TSTP Solution File: SCT170+2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SCT170+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 : Mon Jul 18 22:04:23 EDT 2022
% Result : Timeout 300.06s 300.28s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SCT170+2 : TPTP v8.1.0. Released v5.3.0.
% 0.09/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sat Jul 2 04:50:44 EDT 2022
% 0.16/0.37 % CPUTime :
% 1.48/1.80 ============================== Prover9 ===============================
% 1.48/1.80 Prover9 (32) version 2009-11A, November 2009.
% 1.48/1.80 Process 11842 was started by sandbox2 on n021.cluster.edu,
% 1.48/1.80 Sat Jul 2 04:50:46 2022
% 1.48/1.80 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11688_n021.cluster.edu".
% 1.48/1.80 ============================== end of head ===========================
% 1.48/1.80
% 1.48/1.80 ============================== INPUT =================================
% 1.48/1.80
% 1.48/1.80 % Reading from file /tmp/Prover9_11688_n021.cluster.edu
% 1.48/1.80
% 1.48/1.80 set(prolog_style_variables).
% 1.48/1.80 set(auto2).
% 1.48/1.80 % set(auto2) -> set(auto).
% 1.48/1.80 % set(auto) -> set(auto_inference).
% 1.48/1.80 % set(auto) -> set(auto_setup).
% 1.48/1.80 % set(auto_setup) -> set(predicate_elim).
% 1.48/1.80 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.48/1.80 % set(auto) -> set(auto_limits).
% 1.48/1.80 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.48/1.80 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.48/1.80 % set(auto) -> set(auto_denials).
% 1.48/1.80 % set(auto) -> set(auto_process).
% 1.48/1.80 % set(auto2) -> assign(new_constants, 1).
% 1.48/1.80 % set(auto2) -> assign(fold_denial_max, 3).
% 1.48/1.80 % set(auto2) -> assign(max_weight, "200.000").
% 1.48/1.80 % set(auto2) -> assign(max_hours, 1).
% 1.48/1.80 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.48/1.80 % set(auto2) -> assign(max_seconds, 0).
% 1.48/1.80 % set(auto2) -> assign(max_minutes, 5).
% 1.48/1.80 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.48/1.80 % set(auto2) -> set(sort_initial_sos).
% 1.48/1.80 % set(auto2) -> assign(sos_limit, -1).
% 1.48/1.80 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.48/1.80 % set(auto2) -> assign(max_megs, 400).
% 1.48/1.80 % set(auto2) -> assign(stats, some).
% 1.48/1.80 % set(auto2) -> clear(echo_input).
% 1.48/1.80 % set(auto2) -> set(quiet).
% 1.48/1.80 % set(auto2) -> clear(print_initial_clauses).
% 1.48/1.80 % set(auto2) -> clear(print_given).
% 1.48/1.80 assign(lrs_ticks,-1).
% 1.48/1.80 assign(sos_limit,10000).
% 1.48/1.80 assign(order,kbo).
% 1.48/1.80 set(lex_order_vars).
% 1.48/1.80 clear(print_given).
% 1.48/1.80
% 1.48/1.80 % formulas(sos). % not echoed (1012 formulas)
% 1.48/1.80
% 1.48/1.80 ============================== end of input ==========================
% 1.48/1.80
% 1.48/1.80 % From the command line: assign(max_seconds, 300).
% 1.48/1.80
% 1.48/1.80 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.48/1.80
% 1.48/1.80 % Formulas that are not ordinary clauses:
% 1.48/1.80 1 (all B_1_1 (is_fun20916972t_bool(B_1_1) -> is_fun866579754t_bool(in_rel1361124802le_alt(B_1_1)))) # label(gsy_c_FunDef_Oin__rel_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 2 (all B_1_1 all B_2_1 (is_fun2015243113i_bool(B_1_1) -> is_fun701126715l_bool(pi_Arr1801471756t_bool(B_1_1,B_2_1)))) # label(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 3 (all B_1_1 all B_2_1 (is_fun701126715l_bool(B_1_1) -> is_fun292781289l_bool(pi_fun1555365306t_bool(B_1_1,B_2_1)))) # label(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oin) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 4 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_1_1) -> is_fun1420103068l_bool(pi_Pro1873779901t_bool(B_1_1,B_2_1)))) # label(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 5 (all B_1_1 is_Arr723427730le_alt(hd_Arr1814706386le_alt(B_1_1))) # label(gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 6 (all B_1_1 is_Arr859726945e_indi(hd_Arr1280875809e_indi(B_1_1))) # label(gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 7 (all B_1_1 is_bool(hd_bool(B_1_1))) # label(gsy_c_List_Ohd_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 8 (all B_1_1 is_fun1264457267t_bool(hd_fun780865267t_bool(B_1_1))) # label(gsy_c_List_Ohd_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 9 (all B_1_1 is_fun48324065t_bool(hd_fun1289819809t_bool(B_1_1))) # label(gsy_c_List_Ohd_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 10 (all B_1_1 is_fun20916972t_bool(hd_fun1937506860t_bool(B_1_1))) # label(gsy_c_List_Ohd_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 11 (all B_1_1 is_Pro1004667236le_alt(hd_Pro804272676le_alt(B_1_1))) # label(gsy_c_List_Ohd_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 12 (all B_1_1 is_Arr723427730le_alt(last_A1066338328le_alt(B_1_1))) # label(gsy_c_List_Olast_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 13 (all B_1_1 is_Arr859726945e_indi(last_A560832347e_indi(B_1_1))) # label(gsy_c_List_Olast_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 14 (all B_1_1 is_bool(last_bool(B_1_1))) # label(gsy_c_List_Olast_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 15 (all B_1_1 is_fun1264457267t_bool(last_f1921219373t_bool(B_1_1))) # label(gsy_c_List_Olast_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oind) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 16 (all B_1_1 is_fun48324065t_bool(last_f584510683t_bool(B_1_1))) # label(gsy_c_List_Olast_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 17 (all B_1_1 is_fun20916972t_bool(last_f1172522866t_bool(B_1_1))) # label(gsy_c_List_Olast_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsun) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 18 (all B_1_1 is_Pro1004667236le_alt(last_P15572062le_alt(B_1_1))) # label(gsy_c_List_Olast_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oal) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 19 (all B_1_1 is_fun1651000642t_bool(set_Ar426477344le_alt(B_1_1))) # label(gsy_c_List_Oset_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 20 (all B_1_1 is_fun2015243113i_bool(set_Ar1035526739e_indi(B_1_1))) # label(gsy_c_List_Oset_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 21 (all B_1_1 is_fun_bool_bool(set_bool(B_1_1))) # label(gsy_c_List_Oset_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 22 (all B_1_1 is_fun701126715l_bool(set_fu222164517t_bool(B_1_1))) # label(gsy_c_List_Oset_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 23 (all B_1_1 is_fun292781289l_bool(set_fu1433968595t_bool(B_1_1))) # label(gsy_c_List_Oset_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqm) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 24 (all B_1_1 is_fun1420103068l_bool(set_fu444796538t_bool(B_1_1))) # label(gsy_c_List_Oset_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 25 (all B_1_1 is_fun20916972t_bool(set_Pr2031705942le_alt(B_1_1))) # label(gsy_c_List_Oset_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 26 (all B_1_1 (is_fun1651000642t_bool(B_1_1) -> is_fun1420103068l_bool(order_1844940151le_alt(B_1_1)))) # label(gsy_c_Order__Relation_Ostrict__linear__order__on_000tc__Arrow____Order____Mirabe) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 27 (all B_1_1 (is_fun20916972t_bool(B_1_1) -> is_fun866579754t_bool(produc616221118t_bool(B_1_1)))) # label(gsy_c_Product__Type_Ocurry_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oal) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 28 (all B_1_1 (is_fun866579754t_bool(B_1_1) -> is_fun20916972t_bool(produc278404511t_bool(B_1_1)))) # label(gsy_c_Product__Type_Oprod_Oprod__case_000tc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 29 (all B_1_1 (is_fun1651000642t_bool(B_1_1) -> is_fun1651000642t_bool(collec591097828le_alt(B_1_1)))) # label(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 30 (all B_1_1 (is_fun2015243113i_bool(B_1_1) -> is_fun2015243113i_bool(collec279390863e_indi(B_1_1)))) # label(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 31 (all B_1_1 (is_fun701126715l_bool(B_1_1) -> is_fun701126715l_bool(collec1567922785t_bool(B_1_1)))) # label(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 32 (all B_1_1 (is_fun292781289l_bool(B_1_1) -> is_fun292781289l_bool(collec1517527055t_bool(B_1_1)))) # label(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 33 (all B_1_1 (is_fun1420103068l_bool(B_1_1) -> is_fun1420103068l_bool(collec612883262t_bool(B_1_1)))) # label(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 34 (all B_1_1 (is_fun20916972t_bool(B_1_1) -> is_fun20916972t_bool(collec1376511890le_alt(B_1_1)))) # label(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 35 (all B_1_1 all B_2_1 (is_fun1651000642t_bool(B_1_1) & is_Arr723427730le_alt(B_2_1) -> is_bool(hAPP_A1120018583t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 36 (all B_1_1 all B_2_1 (is_fun866579754t_bool(B_1_1) & is_Arr723427730le_alt(B_2_1) -> is_fun1651000642t_bool(hAPP_A1781286015t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 37 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_fun1264457267t_bool(hAPP_A630236912t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_002) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 38 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_fun701126715l_bool(hAPP_A1745457982l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_003) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 39 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_fun48324065t_bool(hAPP_A88621982t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_004) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 40 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_fun292781289l_bool(hAPP_A990651116l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_005) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 41 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_fun1420103068l_bool(hAPP_A433435097l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_006) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 42 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_fun20916972t_bool(hAPP_A1014090479t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_007) # label(hypothesis) # label(non_clause). [assumption].
% 1.48/1.80 43 (all B_1_1 all B_2_1 (is_Arr723427730le_alt(B_2_1) -> is_Pro1004667236le_alt(hAPP_A1561816353le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__prod_It) # label(hypothesis) # label(non_clause). [assumption].
% 1.48/1.80 44 (all B_1_1 all B_2_1 (is_fun2015243113i_bool(B_1_1) & is_Arr859726945e_indi(B_2_1) -> is_bool(hAPP_A416869060i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__HOL__O) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 45 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_fun2015243113i_bool(hAPP_A1609075839i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 46 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_fun1264457267t_bool(hAPP_A739031709t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_008) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 47 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_fun701126715l_bool(hAPP_A701636433l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_009) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 48 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_fun48324065t_bool(hAPP_A1433148491t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_010) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 49 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_fun292781289l_bool(hAPP_A955165183l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_011) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 50 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_fun1420103068l_bool(hAPP_A659996934l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_012) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 51 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_1_1) & is_Arr859726945e_indi(B_2_1) -> is_fun20916972t_bool(hAPP_A340536322t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_013) # label(hypothesis) # label(non_clause). [assumption].
% 1.48/1.80 52 (all B_1_1 all B_2_1 (is_Arr859726945e_indi(B_2_1) -> is_Pro1004667236le_alt(hAPP_A503573454le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__prod_I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 53 (all B_1_1 all B_2_1 (is_fun_bool_bool(B_1_1) & is_bool(B_2_1) -> is_bool(hAPP_bool_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 54 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun1651000642t_bool(hAPP_b287951269t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 55 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun2015243113i_bool(hAPP_b2116075462i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls_014) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 56 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun1264457267t_bool(hAPP_b821377302t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls_015) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 57 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun_bool_bool(hAPP_b589554111l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 58 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun701126715l_bool(hAPP_b1461182872l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 59 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun48324065t_bool(hAPP_b327863236t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_016) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 60 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun292781289l_bool(hAPP_b651754310l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 61 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun1420103068l_bool(hAPP_b805997823l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 62 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_fun20916972t_bool(hAPP_b763490121t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 63 (all B_1_1 all B_2_1 (is_bool(B_2_1) -> is_Pro1004667236le_alt(hAPP_b1482008903le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabelle____wyl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 64 (all B_1_1 all B_2_1 is_bool(hAPP_l300482276t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 65 (all B_1_1 all B_2_1 is_bool(hAPP_l479254477i_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 66 (all B_1_1 all B_2_1 is_bool(hAPP_list_bool_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__HOL__Obool_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 67 (all B_1_1 all B_2_1 is_bool(hAPP_l784127213t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__List__Olist_Itc__Arrow____Order____Mirabelle_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 68 (all B_1_1 all B_2_1 is_bool(hAPP_l4338847l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 69 (all B_1_1 all B_2_1 is_bool(hAPP_l1936415565l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 70 (all B_1_1 all B_2_1 is_bool(hAPP_l1684828478l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabell) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 71 (all B_1_1 all B_2_1 is_bool(hAPP_l548550096t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 72 (all B_1_1 all B_2_1 is_bool(hAPP_l1642116416t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Arrow____Order____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 73 (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].
% 1.48/1.80 74 (all B_1_1 all B_2_1 (is_fun1651000642t_bool(B_2_1) -> is_bool(hAPP_f87553445l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 75 (all B_1_1 all B_2_1 (is_fun1651000642t_bool(B_2_1) -> is_fun1651000642t_bool(hAPP_f246757773t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc___017) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 76 (all B_1_1 all B_2_1 (is_fun866579754t_bool(B_2_1) -> is_fun866579754t_bool(hAPP_f271508829t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc___018) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 77 (all B_1_1 all B_2_1 (is_fun2015243113i_bool(B_2_1) -> is_bool(hAPP_f160177134l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 78 (all B_1_1 all B_2_1 (is_fun2015243113i_bool(B_2_1) -> is_fun2015243113i_bool(hAPP_f1282033109i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__019) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 79 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_Arr723427730le_alt(hAPP_f1287961430le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__020) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 80 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_Arr859726945e_indi(hAPP_f350403485e_indi(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__021) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 81 (all B_1_1 all B_2_1 (is_fun701126715l_bool(B_1_1) & is_fun1264457267t_bool(B_2_1) -> is_bool(hAPP_f1378099862l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__022) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 82 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_fun1651000642t_bool(hAPP_f3167870t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__023) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 83 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_fun2015243113i_bool(hAPP_f1570138413i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__024) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 84 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_fun_bool_bool(hAPP_f591334822l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__025) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 85 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_fun701126715l_bool(hAPP_f1901083135l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__026) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 86 (all B_1_1 all B_2_1 (is_fun1264457267t_bool(B_2_1) -> is_fun1420103068l_bool(hAPP_f1895971544l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__027) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 87 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_1_1) & is_fun1264457267t_bool(B_2_1) -> is_fun20916972t_bool(hAPP_f1817389232t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__028) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 88 (all B_1_1 all B_2_1 (is_fun_bool_bool(B_2_1) -> is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 89 (all B_1_1 all B_2_1 (is_fun_bool_bool(B_2_1) -> is_fun_bool_bool(hAPP_f961197973l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc__HOL__Obo) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 90 (all B_1_1 all B_2_1 is_bool(hAPP_f1472889102l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsu) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 91 (all B_1_1 all B_2_1 is_bool(hAPP_f2140553640l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 92 (all B_1_1 all B_2_1 is_bool(hAPP_f1134444118l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_029) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 93 (all B_1_1 all B_2_1 is_bool(hAPP_f640821677l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_030) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 94 (all B_1_1 all B_2_1 is_bool(hAPP_f2129568089l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_031) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 95 (all B_1_1 all B_2_1 is_bool(hAPP_f1898839893l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_032) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 96 (all B_1_1 all B_2_1 is_bool(hAPP_f2016919811l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_033) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 97 (all B_1_1 all B_2_1 (is_fun701126715l_bool(B_2_1) -> is_bool(hAPP_f147218624l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_034) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 98 (all B_1_1 all B_2_1 (is_fun701126715l_bool(B_2_1) -> is_fun701126715l_bool(hAPP_f189058133l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_035) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 99 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_2_1) -> is_Arr723427730le_alt(hAPP_f1273877800le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_036) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 100 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_2_1) -> is_Arr859726945e_indi(hAPP_f2043811403e_indi(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_037) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 101 (all B_1_1 all B_2_1 (is_fun292781289l_bool(B_1_1) & is_fun48324065t_bool(B_2_1) -> is_bool(hAPP_f446648900l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_038) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 102 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_2_1) -> is_fun1651000642t_bool(hAPP_f1741989420t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_039) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 103 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_2_1) -> is_fun2015243113i_bool(hAPP_f783549695i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_040) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 104 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_2_1) -> is_fun_bool_bool(hAPP_f721327224l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_041) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 105 (all B_1_1 all B_2_1 (is_fun48324065t_bool(B_2_1) -> is_fun292781289l_bool(hAPP_f656614015l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_042) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 106 (all B_1_1 all B_2_1 is_bool(hAPP_f1291635206l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_043) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 107 (all B_1_1 all B_2_1 is_bool(hAPP_f620747982l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 108 (all B_1_1 all B_2_1 is_bool(hAPP_f740740988l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 109 (all B_1_1 all B_2_1 is_bool(hAPP_f937100551l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 110 (all B_1_1 all B_2_1 is_bool(hAPP_f2053170815l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 111 (all B_1_1 all B_2_1 is_bool(hAPP_f412569108l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 112 (all B_1_1 all B_2_1 is_bool(hAPP_f882250837l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_044) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 113 (all B_1_1 all B_2_1 is_bool(hAPP_f1138659662l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_045) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 114 (all B_1_1 all B_2_1 (is_fun292781289l_bool(B_2_1) -> is_bool(hAPP_f322109294l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_046) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 115 (all B_1_1 all B_2_1 (is_fun292781289l_bool(B_2_1) -> is_fun292781289l_bool(hAPP_f1028172757l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_047) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 116 (all B_1_1 all B_2_1 is_bool(hAPP_f505027144l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_048) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 117 (all B_1_1 all B_2_1 is_bool(hAPP_f1094272486l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 118 (all B_1_1 all B_2_1 is_bool(hAPP_f742658307l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_049) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 119 (all B_1_1 all B_2_1 is_bool(hAPP_f750478076l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_050) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 120 (all B_1_1 all B_2_1 is_bool(hAPP_f1484382710l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_051) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 121 (all B_1_1 all B_2_1 is_bool(hAPP_f1518247545l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 122 (all B_1_1 all B_2_1 is_bool(hAPP_f1021828400l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_052) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 123 (all B_1_1 all B_2_1 is_bool(hAPP_f560261801l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_053) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 124 (all B_1_1 all B_2_1 is_bool(hAPP_f270557859l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_054) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 125 (all B_1_1 all B_2_1 is_bool(hAPP_f784749731l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 126 (all B_1_1 all B_2_1 is_bool(hAPP_f817344902l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_055) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 127 (all B_1_1 all B_2_1 (is_fun1420103068l_bool(B_2_1) -> is_bool(hAPP_f560517119l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_056) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 128 (all B_1_1 all B_2_1 (is_fun1420103068l_bool(B_2_1) -> is_fun1420103068l_bool(hAPP_f574392641l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_057) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 129 (all B_1_1 all B_2_1 is_bool(hAPP_f437011961l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_058) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 130 (all B_1_1 all B_2_1 is_bool(hAPP_f404365000l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order___) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 131 (all B_1_1 all B_2_1 is_bool(hAPP_f2139503478l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order____059) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 132 (all B_1_1 all B_2_1 is_bool(hAPP_f1488127117l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order____060) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 133 (all B_1_1 all B_2_1 is_bool(hAPP_f2031902329l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order____061) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 134 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_Arr723427730le_alt(hAPP_f459545019le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 135 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_Arr859726945e_indi(hAPP_f1283454584e_indi(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___062) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 136 (all B_1_1 all B_2_1 (is_fun1420103068l_bool(B_1_1) & is_fun20916972t_bool(B_2_1) -> is_bool(hAPP_f1733357041l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___063) # label(hypothesis) # label(non_clause). [assumption].
% 1.48/1.80 137 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun1651000642t_bool(hAPP_f1068593625t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___064) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 138 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun866579754t_bool(hAPP_f1840820673t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___065) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 139 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun2015243113i_bool(hAPP_f431432850i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___066) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 140 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun1264457267t_bool(hAPP_f590186314t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___067) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 141 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun_bool_bool(hAPP_f812095627l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___068) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 142 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun1420103068l_bool(hAPP_f1344932147l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___069) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 143 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_2_1) -> is_fun20916972t_bool(hAPP_f137597973t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___070) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 144 (all B_1_1 all B_2_1 is_bool(hAPP_f511649569l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___071) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 145 (all B_1_1 all B_2_1 is_bool(hAPP_f1098788115l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__HOL__Obool_Mtc__HOL__Obool_J_Mtc__HOL__Oboo) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 146 (all B_1_1 all B_2_1 is_bool(hAPP_f890578273l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabell) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 147 (all B_1_1 all B_2_1 is_bool(hAPP_f1140617841l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabell_072) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 148 (all B_1_1 all B_2_1 is_bool(hAPP_f263022001l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__HOL__Obool_J_Mtc__List__Ol) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 149 (all B_1_1 all B_2_1 is_bool(hAPP_f2099712241l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Arrow____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 150 (all B_1_1 all B_2_1 is_bool(hAPP_f288803825l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__fun_Itc__Arrow____Order___) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 151 (all B_1_1 all B_2_1 is_bool(hAPP_f1456773233l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__fun_Itc__fun_Itc__Arrow___) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 152 (all B_1_1 all B_2_1 is_bool(hAPP_f1422872597l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__fun_Itc__prod_Itc__Arrow__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 153 (all B_1_1 all B_2_1 is_bool(hAPP_f1342253361l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__Arrow____Order__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 154 (all B_1_1 all B_2_1 is_bool(hAPP_f2078996785l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 155 (all B_1_1 all B_2_1 is_bool(hAPP_f1508705733l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 156 (all B_1_1 all B_2_1 is_bool(hAPP_f140107297l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 157 (all B_1_1 all B_2_1 is_bool(hAPP_f891725169l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 158 (all B_1_1 all B_2_1 is_bool(hAPP_f1720639399l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 159 (all B_1_1 all B_2_1 is_bool(hAPP_f704486919l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Arrow____Order__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 160 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_Arr723427730le_alt(hAPP_P870295781le_alt(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 161 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_Arr859726945e_indi(hAPP_P1645359566e_indi(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__073) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 162 (all B_1_1 all B_2_1 (is_fun20916972t_bool(B_1_1) & is_Pro1004667236le_alt(B_2_1) -> is_bool(hAPP_P1813625415t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__074) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 163 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_fun1651000642t_bool(hAPP_P1116266031t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__075) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 164 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_fun2015243113i_bool(hAPP_P957402556i_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__076) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 165 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_fun_bool_bool(hAPP_P1122857141l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__077) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 166 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_fun1420103068l_bool(hAPP_P1151433609l_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__078) # label(hypothesis) # label(non_clause). [assumption].
% 1.48/1.80 167 (all B_1_1 all B_2_1 (is_Pro1004667236le_alt(B_2_1) -> is_fun20916972t_bool(hAPP_P1999019327t_bool(B_1_1,B_2_1)))) # label(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__079) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 168 (all B_1_1 all B_2_1 is_bool(hAPP_P1373277879t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 169 (all B_1_1 all B_2_1 is_fun1264457267t_bool(hAPP_P1689126160t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_080) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 170 (all B_1_1 all B_2_1 is_fun701126715l_bool(hAPP_P2049543454l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_081) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 171 (all B_1_1 all B_2_1 is_fun48324065t_bool(hAPP_P482525630t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_082) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 172 (all B_1_1 all B_2_1 is_fun292781289l_bool(hAPP_P1533476044l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_083) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 173 (all B_1_1 all B_2_1 is_fun1420103068l_bool(hAPP_P467353593l_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_084) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 174 (all B_1_1 all B_2_1 is_fun20916972t_bool(hAPP_P651748559t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_085) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 175 (all B_1_1 all B_2_1 is_Pro1004667236le_alt(hAPP_P802532161le_alt(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_086) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 176 (all I (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,I))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_A340536322t_bool(p_1,I))))) # label(fact_5_iff) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 177 -(all C (is_Arr723427730le_alt(C) -> -hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,C),nil_Ar1135217151le_alt))))))) # label(fact_6__096_B_Bthesis_O_A_I_B_Bc_O_Adistinct_A_091a_M_Ab_M_Ac_093_A_061_061_062_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 178 (all X_1 all Y_2 all L_1 all Z_1 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) & is_Arr723427730le_alt(Z_1) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),hAPP_A1014090479t_bool(arrow_163947511_mkbot(L_1),Z_1))) <-> Y_2 != Z_1 & (X_1 = Z_1 -> X_1 != Y_2) & (X_1 != Z_1 -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),L_1)))))) # label(fact_10_in__mkbot) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 179 (all X_1 all Y_2 all L_1 all Z_1 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) & is_Arr723427730le_alt(Z_1) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),hAPP_A1014090479t_bool(arrow_312654597_mktop(L_1),Z_1))) <-> X_1 != Z_1 & (Y_2 = Z_1 -> X_1 != Y_2) & (Y_2 != Z_1 -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),L_1)))))) # label(fact_11_in__mktop) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 180 (all X_1 all Y_2 all L_1 all Aa all Ba (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) & is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) -> (Aa != Ba -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,L_1),Aa),Ba))) <-> X_1 != Y_2 & (Y_2 = Aa -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Ba)),L_1))) & (Y_2 != Aa -> (X_1 = Aa -> Y_2 = Ba | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Y_2)),L_1))) & (X_1 != Aa -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),L_1))))))))) # label(fact_12_in__below) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 181 (all Pa ((all X1 hBOOL(hAPP_P1373277879t_bool(Pa,X1))) <-> (all A all B hBOOL(hAPP_P1373277879t_bool(Pa,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A),B)))))) # label(fact_13_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 182 (all Pa ((all X1 (is_Pro1004667236le_alt(X1) -> hBOOL(hAPP_P1813625415t_bool(Pa,X1)))) <-> (all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> hBOOL(hAPP_P1813625415t_bool(Pa,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B))))))) # label(fact_14_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 183 (all Aa all Ba all A_2 all B_3 (hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba) = hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A_2),B_3) <-> Aa = A_2 & Ba = B_3)) # label(fact_15_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 184 (all Aa all Ba all A_2 all B_3 (is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) & is_Arr723427730le_alt(A_2) & is_Arr723427730le_alt(B_3) -> (hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_2),B_3) <-> Aa = A_2 & Ba = B_3))) # label(fact_16_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 185 (all A_7 all B_5 all A_6 all B_4 (hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A_7),B_5) = hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A_6),B_4) -> -(A_7 = A_6 -> B_5 != B_4))) # label(fact_17_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 186 (all A_7 all B_5 all A_6 all B_4 (is_Arr723427730le_alt(A_7) & is_Arr723427730le_alt(B_5) & is_Arr723427730le_alt(A_6) & is_Arr723427730le_alt(B_4) -> (hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_7),B_5) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_6),B_4) -> -(A_7 = A_6 -> B_5 != B_4)))) # label(fact_18_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 187 (all R_2 all X_1 all Y_2 (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(in_rel264468792le_alt(R_2),X_1),Y_2)) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_2)))) # label(fact_19_in__rel__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 188 (all R_2 all X_1 all Y_2 (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(in_rel1361124802le_alt(R_2),X_1),Y_2)) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_2)))) # label(fact_20_in__rel__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 189 (all L_1 all X_1 all Y_2 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (X_1 != Y_2 -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,L_1),X_1),Y_2)),arrow_912654623le_Lin)))))) # label(fact_21_below__Lin) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 190 (all P_a all Pa all A_2 all B_3 all Aa all Ba (is_Arr723427730le_alt(A_2) & is_Arr723427730le_alt(B_3) & is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) -> (Aa != Ba -> (A_2 != B_3 -> (Aa != B_3 -> (Ba != A_2 -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof)) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_a),arrow_583275979e_Prof)) -> ((all I (is_Arr859726945e_indi(I) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_2),B_3)),hAPP_A340536322t_bool(P_a,I)))))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_2),B_3)),hAPP_f1817389232t_bool(f,P_a))))))))))))) # label(fact_23__C1_C) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 191 (all P_a all Pa all A_2 all B_3 all Aa all Ba (is_Arr723427730le_alt(A_2) & is_Arr723427730le_alt(B_3) & is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) -> (Aa != Ba -> (A_2 != B_3 -> (Aa != B_3 -> (Ba != A_2 -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof)) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_a),arrow_583275979e_Prof)) -> ((all I (is_Arr859726945e_indi(I) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_2),B_3)),hAPP_A340536322t_bool(P_a,I)))))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_2),B_3)),hAPP_f1817389232t_bool(f,P_a))))))))))))) # label(fact_24__C2_C) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 192 (all L_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,L_1)),arrow_583275979e_Prof)))) # label(fact_26_const__Lin__Prof) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 193 (all X_1 all L_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(arrow_163947511_mkbot(L_1),X_1)),arrow_912654623le_Lin)))) # label(fact_27_mkbot__Lin) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 194 (all X_1 all L_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(arrow_312654597_mktop(L_1),X_1)),arrow_912654623le_Lin)))) # label(fact_28_mktop__Lin) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 195 (all Aa all Ba all L_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),L_1)) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Aa)),L_1))))) # label(fact_29_Lin__irrefl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 196 (all X_1 all Y_2 all L_1 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> (X_1 != Y_2 -> (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),L_1)) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Y_2),X_1)),L_1))))))) # label(fact_30_notin__Lin__iff) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 197 (all A_5 all B_2 (is_Arr723427730le_alt(A_5) & is_Arr723427730le_alt(B_2) -> (A_5 != B_2 -> (exists C (is_Arr723427730le_alt(C) & hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A_5),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,B_2),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,C),nil_Ar1135217151le_alt)))))))))) # label(fact_31_third__alt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 198 (all Fa (hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,Fa)) <-> (all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),arrow_583275979e_Prof)) -> (all Xa (is_fun1264457267t_bool(Xa) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Xa),arrow_583275979e_Prof)) -> (all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> ((all I (is_Arr859726945e_indi(I) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_A340536322t_bool(X_2,I))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_A340536322t_bool(Xa,I)))))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_f1817389232t_bool(Fa,X_2))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_f1817389232t_bool(Fa,Xa))))))))))))))) # label(fact_32_IIA__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 199 (all Fa (hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,Fa)) <-> (all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),arrow_583275979e_Prof)) -> (all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> ((all I (is_Arr859726945e_indi(I) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_A340536322t_bool(X_2,I))))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_f1817389232t_bool(Fa,X_2))))))))))) # label(fact_33_unanimity__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.80 200 (all Aa all Ba (is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) -> (Aa != Ba -> (exists X_2 (is_fun20916972t_bool(X_2) & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),arrow_912654623le_Lin)) & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),X_2))))))) # label(fact_34_complete__Lin) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 201 (all X_1 all Y_2 all L_1 all Aa all Ba (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) & is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) -> (Aa != Ba -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),hAPP_A1014090479t_bool(arrow_1046586475_above(L_1,Aa),Ba))) <-> X_1 != Y_2 & (X_1 = Ba -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Y_2)),L_1))) & (X_1 != Ba -> (Y_2 = Ba -> X_1 = Aa | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Aa)),L_1))) & (Y_2 != Ba -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),L_1))))))))) # label(fact_35_in__above) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 202 (all A_4 all List_4 nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A_4),List_4)) # label(fact_37_list_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 203 (all A_3 all List_3 hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A_3),List_3) != nil_Ar1135217151le_alt) # label(fact_38_list_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 204 (exists A exists B exists C (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) & is_Arr723427730le_alt(C) & hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,B),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,C),nil_Ar1135217151le_alt))))))) # label(fact_39_alt3) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 205 (exists L_2 (is_fun20916972t_bool(L_2) & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_2),arrow_912654623le_Lin)))) # label(fact_40_linear__alt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 206 (all Aa all List_2 all A_2 all List_1 (is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(A_2) -> (hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Aa),List_2) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A_2),List_1) <-> Aa = A_2 & List_2 = List_1))) # label(fact_41_list_Oinject) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 207 (all X_23 all Xs_41 hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_23),Xs_41) != Xs_41) # label(fact_42_not__Cons__self2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 208 (all Xs_40 all X_22 Xs_40 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_22),Xs_40)) # label(fact_43_not__Cons__self) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 209 (all L_1 all X_1 all Y_2 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (X_1 != Y_2 -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(arrow_1046586475_above(L_1,X_1),Y_2)),arrow_912654623le_Lin)))))) # label(fact_44_above__Lin) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 210 (all I_4 all Fa (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Fa),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) -> ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),arrow_583275979e_Prof)) -> (all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> (A != B -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_A340536322t_bool(X_2,I_4))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),hAPP_f1817389232t_bool(Fa,X_2)))))))))) -> hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,Fa),I_4))))) # label(fact_45_dictatorI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 211 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_1)),hAPP_P1122857141l_bool(B_1,X_1))) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1))))) # label(fact_46_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 212 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2129568089l_bool(hAPP_f884817497l_bool(member442467260le_alt,F),pi_Arr914263595le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(F,X_1)),hAPP_A1014090479t_bool(B_1,X_1))) -> -hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1))))) # label(fact_47_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 213 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_1)),hAPP_A340536322t_bool(B_1,X_1))) -> -hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1))))) # label(fact_48_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 214 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2031902329l_bool(hAPP_f772908877l_bool(member1097202038le_alt,F),pi_Pro1742482359le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P802532161le_alt(F,X_1)),hAPP_P651748559t_bool(B_1,X_1))) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1))))) # label(fact_49_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 215 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_1)),hAPP_b763490121t_bool(B_1,X_1))) -> -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1))))) # label(fact_50_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 216 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2140553640l_bool(hAPP_f1101355639l_bool(member1423816203t_bool,F),pi_Arr425730554t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A630236912t_bool(F,X_1)),hAPP_A1745457982l_bool(B_1,X_1))) -> -hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1))))) # label(fact_51_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 217 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_1)),hAPP_A701636433l_bool(B_1,X_1))) -> -hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1))))) # label(fact_52_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 218 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f404365000l_bool(hAPP_f4855309l_bool(member30324165t_bool,F),pi_Pro54111110t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1689126160t_bool(F,X_1)),hAPP_P2049543454l_bool(B_1,X_1))) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1))))) # label(fact_53_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 219 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_1)),hAPP_b1461182872l_bool(B_1,X_1))) -> -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1))))) # label(fact_54_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 220 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f640821677l_bool(hAPP_f1475191373l_bool(member1194332074t_bool,F),pi_Arr1752452453t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(F,X_1)),hAPP_A433435097l_bool(B_1,X_1))) -> -hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1))))) # label(fact_55_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 221 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1488127117l_bool(hAPP_f1070625729l_bool(member1770643824t_bool,F),pi_Pro1560469721t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P651748559t_bool(F,X_1)),hAPP_P467353593l_bool(B_1,X_1))) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1))))) # label(fact_56_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 222 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_1)),hAPP_b805997823l_bool(B_1,X_1))) -> -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1))))) # label(fact_57_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 223 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1134444118l_bool(hAPP_f850619859l_bool(member821152697t_bool,F),pi_Arr1120237736t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A88621982t_bool(F,X_1)),hAPP_A990651116l_bool(B_1,X_1))) -> -hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1))))) # label(fact_58_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 224 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_1)),hAPP_A955165183l_bool(B_1,X_1))) -> -hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1))))) # label(fact_59_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 225 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2139503478l_bool(hAPP_f115737741l_bool(member1712829811t_bool,F),pi_Pro519450164t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P482525630t_bool(F,X_1)),hAPP_P1533476044l_bool(B_1,X_1))) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1))))) # label(fact_60_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 226 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_1)),hAPP_b651754310l_bool(B_1,X_1))) -> -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1))))) # label(fact_61_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 227 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f784749731l_bool(hAPP_f731818989l_bool(member385159430le_alt,F),pi_Pro222743023le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_P870295781le_alt(F,X_1)),hAPP_P1116266031t_bool(B_1,X_1))) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1))))) # label(fact_62_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 228 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A_1,B_1))) -> (-hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_1)),hAPP_P957402556i_bool(B_1,X_1))) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1))))) # label(fact_63_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 229 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f437011961l_bool(hAPP_f1325762381l_bool(member2074697974le_alt,F),pi_Pro368504503le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_P1576037953le_alt(F,X_1)),hAPP_P1436281263t_bool(B_1,X_1))) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1))))) # label(fact_64_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 230 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f412569108l_bool(hAPP_f1136111951l_bool(member1464733303le_alt,F),pi_fun1083455072le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1287961430le_alt(F,X_1)),hAPP_f3167870t_bool(B_1,X_1))) -> -hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1))))) # label(fact_65_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 231 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A_1,B_1))) -> (-hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_1)),hAPP_f1570138413i_bool(B_1,X_1))) -> -hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1))))) # label(fact_66_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 232 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f505027144l_bool(hAPP_f1140553229l_bool(member39203141le_alt,F),pi_fun1110020102le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f597551504le_alt(F,X_1)),hAPP_f1329247136t_bool(B_1,X_1))) -> -hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1))))) # label(fact_67_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 233 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A_1,B_1))) -> (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_1)),hAPP_f591334822l_bool(B_1,X_1))) -> -hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1))))) # label(fact_68_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 234 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1518247545l_bool(hAPP_f599048525l_bool(member2142449782le_alt,F),pi_fun1197906993le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f459545019le_alt(F,X_1)),hAPP_f1068593625t_bool(B_1,X_1))) -> -hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1))))) # label(fact_69_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 235 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A_1,B_1))) -> (-hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_1)),hAPP_f431432850i_bool(B_1,X_1))) -> -hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1))))) # label(fact_70_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 236 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f270557859l_bool(hAPP_f635489773l_bool(member1687274886le_alt,F),pi_fun404660213le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f1643422699le_alt(F,X_1)),hAPP_f1681297285t_bool(B_1,X_1))) -> -hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1))))) # label(fact_71_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 237 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A_1,B_1))) -> (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_1)),hAPP_f812095627l_bool(B_1,X_1))) -> -hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1))))) # label(fact_72_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 238 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1094272486l_bool(hAPP_f1880077555l_bool(member567993161le_alt,F),pi_fun158009906le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1273877800le_alt(F,X_1)),hAPP_f1741989420t_bool(B_1,X_1))) -> -hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1))))) # label(fact_73_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 239 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A_1,B_1))) -> (-hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_1)),hAPP_f783549695i_bool(B_1,X_1))) -> -hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1))))) # label(fact_74_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 240 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1484382710l_bool(hAPP_f1894818957l_bool(member1953881075le_alt,F),pi_fun481655732le_alt(A_1,B_1))) -> (-hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f444731198le_alt(F,X_1)),hAPP_f1114489970t_bool(B_1,X_1))) -> -hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1))))) # label(fact_75_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 241 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A_1,B_1))) -> (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_1)),hAPP_f721327224l_bool(B_1,X_1))) -> -hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1))))) # label(fact_76_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 242 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_1)),hAPP_f1895971544l_bool(B_1,X_1))) -> -hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1))))) # label(fact_77_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 243 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,B_1))) -> (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_1)),hAPP_A659996934l_bool(B_1,X_1))) -> -hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1))))) # label(fact_78_PiE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 244 (all Y_5 (Y_5 != nil_Ar1135217151le_alt -> -(all A all List (is_Arr723427730le_alt(A) -> Y_5 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A),List))))) # label(fact_79_list_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 245 (all Xs (Xs != nil_Ar1135217151le_alt <-> (exists Y_1 exists Ys (is_Arr723427730le_alt(Y_1) & Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),Ys))))) # label(fact_80_neq__Nil__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 246 (all Fa all I_4 (hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,Fa),I_4)) <-> (all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),arrow_583275979e_Prof)) -> hAPP_f1817389232t_bool(Fa,X_2) = hAPP_A340536322t_bool(X_2,I_4)))))) # label(fact_81_dictator__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 247 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,B_1)))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_1)),B_1))))) # label(fact_82_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 248 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f784749731l_bool(hAPP_f731818989l_bool(member385159430le_alt,F),pi_Pro222743023le_alt(A_1,hAPP_f342341961t_bool(cOMBK_980874600le_alt,B_1)))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_P870295781le_alt(F,X_1)),B_1))))) # label(fact_83_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 249 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A_1,hAPP_f3439105i_bool(cOMBK_520250367le_alt,B_1)))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_1)),B_1))))) # label(fact_84_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 250 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f437011961l_bool(hAPP_f1325762381l_bool(member2074697974le_alt,F),pi_Pro368504503le_alt(A_1,hAPP_f2022891751t_bool(cOMBK_1634281074le_alt,B_1)))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_P1576037953le_alt(F,X_1)),B_1))))) # label(fact_85_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 251 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f412569108l_bool(hAPP_f1136111951l_bool(member1464733303le_alt,F),pi_fun1083455072le_alt(A_1,hAPP_f1698272152t_bool(cOMBK_242036279t_bool,B_1)))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1287961430le_alt(F,X_1)),B_1))))) # label(fact_86_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 252 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A_1,hAPP_f1274922098i_bool(cOMBK_948333518t_bool,B_1)))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_1)),B_1))))) # label(fact_87_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 253 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f505027144l_bool(hAPP_f1140553229l_bool(member39203141le_alt,F),pi_fun1110020102le_alt(A_1,hAPP_f303195352t_bool(cOMBK_1264040257t_bool,B_1)))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f597551504le_alt(F,X_1)),B_1))))) # label(fact_88_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 254 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A_1,hAPP_f498119908l_bool(cOMBK_874213703t_bool,B_1)))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_1)),B_1))))) # label(fact_89_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 255 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1518247545l_bool(hAPP_f599048525l_bool(member2142449782le_alt,F),pi_fun1197906993le_alt(A_1,hAPP_f391873743t_bool(cOMBK_339579368t_bool,B_1)))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f459545019le_alt(F,X_1)),B_1))))) # label(fact_90_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 256 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A_1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,B_1)))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_1)),B_1))))) # label(fact_91_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 257 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f270557859l_bool(hAPP_f635489773l_bool(member1687274886le_alt,F),pi_fun404660213le_alt(A_1,hAPP_f684471657t_bool(cOMBK_509674590t_bool,B_1)))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f1643422699le_alt(F,X_1)),B_1))))) # label(fact_92_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 258 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A_1,hAPP_f2062029545l_bool(cOMBK_753699544t_bool,B_1)))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_1)),B_1))))) # label(fact_93_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 259 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1094272486l_bool(hAPP_f1880077555l_bool(member567993161le_alt,F),pi_fun158009906le_alt(A_1,hAPP_f1300833606t_bool(cOMBK_1961253349t_bool,B_1)))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1273877800le_alt(F,X_1)),B_1))))) # label(fact_94_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 260 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A_1,hAPP_f1377869636i_bool(cOMBK_1847391868t_bool,B_1)))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_1)),B_1))))) # label(fact_95_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 261 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1484382710l_bool(hAPP_f1894818957l_bool(member1953881075le_alt,F),pi_fun481655732le_alt(A_1,hAPP_f1228246954t_bool(cOMBK_906927855t_bool,B_1)))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f444731198le_alt(F,X_1)),B_1))))) # label(fact_96_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 262 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A_1,hAPP_f1459432374l_bool(cOMBK_1068969205t_bool,B_1)))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_1)),B_1))))) # label(fact_97_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 263 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2129568089l_bool(hAPP_f884817497l_bool(member442467260le_alt,F),pi_Arr914263595le_alt(A_1,hAPP_f102394819t_bool(cOMBK_78615028le_alt,B_1)))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(F,X_1)),B_1))))) # label(fact_98_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 264 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A_1,hAPP_f590186314t_bool(cOMBK_776703103e_indi,B_1)))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_1)),B_1))))) # label(fact_99_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 265 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2031902329l_bool(hAPP_f772908877l_bool(member1097202038le_alt,F),pi_Pro1742482359le_alt(A_1,hAPP_f1737373975t_bool(cOMBK_1925322610le_alt,B_1)))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P802532161le_alt(F,X_1)),B_1))))) # label(fact_100_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 266 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A_1,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,B_1)))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_1)),B_1))))) # label(fact_101_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 267 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2140553640l_bool(hAPP_f1101355639l_bool(member1423816203t_bool,F),pi_Arr425730554t_bool(A_1,hAPP_f1973254019l_bool(cOMBK_1744976613le_alt,B_1)))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A630236912t_bool(F,X_1)),B_1))))) # label(fact_102_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 268 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A_1,hAPP_f1932802664l_bool(cOMBK_1217667022e_indi,B_1)))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_1)),B_1))))) # label(fact_103_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 269 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f404365000l_bool(hAPP_f4855309l_bool(member30324165t_bool,F),pi_Pro54111110t_bool(A_1,hAPP_f978113205l_bool(cOMBK_1549622337le_alt,B_1)))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1689126160t_bool(F,X_1)),B_1))))) # label(fact_104_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 270 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A_1,hAPP_f1768325679l_bool(cOMBK_391161927l_bool,B_1)))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_1)),B_1))))) # label(fact_105_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 271 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f640821677l_bool(hAPP_f1475191373l_bool(member1194332074t_bool,F),pi_Arr1752452453t_bool(A_1,hAPP_f1954218281l_bool(cOMBK_549130676le_alt,B_1)))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(F,X_1)),B_1))))) # label(fact_106_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 272 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1488127117l_bool(hAPP_f1070625729l_bool(member1770643824t_bool,F),pi_Pro1560469721t_bool(A_1,hAPP_f905851705l_bool(cOMBK_740566962le_alt,B_1)))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P651748559t_bool(F,X_1)),B_1))))) # label(fact_107_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 273 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A_1,hAPP_f118515775l_bool(cOMBK_1028572856l_bool,B_1)))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_1)),B_1))))) # label(fact_108_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 274 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1134444118l_bool(hAPP_f850619859l_bool(member821152697t_bool,F),pi_Arr1120237736t_bool(A_1,hAPP_f1136405251l_bool(cOMBK_1435997879le_alt,B_1)))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A88621982t_bool(F,X_1)),B_1))))) # label(fact_109_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 275 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A_1,hAPP_f206814660l_bool(cOMBK_472365180e_indi,B_1)))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_1)),B_1))))) # label(fact_110_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 276 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2139503478l_bool(hAPP_f115737741l_bool(member1712829811t_bool,F),pi_Pro519450164t_bool(A_1,hAPP_f1197671953l_bool(cOMBK_165199855le_alt,B_1)))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P482525630t_bool(F,X_1)),B_1))))) # label(fact_111_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 277 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A_1,hAPP_f1756719499l_bool(cOMBK_1377637877l_bool,B_1)))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_1)),B_1))))) # label(fact_112_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 278 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,B_1)))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_1)),B_1))))) # label(fact_113_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 279 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,B_1)))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_1)),B_1))))) # label(fact_114_funcset__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 280 (all V_1 all Va splice1369921490le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,V_1),Va),nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,V_1),Va)) # label(fact_115_splice_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 281 (all X_21 all Xs_39 all Y_4 all Ys_18 splice1369921490le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_21),Xs_39),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_4),Ys_18)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_21),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_4),splice1369921490le_alt(Xs_39,Ys_18)))) # label(fact_116_splice_Osimps_I3_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 282 (all Ys_17 splice1369921490le_alt(nil_Ar1135217151le_alt,Ys_17) = Ys_17) # label(fact_117_splice_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 283 (all Xs_38 splice1369921490le_alt(Xs_38,nil_Ar1135217151le_alt) = Xs_38) # label(fact_118_splice__Nil2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 284 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,B_1))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_1)),hAPP_P1122857141l_bool(B_1,X_1)))))) # label(fact_119_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 285 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f784749731l_bool(hAPP_f731818989l_bool(member385159430le_alt,F),pi_Pro222743023le_alt(A_1,B_1))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_P870295781le_alt(F,X_1)),hAPP_P1116266031t_bool(B_1,X_1)))))) # label(fact_120_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 286 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A_1,B_1))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_1)),hAPP_P957402556i_bool(B_1,X_1)))))) # label(fact_121_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 287 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f437011961l_bool(hAPP_f1325762381l_bool(member2074697974le_alt,F),pi_Pro368504503le_alt(A_1,B_1))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_P1576037953le_alt(F,X_1)),hAPP_P1436281263t_bool(B_1,X_1)))))) # label(fact_122_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 288 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f412569108l_bool(hAPP_f1136111951l_bool(member1464733303le_alt,F),pi_fun1083455072le_alt(A_1,B_1))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1287961430le_alt(F,X_1)),hAPP_f3167870t_bool(B_1,X_1)))))) # label(fact_123_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 289 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A_1,B_1))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_1)),hAPP_f1570138413i_bool(B_1,X_1)))))) # label(fact_124_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 290 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f505027144l_bool(hAPP_f1140553229l_bool(member39203141le_alt,F),pi_fun1110020102le_alt(A_1,B_1))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f597551504le_alt(F,X_1)),hAPP_f1329247136t_bool(B_1,X_1)))))) # label(fact_125_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 291 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A_1,B_1))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_1)),hAPP_f591334822l_bool(B_1,X_1)))))) # label(fact_126_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 292 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1518247545l_bool(hAPP_f599048525l_bool(member2142449782le_alt,F),pi_fun1197906993le_alt(A_1,B_1))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f459545019le_alt(F,X_1)),hAPP_f1068593625t_bool(B_1,X_1)))))) # label(fact_127_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 293 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A_1,B_1))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_1)),hAPP_f431432850i_bool(B_1,X_1)))))) # label(fact_128_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 294 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f270557859l_bool(hAPP_f635489773l_bool(member1687274886le_alt,F),pi_fun404660213le_alt(A_1,B_1))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f1643422699le_alt(F,X_1)),hAPP_f1681297285t_bool(B_1,X_1)))))) # label(fact_129_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 295 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A_1,B_1))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_1)),hAPP_f812095627l_bool(B_1,X_1)))))) # label(fact_130_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 296 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1094272486l_bool(hAPP_f1880077555l_bool(member567993161le_alt,F),pi_fun158009906le_alt(A_1,B_1))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1273877800le_alt(F,X_1)),hAPP_f1741989420t_bool(B_1,X_1)))))) # label(fact_131_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 297 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A_1,B_1))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_1)),hAPP_f783549695i_bool(B_1,X_1)))))) # label(fact_132_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 298 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1484382710l_bool(hAPP_f1894818957l_bool(member1953881075le_alt,F),pi_fun481655732le_alt(A_1,B_1))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f444731198le_alt(F,X_1)),hAPP_f1114489970t_bool(B_1,X_1)))))) # label(fact_133_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 299 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A_1,B_1))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_1)),hAPP_f721327224l_bool(B_1,X_1)))))) # label(fact_134_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 300 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2129568089l_bool(hAPP_f884817497l_bool(member442467260le_alt,F),pi_Arr914263595le_alt(A_1,B_1))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(F,X_1)),hAPP_A1014090479t_bool(B_1,X_1)))))) # label(fact_135_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 301 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A_1,B_1))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_1)),hAPP_A340536322t_bool(B_1,X_1)))))) # label(fact_136_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 302 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2031902329l_bool(hAPP_f772908877l_bool(member1097202038le_alt,F),pi_Pro1742482359le_alt(A_1,B_1))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P802532161le_alt(F,X_1)),hAPP_P651748559t_bool(B_1,X_1)))))) # label(fact_137_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 303 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A_1,B_1))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_1)),hAPP_b763490121t_bool(B_1,X_1)))))) # label(fact_138_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 304 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2140553640l_bool(hAPP_f1101355639l_bool(member1423816203t_bool,F),pi_Arr425730554t_bool(A_1,B_1))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A630236912t_bool(F,X_1)),hAPP_A1745457982l_bool(B_1,X_1)))))) # label(fact_139_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 305 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A_1,B_1))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_1)),hAPP_A701636433l_bool(B_1,X_1)))))) # label(fact_140_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 306 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f404365000l_bool(hAPP_f4855309l_bool(member30324165t_bool,F),pi_Pro54111110t_bool(A_1,B_1))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1689126160t_bool(F,X_1)),hAPP_P2049543454l_bool(B_1,X_1)))))) # label(fact_141_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 307 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A_1,B_1))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_1)),hAPP_b1461182872l_bool(B_1,X_1)))))) # label(fact_142_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 308 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f640821677l_bool(hAPP_f1475191373l_bool(member1194332074t_bool,F),pi_Arr1752452453t_bool(A_1,B_1))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(F,X_1)),hAPP_A433435097l_bool(B_1,X_1)))))) # label(fact_143_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 309 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1488127117l_bool(hAPP_f1070625729l_bool(member1770643824t_bool,F),pi_Pro1560469721t_bool(A_1,B_1))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P651748559t_bool(F,X_1)),hAPP_P467353593l_bool(B_1,X_1)))))) # label(fact_144_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 310 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A_1,B_1))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_1)),hAPP_b805997823l_bool(B_1,X_1)))))) # label(fact_145_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 311 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f1134444118l_bool(hAPP_f850619859l_bool(member821152697t_bool,F),pi_Arr1120237736t_bool(A_1,B_1))) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A88621982t_bool(F,X_1)),hAPP_A990651116l_bool(B_1,X_1)))))) # label(fact_146_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 312 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A_1,B_1))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_1)),hAPP_A955165183l_bool(B_1,X_1)))))) # label(fact_147_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 313 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f2139503478l_bool(hAPP_f115737741l_bool(member1712829811t_bool,F),pi_Pro519450164t_bool(A_1,B_1))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P482525630t_bool(F,X_1)),hAPP_P1533476044l_bool(B_1,X_1)))))) # label(fact_148_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 314 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A_1,B_1))) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_1)),hAPP_b651754310l_bool(B_1,X_1)))))) # label(fact_149_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 315 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,B_1))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_1)),hAPP_f1895971544l_bool(B_1,X_1)))))) # label(fact_150_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 316 (all X_1 all F all A_1 all B_1 (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,B_1))) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_1)),hAPP_A659996934l_bool(B_1,X_1)))))) # label(fact_151_Pi__mem) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 317 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_P870295781le_alt(F,X_2)),hAPP_P1116266031t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f784749731l_bool(hAPP_f731818989l_bool(member385159430le_alt,F),pi_Pro222743023le_alt(A_1,B_1))))) # label(fact_152_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 318 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_2)),hAPP_P957402556i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A_1,B_1))))) # label(fact_153_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 319 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_P1576037953le_alt(F,X_2)),hAPP_P1436281263t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f437011961l_bool(hAPP_f1325762381l_bool(member2074697974le_alt,F),pi_Pro368504503le_alt(A_1,B_1))))) # label(fact_154_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 320 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1287961430le_alt(F,X_2)),hAPP_f3167870t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f412569108l_bool(hAPP_f1136111951l_bool(member1464733303le_alt,F),pi_fun1083455072le_alt(A_1,B_1))))) # label(fact_155_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 321 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_2)),hAPP_f1570138413i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A_1,B_1))))) # label(fact_156_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 322 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f597551504le_alt(F,X_2)),hAPP_f1329247136t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f505027144l_bool(hAPP_f1140553229l_bool(member39203141le_alt,F),pi_fun1110020102le_alt(A_1,B_1))))) # label(fact_157_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 323 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_2)),hAPP_f591334822l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A_1,B_1))))) # label(fact_158_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 324 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f459545019le_alt(F,X_2)),hAPP_f1068593625t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1518247545l_bool(hAPP_f599048525l_bool(member2142449782le_alt,F),pi_fun1197906993le_alt(A_1,B_1))))) # label(fact_159_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 325 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_2)),hAPP_f431432850i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A_1,B_1))))) # label(fact_160_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 326 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f1643422699le_alt(F,X_2)),hAPP_f1681297285t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f270557859l_bool(hAPP_f635489773l_bool(member1687274886le_alt,F),pi_fun404660213le_alt(A_1,B_1))))) # label(fact_161_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 327 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_2)),hAPP_f812095627l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A_1,B_1))))) # label(fact_162_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 328 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1273877800le_alt(F,X_2)),hAPP_f1741989420t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1094272486l_bool(hAPP_f1880077555l_bool(member567993161le_alt,F),pi_fun158009906le_alt(A_1,B_1))))) # label(fact_163_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 329 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_2)),hAPP_f783549695i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A_1,B_1))))) # label(fact_164_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 330 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f444731198le_alt(F,X_2)),hAPP_f1114489970t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1484382710l_bool(hAPP_f1894818957l_bool(member1953881075le_alt,F),pi_fun481655732le_alt(A_1,B_1))))) # label(fact_165_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 331 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_2)),hAPP_f721327224l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A_1,B_1))))) # label(fact_166_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 332 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(F,X_2)),hAPP_A1014090479t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2129568089l_bool(hAPP_f884817497l_bool(member442467260le_alt,F),pi_Arr914263595le_alt(A_1,B_1))))) # label(fact_167_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 333 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_2)),hAPP_A340536322t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A_1,B_1))))) # label(fact_168_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 334 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P802532161le_alt(F,X_2)),hAPP_P651748559t_bool(B_1,X_2))))) -> hBOOL(hAPP_f2031902329l_bool(hAPP_f772908877l_bool(member1097202038le_alt,F),pi_Pro1742482359le_alt(A_1,B_1))))) # label(fact_169_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 335 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_2)),hAPP_b763490121t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A_1,B_1))))) # label(fact_170_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 336 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A630236912t_bool(F,X_2)),hAPP_A1745457982l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2140553640l_bool(hAPP_f1101355639l_bool(member1423816203t_bool,F),pi_Arr425730554t_bool(A_1,B_1))))) # label(fact_171_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 337 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_2)),hAPP_A701636433l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A_1,B_1))))) # label(fact_172_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 338 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1689126160t_bool(F,X_2)),hAPP_P2049543454l_bool(B_1,X_2))))) -> hBOOL(hAPP_f404365000l_bool(hAPP_f4855309l_bool(member30324165t_bool,F),pi_Pro54111110t_bool(A_1,B_1))))) # label(fact_173_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 339 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_2)),hAPP_b1461182872l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A_1,B_1))))) # label(fact_174_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 340 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(F,X_2)),hAPP_A433435097l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f640821677l_bool(hAPP_f1475191373l_bool(member1194332074t_bool,F),pi_Arr1752452453t_bool(A_1,B_1))))) # label(fact_175_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 341 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P651748559t_bool(F,X_2)),hAPP_P467353593l_bool(B_1,X_2))))) -> hBOOL(hAPP_f1488127117l_bool(hAPP_f1070625729l_bool(member1770643824t_bool,F),pi_Pro1560469721t_bool(A_1,B_1))))) # label(fact_176_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 342 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_2)),hAPP_b805997823l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A_1,B_1))))) # label(fact_177_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 343 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A88621982t_bool(F,X_2)),hAPP_A990651116l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1134444118l_bool(hAPP_f850619859l_bool(member821152697t_bool,F),pi_Arr1120237736t_bool(A_1,B_1))))) # label(fact_178_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 344 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_2)),hAPP_A955165183l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A_1,B_1))))) # label(fact_179_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 345 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P482525630t_bool(F,X_2)),hAPP_P1533476044l_bool(B_1,X_2))))) -> hBOOL(hAPP_f2139503478l_bool(hAPP_f115737741l_bool(member1712829811t_bool,F),pi_Pro519450164t_bool(A_1,B_1))))) # label(fact_180_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 346 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_2)),hAPP_b651754310l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A_1,B_1))))) # label(fact_181_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 347 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_2)),hAPP_P1122857141l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,B_1))))) # label(fact_182_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 348 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_2)),hAPP_f1895971544l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,B_1))))) # label(fact_183_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 349 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_2)),hAPP_A659996934l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,B_1))))) # label(fact_184_Pi__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 350 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_P870295781le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f784749731l_bool(hAPP_f731818989l_bool(member385159430le_alt,F),pi_Pro222743023le_alt(A_1,hAPP_f342341961t_bool(cOMBK_980874600le_alt,B_1)))))) # label(fact_185_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 351 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_2)),B_1))))) -> hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A_1,hAPP_f3439105i_bool(cOMBK_520250367le_alt,B_1)))))) # label(fact_186_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 352 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_P1576037953le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f437011961l_bool(hAPP_f1325762381l_bool(member2074697974le_alt,F),pi_Pro368504503le_alt(A_1,hAPP_f2022891751t_bool(cOMBK_1634281074le_alt,B_1)))))) # label(fact_187_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 353 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1287961430le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f412569108l_bool(hAPP_f1136111951l_bool(member1464733303le_alt,F),pi_fun1083455072le_alt(A_1,hAPP_f1698272152t_bool(cOMBK_242036279t_bool,B_1)))))) # label(fact_188_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 354 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_2)),B_1))))) -> hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A_1,hAPP_f1274922098i_bool(cOMBK_948333518t_bool,B_1)))))) # label(fact_189_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 355 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f597551504le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f505027144l_bool(hAPP_f1140553229l_bool(member39203141le_alt,F),pi_fun1110020102le_alt(A_1,hAPP_f303195352t_bool(cOMBK_1264040257t_bool,B_1)))))) # label(fact_190_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 356 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A_1,hAPP_f498119908l_bool(cOMBK_874213703t_bool,B_1)))))) # label(fact_191_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 357 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f459545019le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f1518247545l_bool(hAPP_f599048525l_bool(member2142449782le_alt,F),pi_fun1197906993le_alt(A_1,hAPP_f391873743t_bool(cOMBK_339579368t_bool,B_1)))))) # label(fact_192_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 358 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_2)),B_1))))) -> hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A_1,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,B_1)))))) # label(fact_193_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 359 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f1643422699le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f270557859l_bool(hAPP_f635489773l_bool(member1687274886le_alt,F),pi_fun404660213le_alt(A_1,hAPP_f684471657t_bool(cOMBK_509674590t_bool,B_1)))))) # label(fact_194_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 360 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A_1,hAPP_f2062029545l_bool(cOMBK_753699544t_bool,B_1)))))) # label(fact_195_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 361 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1273877800le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f1094272486l_bool(hAPP_f1880077555l_bool(member567993161le_alt,F),pi_fun158009906le_alt(A_1,hAPP_f1300833606t_bool(cOMBK_1961253349t_bool,B_1)))))) # label(fact_196_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 362 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_2)),B_1))))) -> hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A_1,hAPP_f1377869636i_bool(cOMBK_1847391868t_bool,B_1)))))) # label(fact_197_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 363 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f444731198le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f1484382710l_bool(hAPP_f1894818957l_bool(member1953881075le_alt,F),pi_fun481655732le_alt(A_1,hAPP_f1228246954t_bool(cOMBK_906927855t_bool,B_1)))))) # label(fact_198_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 364 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A_1,hAPP_f1459432374l_bool(cOMBK_1068969205t_bool,B_1)))))) # label(fact_199_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 365 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f2129568089l_bool(hAPP_f884817497l_bool(member442467260le_alt,F),pi_Arr914263595le_alt(A_1,hAPP_f102394819t_bool(cOMBK_78615028le_alt,B_1)))))) # label(fact_200_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 366 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A_1,hAPP_f590186314t_bool(cOMBK_776703103e_indi,B_1)))))) # label(fact_201_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 367 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P802532161le_alt(F,X_2)),B_1)))) -> hBOOL(hAPP_f2031902329l_bool(hAPP_f772908877l_bool(member1097202038le_alt,F),pi_Pro1742482359le_alt(A_1,hAPP_f1737373975t_bool(cOMBK_1925322610le_alt,B_1)))))) # label(fact_202_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 368 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_2)),B_1))))) -> hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A_1,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,B_1)))))) # label(fact_203_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 369 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A630236912t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f2140553640l_bool(hAPP_f1101355639l_bool(member1423816203t_bool,F),pi_Arr425730554t_bool(A_1,hAPP_f1973254019l_bool(cOMBK_1744976613le_alt,B_1)))))) # label(fact_204_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 370 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A_1,hAPP_f1932802664l_bool(cOMBK_1217667022e_indi,B_1)))))) # label(fact_205_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 371 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1689126160t_bool(F,X_2)),B_1)))) -> hBOOL(hAPP_f404365000l_bool(hAPP_f4855309l_bool(member30324165t_bool,F),pi_Pro54111110t_bool(A_1,hAPP_f978113205l_bool(cOMBK_1549622337le_alt,B_1)))))) # label(fact_206_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 372 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A_1,hAPP_f1768325679l_bool(cOMBK_391161927l_bool,B_1)))))) # label(fact_207_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 373 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f640821677l_bool(hAPP_f1475191373l_bool(member1194332074t_bool,F),pi_Arr1752452453t_bool(A_1,hAPP_f1954218281l_bool(cOMBK_549130676le_alt,B_1)))))) # label(fact_208_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 374 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P651748559t_bool(F,X_2)),B_1)))) -> hBOOL(hAPP_f1488127117l_bool(hAPP_f1070625729l_bool(member1770643824t_bool,F),pi_Pro1560469721t_bool(A_1,hAPP_f905851705l_bool(cOMBK_740566962le_alt,B_1)))))) # label(fact_209_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 375 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A_1,hAPP_f118515775l_bool(cOMBK_1028572856l_bool,B_1)))))) # label(fact_210_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 376 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A88621982t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f1134444118l_bool(hAPP_f850619859l_bool(member821152697t_bool,F),pi_Arr1120237736t_bool(A_1,hAPP_f1136405251l_bool(cOMBK_1435997879le_alt,B_1)))))) # label(fact_211_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 377 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A_1,hAPP_f206814660l_bool(cOMBK_472365180e_indi,B_1)))))) # label(fact_212_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 378 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P482525630t_bool(F,X_2)),B_1)))) -> hBOOL(hAPP_f2139503478l_bool(hAPP_f115737741l_bool(member1712829811t_bool,F),pi_Pro519450164t_bool(A_1,hAPP_f1197671953l_bool(cOMBK_165199855le_alt,B_1)))))) # label(fact_213_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 379 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A_1,hAPP_f1756719499l_bool(cOMBK_1377637877l_bool,B_1)))))) # label(fact_214_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 380 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,B_1)))))) # label(fact_215_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 381 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,B_1)))))) # label(fact_216_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 382 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_2)),B_1))))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,B_1)))))) # label(fact_217_funcsetI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 383 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_P870295781le_alt(F,X_2)),hAPP_P1116266031t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f784749731l_bool(hAPP_f731818989l_bool(member385159430le_alt,F),pi_Pro222743023le_alt(A_1,B_1))))) # label(fact_218_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 384 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_2)),hAPP_P957402556i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A_1,B_1))))) # label(fact_219_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 385 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_P1576037953le_alt(F,X_2)),hAPP_P1436281263t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f437011961l_bool(hAPP_f1325762381l_bool(member2074697974le_alt,F),pi_Pro368504503le_alt(A_1,B_1))))) # label(fact_220_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.81 386 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1287961430le_alt(F,X_2)),hAPP_f3167870t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f412569108l_bool(hAPP_f1136111951l_bool(member1464733303le_alt,F),pi_fun1083455072le_alt(A_1,B_1))))) # label(fact_221_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 387 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_2)),hAPP_f1570138413i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A_1,B_1))))) # label(fact_222_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 388 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f597551504le_alt(F,X_2)),hAPP_f1329247136t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f505027144l_bool(hAPP_f1140553229l_bool(member39203141le_alt,F),pi_fun1110020102le_alt(A_1,B_1))))) # label(fact_223_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 389 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_2)),hAPP_f591334822l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A_1,B_1))))) # label(fact_224_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 390 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f459545019le_alt(F,X_2)),hAPP_f1068593625t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1518247545l_bool(hAPP_f599048525l_bool(member2142449782le_alt,F),pi_fun1197906993le_alt(A_1,B_1))))) # label(fact_225_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 391 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_2)),hAPP_f431432850i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A_1,B_1))))) # label(fact_226_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 392 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f1643422699le_alt(F,X_2)),hAPP_f1681297285t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f270557859l_bool(hAPP_f635489773l_bool(member1687274886le_alt,F),pi_fun404660213le_alt(A_1,B_1))))) # label(fact_227_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 393 (all F all B_1 all A_1 ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_2)),hAPP_f812095627l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A_1,B_1))))) # label(fact_228_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 394 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hAPP_f1273877800le_alt(F,X_2)),hAPP_f1741989420t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1094272486l_bool(hAPP_f1880077555l_bool(member567993161le_alt,F),pi_fun158009906le_alt(A_1,B_1))))) # label(fact_229_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 395 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_2)),hAPP_f783549695i_bool(B_1,X_2)))))) -> hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A_1,B_1))))) # label(fact_230_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 396 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_f444731198le_alt(F,X_2)),hAPP_f1114489970t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1484382710l_bool(hAPP_f1894818957l_bool(member1953881075le_alt,F),pi_fun481655732le_alt(A_1,B_1))))) # label(fact_231_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 397 (all F all B_1 all A_1 ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_2)),hAPP_f721327224l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A_1,B_1))))) # label(fact_232_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 398 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(F,X_2)),hAPP_A1014090479t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2129568089l_bool(hAPP_f884817497l_bool(member442467260le_alt,F),pi_Arr914263595le_alt(A_1,B_1))))) # label(fact_233_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 399 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_2)),hAPP_A340536322t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A_1,B_1))))) # label(fact_234_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 400 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P802532161le_alt(F,X_2)),hAPP_P651748559t_bool(B_1,X_2))))) -> hBOOL(hAPP_f2031902329l_bool(hAPP_f772908877l_bool(member1097202038le_alt,F),pi_Pro1742482359le_alt(A_1,B_1))))) # label(fact_235_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 401 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_2)),hAPP_b763490121t_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A_1,B_1))))) # label(fact_236_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 402 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A630236912t_bool(F,X_2)),hAPP_A1745457982l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2140553640l_bool(hAPP_f1101355639l_bool(member1423816203t_bool,F),pi_Arr425730554t_bool(A_1,B_1))))) # label(fact_237_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 403 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_2)),hAPP_A701636433l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A_1,B_1))))) # label(fact_238_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 404 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1689126160t_bool(F,X_2)),hAPP_P2049543454l_bool(B_1,X_2))))) -> hBOOL(hAPP_f404365000l_bool(hAPP_f4855309l_bool(member30324165t_bool,F),pi_Pro54111110t_bool(A_1,B_1))))) # label(fact_239_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 405 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_2)),hAPP_b1461182872l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A_1,B_1))))) # label(fact_240_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 406 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(F,X_2)),hAPP_A433435097l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f640821677l_bool(hAPP_f1475191373l_bool(member1194332074t_bool,F),pi_Arr1752452453t_bool(A_1,B_1))))) # label(fact_241_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 407 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P651748559t_bool(F,X_2)),hAPP_P467353593l_bool(B_1,X_2))))) -> hBOOL(hAPP_f1488127117l_bool(hAPP_f1070625729l_bool(member1770643824t_bool,F),pi_Pro1560469721t_bool(A_1,B_1))))) # label(fact_242_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 408 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_2)),hAPP_b805997823l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A_1,B_1))))) # label(fact_243_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 409 (all F all B_1 all A_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A88621982t_bool(F,X_2)),hAPP_A990651116l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f1134444118l_bool(hAPP_f850619859l_bool(member821152697t_bool,F),pi_Arr1120237736t_bool(A_1,B_1))))) # label(fact_244_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 410 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_2)),hAPP_A955165183l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A_1,B_1))))) # label(fact_245_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 411 (all F all B_1 all A_1 ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P482525630t_bool(F,X_2)),hAPP_P1533476044l_bool(B_1,X_2))))) -> hBOOL(hAPP_f2139503478l_bool(hAPP_f115737741l_bool(member1712829811t_bool,F),pi_Pro519450164t_bool(A_1,B_1))))) # label(fact_246_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 412 (all F all B_1 all A_1 ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_2)),hAPP_b651754310l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A_1,B_1))))) # label(fact_247_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 413 (all F all B_1 all A_1 ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_2)),hAPP_P1122857141l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,B_1))))) # label(fact_248_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 414 (all F all B_1 all A_1 ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_2)),hAPP_f1895971544l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,B_1))))) # label(fact_249_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 415 (all F all B_1 all A_1 ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_2)),hAPP_A659996934l_bool(B_1,X_2)))))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,B_1))))) # label(fact_250_Pi__I_H) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 416 (all B_1 all G all F all A_1 ((all W (is_Pro1004667236le_alt(W) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,W),A_1)) -> (hBOOL(hAPP_P1813625415t_bool(F,W)) <-> hBOOL(hAPP_P1813625415t_bool(G,W)))))) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A_1,B_1))) <-> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,G),pi_Pro1873779901t_bool(A_1,B_1)))))) # label(fact_251_Pi__cong) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 417 (all B_1 all F all G all A_1 ((all W (is_fun1264457267t_bool(W) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,W),A_1)) -> hAPP_f1817389232t_bool(F,W) = hAPP_f1817389232t_bool(G,W)))) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A_1,B_1))) <-> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,G),pi_fun1555365306t_bool(A_1,B_1)))))) # label(fact_252_Pi__cong) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 418 (all B_1 all F all G all A_1 ((all W (is_Arr859726945e_indi(W) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,W),A_1)) -> hAPP_A340536322t_bool(F,W) = hAPP_A340536322t_bool(G,W)))) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A_1,B_1))) <-> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,G),pi_Arr1801471756t_bool(A_1,B_1)))))) # label(fact_253_Pi__cong) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 419 (all S_1 all R_2 ((all X_2 all Xa (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Xa)),R_2)) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Xa)),S_1)))) <-> R_2 = S_1)) # label(fact_254_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 420 (all S_1 all R_2 (is_fun20916972t_bool(S_1) & is_fun20916972t_bool(R_2) -> ((all X_2 all Xa (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Xa) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Xa)),R_2)) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Xa)),S_1))))) <-> R_2 = S_1))) # label(fact_255_pred__equals__eq2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 421 (all Y_3 -(all A all B Y_3 != hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A),B))) # label(fact_256_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 422 (all Y_3 (is_Pro1004667236le_alt(Y_3) -> -(all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> Y_3 != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B))))) # label(fact_257_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 423 (all P_2 -(all X_2 all Y_1 P_2 != hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_1))) # label(fact_258_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 424 (all P_2 (is_Pro1004667236le_alt(P_2) -> -(all X_2 all Y_1 (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Y_1) -> P_2 != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_1))))) # label(fact_259_PairE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 425 (all Pa ((exists X1 hBOOL(hAPP_P1373277879t_bool(Pa,X1))) <-> (exists A exists B hBOOL(hAPP_P1373277879t_bool(Pa,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A),B)))))) # label(fact_260_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 426 (all Pa ((exists X1 (is_Pro1004667236le_alt(X1) & hBOOL(hAPP_P1813625415t_bool(Pa,X1)))) <-> (exists A exists B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) & hBOOL(hAPP_P1813625415t_bool(Pa,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B))))))) # label(fact_261_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 427 (all X_20 insert1969589781le_alt(X_20,nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_20),nil_Ar1135217151le_alt)) # label(fact_262_insert__Nil) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 428 (all X_19 all Xs_37 (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs_37)) -> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(X_19,Xs_37))))) # label(fact_263_distinct__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 429 (all X_1 all A_1 (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),A_1)) <-> hBOOL(hAPP_A1120018583t_bool(A_1,X_1)))) # label(fact_264_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 430 (all X_1 all A_1 (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A_1)) <-> hBOOL(hAPP_A416869060i_bool(A_1,X_1)))) # label(fact_265_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 431 (all X_1 all A_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),A_1)) <-> hBOOL(hAPP_P1373277879t_bool(A_1,X_1)))) # label(fact_266_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 432 (all X_1 all A_1 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A_1)) <-> hBOOL(hAPP_bool_bool(A_1,X_1)))) # label(fact_267_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 433 (all X_1 all A_1 (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A_1)) <-> hBOOL(hAPP_P1813625415t_bool(A_1,X_1)))) # label(fact_268_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 434 (all X_1 all A_1 (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A_1)) <-> hBOOL(hAPP_f1378099862l_bool(A_1,X_1)))) # label(fact_269_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 435 (all X_1 all A_1 (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A_1)) <-> hBOOL(hAPP_f1733357041l_bool(A_1,X_1)))) # label(fact_270_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 436 (all X_1 all A_1 (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A_1)) <-> hBOOL(hAPP_f446648900l_bool(A_1,X_1)))) # label(fact_271_mem__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 437 (all Pa (is_fun1651000642t_bool(Pa) -> collec591097828le_alt(Pa) = Pa)) # label(fact_272_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 438 (all Pa (is_fun2015243113i_bool(Pa) -> collec279390863e_indi(Pa) = Pa)) # label(fact_273_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 439 (all Pa (is_fun1420103068l_bool(Pa) -> collec612883262t_bool(Pa) = Pa)) # label(fact_274_Collect__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 440 (all Pa all Xs (Xs != nil_Ar1135217151le_alt -> ((all X_2 (is_Arr723427730le_alt(X_2) -> hBOOL(hAPP_l300482276t_bool(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),nil_Ar1135217151le_alt))))) -> ((all X_2 all Xs_9 (is_Arr723427730le_alt(X_2) -> (Xs_9 != nil_Ar1135217151le_alt -> (hBOOL(hAPP_l300482276t_bool(Pa,Xs_9)) -> hBOOL(hAPP_l300482276t_bool(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Xs_9))))))) -> hBOOL(hAPP_l300482276t_bool(Pa,Xs)))))) # label(fact_275_list__nonempty__induct) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 441 (all X_2 all Xa all Xb (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(produc616221118t_bool(X_2),Xa),Xb)) <-> hBOOL(hAPP_P1813625415t_bool(X_2,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Xa),Xb))))) # label(fact_276_curry__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 442 (all F all Aa all Ba (hBOOL(hAPP_P1373277879t_bool(F,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba))) -> hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(produc930723380t_bool(F),Aa),Ba)))) # label(fact_277_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 443 (all F all Aa all Ba (hBOOL(hAPP_P1813625415t_bool(F,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))) -> hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(produc616221118t_bool(F),Aa),Ba)))) # label(fact_278_curryI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 444 (all Xs (hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,Xs)) <-> Xs = nil_Ar1135217151le_alt)) # label(fact_280_List_Onull__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 445 (all Xs (Xs = nil_Ar1135217151le_alt <-> hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,Xs)))) # label(fact_281_eq__Nil__null) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 446 (all X_18 all Xs_36 -hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_18),Xs_36)))) # label(fact_282_null__rec_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 447 (all F all Aa all Ba (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(produc930723380t_bool(F),Aa),Ba)) -> hBOOL(hAPP_P1373277879t_bool(F,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba))))) # label(fact_283_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 448 (all F all Aa all Ba (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(produc616221118t_bool(F),Aa),Ba)) -> hBOOL(hAPP_P1813625415t_bool(F,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))))) # label(fact_284_curryD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 449 (all F all Aa all Ba (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(produc930723380t_bool(F),Aa),Ba)) -> hBOOL(hAPP_P1373277879t_bool(F,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba))))) # label(fact_285_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 450 (all F all Aa all Ba (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(produc616221118t_bool(F),Aa),Ba)) -> hBOOL(hAPP_P1813625415t_bool(F,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))))) # label(fact_286_curryE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 451 (all F all Aa all Ba (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(produc616221118t_bool(F),Aa),Ba)) <-> hBOOL(hAPP_P1813625415t_bool(F,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))))) # label(fact_287_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 452 (all Xs (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(equal_732151074le_alt,Xs),nil_Ar1135217151le_alt)) <-> hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,Xs)))) # label(fact_288_equal__Nil__null) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 453 (all Aa all X_1 all Ba all Y_2 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Aa),X_1)),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Ba),Y_2))),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba)),R_1)) | Aa = Ba & hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,X_1),Y_2)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))))) # label(fact_290_lexord__cons__cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 454 (all Aa all X_1 all Ba all Y_2 all R_1 (is_Arr723427730le_alt(Aa) & is_Arr723427730le_alt(Ba) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Aa),X_1)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Ba),Y_2))),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),R_1)) | Aa = Ba & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1)))))) # label(fact_291_lexord__cons__cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 455 (all Xs_35 (Xs_35 != nil_Ar1135217151le_alt -> (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs_35)) -> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,butlas123970891le_alt(Xs_35)))))) # label(fact_292_distinct__butlast) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 456 (all X_17 all Xs_34 (is_Arr723427730le_alt(X_17) -> (Xs_34 = nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_17),Xs_34)) = X_17))) # label(fact_293_last__ConsL) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 457 (all X_16 all Xs_33 (Xs_33 != nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_16),Xs_33)) = last_A1066338328le_alt(Xs_33))) # label(fact_294_last__ConsR) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 458 (all X_1 hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X_1))) # label(fact_295_top1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 459 (all X_1 hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X_1))) # label(fact_296_top1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 460 (all X_1 hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X_1))) # label(fact_297_top1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 461 (all X_1 hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X_1))) # label(fact_298_top1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 462 (all X_1 hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X_1))) # label(fact_299_top1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 463 (all X_1 hBOOL(hAPP_A1120018583t_bool(top_to186242507t_bool,X_1))) # label(fact_300_top1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 464 (all X_1 all Y_2 (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(equal_732151074le_alt,X_1),Y_2)) <-> X_1 = Y_2)) # label(fact_301_equal__list__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 465 (all A_1 pi_Pro1873779901t_bool(A_1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool) # label(fact_302_Pi__UNIV) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 466 (all A_1 pi_fun1555365306t_bool(A_1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool) # label(fact_303_Pi__UNIV) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 467 (all A_1 pi_Arr1801471756t_bool(A_1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool) # label(fact_304_Pi__UNIV) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 468 (all X_1 all R_1 -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),nil_Ar1135217151le_alt)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1)))) # label(fact_306_lexord__Nil__right) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 469 (all X_15 all Xs_32 ((Xs_32 = nil_Ar1135217151le_alt -> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_15),Xs_32)) = nil_Ar1135217151le_alt) & (Xs_32 != nil_Ar1135217151le_alt -> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_15),Xs_32)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_15),butlas123970891le_alt(Xs_32))))) # label(fact_307_butlast_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 470 (all X_14 all Xs_31 (is_Arr723427730le_alt(X_14) -> (Xs_31 = nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_14),Xs_31)) = X_14) & (Xs_31 != nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_14),Xs_31)) = last_A1066338328le_alt(Xs_31)))) # label(fact_308_last_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 471 (all Y_2 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,nil_Ar1135217151le_alt),Y_2)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) <-> (exists A exists X_2 (is_Arr723427730le_alt(A) & Y_2 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,A),X_2))))) # label(fact_309_lexord__Nil__left) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 472 (all Xs all R_1 ((all X_2 -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),X_2)),R_1))) -> -hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Xs)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))))) # label(fact_310_lexord__irreflexive) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 473 (all Xs all R_1 ((all X_2 (is_Arr723427730le_alt(X_2) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),X_2)),R_1)))) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Xs)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))))) # label(fact_311_lexord__irreflexive) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 474 (all X_1 all Y_2 all R_1 ((all A all B (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A),B)),R_1)) | A = B | hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,B),A)),R_1)))) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,X_1),Y_2)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))) | X_1 = Y_2 | hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Y_2),X_1)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))))) # label(fact_312_lexord__linear) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 475 (all X_1 all Y_2 all R_1 ((all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B)),R_1)) | A = B | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,B),A)),R_1)))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) | X_1 = Y_2 | hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Y_2),X_1)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))))) # label(fact_313_lexord__linear) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 476 (all X_1 hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),top_to818291475t_bool))) # label(fact_314_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 477 (all X_1 hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),top_to1647826457l_bool))) # label(fact_315_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 478 (all X_1 hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),top_to207207712i_bool))) # label(fact_316_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 479 (all X_1 hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),top_to186242507t_bool))) # label(fact_317_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 480 (all X_1 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),top_to1773227171t_bool))) # label(fact_318_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 481 (all X_1 hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),top_to935749874l_bool))) # label(fact_319_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 482 (all X_1 hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),top_to846262053l_bool))) # label(fact_320_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 483 (all X_1 hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),top_to1849101472l_bool))) # label(fact_321_UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 484 (all X_1 hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),top_to818291475t_bool))) # label(fact_322_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 485 (all X_1 hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),top_to1647826457l_bool))) # label(fact_323_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 486 (all X_1 hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),top_to207207712i_bool))) # label(fact_324_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 487 (all X_1 hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),top_to186242507t_bool))) # label(fact_325_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 488 (all X_1 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),top_to1773227171t_bool))) # label(fact_326_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 489 (all X_1 hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),top_to935749874l_bool))) # label(fact_327_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 490 (all X_1 hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),top_to846262053l_bool))) # label(fact_328_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 491 (all X_1 hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),top_to1849101472l_bool))) # label(fact_329_iso__tuple__UNIV__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 492 (all X_1 (hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X_1)) <-> hBOOL(top_top_bool))) # label(fact_330_top__apply) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 493 (all X_1 (hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X_1)) <-> hBOOL(top_top_bool))) # label(fact_331_top__apply) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 494 (all X_1 (hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X_1)) <-> hBOOL(top_top_bool))) # label(fact_332_top__apply) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 495 (all X_1 (hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X_1)) <-> hBOOL(top_top_bool))) # label(fact_333_top__apply) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 496 (all X_1 (hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X_1)) <-> hBOOL(top_top_bool))) # label(fact_334_top__apply) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 497 (all X_1 (hBOOL(hAPP_A1120018583t_bool(top_to186242507t_bool,X_1)) <-> hBOOL(top_top_bool))) # label(fact_335_top__apply) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 498 (all Xs (Xs != nil_Ar1135217151le_alt -> (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)) -> takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),last_A1066338328le_alt(Xs))),Xs) = butlas123970891le_alt(Xs)))) # label(fact_336_takeWhile__not__last) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 499 (all Pa partit1336600824le_alt(Pa,nil_Ar1135217151le_alt) = hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,nil_Ar1135217151le_alt),nil_Ar1135217151le_alt)) # label(fact_337_partition_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 500 (all Pa takeWh1545314552le_alt(Pa,nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt) # label(fact_338_takeWhile_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 501 (all Pa all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)) -> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,takeWh1545314552le_alt(Pa,Xs))))) # label(fact_339_distinct__takeWhile) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 502 (all Xs all Pa all X_1 ((hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> takeWh1545314552le_alt(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),takeWh1545314552le_alt(Pa,Xs))) & (-hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> takeWh1545314552le_alt(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)) = nil_Ar1135217151le_alt))) # label(fact_340_takeWhile_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 503 (all A_1 ((all X_2 hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),A_1))) -> top_to818291475t_bool = A_1)) # label(fact_347_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 504 (all A_1 (is_fun_bool_bool(A_1) -> ((all X_2 (is_bool(X_2) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A_1)))) -> top_to1647826457l_bool = A_1))) # label(fact_348_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 505 (all A_1 (is_fun2015243113i_bool(A_1) -> ((all X_2 (is_Arr859726945e_indi(X_2) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A_1)))) -> top_to207207712i_bool = A_1))) # label(fact_349_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 506 (all A_1 (is_fun1651000642t_bool(A_1) -> ((all X_2 (is_Arr723427730le_alt(X_2) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),A_1)))) -> top_to186242507t_bool = A_1))) # label(fact_350_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 507 (all A_1 (is_fun20916972t_bool(A_1) -> ((all X_2 (is_Pro1004667236le_alt(X_2) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A_1)))) -> top_to1773227171t_bool = A_1))) # label(fact_351_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 508 (all A_1 (is_fun701126715l_bool(A_1) -> ((all X_2 (is_fun1264457267t_bool(X_2) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A_1)))) -> top_to935749874l_bool = A_1))) # label(fact_352_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 509 (all A_1 (is_fun1420103068l_bool(A_1) -> ((all X_2 (is_fun20916972t_bool(X_2) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A_1)))) -> top_to846262053l_bool = A_1))) # label(fact_353_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 510 (all A_1 (is_fun292781289l_bool(A_1) -> ((all X_2 (is_fun48324065t_bool(X_2) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A_1)))) -> top_to1849101472l_bool = A_1))) # label(fact_354_UNIV__eq__I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 511 (exists X_2 hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),top_to818291475t_bool))) # label(fact_355_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 512 (exists X_2 (is_bool(X_2) & hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),top_to1647826457l_bool)))) # label(fact_356_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 513 (exists X_2 (is_Arr859726945e_indi(X_2) & hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),top_to207207712i_bool)))) # label(fact_357_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 514 (exists X_2 (is_Arr723427730le_alt(X_2) & hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),top_to186242507t_bool)))) # label(fact_358_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 515 (exists X_2 (is_Pro1004667236le_alt(X_2) & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),top_to1773227171t_bool)))) # label(fact_359_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 516 (exists X_2 (is_fun1264457267t_bool(X_2) & hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),top_to935749874l_bool)))) # label(fact_360_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 517 (exists X_2 (is_fun20916972t_bool(X_2) & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),top_to846262053l_bool)))) # label(fact_361_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 518 (exists X_2 (is_fun48324065t_bool(X_2) & hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),top_to1849101472l_bool)))) # label(fact_362_UNIV__witness) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 519 (all Xs_30 (Xs_30 != nil_Ar1135217151le_alt -> hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,butlas123970891le_alt(Xs_30)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,last_A1066338328le_alt(Xs_30)),nil_Ar1135217151le_alt)) = Xs_30)) # label(fact_364_append__butlast__last__id) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 520 (all Xs all X_1 all Ys_1 (is_Arr723427730le_alt(X_1) -> (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt)) = Ys_1 <-> Ys_1 != nil_Ar1135217151le_alt & butlas123970891le_alt(Ys_1) = Xs & last_A1066338328le_alt(Ys_1) = X_1))) # label(fact_365_snoc__eq__iff__butlast) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 521 (all Xs all R_1 -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),nil_Ar1135217151le_alt)),hAPP_f1681297285t_bool(lex_Ar1264540259le_alt,R_1)))) # label(fact_366_Nil2__notin__lex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 522 (all Ys_1 all R_1 -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,nil_Ar1135217151le_alt),Ys_1)),hAPP_f1681297285t_bool(lex_Ar1264540259le_alt,R_1)))) # label(fact_367_Nil__notin__lex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 523 (all Ys_16 all Us_2 all Xs_29 all Xs1_1 all Zs_4 (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_29),Xs1_1) = Zs_4 -> (Ys_16 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs1_1),Us_2) -> hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_29),Ys_16) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Zs_4),Us_2)))) # label(fact_368_append__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 524 (all Ys_1 all Xs all Zs_1 (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_1),Xs) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Zs_1),Xs) <-> Ys_1 = Zs_1)) # label(fact_369_append__same__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 525 (all Xs all Ys_1 all Zs_1 (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Zs_1) <-> Ys_1 = Zs_1)) # label(fact_370_same__append__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 526 (all Xs all Ys_1 all Zs_1 all Ts (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Zs_1),Ts) <-> (exists Us (Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Zs_1),Us) & hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Us),Ys_1) = Ts | hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Us) = Zs_1 & Ys_1 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Us),Ts))))) # label(fact_371_append__eq__append__conv2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 527 (all Xs_28 all Ys_15 all Zs_3 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_28),Ys_15)),Zs_3) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_28),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_15),Zs_3))) # label(fact_372_append__assoc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 528 (all X_13 all Xs_27 all Ys_14 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_13),Xs_27)),Ys_14) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_13),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_27),Ys_14))) # label(fact_373_append__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 529 (all Xs_26 all Zs_2 all X_12 all Xs1 all Ys_13 (hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_12),Xs1) = Ys_13 -> (Xs_26 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs1),Zs_2) -> hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_12),Xs_26) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_13),Zs_2)))) # label(fact_374_Cons__eq__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 530 (all Ys_12 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),Ys_12) = Ys_12) # label(fact_375_append__Nil) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 531 (all Xs all Ys_1 (nil_Ar1135217151le_alt = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) <-> Xs = nil_Ar1135217151le_alt & Ys_1 = nil_Ar1135217151le_alt)) # label(fact_376_Nil__is__append__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 532 (all Xs_25 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_25),nil_Ar1135217151le_alt) = Xs_25) # label(fact_377_append__Nil2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 533 (all Xs all Ys_1 (Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) <-> Ys_1 = nil_Ar1135217151le_alt)) # label(fact_378_self__append__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 534 (all Ys_1 all Xs (Ys_1 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) <-> Xs = nil_Ar1135217151le_alt)) # label(fact_379_self__append__conv2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 535 (all Xs all Ys_1 (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) = nil_Ar1135217151le_alt <-> Xs = nil_Ar1135217151le_alt & Ys_1 = nil_Ar1135217151le_alt)) # label(fact_380_append__is__Nil__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 536 (all Xs all Ys_1 (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) = Xs <-> Ys_1 = nil_Ar1135217151le_alt)) # label(fact_381_append__self__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 537 (all Xs all Ys_1 (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1) = Ys_1 <-> Xs = nil_Ar1135217151le_alt)) # label(fact_382_append__self__conv2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 538 (all Xs_24 all Ys_11 (Xs_24 = Ys_11 -> Xs_24 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),Ys_11))) # label(fact_383_eq__Nil__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 539 (all Ys_1 all Zs_1 all X_1 all Xs (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_1),Zs_1) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs) <-> Ys_1 = nil_Ar1135217151le_alt & Zs_1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs) | (exists Ys_10 (Ys_1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Ys_10) & hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_10),Zs_1) = Xs)))) # label(fact_384_append__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 540 (all X_1 all Xs all Ys_1 all Zs_1 (hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_1),Zs_1) <-> Ys_1 = nil_Ar1135217151le_alt & hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs) = Zs_1 | (exists Ys_10 (hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Ys_10) = Ys_1 & Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_10),Zs_1))))) # label(fact_385_Cons__eq__append__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 541 (all Xs all X_1 all Ys_1 all Y_2 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),nil_Ar1135217151le_alt)) <-> Xs = Ys_1 & X_1 = Y_2))) # label(fact_386_append1__eq__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 542 (all Xs all L all Pa all X_1 (-hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> takeWh1545314552le_alt(Pa,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),L))) = takeWh1545314552le_alt(Pa,Xs))) # label(fact_387_takeWhile__tail) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 543 (all Xs_23 all Ys_9 ((Ys_9 = nil_Ar1135217151le_alt -> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_23),Ys_9)) = butlas123970891le_alt(Xs_23)) & (Ys_9 != nil_Ar1135217151le_alt -> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_23),Ys_9)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_23),butlas123970891le_alt(Ys_9))))) # label(fact_388_butlast__append) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 544 (all Xs_22 all Ys_8 ((Ys_8 = nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_22),Ys_8)) = last_A1066338328le_alt(Xs_22)) & (Ys_8 != nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_22),Ys_8)) = last_A1066338328le_alt(Ys_8)))) # label(fact_389_last__append) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 545 (all Xs_21 all Ys_7 (Ys_7 != nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_21),Ys_7)) = last_A1066338328le_alt(Ys_7))) # label(fact_390_last__appendR) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 546 (all Xs_20 all Ys_6 (Ys_6 = nil_Ar1135217151le_alt -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_20),Ys_6)) = last_A1066338328le_alt(Xs_20))) # label(fact_391_last__appendL) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 547 (all X_1 all U all V all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,U),V)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X_1),U)),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X_1),V))),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))))) # label(fact_392_lexord__append__leftI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 548 (all Xs_19 all X_11 butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_19),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_11),nil_Ar1135217151le_alt))) = Xs_19) # label(fact_393_butlast__snoc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 549 (all Xs_18 all X_10 (is_Arr723427730le_alt(X_10) -> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_18),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_10),nil_Ar1135217151le_alt))) = X_10)) # label(fact_394_last__snoc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 550 (all U all X_1 all Y_2 all Aa all Ba all R_1 (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),R_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,U),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Aa),X_1))),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,U),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Ba),Y_2)))),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))))) # label(fact_395_lexord__append__left__rightI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 551 (all U all X_1 all Y_2 all Aa all Ba all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba)),R_1)) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,U),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Aa),X_1))),hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,U),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Ba),Y_2)))),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))))) # label(fact_396_lexord__append__left__rightI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 552 (all X_1 all R_1 all Y_2 ((exists B exists Z Y_2 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,B),Z)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X_1),Y_2))),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))))) # label(fact_397_lexord__append__rightI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 553 (all X_1 all U all V all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,X_1),U)),hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,X_1),V))),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))) -> ((all A -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A),A)),R_1))) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,U),V)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1)))))) # label(fact_398_lexord__append__leftD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 554 (all X_1 all U all V all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X_1),U)),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X_1),V))),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) -> ((all A (is_Arr723427730le_alt(A) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),A)),R_1)))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,U),V)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1)))))) # label(fact_399_lexord__append__leftD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 555 (all Xs all Pa (hBOOL(hAPP_l300482276t_bool(Pa,nil_Ar1135217151le_alt)) -> ((all X_2 all Xs_9 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_l300482276t_bool(Pa,Xs_9)) -> hBOOL(hAPP_l300482276t_bool(Pa,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_9),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),nil_Ar1135217151le_alt))))))) -> hBOOL(hAPP_l300482276t_bool(Pa,Xs))))) # label(fact_400_rev__induct) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 556 (all Xs_17 (Xs_17 != nil_Ar1135217151le_alt -> -(all Ys all Y_1 (is_Arr723427730le_alt(Y_1) -> Xs_17 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),nil_Ar1135217151le_alt)))))) # label(fact_401_rev__cases) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 557 (all Xs all X_1 all Ys_1 all Y_2 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,Xs),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),nil_li7342420le_alt))),hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,Ys_1),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),nil_li7342420le_alt)))),hAPP_f664322981t_bool(listre868094907le_alt,R_1))) <-> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(listre868094907le_alt,R_1))) & X_1 = Y_2 | Xs = Ys_1 & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_1)))) # label(fact_402_snoc__listrel1__snoc__iff) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 558 (all Xs all X_1 all Ys_1 all Y_2 all R_1 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt))),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),nil_Ar1135217151le_alt)))),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) & X_1 = Y_2 | Xs = Ys_1 & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_1))))) # label(fact_403_snoc__listrel1__snoc__iff) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 559 (all Xs rotate184372300le_alt(Xs) = list_c1434691767le_alt(nil_Ar1135217151le_alt,hAPP_f904937452le_alt(hAPP_f239458941le_alt(cOMBB_521986850le_alt,hAPP_f268020663le_alt(cOMBC_168079159le_alt,append28105492le_alt)),hAPP_l1693669363le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt)),Xs)) # label(fact_404_rotate1__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 560 (all Xs (rotate184372300le_alt(Xs) = nil_Ar1135217151le_alt <-> Xs = nil_Ar1135217151le_alt)) # label(fact_405_rotate1__is__Nil__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 561 (all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(Xs))) <-> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)))) # label(fact_406_distinct1__rotate) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 562 (all X_1 all Xs all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Ys_1))),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))))) # label(fact_407_listrel1I2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 563 (all Xs all R_1 -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),nil_Ar1135217151le_alt)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1)))) # label(fact_408_not__listrel1__Nil) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 564 (all Xs all R_1 -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,nil_Ar1135217151le_alt),Xs)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1)))) # label(fact_409_not__Nil__listrel1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 565 (all Us_1 all Vs_1 all Xs all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) & Us_1 = Vs_1 | Xs = Ys_1 & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Us_1),Vs_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Us_1)),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys_1),Vs_1))),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))))) # label(fact_410_append__listrel1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 566 (all X_1 all Xs all Y_2 all Ys_1 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Xs)),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Ys_1))),hAPP_f664322981t_bool(listre868094907le_alt,R_1))) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_1)) & Xs = Ys_1 | X_1 = Y_2 & hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(listre868094907le_alt,R_1))))) # label(fact_411_Cons__listrel1__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 567 (all X_1 all Xs all Y_2 all Ys_1 all R_1 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1))),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_1)) & Xs = Ys_1 | X_1 = Y_2 & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1)))))) # label(fact_412_Cons__listrel1__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 568 (all Xs all X_1 all Y_2 all R_1 (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Xs))),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))))) # label(fact_413_listrel1I1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 569 (all Xs all X_1 all Y_2 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_1)) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Xs)),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Xs))),hAPP_f664322981t_bool(listre868094907le_alt,R_1))))) # label(fact_414_listrel1I1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 570 (all Ys_1 all Xs all Us_1 all Vs_1 all X_1 all Y_2 all R_1 (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_1)) -> (Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Us_1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Vs_1)) -> (Ys_1 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Us_1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Vs_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))))))) # label(fact_415_listrel1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 571 (all Ys_1 all Xs all Us_1 all Vs_1 all X_1 all Y_2 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_1)) -> (Xs = hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,Us_1),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Vs_1)) -> (Ys_1 = hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,Us_1),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Vs_1)) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(listre868094907le_alt,R_1))))))) # label(fact_416_listrel1I) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 572 (all Xs all Ys_1 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(listre868094907le_alt,R_1))) -> -(all X_2 all Y_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_1)),R_1)) -> (all Us all Vs (Xs = hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,Us),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_2),Vs)) -> Ys_1 != hAPP_l1425181461le_alt(hAPP_l1626273389le_alt(append1413540863le_alt,Us),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_1),Vs)))))))) # label(fact_417_listrel1E) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 573 (all Xs all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) -> -(all X_2 all Y_1 (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Y_1) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_1)),R_1)) -> (all Us all Vs (Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Us),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Vs)) -> Ys_1 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Us),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),Vs))))))))) # label(fact_418_listrel1E) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 574 (all X_1 all Xs all Ys_1 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Xs)),Ys_1)),hAPP_f664322981t_bool(listre868094907le_alt,R_1))) -> ((all Y_1 (Ys_1 = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_1),Xs) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_1)),R_1)))) -> -(all Zs (Ys_1 = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Zs) -> -hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Zs)),hAPP_f664322981t_bool(listre868094907le_alt,R_1)))))))) # label(fact_419_Cons__listrel1E1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 575 (all X_1 all Xs all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) -> ((all Y_1 (is_Arr723427730le_alt(Y_1) -> (Ys_1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),Xs) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_1)),R_1))))) -> -(all Zs (Ys_1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Zs) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Zs)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1)))))))) # label(fact_420_Cons__listrel1E1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 576 (all Xs all Y_2 all Ys_1 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Ys_1))),hAPP_f664322981t_bool(listre868094907le_alt,R_1))) -> ((all X_2 (Xs = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_2),Ys_1) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_2)),R_1)))) -> -(all Zs (Xs = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Zs) -> -hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Zs),Ys_1)),hAPP_f664322981t_bool(listre868094907le_alt,R_1)))))))) # label(fact_421_Cons__listrel1E2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 577 (all Xs all Y_2 all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1))),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) -> ((all X_2 (is_Arr723427730le_alt(X_2) -> (Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Ys_1) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),R_1))))) -> -(all Zs (Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Zs) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Zs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1)))))))) # label(fact_422_Cons__listrel1E2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 578 (all X_1 all Xs all Y_2 all Ys_1 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Xs)),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Ys_1))),hAPP_f664322981t_bool(lex_li910676976le_alt,R_1))) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_1)) & size_s101148091le_alt(Xs) = size_s101148091le_alt(Ys_1) | X_1 = Y_2 & hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(lex_li910676976le_alt,R_1))))) # label(fact_423_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.82 579 (all X_1 all Xs all Y_2 all Ys_1 all R_1 (is_Arr723427730le_alt(X_1) & is_Arr723427730le_alt(Y_2) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1))),hAPP_f1681297285t_bool(lex_Ar1264540259le_alt,R_1))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_1)) & size_s2106320494le_alt(Xs) = size_s2106320494le_alt(Ys_1) | X_1 = Y_2 & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(lex_Ar1264540259le_alt,R_1)))))) # label(fact_424_Cons__in__lex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 580 (all Pa all Xs all Y_2 all Ys_1 (dropWh1165804960le_alt(Pa,Xs) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1) <-> Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(Pa,Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1)) & -hBOOL(hAPP_A1120018583t_bool(Pa,Y_2)))) # label(fact_425_dropWhile__eq__Cons__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 581 (all Pa all X_1 all Xs partit1336600824le_alt(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)) = hAPP_P2096362161le_alt(produc1250814607le_alt(hAPP_f794134621le_alt(hAPP_f2122335314le_alt(cOMBS_1569784209le_alt,hAPP_f310101886le_alt(hAPP_f1558754397le_alt(cOMBB_1988247237le_alt,cOMBS_1626428525le_alt),hAPP_f1504748473le_alt(hAPP_f1949171529le_alt(cOMBB_215060470le_alt,hAPP_f1654251593le_alt(cOMBB_1675847172le_alt,if_Pro1659200999le_alt(hAPP_A1120018583t_bool(Pa,X_1)))),hAPP_f670565125le_alt(hAPP_f1124725731le_alt(cOMBB_1236261828le_alt,produc2031778509le_alt),hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1))))),hAPP_f670565125le_alt(hAPP_f351228915le_alt(cOMBC_72147604le_alt,hAPP_f593033837le_alt(hAPP_f332249751le_alt(cOMBB_96247696le_alt,cOMBB_1303549321le_alt),produc2031778509le_alt)),hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1)))),partit1336600824le_alt(Pa,Xs))) # label(fact_426_partition_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 582 (all Xs all Pa all X_1 ((hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> dropWh1165804960le_alt(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)) = dropWh1165804960le_alt(Pa,Xs)) & (-hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> dropWh1165804960le_alt(Pa,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)))) # label(fact_427_dropWhile_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 583 (all Pa dropWh1165804960le_alt(Pa,nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt) # label(fact_428_dropWhile_Osimps_I1_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 584 (all Pa all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)) -> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,dropWh1165804960le_alt(Pa,Xs))))) # label(fact_429_distinct__dropWhile) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 585 (all F (is_fun20916972t_bool(F) -> produc278404511t_bool(produc616221118t_bool(F)) = F)) # label(fact_430_split__curry) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 586 (all F (is_fun866579754t_bool(F) -> produc616221118t_bool(produc278404511t_bool(F)) = F)) # label(fact_431_curry__split) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 587 (all Xs all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1913026136le_alt,R_1))) -> size_s2106320494le_alt(Xs) = size_s2106320494le_alt(Ys_1))) # label(fact_432_listrel1__eq__len) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 588 (all Pa all Xs hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(Pa,Xs)),dropWh1165804960le_alt(Pa,Xs)) = Xs) # label(fact_433_takeWhile__dropWhile__id) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 589 (all X_1 all Y_2 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),hAPP_f1681297285t_bool(lex_Ar1264540259le_alt,R_1))) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) & size_s2106320494le_alt(X_1) = size_s2106320494le_alt(Y_2))) # label(fact_434_lexord__lex) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 590 (all Xs all Ys_1 all R_1 all N (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),lexn_A19384479le_alt(R_1,N))) -> size_s2106320494le_alt(Xs) = N & size_s2106320494le_alt(Ys_1) = N)) # label(fact_435_lexn__length) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 591 (all F all Aa all Ba (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(F,Aa),Ba)) -> hBOOL(hAPP_P1373277879t_bool(produc1802641557t_bool(F),hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba))))) # label(fact_436_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 592 (all F all Aa all Ba (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(F,Aa),Ba)) -> hBOOL(hAPP_P1813625415t_bool(produc278404511t_bool(F),hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))))) # label(fact_437_splitI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 593 (all F1 all Aa all Ba (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(F1,Aa),Ba)) -> hBOOL(hAPP_P1373277879t_bool(produc1802641557t_bool(F1),hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba))))) # label(fact_438_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 594 (all F1 all Aa all Ba (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(F1,Aa),Ba)) -> hBOOL(hAPP_P1813625415t_bool(produc278404511t_bool(F1),hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))))) # label(fact_439_prod__caseI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 595 (all F all Aa all Ba (hBOOL(hAPP_P1373277879t_bool(produc1802641557t_bool(F),hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Aa),Ba))) -> hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(F,Aa),Ba)))) # label(fact_440_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 596 (all F all Aa all Ba (hBOOL(hAPP_P1813625415t_bool(produc278404511t_bool(F),hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba))) -> hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(F,Aa),Ba)))) # label(fact_441_splitD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 597 (all Ca all P_1 ((all A all B (P_1 = hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A),B) -> hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(Ca,A),B)))) -> hBOOL(hAPP_P1373277879t_bool(produc1802641557t_bool(Ca),P_1)))) # label(fact_442_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 598 (all Ca all P_1 (is_Pro1004667236le_alt(P_1) -> ((all A all B (is_Arr723427730le_alt(A) & is_Arr723427730le_alt(B) -> (P_1 = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A),B) -> hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(Ca,A),B))))) -> hBOOL(hAPP_P1813625415t_bool(produc278404511t_bool(Ca),P_1))))) # label(fact_443_splitI2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 599 (all Ca all P_1 (hBOOL(hAPP_P1373277879t_bool(produc1802641557t_bool(Ca),P_1)) -> -(all X_2 all Y_1 (P_1 = hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_1) -> -hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(Ca,X_2),Y_1)))))) # label(fact_444_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 600 (all Ca all P_1 (is_Pro1004667236le_alt(P_1) -> (hBOOL(hAPP_P1813625415t_bool(produc278404511t_bool(Ca),P_1)) -> -(all X_2 all Y_1 (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Y_1) -> (P_1 = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_1) -> -hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(Ca,X_2),Y_1)))))))) # label(fact_445_splitE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 601 (all Ws (-hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Ws)) -> (exists Xs_9 exists Ys exists Zs exists Y_1 (is_Arr723427730le_alt(Y_1) & Ws = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_9),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),nil_Ar1135217151le_alt)),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),nil_Ar1135217151le_alt)),Zs)))))))) # label(fact_446_not__distinct__decomp) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 602 (all Xs all Ys_1 all X_1 all Y_2 all R_1 (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Y_2)),R_1)) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1))),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1)))))) # label(fact_447_listrel_OCons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 603 (all Xs all Ys_1 all X_1 all Y_2 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_1),Y_2)),R_1)) -> (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(listre870705708le_alt,R_1))) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_1),Xs)),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Ys_1))),hAPP_f664322981t_bool(listre870705708le_alt,R_1)))))) # label(fact_448_listrel_OCons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 604 (all Xs all Ys_1 tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1)) = list_c1434691767le_alt(tl_Arr314474198le_alt(Ys_1),hAPP_f921948995le_alt(cOMBK_1825575856le_alt,hAPP_l1390889510le_alt(hAPP_f268020663le_alt(cOMBC_168079159le_alt,append28105492le_alt),Ys_1)),Xs)) # label(fact_449_tl__append) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 605 (all Xs all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),nil_Ar1135217151le_alt)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) -> Xs = nil_Ar1135217151le_alt)) # label(fact_450_listrel__Nil2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 606 (all Xs all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,nil_Ar1135217151le_alt),Xs)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) -> Xs = nil_Ar1135217151le_alt)) # label(fact_451_listrel__Nil1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 607 (all X_9 all Xs_16 tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_9),Xs_16)) = Xs_16) # label(fact_452_tl_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 608 (all Xs_15 (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs_15)) -> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,tl_Arr314474198le_alt(Xs_15))))) # label(fact_454_distinct__tl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 609 (all R_1 hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,nil_Ar1135217151le_alt),nil_Ar1135217151le_alt)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1)))) # label(fact_455_listrel_ONil) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 610 (all Xs all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) -> size_s2106320494le_alt(Xs) = size_s2106320494le_alt(Ys_1))) # label(fact_456_listrel__eq__len) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 611 (all Ys_5 all Xs_14 (Xs_14 != nil_Ar1135217151le_alt -> tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_14),Ys_5)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(Xs_14)),Ys_5))) # label(fact_457_tl__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 612 (all Xs all Y_2 all Ys_1 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Ys_1))),hAPP_f664322981t_bool(listre870705708le_alt,R_1))) -> -(all X_2 all Xs_9 (Xs = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_2),Xs_9) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_2)),R_1)) -> -hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs_9),Ys_1)),hAPP_f664322981t_bool(listre870705708le_alt,R_1)))))))) # label(fact_458_listrel__Cons2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 613 (all Xs all Y_2 all Ys_1 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1))),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) -> -(all X_2 all Xs_9 (is_Arr723427730le_alt(X_2) -> (Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Xs_9) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),R_1)) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs_9),Ys_1)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))))))))) # label(fact_459_listrel__Cons2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 614 (all Y_2 all Ys_1 all Xs all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_2),Ys_1)),Xs)),hAPP_f664322981t_bool(listre870705708le_alt,R_1))) -> -(all Y_1 all Ys (Xs = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_1),Ys) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Y_2),Y_1)),R_1)) -> -hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Ys_1),Ys)),hAPP_f664322981t_bool(listre870705708le_alt,R_1)))))))) # label(fact_460_listrel__Cons1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 615 (all Y_2 all Ys_1 all Xs all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1)),Xs)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) -> -(all Y_1 all Ys (is_Arr723427730le_alt(Y_1) -> (Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),Ys) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Y_2),Y_1)),R_1)) -> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Ys_1),Ys)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))))))))) # label(fact_461_listrel__Cons1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 616 (all R_1 all X_2 all Xa (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(listre1062185049le_alt(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(hAPP_f1682340965t_bool(cOMBB_333235735le_alt,cOMBC_943734388l_bool),hAPP_f1747206697l_bool(hAPP_f274832101l_bool(cOMBB_885534287le_alt,hAPP_f1585690341l_bool(cOMBB_711698847le_alt,member720722004le_alt)),produc1456060119le_alt))),R_1)),X_2),Xa)) <-> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Xa)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))))) # label(fact_462_listrelp__listrel__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 617 (all R_1 all X_2 all Xa (hBOOL(hAPP_l784127213t_bool(hAPP_l508185643t_bool(listre1064220282le_alt(hAPP_f1895633847t_bool(hAPP_f1997384703t_bool(cOMBC_1696964078t_bool,hAPP_f1837837439t_bool(hAPP_f1503353479t_bool(cOMBB_1326560562le_alt,cOMBC_1827582133l_bool),hAPP_f1893731349l_bool(hAPP_f1418100887l_bool(cOMBB_1150645560le_alt,hAPP_f1224738111l_bool(cOMBB_1407335828le_alt,member1373125444le_alt)),produc2031778509le_alt))),R_1)),X_2),Xa)) <-> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,X_2),Xa)),hAPP_f664322981t_bool(listre870705708le_alt,R_1))))) # label(fact_463_listrelp__listrel__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 618 (all Xs_13 (Xs_13 != nil_Ar1135217151le_alt -> rotate184372300le_alt(Xs_13) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(Xs_13)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,hd_Arr1814706386le_alt(Xs_13)),nil_Ar1135217151le_alt)))) # label(fact_464_rotate1__hd__tl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 619 (all A1 all A2 all R_1 (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,A1),A2)),hAPP_f664322981t_bool(listre870705708le_alt,R_1))) <-> A1 = nil_li7342420le_alt & A2 = nil_li7342420le_alt | (exists X_2 exists Y_1 exists Xs_9 exists Ys (A1 = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,X_2),Xs_9) & A2 = hAPP_l1425181461le_alt(hAPP_l1663319606le_alt(cons_l882637220le_alt,Y_1),Ys) & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_1)),R_1)) & hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs_9),Ys)),hAPP_f664322981t_bool(listre870705708le_alt,R_1))))))) # label(fact_465_listrel_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 620 (all A1 all A2 all R_1 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,A1),A2)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))) <-> A1 = nil_Ar1135217151le_alt & A2 = nil_Ar1135217151le_alt | (exists X_2 exists Y_1 exists Xs_9 exists Ys (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Y_1) & A1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Xs_9) & A2 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),Ys) & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_1)),R_1)) & hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs_9),Ys)),hAPP_f1681297285t_bool(listre1769678631le_alt,R_1))))))) # label(fact_466_listrel_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 621 (all X_8 all Xs_12 (is_Arr723427730le_alt(X_8) -> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_8),Xs_12)) = X_8)) # label(fact_467_hd_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 622 (all Xs all Ys_1 all R_1 all X_1 all Y_2 (hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(R_1,X_1),Y_2)) -> (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(listre1062185049le_alt(R_1),Xs),Ys_1)) -> hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(listre1062185049le_alt(R_1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1)))))) # label(fact_468_listrelp_OCons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 623 (all R_1 hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(listre1062185049le_alt(R_1),nil_Ar1135217151le_alt),nil_Ar1135217151le_alt))) # label(fact_469_listrelp_ONil) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 624 (all Ys_4 all Xs_11 ((Xs_11 = nil_Ar1135217151le_alt -> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_11),Ys_4)) = hd_Arr1814706386le_alt(Ys_4)) & (Xs_11 != nil_Ar1135217151le_alt -> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_11),Ys_4)) = hd_Arr1814706386le_alt(Xs_11)))) # label(fact_470_hd__append) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 625 (all Ys_3 all Xs_10 (Xs_10 != nil_Ar1135217151le_alt -> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_10),Ys_3)) = hd_Arr1814706386le_alt(Xs_10))) # label(fact_471_hd__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 626 (all Pa all Xs (dropWh1165804960le_alt(Pa,Xs) != nil_Ar1135217151le_alt -> -hBOOL(hAPP_A1120018583t_bool(Pa,hd_Arr1814706386le_alt(dropWh1165804960le_alt(Pa,Xs)))))) # label(fact_472_hd__dropWhile) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 627 (all R_1 all A1 all A2 (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(listre1062185049le_alt(R_1),A1),A2)) <-> A1 = nil_Ar1135217151le_alt & A2 = nil_Ar1135217151le_alt | (exists X_2 exists Y_1 exists Xs_9 exists Ys (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Y_1) & A1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Xs_9) & A2 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_1),Ys) & hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(R_1,X_2),Y_1)) & hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(listre1062185049le_alt(R_1),Xs_9),Ys)))))) # label(fact_473_listrelp_Osimps) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 628 (all X_7 hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(equal_732151074le_alt,X_7),X_7))) # label(fact_475_equal__refl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 629 (all X_1 all Y_2 (hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(equal_732151074le_alt,X_1),Y_2)) <-> X_1 = Y_2)) # label(fact_476_equal__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 630 (all Xs_8 (Xs_8 != nil_Ar1135217151le_alt -> last_A1066338328le_alt(rev_Ar955429983le_alt(Xs_8)) = hd_Arr1814706386le_alt(Xs_8))) # label(fact_478_last__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 631 (all Xs_7 (Xs_7 != nil_Ar1135217151le_alt -> hd_Arr1814706386le_alt(rev_Ar955429983le_alt(Xs_7)) = last_A1066338328le_alt(Xs_7))) # label(fact_479_hd__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 632 (all I_3 all X_6 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,replic1360561849le_alt(I_3,X_6)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_6),nil_Ar1135217151le_alt)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_6),replic1360561849le_alt(I_3,X_6))) # label(fact_480_replicate__append__same) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 633 (all Pa all Xs dropWh1165804960le_alt(Pa,Xs) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(Pa,Xs))),Xs)) # label(fact_481_dropWhile__eq__drop) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 634 (all N_6 all Xs_6 butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N_6),Xs_6)) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N_6),butlas123970891le_alt(Xs_6))) # label(fact_482_butlast__drop) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 635 (all N_5 all Xs_5 hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N_5),butlas123970891le_alt(Xs_5)) = butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N_5),Xs_5))) # label(fact_483_drop__butlast) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 636 (all N_4 hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N_4),nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt) # label(fact_484_drop__Nil) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 637 (all I_2 all Xs_4 (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs_4)) -> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,I_2),Xs_4))))) # label(fact_485_distinct__drop) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 638 (all Xs_3 all Ys_2 rev_Ar955429983le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs_3),Ys_2)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,rev_Ar955429983le_alt(Ys_2)),rev_Ar955429983le_alt(Xs_3))) # label(fact_486_rev__append) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 639 (all Xs (rev_Ar955429983le_alt(Xs) = nil_Ar1135217151le_alt <-> Xs = nil_Ar1135217151le_alt)) # label(fact_487_rev__is__Nil__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 640 (all Xs (nil_Ar1135217151le_alt = rev_Ar955429983le_alt(Xs) <-> Xs = nil_Ar1135217151le_alt)) # label(fact_488_Nil__is__rev__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 641 (all N_3 all X_5 all K_1 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,replic1360561849le_alt(N_3,X_5)),replic1360561849le_alt(K_1,X_5)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,replic1360561849le_alt(K_1,X_5)),replic1360561849le_alt(N_3,X_5))) # label(fact_490_append__replicate__commute) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 642 (all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rev_Ar955429983le_alt(Xs))) <-> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)))) # label(fact_491_distinct__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 643 (all Xs all X_1 (rev_Ar955429983le_alt(Xs) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt) <-> Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt))) # label(fact_492_rev__singleton__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 644 (all X_1 all Xs (hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt) = rev_Ar955429983le_alt(Xs) <-> Xs = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),nil_Ar1135217151le_alt))) # label(fact_493_singleton__rev__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 645 (all N_2 all X_4 all Xs_2 hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,replic1360561849le_alt(N_2,X_4)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_4),Xs_2)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_4),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,replic1360561849le_alt(N_2,X_4)),Xs_2))) # label(fact_494_replicate__app__Cons__same) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 646 (all X_3 all Xs_1 rev_Ar955429983le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_3),Xs_1)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,rev_Ar955429983le_alt(Xs_1)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_3),nil_Ar1135217151le_alt))) # label(fact_495_rev_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 647 (all Xs all Y_2 all Ys_1 (rev_Ar955429983le_alt(Xs) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),Ys_1) <-> Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,rev_Ar955429983le_alt(Ys_1)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,Y_2),nil_Ar1135217151le_alt)))) # label(fact_496_rev__eq__Cons__iff) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 648 (all X_1 all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X_1)),rev_Ar955429983le_alt(Xs)) = rev_Ar955429983le_alt(tl_Arr314474198le_alt(dropWh1165804960le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X_1)),Xs)))))) # label(fact_497_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 649 (all X_1 all Xs (hBOOL(hAPP_l1642116416t_bool(distin1906002420le_alt,Xs)) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> takeWh768831342le_alt(hAPP_f2073680917t_bool(hAPP_f2036795507t_bool(cOMBB_1957338939le_alt,fNot),hAPP_P1133336895t_bool(hAPP_f1542885353t_bool(cOMBC_1094121654t_bool,fequal1025934616le_alt),X_1)),rev_Pr816629831le_alt(Xs)) = rev_Pr816629831le_alt(tl_Pro645285392le_alt(dropWh1957015750le_alt(hAPP_f2073680917t_bool(hAPP_f2036795507t_bool(cOMBB_1957338939le_alt,fNot),hAPP_P1133336895t_bool(hAPP_f1542885353t_bool(cOMBC_1094121654t_bool,fequal1025934616le_alt),X_1)),Xs)))))) # label(fact_498_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 650 (all X_1 all Xs (hBOOL(hAPP_l479254477i_bool(distin26300929e_indi,Xs)) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> takeWh1088896635e_indi(hAPP_f1282033109i_bool(hAPP_f1765349427i_bool(cOMBB_1957128648e_indi,fNot),hAPP_A1609075839i_bool(hAPP_f791932009i_bool(cOMBC_553632464i_bool,fequal2012472101e_indi),X_1)),rev_Ar758908116e_indi(Xs)) = rev_Ar758908116e_indi(tl_Arr282712093e_indi(dropWh1417102291e_indi(hAPP_f1282033109i_bool(hAPP_f1765349427i_bool(cOMBB_1957128648e_indi,fNot),hAPP_A1609075839i_bool(hAPP_f791932009i_bool(cOMBC_553632464i_bool,fequal2012472101e_indi),X_1)),Xs)))))) # label(fact_499_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 651 (all X_1 all Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,Xs)) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> takeWhile_bool(hAPP_f961197973l_bool(hAPP_f1172769267l_bool(cOMBB_bool_bool_bool,fNot),hAPP_b589554111l_bool(hAPP_f1897201897l_bool(cOMBC_bool_bool_bool,fequal_bool),X_1)),rev_bool(Xs)) = rev_bool(tl_bool(dropWhile_bool(hAPP_f961197973l_bool(hAPP_f1172769267l_bool(cOMBB_bool_bool_bool,fNot),hAPP_b589554111l_bool(hAPP_f1897201897l_bool(cOMBC_bool_bool_bool,fequal_bool),X_1)),Xs)))))) # label(fact_500_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 652 (all X_1 all Xs (hBOOL(hAPP_l1936415565l_bool(distin943033217t_bool,Xs)) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> takeWh1268567035t_bool(hAPP_f1028172757l_bool(hAPP_f920654899l_bool(cOMBB_410960200t_bool,fNot),hAPP_f656614015l_bool(hAPP_f1031027817l_bool(cOMBC_921123792l_bool,fequal547890341t_bool),X_1)),rev_fu580432980t_bool(Xs)) = rev_fu580432980t_bool(tl_fun1512606109t_bool(dropWh1122107731t_bool(hAPP_f1028172757l_bool(hAPP_f920654899l_bool(cOMBB_410960200t_bool,fNot),hAPP_f656614015l_bool(hAPP_f1031027817l_bool(cOMBC_921123792l_bool,fequal547890341t_bool),X_1)),Xs)))))) # label(fact_501_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 653 (all X_1 all Xs (hBOOL(hAPP_l1684828478l_bool(distin751056204t_bool,Xs)) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> takeWh572506194t_bool(hAPP_f574392641l_bool(hAPP_f2007076633l_bool(cOMBB_1517321413t_bool,fNot),hAPP_f1344932147l_bool(hAPP_f574303429l_bool(cOMBC_906425754l_bool,fequal318101288t_bool),X_1)),rev_fu101184185t_bool(Xs)) = rev_fu101184185t_bool(tl_fun1131179056t_bool(dropWh193383674t_bool(hAPP_f574392641l_bool(hAPP_f2007076633l_bool(cOMBB_1517321413t_bool,fNot),hAPP_f1344932147l_bool(hAPP_f574303429l_bool(cOMBC_906425754l_bool,fequal318101288t_bool),X_1)),Xs)))))) # label(fact_502_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 654 (all X_1 all Xs (hBOOL(hAPP_l4338847l_bool(distin526492627t_bool,Xs)) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> takeWh1813199437t_bool(hAPP_f189058133l_bool(hAPP_f2048491699l_bool(cOMBB_1376111258t_bool,fNot),hAPP_f1901083135l_bool(hAPP_f576161641l_bool(cOMBC_1887456628l_bool,fequal1289369847t_bool),X_1)),rev_fu313987494t_bool(Xs)) = rev_fu313987494t_bool(tl_fun542205423t_bool(dropWh2056378277t_bool(hAPP_f189058133l_bool(hAPP_f2048491699l_bool(cOMBB_1376111258t_bool,fNot),hAPP_f1901083135l_bool(hAPP_f576161641l_bool(cOMBC_1887456628l_bool,fequal1289369847t_bool),X_1)),Xs)))))) # label(fact_503_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 655 (all X_1 all Xs (hBOOL(hAPP_l548550096t_bool(distin135982852le_alt,Xs)) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> takeWh808795006le_alt(hAPP_f137597973t_bool(hAPP_f2063770867t_bool(cOMBB_1860605643le_alt,fNot),hAPP_P1999019327t_bool(hAPP_f1381403369t_bool(cOMBC_518322134t_bool,fequal1881358376le_alt),X_1)),rev_Pr1722970583le_alt(Xs)) = rev_Pr1722970583le_alt(tl_Pro1439282464le_alt(dropWh1186971862le_alt(hAPP_f137597973t_bool(hAPP_f2063770867t_bool(cOMBB_1860605643le_alt,fNot),hAPP_P1999019327t_bool(hAPP_f1381403369t_bool(cOMBC_518322134t_bool,fequal1881358376le_alt),X_1)),Xs)))))) # label(fact_504_takeWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 656 (all X_1 all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> dropWh1165804960le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X_1)),rev_Ar955429983le_alt(Xs)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),rev_Ar955429983le_alt(takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X_1)),Xs)))))) # label(fact_505_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 657 (all X_1 all Xs (hBOOL(hAPP_l1642116416t_bool(distin1906002420le_alt,Xs)) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> dropWh1957015750le_alt(hAPP_f2073680917t_bool(hAPP_f2036795507t_bool(cOMBB_1957338939le_alt,fNot),hAPP_P1133336895t_bool(hAPP_f1542885353t_bool(cOMBC_1094121654t_bool,fequal1025934616le_alt),X_1)),rev_Pr816629831le_alt(Xs)) = hAPP_l182884309le_alt(hAPP_P469465955le_alt(cons_P1245424375le_alt,X_1),rev_Pr816629831le_alt(takeWh768831342le_alt(hAPP_f2073680917t_bool(hAPP_f2036795507t_bool(cOMBB_1957338939le_alt,fNot),hAPP_P1133336895t_bool(hAPP_f1542885353t_bool(cOMBC_1094121654t_bool,fequal1025934616le_alt),X_1)),Xs)))))) # label(fact_506_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 658 (all X_1 all Xs (hBOOL(hAPP_l479254477i_bool(distin26300929e_indi,Xs)) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> dropWh1417102291e_indi(hAPP_f1282033109i_bool(hAPP_f1765349427i_bool(cOMBB_1957128648e_indi,fNot),hAPP_A1609075839i_bool(hAPP_f791932009i_bool(cOMBC_553632464i_bool,fequal2012472101e_indi),X_1)),rev_Ar758908116e_indi(Xs)) = hAPP_l1557274901e_indi(hAPP_A273991894e_indi(cons_A920022916e_indi,X_1),rev_Ar758908116e_indi(takeWh1088896635e_indi(hAPP_f1282033109i_bool(hAPP_f1765349427i_bool(cOMBB_1957128648e_indi,fNot),hAPP_A1609075839i_bool(hAPP_f791932009i_bool(cOMBC_553632464i_bool,fequal2012472101e_indi),X_1)),Xs)))))) # label(fact_507_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 659 (all X_1 all Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,Xs)) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> dropWhile_bool(hAPP_f961197973l_bool(hAPP_f1172769267l_bool(cOMBB_bool_bool_bool,fNot),hAPP_b589554111l_bool(hAPP_f1897201897l_bool(cOMBC_bool_bool_bool,fequal_bool),X_1)),rev_bool(Xs)) = hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),rev_bool(takeWhile_bool(hAPP_f961197973l_bool(hAPP_f1172769267l_bool(cOMBB_bool_bool_bool,fNot),hAPP_b589554111l_bool(hAPP_f1897201897l_bool(cOMBC_bool_bool_bool,fequal_bool),X_1)),Xs)))))) # label(fact_508_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 660 (all X_1 all Xs (hBOOL(hAPP_l1936415565l_bool(distin943033217t_bool,Xs)) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> dropWh1122107731t_bool(hAPP_f1028172757l_bool(hAPP_f920654899l_bool(cOMBB_410960200t_bool,fNot),hAPP_f656614015l_bool(hAPP_f1031027817l_bool(cOMBC_921123792l_bool,fequal547890341t_bool),X_1)),rev_fu580432980t_bool(Xs)) = hAPP_l1149974805t_bool(hAPP_f597269334t_bool(cons_f1113423620t_bool,X_1),rev_fu580432980t_bool(takeWh1268567035t_bool(hAPP_f1028172757l_bool(hAPP_f920654899l_bool(cOMBB_410960200t_bool,fNot),hAPP_f656614015l_bool(hAPP_f1031027817l_bool(cOMBC_921123792l_bool,fequal547890341t_bool),X_1)),Xs)))))) # label(fact_509_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 661 (all X_1 all Xs (hBOOL(hAPP_l1684828478l_bool(distin751056204t_bool,Xs)) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> dropWh193383674t_bool(hAPP_f574392641l_bool(hAPP_f2007076633l_bool(cOMBB_1517321413t_bool,fNot),hAPP_f1344932147l_bool(hAPP_f574303429l_bool(cOMBC_906425754l_bool,fequal318101288t_bool),X_1)),rev_fu101184185t_bool(Xs)) = hAPP_l342779967t_bool(hAPP_f1916337549t_bool(cons_f476294153t_bool,X_1),rev_fu101184185t_bool(takeWh572506194t_bool(hAPP_f574392641l_bool(hAPP_f2007076633l_bool(cOMBB_1517321413t_bool,fNot),hAPP_f1344932147l_bool(hAPP_f574303429l_bool(cOMBC_906425754l_bool,fequal318101288t_bool),X_1)),Xs)))))) # label(fact_510_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 662 (all X_1 all Xs (hBOOL(hAPP_l4338847l_bool(distin526492627t_bool,Xs)) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> dropWh2056378277t_bool(hAPP_f189058133l_bool(hAPP_f2048491699l_bool(cOMBB_1376111258t_bool,fNot),hAPP_f1901083135l_bool(hAPP_f576161641l_bool(cOMBC_1887456628l_bool,fequal1289369847t_bool),X_1)),rev_fu313987494t_bool(Xs)) = hAPP_l1130749077t_bool(hAPP_f1337535236t_bool(cons_f160345174t_bool,X_1),rev_fu313987494t_bool(takeWh1813199437t_bool(hAPP_f189058133l_bool(hAPP_f2048491699l_bool(cOMBB_1376111258t_bool,fNot),hAPP_f1901083135l_bool(hAPP_f576161641l_bool(cOMBC_1887456628l_bool,fequal1289369847t_bool),X_1)),Xs)))))) # label(fact_511_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 663 (all X_1 all Xs (hBOOL(hAPP_l548550096t_bool(distin135982852le_alt,Xs)) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> dropWh1186971862le_alt(hAPP_f137597973t_bool(hAPP_f2063770867t_bool(cOMBB_1860605643le_alt,fNot),hAPP_P1999019327t_bool(hAPP_f1381403369t_bool(cOMBC_518322134t_bool,fequal1881358376le_alt),X_1)),rev_Pr1722970583le_alt(Xs)) = hAPP_l850073941le_alt(hAPP_P465197523le_alt(cons_P272751751le_alt,X_1),rev_Pr1722970583le_alt(takeWh808795006le_alt(hAPP_f137597973t_bool(hAPP_f2063770867t_bool(cOMBB_1860605643le_alt,fNot),hAPP_P1999019327t_bool(hAPP_f1381403369t_bool(cOMBC_518322134t_bool,fequal1881358376le_alt),X_1)),Xs)))))) # label(fact_512_dropWhile__neq__rev) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 664 (all N all X_1 all Xs hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)) = nat_ca247420624le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs),hAPP_l1244209582le_alt(hAPP_f1660378693le_alt(cOMBC_1158490499le_alt,drop_A1195732799le_alt),Xs),N)) # label(fact_513_drop__Cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 665 (all Xs rev_Ar955429983le_alt(Xs) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,Xs)) # label(fact_514_rev__foldl__cons) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 666 (all X_1 all N all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,N),Xs)))) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))))) # label(fact_515_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 667 (all X_1 all N all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(hAPP_l182884309le_alt(hAPP_n323901960le_alt(drop_P635442535le_alt,N),Xs)))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))))) # label(fact_516_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 668 (all X_1 all N all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(hAPP_l1557274901e_indi(hAPP_n568645704e_indi(drop_A1853358580e_indi,N),Xs)))) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))))) # label(fact_517_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 669 (all X_1 all N all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N),Xs)))) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))))) # label(fact_518_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 670 (all X_1 all N all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(hAPP_l1149974805t_bool(hAPP_n587545160t_bool(drop_f1274868084t_bool,N),Xs)))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))))) # label(fact_519_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 671 (all X_1 all N all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(hAPP_l342779967t_bool(hAPP_n2058955628t_bool(drop_f1849462169t_bool,N),Xs)))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))))) # label(fact_520_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 672 (all X_1 all N all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(hAPP_l1130749077t_bool(hAPP_n2099236808t_bool(drop_f1584869062t_bool,N),Xs)))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))))) # label(fact_521_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 673 (all X_1 all N all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(hAPP_l850073941le_alt(hAPP_n2100915976le_alt(drop_P1440509687le_alt,N),Xs)))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))))) # label(fact_522_in__set__dropD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 674 (all X_1 all Pa all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(takeWh1545314552le_alt(Pa,Xs)))) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) & hBOOL(hAPP_A1120018583t_bool(Pa,X_1)))) # label(fact_523_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 675 (all X_1 all Pa all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(takeWh768831342le_alt(Pa,Xs)))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) & hBOOL(hAPP_P1373277879t_bool(Pa,X_1)))) # label(fact_524_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 676 (all X_1 all Pa all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(takeWh1088896635e_indi(Pa,Xs)))) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) & hBOOL(hAPP_A416869060i_bool(Pa,X_1)))) # label(fact_525_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 677 (all X_1 all Pa all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(takeWhile_bool(Pa,Xs)))) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) & hBOOL(hAPP_bool_bool(Pa,X_1)))) # label(fact_526_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 678 (all X_1 all Pa all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(takeWh1268567035t_bool(Pa,Xs)))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) & hBOOL(hAPP_f446648900l_bool(Pa,X_1)))) # label(fact_527_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 679 (all X_1 all Pa all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(takeWh572506194t_bool(Pa,Xs)))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) & hBOOL(hAPP_f1733357041l_bool(Pa,X_1)))) # label(fact_528_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 680 (all X_1 all Pa all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(takeWh1813199437t_bool(Pa,Xs)))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) & hBOOL(hAPP_f1378099862l_bool(Pa,X_1)))) # label(fact_529_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 681 (all X_1 all Pa all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(takeWh808795006le_alt(Pa,Xs)))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) & hBOOL(hAPP_P1813625415t_bool(Pa,X_1)))) # label(fact_530_set__takeWhileD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 682 (all Pa all Xs (takeWh1545314552le_alt(Pa,Xs) = Xs <-> (all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Xs))) -> hBOOL(hAPP_A1120018583t_bool(Pa,X_2))))))) # label(fact_531_takeWhile__eq__all__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 683 (all X_1 all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(butlas123970891le_alt(Xs)))) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))))) # label(fact_532_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 684 (all X_1 all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(butlas1808913499le_alt(Xs)))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))))) # label(fact_533_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 685 (all X_1 all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(butlas1811107560e_indi(Xs)))) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))))) # label(fact_534_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 686 (all X_1 all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(butlast_bool(Xs)))) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))))) # label(fact_535_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 687 (all X_1 all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(butlas423814760t_bool(Xs)))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))))) # label(fact_536_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 688 (all X_1 all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(butlas217264037t_bool(Xs)))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))))) # label(fact_537_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 689 (all X_1 all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(butlas813551546t_bool(Xs)))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))))) # label(fact_538_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 690 (all X_1 all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(butlas1168145387le_alt(Xs)))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))))) # label(fact_539_in__set__butlastD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 691 (all Y_2 all X_1 all Xs (is_Arr723427730le_alt(Y_2) & is_Arr723427730le_alt(X_1) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,Y_2),set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,Y_2),set_Ar426477344le_alt(Xs)))))) # label(fact_540_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 692 (all Y_2 all X_1 all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,Y_2),set_Pr1756729158le_alt(hAPP_l182884309le_alt(hAPP_P469465955le_alt(cons_P1245424375le_alt,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,Y_2),set_Pr1756729158le_alt(Xs))))) # label(fact_541_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 693 (all Y_2 all X_1 all Xs (is_Arr859726945e_indi(Y_2) & is_Arr859726945e_indi(X_1) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Y_2),set_Ar1035526739e_indi(hAPP_l1557274901e_indi(hAPP_A273991894e_indi(cons_A920022916e_indi,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Y_2),set_Ar1035526739e_indi(Xs)))))) # label(fact_542_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 694 (all Y_2 all X_1 all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),set_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))) -> (hBOOL(Y_2) <-> hBOOL(X_1)) | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),set_bool(Xs))))) # label(fact_543_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 695 (all Y_2 all X_1 all Xs (is_fun48324065t_bool(Y_2) & is_fun48324065t_bool(X_1) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Y_2),set_fu1433968595t_bool(hAPP_l1149974805t_bool(hAPP_f597269334t_bool(cons_f1113423620t_bool,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Y_2),set_fu1433968595t_bool(Xs)))))) # label(fact_544_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 696 (all Y_2 all X_1 all Xs (is_fun20916972t_bool(Y_2) & is_fun20916972t_bool(X_1) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Y_2),set_fu444796538t_bool(hAPP_l342779967t_bool(hAPP_f1916337549t_bool(cons_f476294153t_bool,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Y_2),set_fu444796538t_bool(Xs)))))) # label(fact_545_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 697 (all Y_2 all X_1 all Xs (is_fun1264457267t_bool(Y_2) & is_fun1264457267t_bool(X_1) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Y_2),set_fu222164517t_bool(hAPP_l1130749077t_bool(hAPP_f1337535236t_bool(cons_f160345174t_bool,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Y_2),set_fu222164517t_bool(Xs)))))) # label(fact_546_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 698 (all Y_2 all X_1 all Xs (is_Pro1004667236le_alt(Y_2) & is_Pro1004667236le_alt(X_1) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,Y_2),set_Pr2031705942le_alt(hAPP_l850073941le_alt(hAPP_P465197523le_alt(cons_P272751751le_alt,X_1),Xs)))) -> Y_2 = X_1 | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,Y_2),set_Pr2031705942le_alt(Xs)))))) # label(fact_547_set__ConsD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 699 (all X_1 all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> insert1969589781le_alt(X_1,Xs) = Xs)) # label(fact_548_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 700 (all X_1 all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> insert531176721le_alt(X_1,Xs) = Xs)) # label(fact_549_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 701 (all X_1 all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> insert1731565726e_indi(X_1,Xs) = Xs)) # label(fact_550_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 702 (all X_1 all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> insert_bool(X_1,Xs) = Xs)) # label(fact_551_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 703 (all X_1 all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> insert897399838t_bool(X_1,Xs) = Xs)) # label(fact_552_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 704 (all X_1 all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> insert1409495663t_bool(X_1,Xs) = Xs)) # label(fact_553_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 705 (all X_1 all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> insert22093680t_bool(X_1,Xs) = Xs)) # label(fact_554_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 706 (all X_1 all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> insert1683711393le_alt(X_1,Xs) = Xs)) # label(fact_555_in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 707 (all X_1 all Xs (hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs))) <-> -hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) & hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,Xs)))) # label(fact_556_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 708 (all X_1 all Xs (hBOOL(hAPP_l1642116416t_bool(distin1906002420le_alt,hAPP_l182884309le_alt(hAPP_P469465955le_alt(cons_P1245424375le_alt,X_1),Xs))) <-> -hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) & hBOOL(hAPP_l1642116416t_bool(distin1906002420le_alt,Xs)))) # label(fact_557_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 709 (all X_1 all Xs (hBOOL(hAPP_l479254477i_bool(distin26300929e_indi,hAPP_l1557274901e_indi(hAPP_A273991894e_indi(cons_A920022916e_indi,X_1),Xs))) <-> -hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) & hBOOL(hAPP_l479254477i_bool(distin26300929e_indi,Xs)))) # label(fact_558_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 710 (all X_1 all Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))) <-> -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) & hBOOL(hAPP_list_bool_bool(distinct_bool,Xs)))) # label(fact_559_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 711 (all X_1 all Xs (hBOOL(hAPP_l1936415565l_bool(distin943033217t_bool,hAPP_l1149974805t_bool(hAPP_f597269334t_bool(cons_f1113423620t_bool,X_1),Xs))) <-> -hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) & hBOOL(hAPP_l1936415565l_bool(distin943033217t_bool,Xs)))) # label(fact_560_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 712 (all X_1 all Xs (hBOOL(hAPP_l1684828478l_bool(distin751056204t_bool,hAPP_l342779967t_bool(hAPP_f1916337549t_bool(cons_f476294153t_bool,X_1),Xs))) <-> -hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) & hBOOL(hAPP_l1684828478l_bool(distin751056204t_bool,Xs)))) # label(fact_561_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 713 (all X_1 all Xs (hBOOL(hAPP_l4338847l_bool(distin526492627t_bool,hAPP_l1130749077t_bool(hAPP_f1337535236t_bool(cons_f160345174t_bool,X_1),Xs))) <-> -hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) & hBOOL(hAPP_l4338847l_bool(distin526492627t_bool,Xs)))) # label(fact_562_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 714 (all X_1 all Xs (hBOOL(hAPP_l548550096t_bool(distin135982852le_alt,hAPP_l850073941le_alt(hAPP_P465197523le_alt(cons_P272751751le_alt,X_1),Xs))) <-> -hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) & hBOOL(hAPP_l548550096t_bool(distin135982852le_alt,Xs)))) # label(fact_563_distinct_Osimps_I2_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 715 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> (-hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> takeWh1545314552le_alt(Pa,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1)) = takeWh1545314552le_alt(Pa,Xs)))) # label(fact_564_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 716 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> (-hBOOL(hAPP_P1373277879t_bool(Pa,X_1)) -> takeWh768831342le_alt(Pa,hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,Xs),Ys_1)) = takeWh768831342le_alt(Pa,Xs)))) # label(fact_565_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 717 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> (-hBOOL(hAPP_A416869060i_bool(Pa,X_1)) -> takeWh1088896635e_indi(Pa,hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,Xs),Ys_1)) = takeWh1088896635e_indi(Pa,Xs)))) # label(fact_566_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 718 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> (-hBOOL(hAPP_bool_bool(Pa,X_1)) -> takeWhile_bool(Pa,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys_1)) = takeWhile_bool(Pa,Xs)))) # label(fact_567_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 719 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> (-hBOOL(hAPP_f446648900l_bool(Pa,X_1)) -> takeWh1268567035t_bool(Pa,hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,Xs),Ys_1)) = takeWh1268567035t_bool(Pa,Xs)))) # label(fact_568_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 720 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> (-hBOOL(hAPP_f1733357041l_bool(Pa,X_1)) -> takeWh572506194t_bool(Pa,hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Xs),Ys_1)) = takeWh572506194t_bool(Pa,Xs)))) # label(fact_569_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 721 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> (-hBOOL(hAPP_f1378099862l_bool(Pa,X_1)) -> takeWh1813199437t_bool(Pa,hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Xs),Ys_1)) = takeWh1813199437t_bool(Pa,Xs)))) # label(fact_570_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 722 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> (-hBOOL(hAPP_P1813625415t_bool(Pa,X_1)) -> takeWh808795006le_alt(Pa,hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Xs),Ys_1)) = takeWh808795006le_alt(Pa,Xs)))) # label(fact_571_takeWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 723 (all As (As != nil_Ar1135217151le_alt -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(As)),set_Ar426477344le_alt(As))))) # label(fact_572_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 724 (all As (As != nil_Pr1710246567le_alt -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,last_P1076199502le_alt(As)),set_Pr1756729158le_alt(As))))) # label(fact_573_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 725 (all As (As != nil_Ar637146932e_indi -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,last_A560832347e_indi(As)),set_Ar1035526739e_indi(As))))) # label(fact_574_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 726 (all As (As != nil_bool -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,last_bool(As)),set_bool(As))))) # label(fact_575_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 727 (all As (As != nil_fu1180010164t_bool -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,last_f584510683t_bool(As)),set_fu1433968595t_bool(As))))) # label(fact_576_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 728 (all As (As != nil_fu1714546777t_bool -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,last_f1172522866t_bool(As)),set_fu444796538t_bool(As))))) # label(fact_577_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 729 (all As (As != nil_fu247759878t_bool -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,last_f1921219373t_bool(As)),set_fu222164517t_bool(As))))) # label(fact_578_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 730 (all As (As != nil_Pr1368032311le_alt -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,last_P15572062le_alt(As)),set_Pr2031705942le_alt(As))))) # label(fact_579_last__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 731 (all Pa all Xs (dropWh1165804960le_alt(Pa,Xs) = nil_Ar1135217151le_alt <-> (all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Xs))) -> hBOOL(hAPP_A1120018583t_bool(Pa,X_2))))))) # label(fact_580_dropWhile__eq__Nil__conv) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 732 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(butlas123970891le_alt(Xs)))) | hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(butlas123970891le_alt(Ys_1)))) -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1))))))) # label(fact_581_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 733 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(butlas1808913499le_alt(Xs)))) | hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(butlas1808913499le_alt(Ys_1)))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(butlas1808913499le_alt(hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,Xs),Ys_1))))))) # label(fact_582_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 734 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(butlas1811107560e_indi(Xs)))) | hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(butlas1811107560e_indi(Ys_1)))) -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(butlas1811107560e_indi(hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,Xs),Ys_1))))))) # label(fact_583_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 735 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(butlast_bool(Xs)))) | hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(butlast_bool(Ys_1)))) -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(butlast_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys_1))))))) # label(fact_584_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 736 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(butlas423814760t_bool(Xs)))) | hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(butlas423814760t_bool(Ys_1)))) -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(butlas423814760t_bool(hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,Xs),Ys_1))))))) # label(fact_585_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 737 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(butlas217264037t_bool(Xs)))) | hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(butlas217264037t_bool(Ys_1)))) -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(butlas217264037t_bool(hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Xs),Ys_1))))))) # label(fact_586_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 738 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(butlas813551546t_bool(Xs)))) | hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(butlas813551546t_bool(Ys_1)))) -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(butlas813551546t_bool(hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Xs),Ys_1))))))) # label(fact_587_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 739 (all Ys_1 all X_1 all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(butlas1168145387le_alt(Xs)))) | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(butlas1168145387le_alt(Ys_1)))) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(butlas1168145387le_alt(hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Xs),Ys_1))))))) # label(fact_588_in__set__butlast__appendI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 740 (all Xs (Xs != nil_Ar1135217151le_alt -> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(Xs)),set_Ar426477344le_alt(Xs))))) # label(fact_589_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 741 (all Xs (Xs != nil_Pr1710246567le_alt -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hd_Pro53798164le_alt(Xs)),set_Pr1756729158le_alt(Xs))))) # label(fact_590_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 742 (all Xs (Xs != nil_Ar637146932e_indi -> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hd_Arr1280875809e_indi(Xs)),set_Ar1035526739e_indi(Xs))))) # label(fact_591_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 743 (all Xs (Xs != nil_bool -> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hd_bool(Xs)),set_bool(Xs))))) # label(fact_592_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 744 (all Xs (Xs != nil_fu1180010164t_bool -> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hd_fun1289819809t_bool(Xs)),set_fu1433968595t_bool(Xs))))) # label(fact_593_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 745 (all Xs (Xs != nil_fu1714546777t_bool -> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hd_fun1937506860t_bool(Xs)),set_fu444796538t_bool(Xs))))) # label(fact_594_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 746 (all Xs (Xs != nil_fu247759878t_bool -> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hd_fun780865267t_bool(Xs)),set_fu222164517t_bool(Xs))))) # label(fact_595_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 747 (all Xs (Xs != nil_Pr1368032311le_alt -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hd_Pro804272676le_alt(Xs)),set_Pr2031705942le_alt(Xs))))) # label(fact_596_hd__in__set) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 748 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> (-hBOOL(hAPP_A1120018583t_bool(Pa,X_1)) -> dropWh1165804960le_alt(Pa,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,dropWh1165804960le_alt(Pa,Xs)),Ys_1)))) # label(fact_597_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 749 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> (-hBOOL(hAPP_P1373277879t_bool(Pa,X_1)) -> dropWh1957015750le_alt(Pa,hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,Xs),Ys_1)) = hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,dropWh1957015750le_alt(Pa,Xs)),Ys_1)))) # label(fact_598_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 750 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> (-hBOOL(hAPP_A416869060i_bool(Pa,X_1)) -> dropWh1417102291e_indi(Pa,hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,Xs),Ys_1)) = hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,dropWh1417102291e_indi(Pa,Xs)),Ys_1)))) # label(fact_599_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 751 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> (-hBOOL(hAPP_bool_bool(Pa,X_1)) -> dropWhile_bool(Pa,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys_1)) = hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,dropWhile_bool(Pa,Xs)),Ys_1)))) # label(fact_600_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 752 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> (-hBOOL(hAPP_f446648900l_bool(Pa,X_1)) -> dropWh1122107731t_bool(Pa,hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,Xs),Ys_1)) = hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,dropWh1122107731t_bool(Pa,Xs)),Ys_1)))) # label(fact_601_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 753 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> (-hBOOL(hAPP_f1733357041l_bool(Pa,X_1)) -> dropWh193383674t_bool(Pa,hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Xs),Ys_1)) = hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,dropWh193383674t_bool(Pa,Xs)),Ys_1)))) # label(fact_602_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 754 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> (-hBOOL(hAPP_f1378099862l_bool(Pa,X_1)) -> dropWh2056378277t_bool(Pa,hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Xs),Ys_1)) = hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,dropWh2056378277t_bool(Pa,Xs)),Ys_1)))) # label(fact_603_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 755 (all Ys_1 all Pa all X_1 all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> (-hBOOL(hAPP_P1813625415t_bool(Pa,X_1)) -> dropWh1186971862le_alt(Pa,hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Xs),Ys_1)) = hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,dropWh1186971862le_alt(Pa,Xs)),Ys_1)))) # label(fact_604_dropWhile__append1) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 756 (all X_1 all Xs ((hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> insert1969589781le_alt(X_1,Xs) = Xs) & (-hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> insert1969589781le_alt(X_1,Xs) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs)))) # label(fact_605_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 757 (all X_1 all Xs ((hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> insert531176721le_alt(X_1,Xs) = Xs) & (-hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> insert531176721le_alt(X_1,Xs) = hAPP_l182884309le_alt(hAPP_P469465955le_alt(cons_P1245424375le_alt,X_1),Xs)))) # label(fact_606_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 758 (all X_1 all Xs ((hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> insert1731565726e_indi(X_1,Xs) = Xs) & (-hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> insert1731565726e_indi(X_1,Xs) = hAPP_l1557274901e_indi(hAPP_A273991894e_indi(cons_A920022916e_indi,X_1),Xs)))) # label(fact_607_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 759 (all X_1 all Xs ((hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> insert_bool(X_1,Xs) = Xs) & (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> insert_bool(X_1,Xs) = hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))) # label(fact_608_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 760 (all X_1 all Xs ((hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> insert897399838t_bool(X_1,Xs) = Xs) & (-hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> insert897399838t_bool(X_1,Xs) = hAPP_l1149974805t_bool(hAPP_f597269334t_bool(cons_f1113423620t_bool,X_1),Xs)))) # label(fact_609_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 761 (all X_1 all Xs ((hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> insert1409495663t_bool(X_1,Xs) = Xs) & (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> insert1409495663t_bool(X_1,Xs) = hAPP_l342779967t_bool(hAPP_f1916337549t_bool(cons_f476294153t_bool,X_1),Xs)))) # label(fact_610_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 762 (all X_1 all Xs ((hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> insert22093680t_bool(X_1,Xs) = Xs) & (-hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> insert22093680t_bool(X_1,Xs) = hAPP_l1130749077t_bool(hAPP_f1337535236t_bool(cons_f160345174t_bool,X_1),Xs)))) # label(fact_611_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 763 (all X_1 all Xs ((hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> insert1683711393le_alt(X_1,Xs) = Xs) & (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> insert1683711393le_alt(X_1,Xs) = hAPP_l850073941le_alt(hAPP_P465197523le_alt(cons_P272751751le_alt,X_1),Xs)))) # label(fact_612_List_Oinsert__def) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 764 (all X_1 all Xs (-hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_1),set_Ar426477344le_alt(Xs))) -> insert1969589781le_alt(X_1,Xs) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_1),Xs))) # label(fact_613_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 765 (all X_1 all Xs (-hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_1),set_Pr1756729158le_alt(Xs))) -> insert531176721le_alt(X_1,Xs) = hAPP_l182884309le_alt(hAPP_P469465955le_alt(cons_P1245424375le_alt,X_1),Xs))) # label(fact_614_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 766 (all X_1 all Xs (-hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),set_Ar1035526739e_indi(Xs))) -> insert1731565726e_indi(X_1,Xs) = hAPP_l1557274901e_indi(hAPP_A273991894e_indi(cons_A920022916e_indi,X_1),Xs))) # label(fact_615_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 767 (all X_1 all Xs (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),set_bool(Xs))) -> insert_bool(X_1,Xs) = hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))) # label(fact_616_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 768 (all X_1 all Xs (-hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),set_fu1433968595t_bool(Xs))) -> insert897399838t_bool(X_1,Xs) = hAPP_l1149974805t_bool(hAPP_f597269334t_bool(cons_f1113423620t_bool,X_1),Xs))) # label(fact_617_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 769 (all X_1 all Xs (-hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) -> insert1409495663t_bool(X_1,Xs) = hAPP_l342779967t_bool(hAPP_f1916337549t_bool(cons_f476294153t_bool,X_1),Xs))) # label(fact_618_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 770 (all X_1 all Xs (-hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) -> insert22093680t_bool(X_1,Xs) = hAPP_l1130749077t_bool(hAPP_f1337535236t_bool(cons_f160345174t_bool,X_1),Xs))) # label(fact_619_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 771 (all X_1 all Xs (-hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) -> insert1683711393le_alt(X_1,Xs) = hAPP_l850073941le_alt(hAPP_P465197523le_alt(cons_P272751751le_alt,X_1),Xs))) # label(fact_620_not__in__set__insert) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.83 772 (all Pa all Xs all Yes all No (partit1336600824le_alt(Pa,Xs) = hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Yes),No) -> (all X_2 (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Yes))) -> hBOOL(hAPP_A1120018583t_bool(Pa,X_2)))) & (all X_2 (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(No))) -> -hBOOL(hAPP_A1120018583t_bool(Pa,X_2)))))) # label(fact_621_partition__P) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 773 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_Arr723427730le_alt(X_2) & is_Arr723427730le_alt(Y_1) & is_Arr723427730le_alt(Z) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Xs))) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Y_1),Z)),R_1)) -> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Ys_1)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Ys_1),Zs_1)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Xs),Zs_1)),hAPP_f1681297285t_bool(lexord807118444le_alt,R_1))))))) # label(fact_622_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 774 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (hBOOL(hAPP_f1472889102l_bool(hAPP_l1197505987l_bool(member1245674225le_alt,X_2),set_li1879521523le_alt(Xs))) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,Y_1),Z)),R_1)) -> hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,hAPP_l591780830le_alt(hAPP_l1148780281le_alt(produc2031778509le_alt,X_2),Z)),R_1)))))) -> (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Ys_1)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))) -> (hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Ys_1),Zs_1)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))) -> hBOOL(hAPP_f2099712241l_bool(hAPP_P142941065l_bool(member694465108le_alt,hAPP_l2112442743le_alt(hAPP_l400262709le_alt(produc1707341143le_alt,Xs),Zs_1)),hAPP_f664322981t_bool(lexord717456039le_alt,R_1))))))) # label(fact_623_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 775 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),set_Pr1756729158le_alt(Xs))) -> (hBOOL(hAPP_f704486919l_bool(hAPP_P1992806581l_bool(member985525226le_alt,hAPP_P937918807le_alt(hAPP_P1109943007le_alt(produc218110963le_alt,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f704486919l_bool(hAPP_P1992806581l_bool(member985525226le_alt,hAPP_P937918807le_alt(hAPP_P1109943007le_alt(produc218110963le_alt,Y_1),Z)),R_1)) -> hBOOL(hAPP_f704486919l_bool(hAPP_P1992806581l_bool(member985525226le_alt,hAPP_P937918807le_alt(hAPP_P1109943007le_alt(produc218110963le_alt,X_2),Z)),R_1)))))) -> (hBOOL(hAPP_f2078996785l_bool(hAPP_P1085061129l_bool(member1805745300le_alt,hAPP_l1556767370le_alt(hAPP_l1615793307le_alt(produc499297815le_alt,Xs),Ys_1)),hAPP_f304790207t_bool(lexord170366202le_alt,R_1))) -> (hBOOL(hAPP_f2078996785l_bool(hAPP_P1085061129l_bool(member1805745300le_alt,hAPP_l1556767370le_alt(hAPP_l1615793307le_alt(produc499297815le_alt,Ys_1),Zs_1)),hAPP_f304790207t_bool(lexord170366202le_alt,R_1))) -> hBOOL(hAPP_f2078996785l_bool(hAPP_P1085061129l_bool(member1805745300le_alt,hAPP_l1556767370le_alt(hAPP_l1615793307le_alt(produc499297815le_alt,Xs),Zs_1)),hAPP_f304790207t_bool(lexord170366202le_alt,R_1))))))) # label(fact_624_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 776 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_Arr859726945e_indi(X_2) & is_Arr859726945e_indi(Y_1) & is_Arr859726945e_indi(Z) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),set_Ar1035526739e_indi(Xs))) -> (hBOOL(hAPP_f511649569l_bool(hAPP_P1435933929l_bool(member258426884e_indi,hAPP_A2054143614e_indi(hAPP_A785351481e_indi(produc2070216205e_indi,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f511649569l_bool(hAPP_P1435933929l_bool(member258426884e_indi,hAPP_A2054143614e_indi(hAPP_A785351481e_indi(produc2070216205e_indi,Y_1),Z)),R_1)) -> hBOOL(hAPP_f511649569l_bool(hAPP_P1435933929l_bool(member258426884e_indi,hAPP_A2054143614e_indi(hAPP_A785351481e_indi(produc2070216205e_indi,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f1140617841l_bool(hAPP_P173682825l_bool(member912023252e_indi,hAPP_l2129529815e_indi(hAPP_l1484722549e_indi(produc1849892183e_indi,Xs),Ys_1)),hAPP_f695049061i_bool(lexord1918670343e_indi,R_1))) -> (hBOOL(hAPP_f1140617841l_bool(hAPP_P173682825l_bool(member912023252e_indi,hAPP_l2129529815e_indi(hAPP_l1484722549e_indi(produc1849892183e_indi,Ys_1),Zs_1)),hAPP_f695049061i_bool(lexord1918670343e_indi,R_1))) -> hBOOL(hAPP_f1140617841l_bool(hAPP_P173682825l_bool(member912023252e_indi,hAPP_l2129529815e_indi(hAPP_l1484722549e_indi(produc1849892183e_indi,Xs),Zs_1)),hAPP_f695049061i_bool(lexord1918670343e_indi,R_1))))))) # label(fact_625_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 777 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_bool(X_2) & is_bool(Y_1) & is_bool(Z) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),set_bool(Xs))) -> (hBOOL(hAPP_f1098788115l_bool(hAPP_P738148045l_bool(member624253174l_bool,hAPP_b2048821609l_bool(hAPP_b1115999851l_bool(produc1246214911l_bool,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f1098788115l_bool(hAPP_P738148045l_bool(member624253174l_bool,hAPP_b2048821609l_bool(hAPP_b1115999851l_bool(produc1246214911l_bool,Y_1),Z)),R_1)) -> hBOOL(hAPP_f1098788115l_bool(hAPP_P738148045l_bool(member624253174l_bool,hAPP_b2048821609l_bool(hAPP_b1115999851l_bool(produc1246214911l_bool,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f263022001l_bool(hAPP_P1870454025l_bool(member1058364180t_bool,hAPP_l1349316624t_bool(hAPP_l218095399t_bool(produc1067887767t_bool,Xs),Ys_1)),hAPP_f1114274611l_bool(lexord_bool,R_1))) -> (hBOOL(hAPP_f263022001l_bool(hAPP_P1870454025l_bool(member1058364180t_bool,hAPP_l1349316624t_bool(hAPP_l218095399t_bool(produc1067887767t_bool,Ys_1),Zs_1)),hAPP_f1114274611l_bool(lexord_bool,R_1))) -> hBOOL(hAPP_f263022001l_bool(hAPP_P1870454025l_bool(member1058364180t_bool,hAPP_l1349316624t_bool(hAPP_l218095399t_bool(produc1067887767t_bool,Xs),Zs_1)),hAPP_f1114274611l_bool(lexord_bool,R_1))))))) # label(fact_626_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 778 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_fun48324065t_bool(X_2) & is_fun48324065t_bool(Y_1) & is_fun48324065t_bool(Z) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),set_fu1433968595t_bool(Xs))) -> (hBOOL(hAPP_f140107297l_bool(hAPP_P1099469545l_bool(member205384452t_bool,hAPP_f38433022t_bool(hAPP_f1596466233t_bool(produc882973453t_bool,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f140107297l_bool(hAPP_P1099469545l_bool(member205384452t_bool,hAPP_f38433022t_bool(hAPP_f1596466233t_bool(produc882973453t_bool,Y_1),Z)),R_1)) -> hBOOL(hAPP_f140107297l_bool(hAPP_P1099469545l_bool(member205384452t_bool,hAPP_f38433022t_bool(hAPP_f1596466233t_bool(produc882973453t_bool,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f1456773233l_bool(hAPP_P776750217l_bool(member200634580t_bool,hAPP_l1242238295t_bool(hAPP_l1784712821t_bool(produc49085783t_bool,Xs),Ys_1)),hAPP_f357296741l_bool(lexord1145600903t_bool,R_1))) -> (hBOOL(hAPP_f1456773233l_bool(hAPP_P776750217l_bool(member200634580t_bool,hAPP_l1242238295t_bool(hAPP_l1784712821t_bool(produc49085783t_bool,Ys_1),Zs_1)),hAPP_f357296741l_bool(lexord1145600903t_bool,R_1))) -> hBOOL(hAPP_f1456773233l_bool(hAPP_P776750217l_bool(member200634580t_bool,hAPP_l1242238295t_bool(hAPP_l1784712821t_bool(produc49085783t_bool,Xs),Zs_1)),hAPP_f357296741l_bool(lexord1145600903t_bool,R_1))))))) # label(fact_627_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 779 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_fun20916972t_bool(X_2) & is_fun20916972t_bool(Y_1) & is_fun20916972t_bool(Z) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),set_fu444796538t_bool(Xs))) -> (hBOOL(hAPP_f891725169l_bool(hAPP_P1919864457l_bool(member2100323796t_bool,hAPP_f1265889019t_bool(hAPP_f1999636669t_bool(produc1802651735t_bool,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f891725169l_bool(hAPP_P1919864457l_bool(member2100323796t_bool,hAPP_f1265889019t_bool(hAPP_f1999636669t_bool(produc1802651735t_bool,Y_1),Z)),R_1)) -> hBOOL(hAPP_f891725169l_bool(hAPP_P1919864457l_bool(member2100323796t_bool,hAPP_f1265889019t_bool(hAPP_f1999636669t_bool(produc1802651735t_bool,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f1422872597l_bool(hAPP_P328558801l_bool(member1477971960t_bool,hAPP_l839073004t_bool(hAPP_l131013165t_bool(produc1134856577t_bool,Xs),Ys_1)),hAPP_f2031254713l_bool(lexord1692326342t_bool,R_1))) -> (hBOOL(hAPP_f1422872597l_bool(hAPP_P328558801l_bool(member1477971960t_bool,hAPP_l839073004t_bool(hAPP_l131013165t_bool(produc1134856577t_bool,Ys_1),Zs_1)),hAPP_f2031254713l_bool(lexord1692326342t_bool,R_1))) -> hBOOL(hAPP_f1422872597l_bool(hAPP_P328558801l_bool(member1477971960t_bool,hAPP_l839073004t_bool(hAPP_l131013165t_bool(produc1134856577t_bool,Xs),Zs_1)),hAPP_f2031254713l_bool(lexord1692326342t_bool,R_1))))))) # label(fact_628_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 780 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_fun1264457267t_bool(X_2) & is_fun1264457267t_bool(Y_1) & is_fun1264457267t_bool(Z) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),set_fu222164517t_bool(Xs))) -> (hBOOL(hAPP_f1508705733l_bool(hAPP_P1374173745l_bool(member1765007528t_bool,hAPP_f1639289588t_bool(hAPP_f1785736029t_bool(produc999701681t_bool,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f1508705733l_bool(hAPP_P1374173745l_bool(member1765007528t_bool,hAPP_f1639289588t_bool(hAPP_f1785736029t_bool(produc999701681t_bool,Y_1),Z)),R_1)) -> hBOOL(hAPP_f1508705733l_bool(hAPP_P1374173745l_bool(member1765007528t_bool,hAPP_f1639289588t_bool(hAPP_f1785736029t_bool(produc999701681t_bool,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f288803825l_bool(hAPP_P981043081l_bool(member976989780t_bool,hAPP_l607015721t_bool(hAPP_l1064263321t_bool(produc436944087t_bool,Xs),Ys_1)),hAPP_f363884353l_bool(lexord373145049t_bool,R_1))) -> (hBOOL(hAPP_f288803825l_bool(hAPP_P981043081l_bool(member976989780t_bool,hAPP_l607015721t_bool(hAPP_l1064263321t_bool(produc436944087t_bool,Ys_1),Zs_1)),hAPP_f363884353l_bool(lexord373145049t_bool,R_1))) -> hBOOL(hAPP_f288803825l_bool(hAPP_P981043081l_bool(member976989780t_bool,hAPP_l607015721t_bool(hAPP_l1064263321t_bool(produc436944087t_bool,Xs),Zs_1)),hAPP_f363884353l_bool(lexord373145049t_bool,R_1))))))) # label(fact_629_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 781 (all Zs_1 all Ys_1 all R_1 all Xs ((all X_2 all Y_1 all Z (is_Pro1004667236le_alt(X_2) & is_Pro1004667236le_alt(Y_1) & is_Pro1004667236le_alt(Z) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),set_Pr2031705942le_alt(Xs))) -> (hBOOL(hAPP_f1720639399l_bool(hAPP_P626359285l_bool(member852432522le_alt,hAPP_P29732487le_alt(hAPP_P1725284223le_alt(produc744410643le_alt,X_2),Y_1)),R_1)) -> (hBOOL(hAPP_f1720639399l_bool(hAPP_P626359285l_bool(member852432522le_alt,hAPP_P29732487le_alt(hAPP_P1725284223le_alt(produc744410643le_alt,Y_1),Z)),R_1)) -> hBOOL(hAPP_f1720639399l_bool(hAPP_P626359285l_bool(member852432522le_alt,hAPP_P29732487le_alt(hAPP_P1725284223le_alt(produc744410643le_alt,X_2),Z)),R_1))))))) -> (hBOOL(hAPP_f1342253361l_bool(hAPP_P585301513l_bool(member1353676180le_alt,hAPP_l309028378le_alt(hAPP_l794402875le_alt(produc1787549079le_alt,Xs),Ys_1)),hAPP_f846944031t_bool(lexord1008325386le_alt,R_1))) -> (hBOOL(hAPP_f1342253361l_bool(hAPP_P585301513l_bool(member1353676180le_alt,hAPP_l309028378le_alt(hAPP_l794402875le_alt(produc1787549079le_alt,Ys_1),Zs_1)),hAPP_f846944031t_bool(lexord1008325386le_alt,R_1))) -> hBOOL(hAPP_f1342253361l_bool(hAPP_P585301513l_bool(member1353676180le_alt,hAPP_l309028378le_alt(hAPP_l794402875le_alt(produc1787549079le_alt,Xs),Zs_1)),hAPP_f846944031t_bool(lexord1008325386le_alt,R_1))))))) # label(fact_630_lexord__partial__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 782 (all Ys_1 all Pa all Xs ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Xs))) -> hBOOL(hAPP_A1120018583t_bool(Pa,X_2))))) -> dropWh1165804960le_alt(Pa,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1)) = dropWh1165804960le_alt(Pa,Ys_1))) # label(fact_631_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 783 (all Ys_1 all Pa all Xs ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),set_Pr1756729158le_alt(Xs))) -> hBOOL(hAPP_P1373277879t_bool(Pa,X_2)))) -> dropWh1957015750le_alt(Pa,hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,Xs),Ys_1)) = dropWh1957015750le_alt(Pa,Ys_1))) # label(fact_632_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 784 (all Ys_1 all Pa all Xs ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),set_Ar1035526739e_indi(Xs))) -> hBOOL(hAPP_A416869060i_bool(Pa,X_2))))) -> dropWh1417102291e_indi(Pa,hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,Xs),Ys_1)) = dropWh1417102291e_indi(Pa,Ys_1))) # label(fact_633_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 785 (all Ys_1 all Pa all Xs ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),set_bool(Xs))) -> hBOOL(hAPP_bool_bool(Pa,X_2))))) -> dropWhile_bool(Pa,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys_1)) = dropWhile_bool(Pa,Ys_1))) # label(fact_634_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 786 (all Ys_1 all Pa all Xs ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),set_fu1433968595t_bool(Xs))) -> hBOOL(hAPP_f446648900l_bool(Pa,X_2))))) -> dropWh1122107731t_bool(Pa,hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,Xs),Ys_1)) = dropWh1122107731t_bool(Pa,Ys_1))) # label(fact_635_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 787 (all Ys_1 all Pa all Xs ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),set_fu444796538t_bool(Xs))) -> hBOOL(hAPP_f1733357041l_bool(Pa,X_2))))) -> dropWh193383674t_bool(Pa,hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Xs),Ys_1)) = dropWh193383674t_bool(Pa,Ys_1))) # label(fact_636_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 788 (all Ys_1 all Pa all Xs ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),set_fu222164517t_bool(Xs))) -> hBOOL(hAPP_f1378099862l_bool(Pa,X_2))))) -> dropWh2056378277t_bool(Pa,hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Xs),Ys_1)) = dropWh2056378277t_bool(Pa,Ys_1))) # label(fact_637_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 789 (all Ys_1 all Pa all Xs ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),set_Pr2031705942le_alt(Xs))) -> hBOOL(hAPP_P1813625415t_bool(Pa,X_2))))) -> dropWh1186971862le_alt(Pa,hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Xs),Ys_1)) = dropWh1186971862le_alt(Pa,Ys_1))) # label(fact_638_dropWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 790 (all Ys_1 all Pa all Xs ((all X_2 (is_Arr723427730le_alt(X_2) -> (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Xs))) -> hBOOL(hAPP_A1120018583t_bool(Pa,X_2))))) -> takeWh1545314552le_alt(Pa,hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),Ys_1)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Xs),takeWh1545314552le_alt(Pa,Ys_1)))) # label(fact_639_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 791 (all Ys_1 all Pa all Xs ((all X_2 (hBOOL(hAPP_f890578273l_bool(hAPP_P2032392041l_bool(member1373125444le_alt,X_2),set_Pr1756729158le_alt(Xs))) -> hBOOL(hAPP_P1373277879t_bool(Pa,X_2)))) -> takeWh768831342le_alt(Pa,hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,Xs),Ys_1)) = hAPP_l182884309le_alt(hAPP_l2076130586le_alt(append1768277586le_alt,Xs),takeWh768831342le_alt(Pa,Ys_1)))) # label(fact_640_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 792 (all Ys_1 all Pa all Xs ((all X_2 (is_Arr859726945e_indi(X_2) -> (hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),set_Ar1035526739e_indi(Xs))) -> hBOOL(hAPP_A416869060i_bool(Pa,X_2))))) -> takeWh1088896635e_indi(Pa,hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,Xs),Ys_1)) = hAPP_l1557274901e_indi(hAPP_l203258125e_indi(append968919903e_indi,Xs),takeWh1088896635e_indi(Pa,Ys_1)))) # label(fact_641_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 793 (all Ys_1 all Pa all Xs ((all X_2 (is_bool(X_2) -> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),set_bool(Xs))) -> hBOOL(hAPP_bool_bool(Pa,X_2))))) -> takeWhile_bool(Pa,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys_1)) = hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),takeWhile_bool(Pa,Ys_1)))) # label(fact_642_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 794 (all Ys_1 all Pa all Xs ((all X_2 (is_fun48324065t_bool(X_2) -> (hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),set_fu1433968595t_bool(Xs))) -> hBOOL(hAPP_f446648900l_bool(Pa,X_2))))) -> takeWh1268567035t_bool(Pa,hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,Xs),Ys_1)) = hAPP_l1149974805t_bool(hAPP_l1032792973t_bool(append1480696031t_bool,Xs),takeWh1268567035t_bool(Pa,Ys_1)))) # label(fact_643_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 795 (all Ys_1 all Pa all Xs ((all X_2 (is_fun20916972t_bool(X_2) -> (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),set_fu444796538t_bool(Xs))) -> hBOOL(hAPP_f1733357041l_bool(Pa,X_2))))) -> takeWh572506194t_bool(Pa,hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Xs),Ys_1)) = hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Xs),takeWh572506194t_bool(Pa,Ys_1)))) # label(fact_644_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 796 (all Ys_1 all Pa all Xs ((all X_2 (is_fun1264457267t_bool(X_2) -> (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),set_fu222164517t_bool(Xs))) -> hBOOL(hAPP_f1378099862l_bool(Pa,X_2))))) -> takeWh1813199437t_bool(Pa,hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Xs),Ys_1)) = hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Xs),takeWh1813199437t_bool(Pa,Ys_1)))) # label(fact_645_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 797 (all Ys_1 all Pa all Xs ((all X_2 (is_Pro1004667236le_alt(X_2) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),set_Pr2031705942le_alt(Xs))) -> hBOOL(hAPP_P1813625415t_bool(Pa,X_2))))) -> takeWh808795006le_alt(Pa,hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Xs),Ys_1)) = hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Xs),takeWh808795006le_alt(Pa,Ys_1)))) # label(fact_646_takeWhile__append2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 798 (all Pa all Xs ((exists X_2 (hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X_2),set_Ar426477344le_alt(Xs))) & hBOOL(hAPP_A1120018583t_bool(Pa,X_2)))) -> -(all Ys all X_2 (is_Arr723427730le_alt(X_2) -> ((exists Zs Xs = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,Ys),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X_2),Zs))) -> -hBOOL(hAPP_A1120018583t_bool(Pa,X_2))))))) # label(fact_647_split__list__propE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 799 (all X_1 all Xs (hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),set_fu444796538t_bool(Xs))) <-> (exists Ys exists Zs Xs = hAPP_l342779967t_bool(hAPP_l1392153600t_bool(append2131097198t_bool,Ys),hAPP_l342779967t_bool(hAPP_f1916337549t_bool(cons_f476294153t_bool,X_1),Zs))))) # label(fact_648_in__set__conv__decomp) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 800 (all X_1 all Xs (hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),set_fu222164517t_bool(Xs))) <-> (exists Ys exists Zs Xs = hAPP_l1130749077t_bool(hAPP_l1438053435t_bool(append352340785t_bool,Ys),hAPP_l1130749077t_bool(hAPP_f1337535236t_bool(cons_f160345174t_bool,X_1),Zs))))) # label(fact_649_in__set__conv__decomp) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 801 (all X_1 all Xs (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),set_Pr2031705942le_alt(Xs))) <-> (exists Ys exists Zs Xs = hAPP_l850073941le_alt(hAPP_l595508106le_alt(append1735936098le_alt,Ys),hAPP_l850073941le_alt(hAPP_P465197523le_alt(cons_P272751751le_alt,X_1),Zs))))) # label(fact_650_in__set__conv__decomp) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 802 (all X all Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y)))) # label(fact_651_termination__basic__simps_I5_J) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 803 (all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),suc(N_1)))) # label(fact_652_lessI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 804 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,suc(M_1)),suc(N_1))))) # label(fact_653_Suc__mono) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 805 (all N_1 N_1 != suc(N_1)) # label(fact_654_n__not__Suc__n) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 806 (all N_1 suc(N_1) != N_1) # label(fact_655_Suc__n__not__n) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 807 (all Nat_1 all Nat (suc(Nat_1) = suc(Nat) <-> Nat_1 = Nat)) # label(fact_656_nat_Oinject) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 808 (all X all Y (suc(X) = suc(Y) -> X = Y)) # label(fact_657_Suc__inject) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 809 (all N_1 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))) # label(fact_658_less__not__refl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 810 (all M all N (M != N <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)))) # label(fact_659_nat__neq__iff) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 811 (all X all Y (X != Y -> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X))))) # label(fact_660_linorder__neqE__nat) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 812 (all N_1 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))) # label(fact_661_less__irrefl__nat) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 813 (all N_1 all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)) -> M_1 != N_1)) # label(fact_662_less__not__refl2) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 814 (all S all T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T)) -> S != T)) # label(fact_663_less__not__refl3) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 815 (all Pa all M all N ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,N),M))) -> ((M = N -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,N),M))) -> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,N),M))) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,N),M)))))) # label(fact_664_nat__less__cases) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 816 (all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),N_1))) # label(fact_665_le__refl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 817 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_1)))) # label(fact_666_nat__le__linear) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 818 (all M_1 all N_1 (M_1 = N_1 -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)))) # label(fact_667_eq__imp__le) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 819 (all K all I_1 all J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) -> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),K)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),K))))) # label(fact_668_le__trans) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 820 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) -> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_1)) -> M_1 = N_1))) # label(fact_669_le__antisym) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 821 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,suc(M_1)),suc(N_1))) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))) # label(fact_670_Suc__less__SucD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 822 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,suc(M_1)),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))) # label(fact_671_Suc__lessD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 823 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),suc(N_1))) -> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) -> M_1 = N_1))) # label(fact_672_less__SucE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 824 (all K all I_1 all J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) -> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,suc(I_1)),K))))) # label(fact_673_less__trans__Suc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 825 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) -> (suc(M_1) != N_1 -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,suc(M_1)),N_1))))) # label(fact_674_Suc__lessI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 826 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),suc(N_1))))) # label(fact_675_less__SucI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 827 (all N_1 all M_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)) -> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),suc(M_1))) -> M_1 = N_1))) # label(fact_676_less__antisym) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 828 (all N all M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)) -> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),suc(M))) <-> N = M))) # label(fact_677_not__less__less__Suc__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 829 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,suc(M)),suc(N))) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))) # label(fact_678_Suc__less__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 830 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),suc(N))) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) | M = N)) # label(fact_679_less__Suc__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 831 (all M all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),suc(M))))) # label(fact_680_not__less__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 832 (all N_1 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(N_1)),N_1))) # label(fact_681_Suc__n__not__le__n) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 833 (all M all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(N)),M)))) # label(fact_682_not__less__eq__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 834 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),suc(N))) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) | M = suc(N))) # label(fact_683_le__Suc__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 835 (all N all M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(N)),suc(M))) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M)))) # label(fact_684_Suc__le__mono) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 836 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),suc(N_1))))) # label(fact_685_le__SucI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 837 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),suc(N_1))) -> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) -> M_1 = suc(N_1)))) # label(fact_686_le__SucE) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 838 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(M_1)),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)))) # label(fact_687_Suc__leD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 839 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) | M_1 = N_1 -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)))) # label(fact_688_less__or__eq__imp__le) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 840 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) -> (M_1 != N_1 -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))))) # label(fact_689_le__neq__implies__less) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 841 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)))) # label(fact_690_less__imp__le__nat) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 842 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) | M = N)) # label(fact_691_le__eq__less__or__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 843 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) & M != N)) # label(fact_692_nat__less__le) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 844 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(M_1)),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))) # label(fact_693_Suc__le__lessD) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 845 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) -> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),suc(M))) <-> N = M))) # label(fact_694_le__less__Suc__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 846 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(M_1)),N_1)))) # label(fact_695_Suc__leI) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 847 (all M_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) -> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),suc(N_1))))) # label(fact_696_le__imp__less__Suc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 848 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(M)),N)) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))) # label(fact_697_Suc__le__eq) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 849 (all M all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),suc(N))) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)))) # label(fact_698_less__Suc__eq__le) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 850 (all N all M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)) <-> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,suc(N)),M)))) # label(fact_699_less__eq__Suc__le) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 851 (all P (-hBOOL(hAPP_bool_bool(fNot,P)) | -hBOOL(P))) # label(help_fNot_1_1_U) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 852 (all P (hBOOL(P) | hBOOL(hAPP_bool_bool(fNot,P)))) # label(help_fNot_2_1_U) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 853 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_fTrue_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 854 (all X all Y (is_bool(X) & is_bool(Y) -> -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fequal_bool,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__HOL__Obool_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 855 (all X all Y (X != Y | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fequal_bool,X),Y)))) # label(help_fequal_2_1_fequal_000tc__HOL__Obool_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 856 (all P all Q all R hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1172769267l_bool(cOMBB_bool_bool_bool,P),Q),R) = hAPP_bool_bool(P,hAPP_bool_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__HOL__Obool_U) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 857 (all P all Q all R hAPP_bool_bool(hAPP_b589554111l_bool(hAPP_f1897201897l_bool(cOMBC_bool_bool_bool,P),Q),R) = hAPP_bool_bool(hAPP_b589554111l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__HOL__Obool_000tc__HOL__Obool_000tc__HOL__Obool_U) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 858 (all X all Y (is_Arr723427730le_alt(X) & is_Arr723427730le_alt(Y) -> -hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(fequal21574094le_alt,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 859 (all X all Y (X != Y | hBOOL(hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(fequal21574094le_alt,X),Y)))) # label(help_fequal_2_1_fequal_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 860 (all X all Y (is_Arr859726945e_indi(X) & is_Arr859726945e_indi(Y) -> -hBOOL(hAPP_A416869060i_bool(hAPP_A1609075839i_bool(fequal2012472101e_indi,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 861 (all X all Y (X != Y | hBOOL(hAPP_A416869060i_bool(hAPP_A1609075839i_bool(fequal2012472101e_indi,X),Y)))) # label(help_fequal_2_1_fequal_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_T) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 862 (all P all Q (is_bool(P) -> hAPP_A1120018583t_bool(hAPP_b287951269t_bool(cOMBK_507931254le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 863 (all P all Q (is_bool(P) -> hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl_087) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 864 (all X all Y (-hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(fequal1028827333le_alt,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wy) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 865 (all X all Y (X != Y | hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(fequal1028827333le_alt,X),Y)))) # label(help_fequal_2_1_fequal_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wy) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 866 (all P all Q all R hAPP_A1120018583t_bool(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,P),Q),R) = hAPP_bool_bool(P,hAPP_A1120018583t_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Arrow____Order__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 867 (all P all Q all R hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f1765349427i_bool(cOMBB_1957128648e_indi,P),Q),R) = hAPP_bool_bool(P,hAPP_A416869060i_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Arrow____Order___088) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 868 (all X all Y (is_Pro1004667236le_alt(X) & is_Pro1004667236le_alt(Y) -> -hBOOL(hAPP_P1813625415t_bool(hAPP_P1999019327t_bool(fequal1881358376le_alt,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 869 (all X all Y (X != Y | hBOOL(hAPP_P1813625415t_bool(hAPP_P1999019327t_bool(fequal1881358376le_alt,X),Y)))) # label(help_fequal_2_1_fequal_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmt) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 870 (all P all Q all R hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,P),Q),R) = hAPP_A1120018583t_bool(hAPP_A1781286015t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 871 (all P all Q all R hAPP_A416869060i_bool(hAPP_A1609075839i_bool(hAPP_f791932009i_bool(cOMBC_553632464i_bool,P),Q),R) = hAPP_A416869060i_bool(hAPP_A1609075839i_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 872 (all P all Q (is_bool(P) -> hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 873 (all X all Y (is_fun20916972t_bool(X) & is_fun20916972t_bool(Y) -> -hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(fequal318101288t_bool,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 874 (all X all Y (X != Y | hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(fequal318101288t_bool,X),Y)))) # label(help_fequal_2_1_fequal_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 875 (all X all Y hAPP_P2096362161le_alt(hAPP_P1891191097le_alt(if_Pro1659200999le_alt(fTrue),X),Y) = X) # label(help_If_1_1_If_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 876 (all X all Y hAPP_P2096362161le_alt(hAPP_P1891191097le_alt(if_Pro1659200999le_alt(fFalse),X),Y) = Y) # label(help_If_2_1_If_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 877 (all P (is_bool(P) -> P = fTrue | P = fFalse)) # label(help_If_3_1_If_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabelle____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 878 (all P all Q all R hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f2063770867t_bool(cOMBB_1860605643le_alt,P),Q),R) = hAPP_bool_bool(P,hAPP_P1813625415t_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__Arrow_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 879 (all X all Y (-hBOOL(hAPP_P1373277879t_bool(hAPP_P1133336895t_bool(fequal1025934616le_alt,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirab) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 880 (all X all Y (X != Y | hBOOL(hAPP_P1373277879t_bool(hAPP_P1133336895t_bool(fequal1025934616le_alt,X),Y)))) # label(help_fequal_2_1_fequal_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirab) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 881 (all P all Q all R hAPP_n2108195705le_alt(hAPP_l1244209582le_alt(hAPP_f1660378693le_alt(cOMBC_1158490499le_alt,P),Q),R) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__List__Olist_Itc__Arrow____Order____) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 882 (all P all Q (is_bool(P) -> hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 883 (all P all Q (is_fun_bool_bool(P) -> hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 884 (all P all Q (is_fun20916972t_bool(P) -> hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 885 (all P all Q all R hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f2007076633l_bool(cOMBB_1517321413t_bool,P),Q),R) = hAPP_bool_bool(P,hAPP_f1733357041l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__prod_It) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 886 (all P all Q (is_fun_bool_bool(P) -> hAPP_f812095627l_bool(hAPP_f2062029545l_bool(cOMBK_753699544t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 887 (all P all Q (is_fun1420103068l_bool(P) -> hAPP_b805997823l_bool(hAPP_f118515775l_bool(cOMBK_1028572856l_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 888 (all P all Q all R hAPP_P1373277879t_bool(hAPP_f2073680917t_bool(hAPP_f2036795507t_bool(cOMBB_1957338939le_alt,P),Q),R) = hAPP_bool_bool(P,hAPP_P1373277879t_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__List__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 889 (all P all Q (is_fun1651000642t_bool(P) -> hAPP_P1116266031t_bool(hAPP_f342341961t_bool(cOMBK_980874600le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 890 (all P all Q (is_fun20916972t_bool(P) -> hAPP_A1014090479t_bool(hAPP_f102394819t_bool(cOMBK_78615028le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_089) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 891 (all P all Q all R hAPP_A1849759038le_alt(hAPP_l1693669363le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,P),Q),R) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_090) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 892 (all P all Q (is_fun2015243113i_bool(P) -> hAPP_P957402556i_bool(hAPP_f3439105i_bool(cOMBK_520250367le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___091) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 893 (all P all Q (is_fun20916972t_bool(P) -> hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_092) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 894 (all P all Q hAPP_A1660609715le_alt(hAPP_f921948995le_alt(cOMBK_1825575856le_alt,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabell) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 895 (all X all Y (is_fun1264457267t_bool(X) & is_fun1264457267t_bool(Y) -> -hBOOL(hAPP_f1378099862l_bool(hAPP_f1901083135l_bool(fequal1289369847t_bool,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 896 (all X all Y (X != Y | hBOOL(hAPP_f1378099862l_bool(hAPP_f1901083135l_bool(fequal1289369847t_bool,X),Y)))) # label(help_fequal_2_1_fequal_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 897 (all P all Q all R hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,P),Q),R) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_093) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 898 (all P all Q all R hAPP_l372964747le_alt(hAPP_l1390889510le_alt(hAPP_f268020663le_alt(cOMBC_168079159le_alt,P),Q),R) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 899 (all P all Q (is_fun1651000642t_bool(P) -> hAPP_f1068593625t_bool(hAPP_f391873743t_bool(cOMBK_339579368t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___094) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 900 (all P all Q (is_fun1420103068l_bool(P) -> hAPP_A433435097l_bool(hAPP_f1954218281l_bool(cOMBK_549130676le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_095) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 901 (all P all Q (is_bool(P) -> hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 902 (all P all Q (is_fun2015243113i_bool(P) -> hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___096) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 903 (all P all Q (is_fun1420103068l_bool(P) -> hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_097) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 904 (all P all Q all R hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f2048491699l_bool(cOMBB_1376111258t_bool,P),Q),R) = hAPP_bool_bool(P,hAPP_f1378099862l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Arrow__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 905 (all P all Q (is_fun_bool_bool(P) -> hAPP_f591334822l_bool(hAPP_f498119908l_bool(cOMBK_874213703t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_098) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 906 (all P all Q (is_fun701126715l_bool(P) -> hAPP_b1461182872l_bool(hAPP_f1768325679l_bool(cOMBK_391161927l_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 907 (all P all Q all R hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,P),Q),R) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_099) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 908 (all P all Q all R hAPP_P1813625415t_bool(hAPP_P1999019327t_bool(hAPP_f1381403369t_bool(cOMBC_518322134t_bool,P),Q),R) = hAPP_P1813625415t_bool(hAPP_P1999019327t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 909 (all P all Q all R hAPP_l300482276t_bool(hAPP_f4315714t_bool(hAPP_f921250311t_bool(cOMBC_1827582133l_bool,P),Q),R) = hAPP_f890578273l_bool(hAPP_l1493471510l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_100) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 910 (all P all Q all R hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,P),Q),R) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_101) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 911 (all P all Q all R hAPP_A1660609715le_alt(hAPP_f904937452le_alt(hAPP_f239458941le_alt(cOMBB_521986850le_alt,P),Q),R) = hAPP_l1390889510le_alt(P,hAPP_A1849759038le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 912 (all P all Q (is_fun1651000642t_bool(P) -> hAPP_f3167870t_bool(hAPP_f1698272152t_bool(cOMBK_242036279t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___102) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 913 (all P all Q (is_fun701126715l_bool(P) -> hAPP_A1745457982l_bool(hAPP_f1973254019l_bool(cOMBK_1744976613le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl_103) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 914 (all P all Q (is_fun2015243113i_bool(P) -> hAPP_f1570138413i_bool(hAPP_f1274922098i_bool(cOMBK_948333518t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___104) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 915 (all P all Q (is_fun701126715l_bool(P) -> hAPP_A701636433l_bool(hAPP_f1932802664l_bool(cOMBK_1217667022e_indi,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl_105) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 916 (all P all Q (is_fun20916972t_bool(P) -> hAPP_P651748559t_bool(hAPP_f1737373975t_bool(cOMBK_1925322610le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_106) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 917 (all P all Q hAPP_P1436281263t_bool(hAPP_f2022891751t_bool(cOMBK_1634281074le_alt,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 918 (all P all Q all R hAPP_l591780830le_alt(hAPP_f1216999144le_alt(hAPP_f879032165le_alt(cOMBB_1303549321le_alt,P),Q),R) = hAPP_l591780830le_alt(P,hAPP_l372964747le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_107) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 919 (all P all Q all R hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(hAPP_f574303429l_bool(cOMBC_906425754l_bool,P),Q),R) = hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 920 (all P all Q all R hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,P),Q),R) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_108) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 921 (all P all Q (is_fun1420103068l_bool(P) -> hAPP_P467353593l_bool(hAPP_f905851705l_bool(cOMBK_740566962le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_109) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 922 (all P all Q hAPP_f1681297285t_bool(hAPP_f684471657t_bool(cOMBK_509674590t_bool,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order___110) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 923 (all P all Q all R hAPP_P1373277879t_bool(hAPP_P1133336895t_bool(hAPP_f1542885353t_bool(cOMBC_1094121654t_bool,P),Q),R) = hAPP_P1373277879t_bool(hAPP_P1133336895t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 924 (all P all Q all R hAPP_A433435097l_bool(hAPP_f1656652505l_bool(hAPP_f1585690341l_bool(cOMBB_711698847le_alt,P),Q),R) = hAPP_P1151433609l_bool(P,hAPP_A1561816353le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 925 (all P all Q all R hAPP_l2066632447t_bool(hAPP_f1895633847t_bool(hAPP_f1997384703t_bool(cOMBC_1696964078t_bool,P),Q),R) = hAPP_f4315714t_bool(hAPP_l2144750563t_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_111) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 926 (all X all Y (is_fun48324065t_bool(X) & is_fun48324065t_bool(Y) -> -hBOOL(hAPP_f446648900l_bool(hAPP_f656614015l_bool(fequal547890341t_bool,X),Y)) | X = Y)) # label(help_fequal_1_1_fequal_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____w) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 927 (all X all Y (X != Y | hBOOL(hAPP_f446648900l_bool(hAPP_f656614015l_bool(fequal547890341t_bool,X),Y)))) # label(help_fequal_2_1_fequal_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____w) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 928 (all P all Q (is_bool(P) -> hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 929 (all P all Q (is_fun1420103068l_bool(P) -> hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_112) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 930 (all P all Q all R hAPP_l1148780281le_alt(hAPP_f670565125le_alt(hAPP_f1124725731le_alt(cOMBB_1236261828le_alt,P),Q),R) = hAPP_l1148780281le_alt(P,hAPP_l372964747le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_113) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 931 (all P all Q all R hAPP_l591780830le_alt(hAPP_f1427069397le_alt(hAPP_f1928725626le_alt(cOMBS_1626428525le_alt,P),Q),R) = hAPP_P2096362161le_alt(hAPP_l1791846092le_alt(P,R),hAPP_l591780830le_alt(Q,R))) # label(help_COMBS_1_1_COMBS_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 932 (all P all Q (is_fun701126715l_bool(P) -> hAPP_P2049543454l_bool(hAPP_f978113205l_bool(cOMBK_1549622337le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl_114) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 933 (all P all Q hAPP_f1329247136t_bool(hAPP_f303195352t_bool(cOMBK_1264040257t_bool,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order___115) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 934 (all P all Q all R hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f920654899l_bool(cOMBB_410960200t_bool,P),Q),R) = hAPP_bool_bool(P,hAPP_f446648900l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 935 (all P all Q (is_fun_bool_bool(P) -> hAPP_f721327224l_bool(hAPP_f1459432374l_bool(cOMBK_1068969205t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_116) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 936 (all P all Q (is_fun292781289l_bool(P) -> hAPP_b651754310l_bool(hAPP_f1756719499l_bool(cOMBK_1377637877l_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 937 (all P all Q all R hAPP_f1378099862l_bool(hAPP_f1901083135l_bool(hAPP_f576161641l_bool(cOMBC_1887456628l_bool,P),Q),R) = hAPP_f1378099862l_bool(hAPP_f1901083135l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 938 (all P all Q all R hAPP_l1493471510l_bool(hAPP_f622637325l_bool(hAPP_f1224738111l_bool(cOMBB_1407335828le_alt,P),Q),R) = hAPP_P2032392041l_bool(P,hAPP_l591780830le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabel) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 939 (all P all Q (is_fun1651000642t_bool(P) -> hAPP_f1741989420t_bool(hAPP_f1300833606t_bool(cOMBK_1961253349t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___117) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 940 (all P all Q (is_fun292781289l_bool(P) -> hAPP_A990651116l_bool(hAPP_f1136405251l_bool(cOMBK_1435997879le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_118) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 941 (all P all Q (is_fun2015243113i_bool(P) -> hAPP_f783549695i_bool(hAPP_f1377869636i_bool(cOMBK_1847391868t_bool,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___119) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 942 (all P all Q (is_fun292781289l_bool(P) -> hAPP_A955165183l_bool(hAPP_f206814660l_bool(cOMBK_472365180e_indi,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_120) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 943 (all P all Q all R hAPP_l1148780281le_alt(hAPP_f670565125le_alt(hAPP_f351228915le_alt(cOMBC_72147604le_alt,P),Q),R) = hAPP_f1216999144le_alt(hAPP_l486475401le_alt(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_121) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 944 (all P all Q all R hAPP_A643475905l_bool(hAPP_f1747206697l_bool(hAPP_f274832101l_bool(cOMBB_885534287le_alt,P),Q),R) = hAPP_f1656652505l_bool(P,hAPP_A1171966089le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 945 (all P all Q all R hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(hAPP_f2020174441t_bool(cOMBB_930893948e_indi,P),Q),R) = hAPP_f684072049t_bool(P,hAPP_A340536322t_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 946 (all P all Q all R hAPP_A64811457t_bool(hAPP_f1092358369t_bool(hAPP_f1682340965t_bool(cOMBB_333235735le_alt,P),Q),R) = hAPP_f372913425t_bool(P,hAPP_A643475905l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___122) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 947 (all P all Q (is_fun292781289l_bool(P) -> hAPP_P1533476044l_bool(hAPP_f1197671953l_bool(cOMBK_165199855le_alt,P),Q) = P)) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_123) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 948 (all P all Q hAPP_f1114489970t_bool(hAPP_f1228246954t_bool(cOMBK_906927855t_bool,P),Q) = P) # label(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Arrow____Order___124) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 949 (all P all Q all R hAPP_l1148780281le_alt(hAPP_f794134621le_alt(hAPP_f2122335314le_alt(cOMBS_1569784209le_alt,P),Q),R) = hAPP_f1427069397le_alt(hAPP_l486097526le_alt(P,R),hAPP_l1148780281le_alt(Q,R))) # label(help_COMBS_1_1_COMBS_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wyls_125) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 950 (all P all Q all R hAPP_l1791846092le_alt(hAPP_f1291634731le_alt(hAPP_f1654251593le_alt(cOMBB_1675847172le_alt,P),Q),R) = hAPP_P1891191097le_alt(P,hAPP_l591780830le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Arrow____Order____Mirabel_126) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 951 (all P all Q all R hAPP_l1748807729l_bool(hAPP_f1893731349l_bool(hAPP_f1418100887l_bool(cOMBB_1150645560le_alt,P),Q),R) = hAPP_f622637325l_bool(P,hAPP_l1148780281le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabell) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 952 (all P all Q all R hAPP_l2144750563t_bool(hAPP_f1837837439t_bool(hAPP_f1503353479t_bool(cOMBB_1326560562le_alt,P),Q),R) = hAPP_f921250311t_bool(P,hAPP_l1748807729l_bool(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabell_127) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 953 (all P all Q all R hAPP_l486475401le_alt(hAPP_f593033837le_alt(hAPP_f332249751le_alt(cOMBB_96247696le_alt,P),Q),R) = hAPP_f879032165le_alt(P,hAPP_l1148780281le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabell_128) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 954 (all P all Q all R hAPP_l436896263le_alt(hAPP_f1504748473le_alt(hAPP_f1949171529le_alt(cOMBB_215060470le_alt,P),Q),R) = hAPP_f1291634731le_alt(P,hAPP_l1148780281le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabell_129) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 955 (all P all Q all R hAPP_f446648900l_bool(hAPP_f656614015l_bool(hAPP_f1031027817l_bool(cOMBC_921123792l_bool,P),Q),R) = hAPP_f446648900l_bool(hAPP_f656614015l_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 956 (all P all Q all R hAPP_l486097526le_alt(hAPP_f310101886le_alt(hAPP_f1558754397le_alt(cOMBB_1988247237le_alt,P),Q),R) = hAPP_f1928725626le_alt(P,hAPP_l436896263le_alt(Q,R))) # label(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__Arrow____Order____Mirabell_130) # label(axiom) # label(non_clause). [assumption].
% 1.48/1.84 957 -(all I (is_Arr859726945e_indi(I) -> (hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,I))) <-> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,I)),c),b)))))) # label(conj_0) # label(negated_conjecture) # label(non_clause). [assumption].
% 1.48/1.84
% 1.48/1.84 ============================== end of process non-clausal formulas ===
% 3.30/3.57
% 3.30/3.57 ============================== PROCESS INITIAL CLAUSES ===============
% 3.30/3.57
% 3.30/3.57 ============================== PREDICATE ELIMINATION =================
% 3.30/3.57
% 3.30/3.57 ============================== end predicate elimination =============
% 3.30/3.57
% 3.30/3.57 Auto_denials: (non-Horn, no changes).
% 3.30/3.57
% 3.30/3.57 Term ordering decisions:
% 3.30/3.57 Function symbol KB weights: member720722004le_alt=1. member1373125444le_alt=1. cons_A77766063le_alt=1. produc1456060119le_alt=1. produc2031778509le_alt=1. nil_Ar1135217151le_alt=1. append28105492le_alt=1. member1704306684t_bool=1. member1265098019t_bool=1. member1619170513t_bool=1. member694465108le_alt=1. produc1707341143le_alt=1. member2080870050le_alt=1. cons_l882637220le_alt=1. member161528657e_indi=1. member_bool=1. ord_less_nat=1. arrow_583275979e_Prof=1. arrow_912654623le_Lin=1. lexord807118444le_alt=1. listre1913026136le_alt=1. ord_less_eq_nat=1. fNot=1. listre1769678631le_alt=1. listre868094907le_alt=1. distin85347314le_alt=1. lexord717456039le_alt=1. listre870705708le_alt=1. arrow_207701375_below=1. f=1. nil_li7342420le_alt=1. lexord1008325386le_alt=1. lexord1145600903t_bool=1. lexord1692326342t_bool=1. lexord1918670343e_indi=1. lexord373145049t_bool=1. lexord_bool=1. member1058364180t_bool=1. member1353676180le_alt=1. member1477971960t_bool=1. member200634580t_bool=1. member912023252e_indi=1. member976989780t_bool=1. produc1067887767t_bool=1. produc1134856577t_bool=1. produc1787549079le_alt=1. produc1849892183e_indi=1. produc436944087t_bool=1. produc49085783t_bool=1. append1413540863le_alt=1. arrow_885770895le_IIA=1. append1735936098le_alt=1. append2131097198t_bool=1. append352340785t_bool=1. append1480696031t_bool=1. append968919903e_indi=1. append_bool=1. b=1. cOMBK_1918246033t_bool=1. top_to846262053l_bool=1. top_top_bool=1. a=1. lex_Ar1264540259le_alt=1. lexord170366202le_alt=1. member1024929995t_bool=1. member104322770t_bool=1. member1194332074t_bool=1. member1258284266t_bool=1. member1402889547l_bool=1. member1423816203t_bool=1. member1464733303le_alt=1. member1618799570e_indi=1. member1687274886le_alt=1. member1805745300le_alt=1. member1935624595e_indi=1. member1953881075le_alt=1. member2021375116l_bool=1. member2074697974le_alt=1. member2142449782le_alt=1. member219620739le_alt=1. member220564739e_indi=1. member234310528e_indi=1. member300433020le_alt=1. member385159430le_alt=1. member39203141le_alt=1. member442467260le_alt=1. member48503289l_bool=1. member567993161le_alt=1. member689634176t_bool=1. member821152697t_bool=1. member930088569t_bool=1. produc499297815le_alt=1. append1768277586le_alt=1. arrow_1486210539le_alt=1. arrow_1549387998ctator=1. fTrue=1. top_to1849101472l_bool=1. top_to186242507t_bool=1. top_to207207712i_bool=1. top_to935749874l_bool=1. arrow_1550141362nimity=1. drop_A1195732799le_alt=1. top_to1773227171t_bool=1. equal_732151074le_alt=1. lex_li910676976le_alt=1. member1097202038le_alt=1. member1712829811t_bool=1. member1770643824t_bool=1. member30324165t_bool=1. p=1. c=1. cons_P272751751le_alt=1. cons_f160345174t_bool=1. cons_f476294153t_bool=1. fequal21574094le_alt=1. cOMBB_930893948e_indi=1. cOMBC_1377016489t_bool=1. cOMBC_325526267t_bool=1. cOMBK_350223551e_indi=1. cons_bool=1. null_A1369988103le_alt=1. top_to1647826457l_bool=1. cOMBB_966447723le_alt=1. cOMBC_2032358938t_bool=1. cOMBK_1673635960le_alt=1. cOMBK_776703103e_indi=1. cons_A920022916e_indi=1. cons_P1245424375le_alt=1. cons_f1113423620t_bool=1. distin135982852le_alt=1. distin1906002420le_alt=1. distin26300929e_indi=1. distin526492627t_bool=1. distin751056204t_bool=1. distin943033217t_bool=1. distinct_bool=1. fequal1025934616le_alt=1. fequal1289369847t_bool=1. fequal1881358376le_alt=1. fequal2012472101e_indi=1. fequal318101288t_bool=1. fequal547890341t_bool=1. fequal_bool=1. bool=1. cOMBB_1376111258t_bool=1. cOMBB_1517321413t_bool=1. cOMBB_1860605643le_alt=1. cOMBB_1957128648e_indi=1. cOMBB_1957338939le_alt=1. cOMBB_410960200t_bool=1. cOMBB_bool_bool_bool=1. cOMBC_1094121654t_bool=1. cOMBC_1887456628l_bool=1. cOMBC_518322134t_bool=1. cOMBC_553632464i_bool=1. cOMBC_906425754l_bool=1. cOMBC_921123792l_bool=1. cOMBC_bool_bool_bool=1. cOMBK_1028572856l_bool=1. cOMBK_1068969205t_bool=1. cOMBK_1217667022e_indi=1. cOMBK_1264040257t_bool=1. cOMBK_1377637877l_bool=1. cOMBK_1399131793t_bool=1. cOMBK_1435997879le_alt=1. cOMBK_1634281074le_alt=1. cOMBK_1685845624l_bool=1. cOMBK_1744976613le_alt=1. cOMBK_1847391868t_bool=1. cOMBK_1961253349t_bool=1. cOMBK_242036279t_bool=1. cOMBK_339579368t_bool=1. cOMBK_391161927l_bool=1. cOMBK_472365180e_indi=1. cOMBK_509674590t_bool=1. cOMBK_520250367le_alt=1. cOMBK_549130676le_alt=1. cOMBK_753699544t_bool=1. cOMBK_78615028le_alt=1. cOMBK_874213703t_bool=1. cOMBK_906927855t_bool=1. cOMBK_948333518t_bool=1. cOMBK_980874600le_alt=1. cOMBK_1549622337le_alt=1. cOMBK_165199855le_alt=1. cOMBK_1925322610le_alt=1. cOMBK_740566962le_alt=1. fFalse=1. fequal1028827333le_alt=1. p_1=1. top_to818291475t_bool=1. arrow_132732488e_indi=1. cOMBB_1150645560le_alt=1. cOMBB_1326560562le_alt=1. cOMBB_1407335828le_alt=1. cOMBB_333235735le_alt=1. cOMBB_711698847le_alt=1. cOMBB_885534287le_alt=1. cOMBC_1169281096le_alt=1. cOMBC_168079159le_alt=1. cOMBC_1696964078t_bool=1. cOMBC_1827582133l_bool=1. cOMBC_441619036t_bool=1. cOMBC_943734388l_bool=1. member1765007528t_bool=1. member205384452t_bool=1. member2100323796t_bool=1. member258426884e_indi=1. member624253174l_bool=1. member852432522le_alt=1. member985525226le_alt=1. produc1246214911l_bool=1. produc1802651735t_bool=1. produc2070216205e_indi=1. produc218110963le_alt=1. produc744410643le_alt=1. produc882973453t_bool=1. produc999701681t_bool=1. cOMBB_1236261828le_alt=1. cOMBB_1303549321le_alt=1. cOMBB_1675847172le_alt=1. cOMBB_1988247237le_alt=1. cOMBB_215060470le_alt=1. cOMBB_521986850le_alt=1. cOMBB_96247696le_alt=1. cOMBC_1158490499le_alt=1. cOMBC_72147604le_alt=1. cOMBK_1391252605e_indi=1. cOMBK_1733734784le_alt=1. cOMBK_1825575856le_alt=1. cOMBK_507931254le_alt=1. cOMBK_577652221t_bool=1. cOMBK_715978704t_bool=1. cOMBK_776847951t_bool=1. cOMBS_1569784209le_alt=1. cOMBS_1626428525le_alt=1. nil_Ar637146932e_indi=1. nil_Pr1368032311le_alt=1. nil_Pr1710246567le_alt=1. nil_bool=1. nil_fu1180010164t_bool=1. nil_fu1714546777t_bool=1. nil_fu247759878t_bool=1. drop_A1853358580e_indi=1. drop_P1440509687le_alt=1. drop_P635442535le_alt=1. drop_bool=1. drop_f1274868084t_bool=1. drop_f1584869062t_bool=1. drop_f1849462169t_bool=1. member1245674225le_alt=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. hAPP_l372964747le_alt=1. hAPP_f1733357041l_bool=1. hAPP_P1151433609l_bool=1. hAPP_f890578273l_bool=1. hAPP_P2032392041l_bool=1. hAPP_A1561816353le_alt=1. hAPP_A1660609715le_alt=1. hAPP_A1171966089le_alt=1. hAPP_l1148780281le_alt=1. hAPP_l591780830le_alt=1. hAPP_l1390889510le_alt=1. hAPP_f560517119l_bool=1. hAPP_f1332197581l_bool=1. hAPP_f147218624l_bool=1. hAPP_f621397159l_bool=1. hAPP_f1681297285t_bool=1. hAPP_f322109294l_bool=1. hAPP_f881677315l_bool=1. hAPP_l300482276t_bool=1. hAPP_nat_bool=1. hAPP_n1699378549t_bool=1. hAPP_l1425181461le_alt=1. hAPP_f2099712241l_bool=1. hAPP_P142941065l_bool=1. hAPP_f664322981t_bool=1. hAPP_l2112442743le_alt=1. hAPP_l400262709le_alt=1. hAPP_f87553445l_bool=1. hAPP_A86021709l_bool=1. hAPP_f160177134l_bool=1. hAPP_f387058535l_bool=1. hAPP_l1663319606le_alt=1. hAPP_A45661955l_bool=1. hAPP_b1787118453l_bool=1. hAPP_P1813625415t_bool=1. hAPP_A1014090479t_bool=1. hAPP_A1120018583t_bool=1. hAPP_A340536322t_bool=1. hAPP_f1817389232t_bool=1. hAPP_f446648900l_bool=1. hAPP_l2066632447t_bool=1. pi_fun1555365306t_bool=1. hAPP_P1373277879t_bool=1. pi_Pro1873779901t_bool=1. hAPP_A1781286015t_bool=1. hAPP_A416869060i_bool=1. takeWh1545314552le_alt=1. pi_Arr1801471756t_bool=1. dropWh1165804960le_alt=1. hAPP_l1130749077t_bool=1. hAPP_l342779967t_bool=1. hAPP_l850073941le_alt=1. hAPP_f1378099862l_bool=1. hAPP_bool_bool=1. hAPP_f1140617841l_bool=1. hAPP_f1342253361l_bool=1. hAPP_f1422872597l_bool=1. hAPP_f1456773233l_bool=1. hAPP_f263022001l_bool=1. hAPP_f288803825l_bool=1. hAPP_l1189022293t_bool=1. hAPP_P173682825l_bool=1. hAPP_P1870454025l_bool=1. hAPP_P328558801l_bool=1. hAPP_P585301513l_bool=1. hAPP_P776750217l_bool=1. hAPP_P981043081l_bool=1. hAPP_f1114274611l_bool=1. hAPP_f2031254713l_bool=1. hAPP_f357296741l_bool=1. hAPP_f363884353l_bool=1. hAPP_f695049061i_bool=1. hAPP_f846944031t_bool=1. hAPP_l1064263321t_bool=1. hAPP_l1149974805t_bool=1. hAPP_l1242238295t_bool=1. hAPP_l131013165t_bool=1. hAPP_l1349316624t_bool=1. hAPP_l1484722549e_indi=1. hAPP_l1557274901e_indi=1. hAPP_l1784712821t_bool=1. hAPP_l2129529815e_indi=1. hAPP_l218095399t_bool=1. hAPP_l309028378le_alt=1. hAPP_l607015721t_bool=1. hAPP_l794402875le_alt=1. hAPP_l839073004t_bool=1. hAPP_l1626273389le_alt=1. hAPP_A28770973t_bool=1. hAPP_f684072049t_bool=1. hAPP_l182884309le_alt=1. hAPP_f783549695i_bool=1. arrow_1046586475_above=1. hAPP_l1392153600t_bool=1. hAPP_l1438053435t_bool=1. hAPP_l595508106le_alt=1. hAPP_A630236912t_bool=1. hAPP_b763490121t_bool=1. hAPP_f633903640l_bool=1. hAPP_l1032792973t_bool=1. hAPP_l1947611924t_bool=1. hAPP_l203258125e_indi=1. hAPP_f1021828400l_bool=1. hAPP_f1094272486l_bool=1. hAPP_f1134444118l_bool=1. hAPP_f1138659662l_bool=1. hAPP_f1291635206l_bool=1. hAPP_f1484382710l_bool=1. hAPP_f1518247545l_bool=1. hAPP_f1898839893l_bool=1. hAPP_f2016919811l_bool=1. hAPP_f2053170815l_bool=1. hAPP_f2078996785l_bool=1. hAPP_f2129568089l_bool=1. hAPP_f2140553640l_bool=1. hAPP_f270557859l_bool=1. hAPP_f412569108l_bool=1. hAPP_f437011961l_bool=1. hAPP_f505027144l_bool=1. hAPP_f560261801l_bool=1. hAPP_f620747982l_bool=1. hAPP_f640821677l_bool=1. hAPP_f740740988l_bool=1. hAPP_f742658307l_bool=1. hAPP_f750478076l_bool=1. hAPP_f784749731l_bool=1. hAPP_f817344902l_bool=1. hAPP_f882250837l_bool=1. hAPP_f937100551l_bool=1. hAPP_P1085061129l_bool=1. hAPP_P651748559t_bool=1. hAPP_f1063991245l_bool=1. hAPP_f1101355639l_bool=1. hAPP_f1136111951l_bool=1. hAPP_f1140532045l_bool=1. hAPP_f1140553229l_bool=1. hAPP_f1171266041l_bool=1. hAPP_f1234917389l_bool=1. hAPP_f1325762381l_bool=1. hAPP_f1338606733l_bool=1. hAPP_f1387788301l_bool=1. hAPP_f1475191373l_bool=1. hAPP_f1518101645l_bool=1. hAPP_f1836999501l_bool=1. hAPP_f1880077555l_bool=1. hAPP_f1894818957l_bool=1. hAPP_f2022872455l_bool=1. hAPP_f2087408397l_bool=1. hAPP_f2134766349l_bool=1. hAPP_f304790207t_bool=1. hAPP_f452450509l_bool=1. hAPP_f599048525l_bool=1. hAPP_f635489773l_bool=1. hAPP_f731818989l_bool=1. hAPP_f749156301l_bool=1. hAPP_f840347317l_bool=1. hAPP_f850619859l_bool=1. hAPP_f884817497l_bool=1. hAPP_l1556767370le_alt=1. hAPP_l1615793307le_alt=1. pi_Arr1064242500le_alt=1. pi_Arr1120237736t_bool=1. pi_Arr1752452453t_bool=1. pi_Arr425730554t_bool=1. pi_Arr656802323t_bool=1. pi_Arr742795713t_bool=1. pi_Arr914263595le_alt=1. pi_Pro222743023le_alt=1. pi_Pro368504503le_alt=1. pi_Pro58544964e_indi=1. pi_boo1542163389le_alt=1. pi_boo1746012499t_bool=1. pi_boo679625100t_bool=1. pi_boo68262458t_bool=1. pi_fun1083455072le_alt=1. pi_fun1110020102le_alt=1. pi_fun1197906993le_alt=1. pi_fun1236347660l_bool=1. pi_fun1353458625e_indi=1. pi_fun158009906le_alt=1. pi_fun187048122l_bool=1. pi_fun268174099e_indi=1. pi_fun404660213le_alt=1. pi_fun481655732le_alt=1. pi_fun568395771l_bool=1. pi_fun596906370e_indi=1. takeWh1088896635e_indi=1. takeWh1268567035t_bool=1. takeWh1813199437t_bool=1. takeWh572506194t_bool=1. takeWh808795006le_alt=1. takeWhile_bool=1. hAPP_l2076130586le_alt=1. dropWh1122107731t_bool=1. dropWh1186971862le_alt=1. dropWh1417102291e_indi=1. dropWh193383674t_bool=1. dropWh2056378277t_bool=1. dropWhile_bool=1. hAPP_f1488127117l_bool=1. hAPP_f2031902329l_bool=1. hAPP_f2139503478l_bool=1. hAPP_f404365000l_bool=1. hAPP_n344665784le_alt=1. takeWh768831342le_alt=1. hAPP_A1609075839i_bool=1. hAPP_P1999019327t_bool=1. hAPP_b589554111l_bool=1. hAPP_f1070625729l_bool=1. hAPP_f115737741l_bool=1. hAPP_f1344932147l_bool=1. hAPP_f1901083135l_bool=1. hAPP_f4855309l_bool=1. hAPP_f656614015l_bool=1. hAPP_f772908877l_bool=1. pi_Pro1560469721t_bool=1. pi_Pro1742482359le_alt=1. pi_Pro519450164t_bool=1. pi_Pro54111110t_bool=1. dropWh1957015750le_alt=1. hAPP_A433435097l_bool=1. hAPP_P1133336895t_bool=1. hAPP_P465197523le_alt=1. hAPP_b1461182872l_bool=1. hAPP_b651754310l_bool=1. hAPP_b805997823l_bool=1. hAPP_f1068593625t_bool=1. hAPP_f1337535236t_bool=1. hAPP_f1916337549t_bool=1. replic1360561849le_alt=1. fun=1. hAPP_A1433148491t_bool=1. hAPP_A503573454le_alt=1. hAPP_A711952286t_bool=1. hAPP_A739031709t_bool=1. hAPP_A88621982t_bool=1. hAPP_P1645359566e_indi=1. hAPP_P1689126160t_bool=1. hAPP_P482525630t_bool=1. hAPP_P802532161le_alt=1. hAPP_P870295781le_alt=1. hAPP_b1482008903le_alt=1. hAPP_b327863236t_bool=1. hAPP_b821377302t_bool=1. hAPP_b994696797t_bool=1. hAPP_f1044120523t_bool=1. hAPP_f114580065t_bool=1. hAPP_f1273877800le_alt=1. hAPP_f1283454584e_indi=1. hAPP_f1287961430le_alt=1. hAPP_f1639180358l_bool=1. hAPP_f2020174441t_bool=1. hAPP_f2043811403e_indi=1. hAPP_f246757773t_bool=1. hAPP_f271508829t_bool=1. hAPP_f350403485e_indi=1. hAPP_f459545019le_alt=1. hAPP_f590186314t_bool=1. hAPP_f832306437t_bool=1. hAPP_l1642116416t_bool=1. hAPP_l1684828478l_bool=1. hAPP_l1936415565l_bool=1. hAPP_l4338847l_bool=1. hAPP_l479254477i_bool=1. hAPP_l548550096t_bool=1. hAPP_list_bool_bool=1. hAPP_A1745457982l_bool=1. hAPP_A273991894e_indi=1. hAPP_A659996934l_bool=1. hAPP_A701636433l_bool=1. hAPP_A955165183l_bool=1. hAPP_A990651116l_bool=1. hAPP_P1116266031t_bool=1. hAPP_P1122857141l_bool=1. hAPP_P1533476044l_bool=1. hAPP_P1576037953le_alt=1. hAPP_P2049543454l_bool=1. hAPP_P467353593l_bool=1. hAPP_P469465955le_alt=1. hAPP_P957402556i_bool=1. hAPP_f1028172757l_bool=1. hAPP_f1211148133t_bool=1. hAPP_f1282033109i_bool=1. hAPP_f137597973t_bool=1. hAPP_f1570138413i_bool=1. hAPP_f1643422699le_alt=1. hAPP_f1741989420t_bool=1. hAPP_f189058133l_bool=1. hAPP_f1895971544l_bool=1. hAPP_f3167870t_bool=1. hAPP_f431432850i_bool=1. hAPP_f444731198le_alt=1. hAPP_f574392641l_bool=1. hAPP_f591334822l_bool=1. hAPP_f597269334t_bool=1. hAPP_f597551504le_alt=1. hAPP_f719005683l_bool=1. hAPP_f721327224l_bool=1. hAPP_f812095627l_bool=1. hAPP_f961197973l_bool=1. insert1969589781le_alt=1. hAPP_P1436281263t_bool=1. hAPP_f102394819t_bool=1. hAPP_f1031027817l_bool=1. hAPP_f1077635369i_bool=1. hAPP_f1114489970t_bool=1. hAPP_f1136405251l_bool=1. hAPP_f1172769267l_bool=1. hAPP_f118515775l_bool=1. hAPP_f1228246954t_bool=1. hAPP_f1274922098i_bool=1. hAPP_f1300833606t_bool=1. hAPP_f1329247136t_bool=1. hAPP_f1377869636i_bool=1. hAPP_f1381403369t_bool=1. hAPP_f1459432374l_bool=1. hAPP_f1542885353t_bool=1. hAPP_f1698272152t_bool=1. hAPP_f1756719499l_bool=1. hAPP_f1765349427i_bool=1. hAPP_f1768325679l_bool=1. hAPP_f1897201897l_bool=1. hAPP_f1932802664l_bool=1. hAPP_f1954218281l_bool=1. hAPP_f1973254019l_bool=1. hAPP_f2007076633l_bool=1. hAPP_f2022891751t_bool=1. hAPP_f2036795507t_bool=1. hAPP_f2048491699l_bool=1. hAPP_f2062029545l_bool=1. hAPP_f2063770867t_bool=1. hAPP_f206814660l_bool=1. hAPP_f2073680917t_bool=1. hAPP_f303195352t_bool=1. hAPP_f342341961t_bool=1. hAPP_f3439105i_bool=1. hAPP_f391873743t_bool=1. hAPP_f498119908l_bool=1. hAPP_f574303429l_bool=1. hAPP_f576161641l_bool=1. hAPP_f581841297t_bool=1. hAPP_f684471657t_bool=1. hAPP_f791932009i_bool=1. hAPP_f920654899l_bool=1. product_prod=1. splice1369921490le_alt=1. hAPP_P2096362161le_alt=1. hAPP_f1098788115l_bool=1. hAPP_f1197671953l_bool=1. hAPP_f140107297l_bool=1. hAPP_f1508705733l_bool=1. hAPP_f1720639399l_bool=1. hAPP_f1737373975t_bool=1. hAPP_f1840820673t_bool=1. hAPP_f511649569l_bool=1. hAPP_f670565125le_alt=1. hAPP_f704486919l_bool=1. hAPP_f891725169l_bool=1. hAPP_f905851705l_bool=1. hAPP_f978113205l_bool=1. insert1409495663t_bool=1. insert1683711393le_alt=1. insert1731565726e_indi=1. insert22093680t_bool=1. insert531176721le_alt=1. insert897399838t_bool=1. insert_bool=1. partit1336600824le_alt=1. hAPP_A2054143614e_indi=1. hAPP_A785351481e_indi=1. hAPP_P1099469545l_bool=1. hAPP_P1109943007le_alt=1. hAPP_P1374173745l_bool=1. hAPP_P1435933929l_bool=1. hAPP_P1725284223le_alt=1. hAPP_P1891191097le_alt=1. hAPP_P1919864457l_bool=1. hAPP_P1992806581l_bool=1. hAPP_P29732487le_alt=1. hAPP_P626359285l_bool=1. hAPP_P738148045l_bool=1. hAPP_P937918807le_alt=1. hAPP_b1115999851l_bool=1. hAPP_b2048821609l_bool=1. hAPP_b2116075462i_bool=1. hAPP_b287951269t_bool=1. hAPP_f1092358369t_bool=1. hAPP_f1224738111l_bool=1. hAPP_f1265889019t_bool=1. hAPP_f1418100887l_bool=1. hAPP_f1503353479t_bool=1. hAPP_f1585690341l_bool=1. hAPP_f1596466233t_bool=1. hAPP_f1639289588t_bool=1. hAPP_f1682340965t_bool=1. hAPP_f1747206697l_bool=1. hAPP_f1785736029t_bool=1. hAPP_f18365135le_alt=1. hAPP_f1837837439t_bool=1. hAPP_f1893731349l_bool=1. hAPP_f1895633847t_bool=1. hAPP_f1997384703t_bool=1. hAPP_f1999636669t_bool=1. hAPP_f268020663le_alt=1. hAPP_f274832101l_bool=1. hAPP_f38433022t_bool=1. hAPP_f775987425t_bool=1. hAPP_l784127213t_bool=1. hAPP_A1202525278t_bool=1. hAPP_A1849759038le_alt=1. hAPP_A643475905l_bool=1. hAPP_A64811457t_bool=1. hAPP_A85603248t_bool=1. hAPP_f1124725731le_alt=1. hAPP_f1216999144le_alt=1. hAPP_f1291634731le_alt=1. hAPP_f1427069397le_alt=1. hAPP_f1472889102l_bool=1. hAPP_f1504748473le_alt=1. hAPP_f1558754397le_alt=1. hAPP_f1654251593le_alt=1. hAPP_f1656652505l_bool=1. hAPP_f1660378693le_alt=1. hAPP_f1928725626le_alt=1. hAPP_f1949171529le_alt=1. hAPP_f2122335314le_alt=1. hAPP_f239458941le_alt=1. hAPP_f310101886le_alt=1. hAPP_f332249751le_alt=1. hAPP_f351228915le_alt=1. hAPP_f372913425t_bool=1. hAPP_f4315714t_bool=1. hAPP_f593033837le_alt=1. hAPP_f622637325l_bool=1. hAPP_f794134621le_alt=1. hAPP_f879032165le_alt=1. hAPP_f904937452le_alt=1. hAPP_f921250311t_bool=1. hAPP_f921948995le_alt=1. hAPP_l1244209582le_alt=1. hAPP_l1493471510l_bool=1. hAPP_l1693669363le_alt=1. hAPP_l1748807729l_bool=1. hAPP_l1791846092le_alt=1. hAPP_l2144750563t_bool=1. hAPP_l436896263le_alt=1. hAPP_l486097526le_alt=1. hAPP_l486475401le_alt=1. hAPP_l508185643t_bool=1. lexn_A19384479le_alt=1. hAPP_l1197505987l_bool=1. hAPP_n2058955628t_bool=1. hAPP_n2099236808t_bool=1. hAPP_n2100915976le_alt=1. hAPP_n2108195705le_alt=1. hAPP_n323901960le_alt=1. hAPP_n479129736t_bool=1. hAPP_n568645704e_indi=1. hAPP_n587545160t_bool=1. f9=1. f19=1. f20=1. f21=1. f22=1. f27=1. f130=1. f131=1. f132=1. f133=1. f148=1. f149=1. f150=1. f151=1. f152=1. f153=1. f154=1. f172=1. f173=1. f192=1. f193=1. f194=1. f195=1. f196=1. f197=1. f198=1. f199=1. f224=1. f225=1. f269=1. f270=1. f271=1. f272=1. f273=1. f274=1. f275=1. f276=1. f277=1. suc=1. set_Ar426477344le_alt=1. set_Pr2031705942le_alt=1. set_bool=1. set_fu222164517t_bool=1. set_fu444796538t_bool=1. set_Ar1035526739e_indi=1. set_fu1433968595t_bool=1. rev_Ar955429983le_alt=1. set_Pr1756729158le_alt=1. butlas123970891le_alt=1. last_A1066338328le_alt=1. listre1062185049le_alt=1. size_s2106320494le_alt=1. produc278404511t_bool=1. hd_Arr1814706386le_alt=1. produc616221118t_bool=1. tl_Arr314474198le_alt=1. produc1802641557t_bool=1. rotate184372300le_alt=1. size_s101148091le_alt=1. arrow_163947511_mkbot=1. arrow_312654597_mktop=1. butlas1168145387le_alt=1. butlas1808913499le_alt=1. butlas1811107560e_indi=1. butlas217264037t_bool=1. butlas423814760t_bool=1. butlas813551546t_bool=1. butlast_bool=1. collec612883262t_bool=1. rev_Ar758908116e_indi=1. rev_Pr1722970583le_alt=1. rev_Pr816629831le_alt=1. rev_bool=1. rev_fu101184185t_bool=1. rev_fu313987494t_bool=1. rev_fu580432980t_bool=1. collec279390863e_indi=1. collec591097828le_alt=1. if_Pro1659200999le_alt=1. in_rel1361124802le_alt=1. produc930723380t_bool=1. collec1376511890le_alt=1. collec1517527055t_bool=1. collec1567922785t_bool=1. hd_Arr1280875809e_indi=1. hd_Pro804272676le_alt=1. hd_bool=1. hd_fun1289819809t_bool=1. hd_fun1937506860t_bool=1. hd_fun780865267t_bool=1. in_rel264468792le_alt=1. last_A560832347e_indi=1. last_P15572062le_alt=1. last_bool=1. last_f1172522866t_bool=1. last_f1921219373t_bool=1. last_f584510683t_bool=1. listre1064220282le_alt=1. order_1844940151le_alt=1. hd_Pro53798164le_alt=1. last_P1076199502le_alt=1. produc1250814607le_alt=1. set_li1879521523le_alt=1. tl_Arr282712093e_indi=1. tl_Pro1439282464le_alt=1. tl_Pro645285392le_alt=1. tl_bool=1. tl_fun1131179056t_bool=1. tl_fun1512606109t_bool=1. tl_fun542205423t_bool=1. undefi1052853330e_indi=1. undefi1471133025le_alt=1. undefi1522782549le_alt=1. undefi396693458t_bool=1. undefi426827556t_bool=1. undefi541132219t_bool=1. undefined_bool=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f11=1. f12=1. f13=1. f14=1. f16=1. f17=1. f18=1. f23=1. f24=1. f25=1. f26=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. f159=1. f160=1. f161=1. f162=1. f163=1. f164=1. f165=1. f166=1. f174=1. f175=1. f200=1. f201=1. f202=1. f203=1. list_c1434691767le_alt=1. foldl_107212092le_alt=1. nat_ca247420624le_alt=1. f28=1. f29=1. f30=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f41=1. f42=1. f43=1. f44=1. f45=1. f46=1. f47=1. f48=1. f49=1. f50=1. f51=1. f52=1. f53=1. f54=1. f55=1. f56=1. f57=1. f58=1. f59=1. f60=1. f61=1. f62=1. f63=1. f64=1. f65=1. f66=1. f67=1. f68=1. f69=1. f70=1. f71=1. f72=1. f73=1. f74=1. f75=1. f76=1. f77=1. f78=1. f79=1. f80=1. f81=1. f82=1. f83=1. f84=1. f85=1. f86=1. f87=1. f88=1. f89=1. f90=1. f91=1. f92=1. f93=1. f94=1. f95=1. f96=1. f97=1. f98=1. f99=1. f100=1. f101=1. f102=1. f103=1. f104=1. f105=1. f106=1. f107=1. f108=1. f109=1. f110=1. f111=1. f112=1. f113=1. f114=1. f115=1. f116=1. f117=1. f118=1. f119=1. f120=1. f121=1. f122=1. f123=1. f124=1. f125=1. f126=1. f155=1. f156=1. f157=1. f158=1. f176=1. f177=1. f178=1. f179=1. f180=1. f181=1. f182=1. f183=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. 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. f15=1. f127=1. f128=1. f129=1. f167=1. f168=1. f169=1. f170=1. f171=1. f184=1. f185=1. f186=1. f187=1. f188=1. f189=1. f190=1. f191=1. f204=1. f205=1. f206=1. f207=1. f208=1. f209=1. f210=1. f211=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. f10=1. f7=1. f8=1.
% 10.49/10.70
% 10.49/10.70 ============================== end of process initial clauses ========
% 10.49/10.70
% 10.49/10.70 ============================== CLAUSES FOR SEARCH ====================
% 10.49/10.70
% 10.49/10.70 ============================== end of clauses for search =============
% 10.49/10.70
% 10.49/10.70 ============================== SEARCH ================================
% 10.49/10.70
% 10.49/10.70 % Starting search at 1.88 seconds.
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=50.000, iters=3395
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=47.000, iters=3672
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=38.000, iters=3389
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=37.000, iters=3346
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=36.000, iters=3435
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=35.000, iters=3353
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=33.000, iters=3337
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=32.000, iters=3384
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=31.000, iters=3387
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=30.000, iters=3367
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=27.000, iters=3426
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=26.000, iters=3393
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=25.000, iters=3377
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=24.000, iters=3400
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=23.000, iters=3410
% 10.49/10.70
% 10.49/10.70 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 158 (0.00 of 4.90 sec).
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=22.000, iters=3378
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=21.000, iters=3341
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=20.000, iters=3382
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=19.000, iters=3388
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=18.000, iters=3357
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=17.000, iters=3371
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=16.000, iters=3392
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=15.000, iters=3395
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=14.000, iters=3492
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=13.000, iters=3351
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=12.000, iters=3387
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=11.000, iters=3342
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=10.000, iters=3339
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=9.000, iters=3337
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=8.000, iters=3358
% 10.49/10.70
% 10.49/10.70 Low Water (keep): wt=7.000, iters=3340
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4700, wt=54.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4734, wt=52.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4623, wt=51.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4735, wt=50.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4630, wt=49.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4749, wt=48.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4849, wt=47.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4777, wt=46.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4864, wt=45.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4532, wt=44.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4774, wt=43.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=4865, wt=42.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=5279, wt=41.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=5286, wt=40.000
% 10.49/10.70
% 10.49/10.70 Low Water (displace): id=5278, wt=39.000
% 10.49/10.70
% 10.49/10.70 Low Water (Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------