%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW473+1 : TPTP v8.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:09:33 EDT 2024 % Result : Theorem 0.60s 0.99s % Output : CNFRefutation 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWW473+1 : TPTP v8.2.0. Released v5.3.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 06:14:38 EDT 2024 % 0.12/0.33 % CPUTime : % 0.55/0.62 start to proof:theBenchmark % 0.60/0.95 %------------------------------------------- % 0.60/0.95 % File :CSE---1.7 % 0.60/0.95 % Problem :theBenchmark % 0.60/0.95 % Transform :cnf % 0.60/0.95 % Format :tptp:raw % 0.60/0.95 % Command :java -jar mcs_scs.jar %d %s % 0.60/0.95 % 0.60/0.95 % Result :Theorem 0.080000s % 0.60/0.95 % Output :CNFRefutation 0.080000s % 0.60/0.95 %------------------------------------------- % 0.60/0.96 %------------------------------------------------------------------------------ % 0.60/0.96 % File : SWW473+1 : TPTP v8.2.0. Released v5.3.0. % 0.60/0.96 % Domain : Software Verification % 0.60/0.96 % Problem : Hoare's Logic with Procedures line 383, 100 axioms selected % 0.60/0.96 % Version : Especial. % 0.60/0.96 % English : % 0.60/0.96 % 0.60/0.96 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.60/0.96 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 0.60/0.96 % Source : [Bla11] % 0.60/0.96 % Names : hoare_100_fofmg_l383 [Bla11] % 0.60/0.96 % 0.60/0.96 % Status : Theorem % 0.60/0.96 % Rating : 0.22 v8.2.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.37 v6.0.0, 0.30 v5.5.0, 0.48 v5.4.0, 0.54 v5.3.0 % 0.60/0.96 % Syntax : Number of formulae : 449 ( 129 unt; 0 def) % 0.60/0.96 % Number of atoms : 979 ( 168 equ) % 0.60/0.96 % Maximal formula atoms : 7 ( 2 avg) % 0.60/0.96 % Number of connectives : 597 ( 67 ~; 40 |; 55 &) % 0.60/0.96 % ( 42 <=>; 393 =>; 0 <=; 0 <~>) % 0.60/0.96 % Maximal formula depth : 11 ( 4 avg) % 0.60/0.96 % Maximal term depth : 7 ( 2 avg) % 0.60/0.96 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty) % 0.60/0.96 % Number of functors : 224 ( 224 usr; 56 con; 0-2 aty) % 0.60/0.96 % Number of variables : 957 ( 951 !; 6 ?) % 0.60/0.96 % SPC : FOF_THM_RFO_SEQ % 0.60/0.96 % 0.60/0.96 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 0.60/0.96 % 2011-08-09 15:56:16 % 0.60/0.96 % : Encoded with monomorphized guards. % 0.60/0.96 %------------------------------------------------------------------------------ % 0.60/0.96 %----Explicit typings (81) % 0.60/0.96 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_a_bool(B_2) % 0.60/0.96 => is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_pname_bool(B_2) % 0.60/0.96 => is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun949378684l_bool(B_2) % 0.60/0.96 => is_fun949378684l_bool(cOMBB_2140588453a_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun1661590463l_bool(B_2) % 0.60/0.96 => is_fun1661590463l_bool(cOMBB_307249310e_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_a_bool(B_2) % 0.60/0.96 => is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_pname_bool(B_2) % 0.60/0.96 => is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun949378684l_bool(B_2) % 0.60/0.96 => is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun1661590463l_bool(B_2) % 0.60/0.96 => is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Finite__Set_Ofinite_000t__a,axiom, % 0.60/0.96 is_fun949378684l_bool(finite_finite_a) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,hypothesis, % 0.60/0.96 is_fun1661590463l_bool(finite_finite_pname) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_HOL_Oundefined_000t__a,axiom, % 0.60/0.96 is_a(undefined_a(x_a)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom, % 0.60/0.96 is_pname(undefined_pname(pname)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom, % 0.60/0.96 is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom, % 0.60/0.96 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_OCollect_000t__a,axiom, % 0.60/0.96 ! [B_1_1] : % 0.60/0.96 ( is_fun_a_bool(B_1_1) % 0.60/0.96 => is_fun_a_bool(collect_a(B_1_1)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_OCollect_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1] : % 0.60/0.96 ( is_fun_pname_bool(B_1_1) % 0.60/0.96 => is_fun_pname_bool(collect_pname(B_1_1)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1] : % 0.60/0.96 ( is_fun949378684l_bool(B_1_1) % 0.60/0.96 => is_fun949378684l_bool(collect_fun_a_bool(B_1_1)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1] : % 0.60/0.96 ( is_fun1661590463l_bool(B_1_1) % 0.60/0.96 => is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000t__a_000t__a,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_a_bool(B_2) % 0.60/0.96 => is_fun_a_bool(image_a_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000t__a_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_a_bool(B_2) % 0.60/0.96 => is_fun_pname_bool(image_a_pname(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000t__a,hypothesis, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_pname_bool(B_2) % 0.60/0.96 => is_fun_a_bool(image_pname_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_pname_bool(B_2) % 0.60/0.96 => is_fun_pname_bool(image_pname_pname(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_pname_bool(B_2) % 0.60/0.96 => is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun_pname_bool(B_2) % 0.60/0.96 => is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_a_bool(image_nat_a(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_pname_bool(image_nat_pname(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun949378684l_bool(B_2) % 0.60/0.96 => is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun949378684l_bool(B_2) % 0.60/0.96 => is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun1661590463l_bool(B_2) % 0.60/0.96 => is_fun_a_bool(image_876012084bool_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_fun1661590463l_bool(B_2) % 0.60/0.96 => is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_0,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_a_bool(image_573985017bool_a(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_0_001,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_pname_bool(image_990671762_pname(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_a_bool(image_349102846bool_a(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL_002,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_pname_bool(image_1705983821_pname(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_a_bool(image_526090948bool_a(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL___003,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_pname_bool(image_1604018183_pname(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oinsert_000t__a,hypothesis, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( ( is_a(B_1_1) % 0.60/0.96 & is_fun_a_bool(B_2) ) % 0.60/0.96 => is_fun_a_bool(insert_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oinsert_000tc__Com__Opname,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( ( is_pname(B_1_1) % 0.60/0.96 & is_fun_pname_bool(B_2) ) % 0.60/0.96 => is_fun_pname_bool(insert_pname(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( ( is_fun_a_bool(B_1_1) % 0.60/0.96 & is_fun949378684l_bool(B_2) ) % 0.60/0.96 => is_fun949378684l_bool(insert_fun_a_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( ( is_fun_pname_bool(B_1_1) % 0.60/0.96 & is_fun1661590463l_bool(B_2) ) % 0.60/0.96 => is_fun1661590463l_bool(insert1325755072e_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000t__a_000tc__HOL__Obool,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( ( is_fun_a_bool(B_1_1) % 0.60/0.96 & is_a(B_2) ) % 0.60/0.96 => is_bool(hAPP_a_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_a(B_2) % 0.60/0.96 => is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_a(B_2) % 0.60/0.96 => is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J,hypothesis, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_a(B_2) % 0.60/0.96 => is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Com__Opname_000t__a,hypothesis, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_pname(B_2) % 0.60/0.96 => is_a(hAPP_pname_a(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( ( is_fun_pname_bool(B_1_1) % 0.60/0.96 & is_pname(B_2) ) % 0.60/0.96 => is_bool(hAPP_pname_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_pname(B_2) % 0.60/0.96 => is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_pname(B_2) % 0.60/0.96 => is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,hypothesis, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_pname(B_2) % 0.60/0.96 => is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 0.60/0.96 ! [B_1_1,B_2] : % 0.60/0.96 ( is_bool(B_2) % 0.60/0.96 => is_bool(hAPP_bool_bool(B_1_1,B_2)) ) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,hypothesis, % 0.60/0.96 ! [B_1_1,B_2] : is_bool(hAPP_nat_bool(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 0.60/0.96 ! [B_1_1,B_2] : is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2)) ). % 0.60/0.96 % 0.60/0.96 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( ( is_fun949378684l_bool(B_1_1) % 0.60/0.97 & is_fun_a_bool(B_2) ) % 0.60/0.97 => is_bool(hAPP_fun_a_bool_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun_a_bool(B_2) % 0.60/0.97 => is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL,hypothesis, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun_a_bool(B_2) % 0.60/0.97 => is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( ( is_fun1661590463l_bool(B_1_1) % 0.60/0.97 & is_fun_pname_bool(B_2) ) % 0.60/0.97 => is_bool(hAPP_f1664156314l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun_pname_bool(B_2) % 0.60/0.97 => is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun_pname_bool(B_2) % 0.60/0.97 => is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun949378684l_bool(B_2) % 0.60/0.97 => is_bool(hAPP_f621171935l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___004,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun949378684l_bool(B_2) % 0.60/0.97 => is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun1661590463l_bool(B_2) % 0.60/0.97 => is_bool(hAPP_f1935102916l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005,axiom, % 0.60/0.97 ! [B_1_1,B_2] : % 0.60/0.97 ( is_fun1661590463l_bool(B_2) % 0.60/0.97 => is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f1637334154l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f292226953l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f389811538l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f937997336l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HO,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f1363661463l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f595608956l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom, % 0.60/0.97 ! [B_1_1,B_2] : is_bool(hAPP_f1295398978l_bool(B_1_1,B_2)) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_v_G,hypothesis, % 0.60/0.97 is_fun_a_bool(g) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_v_P,axiom, % 0.60/0.97 ! [B_1_1] : % 0.60/0.97 ( is_fun_a_bool(B_1_1) % 0.60/0.97 => is_fun949378684l_bool(p(B_1_1)) ) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_v_U,hypothesis, % 0.60/0.97 is_fun_pname_bool(u) ). % 0.60/0.97 % 0.60/0.97 fof(gsy_v_pn,hypothesis, % 0.60/0.97 is_pname(pn) ). % 0.60/0.97 % 0.60/0.97 %----Relevant facts (300) % 0.60/0.97 fof(fact_0_assms_I1_J,axiom, % 0.60/0.97 ! [Ts,G] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(p(G),Ts)) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_1_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_2_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_3_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_4_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f1295398978l_bool(finite719726885l_bool,collec1874991203l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(ord_le65145710l_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_5_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_6_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f1363661463l_bool(finite1343359508l_bool,collec1635217238l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(ord_le967226251l_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_7_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_8_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_9_finite__Collect__subsets,axiom, % 0.60/0.97 ! [A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_10_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_11_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_2089570637ol_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_12_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1079571347ol_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_13_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1802975832ol_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_14_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_15_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_16_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_17_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_18_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1604018183_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_19_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_20_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_990671762_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_21_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_22_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_23_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_24_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_25_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,image_1607900221l_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_26_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1874789623l_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_27_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,image_1208015684l_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_28_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_29_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_30_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_31_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_32_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,image_1154884483l_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_33_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_34_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,image_1420695166l_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_35_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_36_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_37_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_38_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_39_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_40_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_fun_nat_bool_a(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_41_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_876012084bool_a(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_42_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_fun_a_bool_a(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_43_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_44_finite__imageI,axiom, % 0.60/0.97 ! [H,F_1] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(H,F_1))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_45_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_46_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_47_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_48_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,insert2003652156l_bool(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_49_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_50_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,insert1457093509l_bool(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_51_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_52_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_53_finite_OinsertI,axiom, % 0.60/0.97 ! [A_1,A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_1,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_54_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_55_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_56_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_57_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_58_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_59_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_60_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_61_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_62_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_526090948bool_a(F,A))),hAPP_f1690079119ol_nat(finite1352710292l_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_63_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_349102846bool_a(F,A))),hAPP_f98387925ol_nat(finite269641166l_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_64_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_573985017bool_a(F,A))),hAPP_f1253658590ol_nat(finite1659325229l_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_65_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_66_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_67_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_68_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_69_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_70_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,image_2129980159t_bool(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_71_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,image_47868345e_bool(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_72_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,image_112932426a_bool(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_73_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_nat_a(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_74_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,image_26036933t_bool(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_75_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,image_1655916159e_bool(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_76_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,image_nat_fun_a_bool(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_77_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_1921560913_pname(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_78_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_1283814551_pname(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_79_card__image__le,axiom, % 0.60/0.97 ! [F,A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_1854862208_pname(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_80_card__mono,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 0.60/0.97 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,B))) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_81_card__mono,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 0.60/0.97 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,B))) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_82_card__mono,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 0.60/0.97 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B))) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_83_card__mono,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 0.60/0.97 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_84_card__mono,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 0.60/0.97 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_85_card__mono,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 0.60/0.97 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_86_card__seteq,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 0.60/0.97 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 0.60/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B)),hAPP_f696928925ol_nat(finite346522414t_bool,A))) % 0.60/0.97 => A = B ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_87_card__seteq,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( ( is_fun1661590463l_bool(A) % 0.60/0.97 & is_fun1661590463l_bool(B) ) % 0.60/0.97 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 0.60/0.97 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 0.60/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) % 0.60/0.97 => A = B ) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_88_card__seteq,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( ( is_fun949378684l_bool(A) % 0.60/0.97 & is_fun949378684l_bool(B) ) % 0.60/0.97 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 0.60/0.97 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 0.60/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) % 0.60/0.97 => A = B ) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_89_card__seteq,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( ( is_fun_pname_bool(A) % 0.60/0.97 & is_fun_pname_bool(B) ) % 0.60/0.97 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 0.60/0.97 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A))) % 0.60/0.97 => A = B ) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_90_card__seteq,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( ( is_fun_a_bool(A) % 0.60/0.97 & is_fun_a_bool(B) ) % 0.60/0.97 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 0.60/0.97 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A))) % 0.60/0.97 => A = B ) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_91_card__seteq,axiom, % 0.60/0.97 ! [A,B] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 0.60/0.97 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,B)),hAPP_f22106695ol_nat(finite_card_nat,A))) % 0.60/0.97 => A = B ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_92_card__insert__le,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_2,A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_93_card__insert__le,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_2,A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_94_card__insert__le,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_2,A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_95_card__insert__le,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_2,A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_96_card__insert__le,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_2,A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_97_card__insert__le,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_2,A)))) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_98_card__insert__if,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.97 => ( ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_2),A)) % 0.60/0.97 => hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_2,A)) = hAPP_f696928925ol_nat(finite346522414t_bool,A) ) % 0.60/0.97 & ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_2),A)) % 0.60/0.97 => hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_2,A)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_99_card__insert__if,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.97 => ( ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A)) % 0.60/0.97 => hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_2,A)) = hAPP_f55526627ol_nat(finite1340463720e_bool,A) ) % 0.60/0.97 & ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A)) % 0.60/0.97 => hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_2,A)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_100_card__insert__if,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.97 => ( ( hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_2),A)) % 0.60/0.97 => hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_2,A)) = hAPP_f2009550088ol_nat(finite1306199131a_bool,A) ) % 0.60/0.97 & ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_2),A)) % 0.60/0.97 => hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_2,A)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_101_card__insert__if,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.97 => ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.97 => hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_2,A)) = hAPP_f22106695ol_nat(finite_card_nat,A) ) % 0.60/0.97 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.97 => hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_2,A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_102_card__insert__if,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.97 => ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.97 => hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_2,A)) = hAPP_f921600141ol_nat(finite_card_pname,A) ) % 0.60/0.97 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.97 => hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_2,A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)) ) ) ) ). % 0.60/0.97 % 0.60/0.97 fof(fact_103_card__insert__if,axiom, % 0.60/0.97 ! [X_2,A] : % 0.60/0.97 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.97 => ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.97 => hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_2,A)) = hAPP_fun_a_bool_nat(finite_card_a,A) ) % 0.60/0.97 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.97 => hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_2,A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_104_card__insert__disjoint,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_2),A)) % 0.60/0.98 => hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_2,A)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_105_card__insert__disjoint,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A)) % 0.60/0.98 => hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_2,A)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_106_card__insert__disjoint,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_2),A)) % 0.60/0.98 => hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_2,A)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_107_card__insert__disjoint,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 => hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_2,A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_108_card__insert__disjoint,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_2,A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_109_card__insert__disjoint,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 => hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_2,A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_110_finite__Collect__conjI,axiom, % 0.60/0.98 ! [Q_1,Pa] : % 0.60/0.98 ( ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa))) % 0.60/0.98 | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1))) ) % 0.60/0.98 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_1)))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_111_finite__Collect__conjI,axiom, % 0.60/0.98 ! [Q_1,Pa] : % 0.60/0.98 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa))) % 0.60/0.98 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))) ) % 0.60/0.98 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_1)))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_112_finite__Collect__conjI,axiom, % 0.60/0.98 ! [Q_1,Pa] : % 0.60/0.98 ( ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa))) % 0.60/0.98 | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1))) ) % 0.60/0.98 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_1)))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_113_finite__Collect__conjI,axiom, % 0.60/0.98 ! [Q_1,Pa] : % 0.60/0.98 ( ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa))) % 0.60/0.98 | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1))) ) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_1)))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_114_finite__Collect__conjI,axiom, % 0.60/0.98 ! [Q_1,Pa] : % 0.60/0.98 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa))) % 0.60/0.98 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))) ) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_1)))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_115_finite__Collect__conjI,axiom, % 0.60/0.98 ! [Q_1,Pa] : % 0.60/0.98 ( ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa))) % 0.60/0.98 | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1))) ) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_1)))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_116_Suc__diff__le,axiom, % 0.60/0.98 ! [N_1,M_2] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_2)) % 0.60/0.98 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M_2)),N_1) = hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(M_2),N_1)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_117_finite__Collect__le__nat,axiom, % 0.60/0.98 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),K)))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_118_card__Collect__le__nat,axiom, % 0.60/0.98 ! [Na] : hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),Na))) = hAPP_nat_nat(suc,Na) ). % 0.60/0.98 % 0.60/0.98 fof(fact_119_Suc__inject,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( hAPP_nat_nat(suc,X) = hAPP_nat_nat(suc,Y) % 0.60/0.98 => X = Y ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_120_nat_Oinject,axiom, % 0.60/0.98 ! [Nat_1,Nat] : % 0.60/0.98 ( hAPP_nat_nat(suc,Nat_1) = hAPP_nat_nat(suc,Nat) % 0.60/0.98 <=> Nat_1 = Nat ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_121_Suc__n__not__n,axiom, % 0.60/0.98 ! [N_1] : hAPP_nat_nat(suc,N_1) != N_1 ). % 0.60/0.98 % 0.60/0.98 fof(fact_122_n__not__Suc__n,axiom, % 0.60/0.98 ! [N_1] : N_1 != hAPP_nat_nat(suc,N_1) ). % 0.60/0.98 % 0.60/0.98 fof(fact_123_le__antisym,axiom, % 0.60/0.98 ! [M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_2)) % 0.60/0.98 => M_2 = N_1 ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_124_le__trans,axiom, % 0.60/0.98 ! [K_1,I_1,J] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),K_1)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),K_1)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_125_eq__imp__le,axiom, % 0.60/0.98 ! [M_2,N_1] : % 0.60/0.98 ( M_2 = N_1 % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_126_nat__le__linear,axiom, % 0.60/0.98 ! [M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) % 0.60/0.98 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_2)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_127_le__refl,axiom, % 0.60/0.98 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),N_1)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_128_diff__commute,axiom, % 0.60/0.98 ! [I_1,J,K_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I_1),J)),K_1) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I_1),K_1)),J) ). % 0.60/0.98 % 0.60/0.98 fof(fact_129_finite__Collect__disjI,axiom, % 0.60/0.98 ! [Pa,Q_1] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_1)))) % 0.60/0.98 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa))) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_130_finite__Collect__disjI,axiom, % 0.60/0.98 ! [Pa,Q_1] : % 0.60/0.98 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_1)))) % 0.60/0.98 <=> ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa))) % 0.60/0.98 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_131_finite__Collect__disjI,axiom, % 0.60/0.98 ! [Pa,Q_1] : % 0.60/0.98 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_1)))) % 0.60/0.98 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa))) % 0.60/0.98 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_132_finite__Collect__disjI,axiom, % 0.60/0.98 ! [Pa,Q_1] : % 0.60/0.98 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_1)))) % 0.60/0.98 <=> ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa))) % 0.60/0.98 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_133_finite__Collect__disjI,axiom, % 0.60/0.98 ! [Pa,Q_1] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_1)))) % 0.60/0.98 <=> ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa))) % 0.60/0.98 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_134_finite__Collect__disjI,axiom, % 0.60/0.98 ! [Pa,Q_1] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_1)))) % 0.60/0.98 <=> ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa))) % 0.60/0.98 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_135_finite__insert,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_1,A))) % 0.60/0.98 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_136_finite__insert,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_1,A))) % 0.60/0.98 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_137_finite__insert,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_1,A))) % 0.60/0.98 <=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_138_finite__insert,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_1,A))) % 0.60/0.98 <=> hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_139_finite__insert,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_1,A))) % 0.60/0.98 <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_140_finite__insert,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_1,A))) % 0.60/0.98 <=> hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_141_finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 0.60/0.98 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_142_finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 0.60/0.98 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_143_finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_144_finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 0.60/0.98 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_145_finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_146_finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_147_rev__finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 0.60/0.98 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_148_rev__finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 0.60/0.98 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_149_rev__finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_150_rev__finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 0.60/0.98 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_151_rev__finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_152_rev__finite__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_153_Suc__leD,axiom, % 0.60/0.98 ! [M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_2)),N_1)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_154_le__SucE,axiom, % 0.60/0.98 ! [M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),hAPP_nat_nat(suc,N_1))) % 0.60/0.98 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) % 0.60/0.98 => M_2 = hAPP_nat_nat(suc,N_1) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_155_le__SucI,axiom, % 0.60/0.98 ! [M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),hAPP_nat_nat(suc,N_1))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_156_Suc__le__mono,axiom, % 0.60/0.98 ! [Na,M_3] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M_3))) % 0.60/0.98 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),M_3)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_157_le__Suc__eq,axiom, % 0.60/0.98 ! [M_3,Na] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),hAPP_nat_nat(suc,Na))) % 0.60/0.98 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),Na)) % 0.60/0.98 | M_3 = hAPP_nat_nat(suc,Na) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_158_not__less__eq__eq,axiom, % 0.60/0.98 ! [M_3,Na] : % 0.60/0.98 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),Na)) % 0.60/0.98 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M_3)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_159_Suc__n__not__le__n,axiom, % 0.60/0.98 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N_1)),N_1)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_160_Suc__diff__diff,axiom, % 0.60/0.98 ! [M_2,N_1,K_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M_2)),N_1)),hAPP_nat_nat(suc,K_1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M_2),N_1)),K_1) ). % 0.60/0.98 % 0.60/0.98 fof(fact_161_diff__Suc__Suc,axiom, % 0.60/0.98 ! [M_2,N_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M_2)),hAPP_nat_nat(suc,N_1)) = hAPP_nat_nat(minus_minus_nat(M_2),N_1) ). % 0.60/0.98 % 0.60/0.98 fof(fact_162_le__diff__iff,axiom, % 0.60/0.98 ! [Na,K,M_3] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M_3)) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na)) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M_3),K)),hAPP_nat_nat(minus_minus_nat(Na),K))) % 0.60/0.98 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),Na)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_163_Nat_Odiff__diff__eq,axiom, % 0.60/0.98 ! [N_1,K_1,M_2] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),M_2)) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) % 0.60/0.98 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M_2),K_1)),hAPP_nat_nat(minus_minus_nat(N_1),K_1)) = hAPP_nat_nat(minus_minus_nat(M_2),N_1) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_164_eq__diff__iff,axiom, % 0.60/0.98 ! [Na,K,M_3] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M_3)) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na)) % 0.60/0.98 => ( hAPP_nat_nat(minus_minus_nat(M_3),K) = hAPP_nat_nat(minus_minus_nat(Na),K) % 0.60/0.98 <=> M_3 = Na ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_165_diff__diff__cancel,axiom, % 0.60/0.98 ! [I_1,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),N_1)) % 0.60/0.98 => hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(minus_minus_nat(N_1),I_1)) = I_1 ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_166_diff__le__mono,axiom, % 0.60/0.98 ! [L,M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M_2),L)),hAPP_nat_nat(minus_minus_nat(N_1),L))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_167_diff__le__mono2,axiom, % 0.60/0.98 ! [L,M_2,N_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(L),N_1)),hAPP_nat_nat(minus_minus_nat(L),M_2))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_168_diff__le__self,axiom, % 0.60/0.98 ! [M_2,N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M_2),N_1)),M_2)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_169_finite__surj,axiom, % 0.60/0.98 ! [B,F,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A))) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_170_finite__subset__image,axiom, % 0.60/0.98 ! [F,A,B] : % 0.60/0.98 ( is_fun_a_bool(B) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A))) % 0.60/0.98 => ? [C_2] : % 0.60/0.98 ( is_fun_pname_bool(C_2) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_2),A)) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_2)) % 0.60/0.98 & B = image_pname_a(F,C_2) ) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_171_lift__Suc__mono__le,axiom, % 0.60/0.98 ! [Na,N_3,F] : % 0.60/0.98 ( ! [N_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,N_2)),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,N_2)))) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_172_lift__Suc__mono__le,axiom, % 0.60/0.98 ! [Na,N_3,F] : % 0.60/0.98 ( ! [N_2] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,N_2)),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,N_2)))) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_173_lift__Suc__mono__le,axiom, % 0.60/0.98 ! [Na,N_3,F] : % 0.60/0.98 ( ! [N_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2)))) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_174_lift__Suc__mono__le,axiom, % 0.60/0.98 ! [Na,N_3,F] : % 0.60/0.98 ( ! [N_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,N_2)),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,N_2)))) % 0.60/0.98 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,Na)),hAPP_nat_fun_a_bool(F,N_3))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_175_pigeonhole__infinite,axiom, % 0.60/0.98 ! [F,A] : % 0.60/0.98 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A))) % 0.60/0.98 => ? [X_1] : % 0.60/0.98 ( is_pname(X_1) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 0.60/0.98 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,F)),hAPP_pname_a(F,X_1)))))) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_176_image__eqI,axiom, % 0.60/0.98 ! [A,B_1,F,X_2] : % 0.60/0.98 ( B_1 = hAPP_pname_a(F,X_2) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_177_equalityI,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) % 0.60/0.98 => A = B ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_178_equalityI,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( ( is_fun_pname_bool(A) % 0.60/0.98 & is_fun_pname_bool(B) ) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) % 0.60/0.98 => A = B ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_179_equalityI,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( ( is_fun_a_bool(A) % 0.60/0.98 & is_fun_a_bool(B) ) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) % 0.60/0.98 => A = B ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_180_subsetD,axiom, % 0.60/0.98 ! [C_1,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),A)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_181_subsetD,axiom, % 0.60/0.98 ! [C_1,A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_182_subsetD,axiom, % 0.60/0.98 ! [C_1,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),A)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_183_insertCI,axiom, % 0.60/0.98 ! [B_1,A_1,B] : % 0.60/0.98 ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),B)) % 0.60/0.98 => A_1 = B_1 ) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),insert_nat(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_184_insertCI,axiom, % 0.60/0.98 ! [B_1,A_1,B] : % 0.60/0.98 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),B)) % 0.60/0.98 => A_1 = B_1 ) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),insert_pname(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_185_insertCI,axiom, % 0.60/0.98 ! [B_1,A_1,B] : % 0.60/0.98 ( ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),B)) % 0.60/0.98 => A_1 = B_1 ) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),insert_a(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_186_insertE,axiom, % 0.60/0.98 ! [A_1,B_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),insert_nat(B_1,A))) % 0.60/0.98 => ( A_1 != B_1 % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_187_insertE,axiom, % 0.60/0.98 ! [A_1,B_1,A] : % 0.60/0.98 ( ( is_pname(A_1) % 0.60/0.98 & is_pname(B_1) ) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),insert_pname(B_1,A))) % 0.60/0.98 => ( A_1 != B_1 % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_188_insertE,axiom, % 0.60/0.98 ! [A_1,B_1,A] : % 0.60/0.98 ( ( is_a(A_1) % 0.60/0.98 & is_a(B_1) ) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),insert_a(B_1,A))) % 0.60/0.98 => ( A_1 != B_1 % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_189_insertI1,axiom, % 0.60/0.98 ! [A_1,B] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),insert_nat(A_1,B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_190_insertI1,axiom, % 0.60/0.98 ! [A_1,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),insert_pname(A_1,B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_191_insertI1,axiom, % 0.60/0.98 ! [A_1,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),insert_a(A_1,B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_192_insert__compr,axiom, % 0.60/0.98 ! [A_1,B] : insert_nat(A_1,B) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_193_insert__compr,axiom, % 0.60/0.98 ! [A_1,B] : insert_pname(A_1,B) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_194_insert__compr,axiom, % 0.60/0.98 ! [A_1,B] : insert_a(A_1,B) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_195_insert__compr,axiom, % 0.60/0.98 ! [A_1,B] : insert_fun_nat_bool(A_1,B) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_196_insert__compr,axiom, % 0.60/0.98 ! [A_1,B] : insert1325755072e_bool(A_1,B) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_197_insert__compr,axiom, % 0.60/0.98 ! [A_1,B] : insert_fun_a_bool(A_1,B) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_198_insert__Collect,axiom, % 0.60/0.98 ! [A_1,Pa] : insert_nat(A_1,collect_nat(Pa)) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_1))),Pa)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_199_insert__Collect,axiom, % 0.60/0.98 ! [A_1,Pa] : insert_pname(A_1,collect_pname(Pa)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_1))),Pa)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_200_insert__Collect,axiom, % 0.60/0.98 ! [A_1,Pa] : insert_a(A_1,collect_a(Pa)) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_1))),Pa)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_201_insert__Collect,axiom, % 0.60/0.98 ! [A_1,Pa] : insert_fun_nat_bool(A_1,collect_fun_nat_bool(Pa)) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_1))),Pa)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_202_insert__Collect,axiom, % 0.60/0.98 ! [A_1,Pa] : insert1325755072e_bool(A_1,collec1974731493e_bool(Pa)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_1))),Pa)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_203_insert__Collect,axiom, % 0.60/0.98 ! [A_1,Pa] : insert_fun_a_bool(A_1,collect_fun_a_bool(Pa)) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_1))),Pa)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_204_insert__absorb2,axiom, % 0.60/0.98 ! [X_2,A] : insert_nat(X_2,insert_nat(X_2,A)) = insert_nat(X_2,A) ). % 0.60/0.98 % 0.60/0.98 fof(fact_205_insert__absorb2,axiom, % 0.60/0.98 ! [X_2,A] : insert_pname(X_2,insert_pname(X_2,A)) = insert_pname(X_2,A) ). % 0.60/0.98 % 0.60/0.98 fof(fact_206_insert__absorb2,axiom, % 0.60/0.98 ! [X_2,A] : insert_a(X_2,insert_a(X_2,A)) = insert_a(X_2,A) ). % 0.60/0.98 % 0.60/0.98 fof(fact_207_insert__commute,axiom, % 0.60/0.98 ! [X_2,Y_1,A] : insert_nat(X_2,insert_nat(Y_1,A)) = insert_nat(Y_1,insert_nat(X_2,A)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_208_insert__commute,axiom, % 0.60/0.98 ! [X_2,Y_1,A] : insert_pname(X_2,insert_pname(Y_1,A)) = insert_pname(Y_1,insert_pname(X_2,A)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_209_insert__commute,axiom, % 0.60/0.98 ! [X_2,Y_1,A] : insert_a(X_2,insert_a(Y_1,A)) = insert_a(Y_1,insert_a(X_2,A)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_210_insert__iff,axiom, % 0.60/0.98 ! [A_1,B_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),insert_nat(B_1,A))) % 0.60/0.98 <=> ( A_1 = B_1 % 0.60/0.98 | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_211_insert__iff,axiom, % 0.60/0.98 ! [A_1,B_1,A] : % 0.60/0.98 ( ( is_pname(A_1) % 0.60/0.98 & is_pname(B_1) ) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),insert_pname(B_1,A))) % 0.60/0.98 <=> ( A_1 = B_1 % 0.60/0.98 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_212_insert__iff,axiom, % 0.60/0.98 ! [A_1,B_1,A] : % 0.60/0.98 ( ( is_a(A_1) % 0.60/0.98 & is_a(B_1) ) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),insert_a(B_1,A))) % 0.60/0.98 <=> ( A_1 = B_1 % 0.60/0.98 | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_213_insert__code,axiom, % 0.60/0.98 ! [Y_1,A,X_2] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(insert_nat(Y_1,A),X_2)) % 0.60/0.98 <=> ( Y_1 = X_2 % 0.60/0.98 | hBOOL(hAPP_nat_bool(A,X_2)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_214_insert__code,axiom, % 0.60/0.98 ! [Y_1,A,X_2] : % 0.60/0.98 ( ( is_pname(Y_1) % 0.60/0.98 & is_pname(X_2) ) % 0.60/0.98 => ( hBOOL(hAPP_pname_bool(insert_pname(Y_1,A),X_2)) % 0.60/0.98 <=> ( Y_1 = X_2 % 0.60/0.98 | hBOOL(hAPP_pname_bool(A,X_2)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_215_insert__code,axiom, % 0.60/0.98 ! [Y_1,A,X_2] : % 0.60/0.98 ( ( is_a(Y_1) % 0.60/0.98 & is_a(X_2) ) % 0.60/0.98 => ( hBOOL(hAPP_a_bool(insert_a(Y_1,A),X_2)) % 0.60/0.98 <=> ( Y_1 = X_2 % 0.60/0.98 | hBOOL(hAPP_a_bool(A,X_2)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_216_insert__ident,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) % 0.60/0.98 => ( insert_nat(X_2,A) = insert_nat(X_2,B) % 0.60/0.98 <=> A = B ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_217_insert__ident,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( ( is_fun_pname_bool(B) % 0.60/0.98 & is_fun_pname_bool(A) ) % 0.60/0.98 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) % 0.60/0.98 => ( insert_pname(X_2,A) = insert_pname(X_2,B) % 0.60/0.98 <=> A = B ) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_218_insert__ident,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( ( is_fun_a_bool(B) % 0.60/0.98 & is_fun_a_bool(A) ) % 0.60/0.98 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) % 0.60/0.98 => ( insert_a(X_2,A) = insert_a(X_2,B) % 0.60/0.98 <=> A = B ) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_219_insertI2,axiom, % 0.60/0.98 ! [B_1,A_1,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),B)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),insert_nat(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_220_insertI2,axiom, % 0.60/0.98 ! [B_1,A_1,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),B)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),insert_pname(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_221_insertI2,axiom, % 0.60/0.98 ! [B_1,A_1,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),B)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),insert_a(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_222_insert__absorb,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),A)) % 0.60/0.98 => insert_nat(A_1,A) = A ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_223_insert__absorb,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( is_fun_pname_bool(A) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),A)) % 0.60/0.98 => insert_pname(A_1,A) = A ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_224_insert__absorb,axiom, % 0.60/0.98 ! [A_1,A] : % 0.60/0.98 ( is_fun_a_bool(A) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),A)) % 0.60/0.98 => insert_a(A_1,A) = A ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_225_subset__refl,axiom, % 0.60/0.98 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_226_subset__refl,axiom, % 0.60/0.98 ! [A] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),A)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_227_subset__refl,axiom, % 0.60/0.98 ! [A] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),A)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_228_set__eq__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_229_set__eq__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( ( is_fun_pname_bool(A) % 0.60/0.98 & is_fun_pname_bool(B) ) % 0.60/0.98 => ( A = B % 0.60/0.98 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_230_set__eq__subset,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( ( is_fun_a_bool(A) % 0.60/0.98 & is_fun_a_bool(B) ) % 0.60/0.98 => ( A = B % 0.60/0.98 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_231_equalityD1,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_232_equalityD1,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_233_equalityD1,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_234_equalityD2,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_235_equalityD2,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_236_equalityD2,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_237_in__mono,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_238_in__mono,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_239_in__mono,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_240_set__rev__mp,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_241_set__rev__mp,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_242_set__rev__mp,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_243_set__mp,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_244_set__mp,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_245_set__mp,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_246_subset__trans,axiom, % 0.60/0.98 ! [C,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_247_subset__trans,axiom, % 0.60/0.98 ! [C,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),C)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_248_subset__trans,axiom, % 0.60/0.98 ! [C,A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_249_equalityE,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_250_equalityE,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_251_equalityE,axiom, % 0.60/0.98 ! [A,B] : % 0.60/0.98 ( A = B % 0.60/0.98 => ~ ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_252_mem__def,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 <=> hBOOL(hAPP_nat_bool(A,X_2)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_253_mem__def,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 <=> hBOOL(hAPP_a_bool(A,X_2)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_254_mem__def,axiom, % 0.60/0.98 ! [X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 <=> hBOOL(hAPP_pname_bool(A,X_2)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_255_Collect__def,axiom, % 0.60/0.98 ! [Pa] : % 0.60/0.98 ( is_fun_pname_bool(Pa) % 0.60/0.98 => collect_pname(Pa) = Pa ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_256_Collect__def,axiom, % 0.60/0.98 ! [Pa] : collect_fun_nat_bool(Pa) = Pa ). % 0.60/0.98 % 0.60/0.98 fof(fact_257_Collect__def,axiom, % 0.60/0.98 ! [Pa] : % 0.60/0.98 ( is_fun1661590463l_bool(Pa) % 0.60/0.98 => collec1974731493e_bool(Pa) = Pa ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_258_Collect__def,axiom, % 0.60/0.98 ! [Pa] : % 0.60/0.98 ( is_fun949378684l_bool(Pa) % 0.60/0.98 => collect_fun_a_bool(Pa) = Pa ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_259_Collect__def,axiom, % 0.60/0.98 ! [Pa] : collect_nat(Pa) = Pa ). % 0.60/0.98 % 0.60/0.98 fof(fact_260_image__iff,axiom, % 0.60/0.98 ! [Z,F,A] : % 0.60/0.98 ( is_a(Z) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z),image_pname_a(F,A))) % 0.60/0.98 <=> ? [X_1] : % 0.60/0.98 ( is_pname(X_1) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 0.60/0.98 & Z = hAPP_pname_a(F,X_1) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_261_imageI,axiom, % 0.60/0.98 ! [F,X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),image_pname_a(F,A))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_262_rev__image__eqI,axiom, % 0.60/0.98 ! [B_1,F,X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => ( B_1 = hAPP_pname_a(F,X_2) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_263_insert__compr__raw,axiom, % 0.60/0.98 ! [X_1,Xa] : insert_nat(X_1,Xa) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_264_insert__compr__raw,axiom, % 0.60/0.98 ! [X_1,Xa] : insert_pname(X_1,Xa) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_265_insert__compr__raw,axiom, % 0.60/0.98 ! [X_1,Xa] : insert_a(X_1,Xa) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_266_insert__compr__raw,axiom, % 0.60/0.98 ! [X_1,Xa] : insert_fun_nat_bool(X_1,Xa) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X_1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),Xa))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_267_insert__compr__raw,axiom, % 0.60/0.98 ! [X_1,Xa] : insert1325755072e_bool(X_1,Xa) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X_1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),Xa))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_268_insert__compr__raw,axiom, % 0.60/0.98 ! [X_1,Xa] : insert_fun_a_bool(X_1,Xa) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X_1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),Xa))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_269_subset__insertI,axiom, % 0.60/0.98 ! [B,A_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),insert_nat(A_1,B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_270_subset__insertI,axiom, % 0.60/0.98 ! [B,A_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),insert_pname(A_1,B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_271_subset__insertI,axiom, % 0.60/0.98 ! [B,A_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),insert_a(A_1,B))) ). % 0.60/0.98 % 0.60/0.98 fof(fact_272_insert__subset,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X_2,A)),B)) % 0.60/0.98 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) % 0.60/0.98 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_273_insert__subset,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_2,A)),B)) % 0.60/0.98 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_274_insert__subset,axiom, % 0.60/0.98 ! [X_2,A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B)) % 0.60/0.98 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) % 0.60/0.98 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_275_subset__insert,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 0.60/0.98 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),insert_nat(X_2,B))) % 0.60/0.98 <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_276_subset__insert,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),insert_pname(X_2,B))) % 0.60/0.98 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_277_subset__insert,axiom, % 0.60/0.98 ! [B,X_2,A] : % 0.60/0.98 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),insert_a(X_2,B))) % 0.60/0.98 <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_278_subset__insertI2,axiom, % 0.60/0.98 ! [B_1,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),insert_nat(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_279_subset__insertI2,axiom, % 0.60/0.98 ! [B_1,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),insert_pname(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_280_subset__insertI2,axiom, % 0.60/0.98 ! [B_1,A,B] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),insert_a(B_1,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_281_insert__mono,axiom, % 0.60/0.98 ! [A_1,C,D] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),D)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(A_1,C)),insert_nat(A_1,D))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_282_insert__mono,axiom, % 0.60/0.98 ! [A_1,C,D] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),D)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(A_1,C)),insert_pname(A_1,D))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_283_insert__mono,axiom, % 0.60/0.98 ! [A_1,C,D] : % 0.60/0.98 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C),D)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_1,C)),insert_a(A_1,D))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_284_image__insert,axiom, % 0.60/0.98 ! [F,A_1,B] : image_pname_a(F,insert_pname(A_1,B)) = insert_a(hAPP_pname_a(F,A_1),image_pname_a(F,B)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_285_insert__image,axiom, % 0.60/0.98 ! [F,X_2,A] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 0.60/0.98 => insert_a(hAPP_pname_a(F,X_2),image_pname_a(F,A)) = image_pname_a(F,A) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_286_subset__image__iff,axiom, % 0.60/0.98 ! [B,F,A] : % 0.60/0.98 ( is_fun_a_bool(B) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A))) % 0.60/0.98 <=> ? [AA] : % 0.60/0.98 ( is_fun_pname_bool(AA) % 0.60/0.98 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A)) % 0.60/0.98 & B = image_pname_a(F,AA) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_287_image__mono,axiom, % 0.60/0.98 ! [F,A,B] : % 0.60/0.98 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),image_pname_a(F,B))) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_288_imageE,axiom, % 0.60/0.98 ! [B_1,F,A] : % 0.60/0.98 ( is_a(B_1) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A))) % 0.60/0.98 => ~ ! [X_1] : % 0.60/0.98 ( is_pname(X_1) % 0.60/0.98 => ( B_1 = hAPP_pname_a(F,X_1) % 0.60/0.98 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) ) ) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_289_subsetI,axiom, % 0.60/0.98 ! [B,A] : % 0.60/0.98 ( ! [X_1] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) % 0.60/0.98 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_290_subsetI,axiom, % 0.60/0.98 ! [B,A] : % 0.60/0.98 ( ! [X_1] : % 0.60/0.98 ( is_a(X_1) % 0.60/0.98 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_291_subsetI,axiom, % 0.60/0.98 ! [B,A] : % 0.60/0.98 ( ! [X_1] : % 0.60/0.98 ( is_pname(X_1) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) % 0.60/0.98 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_292_zero__induct__lemma,axiom, % 0.60/0.98 ! [I,Pa,K] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(Pa,K)) % 0.60/0.98 => ( ! [N_2] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_2))) % 0.60/0.98 => hBOOL(hAPP_nat_bool(Pa,N_2)) ) % 0.60/0.98 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(minus_minus_nat(K),I))) ) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_293_Suc__le__D,axiom, % 0.60/0.98 ! [N_1,M_1] : % 0.60/0.98 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N_1)),M_1)) % 0.60/0.98 => ? [M] : M_1 = hAPP_nat_nat(suc,M) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_294_image__subsetI,axiom, % 0.60/0.98 ! [F,B,A] : % 0.60/0.98 ( ! [X_1] : % 0.60/0.98 ( is_pname(X_1) % 0.60/0.98 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),B)) ) ) % 0.60/0.98 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B)) ) ). % 0.60/0.98 % 0.60/0.98 fof(fact_295_order__refl,axiom, % 0.60/0.98 ! [X_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),X_2)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_296_order__refl,axiom, % 0.60/0.98 ! [X_2] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_2),X_2)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_297_order__refl,axiom, % 0.60/0.98 ! [X_3] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_3),X_3)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_298_order__refl,axiom, % 0.60/0.98 ! [X_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_2),X_2)) ). % 0.60/0.98 % 0.60/0.98 fof(fact_299_finite__nat__set__iff__bounded__le,axiom, % 0.60/0.98 ! [N] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N)) % 0.60/0.98 <=> ? [M] : % 0.60/0.98 ! [X_1] : % 0.60/0.98 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N)) % 0.60/0.98 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),M)) ) ) ). % 0.60/0.98 % 0.60/0.98 %----Helper facts (61) % 0.60/0.98 fof(help_fNot_1_1_U,axiom, % 0.60/0.98 ! [P] : % 0.60/0.98 ( ~ hBOOL(hAPP_bool_bool(fNot,P)) % 0.60/0.98 | ~ hBOOL(P) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fNot_2_1_U,axiom, % 0.60/0.98 ! [P] : % 0.60/0.98 ( hBOOL(P) % 0.60/0.98 | hBOOL(hAPP_bool_bool(fNot,P)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fconj_1_1_U,axiom, % 0.60/0.98 ! [Q,P] : % 0.60/0.98 ( ~ hBOOL(P) % 0.60/0.98 | ~ hBOOL(Q) % 0.60/0.98 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fconj_2_1_U,axiom, % 0.60/0.98 ! [P,Q] : % 0.60/0.98 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) % 0.60/0.98 | hBOOL(P) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fconj_3_1_U,axiom, % 0.60/0.98 ! [P,Q] : % 0.60/0.98 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) % 0.60/0.98 | hBOOL(Q) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fdisj_1_1_U,axiom, % 0.60/0.98 ! [Q,P] : % 0.60/0.98 ( ~ hBOOL(P) % 0.60/0.98 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fdisj_2_1_U,axiom, % 0.60/0.98 ! [P,Q] : % 0.60/0.98 ( ~ hBOOL(Q) % 0.60/0.98 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fdisj_3_1_U,axiom, % 0.60/0.98 ! [P,Q] : % 0.60/0.98 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) % 0.60/0.98 | hBOOL(P) % 0.60/0.98 | hBOOL(Q) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fimplies_1_1_U,axiom, % 0.60/0.98 ! [Q,P] : % 0.60/0.98 ( hBOOL(P) % 0.60/0.98 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fimplies_2_1_U,axiom, % 0.60/0.98 ! [P,Q] : % 0.60/0.98 ( ~ hBOOL(Q) % 0.60/0.98 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fimplies_3_1_U,axiom, % 0.60/0.98 ! [P,Q] : % 0.60/0.98 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) % 0.60/0.98 | ~ hBOOL(P) % 0.60/0.98 | hBOOL(Q) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_1_1_fequal_000t__a_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( ( is_a(X) % 0.60/0.98 & is_a(Y) ) % 0.60/0.98 => ( ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y)) % 0.60/0.98 | X = Y ) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_2_1_fequal_000t__a_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( X != Y % 0.60/0.98 | hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) % 0.60/0.98 | X = Y ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( X != Y % 0.60/0.98 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( ( is_pname(X) % 0.60/0.98 & is_pname(Y) ) % 0.60/0.98 => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) % 0.60/0.98 | X = Y ) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( X != Y % 0.60/0.98 | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(P),Q),R) = hAPP_a_bool(hAPP_a_fun_a_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( ( is_fun_a_bool(X) % 0.60/0.98 & is_fun_a_bool(Y) ) % 0.60/0.98 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y)) % 0.60/0.98 | X = Y ) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( X != Y % 0.60/0.98 | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R) = hAPP_bool_bool(P,hAPP_a_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_a_bool(cOMBS_a_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_a_fun_bool_bool(P,R),hAPP_a_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(P),Q),R) = hAPP_a_bool(hAPP_p1534023578a_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y)) % 0.60/0.98 | X = Y ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( X != Y % 0.60/0.98 | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( ( is_fun_pname_bool(X) % 0.60/0.98 & is_fun_pname_bool(Y) ) % 0.60/0.98 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) % 0.60/0.98 | X = Y ) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom, % 0.60/0.98 ! [X,Y] : % 0.60/0.98 ( X != Y % 0.60/0.98 | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) ) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R) = hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R) = hAPP_bool_bool(P,hAPP_pname_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_pname_bool(cOMBS_568398431l_bool(P,Q),R) = hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R) = hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_fun_a_bool_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f198738859l_bool(P,R),hAPP_fun_a_bool_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f54304608l_bool(cOMBB_238756964t_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_f54304608l_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f54304608l_bool(cOMBS_1187019125l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1748468828l_bool(P,R),hAPP_f54304608l_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_f1664156314l_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(P),Q),R) = hAPP_f621171935l_bool(hAPP_f285962445l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__011,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(P),Q),R) = hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_012,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f292226953l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(P),Q),R) = hAPP_f292226953l_bool(hAPP_f1050622307l_bool(P,R),Q) ). % 0.60/0.98 % 0.60/0.98 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool,axiom, % 0.60/0.98 ! [P,Q,R] : hAPP_f937997336l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(P),Q),R) = hAPP_f937997336l_bool(hAPP_f760187903l_bool(P,R),Q) ). % 0.60/0.99 % 0.60/0.99 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom, % 0.60/0.99 ! [P,Q,R] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(P),Q),R) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(P,R),Q) ). % 0.60/0.99 % 0.60/0.99 %----Conjectures (7) % 0.60/0.99 fof(conj_0,hypothesis, % 0.60/0.99 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)) ). % 0.60/0.99 % 0.60/0.99 fof(conj_1,hypothesis, % 0.60/0.99 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ). % 0.60/0.99 % 0.60/0.99 fof(conj_2,hypothesis, % 0.60/0.99 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))) ). % 0.60/0.99 % 0.60/0.99 fof(conj_3,hypothesis, % 0.60/0.99 hAPP_fun_a_bool_nat(finite_card_a,g) = hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)) ). % 0.60/0.99 % 0.60/0.99 fof(conj_4,hypothesis, % 0.60/0.99 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ). % 0.60/0.99 % 0.60/0.99 fof(conj_5,hypothesis, % 0.60/0.99 ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)) ). % 0.60/0.99 % 0.60/0.99 fof(conj_6,conjecture, % 0.60/0.99 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))) ). % 0.60/0.99 % 0.60/0.99 %------------------------------------------------------------------------------ % 0.60/0.99 %------------------------------------------- % 0.60/0.99 % Proof found % 0.60/0.99 % SZS status Theorem for theBenchmark % 0.60/0.99 % SZS output start Proof % 0.60/0.99 %ClaNum:866(EqnAxiom:337) % 0.60/0.99 %VarNum:2019(SingletonVarNum:982) % 0.60/0.99 %MaxLitNum:6 % 0.60/0.99 %MaxfuncDepth:7 % 0.60/0.99 %SharedTerms:128 % 0.60/0.99 %goalClause: 452 % 0.60/0.99 %singleGoalClaCount:1 % 0.60/0.99 [338]P1(a1) % 0.60/0.99 [339]P7(a100) % 0.60/0.99 [340]P2(a2) % 0.60/0.99 [341]P3(a97) % 0.60/0.99 [342]P8(a101) % 0.60/0.99 [343]P4(f228(a227)) % 0.60/0.99 [344]P8(f232(a225)) % 0.60/0.99 [345]P5(f102(a97,a100)) % 0.60/0.99 [369]P1(f233(f99(a227,a3))) % 0.60/0.99 [370]P7(f229(f99(a225,a3))) % 0.60/0.99 [372]P5(f102(f165(a200,a101),a100)) % 0.60/0.99 [421]P5(f154(f117(a212,a1),f201(a214,a100))) % 0.60/0.99 [424]E(f164(f213(f157(a43,f201(a214,a100))),f164(a226,a215)),f157(a43,a1)) % 0.60/0.99 [452]~P5(f154(f117(a212,f46(f37(f11(a44,f111(f19(a75),f168(a214,a101))),f136(f20(a203),a1)))),f201(a214,a100))) % 0.60/0.99 [422]P2(f230(f99(f99(a227,a3),a3))) % 0.60/0.99 [423]P3(f231(f99(f99(a225,a3),a3))) % 0.60/0.99 [427]P5(f158(f159(a199,f164(a226,a215)),f157(a43,f201(a214,a100)))) % 0.60/0.99 [450]~P5(f154(f108(a203,f168(a214,a101)),a1)) % 0.60/0.99 [449]~E(f164(a226,x4491),x4491) % 0.60/0.99 [374]P5(f158(f159(a199,x3741),x3741)) % 0.60/0.99 [376]P5(f154(f117(a212,x3761),x3761)) % 0.60/0.99 [378]P5(f102(f141(a216,x3781),x3781)) % 0.60/0.99 [380]P5(f126(f106(a217,x3801),x3801)) % 0.60/0.99 [371]E(f128(a4,f159(f5(a199),x3711)),f164(a226,x3711)) % 0.60/0.99 [394]P5(f126(a98,f159(f5(a199),x3941))) % 0.60/0.99 [451]~P5(f158(f159(a199,f164(a226,x4511)),x4511)) % 0.60/0.99 [346]P1(f120(x3461,x3462)) % 0.60/0.99 [347]P1(f121(x3471,x3472)) % 0.60/0.99 [348]P1(f122(x3481,x3482)) % 0.60/0.99 [349]P1(f123(x3491,x3492)) % 0.60/0.99 [350]P1(f187(x3501,x3502)) % 0.60/0.99 [351]P1(f124(x3511,x3512)) % 0.60/0.99 [352]P7(f197(x3521,x3522)) % 0.60/0.99 [353]P7(f161(x3531,x3532)) % 0.60/0.99 [354]P7(f190(x3541,x3542)) % 0.60/0.99 [355]P7(f162(x3551,x3552)) % 0.60/0.99 [356]P7(f163(x3561,x3562)) % 0.60/0.99 [357]P7(f125(x3571,x3572)) % 0.60/0.99 [358]P2(f198(x3581,x3582)) % 0.60/0.99 [359]P3(f178(x3591,x3592)) % 0.60/0.99 [360]P6(f158(x3601,x3602)) % 0.60/0.99 [361]P6(f126(x3611,x3612)) % 0.60/0.99 [362]P6(f103(x3621,x3622)) % 0.60/0.99 [363]P6(f127(x3631,x3632)) % 0.60/0.99 [364]P6(f140(x3641,x3642)) % 0.60/0.99 [365]P6(f143(x3651,x3652)) % 0.60/0.99 [366]P6(f104(x3661,x3662)) % 0.60/0.99 [367]P6(f144(x3671,x3672)) % 0.60/0.99 [368]P6(f105(x3681,x3682)) % 0.60/0.99 [420]E(f164(f213(f164(a226,x4201)),f164(a226,x4202)),f164(f213(x4201),x4202)) % 0.60/0.99 [426]P5(f158(f159(a199,f164(f213(x4261),x4262)),x4261)) % 0.60/0.99 [431]P5(f126(f106(a217,x4311),f42(f9(a44,f159(f5(a79),x4312)),f151(f26(a211),x4311)))) % 0.60/0.99 [432]P5(f126(f160(a211,x4321),f42(f9(a44,f159(f5(a79),x4321)),f151(f26(a211),x4322)))) % 0.60/0.99 [428]E(f41(f16(a44,f106(f28(a74),x4281)),f114(f24(a202),x4282)),f41(f16(a78,f14(a45,f106(f28(a74),x4281))),x4282)) % 0.60/0.99 [429]E(f42(f9(a44,f159(f5(a79),x4291)),f151(f26(a211),x4292)),f42(f9(a78,f18(a45,f159(f5(a79),x4291))),x4292)) % 0.60/0.99 [437]E(f42(f9(a44,f159(f5(a79),x4371)),f151(f26(a211),f42(f9(a44,f159(f5(a79),x4371)),f151(f26(a211),x4372)))),f42(f9(a44,f159(f5(a79),x4371)),f151(f26(a211),x4372))) % 0.60/0.99 [439]P5(f154(f108(a203,x4391),f46(f37(f11(a44,f111(f19(a75),x4391)),f136(f20(a203),x4392))))) % 0.60/0.99 [440]P5(f154(f117(a212,x4401),f46(f37(f11(a44,f111(f19(a75),x4402)),f136(f20(a203),x4401))))) % 0.60/0.99 [441]P5(f102(f165(a200,x4411),f54(f38(f17(a44,f170(f21(a80),x4411)),f148(f22(a200),x4412))))) % 0.60/0.99 [442]P5(f102(f141(a216,x4421),f54(f38(f17(a44,f170(f21(a80),x4422)),f148(f22(a200),x4421))))) % 0.60/0.99 [433]E(f46(f37(f11(a44,f111(f19(a75),x4331)),f136(f20(a203),f46(x4332)))),f46(f37(f11(a78,f6(a45,f111(f19(a75),x4331))),x4332))) % 0.60/0.99 [434]E(f54(f38(f17(a44,f170(f21(a80),x4341)),f148(f22(a200),f54(x4342)))),f54(f38(f17(a78,f7(a45,f170(f21(a80),x4341))),x4342))) % 0.60/0.99 [435]E(f55(f39(f15(a44,f117(f27(a77),x4351)),f138(f29(a210),f55(x4352)))),f55(f39(f15(a78,f10(a45,f117(f27(a77),x4351))),x4352))) % 0.60/0.99 [436]E(f47(f40(f12(a44,f141(f23(a76),x4361)),f145(f30(a204),f47(x4362)))),f47(f40(f12(a78,f13(a45,f141(f23(a76),x4361))),x4362))) % 0.60/0.99 [444]E(f46(f37(f11(a44,f111(f19(a75),x4441)),f136(f20(a203),f46(f37(f11(a44,f111(f19(a75),x4441)),f136(f20(a203),x4442)))))),f46(f37(f11(a44,f111(f19(a75),x4441)),f136(f20(a203),x4442)))) % 0.60/0.99 [445]E(f54(f38(f17(a44,f170(f21(a80),x4451)),f148(f22(a200),f54(f38(f17(a44,f170(f21(a80),x4451)),f148(f22(a200),x4452)))))),f54(f38(f17(a44,f170(f21(a80),x4451)),f148(f22(a200),x4452)))) % 0.60/0.99 [381]E(f110(x3811,f107(x3812,x3813)),f107(f6(x3811,x3812),x3813)) % 0.60/0.99 [382]E(f167(f7(x3821,x3822),x3823),f110(x3821,f167(x3822,x3823))) % 0.60/0.99 [383]E(f111(x3831,f168(x3832,x3833)),f166(f8(x3831,x3832),x3833)) % 0.60/0.99 [384]E(f110(x3841,f158(x3842,x3843)),f158(f18(x3841,x3842),x3843)) % 0.60/0.99 [385]E(f110(x3851,f154(x3852,x3853)),f154(f10(x3851,x3852),x3853)) % 0.60/0.99 [386]E(f110(x3861,f102(x3862,x3863)),f102(f13(x3861,x3862),x3863)) % 0.60/0.99 [387]E(f110(x3871,f126(x3872,x3873)),f126(f14(x3871,x3872),x3873)) % 0.60/0.99 [388]E(f112(x3881,f107(x3882,x3883)),f113(f11(x3881,x3882),x3883)) % 0.60/0.99 [389]E(f156(f9(x3891,x3892),x3893),f112(x3891,f158(x3892,x3893))) % 0.60/0.99 [390]E(f169(f17(x3901,x3902),x3903),f112(x3901,f167(x3902,x3903))) % 0.60/0.99 [391]E(f129(f15(x3911,x3912),x3913),f112(x3911,f154(x3912,x3913))) % 0.60/0.99 [392]E(f130(f16(x3921,x3922),x3923),f112(x3921,f126(x3922,x3923))) % 0.60/0.99 [393]E(f118(f12(x3931,x3932),x3933),f112(x3931,f102(x3932,x3933))) % 0.60/0.99 [414]E(f110(f113(x4141,x4142),f107(x4143,x4142)),f107(f37(x4141,x4143),x4142)) % 0.60/0.99 [415]E(f110(f169(x4151,x4152),f167(x4153,x4152)),f167(f38(x4151,x4153),x4152)) % 0.60/0.99 [416]E(f110(f156(x4161,x4162),f158(x4163,x4162)),f158(f42(x4161,x4163),x4162)) % 0.60/0.99 [417]E(f110(f129(x4171,x4172),f154(x4173,x4172)),f154(f39(x4171,x4173),x4172)) % 0.60/0.99 [418]E(f110(f118(x4181,x4182),f102(x4183,x4182)),f102(f40(x4181,x4183),x4182)) % 0.60/0.99 [419]E(f110(f130(x4191,x4192),f126(x4193,x4192)),f126(f41(x4191,x4193),x4192)) % 0.60/0.99 [395]E(f107(f111(f19(x3951),x3952),x3953),f107(f111(x3951,x3953),x3952)) % 0.60/0.99 [396]E(f107(f136(f20(x3961),x3962),x3963),f154(f108(x3961,x3963),x3962)) % 0.60/0.99 [397]E(f167(f109(f36(x3971),x3972),x3973),f107(f166(x3971,x3973),x3972)) % 0.60/0.99 [398]E(f167(f170(f21(x3981),x3982),x3983),f167(f170(x3981,x3983),x3982)) % 0.60/0.99 [399]E(f167(f148(f22(x3991),x3992),x3993),f102(f165(x3991,x3993),x3992)) % 0.60/0.99 [400]E(f158(f159(f5(x4001),x4002),x4003),f158(f159(x4001,x4003),x4002)) % 0.60/0.99 [401]E(f158(f151(f26(x4011),x4012),x4013),f126(f160(x4011,x4013),x4012)) % 0.60/0.99 [402]E(f154(f117(f27(x4021),x4022),x4023),f154(f117(x4021,x4023),x4022)) % 0.60/0.99 [403]E(f154(f138(f29(x4031),x4032),x4033),f149(f139(x4031,x4033),x4032)) % 0.60/0.99 [404]E(f102(f141(f23(x4041),x4042),x4043),f102(f141(x4041,x4043),x4042)) % 0.60/0.99 [405]E(f102(f145(f30(x4051),x4052),x4053),f132(f146(x4051,x4053),x4052)) % 0.60/0.99 [406]E(f126(f106(f28(x4061),x4062),x4063),f126(f106(x4061,x4063),x4062)) % 0.60/0.99 [407]E(f126(f114(f24(x4071),x4072),x4073),f103(f135(x4071,x4073),x4072)) % 0.60/0.99 [408]E(f149(f119(f31(x4081),x4082),x4083),f149(f119(x4081,x4083),x4082)) % 0.60/0.99 [409]E(f132(f142(f32(x4091),x4092),x4093),f132(f142(x4091,x4093),x4092)) % 0.60/0.99 [410]E(f103(f133(f33(x4101),x4102),x4103),f103(f133(x4101,x4103),x4102)) % 0.60/0.99 [411]E(f127(f115(f35(x4111),x4112),x4113),f127(f115(x4111,x4113),x4112)) % 0.60/0.99 [412]E(f140(f134(f34(x4121),x4122),x4123),f140(f134(x4121,x4123),x4122)) % 0.60/0.99 [413]E(f143(f152(f25(x4131),x4132),x4133),f143(f152(x4131,x4133),x4132)) % 0.60/0.99 [425]E(f164(f213(f164(f213(x4251),x4252)),x4253),f164(f213(f164(f213(x4251),x4253)),x4252)) % 0.60/0.99 [430]E(f164(f213(f164(f213(f164(a226,x4301)),x4302)),f164(a226,x4303)),f164(f213(f164(f213(x4301),x4302)),x4303)) % 0.60/0.99 [438]E(f46(f37(f11(a44,f111(f19(a75),f168(x4381,x4382))),f136(f20(a203),f201(x4381,x4383)))),f201(x4381,f54(f38(f17(a44,f170(f21(a80),x4382)),f148(f22(a200),x4383))))) % 0.60/0.99 [443]E(f42(f9(a44,f159(f5(a79),x4431)),f151(f26(a211),f42(f9(a44,f159(f5(a79),x4432)),f151(f26(a211),x4433)))),f42(f9(a44,f159(f5(a79),x4432)),f151(f26(a211),f42(f9(a44,f159(f5(a79),x4431)),f151(f26(a211),x4433))))) % 0.60/0.99 [446]E(f46(f37(f11(a44,f111(f19(a75),x4461)),f136(f20(a203),f46(f37(f11(a44,f111(f19(a75),x4462)),f136(f20(a203),x4463)))))),f46(f37(f11(a44,f111(f19(a75),x4462)),f136(f20(a203),f46(f37(f11(a44,f111(f19(a75),x4461)),f136(f20(a203),x4463))))))) % 0.60/0.99 [447]E(f54(f38(f17(a44,f170(f21(a80),x4471)),f148(f22(a200),f54(f38(f17(a44,f170(f21(a80),x4472)),f148(f22(a200),x4473)))))),f54(f38(f17(a44,f170(f21(a80),x4472)),f148(f22(a200),f54(f38(f17(a44,f170(f21(a80),x4471)),f148(f22(a200),x4473))))))) % 0.60/0.99 [453]~P7(x4531)+E(f54(x4531),x4531) % 0.60/0.99 [454]~P2(x4541)+E(f55(x4541),x4541) % 0.60/0.99 [455]~P3(x4551)+E(f47(x4551),x4551) % 0.60/0.99 [456]~P1(x4561)+P1(f46(x4561)) % 0.60/0.99 [457]~P7(x4571)+P7(f54(x4571)) % 0.60/0.99 [458]~P2(x4581)+P2(f55(x4581)) % 0.60/0.99 [459]~P1(x4591)+P2(f224(x4591)) % 0.60/0.99 [460]~P3(x4601)+P3(f47(x4601)) % 0.60/0.99 [461]P5(x4611)+P5(f110(a45,x4611)) % 0.60/0.99 [502]~P5(x5021)+~P5(f110(a45,x5021)) % 0.60/0.99 [582]~P5(f126(a98,x5821))+P5(f103(a82,f106(f28(a217),x5821))) % 0.60/0.99 [608]~P5(f154(a2,x6081))+P5(f149(a81,f55(f117(f27(a212),x6081)))) % 0.60/0.99 [609]~P5(f102(a97,x6091))+P5(f132(a93,f47(f141(f23(a216),x6091)))) % 0.60/0.99 [610]~P5(f149(a81,x6101))+P5(f127(a83,f52(f119(f31(a218),x6101)))) % 0.60/0.99 [611]~P5(f132(a93,x6111))+P5(f140(a94,f48(f142(f32(a221),x6111)))) % 0.60/0.99 [612]~P5(f103(a82,x6121))+P5(f143(a88,f49(f133(f33(a219),x6121)))) % 0.60/0.99 [613]~P5(f127(a83,x6131))+P5(f104(a84,f50(f115(f35(a223),x6131)))) % 0.60/0.99 [614]~P5(f140(a94,x6141))+P5(f144(a89,f53(f134(f34(a220),x6141)))) % 0.60/0.99 [615]~P5(f143(a88,x6151))+P5(f105(a95,f51(f152(f25(a222),x6151)))) % 0.60/0.99 [462]~P1(x4622)+P1(f6(x4621,x4622)) % 0.60/0.99 [463]~P1(x4632)+P1(f37(x4631,x4632)) % 0.60/0.99 [464]~P1(x4642)+P1(f192(x4641,x4642)) % 0.60/0.99 [465]~P7(x4652)+P1(f201(x4651,x4652)) % 0.60/0.99 [466]~P2(x4662)+P1(f193(x4661,x4662)) % 0.60/0.99 [467]~P3(x4672)+P1(f191(x4671,x4672)) % 0.60/0.99 [468]~P4(x4682)+P1(f111(x4681,x4682)) % 0.60/0.99 [469]~P8(x4692)+P1(f166(x4691,x4692)) % 0.60/0.99 [470]~P1(x4702)+P1(f136(x4701,x4702)) % 0.60/0.99 [471]~P7(x4712)+P7(f7(x4711,x4712)) % 0.60/0.99 [472]~P7(x4722)+P7(f38(x4721,x4722)) % 0.60/0.99 [473]~P1(x4732)+P7(f194(x4731,x4732)) % 0.60/0.99 [474]~P7(x4742)+P7(f205(x4741,x4742)) % 0.60/0.99 [475]~P2(x4752)+P7(f181(x4751,x4752)) % 0.60/0.99 [476]~P3(x4762)+P7(f171(x4761,x4762)) % 0.60/0.99 [477]~P4(x4772)+P7(f109(x4771,x4772)) % 0.60/0.99 [478]~P8(x4782)+P7(f170(x4781,x4782)) % 0.60/0.99 [479]~P7(x4792)+P7(f148(x4791,x4792)) % 0.60/0.99 [480]~P2(x4802)+P2(f10(x4801,x4802)) % 0.60/0.99 [481]~P2(x4812)+P2(f39(x4811,x4812)) % 0.60/0.99 [482]~P7(x4822)+P2(f172(x4821,x4822)) % 0.60/0.99 [483]~P4(x4832)+P2(f108(x4831,x4832)) % 0.60/0.99 [484]~P1(x4842)+P2(f117(x4841,x4842)) % 0.60/0.99 [485]~P2(x4852)+P2(f138(x4851,x4852)) % 0.60/0.99 [486]~P3(x4862)+P3(f13(x4861,x4862)) % 0.60/0.99 [487]~P3(x4872)+P3(f40(x4871,x4872)) % 0.60/0.99 [488]~P7(x4882)+P3(f188(x4881,x4882)) % 0.60/0.99 [489]~P8(x4892)+P3(f165(x4891,x4892)) % 0.60/0.99 [490]~P7(x4902)+P3(f141(x4901,x4902)) % 0.60/0.99 [491]~P3(x4912)+P3(f145(x4911,x4912)) % 0.60/0.99 [492]~P8(x4922)+P4(f168(x4921,x4922)) % 0.60/0.99 [493]~P6(x4932)+P6(f110(x4931,x4932)) % 0.60/0.99 [494]~P2(x4942)+P6(f149(x4941,x4942)) % 0.60/0.99 [495]~P3(x4952)+P6(f132(x4951,x4952)) % 0.60/0.99 [497]E(x4971,x4972)+~E(f164(a226,x4971),f164(a226,x4972)) % 0.60/0.99 [503]~E(x5031,x5032)+P5(f107(f111(a75,x5031),x5032)) % 0.60/0.99 [504]~E(x5041,x5042)+P5(f167(f170(a80,x5041),x5042)) % 0.60/0.99 [505]~E(x5051,x5052)+P5(f158(f159(a199,x5051),x5052)) % 0.60/0.99 [506]~E(x5061,x5062)+P5(f158(f159(a79,x5061),x5062)) % 0.60/0.99 [507]~E(x5072,x5071)+P5(f154(f117(a212,x5071),x5072)) % 0.60/0.99 [510]~E(x5101,x5102)+P5(f154(f117(a212,x5101),x5102)) % 0.60/0.99 [511]~E(x5111,x5112)+P5(f154(f117(a77,x5111),x5112)) % 0.60/0.99 [512]~E(x5122,x5121)+P5(f102(f141(a216,x5121),x5122)) % 0.60/0.99 [515]~E(x5151,x5152)+P5(f102(f141(a216,x5151),x5152)) % 0.60/0.99 [516]~E(x5161,x5162)+P5(f102(f141(a76,x5161),x5162)) % 0.60/0.99 [517]~E(x5172,x5171)+P5(f126(f106(a217,x5171),x5172)) % 0.60/0.99 [522]~E(x5221,x5222)+P5(f126(f106(a217,x5221),x5222)) % 0.60/0.99 [523]~E(x5231,x5232)+P5(f126(f106(a74,x5231),x5232)) % 0.60/0.99 [524]P5(x5241)+P5(f110(f112(a78,x5241),x5242)) % 0.60/0.99 [525]~P5(x5252)+P5(f110(f112(a44,x5251),x5252)) % 0.60/0.99 [526]~P5(x5261)+P5(f110(f112(a44,x5261),x5262)) % 0.60/0.99 [527]~P5(x5272)+P5(f110(f112(a78,x5271),x5272)) % 0.60/0.99 [533]P4(f56(x5331,x5332))+P5(f154(f117(a212,x5332),x5331)) % 0.60/0.99 [534]P8(f58(x5341,x5342))+P5(f102(f141(a216,x5342),x5341)) % 0.60/0.99 [535]E(x5351,x5352)+~P5(f158(f159(a79,x5351),x5352)) % 0.60/0.99 [536]E(x5361,x5362)+~P5(f126(f106(a74,x5361),x5362)) % 0.60/0.99 [537]~P5(f154(a2,x5372))+P5(f154(a2,f192(x5371,x5372))) % 0.60/0.99 [538]~P5(f102(a97,x5382))+P5(f154(a2,f201(x5381,x5382))) % 0.60/0.99 [539]~P5(f126(a98,x5392))+P5(f154(a2,f120(x5391,x5392))) % 0.60/0.99 [540]~P5(f149(a81,x5402))+P5(f154(a2,f193(x5401,x5402))) % 0.60/0.99 [541]~P5(f132(a93,x5412))+P5(f154(a2,f191(x5411,x5412))) % 0.60/0.99 [542]~P5(f103(a82,x5422))+P5(f154(a2,f121(x5421,x5422))) % 0.60/0.99 [543]~P5(f154(a2,x5432))+P5(f102(a97,f194(x5431,x5432))) % 0.60/0.99 [544]~P5(f102(a97,x5442))+P5(f102(a97,f205(x5441,x5442))) % 0.60/0.99 [545]~P5(f126(a98,x5452))+P5(f102(a97,f197(x5451,x5452))) % 0.60/0.99 [546]~P5(f149(a81,x5462))+P5(f102(a97,f181(x5461,x5462))) % 0.60/0.99 [547]~P5(f132(a93,x5472))+P5(f102(a97,f171(x5471,x5472))) % 0.60/0.99 [548]~P5(f103(a82,x5482))+P5(f102(a97,f161(x5481,x5482))) % 0.60/0.99 [549]~P5(f127(a83,x5492))+P5(f102(a97,f190(x5491,x5492))) % 0.60/0.99 [550]~P5(f140(a94,x5502))+P5(f102(a97,f162(x5501,x5502))) % 0.60/0.99 [551]~P5(f143(a88,x5512))+P5(f102(a97,f163(x5511,x5512))) % 0.60/0.99 [552]~P5(f143(a88,x5522))+P5(f126(a98,f184(x5521,x5522))) % 0.60/0.99 [553]~P5(f140(a94,x5532))+P5(f126(a98,f173(x5531,x5532))) % 0.60/0.99 [554]~P5(f127(a83,x5542))+P5(f126(a98,f182(x5541,x5542))) % 0.60/0.99 [555]~P5(f149(a81,x5552))+P5(f126(a98,f196(x5551,x5552))) % 0.60/0.99 [556]~P5(f132(a93,x5562))+P5(f126(a98,f176(x5561,x5562))) % 0.60/0.99 [557]~P5(f103(a82,x5572))+P5(f126(a98,f189(x5571,x5572))) % 0.60/0.99 [558]~P5(f154(a2,x5582))+P5(f126(a98,f195(x5581,x5582))) % 0.60/0.99 [559]~P5(f102(a97,x5592))+P5(f126(a98,f206(x5591,x5592))) % 0.60/0.99 [560]~P5(f102(a97,x5602))+P5(f149(a81,f172(x5601,x5602))) % 0.60/0.99 [561]~P5(f126(a98,x5612))+P5(f149(a81,f198(x5611,x5612))) % 0.60/0.99 [562]~P5(f102(a97,x5622))+P5(f132(a93,f188(x5621,x5622))) % 0.60/0.99 [563]~P5(f126(a98,x5632))+P5(f132(a93,f178(x5631,x5632))) % 0.60/0.99 [564]~P5(f126(a98,x5642))+P5(f103(a82,f185(x5641,x5642))) % 0.60/0.99 [565]~P5(f102(a97,x5652))+P5(f103(a82,f186(x5651,x5652))) % 0.60/0.99 [566]~P5(f126(a98,x5662))+P5(f127(a83,f174(x5661,x5662))) % 0.60/0.99 [567]~P5(f102(a97,x5672))+P5(f127(a83,f177(x5671,x5672))) % 0.60/0.99 [568]~P5(f127(a83,x5682))+P5(f127(a83,f207(x5681,x5682))) % 0.60/0.99 [569]~P5(f126(a98,x5692))+P5(f140(a94,f183(x5691,x5692))) % 0.60/0.99 [570]~P5(f102(a97,x5702))+P5(f140(a94,f179(x5701,x5702))) % 0.60/0.99 [571]~P5(f140(a94,x5712))+P5(f140(a94,f208(x5711,x5712))) % 0.60/0.99 [572]~P5(f126(a98,x5722))+P5(f143(a88,f180(x5721,x5722))) % 0.60/0.99 [573]~P5(f102(a97,x5732))+P5(f143(a88,f175(x5731,x5732))) % 0.60/0.99 [574]~P5(f143(a88,x5742))+P5(f143(a88,f209(x5741,x5742))) % 0.60/0.99 [575]~P5(f107(x5752,x5751))+P5(f154(f108(a203,x5751),x5752)) % 0.60/0.99 [576]~P5(f167(x5762,x5761))+P5(f102(f165(a200,x5761),x5762)) % 0.60/0.99 [577]~P5(f158(x5772,x5771))+P5(f126(f160(a211,x5771),x5772)) % 0.60/0.99 [578]P5(x5781)+~P5(f110(f112(a73,x5782),x5781)) % 0.60/0.99 [579]P5(x5791)+~P5(f110(f112(a73,x5791),x5792)) % 0.60/0.99 [588]P5(f107(x5881,x5882))+~P5(f154(f108(a203,x5882),x5881)) % 0.60/0.99 [589]P5(f167(x5891,x5892))+~P5(f102(f165(a200,x5892),x5891)) % 0.60/0.99 [590]P5(f158(x5901,x5902))+~P5(f126(f160(a211,x5902),x5901)) % 0.60/0.99 [591]P5(f158(f159(a199,x5912),x5911))+P5(f158(f159(a199,x5911),x5912)) % 0.60/0.99 [592]P5(f154(f224(x5921),x5922))+~P5(f154(f117(a212,x5922),x5921)) % 0.60/0.99 [622]~P5(f158(f159(a199,x6221),x6222))+P5(f158(f159(a199,x6221),f164(a226,x6222))) % 0.60/0.99 [676]~P5(f158(f159(a199,x6761),x6762))+P5(f158(f159(a199,f164(a226,x6761)),f164(a226,x6762))) % 0.60/0.99 [703]P5(f158(f159(a199,x7031),x7032))+~P5(f158(f159(a199,f164(a226,x7031)),f164(a226,x7032))) % 0.60/0.99 [716]~P5(f149(a81,x7162))+P5(f158(f159(a199,f128(a4,f196(x7161,x7162))),f137(a86,x7162))) % 0.60/0.99 [717]~P5(f132(a93,x7172))+P5(f158(f159(a199,f128(a4,f176(x7171,x7172))),f147(a85,x7172))) % 0.60/0.99 [718]~P5(f103(a82,x7182))+P5(f158(f159(a199,f128(a4,f189(x7181,x7182))),f150(a91,x7182))) % 0.60/0.99 [719]~P5(f154(a2,x7192))+P5(f158(f159(a199,f128(a4,f195(x7191,x7192))),f157(a43,x7192))) % 0.60/0.99 [720]~P5(f102(a97,x7202))+P5(f158(f159(a199,f128(a4,f206(x7201,x7202))),f153(a96,x7202))) % 0.60/0.99 [721]~P5(f154(a2,x7212))+P5(f158(f159(a199,f153(a96,f194(x7211,x7212))),f157(a43,x7212))) % 0.60/0.99 [722]~P5(f102(a97,x7222))+P5(f158(f159(a199,f153(a96,f205(x7221,x7222))),f153(a96,x7222))) % 0.60/0.99 [723]~P5(f126(a98,x7232))+P5(f158(f159(a199,f153(a96,f197(x7231,x7232))),f128(a4,x7232))) % 0.60/0.99 [724]~P5(f149(a81,x7242))+P5(f158(f159(a199,f153(a96,f181(x7241,x7242))),f137(a86,x7242))) % 0.60/0.99 [725]~P5(f132(a93,x7252))+P5(f158(f159(a199,f153(a96,f171(x7251,x7252))),f147(a85,x7252))) % 0.60/0.99 [726]~P5(f103(a82,x7262))+P5(f158(f159(a199,f153(a96,f161(x7261,x7262))),f150(a91,x7262))) % 0.60/0.99 [727]~P5(f154(a2,x7272))+P5(f158(f159(a199,f157(a43,f192(x7271,x7272))),f157(a43,x7272))) % 0.60/0.99 [728]~P5(f102(a97,x7282))+P5(f158(f159(a199,f157(a43,f201(x7281,x7282))),f153(a96,x7282))) % 0.60/0.99 [729]~P5(f126(a98,x7292))+P5(f158(f159(a199,f157(a43,f120(x7291,x7292))),f128(a4,x7292))) % 0.60/0.99 [730]~P5(f149(a81,x7302))+P5(f158(f159(a199,f157(a43,f193(x7301,x7302))),f137(a86,x7302))) % 0.60/0.99 [731]~P5(f132(a93,x7312))+P5(f158(f159(a199,f157(a43,f191(x7311,x7312))),f147(a85,x7312))) % 0.60/0.99 [732]~P5(f103(a82,x7322))+P5(f158(f159(a199,f157(a43,f121(x7321,x7322))),f150(a91,x7322))) % 0.60/0.99 [733]~P5(f127(a83,x7332))+P5(f158(f159(a199,f157(a43,f122(x7331,x7332))),f116(a90,x7332))) % 0.60/0.99 [734]~P5(f140(a94,x7342))+P5(f158(f159(a199,f157(a43,f123(x7341,x7342))),f155(a92,x7342))) % 0.60/0.99 [735]~P5(f143(a88,x7352))+P5(f158(f159(a199,f157(a43,f187(x7351,x7352))),f131(a87,x7352))) % 0.60/0.99 [736]~P5(f126(a98,x7362))+P5(f158(f159(a199,f150(a91,f185(x7361,x7362))),f128(a4,x7362))) % 0.60/0.99 [737]~P5(f102(a97,x7372))+P5(f158(f159(a199,f150(a91,f186(x7371,x7372))),f153(a96,x7372))) % 0.60/0.99 [738]~P5(f102(a97,x7382))+P5(f158(f159(a199,f147(a85,f188(x7381,x7382))),f153(a96,x7382))) % 0.60/0.99 [739]~P5(f126(a98,x7392))+P5(f158(f159(a199,f147(a85,f178(x7391,x7392))),f128(a4,x7392))) % 0.60/0.99 [740]~P5(f102(a97,x7402))+P5(f158(f159(a199,f137(a86,f172(x7401,x7402))),f153(a96,x7402))) % 0.60/0.99 [741]~P5(f126(a98,x7412))+P5(f158(f159(a199,f137(a86,f198(x7411,x7412))),f128(a4,x7412))) % 0.60/0.99 [593]E(f164(f213(x5931),f164(f213(x5931),x5932)),x5932)+~P5(f158(f159(a199,x5932),x5931)) % 0.60/0.99 [607]P5(f126(a98,x6071))+P5(f126(f160(a211,f60(x6071,x6072)),x6071)) % 0.60/0.99 [616]~P5(f126(a98,x6162))+P5(f126(a98,f42(f9(a73,x6161),x6162))) % 0.60/0.99 [617]~P5(f126(a98,x6171))+P5(f126(a98,f42(f9(a73,x6171),x6172))) % 0.60/0.99 [618]~P5(f103(a82,x6182))+P5(f103(a82,f41(f16(a73,x6181),x6182))) % 0.60/0.99 [619]~P5(f103(a82,x6191))+P5(f103(a82,f41(f16(a73,x6191),x6192))) % 0.60/0.99 [620]E(f164(f213(f164(a226,x6201)),x6202),f164(a226,f164(f213(x6201),x6202)))+~P5(f158(f159(a199,x6202),x6201)) % 0.60/0.99 [626]P5(f158(f159(a199,x6261),x6262))+P5(f158(f159(a199,f164(a226,x6262)),x6261)) % 0.60/0.99 [628]E(f42(f9(a44,f159(f5(a79),x6281)),f151(f26(a211),x6282)),x6282)+~P5(f126(f160(a211,x6281),x6282)) % 0.60/0.99 [629]P5(f154(f117(a212,x6291),x6292))+P5(f154(f108(a203,f56(x6292,x6291)),x6291)) % 0.60/0.99 [630]P5(f102(f141(a216,x6301),x6302))+P5(f102(f165(a200,f58(x6302,x6301)),x6301)) % 0.60/0.99 [631]P5(f126(f106(a217,x6311),x6312))+P5(f126(f160(a211,f57(x6312,x6311)),x6311)) % 0.60/0.99 [646]P5(f126(a98,x6461))+~P5(f126(a98,f42(f9(a44,x6462),x6461))) % 0.60/0.99 [647]P5(f126(a98,x6471))+~P5(f126(a98,f42(f9(a44,x6471),x6472))) % 0.60/0.99 [648]P5(f103(a82,x6481))+~P5(f103(a82,f41(f16(a44,x6482),x6481))) % 0.60/0.99 [649]P5(f103(a82,x6491))+~P5(f103(a82,f41(f16(a44,x6491),x6492))) % 0.60/0.99 [650]E(f164(a226,f63(x6501,x6502)),x6502)+~P5(f158(f159(a199,f164(a226,x6501)),x6502)) % 0.60/0.99 [652]P5(f126(a98,x6521))+~P5(f158(f159(a199,f60(x6521,x6522)),x6522)) % 0.60/0.99 [677]P5(f158(f159(a199,x6771),x6772))+~P5(f158(f159(a199,f164(a226,x6771)),x6772)) % 0.60/0.99 [680]P5(f154(f117(a212,x6801),x6802))+~P5(f154(f108(a203,f56(x6802,x6801)),x6802)) % 0.60/0.99 [681]P5(f102(f141(a216,x6811),x6812))+~P5(f102(f165(a200,f58(x6812,x6811)),x6812)) % 0.60/0.99 [682]P5(f126(f106(a217,x6821),x6822))+~P5(f126(f160(a211,f57(x6822,x6821)),x6822)) % 0.60/0.99 [691]~P5(f158(f159(a199,x6911),x6912))+~P5(f158(f159(a199,f164(a226,x6912)),x6911)) % 0.60/0.99 [692]~P5(f154(a2,f46(x6922)))+P5(f154(a2,f46(f37(f11(a73,x6921),x6922)))) % 0.60/0.99 [693]~P5(f154(a2,f46(x6931)))+P5(f154(a2,f46(f37(f11(a73,x6931),x6932)))) % 0.60/0.99 [694]~P5(f102(a97,f54(x6942)))+P5(f102(a97,f54(f38(f17(a73,x6941),x6942)))) % 0.60/0.99 [695]~P5(f102(a97,f54(x6951)))+P5(f102(a97,f54(f38(f17(a73,x6951),x6952)))) % 0.60/0.99 [696]~P5(f149(a81,f55(x6962)))+P5(f149(a81,f55(f39(f15(a73,x6961),x6962)))) % 0.60/0.99 [697]~P5(f149(a81,f55(x6971)))+P5(f149(a81,f55(f39(f15(a73,x6971),x6972)))) % 0.60/0.99 [698]~P5(f132(a93,f47(x6982)))+P5(f132(a93,f47(f40(f12(a73,x6981),x6982)))) % 0.60/0.99 [699]~P5(f132(a93,f47(x6991)))+P5(f132(a93,f47(f40(f12(a73,x6991),x6992)))) % 0.60/0.99 [750]P5(f154(a2,f46(x7501)))+~P5(f154(a2,f46(f37(f11(a44,x7502),x7501)))) % 0.60/0.99 [751]P5(f154(a2,f46(x7511)))+~P5(f154(a2,f46(f37(f11(a44,x7511),x7512)))) % 0.60/0.99 [752]P5(f102(a97,f54(x7521)))+~P5(f102(a97,f54(f38(f17(a44,x7522),x7521)))) % 0.60/0.99 [753]P5(f102(a97,f54(x7531)))+~P5(f102(a97,f54(f38(f17(a44,x7531),x7532)))) % 0.60/0.99 [754]P5(f149(a81,f55(x7541)))+~P5(f149(a81,f55(f39(f15(a44,x7542),x7541)))) % 0.60/0.99 [755]P5(f149(a81,f55(x7551)))+~P5(f149(a81,f55(f39(f15(a44,x7551),x7552)))) % 0.60/0.99 [756]P5(f132(a93,f47(x7561)))+~P5(f132(a93,f47(f40(f12(a44,x7562),x7561)))) % 0.60/0.99 [757]P5(f132(a93,f47(x7571)))+~P5(f132(a93,f47(f40(f12(a44,x7571),x7572)))) % 0.60/0.99 [765]~P5(f126(a98,x7652))+P5(f126(a98,f42(f9(a44,f159(f5(a79),x7651)),f151(f26(a211),x7652)))) % 0.60/0.99 [767]~P5(f103(a82,x7672))+P5(f103(a82,f41(f16(a44,f106(f28(a74),x7671)),f114(f24(a202),x7672)))) % 0.60/0.99 [797]P5(f126(a98,x7971))+~P5(f126(a98,f42(f9(a44,f159(f5(a79),x7972)),f151(f26(a211),x7971)))) % 0.60/0.99 [798]P5(f103(a82,x7981))+~P5(f103(a82,f41(f16(a44,f106(f28(a74),x7982)),f114(f24(a202),x7981)))) % 0.60/0.99 [808]~P5(f154(a2,x8082))+P5(f154(a2,f46(f37(f11(a44,f111(f19(a75),x8081)),f136(f20(a203),x8082))))) % 0.60/0.99 [810]~P5(f102(a97,x8102))+P5(f102(a97,f54(f38(f17(a44,f170(f21(a80),x8101)),f148(f22(a200),x8102))))) % 0.60/0.99 [812]~P5(f149(a81,x8122))+P5(f149(a81,f55(f39(f15(a44,f117(f27(a77),x8121)),f138(f29(a210),x8122))))) % 0.60/0.99 [814]~P5(f132(a93,x8142))+P5(f132(a93,f47(f40(f12(a44,f141(f23(a76),x8141)),f145(f30(a204),x8142))))) % 0.60/0.99 [829]~P5(f126(a98,x8291))+P5(f158(f159(a199,f128(a4,x8291)),f128(a4,f42(f9(a44,f159(f5(a79),x8292)),f151(f26(a211),x8291))))) % 0.60/0.99 [830]~P5(f103(a82,x8301))+P5(f158(f159(a199,f150(a91,x8301)),f150(a91,f41(f16(a44,f106(f28(a74),x8302)),f114(f24(a202),x8301))))) % 0.60/0.99 [834]P5(f154(a2,x8341))+~P5(f154(a2,f46(f37(f11(a44,f111(f19(a75),x8342)),f136(f20(a203),x8341))))) % 0.60/0.99 [835]P5(f102(a97,x8351))+~P5(f102(a97,f54(f38(f17(a44,f170(f21(a80),x8352)),f148(f22(a200),x8351))))) % 0.60/0.99 [836]P5(f149(a81,x8361))+~P5(f149(a81,f55(f39(f15(a44,f117(f27(a77),x8362)),f138(f29(a210),x8361))))) % 0.60/0.99 [837]P5(f132(a93,x8371))+~P5(f132(a93,f47(f40(f12(a44,f141(f23(a76),x8372)),f145(f30(a204),x8371))))) % 0.60/0.99 [850]~P5(f102(a97,x8501))+P5(f158(f159(a199,f153(a96,x8501)),f153(a96,f54(f38(f17(a44,f170(f21(a80),x8502)),f148(f22(a200),x8501)))))) % 0.60/0.99 [851]~P5(f154(a2,x8511))+P5(f158(f159(a199,f157(a43,x8511)),f157(a43,f46(f37(f11(a44,f111(f19(a75),x8512)),f136(f20(a203),x8511)))))) % 0.60/0.99 [852]~P5(f132(a93,x8521))+P5(f158(f159(a199,f147(a85,x8521)),f147(a85,f47(f40(f12(a44,f141(f23(a76),x8522)),f145(f30(a204),x8521)))))) % 0.60/0.99 [853]~P5(f149(a81,x8531))+P5(f158(f159(a199,f137(a86,x8531)),f137(a86,f55(f39(f15(a44,f117(f27(a77),x8532)),f138(f29(a210),x8531)))))) % 0.60/0.99 [678]~P5(f102(f165(a200,x6782),x6783))+P5(f154(f108(a203,f168(x6781,x6782)),f201(x6781,x6783))) % 0.60/0.99 [679]~P5(f102(f141(a216,x6792),x6793))+P5(f154(f117(a212,f201(x6791,x6792)),f201(x6791,x6793))) % 0.60/0.99 [645]P8(f62(x6451,x6452,x6453))+P5(f154(f117(a212,f201(x6451,x6453)),x6452)) % 0.60/0.99 [704]~P5(f158(f159(a199,x7043),x7042))+P5(f158(f159(a199,f164(f213(x7041),x7042)),f164(f213(x7041),x7043))) % 0.60/0.99 [705]~P5(f158(f159(a199,x7051),x7053))+P5(f158(f159(a199,f164(f213(x7051),x7052)),f164(f213(x7053),x7052))) % 0.60/0.99 [773]P5(f102(f165(a200,f62(x7731,x7733,x7732)),x7732))+P5(f154(f117(a212,f201(x7731,x7732)),x7733)) % 0.60/0.99 [762]~E(x7621,x7623)+P5(f158(f42(f9(a44,f159(f5(a79),x7621)),f151(f26(a211),x7622)),x7623)) % 0.60/0.99 [768]~P5(f158(x7682,x7683))+P5(f158(f42(f9(a44,f159(f5(a79),x7681)),f151(f26(a211),x7682)),x7683)) % 0.60/0.99 [770]~E(x7701,x7702)+P5(f126(f160(a211,x7701),f42(f9(a44,f159(f5(a79),x7702)),f151(f26(a211),x7703)))) % 0.60/0.99 [785]E(f46(f37(f11(a44,f111(f19(a75),f168(x7851,x7852))),f136(f20(a203),f201(x7851,x7853)))),f201(x7851,x7853))+~P5(f102(f165(a200,x7852),x7853)) % 0.60/0.99 [790]~P5(f126(f106(a217,x7901),x7903))+P5(f126(f106(a217,x7901),f42(f9(a44,f159(f5(a79),x7902)),f151(f26(a211),x7903)))) % 0.60/0.99 [793]~P5(f126(f160(a211,x7931),x7933))+P5(f126(f160(a211,x7931),f42(f9(a44,f159(f5(a79),x7932)),f151(f26(a211),x7933)))) % 0.60/0.99 [840]~P5(f126(f106(a217,x8402),x8403))+P5(f126(f106(a217,f42(f9(a44,f159(f5(a79),x8401)),f151(f26(a211),x8402))),f42(f9(a44,f159(f5(a79),x8401)),f151(f26(a211),x8403)))) % 0.60/0.99 [841]P5(f154(f117(a212,f201(x8411,x8412)),x8413))+~P5(f154(f108(a203,f168(x8411,f62(x8411,x8413,x8412))),x8413)) % 0.60/0.99 [815]~E(x8151,x8152)+P5(f154(f108(a203,x8151),f46(f37(f11(a44,f111(f19(a75),x8152)),f136(f20(a203),x8153))))) % 0.60/0.99 [816]~E(x8161,x8162)+P5(f102(f165(a200,x8161),f54(f38(f17(a44,f170(f21(a80),x8162)),f148(f22(a200),x8163))))) % 0.60/0.99 [822]~P5(f154(f108(a203,x8221),x8223))+P5(f154(f108(a203,x8221),f46(f37(f11(a44,f111(f19(a75),x8222)),f136(f20(a203),x8223))))) % 0.60/0.99 [823]~P5(f154(f117(a212,x8231),x8233))+P5(f154(f117(a212,x8231),f46(f37(f11(a44,f111(f19(a75),x8232)),f136(f20(a203),x8233))))) % 0.60/0.99 [825]~P5(f102(f165(a200,x8251),x8253))+P5(f102(f165(a200,x8251),f54(f38(f17(a44,f170(f21(a80),x8252)),f148(f22(a200),x8253))))) % 0.60/0.99 [826]~P5(f102(f141(a216,x8261),x8263))+P5(f102(f141(a216,x8261),f54(f38(f17(a44,f170(f21(a80),x8262)),f148(f22(a200),x8263))))) % 0.60/0.99 [842]P5(f126(f106(a217,x8421),x8422))+~P5(f126(f106(a217,f42(f9(a44,f159(f5(a79),x8423)),f151(f26(a211),x8421))),x8422)) % 0.60/0.99 [843]P5(f126(f160(a211,x8431),x8432))+~P5(f126(f106(a217,f42(f9(a44,f159(f5(a79),x8431)),f151(f26(a211),x8433))),x8432)) % 0.60/0.99 [856]~P5(f154(f117(a212,x8562),x8563))+P5(f154(f117(a212,f46(f37(f11(a44,f111(f19(a75),x8561)),f136(f20(a203),x8562)))),f46(f37(f11(a44,f111(f19(a75),x8561)),f136(f20(a203),x8563))))) % 0.60/0.99 [857]~P5(f102(f141(a216,x8572),x8573))+P5(f102(f141(a216,f54(f38(f17(a44,f170(f21(a80),x8571)),f148(f22(a200),x8572)))),f54(f38(f17(a44,f170(f21(a80),x8571)),f148(f22(a200),x8573))))) % 0.60/0.99 [862]P5(f154(f108(a203,x8621),x8622))+~P5(f154(f117(a212,f46(f37(f11(a44,f111(f19(a75),x8621)),f136(f20(a203),x8623)))),x8622)) % 0.60/0.99 [863]P5(f154(f117(a212,x8631),x8632))+~P5(f154(f117(a212,f46(f37(f11(a44,f111(f19(a75),x8633)),f136(f20(a203),x8631)))),x8632)) % 0.60/0.99 [864]P5(f102(f165(a200,x8641),x8642))+~P5(f102(f141(a216,f54(f38(f17(a44,f170(f21(a80),x8641)),f148(f22(a200),x8643)))),x8642)) % 0.60/0.99 [865]P5(f102(f141(a216,x8651),x8652))+~P5(f102(f141(a216,f54(f38(f17(a44,f170(f21(a80),x8653)),f148(f22(a200),x8651)))),x8652)) % 0.60/0.99 [498]~P1(x4981)+~P4(x4982)+P6(f107(x4981,x4982)) % 0.60/0.99 [499]~P7(x4991)+~P8(x4992)+P6(f167(x4991,x4992)) % 0.60/0.99 [500]~P1(x5002)+~P2(x5001)+P6(f154(x5001,x5002)) % 0.60/0.99 [501]~P7(x5012)+~P3(x5011)+P6(f102(x5011,x5012)) % 0.60/0.99 [528]~P5(x5282)+~P5(x5281)+P5(f110(f112(a73,x5281),x5282)) % 0.60/0.99 [580]P5(x5801)+P5(x5802)+~P5(f110(f112(a44,x5802),x5801)) % 0.60/0.99 [581]P5(x5811)+~P5(x5812)+~P5(f110(f112(a78,x5812),x5811)) % 0.60/0.99 [594]P8(f59(x5941,x5942))+P5(f102(a97,x5942))+~P5(f154(a2,f201(x5941,x5942))) % 0.60/0.99 [596]P5(f154(a2,x5961))+~P5(f154(a2,x5962))+~P5(f154(f117(a212,x5961),x5962)) % 0.60/0.99 [598]P5(f102(a97,x5981))+~P5(f102(a97,x5982))+~P5(f102(f141(a216,x5981),x5982)) % 0.60/0.99 [600]P5(f126(a98,x6001))+~P5(f126(a98,x6002))+~P5(f126(f106(a217,x6001),x6002)) % 0.60/0.99 [602]P5(f149(a81,x6021))+~P5(f149(a81,x6022))+~P5(f149(f119(a218,x6021),x6022)) % 0.60/0.99 [604]P5(f132(a93,x6041))+~P5(f132(a93,x6042))+~P5(f132(f142(a221,x6041),x6042)) % 0.60/0.99 [606]P5(f103(a82,x6061))+~P5(f103(a82,x6062))+~P5(f103(f133(a219,x6061),x6062)) % 0.60/0.99 [623]E(x6231,x6232)+~P5(f158(f159(a199,x6232),x6231))+~P5(f158(f159(a199,x6231),x6232)) % 0.60/0.99 [625]E(x6251,x6252)+~P5(f126(f106(a217,x6252),x6251))+~P5(f126(f106(a217,x6251),x6252)) % 0.60/0.99 [627]~P5(f126(a98,x6272))+~P5(f126(f160(a211,x6271),x6272))+P5(f158(f159(a199,x6271),f61(x6272))) % 0.60/0.99 [642]E(x6421,f164(a226,x6422))+P5(f158(f159(a199,x6421),x6422))+~P5(f158(f159(a199,x6421),f164(a226,x6422))) % 0.60/0.99 [685]~P5(f126(a98,x6852))+~P5(f126(f106(a217,x6851),x6852))+P5(f158(f159(a199,f128(a4,x6851)),f128(a4,x6852))) % 0.60/0.99 [686]~P5(f102(a97,x6862))+~P5(f102(f141(a216,x6861),x6862))+P5(f158(f159(a199,f153(a96,x6861)),f153(a96,x6862))) % 0.60/0.99 [687]~P5(f154(a2,x6872))+~P5(f154(f117(a212,x6871),x6872))+P5(f158(f159(a199,f157(a43,x6871)),f157(a43,x6872))) % 0.60/0.99 [688]~P5(f103(a82,x6882))+~P5(f103(f133(a219,x6881),x6882))+P5(f158(f159(a199,f150(a91,x6881)),f150(a91,x6882))) % 0.60/0.99 [689]~P5(f132(a93,x6892))+~P5(f132(f142(a221,x6891),x6892))+P5(f158(f159(a199,f147(a85,x6891)),f147(a85,x6892))) % 0.60/0.99 [690]~P5(f149(a81,x6902))+~P5(f149(f119(a218,x6901),x6902))+P5(f158(f159(a199,f137(a86,x6901)),f137(a86,x6902))) % 0.60/0.99 [636]~P5(f126(a98,x6362))+~P5(f126(a98,x6361))+P5(f126(a98,f42(f9(a44,x6361),x6362))) % 0.60/0.99 [637]~P5(f103(a82,x6372))+~P5(f103(a82,x6371))+P5(f103(a82,f41(f16(a44,x6371),x6372))) % 0.60/0.99 [675]P5(f102(a97,x6751))+~P5(f154(a2,f201(x6752,x6751)))+P5(f102(f165(a200,f59(x6752,x6751)),x6751)) % 0.60/0.99 [701]~P1(x7012)+E(f46(f37(f11(a44,f111(f19(a75),x7011)),f136(f20(a203),x7012))),x7012)+~P5(f154(f108(a203,x7011),x7012)) % 0.60/0.99 [702]~P7(x7022)+E(f54(f38(f17(a44,f170(f21(a80),x7021)),f148(f22(a200),x7022))),x7022)+~P5(f102(f165(a200,x7021),x7022)) % 0.60/0.99 [707]~P5(f126(a98,x7072))+P5(f126(f160(a211,x7071),x7072))+E(f128(a4,f42(f9(a44,f159(f5(a79),x7071)),f151(f26(a211),x7072))),f164(a226,f128(a4,x7072))) % 0.60/0.99 [709]~P5(f103(a82,x7092))+P5(f103(f135(a202,x7091),x7092))+E(f150(a91,f41(f16(a44,f106(f28(a74),x7091)),f114(f24(a202),x7092))),f164(a226,f150(a91,x7092))) % 0.60/0.99 [710]~P5(f154(a2,f46(x7102)))+~P5(f154(a2,f46(x7101)))+P5(f154(a2,f46(f37(f11(a44,x7101),x7102)))) % 0.60/0.99 [711]~P5(f102(a97,f54(x7112)))+~P5(f102(a97,f54(x7111)))+P5(f102(a97,f54(f38(f17(a44,x7111),x7112)))) % 0.60/0.99 [712]~P5(f149(a81,f55(x7122)))+~P5(f149(a81,f55(x7121)))+P5(f149(a81,f55(f39(f15(a44,x7121),x7122)))) % 0.60/0.99 [713]~P5(f132(a93,f47(x7132)))+~P5(f132(a93,f47(x7131)))+P5(f132(a93,f47(f40(f12(a44,x7131),x7132)))) % 0.60/0.99 [714]~P5(f126(a98,x7142))+~P5(f126(f160(a211,x7141),x7142))+E(f128(a4,f42(f9(a44,f159(f5(a79),x7141)),f151(f26(a211),x7142))),f128(a4,x7142)) % 0.60/0.99 [715]~P5(f103(a82,x7152))+~P5(f103(f135(a202,x7151),x7152))+E(f150(a91,f41(f16(a44,f106(f28(a74),x7151)),f114(f24(a202),x7152))),f150(a91,x7152)) % 0.60/0.99 [758]~P1(x7582)+~P4(x7581)+P1(f46(f37(f11(a44,f111(f19(a75),x7581)),f136(f20(a203),x7582)))) % 0.60/0.99 [759]~P7(x7592)+~P8(x7591)+P7(f54(f38(f17(a44,f170(f21(a80),x7591)),f148(f22(a200),x7592)))) % 0.60/0.99 [760]~P1(x7601)+~P2(x7602)+P2(f55(f39(f15(a44,f117(f27(a77),x7601)),f138(f29(a210),x7602)))) % 0.60/0.99 [761]~P7(x7611)+~P3(x7612)+P3(f47(f40(f12(a44,f141(f23(a76),x7611)),f145(f30(a204),x7612)))) % 0.60/0.99 [775]~P5(f102(a97,x7752))+P5(f102(f165(a200,x7751),x7752))+E(f153(a96,f54(f38(f17(a44,f170(f21(a80),x7751)),f148(f22(a200),x7752)))),f164(a226,f153(a96,x7752))) % 0.60/0.99 [777]~P5(f154(a2,x7772))+P5(f154(f108(a203,x7771),x7772))+E(f157(a43,f46(f37(f11(a44,f111(f19(a75),x7771)),f136(f20(a203),x7772)))),f164(a226,f157(a43,x7772))) % 0.60/0.99 [779]~P5(f132(a93,x7792))+P5(f132(f146(a204,x7791),x7792))+E(f147(a85,f47(f40(f12(a44,f141(f23(a76),x7791)),f145(f30(a204),x7792)))),f164(a226,f147(a85,x7792))) % 0.60/0.99 [781]~P5(f149(a81,x7812))+P5(f149(f139(a210,x7811),x7812))+E(f137(a86,f55(f39(f15(a44,f117(f27(a77),x7811)),f138(f29(a210),x7812)))),f164(a226,f137(a86,x7812))) % 0.60/0.99 [786]~P5(f102(a97,x7862))+~P5(f102(f165(a200,x7861),x7862))+E(f153(a96,f54(f38(f17(a44,f170(f21(a80),x7861)),f148(f22(a200),x7862)))),f153(a96,x7862)) % 0.60/0.99 [787]~P5(f154(a2,x7872))+~P5(f154(f108(a203,x7871),x7872))+E(f157(a43,f46(f37(f11(a44,f111(f19(a75),x7871)),f136(f20(a203),x7872)))),f157(a43,x7872)) % 0.60/0.99 [788]~P5(f132(a93,x7882))+~P5(f132(f146(a204,x7881),x7882))+E(f147(a85,f47(f40(f12(a44,f141(f23(a76),x7881)),f145(f30(a204),x7882)))),f147(a85,x7882)) % 0.60/0.99 [789]~P5(f149(a81,x7892))+~P5(f149(f139(a210,x7891),x7892))+E(f137(a86,f55(f39(f15(a44,f117(f27(a77),x7891)),f138(f29(a210),x7892)))),f137(a86,x7892)) % 0.60/0.99 [866]P5(f102(a97,x8661))+~P5(f154(a2,f201(x8662,x8661)))+~P5(f102(a97,f54(f38(f17(a73,f148(f22(a200),x8661)),f109(f36(f8(a75,x8662)),f168(x8662,f59(x8662,x8661))))))) % 0.60/0.99 [640]P5(f154(a2,x6401))+~P5(f102(a97,x6402))+~P5(f154(f117(a212,x6401),f201(x6403,x6402))) % 0.60/0.99 [653]~P5(f158(f159(a199,x6531),x6533))+P5(f158(f159(a199,x6531),x6532))+~P5(f158(f159(a199,x6533),x6532)) % 0.60/0.99 [657]~P5(f154(f108(a203,x6571),x6573))+~P5(f154(f117(a212,x6573),x6572))+P5(f154(f108(a203,x6571),x6572)) % 0.60/0.99 [658]~P5(f154(f117(a212,x6581),x6583))+P5(f154(f117(a212,x6581),x6582))+~P5(f154(f117(a212,x6583),x6582)) % 0.60/0.99 [662]~P5(f102(f165(a200,x6621),x6623))+~P5(f102(f141(a216,x6623),x6622))+P5(f102(f165(a200,x6621),x6622)) % 0.60/0.99 [663]~P5(f102(f141(a216,x6631),x6633))+P5(f102(f141(a216,x6631),x6632))+~P5(f102(f141(a216,x6633),x6632)) % 0.60/0.99 [664]~P5(f126(f106(a217,x6641),x6643))+P5(f126(f106(a217,x6641),x6642))+~P5(f126(f106(a217,x6643),x6642)) % 0.60/0.99 [668]~P5(f126(f160(a211,x6681),x6683))+P5(f126(f160(a211,x6681),x6682))+~P5(f126(f106(a217,x6683),x6682)) % 0.60/0.99 [669]~P1(x6691)+P7(f70(x6691,x6692,x6693))+~P5(f154(f117(a212,x6691),f201(x6692,x6693))) % 0.60/0.99 [670]~P4(x6701)+P8(f71(x6701,x6702,x6703))+~P5(f154(f108(a203,x6701),f201(x6702,x6703))) % 0.60/0.99 [671]~P4(x6711)+P8(f72(x6711,x6712,x6713))+~P5(f154(f108(a203,x6711),f201(x6712,x6713))) % 0.60/0.99 [672]~P1(x6722)+E(f201(x6721,f70(x6722,x6721,x6723)),x6722)+~P5(f154(f117(a212,x6722),f201(x6721,x6723))) % 0.60/0.99 [673]~P4(x6732)+E(f168(x6731,f71(x6732,x6731,x6733)),x6732)+~P5(f154(f108(a203,x6732),f201(x6731,x6733))) % 0.60/0.99 [674]~P4(x6742)+E(f168(x6741,f72(x6742,x6741,x6743)),x6742)+~P5(f154(f108(a203,x6742),f201(x6741,x6743))) % 0.60/0.99 [700]E(f164(f213(f164(f213(x7001),x7002)),f164(f213(x7003),x7002)),f164(f213(x7001),x7003))+~P5(f158(f159(a199,x7002),x7001))+~P5(f158(f159(a199,x7002),x7003)) % 0.60/0.99 [749]~P5(f158(x7491,x7492))+~P5(f158(x7491,f64(x7493,x7491,x7492)))+P5(f158(x7491,f164(f213(x7492),x7493))) % 0.60/0.99 [771]~P5(f158(x7711,x7712))+P5(f158(x7711,f164(f213(x7712),x7713)))+P5(f158(x7711,f164(a226,f64(x7713,x7711,x7712)))) % 0.60/0.99 [782]~P4(x7821)+~P5(f154(f108(a203,x7821),f201(x7822,x7823)))+P5(f102(f165(a200,f71(x7821,x7822,x7823)),x7823)) % 0.60/0.99 [783]~P4(x7831)+~P5(f154(f108(a203,x7831),f201(x7832,x7833)))+P5(f102(f165(a200,f72(x7831,x7832,x7833)),x7833)) % 0.60/0.99 [784]~P1(x7841)+~P5(f154(f117(a212,x7841),f201(x7842,x7843)))+P5(f102(f141(a216,f70(x7841,x7842,x7843)),x7843)) % 0.60/0.99 [799]E(x7991,x7992)+P5(f158(x7993,x7992))+~P5(f158(f42(f9(a44,f159(f5(a79),x7991)),f151(f26(a211),x7993)),x7992)) % 0.60/0.99 [803]E(x8031,x8032)+P5(f126(f160(a211,x8031),x8033))+~P5(f126(f160(a211,x8031),f42(f9(a44,f159(f5(a79),x8032)),f151(f26(a211),x8033)))) % 0.60/0.99 [804]P5(f126(f106(a217,x8041),x8042))+P5(f126(f160(a211,x8043),x8041))+~P5(f126(f106(a217,x8041),f42(f9(a44,f159(f5(a79),x8043)),f151(f26(a211),x8042)))) % 0.60/0.99 [858]~P5(f158(f159(a199,x8582),x8583))+P5(f158(f159(a199,f164(x8581,x8582)),f164(x8581,x8583)))+~P5(f158(f159(a199,f164(x8581,f66(x8582,x8583,x8581))),f164(x8581,f164(a226,f66(x8582,x8583,x8581))))) % 0.60/0.99 [859]~P5(f158(f159(a199,x8592),x8593))+P5(f154(f117(a212,f124(x8591,x8592)),f124(x8591,x8593)))+~P5(f154(f117(a212,f124(x8591,f69(x8592,x8593,x8591))),f124(x8591,f164(a226,f69(x8592,x8593,x8591))))) % 0.60/0.99 [860]~P5(f158(f159(a199,x8602),x8603))+P5(f102(f141(a216,f125(x8601,x8602)),f125(x8601,x8603)))+~P5(f102(f141(a216,f125(x8601,f67(x8602,x8603,x8601))),f125(x8601,f164(a226,f67(x8602,x8603,x8601))))) % 0.60/0.99 [861]~P5(f158(f159(a199,x8612),x8613))+P5(f126(f106(a217,f159(x8611,x8612)),f159(x8611,x8613)))+~P5(f126(f106(a217,f159(x8611,f68(x8612,x8613,x8611))),f159(x8611,f164(a226,f68(x8612,x8613,x8611))))) % 0.60/0.99 [833]~P5(f126(f106(a217,x8332),x8333))+~P5(f126(f160(a211,x8331),x8333))+P5(f126(f106(a217,f42(f9(a44,f159(f5(a79),x8331)),f151(f26(a211),x8332))),x8333)) % 0.60/0.99 [848]P5(f154(f108(a203,x8481),x8482))+P5(f154(f117(a212,x8482),x8483))+~P5(f154(f117(a212,x8482),f46(f37(f11(a44,f111(f19(a75),x8481)),f136(f20(a203),x8483))))) % 0.60/0.99 [849]P5(f102(f165(a200,x8491),x8492))+P5(f102(f141(a216,x8492),x8493))+~P5(f102(f141(a216,x8492),f54(f38(f17(a44,f170(f21(a80),x8491)),f148(f22(a200),x8493))))) % 0.60/0.99 [854]~P5(f154(f108(a203,x8541),x8543))+~P5(f154(f117(a212,x8542),x8543))+P5(f154(f117(a212,f46(f37(f11(a44,f111(f19(a75),x8541)),f136(f20(a203),x8542)))),x8543)) % 0.60/0.99 [855]~P5(f102(f165(a200,x8551),x8553))+~P5(f102(f141(a216,x8552),x8553))+P5(f102(f141(a216,f54(f38(f17(a44,f170(f21(a80),x8551)),f148(f22(a200),x8552)))),x8553)) % 0.60/0.99 [639]~E(x6391,f168(x6392,x6394))+~P5(f102(f165(a200,x6394),x6393))+P5(f154(f108(a203,x6391),f201(x6392,x6393))) % 0.60/0.99 [583]~P1(x5832)+~P1(x5831)+E(x5831,x5832)+~P5(f154(f117(a77,x5831),x5832)) % 0.60/0.99 [584]~P7(x5842)+~P7(x5841)+E(x5841,x5842)+~P5(f102(f141(a76,x5841),x5842)) % 0.60/0.99 [585]~P4(x5852)+~P4(x5851)+E(x5851,x5852)+~P5(f107(f111(a75,x5851),x5852)) % 0.60/0.99 [586]~P8(x5862)+~P8(x5861)+E(x5861,x5862)+~P5(f167(f170(a80,x5861),x5862)) % 0.60/0.99 [743]E(x7431,x7432)+~P5(f126(a98,x7431))+~P5(f126(f106(a217,x7432),x7431))+~P5(f158(f159(a199,f128(a4,x7431)),f128(a4,x7432))) % 0.60/0.99 [744]E(x7441,x7442)+~P5(f103(a82,x7441))+~P5(f103(f133(a219,x7442),x7441))+~P5(f158(f159(a199,f150(a91,x7441)),f150(a91,x7442))) % 0.60/0.99 [651]E(x6511,x6512)+~E(f164(f213(x6511),x6513),f164(f213(x6512),x6513))+~P5(f158(f159(a199,x6513),x6511))+~P5(f158(f159(a199,x6513),x6512)) % 0.60/0.99 [683]~P1(x6833)+P7(f65(x6831,x6832,x6833))+~P5(f154(a2,x6833))+~P5(f154(f117(a212,x6833),f201(x6831,x6832))) % 0.60/0.99 [684]~P1(x6843)+E(f201(x6841,f65(x6841,x6842,x6843)),x6843)+~P5(f154(a2,x6843))+~P5(f154(f117(a212,x6843),f201(x6841,x6842))) % 0.60/0.99 [742]~P1(x7423)+~P5(f154(a2,x7423))+~P5(f154(f117(a212,x7423),f201(x7421,x7422)))+P5(f102(a97,f65(x7421,x7422,x7423))) % 0.60/0.99 [763]E(x7631,x7632)+~E(f42(f9(a44,f159(f5(a79),x7633)),f151(f26(a211),x7631)),f42(f9(a44,f159(f5(a79),x7633)),f151(f26(a211),x7632)))+P5(f126(f160(a211,x7633),x7631))+P5(f126(f160(a211,x7633),x7632)) % 0.60/0.99 [794]~P1(x7943)+~P5(f154(a2,x7943))+~P5(f154(f117(a212,x7943),f201(x7941,x7942)))+P5(f102(f141(a216,f65(x7941,x7942,x7943)),x7942)) % 0.60/0.99 [795]~P5(f158(f159(a199,x7953),x7951))+P5(f158(f159(a199,x7951),x7952))+~P5(f158(f159(a199,x7953),x7952))+~P5(f158(f159(a199,f164(f213(x7951),x7953)),f164(f213(x7952),x7953))) % 0.60/0.99 [805]~E(x8051,x8053)+~P4(x8053)+~P4(x8051)+P5(f107(f46(f37(f11(a44,f111(f19(a75),x8051)),f136(f20(a203),x8052))),x8053)) % 0.60/0.99 [806]~E(x8061,x8063)+~P8(x8063)+~P8(x8061)+P5(f167(f54(f38(f17(a44,f170(f21(a80),x8061)),f148(f22(a200),x8062))),x8063)) % 0.60/0.99 [817]~P4(x8171)+~P4(x8173)+~P5(f107(x8172,x8173))+P5(f107(f46(f37(f11(a44,f111(f19(a75),x8171)),f136(f20(a203),x8172))),x8173)) % 0.60/0.99 [818]~P8(x8181)+~P8(x8183)+~P5(f167(x8182,x8183))+P5(f167(f54(f38(f17(a44,f170(f21(a80),x8181)),f148(f22(a200),x8182))),x8183)) % 0.60/0.99 [633]~P1(x6332)+~P1(x6331)+E(x6331,x6332)+~P5(f154(f117(a212,x6332),x6331))+~P5(f154(f117(a212,x6331),x6332)) % 0.60/0.99 [635]~P7(x6352)+~P7(x6351)+E(x6351,x6352)+~P5(f102(f141(a216,x6352),x6351))+~P5(f102(f141(a216,x6351),x6352)) % 0.60/0.99 [838]~P4(x8382)+~P4(x8381)+E(x8381,x8382)+P5(f107(x8383,x8382))+~P5(f107(f46(f37(f11(a44,f111(f19(a75),x8381)),f136(f20(a203),x8383))),x8382)) % 0.60/0.99 [839]~P8(x8392)+~P8(x8391)+E(x8391,x8392)+P5(f167(x8393,x8392))+~P5(f167(f54(f38(f17(a44,f170(f21(a80),x8391)),f148(f22(a200),x8393))),x8392)) % 0.60/0.99 [845]~P4(x8452)+~P4(x8451)+E(x8451,x8452)+P5(f154(f108(a203,x8451),x8453))+~P5(f154(f108(a203,x8451),f46(f37(f11(a44,f111(f19(a75),x8452)),f136(f20(a203),x8453))))) % 0.60/0.99 [847]~P8(x8472)+~P8(x8471)+E(x8471,x8472)+P5(f102(f165(a200,x8471),x8473))+~P5(f102(f165(a200,x8471),f54(f38(f17(a44,f170(f21(a80),x8472)),f148(f22(a200),x8473))))) % 0.60/0.99 [644]~P1(x6441)+~P7(x6444)+~E(x6441,f201(x6442,x6444))+~P5(f102(f141(a216,x6444),x6443))+P5(f154(f117(a212,x6441),f201(x6442,x6443))) % 0.60/0.99 [745]~P1(x7452)+~P1(x7451)+E(x7451,x7452)+~P5(f154(a2,x7452))+~P5(f154(f117(a212,x7451),x7452))+~P5(f158(f159(a199,f157(a43,x7452)),f157(a43,x7451))) % 0.60/0.99 [746]~P7(x7462)+~P7(x7461)+E(x7461,x7462)+~P5(f102(a97,x7462))+~P5(f102(f141(a216,x7461),x7462))+~P5(f158(f159(a199,f153(a96,x7462)),f153(a96,x7461))) % 0.60/0.99 [747]~P2(x7472)+~P2(x7471)+E(x7471,x7472)+~P5(f149(a81,x7472))+~P5(f149(f119(a218,x7471),x7472))+~P5(f158(f159(a199,f137(a86,x7472)),f137(a86,x7471))) % 0.60/0.99 [748]~P3(x7482)+~P3(x7481)+E(x7481,x7482)+~P5(f132(a93,x7482))+~P5(f132(f142(a221,x7481),x7482))+~P5(f158(f159(a199,f147(a85,x7482)),f147(a85,x7481))) % 0.60/0.99 [800]~P1(x8002)+~P1(x8001)+E(x8001,x8002)+P5(f154(f108(a203,x8003),x8001))+~E(f46(f37(f11(a44,f111(f19(a75),x8003)),f136(f20(a203),x8001))),f46(f37(f11(a44,f111(f19(a75),x8003)),f136(f20(a203),x8002))))+P5(f154(f108(a203,x8003),x8002)) % 0.60/0.99 [801]~P7(x8012)+~P7(x8011)+E(x8011,x8012)+P5(f102(f165(a200,x8013),x8011))+~E(f54(f38(f17(a44,f170(f21(a80),x8013)),f148(f22(a200),x8011))),f54(f38(f17(a44,f170(f21(a80),x8013)),f148(f22(a200),x8012))))+P5(f102(f165(a200,x8013),x8012)) % 0.60/0.99 %EqnAxiom % 0.60/0.99 [1]E(x11,x11) % 0.60/0.99 [2]E(x22,x21)+~E(x21,x22) % 0.60/0.99 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.60/0.99 [4]~E(x41,x42)+E(f228(x41),f228(x42)) % 0.60/0.99 [5]~E(x51,x52)+E(f232(x51),f232(x52)) % 0.60/0.99 [6]~E(x61,x62)+E(f102(x61,x63),f102(x62,x63)) % 0.60/0.99 [7]~E(x71,x72)+E(f102(x73,x71),f102(x73,x72)) % 0.60/0.99 [8]~E(x81,x82)+E(f120(x81,x83),f120(x82,x83)) % 0.60/0.99 [9]~E(x91,x92)+E(f120(x93,x91),f120(x93,x92)) % 0.60/0.99 [10]~E(x101,x102)+E(f121(x101,x103),f121(x102,x103)) % 0.60/0.99 [11]~E(x111,x112)+E(f121(x113,x111),f121(x113,x112)) % 0.60/0.99 [12]~E(x121,x122)+E(f122(x121,x123),f122(x122,x123)) % 0.60/0.99 [13]~E(x131,x132)+E(f122(x133,x131),f122(x133,x132)) % 0.60/0.99 [14]~E(x141,x142)+E(f123(x141,x143),f123(x142,x143)) % 0.60/0.99 [15]~E(x151,x152)+E(f123(x153,x151),f123(x153,x152)) % 0.60/0.99 [16]~E(x161,x162)+E(f187(x161,x163),f187(x162,x163)) % 0.60/0.99 [17]~E(x171,x172)+E(f187(x173,x171),f187(x173,x172)) % 0.60/0.99 [18]~E(x181,x182)+E(f124(x181,x183),f124(x182,x183)) % 0.60/0.99 [19]~E(x191,x192)+E(f124(x193,x191),f124(x193,x192)) % 0.60/0.99 [20]~E(x201,x202)+E(f197(x201,x203),f197(x202,x203)) % 0.60/0.99 [21]~E(x211,x212)+E(f197(x213,x211),f197(x213,x212)) % 0.60/0.99 [22]~E(x221,x222)+E(f161(x221,x223),f161(x222,x223)) % 0.60/0.99 [23]~E(x231,x232)+E(f161(x233,x231),f161(x233,x232)) % 0.60/0.99 [24]~E(x241,x242)+E(f190(x241,x243),f190(x242,x243)) % 0.60/0.99 [25]~E(x251,x252)+E(f190(x253,x251),f190(x253,x252)) % 0.60/0.99 [26]~E(x261,x262)+E(f162(x261,x263),f162(x262,x263)) % 0.60/0.99 [27]~E(x271,x272)+E(f162(x273,x271),f162(x273,x272)) % 0.60/0.99 [28]~E(x281,x282)+E(f163(x281,x283),f163(x282,x283)) % 0.60/0.99 [29]~E(x291,x292)+E(f163(x293,x291),f163(x293,x292)) % 0.60/0.99 [30]~E(x301,x302)+E(f125(x301,x303),f125(x302,x303)) % 0.60/0.99 [31]~E(x311,x312)+E(f125(x313,x311),f125(x313,x312)) % 0.60/0.99 [32]~E(x321,x322)+E(f198(x321,x323),f198(x322,x323)) % 0.60/0.99 [33]~E(x331,x332)+E(f198(x333,x331),f198(x333,x332)) % 0.60/0.99 [34]~E(x341,x342)+E(f178(x341,x343),f178(x342,x343)) % 0.60/0.99 [35]~E(x351,x352)+E(f178(x353,x351),f178(x353,x352)) % 0.60/0.99 [36]~E(x361,x362)+E(f158(x361,x363),f158(x362,x363)) % 0.60/0.99 [37]~E(x371,x372)+E(f158(x373,x371),f158(x373,x372)) % 0.60/0.99 [38]~E(x381,x382)+E(f126(x381,x383),f126(x382,x383)) % 0.60/0.99 [39]~E(x391,x392)+E(f126(x393,x391),f126(x393,x392)) % 0.60/0.99 [40]~E(x401,x402)+E(f103(x401,x403),f103(x402,x403)) % 0.60/0.99 [41]~E(x411,x412)+E(f103(x413,x411),f103(x413,x412)) % 0.60/0.99 [42]~E(x421,x422)+E(f127(x421,x423),f127(x422,x423)) % 0.60/0.99 [43]~E(x431,x432)+E(f127(x433,x431),f127(x433,x432)) % 0.60/0.99 [44]~E(x441,x442)+E(f140(x441,x443),f140(x442,x443)) % 0.60/0.99 [45]~E(x451,x452)+E(f140(x453,x451),f140(x453,x452)) % 0.60/0.99 [46]~E(x461,x462)+E(f143(x461,x463),f143(x462,x463)) % 0.60/0.99 [47]~E(x471,x472)+E(f143(x473,x471),f143(x473,x472)) % 0.60/0.99 [48]~E(x481,x482)+E(f104(x481,x483),f104(x482,x483)) % 0.60/0.99 [49]~E(x491,x492)+E(f104(x493,x491),f104(x493,x492)) % 0.60/0.99 [50]~E(x501,x502)+E(f144(x501,x503),f144(x502,x503)) % 0.60/0.99 [51]~E(x511,x512)+E(f144(x513,x511),f144(x513,x512)) % 0.60/0.99 [52]~E(x521,x522)+E(f105(x521,x523),f105(x522,x523)) % 0.60/0.99 [53]~E(x531,x532)+E(f105(x533,x531),f105(x533,x532)) % 0.60/0.99 [54]~E(x541,x542)+E(f99(x541,x543),f99(x542,x543)) % 0.60/0.99 [55]~E(x551,x552)+E(f99(x553,x551),f99(x553,x552)) % 0.60/0.99 [56]~E(x561,x562)+E(f233(x561),f233(x562)) % 0.60/0.99 [57]~E(x571,x572)+E(f148(x571,x573),f148(x572,x573)) % 0.60/0.99 [58]~E(x581,x582)+E(f148(x583,x581),f148(x583,x582)) % 0.60/0.99 [59]~E(x591,x592)+E(f229(x591),f229(x592)) % 0.60/0.99 [60]~E(x601,x602)+E(f5(x601),f5(x602)) % 0.60/0.99 [61]~E(x611,x612)+E(f159(x611,x613),f159(x612,x613)) % 0.60/0.99 [62]~E(x621,x622)+E(f159(x623,x621),f159(x623,x622)) % 0.60/0.99 [63]~E(x631,x632)+E(f128(x631,x633),f128(x632,x633)) % 0.60/0.99 [64]~E(x641,x642)+E(f128(x643,x641),f128(x643,x642)) % 0.60/0.99 [65]~E(x651,x652)+E(f164(x651,x653),f164(x652,x653)) % 0.60/0.99 [66]~E(x661,x662)+E(f164(x663,x661),f164(x663,x662)) % 0.60/0.99 [67]~E(x671,x672)+E(f165(x671,x673),f165(x672,x673)) % 0.60/0.99 [68]~E(x681,x682)+E(f165(x683,x681),f165(x683,x682)) % 0.60/0.99 [69]~E(x691,x692)+E(f54(x691),f54(x692)) % 0.60/0.99 [70]~E(x701,x702)+E(f136(x701,x703),f136(x702,x703)) % 0.60/0.99 [71]~E(x711,x712)+E(f136(x713,x711),f136(x713,x712)) % 0.60/0.99 [72]~E(x721,x722)+E(f47(x721),f47(x722)) % 0.60/0.99 [73]~E(x731,x732)+E(f27(x731),f27(x732)) % 0.60/0.99 [74]~E(x741,x742)+E(f40(x741,x743),f40(x742,x743)) % 0.60/0.99 [75]~E(x751,x752)+E(f40(x753,x751),f40(x753,x752)) % 0.60/0.99 [76]~E(x761,x762)+E(f117(x761,x763),f117(x762,x763)) % 0.60/0.99 [77]~E(x771,x772)+E(f117(x773,x771),f117(x773,x772)) % 0.60/0.99 [78]~E(x781,x782)+E(f154(x781,x783),f154(x782,x783)) % 0.60/0.99 [79]~E(x791,x792)+E(f154(x793,x791),f154(x793,x792)) % 0.60/0.99 [80]~E(x801,x802)+E(f22(x801),f22(x802)) % 0.60/0.99 [81]~E(x811,x812)+E(f111(x811,x813),f111(x812,x813)) % 0.60/0.99 [82]~E(x821,x822)+E(f111(x823,x821),f111(x823,x822)) % 0.60/0.99 [83]~E(x831,x832)+E(f141(x831,x833),f141(x832,x833)) % 0.60/0.99 [84]~E(x841,x842)+E(f141(x843,x841),f141(x843,x842)) % 0.60/0.99 [85]~E(x851,x852)+E(f38(x851,x853),f38(x852,x853)) % 0.60/0.99 [86]~E(x861,x862)+E(f38(x863,x861),f38(x863,x862)) % 0.60/0.99 [87]~E(x871,x872)+E(f149(x871,x873),f149(x872,x873)) % 0.60/0.99 [88]~E(x881,x882)+E(f149(x883,x881),f149(x883,x882)) % 0.60/0.99 [89]~E(x891,x892)+E(f109(x891,x893),f109(x892,x893)) % 0.60/0.99 [90]~E(x901,x902)+E(f109(x903,x901),f109(x903,x902)) % 0.60/0.99 [91]~E(x911,x912)+E(f106(x911,x913),f106(x912,x913)) % 0.60/0.99 [92]~E(x921,x922)+E(f106(x923,x921),f106(x923,x922)) % 0.60/0.99 [93]~E(x931,x932)+E(f62(x931,x933,x934),f62(x932,x933,x934)) % 0.60/0.99 [94]~E(x941,x942)+E(f62(x943,x941,x944),f62(x943,x942,x944)) % 0.60/0.99 [95]~E(x951,x952)+E(f62(x953,x954,x951),f62(x953,x954,x952)) % 0.60/0.99 [96]~E(x961,x962)+E(f147(x961,x963),f147(x962,x963)) % 0.60/0.99 [97]~E(x971,x972)+E(f147(x973,x971),f147(x973,x972)) % 0.60/0.99 [98]~E(x981,x982)+E(f19(x981),f19(x982)) % 0.60/0.99 [99]~E(x991,x992)+E(f107(x991,x993),f107(x992,x993)) % 0.60/0.99 [100]~E(x1001,x1002)+E(f107(x1003,x1001),f107(x1003,x1002)) % 0.60/0.99 [101]~E(x1011,x1012)+E(f110(x1011,x1013),f110(x1012,x1013)) % 0.60/0.99 [102]~E(x1021,x1022)+E(f110(x1023,x1021),f110(x1023,x1022)) % 0.60/0.99 [103]~E(x1031,x1032)+E(f6(x1031,x1033),f6(x1032,x1033)) % 0.60/0.99 [104]~E(x1041,x1042)+E(f6(x1043,x1041),f6(x1043,x1042)) % 0.60/0.99 [105]~E(x1051,x1052)+E(f58(x1051,x1053),f58(x1052,x1053)) % 0.60/0.99 [106]~E(x1061,x1062)+E(f58(x1063,x1061),f58(x1063,x1062)) % 0.60/0.99 [107]~E(x1071,x1072)+E(f7(x1071,x1073),f7(x1072,x1073)) % 0.60/0.99 [108]~E(x1081,x1082)+E(f7(x1083,x1081),f7(x1083,x1082)) % 0.60/0.99 [109]~E(x1091,x1092)+E(f167(x1091,x1093),f167(x1092,x1093)) % 0.60/0.99 [110]~E(x1101,x1102)+E(f167(x1103,x1101),f167(x1103,x1102)) % 0.60/0.99 [111]~E(x1111,x1112)+E(f11(x1111,x1113),f11(x1112,x1113)) % 0.60/0.99 [112]~E(x1121,x1122)+E(f11(x1123,x1121),f11(x1123,x1122)) % 0.60/0.99 [113]~E(x1131,x1132)+E(f108(x1131,x1133),f108(x1132,x1133)) % 0.60/0.99 [114]~E(x1141,x1142)+E(f108(x1143,x1141),f108(x1143,x1142)) % 0.60/0.99 [115]~E(x1151,x1152)+E(f168(x1151,x1153),f168(x1152,x1153)) % 0.60/0.99 [116]~E(x1161,x1162)+E(f168(x1163,x1161),f168(x1163,x1162)) % 0.60/0.99 [117]~E(x1171,x1172)+E(f145(x1171,x1173),f145(x1172,x1173)) % 0.60/0.99 [118]~E(x1181,x1182)+E(f145(x1183,x1181),f145(x1183,x1182)) % 0.60/0.99 [119]~E(x1191,x1192)+E(f8(x1191,x1193),f8(x1192,x1193)) % 0.60/0.99 [120]~E(x1201,x1202)+E(f8(x1203,x1201),f8(x1203,x1202)) % 0.60/0.99 [121]~E(x1211,x1212)+E(f166(x1211,x1213),f166(x1212,x1213)) % 0.60/0.99 [122]~E(x1221,x1222)+E(f166(x1223,x1221),f166(x1223,x1222)) % 0.60/0.99 [123]~E(x1231,x1232)+E(f139(x1231,x1233),f139(x1232,x1233)) % 0.60/0.99 [124]~E(x1241,x1242)+E(f139(x1243,x1241),f139(x1243,x1242)) % 0.60/0.99 [125]~E(x1251,x1252)+E(f151(x1251,x1253),f151(x1252,x1253)) % 0.60/0.99 [126]~E(x1261,x1262)+E(f151(x1263,x1261),f151(x1263,x1262)) % 0.60/0.99 [127]~E(x1271,x1272)+E(f18(x1271,x1273),f18(x1272,x1273)) % 0.60/0.99 [128]~E(x1281,x1282)+E(f18(x1283,x1281),f18(x1283,x1282)) % 0.60/0.99 [129]~E(x1291,x1292)+E(f30(x1291),f30(x1292)) % 0.60/0.99 [130]~E(x1301,x1302)+E(f132(x1301,x1303),f132(x1302,x1303)) % 0.60/0.99 [131]~E(x1311,x1312)+E(f132(x1313,x1311),f132(x1313,x1312)) % 0.60/0.99 [132]~E(x1321,x1322)+E(f160(x1321,x1323),f160(x1322,x1323)) % 0.60/0.99 [133]~E(x1331,x1332)+E(f160(x1333,x1331),f160(x1333,x1332)) % 0.60/0.99 [134]~E(x1341,x1342)+E(f10(x1341,x1343),f10(x1342,x1343)) % 0.60/0.99 [135]~E(x1351,x1352)+E(f10(x1353,x1351),f10(x1353,x1352)) % 0.60/0.99 [136]~E(x1361,x1362)+E(f26(x1361),f26(x1362)) % 0.60/0.99 [137]~E(x1371,x1372)+E(f60(x1371,x1373),f60(x1372,x1373)) % 0.60/0.99 [138]~E(x1381,x1382)+E(f60(x1383,x1381),f60(x1383,x1382)) % 0.60/0.99 [139]~E(x1391,x1392)+E(f42(x1391,x1393),f42(x1392,x1393)) % 0.60/0.99 [140]~E(x1401,x1402)+E(f42(x1403,x1401),f42(x1403,x1402)) % 0.60/0.99 [141]~E(x1411,x1412)+E(f13(x1411,x1413),f13(x1412,x1413)) % 0.60/0.99 [142]~E(x1421,x1422)+E(f13(x1423,x1421),f13(x1423,x1422)) % 0.60/0.99 [143]~E(x1431,x1432)+E(f59(x1431,x1433),f59(x1432,x1433)) % 0.60/0.99 [144]~E(x1441,x1442)+E(f59(x1443,x1441),f59(x1443,x1442)) % 0.60/0.99 [145]~E(x1451,x1452)+E(f21(x1451),f21(x1452)) % 0.60/0.99 [146]~E(x1461,x1462)+E(f29(x1461),f29(x1462)) % 0.60/0.99 [147]~E(x1471,x1472)+E(f14(x1471,x1473),f14(x1472,x1473)) % 0.60/0.99 [148]~E(x1481,x1482)+E(f14(x1483,x1481),f14(x1483,x1482)) % 0.60/0.99 [149]~E(x1491,x1492)+E(f201(x1491,x1493),f201(x1492,x1493)) % 0.60/0.99 [150]~E(x1501,x1502)+E(f201(x1503,x1501),f201(x1503,x1502)) % 0.60/0.99 [151]~E(x1511,x1512)+E(f69(x1511,x1513,x1514),f69(x1512,x1513,x1514)) % 0.60/0.99 [152]~E(x1521,x1522)+E(f69(x1523,x1521,x1524),f69(x1523,x1522,x1524)) % 0.60/0.99 [153]~E(x1531,x1532)+E(f69(x1533,x1534,x1531),f69(x1533,x1534,x1532)) % 0.60/0.99 [154]~E(x1541,x1542)+E(f112(x1541,x1543),f112(x1542,x1543)) % 0.60/0.99 [155]~E(x1551,x1552)+E(f112(x1553,x1551),f112(x1553,x1552)) % 0.60/0.99 [156]~E(x1561,x1562)+E(f12(x1561,x1563),f12(x1562,x1563)) % 0.60/0.99 [157]~E(x1571,x1572)+E(f12(x1573,x1571),f12(x1573,x1572)) % 0.60/0.99 [158]~E(x1581,x1582)+E(f113(x1581,x1583),f113(x1582,x1583)) % 0.60/0.99 [159]~E(x1591,x1592)+E(f113(x1593,x1591),f113(x1593,x1592)) % 0.60/0.99 [160]~E(x1601,x1602)+E(f9(x1601,x1603),f9(x1602,x1603)) % 0.60/0.99 [161]~E(x1611,x1612)+E(f9(x1613,x1611),f9(x1613,x1612)) % 0.60/0.99 [162]~E(x1621,x1622)+E(f156(x1621,x1623),f156(x1622,x1623)) % 0.60/0.99 [163]~E(x1631,x1632)+E(f156(x1633,x1631),f156(x1633,x1632)) % 0.60/0.99 [164]~E(x1641,x1642)+E(f17(x1641,x1643),f17(x1642,x1643)) % 0.60/0.99 [165]~E(x1651,x1652)+E(f17(x1653,x1651),f17(x1653,x1652)) % 0.60/0.99 [166]~E(x1661,x1662)+E(f37(x1661,x1663),f37(x1662,x1663)) % 0.60/0.99 [167]~E(x1671,x1672)+E(f37(x1673,x1671),f37(x1673,x1672)) % 0.60/0.99 [168]~E(x1681,x1682)+E(f20(x1681),f20(x1682)) % 0.60/0.99 [169]~E(x1691,x1692)+E(f169(x1691,x1693),f169(x1692,x1693)) % 0.60/0.99 [170]~E(x1701,x1702)+E(f169(x1703,x1701),f169(x1703,x1702)) % 0.60/0.99 [171]~E(x1711,x1712)+E(f171(x1711,x1713),f171(x1712,x1713)) % 0.60/0.99 [172]~E(x1721,x1722)+E(f171(x1723,x1721),f171(x1723,x1722)) % 0.60/0.99 [173]~E(x1731,x1732)+E(f180(x1731,x1733),f180(x1732,x1733)) % 0.60/0.99 [174]~E(x1741,x1742)+E(f180(x1743,x1741),f180(x1743,x1742)) % 0.60/0.99 [175]~E(x1751,x1752)+E(f15(x1751,x1753),f15(x1752,x1753)) % 0.60/0.99 [176]~E(x1761,x1762)+E(f15(x1763,x1761),f15(x1763,x1762)) % 0.60/0.99 [177]~E(x1771,x1772)+E(f129(x1771,x1773),f129(x1772,x1773)) % 0.60/0.99 [178]~E(x1781,x1782)+E(f129(x1783,x1781),f129(x1783,x1782)) % 0.60/0.99 [179]~E(x1791,x1792)+E(f213(x1791),f213(x1792)) % 0.60/0.99 [180]~E(x1801,x1802)+E(f46(x1801),f46(x1802)) % 0.60/0.99 [181]~E(x1811,x1812)+E(f16(x1811,x1813),f16(x1812,x1813)) % 0.60/0.99 [182]~E(x1821,x1822)+E(f16(x1823,x1821),f16(x1823,x1822)) % 0.60/0.99 [183]~E(x1831,x1832)+E(f130(x1831,x1833),f130(x1832,x1833)) % 0.60/0.99 [184]~E(x1841,x1842)+E(f130(x1843,x1841),f130(x1843,x1842)) % 0.60/0.99 [185]~E(x1851,x1852)+E(f170(x1851,x1853),f170(x1852,x1853)) % 0.60/0.99 [186]~E(x1861,x1862)+E(f170(x1863,x1861),f170(x1863,x1862)) % 0.60/0.99 [187]~E(x1871,x1872)+E(f28(x1871),f28(x1872)) % 0.60/0.99 [188]~E(x1881,x1882)+E(f177(x1881,x1883),f177(x1882,x1883)) % 0.60/0.99 [189]~E(x1891,x1892)+E(f177(x1893,x1891),f177(x1893,x1892)) % 0.60/0.99 [190]~E(x1901,x1902)+E(f118(x1901,x1903),f118(x1902,x1903)) % 0.60/0.99 [191]~E(x1911,x1912)+E(f118(x1913,x1911),f118(x1913,x1912)) % 0.60/0.99 [192]~E(x1921,x1922)+E(f36(x1921),f36(x1922)) % 0.60/0.99 [193]~E(x1931,x1932)+E(f208(x1931,x1933),f208(x1932,x1933)) % 0.60/0.99 [194]~E(x1941,x1942)+E(f208(x1943,x1941),f208(x1943,x1942)) % 0.60/0.99 [195]~E(x1951,x1952)+E(f153(x1951,x1953),f153(x1952,x1953)) % 0.60/0.99 [196]~E(x1961,x1962)+E(f153(x1963,x1961),f153(x1963,x1962)) % 0.60/0.99 [197]~E(x1971,x1972)+E(f135(x1971,x1973),f135(x1972,x1973)) % 0.60/0.99 [198]~E(x1981,x1982)+E(f135(x1983,x1981),f135(x1983,x1982)) % 0.60/0.99 [199]~E(x1991,x1992)+E(f33(x1991),f33(x1992)) % 0.60/0.99 [200]~E(x2001,x2002)+E(f119(x2001,x2003),f119(x2002,x2003)) % 0.60/0.99 [201]~E(x2011,x2012)+E(f119(x2013,x2011),f119(x2013,x2012)) % 0.60/0.99 [202]~E(x2021,x2022)+E(f192(x2021,x2023),f192(x2022,x2023)) % 0.60/0.99 [203]~E(x2031,x2032)+E(f192(x2033,x2031),f192(x2033,x2032)) % 0.60/0.99 [204]~E(x2041,x2042)+E(f67(x2041,x2043,x2044),f67(x2042,x2043,x2044)) % 0.60/0.99 [205]~E(x2051,x2052)+E(f67(x2053,x2051,x2054),f67(x2053,x2052,x2054)) % 0.60/0.99 [206]~E(x2061,x2062)+E(f67(x2063,x2064,x2061),f67(x2063,x2064,x2062)) % 0.60/0.99 [207]~E(x2071,x2072)+E(f137(x2071,x2073),f137(x2072,x2073)) % 0.60/0.99 [208]~E(x2081,x2082)+E(f137(x2083,x2081),f137(x2083,x2082)) % 0.60/0.99 [209]~E(x2091,x2092)+E(f150(x2091,x2093),f150(x2092,x2093)) % 0.60/0.99 [210]~E(x2101,x2102)+E(f150(x2103,x2101),f150(x2103,x2102)) % 0.60/0.99 [211]~E(x2111,x2112)+E(f65(x2111,x2113,x2114),f65(x2112,x2113,x2114)) % 0.60/0.99 [212]~E(x2121,x2122)+E(f65(x2123,x2121,x2124),f65(x2123,x2122,x2124)) % 0.60/0.99 [213]~E(x2131,x2132)+E(f65(x2133,x2134,x2131),f65(x2133,x2134,x2132)) % 0.60/0.99 [214]~E(x2141,x2142)+E(f188(x2141,x2143),f188(x2142,x2143)) % 0.60/0.99 [215]~E(x2151,x2152)+E(f188(x2153,x2151),f188(x2153,x2152)) % 0.60/0.99 [216]~E(x2161,x2162)+E(f55(x2161),f55(x2162)) % 0.60/0.99 [217]~E(x2171,x2172)+E(f115(x2171,x2173),f115(x2172,x2173)) % 0.60/0.99 [218]~E(x2181,x2182)+E(f115(x2183,x2181),f115(x2183,x2182)) % 0.60/0.99 [219]~E(x2191,x2192)+E(f224(x2191),f224(x2192)) % 0.60/0.99 [220]~E(x2201,x2202)+E(f138(x2201,x2203),f138(x2202,x2203)) % 0.60/0.99 [221]~E(x2211,x2212)+E(f138(x2213,x2211),f138(x2213,x2212)) % 0.60/0.99 [222]~E(x2221,x2222)+E(f23(x2221),f23(x2222)) % 0.60/0.99 [223]~E(x2231,x2232)+E(f133(x2231,x2233),f133(x2232,x2233)) % 0.60/0.99 [224]~E(x2241,x2242)+E(f133(x2243,x2241),f133(x2243,x2242)) % 0.60/0.99 [225]~E(x2251,x2252)+E(f57(x2251,x2253),f57(x2252,x2253)) % 0.60/0.99 [226]~E(x2261,x2262)+E(f57(x2263,x2261),f57(x2263,x2262)) % 0.60/0.99 [227]~E(x2271,x2272)+E(f56(x2271,x2273),f56(x2272,x2273)) % 0.60/0.99 [228]~E(x2281,x2282)+E(f56(x2283,x2281),f56(x2283,x2282)) % 0.60/0.99 [229]~E(x2291,x2292)+E(f70(x2291,x2293,x2294),f70(x2292,x2293,x2294)) % 0.60/0.99 [230]~E(x2301,x2302)+E(f70(x2303,x2301,x2304),f70(x2303,x2302,x2304)) % 0.60/0.99 [231]~E(x2311,x2312)+E(f70(x2313,x2314,x2311),f70(x2313,x2314,x2312)) % 0.60/0.99 [232]~E(x2321,x2322)+E(f39(x2321,x2323),f39(x2322,x2323)) % 0.60/0.99 [233]~E(x2331,x2332)+E(f39(x2333,x2331),f39(x2333,x2332)) % 0.60/0.99 [234]~E(x2341,x2342)+E(f72(x2341,x2343,x2344),f72(x2342,x2343,x2344)) % 0.60/0.99 [235]~E(x2351,x2352)+E(f72(x2353,x2351,x2354),f72(x2353,x2352,x2354)) % 0.60/0.99 [236]~E(x2361,x2362)+E(f72(x2363,x2364,x2361),f72(x2363,x2364,x2362)) % 0.60/0.99 [237]~E(x2371,x2372)+E(f172(x2371,x2373),f172(x2372,x2373)) % 0.60/0.99 [238]~E(x2381,x2382)+E(f172(x2383,x2381),f172(x2383,x2382)) % 0.60/0.99 [239]~E(x2391,x2392)+E(f114(x2391,x2393),f114(x2392,x2393)) % 0.60/0.99 [240]~E(x2401,x2402)+E(f114(x2403,x2401),f114(x2403,x2402)) % 0.60/0.99 [241]~E(x2411,x2412)+E(f157(x2411,x2413),f157(x2412,x2413)) % 0.60/0.99 [242]~E(x2421,x2422)+E(f157(x2423,x2421),f157(x2423,x2422)) % 0.60/0.99 [243]~E(x2431,x2432)+E(f64(x2431,x2433,x2434),f64(x2432,x2433,x2434)) % 0.60/0.99 [244]~E(x2441,x2442)+E(f64(x2443,x2441,x2444),f64(x2443,x2442,x2444)) % 0.60/0.99 [245]~E(x2451,x2452)+E(f64(x2453,x2454,x2451),f64(x2453,x2454,x2452)) % 0.60/0.99 [246]~E(x2461,x2462)+E(f41(x2461,x2463),f41(x2462,x2463)) % 0.60/0.99 [247]~E(x2471,x2472)+E(f41(x2473,x2471),f41(x2473,x2472)) % 0.60/0.99 [248]~E(x2481,x2482)+E(f191(x2481,x2483),f191(x2482,x2483)) % 0.60/0.99 [249]~E(x2491,x2492)+E(f191(x2493,x2491),f191(x2493,x2492)) % 0.60/0.99 [250]~E(x2501,x2502)+E(f206(x2501,x2503),f206(x2502,x2503)) % 0.60/0.99 [251]~E(x2511,x2512)+E(f206(x2513,x2511),f206(x2513,x2512)) % 0.60/0.99 [252]~E(x2521,x2522)+E(f142(x2521,x2523),f142(x2522,x2523)) % 0.60/0.99 [253]~E(x2531,x2532)+E(f142(x2533,x2531),f142(x2533,x2532)) % 0.60/0.99 [254]~E(x2541,x2542)+E(f152(x2541,x2543),f152(x2542,x2543)) % 0.60/0.99 [255]~E(x2551,x2552)+E(f152(x2553,x2551),f152(x2553,x2552)) % 0.60/0.99 [256]~E(x2561,x2562)+E(f176(x2561,x2563),f176(x2562,x2563)) % 0.60/0.99 [257]~E(x2571,x2572)+E(f176(x2573,x2571),f176(x2573,x2572)) % 0.60/0.99 [258]~E(x2581,x2582)+E(f194(x2581,x2583),f194(x2582,x2583)) % 0.60/0.99 [259]~E(x2591,x2592)+E(f194(x2593,x2591),f194(x2593,x2592)) % 0.60/0.99 [260]~E(x2601,x2602)+E(f24(x2601),f24(x2602)) % 0.60/0.99 [261]~E(x2611,x2612)+E(f71(x2611,x2613,x2614),f71(x2612,x2613,x2614)) % 0.60/0.99 [262]~E(x2621,x2622)+E(f71(x2623,x2621,x2624),f71(x2623,x2622,x2624)) % 0.60/0.99 [263]~E(x2631,x2632)+E(f71(x2633,x2634,x2631),f71(x2633,x2634,x2632)) % 0.60/0.99 [264]~E(x2641,x2642)+E(f181(x2641,x2643),f181(x2642,x2643)) % 0.60/0.99 [265]~E(x2651,x2652)+E(f181(x2653,x2651),f181(x2653,x2652)) % 0.60/0.99 [266]~E(x2661,x2662)+E(f51(x2661),f51(x2662)) % 0.60/0.99 [267]~E(x2671,x2672)+E(f189(x2671,x2673),f189(x2672,x2673)) % 0.60/0.99 [268]~E(x2681,x2682)+E(f189(x2683,x2681),f189(x2683,x2682)) % 0.60/0.99 [269]~E(x2691,x2692)+E(f195(x2691,x2693),f195(x2692,x2693)) % 0.60/0.99 [270]~E(x2701,x2702)+E(f195(x2703,x2701),f195(x2703,x2702)) % 0.60/0.99 [271]~E(x2711,x2712)+E(f146(x2711,x2713),f146(x2712,x2713)) % 0.60/0.99 [272]~E(x2721,x2722)+E(f146(x2723,x2721),f146(x2723,x2722)) % 0.60/0.99 [273]~E(x2731,x2732)+E(f209(x2731,x2733),f209(x2732,x2733)) % 0.60/0.99 [274]~E(x2741,x2742)+E(f209(x2743,x2741),f209(x2743,x2742)) % 0.60/0.99 [275]~E(x2751,x2752)+E(f66(x2751,x2753,x2754),f66(x2752,x2753,x2754)) % 0.60/0.99 [276]~E(x2761,x2762)+E(f66(x2763,x2761,x2764),f66(x2763,x2762,x2764)) % 0.60/0.99 [277]~E(x2771,x2772)+E(f66(x2773,x2774,x2771),f66(x2773,x2774,x2772)) % 0.60/0.99 [278]~E(x2781,x2782)+E(f193(x2781,x2783),f193(x2782,x2783)) % 0.60/0.99 [279]~E(x2791,x2792)+E(f193(x2793,x2791),f193(x2793,x2792)) % 0.60/0.99 [280]~E(x2801,x2802)+E(f173(x2801,x2803),f173(x2802,x2803)) % 0.60/0.99 [281]~E(x2811,x2812)+E(f173(x2813,x2811),f173(x2813,x2812)) % 0.60/0.99 [282]~E(x2821,x2822)+E(f205(x2821,x2823),f205(x2822,x2823)) % 0.60/0.99 [283]~E(x2831,x2832)+E(f205(x2833,x2831),f205(x2833,x2832)) % 0.60/0.99 [284]~E(x2841,x2842)+E(f49(x2841),f49(x2842)) % 0.60/0.99 [285]~E(x2851,x2852)+E(f131(x2851,x2853),f131(x2852,x2853)) % 0.60/0.99 [286]~E(x2861,x2862)+E(f131(x2863,x2861),f131(x2863,x2862)) % 0.60/0.99 [287]~E(x2871,x2872)+E(f34(x2871),f34(x2872)) % 0.60/0.99 [288]~E(x2881,x2882)+E(f185(x2881,x2883),f185(x2882,x2883)) % 0.60/0.99 [289]~E(x2891,x2892)+E(f185(x2893,x2891),f185(x2893,x2892)) % 0.60/0.99 [290]~E(x2901,x2902)+E(f186(x2901,x2903),f186(x2902,x2903)) % 0.60/0.99 [291]~E(x2911,x2912)+E(f186(x2913,x2911),f186(x2913,x2912)) % 0.60/0.99 [292]~E(x2921,x2922)+E(f35(x2921),f35(x2922)) % 0.60/0.99 [293]~E(x2931,x2932)+E(f61(x2931),f61(x2932)) % 0.60/0.99 [294]~E(x2941,x2942)+E(f32(x2941),f32(x2942)) % 0.60/0.99 [295]~E(x2951,x2952)+E(f25(x2951),f25(x2952)) % 0.60/0.99 [296]~E(x2961,x2962)+E(f50(x2961),f50(x2962)) % 0.60/0.99 [297]~E(x2971,x2972)+E(f63(x2971,x2973),f63(x2972,x2973)) % 0.60/0.99 [298]~E(x2981,x2982)+E(f63(x2983,x2981),f63(x2983,x2982)) % 0.60/0.99 [299]~E(x2991,x2992)+E(f31(x2991),f31(x2992)) % 0.60/0.99 [300]~E(x3001,x3002)+E(f134(x3001,x3003),f134(x3002,x3003)) % 0.60/0.99 [301]~E(x3011,x3012)+E(f134(x3013,x3011),f134(x3013,x3012)) % 0.60/0.99 [302]~E(x3021,x3022)+E(f175(x3021,x3023),f175(x3022,x3023)) % 0.60/0.99 [303]~E(x3031,x3032)+E(f175(x3033,x3031),f175(x3033,x3032)) % 0.60/0.99 [304]~E(x3041,x3042)+E(f183(x3041,x3043),f183(x3042,x3043)) % 0.60/0.99 [305]~E(x3051,x3052)+E(f183(x3053,x3051),f183(x3053,x3052)) % 0.60/0.99 [306]~E(x3061,x3062)+E(f68(x3061,x3063,x3064),f68(x3062,x3063,x3064)) % 0.60/0.99 [307]~E(x3071,x3072)+E(f68(x3073,x3071,x3074),f68(x3073,x3072,x3074)) % 0.60/0.99 [308]~E(x3081,x3082)+E(f68(x3083,x3084,x3081),f68(x3083,x3084,x3082)) % 0.60/0.99 [309]~E(x3091,x3092)+E(f116(x3091,x3093),f116(x3092,x3093)) % 0.60/0.99 [310]~E(x3101,x3102)+E(f116(x3103,x3101),f116(x3103,x3102)) % 0.60/0.99 [311]~E(x3111,x3112)+E(f155(x3111,x3113),f155(x3112,x3113)) % 0.60/0.99 [312]~E(x3121,x3122)+E(f155(x3123,x3121),f155(x3123,x3122)) % 0.60/0.99 [313]~E(x3131,x3132)+E(f174(x3131,x3133),f174(x3132,x3133)) % 0.60/0.99 [314]~E(x3141,x3142)+E(f174(x3143,x3141),f174(x3143,x3142)) % 0.60/0.99 [315]~E(x3151,x3152)+E(f48(x3151),f48(x3152)) % 0.60/0.99 [316]~E(x3161,x3162)+E(f230(x3161),f230(x3162)) % 0.60/0.99 [317]~E(x3171,x3172)+E(f196(x3171,x3173),f196(x3172,x3173)) % 0.60/0.99 [318]~E(x3181,x3182)+E(f196(x3183,x3181),f196(x3183,x3182)) % 0.60/0.99 [319]~E(x3191,x3192)+E(f207(x3191,x3193),f207(x3192,x3193)) % 0.60/0.99 [320]~E(x3201,x3202)+E(f207(x3203,x3201),f207(x3203,x3202)) % 0.60/0.99 [321]~E(x3211,x3212)+E(f53(x3211),f53(x3212)) % 0.60/0.99 [322]~E(x3221,x3222)+E(f184(x3221,x3223),f184(x3222,x3223)) % 0.60/0.99 [323]~E(x3231,x3232)+E(f184(x3233,x3231),f184(x3233,x3232)) % 0.60/0.99 [324]~E(x3241,x3242)+E(f52(x3241),f52(x3242)) % 0.60/0.99 [325]~E(x3251,x3252)+E(f182(x3251,x3253),f182(x3252,x3253)) % 0.60/0.99 [326]~E(x3261,x3262)+E(f182(x3263,x3261),f182(x3263,x3262)) % 0.60/0.99 [327]~E(x3271,x3272)+E(f231(x3271),f231(x3272)) % 0.60/0.99 [328]~E(x3281,x3282)+E(f179(x3281,x3283),f179(x3282,x3283)) % 0.60/0.99 [329]~E(x3291,x3292)+E(f179(x3293,x3291),f179(x3293,x3292)) % 0.60/0.99 [330]~P1(x3301)+P1(x3302)+~E(x3301,x3302) % 0.60/0.99 [331]~P7(x3311)+P7(x3312)+~E(x3311,x3312) % 0.60/0.99 [332]~P2(x3321)+P2(x3322)+~E(x3321,x3322) % 0.60/0.99 [333]~P3(x3331)+P3(x3332)+~E(x3331,x3332) % 0.60/0.99 [334]~P8(x3341)+P8(x3342)+~E(x3341,x3342) % 0.60/0.99 [335]~P4(x3351)+P4(x3352)+~E(x3351,x3352) % 0.60/0.99 [336]~P5(x3361)+P5(x3362)+~E(x3361,x3362) % 0.60/0.99 [337]~P6(x3371)+P6(x3372)+~E(x3371,x3372) % 0.60/0.99 % 0.60/0.99 %------------------------------------------- % 0.60/0.99 cnf(914,plain, % 0.60/0.99 (~P5(f158(f159(a199,f164(a226,x9141)),x9141))), % 0.60/0.99 inference(rename_variables,[],[451])). % 0.60/0.99 cnf(917,plain, % 0.60/0.99 (P5(f158(f159(a199,x9171),x9171))), % 0.60/0.99 inference(rename_variables,[],[374])). % 0.60/0.99 cnf(957,plain, % 0.60/0.99 ($false), % 0.60/0.99 inference(scs_inference,[],[452,450,449,338,339,414,345,396,374,917,376,421,372,451,914,427,394,439,507,510,533,575,588,589,591,592,593,620,622,650,677,691,785,2,854,336,627,639,640,669,672,700,702,3,651,497,505,577,678]), % 0.60/0.99 ['proof']). % 0.60/0.99 % SZS output end Proof % 0.60/0.99 % Total time :0.080000s %------------------------------------------------------------------------------