TSTP Solution File: SWW474+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 : Fri Sep 1 00:14:34 EDT 2023
% Result : Theorem 2.90s 2.97s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.27 % Computer : n032.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8042.1875MB
% 0.10/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Sun Aug 27 22:20:15 EDT 2023
% 0.10/0.27 % CPUTime :
% 0.12/0.48 start to proof:theBenchmark
% 2.79/2.93 %-------------------------------------------
% 2.79/2.93 % File :CSE---1.6
% 2.79/2.93 % Problem :theBenchmark
% 2.79/2.93 % Transform :cnf
% 2.79/2.93 % Format :tptp:raw
% 2.79/2.93 % Command :java -jar mcs_scs.jar %d %s
% 2.79/2.93
% 2.79/2.93 % Result :Theorem 2.240000s
% 2.79/2.93 % Output :CNFRefutation 2.240000s
% 2.79/2.93 %-------------------------------------------
% 2.79/2.93 %------------------------------------------------------------------------------
% 2.79/2.93 % File : SWW474+1 : TPTP v8.1.2. Released v5.3.0.
% 2.79/2.93 % Domain : Software Verification
% 2.79/2.93 % Problem : Hoare's Logic with Procedures line 440, 100 axioms selected
% 2.79/2.93 % Version : Especial.
% 2.79/2.93 % English :
% 2.79/2.93
% 2.79/2.93 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.79/2.93 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 2.79/2.93 % Source : [Bla11]
% 2.79/2.93 % Names : hoare_100_fofmg_l440 [Bla11]
% 2.79/2.93
% 2.79/2.93 % Status : Theorem
% 2.79/2.93 % Rating : 0.31 v8.1.0, 0.36 v7.5.0, 0.38 v7.4.0, 0.27 v7.3.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.33 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.53 v6.0.0, 0.48 v5.5.0, 0.59 v5.4.0, 0.64 v5.3.0
% 2.79/2.93 % Syntax : Number of formulae : 428 ( 136 unt; 0 def)
% 2.79/2.93 % Number of atoms : 980 ( 281 equ)
% 2.79/2.93 % Maximal formula atoms : 11 ( 2 avg)
% 2.79/2.93 % Number of connectives : 655 ( 103 ~; 39 |; 64 &)
% 2.79/2.93 % ( 53 <=>; 396 =>; 0 <=; 0 <~>)
% 2.79/2.93 % Maximal formula depth : 15 ( 5 avg)
% 2.79/2.93 % Maximal term depth : 7 ( 2 avg)
% 2.79/2.93 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 2.79/2.93 % Number of functors : 183 ( 183 usr; 45 con; 0-2 aty)
% 2.79/2.93 % Number of variables : 907 ( 900 !; 7 ?)
% 2.79/2.94 % SPC : FOF_THM_RFO_SEQ
% 2.79/2.94
% 2.79/2.94 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2.79/2.94 % 2011-08-09 16:03:52
% 2.79/2.94 % : Encoded with monomorphized guards.
% 2.79/2.94 %------------------------------------------------------------------------------
% 2.79/2.94 %----Explicit typings (53)
% 2.79/2.94 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun1661590463l_bool(B_2_1)
% 2.79/2.94 => is_fun1661590463l_bool(cOMBB_307249310e_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1] :
% 2.79/2.94 ( is_bool(B_1_1)
% 2.79/2.94 => is_fun_pname_bool(cOMBK_bool_pname(B_1_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 2.79/2.94 ! [B_1_1] :
% 2.79/2.94 ( is_bool(B_1_1)
% 2.79/2.94 => is_fun1661590463l_bool(cOMBK_1857069011e_bool(B_1_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun1661590463l_bool(B_2_1)
% 2.79/2.94 => is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Com_OWT,axiom,
% 2.79/2.94 ! [B_1_1] : is_bool(wt(B_1_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Com_OWT__bodies,hypothesis,
% 2.79/2.94 is_bool(wT_bodies) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,axiom,
% 2.79/2.94 is_fun1661590463l_bool(finite_finite_pname) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom,
% 2.79/2.94 is_pname(undefined_pname(pname)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 2.79/2.94 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 2.79/2.94 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Hoare__Mirabelle__jfehddehev_Ostate__not__singleton,hypothesis,
% 2.79/2.94 is_bool(hoare_165779456gleton) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom,hypothesis,
% 2.79/2.94 ! [B_1_1] : is_fun_pname_bool(dom_pname_com(B_1_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Map_Odom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Ocom,axiom,
% 2.79/2.94 ! [B_1_1] : is_fun1661590463l_bool(dom_fu2081503504ol_com(B_1_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 2.79/2.94 is_fun_pname_bool(bot_bo844097828e_bool) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__,axiom,
% 2.79/2.94 is_fun1661590463l_bool(bot_bo1649642514l_bool) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_OCollect_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_1_1)
% 2.79/2.94 => is_fun_pname_bool(collect_pname(B_1_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 2.79/2.94 ! [B_1_1] :
% 2.79/2.94 ( is_fun1661590463l_bool(B_1_1)
% 2.79/2.94 => is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_54689091_pname(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta_001,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(image_2131964411e_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun1661590463l_bool(B_2_1)
% 2.79/2.94 => is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_187965177_pname(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_1705983821_pname(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otri,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_1619336331_pname(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oinsert_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( ( is_pname(B_1_1)
% 2.79/2.94 & is_fun_pname_bool(B_2_1) )
% 2.79/2.94 => is_fun_pname_bool(insert_pname(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( ( is_fun_pname_bool(B_1_1)
% 2.79/2.94 & is_fun1661590463l_bool(B_2_1) )
% 2.79/2.94 => is_fun1661590463l_bool(insert1325755072e_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_fFalse,axiom,
% 2.79/2.94 is_bool(fFalse) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_fTrue,axiom,
% 2.79/2.94 is_bool(fTrue) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_pname(B_2_1)
% 2.79/2.94 => is_pname(hAPP_pname_pname(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( ( is_fun_pname_bool(B_1_1)
% 2.79/2.94 & is_pname(B_2_1) )
% 2.79/2.94 => is_bool(hAPP_pname_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_pname(B_2_1)
% 2.79/2.94 => is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_pname(B_2_1)
% 2.79/2.94 => is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_bool(B_2_1)
% 2.79/2.94 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_pname(hAPP_H1621176307_pname(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_002,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_H78829294e_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_003,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_H356885323e_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( ( is_fun1661590463l_bool(B_1_1)
% 2.79/2.94 & is_fun_pname_bool(B_2_1) )
% 2.79/2.94 => is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun_pname_bool(B_2_1)
% 2.79/2.94 => is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_pname(hAPP_f560369737_pname(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004,hypothesis,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_f971112728l_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun1661590463l_bool(B_2_1)
% 2.79/2.94 => is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] :
% 2.79/2.94 ( is_fun1661590463l_bool(B_2_1)
% 2.79/2.94 => is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_f166538662l_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__O,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_f468958928l_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_f595608956l_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfeh,axiom,
% 2.79/2.94 ! [B_1_1,B_2_1] : is_bool(hAPP_f1022807134l_bool(B_1_1,B_2_1)) ).
% 2.79/2.94
% 2.79/2.94 fof(gsy_v_pn,hypothesis,
% 2.79/2.94 is_pname(pn) ).
% 2.79/2.94
% 2.79/2.94 %----Relevant facts (300)
% 2.79/2.94 fof(fact_0_empty,axiom,
% 2.79/2.94 ! [G] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),bot_bo620288102e_bool)) ).
% 2.79/2.94
% 2.79/2.94 fof(fact_1_asm,axiom,
% 2.79/2.94 ! [Ts,G] :
% 2.79/2.94 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,Ts),G))
% 2.79/2.94 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ).
% 2.79/2.94
% 2.79/2.94 fof(fact_2_weaken,axiom,
% 2.79/2.94 ! [Ts,G,Ts_1] :
% 2.79/2.94 ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts_1))
% 2.79/2.94 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,Ts),Ts_1))
% 2.79/2.94 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ) ).
% 2.79/2.94
% 2.79/2.94 fof(fact_3_thin,axiom,
% 2.79/2.94 ! [G,G_1,Ts] :
% 2.79/2.94 ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))
% 2.79/2.94 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,G_1),G))
% 2.79/2.94 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ) ).
% 2.79/2.94
% 2.79/2.94 fof(fact_4_cut,axiom,
% 2.79/2.94 ! [G,G_1,Ts] :
% 2.79/2.94 ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G_1),Ts))
% 2.79/2.94 => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),G_1))
% 2.79/2.94 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ) ).
% 2.79/2.94
% 2.79/2.94 fof(fact_5_hoare__derivs_Oinsert,axiom,
% 2.79/2.94 ! [Ts,G,T] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(T,bot_bo620288102e_bool)))
% 2.79/2.95 => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(T,Ts))) ) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_6_derivs__insertD,axiom,
% 2.79/2.95 ! [G,T,Ts] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(T,Ts)))
% 2.79/2.95 => ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(T,bot_bo620288102e_bool)))
% 2.79/2.95 & hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),Ts)) ) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_7_MGT__BodyN,axiom,
% 2.79/2.95 ! [Pn_1,G] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,Pn_1)),G)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,Pn_1))),bot_bo620288102e_bool)))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,Pn_1)),bot_bo620288102e_bool))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_8_finite__Collect__subsets,axiom,
% 2.79/2.95 ! [A] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.79/2.95 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_9_finite__Collect__subsets,axiom,
% 2.79/2.95 ! [A] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.79/2.95 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),A)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_10_finite__Collect__subsets,axiom,
% 2.79/2.95 ! [A] :
% 2.79/2.95 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),A)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_11_finite__Collect__subsets,axiom,
% 2.79/2.95 ! [A] :
% 2.79/2.95 ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),A)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_12_finite__Collect__subsets,axiom,
% 2.79/2.95 ! [A] :
% 2.79/2.95 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),A)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_13_finite__Collect__subsets,axiom,
% 2.79/2.95 ! [A] :
% 2.79/2.95 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_14_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_15_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_16_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_17_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_18_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_19_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_20_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_21_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_22_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_23_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.79/2.95 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_24_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.79/2.95 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_25_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.79/2.95 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_26_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_27_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,Fa))
% 2.79/2.95 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_28_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,Fa))
% 2.79/2.95 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_29_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,Fa))
% 2.79/2.95 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_30_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_31_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_32_finite__imageI,axiom,
% 2.79/2.95 ! [H,Fa] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(H,Fa))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_33_empty__subsetI,axiom,
% 2.79/2.95 ! [A] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),A)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_34_empty__subsetI,axiom,
% 2.79/2.95 ! [A] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),A)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_35_empty__subsetI,axiom,
% 2.79/2.95 ! [A] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),A)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_36_empty__subsetI,axiom,
% 2.79/2.95 ! [A] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_37_finite_OinsertI,axiom,
% 2.79/2.95 ! [A_2,A] :
% 2.79/2.95 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(A_2,A))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_38_finite_OinsertI,axiom,
% 2.79/2.95 ! [A_2,A] :
% 2.79/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_2,A))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_39_finite_OinsertI,axiom,
% 2.79/2.95 ! [A_2,A] :
% 2.79/2.95 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(A_2,A))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_40_finite_OinsertI,axiom,
% 2.79/2.95 ! [A_2,A] :
% 2.79/2.95 ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(A_2,A))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_41_finite_OinsertI,axiom,
% 2.79/2.95 ! [A_2,A] :
% 2.79/2.95 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(A_2,A))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_42_finite_OinsertI,axiom,
% 2.79/2.95 ! [A_2,A] :
% 2.79/2.95 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 2.79/2.95 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_2,A))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_43_finite_OemptyI,axiom,
% 2.79/2.95 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_44_finite_OemptyI,axiom,
% 2.79/2.95 hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_45_finite_OemptyI,axiom,
% 2.79/2.95 hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_46_finite_OemptyI,axiom,
% 2.79/2.95 hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_47_finite_OemptyI,axiom,
% 2.79/2.95 hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_48_finite_OemptyI,axiom,
% 2.79/2.95 hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_49_finite__Collect__conjI,axiom,
% 2.79/2.95 ! [Q_1,P_1] :
% 2.79/2.95 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(P_1)))
% 2.79/2.95 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))) )
% 2.79/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,P_1),Q_1)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_50_finite__Collect__conjI,axiom,
% 2.79/2.95 ! [Q_1,P_1] :
% 2.79/2.95 ( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(P_1)))
% 2.79/2.95 | hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(Q_1))) )
% 2.79/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,P_1),Q_1)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_51_finite__Collect__conjI,axiom,
% 2.79/2.95 ! [Q_1,P_1] :
% 2.79/2.95 ( ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(P_1)))
% 2.79/2.95 | hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(Q_1))) )
% 2.79/2.95 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,P_1),Q_1)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_52_finite__Collect__conjI,axiom,
% 2.79/2.95 ! [Q_1,P_1] :
% 2.79/2.95 ( ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(P_1)))
% 2.79/2.95 | hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(Q_1))) )
% 2.79/2.95 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,P_1),Q_1)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_53_finite__Collect__conjI,axiom,
% 2.79/2.95 ! [Q_1,P_1] :
% 2.79/2.95 ( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(P_1)))
% 2.79/2.95 | hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(Q_1))) )
% 2.79/2.95 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,P_1),Q_1)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_54_finite__Collect__conjI,axiom,
% 2.79/2.95 ! [Q_1,P_1] :
% 2.79/2.95 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(P_1)))
% 2.79/2.95 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))) )
% 2.79/2.95 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,P_1),Q_1)))) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_55_image__constant__conv,axiom,
% 2.79/2.95 ! [C_1,A] :
% 2.79/2.95 ( is_fun_pname_bool(A)
% 2.79/2.95 => ( ( A = bot_bo844097828e_bool
% 2.79/2.95 => image_2003357581_state(cOMBK_367030522_pname(C_1),A) = bot_bo620288102e_bool )
% 2.79/2.95 & ( A != bot_bo844097828e_bool
% 2.79/2.95 => image_2003357581_state(cOMBK_367030522_pname(C_1),A) = insert1415133716_state(C_1,bot_bo620288102e_bool) ) ) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_56_image__constant__conv,axiom,
% 2.79/2.95 ! [C_1,A] :
% 2.79/2.95 ( ( A = bot_bo620288102e_bool
% 2.79/2.95 => image_54689091_pname(cOMBK_168215364_state(C_1),A) = bot_bo844097828e_bool )
% 2.79/2.95 & ( A != bot_bo620288102e_bool
% 2.79/2.95 => image_54689091_pname(cOMBK_168215364_state(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_57_image__constant__conv,axiom,
% 2.79/2.95 ! [C_1,A] :
% 2.79/2.95 ( ( A = bot_bo620288102e_bool
% 2.79/2.95 => image_2131964411e_bool(cOMBK_2035509764_state(C_1),A) = bot_bo1649642514l_bool )
% 2.79/2.95 & ( A != bot_bo620288102e_bool
% 2.79/2.95 => image_2131964411e_bool(cOMBK_2035509764_state(C_1),A) = insert1325755072e_bool(C_1,bot_bo1649642514l_bool) ) ) ).
% 2.79/2.95
% 2.79/2.95 fof(fact_58_image__constant__conv,axiom,
% 2.79/2.95 ! [C_1,A] :
% 2.79/2.95 ( ( A = bot_bo620288102e_bool
% 2.79/2.95 => image_1828608335e_bool(cOMBK_1039769424_state(C_1),A) = bot_bo535777328l_bool )
% 2.79/2.95 & ( A != bot_bo620288102e_bool
% 2.90/2.95 => image_1828608335e_bool(cOMBK_1039769424_state(C_1),A) = insert1556680138e_bool(C_1,bot_bo535777328l_bool) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_59_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( is_fun_pname_bool(A)
% 2.90/2.95 => ( ( A = bot_bo844097828e_bool
% 2.90/2.95 => image_47868345e_bool(cOMBK_37193422_pname(C_1),A) = bot_bo1649642514l_bool )
% 2.90/2.95 & ( A != bot_bo844097828e_bool
% 2.90/2.95 => image_47868345e_bool(cOMBK_37193422_pname(C_1),A) = insert1325755072e_bool(C_1,bot_bo1649642514l_bool) ) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_60_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( is_fun_pname_bool(A)
% 2.90/2.95 => ( ( A = bot_bo844097828e_bool
% 2.90/2.95 => image_70449425e_bool(cOMBK_1706929794_pname(C_1),A) = bot_bo535777328l_bool )
% 2.90/2.95 & ( A != bot_bo844097828e_bool
% 2.90/2.95 => image_70449425e_bool(cOMBK_1706929794_pname(C_1),A) = insert1556680138e_bool(C_1,bot_bo535777328l_bool) ) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_61_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( is_fun_pname_bool(A)
% 2.90/2.95 => ( ( A = bot_bo844097828e_bool
% 2.90/2.95 => image_pname_pname(cOMBK_pname_pname(C_1),A) = bot_bo844097828e_bool )
% 2.90/2.95 & ( A != bot_bo844097828e_bool
% 2.90/2.95 => image_pname_pname(cOMBK_pname_pname(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_62_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( is_fun1661590463l_bool(A)
% 2.90/2.95 => ( ( A = bot_bo1649642514l_bool
% 2.90/2.95 => image_516545147_state(cOMBK_1503445380e_bool(C_1),A) = bot_bo620288102e_bool )
% 2.90/2.95 & ( A != bot_bo1649642514l_bool
% 2.90/2.95 => image_516545147_state(cOMBK_1503445380e_bool(C_1),A) = insert1415133716_state(C_1,bot_bo620288102e_bool) ) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_63_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( ( A = bot_bo535777328l_bool
% 2.90/2.95 => image_18964633_state(cOMBK_701929478e_bool(C_1),A) = bot_bo620288102e_bool )
% 2.90/2.95 & ( A != bot_bo535777328l_bool
% 2.90/2.95 => image_18964633_state(cOMBK_701929478e_bool(C_1),A) = insert1415133716_state(C_1,bot_bo620288102e_bool) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_64_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( is_fun1661590463l_bool(A)
% 2.90/2.95 => ( ( A = bot_bo1649642514l_bool
% 2.90/2.95 => image_1283814551_pname(cOMBK_948730864e_bool(C_1),A) = bot_bo844097828e_bool )
% 2.90/2.95 & ( A != bot_bo1649642514l_bool
% 2.90/2.95 => image_1283814551_pname(cOMBK_948730864e_bool(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_65_image__constant__conv,axiom,
% 2.90/2.95 ! [C_1,A] :
% 2.90/2.95 ( ( A = bot_bo535777328l_bool
% 2.90/2.95 => image_187965177_pname(cOMBK_1589414042e_bool(C_1),A) = bot_bo844097828e_bool )
% 2.90/2.95 & ( A != bot_bo535777328l_bool
% 2.90/2.95 => image_187965177_pname(cOMBK_1589414042e_bool(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_66_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.95 => image_2003357581_state(cOMBK_367030522_pname(C_1),A) = insert1415133716_state(C_1,bot_bo620288102e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_67_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.95 => image_54689091_pname(cOMBK_168215364_state(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_68_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.95 => image_2131964411e_bool(cOMBK_2035509764_state(C_1),A) = insert1325755072e_bool(C_1,bot_bo1649642514l_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_69_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.95 => image_1828608335e_bool(cOMBK_1039769424_state(C_1),A) = insert1556680138e_bool(C_1,bot_bo535777328l_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_70_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.95 => image_47868345e_bool(cOMBK_37193422_pname(C_1),A) = insert1325755072e_bool(C_1,bot_bo1649642514l_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_71_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.95 => image_70449425e_bool(cOMBK_1706929794_pname(C_1),A) = insert1556680138e_bool(C_1,bot_bo535777328l_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_72_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.95 => image_pname_pname(cOMBK_pname_pname(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_73_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A))
% 2.90/2.95 => image_516545147_state(cOMBK_1503445380e_bool(C_1),A) = insert1415133716_state(C_1,bot_bo620288102e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_74_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X_2),A))
% 2.90/2.95 => image_18964633_state(cOMBK_701929478e_bool(C_1),A) = insert1415133716_state(C_1,bot_bo620288102e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_75_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A))
% 2.90/2.95 => image_1283814551_pname(cOMBK_948730864e_bool(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_76_image__constant,axiom,
% 2.90/2.95 ! [C_1,X_2,A] :
% 2.90/2.95 ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X_2),A))
% 2.90/2.95 => image_187965177_pname(cOMBK_1589414042e_bool(C_1),A) = insert_pname(C_1,bot_bo844097828e_bool) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_77_insert__dom,axiom,
% 2.90/2.95 ! [F,X_2,Y_2] :
% 2.90/2.95 ( hAPP_p799580910on_com(F,X_2) = some_com(Y_2)
% 2.90/2.95 => insert_pname(X_2,dom_pname_com(F)) = dom_pname_com(F) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_78_insert__dom,axiom,
% 2.90/2.95 ! [F,X_2,Y_2] :
% 2.90/2.95 ( hAPP_f2138803836on_com(F,X_2) = some_com(Y_2)
% 2.90/2.95 => insert1325755072e_bool(X_2,dom_fu2081503504ol_com(F)) = dom_fu2081503504ol_com(F) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_79_insert__dom,axiom,
% 2.90/2.95 ! [F,X_2,Y_2] :
% 2.90/2.95 ( hAPP_f2134636538on_com(F,X_2) = some_com(Y_2)
% 2.90/2.95 => insert1556680138e_bool(X_2,dom_fu1342267980ol_com(F)) = dom_fu1342267980ol_com(F) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_80_finite__surj,axiom,
% 2.90/2.95 ! [B,F,A] :
% 2.90/2.95 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.90/2.95 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_2003357581_state(F,A)))
% 2.90/2.95 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,B)) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_81_finite__surj,axiom,
% 2.90/2.95 ! [B,F,A] :
% 2.90/2.95 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A))
% 2.90/2.95 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1705983821_pname(F,A)))
% 2.90/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_82_finite__surj,axiom,
% 2.90/2.95 ! [B,F,A] :
% 2.90/2.95 ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,A))
% 2.90/2.95 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1619336331_pname(F,A)))
% 2.90/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_83_finite__surj,axiom,
% 2.90/2.95 ! [B,F,A] :
% 2.90/2.95 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A))
% 2.90/2.95 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_187965177_pname(F,A)))
% 2.90/2.95 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 2.90/2.95
% 2.90/2.95 fof(fact_84_finite__surj,axiom,
% 2.90/2.95 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_85_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,A))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_677922117_state(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_86_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,A))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_892968839_state(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_87_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_18964633_state(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_88_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_516545147_state(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_89_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.90/2.96 => ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,B),image_1642285373l_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_90_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.90/2.96 => ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,B),image_288317893l_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_91_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_92_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,B),image_70449425e_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_93_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_94_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.90/2.96 => ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,B),image_1210605179l_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_95_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.90/2.96 => ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,B),image_1761575943l_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_96_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_54689091_pname(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_97_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,B),image_1828608335e_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_98_finite__surj,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,A))
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_2131964411e_bool(F,A)))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_99_subset__singletonD,axiom,
% 2.90/2.96 ! [A,X_2] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),insert1415133716_state(X_2,bot_bo620288102e_bool)))
% 2.90/2.96 => ( A = bot_bo620288102e_bool
% 2.90/2.96 | A = insert1415133716_state(X_2,bot_bo620288102e_bool) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_100_subset__singletonD,axiom,
% 2.90/2.96 ! [A,X_2] :
% 2.90/2.96 ( is_fun1661590463l_bool(A)
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),insert1325755072e_bool(X_2,bot_bo1649642514l_bool)))
% 2.90/2.96 => ( A = bot_bo1649642514l_bool
% 2.90/2.96 | A = insert1325755072e_bool(X_2,bot_bo1649642514l_bool) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_101_subset__singletonD,axiom,
% 2.90/2.96 ! [A,X_2] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,A),insert1556680138e_bool(X_2,bot_bo535777328l_bool)))
% 2.90/2.96 => ( A = bot_bo535777328l_bool
% 2.90/2.96 | A = insert1556680138e_bool(X_2,bot_bo535777328l_bool) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_102_subset__singletonD,axiom,
% 2.90/2.96 ! [A,X_2] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),insert_pname(X_2,bot_bo844097828e_bool)))
% 2.90/2.96 => ( A = bot_bo844097828e_bool
% 2.90/2.96 | A = insert_pname(X_2,bot_bo844097828e_bool) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_103_MGF,axiom,
% 2.90/2.96 ! [C_1] :
% 2.90/2.96 ( hBOOL(hoare_165779456gleton)
% 2.90/2.96 => ( hBOOL(wT_bodies)
% 2.90/2.96 => ( hBOOL(wt(C_1))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,C_1),bot_bo620288102e_bool))) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_104_emptyE,axiom,
% 2.90/2.96 ! [A_2] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),bot_bo620288102e_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_105_emptyE,axiom,
% 2.90/2.96 ! [A_2] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),bot_bo1649642514l_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_106_emptyE,axiom,
% 2.90/2.96 ! [A_2] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_2),bot_bo535777328l_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_107_emptyE,axiom,
% 2.90/2.96 ! [A_2] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),bot_bo844097828e_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_108_insertCI,axiom,
% 2.90/2.96 ! [B_1,A_2,B] :
% 2.90/2.96 ( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),B))
% 2.90/2.96 => A_2 = B_1 )
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),insert1415133716_state(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_109_insertCI,axiom,
% 2.90/2.96 ! [B_1,A_2,B] :
% 2.90/2.96 ( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),B))
% 2.90/2.96 => A_2 = B_1 )
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),insert1325755072e_bool(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_110_insertCI,axiom,
% 2.90/2.96 ! [B_1,A_2,B] :
% 2.90/2.96 ( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_2),B))
% 2.90/2.96 => A_2 = B_1 )
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_2),insert1556680138e_bool(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_111_insertCI,axiom,
% 2.90/2.96 ! [B_1,A_2,B] :
% 2.90/2.96 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))
% 2.90/2.96 => A_2 = B_1 )
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),insert_pname(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_112_insertE,axiom,
% 2.90/2.96 ! [A_2,B_1,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),insert1415133716_state(B_1,A)))
% 2.90/2.96 => ( A_2 != B_1
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_113_insertE,axiom,
% 2.90/2.96 ! [A_2,B_1,A] :
% 2.90/2.96 ( ( is_fun_pname_bool(A_2)
% 2.90/2.96 & is_fun_pname_bool(B_1) )
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),insert1325755072e_bool(B_1,A)))
% 2.90/2.96 => ( A_2 != B_1
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),A)) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_114_insertE,axiom,
% 2.90/2.96 ! [A_2,B_1,A] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_2),insert1556680138e_bool(B_1,A)))
% 2.90/2.96 => ( A_2 != B_1
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_2),A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_115_insertE,axiom,
% 2.90/2.96 ! [A_2,B_1,A] :
% 2.90/2.96 ( ( is_pname(A_2)
% 2.90/2.96 & is_pname(B_1) )
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),insert_pname(B_1,A)))
% 2.90/2.96 => ( A_2 != B_1
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_116_equalityI,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),A))
% 2.90/2.96 => A = B ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_117_equalityI,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( ( is_fun1661590463l_bool(A)
% 2.90/2.96 & is_fun1661590463l_bool(B) )
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),A))
% 2.90/2.96 => A = B ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_118_equalityI,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,B),A))
% 2.90/2.96 => A = B ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_119_equalityI,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( ( is_fun_pname_bool(A)
% 2.90/2.96 & is_fun_pname_bool(B) )
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))
% 2.90/2.96 => A = B ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_120_subsetD,axiom,
% 2.90/2.96 ! [C_1,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,C_1),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,C_1),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_121_subsetD,axiom,
% 2.90/2.96 ! [C_1,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,C_1),A))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,C_1),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_122_subsetD,axiom,
% 2.90/2.96 ! [C_1,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,C_1),A))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,C_1),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_123_subsetD,axiom,
% 2.90/2.96 ! [C_1,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_124_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_H356885323e_bool(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B_1),image_2131964411e_bool(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_125_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_H1049623551e_bool(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,B_1),image_1828608335e_bool(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_126_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_p61793385e_bool(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B_1),image_47868345e_bool(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_127_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_p442853985e_bool(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,B_1),image_70449425e_bool(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_128_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_f888949707_state(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),image_516545147_state(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_129_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_f1387463497_state(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),image_18964633_state(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_130_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_H1621176307_pname(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_54689091_pname(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_131_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_pname_pname(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_pname_pname(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_132_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_f1297739591_pname(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_1283814551_pname(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_133_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_f560369737_pname(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_187965177_pname(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_134_image__eqI,axiom,
% 2.90/2.96 ! [A,B_1,F,X_2] :
% 2.90/2.96 ( B_1 = hAPP_p1422361149_state(F,X_2)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),image_2003357581_state(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_135_equals0D,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( A = bot_bo1649642514l_bool
% 2.90/2.96 => ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_136_equals0D,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( A = bot_bo535777328l_bool
% 2.90/2.96 => ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_2),A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_137_equals0D,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( A = bot_bo620288102e_bool
% 2.90/2.96 => ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_138_equals0D,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( A = bot_bo844097828e_bool
% 2.90/2.96 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_139_Collect__empty__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( collec1613912337l_bool(P_1) = bot_bo1537088220l_bool
% 2.90/2.96 <=> ! [X_1] :
% 2.90/2.96 ( is_fun1661590463l_bool(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_f1935102916l_bool(P_1,X_1)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_140_Collect__empty__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( collec488126193l_bool(P_1) = bot_bo1761158942l_bool
% 2.90/2.96 <=> ! [X_1] : ~ hBOOL(hAPP_f166538662l_bool(P_1,X_1)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_141_Collect__empty__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( collec1823980261e_bool(P_1) = bot_bo535777328l_bool
% 2.90/2.96 <=> ! [X_1] : ~ hBOOL(hAPP_f971112728l_bool(P_1,X_1)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_142_Collect__empty__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( collec1974731493e_bool(P_1) = bot_bo1649642514l_bool
% 2.90/2.96 <=> ! [X_1] :
% 2.90/2.96 ( is_fun_pname_bool(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_f1664156314l_bool(P_1,X_1)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_143_Collect__empty__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( collec307967673_state(P_1) = bot_bo620288102e_bool
% 2.90/2.96 <=> ! [X_1] : ~ hBOOL(hAPP_H78829294e_bool(P_1,X_1)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_144_Collect__empty__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( collect_pname(P_1) = bot_bo844097828e_bool
% 2.90/2.96 <=> ! [X_1] :
% 2.90/2.96 ( is_pname(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_pname_bool(P_1,X_1)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_145_empty__iff,axiom,
% 2.90/2.96 ! [C_1] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,C_1),bot_bo1649642514l_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_146_empty__iff,axiom,
% 2.90/2.96 ! [C_1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,C_1),bot_bo535777328l_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_147_empty__iff,axiom,
% 2.90/2.96 ! [C_1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,C_1),bot_bo620288102e_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_148_empty__iff,axiom,
% 2.90/2.96 ! [C_1] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),bot_bo844097828e_bool)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_149_empty__Collect__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( bot_bo1537088220l_bool = collec1613912337l_bool(P_1)
% 2.90/2.96 <=> ! [X_1] :
% 2.90/2.96 ( is_fun1661590463l_bool(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_f1935102916l_bool(P_1,X_1)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_150_empty__Collect__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( bot_bo1761158942l_bool = collec488126193l_bool(P_1)
% 2.90/2.96 <=> ! [X_1] : ~ hBOOL(hAPP_f166538662l_bool(P_1,X_1)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_151_empty__Collect__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( bot_bo535777328l_bool = collec1823980261e_bool(P_1)
% 2.90/2.96 <=> ! [X_1] : ~ hBOOL(hAPP_f971112728l_bool(P_1,X_1)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_152_empty__Collect__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( bot_bo1649642514l_bool = collec1974731493e_bool(P_1)
% 2.90/2.96 <=> ! [X_1] :
% 2.90/2.96 ( is_fun_pname_bool(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_f1664156314l_bool(P_1,X_1)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_153_empty__Collect__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( bot_bo620288102e_bool = collec307967673_state(P_1)
% 2.90/2.96 <=> ! [X_1] : ~ hBOOL(hAPP_H78829294e_bool(P_1,X_1)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_154_empty__Collect__eq,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( bot_bo844097828e_bool = collect_pname(P_1)
% 2.90/2.96 <=> ! [X_1] :
% 2.90/2.96 ( is_pname(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_pname_bool(P_1,X_1)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_155_ex__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( is_fun1661590463l_bool(A)
% 2.90/2.96 => ( ? [X_1] :
% 2.90/2.96 ( is_fun_pname_bool(X_1)
% 2.90/2.96 & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A)) )
% 2.90/2.96 <=> A != bot_bo1649642514l_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_156_ex__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( ? [X_1] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X_1),A))
% 2.90/2.96 <=> A != bot_bo535777328l_bool ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_157_ex__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( ? [X_1] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A))
% 2.90/2.96 <=> A != bot_bo620288102e_bool ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_158_ex__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( ? [X_1] :
% 2.90/2.96 ( is_pname(X_1)
% 2.90/2.96 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) )
% 2.90/2.96 <=> A != bot_bo844097828e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_159_all__not__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( is_fun1661590463l_bool(A)
% 2.90/2.96 => ( ! [X_1] :
% 2.90/2.96 ( is_fun_pname_bool(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A)) )
% 2.90/2.96 <=> A = bot_bo1649642514l_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_160_all__not__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( ! [X_1] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X_1),A))
% 2.90/2.96 <=> A = bot_bo535777328l_bool ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_161_all__not__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( ! [X_1] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A))
% 2.90/2.96 <=> A = bot_bo620288102e_bool ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_162_all__not__in__conv,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( ! [X_1] :
% 2.90/2.96 ( is_pname(X_1)
% 2.90/2.96 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) )
% 2.90/2.96 <=> A = bot_bo844097828e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_163_empty__def,axiom,
% 2.90/2.96 bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_164_empty__def,axiom,
% 2.90/2.96 bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_165_empty__def,axiom,
% 2.90/2.96 bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_166_empty__def,axiom,
% 2.90/2.96 bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_167_empty__def,axiom,
% 2.90/2.96 bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_168_insert__absorb,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))
% 2.90/2.96 => insert_pname(A_2,A) = A ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_169_insert__absorb,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),A))
% 2.90/2.96 => insert1415133716_state(A_2,A) = A ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_170_insertI2,axiom,
% 2.90/2.96 ! [B_1,A_2,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),insert_pname(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_171_insertI2,axiom,
% 2.90/2.96 ! [B_1,A_2,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),B))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),insert1415133716_state(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_172_insert__ident,axiom,
% 2.90/2.96 ! [B,X_2,A] :
% 2.90/2.96 ( ( is_fun_pname_bool(B)
% 2.90/2.96 & is_fun_pname_bool(A) )
% 2.90/2.96 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B))
% 2.90/2.96 => ( insert_pname(X_2,A) = insert_pname(X_2,B)
% 2.90/2.96 <=> A = B ) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_173_insert__ident,axiom,
% 2.90/2.96 ! [B,X_2,A] :
% 2.90/2.96 ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),B))
% 2.90/2.96 => ( insert1415133716_state(X_2,A) = insert1415133716_state(X_2,B)
% 2.90/2.96 <=> A = B ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_174_insert__code,axiom,
% 2.90/2.96 ! [Y_2,A,X_2] :
% 2.90/2.96 ( ( is_pname(Y_2)
% 2.90/2.96 & is_pname(X_2) )
% 2.90/2.96 => ( hBOOL(hAPP_pname_bool(insert_pname(Y_2,A),X_2))
% 2.90/2.96 <=> ( Y_2 = X_2
% 2.90/2.96 | hBOOL(hAPP_pname_bool(A,X_2)) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_175_insert__code,axiom,
% 2.90/2.96 ! [Y_2,A,X_2] :
% 2.90/2.96 ( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(Y_2,A),X_2))
% 2.90/2.96 <=> ( Y_2 = X_2
% 2.90/2.96 | hBOOL(hAPP_H78829294e_bool(A,X_2)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_176_insert__iff,axiom,
% 2.90/2.96 ! [A_2,B_1,A] :
% 2.90/2.96 ( ( is_pname(A_2)
% 2.90/2.96 & is_pname(B_1) )
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),insert_pname(B_1,A)))
% 2.90/2.96 <=> ( A_2 = B_1
% 2.90/2.96 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_177_insert__iff,axiom,
% 2.90/2.96 ! [A_2,B_1,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),insert1415133716_state(B_1,A)))
% 2.90/2.96 <=> ( A_2 = B_1
% 2.90/2.96 | hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_178_insert__commute,axiom,
% 2.90/2.96 ! [X_2,Y_2,A] : insert_pname(X_2,insert_pname(Y_2,A)) = insert_pname(Y_2,insert_pname(X_2,A)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_179_insert__commute,axiom,
% 2.90/2.96 ! [X_2,Y_2,A] : insert1415133716_state(X_2,insert1415133716_state(Y_2,A)) = insert1415133716_state(Y_2,insert1415133716_state(X_2,A)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_180_insert__absorb2,axiom,
% 2.90/2.96 ! [X_2,A] : insert_pname(X_2,insert_pname(X_2,A)) = insert_pname(X_2,A) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_181_insert__absorb2,axiom,
% 2.90/2.96 ! [X_2,A] : insert1415133716_state(X_2,insert1415133716_state(X_2,A)) = insert1415133716_state(X_2,A) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_182_insert__Collect,axiom,
% 2.90/2.96 ! [A_2,P_1] : insert_pname(A_2,collect_pname(P_1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2))),P_1)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_183_insert__Collect,axiom,
% 2.90/2.96 ! [A_2,P_1] : insert1415133716_state(A_2,collec307967673_state(P_1)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),A_2))),P_1)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_184_insert__Collect,axiom,
% 2.90/2.96 ! [A_2,P_1] : insert1325755072e_bool(A_2,collec1974731493e_bool(P_1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_2))),P_1)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_185_insert__Collect,axiom,
% 2.90/2.96 ! [A_2,P_1] : insert1556680138e_bool(A_2,collec1823980261e_bool(P_1)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),A_2))),P_1)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_186_insert__compr,axiom,
% 2.90/2.96 ! [A_2,B] : insert_pname(A_2,B) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_187_insert__compr,axiom,
% 2.90/2.96 ! [A_2,B] : insert1415133716_state(A_2,B) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),A_2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_188_insert__compr,axiom,
% 2.90/2.96 ! [A_2,B] : insert1325755072e_bool(A_2,B) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_189_insert__compr,axiom,
% 2.90/2.96 ! [A_2,B] : insert1556680138e_bool(A_2,B) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),A_2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_190_insertI1,axiom,
% 2.90/2.96 ! [A_2,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),insert_pname(A_2,B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_191_insertI1,axiom,
% 2.90/2.96 ! [A_2,B] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_2),insert1415133716_state(A_2,B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_192_equalityE,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_193_equalityE,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 => ~ ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_194_subset__trans,axiom,
% 2.90/2.96 ! [C_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),C_2))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C_2)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_195_subset__trans,axiom,
% 2.90/2.96 ! [C_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),C_2))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),C_2)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_196_set__mp,axiom,
% 2.90/2.96 ! [X_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_197_set__mp,axiom,
% 2.90/2.96 ! [X_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_198_set__rev__mp,axiom,
% 2.90/2.96 ! [B,X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_199_set__rev__mp,axiom,
% 2.90/2.96 ! [B,X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_200_in__mono,axiom,
% 2.90/2.96 ! [X_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_201_in__mono,axiom,
% 2.90/2.96 ! [X_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_202_equalityD2,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_203_equalityD2,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_204_equalityD1,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_205_equalityD1,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_206_set__eq__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( ( is_fun_pname_bool(A)
% 2.90/2.96 & is_fun_pname_bool(B) )
% 2.90/2.96 => ( A = B
% 2.90/2.96 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_207_set__eq__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( A = B
% 2.90/2.96 <=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 & hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_208_subset__refl,axiom,
% 2.90/2.96 ! [A] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),A)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_209_subset__refl,axiom,
% 2.90/2.96 ! [A] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),A)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_210_rev__image__eqI,axiom,
% 2.90/2.96 ! [B_1,F,X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => ( B_1 = hAPP_p1422361149_state(F,X_2)
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),image_2003357581_state(F,A))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_211_imageI,axiom,
% 2.90/2.96 ! [F,X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(F,X_2)),image_2003357581_state(F,A))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_212_image__iff,axiom,
% 2.90/2.96 ! [Z,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,Z),image_2003357581_state(F,A)))
% 2.90/2.96 <=> ? [X_1] :
% 2.90/2.96 ( is_pname(X_1)
% 2.90/2.96 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 2.90/2.96 & Z = hAPP_p1422361149_state(F,X_1) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_213_finite__Collect__disjI,axiom,
% 2.90/2.96 ! [P_1,Q_1] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,P_1),Q_1))))
% 2.90/2.96 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(P_1)))
% 2.90/2.96 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_214_finite__Collect__disjI,axiom,
% 2.90/2.96 ! [P_1,Q_1] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,P_1),Q_1))))
% 2.90/2.96 <=> ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(P_1)))
% 2.90/2.96 & hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(Q_1))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_215_finite__Collect__disjI,axiom,
% 2.90/2.96 ! [P_1,Q_1] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,P_1),Q_1))))
% 2.90/2.96 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(P_1)))
% 2.90/2.96 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_216_finite__Collect__disjI,axiom,
% 2.90/2.96 ! [P_1,Q_1] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,P_1),Q_1))))
% 2.90/2.96 <=> ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(P_1)))
% 2.90/2.96 & hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(Q_1))) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_217_insert__compr__raw,axiom,
% 2.90/2.96 ! [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))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_218_insert__compr__raw,axiom,
% 2.90/2.96 ! [X_1,Xa] : insert1415133716_state(X_1,Xa) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X_1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),Xa))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_219_insert__compr__raw,axiom,
% 2.90/2.96 ! [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))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_220_insert__compr__raw,axiom,
% 2.90/2.96 ! [X_1,Xa] : insert1556680138e_bool(X_1,Xa) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X_1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),Xa))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_221_singleton__inject,axiom,
% 2.90/2.96 ! [A_2,B_1] :
% 2.90/2.96 ( ( is_pname(A_2)
% 2.90/2.96 & is_pname(B_1) )
% 2.90/2.96 => ( insert_pname(A_2,bot_bo844097828e_bool) = insert_pname(B_1,bot_bo844097828e_bool)
% 2.90/2.96 => A_2 = B_1 ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_222_singleton__inject,axiom,
% 2.90/2.96 ! [A_2,B_1] :
% 2.90/2.96 ( insert1415133716_state(A_2,bot_bo620288102e_bool) = insert1415133716_state(B_1,bot_bo620288102e_bool)
% 2.90/2.96 => A_2 = B_1 ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_223_singletonE,axiom,
% 2.90/2.96 ! [B_1,A_2] :
% 2.90/2.96 ( ( is_pname(B_1)
% 2.90/2.96 & is_pname(A_2) )
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_2,bot_bo844097828e_bool)))
% 2.90/2.96 => B_1 = A_2 ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_224_singletonE,axiom,
% 2.90/2.96 ! [B_1,A_2] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),insert1415133716_state(A_2,bot_bo620288102e_bool)))
% 2.90/2.96 => B_1 = A_2 ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_225_doubleton__eq__iff,axiom,
% 2.90/2.96 ! [A_2,B_1,C_1,D_1] :
% 2.90/2.96 ( ( is_pname(A_2)
% 2.90/2.96 & is_pname(B_1)
% 2.90/2.96 & is_pname(C_1)
% 2.90/2.96 & is_pname(D_1) )
% 2.90/2.96 => ( insert_pname(A_2,insert_pname(B_1,bot_bo844097828e_bool)) = insert_pname(C_1,insert_pname(D_1,bot_bo844097828e_bool))
% 2.90/2.96 <=> ( ( A_2 = C_1
% 2.90/2.96 & B_1 = D_1 )
% 2.90/2.96 | ( A_2 = D_1
% 2.90/2.96 & B_1 = C_1 ) ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_226_doubleton__eq__iff,axiom,
% 2.90/2.96 ! [A_2,B_1,C_1,D_1] :
% 2.90/2.96 ( insert1415133716_state(A_2,insert1415133716_state(B_1,bot_bo620288102e_bool)) = insert1415133716_state(C_1,insert1415133716_state(D_1,bot_bo620288102e_bool))
% 2.90/2.96 <=> ( ( A_2 = C_1
% 2.90/2.96 & B_1 = D_1 )
% 2.90/2.96 | ( A_2 = D_1
% 2.90/2.96 & B_1 = C_1 ) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_227_singleton__iff,axiom,
% 2.90/2.96 ! [B_1,A_2] :
% 2.90/2.96 ( ( is_pname(B_1)
% 2.90/2.96 & is_pname(A_2) )
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_2,bot_bo844097828e_bool)))
% 2.90/2.96 <=> B_1 = A_2 ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_228_singleton__iff,axiom,
% 2.90/2.96 ! [B_1,A_2] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),insert1415133716_state(A_2,bot_bo620288102e_bool)))
% 2.90/2.96 <=> B_1 = A_2 ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_229_insert__not__empty,axiom,
% 2.90/2.96 ! [A_2,A] : insert_pname(A_2,A) != bot_bo844097828e_bool ).
% 2.90/2.96
% 2.90/2.96 fof(fact_230_insert__not__empty,axiom,
% 2.90/2.96 ! [A_2,A] : insert1415133716_state(A_2,A) != bot_bo620288102e_bool ).
% 2.90/2.96
% 2.90/2.96 fof(fact_231_empty__not__insert,axiom,
% 2.90/2.96 ! [A_2,A] : bot_bo844097828e_bool != insert_pname(A_2,A) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_232_empty__not__insert,axiom,
% 2.90/2.96 ! [A_2,A] : bot_bo620288102e_bool != insert1415133716_state(A_2,A) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_233_finite__insert,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_2,A)))
% 2.90/2.96 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_234_finite__insert,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(A_2,A)))
% 2.90/2.96 <=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_235_finite__insert,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_2,A)))
% 2.90/2.96 <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_236_finite__insert,axiom,
% 2.90/2.96 ! [A_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(A_2,A)))
% 2.90/2.96 <=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_237_subset__empty,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),bot_bo844097828e_bool))
% 2.90/2.96 <=> A = bot_bo844097828e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_238_subset__empty,axiom,
% 2.90/2.96 ! [A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),bot_bo620288102e_bool))
% 2.90/2.96 <=> A = bot_bo620288102e_bool ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_239_image__is__empty,axiom,
% 2.90/2.96 ! [F,A] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( image_2003357581_state(F,A) = bot_bo620288102e_bool
% 2.90/2.96 <=> A = bot_bo844097828e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_240_image__empty,axiom,
% 2.90/2.96 ! [F] : image_2003357581_state(F,bot_bo844097828e_bool) = bot_bo620288102e_bool ).
% 2.90/2.96
% 2.90/2.96 fof(fact_241_empty__is__image,axiom,
% 2.90/2.96 ! [F,A] :
% 2.90/2.96 ( is_fun_pname_bool(A)
% 2.90/2.96 => ( bot_bo620288102e_bool = image_2003357581_state(F,A)
% 2.90/2.96 <=> A = bot_bo844097828e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_242_finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_243_finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,B))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_244_finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_245_finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,B))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_246_rev__finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 2.90/2.96 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_247_rev__finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,B))
% 2.90/2.96 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_248_rev__finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_249_rev__finite__subset,axiom,
% 2.90/2.96 ! [A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,B))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(finite364844667_state,A)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_250_insert__mono,axiom,
% 2.90/2.96 ! [A_2,C_2,D] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_2),D))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(A_2,C_2)),insert_pname(A_2,D))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_251_insert__mono,axiom,
% 2.90/2.96 ! [A_2,C_2,D] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,C_2),D))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(A_2,C_2)),insert1415133716_state(A_2,D))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_252_mem__def,axiom,
% 2.90/2.96 ! [X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 <=> hBOOL(hAPP_pname_bool(A,X_2)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_253_mem__def,axiom,
% 2.90/2.96 ! [X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 <=> hBOOL(hAPP_H78829294e_bool(A,X_2)) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_254_Collect__def,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( is_fun_pname_bool(P_1)
% 2.90/2.96 => collect_pname(P_1) = P_1 ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_255_Collect__def,axiom,
% 2.90/2.96 ! [P_1] : collec307967673_state(P_1) = P_1 ).
% 2.90/2.96
% 2.90/2.96 fof(fact_256_Collect__def,axiom,
% 2.90/2.96 ! [P_1] :
% 2.90/2.96 ( is_fun1661590463l_bool(P_1)
% 2.90/2.96 => collec1974731493e_bool(P_1) = P_1 ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_257_Collect__def,axiom,
% 2.90/2.96 ! [P_1] : collec1823980261e_bool(P_1) = P_1 ).
% 2.90/2.96
% 2.90/2.96 fof(fact_258_subset__insertI2,axiom,
% 2.90/2.96 ! [B_1,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),insert_pname(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_259_subset__insertI2,axiom,
% 2.90/2.96 ! [B_1,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),insert1415133716_state(B_1,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_260_subset__insert,axiom,
% 2.90/2.96 ! [B,X_2,A] :
% 2.90/2.96 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),insert_pname(X_2,B)))
% 2.90/2.96 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_261_subset__insert,axiom,
% 2.90/2.96 ! [B,X_2,A] :
% 2.90/2.96 ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),A))
% 2.90/2.96 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),insert1415133716_state(X_2,B)))
% 2.90/2.96 <=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_262_insert__subset,axiom,
% 2.90/2.96 ! [X_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_2,A)),B))
% 2.90/2.96 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B))
% 2.90/2.96 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_263_insert__subset,axiom,
% 2.90/2.96 ! [X_2,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X_2,A)),B))
% 2.90/2.96 <=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_2),B))
% 2.90/2.96 & hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B)) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_264_subset__insertI,axiom,
% 2.90/2.96 ! [B,A_2] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),insert_pname(A_2,B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_265_subset__insertI,axiom,
% 2.90/2.96 ! [B,A_2] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),insert1415133716_state(A_2,B))) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_266_insert__image,axiom,
% 2.90/2.96 ! [F,X_2,A] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 2.90/2.96 => insert1415133716_state(hAPP_p1422361149_state(F,X_2),image_2003357581_state(F,A)) = image_2003357581_state(F,A) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_267_image__insert,axiom,
% 2.90/2.96 ! [F,A_2,B] : image_2003357581_state(F,insert_pname(A_2,B)) = insert1415133716_state(hAPP_p1422361149_state(F,A_2),image_2003357581_state(F,B)) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_268_image__mono,axiom,
% 2.90/2.96 ! [F,A,B] :
% 2.90/2.96 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 2.90/2.96 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(F,A)),image_2003357581_state(F,B))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_269_subset__image__iff,axiom,
% 2.90/2.96 ! [B,F,A] :
% 2.90/2.96 ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_2003357581_state(F,A)))
% 2.90/2.96 <=> ? [AA] :
% 2.90/2.96 ( is_fun_pname_bool(AA)
% 2.90/2.96 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A))
% 2.90/2.96 & B = image_2003357581_state(F,AA) ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_270_domI,axiom,
% 2.90/2.96 ! [M,A_2,B_1] :
% 2.90/2.96 ( hAPP_p799580910on_com(M,A_2) = some_com(B_1)
% 2.90/2.96 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),dom_pname_com(M))) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_271_Collect__conv__if,axiom,
% 2.90/2.96 ! [P_1,A_2] :
% 2.90/2.96 ( ( hBOOL(hAPP_pname_bool(P_1,A_2))
% 2.90/2.96 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2)),P_1)) = insert_pname(A_2,bot_bo844097828e_bool) )
% 2.90/2.96 & ( ~ hBOOL(hAPP_pname_bool(P_1,A_2))
% 2.90/2.96 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2)),P_1)) = bot_bo844097828e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_272_Collect__conv__if,axiom,
% 2.90/2.96 ! [P_1,A_2] :
% 2.90/2.96 ( ( hBOOL(hAPP_H78829294e_bool(P_1,A_2))
% 2.90/2.96 => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),A_2)),P_1)) = insert1415133716_state(A_2,bot_bo620288102e_bool) )
% 2.90/2.96 & ( ~ hBOOL(hAPP_H78829294e_bool(P_1,A_2))
% 2.90/2.96 => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),A_2)),P_1)) = bot_bo620288102e_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_273_Collect__conv__if,axiom,
% 2.90/2.96 ! [P_1,A_2] :
% 2.90/2.96 ( ( hBOOL(hAPP_f1664156314l_bool(P_1,A_2))
% 2.90/2.96 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_2)),P_1)) = insert1325755072e_bool(A_2,bot_bo1649642514l_bool) )
% 2.90/2.96 & ( ~ hBOOL(hAPP_f1664156314l_bool(P_1,A_2))
% 2.90/2.96 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_2)),P_1)) = bot_bo1649642514l_bool ) ) ).
% 2.90/2.96
% 2.90/2.96 fof(fact_274_Collect__conv__if,axiom,
% 2.90/2.96 ! [P_1,A_2] :
% 2.90/2.96 ( ( hBOOL(hAPP_f971112728l_bool(P_1,A_2))
% 2.90/2.96 => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),A_2)),P_1)) = insert1556680138e_bool(A_2,bot_bo535777328l_bool) )
% 2.90/2.97 & ( ~ hBOOL(hAPP_f971112728l_bool(P_1,A_2))
% 2.90/2.97 => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),A_2)),P_1)) = bot_bo535777328l_bool ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_275_Collect__conv__if2,axiom,
% 2.90/2.97 ! [P_1,A_2] :
% 2.90/2.97 ( ( hBOOL(hAPP_pname_bool(P_1,A_2))
% 2.90/2.97 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,A_2)),P_1)) = insert_pname(A_2,bot_bo844097828e_bool) )
% 2.90/2.97 & ( ~ hBOOL(hAPP_pname_bool(P_1,A_2))
% 2.90/2.97 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,A_2)),P_1)) = bot_bo844097828e_bool ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_276_Collect__conv__if2,axiom,
% 2.90/2.97 ! [P_1,A_2] :
% 2.90/2.97 ( ( hBOOL(hAPP_H78829294e_bool(P_1,A_2))
% 2.90/2.97 => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,A_2)),P_1)) = insert1415133716_state(A_2,bot_bo620288102e_bool) )
% 2.90/2.97 & ( ~ hBOOL(hAPP_H78829294e_bool(P_1,A_2))
% 2.90/2.97 => collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,A_2)),P_1)) = bot_bo620288102e_bool ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_277_Collect__conv__if2,axiom,
% 2.90/2.97 ! [P_1,A_2] :
% 2.90/2.97 ( ( hBOOL(hAPP_f1664156314l_bool(P_1,A_2))
% 2.90/2.97 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,A_2)),P_1)) = insert1325755072e_bool(A_2,bot_bo1649642514l_bool) )
% 2.90/2.97 & ( ~ hBOOL(hAPP_f1664156314l_bool(P_1,A_2))
% 2.90/2.97 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,A_2)),P_1)) = bot_bo1649642514l_bool ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_278_Collect__conv__if2,axiom,
% 2.90/2.97 ! [P_1,A_2] :
% 2.90/2.97 ( ( hBOOL(hAPP_f971112728l_bool(P_1,A_2))
% 2.90/2.97 => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,A_2)),P_1)) = insert1556680138e_bool(A_2,bot_bo535777328l_bool) )
% 2.90/2.97 & ( ~ hBOOL(hAPP_f971112728l_bool(P_1,A_2))
% 2.90/2.97 => collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,A_2)),P_1)) = bot_bo535777328l_bool ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_279_singleton__conv,axiom,
% 2.90/2.97 ! [A_2] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2)) = insert_pname(A_2,bot_bo844097828e_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_280_singleton__conv,axiom,
% 2.90/2.97 ! [A_2] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),A_2)) = insert1415133716_state(A_2,bot_bo620288102e_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_281_singleton__conv,axiom,
% 2.90/2.97 ! [A_2] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_2)) = insert1325755072e_bool(A_2,bot_bo1649642514l_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_282_singleton__conv,axiom,
% 2.90/2.97 ! [A_2] : collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),A_2)) = insert1556680138e_bool(A_2,bot_bo535777328l_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_283_singleton__conv2,axiom,
% 2.90/2.97 ! [A_2] : collect_pname(hAPP_p61793385e_bool(fequal_pname,A_2)) = insert_pname(A_2,bot_bo844097828e_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_284_singleton__conv2,axiom,
% 2.90/2.97 ! [A_2] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,A_2)) = insert1415133716_state(A_2,bot_bo620288102e_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_285_singleton__conv2,axiom,
% 2.90/2.97 ! [A_2] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,A_2)) = insert1325755072e_bool(A_2,bot_bo1649642514l_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_286_singleton__conv2,axiom,
% 2.90/2.97 ! [A_2] : collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,A_2)) = insert1556680138e_bool(A_2,bot_bo535777328l_bool) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_287_MGF__lemma1,axiom,
% 2.90/2.97 ! [C_1,G] :
% 2.90/2.97 ( hBOOL(hoare_165779456gleton)
% 2.90/2.97 => ( ! [X_1] :
% 2.90/2.97 ( is_pname(X_1)
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),dom_pname_com(body)))
% 2.90/2.97 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X_1)),bot_bo620288102e_bool))) ) )
% 2.90/2.97 => ( hBOOL(wt(C_1))
% 2.90/2.97 => hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(G),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,C_1),bot_bo620288102e_bool))) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_288_WT__bodiesD,axiom,
% 2.90/2.97 ! [Pn,B_2] :
% 2.90/2.97 ( hBOOL(wT_bodies)
% 2.90/2.97 => ( hAPP_p799580910on_com(body,Pn) = some_com(B_2)
% 2.90/2.97 => hBOOL(wt(B_2)) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_289_imageE,axiom,
% 2.90/2.97 ! [B_1,F,A] :
% 2.90/2.97 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,B_1),image_2003357581_state(F,A)))
% 2.90/2.97 => ~ ! [X_1] :
% 2.90/2.97 ( is_pname(X_1)
% 2.90/2.97 => ( B_1 = hAPP_p1422361149_state(F,X_1)
% 2.90/2.97 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_290_finite__subset__induct,axiom,
% 2.90/2.97 ! [P_1,A,Fa] :
% 2.90/2.97 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Fa),A))
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(P_1,bot_bo844097828e_bool))
% 2.90/2.97 => ( ! [A_1,F_1] :
% 2.90/2.97 ( ( is_pname(A_1)
% 2.90/2.97 & is_fun_pname_bool(F_1) )
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),A))
% 2.90/2.97 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(P_1,F_1))
% 2.90/2.97 => hBOOL(hAPP_f1664156314l_bool(P_1,insert_pname(A_1,F_1))) ) ) ) ) )
% 2.90/2.97 => hBOOL(hAPP_f1664156314l_bool(P_1,Fa)) ) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_291_finite__subset__induct,axiom,
% 2.90/2.97 ! [P_1,A,Fa] :
% 2.90/2.97 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,Fa))
% 2.90/2.97 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,Fa),A))
% 2.90/2.97 => ( hBOOL(hAPP_f971112728l_bool(P_1,bot_bo620288102e_bool))
% 2.90/2.97 => ( ! [A_1,F_1] :
% 2.90/2.97 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_1),A))
% 2.90/2.97 => ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,A_1),F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f971112728l_bool(P_1,F_1))
% 2.90/2.97 => hBOOL(hAPP_f971112728l_bool(P_1,insert1415133716_state(A_1,F_1))) ) ) ) )
% 2.90/2.97 => hBOOL(hAPP_f971112728l_bool(P_1,Fa)) ) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_292_finite__subset__induct,axiom,
% 2.90/2.97 ! [P_1,A,Fa] :
% 2.90/2.97 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 2.90/2.97 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,Fa),A))
% 2.90/2.97 => ( hBOOL(hAPP_f1935102916l_bool(P_1,bot_bo1649642514l_bool))
% 2.90/2.97 => ( ! [A_1,F_1] :
% 2.90/2.97 ( ( is_fun_pname_bool(A_1)
% 2.90/2.97 & is_fun1661590463l_bool(F_1) )
% 2.90/2.97 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_1),A))
% 2.90/2.97 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_1),F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f1935102916l_bool(P_1,F_1))
% 2.90/2.97 => hBOOL(hAPP_f1935102916l_bool(P_1,insert1325755072e_bool(A_1,F_1))) ) ) ) ) )
% 2.90/2.97 => hBOOL(hAPP_f1935102916l_bool(P_1,Fa)) ) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_293_finite__subset__induct,axiom,
% 2.90/2.97 ! [P_1,A,Fa] :
% 2.90/2.97 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,Fa))
% 2.90/2.97 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,Fa),A))
% 2.90/2.97 => ( hBOOL(hAPP_f166538662l_bool(P_1,bot_bo535777328l_bool))
% 2.90/2.97 => ( ! [A_1,F_1] :
% 2.90/2.97 ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_1),A))
% 2.90/2.97 => ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,A_1),F_1))
% 2.90/2.97 => ( hBOOL(hAPP_f166538662l_bool(P_1,F_1))
% 2.90/2.97 => hBOOL(hAPP_f166538662l_bool(P_1,insert1556680138e_bool(A_1,F_1))) ) ) ) )
% 2.90/2.97 => hBOOL(hAPP_f166538662l_bool(P_1,Fa)) ) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_294_WTs__elim__cases_I7_J,axiom,
% 2.90/2.97 ! [P] :
% 2.90/2.97 ( hBOOL(wt(hAPP_pname_com(body_1,P)))
% 2.90/2.97 => ~ ! [Y_1] : hAPP_p799580910on_com(body,P) != some_com(Y_1) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_295_subsetI,axiom,
% 2.90/2.97 ! [B,A] :
% 2.90/2.97 ( ! [X_1] :
% 2.90/2.97 ( is_pname(X_1)
% 2.90/2.97 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 2.90/2.97 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) )
% 2.90/2.97 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_296_subsetI,axiom,
% 2.90/2.97 ! [B,A] :
% 2.90/2.97 ( ! [X_1] :
% 2.90/2.97 ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),A))
% 2.90/2.97 => hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X_1),B)) )
% 2.90/2.97 => hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,A),B)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_297_finite__subset__image,axiom,
% 2.90/2.97 ! [F,A,B] :
% 2.90/2.97 ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,B))
% 2.90/2.97 => ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,B),image_2003357581_state(F,A)))
% 2.90/2.97 => ? [C] :
% 2.90/2.97 ( is_fun_pname_bool(C)
% 2.90/2.97 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),A))
% 2.90/2.97 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C))
% 2.90/2.97 & B = image_2003357581_state(F,C) ) ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_298_finite__dom__body,axiom,
% 2.90/2.97 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))) ).
% 2.90/2.97
% 2.90/2.97 fof(fact_299_com_Osimps_I6_J,axiom,
% 2.90/2.97 ! [Pname_1,Pname] :
% 2.90/2.97 ( ( is_pname(Pname_1)
% 2.90/2.97 & is_pname(Pname) )
% 2.90/2.97 => ( hAPP_pname_com(body_1,Pname_1) = hAPP_pname_com(body_1,Pname)
% 2.90/2.97 <=> Pname_1 = Pname ) ) ).
% 2.90/2.97
% 2.90/2.97 %----Helper facts (67)
% 2.90/2.97 fof(help_fNot_1_1_U,axiom,
% 2.90/2.97 ! [P] :
% 2.90/2.97 ( ~ hBOOL(hAPP_bool_bool(fNot,P))
% 2.90/2.97 | ~ hBOOL(P) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fNot_2_1_U,axiom,
% 2.90/2.97 ! [P] :
% 2.90/2.97 ( hBOOL(P)
% 2.90/2.97 | hBOOL(hAPP_bool_bool(fNot,P)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fconj_1_1_U,axiom,
% 2.90/2.97 ! [Q,P] :
% 2.90/2.97 ( ~ hBOOL(P)
% 2.90/2.97 | ~ hBOOL(Q)
% 2.90/2.97 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fconj_2_1_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 2.90/2.97 | hBOOL(P) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fconj_3_1_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 2.90/2.97 | hBOOL(Q) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fdisj_1_1_U,axiom,
% 2.90/2.97 ! [Q,P] :
% 2.90/2.97 ( ~ hBOOL(P)
% 2.90/2.97 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fdisj_2_1_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( ~ hBOOL(Q)
% 2.90/2.97 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fdisj_3_1_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
% 2.90/2.97 | hBOOL(P)
% 2.90/2.97 | hBOOL(Q) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fFalse_1_1_U,axiom,
% 2.90/2.97 ~ hBOOL(fFalse) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fFalse_1_1_T,axiom,
% 2.90/2.97 ! [P] :
% 2.90/2.97 ( is_bool(P)
% 2.90/2.97 => ( P = fTrue
% 2.90/2.97 | P = fFalse ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fimplies_1_1_U,axiom,
% 2.90/2.97 ! [Q,P] :
% 2.90/2.97 ( hBOOL(P)
% 2.90/2.97 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fimplies_2_1_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( ~ hBOOL(Q)
% 2.90/2.97 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fimplies_3_1_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))
% 2.90/2.97 | ~ hBOOL(P)
% 2.90/2.97 | hBOOL(Q) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( ( is_pname(X)
% 2.90/2.97 & is_pname(Y) )
% 2.90/2.97 => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y))
% 2.90/2.97 | X = Y ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( X != Y
% 2.90/2.97 | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_bool(P)
% 2.90/2.97 => hAPP_pname_bool(cOMBK_bool_pname(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Com__Opname_U,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_pname(P)
% 2.90/2.97 => hAPP_pname_pname(cOMBK_pname_pname(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( ( is_fun_pname_bool(X)
% 2.90/2.97 & is_fun_pname_bool(Y) )
% 2.90/2.97 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y))
% 2.90/2.97 | X = Y ) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( X != Y
% 2.90/2.97 | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R) = hAPP_bool_bool(P,hAPP_pname_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 2.90/2.97 ! [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)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R) = hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_bool(P)
% 2.90/2.97 => hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_pname(P)
% 2.90/2.97 => hAPP_f1297739591_pname(cOMBK_948730864e_bool(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_fun_pname_bool(P)
% 2.90/2.97 => hAPP_p61793385e_bool(cOMBK_37193422_pname(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X),Y))
% 2.90/2.97 | X = Y ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( X != Y
% 2.90/2.97 | hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X),Y)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_pname_com(cOMBB_923936821_pname(P,Q),R) = hAPP_option_com_com(P,hAPP_p799580910on_com(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
% 2.90/2.97 ! [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)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_bool(P)
% 2.90/2.97 => hAPP_H78829294e_bool(cOMBK_659609255_state(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____jfehddehev_,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_pname(P)
% 2.90/2.97 => hAPP_H1621176307_pname(cOMBK_168215364_state(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__,axiom,
% 2.90/2.97 ! [P,Q] : hAPP_p1422361149_state(cOMBK_367030522_pname(P),Q) = P ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X),Y))
% 2.90/2.97 | X = Y ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple,axiom,
% 2.90/2.97 ! [X,Y] :
% 2.90/2.97 ( X != Y
% 2.90/2.97 | hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X),Y)) ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____jfehddehev__O,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_p1422361149_state(cOMBB_699532858_pname(P,Q),R) = hAPP_c1126217667_state(P,hAPP_pname_com(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_H78829294e_bool(cOMBB_2144135922_state(P,Q),R) = hAPP_bool_bool(P,hAPP_H78829294e_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_H78829294e_bool(cOMBS_458705923l_bool(P,Q),R) = hAPP_bool_bool(hAPP_H1187982158l_bool(P,R),hAPP_H78829294e_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f1935102916l_bool(cOMBS_811933079l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f32027384l_bool(P,R),hAPP_f1935102916l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____jfe,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_bool(P)
% 2.90/2.97 => hAPP_f971112728l_bool(cOMBK_129401207e_bool(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____jf,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_pname(P)
% 2.90/2.97 => hAPP_f560369737_pname(cOMBK_1589414042e_bool(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___007,axiom,
% 2.90/2.97 ! [P,Q] : hAPP_f888949707_state(cOMBK_1503445380e_bool(P),Q) = P ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_fun_pname_bool(P)
% 2.90/2.97 => hAPP_H356885323e_bool(cOMBK_2035509764_state(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I,axiom,
% 2.90/2.97 ! [P,Q] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(P),Q) = P ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f971112728l_bool(cOMBB_1522210668e_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_f971112728l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_H1187982158l_bool(cOMBB_962198420_state(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_H78829294e_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f971112728l_bool(cOMBS_2066081387l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f637090980l_bool(P,R),hAPP_f971112728l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f32027384l_bool(cOMBB_689948150l_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f1935102916l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_010,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Hoare____Mirabel,axiom,
% 2.90/2.97 ! [P,Q] :
% 2.90/2.97 ( is_bool(P)
% 2.90/2.97 => hAPP_f166538662l_bool(cOMBK_482404831l_bool(P),Q) = P ) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(P),Q),R) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f637090980l_bool(cOMBB_1585081418e_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f971112728l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f166538662l_bool(cOMBS_1358309691l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f2143399574l_bool(P,R),hAPP_f166538662l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___012,axiom,
% 2.90/2.97 ! [P,Q] : hAPP_f1387463497_state(cOMBK_701929478e_bool(P),Q) = P ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_013,axiom,
% 2.90/2.97 ! [P,Q] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(P),Q) = P ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___014,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(P),Q),R) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_015,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f2143399574l_bool(cOMBB_404111180l_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f166538662l_bool(Q,R)) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(P),Q),R) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(P),Q),R) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_016,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(P),Q),R) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(P),Q),R) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfe,axiom,
% 2.90/2.97 ! [P,Q,R] : hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(P),Q),R) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(P,R),Q) ).
% 2.90/2.97
% 2.90/2.97 %----Conjectures (8)
% 2.90/2.97 fof(conj_0,hypothesis,
% 2.90/2.97 hBOOL(hoare_165779456gleton) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_1,hypothesis,
% 2.90/2.97 hBOOL(wT_bodies) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_2,hypothesis,
% 2.90/2.97 hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_3,hypothesis,
% 2.90/2.97 ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_4,hypothesis,
% 2.90/2.97 hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_5,hypothesis,
% 2.90/2.97 hAPP_p799580910on_com(body,pn) = some_com(y) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_6,hypothesis,
% 2.90/2.97 hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)) ).
% 2.90/2.97
% 2.90/2.97 fof(conj_7,conjecture,
% 2.90/2.97 hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))) ).
% 2.90/2.97
% 2.90/2.97 %------------------------------------------------------------------------------
% 2.90/2.97 %-------------------------------------------
% 2.90/2.97 % Proof found
% 2.90/2.97 % SZS status Theorem for theBenchmark
% 2.90/2.97 % SZS output start Proof
% 2.90/2.97 %ClaNum:854(EqnAxiom:292)
% 2.90/2.97 %VarNum:2195(SingletonVarNum:1057)
% 2.90/2.97 %MaxLitNum:7
% 2.90/2.97 %MaxfuncDepth:7
% 2.90/2.97 %SharedTerms:142
% 2.90/2.97 %goalClause: 418
% 2.90/2.97 %singleGoalClaCount:1
% 2.90/2.97 [295]P1(a12)
% 2.90/2.97 [296]P2(a102)
% 2.90/2.97 [297]P2(a5)
% 2.90/2.97 [298]P3(a120)
% 2.90/2.97 [299]P3(a121)
% 2.90/2.97 [300]P3(a1)
% 2.90/2.97 [301]P3(a103)
% 2.90/2.97 [302]P5(a173)
% 2.90/2.97 [303]P4(a120)
% 2.90/2.97 [304]P4(a121)
% 2.90/2.97 [404]~P4(a1)
% 2.90/2.97 [293]E(f2(a1),a3)
% 2.90/2.97 [294]E(f11(a1),a4)
% 2.90/2.97 [308]P5(f207(a206))
% 2.90/2.97 [313]E(f122(a6,a173),f208(a213))
% 2.90/2.97 [319]P4(f139(a102,a12))
% 2.90/2.97 [320]P4(f163(a105,a3))
% 2.90/2.97 [321]P4(f163(a105,a106))
% 2.90/2.97 [322]P4(f141(a116,a5))
% 2.90/2.97 [323]P4(f142(a117,a4))
% 2.90/2.97 [324]P4(f144(a118,a7))
% 2.90/2.97 [325]P4(f150(a119,a10))
% 2.90/2.97 [305]E(f50(f47(a1)),a12)
% 2.90/2.97 [306]E(f51(f38(a1)),a5)
% 2.90/2.97 [307]E(f60(f43(a1)),a10)
% 2.90/2.97 [341]P4(f139(a102,f63(a6)))
% 2.90/2.97 [343]P1(f209(f124(a206,a8)))
% 2.90/2.97 [380]P2(f211(f124(f124(a206,a8),a8)))
% 2.90/2.97 [392]P4(f163(f158(a191,a106),f174(f22(a178,f21(a210,a6)),f63(a6))))
% 2.90/2.97 [415]~P4(f163(f131(a193,f136(a178,a213)),a106))
% 2.90/2.97 [389]P4(f163(f169(f174(f22(a178,a9),f63(a6))),a106))
% 2.90/2.97 [418]~P4(f163(f169(f174(f22(a178,a9),f63(a6))),f53(f25(a107,f123(f29(a110),f136(a178,a213))),f165(f30(a193),a3))))
% 2.90/2.97 [309]P1(f63(x3091))
% 2.90/2.97 [310]P2(f64(x3101))
% 2.90/2.97 [311]P3(f212(x3111))
% 2.90/2.97 [312]E(f174(x3121,a12),a3)
% 2.90/2.97 [342]P4(f163(f169(x3421),a3))
% 2.90/2.97 [344]P4(f139(f151(a190,a12),x3441))
% 2.90/2.97 [345]P4(f163(f158(a191,a3),x3451))
% 2.90/2.97 [346]P4(f141(f154(a204,a5),x3461))
% 2.90/2.97 [347]P4(f142(f157(a202,a4),x3471))
% 2.90/2.97 [348]P4(f139(f151(a190,x3481),x3481))
% 2.90/2.97 [349]P4(f163(f158(a191,x3491),x3491))
% 2.90/2.97 [406]~P4(f139(f167(a200,x4061),a12))
% 2.90/2.97 [408]~P4(f163(f131(a193,x4081),a3))
% 2.90/2.97 [410]~P4(f141(f156(a201,x4101),a5))
% 2.90/2.97 [412]~P4(f142(f147(a192,x4121),a4))
% 2.90/2.97 [381]E(f55(f18(a107,f158(f34(a109),x3811)),f137(f28(a192),a4)),f158(a109,x3811))
% 2.90/2.97 [382]E(f53(f25(a107,f123(f29(a110),x3821)),f165(f30(a193),a3)),f123(a110,x3821))
% 2.90/2.97 [383]E(f55(f18(a107,f158(f34(a109),x3831)),f137(f28(a192),a4)),f158(f34(a109),x3831))
% 2.90/2.97 [384]E(f53(f25(a107,f123(f29(a110),x3841)),f165(f30(a193),a3)),f123(f29(a110),x3841))
% 2.90/2.97 [385]E(f50(f52(f23(a107,f168(f26(a111),x3851)),f161(f27(a200),a12))),f50(f168(a111,x3851)))
% 2.90/2.97 [386]E(f51(f54(f17(a107,f151(f31(a112),x3861)),f155(f33(a201),a5))),f51(f151(a112,x3861)))
% 2.90/2.97 [387]E(f50(f52(f23(a107,f168(f26(a111),x3871)),f161(f27(a200),a12))),f50(f168(f26(a111),x3871)))
% 2.90/2.97 [388]E(f51(f54(f17(a107,f151(f31(a112),x3881)),f155(f33(a201),a5))),f51(f151(f31(a112),x3881)))
% 2.90/2.97 [326]P1(f185(x3261,x3262))
% 2.90/2.97 [327]P1(f175(x3271,x3272))
% 2.90/2.97 [328]P1(f176(x3281,x3282))
% 2.90/2.97 [329]P1(f177(x3291,x3292))
% 2.90/2.97 [330]P1(f128(x3301,x3302))
% 2.90/2.97 [331]P2(f186(x3311,x3312))
% 2.90/2.97 [332]P3(f132(x3321,x3322))
% 2.90/2.97 [333]P3(f163(x3331,x3332))
% 2.90/2.97 [334]P3(f142(x3341,x3342))
% 2.90/2.97 [335]P3(f144(x3351,x3352))
% 2.90/2.97 [336]P3(f150(x3361,x3362))
% 2.90/2.97 [337]P3(f152(x3371,x3372))
% 2.90/2.97 [338]P3(f133(x3381,x3382))
% 2.90/2.97 [339]P5(f129(x3391,x3392))
% 2.90/2.97 [340]P5(f153(x3401,x3402))
% 2.90/2.97 [314]E(f123(f13(x3141),x3142),x3141)
% 2.90/2.97 [315]E(f125(f39(x3151),x3152),x3151)
% 2.90/2.97 [316]E(f126(f40(x3161),x3162),x3161)
% 2.90/2.97 [317]E(f127(f48(x3171),x3172),x3171)
% 2.90/2.97 [318]E(f162(f44(x3181),x3182),x3181)
% 2.90/2.97 [414]~E(f53(f25(a107,f123(f29(a110),x4141)),f165(f30(a193),x4142)),a3)
% 2.90/2.97 [393]P4(f163(f158(a191,x3931),f53(f25(a107,f123(f29(a110),x3932)),f165(f30(a193),x3931))))
% 2.90/2.97 [394]P4(f163(f131(a193,x3941),f53(f25(a107,f123(f29(a110),x3941)),f165(f30(a193),x3942))))
% 2.90/2.97 [417]~E(f50(f52(f23(a107,f168(f26(a111),x4171)),f161(f27(a200),x4172))),a12)
% 2.90/2.97 [390]E(f53(f25(a107,f123(f29(a110),x3901)),f165(f30(a193),x3902)),f53(f25(a113,f15(a104,f123(f29(a110),x3901))),x3902))
% 2.90/2.97 [391]E(f55(f18(a107,f158(f34(a109),x3911)),f137(f28(a192),x3912)),f55(f18(a113,f16(a104,f158(f34(a109),x3911))),x3912))
% 2.90/2.97 [397]E(f53(f25(a107,f123(f29(a110),x3971)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x3971)),f165(f30(a193),x3972)))),f53(f25(a107,f123(f29(a110),x3971)),f165(f30(a193),x3972)))
% 2.90/2.97 [399]P4(f139(f167(a200,x3991),f50(f52(f23(a107,f168(f26(a111),x3991)),f161(f27(a200),x3992)))))
% 2.90/2.97 [400]P4(f139(f151(a190,x4001),f50(f52(f23(a107,f168(f26(a111),x4002)),f161(f27(a200),x4001)))))
% 2.90/2.97 [395]E(f50(f52(f23(a107,f168(f26(a111),x3951)),f161(f27(a200),f50(x3952)))),f50(f52(f23(a113,f14(a104,f168(f26(a111),x3951))),x3952)))
% 2.90/2.97 [396]E(f51(f54(f17(a107,f151(f31(a112),x3961)),f155(f33(a201),f51(x3962)))),f51(f54(f17(a113,f19(a104,f151(f31(a112),x3961))),x3962)))
% 2.90/2.97 [402]E(f50(f52(f23(a107,f168(f26(a111),x4021)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x4021)),f161(f27(a200),x4022)))))),f50(f52(f23(a107,f168(f26(a111),x4021)),f161(f27(a200),x4022))))
% 2.90/2.97 [350]E(f134(x3501,f170(x3502,x3503)),f170(f14(x3501,x3502),x3503))
% 2.90/2.97 [351]E(f134(x3511,f132(x3512,x3513)),f132(f15(x3511,x3512),x3513))
% 2.90/2.97 [352]E(f134(x3521,f139(x3522,x3523)),f139(f19(x3521,x3522),x3523))
% 2.90/2.97 [353]E(f134(x3531,f163(x3532,x3533)),f163(f16(x3531,x3532),x3533))
% 2.90/2.97 [354]E(f164(x3541,f122(x3542,x3543)),f171(f21(x3541,x3542),x3543))
% 2.90/2.97 [355]E(f136(x3551,f171(x3552,x3553)),f162(f22(x3551,x3552),x3553))
% 2.90/2.97 [356]E(f135(x3561,f170(x3562,x3563)),f166(f23(x3561,x3562),x3563))
% 2.90/2.97 [357]E(f140(f17(x3571,x3572),x3573),f135(x3571,f139(x3572,x3573)))
% 2.90/2.97 [358]E(f130(f25(x3581,x3582),x3583),f135(x3581,f132(x3582,x3583)))
% 2.90/2.97 [359]E(f145(f24(x3591,x3592),x3593),f135(x3591,f141(x3592,x3593)))
% 2.90/2.97 [360]E(f159(f18(x3601,x3602),x3603),f135(x3601,f163(x3602,x3603)))
% 2.90/2.97 [361]E(f146(f20(x3611,x3612),x3613),f135(x3611,f142(x3612,x3613)))
% 2.90/2.97 [374]E(f134(f166(x3741,x3742),f170(x3743,x3742)),f170(f52(x3741,x3743),x3742))
% 2.90/2.97 [375]E(f134(f130(x3751,x3752),f132(x3753,x3752)),f132(f53(x3751,x3753),x3752))
% 2.90/2.97 [376]E(f134(f140(x3761,x3762),f139(x3763,x3762)),f139(f54(x3761,x3763),x3762))
% 2.90/2.97 [377]E(f134(f159(x3771,x3772),f163(x3773,x3772)),f163(f55(x3771,x3773),x3772))
% 2.90/2.97 [378]E(f134(f145(x3781,x3782),f141(x3783,x3782)),f141(f58(x3781,x3783),x3782))
% 2.90/2.97 [379]E(f134(f146(x3791,x3792),f142(x3793,x3792)),f142(f56(x3791,x3793),x3792))
% 2.90/2.97 [362]E(f170(f168(f26(x3621),x3622),x3623),f170(f168(x3621,x3623),x3622))
% 2.90/2.97 [363]E(f170(f161(f27(x3631),x3632),x3633),f139(f167(x3631,x3633),x3632))
% 2.90/2.97 [364]E(f132(f123(f29(x3641),x3642),x3643),f132(f123(x3641,x3643),x3642))
% 2.90/2.97 [365]E(f132(f165(f30(x3651),x3652),x3653),f163(f131(x3651,x3653),x3652))
% 2.90/2.97 [366]E(f139(f151(f31(x3661),x3662),x3663),f139(f151(x3661,x3663),x3662))
% 2.90/2.97 [367]E(f139(f155(f33(x3671),x3672),x3673),f141(f156(x3671,x3673),x3672))
% 2.90/2.97 [368]E(f163(f158(f34(x3681),x3682),x3683),f163(f158(x3681,x3683),x3682))
% 2.90/2.97 [369]E(f163(f137(f28(x3691),x3692),x3693),f142(f147(x3691,x3693),x3692))
% 2.90/2.97 [370]E(f141(f154(f36(x3701),x3702),x3703),f141(f154(x3701,x3703),x3702))
% 2.90/2.97 [371]E(f142(f157(f32(x3711),x3712),x3713),f142(f157(x3711,x3713),x3712))
% 2.90/2.97 [372]E(f144(f143(f35(x3721),x3722),x3723),f144(f143(x3721,x3723),x3722))
% 2.90/2.97 [373]E(f150(f160(f37(x3731),x3732),x3733),f150(f160(x3731,x3733),x3732))
% 2.90/2.97 [398]E(f53(f25(a107,f123(f29(a110),f162(x3981,x3982))),f165(f30(a193),f174(x3981,x3983))),f174(x3981,f50(f52(f23(a107,f168(f26(a111),x3982)),f161(f27(a200),x3983)))))
% 2.90/2.97 [401]E(f53(f25(a107,f123(f29(a110),x4011)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x4012)),f165(f30(a193),x4013)))),f53(f25(a107,f123(f29(a110),x4012)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x4011)),f165(f30(a193),x4013)))))
% 2.90/2.97 [403]E(f50(f52(f23(a107,f168(f26(a111),x4031)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x4032)),f161(f27(a200),x4033)))))),f50(f52(f23(a107,f168(f26(a111),x4032)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x4031)),f161(f27(a200),x4033)))))))
% 2.90/2.97 [420]~P1(x4201)+E(f50(x4201),x4201)
% 2.90/2.97 [421]~P2(x4211)+E(f51(x4211),x4211)
% 2.90/2.97 [422]P5(f66(x4221))+E(f50(x4221),a12)
% 2.90/2.97 [423]P1(f67(x4231))+E(f51(x4231),a5)
% 2.90/2.97 [424]P2(f69(x4241))+E(f59(x4241),a7)
% 2.90/2.97 [425]P5(f70(x4251))+E(f50(x4251),a12)
% 2.90/2.97 [426]P1(f71(x4261))+E(f51(x4261),a5)
% 2.90/2.97 [427]P2(f72(x4271))+E(f59(x4271),a7)
% 2.90/2.97 [428]~P3(x4281)+P1(f47(x4281))
% 2.90/2.97 [429]~P1(x4291)+P1(f50(x4291))
% 2.90/2.97 [430]~P3(x4301)+P2(f38(x4301))
% 2.90/2.97 [431]~P2(x4311)+P2(f51(x4311))
% 2.90/2.97 [462]P4(x4621)+P4(f134(a104,x4621))
% 2.90/2.97 [498]~P4(x4981)+~P4(f134(a104,x4981))
% 2.90/2.97 [480]E(x4801,a3)+P4(f132(x4801,f99(x4801)))
% 2.90/2.97 [481]E(x4811,a4)+P4(f163(x4811,f81(x4811)))
% 2.90/2.97 [482]E(a3,x4821)+P4(f132(x4821,f68(x4821)))
% 2.90/2.97 [483]E(a4,x4831)+P4(f163(x4831,f100(x4831)))
% 2.90/2.97 [486]E(f50(x4861),a12)+P4(f170(x4861,f66(x4861)))
% 2.90/2.97 [487]E(f51(x4871),a5)+P4(f139(x4871,f67(x4871)))
% 2.90/2.97 [488]E(f59(x4881),a7)+P4(f141(x4881,f69(x4881)))
% 2.90/2.97 [489]E(f60(x4891),a10)+P4(f142(x4891,f101(x4891)))
% 2.90/2.97 [490]E(f50(x4901),a12)+P4(f170(x4901,f70(x4901)))
% 2.90/2.97 [491]E(f51(x4911),a5)+P4(f139(x4911,f71(x4911)))
% 2.90/2.97 [492]E(f60(x4921),a10)+P4(f142(x4921,f82(x4921)))
% 2.90/2.97 [493]E(f59(x4931),a7)+P4(f141(x4931,f72(x4931)))
% 2.90/2.97 [540]E(f208(f93(x5401)),f122(a6,x5401))+~P4(f212(f171(a9,x5401)))
% 2.90/2.97 [543]E(x5431,a3)+~P4(f163(f158(a191,x5431),a3))
% 2.90/2.97 [531]E(x5311,a3)+P4(f163(f131(a193,f75(x5311)),x5311))
% 2.90/2.97 [532]E(x5321,a3)+P4(f163(f131(a193,f78(x5321)),x5321))
% 2.90/2.97 [533]E(x5331,a4)+P4(f142(f147(a192,f76(x5331)),x5331))
% 2.90/2.97 [534]E(x5341,a4)+P4(f142(f147(a192,f79(x5341)),x5341))
% 2.90/2.97 [585]~P4(f163(a105,x5851))+P4(f142(a117,f158(f34(a191),x5851)))
% 2.90/2.97 [612]~P4(f139(a102,x6121))+P4(f141(a116,f51(f151(f31(a190),x6121))))
% 2.90/2.97 [613]~P4(f141(a116,x6131))+P4(f144(a118,f59(f154(f36(a204),x6131))))
% 2.90/2.97 [614]~P4(f142(a117,x6141))+P4(f150(a119,f60(f157(f32(a202),x6141))))
% 2.90/2.97 [615]~P4(f144(a118,x6151))+P4(f152(a114,f62(f143(f35(a203),x6151))))
% 2.90/2.97 [616]~P4(f150(a119,x6161))+P4(f133(a115,f61(f160(f37(a205),x6161))))
% 2.90/2.97 [463]~P1(x4632)+P1(f14(x4631,x4632))
% 2.90/2.97 [464]~P1(x4642)+P1(f52(x4641,x4642))
% 2.90/2.97 [465]~P1(x4652)+P1(f194(x4651,x4652))
% 2.90/2.97 [466]~P2(x4662)+P1(f179(x4661,x4662))
% 2.90/2.97 [467]~P5(x4672)+P1(f168(x4671,x4672))
% 2.90/2.97 [468]~P1(x4682)+P1(f161(x4681,x4682))
% 2.90/2.97 [469]~P2(x4692)+P2(f19(x4691,x4692))
% 2.90/2.97 [470]~P2(x4702)+P2(f54(x4701,x4702))
% 2.90/2.97 [471]~P1(x4712)+P2(f187(x4711,x4712))
% 2.90/2.97 [472]~P5(x4722)+P2(f167(x4721,x4722))
% 2.90/2.97 [473]~P1(x4732)+P2(f151(x4731,x4732))
% 2.90/2.97 [474]~P2(x4742)+P2(f155(x4741,x4742))
% 2.90/2.97 [475]~P3(x4752)+P3(f134(x4751,x4752))
% 2.90/2.97 [476]~P2(x4762)+P3(f141(x4761,x4762))
% 2.90/2.97 [477]~P5(x4772)+P5(f172(x4771,x4772))
% 2.90/2.97 [478]~P1(x4782)+P5(f138(x4781,x4782))
% 2.90/2.97 [494]~E(x4941,a3)+~P4(f132(x4941,x4942))
% 2.90/2.97 [495]~E(x4951,a4)+~P4(f163(x4951,x4952))
% 2.90/2.97 [496]~E(a3,x4961)+~P4(f132(x4961,x4962))
% 2.90/2.97 [497]~E(a4,x4971)+~P4(f163(x4971,x4972))
% 2.90/2.97 [500]~E(f60(x5001),a10)+~P4(f142(x5001,x5002))
% 2.90/2.97 [436]~E(x4362,a3)+E(f185(f41(x4361),x4362),a12)
% 2.90/2.97 [437]~E(x4372,a3)+E(f186(f45(x4371),x4372),a5)
% 2.90/2.97 [438]~E(x4382,a4)+E(f175(f42(x4381),x4382),a12)
% 2.90/2.97 [439]~E(x4392,a4)+E(f184(f48(x4391),x4392),a3)
% 2.90/2.97 [440]~E(x4402,a3)+E(f182(f13(x4401),x4402),a4)
% 2.90/2.97 [443]~P5(x4431)+E(f172(f57(x4431),x4432),x4431)
% 2.90/2.97 [444]~P3(x4441)+E(f170(f47(x4441),x4442),x4441)
% 2.90/2.97 [445]~P1(x4451)+E(f168(f46(x4451),x4452),x4451)
% 2.90/2.97 [446]~P5(x4461)+E(f129(f41(x4461),x4462),x4461)
% 2.90/2.97 [447]~P3(x4471)+E(f132(f2(x4471),x4472),x4471)
% 2.90/2.97 [448]~P1(x4481)+E(f128(f45(x4481),x4482),x4481)
% 2.90/2.97 [449]~P5(x4491)+E(f138(f49(x4491),x4492),x4491)
% 2.90/2.97 [450]~P3(x4501)+E(f139(f38(x4501),x4502),x4501)
% 2.90/2.97 [451]~P5(x4511)+E(f153(f42(x4511),x4512),x4511)
% 2.90/2.97 [452]~P3(x4521)+E(f163(f11(x4521),x4522),x4521)
% 2.90/2.97 [453]~P3(x4531)+E(f142(f43(x4531),x4532),x4531)
% 2.90/2.97 [509]~E(x5091,x5092)+P4(f170(f168(a111,x5091),x5092))
% 2.90/2.97 [510]~E(x5101,x5102)+P4(f132(f123(a110,x5101),x5102))
% 2.90/2.97 [511]~E(x5112,x5111)+P4(f139(f151(a190,x5111),x5112))
% 2.90/2.97 [514]~E(x5141,x5142)+P4(f139(f151(a190,x5141),x5142))
% 2.90/2.97 [515]~E(x5151,x5152)+P4(f139(f151(a112,x5151),x5152))
% 2.90/2.97 [516]~E(x5162,x5161)+P4(f163(f158(a191,x5161),x5162))
% 2.90/2.97 [521]~E(x5211,x5212)+P4(f163(f158(a191,x5211),x5212))
% 2.90/2.97 [522]~E(x5221,x5222)+P4(f163(f158(a109,x5221),x5222))
% 2.90/2.97 [523]P4(x5231)+P4(f134(f135(a113,x5231),x5232))
% 2.90/2.97 [525]~P4(x5252)+P4(f134(f135(a113,x5251),x5252))
% 2.90/2.97 [526]~P4(x5262)+P4(f134(f135(a107,x5261),x5262))
% 2.90/2.97 [527]~P4(x5271)+P4(f134(f135(a107,x5271),x5272))
% 2.90/2.97 [535]P5(f92(x5351,x5352))+P4(f139(f151(a190,x5352),x5351))
% 2.90/2.97 [545]E(x5451,x5452)+~P4(f132(f123(a110,x5451),x5452))
% 2.90/2.97 [546]E(x5461,x5462)+~P4(f163(f158(a109,x5461),x5462))
% 2.90/2.97 [549]~E(x5491,a12)+~P4(f139(f167(a200,x5492),x5491))
% 2.90/2.97 [550]~E(x5501,a5)+~P4(f141(f156(a201,x5502),x5501))
% 2.90/2.97 [552]~E(x5521,a3)+~P4(f163(f131(a193,x5522),x5521))
% 2.90/2.97 [554]~E(x5541,a4)+~P4(f142(f147(a192,x5542),x5541))
% 2.90/2.97 [555]~P4(f139(a102,x5552))+P4(f139(a102,f194(x5551,x5552)))
% 2.90/2.97 [556]~P4(f163(a105,x5562))+P4(f139(a102,f185(x5561,x5562)))
% 2.90/2.97 [557]~P4(f141(a116,x5572))+P4(f139(a102,f179(x5571,x5572)))
% 2.90/2.97 [558]~P4(f142(a117,x5582))+P4(f139(a102,f175(x5581,x5582)))
% 2.90/2.97 [559]~P4(f144(a118,x5592))+P4(f139(a102,f176(x5591,x5592)))
% 2.90/2.97 [560]~P4(f150(a119,x5602))+P4(f139(a102,f177(x5601,x5602)))
% 2.90/2.97 [561]~P4(f139(a102,x5612))+P4(f163(a105,f174(x5611,x5612)))
% 2.90/2.97 [562]~P4(f144(a118,x5622))+P4(f163(a105,f196(x5621,x5622)))
% 2.90/2.97 [563]~P4(f150(a119,x5632))+P4(f163(a105,f197(x5631,x5632)))
% 2.90/2.97 [564]~P4(f142(a117,x5642))+P4(f163(a105,f184(x5641,x5642)))
% 2.90/2.97 [565]~P4(f141(a116,x5652))+P4(f163(a105,f189(x5651,x5652)))
% 2.90/2.97 [566]~P4(f139(a102,x5662))+P4(f141(a116,f187(x5661,x5662)))
% 2.90/2.97 [567]~P4(f163(a105,x5672))+P4(f141(a116,f186(x5671,x5672)))
% 2.90/2.97 [568]~P4(f139(a102,x5682))+P4(f142(a117,f195(x5681,x5682)))
% 2.90/2.97 [569]~P4(f163(a105,x5692))+P4(f142(a117,f182(x5691,x5692)))
% 2.90/2.97 [570]~P4(f139(a102,x5702))+P4(f144(a118,f181(x5701,x5702)))
% 2.90/2.97 [571]~P4(f163(a105,x5712))+P4(f144(a118,f180(x5711,x5712)))
% 2.90/2.97 [572]~P4(f144(a118,x5722))+P4(f144(a118,f198(x5721,x5722)))
% 2.90/2.97 [573]~P4(f139(a102,x5732))+P4(f150(a119,f188(x5731,x5732)))
% 2.90/2.97 [574]~P4(f163(a105,x5742))+P4(f150(a119,f183(x5741,x5742)))
% 2.90/2.97 [575]~P4(f150(a119,x5752))+P4(f150(a119,f199(x5751,x5752)))
% 2.90/2.97 [577]~P4(f170(x5772,x5771))+P4(f139(f167(a200,x5771),x5772))
% 2.90/2.97 [578]~P4(f132(x5782,x5781))+P4(f163(f131(a193,x5781),x5782))
% 2.90/2.97 [579]P4(x5791)+~P4(f134(f135(a108,x5792),x5791))
% 2.90/2.97 [580]P4(x5801)+~P4(f134(f135(a108,x5801),x5802))
% 2.90/2.97 [592]P4(f170(x5921,x5922))+~P4(f139(f167(a200,x5922),x5921))
% 2.90/2.97 [593]P4(f132(x5931,x5932))+~P4(f163(f131(a193,x5932),x5931))
% 2.90/2.97 [599]P4(f163(f169(x5991),x5992))+~P4(f163(f158(a191,x5992),x5991))
% 2.90/2.97 [541]P4(f132(x5412,x5411))+E(f53(f25(a108,f123(a110,x5411)),x5412),a3)
% 2.90/2.97 [542]P4(f163(x5422,x5421))+E(f55(f18(a108,f158(a109,x5421)),x5422),a4)
% 2.90/2.97 [594]E(x5941,a3)+E(f182(f13(x5942),x5941),f55(f18(a107,f158(f34(a109),x5942)),f137(f28(a192),a4)))
% 2.90/2.97 [595]E(x5951,a4)+E(f184(f48(x5952),x5951),f53(f25(a107,f123(f29(a110),x5952)),f165(f30(a193),a3)))
% 2.90/2.97 [617]~P4(f163(a105,x6172))+P4(f163(a105,f53(f25(a108,x6171),x6172)))
% 2.90/2.97 [618]~P4(f163(a105,x6181))+P4(f163(a105,f53(f25(a108,x6181),x6182)))
% 2.90/2.97 [619]~P4(f142(a117,x6192))+P4(f142(a117,f55(f18(a108,x6191),x6192)))
% 2.90/2.97 [620]~P4(f142(a117,x6201))+P4(f142(a117,f55(f18(a108,x6201),x6202)))
% 2.90/2.97 [628]E(f53(f25(a107,f123(f29(a110),x6281)),f165(f30(a193),x6282)),x6282)+~P4(f163(f131(a193,x6281),x6282))
% 2.90/2.97 [629]P4(f139(f151(a190,x6291),x6292))+P4(f139(f167(a200,f92(x6292,x6291)),x6291))
% 2.90/2.97 [630]P4(f163(f158(a191,x6301),x6302))+P4(f163(f131(a193,f97(x6302,x6301)),x6301))
% 2.90/2.97 [636]~P4(f132(x6362,x6361))+E(f53(f25(a108,f123(a110,x6361)),x6362),f53(f25(a107,f123(f29(a110),x6361)),f165(f30(a193),a3)))
% 2.90/2.97 [637]~P4(f163(x6372,x6371))+E(f55(f18(a108,f158(a109,x6371)),x6372),f55(f18(a107,f158(f34(a109),x6371)),f137(f28(a192),a4)))
% 2.90/2.97 [684]P4(f163(a105,x6841))+~P4(f163(a105,f53(f25(a107,x6842),x6841)))
% 2.90/2.97 [685]P4(f163(a105,x6851))+~P4(f163(a105,f53(f25(a107,x6851),x6852)))
% 2.90/2.97 [686]P4(f142(a117,x6861))+~P4(f142(a117,f55(f18(a107,x6862),x6861)))
% 2.90/2.97 [687]P4(f142(a117,x6871))+~P4(f142(a117,f55(f18(a107,x6871),x6872)))
% 2.90/2.97 [715]P4(f139(f151(a190,x7151),x7152))+~P4(f139(f167(a200,f92(x7152,x7151)),x7152))
% 2.90/2.97 [716]P4(f163(f158(a191,x7161),x7162))+~P4(f163(f131(a193,f97(x7162,x7161)),x7162))
% 2.90/2.97 [733]E(x7331,x7332)+~E(f53(f25(a107,f123(f29(a110),x7331)),f165(f30(a193),a3)),f53(f25(a107,f123(f29(a110),x7332)),f165(f30(a193),a3)))
% 2.90/2.97 [583]P4(f132(x5832,x5831))+E(f53(f25(a108,f123(f29(a110),x5831)),x5832),a3)
% 2.90/2.97 [584]P4(f163(x5842,x5841))+E(f55(f18(a108,f158(f34(a109),x5841)),x5842),a4)
% 2.90/2.97 [610]P4(f170(x6102,x6101))+E(f50(f52(f23(a108,f168(a111,x6101)),x6102)),a12)
% 2.90/2.97 [611]P4(f139(x6112,x6111))+E(f51(f54(f17(a108,f151(a112,x6111)),x6112)),a5)
% 2.90/2.97 [674]~P4(f132(x6742,x6741))+E(f53(f25(a108,f123(f29(a110),x6741)),x6742),f53(f25(a107,f123(f29(a110),x6741)),f165(f30(a193),a3)))
% 2.90/2.97 [675]~P4(f163(x6752,x6751))+E(f55(f18(a108,f158(f34(a109),x6751)),x6752),f55(f18(a107,f158(f34(a109),x6751)),f137(f28(a192),a4)))
% 2.90/2.97 [678]E(x6781,a3)+E(f185(f41(x6782),x6781),f50(f52(f23(a107,f168(f26(a111),x6782)),f161(f27(a200),a12))))
% 2.90/2.97 [679]E(x6791,a3)+E(f186(f45(x6792),x6791),f51(f54(f17(a107,f151(f31(a112),x6792)),f155(f33(a201),a5))))
% 2.90/2.97 [680]E(x6801,a4)+E(f175(f42(x6802),x6801),f50(f52(f23(a107,f168(f26(a111),x6802)),f161(f27(a200),a12))))
% 2.90/2.97 [718]~P4(f139(a102,f50(x7182)))+P4(f139(a102,f50(f52(f23(a108,x7181),x7182))))
% 2.90/2.97 [719]~P4(f139(a102,f50(x7191)))+P4(f139(a102,f50(f52(f23(a108,x7191),x7192))))
% 2.90/2.97 [720]~P4(f141(a116,f51(x7202)))+P4(f141(a116,f51(f54(f17(a108,x7201),x7202))))
% 2.90/2.97 [721]~P4(f141(a116,f51(x7211)))+P4(f141(a116,f51(f54(f17(a108,x7211),x7212))))
% 2.90/2.97 [722]~P4(f144(a118,f59(x7222)))+P4(f144(a118,f59(f58(f24(a108,x7221),x7222))))
% 2.90/2.97 [723]~P4(f144(a118,f59(x7231)))+P4(f144(a118,f59(f58(f24(a108,x7231),x7232))))
% 2.90/2.97 [724]~P4(f150(a119,f60(x7242)))+P4(f150(a119,f60(f56(f20(a108,x7241),x7242))))
% 2.90/2.97 [725]~P4(f150(a119,f60(x7251)))+P4(f150(a119,f60(f56(f20(a108,x7251),x7252))))
% 2.90/2.98 [737]~P4(f170(x7372,x7371))+E(f50(f52(f23(a108,f168(a111,x7371)),x7372)),f50(f52(f23(a107,f168(f26(a111),x7371)),f161(f27(a200),a12))))
% 2.90/2.98 [738]~P4(f139(x7382,x7381))+E(f51(f54(f17(a108,f151(a112,x7381)),x7382)),f51(f54(f17(a107,f151(f31(a112),x7381)),f155(f33(a201),a5))))
% 2.90/2.98 [750]P4(f139(a102,f50(x7501)))+~P4(f139(a102,f50(f52(f23(a107,x7502),x7501))))
% 2.90/2.98 [751]P4(f139(a102,f50(x7511)))+~P4(f139(a102,f50(f52(f23(a107,x7511),x7512))))
% 2.90/2.98 [752]P4(f141(a116,f51(x7521)))+~P4(f141(a116,f51(f54(f17(a107,x7522),x7521))))
% 2.90/2.98 [753]P4(f141(a116,f51(x7531)))+~P4(f141(a116,f51(f54(f17(a107,x7531),x7532))))
% 2.90/2.98 [760]~P4(f163(a105,x7602))+P4(f163(a105,f53(f25(a107,f123(f29(a110),x7601)),f165(f30(a193),x7602))))
% 2.90/2.98 [762]~P4(f142(a117,x7622))+P4(f142(a117,f55(f18(a107,f158(f34(a109),x7621)),f137(f28(a192),x7622))))
% 2.90/2.98 [782]P4(f163(a105,x7821))+~P4(f163(a105,f53(f25(a107,f123(f29(a110),x7822)),f165(f30(a193),x7821))))
% 2.90/2.98 [783]P4(f142(a117,x7831))+~P4(f142(a117,f55(f18(a107,f158(f34(a109),x7832)),f137(f28(a192),x7831))))
% 2.90/2.98 [786]E(x7861,x7862)+~P4(f163(f131(a193,x7861),f53(f25(a107,f123(f29(a110),x7862)),f165(f30(a193),a3))))
% 2.90/2.98 [854]P4(f163(f169(x8541),f53(f25(a107,f123(f29(a110),f136(a178,f171(a9,x8542)))),f165(f30(a193),a3))))+~P4(f163(f169(f53(f25(a107,f123(f29(a110),f136(a178,f171(a9,x8542)))),f165(f30(a193),x8541))),f53(f25(a107,f123(f29(a110),f136(a178,f164(a210,f122(a6,x8542))))),f165(f30(a193),a3))))
% 2.90/2.98 [623]P4(f170(x6232,x6231))+E(f50(f52(f23(a108,f168(f26(a111),x6231)),x6232)),a12)
% 2.90/2.98 [624]P4(f139(x6242,x6241))+E(f51(f54(f17(a108,f151(f31(a112),x6241)),x6242)),a5)
% 2.90/2.98 [748]~P4(f170(x7482,x7481))+E(f50(f52(f23(a108,f168(f26(a111),x7481)),x7482)),f50(f52(f23(a107,f168(f26(a111),x7481)),f161(f27(a200),a12))))
% 2.90/2.98 [749]~P4(f139(x7492,x7491))+E(f51(f54(f17(a108,f151(f31(a112),x7491)),x7492)),f51(f54(f17(a107,f151(f31(a112),x7491)),f155(f33(a201),a5))))
% 2.90/2.98 [801]~P4(f139(a102,x8012))+P4(f139(a102,f50(f52(f23(a107,f168(f26(a111),x8011)),f161(f27(a200),x8012)))))
% 2.90/2.98 [803]~P4(f141(a116,x8032))+P4(f141(a116,f51(f54(f17(a107,f151(f31(a112),x8031)),f155(f33(a201),x8032)))))
% 2.90/2.98 [822]P4(f139(a102,x8221))+~P4(f139(a102,f50(f52(f23(a107,f168(f26(a111),x8222)),f161(f27(a200),x8221)))))
% 2.90/2.98 [823]P4(f141(a116,x8231))+~P4(f141(a116,f51(f54(f17(a107,f151(f31(a112),x8232)),f155(f33(a201),x8231)))))
% 2.90/2.98 [544]~E(f122(x5442,x5441),f208(x5443))+P4(f139(f167(a200,x5441),f63(x5442)))
% 2.90/2.98 [688]P1(f83(x6881,x6882,x6883))+~P4(f163(f158(a191,x6881),f174(x6882,x6883)))
% 2.90/2.98 [689]P5(f84(x6891,x6892,x6893))+~P4(f163(f131(a193,x6891),f174(x6892,x6893)))
% 2.90/2.98 [690]P5(f85(x6901,x6902,x6903))+~P4(f163(f131(a193,x6901),f174(x6902,x6903)))
% 2.90/2.98 [703]E(f174(x7031,f83(x7032,x7031,x7033)),x7032)+~P4(f163(f158(a191,x7032),f174(x7031,x7033)))
% 2.90/2.98 [704]E(f162(x7041,f84(x7042,x7041,x7043)),x7042)+~P4(f163(f131(a193,x7042),f174(x7041,x7043)))
% 2.90/2.98 [705]E(f162(x7051,f85(x7052,x7051,x7053)),x7052)+~P4(f163(f131(a193,x7052),f174(x7051,x7053)))
% 2.90/2.98 [712]~P4(f139(f151(a190,x7122),x7123))+P4(f163(f158(a191,f174(x7121,x7122)),f174(x7121,x7123)))
% 2.90/2.98 [713]~P4(f139(f167(a200,x7132),x7133))+P4(f163(f131(a193,f162(x7131,x7132)),f174(x7131,x7133)))
% 2.90/2.98 [601]~E(f148(x6012,x6011),f208(x6013))+E(f55(f18(a107,f158(f34(a109),x6011)),f137(f28(a192),f65(x6012))),f65(x6012))
% 2.90/2.98 [638]E(f174(f44(x6381),x6382),f53(f25(a107,f123(f29(a110),x6381)),f165(f30(a193),a3)))+~P4(f139(f167(a200,x6383),x6382))
% 2.90/2.98 [639]E(f184(f48(x6391),x6392),f53(f25(a107,f123(f29(a110),x6391)),f165(f30(a193),a3)))+~P4(f142(f147(a192,x6393),x6392))
% 2.90/2.98 [640]E(f189(f40(x6401),x6402),f53(f25(a107,f123(f29(a110),x6401)),f165(f30(a193),a3)))+~P4(f141(f156(a201,x6403),x6402))
% 2.90/2.98 [641]E(f195(f39(x6411),x6412),f55(f18(a107,f158(f34(a109),x6411)),f137(f28(a192),a4)))+~P4(f139(f167(a200,x6413),x6412))
% 2.90/2.98 [642]E(f182(f13(x6421),x6422),f55(f18(a107,f158(f34(a109),x6421)),f137(f28(a192),a4)))+~P4(f163(f131(a193,x6423),x6422))
% 2.90/2.98 [734]E(f53(f25(a107,f123(f29(a110),f162(x7341,x7342))),f165(f30(a193),f174(x7341,x7343))),f174(x7341,x7343))+~P4(f139(f167(a200,x7342),x7343))
% 2.90/2.98 [767]~P4(f163(f131(a193,x7671),f174(x7672,x7673)))+P4(f139(f167(a200,f84(x7671,x7672,x7673)),x7673))
% 2.90/2.98 [768]~P4(f163(f131(a193,x7681),f174(x7682,x7683)))+P4(f139(f167(a200,f85(x7681,x7682,x7683)),x7683))
% 2.90/2.98 [769]~P4(f163(f158(a191,x7691),f174(x7692,x7693)))+P4(f139(f151(a190,f83(x7691,x7692,x7693)),x7693))
% 2.90/2.98 [706]~E(f122(x7062,x7061),f208(x7063))+E(f50(f52(f23(a107,f168(f26(a111),x7061)),f161(f27(a200),f63(x7062)))),f63(x7062))
% 2.90/2.98 [707]~E(f149(x7072,x7071),f208(x7073))+E(f51(f54(f17(a107,f151(f31(a112),x7071)),f155(f33(a201),f64(x7072)))),f64(x7072))
% 2.90/2.98 [727]E(f194(f57(x7271),x7272),f50(f52(f23(a107,f168(f26(a111),x7271)),f161(f27(a200),a12))))+~P4(f139(f167(a200,x7273),x7272))
% 2.90/2.98 [728]E(f187(f46(x7281),x7282),f51(f54(f17(a107,f151(f31(a112),x7281)),f155(f33(a201),a5))))+~P4(f139(f167(a200,x7283),x7282))
% 2.90/2.98 [729]E(f185(f41(x7291),x7292),f50(f52(f23(a107,f168(f26(a111),x7291)),f161(f27(a200),a12))))+~P4(f163(f131(a193,x7293),x7292))
% 2.90/2.98 [730]E(f186(f45(x7301),x7302),f51(f54(f17(a107,f151(f31(a112),x7301)),f155(f33(a201),a5))))+~P4(f163(f131(a193,x7303),x7302))
% 2.90/2.98 [731]E(f179(f49(x7311),x7312),f50(f52(f23(a107,f168(f26(a111),x7311)),f161(f27(a200),a12))))+~P4(f141(f156(a201,x7313),x7312))
% 2.90/2.98 [732]E(f175(f42(x7321),x7322),f50(f52(f23(a107,f168(f26(a111),x7321)),f161(f27(a200),a12))))+~P4(f142(f147(a192,x7323),x7322))
% 2.90/2.98 [756]~E(x7561,x7563)+P4(f132(f53(f25(a107,f123(f29(a110),x7561)),f165(f30(a193),x7562)),x7563))
% 2.90/2.98 [763]~P4(f132(x7632,x7633))+P4(f132(f53(f25(a107,f123(f29(a110),x7631)),f165(f30(a193),x7632)),x7633))
% 2.90/2.98 [765]~E(x7651,x7652)+P4(f163(f131(a193,x7651),f53(f25(a107,f123(f29(a110),x7652)),f165(f30(a193),x7653))))
% 2.90/2.98 [766]~E(x7661,x7662)+P4(f142(f147(a192,x7661),f55(f18(a107,f158(f34(a109),x7662)),f137(f28(a192),x7663))))
% 2.90/2.98 [770]~P4(f163(f158(a191,x7701),x7703))+P4(f163(f158(a191,x7701),f53(f25(a107,f123(f29(a110),x7702)),f165(f30(a193),x7703))))
% 2.90/2.98 [773]~P4(f163(f131(a193,x7731),x7733))+P4(f163(f131(a193,x7731),f53(f25(a107,f123(f29(a110),x7732)),f165(f30(a193),x7733))))
% 2.90/2.98 [774]~P4(f142(f147(a192,x7741),x7743))+P4(f142(f147(a192,x7741),f55(f18(a107,f158(f34(a109),x7742)),f137(f28(a192),x7743))))
% 2.90/2.98 [787]P4(f163(f169(x7871),x7872))+~P4(f163(f169(x7871),f53(f25(a107,f123(f29(a110),x7873)),f165(f30(a193),x7872))))
% 2.90/2.98 [820]~P4(f163(f169(x8201),f53(f25(a107,f123(f29(a110),x8202)),f165(f30(a193),x8203))))+P4(f163(f169(x8201),f53(f25(a107,f123(f29(a110),x8202)),f165(f30(a193),a3))))
% 2.90/2.98 [827]~P4(f163(f158(a191,x8272),x8273))+P4(f163(f158(a191,f53(f25(a107,f123(f29(a110),x8271)),f165(f30(a193),x8272))),f53(f25(a107,f123(f29(a110),x8271)),f165(f30(a193),x8273))))
% 2.90/2.98 [804]~E(x8041,x8042)+P4(f139(f167(a200,x8041),f50(f52(f23(a107,f168(f26(a111),x8042)),f161(f27(a200),x8043)))))
% 2.90/2.98 [805]~E(x8051,x8052)+P4(f141(f156(a201,x8051),f51(f54(f17(a107,f151(f31(a112),x8052)),f155(f33(a201),x8053)))))
% 2.90/2.98 [809]~P4(f139(f167(a200,x8091),x8093))+P4(f139(f167(a200,x8091),f50(f52(f23(a107,f168(f26(a111),x8092)),f161(f27(a200),x8093)))))
% 2.90/2.98 [810]~P4(f139(f151(a190,x8101),x8103))+P4(f139(f151(a190,x8101),f50(f52(f23(a107,f168(f26(a111),x8102)),f161(f27(a200),x8103)))))
% 2.90/2.98 [811]~P4(f141(f156(a201,x8111),x8113))+P4(f141(f156(a201,x8111),f51(f54(f17(a107,f151(f31(a112),x8112)),f155(f33(a201),x8113)))))
% 2.90/2.98 [828]P4(f163(f158(a191,x8281),x8282))+~P4(f163(f158(a191,f53(f25(a107,f123(f29(a110),x8283)),f165(f30(a193),x8281))),x8282))
% 2.90/2.98 [829]P4(f163(f131(a193,x8291),x8292))+~P4(f163(f158(a191,f53(f25(a107,f123(f29(a110),x8291)),f165(f30(a193),x8293))),x8292))
% 2.90/2.98 [841]~P4(f139(f151(a190,x8412),x8413))+P4(f139(f151(a190,f50(f52(f23(a107,f168(f26(a111),x8411)),f161(f27(a200),x8412)))),f50(f52(f23(a107,f168(f26(a111),x8411)),f161(f27(a200),x8413)))))
% 2.90/2.98 [842]P4(f139(f167(a200,x8421),x8422))+~P4(f139(f151(a190,f50(f52(f23(a107,f168(f26(a111),x8421)),f161(f27(a200),x8423)))),x8422))
% 2.90/2.98 [843]P4(f139(f151(a190,x8431),x8432))+~P4(f139(f151(a190,f50(f52(f23(a107,f168(f26(a111),x8433)),f161(f27(a200),x8431)))),x8432))
% 2.90/2.98 [419]~P3(x4191)+E(x4191,a103)+E(x4191,a1)
% 2.90/2.98 [432]~P1(x4321)+E(x4321,a12)+P5(f73(x4321))
% 2.90/2.98 [433]~P1(x4331)+E(x4331,a12)+P5(f80(x4331))
% 2.90/2.98 [434]~P2(x4341)+E(x4341,a5)+P1(f74(x4341))
% 2.90/2.98 [435]~P2(x4351)+E(x4351,a5)+P1(f77(x4351))
% 2.90/2.98 [576]~P1(x5761)+E(x5761,a12)+~P4(f139(f151(a190,x5761),a12))
% 2.90/2.98 [536]~P1(x5361)+E(x5361,a12)+P4(f139(f167(a200,f73(x5361)),x5361))
% 2.90/2.98 [537]~P1(x5371)+E(x5371,a12)+P4(f139(f167(a200,f80(x5371)),x5371))
% 2.90/2.98 [538]~P2(x5381)+E(x5381,a5)+P4(f141(f156(a201,f74(x5381)),x5381))
% 2.90/2.98 [539]~P2(x5391)+E(x5391,a5)+P4(f141(f156(a201,f77(x5391)),x5391))
% 2.90/2.98 [442]~P1(x4422)+~E(x4422,a12)+E(f174(x4421,x4422),a3)
% 2.90/2.98 [461]~P1(x4611)+E(x4611,a12)+~E(f174(x4612,x4611),a3)
% 2.90/2.98 [479]~E(f122(a6,x4792),f208(x4791))+P4(f212(x4791))+~P4(a120)
% 2.90/2.98 [484]~P1(x4841)+~P5(x4842)+P3(f170(x4841,x4842))
% 2.90/2.98 [485]~P1(x4852)+~P2(x4851)+P3(f139(x4851,x4852))
% 2.90/2.98 [505]~P5(x5052)+~P4(f170(x5051,x5052))+~E(f50(x5051),a12)
% 2.90/2.98 [506]~P1(x5062)+~P4(f139(x5061,x5062))+~E(f51(x5061),a5)
% 2.90/2.98 [507]~P2(x5072)+~P4(f141(x5071,x5072))+~E(f59(x5071),a7)
% 2.90/2.98 [454]~P1(x4542)+~E(x4542,a12)+E(f194(f57(x4541),x4542),a12)
% 2.90/2.98 [455]~P1(x4552)+~E(x4552,a12)+E(f187(f46(x4551),x4552),a5)
% 2.90/2.98 [456]~P2(x4562)+~E(x4562,a5)+E(f179(f49(x4561),x4562),a12)
% 2.90/2.98 [458]~P2(x4582)+~E(x4582,a5)+E(f189(f40(x4581),x4582),a3)
% 2.90/2.98 [459]~P1(x4592)+~E(x4592,a12)+E(f195(f39(x4591),x4592),a4)
% 2.90/2.98 [528]~P4(x5282)+~P4(x5281)+P4(f134(f135(a108,x5281),x5282))
% 2.90/2.98 [581]P4(x5811)+P4(x5812)+~P4(f134(f135(a107,x5812),x5811))
% 2.90/2.98 [582]P4(x5821)+~P4(x5822)+~P4(f134(f135(a113,x5822),x5821))
% 2.90/2.98 [603]P4(f139(a102,x6031))+~P4(f139(a102,x6032))+~P4(f139(f151(a190,x6031),x6032))
% 2.90/2.98 [605]P4(f163(a105,x6051))+~P4(f163(a105,x6052))+~P4(f163(f158(a191,x6051),x6052))
% 2.90/2.98 [607]P4(f141(a116,x6071))+~P4(f141(a116,x6072))+~P4(f141(f154(a204,x6071),x6072))
% 2.90/2.98 [609]P4(f142(a117,x6091))+~P4(f142(a117,x6092))+~P4(f142(f157(a202,x6091),x6092))
% 2.90/2.98 [626]E(x6261,x6262)+~P4(f163(f158(a191,x6262),x6261))+~P4(f163(f158(a191,x6261),x6262))
% 2.90/2.98 [627]E(x6271,x6272)+~P4(f142(f157(a202,x6272),x6271))+~P4(f142(f157(a202,x6271),x6272))
% 2.90/2.98 [596]~P1(x5961)+E(x5961,a12)+E(f174(f44(x5962),x5961),f53(f25(a107,f123(f29(a110),x5962)),f165(f30(a193),a3)))
% 2.90/2.98 [597]~P1(x5971)+E(x5971,a12)+E(f195(f39(x5972),x5971),f55(f18(a107,f158(f34(a109),x5972)),f137(f28(a192),a4)))
% 2.90/2.98 [598]~P2(x5981)+E(x5981,a5)+E(f189(f40(x5982),x5981),f53(f25(a107,f123(f29(a110),x5982)),f165(f30(a193),a3)))
% 2.90/2.98 [634]~P4(f163(a105,x6342))+~P4(f163(a105,x6341))+P4(f163(a105,f53(f25(a107,x6341),x6342)))
% 2.90/2.98 [635]~P4(f142(a117,x6352))+~P4(f142(a117,x6351))+P4(f142(a117,f55(f18(a107,x6351),x6352)))
% 2.90/2.98 [681]~P1(x6811)+E(x6811,a12)+E(f194(f57(x6812),x6811),f50(f52(f23(a107,f168(f26(a111),x6812)),f161(f27(a200),a12))))
% 2.90/2.98 [682]~P1(x6821)+E(x6821,a12)+E(f187(f46(x6822),x6821),f51(f54(f17(a107,f151(f31(a112),x6822)),f155(f33(a201),a5))))
% 2.90/2.98 [683]~P2(x6831)+E(x6831,a5)+E(f179(f49(x6832),x6831),f50(f52(f23(a107,f168(f26(a111),x6832)),f161(f27(a200),a12))))
% 2.90/2.98 [726]~P1(x7262)+E(f50(f52(f23(a107,f168(f26(a111),x7261)),f161(f27(a200),x7262))),x7262)+~P4(f139(f167(a200,x7261),x7262))
% 2.90/2.98 [735]~P4(f139(a102,f50(x7352)))+~P4(f139(a102,f50(x7351)))+P4(f139(a102,f50(f52(f23(a107,x7351),x7352))))
% 2.90/2.98 [736]~P4(f141(a116,f51(x7362)))+~P4(f141(a116,f51(x7361)))+P4(f141(a116,f51(f54(f17(a107,x7361),x7362))))
% 2.90/2.98 [754]~P1(x7542)+~P5(x7541)+P1(f50(f52(f23(a107,f168(f26(a111),x7541)),f161(f27(a200),x7542))))
% 2.90/2.98 [755]~P1(x7551)+~P2(x7552)+P2(f51(f54(f17(a107,f151(f31(a112),x7551)),f155(f33(a201),x7552))))
% 2.90/2.98 [794]E(x7941,a3)+E(x7941,f53(f25(a107,f123(f29(a110),x7942)),f165(f30(a193),a3)))+~P4(f163(f158(a191,x7941),f53(f25(a107,f123(f29(a110),x7942)),f165(f30(a193),a3))))
% 2.90/2.98 [795]E(x7951,a4)+E(x7951,f55(f18(a107,f158(f34(a109),x7952)),f137(f28(a192),a4)))+~P4(f142(f157(a202,x7951),f55(f18(a107,f158(f34(a109),x7952)),f137(f28(a192),a4))))
% 2.90/2.98 [600]~P4(f163(f169(x6003),x6002))+P4(f163(f169(x6001),x6002))+~P4(f163(f169(x6001),x6003))
% 2.90/2.98 [621]P4(f163(f169(x6211),x6212))+~P4(f163(f169(x6213),x6212))+~P4(f163(f158(a191,x6213),x6211))
% 2.90/2.98 [622]P4(f163(f169(x6221),x6222))+~P4(f163(f169(x6221),x6223))+~P4(f163(f158(a191,x6222),x6223))
% 2.90/2.98 [655]P4(f139(a102,x6551))+~P4(f139(a102,x6552))+~P4(f139(f151(a190,x6551),f194(x6553,x6552)))
% 2.90/2.98 [656]P4(f139(a102,x6561))+~P4(f163(a105,x6562))+~P4(f139(f151(a190,x6561),f185(x6563,x6562)))
% 2.90/2.98 [657]P4(f139(a102,x6571))+~P4(f141(a116,x6572))+~P4(f139(f151(a190,x6571),f179(x6573,x6572)))
% 2.90/2.98 [658]P4(f139(a102,x6581))+~P4(f142(a117,x6582))+~P4(f139(f151(a190,x6581),f175(x6583,x6582)))
% 2.90/2.98 [659]P4(f139(a102,x6591))+~P4(f144(a118,x6592))+~P4(f139(f151(a190,x6591),f176(x6593,x6592)))
% 2.90/2.98 [660]P4(f139(a102,x6601))+~P4(f150(a119,x6602))+~P4(f139(f151(a190,x6601),f177(x6603,x6602)))
% 2.90/2.98 [661]P4(f163(a105,x6611))+~P4(f139(a102,x6612))+~P4(f163(f158(a191,x6611),f174(x6613,x6612)))
% 2.90/2.98 [662]P4(f163(a105,x6621))+~P4(f141(a116,x6622))+~P4(f163(f158(a191,x6621),f189(x6623,x6622)))
% 2.90/2.98 [663]P4(f163(a105,x6631))+~P4(f142(a117,x6632))+~P4(f163(f158(a191,x6631),f184(x6633,x6632)))
% 2.90/2.98 [664]P4(f163(a105,x6641))+~P4(f144(a118,x6642))+~P4(f163(f158(a191,x6641),f196(x6643,x6642)))
% 2.90/2.98 [665]P4(f163(a105,x6651))+~P4(f150(a119,x6652))+~P4(f163(f158(a191,x6651),f197(x6653,x6652)))
% 2.90/2.98 [666]P4(f141(a116,x6661))+~P4(f139(a102,x6662))+~P4(f141(f154(a204,x6661),f187(x6663,x6662)))
% 2.90/2.98 [667]P4(f141(a116,x6671))+~P4(f163(a105,x6672))+~P4(f141(f154(a204,x6671),f186(x6673,x6672)))
% 2.90/2.98 [668]P4(f142(a117,x6681))+~P4(f139(a102,x6682))+~P4(f142(f157(a202,x6681),f195(x6683,x6682)))
% 2.90/2.98 [669]P4(f142(a117,x6691))+~P4(f163(a105,x6692))+~P4(f142(f157(a202,x6691),f182(x6693,x6692)))
% 2.90/2.98 [670]P4(f144(a118,x6701))+~P4(f139(a102,x6702))+~P4(f144(f143(a203,x6701),f181(x6703,x6702)))
% 2.90/2.98 [671]P4(f144(a118,x6711))+~P4(f163(a105,x6712))+~P4(f144(f143(a203,x6711),f180(x6713,x6712)))
% 2.90/2.98 [672]P4(f150(a119,x6721))+~P4(f139(a102,x6722))+~P4(f150(f160(a205,x6721),f188(x6723,x6722)))
% 2.90/2.98 [673]P4(f150(a119,x6731))+~P4(f163(a105,x6732))+~P4(f150(f160(a205,x6731),f183(x6733,x6732)))
% 2.90/2.98 [694]~P4(f139(f167(a200,x6941),x6943))+~P4(f139(f151(a190,x6943),x6942))+P4(f139(f167(a200,x6941),x6942))
% 2.90/2.98 [695]~P4(f139(f151(a190,x6951),x6953))+P4(f139(f151(a190,x6951),x6952))+~P4(f139(f151(a190,x6953),x6952))
% 2.90/2.98 [696]~P4(f163(f158(a191,x6961),x6963))+P4(f163(f158(a191,x6961),x6962))+~P4(f163(f158(a191,x6963),x6962))
% 2.90/2.98 [700]~P4(f163(f131(a193,x7001),x7003))+P4(f163(f131(a193,x7001),x7002))+~P4(f163(f158(a191,x7003),x7002))
% 2.90/2.98 [701]~P4(f141(f156(a201,x7011),x7013))+P4(f141(f156(a201,x7011),x7012))+~P4(f141(f154(a204,x7013),x7012))
% 2.90/2.98 [702]~P4(f142(f147(a192,x7021),x7023))+P4(f142(f147(a192,x7021),x7022))+~P4(f142(f157(a202,x7023),x7022))
% 2.90/2.98 [714]P1(f98(x7141,x7142,x7143))+~P4(f163(a105,x7143))+~P4(f163(f158(a191,x7143),f174(x7141,x7142)))
% 2.90/2.98 [717]E(f174(x7171,f98(x7171,x7172,x7173)),x7173)+~P4(f163(a105,x7173))+~P4(f163(f158(a191,x7173),f174(x7171,x7172)))
% 2.90/2.98 [747]~P4(f163(a105,x7473))+~P4(f163(f158(a191,x7473),f174(x7471,x7472)))+P4(f139(a102,f98(x7471,x7472,x7473)))
% 2.90/2.98 [779]~P4(f163(a105,x7793))+~P4(f163(f158(a191,x7793),f174(x7791,x7792)))+P4(f139(f151(a190,f98(x7791,x7792,x7793)),x7792))
% 2.90/2.98 [784]E(x7841,x7842)+P4(f132(x7843,x7842))+~P4(f132(f53(f25(a107,f123(f29(a110),x7841)),f165(f30(a193),x7843)),x7842))
% 2.90/2.98 [792]E(x7921,x7922)+P4(f163(f131(a193,x7921),x7923))+~P4(f163(f131(a193,x7921),f53(f25(a107,f123(f29(a110),x7922)),f165(f30(a193),x7923))))
% 2.90/2.98 [793]E(x7931,x7932)+P4(f142(f147(a192,x7931),x7933))+~P4(f142(f147(a192,x7931),f55(f18(a107,f158(f34(a109),x7932)),f137(f28(a192),x7933))))
% 2.90/2.98 [796]P4(f163(f158(a191,x7961),x7962))+P4(f163(f131(a193,x7963),x7961))+~P4(f163(f158(a191,x7961),f53(f25(a107,f123(f29(a110),x7963)),f165(f30(a193),x7962))))
% 2.90/2.98 [821]~P4(f163(f169(x8211),x8213))+~P4(f163(f169(x8211),f53(f25(a107,f123(f29(a110),x8212)),f165(f30(a193),a3))))+P4(f163(f169(x8211),f53(f25(a107,f123(f29(a110),x8212)),f165(f30(a193),x8213))))
% 2.90/2.98 [819]~P4(f163(f158(a191,x8192),x8193))+~P4(f163(f131(a193,x8191),x8193))+P4(f163(f158(a191,f53(f25(a107,f123(f29(a110),x8191)),f165(f30(a193),x8192))),x8193))
% 2.90/2.98 [833]P4(f139(f167(a200,x8331),x8332))+P4(f139(f151(a190,x8332),x8333))+~P4(f139(f151(a190,x8332),f50(f52(f23(a107,f168(f26(a111),x8331)),f161(f27(a200),x8333)))))
% 2.90/2.98 [840]~P4(f139(f167(a200,x8401),x8403))+~P4(f139(f151(a190,x8402),x8403))+P4(f139(f151(a190,f50(f52(f23(a107,f168(f26(a111),x8401)),f161(f27(a200),x8402)))),x8403))
% 2.90/2.98 [643]~E(x6431,f172(x6432,x6434))+~P4(f139(f167(a200,x6434),x6433))+P4(f139(f167(a200,x6431),f194(x6432,x6433)))
% 2.90/2.98 [644]~E(x6441,f129(x6442,x6444))+~P4(f163(f131(a193,x6444),x6443))+P4(f139(f167(a200,x6441),f185(x6442,x6443)))
% 2.90/2.98 [645]~E(x6451,f138(x6452,x6454))+~P4(f141(f156(a201,x6454),x6453))+P4(f139(f167(a200,x6451),f179(x6452,x6453)))
% 2.90/2.98 [646]~E(x6461,f153(x6462,x6464))+~P4(f142(f147(a192,x6464),x6463))+P4(f139(f167(a200,x6461),f175(x6462,x6463)))
% 2.90/2.98 [648]~E(x6481,f162(x6482,x6484))+~P4(f139(f167(a200,x6484),x6483))+P4(f163(f131(a193,x6481),f174(x6482,x6483)))
% 2.90/2.98 [649]~E(x6491,f127(x6492,x6494))+~P4(f142(f147(a192,x6494),x6493))+P4(f163(f131(a193,x6491),f184(x6492,x6493)))
% 2.90/2.98 [650]~E(x6501,f126(x6502,x6504))+~P4(f141(f156(a201,x6504),x6503))+P4(f163(f131(a193,x6501),f189(x6502,x6503)))
% 2.90/2.98 [651]~E(x6511,f168(x6512,x6514))+~P4(f139(f167(a200,x6514),x6513))+P4(f141(f156(a201,x6511),f187(x6512,x6513)))
% 2.90/2.98 [652]~E(x6521,f128(x6522,x6524))+~P4(f163(f131(a193,x6524),x6523))+P4(f141(f156(a201,x6521),f186(x6522,x6523)))
% 2.90/2.98 [653]~E(x6531,f125(x6532,x6534))+~P4(f139(f167(a200,x6534),x6533))+P4(f142(f147(a192,x6531),f195(x6532,x6533)))
% 2.90/2.98 [654]~E(x6541,f123(x6542,x6544))+~P4(f163(f131(a193,x6544),x6543))+P4(f142(f147(a192,x6541),f182(x6542,x6543)))
% 2.90/2.98 [813]~E(x8132,x8133)+~E(x8131,x8134)+E(f53(f25(a107,f123(f29(a110),x8131)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8132)),f165(f30(a193),a3)))),f53(f25(a107,f123(f29(a110),x8133)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8134)),f165(f30(a193),a3)))))
% 2.90/2.98 [836]E(x8361,x8362)+E(x8363,x8361)+~E(f53(f25(a107,f123(f29(a110),x8361)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8364)),f165(f30(a193),a3)))),f53(f25(a107,f123(f29(a110),x8362)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8363)),f165(f30(a193),a3)))))
% 2.90/2.98 [837]E(x8371,x8372)+E(x8373,x8371)+~E(f53(f25(a107,f123(f29(a110),x8373)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8372)),f165(f30(a193),a3)))),f53(f25(a107,f123(f29(a110),x8374)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8371)),f165(f30(a193),a3)))))
% 2.90/2.98 [838]E(x8381,x8382)+E(x8381,x8383)+~E(f53(f25(a107,f123(f29(a110),x8383)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8382)),f165(f30(a193),a3)))),f53(f25(a107,f123(f29(a110),x8384)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8381)),f165(f30(a193),a3)))))
% 2.90/2.98 [839]E(x8391,x8392)+E(x8391,x8393)+~E(f53(f25(a107,f123(f29(a110),x8391)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8394)),f165(f30(a193),a3)))),f53(f25(a107,f123(f29(a110),x8392)),f165(f30(a193),f53(f25(a107,f123(f29(a110),x8393)),f165(f30(a193),a3)))))
% 2.90/2.98 [788]~P4(a120)+~P4(a121)+~P4(f212(x7881))+P4(f163(f169(a3),f53(f25(a107,f123(f29(a110),f136(a178,x7881))),f165(f30(a193),a3))))
% 2.90/2.98 [501]~P5(x5012)+~P5(x5011)+E(x5011,x5012)+~E(f171(a9,x5011),f171(a9,x5012))
% 2.90/2.98 [586]~P1(x5862)+~P1(x5861)+E(x5861,x5862)+~P4(f139(f151(a112,x5861),x5862))
% 2.90/2.98 [587]~P5(x5872)+~P5(x5871)+E(x5871,x5872)+~P4(f170(f168(a111,x5871),x5872))
% 2.90/2.98 [781]~P5(x7812)+~P5(x7811)+E(x7811,x7812)+~E(f50(f52(f23(a107,f168(f26(a111),x7811)),f161(f27(a200),a12))),f50(f52(f23(a107,f168(f26(a111),x7812)),f161(f27(a200),a12))))
% 2.90/2.98 [789]~P4(f212(x7891))+P5(f86(x7891,x7892))+~P4(a121)+P4(f163(f169(x7892),f53(f25(a107,f123(f29(a110),f136(a178,x7891))),f165(f30(a193),a3))))
% 2.90/2.98 [798]~P4(a121)+~P4(f212(x7981))+P4(f139(f167(a200,f86(x7981,x7982)),f63(a6)))+P4(f163(f169(x7982),f53(f25(a107,f123(f29(a110),f136(a178,x7981))),f165(f30(a193),a3))))
% 2.90/2.98 [847]~P4(a121)+~P4(f212(x8472))+P4(f163(f169(x8471),f53(f25(a107,f123(f29(a110),f136(a178,x8472))),f165(f30(a193),a3))))+~P4(f163(f169(x8471),f53(f25(a107,f123(f29(a110),f136(a178,f171(a9,f86(x8472,x8471))))),f165(f30(a193),a3))))
% 2.90/2.98 [826]~P5(x8262)+~P5(x8261)+E(x8261,x8262)+~P4(f139(f167(a200,x8261),f50(f52(f23(a107,f168(f26(a111),x8262)),f161(f27(a200),a12)))))
% 2.90/2.98 [834]~P1(x8341)+E(x8341,a12)+E(x8341,f50(f52(f23(a107,f168(f26(a111),x8342)),f161(f27(a200),a12))))+~P4(f139(f151(a190,x8341),f50(f52(f23(a107,f168(f26(a111),x8342)),f161(f27(a200),a12)))))
% 2.90/2.98 [835]~P2(x8351)+E(x8351,a5)+E(x8351,f51(f54(f17(a107,f151(f31(a112),x8352)),f155(f33(a201),a5))))+~P4(f141(f154(a204,x8351),f51(f54(f17(a107,f151(f31(a112),x8352)),f155(f33(a201),a5)))))
% 2.90/2.98 [757]E(x7571,x7572)+~E(f53(f25(a107,f123(f29(a110),x7573)),f165(f30(a193),x7571)),f53(f25(a107,f123(f29(a110),x7573)),f165(f30(a193),x7572)))+P4(f163(f131(a193,x7573),x7571))+P4(f163(f131(a193,x7573),x7572))
% 2.90/2.98 [797]~E(x7971,x7973)+~P5(x7973)+~P5(x7971)+P4(f170(f50(f52(f23(a107,f168(f26(a111),x7971)),f161(f27(a200),x7972))),x7973))
% 2.90/2.98 [806]~P5(x8061)+~P5(x8063)+~P4(f170(x8062,x8063))+P4(f170(f50(f52(f23(a107,f168(f26(a111),x8061)),f161(f27(a200),x8062))),x8063))
% 2.90/2.98 [676]~P1(x6764)+~E(x6761,f174(x6762,x6764))+~P4(f139(f151(a190,x6764),x6763))+P4(f163(f158(a191,x6761),f174(x6762,x6763)))
% 2.90/2.98 [632]~P1(x6322)+~P1(x6321)+E(x6321,x6322)+~P4(f139(f151(a190,x6322),x6321))+~P4(f139(f151(a190,x6321),x6322))
% 2.90/2.98 [633]~P2(x6332)+~P2(x6331)+E(x6331,x6332)+~P4(f141(f154(a204,x6332),x6331))+~P4(f141(f154(a204,x6331),x6332))
% 2.90/2.98 [708]P4(f139(x7081,x7082))+P1(f87(x7081,x7083,x7082))+~P4(f139(x7081,a12))+~P4(f139(a102,x7082))+~P4(f139(f151(a190,x7082),x7083))
% 2.90/2.98 [709]P4(f139(x7091,x7092))+P5(f88(x7091,x7093,x7092))+~P4(f139(x7091,a12))+~P4(f139(a102,x7092))+~P4(f139(f151(a190,x7092),x7093))
% 2.90/2.98 [710]P4(f141(x7101,x7102))+P1(f89(x7101,x7103,x7102))+~P4(f141(x7101,a5))+~P4(f141(a116,x7102))+~P4(f141(f154(a204,x7102),x7103))
% 2.90/2.98 [711]P4(f141(x7111,x7112))+P2(f94(x7111,x7113,x7112))+~P4(f141(x7111,a5))+~P4(f141(a116,x7112))+~P4(f141(f154(a204,x7112),x7113))
% 2.90/2.98 [739]P4(f139(x7391,x7392))+~P4(f139(x7391,a12))+~P4(f139(a102,x7392))+~P4(f139(f151(a190,x7392),x7393))+P4(f139(a102,f87(x7391,x7393,x7392)))
% 2.90/2.98 [740]P4(f163(x7401,x7402))+~P4(f163(x7401,a3))+~P4(f163(a105,x7402))+~P4(f163(f158(a191,x7402),x7403))+P4(f163(a105,f90(x7401,x7403,x7402)))
% 2.90/2.98 [741]P4(f141(x7411,x7412))+~P4(f141(x7411,a5))+~P4(f141(a116,x7412))+~P4(f141(f154(a204,x7412),x7413))+P4(f141(a116,f94(x7411,x7413,x7412)))
% 2.90/2.98 [742]P4(f142(x7421,x7422))+~P4(f142(x7421,a4))+~P4(f142(a117,x7422))+~P4(f142(f157(a202,x7422),x7423))+P4(f142(a117,f95(x7421,x7423,x7422)))
% 2.90/2.98 [743]P4(f139(x7431,x7432))+~P4(f139(x7431,a12))+~P4(f139(a102,x7432))+P4(f139(x7431,f87(x7431,x7433,x7432)))+~P4(f139(f151(a190,x7432),x7433))
% 2.90/2.98 [744]P4(f163(x7441,x7442))+~P4(f163(x7441,a3))+~P4(f163(a105,x7442))+P4(f163(x7441,f90(x7441,x7443,x7442)))+~P4(f163(f158(a191,x7442),x7443))
% 2.90/2.98 [745]P4(f141(x7451,x7452))+~P4(f141(x7451,a5))+~P4(f141(a116,x7452))+P4(f141(x7451,f94(x7451,x7453,x7452)))+~P4(f141(f154(a204,x7452),x7453))
% 2.90/2.98 [746]P4(f142(x7461,x7462))+~P4(f142(x7461,a4))+~P4(f142(a117,x7462))+P4(f142(x7461,f95(x7461,x7463,x7462)))+~P4(f142(f157(a202,x7462),x7463))
% 2.90/2.98 [815]P4(f139(x8151,x8152))+~P4(f139(x8151,a12))+~P4(f139(a102,x8152))+~P4(f139(f167(a200,f88(x8151,x8153,x8152)),f87(x8151,x8153,x8152)))+~P4(f139(f151(a190,x8152),x8153))
% 2.90/2.98 [816]P4(f163(x8161,x8162))+~P4(f163(x8161,a3))+~P4(f163(a105,x8162))+~P4(f163(f131(a193,f91(x8161,x8163,x8162)),f90(x8161,x8163,x8162)))+~P4(f163(f158(a191,x8162),x8163))
% 2.90/2.98 [817]P4(f141(x8171,x8172))+~P4(f141(x8171,a5))+~P4(f141(a116,x8172))+~P4(f141(f156(a201,f89(x8171,x8173,x8172)),f94(x8171,x8173,x8172)))+~P4(f141(f154(a204,x8172),x8173))
% 2.90/2.98 [818]P4(f142(x8181,x8182))+~P4(f142(x8181,a4))+~P4(f142(a117,x8182))+~P4(f142(f147(a192,f96(x8181,x8183,x8182)),f95(x8181,x8183,x8182)))+~P4(f142(f157(a202,x8182),x8183))
% 2.90/2.98 [775]P4(f139(x7751,x7752))+~P4(f139(x7751,a12))+~P4(f139(a102,x7752))+~P4(f139(f151(a190,x7752),x7753))+P4(f139(f167(a200,f88(x7751,x7753,x7752)),x7753))
% 2.90/2.98 [776]P4(f163(x7761,x7762))+~P4(f163(x7761,a3))+~P4(f163(a105,x7762))+~P4(f163(f158(a191,x7762),x7763))+P4(f163(f131(a193,f91(x7761,x7763,x7762)),x7763))
% 2.90/2.98 [777]P4(f141(x7771,x7772))+~P4(f141(x7771,a5))+~P4(f141(a116,x7772))+~P4(f141(f154(a204,x7772),x7773))+P4(f141(f156(a201,f89(x7771,x7773,x7772)),x7773))
% 2.90/2.98 [778]P4(f142(x7781,x7782))+~P4(f142(x7781,a4))+~P4(f142(a117,x7782))+~P4(f142(f157(a202,x7782),x7783))+P4(f142(f147(a192,f96(x7781,x7783,x7782)),x7783))
% 2.90/2.98 [845]P4(f163(x8451,x8452))+~P4(f163(x8451,a3))+~P4(f163(a105,x8452))+~P4(f163(f158(a191,x8452),x8453))+~P4(f163(x8451,f53(f25(a107,f123(f29(a110),f91(x8451,x8453,x8452))),f165(f30(a193),f90(x8451,x8453,x8452)))))
% 2.90/2.98 [846]P4(f142(x8461,x8462))+~P4(f142(x8461,a4))+~P4(f142(a117,x8462))+~P4(f142(f157(a202,x8462),x8463))+~P4(f142(x8461,f55(f18(a107,f158(f34(a109),f96(x8461,x8463,x8462))),f137(f28(a192),f95(x8461,x8463,x8462)))))
% 2.90/2.98 [824]~P5(x8242)+~P5(x8241)+E(x8241,x8242)+P4(f170(x8243,x8242))+~P4(f170(f50(f52(f23(a107,f168(f26(a111),x8241)),f161(f27(a200),x8243))),x8242))
% 2.90/2.98 [831]~P5(x8312)+~P5(x8311)+E(x8311,x8312)+P4(f139(f167(a200,x8311),x8313))+~P4(f139(f167(a200,x8311),f50(f52(f23(a107,f168(f26(a111),x8312)),f161(f27(a200),x8313)))))
% 2.90/2.98 [832]~P1(x8322)+~P1(x8321)+E(x8321,x8322)+P4(f141(f156(a201,x8321),x8323))+~P4(f141(f156(a201,x8321),f51(f54(f17(a107,f151(f31(a112),x8322)),f155(f33(a201),x8323)))))
% 2.90/2.98 [852]P4(f139(x8521,x8522))+~P4(f139(x8521,a12))+~P4(f139(a102,x8522))+~P4(f139(f151(a190,x8522),x8523))+~P4(f139(x8521,f50(f52(f23(a107,f168(f26(a111),f88(x8521,x8523,x8522))),f161(f27(a200),f87(x8521,x8523,x8522))))))
% 2.90/2.98 [853]P4(f141(x8531,x8532))+~P4(f141(x8531,a5))+~P4(f141(a116,x8532))+~P4(f141(f154(a204,x8532),x8533))+~P4(f141(x8531,f51(f54(f17(a107,f151(f31(a112),f89(x8531,x8533,x8532))),f155(f33(a201),f94(x8531,x8533,x8532))))))
% 2.90/2.98 [790]~P1(x7902)+~P1(x7901)+E(x7901,x7902)+P4(f139(f167(a200,x7903),x7901))+~E(f50(f52(f23(a107,f168(f26(a111),x7903)),f161(f27(a200),x7901))),f50(f52(f23(a107,f168(f26(a111),x7903)),f161(f27(a200),x7902))))+P4(f139(f167(a200,x7903),x7902))
% 2.90/2.98 [844]~E(x8442,x8443)+~E(x8441,x8444)+~P5(x8443)+~P5(x8442)+~P5(x8444)+~P5(x8441)+E(f50(f52(f23(a107,f168(f26(a111),x8441)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8442)),f161(f27(a200),a12)))))),f50(f52(f23(a107,f168(f26(a111),x8443)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8444)),f161(f27(a200),a12)))))))
% 2.90/2.98 [848]~P5(x8484)+~P5(x8482)+~P5(x8481)+~P5(x8483)+E(x8481,x8482)+E(x8483,x8481)+~E(f50(f52(f23(a107,f168(f26(a111),x8481)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8484)),f161(f27(a200),a12)))))),f50(f52(f23(a107,f168(f26(a111),x8482)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8483)),f161(f27(a200),a12)))))))
% 2.90/2.98 [849]~P5(x8494)+~P5(x8492)+~P5(x8491)+~P5(x8493)+E(x8491,x8492)+E(x8493,x8491)+~E(f50(f52(f23(a107,f168(f26(a111),x8493)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8492)),f161(f27(a200),a12)))))),f50(f52(f23(a107,f168(f26(a111),x8494)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8491)),f161(f27(a200),a12)))))))
% 2.90/2.98 [850]~P5(x8504)+~P5(x8502)+~P5(x8503)+~P5(x8501)+E(x8501,x8502)+E(x8501,x8503)+~E(f50(f52(f23(a107,f168(f26(a111),x8503)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8502)),f161(f27(a200),a12)))))),f50(f52(f23(a107,f168(f26(a111),x8504)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8501)),f161(f27(a200),a12)))))))
% 2.90/2.98 [851]~P5(x8514)+~P5(x8512)+~P5(x8513)+~P5(x8511)+E(x8511,x8512)+E(x8511,x8513)+~E(f50(f52(f23(a107,f168(f26(a111),x8511)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8514)),f161(f27(a200),a12)))))),f50(f52(f23(a107,f168(f26(a111),x8512)),f161(f27(a200),f50(f52(f23(a107,f168(f26(a111),x8513)),f161(f27(a200),a12)))))))
% 2.90/2.98 %EqnAxiom
% 2.90/2.98 [1]E(x11,x11)
% 2.90/2.98 [2]E(x22,x21)+~E(x21,x22)
% 2.90/2.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.90/2.98 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 2.90/2.98 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 2.90/2.98 [6]~E(x61,x62)+E(f47(x61),f47(x62))
% 2.90/2.98 [7]~E(x71,x72)+E(f50(x71),f50(x72))
% 2.90/2.98 [8]~E(x81,x82)+E(f38(x81),f38(x82))
% 2.90/2.98 [9]~E(x91,x92)+E(f51(x91),f51(x92))
% 2.90/2.98 [10]~E(x101,x102)+E(f43(x101),f43(x102))
% 2.90/2.98 [11]~E(x111,x112)+E(f60(x111),f60(x112))
% 2.90/2.98 [12]~E(x121,x122)+E(f207(x121),f207(x122))
% 2.90/2.98 [13]~E(x131,x132)+E(f63(x131),f63(x132))
% 2.90/2.98 [14]~E(x141,x142)+E(f64(x141),f64(x142))
% 2.90/2.98 [15]~E(x151,x152)+E(f212(x151),f212(x152))
% 2.90/2.98 [16]~E(x161,x162)+E(f174(x161,x163),f174(x162,x163))
% 2.90/2.98 [17]~E(x171,x172)+E(f174(x173,x171),f174(x173,x172))
% 2.90/2.98 [18]~E(x181,x182)+E(f122(x181,x183),f122(x182,x183))
% 2.90/2.98 [19]~E(x191,x192)+E(f122(x193,x191),f122(x193,x192))
% 2.90/2.98 [20]~E(x201,x202)+E(f208(x201),f208(x202))
% 2.90/2.98 [21]~E(x211,x212)+E(f13(x211),f13(x212))
% 2.90/2.98 [22]~E(x221,x222)+E(f123(x221,x223),f123(x222,x223))
% 2.90/2.98 [23]~E(x231,x232)+E(f123(x233,x231),f123(x233,x232))
% 2.90/2.98 [24]~E(x241,x242)+E(f39(x241),f39(x242))
% 2.90/2.98 [25]~E(x251,x252)+E(f125(x251,x253),f125(x252,x253))
% 2.90/2.98 [26]~E(x261,x262)+E(f125(x263,x261),f125(x263,x262))
% 2.90/2.98 [27]~E(x271,x272)+E(f40(x271),f40(x272))
% 2.90/2.98 [28]~E(x281,x282)+E(f126(x281,x283),f126(x282,x283))
% 2.90/2.98 [29]~E(x291,x292)+E(f126(x293,x291),f126(x293,x292))
% 2.90/2.98 [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 2.90/2.98 [31]~E(x311,x312)+E(f127(x311,x313),f127(x312,x313))
% 2.90/2.98 [32]~E(x321,x322)+E(f127(x323,x321),f127(x323,x322))
% 2.90/2.98 [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 2.90/2.98 [34]~E(x341,x342)+E(f162(x341,x343),f162(x342,x343))
% 2.90/2.98 [35]~E(x351,x352)+E(f162(x353,x351),f162(x353,x352))
% 2.90/2.98 [36]~E(x361,x362)+E(f139(x361,x363),f139(x362,x363))
% 2.90/2.98 [37]~E(x371,x372)+E(f139(x373,x371),f139(x373,x372))
% 2.90/2.98 [38]~E(x381,x382)+E(f163(x381,x383),f163(x382,x383))
% 2.90/2.98 [39]~E(x391,x392)+E(f163(x393,x391),f163(x393,x392))
% 2.90/2.98 [40]~E(x401,x402)+E(f169(x401),f169(x402))
% 2.90/2.98 [41]~E(x411,x412)+E(f141(x411,x413),f141(x412,x413))
% 2.90/2.98 [42]~E(x421,x422)+E(f141(x423,x421),f141(x423,x422))
% 2.90/2.98 [43]~E(x431,x432)+E(f142(x431,x433),f142(x432,x433))
% 2.90/2.98 [44]~E(x441,x442)+E(f142(x443,x441),f142(x443,x442))
% 2.90/2.98 [45]~E(x451,x452)+E(f144(x451,x453),f144(x452,x453))
% 2.90/2.98 [46]~E(x461,x462)+E(f144(x463,x461),f144(x463,x462))
% 2.90/2.98 [47]~E(x471,x472)+E(f150(x471,x473),f150(x472,x473))
% 2.90/2.98 [48]~E(x481,x482)+E(f150(x483,x481),f150(x483,x482))
% 2.90/2.98 [49]~E(x491,x492)+E(f185(x491,x493),f185(x492,x493))
% 2.90/2.98 [50]~E(x501,x502)+E(f185(x503,x501),f185(x503,x502))
% 2.90/2.98 [51]~E(x511,x512)+E(f175(x511,x513),f175(x512,x513))
% 2.90/2.98 [52]~E(x521,x522)+E(f175(x523,x521),f175(x523,x522))
% 2.90/2.98 [53]~E(x531,x532)+E(f176(x531,x533),f176(x532,x533))
% 2.90/2.98 [54]~E(x541,x542)+E(f176(x543,x541),f176(x543,x542))
% 2.90/2.98 [55]~E(x551,x552)+E(f177(x551,x553),f177(x552,x553))
% 2.90/2.98 [56]~E(x561,x562)+E(f177(x563,x561),f177(x563,x562))
% 2.90/2.98 [57]~E(x571,x572)+E(f128(x571,x573),f128(x572,x573))
% 2.90/2.98 [58]~E(x581,x582)+E(f128(x583,x581),f128(x583,x582))
% 2.90/2.98 [59]~E(x591,x592)+E(f186(x591,x593),f186(x592,x593))
% 2.90/2.98 [60]~E(x601,x602)+E(f186(x603,x601),f186(x603,x602))
% 2.90/2.98 [61]~E(x611,x612)+E(f132(x611,x613),f132(x612,x613))
% 2.90/2.98 [62]~E(x621,x622)+E(f132(x623,x621),f132(x623,x622))
% 2.90/2.98 [63]~E(x631,x632)+E(f53(x631,x633),f53(x632,x633))
% 2.90/2.98 [64]~E(x641,x642)+E(f53(x643,x641),f53(x643,x642))
% 2.90/2.98 [65]~E(x651,x652)+E(f25(x651,x653),f25(x652,x653))
% 2.90/2.98 [66]~E(x661,x662)+E(f25(x663,x661),f25(x663,x662))
% 2.90/2.98 [67]~E(x671,x672)+E(f26(x671),f26(x672))
% 2.90/2.98 [68]~E(x681,x682)+E(f158(x681,x683),f158(x682,x683))
% 2.90/2.98 [69]~E(x691,x692)+E(f158(x693,x691),f158(x693,x692))
% 2.90/2.98 [70]~E(x701,x702)+E(f152(x701,x703),f152(x702,x703))
% 2.90/2.98 [71]~E(x711,x712)+E(f152(x713,x711),f152(x713,x712))
% 2.90/2.98 [72]~E(x721,x722)+E(f133(x721,x723),f133(x722,x723))
% 2.90/2.98 [73]~E(x731,x732)+E(f133(x733,x731),f133(x733,x732))
% 2.90/2.98 [74]~E(x741,x742)+E(f129(x741,x743),f129(x742,x743))
% 2.90/2.98 [75]~E(x751,x752)+E(f129(x753,x751),f129(x753,x752))
% 2.90/2.98 [76]~E(x761,x762)+E(f153(x761,x763),f153(x762,x763))
% 2.90/2.98 [77]~E(x771,x772)+E(f153(x773,x771),f153(x773,x772))
% 2.90/2.98 [78]~E(x781,x782)+E(f52(x781,x783),f52(x782,x783))
% 2.90/2.98 [79]~E(x791,x792)+E(f52(x793,x791),f52(x793,x792))
% 2.90/2.98 [80]~E(x801,x802)+E(f23(x801,x803),f23(x802,x803))
% 2.90/2.98 [81]~E(x811,x812)+E(f23(x813,x811),f23(x813,x812))
% 2.90/2.98 [82]~E(x821,x822)+E(f136(x821,x823),f136(x822,x823))
% 2.90/2.98 [83]~E(x831,x832)+E(f136(x833,x831),f136(x833,x832))
% 2.90/2.98 [84]~E(x841,x842)+E(f165(x841,x843),f165(x842,x843))
% 2.90/2.98 [85]~E(x851,x852)+E(f165(x853,x851),f165(x853,x852))
% 2.90/2.98 [86]~E(x861,x862)+E(f124(x861,x863),f124(x862,x863))
% 2.90/2.98 [87]~E(x871,x872)+E(f124(x873,x871),f124(x873,x872))
% 2.90/2.98 [88]~E(x881,x882)+E(f209(x881),f209(x882))
% 2.90/2.98 [89]~E(x891,x892)+E(f151(x891,x893),f151(x892,x893))
% 2.90/2.98 [90]~E(x901,x902)+E(f151(x903,x901),f151(x903,x902))
% 2.90/2.98 [91]~E(x911,x912)+E(f27(x911),f27(x912))
% 2.90/2.98 [92]~E(x921,x922)+E(f131(x921,x923),f131(x922,x923))
% 2.90/2.98 [93]~E(x931,x932)+E(f131(x933,x931),f131(x933,x932))
% 2.90/2.98 [94]~E(x941,x942)+E(f30(x941),f30(x942))
% 2.90/2.98 [95]~E(x951,x952)+E(f154(x951,x953),f154(x952,x953))
% 2.90/2.98 [96]~E(x961,x962)+E(f154(x963,x961),f154(x963,x962))
% 2.90/2.98 [97]~E(x971,x972)+E(f179(x971,x973),f179(x972,x973))
% 2.90/2.98 [98]~E(x981,x982)+E(f179(x983,x981),f179(x983,x982))
% 2.90/2.98 [99]~E(x991,x992)+E(f157(x991,x993),f157(x992,x993))
% 2.90/2.98 [100]~E(x1001,x1002)+E(f157(x1003,x1001),f157(x1003,x1002))
% 2.90/2.98 [101]~E(x1011,x1012)+E(f161(x1011,x1013),f161(x1012,x1013))
% 2.90/2.98 [102]~E(x1021,x1022)+E(f161(x1023,x1021),f161(x1023,x1022))
% 2.90/2.98 [103]~E(x1031,x1032)+E(f34(x1031),f34(x1032))
% 2.90/2.98 [104]~E(x1041,x1042)+E(f29(x1041),f29(x1042))
% 2.90/2.98 [105]~E(x1051,x1052)+E(f42(x1051),f42(x1052))
% 2.90/2.98 [106]~E(x1061,x1062)+E(f54(x1061,x1063),f54(x1062,x1063))
% 2.90/2.98 [107]~E(x1071,x1072)+E(f54(x1073,x1071),f54(x1073,x1072))
% 2.90/2.98 [108]~E(x1081,x1082)+E(f170(x1081,x1083),f170(x1082,x1083))
% 2.90/2.98 [109]~E(x1091,x1092)+E(f170(x1093,x1091),f170(x1093,x1092))
% 2.90/2.98 [110]~E(x1101,x1102)+E(f134(x1101,x1103),f134(x1102,x1103))
% 2.90/2.98 [111]~E(x1111,x1112)+E(f134(x1113,x1111),f134(x1113,x1112))
% 2.90/2.98 [112]~E(x1121,x1122)+E(f14(x1121,x1123),f14(x1122,x1123))
% 2.90/2.98 [113]~E(x1131,x1132)+E(f14(x1133,x1131),f14(x1133,x1132))
% 2.90/2.98 [114]~E(x1141,x1142)+E(f167(x1141,x1143),f167(x1142,x1143))
% 2.90/2.98 [115]~E(x1151,x1152)+E(f167(x1153,x1151),f167(x1153,x1152))
% 2.90/2.98 [116]~E(x1161,x1162)+E(f168(x1161,x1163),f168(x1162,x1163))
% 2.90/2.98 [117]~E(x1171,x1172)+E(f168(x1173,x1171),f168(x1173,x1172))
% 2.90/2.98 [118]~E(x1181,x1182)+E(f171(x1181,x1183),f171(x1182,x1183))
% 2.90/2.98 [119]~E(x1191,x1192)+E(f171(x1193,x1191),f171(x1193,x1192))
% 2.90/2.98 [120]~E(x1201,x1202)+E(f15(x1201,x1203),f15(x1202,x1203))
% 2.90/2.98 [121]~E(x1211,x1212)+E(f15(x1213,x1211),f15(x1213,x1212))
% 2.90/2.98 [122]~E(x1221,x1222)+E(f28(x1221),f28(x1222))
% 2.90/2.98 [123]~E(x1231,x1232)+E(f18(x1231,x1233),f18(x1232,x1233))
% 2.90/2.98 [124]~E(x1241,x1242)+E(f18(x1243,x1241),f18(x1243,x1242))
% 2.90/2.98 [125]~E(x1251,x1252)+E(f137(x1251,x1253),f137(x1252,x1253))
% 2.90/2.98 [126]~E(x1261,x1262)+E(f137(x1263,x1261),f137(x1263,x1262))
% 2.90/2.98 [127]~E(x1271,x1272)+E(f19(x1271,x1273),f19(x1272,x1273))
% 2.90/2.98 [128]~E(x1281,x1282)+E(f19(x1283,x1281),f19(x1283,x1282))
% 2.90/2.98 [129]~E(x1291,x1292)+E(f17(x1291,x1293),f17(x1292,x1293))
% 2.90/2.98 [130]~E(x1301,x1302)+E(f17(x1303,x1301),f17(x1303,x1302))
% 2.90/2.98 [131]~E(x1311,x1312)+E(f76(x1311),f76(x1312))
% 2.90/2.98 [132]~E(x1321,x1322)+E(f93(x1321),f93(x1322))
% 2.90/2.98 [133]~E(x1331,x1332)+E(f16(x1331,x1333),f16(x1332,x1333))
% 2.90/2.98 [134]~E(x1341,x1342)+E(f16(x1343,x1341),f16(x1343,x1342))
% 2.90/2.98 [135]~E(x1351,x1352)+E(f31(x1351),f31(x1352))
% 2.90/2.98 [136]~E(x1361,x1362)+E(f59(x1361),f59(x1362))
% 2.90/2.98 [137]~E(x1371,x1372)+E(f164(x1371,x1373),f164(x1372,x1373))
% 2.90/2.98 [138]~E(x1381,x1382)+E(f164(x1383,x1381),f164(x1383,x1382))
% 2.90/2.98 [139]~E(x1391,x1392)+E(f21(x1391,x1393),f21(x1392,x1393))
% 2.90/2.98 [140]~E(x1401,x1402)+E(f21(x1403,x1401),f21(x1403,x1402))
% 2.90/2.98 [141]~E(x1411,x1412)+E(f199(x1411,x1413),f199(x1412,x1413))
% 2.90/2.98 [142]~E(x1421,x1422)+E(f199(x1423,x1421),f199(x1423,x1422))
% 2.90/2.98 [143]~E(x1431,x1432)+E(f41(x1431),f41(x1432))
% 2.90/2.98 [144]~E(x1441,x1442)+E(f55(x1441,x1443),f55(x1442,x1443))
% 2.90/2.98 [145]~E(x1451,x1452)+E(f55(x1453,x1451),f55(x1453,x1452))
% 2.90/2.98 [146]~E(x1461,x1462)+E(f22(x1461,x1463),f22(x1462,x1463))
% 2.90/2.98 [147]~E(x1471,x1472)+E(f22(x1473,x1471),f22(x1473,x1472))
% 2.90/2.98 [148]~E(x1481,x1482)+E(f195(x1481,x1483),f195(x1482,x1483))
% 2.90/2.98 [149]~E(x1491,x1492)+E(f195(x1493,x1491),f195(x1493,x1492))
% 2.90/2.98 [150]~E(x1501,x1502)+E(f33(x1501),f33(x1502))
% 2.90/2.98 [151]~E(x1511,x1512)+E(f135(x1511,x1513),f135(x1512,x1513))
% 2.90/2.98 [152]~E(x1521,x1522)+E(f135(x1523,x1521),f135(x1523,x1522))
% 2.90/2.98 [153]~E(x1531,x1532)+E(f149(x1531,x1533),f149(x1532,x1533))
% 2.90/2.98 [154]~E(x1541,x1542)+E(f149(x1543,x1541),f149(x1543,x1542))
% 2.90/2.98 [155]~E(x1551,x1552)+E(f166(x1551,x1553),f166(x1552,x1553))
% 2.90/2.98 [156]~E(x1561,x1562)+E(f166(x1563,x1561),f166(x1563,x1562))
% 2.90/2.98 [157]~E(x1571,x1572)+E(f46(x1571),f46(x1572))
% 2.90/2.98 [158]~E(x1581,x1582)+E(f140(x1581,x1583),f140(x1582,x1583))
% 2.90/2.98 [159]~E(x1591,x1592)+E(f140(x1593,x1591),f140(x1593,x1592))
% 2.90/2.98 [160]~E(x1601,x1602)+E(f148(x1601,x1603),f148(x1602,x1603))
% 2.90/2.98 [161]~E(x1611,x1612)+E(f148(x1613,x1611),f148(x1613,x1612))
% 2.90/2.98 [162]~E(x1621,x1622)+E(f95(x1621,x1623,x1624),f95(x1622,x1623,x1624))
% 2.90/2.98 [163]~E(x1631,x1632)+E(f95(x1633,x1631,x1634),f95(x1633,x1632,x1634))
% 2.90/2.98 [164]~E(x1641,x1642)+E(f95(x1643,x1644,x1641),f95(x1643,x1644,x1642))
% 2.90/2.98 [165]~E(x1651,x1652)+E(f57(x1651),f57(x1652))
% 2.90/2.98 [166]~E(x1661,x1662)+E(f130(x1661,x1663),f130(x1662,x1663))
% 2.90/2.98 [167]~E(x1671,x1672)+E(f130(x1673,x1671),f130(x1673,x1672))
% 2.90/2.98 [168]~E(x1681,x1682)+E(f88(x1681,x1683,x1684),f88(x1682,x1683,x1684))
% 2.90/2.98 [169]~E(x1691,x1692)+E(f88(x1693,x1691,x1694),f88(x1693,x1692,x1694))
% 2.90/2.98 [170]~E(x1701,x1702)+E(f88(x1703,x1704,x1701),f88(x1703,x1704,x1702))
% 2.90/2.98 [171]~E(x1711,x1712)+E(f85(x1711,x1713,x1714),f85(x1712,x1713,x1714))
% 2.90/2.98 [172]~E(x1721,x1722)+E(f85(x1723,x1721,x1724),f85(x1723,x1722,x1724))
% 2.90/2.98 [173]~E(x1731,x1732)+E(f85(x1733,x1734,x1731),f85(x1733,x1734,x1732))
% 2.90/2.98 [174]~E(x1741,x1742)+E(f24(x1741,x1743),f24(x1742,x1743))
% 2.90/2.98 [175]~E(x1751,x1752)+E(f24(x1753,x1751),f24(x1753,x1752))
% 2.90/2.98 [176]~E(x1761,x1762)+E(f145(x1761,x1763),f145(x1762,x1763))
% 2.90/2.98 [177]~E(x1771,x1772)+E(f145(x1773,x1771),f145(x1773,x1772))
% 2.90/2.98 [178]~E(x1781,x1782)+E(f156(x1781,x1783),f156(x1782,x1783))
% 2.90/2.98 [179]~E(x1791,x1792)+E(f156(x1793,x1791),f156(x1793,x1792))
% 2.90/2.98 [180]~E(x1801,x1802)+E(f147(x1801,x1803),f147(x1802,x1803))
% 2.90/2.98 [181]~E(x1811,x1812)+E(f147(x1813,x1811),f147(x1813,x1812))
% 2.90/2.98 [182]~E(x1821,x1822)+E(f184(x1821,x1823),f184(x1822,x1823))
% 2.90/2.98 [183]~E(x1831,x1832)+E(f184(x1833,x1831),f184(x1833,x1832))
% 2.90/2.98 [184]~E(x1841,x1842)+E(f159(x1841,x1843),f159(x1842,x1843))
% 2.90/2.98 [185]~E(x1851,x1852)+E(f159(x1853,x1851),f159(x1853,x1852))
% 2.90/2.98 [186]~E(x1861,x1862)+E(f182(x1861,x1863),f182(x1862,x1863))
% 2.90/2.98 [187]~E(x1871,x1872)+E(f182(x1873,x1871),f182(x1873,x1872))
% 2.90/2.98 [188]~E(x1881,x1882)+E(f180(x1881,x1883),f180(x1882,x1883))
% 2.90/2.98 [189]~E(x1891,x1892)+E(f180(x1893,x1891),f180(x1893,x1892))
% 2.90/2.98 [190]~E(x1901,x1902)+E(f20(x1901,x1903),f20(x1902,x1903))
% 2.90/2.98 [191]~E(x1911,x1912)+E(f20(x1913,x1911),f20(x1913,x1912))
% 2.90/2.98 [192]~E(x1921,x1922)+E(f146(x1921,x1923),f146(x1922,x1923))
% 2.90/2.98 [193]~E(x1931,x1932)+E(f146(x1933,x1931),f146(x1933,x1932))
% 2.90/2.98 [194]~E(x1941,x1942)+E(f74(x1941),f74(x1942))
% 2.90/2.98 [195]~E(x1951,x1952)+E(f83(x1951,x1953,x1954),f83(x1952,x1953,x1954))
% 2.90/2.98 [196]~E(x1961,x1962)+E(f83(x1963,x1961,x1964),f83(x1963,x1962,x1964))
% 2.90/2.98 [197]~E(x1971,x1972)+E(f83(x1973,x1974,x1971),f83(x1973,x1974,x1972))
% 2.90/2.98 [198]~E(x1981,x1982)+E(f155(x1981,x1983),f155(x1982,x1983))
% 2.90/2.98 [199]~E(x1991,x1992)+E(f155(x1993,x1991),f155(x1993,x1992))
% 2.90/2.98 [200]~E(x2001,x2002)+E(f198(x2001,x2003),f198(x2002,x2003))
% 2.90/2.98 [201]~E(x2011,x2012)+E(f198(x2013,x2011),f198(x2013,x2012))
% 2.90/2.98 [202]~E(x2021,x2022)+E(f87(x2021,x2023,x2024),f87(x2022,x2023,x2024))
% 2.90/2.98 [203]~E(x2031,x2032)+E(f87(x2033,x2031,x2034),f87(x2033,x2032,x2034))
% 2.90/2.98 [204]~E(x2041,x2042)+E(f87(x2043,x2044,x2041),f87(x2043,x2044,x2042))
% 2.90/2.98 [205]~E(x2051,x2052)+E(f187(x2051,x2053),f187(x2052,x2053))
% 2.90/2.98 [206]~E(x2061,x2062)+E(f187(x2063,x2061),f187(x2063,x2062))
% 2.90/2.98 [207]~E(x2071,x2072)+E(f197(x2071,x2073),f197(x2072,x2073))
% 2.90/2.98 [208]~E(x2081,x2082)+E(f197(x2083,x2081),f197(x2083,x2082))
% 2.90/2.98 [209]~E(x2091,x2092)+E(f86(x2091,x2093),f86(x2092,x2093))
% 2.90/2.98 [210]~E(x2101,x2102)+E(f86(x2103,x2101),f86(x2103,x2102))
% 2.90/2.98 [211]~E(x2111,x2112)+E(f36(x2111),f36(x2112))
% 2.90/2.98 [212]~E(x2121,x2122)+E(f97(x2121,x2123),f97(x2122,x2123))
% 2.90/2.98 [213]~E(x2131,x2132)+E(f97(x2133,x2131),f97(x2133,x2132))
% 2.90/2.98 [214]~E(x2141,x2142)+E(f143(x2141,x2143),f143(x2142,x2143))
% 2.90/2.98 [215]~E(x2151,x2152)+E(f143(x2153,x2151),f143(x2153,x2152))
% 2.90/2.98 [216]~E(x2161,x2162)+E(f78(x2161),f78(x2162))
% 2.90/2.98 [217]~E(x2171,x2172)+E(f92(x2171,x2173),f92(x2172,x2173))
% 2.90/2.98 [218]~E(x2181,x2182)+E(f92(x2183,x2181),f92(x2183,x2182))
% 2.90/2.98 [219]~E(x2191,x2192)+E(f37(x2191),f37(x2192))
% 2.90/2.98 [220]~E(x2201,x2202)+E(f91(x2201,x2203,x2204),f91(x2202,x2203,x2204))
% 2.90/2.98 [221]~E(x2211,x2212)+E(f91(x2213,x2211,x2214),f91(x2213,x2212,x2214))
% 2.90/2.98 [222]~E(x2221,x2222)+E(f91(x2223,x2224,x2221),f91(x2223,x2224,x2222))
% 2.90/2.98 [223]~E(x2231,x2232)+E(f194(x2231,x2233),f194(x2232,x2233))
% 2.90/2.98 [224]~E(x2241,x2242)+E(f194(x2243,x2241),f194(x2243,x2242))
% 2.90/2.98 [225]~E(x2251,x2252)+E(f66(x2251),f66(x2252))
% 2.90/2.98 [226]~E(x2261,x2262)+E(f65(x2261),f65(x2262))
% 2.90/2.98 [227]~E(x2271,x2272)+E(f77(x2271),f77(x2272))
% 2.90/2.98 [228]~E(x2281,x2282)+E(f69(x2281),f69(x2282))
% 2.90/2.98 [229]~E(x2291,x2292)+E(f75(x2291),f75(x2292))
% 2.90/2.98 [230]~E(x2301,x2302)+E(f90(x2301,x2303,x2304),f90(x2302,x2303,x2304))
% 2.90/2.98 [231]~E(x2311,x2312)+E(f90(x2313,x2311,x2314),f90(x2313,x2312,x2314))
% 2.90/2.98 [232]~E(x2321,x2322)+E(f90(x2323,x2324,x2321),f90(x2323,x2324,x2322))
% 2.90/2.98 [233]~E(x2331,x2332)+E(f172(x2331,x2333),f172(x2332,x2333))
% 2.90/2.98 [234]~E(x2341,x2342)+E(f172(x2343,x2341),f172(x2343,x2342))
% 2.90/2.98 [235]~E(x2351,x2352)+E(f72(x2351),f72(x2352))
% 2.90/2.98 [236]~E(x2361,x2362)+E(f73(x2361),f73(x2362))
% 2.90/2.98 [237]~E(x2371,x2372)+E(f56(x2371,x2373),f56(x2372,x2373))
% 2.90/2.98 [238]~E(x2381,x2382)+E(f56(x2383,x2381),f56(x2383,x2382))
% 2.90/2.98 [239]~E(x2391,x2392)+E(f62(x2391),f62(x2392))
% 2.90/2.98 [240]~E(x2401,x2402)+E(f138(x2401,x2403),f138(x2402,x2403))
% 2.90/2.98 [241]~E(x2411,x2412)+E(f138(x2413,x2411),f138(x2413,x2412))
% 2.90/2.98 [242]~E(x2421,x2422)+E(f160(x2421,x2423),f160(x2422,x2423))
% 2.90/2.98 [243]~E(x2431,x2432)+E(f160(x2433,x2431),f160(x2433,x2432))
% 2.90/2.98 [244]~E(x2441,x2442)+E(f45(x2441),f45(x2442))
% 2.90/2.98 [245]~E(x2451,x2452)+E(f96(x2451,x2453,x2454),f96(x2452,x2453,x2454))
% 2.90/2.98 [246]~E(x2461,x2462)+E(f96(x2463,x2461,x2464),f96(x2463,x2462,x2464))
% 2.90/2.98 [247]~E(x2471,x2472)+E(f96(x2473,x2474,x2471),f96(x2473,x2474,x2472))
% 2.90/2.98 [248]~E(x2481,x2482)+E(f98(x2481,x2483,x2484),f98(x2482,x2483,x2484))
% 2.90/2.98 [249]~E(x2491,x2492)+E(f98(x2493,x2491,x2494),f98(x2493,x2492,x2494))
% 2.90/2.98 [250]~E(x2501,x2502)+E(f98(x2503,x2504,x2501),f98(x2503,x2504,x2502))
% 2.90/2.98 [251]~E(x2511,x2512)+E(f68(x2511),f68(x2512))
% 2.90/2.98 [252]~E(x2521,x2522)+E(f71(x2521),f71(x2522))
% 2.90/2.98 [253]~E(x2531,x2532)+E(f183(x2531,x2533),f183(x2532,x2533))
% 2.90/2.98 [254]~E(x2541,x2542)+E(f183(x2543,x2541),f183(x2543,x2542))
% 2.90/2.98 [255]~E(x2551,x2552)+E(f189(x2551,x2553),f189(x2552,x2553))
% 2.90/2.98 [256]~E(x2561,x2562)+E(f189(x2563,x2561),f189(x2563,x2562))
% 2.90/2.98 [257]~E(x2571,x2572)+E(f101(x2571),f101(x2572))
% 2.90/2.98 [258]~E(x2581,x2582)+E(f58(x2581,x2583),f58(x2582,x2583))
% 2.90/2.98 [259]~E(x2591,x2592)+E(f58(x2593,x2591),f58(x2593,x2592))
% 2.90/2.98 [260]~E(x2601,x2602)+E(f94(x2601,x2603,x2604),f94(x2602,x2603,x2604))
% 2.90/2.98 [261]~E(x2611,x2612)+E(f94(x2613,x2611,x2614),f94(x2613,x2612,x2614))
% 2.90/2.98 [262]~E(x2621,x2622)+E(f94(x2623,x2624,x2621),f94(x2623,x2624,x2622))
% 2.90/2.98 [263]~E(x2631,x2632)+E(f49(x2631),f49(x2632))
% 2.90/2.98 [264]~E(x2641,x2642)+E(f67(x2641),f67(x2642))
% 2.90/2.98 [265]~E(x2651,x2652)+E(f81(x2651),f81(x2652))
% 2.90/2.98 [266]~E(x2661,x2662)+E(f181(x2661,x2663),f181(x2662,x2663))
% 2.90/2.98 [267]~E(x2671,x2672)+E(f181(x2673,x2671),f181(x2673,x2672))
% 2.90/2.98 [268]~E(x2681,x2682)+E(f79(x2681),f79(x2682))
% 2.90/2.98 [269]~E(x2691,x2692)+E(f89(x2691,x2693,x2694),f89(x2692,x2693,x2694))
% 2.90/2.98 [270]~E(x2701,x2702)+E(f89(x2703,x2701,x2704),f89(x2703,x2702,x2704))
% 2.90/2.98 [271]~E(x2711,x2712)+E(f89(x2713,x2714,x2711),f89(x2713,x2714,x2712))
% 2.90/2.98 [272]~E(x2721,x2722)+E(f84(x2721,x2723,x2724),f84(x2722,x2723,x2724))
% 2.90/2.98 [273]~E(x2731,x2732)+E(f84(x2733,x2731,x2734),f84(x2733,x2732,x2734))
% 2.90/2.98 [274]~E(x2741,x2742)+E(f84(x2743,x2744,x2741),f84(x2743,x2744,x2742))
% 2.90/2.98 [275]~E(x2751,x2752)+E(f188(x2751,x2753),f188(x2752,x2753))
% 2.90/2.98 [276]~E(x2761,x2762)+E(f188(x2763,x2761),f188(x2763,x2762))
% 2.90/2.98 [277]~E(x2771,x2772)+E(f32(x2771),f32(x2772))
% 2.90/2.98 [278]~E(x2781,x2782)+E(f35(x2781),f35(x2782))
% 2.90/2.98 [279]~E(x2791,x2792)+E(f99(x2791),f99(x2792))
% 2.90/2.98 [280]~E(x2801,x2802)+E(f61(x2801),f61(x2802))
% 2.90/2.98 [281]~E(x2811,x2812)+E(f100(x2811),f100(x2812))
% 2.90/2.98 [282]~E(x2821,x2822)+E(f80(x2821),f80(x2822))
% 2.90/2.98 [283]~E(x2831,x2832)+E(f70(x2831),f70(x2832))
% 2.90/2.98 [284]~E(x2841,x2842)+E(f196(x2841,x2843),f196(x2842,x2843))
% 2.90/2.98 [285]~E(x2851,x2852)+E(f196(x2853,x2851),f196(x2853,x2852))
% 2.90/2.98 [286]~E(x2861,x2862)+E(f82(x2861),f82(x2862))
% 2.90/2.98 [287]~E(x2871,x2872)+E(f211(x2871),f211(x2872))
% 2.90/2.98 [288]~P1(x2881)+P1(x2882)+~E(x2881,x2882)
% 2.90/2.98 [289]~P2(x2891)+P2(x2892)+~E(x2891,x2892)
% 2.90/2.98 [290]~P4(x2901)+P4(x2902)+~E(x2901,x2902)
% 2.90/2.98 [291]~P3(x2911)+P3(x2912)+~E(x2911,x2912)
% 2.90/2.98 [292]~P5(x2921)+P5(x2922)+~E(x2921,x2922)
% 2.90/2.98
% 2.90/2.98 %-------------------------------------------
% 2.99/2.98 cnf(881,plain,
% 2.99/2.98 (P4(f139(f151(a190,x8811),f50(f52(f23(a107,f168(f26(a111),x8812)),f161(f27(a200),x8811)))))),
% 2.99/2.98 inference(rename_variables,[],[400])).
% 2.99/2.98 cnf(887,plain,
% 2.99/2.98 (P4(f163(f158(a191,x8871),f53(f25(a107,f123(f29(a110),x8872)),f165(f30(a193),x8871))))),
% 2.99/2.98 inference(rename_variables,[],[393])).
% 2.99/2.98 cnf(890,plain,
% 2.99/2.98 (P4(f163(f158(a191,x8901),f53(f25(a107,f123(f29(a110),x8902)),f165(f30(a193),x8901))))),
% 2.99/2.98 inference(rename_variables,[],[393])).
% 2.99/2.98 cnf(925,plain,
% 2.99/2.98 (P4(f163(f158(a191,x9251),x9251))),
% 2.99/2.98 inference(rename_variables,[],[349])).
% 2.99/2.98 cnf(928,plain,
% 2.99/2.98 (P4(f163(f158(a191,x9281),x9281))),
% 2.99/2.98 inference(rename_variables,[],[349])).
% 2.99/2.98 cnf(931,plain,
% 2.99/2.98 (P4(f163(f158(a191,x9311),x9311))),
% 2.99/2.98 inference(rename_variables,[],[349])).
% 2.99/2.98 cnf(934,plain,
% 2.99/2.98 (P4(f163(f158(a191,x9341),x9341))),
% 2.99/2.98 inference(rename_variables,[],[349])).
% 2.99/2.98 cnf(940,plain,
% 2.99/2.98 (P4(f139(f151(a190,x9401),x9401))),
% 2.99/2.98 inference(rename_variables,[],[348])).
% 2.99/2.98 cnf(943,plain,
% 2.99/2.98 (P4(f139(f151(a190,x9431),x9431))),
% 2.99/2.98 inference(rename_variables,[],[348])).
% 2.99/2.98 cnf(946,plain,
% 2.99/2.98 (P4(f139(f151(a190,x9461),x9461))),
% 2.99/2.98 inference(rename_variables,[],[348])).
% 2.99/2.98 cnf(949,plain,
% 2.99/2.98 (P4(f139(f151(a190,x9491),x9491))),
% 2.99/2.98 inference(rename_variables,[],[348])).
% 2.99/2.98 cnf(952,plain,
% 2.99/2.98 (P4(f139(f151(a190,x9521),x9521))),
% 2.99/2.98 inference(rename_variables,[],[348])).
% 2.99/2.98 cnf(960,plain,
% 2.99/2.98 (P4(f163(f158(a191,x9601),f53(f25(a107,f123(f29(a110),x9602)),f165(f30(a193),x9601))))),
% 2.99/2.98 inference(rename_variables,[],[393])).
% 2.99/2.98 cnf(963,plain,
% 2.99/2.98 (P4(f163(f158(a191,x9631),f53(f25(a107,f123(f29(a110),x9632)),f165(f30(a193),x9631))))),
% 2.99/2.98 inference(rename_variables,[],[393])).
% 2.99/2.98 cnf(976,plain,
% 2.99/2.98 (~P4(f212(a213))),
% 2.99/2.98 inference(scs_inference,[],[418,295,302,303,304,293,319,320,321,322,323,324,325,305,306,307,415,392,326,331,314,348,940,943,946,949,952,349,925,928,931,934,345,406,414,417,393,887,890,960,963,394,399,400,881,2,497,495,730,729,728,727,642,641,638,500,425,422,843,842,829,828,628,599,593,592,578,577,734,688,768,703,290,289,288,3,506,505,665,664,663,662,661,660,659,658,657,656,655,700,696,622,621,626,714,717,788])).
% 2.99/2.98 cnf(1779,plain,
% 2.99/2.98 (~E(f122(a6,x17791),f208(x17792))+P4(f212(x17792))),
% 2.99/2.98 inference(scs_inference,[],[303,479])).
% 2.99/2.98 cnf(1784,plain,
% 2.99/2.98 ($false),
% 2.99/2.98 inference(scs_inference,[],[313,976,1779]),
% 2.99/2.98 ['proof']).
% 2.99/2.99 % SZS output end Proof
% 2.99/2.99 % Total time :2.240000s
%------------------------------------------------------------------------------