0.07/0.15 % Problem : Vampire---4.8_8076 : TPTP v0.0.0. Released v0.0.0. 0.07/0.16 % Command : do_cvc5 %s %d 0.15/0.37 % Computer : n017.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1440 0.15/0.37 % WCLimit : 180 0.15/0.37 % DateTime : Mon Jul 3 12:33:53 EDT 2023 0.15/0.37 % CPUTime : 0.41/0.56 %----Proving TH0 0.41/0.57 thf(typ_is_of,type, 0.41/0.57 is_of: $i > ( $i > $o ) > $o ). 0.41/0.57 0.41/0.57 thf(def_is_of,definition, 0.41/0.57 ( is_of 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_all_of,type, 0.41/0.57 all_of: ( $i > $o ) > ( $i > $o ) > $o ). 0.41/0.57 0.41/0.57 thf(def_all_of,definition, 0.41/0.57 ( all_of 0.41/0.57 = ( ^ [X0: $i > $o,X1: $i > $o] : 0.41/0.57 ! [X2: $i] : 0.41/0.57 ( ( is_of @ X2 @ X0 ) 0.41/0.57 => ( X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_eps,type, 0.41/0.57 eps: ( $i > $o ) > $i ). 0.41/0.57 0.41/0.57 thf(typ_in,type, 0.41/0.57 in: $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(typ_d_Subq,type, 0.41/0.57 d_Subq: $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_d_Subq,definition, 0.41/0.57 ( d_Subq 0.41/0.57 = ( ^ [X0: $i,X1: $i] : 0.41/0.57 ! [X2: $i] : 0.41/0.57 ( ( in @ X2 @ X0 ) 0.41/0.57 => ( in @ X2 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_emptyset,type, 0.41/0.57 emptyset: $i ). 0.41/0.57 0.41/0.57 thf(typ_union,type, 0.41/0.57 union: $i > $i ). 0.41/0.57 0.41/0.57 thf(typ_power,type, 0.41/0.57 power: $i > $i ). 0.41/0.57 0.41/0.57 thf(typ_repl,type, 0.41/0.57 repl: $i > ( $i > $i ) > $i ). 0.41/0.57 0.41/0.57 thf(typ_d_Union_closed,type, 0.41/0.57 d_Union_closed: $i > $o ). 0.41/0.57 0.41/0.57 thf(def_d_Union_closed,definition, 0.41/0.57 ( d_Union_closed 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ! [X1: $i] : 0.41/0.57 ( ( in @ X1 @ X0 ) 0.41/0.57 => ( in @ ( union @ X1 ) @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Power_closed,type, 0.41/0.57 d_Power_closed: $i > $o ). 0.41/0.57 0.41/0.57 thf(def_d_Power_closed,definition, 0.41/0.57 ( d_Power_closed 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ! [X1: $i] : 0.41/0.57 ( ( in @ X1 @ X0 ) 0.41/0.57 => ( in @ ( power @ X1 ) @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Repl_closed,type, 0.41/0.57 d_Repl_closed: $i > $o ). 0.41/0.57 0.41/0.57 thf(def_d_Repl_closed,definition, 0.41/0.57 ( d_Repl_closed 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ! [X1: $i] : 0.41/0.57 ( ( in @ X1 @ X0 ) 0.41/0.57 => ! [X2: $i > $i] : 0.41/0.57 ( ! [X3: $i] : 0.41/0.57 ( ( in @ X3 @ X1 ) 0.41/0.57 => ( in @ ( X2 @ X3 ) @ X0 ) ) 0.41/0.57 => ( in @ ( repl @ X1 @ X2 ) @ X0 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_ZF_closed,type, 0.41/0.57 d_ZF_closed: $i > $o ). 0.41/0.57 0.41/0.57 thf(def_d_ZF_closed,definition, 0.41/0.57 ( d_ZF_closed 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ( ( d_Union_closed @ X0 ) 0.41/0.57 & ( d_Power_closed @ X0 ) 0.41/0.57 & ( d_Repl_closed @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_univof,type, 0.41/0.57 univof: $i > $i ). 0.41/0.57 0.41/0.57 thf(typ_if,type, 0.41/0.57 if: $o > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_if,definition, 0.41/0.57 ( if 0.41/0.57 = ( ^ [X0: $o,X1: $i,X2: $i] : 0.41/0.57 ( eps 0.41/0.57 @ ^ [X3: $i] : 0.41/0.57 ( ( X0 0.41/0.57 & ( X3 = X1 ) ) 0.41/0.57 | ( ~ X0 0.41/0.57 & ( X3 = X2 ) ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_nIn,type, 0.41/0.57 nIn: $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_nIn,definition, 0.41/0.57 ( nIn 0.41/0.57 = ( ^ [X0: $i,X1: $i] : 0.41/0.57 ~ ( in @ X0 @ X1 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_UPair,type, 0.41/0.57 d_UPair: $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_UPair,definition, 0.41/0.57 ( d_UPair 0.41/0.57 = ( ^ [X0: $i,X1: $i] : 0.41/0.57 ( repl @ ( power @ ( power @ emptyset ) ) 0.41/0.57 @ ^ [X2: $i] : ( if @ ( in @ emptyset @ X2 ) @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Sing,type, 0.41/0.57 d_Sing: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Sing,definition, 0.41/0.57 ( d_Sing 0.41/0.57 = ( ^ [X0: $i] : ( d_UPair @ X0 @ X0 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_binunion,type, 0.41/0.57 binunion: $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_binunion,definition, 0.41/0.57 ( binunion 0.41/0.57 = ( ^ [X0: $i,X1: $i] : ( union @ ( d_UPair @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_famunion,type, 0.41/0.57 famunion: $i > ( $i > $i ) > $i ). 0.41/0.57 0.41/0.57 thf(def_famunion,definition, 0.41/0.57 ( famunion 0.41/0.57 = ( ^ [X0: $i,X1: $i > $i] : ( union @ ( repl @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Sep,type, 0.41/0.57 d_Sep: $i > ( $i > $o ) > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Sep,definition, 0.41/0.57 ( d_Sep 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : 0.41/0.57 ( if 0.41/0.57 @ ? [X2: $i] : 0.41/0.57 ( ( in @ X2 @ X0 ) 0.41/0.57 & ( X1 @ X2 ) ) 0.41/0.57 @ ( repl @ X0 0.41/0.57 @ ^ [X2: $i] : 0.41/0.57 ( if @ ( X1 @ X2 ) @ X2 0.41/0.57 @ ( eps 0.41/0.57 @ ^ [X3: $i] : 0.41/0.57 ( ( in @ X3 @ X0 ) 0.41/0.57 & ( X1 @ X3 ) ) ) ) ) 0.41/0.57 @ emptyset ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_ReplSep,type, 0.41/0.57 d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ). 0.41/0.57 0.41/0.57 thf(def_d_ReplSep,definition, 0.41/0.57 ( d_ReplSep 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : ( repl @ ( d_Sep @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_setminus,type, 0.41/0.57 setminus: $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_setminus,definition, 0.41/0.57 ( setminus 0.41/0.57 = ( ^ [X0: $i,X1: $i] : 0.41/0.57 ( d_Sep @ X0 0.41/0.57 @ ^ [X2: $i] : ( nIn @ X2 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_In_rec_G,type, 0.41/0.57 d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_d_In_rec_G,definition, 0.41/0.57 ( d_In_rec_G 0.41/0.57 = ( ^ [X0: $i > ( $i > $i ) > $i,X1: $i,X2: $i] : 0.41/0.57 ! [X3: $i > $i > $o] : 0.41/0.57 ( ! [X4: $i,X5: $i > $i] : 0.41/0.57 ( ! [X6: $i] : 0.41/0.57 ( ( in @ X6 @ X4 ) 0.41/0.57 => ( X3 @ X6 @ ( X5 @ X6 ) ) ) 0.41/0.57 => ( X3 @ X4 @ ( X0 @ X4 @ X5 ) ) ) 0.41/0.57 => ( X3 @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_In_rec,type, 0.41/0.57 d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_In_rec,definition, 0.41/0.57 ( d_In_rec 0.41/0.57 = ( ^ [X0: $i > ( $i > $i ) > $i,X1: $i] : ( eps @ ( d_In_rec_G @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_ordsucc,type, 0.41/0.57 ordsucc: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_ordsucc,definition, 0.41/0.57 ( ordsucc 0.41/0.57 = ( ^ [X0: $i] : ( binunion @ X0 @ ( d_Sing @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_nat_p,type, 0.41/0.57 nat_p: $i > $o ). 0.41/0.57 0.41/0.57 thf(def_nat_p,definition, 0.41/0.57 ( nat_p 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ! [X1: $i > $o] : 0.41/0.57 ( ( X1 @ emptyset ) 0.41/0.57 => ( ! [X2: $i] : 0.41/0.57 ( ( X1 @ X2 ) 0.41/0.57 => ( X1 @ ( ordsucc @ X2 ) ) ) 0.41/0.57 => ( X1 @ X0 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_omega,type, 0.41/0.57 omega: $i ). 0.41/0.57 0.41/0.57 thf(def_omega,definition, 0.41/0.57 ( omega 0.41/0.57 = ( d_Sep @ ( univof @ emptyset ) @ nat_p ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Inj1,type, 0.41/0.57 d_Inj1: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Inj1,definition, 0.41/0.57 ( d_Inj1 0.41/0.57 = ( d_In_rec 0.41/0.57 @ ^ [X0: $i,X1: $i > $i] : ( binunion @ ( d_Sing @ emptyset ) @ ( repl @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Inj0,type, 0.41/0.57 d_Inj0: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Inj0,definition, 0.41/0.57 ( d_Inj0 0.41/0.57 = ( ^ [X0: $i] : ( repl @ X0 @ d_Inj1 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Unj,type, 0.41/0.57 d_Unj: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Unj,definition, 0.41/0.57 ( d_Unj 0.41/0.57 = ( d_In_rec 0.41/0.57 @ ^ [X0: $i] : ( repl @ ( setminus @ X0 @ ( d_Sing @ emptyset ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_pair,type, 0.41/0.57 pair: $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_pair,definition, 0.41/0.57 ( pair 0.41/0.57 = ( ^ [X0: $i,X1: $i] : ( binunion @ ( repl @ X0 @ d_Inj0 ) @ ( repl @ X1 @ d_Inj1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_proj0,type, 0.41/0.57 proj0: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_proj0,definition, 0.41/0.57 ( proj0 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ( d_ReplSep @ X0 0.41/0.57 @ ^ [X1: $i] : 0.41/0.57 ? [X2: $i] : 0.41/0.57 ( ( d_Inj0 @ X2 ) 0.41/0.57 = X1 ) 0.41/0.57 @ d_Unj ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_proj1,type, 0.41/0.57 proj1: $i > $i ). 0.41/0.57 0.41/0.57 thf(def_proj1,definition, 0.41/0.57 ( proj1 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ( d_ReplSep @ X0 0.41/0.57 @ ^ [X1: $i] : 0.41/0.57 ? [X2: $i] : 0.41/0.57 ( ( d_Inj1 @ X2 ) 0.41/0.57 = X1 ) 0.41/0.57 @ d_Unj ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Sigma,type, 0.41/0.57 d_Sigma: $i > ( $i > $i ) > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Sigma,definition, 0.41/0.57 ( d_Sigma 0.41/0.57 = ( ^ [X0: $i,X1: $i > $i] : 0.41/0.57 ( famunion @ X0 0.41/0.57 @ ^ [X2: $i] : ( repl @ ( X1 @ X2 ) @ ( pair @ X2 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_setprod,type, 0.41/0.57 setprod: $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_setprod,definition, 0.41/0.57 ( setprod 0.41/0.57 = ( ^ [X0: $i,X1: $i] : 0.41/0.57 ( d_Sigma @ X0 0.41/0.57 @ ^ [X2: $i] : X1 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_ap,type, 0.41/0.57 ap: $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_ap,definition, 0.41/0.57 ( ap 0.41/0.57 = ( ^ [X0: $i,X1: $i] : 0.41/0.57 ( d_ReplSep @ X0 0.41/0.57 @ ^ [X2: $i] : 0.41/0.57 ? [X3: $i] : 0.41/0.57 ( X2 0.41/0.57 = ( pair @ X1 @ X3 ) ) 0.41/0.57 @ proj1 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_pair_p,type, 0.41/0.57 pair_p: $i > $o ). 0.41/0.57 0.41/0.57 thf(def_pair_p,definition, 0.41/0.57 ( pair_p 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ( ( pair @ ( ap @ X0 @ emptyset ) @ ( ap @ X0 @ ( ordsucc @ emptyset ) ) ) 0.41/0.57 = X0 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_Pi,type, 0.41/0.57 d_Pi: $i > ( $i > $i ) > $i ). 0.41/0.57 0.41/0.57 thf(def_d_Pi,definition, 0.41/0.57 ( d_Pi 0.41/0.57 = ( ^ [X0: $i,X1: $i > $i] : 0.41/0.57 ( d_Sep 0.41/0.57 @ ( power 0.41/0.57 @ ( d_Sigma @ X0 0.41/0.57 @ ^ [X2: $i] : ( union @ ( X1 @ X2 ) ) ) ) 0.41/0.57 @ ^ [X2: $i] : 0.41/0.57 ! [X3: $i] : 0.41/0.57 ( ( in @ X3 @ X0 ) 0.41/0.57 => ( in @ ( ap @ X2 @ X3 ) @ ( X1 @ X3 ) ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_imp,type, 0.41/0.57 imp: $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_imp,definition, 0.41/0.57 ( imp 0.41/0.57 = ( ^ [X0: $o,X1: $o] : 0.41/0.57 ( X0 0.41/0.57 => X1 ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_not,type, 0.41/0.57 d_not: $o > $o ). 0.41/0.57 0.41/0.57 thf(def_d_not,definition, 0.41/0.57 ( d_not 0.41/0.57 = ( ^ [X0: $o] : ( imp @ X0 @ $false ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_wel,type, 0.41/0.57 wel: $o > $o ). 0.41/0.57 0.41/0.57 thf(def_wel,definition, 0.41/0.57 ( wel 0.41/0.57 = ( ^ [X0: $o] : ( d_not @ ( d_not @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_obvious,type, 0.41/0.57 obvious: $o ). 0.41/0.57 0.41/0.57 thf(def_obvious,definition, 0.41/0.57 ( obvious 0.41/0.57 = ( imp @ $false @ $false ) ) ). 0.41/0.57 0.41/0.57 thf(typ_l_ec,type, 0.41/0.57 l_ec: $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_l_ec,definition, 0.41/0.57 ( l_ec 0.41/0.57 = ( ^ [X0: $o,X1: $o] : ( imp @ X0 @ ( d_not @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_and,type, 0.41/0.57 d_and: $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_d_and,definition, 0.41/0.57 ( d_and 0.41/0.57 = ( ^ [X0: $o,X1: $o] : ( d_not @ ( l_ec @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_l_or,type, 0.41/0.57 l_or: $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_l_or,definition, 0.41/0.57 ( l_or 0.41/0.57 = ( ^ [X0: $o] : ( imp @ ( d_not @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_orec,type, 0.41/0.57 orec: $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_orec,definition, 0.41/0.57 ( orec 0.41/0.57 = ( ^ [X0: $o,X1: $o] : ( d_and @ ( l_or @ X0 @ X1 ) @ ( l_ec @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_l_iff,type, 0.41/0.57 l_iff: $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_l_iff,definition, 0.41/0.57 ( l_iff 0.41/0.57 = ( ^ [X0: $o,X1: $o] : ( d_and @ ( imp @ X0 @ X1 ) @ ( imp @ X1 @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_all,type, 0.41/0.57 all: $i > ( $i > $o ) > $o ). 0.41/0.57 0.41/0.57 thf(def_all,definition, 0.41/0.57 ( all 0.41/0.57 = ( ^ [X0: $i] : 0.41/0.57 ( all_of 0.41/0.57 @ ^ [X1: $i] : ( in @ X1 @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_non,type, 0.41/0.57 non: $i > ( $i > $o ) > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_non,definition, 0.41/0.57 ( non 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o,X2: $i] : ( d_not @ ( X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_l_some,type, 0.41/0.57 l_some: $i > ( $i > $o ) > $o ). 0.41/0.57 0.41/0.57 thf(def_l_some,definition, 0.41/0.57 ( l_some 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : 0.41/0.57 ( d_not 0.41/0.57 @ ( all_of 0.41/0.57 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.57 @ ( non @ X0 @ X1 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_or3,type, 0.41/0.57 or3: $o > $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_or3,definition, 0.41/0.57 ( or3 0.41/0.57 = ( ^ [X0: $o,X1: $o,X2: $o] : ( l_or @ X0 @ ( l_or @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_and3,type, 0.41/0.57 and3: $o > $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_and3,definition, 0.41/0.57 ( and3 0.41/0.57 = ( ^ [X0: $o,X1: $o,X2: $o] : ( d_and @ X0 @ ( d_and @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_ec3,type, 0.41/0.57 ec3: $o > $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_ec3,definition, 0.41/0.57 ( ec3 0.41/0.57 = ( ^ [X0: $o,X1: $o,X2: $o] : ( and3 @ ( l_ec @ X0 @ X1 ) @ ( l_ec @ X1 @ X2 ) @ ( l_ec @ X2 @ X0 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_orec3,type, 0.41/0.57 orec3: $o > $o > $o > $o ). 0.41/0.57 0.41/0.57 thf(def_orec3,definition, 0.41/0.57 ( orec3 0.41/0.57 = ( ^ [X0: $o,X1: $o,X2: $o] : ( d_and @ ( or3 @ X0 @ X1 @ X2 ) @ ( ec3 @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_e_is,type, 0.41/0.57 e_is: $i > $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_e_is,definition, 0.41/0.57 ( e_is 0.41/0.57 = ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_amone,type, 0.41/0.57 amone: $i > ( $i > $o ) > $o ). 0.41/0.57 0.41/0.57 thf(def_amone,definition, 0.41/0.57 ( amone 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : 0.41/0.57 ( all_of 0.41/0.57 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.57 @ ^ [X2: $i] : 0.41/0.57 ( all_of 0.41/0.57 @ ^ [X3: $i] : ( in @ X3 @ X0 ) 0.41/0.57 @ ^ [X3: $i] : 0.41/0.57 ( ( X1 @ X2 ) 0.41/0.57 => ( ( X1 @ X3 ) 0.41/0.57 => ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_one,type, 0.41/0.57 one: $i > ( $i > $o ) > $o ). 0.41/0.57 0.41/0.57 thf(def_one,definition, 0.41/0.57 ( one 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : ( d_and @ ( amone @ X0 @ X1 ) @ ( l_some @ X0 @ X1 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_ind,type, 0.41/0.57 ind: $i > ( $i > $o ) > $i ). 0.41/0.57 0.41/0.57 thf(def_ind,definition, 0.41/0.57 ( ind 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : 0.41/0.57 ( eps 0.41/0.57 @ ^ [X2: $i] : 0.41/0.57 ( ( in @ X2 @ X0 ) 0.41/0.57 & ( X1 @ X2 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_injective,type, 0.41/0.57 injective: $i > $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_injective,definition, 0.41/0.57 ( injective 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i] : 0.41/0.57 ( all @ X0 0.41/0.57 @ ^ [X3: $i] : 0.41/0.57 ( all @ X0 0.41/0.57 @ ^ [X4: $i] : ( imp @ ( e_is @ X1 @ ( ap @ X2 @ X3 ) @ ( ap @ X2 @ X4 ) ) @ ( e_is @ X0 @ X3 @ X4 ) ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_image,type, 0.41/0.57 image: $i > $i > $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_image,definition, 0.41/0.57 ( image 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] : 0.41/0.57 ( l_some @ X0 0.41/0.57 @ ^ [X4: $i] : ( e_is @ X1 @ X3 @ ( ap @ X2 @ X4 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_tofs,type, 0.41/0.57 tofs: $i > $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_tofs,definition, 0.41/0.57 ( tofs 0.41/0.57 = ( ^ [X0: $i,X1: $i] : ap ) ) ). 0.41/0.57 0.41/0.57 thf(typ_soft,type, 0.41/0.57 soft: $i > $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_soft,definition, 0.41/0.57 ( soft 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] : 0.41/0.57 ( ind @ X0 0.41/0.57 @ ^ [X4: $i] : ( e_is @ X1 @ X3 @ ( ap @ X2 @ X4 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_inverse,type, 0.41/0.57 inverse: $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_inverse,definition, 0.41/0.57 ( inverse 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i] : 0.41/0.57 ( d_Sigma @ X1 0.41/0.57 @ ^ [X3: $i] : ( if @ ( image @ X0 @ X1 @ X2 @ X3 ) @ ( soft @ X0 @ X1 @ X2 @ X3 ) @ emptyset ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_surjective,type, 0.41/0.57 surjective: $i > $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_surjective,definition, 0.41/0.57 ( surjective 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i] : ( all @ X1 @ ( image @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_bijective,type, 0.41/0.57 bijective: $i > $i > $i > $o ). 0.41/0.57 0.41/0.57 thf(def_bijective,definition, 0.41/0.57 ( bijective 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i] : ( d_and @ ( injective @ X0 @ X1 @ X2 ) @ ( surjective @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_invf,type, 0.41/0.57 invf: $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_invf,definition, 0.41/0.57 ( invf 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i] : ( d_Sigma @ X1 @ ( soft @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_inj_h,type, 0.41/0.57 inj_h: $i > $i > $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_inj_h,definition, 0.41/0.57 ( inj_h 0.41/0.57 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : 0.41/0.57 ( d_Sigma @ X0 0.41/0.57 @ ^ [X5: $i] : ( ap @ X4 @ ( ap @ X3 @ X5 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_e_in,type, 0.41/0.57 e_in: $i > ( $i > $o ) > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_e_in,definition, 0.41/0.57 ( e_in 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o,X2: $i] : X2 ) ) ). 0.41/0.57 0.41/0.57 thf(typ_out,type, 0.41/0.57 out: $i > ( $i > $o ) > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_out,definition, 0.41/0.57 ( out 0.41/0.57 = ( ^ [X0: $i,X1: $i > $o] : ( soft @ ( d_Sep @ X0 @ X1 ) @ X0 @ ( d_Sigma @ ( d_Sep @ X0 @ X1 ) @ ( e_in @ X0 @ X1 ) ) ) ) ) ). 0.41/0.57 0.41/0.57 thf(typ_d_pair,type, 0.41/0.57 d_pair: $i > $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_d_pair,definition, 0.41/0.57 ( d_pair 0.41/0.57 = ( ^ [X0: $i,X1: $i] : pair ) ) ). 0.41/0.57 0.41/0.57 thf(typ_first,type, 0.41/0.57 first: $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_first,definition, 0.41/0.57 ( first 0.41/0.57 = ( ^ [X0: $i,X1: $i] : proj0 ) ) ). 0.41/0.57 0.41/0.57 thf(typ_second,type, 0.41/0.57 second: $i > $i > $i > $i ). 0.41/0.57 0.41/0.57 thf(def_second,definition, 0.41/0.57 ( second 0.41/0.57 = ( ^ [X0: $i,X1: $i] : proj1 ) ) ). 0.41/0.57 0.41/0.57 thf(typ_prop1,type, 0.41/0.57 prop1: $o > $i > $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_prop1,definition, 0.41/0.58 ( prop1 0.41/0.58 = ( ^ [X0: $o,X1: $i,X2: $i,X3: $i,X4: $i] : ( d_and @ ( imp @ X0 @ ( e_is @ X1 @ X4 @ X2 ) ) @ ( imp @ ( d_not @ X0 ) @ ( e_is @ X1 @ X4 @ X3 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ite,type, 0.41/0.58 ite: $o > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_ite,definition, 0.41/0.58 ( ite 0.41/0.58 = ( ^ [X0: $o,X1: $i,X2: $i,X3: $i] : ( ind @ X1 @ ( prop1 @ X0 @ X1 @ X2 @ X3 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_wissel_wa,type, 0.41/0.58 wissel_wa: $i > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_wissel_wa,definition, 0.41/0.58 ( wissel_wa 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] : ( ite @ ( e_is @ X0 @ X3 @ X1 ) @ X0 @ X2 @ X3 ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_wissel_wb,type, 0.41/0.58 wissel_wb: $i > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_wissel_wb,definition, 0.41/0.58 ( wissel_wb 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] : ( ite @ ( e_is @ X0 @ X3 @ X2 ) @ X0 @ X1 @ ( wissel_wa @ X0 @ X1 @ X2 @ X3 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_wissel,type, 0.41/0.58 wissel: $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_wissel,definition, 0.41/0.58 ( wissel 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i] : ( d_Sigma @ X0 @ ( wissel_wb @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_changef,type, 0.41/0.58 changef: $i > $i > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_changef,definition, 0.41/0.58 ( changef 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : 0.41/0.58 ( d_Sigma @ X0 0.41/0.58 @ ^ [X5: $i] : ( ap @ X2 @ ( ap @ ( wissel @ X0 @ X3 @ X4 ) @ X5 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_r_ec,type, 0.41/0.58 r_ec: $o > $o > $o ). 0.41/0.58 0.41/0.58 thf(def_r_ec,definition, 0.41/0.58 ( r_ec 0.41/0.58 = ( ^ [X0: $o,X1: $o] : 0.41/0.58 ( X0 0.41/0.58 => ( d_not @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_esti,type, 0.41/0.58 esti: $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_esti,definition, 0.41/0.58 ( esti 0.41/0.58 = ( ^ [X0: $i] : in ) ) ). 0.41/0.58 0.41/0.58 thf(typ_empty,type, 0.41/0.58 empty: $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_empty,definition, 0.41/0.58 ( empty 0.41/0.58 = ( ^ [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ( non @ X0 0.41/0.58 @ ^ [X2: $i] : ( esti @ X0 @ X2 @ X1 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_nonempty,type, 0.41/0.58 nonempty: $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_nonempty,definition, 0.41/0.58 ( nonempty 0.41/0.58 = ( ^ [X0: $i,X1: $i] : 0.41/0.58 ( l_some @ X0 0.41/0.58 @ ^ [X2: $i] : ( esti @ X0 @ X2 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_incl,type, 0.41/0.58 incl: $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_incl,definition, 0.41/0.58 ( incl 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i] : 0.41/0.58 ( all @ X0 0.41/0.58 @ ^ [X3: $i] : ( imp @ ( esti @ X0 @ X3 @ X1 ) @ ( esti @ X0 @ X3 @ X2 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_st_disj,type, 0.41/0.58 st_disj: $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_st_disj,definition, 0.41/0.58 ( st_disj 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i] : 0.41/0.58 ( all @ X0 0.41/0.58 @ ^ [X3: $i] : ( l_ec @ ( esti @ X0 @ X3 @ X1 ) @ ( esti @ X0 @ X3 @ X2 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_nissetprop,type, 0.41/0.58 nissetprop: $i > $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_nissetprop,definition, 0.41/0.58 ( nissetprop 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] : ( d_and @ ( esti @ X0 @ X3 @ X1 ) @ ( d_not @ ( esti @ X0 @ X3 @ X2 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_unmore,type, 0.41/0.58 unmore: $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_unmore,definition, 0.41/0.58 ( unmore 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i] : 0.41/0.58 ( d_Sep @ X0 0.41/0.58 @ ^ [X3: $i] : 0.41/0.58 ( l_some @ X1 0.41/0.58 @ ^ [X4: $i] : ( esti @ X0 @ X3 @ ( ap @ X2 @ X4 ) ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ecelt,type, 0.41/0.58 ecelt: $i > ( $i > $i > $o ) > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_ecelt,definition, 0.41/0.58 ( ecelt 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i] : ( d_Sep @ X0 @ ( X1 @ X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ecp,type, 0.41/0.58 ecp: $i > ( $i > $i > $o ) > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_ecp,definition, 0.41/0.58 ( ecp 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] : ( e_is @ ( power @ X0 ) @ X2 @ ( ecelt @ X0 @ X1 @ X3 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_anec,type, 0.41/0.58 anec: $i > ( $i > $i > $o ) > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_anec,definition, 0.41/0.58 ( anec 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i] : ( l_some @ X0 @ ( ecp @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ect,type, 0.41/0.58 ect: $i > ( $i > $i > $o ) > $i ). 0.41/0.58 0.41/0.58 thf(def_ect,definition, 0.41/0.58 ( ect 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o] : ( d_Sep @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ectset,type, 0.41/0.58 ectset: $i > ( $i > $i > $o ) > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_ectset,definition, 0.41/0.58 ( ectset 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o] : ( out @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ectelt,type, 0.41/0.58 ectelt: $i > ( $i > $i > $o ) > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_ectelt,definition, 0.41/0.58 ( ectelt 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i] : ( ectset @ X0 @ X1 @ ( ecelt @ X0 @ X1 @ X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_ecect,type, 0.41/0.58 ecect: $i > ( $i > $i > $o ) > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_ecect,definition, 0.41/0.58 ( ecect 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o] : ( e_in @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_fixfu,type, 0.41/0.58 fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_fixfu,definition, 0.41/0.58 ( fixfu 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X4: $i] : ( in @ X4 @ X0 ) 0.41/0.58 @ ^ [X4: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X5: $i] : ( in @ X5 @ X0 ) 0.41/0.58 @ ^ [X5: $i] : 0.41/0.58 ( ( X1 @ X4 @ X5 ) 0.41/0.58 => ( e_is @ X2 @ ( ap @ X3 @ X4 ) @ ( ap @ X3 @ X5 ) ) ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_10_prop1,type, 0.41/0.58 d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_d_10_prop1,definition, 0.41/0.58 ( d_10_prop1 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ( d_and @ ( esti @ X0 @ X6 @ ( ecect @ X0 @ X1 @ X4 ) ) @ ( e_is @ X2 @ ( ap @ X3 @ X6 ) @ X5 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_prop2,type, 0.41/0.58 prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_prop2,definition, 0.41/0.58 ( prop2 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i,X5: $i] : ( l_some @ X0 @ ( d_10_prop1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_indeq,type, 0.41/0.58 indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_indeq,definition, 0.41/0.58 ( indeq 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i] : ( ind @ X2 @ ( prop2 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_fixfu2,type, 0.41/0.58 fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_fixfu2,definition, 0.41/0.58 ( fixfu2 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X4: $i] : ( in @ X4 @ X0 ) 0.41/0.58 @ ^ [X4: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X5: $i] : ( in @ X5 @ X0 ) 0.41/0.58 @ ^ [X5: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X6: $i] : ( in @ X6 @ X0 ) 0.41/0.58 @ ^ [X6: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X7: $i] : ( in @ X7 @ X0 ) 0.41/0.58 @ ^ [X7: $i] : 0.41/0.58 ( ( X1 @ X4 @ X5 ) 0.41/0.58 => ( ( X1 @ X6 @ X7 ) 0.41/0.58 => ( e_is @ X2 @ ( ap @ ( ap @ X3 @ X4 ) @ X6 ) @ ( ap @ ( ap @ X3 @ X5 ) @ X7 ) ) ) ) ) ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_11_i,type, 0.41/0.58 d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_d_11_i,definition, 0.41/0.58 ( d_11_i 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i] : 0.41/0.58 ( indeq @ X0 @ X1 0.41/0.58 @ ( d_Pi @ X0 0.41/0.58 @ ^ [X3: $i] : X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_indeq2,type, 0.41/0.58 indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_indeq2,definition, 0.41/0.58 ( indeq2 0.41/0.58 = ( ^ [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i] : ( indeq @ X0 @ X1 @ X2 @ ( d_11_i @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_nat,type, 0.41/0.58 nat: $i ). 0.41/0.58 0.41/0.58 thf(def_nat,definition, 0.41/0.58 ( nat 0.41/0.58 = ( d_Sep @ omega 0.41/0.58 @ ^ [X0: $i] : ( X0 != emptyset ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_is,type, 0.41/0.58 n_is: $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_n_is,definition, 0.41/0.58 ( n_is 0.41/0.58 = ( e_is @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(typ_nis,type, 0.41/0.58 nis: $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_nis,definition, 0.41/0.58 ( nis 0.41/0.58 = ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_in,type, 0.41/0.58 n_in: $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_n_in,definition, 0.41/0.58 ( n_in 0.41/0.58 = ( esti @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_some,type, 0.41/0.58 n_some: ( $i > $o ) > $o ). 0.41/0.58 0.41/0.58 thf(def_n_some,definition, 0.41/0.58 ( n_some 0.41/0.58 = ( l_some @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_all,type, 0.41/0.58 n_all: ( $i > $o ) > $o ). 0.41/0.58 0.41/0.58 thf(def_n_all,definition, 0.41/0.58 ( n_all 0.41/0.58 = ( all @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_one,type, 0.41/0.58 n_one: ( $i > $o ) > $o ). 0.41/0.58 0.41/0.58 thf(def_n_one,definition, 0.41/0.58 ( n_one 0.41/0.58 = ( one @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_1,type, 0.41/0.58 n_1: $i ). 0.41/0.58 0.41/0.58 thf(def_n_1,definition, 0.41/0.58 ( n_1 0.41/0.58 = ( ordsucc @ emptyset ) ) ). 0.41/0.58 0.41/0.58 thf(typ_cond1,type, 0.41/0.58 cond1: $i > $o ). 0.41/0.58 0.41/0.58 thf(def_cond1,definition, 0.41/0.58 ( cond1 0.41/0.58 = ( n_in @ n_1 ) ) ). 0.41/0.58 0.41/0.58 thf(typ_cond2,type, 0.41/0.58 cond2: $i > $o ). 0.41/0.58 0.41/0.58 thf(def_cond2,definition, 0.41/0.58 ( cond2 0.41/0.58 = ( ^ [X0: $i] : 0.41/0.58 ( n_all 0.41/0.58 @ ^ [X1: $i] : ( imp @ ( n_in @ X1 @ X0 ) @ ( n_in @ ( ordsucc @ X1 ) @ X0 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_i1_s,type, 0.41/0.58 i1_s: ( $i > $o ) > $i ). 0.41/0.58 0.41/0.58 thf(def_i1_s,definition, 0.41/0.58 ( i1_s 0.41/0.58 = ( d_Sep @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(k_SepE2,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o,X2: $i] : 0.41/0.58 ( ( in @ X2 @ ( d_Sep @ X0 @ X1 ) ) 0.41/0.58 => ( X1 @ X2 ) ) ). 0.41/0.58 0.41/0.58 thf(set_ext,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( ( X0 = X1 ) 0.41/0.58 <= ( d_Subq @ X1 @ X0 ) ) 0.41/0.58 <= ( d_Subq @ X0 @ X1 ) ) ). 0.41/0.58 0.41/0.58 thf(proj_Sigma_eta,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ( ( pair @ ( proj0 @ X2 ) @ ( proj1 @ X2 ) ) 0.41/0.58 = X2 ) 0.41/0.58 <= ( in @ X2 @ ( d_Sigma @ X0 @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_PowerEq,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( d_Subq @ X1 @ X0 ) 0.41/0.58 <=> ( in @ X1 @ ( power @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(e_fisi,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( in @ X2 0.41/0.58 @ ( d_Pi @ X0 0.41/0.58 @ ^ [X3: $i] : X1 ) ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X3: $i] : 0.41/0.58 ( in @ X3 0.41/0.58 @ ( d_Pi @ X0 0.41/0.58 @ ^ [X4: $i] : X1 ) ) 0.41/0.58 @ ^ [X3: $i] : 0.41/0.58 ( ( all_of 0.41/0.58 @ ^ [X4: $i] : ( in @ X4 @ X0 ) 0.41/0.58 @ ^ [X4: $i] : ( e_is @ X1 @ ( ap @ X2 @ X4 ) @ ( ap @ X3 @ X4 ) ) ) 0.41/0.58 => ( e_is 0.41/0.58 @ ( d_Pi @ X0 0.41/0.58 @ ^ [X4: $i] : X1 ) 0.41/0.58 @ X2 0.41/0.58 @ X3 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_Pi_ext,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ! [X3: $i] : 0.41/0.58 ( ( ( X2 = X3 ) 0.41/0.58 <= ! [X4: $i] : 0.41/0.58 ( ( ( ap @ X2 @ X4 ) 0.41/0.58 = ( ap @ X3 @ X4 ) ) 0.41/0.58 <= ( in @ X4 @ X0 ) ) ) 0.41/0.58 <= ( in @ X3 @ ( d_Pi @ X0 @ X1 ) ) ) 0.41/0.58 <= ( in @ X2 @ ( d_Pi @ X0 @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(nat_inv,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( ( ( X0 = emptyset ) 0.41/0.58 | ? [X1: $i] : 0.41/0.58 ( ( nat_p @ X1 ) 0.41/0.58 & ( X0 0.41/0.58 = ( ordsucc @ X1 ) ) ) ) 0.41/0.58 <= ( nat_p @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(ind_p,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( ( one @ X0 @ X1 ) 0.41/0.58 => ( is_of @ ( ind @ X0 @ X1 ) 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(setof_p,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( is_of @ ( d_Sep @ X0 @ X1 ) 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( power @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(ap_Pi,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i,X3: $i] : 0.41/0.58 ( ( in @ X2 @ ( d_Pi @ X0 @ X1 ) ) 0.41/0.58 => ( ( in @ ( ap @ X2 @ X3 ) @ ( X1 @ X3 ) ) 0.41/0.58 <= ( in @ X3 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(neq_ordsucc_0,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( ( ordsucc @ X0 ) 0.41/0.58 != emptyset ) ). 0.41/0.58 0.41/0.58 thf(proj0_pair_eq,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( proj0 @ ( pair @ X0 @ X1 ) ) 0.41/0.58 = X0 ) ). 0.41/0.58 0.41/0.58 thf(pairis1,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( setprod @ X0 @ X1 ) ) 0.41/0.58 @ ^ [X2: $i] : ( e_is @ ( setprod @ X0 @ X1 ) @ ( d_pair @ X0 @ X1 @ ( first @ X0 @ X1 @ X2 ) @ ( second @ X0 @ X1 @ X2 ) ) @ X2 ) ) ). 0.41/0.58 0.41/0.58 thf(otax2,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( ( X1 @ X2 ) 0.41/0.58 => ( image @ ( d_Sep @ X0 @ X1 ) @ X0 @ ( d_Sigma @ ( d_Sep @ X0 @ X1 ) @ ( e_in @ X0 @ X1 ) ) @ X2 ) ) ) ). 0.41/0.58 0.41/0.58 thf(xi_ext,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i > $i] : 0.41/0.58 ( ( ( d_Sigma @ X0 @ X1 ) 0.41/0.58 = ( d_Sigma @ X0 @ X2 ) ) 0.41/0.58 <= ! [X3: $i] : 0.41/0.58 ( ( ( X1 @ X3 ) 0.41/0.58 = ( X2 @ X3 ) ) 0.41/0.58 <= ( in @ X3 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_SepI,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o,X2: $i] : 0.41/0.58 ( ( ( X1 @ X2 ) 0.41/0.58 => ( in @ X2 @ ( d_Sep @ X0 @ X1 ) ) ) 0.41/0.58 <= ( in @ X2 @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(isseti,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X1: $i] : ( in @ X1 @ ( power @ X0 ) ) 0.41/0.58 @ ^ [X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( power @ X0 ) ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( ( incl @ X0 @ X1 @ X2 ) 0.41/0.58 => ( ( incl @ X0 @ X2 @ X1 ) 0.41/0.58 => ( e_is @ ( power @ X0 ) @ X1 @ X2 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_SepE1,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o,X2: $i] : 0.41/0.58 ( ( in @ X2 @ ( d_Sep @ X0 @ X1 ) ) 0.41/0.58 => ( in @ X2 @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(nat_ind,axiom, 0.41/0.58 ! [X0: $i > $o] : 0.41/0.58 ( ( ! [X1: $i] : 0.41/0.58 ( ( nat_p @ X1 ) 0.41/0.58 => ( X0 @ X1 ) ) 0.41/0.58 <= ! [X1: $i] : 0.41/0.58 ( ( nat_p @ X1 ) 0.41/0.58 => ( ( X0 @ X1 ) 0.41/0.58 => ( X0 @ ( ordsucc @ X1 ) ) ) ) ) 0.41/0.58 <= ( X0 @ emptyset ) ) ). 0.41/0.58 0.41/0.58 thf(if_i_or,axiom, 0.41/0.58 ! [X0: $o,X1: $i,X2: $i] : 0.41/0.58 ( ( ( if @ X0 @ X1 @ X2 ) 0.41/0.58 = X2 ) 0.41/0.58 | ( ( if @ X0 @ X1 @ X2 ) 0.41/0.58 = X1 ) ) ). 0.41/0.58 0.41/0.58 thf(n_ax3,axiom, 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.58 @ ^ [X0: $i] : ( nis @ ( ordsucc @ X0 ) @ n_1 ) ) ). 0.41/0.58 0.41/0.58 thf(suc_p,axiom, 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.58 @ ^ [X0: $i] : 0.41/0.58 ( is_of @ ( ordsucc @ X0 ) 0.41/0.58 @ ^ [X1: $i] : ( in @ X1 @ nat ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_ReplEq,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ( in @ X2 @ ( repl @ X0 @ X1 ) ) 0.41/0.58 <=> ? [X3: $i] : 0.41/0.58 ( ( X2 0.41/0.58 = ( X1 @ X3 ) ) 0.41/0.58 & ( in @ X3 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(nat_p_omega,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( ( in @ X0 @ omega ) 0.41/0.58 <= ( nat_p @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(lam_Pi,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i > $i] : 0.41/0.58 ( ( in @ ( d_Sigma @ X0 @ X2 ) @ ( d_Pi @ X0 @ X1 ) ) 0.41/0.58 <= ! [X3: $i] : 0.41/0.58 ( ( in @ X3 @ X0 ) 0.41/0.58 => ( in @ ( X2 @ X3 ) @ ( X1 @ X3 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(proj1_pair_eq,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( proj1 @ ( pair @ X0 @ X1 ) ) 0.41/0.58 = X1 ) ). 0.41/0.58 0.41/0.58 thf(if_i_1,axiom, 0.41/0.58 ! [X0: $o,X1: $i,X2: $i] : 0.41/0.58 ( X0 0.41/0.58 => ( ( if @ X0 @ X1 @ X2 ) 0.41/0.58 = X1 ) ) ). 0.41/0.58 0.41/0.58 thf(k_In_0_1,axiom, 0.41/0.58 in @ emptyset @ ( ordsucc @ emptyset ) ). 0.41/0.58 0.41/0.58 thf(k_UnionEq,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ? [X2: $i] : 0.41/0.58 ( ( in @ X1 @ X2 ) 0.41/0.58 & ( in @ X2 @ X0 ) ) 0.41/0.58 <=> ( in @ X1 @ ( union @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(nat_1,axiom, 0.41/0.58 nat_p @ ( ordsucc @ emptyset ) ). 0.41/0.58 0.41/0.58 thf(secondis1,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X1 ) 0.41/0.58 @ ^ [X3: $i] : ( e_is @ X1 @ ( second @ X0 @ X1 @ ( d_pair @ X0 @ X1 @ X2 @ X3 ) ) @ X3 ) ) ) ). 0.41/0.58 0.41/0.58 thf(otax1,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : ( injective @ ( d_Sep @ X0 @ X1 ) @ X0 @ ( d_Sigma @ ( d_Sep @ X0 @ X1 ) @ ( e_in @ X0 @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(estie,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( ( X1 @ X2 ) 0.41/0.58 <= ( esti @ X0 @ X2 @ ( d_Sep @ X0 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(refis,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X1: $i] : ( in @ X1 @ X0 ) 0.41/0.58 @ ^ [X1: $i] : ( e_is @ X0 @ X1 @ X1 ) ) ). 0.41/0.58 0.41/0.58 thf(ordsucc_inj,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( X0 = X1 ) 0.41/0.58 <= ( ( ordsucc @ X0 ) 0.41/0.58 = ( ordsucc @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(if_i_correct,axiom, 0.41/0.58 ! [X0: $o,X1: $i,X2: $i] : 0.41/0.58 ( ( ( ( if @ X0 @ X1 @ X2 ) 0.41/0.58 = X2 ) 0.41/0.58 & ~ X0 ) 0.41/0.58 | ( X0 0.41/0.58 & ( ( if @ X0 @ X1 @ X2 ) 0.41/0.58 = X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(pair_Sigma,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ! [X3: $i] : 0.41/0.58 ( ( in @ ( pair @ X2 @ X3 ) @ ( d_Sigma @ X0 @ X1 ) ) 0.41/0.58 <= ( in @ X3 @ ( X1 @ X2 ) ) ) 0.41/0.58 <= ( in @ X2 @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(n_ax5,axiom, 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ ( power @ nat ) ) 0.41/0.58 @ ^ [X0: $i] : 0.41/0.58 ( ( ( all_of 0.41/0.58 @ ^ [X1: $i] : ( in @ X1 @ nat ) 0.41/0.58 @ ^ [X1: $i] : ( n_in @ X1 @ X0 ) ) 0.41/0.58 <= ( cond2 @ X0 ) ) 0.41/0.58 <= ( cond1 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_PowerE,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( in @ X1 @ ( power @ X0 ) ) 0.41/0.58 => ( d_Subq @ X1 @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(e_pair_p,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X1 ) 0.41/0.58 @ ^ [X3: $i] : 0.41/0.58 ( is_of @ ( d_pair @ X0 @ X1 @ X2 @ X3 ) 0.41/0.58 @ ^ [X4: $i] : ( in @ X4 @ ( setprod @ X0 @ X1 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_If_In_01,axiom, 0.41/0.58 ! [X0: $o,X1: $i,X2: $i] : 0.41/0.58 ( ( X0 0.41/0.58 => ( in @ X1 @ X2 ) ) 0.41/0.58 => ( in @ ( if @ X0 @ X1 @ emptyset ) @ ( if @ X0 @ X2 @ ( ordsucc @ emptyset ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(first_p,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( setprod @ X0 @ X1 ) ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( is_of @ ( first @ X0 @ X1 @ X2 ) 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(if_i_0,axiom, 0.41/0.58 ! [X0: $o,X1: $i,X2: $i] : 0.41/0.58 ( ~ X0 0.41/0.58 => ( ( if @ X0 @ X1 @ X2 ) 0.41/0.58 = X2 ) ) ). 0.41/0.58 0.41/0.58 thf(n_1_p,axiom, 0.41/0.58 ( is_of @ n_1 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ nat ) ) ). 0.41/0.58 0.41/0.58 thf(oneax,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( ( one @ X0 @ X1 ) 0.41/0.58 => ( X1 @ ( ind @ X0 @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(omega_nat_p,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( ( nat_p @ X0 ) 0.41/0.58 <= ( in @ X0 @ omega ) ) ). 0.41/0.58 0.41/0.58 thf(proj1_Sigma,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ( in @ X2 @ ( d_Sigma @ X0 @ X1 ) ) 0.41/0.58 => ( in @ ( proj1 @ X2 ) @ ( X1 @ ( proj0 @ X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_Sigma_eta_proj0_proj1,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ( in @ X2 @ ( d_Sigma @ X0 @ X1 ) ) 0.41/0.58 => ( ( in @ ( proj0 @ X2 ) @ X0 ) 0.41/0.58 & ( in @ ( proj1 @ X2 ) @ ( X1 @ ( proj0 @ X2 ) ) ) 0.41/0.58 & ( ( pair @ ( proj0 @ X2 ) @ ( proj1 @ X2 ) ) 0.41/0.58 = X2 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_If_In_then_E,axiom, 0.41/0.58 ! [X0: $o,X1: $i,X2: $i,X3: $i] : 0.41/0.58 ( X0 0.41/0.58 => ( ( in @ X1 @ X2 ) 0.41/0.58 <= ( in @ X1 @ ( if @ X0 @ X2 @ X3 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_In_ind,axiom, 0.41/0.58 ! [X0: $i > $o] : 0.41/0.58 ( ! [X1: $i] : ( X0 @ X1 ) 0.41/0.58 <= ! [X1: $i] : 0.41/0.58 ( ! [X2: $i] : 0.41/0.58 ( ( in @ X2 @ X1 ) 0.41/0.58 => ( X0 @ X2 ) ) 0.41/0.58 => ( X0 @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_Self_In_Power,axiom, 0.41/0.58 ! [X0: $i] : ( in @ X0 @ ( power @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(proj0_Sigma,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ( in @ X2 @ ( d_Sigma @ X0 @ X1 ) ) 0.41/0.58 => ( in @ ( proj0 @ X2 ) @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(firstis1,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X1 ) 0.41/0.58 @ ^ [X3: $i] : ( e_is @ X0 @ ( first @ X0 @ X1 @ ( d_pair @ X0 @ X1 @ X2 @ X3 ) ) @ X2 ) ) ) ). 0.41/0.58 0.41/0.58 thf(second_p,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( setprod @ X0 @ X1 ) ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( is_of @ ( second @ X0 @ X1 @ X2 ) 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X1 ) ) ) ). 0.41/0.58 0.41/0.58 thf(n_ax4,axiom, 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.58 @ ^ [X0: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X1: $i] : ( in @ X1 @ nat ) 0.41/0.58 @ ^ [X1: $i] : 0.41/0.58 ( ( n_is @ X0 @ X1 ) 0.41/0.58 <= ( n_is @ ( ordsucc @ X0 ) @ ( ordsucc @ X1 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_UnivOf_In,axiom, 0.41/0.58 ! [X0: $i] : ( in @ X0 @ ( univof @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(e_inp,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( d_Sep @ X0 @ X1 ) ) 0.41/0.58 @ ^ [X2: $i] : ( X1 @ ( e_in @ X0 @ X1 @ X2 ) ) ) ). 0.41/0.58 0.41/0.58 thf(l_et,axiom, 0.41/0.58 ! [X0: $o] : 0.41/0.58 ( X0 0.41/0.58 <= ( wel @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(e_isp,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X0 ) 0.41/0.58 @ ^ [X3: $i] : 0.41/0.58 ( ( X1 @ X2 ) 0.41/0.58 => ( ( X1 @ X3 ) 0.41/0.58 <= ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(nat_ordsucc,axiom, 0.41/0.58 ! [X0: $i] : 0.41/0.58 ( ( nat_p @ X0 ) 0.41/0.58 => ( nat_p @ ( ordsucc @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(e_in_p,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ ( d_Sep @ X0 @ X1 ) ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( is_of @ ( e_in @ X0 @ X1 @ X2 ) 0.41/0.58 @ ^ [X3: $i] : ( in @ X3 @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_PowerI,axiom, 0.41/0.58 ! [X0: $i,X1: $i] : 0.41/0.58 ( ( d_Subq @ X1 @ X0 ) 0.41/0.58 => ( in @ X1 @ ( power @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(beta,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $i,X2: $i] : 0.41/0.58 ( ( ( ap @ ( d_Sigma @ X0 @ X1 ) @ X2 ) 0.41/0.58 = ( X1 @ X2 ) ) 0.41/0.58 <= ( in @ X2 @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(k_EmptyAx,axiom, 0.41/0.58 ~ ? [X0: $i] : ( in @ X0 @ emptyset ) ). 0.41/0.58 0.41/0.58 thf(estii,axiom, 0.41/0.58 ! [X0: $i,X1: $i > $o] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X2: $i] : ( in @ X2 @ X0 ) 0.41/0.58 @ ^ [X2: $i] : 0.41/0.58 ( ( esti @ X0 @ X2 @ ( d_Sep @ X0 @ X1 ) ) 0.41/0.58 <= ( X1 @ X2 ) ) ) ). 0.41/0.58 0.41/0.58 thf(k_UnivOf_ZF_closed,axiom, 0.41/0.58 ! [X0: $i] : ( d_ZF_closed @ ( univof @ X0 ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_22_prop1,type, 0.41/0.58 d_22_prop1: $i > $o ). 0.41/0.58 0.41/0.58 thf(def_d_22_prop1,definition, 0.41/0.58 ( d_22_prop1 0.41/0.58 = ( ^ [X0: $i] : ( nis @ ( ordsucc @ X0 ) @ X0 ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_23_prop1,type, 0.41/0.58 d_23_prop1: $i > $o ). 0.41/0.58 0.41/0.58 thf(def_d_23_prop1,definition, 0.41/0.58 ( d_23_prop1 0.41/0.58 = ( ^ [X0: $i] : 0.41/0.58 ( l_or @ ( n_is @ X0 @ n_1 ) 0.41/0.58 @ ( n_some 0.41/0.58 @ ^ [X1: $i] : ( n_is @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_24_prop1,type, 0.41/0.58 d_24_prop1: $i > $o ). 0.41/0.58 0.41/0.58 thf(def_d_24_prop1,definition, 0.41/0.58 ( d_24_prop1 0.41/0.58 = ( ^ [X0: $i] : 0.41/0.58 ( n_all 0.41/0.58 @ ^ [X1: $i] : ( n_is @ ( ap @ X0 @ ( ordsucc @ X1 ) ) @ ( ordsucc @ ( ap @ X0 @ X1 ) ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_24_prop2,type, 0.41/0.58 d_24_prop2: $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_d_24_prop2,definition, 0.41/0.58 ( d_24_prop2 0.41/0.58 = ( ^ [X0: $i,X1: $i] : ( d_and @ ( n_is @ ( ap @ X1 @ n_1 ) @ ( ordsucc @ X0 ) ) @ ( d_24_prop1 @ X1 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_prop3,type, 0.41/0.58 prop3: $i > $i > $i > $o ). 0.41/0.58 0.41/0.58 thf(def_prop3,definition, 0.41/0.58 ( prop3 0.41/0.58 = ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ ( ap @ X0 @ X2 ) @ ( ap @ X1 @ X2 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_prop4,type, 0.41/0.58 prop4: $i > $o ). 0.41/0.58 0.41/0.58 thf(def_prop4,definition, 0.41/0.58 ( prop4 0.41/0.58 = ( ^ [X0: $i] : 0.41/0.58 ( l_some 0.41/0.58 @ ( d_Pi @ nat 0.41/0.58 @ ^ [X1: $i] : nat ) 0.41/0.58 @ ( d_24_prop2 @ X0 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_d_24_g,type, 0.41/0.58 d_24_g: $i > $i ). 0.41/0.58 0.41/0.58 thf(def_d_24_g,definition, 0.41/0.58 ( d_24_g 0.41/0.58 = ( ^ [X0: $i] : 0.41/0.58 ( d_Sigma @ nat 0.41/0.58 @ ^ [X1: $i] : ( ordsucc @ ( ap @ X0 @ X1 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_plus,type, 0.41/0.58 plus: $i > $i ). 0.41/0.58 0.41/0.58 thf(def_plus,definition, 0.41/0.58 ( plus 0.41/0.58 = ( ^ [X0: $i] : 0.41/0.58 ( ind 0.41/0.58 @ ( d_Pi @ nat 0.41/0.58 @ ^ [X1: $i] : nat ) 0.41/0.58 @ ( d_24_prop2 @ X0 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(typ_n_pl,type, 0.41/0.58 n_pl: $i > $i > $i ). 0.41/0.58 0.41/0.58 thf(def_n_pl,definition, 0.41/0.58 ( n_pl 0.41/0.58 = ( ^ [X0: $i] : ( ap @ ( plus @ X0 ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(satz4b,axiom, 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.58 @ ^ [X0: $i] : 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X1: $i] : ( in @ X1 @ nat ) 0.41/0.58 @ ^ [X1: $i] : ( n_is @ ( n_pl @ X0 @ ( ordsucc @ X1 ) ) @ ( ordsucc @ ( n_pl @ X0 @ X1 ) ) ) ) ) ). 0.41/0.58 0.41/0.58 thf(satz2,axiom, 0.41/0.58 ( all_of 0.41/0.58 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.58 @ ^ [X0: $i] : ( nis @ ( ordsucc @ X0 ) @ X0 ) ) ). 0.41/0.65 0.41/0.65 thf(satz4e,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : ( n_is @ ( ordsucc @ X0 ) @ ( n_pl @ X0 @ n_1 ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz3,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : 0.41/0.65 ( ( nis @ X0 @ n_1 ) 0.41/0.65 => ( n_some 0.41/0.65 @ ^ [X1: $i] : ( n_is @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz4,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : 0.41/0.65 ( one 0.41/0.65 @ ( d_Pi @ nat 0.41/0.65 @ ^ [X1: $i] : nat ) 0.41/0.65 @ ^ [X1: $i] : 0.41/0.65 ( d_and @ ( n_is @ ( ap @ X1 @ n_1 ) @ ( ordsucc @ X0 ) ) 0.41/0.65 @ ( n_all 0.41/0.65 @ ^ [X2: $i] : ( n_is @ ( ap @ X1 @ ( ordsucc @ X2 ) ) @ ( ordsucc @ ( ap @ X1 @ X2 ) ) ) ) ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz4a,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : ( n_is @ ( n_pl @ X0 @ n_1 ) @ ( ordsucc @ X0 ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz4f,conjecture, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X1: $i] : ( in @ X1 @ nat ) 0.41/0.65 @ ^ [X1: $i] : ( n_is @ ( ordsucc @ ( n_pl @ X0 @ X1 ) ) @ ( n_pl @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz4c,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : ( n_is @ ( n_pl @ n_1 @ X0 ) @ ( ordsucc @ X0 ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz3a,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : 0.41/0.65 ( ( nis @ X0 @ n_1 ) 0.41/0.65 => ( n_one 0.41/0.65 @ ^ [X1: $i] : ( n_is @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz1,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X1: $i] : ( in @ X1 @ nat ) 0.41/0.65 @ ^ [X1: $i] : 0.41/0.65 ( ( nis @ X0 @ X1 ) 0.41/0.65 => ( nis @ ( ordsucc @ X0 ) @ ( ordsucc @ X1 ) ) ) ) ) ). 0.41/0.65 0.41/0.65 thf(satz4d,axiom, 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X0: $i] : ( in @ X0 @ nat ) 0.41/0.65 @ ^ [X0: $i] : 0.41/0.65 ( all_of 0.41/0.65 @ ^ [X1: $i] : ( in @ X1 @ nat ) 0.41/0.65 @ ^ [X1: $i] : ( n_is @ ( n_pl @ ( ordsucc @ X0 ) @ X1 ) @ ( ordsucc @ ( n_pl @ X0 @ X1 ) ) ) ) ) ). 0.41/0.65 0.41/0.65 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XKLjcKbEw3/cvc5---1.0.5_8309.p... 0.41/0.65 (declare-sort $$unsorted 0) 0.41/0.65 (declare-fun tptp.is_of ($$unsorted (-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.is_of (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ X1 X0)))) 0.41/0.65 (declare-fun tptp.all_of ((-> $$unsorted Bool) (-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.all_of (lambda ((X0 (-> $$unsorted Bool)) (X1 (-> $$unsorted Bool))) (forall ((X2 $$unsorted)) (=> (@ (@ tptp.is_of X2) X0) (@ X1 X2)))))) 0.41/0.65 (declare-fun tptp.eps ((-> $$unsorted Bool)) $$unsorted) 0.41/0.65 (declare-fun tptp.in ($$unsorted $$unsorted) Bool) 0.41/0.65 (declare-fun tptp.d_Subq ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_Subq (lambda ((X0 $$unsorted) (X1 $$unsorted)) (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (=> (@ _let_1 X0) (@ _let_1 X1))))))) 0.41/0.65 (declare-fun tptp.emptyset () $$unsorted) 0.41/0.65 (declare-fun tptp.union ($$unsorted) $$unsorted) 0.41/0.65 (declare-fun tptp.power ($$unsorted) $$unsorted) 0.41/0.65 (declare-fun tptp.repl ($$unsorted (-> $$unsorted $$unsorted)) $$unsorted) 0.41/0.65 (declare-fun tptp.d_Union_closed ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_Union_closed (lambda ((X0 $$unsorted)) (forall ((X1 $$unsorted)) (=> (@ (@ tptp.in X1) X0) (@ (@ tptp.in (@ tptp.union X1)) X0)))))) 0.41/0.65 (declare-fun tptp.d_Power_closed ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_Power_closed (lambda ((X0 $$unsorted)) (forall ((X1 $$unsorted)) (=> (@ (@ tptp.in X1) X0) (@ (@ tptp.in (@ tptp.power X1)) X0)))))) 0.41/0.65 (declare-fun tptp.d_Repl_closed ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_Repl_closed (lambda ((X0 $$unsorted)) (forall ((X1 $$unsorted)) (=> (@ (@ tptp.in X1) X0) (forall ((X2 (-> $$unsorted $$unsorted))) (=> (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X1) (@ (@ tptp.in (@ X2 X3)) X0))) (@ (@ tptp.in (@ (@ tptp.repl X1) X2)) X0)))))))) 0.41/0.65 (declare-fun tptp.d_ZF_closed ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_ZF_closed (lambda ((X0 $$unsorted)) (and (@ tptp.d_Union_closed X0) (@ tptp.d_Power_closed X0) (@ tptp.d_Repl_closed X0))))) 0.41/0.65 (declare-fun tptp.univof ($$unsorted) $$unsorted) 0.41/0.65 (declare-fun tptp.if (Bool $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.if (lambda ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (@ tptp.eps (lambda ((X3 $$unsorted)) (or (and X0 (= X3 X1)) (and (not X0) (= X3 X2)))))))) 0.41/0.65 (declare-fun tptp.nIn ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.nIn (lambda ((X0 $$unsorted) (X1 $$unsorted)) (not (@ (@ tptp.in X0) X1))))) 0.41/0.65 (declare-fun tptp.d_UPair ($$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_UPair (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.if (@ (@ tptp.in tptp.emptyset) X2)) X0) X1)))))) 0.41/0.65 (declare-fun tptp.d_Sing ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_Sing (lambda ((X0 $$unsorted)) (@ (@ tptp.d_UPair X0) X0)))) 0.41/0.65 (declare-fun tptp.binunion ($$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.binunion (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ tptp.union (@ (@ tptp.d_UPair X0) X1))))) 0.41/0.65 (declare-fun tptp.famunion ($$unsorted (-> $$unsorted $$unsorted)) $$unsorted) 0.41/0.65 (assert (= tptp.famunion (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ tptp.union (@ (@ tptp.repl X0) X1))))) 0.41/0.65 (declare-fun tptp.d_Sep ($$unsorted (-> $$unsorted Bool)) $$unsorted) 0.41/0.65 (assert (= tptp.d_Sep (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ (@ tptp.if (exists ((X2 $$unsorted)) (and (@ (@ tptp.in X2) X0) (@ X1 X2)))) (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.if (@ X1 X2)) X2) (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X0) (@ X1 X3)))))))) tptp.emptyset)))) 0.41/0.65 (declare-fun tptp.d_ReplSep ($$unsorted (-> $$unsorted Bool) (-> $$unsorted $$unsorted)) $$unsorted) 0.41/0.65 (assert (= tptp.d_ReplSep (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (__flatten_var_0 (-> $$unsorted $$unsorted))) (@ (@ tptp.repl (@ (@ tptp.d_Sep X0) X1)) __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.setminus ($$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.setminus (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.d_Sep X0) (lambda ((X2 $$unsorted)) (@ (@ tptp.nIn X2) X1)))))) 0.41/0.65 (declare-fun tptp.d_In_rec_G ((-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted) $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_In_rec_G (lambda ((X0 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) (X1 $$unsorted) (X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (=> (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (=> (forall ((X6 $$unsorted)) (=> (@ (@ tptp.in X6) X4) (@ (@ X3 X6) (@ X5 X6)))) (@ (@ X3 X4) (@ (@ X0 X4) X5)))) (@ (@ X3 X1) X2)))))) 0.41/0.65 (declare-fun tptp.d_In_rec ((-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_In_rec (lambda ((X0 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) (X1 $$unsorted)) (@ tptp.eps (@ (@ tptp.d_In_rec_G X0) X1))))) 0.41/0.65 (declare-fun tptp.ordsucc ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ordsucc (lambda ((X0 $$unsorted)) (@ (@ tptp.binunion X0) (@ tptp.d_Sing X0))))) 0.41/0.65 (declare-fun tptp.nat_p ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.nat_p (lambda ((X0 $$unsorted)) (forall ((X1 (-> $$unsorted Bool))) (=> (@ X1 tptp.emptyset) (=> (forall ((X2 $$unsorted)) (=> (@ X1 X2) (@ X1 (@ tptp.ordsucc X2)))) (@ X1 X0))))))) 0.41/0.65 (declare-fun tptp.omega () $$unsorted) 0.41/0.65 (assert (= tptp.omega (@ (@ tptp.d_Sep (@ tptp.univof tptp.emptyset)) tptp.nat_p))) 0.41/0.65 (declare-fun tptp.d_Inj1 ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_Inj1 (@ tptp.d_In_rec (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.binunion (@ tptp.d_Sing tptp.emptyset)) (@ (@ tptp.repl X0) X1)))))) 0.41/0.65 (declare-fun tptp.d_Inj0 ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_Inj0 (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) tptp.d_Inj1)))) 0.41/0.65 (declare-fun tptp.d_Unj ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_Unj (@ tptp.d_In_rec (lambda ((X0 $$unsorted) (__flatten_var_0 (-> $$unsorted $$unsorted))) (@ (@ tptp.repl (@ (@ tptp.setminus X0) (@ tptp.d_Sing tptp.emptyset))) __flatten_var_0))))) 0.41/0.65 (declare-fun tptp.pair ($$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.pair (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.binunion (@ (@ tptp.repl X0) tptp.d_Inj0)) (@ (@ tptp.repl X1) tptp.d_Inj1))))) 0.41/0.65 (declare-fun tptp.proj0 ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.proj0 (lambda ((X0 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X1 $$unsorted)) (exists ((X2 $$unsorted)) (= (@ tptp.d_Inj0 X2) X1)))) tptp.d_Unj)))) 0.41/0.65 (declare-fun tptp.proj1 ($$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.proj1 (lambda ((X0 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X1 $$unsorted)) (exists ((X2 $$unsorted)) (= (@ tptp.d_Inj1 X2) X1)))) tptp.d_Unj)))) 0.41/0.65 (declare-fun tptp.d_Sigma ($$unsorted (-> $$unsorted $$unsorted)) $$unsorted) 0.41/0.65 (assert (= tptp.d_Sigma (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.famunion X0) (lambda ((X2 $$unsorted)) (@ (@ tptp.repl (@ X1 X2)) (@ tptp.pair X2))))))) 0.41/0.65 (declare-fun tptp.setprod ($$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.setprod (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.d_Sigma X0) (lambda ((X2 $$unsorted)) X1))))) 0.41/0.65 (declare-fun tptp.ap ($$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ap (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X2 $$unsorted)) (exists ((X3 $$unsorted)) (= X2 (@ (@ tptp.pair X1) X3))))) tptp.proj1)))) 0.41/0.65 (declare-fun tptp.pair_p ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.pair_p (lambda ((X0 $$unsorted)) (let ((_let_1 (@ tptp.ap X0))) (= (@ (@ tptp.pair (@ _let_1 tptp.emptyset)) (@ _let_1 (@ tptp.ordsucc tptp.emptyset))) X0))))) 0.41/0.65 (declare-fun tptp.d_Pi ($$unsorted (-> $$unsorted $$unsorted)) $$unsorted) 0.41/0.65 (assert (= tptp.d_Pi (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.d_Sep (@ tptp.power (@ (@ tptp.d_Sigma X0) (lambda ((X2 $$unsorted)) (@ tptp.union (@ X1 X2)))))) (lambda ((X2 $$unsorted)) (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X0) (@ (@ tptp.in (@ (@ tptp.ap X2) X3)) (@ X1 X3))))))))) 0.41/0.65 (declare-fun tptp.imp (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.imp (lambda ((X0 Bool) (X1 Bool)) (=> X0 X1)))) 0.41/0.65 (declare-fun tptp.d_not (Bool) Bool) 0.41/0.65 (assert (= tptp.d_not (lambda ((X0 Bool)) (@ (@ tptp.imp X0) false)))) 0.41/0.65 (declare-fun tptp.wel (Bool) Bool) 0.41/0.65 (assert (= tptp.wel (lambda ((X0 Bool)) (@ tptp.d_not (@ tptp.d_not X0))))) 0.41/0.65 (declare-fun tptp.obvious () Bool) 0.41/0.65 (assert (= tptp.obvious (@ (@ tptp.imp false) false))) 0.41/0.65 (declare-fun tptp.l_ec (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.l_ec (lambda ((X0 Bool) (X1 Bool)) (@ (@ tptp.imp X0) (@ tptp.d_not X1))))) 0.41/0.65 (declare-fun tptp.d_and (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.d_and (lambda ((X0 Bool) (X1 Bool)) (@ tptp.d_not (@ (@ tptp.l_ec X0) X1))))) 0.41/0.65 (declare-fun tptp.l_or (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.l_or (lambda ((X0 Bool) (__flatten_var_0 Bool)) (@ (@ tptp.imp (@ tptp.d_not X0)) __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.orec (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.orec (lambda ((X0 Bool) (X1 Bool)) (@ (@ tptp.d_and (@ (@ tptp.l_or X0) X1)) (@ (@ tptp.l_ec X0) X1))))) 0.41/0.65 (declare-fun tptp.l_iff (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.l_iff (lambda ((X0 Bool) (X1 Bool)) (@ (@ tptp.d_and (@ (@ tptp.imp X0) X1)) (@ (@ tptp.imp X1) X0))))) 0.41/0.65 (declare-fun tptp.all ($$unsorted (-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.all (lambda ((X0 $$unsorted) (__flatten_var_0 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) X0))) __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.non ($$unsorted (-> $$unsorted Bool) $$unsorted) Bool) 0.41/0.65 (assert (= tptp.non (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) (@ tptp.d_not (@ X1 X2))))) 0.41/0.65 (declare-fun tptp.l_some ($$unsorted (-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.l_some (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ tptp.d_not (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (@ (@ tptp.non X0) X1)))))) 0.41/0.65 (declare-fun tptp.or3 (Bool Bool Bool) Bool) 0.41/0.65 (assert (= tptp.or3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ tptp.l_or X0) (@ (@ tptp.l_or X1) X2))))) 0.41/0.65 (declare-fun tptp.and3 (Bool Bool Bool) Bool) 0.41/0.65 (assert (= tptp.and3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ tptp.d_and X0) (@ (@ tptp.d_and X1) X2))))) 0.41/0.65 (declare-fun tptp.ec3 (Bool Bool Bool) Bool) 0.41/0.65 (assert (= tptp.ec3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ (@ tptp.and3 (@ (@ tptp.l_ec X0) X1)) (@ (@ tptp.l_ec X1) X2)) (@ (@ tptp.l_ec X2) X0))))) 0.41/0.65 (declare-fun tptp.orec3 (Bool Bool Bool) Bool) 0.41/0.65 (assert (= tptp.orec3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ tptp.d_and (@ (@ (@ tptp.or3 X0) X1) X2)) (@ (@ (@ tptp.ec3 X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.e_is ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.e_is (lambda ((X0 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= X Y)))) 0.41/0.65 (declare-fun tptp.amone ($$unsorted (-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.amone (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0))) (lambda ((X3 $$unsorted)) (=> (@ X1 X2) (=> (@ X1 X3) (@ (@ (@ tptp.e_is X0) X2) X3)))))))))) 0.41/0.65 (declare-fun tptp.one ($$unsorted (-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.one (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.d_and (@ (@ tptp.amone X0) X1)) (@ (@ tptp.l_some X0) X1))))) 0.41/0.65 (declare-fun tptp.ind ($$unsorted (-> $$unsorted Bool)) $$unsorted) 0.41/0.65 (assert (= tptp.ind (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ tptp.eps (lambda ((X2 $$unsorted)) (and (@ (@ tptp.in X2) X0) (@ X1 X2))))))) 0.41/0.65 (declare-fun tptp.injective ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.injective (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X3 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X4 $$unsorted)) (let ((_let_1 (@ tptp.ap X2))) (@ (@ tptp.imp (@ (@ (@ tptp.e_is X1) (@ _let_1 X3)) (@ _let_1 X4))) (@ (@ (@ tptp.e_is X0) X3) X4)))))))))) 0.41/0.65 (declare-fun tptp.image ($$unsorted $$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.image (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.l_some X0) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.e_is X1) X3) (@ (@ tptp.ap X2) X4))))))) 0.41/0.65 (declare-fun tptp.tofs ($$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.tofs (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ tptp.ap __flatten_var_0) __flatten_var_1)))) 0.41/0.65 (declare-fun tptp.soft ($$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.soft (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.ind X0) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.e_is X1) X3) (@ (@ tptp.ap X2) X4))))))) 0.41/0.65 (declare-fun tptp.inverse ($$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.inverse (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sigma X1) (lambda ((X3 $$unsorted)) (@ (@ (@ tptp.if (@ (@ (@ (@ tptp.image X0) X1) X2) X3)) (@ (@ (@ (@ tptp.soft X0) X1) X2) X3)) tptp.emptyset)))))) 0.41/0.65 (declare-fun tptp.surjective ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.surjective (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X1) (@ (@ (@ tptp.image X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.bijective ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.bijective (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_and (@ (@ (@ tptp.injective X0) X1) X2)) (@ (@ (@ tptp.surjective X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.invf ($$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.invf (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sigma X1) (@ (@ (@ tptp.soft X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.inj_h ($$unsorted $$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.inj_h (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (@ (@ tptp.d_Sigma X0) (lambda ((X5 $$unsorted)) (@ (@ tptp.ap X4) (@ (@ tptp.ap X3) X5))))))) 0.41/0.65 (declare-fun tptp.e_in ($$unsorted (-> $$unsorted Bool) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.e_in (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) X2))) 0.41/0.65 (declare-fun tptp.out ($$unsorted (-> $$unsorted Bool) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.out (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ (@ tptp.d_Sep X0) X1))) (@ (@ (@ (@ tptp.soft _let_1) X0) (@ (@ tptp.d_Sigma _let_1) (@ (@ tptp.e_in X0) X1))) __flatten_var_0))))) 0.41/0.65 (declare-fun tptp.d_pair ($$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_pair (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ tptp.pair __flatten_var_0) __flatten_var_1)))) 0.41/0.65 (declare-fun tptp.first ($$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.first (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted)) (@ tptp.proj0 __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.second ($$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.second (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted)) (@ tptp.proj1 __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.prop1 (Bool $$unsorted $$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.prop1 (lambda ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (@ (@ tptp.e_is X1) X4))) (@ (@ tptp.d_and (@ (@ tptp.imp X0) (@ _let_1 X2))) (@ (@ tptp.imp (@ tptp.d_not X0)) (@ _let_1 X3))))))) 0.41/0.65 (declare-fun tptp.ite (Bool $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ite (lambda ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.ind X1) (@ (@ (@ (@ tptp.prop1 X0) X1) X2) X3))))) 0.41/0.65 (declare-fun tptp.wissel_wa ($$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.wissel_wa (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ (@ (@ tptp.ite (@ (@ (@ tptp.e_is X0) X3) X1)) X0) X2) X3)))) 0.41/0.65 (declare-fun tptp.wissel_wb ($$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.wissel_wb (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ (@ (@ tptp.ite (@ (@ (@ tptp.e_is X0) X3) X2)) X0) X1) (@ (@ (@ (@ tptp.wissel_wa X0) X1) X2) X3))))) 0.41/0.65 (declare-fun tptp.wissel ($$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.wissel (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sigma X0) (@ (@ (@ tptp.wissel_wb X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.changef ($$unsorted $$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.changef (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (@ (@ tptp.d_Sigma X0) (lambda ((X5 $$unsorted)) (@ (@ tptp.ap X2) (@ (@ tptp.ap (@ (@ (@ tptp.wissel X0) X3) X4)) X5))))))) 0.41/0.65 (declare-fun tptp.r_ec (Bool Bool) Bool) 0.41/0.65 (assert (= tptp.r_ec (lambda ((X0 Bool) (X1 Bool)) (=> X0 (@ tptp.d_not X1))))) 0.41/0.65 (declare-fun tptp.esti ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.esti (lambda ((X0 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ tptp.in __flatten_var_0) __flatten_var_1)))) 0.41/0.65 (declare-fun tptp.empty ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.empty (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (@ (@ tptp.non X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.esti X0) X2) X1))))))) 0.41/0.65 (declare-fun tptp.nonempty ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.nonempty (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.l_some X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.esti X0) X2) X1)))))) 0.41/0.65 (declare-fun tptp.incl ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.incl (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X3 $$unsorted)) (let ((_let_1 (@ (@ tptp.esti X0) X3))) (@ (@ tptp.imp (@ _let_1 X1)) (@ _let_1 X2)))))))) 0.41/0.65 (declare-fun tptp.st_disj ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.st_disj (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X3 $$unsorted)) (let ((_let_1 (@ (@ tptp.esti X0) X3))) (@ (@ tptp.l_ec (@ _let_1 X1)) (@ _let_1 X2)))))))) 0.41/0.65 (declare-fun tptp.nissetprop ($$unsorted $$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.nissetprop (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (@ (@ tptp.esti X0) X3))) (@ (@ tptp.d_and (@ _let_1 X1)) (@ tptp.d_not (@ _let_1 X2))))))) 0.41/0.65 (declare-fun tptp.unmore ($$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.unmore (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sep X0) (lambda ((X3 $$unsorted)) (@ (@ tptp.l_some X1) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.esti X0) X3) (@ (@ tptp.ap X2) X4))))))))) 0.41/0.65 (declare-fun tptp.ecelt ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ecelt (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted)) (@ (@ tptp.d_Sep X0) (@ X1 X2))))) 0.41/0.65 (declare-fun tptp.ecp ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.ecp (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ (@ tptp.e_is (@ tptp.power X0)) X2) (@ (@ (@ tptp.ecelt X0) X1) X3))))) 0.41/0.65 (declare-fun tptp.anec ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted) Bool) 0.41/0.65 (assert (= tptp.anec (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted)) (@ (@ tptp.l_some X0) (@ (@ (@ tptp.ecp X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.ect ($$unsorted (-> $$unsorted $$unsorted Bool)) $$unsorted) 0.41/0.65 (assert (= tptp.ect (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool))) (@ (@ tptp.d_Sep (@ tptp.power X0)) (@ (@ tptp.anec X0) X1))))) 0.41/0.65 (declare-fun tptp.ectset ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ectset (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.out (@ tptp.power X0)) (@ (@ tptp.anec X0) X1)) __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.ectelt ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ectelt (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted)) (@ (@ (@ tptp.ectset X0) X1) (@ (@ (@ tptp.ecelt X0) X1) X2))))) 0.41/0.65 (declare-fun tptp.ecect ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.ecect (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.e_in (@ tptp.power X0)) (@ (@ tptp.anec X0) X1)) __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.fixfu ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.fixfu (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.all_of (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) X0))) (lambda ((X4 $$unsorted)) (@ (@ tptp.all_of (lambda ((X5 $$unsorted)) (@ (@ tptp.in X5) X0))) (lambda ((X5 $$unsorted)) (let ((_let_1 (@ tptp.ap X3))) (=> (@ (@ X1 X4) X5) (@ (@ (@ tptp.e_is X2) (@ _let_1 X4)) (@ _let_1 X5))))))))))) 0.41/0.65 (declare-fun tptp.d_10_prop1 ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_10_prop1 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (@ (@ tptp.d_and (@ (@ (@ tptp.esti X0) X6) (@ (@ (@ tptp.ecect X0) X1) X4))) (@ (@ (@ tptp.e_is X2) (@ (@ tptp.ap X3) X6)) X5))))) 0.41/0.65 (declare-fun tptp.prop2 ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.prop2 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (@ (@ tptp.l_some X0) (@ (@ (@ (@ (@ (@ tptp.d_10_prop1 X0) X1) X2) X3) X4) X5))))) 0.41/0.65 (declare-fun tptp.indeq ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.indeq (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (@ (@ tptp.ind X2) (@ (@ (@ (@ (@ tptp.prop2 X0) X1) X2) X3) X4))))) 0.41/0.65 (declare-fun tptp.fixfu2 ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.fixfu2 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.all_of (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) X0))) (lambda ((X4 $$unsorted)) (@ (@ tptp.all_of (lambda ((X5 $$unsorted)) (@ (@ tptp.in X5) X0))) (lambda ((X5 $$unsorted)) (@ (@ tptp.all_of (lambda ((X6 $$unsorted)) (@ (@ tptp.in X6) X0))) (lambda ((X6 $$unsorted)) (@ (@ tptp.all_of (lambda ((X7 $$unsorted)) (@ (@ tptp.in X7) X0))) (lambda ((X7 $$unsorted)) (let ((_let_1 (@ tptp.ap X3))) (=> (@ (@ X1 X4) X5) (=> (@ (@ X1 X6) X7) (@ (@ (@ tptp.e_is X2) (@ (@ tptp.ap (@ _let_1 X4)) X6)) (@ (@ tptp.ap (@ _let_1 X5)) X7)))))))))))))))) 0.41/0.65 (declare-fun tptp.d_11_i ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.d_11_i (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ (@ (@ (@ tptp.indeq X0) X1) (@ (@ tptp.d_Pi X0) (lambda ((X3 $$unsorted)) X2))) __flatten_var_0) __flatten_var_1)))) 0.41/0.65 (declare-fun tptp.indeq2 ($$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted $$unsorted $$unsorted) $$unsorted) 0.41/0.65 (assert (= tptp.indeq2 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (__flatten_var_0 $$unsorted)) (@ (@ (@ (@ (@ tptp.indeq X0) X1) X2) (@ (@ (@ (@ (@ tptp.d_11_i X0) X1) X2) X3) X4)) __flatten_var_0)))) 0.41/0.65 (declare-fun tptp.nat () $$unsorted) 0.41/0.65 (assert (= tptp.nat (@ (@ tptp.d_Sep tptp.omega) (lambda ((X0 $$unsorted)) (not (= X0 tptp.emptyset)))))) 0.41/0.65 (declare-fun tptp.n_is ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.n_is (@ tptp.e_is tptp.nat))) 0.41/0.65 (declare-fun tptp.nis ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.nis (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ tptp.d_not (@ (@ tptp.n_is X0) X1))))) 0.41/0.65 (declare-fun tptp.n_in ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.n_in (@ tptp.esti tptp.nat))) 0.41/0.65 (declare-fun tptp.n_some ((-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.n_some (@ tptp.l_some tptp.nat))) 0.41/0.65 (declare-fun tptp.n_all ((-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.n_all (@ tptp.all tptp.nat))) 0.41/0.65 (declare-fun tptp.n_one ((-> $$unsorted Bool)) Bool) 0.41/0.65 (assert (= tptp.n_one (@ tptp.one tptp.nat))) 0.41/0.65 (declare-fun tptp.n_1 () $$unsorted) 0.41/0.65 (assert (= tptp.n_1 (@ tptp.ordsucc tptp.emptyset))) 0.41/0.65 (declare-fun tptp.cond1 ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.cond1 (@ tptp.n_in tptp.n_1))) 0.41/0.65 (declare-fun tptp.cond2 ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.cond2 (lambda ((X0 $$unsorted)) (@ tptp.n_all (lambda ((X1 $$unsorted)) (@ (@ tptp.imp (@ (@ tptp.n_in X1) X0)) (@ (@ tptp.n_in (@ tptp.ordsucc X1)) X0))))))) 0.41/0.65 (declare-fun tptp.i1_s ((-> $$unsorted Bool)) $$unsorted) 0.41/0.65 (assert (= tptp.i1_s (@ tptp.d_Sep tptp.nat))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sep X0) X1)) (@ X1 X2)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (@ (@ tptp.d_Subq X0) X1) (=> (@ (@ tptp.d_Subq X1) X0) (= X0 X1))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (= (@ (@ tptp.pair (@ tptp.proj0 X2)) (@ tptp.proj1 X2)) X2)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (@ (@ tptp.d_Subq X1) X0) (@ (@ tptp.in X1) (@ tptp.power X0))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.d_Pi X0) (lambda ((X3 $$unsorted)) X1))))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) (@ (@ tptp.d_Pi X0) (lambda ((X4 $$unsorted)) X1))))) (lambda ((X3 $$unsorted)) (=> (@ (@ tptp.all_of (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) X0))) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.e_is X1) (@ (@ tptp.ap X2) X4)) (@ (@ tptp.ap X3) X4)))) (@ (@ (@ tptp.e_is (@ (@ tptp.d_Pi X0) (lambda ((X4 $$unsorted)) X1))) X2) X3)))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Pi X0) X1)) (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) (@ (@ tptp.d_Pi X0) X1)) (=> (forall ((X4 $$unsorted)) (=> (@ (@ tptp.in X4) X0) (= (@ (@ tptp.ap X2) X4) (@ (@ tptp.ap X3) X4)))) (= X2 X3))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (=> (@ tptp.nat_p X0) (or (= X0 tptp.emptyset) (exists ((X1 $$unsorted)) (and (@ tptp.nat_p X1) (= X0 (@ tptp.ordsucc X1)))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (=> (@ (@ tptp.one X0) X1) (@ (@ tptp.is_of (@ (@ tptp.ind X0) X1)) (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.is_of (@ (@ tptp.d_Sep X0) X1)) (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ tptp.power X0)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted) (X3 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Pi X0) X1)) (=> (@ (@ tptp.in X3) X0) (@ (@ tptp.in (@ (@ tptp.ap X2) X3)) (@ X1 X3)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (not (= (@ tptp.ordsucc X0) tptp.emptyset)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (@ tptp.proj0 (@ (@ tptp.pair X0) X1)) X0))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.setprod X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.e_is (@ (@ tptp.setprod X0) X1)) (@ (@ (@ (@ tptp.d_pair X0) X1) (@ (@ (@ tptp.first X0) X1) X2)) (@ (@ (@ tptp.second X0) X1) X2))) X2))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (let ((_let_1 (@ (@ tptp.d_Sep X0) X1))) (=> (@ X1 X2) (@ (@ (@ (@ tptp.image _let_1) X0) (@ (@ tptp.d_Sigma _let_1) (@ (@ tptp.e_in X0) X1))) X2))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 (-> $$unsorted $$unsorted))) (let ((_let_1 (@ tptp.d_Sigma X0))) (=> (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X0) (= (@ X1 X3) (@ X2 X3)))) (= (@ _let_1 X1) (@ _let_1 X2)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (=> (@ _let_1 X0) (=> (@ X1 X2) (@ _let_1 (@ (@ tptp.d_Sep X0) X1))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) (@ tptp.power X0)))) (lambda ((X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ tptp.power X0)))) (lambda ((X2 $$unsorted)) (let ((_let_1 (@ tptp.incl X0))) (=> (@ (@ _let_1 X1) X2) (=> (@ (@ _let_1 X2) X1) (@ (@ (@ tptp.e_is (@ tptp.power X0)) X1) X2)))))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (=> (@ _let_1 (@ (@ tptp.d_Sep X0) X1)) (@ _let_1 X0))))) 0.41/0.65 (assert (forall ((X0 (-> $$unsorted Bool))) (=> (@ X0 tptp.emptyset) (=> (forall ((X1 $$unsorted)) (=> (@ tptp.nat_p X1) (=> (@ X0 X1) (@ X0 (@ tptp.ordsucc X1))))) (forall ((X1 $$unsorted)) (=> (@ tptp.nat_p X1) (@ X0 X1))))))) 0.41/0.65 (assert (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (@ (@ (@ tptp.if X0) X1) X2))) (or (= _let_1 X2) (= _let_1 X1))))) 0.41/0.65 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.nis (@ tptp.ordsucc X0)) tptp.n_1)))) 0.41/0.65 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.is_of (@ tptp.ordsucc X0)) (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (= (@ (@ tptp.in X2) (@ (@ tptp.repl X0) X1)) (exists ((X3 $$unsorted)) (and (= X2 (@ X1 X3)) (@ (@ tptp.in X3) X0)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (=> (@ tptp.nat_p X0) (@ (@ tptp.in X0) tptp.omega)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 (-> $$unsorted $$unsorted))) (=> (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X0) (@ (@ tptp.in (@ X2 X3)) (@ X1 X3)))) (@ (@ tptp.in (@ (@ tptp.d_Sigma X0) X2)) (@ (@ tptp.d_Pi X0) X1))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (@ tptp.proj1 (@ (@ tptp.pair X0) X1)) X1))) 0.41/0.65 (assert (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (=> X0 (= (@ (@ (@ tptp.if X0) X1) X2) X1)))) 0.41/0.65 (assert (@ (@ tptp.in tptp.emptyset) (@ tptp.ordsucc tptp.emptyset))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (exists ((X2 $$unsorted)) (and (@ (@ tptp.in X1) X2) (@ (@ tptp.in X2) X0))) (@ (@ tptp.in X1) (@ tptp.union X0))))) 0.41/0.65 (assert (@ tptp.nat_p (@ tptp.ordsucc tptp.emptyset))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))) (lambda ((X3 $$unsorted)) (@ (@ (@ tptp.e_is X1) (@ (@ (@ tptp.second X0) X1) (@ (@ (@ (@ tptp.d_pair X0) X1) X2) X3))) X3))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (let ((_let_1 (@ (@ tptp.d_Sep X0) X1))) (@ (@ (@ tptp.injective _let_1) X0) (@ (@ tptp.d_Sigma _let_1) (@ (@ tptp.e_in X0) X1)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (=> (@ (@ (@ tptp.esti X0) X2) (@ (@ tptp.d_Sep X0) X1)) (@ X1 X2)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) X0))) (lambda ((X1 $$unsorted)) (@ (@ (@ tptp.e_is X0) X1) X1))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (= (@ tptp.ordsucc X0) (@ tptp.ordsucc X1)) (= X0 X1)))) 0.41/0.65 (assert (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (@ (@ (@ tptp.if X0) X1) X2))) (or (and (= _let_1 X2) (not X0)) (and X0 (= _let_1 X1)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) X0) (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) (@ X1 X2)) (@ (@ tptp.in (@ (@ tptp.pair X2) X3)) (@ (@ tptp.d_Sigma X0) X1))))))) 0.41/0.65 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) (@ tptp.power tptp.nat)))) (lambda ((X0 $$unsorted)) (=> (@ tptp.cond1 X0) (=> (@ tptp.cond2 X0) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (@ (@ tptp.n_in X1) X0)))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (@ (@ tptp.in X1) (@ tptp.power X0)) (@ (@ tptp.d_Subq X1) X0)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))) (lambda ((X3 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ (@ tptp.d_pair X0) X1) X2) X3)) (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) (@ (@ tptp.setprod X0) X1)))))))))) 0.41/0.65 (assert (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (@ tptp.if X0))) (=> (=> X0 (@ (@ tptp.in X1) X2)) (@ (@ tptp.in (@ (@ _let_1 X1) tptp.emptyset)) (@ (@ _let_1 X2) (@ tptp.ordsucc tptp.emptyset))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.setprod X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ tptp.first X0) X1) X2)) (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0))))))) 0.41/0.65 (assert (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (=> (not X0) (= (@ (@ (@ tptp.if X0) X1) X2) X2)))) 0.41/0.65 (assert (@ (@ tptp.is_of tptp.n_1) (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (=> (@ (@ tptp.one X0) X1) (@ X1 (@ (@ tptp.ind X0) X1))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (=> (@ (@ tptp.in X0) tptp.omega) (@ tptp.nat_p X0)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (@ (@ tptp.in (@ tptp.proj1 X2)) (@ X1 (@ tptp.proj0 X2)))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (let ((_let_1 (@ tptp.proj1 X2))) (let ((_let_2 (@ tptp.proj0 X2))) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (and (@ (@ tptp.in _let_2) X0) (@ (@ tptp.in _let_1) (@ X1 _let_2)) (= (@ (@ tptp.pair _let_2) _let_1) X2))))))) 0.41/0.65 (assert (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (@ tptp.in X1))) (=> X0 (=> (@ _let_1 (@ (@ (@ tptp.if X0) X2) X3)) (@ _let_1 X2)))))) 0.41/0.65 (assert (forall ((X0 (-> $$unsorted Bool))) (=> (forall ((X1 $$unsorted)) (=> (forall ((X2 $$unsorted)) (=> (@ (@ tptp.in X2) X1) (@ X0 X2))) (@ X0 X1))) (forall ((X1 $$unsorted)) (@ X0 X1))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (@ (@ tptp.in X0) (@ tptp.power X0)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (@ (@ tptp.in (@ tptp.proj0 X2)) X0)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))) (lambda ((X3 $$unsorted)) (@ (@ (@ tptp.e_is X0) (@ (@ (@ tptp.first X0) X1) (@ (@ (@ (@ tptp.d_pair X0) X1) X2) X3))) X2))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.setprod X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ tptp.second X0) X1) X2)) (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))))))) 0.41/0.65 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (=> (@ (@ tptp.n_is (@ tptp.ordsucc X0)) (@ tptp.ordsucc X1)) (@ (@ tptp.n_is X0) X1))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (@ (@ tptp.in X0) (@ tptp.univof X0)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.d_Sep X0) X1)))) (lambda ((X2 $$unsorted)) (@ X1 (@ (@ (@ tptp.e_in X0) X1) X2)))))) 0.41/0.65 (assert (forall ((X0 Bool)) (=> (@ tptp.wel X0) X0))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0))) (lambda ((X3 $$unsorted)) (=> (@ X1 X2) (=> (@ (@ (@ tptp.e_is X0) X2) X3) (@ X1 X3))))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (=> (@ tptp.nat_p X0) (@ tptp.nat_p (@ tptp.ordsucc X0))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.d_Sep X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ tptp.e_in X0) X1) X2)) (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (@ (@ tptp.d_Subq X1) X0) (@ (@ tptp.in X1) (@ tptp.power X0))))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) X0) (= (@ (@ tptp.ap (@ (@ tptp.d_Sigma X0) X1)) X2) (@ X1 X2))))) 0.41/0.65 (assert (not (exists ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.emptyset)))) 0.41/0.65 (assert (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (=> (@ X1 X2) (@ (@ (@ tptp.esti X0) X2) (@ (@ tptp.d_Sep X0) X1))))))) 0.41/0.65 (assert (forall ((X0 $$unsorted)) (@ tptp.d_ZF_closed (@ tptp.univof X0)))) 0.41/0.65 (declare-fun tptp.d_22_prop1 ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_22_prop1 (lambda ((X0 $$unsorted)) (@ (@ tptp.nis (@ tptp.ordsucc X0)) X0)))) 0.41/0.65 (declare-fun tptp.d_23_prop1 ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_23_prop1 (lambda ((X0 $$unsorted)) (@ (@ tptp.l_or (@ (@ tptp.n_is X0) tptp.n_1)) (@ tptp.n_some (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is X0) (@ tptp.ordsucc X1)))))))) 0.41/0.65 (declare-fun tptp.d_24_prop1 ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_24_prop1 (lambda ((X0 $$unsorted)) (@ tptp.n_all (lambda ((X1 $$unsorted)) (let ((_let_1 (@ tptp.ap X0))) (@ (@ tptp.n_is (@ _let_1 (@ tptp.ordsucc X1))) (@ tptp.ordsucc (@ _let_1 X1))))))))) 0.41/0.65 (declare-fun tptp.d_24_prop2 ($$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.d_24_prop2 (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.d_and (@ (@ tptp.n_is (@ (@ tptp.ap X1) tptp.n_1)) (@ tptp.ordsucc X0))) (@ tptp.d_24_prop1 X1))))) 0.41/0.65 (declare-fun tptp.prop3 ($$unsorted $$unsorted $$unsorted) Bool) 0.41/0.65 (assert (= tptp.prop3 (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.ap X0) X2)) (@ (@ tptp.ap X1) X2))))) 0.41/0.65 (declare-fun tptp.prop4 ($$unsorted) Bool) 0.41/0.65 (assert (= tptp.prop4 (lambda ((X0 $$unsorted)) (@ (@ tptp.l_some (@ (@ tptp.d_Pi tptp.nat) (lambda ((X1 $$unsorted)) tptp.nat))) (@ tptp.d_24_prop2 X0))))) 39.76/40.01 (declare-fun tptp.d_24_g ($$unsorted) $$unsorted) 39.76/40.01 (assert (= tptp.d_24_g (lambda ((X0 $$unsorted)) (@ (@ tptp.d_Sigma tptp.nat) (lambda ((X1 $$unsorted)) (@ tptp.ordsucc (@ (@ tptp.ap X0) X1))))))) 39.76/40.01 (declare-fun tptp.plus ($$unsorted) $$unsorted) 39.76/40.01 (assert (= tptp.plus (lambda ((X0 $$unsorted)) (@ (@ tptp.ind (@ (@ tptp.d_Pi tptp.nat) (lambda ((X1 $$unsorted)) tptp.nat))) (@ tptp.d_24_prop2 X0))))) 39.76/40.01 (declare-fun tptp.n_pl ($$unsorted $$unsorted) $$unsorted) 39.76/40.01 (assert (= tptp.n_pl (lambda ((X0 $$unsorted) (__flatten_var_0 $$unsorted)) (@ (@ tptp.ap (@ tptp.plus X0)) __flatten_var_0)))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (let ((_let_1 (@ tptp.n_pl X0))) (@ (@ tptp.n_is (@ _let_1 (@ tptp.ordsucc X1))) (@ tptp.ordsucc (@ _let_1 X1))))))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.nis (@ tptp.ordsucc X0)) X0)))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.n_is (@ tptp.ordsucc X0)) (@ (@ tptp.n_pl X0) tptp.n_1))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (=> (@ (@ tptp.nis X0) tptp.n_1) (@ tptp.n_some (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is X0) (@ tptp.ordsucc X1)))))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.one (@ (@ tptp.d_Pi tptp.nat) (lambda ((X1 $$unsorted)) tptp.nat))) (lambda ((X1 $$unsorted)) (@ (@ tptp.d_and (@ (@ tptp.n_is (@ (@ tptp.ap X1) tptp.n_1)) (@ tptp.ordsucc X0))) (@ tptp.n_all (lambda ((X2 $$unsorted)) (let ((_let_1 (@ tptp.ap X1))) (@ (@ tptp.n_is (@ _let_1 (@ tptp.ordsucc X2))) (@ tptp.ordsucc (@ _let_1 X2)))))))))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.n_pl X0) tptp.n_1)) (@ tptp.ordsucc X0))))) 39.76/40.01 (assert (not (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (let ((_let_1 (@ tptp.n_pl X0))) (@ (@ tptp.n_is (@ tptp.ordsucc (@ _let_1 X1))) (@ _let_1 (@ tptp.ordsucc X1)))))))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.n_pl tptp.n_1) X0)) (@ tptp.ordsucc X0))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (=> (@ (@ tptp.nis X0) tptp.n_1) (@ tptp.n_one (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is X0) (@ tptp.ordsucc X1)))))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (=> (@ (@ tptp.nis X0) X1) (@ (@ tptp.nis (@ tptp.ordsucc X0)) (@ tptp.ordsucc X1)))))))) 39.76/40.01 (assert (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.n_pl (@ tptp.ordsucc X0)) X1)) (@ tptp.ordsucc (@ (@ tptp.n_pl X0) X1)))))))) 39.76/40.01 (set-info :filename cvc5---1.0.5_8309) 39.76/40.01 (check-sat-assuming ( true )) 39.76/40.01 ------- get file name : TPTP file name is 39.76/40.01 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8309.smt2... 39.76/40.01 --- Run --ho-elim --full-saturate-quant at 10... 39.76/40.01 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10... 39.76/40.01 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10... 39.76/40.01 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 39.76/40.01 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5... 39.76/40.01 % SZS status Theorem for 39.76/40.01 % SZS output start Proof for 40.88/41.18 ( 40.88/41.18 (let ((_let_1 (not (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (let ((_let_1 (@ tptp.n_pl X0))) (@ (@ tptp.n_is (@ tptp.ordsucc (@ _let_1 X1))) (@ _let_1 (@ tptp.ordsucc X1))))))))))) (let ((_let_2 (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (let ((_let_1 (@ tptp.n_pl X0))) (@ (@ tptp.n_is (@ _let_1 (@ tptp.ordsucc X1))) (@ tptp.ordsucc (@ _let_1 X1)))))))))) (let ((_let_3 (= tptp.n_pl (lambda ((X0 $$unsorted) (__flatten_var_0 $$unsorted)) (@ (@ tptp.ap (@ tptp.plus X0)) __flatten_var_0))))) (let ((_let_4 (= tptp.plus (lambda ((X0 $$unsorted)) (@ (@ tptp.ind (@ (@ tptp.d_Pi tptp.nat) (lambda ((X1 $$unsorted)) tptp.nat))) (@ tptp.d_24_prop2 X0)))))) (let ((_let_5 (= tptp.d_24_g (lambda ((X0 $$unsorted)) (@ (@ tptp.d_Sigma tptp.nat) (lambda ((X1 $$unsorted)) (@ tptp.ordsucc (@ (@ tptp.ap X0) X1)))))))) (let ((_let_6 (= tptp.prop4 (lambda ((X0 $$unsorted)) (@ (@ tptp.l_some (@ (@ tptp.d_Pi tptp.nat) (lambda ((X1 $$unsorted)) tptp.nat))) (@ tptp.d_24_prop2 X0)))))) (let ((_let_7 (= tptp.prop3 (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.ap X0) X2)) (@ (@ tptp.ap X1) X2)))))) (let ((_let_8 (= tptp.d_24_prop2 (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.d_and (@ (@ tptp.n_is (@ (@ tptp.ap X1) tptp.n_1)) (@ tptp.ordsucc X0))) (@ tptp.d_24_prop1 X1)))))) (let ((_let_9 (= tptp.d_24_prop1 (lambda ((X0 $$unsorted)) (@ tptp.n_all (lambda ((X1 $$unsorted)) (let ((_let_1 (@ tptp.ap X0))) (@ (@ tptp.n_is (@ _let_1 (@ tptp.ordsucc X1))) (@ tptp.ordsucc (@ _let_1 X1)))))))))) (let ((_let_10 (= tptp.d_23_prop1 (lambda ((X0 $$unsorted)) (@ (@ tptp.l_or (@ (@ tptp.n_is X0) tptp.n_1)) (@ tptp.n_some (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is X0) (@ tptp.ordsucc X1))))))))) (let ((_let_11 (= tptp.d_22_prop1 (lambda ((X0 $$unsorted)) (@ (@ tptp.nis (@ tptp.ordsucc X0)) X0))))) (let ((_let_12 (@ tptp.ordsucc tptp.emptyset))) (let ((_let_13 (= tptp.i1_s (@ tptp.d_Sep tptp.nat)))) (let ((_let_14 (= tptp.cond2 (lambda ((X0 $$unsorted)) (@ tptp.n_all (lambda ((X1 $$unsorted)) (@ (@ tptp.imp (@ (@ tptp.n_in X1) X0)) (@ (@ tptp.n_in (@ tptp.ordsucc X1)) X0)))))))) (let ((_let_15 (= tptp.cond1 (@ tptp.n_in tptp.n_1)))) (let ((_let_16 (= tptp.n_1 _let_12))) (let ((_let_17 (= tptp.n_one (@ tptp.one tptp.nat)))) (let ((_let_18 (= tptp.n_all (@ tptp.all tptp.nat)))) (let ((_let_19 (= tptp.n_some (@ tptp.l_some tptp.nat)))) (let ((_let_20 (= tptp.n_in (@ tptp.esti tptp.nat)))) (let ((_let_21 (= tptp.nis (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ tptp.d_not (@ (@ tptp.n_is X0) X1)))))) (let ((_let_22 (= tptp.n_is (@ tptp.e_is tptp.nat)))) (let ((_let_23 (@ tptp.d_Sep tptp.omega))) (let ((_let_24 (= tptp.nat (@ _let_23 (lambda ((X0 $$unsorted)) (not (= X0 tptp.emptyset))))))) (let ((_let_25 (= tptp.indeq2 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (__flatten_var_0 $$unsorted)) (@ (@ (@ (@ (@ tptp.indeq X0) X1) X2) (@ (@ (@ (@ (@ tptp.d_11_i X0) X1) X2) X3) X4)) __flatten_var_0))))) (let ((_let_26 (= tptp.d_11_i (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ (@ (@ (@ tptp.indeq X0) X1) (@ (@ tptp.d_Pi X0) (lambda ((X3 $$unsorted)) X2))) __flatten_var_0) __flatten_var_1))))) (let ((_let_27 (= tptp.fixfu2 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.all_of (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) X0))) (lambda ((X4 $$unsorted)) (@ (@ tptp.all_of (lambda ((X5 $$unsorted)) (@ (@ tptp.in X5) X0))) (lambda ((X5 $$unsorted)) (@ (@ tptp.all_of (lambda ((X6 $$unsorted)) (@ (@ tptp.in X6) X0))) (lambda ((X6 $$unsorted)) (@ (@ tptp.all_of (lambda ((X7 $$unsorted)) (@ (@ tptp.in X7) X0))) (lambda ((X7 $$unsorted)) (let ((_let_1 (@ tptp.ap X3))) (=> (@ (@ X1 X4) X5) (=> (@ (@ X1 X6) X7) (@ (@ (@ tptp.e_is X2) (@ (@ tptp.ap (@ _let_1 X4)) X6)) (@ (@ tptp.ap (@ _let_1 X5)) X7))))))))))))))))) (let ((_let_28 (= tptp.indeq (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (@ (@ tptp.ind X2) (@ (@ (@ (@ (@ tptp.prop2 X0) X1) X2) X3) X4)))))) (let ((_let_29 (= tptp.prop2 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (@ (@ tptp.l_some X0) (@ (@ (@ (@ (@ (@ tptp.d_10_prop1 X0) X1) X2) X3) X4) X5)))))) (let ((_let_30 (= tptp.d_10_prop1 (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (@ (@ tptp.d_and (@ (@ (@ tptp.esti X0) X6) (@ (@ (@ tptp.ecect X0) X1) X4))) (@ (@ (@ tptp.e_is X2) (@ (@ tptp.ap X3) X6)) X5)))))) (let ((_let_31 (= tptp.fixfu (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.all_of (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) X0))) (lambda ((X4 $$unsorted)) (@ (@ tptp.all_of (lambda ((X5 $$unsorted)) (@ (@ tptp.in X5) X0))) (lambda ((X5 $$unsorted)) (let ((_let_1 (@ tptp.ap X3))) (=> (@ (@ X1 X4) X5) (@ (@ (@ tptp.e_is X2) (@ _let_1 X4)) (@ _let_1 X5)))))))))))) (let ((_let_32 (= tptp.ecect (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.e_in (@ tptp.power X0)) (@ (@ tptp.anec X0) X1)) __flatten_var_0))))) (let ((_let_33 (= tptp.ectelt (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted)) (@ (@ (@ tptp.ectset X0) X1) (@ (@ (@ tptp.ecelt X0) X1) X2)))))) (let ((_let_34 (= tptp.ectset (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.out (@ tptp.power X0)) (@ (@ tptp.anec X0) X1)) __flatten_var_0))))) (let ((_let_35 (= tptp.ect (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool))) (@ (@ tptp.d_Sep (@ tptp.power X0)) (@ (@ tptp.anec X0) X1)))))) (let ((_let_36 (= tptp.anec (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted)) (@ (@ tptp.l_some X0) (@ (@ (@ tptp.ecp X0) X1) X2)))))) (let ((_let_37 (= tptp.ecp (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ (@ tptp.e_is (@ tptp.power X0)) X2) (@ (@ (@ tptp.ecelt X0) X1) X3)))))) (let ((_let_38 (= tptp.ecelt (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted Bool)) (X2 $$unsorted)) (@ (@ tptp.d_Sep X0) (@ X1 X2)))))) (let ((_let_39 (= tptp.unmore (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sep X0) (lambda ((X3 $$unsorted)) (@ (@ tptp.l_some X1) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.esti X0) X3) (@ (@ tptp.ap X2) X4)))))))))) (let ((_let_40 (= tptp.nissetprop (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (@ (@ tptp.esti X0) X3))) (@ (@ tptp.d_and (@ _let_1 X1)) (@ tptp.d_not (@ _let_1 X2)))))))) (let ((_let_41 (= tptp.st_disj (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X3 $$unsorted)) (let ((_let_1 (@ (@ tptp.esti X0) X3))) (@ (@ tptp.l_ec (@ _let_1 X1)) (@ _let_1 X2))))))))) (let ((_let_42 (= tptp.incl (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X3 $$unsorted)) (let ((_let_1 (@ (@ tptp.esti X0) X3))) (@ (@ tptp.imp (@ _let_1 X1)) (@ _let_1 X2))))))))) (let ((_let_43 (= tptp.nonempty (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.l_some X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.esti X0) X2) X1))))))) (let ((_let_44 (= tptp.empty (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (@ (@ tptp.non X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.esti X0) X2) X1)))))))) (let ((_let_45 (= tptp.esti (lambda ((X0 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ tptp.in __flatten_var_0) __flatten_var_1))))) (let ((_let_46 (= tptp.r_ec (lambda ((X0 Bool) (X1 Bool)) (=> X0 (@ tptp.d_not X1)))))) (let ((_let_47 (= tptp.changef (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (@ (@ tptp.d_Sigma X0) (lambda ((X5 $$unsorted)) (@ (@ tptp.ap X2) (@ (@ tptp.ap (@ (@ (@ tptp.wissel X0) X3) X4)) X5)))))))) (let ((_let_48 (= tptp.wissel (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sigma X0) (@ (@ (@ tptp.wissel_wb X0) X1) X2)))))) (let ((_let_49 (= tptp.wissel_wb (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ (@ (@ tptp.ite (@ (@ (@ tptp.e_is X0) X3) X2)) X0) X1) (@ (@ (@ (@ tptp.wissel_wa X0) X1) X2) X3)))))) (let ((_let_50 (= tptp.wissel_wa (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ (@ (@ tptp.ite (@ (@ (@ tptp.e_is X0) X3) X1)) X0) X2) X3))))) (let ((_let_51 (= tptp.ite (lambda ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.ind X1) (@ (@ (@ (@ tptp.prop1 X0) X1) X2) X3)))))) (let ((_let_52 (= tptp.prop1 (lambda ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (@ (@ tptp.e_is X1) X4))) (@ (@ tptp.d_and (@ (@ tptp.imp X0) (@ _let_1 X2))) (@ (@ tptp.imp (@ tptp.d_not X0)) (@ _let_1 X3)))))))) (let ((_let_53 (= tptp.second (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted)) (@ tptp.proj1 __flatten_var_0))))) (let ((_let_54 (= tptp.first (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted)) (@ tptp.proj0 __flatten_var_0))))) (let ((_let_55 (= tptp.d_pair (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ tptp.pair __flatten_var_0) __flatten_var_1))))) (let ((_let_56 (= tptp.out (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ (@ tptp.d_Sep X0) X1))) (@ (@ (@ (@ tptp.soft _let_1) X0) (@ (@ tptp.d_Sigma _let_1) (@ (@ tptp.e_in X0) X1))) __flatten_var_0)))))) (let ((_let_57 (= tptp.e_in (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) X2)))) (let ((_let_58 (= tptp.inj_h (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (@ (@ tptp.d_Sigma X0) (lambda ((X5 $$unsorted)) (@ (@ tptp.ap X4) (@ (@ tptp.ap X3) X5)))))))) (let ((_let_59 (= tptp.invf (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sigma X1) (@ (@ (@ tptp.soft X0) X1) X2)))))) (let ((_let_60 (= tptp.bijective (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_and (@ (@ (@ tptp.injective X0) X1) X2)) (@ (@ (@ tptp.surjective X0) X1) X2)))))) (let ((_let_61 (= tptp.surjective (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X1) (@ (@ (@ tptp.image X0) X1) X2)))))) (let ((_let_62 (= tptp.inverse (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.d_Sigma X1) (lambda ((X3 $$unsorted)) (@ (@ (@ tptp.if (@ (@ (@ (@ tptp.image X0) X1) X2) X3)) (@ (@ (@ (@ tptp.soft X0) X1) X2) X3)) tptp.emptyset))))))) (let ((_let_63 (= tptp.soft (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.ind X0) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.e_is X1) X3) (@ (@ tptp.ap X2) X4)))))))) (let ((_let_64 (= tptp.tofs (lambda ((X0 $$unsorted) (X1 $$unsorted) (__flatten_var_0 $$unsorted) (__flatten_var_1 $$unsorted)) (@ (@ tptp.ap __flatten_var_0) __flatten_var_1))))) (let ((_let_65 (= tptp.image (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (@ (@ tptp.l_some X0) (lambda ((X4 $$unsorted)) (@ (@ (@ tptp.e_is X1) X3) (@ (@ tptp.ap X2) X4)))))))) (let ((_let_66 (= tptp.injective (lambda ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X3 $$unsorted)) (@ (@ tptp.all X0) (lambda ((X4 $$unsorted)) (let ((_let_1 (@ tptp.ap X2))) (@ (@ tptp.imp (@ (@ (@ tptp.e_is X1) (@ _let_1 X3)) (@ _let_1 X4))) (@ (@ (@ tptp.e_is X0) X3) X4))))))))))) (let ((_let_67 (= tptp.ind (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ tptp.eps (lambda ((X2 $$unsorted)) (and (@ (@ tptp.in X2) X0) (@ X1 X2)))))))) (let ((_let_68 (= tptp.one (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.d_and (@ (@ tptp.amone X0) X1)) (@ (@ tptp.l_some X0) X1)))))) (let ((_let_69 (= tptp.amone (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0))) (lambda ((X3 $$unsorted)) (=> (@ X1 X2) (=> (@ X1 X3) (@ (@ (@ tptp.e_is X0) X2) X3))))))))))) (let ((_let_70 (= tptp.e_is (lambda ((X0 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= X Y))))) (let ((_let_71 (= tptp.orec3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ tptp.d_and (@ (@ (@ tptp.or3 X0) X1) X2)) (@ (@ (@ tptp.ec3 X0) X1) X2)))))) (let ((_let_72 (= tptp.ec3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ (@ tptp.and3 (@ (@ tptp.l_ec X0) X1)) (@ (@ tptp.l_ec X1) X2)) (@ (@ tptp.l_ec X2) X0)))))) (let ((_let_73 (= tptp.and3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ tptp.d_and X0) (@ (@ tptp.d_and X1) X2)))))) (let ((_let_74 (= tptp.or3 (lambda ((X0 Bool) (X1 Bool) (X2 Bool)) (@ (@ tptp.l_or X0) (@ (@ tptp.l_or X1) X2)))))) (let ((_let_75 (= tptp.l_some (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ tptp.d_not (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (@ (@ tptp.non X0) X1))))))) (let ((_let_76 (= tptp.non (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) (@ tptp.d_not (@ X1 X2)))))) (let ((_let_77 (= tptp.all (lambda ((X0 $$unsorted) (__flatten_var_0 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) X0))) __flatten_var_0))))) (let ((_let_78 (= tptp.l_iff (lambda ((X0 Bool) (X1 Bool)) (@ (@ tptp.d_and (@ (@ tptp.imp X0) X1)) (@ (@ tptp.imp X1) X0)))))) (let ((_let_79 (= tptp.orec (lambda ((X0 Bool) (X1 Bool)) (@ (@ tptp.d_and (@ (@ tptp.l_or X0) X1)) (@ (@ tptp.l_ec X0) X1)))))) (let ((_let_80 (= tptp.l_or (lambda ((X0 Bool) (__flatten_var_0 Bool)) (@ (@ tptp.imp (@ tptp.d_not X0)) __flatten_var_0))))) (let ((_let_81 (= tptp.d_and (lambda ((X0 Bool) (X1 Bool)) (@ tptp.d_not (@ (@ tptp.l_ec X0) X1)))))) (let ((_let_82 (= tptp.l_ec (lambda ((X0 Bool) (X1 Bool)) (@ (@ tptp.imp X0) (@ tptp.d_not X1)))))) (let ((_let_83 (= tptp.obvious (@ (@ tptp.imp false) false)))) (let ((_let_84 (= tptp.wel (lambda ((X0 Bool)) (@ tptp.d_not (@ tptp.d_not X0)))))) (let ((_let_85 (= tptp.d_not (lambda ((X0 Bool)) (@ (@ tptp.imp X0) false))))) (let ((_let_86 (= tptp.imp (lambda ((X0 Bool) (X1 Bool)) (=> X0 X1))))) (let ((_let_87 (= tptp.d_Pi (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.d_Sep (@ tptp.power (@ (@ tptp.d_Sigma X0) (lambda ((X2 $$unsorted)) (@ tptp.union (@ X1 X2)))))) (lambda ((X2 $$unsorted)) (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X0) (@ (@ tptp.in (@ (@ tptp.ap X2) X3)) (@ X1 X3)))))))))) (let ((_let_88 (= tptp.pair_p (lambda ((X0 $$unsorted)) (let ((_let_1 (@ tptp.ap X0))) (= (@ (@ tptp.pair (@ _let_1 tptp.emptyset)) (@ _let_1 (@ tptp.ordsucc tptp.emptyset))) X0)))))) (let ((_let_89 (= tptp.ap (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X2 $$unsorted)) (exists ((X3 $$unsorted)) (= X2 (@ (@ tptp.pair X1) X3))))) tptp.proj1))))) (let ((_let_90 (= tptp.setprod (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.d_Sigma X0) (lambda ((X2 $$unsorted)) X1)))))) (let ((_let_91 (= tptp.d_Sigma (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.famunion X0) (lambda ((X2 $$unsorted)) (@ (@ tptp.repl (@ X1 X2)) (@ tptp.pair X2)))))))) (let ((_let_92 (= tptp.proj1 (lambda ((X0 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X1 $$unsorted)) (exists ((X2 $$unsorted)) (= (@ tptp.d_Inj1 X2) X1)))) tptp.d_Unj))))) (let ((_let_93 (= tptp.proj0 (lambda ((X0 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X1 $$unsorted)) (exists ((X2 $$unsorted)) (= (@ tptp.d_Inj0 X2) X1)))) tptp.d_Unj))))) (let ((_let_94 (= tptp.pair (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.binunion (@ (@ tptp.repl X0) tptp.d_Inj0)) (@ (@ tptp.repl X1) tptp.d_Inj1)))))) (let ((_let_95 (= tptp.d_Unj (@ tptp.d_In_rec (lambda ((X0 $$unsorted) (__flatten_var_0 (-> $$unsorted $$unsorted))) (@ (@ tptp.repl (@ (@ tptp.setminus X0) (@ tptp.d_Sing tptp.emptyset))) __flatten_var_0)))))) (let ((_let_96 (= tptp.d_Inj0 (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) tptp.d_Inj1))))) (let ((_let_97 (= tptp.d_Inj1 (@ tptp.d_In_rec (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.binunion (@ tptp.d_Sing tptp.emptyset)) (@ (@ tptp.repl X0) X1))))))) (let ((_let_98 (= tptp.omega (@ (@ tptp.d_Sep (@ tptp.univof tptp.emptyset)) tptp.nat_p)))) (let ((_let_99 (= tptp.nat_p (lambda ((X0 $$unsorted)) (forall ((X1 (-> $$unsorted Bool))) (=> (@ X1 tptp.emptyset) (=> (forall ((X2 $$unsorted)) (=> (@ X1 X2) (@ X1 (@ tptp.ordsucc X2)))) (@ X1 X0)))))))) (let ((_let_100 (= tptp.ordsucc (lambda ((X0 $$unsorted)) (@ (@ tptp.binunion X0) (@ tptp.d_Sing X0)))))) (let ((_let_101 (= tptp.d_In_rec (lambda ((X0 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) (X1 $$unsorted)) (@ tptp.eps (@ (@ tptp.d_In_rec_G X0) X1)))))) (let ((_let_102 (= tptp.d_In_rec_G (lambda ((X0 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) (X1 $$unsorted) (X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (=> (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (=> (forall ((X6 $$unsorted)) (=> (@ (@ tptp.in X6) X4) (@ (@ X3 X6) (@ X5 X6)))) (@ (@ X3 X4) (@ (@ X0 X4) X5)))) (@ (@ X3 X1) X2))))))) (let ((_let_103 (= tptp.setminus (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.d_Sep X0) (lambda ((X2 $$unsorted)) (@ (@ tptp.nIn X2) X1))))))) (let ((_let_104 (= tptp.d_ReplSep (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (__flatten_var_0 (-> $$unsorted $$unsorted))) (@ (@ tptp.repl (@ (@ tptp.d_Sep X0) X1)) __flatten_var_0))))) (let ((_let_105 (= tptp.d_Sep (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ (@ tptp.if (exists ((X2 $$unsorted)) (and (@ (@ tptp.in X2) X0) (@ X1 X2)))) (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.if (@ X1 X2)) X2) (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X0) (@ X1 X3)))))))) tptp.emptyset))))) (let ((_let_106 (= tptp.famunion (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ tptp.union (@ (@ tptp.repl X0) X1)))))) (let ((_let_107 (= tptp.binunion (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ tptp.union (@ (@ tptp.d_UPair X0) X1)))))) (let ((_let_108 (= tptp.d_Sing (lambda ((X0 $$unsorted)) (@ (@ tptp.d_UPair X0) X0))))) (let ((_let_109 (= tptp.d_UPair (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.if (@ (@ tptp.in tptp.emptyset) X2)) X0) X1))))))) (let ((_let_110 (= tptp.nIn (lambda ((X0 $$unsorted) (X1 $$unsorted)) (not (@ (@ tptp.in X0) X1)))))) (let ((_let_111 (= tptp.if (lambda ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (@ tptp.eps (lambda ((X3 $$unsorted)) (or (and X0 (= X3 X1)) (and (not X0) (= X3 X2))))))))) (let ((_let_112 (= tptp.d_ZF_closed (lambda ((X0 $$unsorted)) (and (@ tptp.d_Union_closed X0) (@ tptp.d_Power_closed X0) (@ tptp.d_Repl_closed X0)))))) (let ((_let_113 (= tptp.d_Repl_closed (lambda ((X0 $$unsorted)) (forall ((X1 $$unsorted)) (=> (@ (@ tptp.in X1) X0) (forall ((X2 (-> $$unsorted $$unsorted))) (=> (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X1) (@ (@ tptp.in (@ X2 X3)) X0))) (@ (@ tptp.in (@ (@ tptp.repl X1) X2)) X0))))))))) (let ((_let_114 (= tptp.d_Power_closed (lambda ((X0 $$unsorted)) (forall ((X1 $$unsorted)) (=> (@ (@ tptp.in X1) X0) (@ (@ tptp.in (@ tptp.power X1)) X0))))))) (let ((_let_115 (= tptp.d_Union_closed (lambda ((X0 $$unsorted)) (forall ((X1 $$unsorted)) (=> (@ (@ tptp.in X1) X0) (@ (@ tptp.in (@ tptp.union X1)) X0))))))) (let ((_let_116 (= tptp.d_Subq (lambda ((X0 $$unsorted) (X1 $$unsorted)) (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (=> (@ _let_1 X0) (@ _let_1 X1)))))))) (let ((_let_117 (= tptp.all_of (lambda ((X0 (-> $$unsorted Bool)) (X1 (-> $$unsorted Bool))) (forall ((X2 $$unsorted)) (=> (@ (@ tptp.is_of X2) X0) (@ X1 X2))))))) (let ((_let_118 (= tptp.is_of (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ X1 X0))))) (let ((_let_119 (forall ((X2 $$unsorted)) (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_28991)))))))) (or (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2))))) (or (and _let_1 (= X2 BOUND_VARIABLE_4702)) (and (not _let_1) (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X3)))))))))))))) BOUND_VARIABLE_29151)) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29151)))))))) (= tptp.emptyset X2))))) (or (and (not _let_1) (= X3 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_29186 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda 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BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X3)))))))))))))) BOUND_VARIABLE_29186)) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29186))))))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (= tptp.emptyset X2))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.eps (lambda ((BOUND_VARIABLE_29166 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((BOUND_VARIABLE_29093 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_29046 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) 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$$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_54130) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda 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(or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_51683))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ tptp.in BOUND_VARIABLE_29014) (@ tptp.univof 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(-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_54643) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in 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((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ 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(lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ 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tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 BOUND_VARIABLE_57173))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))) (not (forall ((BOUND_VARIABLE_54810 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_54810) (@ tptp.eps (lambda ((BOUND_VARIABLE_45271 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda 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tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_51683))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29186 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ 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tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_51683))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X3)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29186))))))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (= tptp.emptyset X2))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.eps (lambda ((BOUND_VARIABLE_29166 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_51683))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29166 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((BOUND_VARIABLE_29093 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_29046 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_51683))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ tptp.in BOUND_VARIABLE_29014) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_51683 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_51683))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29014)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29166))))))) (not (= tptp.emptyset X3))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_52573 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45446 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_52573))) (or (and _let_1 (= BOUND_VARIABLE_45446 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_54810) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl BOUND_VARIABLE_6379) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6432)))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_54810) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ 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_let_1))))))))))))))))) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45459 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_52218 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_52218))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37798 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37879 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37798))) (or (and _let_1 (= BOUND_VARIABLE_37879 BOUND_VARIABLE_54810)) (and (not _let_1) (= BOUND_VARIABLE_37879 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= 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((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X0) (not (forall ((X2 $$unsorted)) (not (= X3 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_49899 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_49899))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45245))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45224 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_49851 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_49851))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_45224 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_49851 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_49851))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_49851 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_49851))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45224))))))) X5))))) (@ (@ X3 X1) X2))))))))) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50162 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45298 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50162))) (or (and _let_1 (= BOUND_VARIABLE_45298 BOUND_VARIABLE_57173)) (and (not _let_1) (= BOUND_VARIABLE_45298 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48841 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46557 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_46557 BOUND_VARIABLE_57173))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_48841))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))) (not (forall ((BOUND_VARIABLE_55158 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_55158) (@ tptp.eps (lambda ((BOUND_VARIABLE_45271 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50055 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50055))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= BOUND_VARIABLE_5170 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48647 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46444 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_46444))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_48647))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))))))))))))) (@ X1 BOUND_VARIABLE_28991)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29151 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50055 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50055))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= BOUND_VARIABLE_5170 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48647 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46444 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_46444))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_48647))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))))))))))))) (@ X1 X2))))) (or (and _let_1 (= X2 BOUND_VARIABLE_4702)) (and (not _let_1) (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50055 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) 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(forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50055 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50055))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= BOUND_VARIABLE_5170 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48647 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46444 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_46444))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_48647))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29166 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((BOUND_VARIABLE_29093 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_29046 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50055 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50055))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= BOUND_VARIABLE_5170 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48647 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46444 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_46444))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_48647))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ tptp.in BOUND_VARIABLE_29014) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50055 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50055))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= BOUND_VARIABLE_5170 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48647 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46444 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_46444))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_48647))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))))))))))))) (@ X1 BOUND_VARIABLE_29014)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29166))))))) (not (= tptp.emptyset X3))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_50041 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45211 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_50041))) (or (and _let_1 (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_55158) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) 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(lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ 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(lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_55158) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38195))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38182 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ 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_let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48546 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46345 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_46345 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_55158) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ 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(@ tptp.eps (lambda ((BOUND_VARIABLE_45258 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42304 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_49983 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_49983))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37798 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37879 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37798))) (or (and _let_1 (= BOUND_VARIABLE_37879 BOUND_VARIABLE_55158)) (and (not _let_1) (= BOUND_VARIABLE_37879 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_48566 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_46364 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_46364 BOUND_VARIABLE_55158))) 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$$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl BOUND_VARIABLE_6379) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ 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((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_55325) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) 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BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 BOUND_VARIABLE_6059) X2)))))) X0))))) (or (and (not _let_1) (= BOUND_VARIABLE_38182 (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (not (= X2 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X0) (not (forall ((X2 $$unsorted)) (not (= X3 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45446 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_49566 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_47359 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_47359 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_55325) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ 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(@ tptp.in tptp.emptyset) BOUND_VARIABLE_81455))) (or (and _let_1 (= BOUND_VARIABLE_45298 BOUND_VARIABLE_87110)) (and (not _let_1) (= BOUND_VARIABLE_45298 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 BOUND_VARIABLE_87110))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))) (not (forall ((BOUND_VARIABLE_84091 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_84091) (@ tptp.eps (lambda ((BOUND_VARIABLE_45271 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_28991)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29151 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2))))) (or (and _let_1 (= X2 BOUND_VARIABLE_4702)) (and (not _let_1) (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 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X2))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.eps (lambda ((BOUND_VARIABLE_29166 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29166 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((BOUND_VARIABLE_29093 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_29046 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ tptp.in BOUND_VARIABLE_29014) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29014)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29166))))))) (not (= tptp.emptyset X3))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81276 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45211 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81276))) (or (and _let_1 (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84091) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84091) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not 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(@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda 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(@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ 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tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84091) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84091) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ 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$$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79564 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79564))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45245))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45224 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79516 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79516))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_45224 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79516 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79516))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79516 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79516))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45224))))))) X5))))) (@ (@ X3 X1) X2))))))))) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81455 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45298 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81455))) (or (and _let_1 (= BOUND_VARIABLE_45298 BOUND_VARIABLE_87110)) (and (not _let_1) (= BOUND_VARIABLE_45298 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 BOUND_VARIABLE_87110))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))) (not (forall ((BOUND_VARIABLE_84258 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_84258) (@ tptp.eps (lambda ((BOUND_VARIABLE_45271 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_28991)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29151 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2))))) (or (and _let_1 (= X2 BOUND_VARIABLE_4702)) (and (not _let_1) (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.univof tptp.emptyset)) (forall 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$$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29186 (@ (@ tptp.repl (@ tptp.univof 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tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X3)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29186))))))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (= tptp.emptyset X2))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) (@ tptp.eps (lambda ((BOUND_VARIABLE_29166 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 X2)))))))) (or (and (not _let_1) (= BOUND_VARIABLE_29166 (@ (@ tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((BOUND_VARIABLE_29093 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_29046 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ tptp.in BOUND_VARIABLE_29014) (@ tptp.univof tptp.emptyset)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29014)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29166))))))) (not (= tptp.emptyset X3))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_82238 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45446 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_82238))) (or (and _let_1 (= BOUND_VARIABLE_45446 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84258) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl BOUND_VARIABLE_6379) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6432)))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84258) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> 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(lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38195))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38182 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted 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tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= 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((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45446 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84258) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= 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_let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6432)))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84258) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 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tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 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((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_78211 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_76010 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_76010 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84606) (lambda 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(forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79720 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79720))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= BOUND_VARIABLE_5170 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_78312 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_76109 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_76109))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_78312))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ 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(@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84773) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) 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(lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84773) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 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(@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_80632 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_80632))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37798 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37879 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37798))) (or (and _let_1 (= BOUND_VARIABLE_37879 BOUND_VARIABLE_84773)) (and (not _let_1) (= BOUND_VARIABLE_37879 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_78231 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_76029 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_76029 BOUND_VARIABLE_84773))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_78231))) (or (and _let_2 _let_1) (and (not _let_2) 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_let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_45258 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37832 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37907 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37832))) (or (and _let_1 (= BOUND_VARIABLE_37907 BOUND_VARIABLE_85135)) (and (not _let_1) (= BOUND_VARIABLE_37907 (@ (@ tptp.repl (@ tptp.power 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tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) 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(@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45258))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45245 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ 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(@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))) BOUND_VARIABLE_45245)) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45245))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45224 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ 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_let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))) BOUND_VARIABLE_45224)) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45224))))))) X5))))) (@ (@ X3 X1) X2))))))))) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45211 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) 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BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38195))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38182 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 BOUND_VARIABLE_6059) X2)))))) X0))))) (or (and (not _let_1) (= BOUND_VARIABLE_38182 (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (not (= X2 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X0) (not (forall ((X2 $$unsorted)) (not (= X3 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda 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tptp.repl (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= X3 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset X3))))))) X5))))) (@ (@ X3 X1) X2)))))))))))))) (let ((_let_122 (not _let_120))) (let ((_let_123 (ASSUME :args (_let_118)))) (let ((_let_124 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_117)) (MACRO_SR_EQ_INTRO :args (_let_117 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO _let_123 :args ((= tptp.all_of (lambda ((X0 (-> $$unsorted Bool)) (X1 (-> $$unsorted Bool))) (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.is_of X2) X0)) (@ X1 X2))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_116)) (MACRO_SR_EQ_INTRO :args (_let_116 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_115)) (MACRO_SR_EQ_INTRO :args (_let_115 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_114)) (MACRO_SR_EQ_INTRO :args (_let_114 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_113)) (MACRO_SR_EQ_INTRO :args (_let_113 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_112)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_112 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_111)) (MACRO_SR_EQ_INTRO :args (_let_111 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (ASSUME :args (_let_110)))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_109)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_109 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_108)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_108 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_107)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_107 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (ASSUME :args (_let_106)))) (let ((_let_136 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_105)) (MACRO_SR_EQ_INTRO :args (_let_105 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.d_Sep (lambda ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ (@ tptp.if (not (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) X0)) (not (@ X1 X2)))))) (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ (@ (@ tptp.if (@ X1 X2)) X2) (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X0) (@ X1 X3)))))))) tptp.emptyset))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_104)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_104 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_103)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_103 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_102)) (MACRO_SR_EQ_INTRO :args (_let_102 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_101)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_101 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_100)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_100 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_99)) (MACRO_SR_EQ_INTRO :args (_let_99 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.nat_p (lambda ((X0 $$unsorted)) (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.ordsucc X2))))) (@ X1 X0))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_98)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_98 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_97)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_97 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_96)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_96 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_95)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_95 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_94)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_94 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_93)) (MACRO_SR_EQ_INTRO :args (_let_93 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.proj0 (lambda ((X0 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X1 $$unsorted)) (not (forall ((X2 $$unsorted)) (not (= X1 (@ tptp.d_Inj0 X2))))))) tptp.d_Unj))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_92)) (MACRO_SR_EQ_INTRO :args (_let_92 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.proj1 (lambda ((X0 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X1 $$unsorted)) (not (forall ((X2 $$unsorted)) (not (= X1 (@ tptp.d_Inj1 X2))))))) tptp.d_Unj))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_91)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_91 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_90)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_90 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_89)) (MACRO_SR_EQ_INTRO :args (_let_89 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.ap (lambda ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ (@ tptp.d_ReplSep X0) (lambda ((X2 $$unsorted)) (not (forall ((X3 $$unsorted)) (not (= X2 (@ (@ tptp.pair X1) X3))))))) tptp.proj1))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_88)) (MACRO_SR_EQ_INTRO :args (_let_88 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.pair_p (lambda ((X0 $$unsorted)) (let ((_let_1 (@ tptp.ap X0))) (= X0 (@ (@ tptp.pair (@ _let_1 tptp.emptyset)) (@ _let_1 (@ tptp.ordsucc tptp.emptyset))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_87)) (MACRO_SR_EQ_INTRO :args (_let_87 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.d_Pi (lambda ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted))) (@ (@ tptp.d_Sep (@ tptp.power (@ (@ tptp.d_Sigma X0) (lambda ((X2 $$unsorted)) (@ tptp.union (@ X1 X2)))))) (lambda ((X2 $$unsorted)) (forall ((X3 $$unsorted)) (or (not (@ (@ tptp.in X3) X0)) (@ (@ tptp.in (@ (@ tptp.ap X2) X3)) (@ X1 X3)))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (ASSUME :args (_let_86)))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_85)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_85 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_84)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_84 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (MACRO_SR_PRED_TRANSFORM (EQ_RESOLVE (ASSUME :args (_let_83)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_83 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.obvious true))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_82)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_82 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_81)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_81 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_80)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_80 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (EQ_RESOLVE (ASSUME :args (_let_79)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_79 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_163 (EQ_RESOLVE (ASSUME :args (_let_78)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_78 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_77)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_77 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (EQ_RESOLVE (ASSUME :args (_let_76)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_76 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_75)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_75 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_74)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_74 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_73)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_73 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (EQ_RESOLVE (ASSUME :args (_let_72)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_72 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_71)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_71 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (ASSUME :args (_let_70)))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_69)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_69 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_68)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_68 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (ASSUME :args (_let_67)))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_66)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_66 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_65)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_65 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args (_let_64)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_64 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_63)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_63 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_62)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_62 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_61)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_61 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_60)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_60 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_59)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_59 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (EQ_RESOLVE (ASSUME :args (_let_58)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_58 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_184 (ASSUME :args (_let_57)))) (let ((_let_185 (EQ_RESOLVE (ASSUME :args (_let_56)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_56 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_186 (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_55 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_187 (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_54 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_188 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_189 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_190 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_191 (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_50 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_192 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_193 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_47 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_196 (ASSUME :args (_let_45)))) (let ((_let_197 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_198 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_199 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_201 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_202 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_204 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_206 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_208 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_209 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_210 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_211 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_212 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_217 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= tptp.nat (@ _let_23 (lambda ((X0 $$unsorted)) (not (= tptp.emptyset X0))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_218 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_219 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_220 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_221 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_222 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_223 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_224 (EQ_RESOLVE (SYMM (ASSUME :args (_let_16))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args ((= _let_12 tptp.n_1) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_225 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_226 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_227 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_228 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_229 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_230 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_231 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_232 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_233 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_234 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_235 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_236 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123) :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123))) (let ((_let_237 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO _let_236 :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_OR_ELIM _let_237 :args (1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO _let_236 :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_120 (= X1 X1) (= BOUND_VARIABLE_57173 BOUND_VARIABLE_87110) (= X3 X3) (= X2 X2) (= BOUND_VARIABLE_29151 BOUND_VARIABLE_29151) (= BOUND_VARIABLE_28991 BOUND_VARIABLE_28991) (= X2 X2) (= X2 X2) (= X5 X5) (= BOUND_VARIABLE_5170 BOUND_VARIABLE_5170) (= BOUND_VARIABLE_5015 BOUND_VARIABLE_5015) (= X3 X3) (= BOUND_VARIABLE_4986 BOUND_VARIABLE_4986) (= X2 X2) (= BOUND_VARIABLE_4702 BOUND_VARIABLE_4702) (= X3 X3) (= BOUND_VARIABLE_29186 BOUND_VARIABLE_29186) (= BOUND_VARIABLE_29166 BOUND_VARIABLE_29166) (= BOUND_VARIABLE_29093 BOUND_VARIABLE_29093) (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29046) (= BOUND_VARIABLE_29014 BOUND_VARIABLE_29014) (= BOUND_VARIABLE_6379 BOUND_VARIABLE_6379) (= BOUND_VARIABLE_6432 BOUND_VARIABLE_6432) (= BOUND_VARIABLE_46043 BOUND_VARIABLE_83700) (= BOUND_VARIABLE_46118 BOUND_VARIABLE_83775) (= X0 X0) (= X1 X1) (= X2 X2) (= X4 X4) (= BOUND_VARIABLE_5605 BOUND_VARIABLE_5605) (= BOUND_VARIABLE_5548 BOUND_VARIABLE_5548) (= BOUND_VARIABLE_5306 BOUND_VARIABLE_5306) (= BOUND_VARIABLE_5289 BOUND_VARIABLE_5289) (= X6 X6) (= BOUND_VARIABLE_5701 BOUND_VARIABLE_5701) (= BOUND_VARIABLE_5648 BOUND_VARIABLE_5648) (= X2 X2) (= BOUND_VARIABLE_45314 BOUND_VARIABLE_45314) (= BOUND_VARIABLE_39840 BOUND_VARIABLE_39840) (= BOUND_VARIABLE_39230 BOUND_VARIABLE_39230) (= BOUND_VARIABLE_39240 BOUND_VARIABLE_39240) (= X2 X2) (= BOUND_VARIABLE_40704 BOUND_VARIABLE_40704) (= BOUND_VARIABLE_40066 BOUND_VARIABLE_40066) (= BOUND_VARIABLE_40076 BOUND_VARIABLE_40076) (= X1 X1) (= BOUND_VARIABLE_7687 BOUND_VARIABLE_7687) (= X3 X3) (= BOUND_VARIABLE_8829 BOUND_VARIABLE_8829) (= BOUND_VARIABLE_42168 BOUND_VARIABLE_42168) (= X3 X3) (= BOUND_VARIABLE_6450 BOUND_VARIABLE_6450) (= X0 X0) (= BOUND_VARIABLE_8816 BOUND_VARIABLE_8816) (= BOUND_VARIABLE_6059 BOUND_VARIABLE_6059) (= BOUND_VARIABLE_6108 BOUND_VARIABLE_6108) (= X2 X2) (= BOUND_VARIABLE_8795 BOUND_VARIABLE_8795) (= BOUND_VARIABLE_7954 BOUND_VARIABLE_7954) (= BOUND_VARIABLE_5443 BOUND_VARIABLE_5443) (= BOUND_VARIABLE_39908 BOUND_VARIABLE_39908) (= BOUND_VARIABLE_40775 BOUND_VARIABLE_40775) (= BOUND_VARIABLE_8937 BOUND_VARIABLE_8937) (= BOUND_VARIABLE_42201 BOUND_VARIABLE_42201) (= BOUND_VARIABLE_8607 BOUND_VARIABLE_8607) (= BOUND_VARIABLE_8320 BOUND_VARIABLE_8320) (= BOUND_VARIABLE_8924 BOUND_VARIABLE_8924) (= BOUND_VARIABLE_8584 BOUND_VARIABLE_8584) (= BOUND_VARIABLE_8300 BOUND_VARIABLE_8300) (= BOUND_VARIABLE_8903 BOUND_VARIABLE_8903) (= BOUND_VARIABLE_8554 BOUND_VARIABLE_8554) (= BOUND_VARIABLE_8272 BOUND_VARIABLE_8272) (= BOUND_VARIABLE_40755 BOUND_VARIABLE_40755) (= BOUND_VARIABLE_40541 BOUND_VARIABLE_40541) (= BOUND_VARIABLE_40323 BOUND_VARIABLE_40323) (= BOUND_VARIABLE_40566 BOUND_VARIABLE_40566) (= BOUND_VARIABLE_40345 BOUND_VARIABLE_40345) (= BOUND_VARIABLE_39887 BOUND_VARIABLE_39887) (= BOUND_VARIABLE_39677 BOUND_VARIABLE_39677) (= BOUND_VARIABLE_39461 BOUND_VARIABLE_39461) (= BOUND_VARIABLE_39702 BOUND_VARIABLE_39702) (= BOUND_VARIABLE_39483 BOUND_VARIABLE_39483) (= BOUND_VARIABLE_39864 BOUND_VARIABLE_39864) (= BOUND_VARIABLE_39614 BOUND_VARIABLE_39614) (= BOUND_VARIABLE_39402 BOUND_VARIABLE_39402) (= BOUND_VARIABLE_39295 BOUND_VARIABLE_39295) (= BOUND_VARIABLE_39639 BOUND_VARIABLE_39639) (= BOUND_VARIABLE_39424 BOUND_VARIABLE_39424) (= BOUND_VARIABLE_39323 BOUND_VARIABLE_39323) (= BOUND_VARIABLE_40730 BOUND_VARIABLE_40730) (= BOUND_VARIABLE_40476 BOUND_VARIABLE_40476) (= BOUND_VARIABLE_40262 BOUND_VARIABLE_40262) (= BOUND_VARIABLE_40151 BOUND_VARIABLE_40151) (= BOUND_VARIABLE_40501 BOUND_VARIABLE_40501) (= BOUND_VARIABLE_40284 BOUND_VARIABLE_40284) (= BOUND_VARIABLE_40179 BOUND_VARIABLE_40179) (= BOUND_VARIABLE_8883 BOUND_VARIABLE_8883) (= BOUND_VARIABLE_42232 BOUND_VARIABLE_42232) (= BOUND_VARIABLE_8524 BOUND_VARIABLE_8524) (= BOUND_VARIABLE_8245 BOUND_VARIABLE_8245) (= BOUND_VARIABLE_8111 BOUND_VARIABLE_8111) (= BOUND_VARIABLE_8870 BOUND_VARIABLE_8870) (= BOUND_VARIABLE_8501 BOUND_VARIABLE_8501) (= BOUND_VARIABLE_8225 BOUND_VARIABLE_8225) (= BOUND_VARIABLE_8084 BOUND_VARIABLE_8084) (= BOUND_VARIABLE_8849 BOUND_VARIABLE_8849) (= BOUND_VARIABLE_8471 BOUND_VARIABLE_8471) (= BOUND_VARIABLE_8197 BOUND_VARIABLE_8197) (= BOUND_VARIABLE_8051 BOUND_VARIABLE_8051) (= BOUND_VARIABLE_45286 BOUND_VARIABLE_45286) (= BOUND_VARIABLE_42278 BOUND_VARIABLE_42278) (= BOUND_VARIABLE_7075 BOUND_VARIABLE_7075) (= BOUND_VARIABLE_38724 BOUND_VARIABLE_38724) (= BOUND_VARIABLE_7109 BOUND_VARIABLE_7109) (= BOUND_VARIABLE_38752 BOUND_VARIABLE_38752) (= BOUND_VARIABLE_45245 BOUND_VARIABLE_45245) (= BOUND_VARIABLE_45224 BOUND_VARIABLE_45224) (= BOUND_VARIABLE_45298 BOUND_VARIABLE_45298) (= BOUND_VARIABLE_54130 BOUND_VARIABLE_85135) (= BOUND_VARIABLE_45271 BOUND_VARIABLE_45271) (= BOUND_VARIABLE_45258 BOUND_VARIABLE_45258) (= BOUND_VARIABLE_42304 BOUND_VARIABLE_42304) (= BOUND_VARIABLE_37798 BOUND_VARIABLE_37798) (= BOUND_VARIABLE_37879 BOUND_VARIABLE_37879) (= BOUND_VARIABLE_37832 BOUND_VARIABLE_37832) (= BOUND_VARIABLE_37907 BOUND_VARIABLE_37907) (= BOUND_VARIABLE_45211 BOUND_VARIABLE_45211) (= BOUND_VARIABLE_38195 BOUND_VARIABLE_38195) (= BOUND_VARIABLE_42329 BOUND_VARIABLE_42329) (= BOUND_VARIABLE_38374 BOUND_VARIABLE_38374) (= BOUND_VARIABLE_38392 BOUND_VARIABLE_38392) (= BOUND_VARIABLE_38182 BOUND_VARIABLE_38182) (= BOUND_VARIABLE_38316 BOUND_VARIABLE_38316) (= BOUND_VARIABLE_38161 BOUND_VARIABLE_38161) (= BOUND_VARIABLE_38268 BOUND_VARIABLE_38268) (= BOUND_VARIABLE_45490 BOUND_VARIABLE_45490) (= BOUND_VARIABLE_45475 BOUND_VARIABLE_45475) (= BOUND_VARIABLE_54297 BOUND_VARIABLE_85302) (= BOUND_VARIABLE_45459 BOUND_VARIABLE_45459) (= BOUND_VARIABLE_45446 BOUND_VARIABLE_45446) (= BOUND_VARIABLE_46071 BOUND_VARIABLE_83728) (= BOUND_VARIABLE_46146 BOUND_VARIABLE_83803) (= BOUND_VARIABLE_45422 BOUND_VARIABLE_45422) (= BOUND_VARIABLE_44567 BOUND_VARIABLE_44567) (= BOUND_VARIABLE_43822 BOUND_VARIABLE_43822) (= BOUND_VARIABLE_42763 BOUND_VARIABLE_42763) (= BOUND_VARIABLE_44729 BOUND_VARIABLE_44729) (= BOUND_VARIABLE_43973 BOUND_VARIABLE_43973) (= BOUND_VARIABLE_42944 BOUND_VARIABLE_42944) (= BOUND_VARIABLE_44652 BOUND_VARIABLE_44652) (= BOUND_VARIABLE_43900 BOUND_VARIABLE_43900) (= BOUND_VARIABLE_42859 BOUND_VARIABLE_42859) (= BOUND_VARIABLE_44700 BOUND_VARIABLE_44700) (= BOUND_VARIABLE_43947 BOUND_VARIABLE_43947) (= BOUND_VARIABLE_42911 BOUND_VARIABLE_42911) (= BOUND_VARIABLE_44521 BOUND_VARIABLE_44521) (= BOUND_VARIABLE_43782 BOUND_VARIABLE_43782) (= BOUND_VARIABLE_42709 BOUND_VARIABLE_42709) (= BOUND_VARIABLE_44491 BOUND_VARIABLE_44491) (= BOUND_VARIABLE_43754 BOUND_VARIABLE_43754) (= BOUND_VARIABLE_42676 BOUND_VARIABLE_42676) (= BOUND_VARIABLE_44592 BOUND_VARIABLE_44592) (= BOUND_VARIABLE_43844 BOUND_VARIABLE_43844) (= BOUND_VARIABLE_42791 BOUND_VARIABLE_42791) (= BOUND_VARIABLE_44771 BOUND_VARIABLE_44771) (= BOUND_VARIABLE_44014 BOUND_VARIABLE_44014) (= BOUND_VARIABLE_43091 BOUND_VARIABLE_43091) (= BOUND_VARIABLE_42990 BOUND_VARIABLE_42990) (= BOUND_VARIABLE_45407 BOUND_VARIABLE_45407) (= BOUND_VARIABLE_44622 BOUND_VARIABLE_44622) (= BOUND_VARIABLE_43873 BOUND_VARIABLE_43873) (= BOUND_VARIABLE_42825 BOUND_VARIABLE_42825) (= BOUND_VARIABLE_45366 BOUND_VARIABLE_45366) (= BOUND_VARIABLE_45345 BOUND_VARIABLE_45345) (= BOUND_VARIABLE_54461 BOUND_VARIABLE_85466) (= BOUND_VARIABLE_45392 BOUND_VARIABLE_45392) (= BOUND_VARIABLE_45379 BOUND_VARIABLE_45379) (= BOUND_VARIABLE_44544 BOUND_VARIABLE_44544) (= BOUND_VARIABLE_43802 BOUND_VARIABLE_43802) (= BOUND_VARIABLE_42736 BOUND_VARIABLE_42736) (= BOUND_VARIABLE_45332 BOUND_VARIABLE_45332) (= BOUND_VARIABLE_44451 BOUND_VARIABLE_44451) (= BOUND_VARIABLE_43717 BOUND_VARIABLE_43717) (= BOUND_VARIABLE_42632 BOUND_VARIABLE_42632) (= BOUND_VARIABLE_44428 BOUND_VARIABLE_44428) (= BOUND_VARIABLE_43697 BOUND_VARIABLE_43697) (= BOUND_VARIABLE_42605 BOUND_VARIABLE_42605) (= BOUND_VARIABLE_44398 BOUND_VARIABLE_44398) (= BOUND_VARIABLE_43669 BOUND_VARIABLE_43669) (= BOUND_VARIABLE_42572 BOUND_VARIABLE_42572) (= BOUND_VARIABLE_49781 BOUND_VARIABLE_79446) (= BOUND_VARIABLE_50872 BOUND_VARIABLE_80537) (= BOUND_VARIABLE_51683 BOUND_VARIABLE_81348) (= BOUND_VARIABLE_50409 BOUND_VARIABLE_80074) (= BOUND_VARIABLE_50305 BOUND_VARIABLE_79970) (= BOUND_VARIABLE_50323 BOUND_VARIABLE_79988) (= BOUND_VARIABLE_49899 BOUND_VARIABLE_79564) (= BOUND_VARIABLE_49851 BOUND_VARIABLE_79516) (= BOUND_VARIABLE_50746 BOUND_VARIABLE_80411) (= BOUND_VARIABLE_50545 BOUND_VARIABLE_80210) (= BOUND_VARIABLE_51803 BOUND_VARIABLE_81468) (= BOUND_VARIABLE_51821 BOUND_VARIABLE_81486) (= BOUND_VARIABLE_51790 BOUND_VARIABLE_81455) (= BOUND_VARIABLE_54643 BOUND_VARIABLE_84091) (= BOUND_VARIABLE_51624 BOUND_VARIABLE_81289) (= BOUND_VARIABLE_51642 BOUND_VARIABLE_81307) (= BOUND_VARIABLE_51611 BOUND_VARIABLE_81276) (= BOUND_VARIABLE_51179 BOUND_VARIABLE_80844) (= BOUND_VARIABLE_52318 BOUND_VARIABLE_81983) (= BOUND_VARIABLE_54810 BOUND_VARIABLE_84258) (= BOUND_VARIABLE_52218 BOUND_VARIABLE_81883) (= BOUND_VARIABLE_52573 BOUND_VARIABLE_82238) (= BOUND_VARIABLE_50890 BOUND_VARIABLE_80555) (= BOUND_VARIABLE_54974 BOUND_VARIABLE_84422) (= BOUND_VARIABLE_52205 BOUND_VARIABLE_81870) (= BOUND_VARIABLE_49746 BOUND_VARIABLE_79411) (= BOUND_VARIABLE_49725 BOUND_VARIABLE_79390) (= BOUND_VARIABLE_49759 BOUND_VARIABLE_79424) (= BOUND_VARIABLE_50055 BOUND_VARIABLE_79720) (= BOUND_VARIABLE_48647 BOUND_VARIABLE_78312) (= BOUND_VARIABLE_46444 BOUND_VARIABLE_76109) (= BOUND_VARIABLE_50175 BOUND_VARIABLE_79840) (= BOUND_VARIABLE_48761 BOUND_VARIABLE_78426) (= BOUND_VARIABLE_46576 BOUND_VARIABLE_76241) (= BOUND_VARIABLE_50193 BOUND_VARIABLE_79858) (= BOUND_VARIABLE_50162 BOUND_VARIABLE_79827) (= BOUND_VARIABLE_48841 BOUND_VARIABLE_78506) (= BOUND_VARIABLE_46557 BOUND_VARIABLE_76222) (= BOUND_VARIABLE_55158 BOUND_VARIABLE_84606) (= BOUND_VARIABLE_49983 BOUND_VARIABLE_79648) (= BOUND_VARIABLE_48566 BOUND_VARIABLE_78231) (= BOUND_VARIABLE_46364 BOUND_VARIABLE_76029) (= BOUND_VARIABLE_50001 BOUND_VARIABLE_79666) (= BOUND_VARIABLE_50041 BOUND_VARIABLE_79706) (= BOUND_VARIABLE_48546 BOUND_VARIABLE_78211) (= BOUND_VARIABLE_46345 BOUND_VARIABLE_76010) (= BOUND_VARIABLE_51080 BOUND_VARIABLE_80745) (= BOUND_VARIABLE_55325 BOUND_VARIABLE_84773) (= BOUND_VARIABLE_50967 BOUND_VARIABLE_80632) (= BOUND_VARIABLE_51497 BOUND_VARIABLE_81162) (= BOUND_VARIABLE_49566 BOUND_VARIABLE_79231) (= BOUND_VARIABLE_47359 BOUND_VARIABLE_77024) (= BOUND_VARIABLE_55489 BOUND_VARIABLE_84937) (= BOUND_VARIABLE_51012 BOUND_VARIABLE_80677) (= BOUND_VARIABLE_49205 BOUND_VARIABLE_78870) (= BOUND_VARIABLE_46999 BOUND_VARIABLE_76664))) (MACRO_SR_PRED_INTRO :args ((= (forall ((BOUND_VARIABLE_87110 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_87110) (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power 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$$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37798 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37879 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37798))) (or (and _let_1 (= BOUND_VARIABLE_37879 BOUND_VARIABLE_85135)) (and (not _let_1) (= BOUND_VARIABLE_37879 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 BOUND_VARIABLE_85135))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))) (lambda 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BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42304) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_45258 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37832 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37907 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37832))) (or (and _let_1 (= BOUND_VARIABLE_37907 BOUND_VARIABLE_85135)) (and (not _let_1) (= BOUND_VARIABLE_37907 (@ (@ tptp.repl (@ tptp.power 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tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) 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X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45258))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45245 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ 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tptp.repl X0) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (not (= X2 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not 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(@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))) BOUND_VARIABLE_45245)) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45245))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45224 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ 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_let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))) BOUND_VARIABLE_45224)) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45224))))))) X5))))) (@ (@ X3 X1) X2))))))))) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45211 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) X2))) (or (and _let_1 (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38195))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38182 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 BOUND_VARIABLE_6059) X2)))))) X0))))) (or (and (not _let_1) (= BOUND_VARIABLE_38182 (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (not (= X2 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 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(@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 X2) X2)))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_4986 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_85135) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ 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$$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda 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BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and 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tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))) (not (forall ((BOUND_VARIABLE_84091 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_84091) (@ tptp.eps (lambda ((BOUND_VARIABLE_45271 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (or (not (@ (@ tptp.in X2) (@ tptp.eps (lambda ((BOUND_VARIABLE_29151 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_28991 $$unsorted)) (or (not (@ (@ tptp.in BOUND_VARIABLE_28991) (@ tptp.univof tptp.emptyset))) (not (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power 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(or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= BOUND_VARIABLE_29046 BOUND_VARIABLE_29093)) (and (not _let_1) (= BOUND_VARIABLE_29046 (@ tptp.eps (lambda ((BOUND_VARIABLE_29014 $$unsorted)) (and (@ (@ tptp.in BOUND_VARIABLE_29014) (@ tptp.univof 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BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81276 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45211 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81276))) (or (and _let_1 (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84091) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted 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(-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ 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$$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79516 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79516))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_45224 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79516 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79516))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not 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tptp.repl (@ tptp.univof tptp.emptyset)) (lambda ((BOUND_VARIABLE_29093 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_29046 $$unsorted)) (let ((_let_1 (forall ((X1 (-> $$unsorted Bool))) (or (not (@ X1 tptp.emptyset)) (not (forall ((X2 $$unsorted)) (or (not (@ X1 X2)) (@ X1 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81348 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5170 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81348))) (or (and _let_1 (= X2 BOUND_VARIABLE_5170)) (and (not _let_1) (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= X2 BOUND_VARIABLE_4986))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5015))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29093))))) (or (and _let_1 (= 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BOUND_VARIABLE_5170))))))))))))) (@ X1 BOUND_VARIABLE_29014)))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_29166))))))) (not (= tptp.emptyset X3))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_82238 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45446 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_82238))) (or (and _let_1 (= BOUND_VARIABLE_45446 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84258) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) 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_let_1))))))))))))))))) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_45459 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6379 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_81883 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_81883))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37798 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37879 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37798))) (or (and _let_1 (= BOUND_VARIABLE_37879 BOUND_VARIABLE_84258)) (and (not _let_1) (= BOUND_VARIABLE_37879 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5015 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4986 $$unsorted)) (let ((_let_1 (= 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(and _let_1 (= tptp.emptyset BOUND_VARIABLE_29166))))))) (not (= tptp.emptyset X3))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_45271)))))))) (= (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79706 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_45211 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79706))) (or (and _let_1 (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84606) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda 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(@ (@ tptp.repl BOUND_VARIABLE_42329) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X3 $$unsorted)) (not (= X2 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38392 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6450 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38392))) (or (and _let_1 (= BOUND_VARIABLE_6450 (@ (@ tptp.repl BOUND_VARIABLE_84606) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5605 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5548 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5605))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (and (@ (@ tptp.in X3) X2) (not (forall ((X3 $$unsorted)) (not (= X3 (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) 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((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5548)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5548))))))))))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= (@ (@ tptp.repl X3) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))) BOUND_VARIABLE_6450)))))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38195))))))) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38182 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_6059 $$unsorted)) (not (@ (@ tptp.in (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38316 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6108 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38316))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_6108)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_6108))))))))))))) (@ (@ X3 BOUND_VARIABLE_6059) X2)))))) X0))))) (or (and (not _let_1) (= BOUND_VARIABLE_38182 (@ (@ tptp.repl X0) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (not (= X2 (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 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_let_1 (= tptp.emptyset BOUND_VARIABLE_38182))))))) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1))))))))))) (or (and (not _let_1) (= X2 BOUND_VARIABLE_4702)) (and _let_1 (= BOUND_VARIABLE_4702 (@ tptp.eps (lambda ((X3 $$unsorted)) (let ((_let_1 (@ tptp.in X3))) (and (@ _let_1 X4) (not (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))))))))))))) (and _let_1 (= tptp.emptyset BOUND_VARIABLE_38161))))))) X5))))) (@ (@ X3 X1) X2))))))))))) (and (not _let_1) (= BOUND_VARIABLE_45211 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_78211 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_76010 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_76010 (@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38195 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42329 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38374 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38374))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl BOUND_VARIABLE_84606) (lambda ((X0 $$unsorted)) (@ (@ tptp.repl X0) (lambda ((X1 $$unsorted)) (@ tptp.eps (lambda ((X2 $$unsorted)) (forall ((X3 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((X4 $$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ 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$$unsorted) (X5 (-> $$unsorted $$unsorted))) (or (not (forall ((X6 $$unsorted)) (or (not (@ (@ tptp.in X6) X4)) (@ (@ X3 X6) (@ X5 X6))))) (@ (@ X3 X4) (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5701 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5648 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5701))) (or (and _let_1 (= (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_5306 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5289 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5289))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_5306))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))) BOUND_VARIABLE_5648)) (and (not _let_1) (= (@ (@ tptp.repl X4) X5) BOUND_VARIABLE_5648))))))))))))) (@ (@ X3 X1) X2))))))))))))))))) X2))))) (or (and (not _let_1) (= BOUND_VARIABLE_38195 (@ (@ tptp.repl X2) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda 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(@ tptp.eps (lambda ((BOUND_VARIABLE_45258 $$unsorted)) (let ((_let_1 (forall ((BOUND_VARIABLE_42304 $$unsorted)) (not (@ (@ tptp.in (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_79648 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_6432 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_79648))) (or (and _let_1 (= BOUND_VARIABLE_6432 (@ (@ tptp.repl (@ tptp.union (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_37798 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_37879 $$unsorted)) (let ((_let_1 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_37798))) (or (and _let_1 (= BOUND_VARIABLE_37879 BOUND_VARIABLE_84606)) (and (not _let_1) (= BOUND_VARIABLE_37879 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_78231 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_76029 $$unsorted)) (let ((_let_1 (= BOUND_VARIABLE_76029 BOUND_VARIABLE_84606))) 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(@ (@ tptp.repl (@ tptp.eps (lambda ((BOUND_VARIABLE_38161 $$unsorted)) (let ((_let_1 (forall ((X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (or (not (@ _let_1 X4)) (@ _let_1 (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 _let_1) (and (not _let_2) _let_1)))))))))))))) (or (and (not _let_1) (= BOUND_VARIABLE_38161 (@ (@ tptp.repl X4) (lambda ((X2 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_4702 $$unsorted)) (let ((_let_1 (@ (@ tptp.in X2) (@ (@ tptp.repl (@ tptp.power (@ tptp.power tptp.emptyset))) (lambda ((BOUND_VARIABLE_38268 $$unsorted)) (@ tptp.eps (lambda ((BOUND_VARIABLE_5443 $$unsorted)) (let ((_let_1 (= tptp.emptyset BOUND_VARIABLE_5443))) (let ((_let_2 (@ (@ tptp.in tptp.emptyset) BOUND_VARIABLE_38268))) (or (and _let_2 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_let_1 X1) X2) (=> (@ (@ _let_1 X2) X1) (@ (@ (@ tptp.e_is (@ tptp.power X0)) X1) X2))))))))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool)) (X2 $$unsorted)) (let ((_let_1 (@ tptp.in X2))) (=> (@ _let_1 (@ (@ tptp.d_Sep X0) X1)) (@ _let_1 X0)))) (forall ((X0 (-> $$unsorted Bool))) (=> (@ X0 tptp.emptyset) (=> (forall ((X1 $$unsorted)) (=> (@ tptp.nat_p X1) (=> (@ X0 X1) (@ X0 (@ tptp.ordsucc X1))))) (forall ((X1 $$unsorted)) (=> (@ tptp.nat_p X1) (@ X0 X1)))))) (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (@ (@ (@ tptp.if X0) X1) X2))) (or (= _let_1 X2) (= _let_1 X1)))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.nis (@ tptp.ordsucc X0)) tptp.n_1))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.is_of (@ tptp.ordsucc X0)) (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (= (@ (@ tptp.in X2) (@ (@ tptp.repl X0) X1)) (exists ((X3 $$unsorted)) (and (= X2 (@ X1 X3)) (@ (@ tptp.in X3) X0))))) (forall ((X0 $$unsorted)) (=> (@ tptp.nat_p X0) (@ (@ tptp.in X0) tptp.omega))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 (-> $$unsorted $$unsorted))) (=> (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) X0) (@ (@ tptp.in (@ X2 X3)) (@ X1 X3)))) (@ (@ tptp.in (@ (@ tptp.d_Sigma X0) X2)) (@ (@ tptp.d_Pi X0) X1)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (@ tptp.proj1 (@ (@ tptp.pair X0) X1)) X1)) (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (=> X0 (= (@ (@ (@ tptp.if X0) X1) X2) X1))) (@ (@ tptp.in tptp.emptyset) _let_12) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (exists ((X2 $$unsorted)) (and (@ (@ tptp.in X1) X2) (@ (@ tptp.in X2) X0))) (@ (@ tptp.in X1) (@ tptp.union X0)))) (@ tptp.nat_p _let_12) (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))) (lambda ((X3 $$unsorted)) (@ (@ (@ tptp.e_is X1) (@ (@ (@ tptp.second X0) X1) (@ (@ (@ (@ tptp.d_pair X0) X1) X2) X3))) X3)))))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (let ((_let_1 (@ (@ tptp.d_Sep X0) X1))) (@ (@ (@ tptp.injective _let_1) X0) (@ (@ tptp.d_Sigma _let_1) (@ (@ tptp.e_in X0) X1))))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (=> (@ (@ (@ tptp.esti X0) X2) (@ (@ tptp.d_Sep X0) X1)) (@ X1 X2))))) (forall ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) X0))) (lambda ((X1 $$unsorted)) (@ (@ (@ tptp.e_is X0) X1) X1)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (= (@ tptp.ordsucc X0) (@ tptp.ordsucc X1)) (= X0 X1))) (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (@ (@ (@ tptp.if X0) X1) X2))) (or (and (= _let_1 X2) (not X0)) (and X0 (= _let_1 X1))))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) X0) (forall ((X3 $$unsorted)) (=> (@ (@ tptp.in X3) (@ X1 X2)) (@ (@ tptp.in (@ (@ tptp.pair X2) X3)) (@ (@ tptp.d_Sigma X0) X1)))))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) (@ tptp.power tptp.nat)))) (lambda ((X0 $$unsorted)) (=> (@ tptp.cond1 X0) (=> (@ tptp.cond2 X0) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (@ (@ tptp.n_in X1) X0))))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (@ (@ tptp.in X1) (@ tptp.power X0)) (@ (@ tptp.d_Subq X1) X0))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))) (lambda ((X3 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ (@ tptp.d_pair X0) X1) X2) X3)) (lambda ((X4 $$unsorted)) (@ (@ tptp.in X4) (@ (@ tptp.setprod X0) X1))))))))) (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (@ tptp.if X0))) (=> (=> X0 (@ (@ tptp.in X1) X2)) (@ (@ tptp.in (@ (@ _let_1 X1) tptp.emptyset)) (@ (@ _let_1 X2) (@ tptp.ordsucc tptp.emptyset)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.setprod X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ tptp.first X0) X1) X2)) (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0)))))) (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted)) (=> (not X0) (= (@ (@ (@ tptp.if X0) X1) X2) X2))) (@ (@ tptp.is_of tptp.n_1) (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (=> (@ (@ tptp.one X0) X1) (@ X1 (@ (@ tptp.ind X0) X1)))) (forall ((X0 $$unsorted)) (=> (@ (@ tptp.in X0) tptp.omega) (@ tptp.nat_p X0))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (@ (@ tptp.in (@ tptp.proj1 X2)) (@ X1 (@ tptp.proj0 X2))))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (let ((_let_1 (@ tptp.proj1 X2))) (let ((_let_2 (@ tptp.proj0 X2))) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (and (@ (@ tptp.in _let_2) X0) (@ (@ tptp.in _let_1) (@ X1 _let_2)) (= (@ (@ tptp.pair _let_2) _let_1) X2)))))) (forall ((X0 Bool) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (@ tptp.in X1))) (=> X0 (=> (@ _let_1 (@ (@ (@ tptp.if X0) X2) X3)) (@ _let_1 X2))))) (forall ((X0 (-> $$unsorted Bool))) (=> (forall ((X1 $$unsorted)) (=> (forall ((X2 $$unsorted)) (=> (@ (@ tptp.in X2) X1) (@ X0 X2))) (@ X0 X1))) (forall ((X1 $$unsorted)) (@ X0 X1)))) (forall ((X0 $$unsorted)) (@ (@ tptp.in X0) (@ tptp.power X0))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) (@ (@ tptp.d_Sigma X0) X1)) (@ (@ tptp.in (@ tptp.proj0 X2)) X0))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1))) (lambda ((X3 $$unsorted)) (@ (@ (@ tptp.e_is X0) (@ (@ (@ tptp.first X0) X1) (@ (@ (@ (@ tptp.d_pair X0) X1) X2) X3))) X2)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.setprod X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ tptp.second X0) X1) X2)) (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X1)))))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (=> (@ (@ tptp.n_is (@ tptp.ordsucc X0)) (@ tptp.ordsucc X1)) (@ (@ tptp.n_is X0) X1)))))) (forall ((X0 $$unsorted)) (@ (@ tptp.in X0) (@ tptp.univof X0))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.d_Sep X0) X1)))) (lambda ((X2 $$unsorted)) (@ X1 (@ (@ (@ tptp.e_in X0) X1) X2))))) (forall ((X0 Bool)) (=> (@ tptp.wel X0) X0)) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (@ (@ tptp.all_of (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0))) (lambda ((X3 $$unsorted)) (=> (@ X1 X2) (=> (@ (@ (@ tptp.e_is X0) X2) X3) (@ X1 X3)))))))) (forall ((X0 $$unsorted)) (=> (@ tptp.nat_p X0) (@ tptp.nat_p (@ tptp.ordsucc X0)))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) (@ (@ tptp.d_Sep X0) X1)))) (lambda ((X2 $$unsorted)) (@ (@ tptp.is_of (@ (@ (@ tptp.e_in X0) X1) X2)) (lambda ((X3 $$unsorted)) (@ (@ tptp.in X3) X0)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (@ (@ tptp.d_Subq X1) X0) (@ (@ tptp.in X1) (@ tptp.power X0)))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted $$unsorted)) (X2 $$unsorted)) (=> (@ (@ tptp.in X2) X0) (= (@ (@ tptp.ap (@ (@ tptp.d_Sigma X0) X1)) X2) (@ X1 X2)))) (not (exists ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.emptyset))) (forall ((X0 $$unsorted) (X1 (-> $$unsorted Bool))) (@ (@ tptp.all_of (lambda ((X2 $$unsorted)) (@ (@ tptp.in X2) X0))) (lambda ((X2 $$unsorted)) (=> (@ X1 X2) (@ (@ (@ tptp.esti X0) X2) (@ (@ tptp.d_Sep X0) X1)))))) (forall ((X0 $$unsorted)) (@ tptp.d_ZF_closed (@ tptp.univof X0))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.nis (@ tptp.ordsucc X0)) X0))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.n_is (@ tptp.ordsucc X0)) (@ (@ tptp.n_pl X0) tptp.n_1)))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (=> (@ (@ tptp.nis X0) tptp.n_1) (@ tptp.n_some (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is X0) (@ tptp.ordsucc X1))))))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.one (@ (@ tptp.d_Pi tptp.nat) (lambda ((X1 $$unsorted)) tptp.nat))) (lambda ((X1 $$unsorted)) (@ (@ tptp.d_and (@ (@ tptp.n_is (@ (@ tptp.ap X1) tptp.n_1)) (@ tptp.ordsucc X0))) (@ tptp.n_all (lambda ((X2 $$unsorted)) (let ((_let_1 (@ tptp.ap X1))) (@ (@ tptp.n_is (@ _let_1 (@ tptp.ordsucc X2))) (@ tptp.ordsucc (@ _let_1 X2))))))))))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.n_pl X0) tptp.n_1)) (@ tptp.ordsucc X0)))) _let_1 (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.n_pl tptp.n_1) X0)) (@ tptp.ordsucc X0)))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (=> (@ (@ tptp.nis X0) tptp.n_1) (@ tptp.n_one (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is X0) (@ tptp.ordsucc X1))))))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (=> (@ (@ tptp.nis X0) X1) (@ (@ tptp.nis (@ tptp.ordsucc X0)) (@ tptp.ordsucc X1))))))) (@ (@ tptp.all_of (lambda ((X0 $$unsorted)) (@ (@ tptp.in X0) tptp.nat))) (lambda ((X0 $$unsorted)) (@ (@ tptp.all_of (lambda ((X1 $$unsorted)) (@ (@ tptp.in X1) tptp.nat))) (lambda ((X1 $$unsorted)) (@ (@ tptp.n_is (@ (@ tptp.n_pl (@ tptp.ordsucc X0)) X1)) (@ tptp.ordsucc (@ (@ tptp.n_pl X0) X1))))))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 40.99/41.22 ) 40.99/41.22 % SZS output end Proof for 40.99/41.22 % cvc5---1.0.5 exiting 40.99/41.22 % cvc5---1.0.5 exiting 40.99/41.22 EOF