%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT171^1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:26 AM UTC 2026 % Result : Theorem 0.39s 0.70s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT171^1 : TPTP v9.2.1. Released v5.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:37:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.37/0.55 %----Proving TH0 % 0.39/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.70 % SZS status Theorem % 0.39/0.70 % SZS output start Proof % 0.39/0.70 ( % 0.39/0.70 (declare-sort tptp.arrow_1092341143e_indi 0) % 0.39/0.70 (declare-sort tptp.produc1832616231le_alt 0) % 0.39/0.70 (declare-sort tptp.nat 0) % 0.39/0.70 (declare-sort tptp.arrow_1346734812le_alt 0) % 0.39/0.70 (declare-const tptp.b tptp.arrow_1346734812le_alt) % 0.39/0.70 (declare-const tptp.a tptp.arrow_1346734812le_alt) % 0.39/0.70 (declare-const tptp.pi_Arr418143960_alt_o (-> (-> tptp.arrow_1092341143e_indi Bool) (-> tptp.arrow_1092341143e_indi (-> tptp.produc1832616231le_alt Bool) Bool) (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.member1949484546lt_o_o (-> (-> (-> tptp.produc1832616231le_alt Bool) Bool) (-> (-> (-> tptp.produc1832616231le_alt Bool) Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Pro410810898lt_o_o (-> (-> (-> tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.produc1832616231le_alt Bool) Bool Bool) (-> (-> tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Pro1340600692e_indi (-> (-> (-> tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool) (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) Bool)) % 0.39/0.70 (declare-const tptp.member903234717lt_o_o (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr1422400881lt_o_o (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.member986213183e_indi (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr1941314005e_indi (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) Bool)) % 0.39/0.70 (declare-const tptp.member1754345465lt_o_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr1767527177lt_o_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr170420797e_indi (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) Bool)) % 0.39/0.70 (declare-const tptp.member1486844321e_indi (-> (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi) (-> (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Pro1535452471e_indi (-> (-> tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi Bool) (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi) Bool)) % 0.39/0.70 (declare-const tptp.member1099673524_alt_o (-> (-> Bool tptp.produc1832616231le_alt Bool) (-> (-> Bool tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_o_P1538584260_alt_o (-> (-> Bool Bool) (-> Bool (-> tptp.produc1832616231le_alt Bool) Bool) (-> Bool tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.member24189887_alt_o (-> (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) (-> (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.member_o (-> Bool (-> Bool Bool) Bool)) % 0.39/0.70 (declare-const tptp.top_top_o_o (-> Bool Bool)) % 0.39/0.70 (declare-const tptp.top_to679332578_alt_o (-> tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.finite1907699781e_indi (-> (-> tptp.arrow_1092341143e_indi Bool) tptp.nat)) % 0.39/0.70 (declare-const tptp.pi_Pro539263375_alt_o (-> (-> tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt Bool Bool) (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.all (-> (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.collec1201320914le_alt (-> (-> tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.hilber564731065di_nat (-> (-> tptp.arrow_1092341143e_indi Bool) (-> tptp.arrow_1092341143e_indi tptp.nat) tptp.nat tptp.arrow_1092341143e_indi)) % 0.39/0.70 (declare-const tptp.top_to527331954indi_o (-> tptp.arrow_1092341143e_indi Bool)) % 0.39/0.70 (declare-const tptp.member1362619835_alt_o (-> (-> tptp.produc1832616231le_alt Bool) (-> (-> tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.39/0.70 (declare-const tptp.member1561882372_alt_o (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.h (-> tptp.arrow_1092341143e_indi tptp.nat)) % 0.39/0.70 (declare-const tptp.member1208133347e_indi (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_1751445586le_Lin (-> (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr1140519125_alt_o (-> (-> tptp.arrow_1092341143e_indi Bool) (-> tptp.arrow_1092341143e_indi (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_452340254_above (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1346734812le_alt tptp.arrow_1346734812le_alt tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr651234977_alt_o (-> (-> tptp.arrow_1092341143e_indi Bool) (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> tptp.arrow_1092341143e_indi tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.n tptp.nat) % 0.39/0.70 (declare-const tptp.f (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.collec1079683069_alt_o (-> (-> (-> tptp.produc1832616231le_alt Bool) Bool) (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_1724561858le_IIA (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.e tptp.arrow_1346734812le_alt) % 0.39/0.70 (declare-const tptp.inj_on945046484di_nat (-> (-> tptp.arrow_1092341143e_indi tptp.nat) (-> tptp.arrow_1092341143e_indi Bool) Bool)) % 0.39/0.70 (declare-const tptp.produc990411159le_alt (-> tptp.arrow_1346734812le_alt tptp.arrow_1346734812le_alt tptp.produc1832616231le_alt)) % 0.39/0.70 (declare-const tptp.top_to1830848411lt_o_o (-> (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.member1621875105le_alt (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt) Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_1889221221nimity (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr1055270199le_alt (-> (-> tptp.arrow_1092341143e_indi Bool) (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt) Bool)) % 0.39/0.70 (declare-const tptp.c tptp.arrow_1346734812le_alt) % 0.39/0.70 (declare-const tptp.pi_o_A1302557673_alt_o (-> (-> Bool Bool) (-> Bool (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.p (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.if_Pro399136856_alt_o (-> Bool (-> tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.member537117565_alt_o (-> (-> Bool tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> (-> Bool tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.member545531028le_alt (-> tptp.produc1832616231le_alt (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.top_to1049332548lt_o_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_1717184938_mkbot (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1346734812le_alt tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.top_to790289938lt_o_o (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.member1710515983_alt_o (-> (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) (-> (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_1865892024_mktop (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1346734812le_alt tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.arrow_1605628760e_Prof (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.member1714766084e_indi (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi Bool) Bool)) % 0.39/0.70 (declare-const tptp.member733327538_alt_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.top_top_o Bool) % 0.39/0.70 (declare-const tptp.ord_le898419007lt_o_o (-> (-> (-> tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.member1368218865le_alt (-> (-> Bool tptp.produc1832616231le_alt) (-> (-> Bool tptp.produc1832616231le_alt) Bool) Bool)) % 0.39/0.70 (declare-const tptp.ord_le972845494lt_o_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.pi_Arr1021537730_alt_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.ord_le939309728lt_o_o (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.ord_less_o (-> Bool Bool Bool)) % 0.39/0.70 (declare-const tptp.member1079651021_alt_o (-> (-> tptp.arrow_1092341143e_indi tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) Bool)) % 0.39/0.70 (declare-const tptp.ord_le1973646398_alt_o (-> (-> tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.ord_le316791758indi_o (-> (-> tptp.arrow_1092341143e_indi Bool) (-> tptp.arrow_1092341143e_indi Bool) Bool)) % 0.39/0.70 (declare-const tptp.collec1718651462_alt_o (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.d tptp.arrow_1346734812le_alt) % 0.39/0.70 (declare-const tptp.pi_o_A71242893_alt_o (-> (-> Bool Bool) (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool) (-> Bool tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.collec2125720304_alt_o (-> (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool) (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool)) % 0.39/0.70 (declare-const tptp.collec1832628290e_indi (-> (-> tptp.arrow_1092341143e_indi Bool) tptp.arrow_1092341143e_indi Bool)) % 0.39/0.70 (declare-const tptp.lba (-> tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.lab (-> tptp.produc1832616231le_alt Bool)) % 0.39/0.70 (declare-const tptp.member1255309082e_indi (-> (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) (-> (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi) Bool) Bool)) % 0.39/0.70 (declare-const tptp.arrow_1098709355ctator (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool)) % 0.39/0.70 (declare-const tptp.pi_o_P988780107le_alt (-> (-> Bool Bool) (-> Bool tptp.produc1832616231le_alt Bool) (-> Bool tptp.produc1832616231le_alt) Bool)) % 0.39/0.70 (define @t1 () (@var "L" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t2 () (@var "Y" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t3 () (@var "X" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t4 () (_ tptp.produc990411159le_alt @t3)) % 0.39/0.70 (define @t5 () (_ tptp.member545531028le_alt (_ @t4 @t2))) % 0.39/0.70 (define @t6 () (_ @t5 @t1)) % 0.39/0.70 (define @t7 () (@var "Z_2" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t8 () (= @t3 @t7)) % 0.39/0.70 (define @t9 () (not @t8)) % 0.39/0.70 (define @t10 () (not (= @t3 @t2))) % 0.39/0.70 (define @t11 () (= @t2 @t7)) % 0.39/0.70 (define @t12 () (not @t11)) % 0.39/0.70 (define @t13 () (_ tptp.arrow_1717184938_mkbot @t1)) % 0.39/0.70 (define @t14 () (@list @t3 @t2 @t1 @t7)) % 0.39/0.70 (define @t15 () (_ tptp.arrow_1865892024_mktop @t1)) % 0.39/0.70 (define @t16 () (@var "P_6" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t17 () (_ tptp.f @t16)) % 0.39/0.70 (define @t18 () (@var "B_16" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t19 () (@var "A_26" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t20 () (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt @t19) @t18))) % 0.39/0.70 (define @t21 () (_ @t20 @t17)) % 0.39/0.70 (define @t22 () (@var "P_5" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t23 () (@var "B_15" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t24 () (@var "A_25" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t25 () (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt @t24) @t23))) % 0.39/0.70 (define @t26 () (_ @t25 (_ tptp.f @t22))) % 0.39/0.70 (define @t27 () (@var "I" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t28 () (_ @t16 @t27)) % 0.39/0.70 (define @t29 () (_ @t25 (_ @t22 @t27))) % 0.39/0.70 (define @t30 () (@list @t27)) % 0.39/0.70 (define @t31 () (forall @t30 (= @t29 (_ @t20 @t28)))) % 0.39/0.70 (define @t32 () (_ (_ tptp.member1561882372_alt_o @t16) tptp.arrow_1605628760e_Prof)) % 0.39/0.70 (define @t33 () (_ (_ tptp.member1561882372_alt_o @t22) tptp.arrow_1605628760e_Prof)) % 0.39/0.70 (define @t34 () (=> @t33 (=> @t32 (=> @t31 (= @t26 @t21))))) % 0.39/0.70 (define @t35 () (not (= @t23 @t19))) % 0.39/0.70 (define @t36 () (not (= @t24 @t18))) % 0.39/0.70 (define @t37 () (not (= @t19 @t18))) % 0.39/0.70 (define @t38 () (not (= @t24 @t23))) % 0.39/0.70 (define @t39 () (@list @t16 @t22 @t19 @t18 @t24 @t23)) % 0.39/0.70 (define @t40 () (@var "C_4" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t41 () (_ tptp.produc990411159le_alt @t23)) % 0.39/0.70 (define @t42 () (_ tptp.member545531028le_alt (_ @t41 @t40))) % 0.39/0.70 (define @t43 () (_ tptp.member545531028le_alt (_ @t41 @t24))) % 0.39/0.70 (define @t44 () (_ tptp.p @t27)) % 0.39/0.70 (define @t45 () (_ (_ tptp.arrow_1717184938_mkbot @t44) tptp.e)) % 0.39/0.70 (define @t46 () (_ tptp.produc990411159le_alt tptp.c)) % 0.39/0.70 (define @t47 () (_ tptp.member545531028le_alt (_ @t46 tptp.d))) % 0.39/0.70 (define @t48 () (_ tptp.h @t27)) % 0.39/0.70 (define @t49 () (= @t48 tptp.n)) % 0.39/0.70 (define @t50 () (not @t49)) % 0.39/0.70 (define @t51 () (_ (_ (_ tptp.arrow_452340254_above @t44) tptp.c) tptp.e)) % 0.39/0.70 (define @t52 () (_ tptp.ord_less_nat @t48)) % 0.39/0.70 (define @t53 () (_ @t52 tptp.n)) % 0.39/0.70 (define @t54 () (not @t53)) % 0.39/0.70 (define @t55 () (_ (_ tptp.arrow_1865892024_mktop @t44) tptp.e)) % 0.39/0.70 (define @t56 () (_ tptp.hilber564731065di_nat tptp.top_to527331954indi_o)) % 0.39/0.70 (define @t57 () (@var "__flatten_var_0" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t58 () (_ tptp.if_Pro399136856_alt_o @t53)) % 0.39/0.70 (define @t59 () (_ @t58 @t55)) % 0.39/0.70 (define @t60 () (@list @t27 @t57)) % 0.39/0.70 (define @t61 () (lambda @t60 (_ (_ @t59 (_ (_ (_ tptp.if_Pro399136856_alt_o @t49) @t51) @t45)) @t57))) % 0.39/0.70 (define @t62 () (_ tptp.f @t61)) % 0.39/0.70 (define @t63 () (_ @t47 @t62)) % 0.39/0.70 (define @t64 () (_ @t47 (_ tptp.f tptp.p))) % 0.39/0.70 (define @t65 () (@var "B_4" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t66 () (@var "A_5" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t67 () (_ (_ tptp.produc990411159le_alt @t66) @t65)) % 0.39/0.70 (define @t68 () (@var "P_4" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t69 () (@list @t66 @t65)) % 0.39/0.70 (define @t70 () (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt tptp.e) tptp.d))) % 0.39/0.70 (define @t71 () (_ @t70 @t62)) % 0.39/0.70 (define @t72 () (@var "B_13" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t73 () (@var "B_14" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t74 () (@var "A_23" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t75 () (@var "A_24" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t76 () (@var "B_11" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t77 () (@var "B_12" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t78 () (@var "A_21" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t79 () (@var "A_22" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t80 () (@var "Xa" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t81 () (@var "F" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t82 () (_ tptp.member545531028le_alt @t67)) % 0.39/0.70 (define @t83 () (@var "X_1" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t84 () (_ @t81 @t83)) % 0.39/0.70 (define @t85 () (_ @t82 @t84)) % 0.39/0.70 (define @t86 () (_ @t82 (_ @t83 @t27))) % 0.39/0.70 (define @t87 () (_ (_ tptp.member1561882372_alt_o @t83) tptp.arrow_1605628760e_Prof)) % 0.39/0.70 (define @t88 () (@list @t83)) % 0.39/0.70 (define @t89 () (@list @t81)) % 0.39/0.70 (define @t90 () (@var "X_34" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t91 () (@var "X_34" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t92 () (@var "X_34" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t93 () (@var "X_34" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t94 () (@var "X_34" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t95 () (@var "X_33" Bool)) % 0.39/0.70 (define @t96 () (@var "X_33" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t97 () (@var "X_33" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t98 () (@var "X_33" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t99 () (@var "X_33" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t100 () (@var "X_33" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t101 () (@var "X_32" Bool)) % 0.39/0.70 (define @t102 () (@var "X_32" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t103 () (@var "X_32" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t104 () (@var "X_32" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t105 () (@var "X_32" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t106 () (@var "X_32" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t107 () (@var "X_31" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t108 () (@var "X_31" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t109 () (@var "X_31" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t110 () (@var "X_31" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t111 () (@var "X_31" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t112 () (@var "A_20" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t113 () (@var "A_20" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t114 () (@var "A_20" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t115 () (@var "A_20" Bool)) % 0.39/0.70 (define @t116 () (@var "A_20" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t117 () (@var "A_20" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t118 () (@var "X_30" tptp.nat)) % 0.39/0.70 (define @t119 () (@var "Y_23" tptp.nat)) % 0.39/0.70 (define @t120 () (@var "X_29" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t121 () (@var "Y_22" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t122 () (@var "X_29" tptp.nat)) % 0.39/0.70 (define @t123 () (@var "Y_22" tptp.nat)) % 0.39/0.70 (define @t124 () (@var "X_28" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t125 () (@var "Z_1" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t126 () (_ tptp.ord_le316791758indi_o @t125)) % 0.39/0.70 (define @t127 () (@var "Y_21" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t128 () (@var "X_28" tptp.nat)) % 0.39/0.70 (define @t129 () (@var "Z_1" tptp.nat)) % 0.39/0.70 (define @t130 () (_ tptp.ord_less_nat @t129)) % 0.39/0.70 (define @t131 () (@var "Y_21" tptp.nat)) % 0.39/0.70 (define @t132 () (@var "Z" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t133 () (@var "X_27" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t134 () (_ tptp.ord_le316791758indi_o @t133)) % 0.39/0.70 (define @t135 () (@var "Y_20" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t136 () (@var "Z" tptp.nat)) % 0.39/0.70 (define @t137 () (@var "X_27" tptp.nat)) % 0.39/0.70 (define @t138 () (_ tptp.ord_less_nat @t137)) % 0.39/0.70 (define @t139 () (@var "Y_20" tptp.nat)) % 0.39/0.70 (define @t140 () (@var "A_19" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t141 () (@var "C_3" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t142 () (@var "B_10" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t143 () (@var "A_19" tptp.nat)) % 0.39/0.70 (define @t144 () (@var "C_3" tptp.nat)) % 0.39/0.70 (define @t145 () (@var "B_10" tptp.nat)) % 0.39/0.70 (define @t146 () (@var "C_2" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t147 () (@var "A_18" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t148 () (_ tptp.ord_le316791758indi_o @t147)) % 0.39/0.70 (define @t149 () (@var "B_9" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t150 () (@var "C_2" tptp.nat)) % 0.39/0.70 (define @t151 () (@var "A_18" tptp.nat)) % 0.39/0.70 (define @t152 () (_ tptp.ord_less_nat @t151)) % 0.39/0.70 (define @t153 () (@var "B_9" tptp.nat)) % 0.39/0.70 (define @t154 () (@var "A_17" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t155 () (@var "C_1" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t156 () (_ tptp.ord_le316791758indi_o @t155)) % 0.39/0.70 (define @t157 () (@var "B_8" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t158 () (@var "A_17" tptp.nat)) % 0.39/0.70 (define @t159 () (@var "C_1" tptp.nat)) % 0.39/0.70 (define @t160 () (_ tptp.ord_less_nat @t159)) % 0.39/0.70 (define @t161 () (@var "B_8" tptp.nat)) % 0.39/0.70 (define @t162 () (@var "C" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t163 () (@var "A_16" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t164 () (@var "B_7" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t165 () (@var "C" tptp.nat)) % 0.39/0.70 (define @t166 () (@var "A_16" tptp.nat)) % 0.39/0.70 (define @t167 () (@var "B_7" tptp.nat)) % 0.39/0.70 (define @t168 () (@var "B_6" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t169 () (@var "A_15" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t170 () (@var "B_6" tptp.nat)) % 0.39/0.70 (define @t171 () (@var "A_15" tptp.nat)) % 0.39/0.70 (define @t172 () (@var "A_14" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t173 () (@var "B_5" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t174 () (@var "A_14" tptp.nat)) % 0.39/0.70 (define @t175 () (@var "B_5" tptp.nat)) % 0.39/0.70 (define @t176 () (@var "P_3" Bool)) % 0.39/0.70 (define @t177 () (@var "X_26" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t178 () (@var "Y_19" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t179 () (@var "X_26" tptp.nat)) % 0.39/0.70 (define @t180 () (@var "Y_19" tptp.nat)) % 0.39/0.70 (define @t181 () (@var "X_25" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t182 () (@var "Y_18" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t183 () (@var "X_25" tptp.nat)) % 0.39/0.70 (define @t184 () (@var "Y_18" tptp.nat)) % 0.39/0.70 (define @t185 () (@var "Y_17" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t186 () (@var "X_24" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t187 () (@var "Y_17" tptp.nat)) % 0.39/0.70 (define @t188 () (@var "X_24" tptp.nat)) % 0.39/0.70 (define @t189 () (@var "X_23" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t190 () (@var "Y_16" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t191 () (@var "X_23" tptp.nat)) % 0.39/0.70 (define @t192 () (@var "Y_16" tptp.nat)) % 0.39/0.70 (define @t193 () (@var "X_22" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t194 () (@var "Y_15" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t195 () (@var "X_22" tptp.nat)) % 0.39/0.70 (define @t196 () (@var "Y_15" tptp.nat)) % 0.39/0.70 (define @t197 () (@var "Y_14" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t198 () (@var "X_21" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t199 () (@var "Y_14" tptp.nat)) % 0.39/0.70 (define @t200 () (@var "X_21" tptp.nat)) % 0.39/0.70 (define @t201 () (@var "X_20" tptp.nat)) % 0.39/0.70 (define @t202 () (@var "Y_13" tptp.nat)) % 0.39/0.70 (define @t203 () (@var "Y_12" tptp.nat)) % 0.39/0.70 (define @t204 () (@var "X_19" tptp.nat)) % 0.39/0.70 (define @t205 () (@var "X_18" tptp.nat)) % 0.39/0.70 (define @t206 () (@var "Y_11" tptp.nat)) % 0.39/0.70 (define @t207 () (@var "Y_10" tptp.nat)) % 0.39/0.70 (define @t208 () (@var "X_17" tptp.nat)) % 0.39/0.70 (define @t209 () (@var "X_16" tptp.nat)) % 0.39/0.70 (define @t210 () (@var "Y_9" tptp.nat)) % 0.39/0.70 (define @t211 () (@var "X_15" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t212 () (@var "X_15" tptp.nat)) % 0.39/0.70 (define @t213 () (@var "X_1" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t214 () (@list @t213)) % 0.39/0.70 (define @t215 () (@var "X_1" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t216 () (@list @t215)) % 0.39/0.70 (define @t217 () (@var "S" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t218 () (@var "R" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t219 () (@var "Xa" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t220 () (@var "X_1" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t221 () (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt @t220) @t219))) % 0.39/0.70 (define @t222 () (@var "A_13" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t223 () (@var "A_13" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t224 () (@var "A_13" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t225 () (@var "A_13" Bool)) % 0.39/0.70 (define @t226 () (@var "A_13" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t227 () (@var "A_13" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t228 () (@var "X_14" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t229 () (@var "Y_8" tptp.nat)) % 0.39/0.70 (define @t230 () (@var "F_15" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t231 () (@var "X_13" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t232 () (@var "F_14" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t233 () (@var "X_12" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t234 () (@var "F_13" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t235 () (@var "A_12" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t236 () (@var "X_11" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t237 () (@var "Y_7" tptp.nat)) % 0.39/0.70 (define @t238 () (@var "F_12" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t239 () (@var "A_11" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t240 () (@var "Y_6" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t241 () (@var "X_10" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t242 () (@var "F_11" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t243 () (@var "Xa" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t244 () (@var "F_10" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t245 () (@var "A_10" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t246 () (@var "Y_5" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t247 () (@var "F_9" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t248 () (@var "X_9" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t249 () (@var "A_9" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t250 () (@var "Y_4" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t251 () (@var "X_8" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t252 () (@var "F_8" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t253 () (@var "A_8" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t254 () (@var "Y_3" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t255 () (@var "X_7" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t256 () (@var "A_7" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t257 () (@var "F_7" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t258 () (@var "Y_2" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t259 () (@var "X_6" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t260 () (@var "F_6" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t261 () (@var "G" (-> tptp.nat tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t262 () (@var "F_5" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t263 () (@var "X_1" tptp.nat)) % 0.39/0.70 (define @t264 () (@var "F_4" (-> tptp.arrow_1092341143e_indi tptp.nat))) % 0.39/0.70 (define @t265 () (@var "Y_1" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t266 () (@var "__flatten_var_0" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t267 () (_ tptp.arrow_1751445586le_Lin @t266)) % 0.39/0.70 (define @t268 () (@var "Uu" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t269 () (@list @t268 @t266)) % 0.39/0.70 (define @t270 () (_ (_ tptp.pi_Arr1021537730_alt_o tptp.arrow_1605628760e_Prof) (lambda @t269 @t267))) % 0.39/0.70 (define @t271 () (@var "A_3" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t272 () (@var "B_2" tptp.arrow_1346734812le_alt)) % 0.39/0.70 (define @t273 () (_ tptp.produc990411159le_alt @t271)) % 0.39/0.70 (define @t274 () (_ tptp.member545531028le_alt (_ @t273 @t272))) % 0.39/0.70 (define @t275 () (_ (_ tptp.member1362619835_alt_o @t1) tptp.arrow_1751445586le_Lin)) % 0.39/0.70 (define @t276 () (@var "X_5" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t277 () (@var "A_6" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t278 () (@var "X_5" Bool)) % 0.39/0.70 (define @t279 () (@var "A_6" (-> Bool Bool))) % 0.39/0.70 (define @t280 () (@var "X_5" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t281 () (@var "A_6" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t282 () (@var "X_5" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t283 () (@var "A_6" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t284 () (@var "X_5" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t285 () (@var "A_6" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t286 () (@var "X_5" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t287 () (@var "A_6" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t288 () (@var "P_2" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t289 () (@list @t3 @t1)) % 0.39/0.70 (define @t290 () (_ tptp.arrow_452340254_above @t1)) % 0.39/0.70 (define @t291 () (= @t2 @t272)) % 0.39/0.70 (define @t292 () (= @t3 @t272)) % 0.39/0.70 (define @t293 () (not (= @t271 @t272))) % 0.39/0.70 (define @t294 () (@var "I_1" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t295 () (_ (_ tptp.arrow_1098709355ctator @t81) @t294)) % 0.39/0.70 (define @t296 () (_ @t83 @t294)) % 0.39/0.70 (define @t297 () (@var "A_4" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t298 () (@var "X_4" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t299 () (not (_ (_ tptp.member545531028le_alt @t298) @t297))) % 0.39/0.70 (define @t300 () (@var "B_3" (-> tptp.produc1832616231le_alt Bool Bool))) % 0.39/0.70 (define @t301 () (@var "F_3" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t302 () (@var "A_4" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t303 () (@var "X_4" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t304 () (not (_ (_ tptp.member1714766084e_indi @t303) @t302))) % 0.39/0.70 (define @t305 () (@var "B_3" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t306 () (@var "F_3" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt))) % 0.39/0.70 (define @t307 () (@var "A_4" (-> Bool Bool))) % 0.39/0.70 (define @t308 () (@var "X_4" Bool)) % 0.39/0.70 (define @t309 () (not (_ (_ tptp.member_o @t308) @t307))) % 0.39/0.70 (define @t310 () (@var "B_3" (-> Bool tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t311 () (@var "F_3" (-> Bool tptp.produc1832616231le_alt))) % 0.39/0.70 (define @t312 () (@var "B_3" (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t313 () (@var "F_3" (-> tptp.arrow_1092341143e_indi tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t314 () (@var "B_3" (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t315 () (@var "F_3" (-> Bool tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t316 () (@var "B_3" (-> tptp.arrow_1092341143e_indi (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t317 () (@var "F_3" (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t318 () (@var "B_3" (-> Bool (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t319 () (@var "F_3" (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t320 () (@var "B_3" (-> Bool (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t321 () (@var "F_3" (-> Bool tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t322 () (@var "B_3" (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t323 () (@var "F_3" (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t324 () (@var "A_4" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t325 () (@var "X_4" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t326 () (not (_ (_ tptp.member1561882372_alt_o @t325) @t324))) % 0.39/0.70 (define @t327 () (@var "B_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t328 () (@var "F_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t329 () (@var "B_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool Bool))) % 0.39/0.70 (define @t330 () (@var "F_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t331 () (@var "A_4" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t332 () (@var "X_4" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t333 () (not (_ (_ tptp.member733327538_alt_o @t332) @t331))) % 0.39/0.70 (define @t334 () (@var "B_3" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t335 () (@var "F_3" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t336 () (@var "B_3" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool Bool))) % 0.39/0.70 (define @t337 () (@var "F_3" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t338 () (@var "A_4" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t339 () (@var "X_4" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t340 () (not (_ (_ tptp.member1362619835_alt_o @t339) @t338))) % 0.39/0.70 (define @t341 () (@var "B_3" (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t342 () (@var "F_3" (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t343 () (@var "B_3" (-> (-> tptp.produc1832616231le_alt Bool) Bool Bool))) % 0.39/0.70 (define @t344 () (@var "F_3" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t345 () (@var "B_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t346 () (@var "F_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t347 () (@var "B_3" (-> tptp.arrow_1092341143e_indi (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t348 () (@var "F_3" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t349 () (@var "N" tptp.nat)) % 0.39/0.70 (define @t350 () (@var "X_3" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t351 () (@var "B_1" (-> tptp.produc1832616231le_alt Bool Bool))) % 0.39/0.70 (define @t352 () (@var "F_2" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t353 () (@var "A_2" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t354 () (_ (_ tptp.member545531028le_alt @t350) @t353)) % 0.39/0.70 (define @t355 () (@var "B_1" (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t356 () (@var "F_2" (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t357 () (@var "X_3" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t358 () (@var "B_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t359 () (@var "F_2" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t360 () (@var "A_2" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t361 () (_ (_ tptp.member1561882372_alt_o @t357) @t360)) % 0.39/0.70 (define @t362 () (@var "B_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool Bool))) % 0.39/0.70 (define @t363 () (@var "F_2" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t364 () (@var "X_3" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t365 () (@var "B_1" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t366 () (@var "F_2" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t367 () (@var "A_2" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t368 () (_ (_ tptp.member733327538_alt_o @t364) @t367)) % 0.39/0.70 (define @t369 () (@var "B_1" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool Bool))) % 0.39/0.70 (define @t370 () (@var "F_2" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t371 () (@var "X_3" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t372 () (@var "B_1" (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t373 () (@var "F_2" (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t374 () (@var "A_2" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t375 () (_ (_ tptp.member1362619835_alt_o @t371) @t374)) % 0.39/0.70 (define @t376 () (@var "B_1" (-> (-> tptp.produc1832616231le_alt Bool) Bool Bool))) % 0.39/0.70 (define @t377 () (@var "F_2" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t378 () (@var "X_3" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t379 () (@var "B_1" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t380 () (@var "F_2" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt))) % 0.39/0.70 (define @t381 () (@var "A_2" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t382 () (_ (_ tptp.member1714766084e_indi @t378) @t381)) % 0.39/0.70 (define @t383 () (@var "X_3" Bool)) % 0.39/0.70 (define @t384 () (@var "B_1" (-> Bool tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t385 () (@var "F_2" (-> Bool tptp.produc1832616231le_alt))) % 0.39/0.70 (define @t386 () (@var "A_2" (-> Bool Bool))) % 0.39/0.70 (define @t387 () (_ (_ tptp.member_o @t383) @t386)) % 0.39/0.70 (define @t388 () (@var "B_1" (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t389 () (@var "F_2" (-> tptp.arrow_1092341143e_indi tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t390 () (@var "B_1" (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t391 () (@var "F_2" (-> Bool tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t392 () (@var "B_1" (-> tptp.arrow_1092341143e_indi (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t393 () (@var "F_2" (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t394 () (@var "B_1" (-> Bool (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t395 () (@var "F_2" (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t396 () (@var "B_1" (-> Bool (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t397 () (@var "F_2" (-> Bool tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t398 () (@var "B_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t399 () (@var "F_2" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t400 () (@var "B_1" (-> tptp.arrow_1092341143e_indi (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t401 () (@var "F_2" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t402 () (@var "Uu" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t403 () (@list @t402 @t266)) % 0.39/0.70 (define @t404 () (@var "B" (-> Bool Bool))) % 0.39/0.70 (define @t405 () (@var "X_2" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t406 () (@var "F_1" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t407 () (@var "A_1" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t408 () (_ (_ tptp.member545531028le_alt @t405) @t407)) % 0.39/0.70 (define @t409 () (@var "__flatten_var_0" Bool)) % 0.39/0.70 (define @t410 () (_ @t404 @t409)) % 0.39/0.70 (define @t411 () (@var "Uu" tptp.produc1832616231le_alt)) % 0.39/0.70 (define @t412 () (@list @t411 @t409)) % 0.39/0.70 (define @t413 () (@var "B" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t414 () (@var "F_1" (-> tptp.produc1832616231le_alt tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t415 () (@var "__flatten_var_0" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t416 () (_ @t413 @t415)) % 0.39/0.70 (define @t417 () (@var "X_2" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t418 () (@var "F_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t419 () (@var "A_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t420 () (_ (_ tptp.member1561882372_alt_o @t417) @t419)) % 0.39/0.70 (define @t421 () (@var "F_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t422 () (@var "X_2" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t423 () (@var "F_1" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t424 () (@var "A_1" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t425 () (_ (_ tptp.member733327538_alt_o @t422) @t424)) % 0.39/0.70 (define @t426 () (@var "Uu" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t427 () (@var "F_1" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t428 () (@var "X_2" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t429 () (@var "F_1" (-> (-> tptp.produc1832616231le_alt Bool) tptp.arrow_1092341143e_indi))) % 0.39/0.70 (define @t430 () (@var "A_1" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t431 () (_ (_ tptp.member1362619835_alt_o @t428) @t430)) % 0.39/0.70 (define @t432 () (@var "Uu" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t433 () (@var "F_1" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t434 () (@var "B" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t435 () (@var "X_2" tptp.arrow_1092341143e_indi)) % 0.39/0.70 (define @t436 () (@var "F_1" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt))) % 0.39/0.70 (define @t437 () (@var "A_1" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t438 () (_ (_ tptp.member1714766084e_indi @t435) @t437)) % 0.39/0.70 (define @t439 () (_ @t434 @t57)) % 0.39/0.70 (define @t440 () (@var "X_2" Bool)) % 0.39/0.70 (define @t441 () (@var "F_1" (-> Bool tptp.produc1832616231le_alt))) % 0.39/0.70 (define @t442 () (@var "A_1" (-> Bool Bool))) % 0.39/0.70 (define @t443 () (_ (_ tptp.member_o @t440) @t442)) % 0.39/0.70 (define @t444 () (@var "Uu" Bool)) % 0.39/0.70 (define @t445 () (@var "B" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t446 () (@var "F_1" (-> tptp.arrow_1092341143e_indi tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t447 () (@var "__flatten_var_0" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t448 () (_ @t445 @t447)) % 0.39/0.70 (define @t449 () (@var "F_1" (-> Bool tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t450 () (@var "B" (-> (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t451 () (@var "F_1" (-> tptp.arrow_1092341143e_indi (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t452 () (@var "__flatten_var_0" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t453 () (_ @t450 @t452)) % 0.39/0.70 (define @t454 () (@var "F_1" (-> Bool (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t455 () (@var "B" (-> (-> tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t456 () (@var "F_1" (-> Bool tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t457 () (_ @t455 @t266)) % 0.39/0.70 (define @t458 () (@var "F_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t459 () (@var "F_1" (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t460 () (@var "A" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t461 () (_ tptp.top_to1830848411lt_o_o @t266)) % 0.39/0.70 (define @t462 () (@var "A" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) Bool))) % 0.39/0.70 (define @t463 () (@var "A" (-> tptp.arrow_1092341143e_indi Bool))) % 0.39/0.70 (define @t464 () (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt tptp.b) tptp.a))) % 0.39/0.70 (define @t465 () (_ @t464 tptp.lba)) % 0.39/0.70 (define @t466 () (_ @t464 tptp.lab)) % 0.39/0.70 (define @t467 () (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt tptp.a) tptp.b))) % 0.39/0.70 (define @t468 () (@var "X" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t469 () (@var "Y" (-> tptp.produc1832616231le_alt Bool))) % 0.39/0.70 (define @t470 () (@list @t468 @t469)) % 0.39/0.70 (define @t471 () (@var "P" Bool)) % 0.39/0.70 (assume @p1 (_ tptp.arrow_1724561858le_IIA tptp.f)) % 0.39/0.70 (assume @p2 (_ tptp.arrow_1889221221nimity tptp.f)) % 0.39/0.70 (assume @p3 (not (= tptp.c tptp.d))) % 0.39/0.70 (assume @p4 (_ (_ tptp.member1561882372_alt_o tptp.p) tptp.arrow_1605628760e_Prof)) % 0.39/0.70 (assume @p5 (forall @t14 (= (_ @t5 (_ @t13 @t7)) (and @t12 (=> @t8 @t10) (=> @t9 @t6))))) % 0.39/0.70 (assume @p6 (forall @t14 (= (_ @t5 (_ @t15 @t7)) (and @t9 (=> @t11 @t10) (=> @t12 @t6))))) % 0.39/0.70 (assume @p7 (forall @t39 (=> @t38 (=> @t37 (=> @t36 (=> @t35 @t34)))))) % 0.39/0.70 (assume @p8 (forall @t39 (=> @t38 (=> @t37 (=> @t36 (=> @t35 (=> @t33 (=> @t32 (=> @t31 (=> @t26 @t21)))))))))) % 0.39/0.70 (assume @p9 (forall (@list @t16 @t22 @t40 @t24 @t23) (=> @t38 (=> (not (= @t23 @t40)) (=> (not (= @t24 @t40)) (=> @t33 (=> @t32 (=> (forall @t30 (= @t29 (_ @t42 @t28))) (= @t26 (_ @t42 @t17)))))))))) % 0.39/0.70 (assume @p10 (forall @t39 (=> @t38 (=> @t37 @t34)))) % 0.39/0.70 (assume @p11 (forall (@list @t16 @t22 @t24 @t23) (=> @t38 (=> @t33 (=> @t32 (=> (forall @t30 (= @t29 (_ @t43 @t28))) (= @t26 (_ @t43 @t17)))))))) % 0.39/0.70 (assume @p12 (forall @t30 (= (_ @t47 @t44) (and (=> @t53 (_ @t47 @t55)) (=> @t54 (and (=> @t49 (_ @t47 @t51)) (=> @t50 (_ @t47 @t45)))))))) % 0.39/0.70 (assume @p13 (_ @t47 (_ tptp.p (_ (_ @t56 tptp.h) tptp.n)))) % 0.39/0.70 (assume @p14 @t63) % 0.39/0.70 (assume @p15 (= @t64 @t63)) % 0.39/0.70 (assume @p16 (forall (@list @t68) (= (_ tptp.all @t68) (forall @t69 (_ @t68 @t67))))) % 0.39/0.70 (assume @p17 (_ (_ tptp.member1561882372_alt_o @t61) tptp.arrow_1605628760e_Prof)) % 0.39/0.70 (assume @p18 (_ (_ tptp.member545531028le_alt (_ @t46 tptp.e)) @t62)) % 0.39/0.70 (assume @p19 @t71) % 0.39/0.70 (assume @p20 (_ (_ tptp.ord_less_nat tptp.n) (_ tptp.finite1907699781e_indi tptp.top_to527331954indi_o))) % 0.39/0.70 (assume @p21 (_ (_ tptp.inj_on945046484di_nat tptp.h) tptp.top_to527331954indi_o)) % 0.39/0.70 (assume @p22 (forall (@list @t75 @t73 @t74 @t72) (=> (= (_ (_ tptp.produc990411159le_alt @t75) @t73) (_ (_ tptp.produc990411159le_alt @t74) @t72)) (not (=> (= @t75 @t74) (not (= @t73 @t72))))))) % 0.39/0.70 (assume @p23 (forall (@list @t79 @t77 @t78 @t76) (= (= (_ (_ tptp.produc990411159le_alt @t79) @t77) (_ (_ tptp.produc990411159le_alt @t78) @t76)) (and (= @t79 @t78) (= @t77 @t76))))) % 0.39/0.70 (assume @p24 (forall @t89 (= (_ tptp.arrow_1724561858le_IIA @t81) (forall @t88 (=> @t87 (forall (@list @t80) (=> (_ (_ tptp.member1561882372_alt_o @t80) tptp.arrow_1605628760e_Prof) (forall @t69 (=> (forall @t30 (= @t86 (_ @t82 (_ @t80 @t27)))) (= @t85 (_ @t82 (_ @t81 @t80)))))))))))) % 0.39/0.70 (assume @p25 (forall @t89 (= (_ tptp.arrow_1889221221nimity @t81) (forall @t88 (=> @t87 (forall @t69 (=> (forall @t30 @t86) @t85))))))) % 0.39/0.70 (assume @p26 (forall (@list @t90) (_ tptp.top_to1830848411lt_o_o @t90))) % 0.39/0.70 (assume @p27 (forall (@list @t91) (_ tptp.top_to790289938lt_o_o @t91))) % 0.39/0.70 (assume @p28 (forall (@list @t92) (_ tptp.top_to1049332548lt_o_o @t92))) % 0.39/0.70 (assume @p29 (forall (@list @t93) (_ tptp.top_to679332578_alt_o @t93))) % 0.39/0.70 (assume @p30 (forall (@list @t94) (_ tptp.top_to527331954indi_o @t94))) % 0.39/0.70 (assume @p31 (forall (@list @t95) (_ (_ tptp.member_o @t95) tptp.top_top_o_o))) % 0.39/0.70 (assume @p32 (forall (@list @t96) (_ (_ tptp.member1714766084e_indi @t96) tptp.top_to527331954indi_o))) % 0.39/0.70 (assume @p33 (forall (@list @t97) (_ (_ tptp.member545531028le_alt @t97) tptp.top_to679332578_alt_o))) % 0.39/0.70 (assume @p34 (forall (@list @t98) (_ (_ tptp.member1561882372_alt_o @t98) tptp.top_to790289938lt_o_o))) % 0.39/0.70 (assume @p35 (forall (@list @t99) (_ (_ tptp.member733327538_alt_o @t99) tptp.top_to1049332548lt_o_o))) % 0.39/0.70 (assume @p36 (forall (@list @t100) (_ (_ tptp.member1362619835_alt_o @t100) tptp.top_to1830848411lt_o_o))) % 0.39/0.70 (assume @p37 (forall (@list @t101) (_ (_ tptp.member_o @t101) tptp.top_top_o_o))) % 0.39/0.70 (assume @p38 (forall (@list @t102) (_ (_ tptp.member1714766084e_indi @t102) tptp.top_to527331954indi_o))) % 0.39/0.70 (assume @p39 (forall (@list @t103) (_ (_ tptp.member545531028le_alt @t103) tptp.top_to679332578_alt_o))) % 0.39/0.70 (assume @p40 (forall (@list @t104) (_ (_ tptp.member1561882372_alt_o @t104) tptp.top_to790289938lt_o_o))) % 0.39/0.70 (assume @p41 (forall (@list @t105) (_ (_ tptp.member733327538_alt_o @t105) tptp.top_to1049332548lt_o_o))) % 0.39/0.70 (assume @p42 (forall (@list @t106) (_ (_ tptp.member1362619835_alt_o @t106) tptp.top_to1830848411lt_o_o))) % 0.39/0.70 (assume @p43 (forall (@list @t107) (= (_ tptp.top_to1830848411lt_o_o @t107) tptp.top_top_o))) % 0.39/0.70 (assume @p44 (forall (@list @t108) (= (_ tptp.top_to790289938lt_o_o @t108) tptp.top_top_o))) % 0.39/0.70 (assume @p45 (forall (@list @t109) (= (_ tptp.top_to1049332548lt_o_o @t109) tptp.top_top_o))) % 0.39/0.70 (assume @p46 (forall (@list @t110) (= (_ tptp.top_to679332578_alt_o @t110) tptp.top_top_o))) % 0.39/0.70 (assume @p47 (forall (@list @t111) (= (_ tptp.top_to527331954indi_o @t111) tptp.top_top_o))) % 0.39/0.70 (assume @p48 (forall (@list @t112) (not (_ (_ tptp.ord_le898419007lt_o_o tptp.top_to1830848411lt_o_o) @t112)))) % 0.39/0.70 (assume @p49 (forall (@list @t113) (not (_ (_ tptp.ord_le972845494lt_o_o tptp.top_to790289938lt_o_o) @t113)))) % 0.39/0.70 (assume @p50 (forall (@list @t114) (not (_ (_ tptp.ord_le939309728lt_o_o tptp.top_to1049332548lt_o_o) @t114)))) % 0.39/0.70 (assume @p51 (forall (@list @t115) (not (_ (_ tptp.ord_less_o tptp.top_top_o) @t115)))) % 0.39/0.70 (assume @p52 (forall (@list @t116) (not (_ (_ tptp.ord_le1973646398_alt_o tptp.top_to679332578_alt_o) @t116)))) % 0.39/0.70 (assume @p53 (forall (@list @t117) (not (_ (_ tptp.ord_le316791758indi_o tptp.top_to527331954indi_o) @t117)))) % 0.39/0.70 (assume @p54 (forall (@list @t118 @t119) (=> (not (_ (_ tptp.ord_less_nat @t118) @t119)) (=> (not (= @t118 @t119)) (_ (_ tptp.ord_less_nat @t119) @t118))))) % 0.39/0.70 (assume @p55 (forall (@list @t120 @t121) (=> (_ (_ tptp.ord_le316791758indi_o @t120) @t121) (not (_ (_ tptp.ord_le316791758indi_o @t121) @t120))))) % 0.39/0.70 (assume @p56 (forall (@list @t122 @t123) (=> (_ (_ tptp.ord_less_nat @t122) @t123) (not (_ (_ tptp.ord_less_nat @t123) @t122))))) % 0.39/0.70 (assume @p57 (forall (@list @t125 @t127 @t124) (=> (_ (_ tptp.ord_le316791758indi_o @t127) @t124) (=> (_ @t126 @t127) (_ @t126 @t124))))) % 0.39/0.70 (assume @p58 (forall (@list @t129 @t131 @t128) (=> (_ (_ tptp.ord_less_nat @t131) @t128) (=> (_ @t130 @t131) (_ @t130 @t128))))) % 0.39/0.70 (assume @p59 (forall (@list @t132 @t133 @t135) (=> (_ @t134 @t135) (=> (_ (_ tptp.ord_le316791758indi_o @t135) @t132) (_ @t134 @t132))))) % 0.39/0.70 (assume @p60 (forall (@list @t136 @t137 @t139) (=> (_ @t138 @t139) (=> (_ (_ tptp.ord_less_nat @t139) @t136) (_ @t138 @t136))))) % 0.39/0.70 (assume @p61 (forall (@list @t141 @t142 @t140) (=> (_ (_ tptp.ord_le316791758indi_o @t142) @t140) (=> (= @t142 @t141) (_ (_ tptp.ord_le316791758indi_o @t141) @t140))))) % 0.39/0.70 (assume @p62 (forall (@list @t144 @t145 @t143) (=> (_ (_ tptp.ord_less_nat @t145) @t143) (=> (= @t145 @t144) (_ (_ tptp.ord_less_nat @t144) @t143))))) % 0.39/0.70 (assume @p63 (forall (@list @t146 @t147 @t149) (=> (_ @t148 @t149) (=> (= @t149 @t146) (_ @t148 @t146))))) % 0.39/0.70 (assume @p64 (forall (@list @t150 @t151 @t153) (=> (_ @t152 @t153) (=> (= @t153 @t150) (_ @t152 @t150))))) % 0.39/0.70 (assume @p65 (forall (@list @t155 @t154 @t157) (=> (= @t154 @t157) (=> (_ @t156 @t157) (_ @t156 @t154))))) % 0.39/0.70 (assume @p66 (forall (@list @t159 @t158 @t161) (=> (= @t158 @t161) (=> (_ @t160 @t161) (_ @t160 @t158))))) % 0.39/0.70 (assume @p67 (forall (@list @t162 @t163 @t164) (=> (= @t163 @t164) (=> (_ (_ tptp.ord_le316791758indi_o @t164) @t162) (_ (_ tptp.ord_le316791758indi_o @t163) @t162))))) % 0.39/0.70 (assume @p68 (forall (@list @t165 @t166 @t167) (=> (= @t166 @t167) (=> (_ (_ tptp.ord_less_nat @t167) @t165) (_ (_ tptp.ord_less_nat @t166) @t165))))) % 0.39/0.70 (assume @p69 (forall (@list @t168 @t169) (=> (_ (_ tptp.ord_le316791758indi_o @t168) @t169) (not (_ (_ tptp.ord_le316791758indi_o @t169) @t168))))) % 0.39/0.70 (assume @p70 (forall (@list @t170 @t171) (=> (_ (_ tptp.ord_less_nat @t170) @t171) (not (_ (_ tptp.ord_less_nat @t171) @t170))))) % 0.39/0.70 (assume @p71 (forall (@list @t172 @t173) (=> (_ (_ tptp.ord_le316791758indi_o @t172) @t173) (not (_ (_ tptp.ord_le316791758indi_o @t173) @t172))))) % 0.39/0.70 (assume @p72 (forall (@list @t174 @t175) (=> (_ (_ tptp.ord_less_nat @t174) @t175) (not (_ (_ tptp.ord_less_nat @t175) @t174))))) % 0.39/0.70 (assume @p73 (forall (@list @t176 @t177 @t178) (=> (_ (_ tptp.ord_le316791758indi_o @t177) @t178) (=> (_ (_ tptp.ord_le316791758indi_o @t178) @t177) @t176)))) % 0.39/0.70 (assume @p74 (forall (@list @t176 @t179 @t180) (=> (_ (_ tptp.ord_less_nat @t179) @t180) (=> (_ (_ tptp.ord_less_nat @t180) @t179) @t176)))) % 0.39/0.70 (assume @p75 (forall (@list @t181 @t182) (=> (_ (_ tptp.ord_le316791758indi_o @t181) @t182) (not (= @t182 @t181))))) % 0.39/0.70 (assume @p76 (forall (@list @t183 @t184) (=> (_ (_ tptp.ord_less_nat @t183) @t184) (not (= @t184 @t183))))) % 0.39/0.70 (assume @p77 (forall (@list @t186 @t185) (=> (_ (_ tptp.ord_le316791758indi_o @t186) @t185) (not (= @t186 @t185))))) % 0.39/0.70 (assume @p78 (forall (@list @t188 @t187) (=> (_ (_ tptp.ord_less_nat @t188) @t187) (not (= @t188 @t187))))) % 0.39/0.70 (assume @p79 (forall (@list @t189 @t190) (=> (_ (_ tptp.ord_le316791758indi_o @t189) @t190) (not (_ (_ tptp.ord_le316791758indi_o @t190) @t189))))) % 0.39/0.70 (assume @p80 (forall (@list @t191 @t192) (=> (_ (_ tptp.ord_less_nat @t191) @t192) (not (_ (_ tptp.ord_less_nat @t192) @t191))))) % 0.39/0.70 (assume @p81 (forall (@list @t193 @t194) (=> (_ (_ tptp.ord_le316791758indi_o @t193) @t194) (not (_ (_ tptp.ord_le316791758indi_o @t194) @t193))))) % 0.39/0.70 (assume @p82 (forall (@list @t195 @t196) (=> (_ (_ tptp.ord_less_nat @t195) @t196) (not (_ (_ tptp.ord_less_nat @t196) @t195))))) % 0.39/0.70 (assume @p83 (forall (@list @t198 @t197) (=> (_ (_ tptp.ord_le316791758indi_o @t198) @t197) (not (= @t198 @t197))))) % 0.39/0.70 (assume @p84 (forall (@list @t200 @t199) (=> (_ (_ tptp.ord_less_nat @t200) @t199) (not (= @t200 @t199))))) % 0.39/0.70 (assume @p85 (forall (@list @t201 @t202) (=> (not (= @t201 @t202)) (=> (not (_ (_ tptp.ord_less_nat @t201) @t202)) (_ (_ tptp.ord_less_nat @t202) @t201))))) % 0.39/0.70 (assume @p86 (forall (@list @t203 @t204) (=> (not (_ (_ tptp.ord_less_nat @t203) @t204)) (= (not (_ (_ tptp.ord_less_nat @t204) @t203)) (= @t204 @t203))))) % 0.39/0.70 (assume @p87 (forall (@list @t205 @t206) (or (_ (_ tptp.ord_less_nat @t205) @t206) (= @t205 @t206) (_ (_ tptp.ord_less_nat @t206) @t205)))) % 0.39/0.70 (assume @p88 (forall (@list @t208 @t207) (= (not (_ (_ tptp.ord_less_nat @t208) @t207)) (or (_ (_ tptp.ord_less_nat @t207) @t208) (= @t208 @t207))))) % 0.39/0.70 (assume @p89 (forall (@list @t209 @t210) (= (not (= @t209 @t210)) (or (_ (_ tptp.ord_less_nat @t209) @t210) (_ (_ tptp.ord_less_nat @t210) @t209))))) % 0.39/0.70 (assume @p90 (forall (@list @t211) (not (_ (_ tptp.ord_le316791758indi_o @t211) @t211)))) % 0.39/0.70 (assume @p91 (forall (@list @t212) (not (_ (_ tptp.ord_less_nat @t212) @t212)))) % 0.39/0.70 (assume @p92 (= tptp.top_to1830848411lt_o_o (_ tptp.collec1079683069_alt_o (lambda @t214 true)))) % 0.39/0.70 (assume @p93 (= tptp.top_to790289938lt_o_o (_ tptp.collec1718651462_alt_o (lambda @t88 true)))) % 0.39/0.70 (assume @p94 (= tptp.top_to1049332548lt_o_o (_ tptp.collec2125720304_alt_o (lambda (@list (@var "X_1" (-> (-> tptp.arrow_1092341143e_indi tptp.produc1832616231le_alt Bool) tptp.produc1832616231le_alt Bool))) true)))) % 0.39/0.70 (assume @p95 (= tptp.top_to679332578_alt_o (_ tptp.collec1201320914le_alt (lambda (@list (@var "X_1" tptp.produc1832616231le_alt)) true)))) % 0.39/0.70 (assume @p96 (= tptp.top_to527331954indi_o (_ tptp.collec1832628290e_indi (lambda @t216 true)))) % 0.39/0.70 (assume @p97 (forall (@list @t217 @t218) (= (forall (@list @t220 @t219) (= (_ @t221 @t218) (_ @t221 @t217))) (= @t218 @t217)))) % 0.39/0.70 (assume @p98 (forall (@list @t222) (= (not (= @t222 tptp.top_to1830848411lt_o_o)) (_ (_ tptp.ord_le898419007lt_o_o @t222) tptp.top_to1830848411lt_o_o)))) % 0.39/0.70 (assume @p99 (forall (@list @t223) (= (not (= @t223 tptp.top_to790289938lt_o_o)) (_ (_ tptp.ord_le972845494lt_o_o @t223) tptp.top_to790289938lt_o_o)))) % 0.39/0.70 (assume @p100 (forall (@list @t224) (= (not (= @t224 tptp.top_to1049332548lt_o_o)) (_ (_ tptp.ord_le939309728lt_o_o @t224) tptp.top_to1049332548lt_o_o)))) % 0.39/0.70 (assume @p101 (forall (@list @t225) (= (not (= @t225 tptp.top_top_o)) (_ (_ tptp.ord_less_o @t225) tptp.top_top_o)))) % 0.39/0.70 (assume @p102 (forall (@list @t226) (= (not (= @t226 tptp.top_to679332578_alt_o)) (_ (_ tptp.ord_le1973646398_alt_o @t226) tptp.top_to679332578_alt_o)))) % 0.39/0.70 (assume @p103 (forall (@list @t227) (= (not (= @t227 tptp.top_to527331954indi_o)) (_ (_ tptp.ord_le316791758indi_o @t227) tptp.top_to527331954indi_o)))) % 0.39/0.70 (assume @p104 (forall (@list @t228 @t229 @t230) (=> (_ (_ tptp.inj_on945046484di_nat @t230) tptp.top_to527331954indi_o) (=> (= (_ @t230 @t228) @t229) (= (_ (_ @t56 @t230) @t229) @t228))))) % 0.39/0.70 (assume @p105 (forall (@list @t231 @t232) (=> (_ (_ tptp.inj_on945046484di_nat @t232) tptp.top_to527331954indi_o) (= (_ (_ @t56 @t232) (_ @t232 @t231)) @t231)))) % 0.39/0.70 (assume @p106 (forall (@list @t233 @t234 @t235) (=> (_ (_ tptp.inj_on945046484di_nat @t234) @t235) (=> (_ (_ tptp.member1714766084e_indi @t233) @t235) (= (_ (_ (_ tptp.hilber564731065di_nat @t235) @t234) (_ @t234 @t233)) @t233))))) % 0.39/0.70 (assume @p107 (forall (@list @t237 @t236 @t238 @t239) (=> (_ (_ tptp.inj_on945046484di_nat @t238) @t239) (=> (_ (_ tptp.member1714766084e_indi @t236) @t239) (=> (= (_ @t238 @t236) @t237) (= (_ (_ (_ tptp.hilber564731065di_nat @t239) @t238) @t237) @t236)))))) % 0.39/0.70 (assume @p108 (forall (@list @t241 @t240 @t242) (=> (_ (_ tptp.inj_on945046484di_nat @t242) tptp.top_to527331954indi_o) (= (= (_ @t242 @t241) (_ @t242 @t240)) (= @t241 @t240))))) % 0.39/0.70 (assume @p109 (forall (@list @t244 @t245) (= (_ (_ tptp.inj_on945046484di_nat @t244) @t245) (forall @t216 (=> (_ (_ tptp.member1714766084e_indi @t215) @t245) (forall (@list @t243) (=> (_ (_ tptp.member1714766084e_indi @t243) @t245) (=> (= (_ @t244 @t215) (_ @t244 @t243)) (= @t215 @t243))))))))) % 0.39/0.70 (assume @p110 (forall (@list @t248 @t246 @t247 @t249) (=> (_ (_ tptp.inj_on945046484di_nat @t247) @t249) (=> (not (= @t248 @t246)) (=> (_ (_ tptp.member1714766084e_indi @t248) @t249) (=> (_ (_ tptp.member1714766084e_indi @t246) @t249) (not (= (_ @t247 @t248) (_ @t247 @t246))))))))) % 0.39/0.70 (assume @p111 (forall (@list @t250 @t251 @t252 @t253) (=> (_ (_ tptp.inj_on945046484di_nat @t252) @t253) (=> (_ (_ tptp.member1714766084e_indi @t251) @t253) (=> (_ (_ tptp.member1714766084e_indi @t250) @t253) (= (= (_ @t252 @t251) (_ @t252 @t250)) (= @t251 @t250))))))) % 0.39/0.70 (assume @p112 (forall (@list @t255 @t254 @t257 @t256) (=> (_ (_ tptp.inj_on945046484di_nat @t257) @t256) (=> (= (_ @t257 @t255) (_ @t257 @t254)) (=> (_ (_ tptp.member1714766084e_indi @t255) @t256) (=> (_ (_ tptp.member1714766084e_indi @t254) @t256) (= @t255 @t254))))))) % 0.39/0.70 (assume @p113 (forall (@list @t259 @t258 @t260) (=> (_ (_ tptp.inj_on945046484di_nat @t260) tptp.top_to527331954indi_o) (=> (= (_ @t260 @t259) (_ @t260 @t258)) (= @t259 @t258))))) % 0.39/0.70 (assume @p114 (forall (@list @t261 @t262) (=> (_ (_ tptp.inj_on945046484di_nat @t262) tptp.top_to527331954indi_o) (=> (forall (@list @t263) (= (_ @t262 (_ @t261 @t263)) @t263)) (= (_ @t56 @t262) @t261))))) % 0.39/0.70 (assume @p115 (forall (@list @t264) (=> (forall (@list @t215 @t265) (=> (= (_ @t264 @t215) (_ @t264 @t265)) (= @t215 @t265))) (_ (_ tptp.inj_on945046484di_nat @t264) tptp.top_to527331954indi_o)))) % 0.39/0.70 (assume @p116 (_ (_ tptp.member733327538_alt_o tptp.f) @t270)) % 0.39/0.70 (assume @p117 (_ (_ tptp.member1362619835_alt_o tptp.lba) tptp.arrow_1751445586le_Lin)) % 0.39/0.70 (assume @p118 (_ (_ tptp.member1362619835_alt_o tptp.lab) tptp.arrow_1751445586le_Lin)) % 0.39/0.70 (assume @p119 (forall (@list @t271 @t272 @t1) (=> @t275 (=> (_ @t274 @t1) (not (_ (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt @t272) @t271)) @t1)))))) % 0.39/0.70 (assume @p120 (forall (@list @t3 @t2 @t1) (=> @t275 (=> @t10 (= (not @t6) (_ (_ tptp.member545531028le_alt (_ (_ tptp.produc990411159le_alt @t2) @t3)) @t1)))))) % 0.39/0.70 (assume @p121 (forall (@list @t276 @t277) (= (_ (_ tptp.member1714766084e_indi @t276) @t277) (_ @t277 @t276)))) % 0.39/0.70 (assume @p122 (forall (@list @t278 @t279) (= (_ (_ tptp.member_o @t278) @t279) (_ @t279 @t278)))) % 0.39/0.70 (assume @p123 (forall (@list @t280 @t281) (= (_ (_ tptp.member545531028le_alt @t280) @t281) (_ @t281 @t280)))) % 0.39/0.70 (assume @p124 (forall (@list @t282 @t283) (= (_ (_ tptp.member1561882372_alt_o @t282) @t283) (_ @t283 @t282)))) % 0.39/0.71 (assume @p125 (forall (@list @t284 @t285) (= (_ (_ tptp.member733327538_alt_o @t284) @t285) (_ @t285 @t284)))) % 0.39/0.71 (assume @p126 (forall (@list @t286 @t287) (= (_ (_ tptp.member1362619835_alt_o @t286) @t287) (_ @t287 @t286)))) % 0.39/0.71 (assume @p127 (forall (@list @t288) (= (_ tptp.collec1832628290e_indi @t288) @t288))) % 0.39/0.71 (assume @p128 (forall @t289 (=> @t275 (_ (_ tptp.member1362619835_alt_o (_ @t15 @t3)) tptp.arrow_1751445586le_Lin)))) % 0.39/0.71 (assume @p129 (forall @t289 (=> @t275 (_ (_ tptp.member1362619835_alt_o (_ @t13 @t3)) tptp.arrow_1751445586le_Lin)))) % 0.39/0.71 (assume @p130 (forall (@list @t1 @t3 @t2) (=> @t10 (=> @t275 (_ (_ tptp.member1362619835_alt_o (_ (_ @t290 @t3) @t2)) tptp.arrow_1751445586le_Lin))))) % 0.39/0.71 (assume @p131 (forall (@list @t1) (=> @t275 (_ (_ tptp.member1561882372_alt_o (lambda (@list (@var "P_1" tptp.arrow_1092341143e_indi) @t57) (_ @t1 @t57))) tptp.arrow_1605628760e_Prof)))) % 0.39/0.71 (assume @p132 (forall (@list @t3 @t2 @t1 @t271 @t272) (=> @t293 (=> @t275 (= (_ @t5 (_ (_ @t290 @t271) @t272)) (and @t10 (=> @t292 (_ (_ tptp.member545531028le_alt (_ @t273 @t2)) @t1)) (=> (not @t292) (and (=> @t291 (or (= @t3 @t271) (_ (_ tptp.member545531028le_alt (_ @t4 @t271)) @t1))) (=> (not @t291) @t6))))))))) % 0.39/0.71 (assume @p133 (forall (@list @t294 @t81) (=> (_ (_ tptp.member733327538_alt_o @t81) @t270) (=> (forall @t88 (=> @t87 (forall @t69 (=> (not (= @t66 @t65)) (=> (_ @t82 @t296) @t85))))) @t295)))) % 0.39/0.71 (assume @p134 (forall (@list @t298 @t301 @t297 @t300) (=> (_ (_ tptp.member1362619835_alt_o @t301) (_ (_ tptp.pi_Pro539263375_alt_o @t297) @t300)) (=> (not (_ (_ tptp.member_o (_ @t301 @t298)) (_ @t300 @t298))) @t299)))) % 0.39/0.71 (assume @p135 (forall (@list @t303 @t306 @t302 @t305) (=> (_ (_ tptp.member1621875105le_alt @t306) (_ (_ tptp.pi_Arr1055270199le_alt @t302) @t305)) (=> (not (_ (_ tptp.member545531028le_alt (_ @t306 @t303)) (_ @t305 @t303))) @t304)))) % 0.39/0.71 (assume @p136 (forall (@list @t308 @t311 @t307 @t310) (=> (_ (_ tptp.member1368218865le_alt @t311) (_ (_ tptp.pi_o_P988780107le_alt @t307) @t310)) (=> (not (_ (_ tptp.member545531028le_alt (_ @t311 @t308)) (_ @t310 @t308))) @t309)))) % 0.39/0.71 (assume @p137 (forall (@list @t303 @t313 @t302 @t312) (=> (_ (_ tptp.member1079651021_alt_o @t313) (_ (_ tptp.pi_Arr651234977_alt_o @t302) @t312)) (=> (not (_ (_ tptp.member1561882372_alt_o (_ @t313 @t303)) (_ @t312 @t303))) @t304)))) % 0.39/0.71 (assume @p138 (forall (@list @t308 @t315 @t307 @t314) (=> (_ (_ tptp.member537117565_alt_o @t315) (_ (_ tptp.pi_o_A71242893_alt_o @t307) @t314)) (=> (not (_ (_ tptp.member1561882372_alt_o (_ @t315 @t308)) (_ @t314 @t308))) @t309)))) % 0.39/0.71 (assume @p139 (forall (@list @t303 @t317 @t302 @t316) (=> (_ (_ tptp.member24189887_alt_o @t317) (_ (_ tptp.pi_Arr1140519125_alt_o @t302) @t316)) (=> (not (_ (_ tptp.member733327538_alt_o (_ @t317 @t303)) (_ @t316 @t303))) @t304)))) % 0.39/0.71 (assume @p140 (forall (@list @t308 @t319 @t307 @t318) (=> (_ (_ tptp.member1710515983_alt_o @t319) (_ (_ tptp.pi_o_A1302557673_alt_o @t307) @t318)) (=> (not (_ (_ tptp.member733327538_alt_o (_ @t319 @t308)) (_ @t318 @t308))) @t309)))) % 0.39/0.71 (assume @p141 (forall (@list @t308 @t321 @t307 @t320) (=> (_ (_ tptp.member1099673524_alt_o @t321) (_ (_ tptp.pi_o_P1538584260_alt_o @t307) @t320)) (=> (not (_ (_ tptp.member1362619835_alt_o (_ @t321 @t308)) (_ @t320 @t308))) @t309)))) % 0.39/0.71 (assume @p142 (forall (@list @t298 @t323 @t297 @t322) (=> (_ (_ tptp.member1486844321e_indi @t323) (_ (_ tptp.pi_Pro1535452471e_indi @t297) @t322)) (=> (not (_ (_ tptp.member1714766084e_indi (_ @t323 @t298)) (_ @t322 @t298))) @t299)))) % 0.39/0.71 (assume @p143 (forall (@list @t325 @t328 @t324 @t327) (=> (_ (_ tptp.member1208133347e_indi @t328) (_ (_ tptp.pi_Arr170420797e_indi @t324) @t327)) (=> (not (_ (_ tptp.member1714766084e_indi (_ @t328 @t325)) (_ @t327 @t325))) @t326)))) % 0.39/0.71 (assume @p144 (forall (@list @t325 @t330 @t324 @t329) (=> (_ (_ tptp.member1754345465lt_o_o @t330) (_ (_ tptp.pi_Arr1767527177lt_o_o @t324) @t329)) (=> (not (_ (_ tptp.member_o (_ @t330 @t325)) (_ @t329 @t325))) @t326)))) % 0.39/0.71 (assume @p145 (forall (@list @t332 @t335 @t331 @t334) (=> (_ (_ tptp.member986213183e_indi @t335) (_ (_ tptp.pi_Arr1941314005e_indi @t331) @t334)) (=> (not (_ (_ tptp.member1714766084e_indi (_ @t335 @t332)) (_ @t334 @t332))) @t333)))) % 0.39/0.71 (assume @p146 (forall (@list @t332 @t337 @t331 @t336) (=> (_ (_ tptp.member903234717lt_o_o @t337) (_ (_ tptp.pi_Arr1422400881lt_o_o @t331) @t336)) (=> (not (_ (_ tptp.member_o (_ @t337 @t332)) (_ @t336 @t332))) @t333)))) % 0.39/0.71 (assume @p147 (forall (@list @t339 @t342 @t338 @t341) (=> (_ (_ tptp.member1255309082e_indi @t342) (_ (_ tptp.pi_Pro1340600692e_indi @t338) @t341)) (=> (not (_ (_ tptp.member1714766084e_indi (_ @t342 @t339)) (_ @t341 @t339))) @t340)))) % 0.39/0.71 (assume @p148 (forall (@list @t339 @t344 @t338 @t343) (=> (_ (_ tptp.member1949484546lt_o_o @t344) (_ (_ tptp.pi_Pro410810898lt_o_o @t338) @t343)) (=> (not (_ (_ tptp.member_o (_ @t344 @t339)) (_ @t343 @t339))) @t340)))) % 0.39/0.71 (assume @p149 (forall (@list @t325 @t346 @t324 @t345) (=> (_ (_ tptp.member733327538_alt_o @t346) (_ (_ tptp.pi_Arr1021537730_alt_o @t324) @t345)) (=> (not (_ (_ tptp.member1362619835_alt_o (_ @t346 @t325)) (_ @t345 @t325))) @t326)))) % 0.39/0.71 (assume @p150 (forall (@list @t303 @t348 @t302 @t347) (=> (_ (_ tptp.member1561882372_alt_o @t348) (_ (_ tptp.pi_Arr418143960_alt_o @t302) @t347)) (=> (not (_ (_ tptp.member1362619835_alt_o (_ @t348 @t303)) (_ @t347 @t303))) @t304)))) % 0.39/0.71 (assume @p151 (forall (@list @t271 @t272) (=> @t293 (exists @t214 (and (_ (_ tptp.member1362619835_alt_o @t213) tptp.arrow_1751445586le_Lin) (_ @t274 @t213)))))) % 0.39/0.71 (assume @p152 (forall (@list @t349) (_ (_ tptp.member1561882372_alt_o (lambda @t60 (_ (_ (_ (_ tptp.if_Pro399136856_alt_o (_ @t52 @t349)) tptp.lab) tptp.lba) @t57))) tptp.arrow_1605628760e_Prof))) % 0.39/0.71 (assume @p153 (forall (@list @t350 @t352 @t353 @t351) (=> (_ (_ tptp.member1362619835_alt_o @t352) (_ (_ tptp.pi_Pro539263375_alt_o @t353) @t351)) (=> @t354 (_ (_ tptp.member_o (_ @t352 @t350)) (_ @t351 @t350)))))) % 0.39/0.71 (assume @p154 (forall (@list @t350 @t356 @t353 @t355) (=> (_ (_ tptp.member1486844321e_indi @t356) (_ (_ tptp.pi_Pro1535452471e_indi @t353) @t355)) (=> @t354 (_ (_ tptp.member1714766084e_indi (_ @t356 @t350)) (_ @t355 @t350)))))) % 0.39/0.71 (assume @p155 (forall (@list @t357 @t359 @t360 @t358) (=> (_ (_ tptp.member1208133347e_indi @t359) (_ (_ tptp.pi_Arr170420797e_indi @t360) @t358)) (=> @t361 (_ (_ tptp.member1714766084e_indi (_ @t359 @t357)) (_ @t358 @t357)))))) % 0.39/0.71 (assume @p156 (forall (@list @t357 @t363 @t360 @t362) (=> (_ (_ tptp.member1754345465lt_o_o @t363) (_ (_ tptp.pi_Arr1767527177lt_o_o @t360) @t362)) (=> @t361 (_ (_ tptp.member_o (_ @t363 @t357)) (_ @t362 @t357)))))) % 0.39/0.71 (assume @p157 (forall (@list @t364 @t366 @t367 @t365) (=> (_ (_ tptp.member986213183e_indi @t366) (_ (_ tptp.pi_Arr1941314005e_indi @t367) @t365)) (=> @t368 (_ (_ tptp.member1714766084e_indi (_ @t366 @t364)) (_ @t365 @t364)))))) % 0.39/0.71 (assume @p158 (forall (@list @t364 @t370 @t367 @t369) (=> (_ (_ tptp.member903234717lt_o_o @t370) (_ (_ tptp.pi_Arr1422400881lt_o_o @t367) @t369)) (=> @t368 (_ (_ tptp.member_o (_ @t370 @t364)) (_ @t369 @t364)))))) % 0.39/0.71 (assume @p159 (forall (@list @t371 @t373 @t374 @t372) (=> (_ (_ tptp.member1255309082e_indi @t373) (_ (_ tptp.pi_Pro1340600692e_indi @t374) @t372)) (=> @t375 (_ (_ tptp.member1714766084e_indi (_ @t373 @t371)) (_ @t372 @t371)))))) % 0.39/0.71 (assume @p160 (forall (@list @t371 @t377 @t374 @t376) (=> (_ (_ tptp.member1949484546lt_o_o @t377) (_ (_ tptp.pi_Pro410810898lt_o_o @t374) @t376)) (=> @t375 (_ (_ tptp.member_o (_ @t377 @t371)) (_ @t376 @t371)))))) % 0.39/0.71 (assume @p161 (forall (@list @t378 @t380 @t381 @t379) (=> (_ (_ tptp.member1621875105le_alt @t380) (_ (_ tptp.pi_Arr1055270199le_alt @t381) @t379)) (=> @t382 (_ (_ tptp.member545531028le_alt (_ @t380 @t378)) (_ @t379 @t378)))))) % 0.39/0.71 (assume @p162 (forall (@list @t383 @t385 @t386 @t384) (=> (_ (_ tptp.member1368218865le_alt @t385) (_ (_ tptp.pi_o_P988780107le_alt @t386) @t384)) (=> @t387 (_ (_ tptp.member545531028le_alt (_ @t385 @t383)) (_ @t384 @t383)))))) % 0.39/0.71 (assume @p163 (forall (@list @t378 @t389 @t381 @t388) (=> (_ (_ tptp.member1079651021_alt_o @t389) (_ (_ tptp.pi_Arr651234977_alt_o @t381) @t388)) (=> @t382 (_ (_ tptp.member1561882372_alt_o (_ @t389 @t378)) (_ @t388 @t378)))))) % 0.39/0.71 (assume @p164 (forall (@list @t383 @t391 @t386 @t390) (=> (_ (_ tptp.member537117565_alt_o @t391) (_ (_ tptp.pi_o_A71242893_alt_o @t386) @t390)) (=> @t387 (_ (_ tptp.member1561882372_alt_o (_ @t391 @t383)) (_ @t390 @t383)))))) % 0.39/0.71 (assume @p165 (forall (@list @t378 @t393 @t381 @t392) (=> (_ (_ tptp.member24189887_alt_o @t393) (_ (_ tptp.pi_Arr1140519125_alt_o @t381) @t392)) (=> @t382 (_ (_ tptp.member733327538_alt_o (_ @t393 @t378)) (_ @t392 @t378)))))) % 0.39/0.71 (assume @p166 (forall (@list @t383 @t395 @t386 @t394) (=> (_ (_ tptp.member1710515983_alt_o @t395) (_ (_ tptp.pi_o_A1302557673_alt_o @t386) @t394)) (=> @t387 (_ (_ tptp.member733327538_alt_o (_ @t395 @t383)) (_ @t394 @t383)))))) % 0.39/0.71 (assume @p167 (forall (@list @t383 @t397 @t386 @t396) (=> (_ (_ tptp.member1099673524_alt_o @t397) (_ (_ tptp.pi_o_P1538584260_alt_o @t386) @t396)) (=> @t387 (_ (_ tptp.member1362619835_alt_o (_ @t397 @t383)) (_ @t396 @t383)))))) % 0.39/0.71 (assume @p168 (forall (@list @t357 @t399 @t360 @t398) (=> (_ (_ tptp.member733327538_alt_o @t399) (_ (_ tptp.pi_Arr1021537730_alt_o @t360) @t398)) (=> @t361 (_ (_ tptp.member1362619835_alt_o (_ @t399 @t357)) (_ @t398 @t357)))))) % 0.39/0.71 (assume @p169 (forall (@list @t378 @t401 @t381 @t400) (=> (_ (_ tptp.member1561882372_alt_o @t401) (_ (_ tptp.pi_Arr418143960_alt_o @t381) @t400)) (=> @t382 (_ (_ tptp.member1362619835_alt_o (_ @t401 @t378)) (_ @t400 @t378)))))) % 0.39/0.71 (assume @p170 (= tptp.arrow_1605628760e_Prof (_ (_ tptp.pi_Arr418143960_alt_o tptp.top_to527331954indi_o) (lambda @t403 @t267)))) % 0.39/0.71 (assume @p171 (forall (@list @t405 @t406 @t407 @t404) (=> (_ (_ tptp.member1362619835_alt_o @t406) (_ (_ tptp.pi_Pro539263375_alt_o @t407) (lambda @t412 @t410))) (=> @t408 (_ (_ tptp.member_o (_ @t406 @t405)) @t404))))) % 0.39/0.71 (assume @p172 (forall (@list @t405 @t414 @t407 @t413) (=> (_ (_ tptp.member1486844321e_indi @t414) (_ (_ tptp.pi_Pro1535452471e_indi @t407) (lambda (@list @t411 @t415) @t416))) (=> @t408 (_ (_ tptp.member1714766084e_indi (_ @t414 @t405)) @t413))))) % 0.39/0.71 (assume @p173 (forall (@list @t417 @t418 @t419 @t413) (=> (_ (_ tptp.member1208133347e_indi @t418) (_ (_ tptp.pi_Arr170420797e_indi @t419) (lambda (@list @t268 @t415) @t416))) (=> @t420 (_ (_ tptp.member1714766084e_indi (_ @t418 @t417)) @t413))))) % 0.39/0.71 (assume @p174 (forall (@list @t417 @t421 @t419 @t404) (=> (_ (_ tptp.member1754345465lt_o_o @t421) (_ (_ tptp.pi_Arr1767527177lt_o_o @t419) (lambda (@list @t268 @t409) @t410))) (=> @t420 (_ (_ tptp.member_o (_ @t421 @t417)) @t404))))) % 0.39/0.71 (assume @p175 (forall (@list @t422 @t423 @t424 @t413) (=> (_ (_ tptp.member986213183e_indi @t423) (_ (_ tptp.pi_Arr1941314005e_indi @t424) (lambda (@list @t426 @t415) @t416))) (=> @t425 (_ (_ tptp.member1714766084e_indi (_ @t423 @t422)) @t413))))) % 0.39/0.71 (assume @p176 (forall (@list @t422 @t427 @t424 @t404) (=> (_ (_ tptp.member903234717lt_o_o @t427) (_ (_ tptp.pi_Arr1422400881lt_o_o @t424) (lambda (@list @t426 @t409) @t410))) (=> @t425 (_ (_ tptp.member_o (_ @t427 @t422)) @t404))))) % 0.39/0.71 (assume @p177 (forall (@list @t428 @t429 @t430 @t413) (=> (_ (_ tptp.member1255309082e_indi @t429) (_ (_ tptp.pi_Pro1340600692e_indi @t430) (lambda (@list @t432 @t415) @t416))) (=> @t431 (_ (_ tptp.member1714766084e_indi (_ @t429 @t428)) @t413))))) % 0.39/0.71 (assume @p178 (forall (@list @t428 @t433 @t430 @t404) (=> (_ (_ tptp.member1949484546lt_o_o @t433) (_ (_ tptp.pi_Pro410810898lt_o_o @t430) (lambda (@list @t432 @t409) @t410))) (=> @t431 (_ (_ tptp.member_o (_ @t433 @t428)) @t404))))) % 0.39/0.71 (assume @p179 (forall (@list @t435 @t436 @t437 @t434) (=> (_ (_ tptp.member1621875105le_alt @t436) (_ (_ tptp.pi_Arr1055270199le_alt @t437) (lambda (@list @t402 @t57) @t439))) (=> @t438 (_ (_ tptp.member545531028le_alt (_ @t436 @t435)) @t434))))) % 0.39/0.71 (assume @p180 (forall (@list @t440 @t441 @t442 @t434) (=> (_ (_ tptp.member1368218865le_alt @t441) (_ (_ tptp.pi_o_P988780107le_alt @t442) (lambda (@list @t444 @t57) @t439))) (=> @t443 (_ (_ tptp.member545531028le_alt (_ @t441 @t440)) @t434))))) % 0.39/0.71 (assume @p181 (forall (@list @t435 @t446 @t437 @t445) (=> (_ (_ tptp.member1079651021_alt_o @t446) (_ (_ tptp.pi_Arr651234977_alt_o @t437) (lambda (@list @t402 @t447) @t448))) (=> @t438 (_ (_ tptp.member1561882372_alt_o (_ @t446 @t435)) @t445))))) % 0.39/0.71 (assume @p182 (forall (@list @t440 @t449 @t442 @t445) (=> (_ (_ tptp.member537117565_alt_o @t449) (_ (_ tptp.pi_o_A71242893_alt_o @t442) (lambda (@list @t444 @t447) @t448))) (=> @t443 (_ (_ tptp.member1561882372_alt_o (_ @t449 @t440)) @t445))))) % 0.39/0.71 (assume @p183 (forall (@list @t435 @t451 @t437 @t450) (=> (_ (_ tptp.member24189887_alt_o @t451) (_ (_ tptp.pi_Arr1140519125_alt_o @t437) (lambda (@list @t402 @t452) @t453))) (=> @t438 (_ (_ tptp.member733327538_alt_o (_ @t451 @t435)) @t450))))) % 0.39/0.71 (assume @p184 (forall (@list @t440 @t454 @t442 @t450) (=> (_ (_ tptp.member1710515983_alt_o @t454) (_ (_ tptp.pi_o_A1302557673_alt_o @t442) (lambda (@list @t444 @t452) @t453))) (=> @t443 (_ (_ tptp.member733327538_alt_o (_ @t454 @t440)) @t450))))) % 0.39/0.71 (assume @p185 (forall (@list @t440 @t456 @t442 @t455) (=> (_ (_ tptp.member1099673524_alt_o @t456) (_ (_ tptp.pi_o_P1538584260_alt_o @t442) (lambda (@list @t444 @t266) @t457))) (=> @t443 (_ (_ tptp.member1362619835_alt_o (_ @t456 @t440)) @t455))))) % 0.39/0.71 (assume @p186 (forall (@list @t417 @t458 @t419 @t455) (=> (_ (_ tptp.member733327538_alt_o @t458) (_ (_ tptp.pi_Arr1021537730_alt_o @t419) (lambda @t269 @t457))) (=> @t420 (_ (_ tptp.member1362619835_alt_o (_ @t458 @t417)) @t455))))) % 0.39/0.71 (assume @p187 (forall (@list @t435 @t459 @t437 @t455) (=> (_ (_ tptp.member1561882372_alt_o @t459) (_ (_ tptp.pi_Arr418143960_alt_o @t437) (lambda @t403 @t457))) (=> @t438 (_ (_ tptp.member1362619835_alt_o (_ @t459 @t435)) @t455))))) % 0.39/0.71 (assume @p188 (forall (@list @t81 @t294) (= @t295 (forall @t88 (=> @t87 (= @t84 @t296)))))) % 0.39/0.71 (assume @p189 (forall (@list @t460) (= (_ (_ tptp.pi_Pro539263375_alt_o @t460) (lambda @t412 (_ tptp.top_top_o_o @t409))) tptp.top_to1830848411lt_o_o))) % 0.39/0.71 (assume @p190 (forall (@list @t462) (= (_ (_ tptp.pi_Arr1021537730_alt_o @t462) (lambda @t269 @t461)) tptp.top_to1049332548lt_o_o))) % 0.39/0.71 (assume @p191 (forall (@list @t463) (= (_ (_ tptp.pi_Arr418143960_alt_o @t463) (lambda @t403 @t461)) tptp.top_to790289938lt_o_o))) % 0.39/0.71 (assume @p192 (= @t71 (_ @t464 (_ tptp.f (lambda @t60 (_ (_ (_ @t58 tptp.lab) tptp.lba) @t57)))))) % 0.39/0.71 (assume @p193 (forall @t30 (= (and (=> @t53 (_ @t70 @t55)) (=> @t54 (and (=> @t49 (_ @t70 @t51)) (=> @t50 (_ @t70 @t45))))) (and (=> @t53 @t466) (=> @t54 @t465))))) % 0.39/0.71 (assume @p194 (not (= tptp.a tptp.b))) % 0.39/0.71 (assume @p195 @t465) % 0.39/0.71 (assume @p196 (_ @t467 tptp.lab)) % 0.39/0.71 (assume @p197 (not (_ @t467 tptp.lba))) % 0.39/0.71 (assume @p198 (not @t466)) % 0.39/0.71 (assume @p199 (forall @t470 (= (_ (_ (_ tptp.if_Pro399136856_alt_o true) @t468) @t469) @t468))) % 0.39/0.71 (assume @p200 (forall @t470 (= (_ (_ (_ tptp.if_Pro399136856_alt_o false) @t468) @t469) @t469))) % 0.39/0.71 (assume @p201 (forall (@list @t471) (or (= @t471 true) (= @t471 false)))) % 0.39/0.71 (assume @p202 (not @t64)) % 0.39/0.71 (assume @p203 true) % 0.39/0.71 (step @p204 :rule eq-symm :args ((_ @t47 (_ tptp.f (lambda @t60 (_ (_ @t59 (_ (_ (_ tptp.if_Pro399136856_alt_o (= tptp.n @t48)) @t51) @t45)) @t57)))) @t64)) % 0.39/0.71 (step @p205 :rule refl :args (@t64)) % 0.39/0.71 (step @p206 :rule refl :args (@t57)) % 0.39/0.71 (step @p207 :rule refl :args (@t45)) % 0.39/0.71 (step @p208 :rule refl :args (@t51)) % 0.39/0.71 (step @p209 :rule eq-symm :args (@t48 tptp.n)) % 0.39/0.71 (step @p210 :rule refl :args (tptp.if_Pro399136856_alt_o)) % 0.39/0.71 (step @p211 :rule ho_cong :premises (@p210 @p209)) % 0.39/0.71 (step @p212 :rule ho_cong :premises (@p211 @p208)) % 0.39/0.71 (step @p213 :rule ho_cong :premises (@p212 @p207)) % 0.39/0.71 (step @p214 :rule refl :args (@t59)) % 0.39/0.71 (step @p215 :rule ho_cong :premises (@p214 @p213)) % 0.39/0.71 (step @p216 :rule ho_cong :premises (@p215 @p206)) % 0.39/0.71 (step @p217 :rule cong :premises (@p216) :args (@t61)) % 0.39/0.71 (step @p218 :rule refl :args (tptp.f)) % 0.39/0.71 (step @p219 :rule ho_cong :premises (@p218 @p217)) % 0.39/0.71 (step @p220 :rule refl :args (@t47)) % 0.39/0.71 (step @p221 :rule ho_cong :premises (@p220 @p219)) % 0.39/0.71 (step @p222 :rule cong :premises (@p221 @p205) :args ((= @t63 @t64))) % 0.39/0.71 (step @p223 :rule trans :premises (@p222 @p204)) % 0.39/0.71 (step @p224 :rule eq-symm :args (@t64 @t63)) % 0.39/0.71 (step @p225 :rule trans :premises (@p224 @p223)) % 0.39/0.71 (step @p226 :rule eq_resolve :premises (@p15 @p225)) % 0.39/0.71 (step @p227 :rule symm :premises (@p226)) % 0.39/0.71 (step @p228 :rule eq_resolve :premises (@p14 @p221)) % 0.39/0.71 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.39/0.71 (step @p230 false :rule contra :premises (@p229 @p202)) % 0.39/0.71 ) % 0.39/0.71 % SZS output end Proof % 0.39/0.71 % cvc5 exiting %------------------------------------------------------------------------------