%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP155^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:25:13 AM UTC 2026 % Result : Theorem 0.85s 1.06s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP155^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:16:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.47/0.63 %----Proving TH0 % 0.85/1.06 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.85/1.06 % SZS status Theorem % 0.85/1.06 % SZS output start Proof % 0.85/1.06 ( % 0.85/1.06 (declare-sort tptp.nat 0) % 0.85/1.06 (declare-sort tptp.product_prod_a_a 0) % 0.85/1.06 (declare-sort tptp.a 0) % 0.85/1.06 (declare-sort tptp.set_a 0) % 0.85/1.06 (declare-sort tptp.set_set_a 0) % 0.85/1.06 (declare-sort tptp.set_nat 0) % 0.85/1.06 (declare-sort tptp.set_Product_prod_a_a 0) % 0.85/1.06 (declare-sort tptp.product_prod_nat_nat 0) % 0.85/1.06 (declare-sort tptp.produc1463940355_set_a 0) % 0.85/1.06 (declare-sort tptp.set_Pr1948701895od_a_a 0) % 0.85/1.06 (declare-sort tptp.set_Pr1986765409at_nat 0) % 0.85/1.06 (declare-sort tptp.produc1691597095_set_a 0) % 0.85/1.06 (declare-sort tptp.produc1404140509_a_nat 0) % 0.85/1.06 (declare-sort tptp.produc1572603623od_a_a 0) % 0.85/1.06 (declare-const tptp.order_359341630od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.85/1.06 (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool)) % 0.85/1.06 (declare-const tptp.produc1474507607od_a_a (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.produc1572603623od_a_a)) % 0.85/1.06 (declare-const tptp.member2057358096od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.85/1.06 (declare-const tptp.order_1150839801on_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) % 0.85/1.06 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.85/1.06 (declare-const tptp.product_Pair_nat_nat (-> tptp.nat tptp.nat tptp.product_prod_nat_nat)) % 0.85/1.06 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) % 0.85/1.06 (declare-const tptp.refl_on_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.85/1.06 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.85/1.06 (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a)) % 0.85/1.06 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.85/1.06 (declare-const tptp.bot_bo2131659635od_a_a tptp.set_Product_prod_a_a) % 0.85/1.06 (declare-const tptp.bot_bot_set_nat tptp.set_nat) % 0.85/1.06 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.85/1.06 (declare-const tptp.prefer580340847ioms_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.85/1.06 (declare-const tptp.zero_zero_nat tptp.nat) % 0.85/1.06 (declare-const tptp.refl_on_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) % 0.85/1.06 (declare-const tptp.refl_o1298442278od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.85/1.06 (declare-const tptp.total_on_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) % 0.85/1.06 (declare-const tptp.total_1490170027od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.85/1.06 (declare-const tptp.bot_bot_set_set_a tptp.set_set_a) % 0.85/1.06 (declare-const tptp.bot_bo1519632275_set_a tptp.produc1691597095_set_a) % 0.85/1.06 (declare-const tptp.finite_finite_set_a (-> tptp.set_set_a Bool)) % 0.85/1.06 (declare-const tptp.prefer74720675od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.set_Product_prod_a_a)) % 0.85/1.06 (declare-const tptp.prefer477097315od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.set_Product_prod_a_a)) % 0.85/1.06 (declare-const tptp.prefer563798164od_nat (-> tptp.nat tptp.set_nat tptp.set_Pr1986765409at_nat tptp.set_nat)) % 0.85/1.06 (declare-const tptp.finite_card_nat (-> tptp.set_nat tptp.nat)) % 0.85/1.06 (declare-const tptp.prefer436369274d_as_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.ord_le1302190241at_nat (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) % 0.85/1.06 (declare-const tptp.ord_le841160035_set_a (-> tptp.produc1463940355_set_a tptp.produc1463940355_set_a Bool)) % 0.85/1.06 (declare-const tptp.ord_le781360189_a_nat (-> tptp.produc1404140509_a_nat tptp.produc1404140509_a_nat Bool)) % 0.85/1.06 (declare-const tptp.finite772653738at_nat (-> tptp.set_Pr1986765409at_nat Bool)) % 0.85/1.06 (declare-const tptp.bot_bot_nat tptp.nat) % 0.85/1.06 (declare-const tptp.produc1450889781_set_a (-> tptp.nat tptp.set_a tptp.produc1463940355_set_a)) % 0.85/1.06 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) % 0.85/1.06 (declare-const tptp.finite179568208od_a_a (-> tptp.set_Product_prod_a_a Bool)) % 0.85/1.06 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) % 0.85/1.06 (declare-const tptp.carrier tptp.set_a) % 0.85/1.06 (declare-const tptp.produc1928581911_set_a (-> tptp.set_a tptp.set_a tptp.produc1691597095_set_a)) % 0.85/1.06 (declare-const tptp.prefer1672638789an_nat (-> tptp.nat tptp.set_nat tptp.set_Pr1986765409at_nat tptp.set_nat)) % 0.85/1.06 (declare-const tptp.prefer1676310729than_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.relation tptp.set_Product_prod_a_a) % 0.85/1.06 (declare-const tptp.x tptp.a) % 0.85/1.06 (declare-const tptp.prefer1936906324as_nat (-> tptp.nat tptp.set_nat tptp.set_Pr1986765409at_nat tptp.set_nat)) % 0.85/1.06 (declare-const tptp.y tptp.a) % 0.85/1.06 (declare-const tptp.prefer1147844220ce_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) % 0.85/1.06 (declare-const tptp.prefer697821563od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.85/1.06 (declare-const tptp.finite1664988688od_a_a (-> tptp.set_Pr1948701895od_a_a Bool)) % 0.85/1.06 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.85/1.06 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.85/1.06 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.85/1.06 (declare-const tptp.finite_card_a (-> tptp.set_a tptp.nat)) % 0.85/1.06 (declare-const tptp.prefer1498087410od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.set_Product_prod_a_a)) % 0.85/1.06 (declare-const tptp.produc515611863_a_nat (-> tptp.set_a tptp.nat tptp.produc1404140509_a_nat)) % 0.85/1.06 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 0.85/1.06 (declare-const tptp.finite1481642319od_a_a (-> tptp.set_Product_prod_a_a tptp.nat)) % 0.85/1.06 (declare-const tptp.prefer161218362good_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.85/1.06 (declare-const tptp.ord_le486764743_set_a (-> tptp.produc1691597095_set_a tptp.produc1691597095_set_a Bool)) % 0.85/1.06 (define tptp.prefer1338892073od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Product_prod_a_a))) (let ((_let_3 (@var "Y2" tptp.product_prod_a_a))) (let ((_let_4 (@var "X3" tptp.product_prod_a_a))) (let ((_let_5 (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member449909584od_a_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member449909584od_a_a _let_3) _let_2))) (_ (_ tptp.order_359341630od_a_a _let_2) _let_1)))))))))) % 0.85/1.06 (define tptp.prefer1293349710ce_nat () (let ((_let_1 (@var "Relation2" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "Carrier2" tptp.set_nat))) (let ((_let_3 (@var "Y2" tptp.nat))) (let ((_let_4 (@var "X3" tptp.nat))) (let ((_let_5 (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member_nat _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member_nat _let_3) _let_2))) (_ (_ tptp.order_1150839801on_nat _let_2) _let_1)))))))))) % 0.85/1.06 (define tptp.trans_a () (let ((_let_1 (@var "R2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Z4" tptp.a))) (let ((_let_3 (@var "X3" tptp.a))) (let ((_let_4 (_ tptp.product_Pair_a_a _let_3))) (let ((_let_5 (@var "Y2" tptp.a))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member449909584od_a_a (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_5) _let_2)) _let_1) (_ (_ tptp.member449909584od_a_a (_ _let_4 _let_2)) _let_1))))))))))) % 0.85/1.06 (define tptp.order_preorder_on_a () (let ((_let_1 (@var "R2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A3" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_on_a _let_2) _let_1) (_ tptp.trans_a _let_1)))))) % 0.85/1.06 (define tptp.prefer1292084992ence_a () (let ((_let_1 (@var "Relation2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_a))) (let ((_let_3 (@var "Y2" tptp.a))) (let ((_let_4 (@var "X3" tptp.a))) (let ((_let_5 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member_a _let_3) _let_2))) (_ (_ tptp.order_preorder_on_a _let_2) _let_1)))))))))) % 0.85/1.06 (define tptp.ord_le1824328871od_a_a () (let ((_let_1 (@var "B3" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X3" tptp.product_prod_a_a))) (let ((_let_3 (_ tptp.member449909584od_a_a _let_2))) (let ((_let_4 (@var "A3" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.85/1.06 (define tptp.ord_less_eq_set_nat () (let ((_let_1 (@var "B3" tptp.set_nat))) (let ((_let_2 (@var "X3" tptp.nat))) (let ((_let_3 (_ tptp.member_nat _let_2))) (let ((_let_4 (@var "A3" tptp.set_nat))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.85/1.06 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B3" tptp.set_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A3" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.85/1.06 (define tptp.finite_finite_nat () (let ((_let_1 (@var "M3" tptp.nat))) (let ((_let_2 (@var "X3" tptp.nat))) (let ((_let_3 (@var "N2" tptp.set_nat))) (lambda (@list _let_3) (exists (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_3) (_ (_ tptp.ord_less_eq_nat _let_2) _let_1))))))))) % 0.85/1.06 (define tptp.total_on_a () (let ((_let_1 (@var "R2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (@var "Y2" tptp.a))) (let ((_let_4 (@var "A3" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_2) _let_3)) _let_1) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_3) _let_2)) _let_1))))))))))))) % 0.85/1.06 (define tptp.bot_bo1293121322_a_a_o () (let ((_let_1 (@var "X3" tptp.product_prod_a_a))) (lambda (@list _let_1) (_ (_ tptp.member449909584od_a_a _let_1) tptp.bot_bo2131659635od_a_a)))) % 0.85/1.06 (define tptp.bot_bot_nat_o () (let ((_let_1 (@var "X3" tptp.nat))) (lambda (@list _let_1) (_ (_ tptp.member_nat _let_1) tptp.bot_bot_set_nat)))) % 0.85/1.06 (define tptp.bot_bot_a_o () (let ((_let_1 (@var "X3" tptp.a))) (lambda (@list _let_1) (_ (_ tptp.member_a _let_1) tptp.bot_bot_set_a)))) % 0.85/1.06 (define tptp.prefer719835986ence_a () (let ((_let_1 (@var "Relation2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.prefer1292084992ence_a _let_2) _let_1) (_ (_ tptp.prefer580340847ioms_a _let_2) _let_1)))))) % 0.85/1.06 (define tptp.is_empty_a () (let ((_let_1 (@var "A3" tptp.set_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_a)))) % 0.85/1.06 (define @t1 () (_ (_ tptp.member_a tptp.x) tptp.carrier)) % 0.85/1.06 (define @t2 () (@var "X" tptp.a)) % 0.85/1.06 (define @t3 () (_ tptp.prefer1676310729than_a @t2)) % 0.85/1.06 (define @t4 () (_ (_ @t3 tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t5 () (@var "Y" tptp.a)) % 0.85/1.06 (define @t6 () (_ tptp.member_a @t5)) % 0.85/1.06 (define @t7 () (_ @t6 @t4)) % 0.85/1.06 (define @t8 () (_ tptp.prefer1676310729than_a @t5)) % 0.85/1.06 (define @t9 () (_ (_ @t8 tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t10 () (_ tptp.member_a @t2)) % 0.85/1.06 (define @t11 () (_ @t10 @t9)) % 0.85/1.06 (define @t12 () (_ @t6 tptp.carrier)) % 0.85/1.06 (define @t13 () (_ @t10 tptp.carrier)) % 0.85/1.06 (define @t14 () (@list @t2 @t5)) % 0.85/1.06 (define @t15 () (_ (_ (_ tptp.prefer1676310729than_a tptp.y) tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t16 () (_ tptp.finite_card_a @t15)) % 0.85/1.06 (define @t17 () (_ (_ (_ tptp.prefer1676310729than_a tptp.x) tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t18 () (_ tptp.finite_card_a @t17)) % 0.85/1.06 (define @t19 () (_ (_ tptp.ord_less_eq_nat @t18) @t16)) % 0.85/1.06 (define @t20 () (_ tptp.ord_less_eq_set_a @t4)) % 0.85/1.06 (define @t21 () (_ (_ tptp.ord_less_eq_set_a @t9) @t4)) % 0.85/1.06 (define @t22 () (or @t21 (_ @t20 @t9))) % 0.85/1.06 (define @t23 () (@list @t5 @t2)) % 0.85/1.06 (define @t24 () (forall @t23 @t22)) % 0.85/1.06 (define @t25 () (@list @t2)) % 0.85/1.06 (define @t26 () (_ tptp.finite_finite_a tptp.carrier)) % 0.85/1.06 (define @t27 () (_ @t20 @t4)) % 0.85/1.06 (define @t28 () (_ tptp.product_Pair_a_a @t2)) % 0.85/1.06 (define @t29 () (_ tptp.member449909584od_a_a (_ @t28 @t5))) % 0.85/1.06 (define @t30 () (_ @t29 tptp.relation)) % 0.85/1.06 (define @t31 () (not (= tptp.carrier tptp.bot_bot_set_a))) % 0.85/1.06 (define @t32 () (@var "X2" tptp.a)) % 0.85/1.06 (define @t33 () (_ tptp.prefer1676310729than_a @t32)) % 0.85/1.06 (define @t34 () (_ (_ @t33 tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t35 () (_ tptp.finite_finite_a @t34)) % 0.85/1.06 (define @t36 () (_ tptp.member_a @t32)) % 0.85/1.06 (define @t37 () (_ @t36 tptp.carrier)) % 0.85/1.06 (define @t38 () (@list @t32)) % 0.85/1.06 (define @t39 () (forall @t38 (=> @t37 @t35))) % 0.85/1.06 (define @t40 () (_ tptp.product_Pair_a_a @t5)) % 0.85/1.06 (define @t41 () (_ tptp.member449909584od_a_a (_ @t40 @t2))) % 0.85/1.06 (define @t42 () (_ @t41 tptp.relation)) % 0.85/1.06 (define @t43 () (and @t30 @t42)) % 0.85/1.06 (define @t44 () (@var "Xa" tptp.a)) % 0.85/1.06 (define @t45 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t44) @t32))) % 0.85/1.06 (define @t46 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t32) @t44))) % 0.85/1.06 (define @t47 () (_ tptp.member_a @t44)) % 0.85/1.06 (define @t48 () (@list @t44)) % 0.85/1.06 (define @t49 () (not (= @t2 @t5))) % 0.85/1.06 (define @t50 () (@var "Z" tptp.a)) % 0.85/1.06 (define @t51 () (_ tptp.product_Pair_a_a @t50)) % 0.85/1.06 (define @t52 () (_ tptp.member449909584od_a_a (_ @t51 @t2))) % 0.85/1.06 (define @t53 () (_ @t52 tptp.relation)) % 0.85/1.06 (define @t54 () (_ tptp.member449909584od_a_a (_ @t28 @t50))) % 0.85/1.06 (define @t55 () (_ @t54 tptp.relation)) % 0.85/1.06 (define @t56 () (and @t55 (not @t53))) % 0.85/1.06 (define @t57 () (_ tptp.member449909584od_a_a (_ @t51 @t5))) % 0.85/1.06 (define @t58 () (_ @t57 tptp.relation)) % 0.85/1.06 (define @t59 () (_ tptp.member449909584od_a_a (_ @t40 @t50))) % 0.85/1.06 (define @t60 () (_ @t59 tptp.relation)) % 0.85/1.06 (define @t61 () (not @t42)) % 0.85/1.06 (define @t62 () (and @t30 @t61)) % 0.85/1.06 (define @t63 () (@list @t2 @t5 @t50)) % 0.85/1.06 (define @t64 () (_ tptp.member_a @t50)) % 0.85/1.06 (define @t65 () (and @t13 @t12 (_ @t64 tptp.carrier))) % 0.85/1.06 (define @t66 () (@var "Relation" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t67 () (@var "Carrier" tptp.set_a)) % 0.85/1.06 (define @t68 () (_ (_ tptp.prefer1292084992ence_a @t67) @t66)) % 0.85/1.06 (define @t69 () (_ (_ tptp.prefer719835986ence_a @t67) @t66)) % 0.85/1.06 (define @t70 () (@list @t67 @t66)) % 0.85/1.06 (define @t71 () (_ @t41 @t66)) % 0.85/1.06 (define @t72 () (_ @t29 @t66)) % 0.85/1.06 (define @t73 () (and @t72 @t71)) % 0.85/1.06 (define @t74 () (@list @t67 @t66 @t2 @t5)) % 0.85/1.06 (define @t75 () (@var "Relation" tptp.set_Pr1948701895od_a_a)) % 0.85/1.06 (define @t76 () (@var "Carrier" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t77 () (_ (_ tptp.prefer1338892073od_a_a @t76) @t75)) % 0.85/1.06 (define @t78 () (@var "Y3" tptp.product_prod_a_a)) % 0.85/1.06 (define @t79 () (_ tptp.member449909584od_a_a @t78)) % 0.85/1.06 (define @t80 () (@var "X4" tptp.product_prod_a_a)) % 0.85/1.06 (define @t81 () (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t80) @t78))) % 0.85/1.06 (define @t82 () (_ @t81 @t75)) % 0.85/1.06 (define @t83 () (@list @t80 @t78)) % 0.85/1.06 (define @t84 () (_ tptp.member449909584od_a_a @t80)) % 0.85/1.06 (define @t85 () (@var "Relation" tptp.set_Pr1986765409at_nat)) % 0.85/1.06 (define @t86 () (@var "Carrier" tptp.set_nat)) % 0.85/1.06 (define @t87 () (_ (_ tptp.prefer1293349710ce_nat @t86) @t85)) % 0.85/1.06 (define @t88 () (@var "Y3" tptp.nat)) % 0.85/1.06 (define @t89 () (_ tptp.member_nat @t88)) % 0.85/1.06 (define @t90 () (@var "X4" tptp.nat)) % 0.85/1.06 (define @t91 () (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t90) @t88))) % 0.85/1.06 (define @t92 () (_ @t91 @t85)) % 0.85/1.06 (define @t93 () (@list @t90 @t88)) % 0.85/1.06 (define @t94 () (_ tptp.member_nat @t90)) % 0.85/1.06 (define @t95 () (_ (_ tptp.order_preorder_on_a @t67) @t66)) % 0.85/1.06 (define @t96 () (@var "Y3" tptp.a)) % 0.85/1.06 (define @t97 () (_ tptp.member_a @t96)) % 0.85/1.06 (define @t98 () (@var "X4" tptp.a)) % 0.85/1.06 (define @t99 () (_ tptp.product_Pair_a_a @t98)) % 0.85/1.06 (define @t100 () (_ @t99 @t96)) % 0.85/1.06 (define @t101 () (_ tptp.member449909584od_a_a @t100)) % 0.85/1.06 (define @t102 () (_ @t101 @t66)) % 0.85/1.06 (define @t103 () (@list @t98 @t96)) % 0.85/1.06 (define @t104 () (_ tptp.member_a @t98)) % 0.85/1.06 (define @t105 () (@var "X" tptp.product_prod_a_a)) % 0.85/1.06 (define @t106 () (_ tptp.member449909584od_a_a @t105)) % 0.85/1.06 (define @t107 () (_ @t106 @t76)) % 0.85/1.06 (define @t108 () (@var "Y" tptp.product_prod_a_a)) % 0.85/1.06 (define @t109 () (_ tptp.produc1474507607od_a_a @t105)) % 0.85/1.06 (define @t110 () (_ tptp.member2057358096od_a_a (_ @t109 @t108))) % 0.85/1.06 (define @t111 () (_ @t110 @t75)) % 0.85/1.06 (define @t112 () (@list @t76 @t75 @t105 @t108)) % 0.85/1.06 (define @t113 () (@var "X" tptp.nat)) % 0.85/1.06 (define @t114 () (_ tptp.member_nat @t113)) % 0.85/1.06 (define @t115 () (_ @t114 @t86)) % 0.85/1.06 (define @t116 () (@var "Y" tptp.nat)) % 0.85/1.06 (define @t117 () (_ tptp.product_Pair_nat_nat @t113)) % 0.85/1.06 (define @t118 () (_ @t117 @t116)) % 0.85/1.06 (define @t119 () (_ tptp.member701585322at_nat @t118)) % 0.85/1.06 (define @t120 () (_ @t119 @t85)) % 0.85/1.06 (define @t121 () (@list @t86 @t85 @t113 @t116)) % 0.85/1.06 (define @t122 () (_ @t10 @t67)) % 0.85/1.06 (define @t123 () (_ @t52 @t66)) % 0.85/1.06 (define @t124 () (_ @t54 @t66)) % 0.85/1.06 (define @t125 () (_ @t57 @t66)) % 0.85/1.06 (define @t126 () (_ @t59 @t66)) % 0.85/1.06 (define @t127 () (@list @t67 @t66 @t2 @t5 @t50)) % 0.85/1.06 (define @t128 () (_ @t36 @t67)) % 0.85/1.06 (define @t129 () (_ (_ tptp.total_on_a @t67) @t66)) % 0.85/1.06 (define @t130 () (_ tptp.produc1474507607od_a_a @t108)) % 0.85/1.06 (define @t131 () (_ (_ tptp.member2057358096od_a_a (_ @t130 @t105)) @t75)) % 0.85/1.06 (define @t132 () (_ tptp.member449909584od_a_a @t108)) % 0.85/1.06 (define @t133 () (_ @t132 @t76)) % 0.85/1.06 (define @t134 () (_ (_ tptp.prefer697821563od_a_a @t76) @t75)) % 0.85/1.06 (define @t135 () (_ tptp.product_Pair_nat_nat @t116)) % 0.85/1.06 (define @t136 () (_ (_ tptp.member701585322at_nat (_ @t135 @t113)) @t85)) % 0.85/1.06 (define @t137 () (= @t113 @t116)) % 0.85/1.06 (define @t138 () (_ tptp.member_nat @t116)) % 0.85/1.06 (define @t139 () (_ @t138 @t86)) % 0.85/1.06 (define @t140 () (_ (_ tptp.prefer1147844220ce_nat @t86) @t85)) % 0.85/1.06 (define @t141 () (_ @t6 @t67)) % 0.85/1.06 (define @t142 () (and @t124 (not @t123))) % 0.85/1.06 (define @t143 () (not @t71)) % 0.85/1.06 (define @t144 () (and @t72 @t143)) % 0.85/1.06 (define @t145 () (@var "Z" tptp.product_prod_a_a)) % 0.85/1.06 (define @t146 () (_ (_ tptp.member2057358096od_a_a (_ @t109 @t145)) @t75)) % 0.85/1.06 (define @t147 () (_ (_ tptp.member2057358096od_a_a (_ @t130 @t145)) @t75)) % 0.85/1.06 (define @t148 () (_ tptp.member449909584od_a_a @t145)) % 0.85/1.06 (define @t149 () (and @t107 @t133 (_ @t148 @t76))) % 0.85/1.06 (define @t150 () (@list @t76 @t75 @t105 @t108 @t145)) % 0.85/1.06 (define @t151 () (@var "Z" tptp.nat)) % 0.85/1.06 (define @t152 () (_ (_ tptp.member701585322at_nat (_ @t117 @t151)) @t85)) % 0.85/1.06 (define @t153 () (_ (_ tptp.member701585322at_nat (_ @t135 @t151)) @t85)) % 0.85/1.06 (define @t154 () (_ tptp.member_nat @t151)) % 0.85/1.06 (define @t155 () (and @t115 @t139 (_ @t154 @t86))) % 0.85/1.06 (define @t156 () (@list @t86 @t85 @t113 @t116 @t151)) % 0.85/1.06 (define @t157 () (and @t122 @t141 (_ @t64 @t67))) % 0.85/1.06 (define @t158 () (_ tptp.finite179568208od_a_a @t76)) % 0.85/1.06 (define @t159 () (@list @t76 @t75)) % 0.85/1.06 (define @t160 () (_ tptp.finite_finite_nat @t86)) % 0.85/1.06 (define @t161 () (@list @t86 @t85)) % 0.85/1.06 (define @t162 () (_ tptp.finite_finite_a @t67)) % 0.85/1.06 (define @t163 () (not @t131)) % 0.85/1.06 (define @t164 () (and @t111 @t163)) % 0.85/1.06 (define @t165 () (not @t136)) % 0.85/1.06 (define @t166 () (and @t120 @t165)) % 0.85/1.06 (define @t167 () (@var "A" tptp.a)) % 0.85/1.06 (define @t168 () (@var "P" (-> tptp.a Bool))) % 0.85/1.06 (define @t169 () (_ tptp.collect_a @t168)) % 0.85/1.06 (define @t170 () (_ tptp.member_a @t167)) % 0.85/1.06 (define @t171 () (@var "A" tptp.product_prod_a_a)) % 0.85/1.06 (define @t172 () (@var "P" (-> tptp.product_prod_a_a Bool))) % 0.85/1.06 (define @t173 () (_ tptp.member449909584od_a_a @t171)) % 0.85/1.06 (define @t174 () (@var "A" tptp.nat)) % 0.85/1.06 (define @t175 () (@var "P" (-> tptp.nat Bool))) % 0.85/1.06 (define @t176 () (_ tptp.member_nat @t174)) % 0.85/1.06 (define @t177 () (@var "A2" tptp.set_a)) % 0.85/1.06 (define @t178 () (@var "X3" tptp.a)) % 0.85/1.06 (define @t179 () (_ tptp.member_a @t178)) % 0.85/1.06 (define @t180 () (_ @t179 @t177)) % 0.85/1.06 (define @t181 () (@list @t178)) % 0.85/1.06 (define @t182 () (@list @t177)) % 0.85/1.06 (define @t183 () (@var "A2" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t184 () (@var "X3" tptp.product_prod_a_a)) % 0.85/1.06 (define @t185 () (_ tptp.member449909584od_a_a @t184)) % 0.85/1.06 (define @t186 () (_ @t185 @t183)) % 0.85/1.06 (define @t187 () (@list @t184)) % 0.85/1.06 (define @t188 () (@list @t183)) % 0.85/1.06 (define @t189 () (@var "A2" tptp.set_nat)) % 0.85/1.06 (define @t190 () (@var "X3" tptp.nat)) % 0.85/1.06 (define @t191 () (_ tptp.member_nat @t190)) % 0.85/1.06 (define @t192 () (_ @t191 @t189)) % 0.85/1.06 (define @t193 () (@list @t190)) % 0.85/1.06 (define @t194 () (@list @t189)) % 0.85/1.06 (define @t195 () (_ tptp.produc1474507607od_a_a @t145)) % 0.85/1.06 (define @t196 () (_ tptp.member2057358096od_a_a (_ @t195 @t108))) % 0.85/1.06 (define @t197 () (_ @t196 @t75)) % 0.85/1.06 (define @t198 () (_ tptp.product_Pair_nat_nat @t151)) % 0.85/1.06 (define @t199 () (_ tptp.member701585322at_nat (_ @t198 @t116))) % 0.85/1.06 (define @t200 () (_ @t199 @t85)) % 0.85/1.06 (define @t201 () (_ (_ (_ tptp.prefer1498087410od_a_a @t108) @t76) @t75)) % 0.85/1.06 (define @t202 () (_ (_ (_ tptp.prefer1672638789an_nat @t116) @t86) @t85)) % 0.85/1.06 (define @t203 () (_ (_ @t8 @t67) @t66)) % 0.85/1.06 (define @t204 () (and @t111 @t131)) % 0.85/1.06 (define @t205 () (_ (_ (_ tptp.prefer1498087410od_a_a @t105) @t76) @t75)) % 0.85/1.06 (define @t206 () (_ @t132 @t205)) % 0.85/1.06 (define @t207 () (_ @t106 @t201)) % 0.85/1.06 (define @t208 () (and @t120 @t136)) % 0.85/1.06 (define @t209 () (_ (_ (_ tptp.prefer1672638789an_nat @t113) @t86) @t85)) % 0.85/1.06 (define @t210 () (_ @t138 @t209)) % 0.85/1.06 (define @t211 () (_ @t114 @t202)) % 0.85/1.06 (define @t212 () (_ (_ @t3 @t67) @t66)) % 0.85/1.06 (define @t213 () (_ @t6 @t212)) % 0.85/1.06 (define @t214 () (_ @t10 @t203)) % 0.85/1.06 (define @t215 () (@var "X2" tptp.product_prod_a_a)) % 0.85/1.06 (define @t216 () (_ tptp.member449909584od_a_a @t215)) % 0.85/1.06 (define @t217 () (@list @t215)) % 0.85/1.06 (define @t218 () (@var "X2" tptp.nat)) % 0.85/1.06 (define @t219 () (_ tptp.member_nat @t218)) % 0.85/1.06 (define @t220 () (@list @t218)) % 0.85/1.06 (define @t221 () (not (= @t76 tptp.bot_bo2131659635od_a_a))) % 0.85/1.06 (define @t222 () (@list @t76 @t75 @t105)) % 0.85/1.06 (define @t223 () (not (= @t86 tptp.bot_bot_set_nat))) % 0.85/1.06 (define @t224 () (@list @t86 @t85 @t113)) % 0.85/1.06 (define @t225 () (not (= @t67 tptp.bot_bot_set_a))) % 0.85/1.06 (define @t226 () (@list @t67 @t66 @t2)) % 0.85/1.06 (define @t227 () (_ (_ tptp.ord_less_eq_set_a @t203) @t212)) % 0.85/1.06 (define @t228 () (_ tptp.ord_le1824328871od_a_a @t205)) % 0.85/1.06 (define @t229 () (_ @t228 @t205)) % 0.85/1.06 (define @t230 () (_ tptp.ord_less_eq_set_nat @t209)) % 0.85/1.06 (define @t231 () (_ @t230 @t209)) % 0.85/1.06 (define @t232 () (_ tptp.ord_less_eq_set_a @t212)) % 0.85/1.06 (define @t233 () (_ @t232 @t212)) % 0.85/1.06 (define @t234 () (_ tptp.prefer161218362good_a @t5)) % 0.85/1.06 (define @t235 () (_ (_ @t234 tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t236 () (_ @t10 @t235)) % 0.85/1.06 (define @t237 () (_ tptp.prefer161218362good_a @t50)) % 0.85/1.06 (define @t238 () (and @t58 @t60)) % 0.85/1.06 (define @t239 () (@list @t50 @t5)) % 0.85/1.06 (define @t240 () (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a)) % 0.85/1.06 (define @t241 () (= @t177 tptp.bot_bot_set_a)) % 0.85/1.06 (define @t242 () (_ tptp.ord_less_eq_set_a @t177)) % 0.85/1.06 (define @t243 () (_ @t242 tptp.bot_bot_set_a)) % 0.85/1.06 (define @t244 () (@var "D" tptp.set_a)) % 0.85/1.06 (define @t245 () (@var "B" tptp.set_a)) % 0.85/1.06 (define @t246 () (_ tptp.ord_less_eq_set_a @t245)) % 0.85/1.06 (define @t247 () (_ @t246 @t244)) % 0.85/1.06 (define @t248 () (@var "C" tptp.set_a)) % 0.85/1.06 (define @t249 () (@var "A" tptp.set_a)) % 0.85/1.06 (define @t250 () (_ tptp.ord_less_eq_set_a @t249)) % 0.85/1.06 (define @t251 () (_ @t250 @t248)) % 0.85/1.06 (define @t252 () (@var "D" tptp.nat)) % 0.85/1.06 (define @t253 () (@var "B" tptp.nat)) % 0.85/1.06 (define @t254 () (_ tptp.ord_less_eq_nat @t253)) % 0.85/1.06 (define @t255 () (_ @t254 @t252)) % 0.85/1.06 (define @t256 () (@var "C" tptp.nat)) % 0.85/1.06 (define @t257 () (_ tptp.ord_less_eq_nat @t174)) % 0.85/1.06 (define @t258 () (_ @t257 @t256)) % 0.85/1.06 (define @t259 () (_ tptp.product_Pair_nat_nat @t174)) % 0.85/1.06 (define @t260 () (_ @t259 @t253)) % 0.85/1.06 (define @t261 () (_ tptp.prefer436369274d_as_a @t5)) % 0.85/1.06 (define @t262 () (_ (_ @t261 tptp.carrier) tptp.relation)) % 0.85/1.06 (define @t263 () (@var "B2" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t264 () (_ tptp.finite1481642319od_a_a @t263)) % 0.85/1.06 (define @t265 () (_ tptp.finite1481642319od_a_a @t183)) % 0.85/1.06 (define @t266 () (_ tptp.ord_less_eq_nat @t265)) % 0.85/1.06 (define @t267 () (_ @t266 @t264)) % 0.85/1.06 (define @t268 () (_ tptp.ord_le1824328871od_a_a @t183)) % 0.85/1.06 (define @t269 () (_ @t268 @t263)) % 0.85/1.06 (define @t270 () (_ tptp.finite179568208od_a_a @t263)) % 0.85/1.06 (define @t271 () (@list @t263 @t183)) % 0.85/1.06 (define @t272 () (@var "B2" tptp.set_nat)) % 0.85/1.06 (define @t273 () (_ tptp.finite_card_nat @t272)) % 0.85/1.06 (define @t274 () (_ tptp.finite_card_nat @t189)) % 0.85/1.06 (define @t275 () (_ tptp.ord_less_eq_nat @t274)) % 0.85/1.06 (define @t276 () (_ @t275 @t273)) % 0.85/1.06 (define @t277 () (_ tptp.ord_less_eq_set_nat @t189)) % 0.85/1.06 (define @t278 () (_ @t277 @t272)) % 0.85/1.06 (define @t279 () (_ tptp.finite_finite_nat @t272)) % 0.85/1.06 (define @t280 () (@list @t272 @t189)) % 0.85/1.06 (define @t281 () (@var "B2" tptp.set_a)) % 0.85/1.06 (define @t282 () (_ tptp.finite_card_a @t281)) % 0.85/1.06 (define @t283 () (_ tptp.finite_card_a @t177)) % 0.85/1.06 (define @t284 () (_ tptp.ord_less_eq_nat @t283)) % 0.85/1.06 (define @t285 () (_ @t284 @t282)) % 0.85/1.06 (define @t286 () (_ @t242 @t281)) % 0.85/1.06 (define @t287 () (_ tptp.finite_finite_a @t281)) % 0.85/1.06 (define @t288 () (@list @t281 @t177)) % 0.85/1.06 (define @t289 () (_ @t168 @t178)) % 0.85/1.06 (define @t290 () (forall @t181 (not @t289))) % 0.85/1.06 (define @t291 () (@list @t168)) % 0.85/1.06 (define @t292 () (= @t169 tptp.bot_bot_set_a)) % 0.85/1.06 (define @t293 () (= @t183 tptp.bot_bo2131659635od_a_a)) % 0.85/1.06 (define @t294 () (= @t189 tptp.bot_bot_set_nat)) % 0.85/1.06 (define @t295 () (@var "C" tptp.product_prod_a_a)) % 0.85/1.06 (define @t296 () (_ tptp.member449909584od_a_a @t295)) % 0.85/1.06 (define @t297 () (_ tptp.member_nat @t256)) % 0.85/1.06 (define @t298 () (@var "C" tptp.a)) % 0.85/1.06 (define @t299 () (_ tptp.member_a @t298)) % 0.85/1.06 (define @t300 () (_ @t84 @t183)) % 0.85/1.06 (define @t301 () (@list @t80)) % 0.85/1.06 (define @t302 () (@list @t183 @t263)) % 0.85/1.06 (define @t303 () (_ @t94 @t189)) % 0.85/1.06 (define @t304 () (@list @t90)) % 0.85/1.06 (define @t305 () (@list @t189 @t272)) % 0.85/1.06 (define @t306 () (_ @t104 @t177)) % 0.85/1.06 (define @t307 () (@list @t98)) % 0.85/1.06 (define @t308 () (@list @t177 @t281)) % 0.85/1.06 (define @t309 () (= @t177 @t281)) % 0.85/1.06 (define @t310 () (_ tptp.ord_less_eq_set_a @t281)) % 0.85/1.06 (define @t311 () (_ @t310 @t177)) % 0.85/1.06 (define @t312 () (@var "Pr" tptp.set_Pr1948701895od_a_a)) % 0.85/1.06 (define @t313 () (_ tptp.prefer477097315od_a_a @t108)) % 0.85/1.06 (define @t314 () (_ (_ @t313 @t263) @t312)) % 0.85/1.06 (define @t315 () (@var "Pr" tptp.set_Pr1986765409at_nat)) % 0.85/1.06 (define @t316 () (_ tptp.prefer563798164od_nat @t116)) % 0.85/1.06 (define @t317 () (_ (_ @t316 @t272) @t315)) % 0.85/1.06 (define @t318 () (@var "Pr" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t319 () (_ (_ @t234 @t281) @t318)) % 0.85/1.06 (define @t320 () (not @t294)) % 0.85/1.06 (define @t321 () (_ @t79 @t183)) % 0.85/1.06 (define @t322 () (_ @t89 @t189)) % 0.85/1.06 (define @t323 () (@list @t88)) % 0.85/1.06 (define @t324 () (_ @t97 @t177)) % 0.85/1.06 (define @t325 () (_ @t173 @t183)) % 0.85/1.06 (define @t326 () (_ @t176 @t189)) % 0.85/1.06 (define @t327 () (@list @t189 @t174)) % 0.85/1.06 (define @t328 () (_ @t170 @t177)) % 0.85/1.06 (define @t329 () (@list @t174)) % 0.85/1.06 (define @t330 () (_ @t106 @t183)) % 0.85/1.06 (define @t331 () (_ @t114 @t189)) % 0.85/1.06 (define @t332 () (_ @t10 @t177)) % 0.85/1.06 (define @t333 () (@var "B3" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t334 () (@var "T" tptp.product_prod_a_a)) % 0.85/1.06 (define @t335 () (_ tptp.member449909584od_a_a @t334)) % 0.85/1.06 (define @t336 () (@var "A3" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t337 () (@list @t336 @t333)) % 0.85/1.06 (define @t338 () (@var "B3" tptp.set_nat)) % 0.85/1.06 (define @t339 () (@var "T" tptp.nat)) % 0.85/1.06 (define @t340 () (_ tptp.member_nat @t339)) % 0.85/1.06 (define @t341 () (@var "A3" tptp.set_nat)) % 0.85/1.06 (define @t342 () (@list @t341 @t338)) % 0.85/1.06 (define @t343 () (@var "B3" tptp.set_a)) % 0.85/1.06 (define @t344 () (@var "T" tptp.a)) % 0.85/1.06 (define @t345 () (_ tptp.member_a @t344)) % 0.85/1.06 (define @t346 () (@var "A3" tptp.set_a)) % 0.85/1.06 (define @t347 () (@list @t346 @t343)) % 0.85/1.06 (define @t348 () (@var "Q" (-> tptp.a Bool))) % 0.85/1.06 (define @t349 () (_ (_ tptp.ord_less_eq_set_a @t169) (_ tptp.collect_a @t348))) % 0.85/1.06 (define @t350 () (@list @t168 @t348)) % 0.85/1.06 (define @t351 () (@var "C2" tptp.set_a)) % 0.85/1.06 (define @t352 () (@var "Z2" tptp.set_a)) % 0.85/1.06 (define @t353 () (@var "Y4" tptp.set_a)) % 0.85/1.06 (define @t354 () (lambda (@list @t353 @t352) (= @t353 @t352))) % 0.85/1.06 (define @t355 () (_ (_ @t234 @t67) @t66)) % 0.85/1.06 (define @t356 () (and @t125 @t126)) % 0.85/1.06 (define @t357 () (@list @t67 @t66 @t50 @t5)) % 0.85/1.06 (define @t358 () (_ @t106 (_ (_ @t313 @t76) @t75))) % 0.85/1.06 (define @t359 () (_ @t114 (_ (_ @t316 @t86) @t85))) % 0.85/1.06 (define @t360 () (_ @t10 @t355)) % 0.85/1.06 (define @t361 () (_ (_ (_ tptp.prefer74720675od_a_a @t108) @t76) @t75)) % 0.85/1.06 (define @t362 () (_ (_ (_ tptp.prefer1936906324as_nat @t116) @t86) @t85)) % 0.85/1.06 (define @t363 () (_ (_ @t261 @t67) @t66)) % 0.85/1.06 (define @t364 () (@var "Y5" tptp.set_a)) % 0.85/1.06 (define @t365 () (@var "X5" tptp.set_a)) % 0.85/1.06 (define @t366 () (@var "Y" tptp.set_a)) % 0.85/1.06 (define @t367 () (@var "X" tptp.set_a)) % 0.85/1.06 (define @t368 () (_ tptp.ord_less_eq_set_a @t366)) % 0.85/1.06 (define @t369 () (_ @t368 @t364)) % 0.85/1.06 (define @t370 () (_ tptp.ord_less_eq_set_a @t367)) % 0.85/1.06 (define @t371 () (_ @t370 @t365)) % 0.85/1.06 (define @t372 () (@var "Y5" tptp.nat)) % 0.85/1.06 (define @t373 () (_ tptp.ord_less_eq_nat @t116)) % 0.85/1.06 (define @t374 () (_ @t373 @t372)) % 0.85/1.06 (define @t375 () (@var "X5" tptp.nat)) % 0.85/1.06 (define @t376 () (_ tptp.ord_less_eq_nat @t113)) % 0.85/1.06 (define @t377 () (_ @t376 @t375)) % 0.85/1.06 (define @t378 () (@var "Xa" tptp.set_a)) % 0.85/1.06 (define @t379 () (@var "X4" tptp.set_a)) % 0.85/1.06 (define @t380 () (= @t379 @t378)) % 0.85/1.06 (define @t381 () (_ tptp.ord_less_eq_set_a @t379)) % 0.85/1.06 (define @t382 () (@var "A2" tptp.set_set_a)) % 0.85/1.06 (define @t383 () (_ (_ tptp.member_set_a @t378) @t382)) % 0.85/1.06 (define @t384 () (@list @t378)) % 0.85/1.06 (define @t385 () (forall @t384 (=> @t383 (=> (_ @t381 @t378) @t380)))) % 0.85/1.06 (define @t386 () (_ (_ tptp.member_set_a @t379) @t382)) % 0.85/1.06 (define @t387 () (@list @t379)) % 0.85/1.06 (define @t388 () (_ (_ tptp.member_set_a @t249) @t382)) % 0.85/1.06 (define @t389 () (_ tptp.finite_finite_set_a @t382)) % 0.85/1.06 (define @t390 () (@list @t382 @t249)) % 0.85/1.06 (define @t391 () (@var "Xa" tptp.nat)) % 0.85/1.06 (define @t392 () (= @t90 @t391)) % 0.85/1.06 (define @t393 () (_ tptp.ord_less_eq_nat @t90)) % 0.85/1.06 (define @t394 () (_ (_ tptp.member_nat @t391) @t189)) % 0.85/1.06 (define @t395 () (@list @t391)) % 0.85/1.06 (define @t396 () (forall @t395 (=> @t394 (=> (_ @t393 @t391) @t392)))) % 0.85/1.06 (define @t397 () (_ tptp.finite_finite_nat @t189)) % 0.85/1.06 (define @t398 () (forall @t384 (=> @t383 (=> (_ (_ tptp.ord_less_eq_set_a @t378) @t379) @t380)))) % 0.85/1.06 (define @t399 () (forall @t395 (=> @t394 (=> (_ (_ tptp.ord_less_eq_nat @t391) @t90) @t392)))) % 0.85/1.06 (define @t400 () (@var "S" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t401 () (not (_ tptp.finite179568208od_a_a @t400))) % 0.85/1.06 (define @t402 () (@var "S" tptp.set_nat)) % 0.85/1.06 (define @t403 () (not (_ tptp.finite_finite_nat @t402))) % 0.85/1.06 (define @t404 () (@list @t402)) % 0.85/1.06 (define @t405 () (@var "S" tptp.set_a)) % 0.85/1.06 (define @t406 () (not (_ tptp.finite_finite_a @t405))) % 0.85/1.06 (define @t407 () (_ tptp.finite179568208od_a_a @t183)) % 0.85/1.06 (define @t408 () (_ tptp.finite_finite_a @t177)) % 0.85/1.06 (define @t409 () (@var "T2" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t410 () (@var "T2" tptp.set_nat)) % 0.85/1.06 (define @t411 () (@var "T2" tptp.set_a)) % 0.85/1.06 (define @t412 () (not (= @t382 tptp.bot_bot_set_set_a))) % 0.85/1.06 (define @t413 () (@list @t382)) % 0.85/1.06 (define @t414 () (= @t183 @t263)) % 0.85/1.06 (define @t415 () (= @t189 @t272)) % 0.85/1.06 (define @t416 () (@var "B4" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t417 () (@var "N" tptp.nat)) % 0.85/1.06 (define @t418 () (@var "B4" tptp.set_nat)) % 0.85/1.06 (define @t419 () (@var "B4" tptp.set_a)) % 0.85/1.06 (define @t420 () (@var "C2" tptp.nat)) % 0.85/1.06 (define @t421 () (@var "F" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t422 () (@var "G" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t423 () (@var "F" tptp.set_nat)) % 0.85/1.06 (define @t424 () (@var "G" tptp.set_nat)) % 0.85/1.06 (define @t425 () (@var "F" tptp.set_a)) % 0.85/1.06 (define @t426 () (@var "G" tptp.set_a)) % 0.85/1.06 (define @t427 () (_ (_ tptp.ord_less_eq_nat @t282) @t283)) % 0.85/1.06 (define @t428 () (=> @t427 @t309)) % 0.85/1.06 (define @t429 () (=> @t286 @t428)) % 0.85/1.06 (define @t430 () (=> @t287 @t429)) % 0.85/1.06 (define @t431 () (forall @t288 @t430)) % 0.85/1.06 (define @t432 () (@var "T3" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t433 () (_ tptp.ord_less_eq_nat @t417)) % 0.85/1.06 (define @t434 () (@var "T3" tptp.set_nat)) % 0.85/1.06 (define @t435 () (@var "T3" tptp.set_a)) % 0.85/1.06 (define @t436 () (@var "A22" tptp.product_prod_a_a)) % 0.85/1.06 (define @t437 () (@var "A1" tptp.product_prod_a_a)) % 0.85/1.06 (define @t438 () (= @t437 @t436)) % 0.85/1.06 (define @t439 () (@var "B6" tptp.a)) % 0.85/1.06 (define @t440 () (@var "R" (-> tptp.product_prod_a_a tptp.a Bool))) % 0.85/1.06 (define @t441 () (_ (_ tptp.member_a @t439) @t281)) % 0.85/1.06 (define @t442 () (_ (_ tptp.member449909584od_a_a @t436) @t183)) % 0.85/1.06 (define @t443 () (_ (_ tptp.member449909584od_a_a @t437) @t183)) % 0.85/1.06 (define @t444 () (@var "B5" tptp.a)) % 0.85/1.06 (define @t445 () (@var "A4" tptp.product_prod_a_a)) % 0.85/1.06 (define @t446 () (_ (_ tptp.member_a @t444) @t281)) % 0.85/1.06 (define @t447 () (@list @t444)) % 0.85/1.06 (define @t448 () (_ (_ tptp.member449909584od_a_a @t445) @t183)) % 0.85/1.06 (define @t449 () (@list @t445)) % 0.85/1.06 (define @t450 () (@var "A22" tptp.nat)) % 0.85/1.06 (define @t451 () (@var "A1" tptp.nat)) % 0.85/1.06 (define @t452 () (= @t451 @t450)) % 0.85/1.06 (define @t453 () (@var "R" (-> tptp.nat tptp.a Bool))) % 0.85/1.06 (define @t454 () (_ (_ tptp.member_nat @t450) @t189)) % 0.85/1.06 (define @t455 () (_ (_ tptp.member_nat @t451) @t189)) % 0.85/1.06 (define @t456 () (@var "A4" tptp.nat)) % 0.85/1.06 (define @t457 () (_ (_ tptp.member_nat @t456) @t189)) % 0.85/1.06 (define @t458 () (@list @t456)) % 0.85/1.06 (define @t459 () (@var "A22" tptp.a)) % 0.85/1.06 (define @t460 () (@var "A1" tptp.a)) % 0.85/1.06 (define @t461 () (= @t460 @t459)) % 0.85/1.06 (define @t462 () (@var "R" (-> tptp.a tptp.a Bool))) % 0.85/1.06 (define @t463 () (_ (_ tptp.member_a @t459) @t177)) % 0.85/1.06 (define @t464 () (_ (_ tptp.member_a @t460) @t177)) % 0.85/1.06 (define @t465 () (@var "A4" tptp.a)) % 0.85/1.06 (define @t466 () (_ (_ tptp.member_a @t465) @t177)) % 0.85/1.06 (define @t467 () (@list @t465)) % 0.85/1.06 (define @t468 () (@var "B6" tptp.product_prod_a_a)) % 0.85/1.06 (define @t469 () (@var "R" (-> tptp.product_prod_a_a tptp.product_prod_a_a Bool))) % 0.85/1.06 (define @t470 () (_ (_ tptp.member449909584od_a_a @t468) @t263)) % 0.85/1.06 (define @t471 () (@var "B5" tptp.product_prod_a_a)) % 0.85/1.06 (define @t472 () (_ (_ tptp.member449909584od_a_a @t471) @t263)) % 0.85/1.06 (define @t473 () (@list @t471)) % 0.85/1.06 (define @t474 () (@var "R" (-> tptp.nat tptp.product_prod_a_a Bool))) % 0.85/1.06 (define @t475 () (@var "R" (-> tptp.a tptp.product_prod_a_a Bool))) % 0.85/1.06 (define @t476 () (@var "B6" tptp.nat)) % 0.85/1.06 (define @t477 () (@var "R" (-> tptp.product_prod_a_a tptp.nat Bool))) % 0.85/1.06 (define @t478 () (_ (_ tptp.member_nat @t476) @t272)) % 0.85/1.06 (define @t479 () (@var "B5" tptp.nat)) % 0.85/1.06 (define @t480 () (_ (_ tptp.member_nat @t479) @t272)) % 0.85/1.06 (define @t481 () (@list @t479)) % 0.85/1.06 (define @t482 () (@var "R" (-> tptp.nat tptp.nat Bool))) % 0.85/1.06 (define @t483 () (@var "R" (-> tptp.a tptp.nat Bool))) % 0.85/1.06 (define @t484 () (@var "S2" tptp.set_a)) % 0.85/1.06 (define @t485 () (@var "B7" tptp.a)) % 0.85/1.06 (define @t486 () (@var "B" tptp.a)) % 0.85/1.06 (define @t487 () (= @t486 @t485)) % 0.85/1.06 (define @t488 () (@var "A5" tptp.a)) % 0.85/1.06 (define @t489 () (= @t167 @t488)) % 0.85/1.06 (define @t490 () (_ tptp.product_Pair_a_a @t167)) % 0.85/1.06 (define @t491 () (_ @t490 @t486)) % 0.85/1.06 (define @t492 () (= @t491 (_ (_ tptp.product_Pair_a_a @t488) @t485))) % 0.85/1.06 (define @t493 () (@list @t167 @t486 @t488 @t485)) % 0.85/1.06 (define @t494 () (@var "Y22" tptp.a)) % 0.85/1.06 (define @t495 () (@var "X22" tptp.a)) % 0.85/1.06 (define @t496 () (@var "Y1" tptp.a)) % 0.85/1.06 (define @t497 () (@var "X1" tptp.a)) % 0.85/1.06 (define @t498 () (= @t249 @t245)) % 0.85/1.06 (define @t499 () (_ @t250 @t245)) % 0.85/1.06 (define @t500 () (_ @t246 @t249)) % 0.85/1.06 (define @t501 () (= @t174 @t253)) % 0.85/1.06 (define @t502 () (_ @t257 @t253)) % 0.85/1.06 (define @t503 () (_ @t254 @t174)) % 0.85/1.06 (define @t504 () (@var "B8" tptp.set_a)) % 0.85/1.06 (define @t505 () (@var "A6" tptp.set_a)) % 0.85/1.06 (define @t506 () (_ (_ tptp.ord_less_eq_set_a @t505) @t504)) % 0.85/1.06 (define @t507 () (_ (_ tptp.ord_less_eq_set_a @t504) @t505)) % 0.85/1.06 (define @t508 () (@list @t505 @t504)) % 0.85/1.06 (define @t509 () (@var "B8" tptp.nat)) % 0.85/1.06 (define @t510 () (@var "A6" tptp.nat)) % 0.85/1.06 (define @t511 () (_ (_ tptp.ord_less_eq_nat @t510) @t509)) % 0.85/1.06 (define @t512 () (_ (_ tptp.ord_less_eq_nat @t509) @t510)) % 0.85/1.06 (define @t513 () (@list @t510 @t509)) % 0.85/1.06 (define @t514 () (@var "Z2" tptp.nat)) % 0.85/1.06 (define @t515 () (@var "Y4" tptp.nat)) % 0.85/1.06 (define @t516 () (lambda (@list @t515 @t514) (= @t515 @t514))) % 0.85/1.06 (define @t517 () (_ tptp.ord_less_eq_set_a @t248)) % 0.85/1.06 (define @t518 () (_ tptp.ord_less_eq_nat @t256)) % 0.85/1.06 (define @t519 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.85/1.06 (define @t520 () (_ (_ @t519 @t456) @t476)) % 0.85/1.06 (define @t521 () (@list @t456 @t476)) % 0.85/1.06 (define @t522 () (@list @t249)) % 0.85/1.06 (define @t523 () (@var "Z" tptp.set_a)) % 0.85/1.06 (define @t524 () (_ @t370 @t366)) % 0.85/1.06 (define @t525 () (_ @t376 @t151)) % 0.85/1.06 (define @t526 () (_ @t373 @t151)) % 0.85/1.06 (define @t527 () (_ @t376 @t116)) % 0.85/1.06 (define @t528 () (@list @t113 @t116 @t151)) % 0.85/1.06 (define @t529 () (@list @t249 @t245 @t248)) % 0.85/1.06 (define @t530 () (@list @t174 @t253 @t256)) % 0.85/1.06 (define @t531 () (_ @t246 @t248)) % 0.85/1.06 (define @t532 () (=> @t531 @t251)) % 0.85/1.06 (define @t533 () (_ @t254 @t256)) % 0.85/1.06 (define @t534 () (=> @t533 @t258)) % 0.85/1.06 (define @t535 () (= @t367 @t366)) % 0.85/1.06 (define @t536 () (_ @t368 @t367)) % 0.85/1.06 (define @t537 () (_ @t373 @t113)) % 0.85/1.06 (define @t538 () (not @t527)) % 0.85/1.06 (define @t539 () (_ tptp.ord_less_eq_nat @t151)) % 0.85/1.06 (define @t540 () (_ @t539 @t113)) % 0.85/1.06 (define @t541 () (_ @t539 @t116)) % 0.85/1.06 (define @t542 () (@list @t113 @t116)) % 0.85/1.06 (define @t543 () (@list @t367 @t366)) % 0.85/1.06 (define @t544 () (@var "X3" tptp.set_a)) % 0.85/1.06 (define @t545 () (@var "Y2" tptp.set_a)) % 0.85/1.06 (define @t546 () (@var "Y2" tptp.nat)) % 0.85/1.06 (define @t547 () (_ tptp.ord_less_eq_nat @t190)) % 0.85/1.06 (define @t548 () (@list @t190 @t546)) % 0.85/1.06 (define @t549 () (@var "F2" (-> tptp.set_a tptp.set_a))) % 0.85/1.06 (define @t550 () (@var "Y3" tptp.set_a)) % 0.85/1.06 (define @t551 () (_ @t381 @t550)) % 0.85/1.06 (define @t552 () (@list @t379 @t550)) % 0.85/1.06 (define @t553 () (forall @t552 (=> @t551 (_ (_ tptp.ord_less_eq_set_a (_ @t549 @t379)) (_ @t549 @t550))))) % 0.85/1.06 (define @t554 () (=> @t553 (_ (_ tptp.ord_less_eq_set_a (_ @t549 @t249)) @t248))) % 0.85/1.06 (define @t555 () (_ @t549 @t245)) % 0.85/1.06 (define @t556 () (@list @t249 @t245 @t549 @t248)) % 0.85/1.06 (define @t557 () (@var "F2" (-> tptp.set_a tptp.nat))) % 0.85/1.06 (define @t558 () (forall @t552 (=> @t551 (_ (_ tptp.ord_less_eq_nat (_ @t557 @t379)) (_ @t557 @t550))))) % 0.85/1.06 (define @t559 () (=> @t558 (_ (_ tptp.ord_less_eq_nat (_ @t557 @t249)) @t256))) % 0.85/1.06 (define @t560 () (_ @t557 @t245)) % 0.85/1.06 (define @t561 () (@list @t249 @t245 @t557 @t256)) % 0.85/1.06 (define @t562 () (@var "F2" (-> tptp.nat tptp.set_a))) % 0.85/1.06 (define @t563 () (_ @t393 @t88)) % 0.85/1.06 (define @t564 () (forall @t93 (=> @t563 (_ (_ tptp.ord_less_eq_set_a (_ @t562 @t90)) (_ @t562 @t88))))) % 0.85/1.06 (define @t565 () (=> @t564 (_ (_ tptp.ord_less_eq_set_a (_ @t562 @t174)) @t248))) % 0.85/1.06 (define @t566 () (_ @t562 @t253)) % 0.85/1.06 (define @t567 () (@list @t174 @t253 @t562 @t248)) % 0.85/1.06 (define @t568 () (@var "F2" (-> tptp.nat tptp.nat))) % 0.85/1.06 (define @t569 () (forall @t93 (=> @t563 (_ (_ tptp.ord_less_eq_nat (_ @t568 @t90)) (_ @t568 @t88))))) % 0.85/1.06 (define @t570 () (=> @t569 (_ (_ tptp.ord_less_eq_nat (_ @t568 @t174)) @t256))) % 0.85/1.06 (define @t571 () (_ @t568 @t253)) % 0.85/1.06 (define @t572 () (@list @t174 @t253 @t568 @t256)) % 0.85/1.06 (define @t573 () (=> @t531 (=> @t553 (_ @t250 (_ @t549 @t248))))) % 0.85/1.06 (define @t574 () (@list @t249 @t549 @t245 @t248)) % 0.85/1.06 (define @t575 () (=> @t531 (=> @t558 (_ @t257 (_ @t557 @t248))))) % 0.85/1.06 (define @t576 () (@list @t174 @t557 @t245 @t248)) % 0.85/1.06 (define @t577 () (=> @t533 (=> @t564 (_ @t250 (_ @t562 @t256))))) % 0.85/1.06 (define @t578 () (@list @t249 @t562 @t253 @t256)) % 0.85/1.06 (define @t579 () (=> @t533 (=> @t569 (_ @t257 (_ @t568 @t256))))) % 0.85/1.06 (define @t580 () (@list @t174 @t568 @t253 @t256)) % 0.85/1.06 (define @t581 () (@var "P2" tptp.product_prod_a_a)) % 0.85/1.06 (define @t582 () (_ (_ tptp.product_Pair_a_a @t465) @t439)) % 0.85/1.06 (define @t583 () (@list @t465 @t439)) % 0.85/1.06 (define @t584 () (forall @t583 (_ @t172 @t582))) % 0.85/1.06 (define @t585 () (@var "Prod" tptp.product_prod_a_a)) % 0.85/1.06 (define @t586 () (@var "M2" tptp.nat)) % 0.85/1.06 (define @t587 () (@list @t586)) % 0.85/1.06 (define @t588 () (@var "M" tptp.nat)) % 0.85/1.06 (define @t589 () (_ @t175 @t90)) % 0.85/1.06 (define @t590 () (= @t249 tptp.bot_bot_set_a)) % 0.85/1.06 (define @t591 () (_ @t250 tptp.bot_bot_set_a)) % 0.85/1.06 (define @t592 () (= @t174 tptp.bot_bot_nat)) % 0.85/1.06 (define @t593 () (_ @t257 tptp.bot_bot_nat)) % 0.85/1.06 (define @t594 () (@var "R" tptp.set_Pr1948701895od_a_a)) % 0.85/1.06 (define @t595 () (@var "R" tptp.set_Pr1986765409at_nat)) % 0.85/1.06 (define @t596 () (@var "R" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t597 () (_ tptp.product_Pair_a_a @t96)) % 0.85/1.06 (define @t598 () (_ @t101 @t596)) % 0.85/1.06 (define @t599 () (@var "S3" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t600 () (@var "B" tptp.product_prod_a_a)) % 0.85/1.06 (define @t601 () (_ tptp.produc1474507607od_a_a @t171)) % 0.85/1.06 (define @t602 () (_ (_ tptp.refl_o1298442278od_a_a @t183) @t594)) % 0.85/1.06 (define @t603 () (_ (_ tptp.refl_on_nat @t189) @t595)) % 0.85/1.06 (define @t604 () (_ (_ tptp.refl_on_a @t177) @t596)) % 0.85/1.06 (define @t605 () (_ @t110 @t594)) % 0.85/1.06 (define @t606 () (@list @t183 @t594 @t105 @t108)) % 0.85/1.06 (define @t607 () (_ @t119 @t595)) % 0.85/1.06 (define @t608 () (@list @t189 @t595 @t113 @t116)) % 0.85/1.06 (define @t609 () (_ @t29 @t596)) % 0.85/1.06 (define @t610 () (@list @t177 @t596 @t2 @t5)) % 0.85/1.06 (define @t611 () (@list @t596)) % 0.85/1.06 (define @t612 () (@var "N3" tptp.nat)) % 0.85/1.06 (define @t613 () (@var "M3" tptp.nat)) % 0.85/1.06 (define @t614 () (@list @t613)) % 0.85/1.06 (define @t615 () (@var "Y6" tptp.product_prod_a_a)) % 0.85/1.06 (define @t616 () (@var "R3" (-> tptp.product_prod_a_a tptp.product_prod_a_a Bool))) % 0.85/1.06 (define @t617 () (_ @t616 @t80)) % 0.85/1.06 (define @t618 () (@var "Z3" tptp.product_prod_a_a)) % 0.85/1.06 (define @t619 () (@var "Y6" tptp.nat)) % 0.85/1.06 (define @t620 () (@var "R3" (-> tptp.nat tptp.nat Bool))) % 0.85/1.06 (define @t621 () (_ @t620 @t90)) % 0.85/1.06 (define @t622 () (@list @t619)) % 0.85/1.06 (define @t623 () (@var "Z3" tptp.nat)) % 0.85/1.06 (define @t624 () (@var "Y6" tptp.a)) % 0.85/1.06 (define @t625 () (@var "R3" (-> tptp.a tptp.a Bool))) % 0.85/1.06 (define @t626 () (_ @t625 @t98)) % 0.85/1.06 (define @t627 () (@var "Z3" tptp.a)) % 0.85/1.06 (define @t628 () (@list @t98 @t96 @t627)) % 0.85/1.06 (define @t629 () (@var "R3" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t630 () (@var "S4" tptp.a)) % 0.85/1.06 (define @t631 () (@var "R" tptp.a)) % 0.85/1.06 (define @t632 () (_ tptp.product_Pair_a_a @t631)) % 0.85/1.06 (define @t633 () (@var "S3" tptp.a)) % 0.85/1.06 (define @t634 () (_ (_ tptp.prefer580340847ioms_a @t67) @t66)) % 0.85/1.06 (define @t635 () (@var "K" tptp.nat)) % 0.85/1.06 (define @t636 () (@var "P" (-> tptp.a tptp.nat Bool))) % 0.85/1.06 (define @t637 () (_ tptp.ord_less_eq_nat @t635)) % 0.85/1.06 (define @t638 () (_ @t637 @t586)) % 0.85/1.06 (define @t639 () (@list @t635)) % 0.85/1.06 (define @t640 () (@var "X_1" tptp.nat)) % 0.85/1.06 (define @t641 () (@list @t640)) % 0.85/1.06 (define @t642 () (@var "P" (-> tptp.product_prod_a_a tptp.nat Bool))) % 0.85/1.06 (define @t643 () (_ tptp.trans_a @t596)) % 0.85/1.06 (define @t644 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.85/1.06 (define @t645 () (@list @t417)) % 0.85/1.06 (define @t646 () (@var "K2" tptp.nat)) % 0.85/1.06 (define @t647 () (@var "M4" tptp.nat)) % 0.85/1.06 (define @t648 () (_ @t433 @t647)) % 0.85/1.06 (define @t649 () (_ (_ tptp.ord_less_eq_nat @t647) @t417)) % 0.85/1.06 (define @t650 () (@list @t647 @t417)) % 0.85/1.06 (define @t651 () (= @t647 @t417)) % 0.85/1.06 (define @t652 () (@var "I" tptp.nat)) % 0.85/1.06 (define @t653 () (_ tptp.ord_less_eq_nat @t652)) % 0.85/1.06 (define @t654 () (@var "J" tptp.nat)) % 0.85/1.06 (define @t655 () (= @t174 tptp.zero_zero_nat)) % 0.85/1.06 (define @t656 () (_ @t257 tptp.zero_zero_nat)) % 0.85/1.06 (define @t657 () (@var "I2" tptp.nat)) % 0.85/1.06 (define @t658 () (not (_ (_ tptp.ord_less_eq_set_a @t17) @t15))) % 0.85/1.06 (define @t659 () (@var "Relation2" tptp.set_Pr1948701895od_a_a)) % 0.85/1.06 (define @t660 () (@var "Carrier2" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t661 () (@var "Y2" tptp.product_prod_a_a)) % 0.85/1.06 (define @t662 () (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t184) @t661)) @t659)) % 0.85/1.06 (define @t663 () (@list @t184 @t661)) % 0.85/1.06 (define @t664 () (lambda (@list @t660 @t659) (and (forall @t663 (=> @t662 (_ @t185 @t660))) (forall @t663 (=> @t662 (_ (_ tptp.member449909584od_a_a @t661) @t660))) (_ (_ tptp.order_359341630od_a_a @t660) @t659)))) % 0.85/1.06 (define @t665 () (@var "Relation2" tptp.set_Pr1986765409at_nat)) % 0.85/1.06 (define @t666 () (@var "Carrier2" tptp.set_nat)) % 0.85/1.06 (define @t667 () (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t190) @t546)) @t665)) % 0.85/1.06 (define @t668 () (lambda (@list @t666 @t665) (and (forall @t548 (=> @t667 (_ @t191 @t666))) (forall @t548 (=> @t667 (_ (_ tptp.member_nat @t546) @t666))) (_ (_ tptp.order_1150839801on_nat @t666) @t665)))) % 0.85/1.06 (define @t669 () (@var "Relation2" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t670 () (@var "Carrier2" tptp.set_a)) % 0.85/1.06 (define @t671 () (@var "Y2" tptp.a)) % 0.85/1.06 (define @t672 () (_ tptp.member_a @t671)) % 0.85/1.06 (define @t673 () (_ tptp.product_Pair_a_a @t178)) % 0.85/1.06 (define @t674 () (_ tptp.member449909584od_a_a (_ @t673 @t671))) % 0.85/1.06 (define @t675 () (_ @t674 @t669)) % 0.85/1.06 (define @t676 () (@list @t178 @t671)) % 0.85/1.06 (define @t677 () (@list @t670 @t669)) % 0.85/1.06 (define @t678 () (lambda @t677 (and (forall @t676 (=> @t675 (_ @t179 @t670))) (forall @t676 (=> @t675 (_ @t672 @t670))) (_ (_ tptp.order_preorder_on_a @t670) @t669)))) % 0.85/1.06 (define @t679 () (lambda @t337 (forall @t187 (=> (_ @t185 @t336) (_ @t185 @t333))))) % 0.85/1.06 (define @t680 () (lambda @t342 (forall @t193 (=> (_ @t191 @t341) (_ @t191 @t338))))) % 0.85/1.06 (define @t681 () (_ @t179 @t343)) % 0.85/1.06 (define @t682 () (_ @t179 @t346)) % 0.85/1.06 (define @t683 () (forall @t181 (=> @t682 @t681))) % 0.85/1.06 (define @t684 () (lambda @t347 @t683)) % 0.85/1.06 (define @t685 () (@var "N2" tptp.set_nat)) % 0.85/1.06 (define @t686 () (lambda (@list @t685) (exists @t614 (forall @t193 (=> (_ @t191 @t685) (_ @t547 @t613)))))) % 0.85/1.06 (define @t687 () (@var "R2" tptp.set_Product_prod_a_a)) % 0.85/1.06 (define @t688 () (_ tptp.product_Pair_a_a @t671)) % 0.85/1.06 (define @t689 () (_ @t674 @t687)) % 0.85/1.06 (define @t690 () (@list @t346 @t687)) % 0.85/1.06 (define @t691 () (lambda @t690 (forall @t181 (=> @t682 (forall (@list @t671) (=> (_ @t672 @t346) (=> (not (= @t178 @t671)) (or @t689 (_ (_ tptp.member449909584od_a_a (_ @t688 @t178)) @t687))))))))) % 0.85/1.06 (define @t692 () (lambda @t187 (_ @t185 tptp.bot_bo2131659635od_a_a))) % 0.85/1.06 (define @t693 () (lambda @t193 (_ @t191 tptp.bot_bot_set_nat))) % 0.85/1.06 (define @t694 () (lambda @t181 (_ @t179 tptp.bot_bot_set_a))) % 0.85/1.06 (define @t695 () (lambda @t677 (and (_ (_ tptp.prefer1292084992ence_a @t670) @t669) (_ (_ tptp.prefer580340847ioms_a @t670) @t669)))) % 0.85/1.06 (define @t696 () (@var "Z4" tptp.a)) % 0.85/1.06 (define @t697 () (lambda (@list @t687) (forall (@list @t178 @t671 @t696) (=> @t689 (=> (_ (_ tptp.member449909584od_a_a (_ @t688 @t696)) @t687) (_ (_ tptp.member449909584od_a_a (_ @t673 @t696)) @t687)))))) % 0.85/1.06 (define @t698 () (lambda @t690 (and (_ (_ tptp.refl_on_a @t346) @t687) (_ tptp.trans_a @t687)))) % 0.85/1.06 (define @t699 () (lambda (@list @t346) (= @t346 tptp.bot_bot_set_a))) % 0.85/1.06 (define @t700 () (tptp.prefer1676310729than_a tptp.y tptp.carrier tptp.relation)) % 0.85/1.06 (define @t701 () (tptp.member_a @t178 @t15)) % 0.85/1.06 (define @t702 () (tptp.prefer1676310729than_a tptp.x tptp.carrier tptp.relation)) % 0.85/1.06 (define @t703 () (tptp.member_a @t178 @t702)) % 0.85/1.06 (define @t704 () (not @t703)) % 0.85/1.06 (define @t705 () (or @t704 @t701)) % 0.85/1.06 (define @t706 () (forall @t181 @t705)) % 0.85/1.06 (define @t707 () (tptp.member_a @t178 @t343)) % 0.85/1.06 (define @t708 () (@list @t343)) % 0.85/1.06 (define @t709 () (tptp.member_a @t178 @t17)) % 0.85/1.06 (define @t710 () (not @t709)) % 0.85/1.06 (define @t711 () (or @t710 @t707)) % 0.85/1.06 (define @t712 () (forall @t181 @t711)) % 0.85/1.06 (define @t713 () (lambda @t708 @t712)) % 0.85/1.06 (define @t714 () (tptp.member_a @t178 @t346)) % 0.85/1.06 (define @t715 () (lambda @t347 (forall @t181 (or (not @t714) @t707)))) % 0.85/1.06 (define @t716 () (_ @t715 @t17)) % 0.85/1.06 (define @t717 () (not @t682)) % 0.85/1.06 (define @t718 () (or @t717 @t681)) % 0.85/1.06 (define @t719 () (tptp.member_a @t178 @t700)) % 0.85/1.06 (define @t720 () (@quantifiers_skolemize (forall @t181 (or @t704 @t719)) 0)) % 0.85/1.06 (define @t721 () (tptp.member_a @t720 @t702)) % 0.85/1.06 (define @t722 () (tptp.member_a @t720 @t700)) % 0.85/1.06 (define @t723 () (not @t721)) % 0.85/1.06 (define @t724 () (or @t723 @t722)) % 0.85/1.06 (define @t725 () (@list true)) % 0.85/1.06 (define @t726 () (@list @t724)) % 0.85/1.06 (define @t727 () (not @t722)) % 0.85/1.06 (define @t728 () (tptp.finite_card_a @t177)) % 0.85/1.06 (define @t729 () (tptp.finite_card_a @t281)) % 0.85/1.06 (define @t730 () (tptp.ord_less_eq_nat @t729 @t728)) % 0.85/1.06 (define @t731 () (not @t427)) % 0.85/1.06 (define @t732 () (not (tptp.member_a @t178 @t177))) % 0.85/1.06 (define @t733 () (forall @t181 (or @t732 (tptp.member_a @t178 @t281)))) % 0.85/1.06 (define @t734 () (not @t733)) % 0.85/1.06 (define @t735 () (tptp.finite_finite_a @t281)) % 0.85/1.06 (define @t736 () (not @t287)) % 0.85/1.06 (define @t737 () (or @t736 @t734 @t731 @t309)) % 0.85/1.06 (define @t738 () (or @t734 @t731 @t309)) % 0.85/1.06 (define @t739 () (=> @t733 @t428)) % 0.85/1.06 (define @t740 () (lambda @t708 (forall @t181 (or @t732 @t707)))) % 0.85/1.06 (define @t741 () (_ @t715 @t177)) % 0.85/1.06 (define @t742 () (=> (_ @t741 @t281) @t428)) % 0.85/1.06 (define @t743 () (=> @t287 @t742)) % 0.85/1.06 (define @t744 () (tptp.finite_card_a @t700)) % 0.85/1.06 (define @t745 () (tptp.finite_card_a @t702)) % 0.85/1.06 (define @t746 () (tptp.ord_less_eq_nat @t745 @t744)) % 0.85/1.06 (define @t747 () (not @t746)) % 0.85/1.06 (define @t748 () (forall @t181 (or (not @t719) @t703))) % 0.85/1.06 (define @t749 () (not @t748)) % 0.85/1.06 (define @t750 () (tptp.finite_finite_a @t702)) % 0.85/1.06 (define @t751 () (not @t750)) % 0.85/1.06 (define @t752 () (or @t751 @t749 @t747 (= @t700 @t702))) % 0.85/1.06 (define @t753 () (forall @t288 (or (not @t735) @t734 (not @t730) @t309))) % 0.85/1.06 (define @t754 () (= @t702 @t700)) % 0.85/1.06 (define @t755 () (or @t751 @t749 @t747 @t754)) % 0.85/1.06 (define @t756 () (@list false)) % 0.85/1.06 (define @t757 () (tptp.prefer1676310729than_a @t32 tptp.carrier tptp.relation)) % 0.85/1.06 (define @t758 () (tptp.finite_finite_a @t757)) % 0.85/1.06 (define @t759 () (tptp.member_a @t32 tptp.carrier)) % 0.85/1.06 (define @t760 () (not @t37)) % 0.85/1.06 (define @t761 () (or @t760 @t35)) % 0.85/1.06 (define @t762 () (tptp.member_a tptp.x tptp.carrier)) % 0.85/1.06 (define @t763 () (not @t762)) % 0.85/1.06 (define @t764 () (or @t763 @t750)) % 0.85/1.06 (define @t765 () (@quantifiers_skolemize @t748 0)) % 0.85/1.06 (define @t766 () (tptp.member_a @t765 @t700)) % 0.85/1.06 (define @t767 () (tptp.member_a @t765 @t702)) % 0.85/1.06 (define @t768 () (not @t766)) % 0.85/1.06 (define @t769 () (or @t768 @t767)) % 0.85/1.06 (define @t770 () (tptp.prefer1676310729than_a @t5 tptp.carrier tptp.relation)) % 0.85/1.06 (define @t771 () (@var "BOUND_VARIABLE_10859" tptp.a)) % 0.85/1.06 (define @t772 () (tptp.member_a @t771 @t770)) % 0.85/1.06 (define @t773 () (tptp.prefer1676310729than_a @t2 tptp.carrier tptp.relation)) % 0.85/1.06 (define @t774 () (not (tptp.member_a @t771 @t773))) % 0.85/1.06 (define @t775 () (@var "BOUND_VARIABLE_10853" tptp.a)) % 0.85/1.06 (define @t776 () (tptp.member_a @t775 @t773)) % 0.85/1.06 (define @t777 () (not (tptp.member_a @t775 @t770))) % 0.85/1.06 (define @t778 () (or @t774 @t772)) % 0.85/1.06 (define @t779 () (or @t777 @t776)) % 0.85/1.06 (define @t780 () (or @t779 @t778)) % 0.85/1.06 (define @t781 () (forall (@list @t5 @t2 @t775 @t771) @t780)) % 0.85/1.06 (define @t782 () (forall (@list @t775 @t771) @t780)) % 0.85/1.06 (define @t783 () (forall (@list @t771) @t778)) % 0.85/1.06 (define @t784 () (@list @t178)) % 0.85/1.06 (define @t785 () (forall (@list @t775) @t779)) % 0.85/1.06 (define @t786 () (or @t785 @t783)) % 0.85/1.06 (define @t787 () (tptp.member_a @t178 @t770)) % 0.85/1.06 (define @t788 () (tptp.member_a @t178 @t773)) % 0.85/1.06 (define @t789 () (not @t788)) % 0.85/1.06 (define @t790 () (not @t787)) % 0.85/1.06 (define @t791 () (tptp.member_a @t178 @t9)) % 0.85/1.06 (define @t792 () (or @t789 @t791)) % 0.85/1.06 (define @t793 () (forall @t181 @t792)) % 0.85/1.06 (define @t794 () (tptp.member_a @t178 @t4)) % 0.85/1.06 (define @t795 () (not @t794)) % 0.85/1.06 (define @t796 () (or @t795 @t707)) % 0.85/1.06 (define @t797 () (forall @t181 @t796)) % 0.85/1.06 (define @t798 () (lambda @t708 @t797)) % 0.85/1.06 (define @t799 () (_ @t715 @t4)) % 0.85/1.06 (define @t800 () (or @t790 @t794)) % 0.85/1.06 (define @t801 () (forall @t181 @t800)) % 0.85/1.06 (define @t802 () (not @t791)) % 0.85/1.06 (define @t803 () (or @t802 @t707)) % 0.85/1.06 (define @t804 () (forall @t181 @t803)) % 0.85/1.06 (define @t805 () (lambda @t708 @t804)) % 0.85/1.06 (define @t806 () (_ @t715 @t9)) % 0.85/1.06 (define @t807 () (or (_ @t806 @t4) (_ @t799 @t9))) % 0.85/1.06 (define @t808 () (or @t723 @t722 @t768 @t767)) % 0.85/1.06 (define @t809 () (not @t769)) % 0.85/1.06 (define @t810 () (not @t754)) % 0.85/1.06 (define @t811 () (and @t721 @t754 @t727)) % 0.85/1.06 (assume @p1 (_ (_ tptp.member_a tptp.y) tptp.carrier)) % 0.85/1.06 (assume @p2 @t1) % 0.85/1.06 (assume @p3 (forall @t14 (=> @t13 (=> @t12 (or @t11 @t7))))) % 0.85/1.06 (assume @p4 @t19) % 0.85/1.06 (assume @p5 @t24) % 0.85/1.06 (assume @p6 (forall @t25 (=> @t13 (_ @t20 tptp.carrier)))) % 0.85/1.06 (assume @p7 (_ (_ tptp.prefer719835986ence_a tptp.carrier) tptp.relation)) % 0.85/1.06 (assume @p8 @t26) % 0.85/1.06 (assume @p9 (_ (_ tptp.prefer1292084992ence_a tptp.carrier) tptp.relation)) % 0.85/1.06 (assume @p10 (_ (_ tptp.order_preorder_on_a tptp.carrier) tptp.relation)) % 0.85/1.06 (assume @p11 (forall @t14 (=> @t26 (=> @t13 (=> @t12 (or @t27 @t27)))))) % 0.85/1.06 (assume @p12 (forall @t14 (=> @t30 @t21))) % 0.85/1.06 (assume @p13 (forall @t14 (=> @t13 (=> @t12 (=> @t21 @t30))))) % 0.85/1.06 (assume @p14 (forall @t25 (=> @t31 (=> @t13 (not (= @t4 tptp.bot_bot_set_a)))))) % 0.85/1.06 (assume @p15 (_ (_ tptp.total_on_a tptp.carrier) tptp.relation)) % 0.85/1.06 (assume @p16 @t39) % 0.85/1.06 (assume @p17 (forall @t14 (=> @t13 (=> @t12 (= (and @t11 @t7) @t43))))) % 0.85/1.06 (assume @p18 (forall @t14 (=> @t30 (_ @t6 @t9)))) % 0.85/1.06 (assume @p19 (_ (_ tptp.refl_on_a tptp.carrier) tptp.relation)) % 0.85/1.06 (assume @p20 (forall @t38 (=> @t37 (forall @t48 (=> (_ @t47 tptp.carrier) (or (_ @t46 tptp.relation) (_ @t45 tptp.relation))))))) % 0.85/1.06 (assume @p21 (forall @t14 (=> @t13 (=> @t12 (=> @t49 (or @t30 @t42)))))) % 0.85/1.06 (assume @p22 (forall @t63 (=> @t62 (=> (and @t60 (not @t58)) @t56)))) % 0.85/1.06 (assume @p23 (forall @t63 (=> @t43 (=> (and @t60 @t58) (and @t55 @t53))))) % 0.85/1.06 (assume @p24 (forall @t14 (=> @t43 @t30))) % 0.85/1.06 (assume @p25 (forall @t14 (=> @t43 @t42))) % 0.85/1.06 (assume @p26 (forall @t63 (=> @t65 (=> @t30 (=> @t60 @t55))))) % 0.85/1.06 (assume @p27 (forall @t63 (=> @t65 (=> @t62 (or @t56 (and @t58 (not @t60))))))) % 0.85/1.06 (assume @p28 (forall @t14 (=> @t30 @t13))) % 0.85/1.06 (assume @p29 (forall @t14 (=> (and @t13 @t12) (= @t61 @t62)))) % 0.85/1.06 (assume @p30 (forall @t70 (=> @t69 @t68))) % 0.85/1.06 (assume @p31 (forall @t74 (=> @t69 (=> @t73 @t71)))) % 0.85/1.06 (assume @p32 (forall @t74 (=> @t69 (=> @t73 @t72)))) % 0.85/1.06 (assume @p33 (forall (@list @t75 @t76) (=> (forall @t83 (=> @t82 (_ @t84 @t76))) (=> (forall @t83 (=> @t82 (_ @t79 @t76))) (=> (_ (_ tptp.order_359341630od_a_a @t76) @t75) @t77))))) % 0.85/1.06 (assume @p34 (forall (@list @t85 @t86) (=> (forall @t93 (=> @t92 (_ @t94 @t86))) (=> (forall @t93 (=> @t92 (_ @t89 @t86))) (=> (_ (_ tptp.order_1150839801on_nat @t86) @t85) @t87))))) % 0.85/1.06 (assume @p35 (forall (@list @t66 @t67) (=> (forall @t103 (=> @t102 (_ @t104 @t67))) (=> (forall @t103 (=> @t102 (_ @t97 @t67))) (=> @t95 @t68))))) % 0.85/1.06 (assume @p36 (forall @t70 (=> @t68 @t95))) % 0.85/1.06 (assume @p37 (forall @t112 (=> @t77 (=> @t111 @t107)))) % 0.85/1.06 (assume @p38 (forall @t121 (=> @t87 (=> @t120 @t115)))) % 0.85/1.06 (assume @p39 (forall @t74 (=> @t68 (=> @t72 @t122)))) % 0.85/1.06 (assume @p40 (forall @t70 (=> @t68 (_ (_ tptp.refl_on_a @t67) @t66)))) % 0.85/1.06 (assume @p41 (forall @t127 (=> @t68 (=> @t73 (=> (and @t126 @t125) (and @t124 @t123)))))) % 0.85/1.06 (assume @p42 (forall @t70 (=> @t69 (forall @t38 (=> @t128 (forall @t48 (=> (_ @t47 @t67) (or (_ @t46 @t66) (_ @t45 @t66))))))))) % 0.85/1.06 (assume @p43 (forall @t70 (=> @t69 @t129))) % 0.85/1.06 (assume @p44 (forall @t112 (=> @t134 (=> @t107 (=> @t133 (=> (not (= @t105 @t108)) (or @t111 @t131))))))) % 0.85/1.06 (assume @p45 (forall @t121 (=> @t140 (=> @t115 (=> @t139 (=> (not @t137) (or @t120 @t136))))))) % 0.85/1.06 (assume @p46 (forall @t74 (=> @t69 (=> @t122 (=> @t141 (=> @t49 (or @t72 @t71))))))) % 0.85/1.06 (assume @p47 (forall @t127 (=> @t69 (=> @t144 (=> (and @t126 (not @t125)) @t142))))) % 0.85/1.06 (assume @p48 (forall @t150 (=> @t134 (=> @t149 (=> @t111 (=> @t147 @t146)))))) % 0.85/1.06 (assume @p49 (forall @t156 (=> @t140 (=> @t155 (=> @t120 (=> @t153 @t152)))))) % 0.85/1.06 (assume @p50 (forall @t127 (=> @t69 (=> @t157 (=> @t72 (=> @t126 @t124)))))) % 0.85/1.06 (assume @p51 (forall @t159 (=> @t134 (=> @t158 (_ tptp.finite1664988688od_a_a @t75))))) % 0.85/1.06 (assume @p52 (forall @t161 (=> @t140 (=> @t160 (_ tptp.finite772653738at_nat @t85))))) % 0.85/1.06 (assume @p53 (forall @t70 (=> @t69 (=> @t162 (_ tptp.finite179568208od_a_a @t66))))) % 0.85/1.06 (assume @p54 (forall @t112 (=> @t134 (=> (and @t107 @t133) (= @t163 @t164))))) % 0.85/1.06 (assume @p55 (forall @t121 (=> @t140 (=> (and @t115 @t139) (= @t165 @t166))))) % 0.85/1.06 (assume @p56 (forall @t74 (=> @t69 (=> (and @t122 @t141) (= @t143 @t144))))) % 0.85/1.06 (assume @p57 (forall (@list @t167 @t168) (= (_ @t170 @t169) (_ @t168 @t167)))) % 0.85/1.06 (assume @p58 (forall (@list @t171 @t172) (= (_ @t173 (_ tptp.collec645855634od_a_a @t172)) (_ @t172 @t171)))) % 0.85/1.06 (assume @p59 (forall (@list @t174 @t175) (= (_ @t176 (_ tptp.collect_nat @t175)) (_ @t175 @t174)))) % 0.85/1.06 (assume @p60 (forall @t182 (= (_ tptp.collect_a (lambda @t181 @t180)) @t177))) % 0.85/1.06 (assume @p61 (forall @t188 (= (_ tptp.collec645855634od_a_a (lambda @t187 @t186)) @t183))) % 0.85/1.06 (assume @p62 (forall @t194 (= (_ tptp.collect_nat (lambda @t193 @t192)) @t189))) % 0.85/1.06 (assume @p63 (forall @t150 (=> @t134 (=> @t149 (=> @t164 (or (and @t146 (not (_ (_ tptp.member2057358096od_a_a (_ @t195 @t105)) @t75))) (and @t197 (not @t147)))))))) % 0.85/1.06 (assume @p64 (forall @t156 (=> @t140 (=> @t155 (=> @t166 (or (and @t152 (not (_ (_ tptp.member701585322at_nat (_ @t198 @t113)) @t85))) (and @t200 (not @t153)))))))) % 0.85/1.06 (assume @p65 (forall @t127 (=> @t69 (=> @t157 (=> @t144 (or @t142 (and @t125 (not @t126)))))))) % 0.85/1.06 (assume @p66 (forall @t112 (=> @t134 (=> @t111 (_ @t132 @t201))))) % 0.85/1.06 (assume @p67 (forall @t121 (=> @t140 (=> @t120 (_ @t138 @t202))))) % 0.85/1.06 (assume @p68 (forall @t74 (=> @t69 (=> @t72 (_ @t6 @t203))))) % 0.85/1.06 (assume @p69 (forall @t112 (=> @t134 (=> @t107 (=> @t133 (= (and @t207 @t206) @t204)))))) % 0.85/1.06 (assume @p70 (forall @t121 (=> @t140 (=> @t115 (=> @t139 (= (and @t211 @t210) @t208)))))) % 0.85/1.06 (assume @p71 (forall @t74 (=> @t69 (=> @t122 (=> @t141 (= (and @t214 @t213) @t73)))))) % 0.85/1.06 (assume @p72 (forall @t159 (=> @t134 (=> @t158 (forall @t217 (=> (_ @t216 @t76) (_ tptp.finite179568208od_a_a (_ (_ (_ tptp.prefer1498087410od_a_a @t215) @t76) @t75)))))))) % 0.85/1.06 (assume @p73 (forall @t161 (=> @t140 (=> @t160 (forall @t220 (=> (_ @t219 @t86) (_ tptp.finite_finite_nat (_ (_ (_ tptp.prefer1672638789an_nat @t218) @t86) @t85)))))))) % 0.85/1.06 (assume @p74 (forall @t70 (=> @t69 (=> @t162 (forall @t38 (=> @t128 (_ tptp.finite_finite_a (_ (_ @t33 @t67) @t66)))))))) % 0.85/1.06 (assume @p75 (forall @t222 (=> @t134 (=> @t221 (=> @t107 (not (= @t205 tptp.bot_bo2131659635od_a_a))))))) % 0.85/1.06 (assume @p76 (forall @t224 (=> @t140 (=> @t223 (=> @t115 (not (= @t209 tptp.bot_bot_set_nat))))))) % 0.85/1.06 (assume @p77 (forall @t226 (=> @t69 (=> @t225 (=> @t122 (not (= @t212 tptp.bot_bot_set_a))))))) % 0.85/1.06 (assume @p78 (forall @t112 (=> @t134 (=> @t107 (=> @t133 (=> (_ (_ tptp.ord_le1824328871od_a_a @t201) @t205) @t111)))))) % 0.85/1.06 (assume @p79 (forall @t121 (=> @t140 (=> @t115 (=> @t139 (=> (_ (_ tptp.ord_less_eq_set_nat @t202) @t209) @t120)))))) % 0.85/1.06 (assume @p80 (forall @t74 (=> @t69 (=> @t122 (=> @t141 (=> @t227 @t72)))))) % 0.85/1.06 (assume @p81 (forall @t74 (=> @t69 (=> @t72 @t227)))) % 0.85/1.06 (assume @p82 (forall @t112 (=> @t134 (=> @t158 (=> @t107 (=> @t133 (or @t229 @t229))))))) % 0.85/1.06 (assume @p83 (forall @t121 (=> @t140 (=> @t160 (=> @t115 (=> @t139 (or @t231 @t231))))))) % 0.85/1.06 (assume @p84 (forall @t74 (=> @t69 (=> @t162 (=> @t122 (=> @t141 (or @t233 @t233))))))) % 0.85/1.06 (assume @p85 (forall @t112 (=> @t134 (=> @t107 (=> @t133 (or @t207 @t206)))))) % 0.85/1.06 (assume @p86 (forall @t121 (=> @t140 (=> @t115 (=> @t139 (or @t211 @t210)))))) % 0.85/1.06 (assume @p87 (forall @t74 (=> @t69 (=> @t122 (=> @t141 (or @t214 @t213)))))) % 0.85/1.06 (assume @p88 (forall @t222 (=> @t134 (=> @t107 (_ @t228 @t76))))) % 0.85/1.06 (assume @p89 (forall @t224 (=> @t140 (=> @t115 (_ @t230 @t86))))) % 0.85/1.06 (assume @p90 (forall @t226 (=> @t69 (=> @t122 (_ @t232 @t67))))) % 0.85/1.06 (assume @p91 (forall (@list @t67 @t66 @t5 @t2) (=> @t69 (or @t227 (_ @t232 @t203))))) % 0.85/1.06 (assume @p92 (forall @t14 (=> @t31 (=> @t13 (=> @t12 (=> (not @t236) (not @t30))))))) % 0.85/1.06 (assume @p93 (forall @t239 (=> @t238 (= (_ (_ @t237 tptp.carrier) tptp.relation) @t235)))) % 0.85/1.06 (assume @p94 (forall @t14 (=> @t30 @t236))) % 0.85/1.06 (assume @p95 (forall @t182 (_ @t240 @t177))) % 0.85/1.06 (assume @p96 (forall @t182 (= @t243 @t241))) % 0.85/1.06 (assume @p97 (forall (@list @t249 @t245 @t248 @t244) (= (_ (_ tptp.ord_le486764743_set_a (_ (_ tptp.produc1928581911_set_a @t249) @t245)) (_ (_ tptp.produc1928581911_set_a @t248) @t244)) (and @t251 @t247)))) % 0.85/1.06 (assume @p98 (forall (@list @t249 @t253 @t248 @t252) (= (_ (_ tptp.ord_le781360189_a_nat (_ (_ tptp.produc515611863_a_nat @t249) @t253)) (_ (_ tptp.produc515611863_a_nat @t248) @t252)) (and @t251 @t255)))) % 0.85/1.06 (assume @p99 (forall (@list @t174 @t245 @t256 @t244) (= (_ (_ tptp.ord_le841160035_set_a (_ (_ tptp.produc1450889781_set_a @t174) @t245)) (_ (_ tptp.produc1450889781_set_a @t256) @t244)) (and @t258 @t247)))) % 0.85/1.06 (assume @p100 (forall (@list @t174 @t253 @t256 @t252) (= (_ (_ tptp.ord_le1302190241at_nat @t260) (_ (_ tptp.product_Pair_nat_nat @t256) @t252)) (and @t258 @t255)))) % 0.85/1.06 (assume @p101 (forall @t239 (= (_ @t64 @t262) @t238))) % 0.85/1.06 (assume @p102 (forall @t14 (= (_ @t10 @t262) @t43))) % 0.85/1.06 (assume @p103 (=> @t26 (_ tptp.finite179568208od_a_a tptp.relation))) % 0.85/1.06 (assume @p104 (forall @t271 (=> @t270 (=> @t269 @t267)))) % 0.85/1.06 (assume @p105 (forall @t280 (=> @t279 (=> @t278 @t276)))) % 0.85/1.06 (assume @p106 (forall @t288 (=> @t287 (=> @t286 @t285)))) % 0.85/1.06 (assume @p107 (forall @t291 (= (= tptp.bot_bot_set_a @t169) @t290))) % 0.85/1.06 (assume @p108 (forall @t291 (= @t292 @t290))) % 0.85/1.06 (assume @p109 (forall @t188 (= (forall @t187 (not @t186)) @t293))) % 0.85/1.06 (assume @p110 (forall @t194 (= (forall @t193 (not @t192)) @t294))) % 0.85/1.06 (assume @p111 (forall @t182 (= (forall @t181 (not @t180)) @t241))) % 0.85/1.06 (assume @p112 (forall (@list @t295) (not (_ @t296 tptp.bot_bo2131659635od_a_a)))) % 0.85/1.06 (assume @p113 (forall (@list @t256) (not (_ @t297 tptp.bot_bot_set_nat)))) % 0.85/1.06 (assume @p114 (forall (@list @t298) (not (_ @t299 tptp.bot_bot_set_a)))) % 0.85/1.06 (assume @p115 (forall @t302 (=> (forall @t301 (=> @t300 (_ @t84 @t263))) @t269))) % 0.85/1.06 (assume @p116 (forall @t305 (=> (forall @t304 (=> @t303 (_ @t94 @t272))) @t278))) % 0.85/1.06 (assume @p117 (forall @t308 (=> (forall @t307 (=> @t306 (_ @t104 @t281))) @t286))) % 0.85/1.06 (assume @p118 (forall @t308 (=> @t286 (=> @t311 @t309)))) % 0.85/1.06 (assume @p119 (forall (@list @t145 @t108 @t263 @t312) (=> (_ @t148 @t314) (_ @t196 @t312)))) % 0.85/1.06 (assume @p120 (forall (@list @t151 @t116 @t272 @t315) (=> (_ @t154 @t317) (_ @t199 @t315)))) % 0.85/1.06 (assume @p121 (forall (@list @t50 @t5 @t281 @t318) (=> (_ @t64 @t319) (_ @t57 @t318)))) % 0.85/1.06 (assume @p122 (forall (@list @t105 @t108 @t263 @t312) (=> (_ @t106 @t314) (_ @t110 @t312)))) % 0.85/1.06 (assume @p123 (forall (@list @t113 @t116 @t272 @t315) (=> (_ @t114 @t317) (_ @t119 @t315)))) % 0.85/1.06 (assume @p124 (forall (@list @t2 @t5 @t281 @t318) (=> (_ @t10 @t319) (_ @t29 @t318)))) % 0.85/1.06 (assume @p125 (forall @t188 (= (exists @t187 @t186) (not @t293)))) % 0.85/1.06 (assume @p126 (forall @t194 (= (exists @t193 @t192) @t320))) % 0.85/1.06 (assume @p127 (forall @t182 (= (exists @t181 @t180) (not @t241)))) % 0.85/1.06 (assume @p128 (forall @t188 (=> (forall (@list @t78) (not @t321)) @t293))) % 0.85/1.06 (assume @p129 (forall @t194 (=> (forall @t323 (not @t322)) @t294))) % 0.85/1.06 (assume @p130 (forall @t182 (=> (forall (@list @t96) (not @t324)) @t241))) % 0.85/1.06 (assume @p131 (forall (@list @t183 @t171) (=> @t293 (not @t325)))) % 0.85/1.06 (assume @p132 (forall @t327 (=> @t294 (not @t326)))) % 0.85/1.06 (assume @p133 (forall (@list @t177 @t167) (=> @t241 (not @t328)))) % 0.85/1.06 (assume @p134 (forall (@list @t171) (not (_ @t173 tptp.bot_bo2131659635od_a_a)))) % 0.85/1.06 (assume @p135 (forall @t329 (not (_ @t176 tptp.bot_bot_set_nat)))) % 0.85/1.06 (assume @p136 (forall (@list @t167) (not (_ @t170 tptp.bot_bot_set_a)))) % 0.85/1.06 (assume @p137 (forall (@list @t183 @t263 @t105) (=> @t269 (=> @t330 (_ @t106 @t263))))) % 0.85/1.06 (assume @p138 (forall (@list @t189 @t272 @t113) (=> @t278 (=> @t331 (_ @t114 @t272))))) % 0.85/1.06 (assume @p139 (forall (@list @t177 @t281 @t2) (=> @t286 (=> @t332 (_ @t10 @t281))))) % 0.85/1.06 (assume @p140 (forall (@list @t183 @t263 @t295) (=> @t269 (=> (_ @t296 @t183) (_ @t296 @t263))))) % 0.85/1.06 (assume @p141 (forall (@list @t189 @t272 @t256) (=> @t278 (=> (_ @t297 @t189) (_ @t297 @t272))))) % 0.85/1.06 (assume @p142 (forall (@list @t177 @t281 @t298) (=> @t286 (=> (_ @t299 @t177) (_ @t299 @t281))))) % 0.85/1.06 (assume @p143 (forall @t308 (=> @t309 (not (=> @t286 (not @t311)))))) % 0.85/1.06 (assume @p144 (forall @t308 (=> @t309 @t286))) % 0.85/1.06 (assume @p145 (forall @t308 (=> @t309 @t311))) % 0.85/1.06 (assume @p146 (= tptp.ord_le1824328871od_a_a (lambda @t337 (forall (@list @t334) (=> (_ @t335 @t336) (_ @t335 @t333)))))) % 0.85/1.06 (assume @p147 (= tptp.ord_less_eq_set_nat (lambda @t342 (forall (@list @t339) (=> (_ @t340 @t341) (_ @t340 @t338)))))) % 0.85/1.06 (assume @p148 (= tptp.ord_less_eq_set_a (lambda @t347 (forall (@list @t344) (=> (_ @t345 @t346) (_ @t345 @t343)))))) % 0.85/1.06 (assume @p149 (forall @t182 (_ @t242 @t177))) % 0.85/1.06 (assume @p150 (forall @t350 (=> (forall @t307 (=> (_ @t168 @t98) (_ @t348 @t98))) @t349))) % 0.85/1.06 (assume @p151 (forall (@list @t177 @t281 @t351) (=> @t286 (=> (_ @t310 @t351) (_ @t242 @t351))))) % 0.85/1.06 (assume @p152 (= @t354 (lambda @t347 (and (_ (_ tptp.ord_less_eq_set_a @t346) @t343) (_ (_ tptp.ord_less_eq_set_a @t343) @t346))))) % 0.85/1.06 (assume @p153 (forall @t350 (= @t349 (forall @t181 (=> @t289 (_ @t348 @t178)))))) % 0.85/1.06 (assume @p154 (forall @t357 (=> @t69 (=> @t356 (= (_ (_ @t237 @t67) @t66) @t355))))) % 0.85/1.06 (assume @p155 (forall @t112 (=> @t134 (=> @t111 @t358)))) % 0.85/1.06 (assume @p156 (forall @t121 (=> @t140 (=> @t120 @t359)))) % 0.85/1.06 (assume @p157 (forall @t74 (=> @t69 (=> @t72 @t360)))) % 0.85/1.06 (assume @p158 (forall (@list @t76 @t75 @t145 @t108) (=> @t134 (= (_ @t148 @t361) (and @t197 @t147))))) % 0.85/1.06 (assume @p159 (forall (@list @t86 @t85 @t151 @t116) (=> @t140 (= (_ @t154 @t362) (and @t200 @t153))))) % 0.85/1.06 (assume @p160 (forall @t357 (=> @t69 (= (_ @t64 @t363) @t356)))) % 0.85/1.06 (assume @p161 (forall @t112 (=> @t134 (= (_ @t106 @t361) @t204)))) % 0.85/1.06 (assume @p162 (forall @t121 (=> @t140 (= (_ @t114 @t362) @t208)))) % 0.85/1.06 (assume @p163 (forall @t74 (=> @t69 (= (_ @t10 @t363) @t73)))) % 0.85/1.06 (assume @p164 (forall @t112 (=> @t134 (=> @t221 (=> @t107 (=> @t133 (=> (not @t358) (not @t111)))))))) % 0.85/1.06 (assume @p165 (forall @t121 (=> @t140 (=> @t223 (=> @t115 (=> @t139 (=> (not @t359) (not @t120)))))))) % 0.85/1.06 (assume @p166 (forall @t74 (=> @t69 (=> @t225 (=> @t122 (=> @t141 (=> (not @t360) (not @t72)))))))) % 0.85/1.06 (assume @p167 (forall (@list @t367 @t365 @t366 @t364) (=> @t371 (=> @t369 (_ (_ tptp.ord_le486764743_set_a (_ (_ tptp.produc1928581911_set_a @t367) @t366)) (_ (_ tptp.produc1928581911_set_a @t365) @t364)))))) % 0.85/1.06 (assume @p168 (forall (@list @t367 @t365 @t116 @t372) (=> @t371 (=> @t374 (_ (_ tptp.ord_le781360189_a_nat (_ (_ tptp.produc515611863_a_nat @t367) @t116)) (_ (_ tptp.produc515611863_a_nat @t365) @t372)))))) % 0.85/1.06 (assume @p169 (forall (@list @t113 @t375 @t366 @t364) (=> @t377 (=> @t369 (_ (_ tptp.ord_le841160035_set_a (_ (_ tptp.produc1450889781_set_a @t113) @t366)) (_ (_ tptp.produc1450889781_set_a @t375) @t364)))))) % 0.85/1.06 (assume @p170 (forall (@list @t113 @t375 @t116 @t372) (=> @t377 (=> @t374 (_ (_ tptp.ord_le1302190241at_nat @t118) (_ (_ tptp.product_Pair_nat_nat @t375) @t372)))))) % 0.85/1.06 (assume @p171 (forall @t390 (=> @t389 (=> @t388 (exists @t387 (and @t386 (_ @t250 @t379) @t385)))))) % 0.85/1.06 (assume @p172 (forall @t327 (=> @t397 (=> @t326 (exists @t304 (and @t303 (_ @t257 @t90) @t396)))))) % 0.85/1.06 (assume @p173 (forall @t390 (=> @t389 (=> @t388 (exists @t387 (and @t386 (_ @t381 @t249) @t398)))))) % 0.85/1.06 (assume @p174 (forall @t327 (=> @t397 (=> @t326 (exists @t304 (and @t303 (_ @t393 @t174) @t399)))))) % 0.85/1.06 (assume @p175 (= tptp.bot_bo1519632275_set_a (_ (_ tptp.produc1928581911_set_a tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 0.85/1.06 (assume @p176 (forall (@list @t400) (=> @t401 (not (= @t400 tptp.bot_bo2131659635od_a_a))))) % 0.85/1.06 (assume @p177 (forall @t404 (=> @t403 (not (= @t402 tptp.bot_bot_set_nat))))) % 0.85/1.06 (assume @p178 (forall (@list @t405) (=> @t406 (not (= @t405 tptp.bot_bot_set_a))))) % 0.85/1.06 (assume @p179 (_ tptp.finite179568208od_a_a tptp.bot_bo2131659635od_a_a)) % 0.85/1.06 (assume @p180 (_ tptp.finite_finite_nat tptp.bot_bot_set_nat)) % 0.85/1.06 (assume @p181 (_ tptp.finite_finite_a tptp.bot_bot_set_a)) % 0.85/1.06 (assume @p182 (forall @t302 (=> @t269 (=> @t270 @t407)))) % 0.85/1.06 (assume @p183 (forall @t305 (=> @t278 (=> @t279 @t397)))) % 0.85/1.06 (assume @p184 (forall @t308 (=> @t286 (=> @t287 @t408)))) % 0.85/1.06 (assume @p185 (forall (@list @t400 @t409) (=> (_ (_ tptp.ord_le1824328871od_a_a @t400) @t409) (=> @t401 (not (_ tptp.finite179568208od_a_a @t409)))))) % 0.85/1.06 (assume @p186 (forall (@list @t402 @t410) (=> (_ (_ tptp.ord_less_eq_set_nat @t402) @t410) (=> @t403 (not (_ tptp.finite_finite_nat @t410)))))) % 0.85/1.06 (assume @p187 (forall (@list @t405 @t411) (=> (_ (_ tptp.ord_less_eq_set_a @t405) @t411) (=> @t406 (not (_ tptp.finite_finite_a @t411)))))) % 0.85/1.06 (assume @p188 (forall @t271 (=> @t270 (=> @t269 @t407)))) % 0.85/1.06 (assume @p189 (forall @t280 (=> @t279 (=> @t278 @t397)))) % 0.85/1.06 (assume @p190 (forall @t288 (=> @t287 (=> @t286 @t408)))) % 0.85/1.06 (assume @p191 (forall @t413 (=> @t389 (=> @t412 (exists @t387 (and @t386 @t398)))))) % 0.85/1.06 (assume @p192 (forall @t194 (=> @t397 (=> @t320 (exists @t304 (and @t303 @t399)))))) % 0.85/1.06 (assume @p193 (forall @t413 (=> @t389 (=> @t412 (exists @t387 (and @t386 @t385)))))) % 0.85/1.06 (assume @p194 (forall @t194 (=> @t397 (=> @t320 (exists @t304 (and @t303 @t396)))))) % 0.85/1.06 (assume @p195 (forall @t271 (=> @t270 (=> @t269 (=> (= @t265 @t264) @t414))))) % 0.85/1.06 (assume @p196 (forall @t280 (=> @t279 (=> @t278 (=> (= @t274 @t273) @t415))))) % 0.85/1.06 (assume @p197 (forall @t288 (=> @t287 (=> @t286 (=> (= @t283 @t282) @t309))))) % 0.85/1.06 (assume @p198 (forall (@list @t183 @t417) (=> (not @t407) (exists (@list @t416) (and (_ tptp.finite179568208od_a_a @t416) (= (_ tptp.finite1481642319od_a_a @t416) @t417) (_ (_ tptp.ord_le1824328871od_a_a @t416) @t183)))))) % 0.85/1.06 (assume @p199 (forall (@list @t189 @t417) (=> (not @t397) (exists (@list @t418) (and (_ tptp.finite_finite_nat @t418) (= (_ tptp.finite_card_nat @t418) @t417) (_ (_ tptp.ord_less_eq_set_nat @t418) @t189)))))) % 0.85/1.06 (assume @p200 (forall (@list @t177 @t417) (=> (not @t408) (exists (@list @t419) (and (_ tptp.finite_finite_a @t419) (= (_ tptp.finite_card_a @t419) @t417) (_ (_ tptp.ord_less_eq_set_a @t419) @t177)))))) % 0.85/1.06 (assume @p201 (forall (@list @t421 @t420) (=> (forall (@list @t422) (=> (_ (_ tptp.ord_le1824328871od_a_a @t422) @t421) (=> (_ tptp.finite179568208od_a_a @t422) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite1481642319od_a_a @t422)) @t420)))) (and (_ tptp.finite179568208od_a_a @t421) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite1481642319od_a_a @t421)) @t420))))) % 0.85/1.06 (assume @p202 (forall (@list @t423 @t420) (=> (forall (@list @t424) (=> (_ (_ tptp.ord_less_eq_set_nat @t424) @t423) (=> (_ tptp.finite_finite_nat @t424) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t424)) @t420)))) (and (_ tptp.finite_finite_nat @t423) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t423)) @t420))))) % 0.85/1.06 (assume @p203 (forall (@list @t425 @t420) (=> (forall (@list @t426) (=> (_ (_ tptp.ord_less_eq_set_a @t426) @t425) (=> (_ tptp.finite_finite_a @t426) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t426)) @t420)))) (and (_ tptp.finite_finite_a @t425) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t425)) @t420))))) % 0.85/1.06 (assume @p204 (forall @t271 (=> @t270 (=> @t269 (=> (_ (_ tptp.ord_less_eq_nat @t264) @t265) @t414))))) % 0.85/1.06 (assume @p205 (forall @t280 (=> @t279 (=> @t278 (=> (_ (_ tptp.ord_less_eq_nat @t273) @t274) @t415))))) % 0.85/1.06 (assume @p206 @t431) % 0.85/1.06 (assume @p207 (forall (@list @t417 @t400) (=> (_ @t433 (_ tptp.finite1481642319od_a_a @t400)) (not (forall (@list @t432) (=> (_ (_ tptp.ord_le1824328871od_a_a @t432) @t400) (=> (= (_ tptp.finite1481642319od_a_a @t432) @t417) (not (_ tptp.finite179568208od_a_a @t432))))))))) % 0.85/1.06 (assume @p208 (forall (@list @t417 @t402) (=> (_ @t433 (_ tptp.finite_card_nat @t402)) (not (forall (@list @t434) (=> (_ (_ tptp.ord_less_eq_set_nat @t434) @t402) (=> (= (_ tptp.finite_card_nat @t434) @t417) (not (_ tptp.finite_finite_nat @t434))))))))) % 0.85/1.06 (assume @p209 (forall (@list @t417 @t405) (=> (_ @t433 (_ tptp.finite_card_a @t405)) (not (forall (@list @t435) (=> (_ (_ tptp.ord_less_eq_set_a @t435) @t405) (=> (= (_ tptp.finite_card_a @t435) @t417) (not (_ tptp.finite_finite_a @t435))))))))) % 0.85/1.06 (assume @p210 (forall (@list @t281 @t183 @t440) (=> @t287 (=> (forall @t449 (=> @t448 (exists @t447 (and @t446 (_ (_ @t440 @t445) @t444))))) (=> (forall (@list @t437 @t436 @t439) (=> @t443 (=> @t442 (=> @t441 (=> (_ (_ @t440 @t437) @t439) (=> (_ (_ @t440 @t436) @t439) @t438)))))) (_ @t266 @t282)))))) % 0.85/1.06 (assume @p211 (forall (@list @t281 @t189 @t453) (=> @t287 (=> (forall @t458 (=> @t457 (exists @t447 (and @t446 (_ (_ @t453 @t456) @t444))))) (=> (forall (@list @t451 @t450 @t439) (=> @t455 (=> @t454 (=> @t441 (=> (_ (_ @t453 @t451) @t439) (=> (_ (_ @t453 @t450) @t439) @t452)))))) (_ @t275 @t282)))))) % 0.85/1.06 (assume @p212 (forall (@list @t281 @t177 @t462) (=> @t287 (=> (forall @t467 (=> @t466 (exists @t447 (and @t446 (_ (_ @t462 @t465) @t444))))) (=> (forall (@list @t460 @t459 @t439) (=> @t464 (=> @t463 (=> @t441 (=> (_ (_ @t462 @t460) @t439) (=> (_ (_ @t462 @t459) @t439) @t461)))))) @t285))))) % 0.85/1.06 (assume @p213 (forall (@list @t263 @t183 @t469) (=> @t270 (=> (forall @t449 (=> @t448 (exists @t473 (and @t472 (_ (_ @t469 @t445) @t471))))) (=> (forall (@list @t437 @t436 @t468) (=> @t443 (=> @t442 (=> @t470 (=> (_ (_ @t469 @t437) @t468) (=> (_ (_ @t469 @t436) @t468) @t438)))))) @t267))))) % 0.85/1.06 (assume @p214 (forall (@list @t263 @t189 @t474) (=> @t270 (=> (forall @t458 (=> @t457 (exists @t473 (and @t472 (_ (_ @t474 @t456) @t471))))) (=> (forall (@list @t451 @t450 @t468) (=> @t455 (=> @t454 (=> @t470 (=> (_ (_ @t474 @t451) @t468) (=> (_ (_ @t474 @t450) @t468) @t452)))))) (_ @t275 @t264)))))) % 0.85/1.06 (assume @p215 (forall (@list @t263 @t177 @t475) (=> @t270 (=> (forall @t467 (=> @t466 (exists @t473 (and @t472 (_ (_ @t475 @t465) @t471))))) (=> (forall (@list @t460 @t459 @t468) (=> @t464 (=> @t463 (=> @t470 (=> (_ (_ @t475 @t460) @t468) (=> (_ (_ @t475 @t459) @t468) @t461)))))) (_ @t284 @t264)))))) % 0.85/1.06 (assume @p216 (forall (@list @t272 @t183 @t477) (=> @t279 (=> (forall @t449 (=> @t448 (exists @t481 (and @t480 (_ (_ @t477 @t445) @t479))))) (=> (forall (@list @t437 @t436 @t476) (=> @t443 (=> @t442 (=> @t478 (=> (_ (_ @t477 @t437) @t476) (=> (_ (_ @t477 @t436) @t476) @t438)))))) (_ @t266 @t273)))))) % 0.85/1.06 (assume @p217 (forall (@list @t272 @t189 @t482) (=> @t279 (=> (forall @t458 (=> @t457 (exists @t481 (and @t480 (_ (_ @t482 @t456) @t479))))) (=> (forall (@list @t451 @t450 @t476) (=> @t455 (=> @t454 (=> @t478 (=> (_ (_ @t482 @t451) @t476) (=> (_ (_ @t482 @t450) @t476) @t452)))))) @t276))))) % 0.85/1.06 (assume @p218 (forall (@list @t272 @t177 @t483) (=> @t279 (=> (forall @t467 (=> @t466 (exists @t481 (and @t480 (_ (_ @t483 @t465) @t479))))) (=> (forall (@list @t460 @t459 @t476) (=> @t464 (=> @t463 (=> @t478 (=> (_ (_ @t483 @t460) @t476) (=> (_ (_ @t483 @t459) @t476) @t461)))))) (_ @t284 @t273)))))) % 0.85/1.06 (assume @p219 (forall (@list @t417 @t177) (=> (_ @t433 @t283) (exists (@list @t484) (and (_ (_ tptp.ord_less_eq_set_a @t484) @t177) (= (_ tptp.finite_card_a @t484) @t417)))))) % 0.85/1.06 (assume @p220 (forall @t493 (= @t492 (and @t489 @t487)))) % 0.85/1.06 (assume @p221 (forall (@list @t497 @t495 @t496 @t494) (= (= (_ (_ tptp.product_Pair_a_a @t497) @t495) (_ (_ tptp.product_Pair_a_a @t496) @t494)) (and (= @t497 @t496) (= @t495 @t494))))) % 0.85/1.06 (assume @p222 (forall (@list @t367) (_ @t370 @t367))) % 0.85/1.06 (assume @p223 (forall (@list @t113) (_ @t376 @t113))) % 0.85/1.06 (assume @p224 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.85/1.06 (assume @p225 (forall (@list @t245 @t249) (=> @t500 (=> @t499 @t498)))) % 0.85/1.06 (assume @p226 (forall (@list @t253 @t174) (=> @t503 (=> @t502 @t501)))) % 0.85/1.06 (assume @p227 (= @t354 (lambda @t508 (and @t507 @t506)))) % 0.85/1.06 (assume @p228 (= @t516 (lambda @t513 (and @t512 @t511)))) % 0.85/1.06 (assume @p229 (forall (@list @t245 @t249 @t248) (=> @t500 (=> (_ @t517 @t245) (_ @t517 @t249))))) % 0.85/1.06 (assume @p230 (forall (@list @t253 @t174 @t256) (=> @t503 (=> (_ @t518 @t253) (_ @t518 @t174))))) % 0.85/1.06 (assume @p231 (forall (@list @t519 @t174 @t253) (=> (forall @t521 (=> (_ (_ tptp.ord_less_eq_nat @t456) @t476) @t520)) (=> (forall @t521 (=> (_ (_ @t519 @t476) @t456) @t520)) (_ (_ @t519 @t174) @t253))))) % 0.85/1.06 (assume @p232 (forall @t522 (_ @t250 @t249))) % 0.85/1.06 (assume @p233 (forall @t329 (_ @t257 @t174))) % 0.85/1.06 (assume @p234 (forall (@list @t367 @t366 @t523) (=> @t524 (=> (_ @t368 @t523) (_ @t370 @t523))))) % 0.85/1.06 (assume @p235 (forall @t528 (=> @t527 (=> @t526 @t525)))) % 0.85/1.06 (assume @p236 (forall (@list @t249 @t245) (=> @t499 (=> @t500 @t498)))) % 0.85/1.06 (assume @p237 (forall (@list @t174 @t253) (=> @t502 (=> @t503 @t501)))) % 0.85/1.06 (assume @p238 (forall @t529 (=> @t499 (=> (= @t245 @t248) @t251)))) % 0.85/1.06 (assume @p239 (forall @t530 (=> @t502 (=> (= @t253 @t256) @t258)))) % 0.85/1.06 (assume @p240 (forall @t529 (=> @t498 @t532))) % 0.85/1.06 (assume @p241 (forall @t530 (=> @t501 @t534))) % 0.85/1.06 (assume @p242 (= @t354 (lambda @t508 (and @t506 @t507)))) % 0.85/1.06 (assume @p243 (= @t516 (lambda @t513 (and @t511 @t512)))) % 0.85/1.06 (assume @p244 (forall (@list @t366 @t367) (=> @t536 (= @t524 @t535)))) % 0.85/1.06 (assume @p245 (forall (@list @t116 @t113) (=> @t537 (= @t527 @t137)))) % 0.85/1.06 (assume @p246 (forall @t528 (=> (=> @t527 (not @t526)) (=> (=> @t537 (not @t525)) (=> (=> @t525 (not @t541)) (=> (=> @t541 (not @t537)) (=> (=> @t526 (not @t540)) (not (=> @t540 @t538))))))))) % 0.85/1.06 (assume @p247 (forall @t529 (=> @t499 @t532))) % 0.85/1.06 (assume @p248 (forall @t530 (=> @t502 @t534))) % 0.85/1.06 (assume @p249 (forall @t542 (=> @t538 @t537))) % 0.85/1.06 (assume @p250 (forall @t543 (=> @t535 @t524))) % 0.85/1.06 (assume @p251 (forall @t542 (=> @t137 @t527))) % 0.85/1.06 (assume @p252 (forall @t542 (or @t527 @t537))) % 0.85/1.06 (assume @p253 (forall @t543 (=> @t524 (=> @t536 @t535)))) % 0.85/1.06 (assume @p254 (forall @t542 (=> @t527 (=> @t537 @t137)))) % 0.85/1.06 (assume @p255 (= @t354 (lambda (@list @t544 @t545) (and (_ (_ tptp.ord_less_eq_set_a @t544) @t545) (_ (_ tptp.ord_less_eq_set_a @t545) @t544))))) % 0.85/1.06 (assume @p256 (= @t516 (lambda @t548 (and (_ @t547 @t546) (_ (_ tptp.ord_less_eq_nat @t546) @t190))))) % 0.85/1.06 (assume @p257 (forall @t556 (=> @t499 (=> (= @t555 @t248) @t554)))) % 0.85/1.06 (assume @p258 (forall @t561 (=> @t499 (=> (= @t560 @t256) @t559)))) % 0.85/1.06 (assume @p259 (forall @t567 (=> @t502 (=> (= @t566 @t248) @t565)))) % 0.85/1.06 (assume @p260 (forall @t572 (=> @t502 (=> (= @t571 @t256) @t570)))) % 0.85/1.06 (assume @p261 (forall @t574 (=> (= @t249 @t555) @t573))) % 0.85/1.06 (assume @p262 (forall @t576 (=> (= @t174 @t560) @t575))) % 0.85/1.06 (assume @p263 (forall @t578 (=> (= @t249 @t566) @t577))) % 0.85/1.06 (assume @p264 (forall @t580 (=> (= @t174 @t571) @t579))) % 0.85/1.06 (assume @p265 (forall @t556 (=> @t499 (=> (_ (_ tptp.ord_less_eq_set_a @t555) @t248) @t554)))) % 0.85/1.06 (assume @p266 (forall @t561 (=> @t499 (=> (_ (_ tptp.ord_less_eq_nat @t560) @t256) @t559)))) % 0.85/1.06 (assume @p267 (forall @t567 (=> @t502 (=> (_ (_ tptp.ord_less_eq_set_a @t566) @t248) @t565)))) % 0.85/1.06 (assume @p268 (forall @t572 (=> @t502 (=> (_ (_ tptp.ord_less_eq_nat @t571) @t256) @t570)))) % 0.85/1.06 (assume @p269 (forall @t574 (=> (_ @t250 @t555) @t573))) % 0.85/1.06 (assume @p270 (forall @t578 (=> (_ @t250 @t566) @t577))) % 0.85/1.06 (assume @p271 (forall @t576 (=> (_ @t257 @t560) @t575))) % 0.85/1.06 (assume @p272 (forall @t580 (=> (_ @t257 @t571) @t579))) % 0.85/1.06 (assume @p273 (forall (@list @t581) (exists @t103 (= @t581 @t100)))) % 0.85/1.06 (assume @p274 (forall (@list @t172 @t581) (=> @t584 (_ @t172 @t581)))) % 0.85/1.06 (assume @p275 (forall @t493 (=> @t492 (not (=> @t489 (not @t487)))))) % 0.85/1.06 (assume @p276 (forall (@list @t108) (not (forall @t583 (not (= @t108 @t582)))))) % 0.85/1.06 (assume @p277 (forall (@list @t172 @t585) (=> @t584 (_ @t172 @t585)))) % 0.85/1.06 (assume @p278 (forall (@list @t175 @t113 @t588) (=> (_ @t175 @t113) (=> (forall @t304 (=> @t589 (_ @t393 @t588))) (not (forall @t587 (=> (_ @t175 @t586) (not (forall @t220 (=> (_ @t175 @t218) (_ (_ tptp.ord_less_eq_nat @t218) @t586))))))))))) % 0.85/1.06 (assume @p279 (forall @t522 (=> @t591 @t590))) % 0.85/1.06 (assume @p280 (forall @t329 (=> @t593 @t592))) % 0.85/1.06 (assume @p281 (forall @t522 (= @t591 @t590))) % 0.85/1.06 (assume @p282 (forall @t329 (= @t593 @t592))) % 0.85/1.06 (assume @p283 (forall @t522 (_ @t240 @t249))) % 0.85/1.06 (assume @p284 (forall @t329 (_ (_ tptp.ord_less_eq_nat tptp.bot_bot_nat) @t174))) % 0.85/1.06 (assume @p285 (_ (_ tptp.order_preorder_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.85/1.06 (assume @p286 (forall (@list @t183 @t594) (=> (forall @t83 (=> @t300 (=> @t321 (=> (not (= @t80 @t78)) (or (_ @t81 @t594) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t78) @t80)) @t594)))))) (_ (_ tptp.total_1490170027od_a_a @t183) @t594)))) % 0.85/1.06 (assume @p287 (forall (@list @t189 @t595) (=> (forall @t93 (=> @t303 (=> @t322 (=> (not (= @t90 @t88)) (or (_ @t91 @t595) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t88) @t90)) @t595)))))) (_ (_ tptp.total_on_nat @t189) @t595)))) % 0.85/1.06 (assume @p288 (forall (@list @t177 @t596) (=> (forall @t103 (=> @t306 (=> @t324 (=> (not (= @t98 @t96)) (or @t598 (_ (_ tptp.member449909584od_a_a (_ @t597 @t98)) @t596)))))) (_ (_ tptp.total_on_a @t177) @t596)))) % 0.85/1.06 (assume @p289 (forall (@list @t596 @t599) (=> (forall @t103 (=> @t598 (_ @t101 @t599))) (_ (_ tptp.ord_le1824328871od_a_a @t596) @t599)))) % 0.85/1.06 (assume @p290 (_ (_ tptp.refl_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.85/1.06 (assume @p291 (forall (@list @t183 @t594 @t171 @t600) (=> @t602 (=> (_ (_ tptp.member2057358096od_a_a (_ @t601 @t600)) @t594) (and @t325 (_ (_ tptp.member449909584od_a_a @t600) @t183)))))) % 0.85/1.06 (assume @p292 (forall (@list @t189 @t595 @t174 @t253) (=> @t603 (=> (_ (_ tptp.member701585322at_nat @t260) @t595) (and @t326 (_ (_ tptp.member_nat @t253) @t189)))))) % 0.85/1.06 (assume @p293 (forall (@list @t177 @t596 @t167 @t486) (=> @t604 (=> (_ (_ tptp.member449909584od_a_a @t491) @t596) (and @t328 (_ (_ tptp.member_a @t486) @t177)))))) % 0.85/1.06 (assume @p294 (forall @t606 (=> @t602 (=> @t605 (_ @t132 @t183))))) % 0.85/1.06 (assume @p295 (forall @t608 (=> @t603 (=> @t607 (_ @t138 @t189))))) % 0.85/1.06 (assume @p296 (forall @t610 (=> @t604 (=> @t609 (_ @t6 @t177))))) % 0.85/1.06 (assume @p297 (forall @t606 (=> @t602 (=> @t605 @t330)))) % 0.85/1.06 (assume @p298 (forall @t608 (=> @t603 (=> @t607 @t331)))) % 0.85/1.06 (assume @p299 (forall @t610 (=> @t604 (=> @t609 @t332)))) % 0.85/1.06 (assume @p300 (forall (@list @t183 @t594 @t171) (=> @t602 (=> @t325 (_ (_ tptp.member2057358096od_a_a (_ @t601 @t171)) @t594))))) % 0.85/1.06 (assume @p301 (forall (@list @t189 @t595 @t174) (=> @t603 (=> @t326 (_ (_ tptp.member701585322at_nat (_ @t259 @t174)) @t595))))) % 0.85/1.06 (assume @p302 (forall (@list @t177 @t596 @t167) (=> @t604 (=> @t328 (_ (_ tptp.member449909584od_a_a (_ @t490 @t167)) @t596))))) % 0.85/1.06 (assume @p303 (forall @t611 (_ (_ tptp.total_on_a tptp.bot_bot_set_a) @t596))) % 0.85/1.06 (assume @p304 (forall @t291 (= @t292 (= @t168 tptp.bot_bot_a_o)))) % 0.85/1.06 (assume @p305 (forall @t404 (= @t403 (forall @t614 (exists (@list @t612) (and (_ (_ tptp.ord_less_eq_nat @t613) @t612) (_ (_ tptp.member_nat @t612) @t402))))))) % 0.85/1.06 (assume @p306 (forall (@list @t183 @t616) (=> @t407 (=> (forall @t301 (not (_ @t617 @t80))) (=> (forall (@list @t80 @t78 @t618) (=> (_ @t617 @t78) (=> (_ (_ @t616 @t78) @t618) (_ @t617 @t618)))) (=> (forall @t301 (=> @t300 (exists (@list @t615) (and (_ (_ tptp.member449909584od_a_a @t615) @t183) (_ @t617 @t615))))) @t293)))))) % 0.85/1.06 (assume @p307 (forall (@list @t189 @t620) (=> @t397 (=> (forall @t304 (not (_ @t621 @t90))) (=> (forall (@list @t90 @t88 @t623) (=> (_ @t621 @t88) (=> (_ (_ @t620 @t88) @t623) (_ @t621 @t623)))) (=> (forall @t304 (=> @t303 (exists @t622 (and (_ (_ tptp.member_nat @t619) @t189) (_ @t621 @t619))))) @t294)))))) % 0.85/1.06 (assume @p308 (forall (@list @t177 @t625) (=> @t408 (=> (forall @t307 (not (_ @t626 @t98))) (=> (forall @t628 (=> (_ @t626 @t96) (=> (_ (_ @t625 @t96) @t627) (_ @t626 @t627)))) (=> (forall @t307 (=> @t306 (exists (@list @t624) (and (_ (_ tptp.member_a @t624) @t177) (_ @t626 @t624))))) @t241)))))) % 0.85/1.06 (assume @p309 (forall @t188 (=> (forall @t301 (not @t300)) (_ @t268 tptp.bot_bo2131659635od_a_a)))) % 0.85/1.06 (assume @p310 (forall @t194 (=> (forall @t304 (not @t303)) (_ @t277 tptp.bot_bot_set_nat)))) % 0.85/1.06 (assume @p311 (forall @t182 (=> (forall @t307 (not @t306)) @t243))) % 0.85/1.06 (assume @p312 (forall (@list @t631 @t633 @t629 @t630) (=> (_ (_ tptp.member449909584od_a_a (_ @t632 @t633)) @t629) (=> (= @t630 @t633) (_ (_ tptp.member449909584od_a_a (_ @t632 @t630)) @t629))))) % 0.85/1.06 (assume @p313 (forall @t70 (=> @t129 @t634))) % 0.85/1.06 (assume @p314 (= tptp.prefer580340847ioms_a tptp.total_on_a)) % 0.85/1.06 (assume @p315 (forall @t70 (=> @t69 @t634))) % 0.85/1.06 (assume @p316 (forall @t70 (=> @t68 (=> @t634 @t69)))) % 0.85/1.06 (assume @p317 (forall (@list @t177 @t636) (=> @t408 (=> (forall @t307 (=> @t306 (exists @t641 (_ (_ @t636 @t98) @t640)))) (exists @t587 (forall @t38 (=> (_ @t36 @t177) (exists @t639 (and @t638 (_ (_ @t636 @t32) @t635)))))))))) % 0.85/1.06 (assume @p318 (forall (@list @t183 @t642) (=> @t407 (=> (forall @t301 (=> @t300 (exists @t641 (_ (_ @t642 @t80) @t640)))) (exists @t587 (forall @t217 (=> (_ @t216 @t183) (exists @t639 (and @t638 (_ (_ @t642 @t215) @t635)))))))))) % 0.85/1.06 (assume @p319 (forall (@list @t189 @t519) (=> @t397 (=> (forall @t304 (=> @t303 (exists @t641 (_ (_ @t519 @t90) @t640)))) (exists @t587 (forall @t220 (=> (_ @t219 @t189) (exists @t639 (and @t638 (_ (_ @t519 @t218) @t635)))))))))) % 0.85/1.06 (assume @p320 (_ tptp.trans_a tptp.relation)) % 0.85/1.06 (assume @p321 (_ tptp.trans_a tptp.bot_bo2131659635od_a_a)) % 0.85/1.06 (assume @p322 (forall (@list @t596 @t2 @t5 @t50) (=> @t643 (=> @t609 (=> (_ @t59 @t596) (_ @t54 @t596)))))) % 0.85/1.06 (assume @p323 (forall @t611 (=> (forall @t628 (=> @t598 (=> (_ (_ tptp.member449909584od_a_a (_ @t597 @t627)) @t596) (_ (_ tptp.member449909584od_a_a (_ @t99 @t627)) @t596)))) @t643))) % 0.85/1.06 (assume @p324 (forall @t70 (=> @t68 (_ tptp.trans_a @t66)))) % 0.85/1.06 (assume @p325 (forall @t182 (=> @t408 (= (= @t283 tptp.zero_zero_nat) @t241)))) % 0.85/1.06 (assume @p326 (forall @t329 (_ @t644 @t174))) % 0.85/1.06 (assume @p327 (forall @t645 (_ @t644 @t417))) % 0.85/1.06 (assume @p328 (forall (@list @t175 @t646 @t253) (=> (_ @t175 @t646) (=> (forall @t323 (=> (_ @t175 @t88) (_ (_ tptp.ord_less_eq_nat @t88) @t253))) (exists @t304 (and @t589 (forall @t622 (=> (_ @t175 @t619) (_ (_ tptp.ord_less_eq_nat @t619) @t90))))))))) % 0.85/1.06 (assume @p329 (forall @t650 (or @t649 @t648))) % 0.85/1.06 (assume @p330 (forall @t650 (=> @t649 (=> @t648 @t651)))) % 0.85/1.06 (assume @p331 (forall @t650 (=> @t651 @t649))) % 0.85/1.06 (assume @p332 (forall (@list @t652 @t654 @t646) (=> (_ @t653 @t654) (=> (_ (_ tptp.ord_less_eq_nat @t654) @t646) (_ @t653 @t646))))) % 0.85/1.06 (assume @p333 (forall @t645 (_ @t433 @t417))) % 0.85/1.06 (assume @p334 (forall @t645 (= (_ @t433 tptp.zero_zero_nat) (= @t417 tptp.zero_zero_nat)))) % 0.85/1.06 (assume @p335 (forall @t329 (= @t656 @t655))) % 0.85/1.06 (assume @p336 (forall @t329 (=> @t656 @t655))) % 0.85/1.06 (assume @p337 (forall (@list @t175 @t417) (=> (_ @t175 @t417) (=> (not (_ @t175 tptp.zero_zero_nat)) (exists @t639 (and (_ @t637 @t417) (forall (@list @t657) (=> (_ (_ tptp.ord_less_nat @t657) @t635) (not (_ @t175 @t657)))) (_ @t175 @t635))))))) % 0.85/1.06 (assume @p338 @t658) % 0.85/1.06 (assume @p339 true) % 0.85/1.06 (step @p340 (= tptp.prefer1338892073od_a_a @t664) :rule refl :args (@t664)) % 0.85/1.06 (step @p341 (= tptp.prefer1293349710ce_nat @t668) :rule refl :args (@t668)) % 0.85/1.06 (step @p342 (= tptp.prefer1292084992ence_a @t678) :rule refl :args (@t678)) % 0.85/1.06 (step @p343 (= tptp.ord_le1824328871od_a_a @t679) :rule refl :args (@t679)) % 0.85/1.06 (step @p344 (= tptp.ord_less_eq_set_nat @t680) :rule refl :args (@t680)) % 0.85/1.06 (step @p345 (= tptp.ord_less_eq_set_a @t684) :rule refl :args (@t684)) % 0.85/1.06 (step @p346 (= tptp.finite_finite_nat @t686) :rule refl :args (@t686)) % 0.85/1.06 (step @p347 (= tptp.total_on_a @t691) :rule refl :args (@t691)) % 0.85/1.06 (step @p348 (= tptp.bot_bo1293121322_a_a_o @t692) :rule refl :args (@t692)) % 0.85/1.06 (step @p349 (= tptp.bot_bot_nat_o @t693) :rule refl :args (@t693)) % 0.85/1.06 (step @p350 (= tptp.bot_bot_a_o @t694) :rule refl :args (@t694)) % 0.85/1.06 (step @p351 (= tptp.prefer719835986ence_a @t695) :rule refl :args (@t695)) % 0.85/1.06 (step @p352 (= tptp.trans_a @t697) :rule refl :args (@t697)) % 0.85/1.06 (step @p353 (= tptp.order_preorder_on_a @t698) :rule refl :args (@t698)) % 0.85/1.06 (step @p354 (= tptp.is_empty_a @t699) :rule refl :args (@t699)) % 0.85/1.06 (step @p355 :rule refl :args (@t700)) % 0.85/1.06 (step @p356 :rule refl :args (@t15)) 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0.85/1.06 (step @p609 :rule reordering :premises (@p608) :args ((or @t723 @t722 @t768 @t767 (not @t808)))) % 0.85/1.06 (step @p610 :rule chain_m_resolution :premises (@p609 @p607 @p417 @p415 @p543 @p542) :args (@t769 (@list false true false true false) (@list @t808 @t722 @t721 @t767 @t766))) % 0.85/1.06 (step @p611 :rule refl :args (@t809)) % 0.85/1.06 (step @p612 :rule bool-double-not-elim :args (@t748)) % 0.85/1.06 (step @p613 :rule nary_cong :premises (@p612 @p611) :args ((or (not @t749) @t809))) % 0.85/1.06 (assume-push @p695 @t749) % 0.85/1.06 (step @p615 :rule skolemize :premises (@p695)) % 0.85/1.06 (step-pop @p696 :rule scope :premises (@p615)) % 0.85/1.06 (step @p616 :rule process_scope :premises (@p696) :args (@t809)) % 0.85/1.06 (step @p618 :rule implies_elim :premises (@p616)) % 0.85/1.06 (step @p619 :rule eq_resolve :premises (@p618 @p613)) % 0.85/1.06 (step @p620 :rule chain_m_resolution :premises (@p619 @p610) :args (@t748 @t756 (@list @t769))) % 0.85/1.06 (step @p621 :rule refl :args ((tptp.ord_less_eq_nat @t18 @t16))) % 0.85/1.06 (step @p622 :rule refl :args ((tptp.finite_card_a @t15))) % 0.85/1.06 (step @p623 :rule cong :premises (@p355) :args (@t744)) % 0.85/1.06 (step @p624 :rule trans :premises (@p623 @p622)) % 0.85/1.06 (step @p625 :rule refl :args ((tptp.finite_card_a @t17))) % 0.85/1.06 (step @p626 :rule cong :premises (@p369) :args (@t745)) % 0.85/1.06 (step @p627 :rule trans :premises (@p626 @p625)) % 0.85/1.06 (step @p628 :rule cong :premises (@p627 @p624) :args (@t746)) % 0.85/1.06 (step @p629 :rule trans :premises (@p628 @p621)) % 0.85/1.06 (step @p630 :rule ho_cong :premises (@p424 @p627)) % 0.85/1.06 (step @p631 :rule ho_cong :premises (@p630 @p624)) % 0.85/1.06 (step @p632 :rule cong :premises (@p631 @p629) :args ((= (_ (_ tptp.ord_less_eq_nat @t745) @t744) @t746))) % 0.85/1.06 (step @p633 :rule symm :premises (@p632)) % 0.85/1.06 (step @p634 :rule refl :args (@t19)) % 0.85/1.06 (step @p635 :rule eq_resolve :premises (@p634 @p633)) % 0.85/1.06 (step @p636 :rule refl :args (tptp.finite_card_a)) % 0.85/1.06 (step @p637 :rule ho_cong :premises (@p636 @p355)) % 0.85/1.06 (step @p638 :rule cong :premises (@p637 @p624) :args ((= (_ tptp.finite_card_a @t700) @t744))) % 0.85/1.06 (step @p639 :rule symm :premises (@p638)) % 0.85/1.06 (step @p640 :rule refl :args (@t16)) % 0.85/1.06 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 0.85/1.06 (step @p642 :rule refl :args (tptp.finite_card_a)) % 0.85/1.06 (step @p643 :rule ho_cong :premises (@p642 @p359)) % 0.85/1.06 (step @p644 :rule trans :premises (@p643 @p641)) % 0.85/1.06 (step @p645 :rule ho_cong :premises (@p636 @p369)) % 0.85/1.06 (step @p646 :rule cong :premises (@p645 @p627) :args ((= (_ tptp.finite_card_a @t702) @t745))) % 0.85/1.06 (step @p647 :rule symm :premises (@p646)) % 0.85/1.06 (step @p648 :rule refl :args (@t18)) % 0.85/1.06 (step @p649 :rule eq_resolve :premises (@p648 @p647)) % 0.85/1.06 (step @p650 :rule ho_cong :premises (@p642 @p373)) % 0.85/1.06 (step @p651 :rule trans :premises (@p650 @p649)) % 0.85/1.06 (step @p652 :rule refl :args (tptp.ord_less_eq_nat)) % 0.85/1.06 (step @p653 :rule ho_cong :premises (@p652 @p651)) % 0.85/1.06 (step @p654 :rule ho_cong :premises (@p653 @p644)) % 0.85/1.06 (step @p655 :rule trans :premises (@p654 @p635)) % 0.85/1.06 (step @p656 :rule eq_resolve :premises (@p4 @p655)) % 0.85/1.06 (step @p657 :rule cnf_or_pos :args (@t755)) % 0.85/1.06 (step @p658 :rule reordering :premises (@p657) :args ((or @t747 @t749 @t751 @t754 (not @t755)))) % 0.85/1.06 (step @p659 :rule chain_m_resolution :premises (@p658 @p656 @p620 @p536 @p498) :args (@t754 (@list false false false false) (@list @t746 @t748 @t750 @t755))) % 0.85/1.06 (step @p660 :rule refl :args (@t810)) % 0.85/1.06 (step @p661 :rule bool-double-not-elim :args (@t722)) % 0.85/1.06 (step @p662 :rule refl :args (@t723)) % 0.85/1.06 (step @p663 :rule nary_cong :premises (@p662 @p661 @p660) :args ((or @t723 (not @t727) @t810))) % 0.85/1.06 (assume-push @p697 @t721) % 0.85/1.06 (assume-push @p698 @t754) % 0.85/1.06 (assume-push @p699 @t727) % 0.85/1.06 (step @p667 :rule evaluate :args ((= false true))) % 0.85/1.06 (step @p668 :rule true_intro :premises (@p415)) % 0.85/1.06 (step @p669 :rule symm :premises (@p698)) % 0.85/1.06 (step @p670 :rule refl :args (@t720)) % 0.85/1.06 (step @p671 :rule cong :premises (@p670 @p669) :args (@t722)) % 0.85/1.06 (step @p672 :rule false_intro :premises (@p417)) % 0.85/1.06 (step @p673 :rule symm :premises (@p672)) % 0.85/1.06 (step @p674 :rule trans :premises (@p673 @p671 @p668)) % 0.85/1.06 (step @p675 false :rule eq_resolve :premises (@p674 @p667)) % 0.85/1.06 (step-pop @p700 :rule scope :premises (@p675)) % 0.85/1.06 (step-pop @p701 :rule scope :premises (@p700)) % 0.85/1.06 (step-pop @p702 :rule scope :premises (@p701)) % 0.85/1.06 (step @p676 :rule process_scope :premises (@p702) :args (false)) % 0.85/1.06 (assume-push @p703 @t721) % 0.85/1.06 (assume-push @p704 @t727) % 0.85/1.06 (assume-push @p705 @t754) % 0.85/1.06 (step @p683 :rule and_intro :premises (@p415 @p705 @p417)) % 0.85/1.06 (step-pop @p706 :rule scope :premises (@p683)) % 0.85/1.06 (step-pop @p707 :rule scope :premises (@p706)) % 0.85/1.06 (step-pop @p708 :rule scope :premises (@p707)) % 0.85/1.06 (step @p684 :rule process_scope :premises (@p708) :args (@t811)) % 0.85/1.06 (step @p688 :rule implies_elim :premises (@p684)) % 0.85/1.06 (step @p689 :rule resolution :premises (@p688 @p676) :args (true @t811)) % 0.85/1.06 (step @p690 :rule not_and :premises (@p689)) % 0.85/1.06 (step @p691 :rule eq_resolve :premises (@p690 @p663)) % 0.85/1.06 (step @p692 false :rule chain_m_resolution :premises (@p691 @p659 @p417 @p415) :args (false (@list false true false) (@list @t754 @t722 @t721))) % 0.85/1.06 ) % 0.85/1.06 % SZS output end Proof % 0.85/1.06 % cvc5 exiting %------------------------------------------------------------------------------