%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP104^1 : 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 : n022.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 08:25:04 AM UTC 2026 % Result : Theorem 0.48s 0.95s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP104^1 : 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 % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:14:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.62 %----Proving TH0 % 0.48/0.95 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/0.95 % SZS status Theorem % 0.48/0.95 % SZS output start Proof % 0.48/0.95 ( % 0.48/0.95 (declare-sort tptp.set_list_list_a 0) % 0.48/0.95 (declare-sort tptp.a 0) % 0.48/0.95 (declare-sort tptp.set_a 0) % 0.48/0.95 (declare-sort tptp.list_a 0) % 0.48/0.95 (declare-sort tptp.set_list_a 0) % 0.48/0.95 (declare-sort tptp.nat 0) % 0.48/0.95 (declare-sort tptp.set_nat 0) % 0.48/0.95 (declare-sort tptp.list_nat 0) % 0.48/0.95 (declare-sort tptp.list_list_a 0) % 0.48/0.95 (declare-sort tptp.list_list_nat 0) % 0.48/0.95 (declare-sort tptp.set_list_nat 0) % 0.48/0.95 (declare-sort tptp.list_list_list_nat 0) % 0.48/0.95 (declare-sort tptp.list_list_list_a 0) % 0.48/0.95 (declare-sort tptp.list_set_nat 0) % 0.48/0.95 (declare-sort tptp.list_set_list_a 0) % 0.48/0.95 (declare-sort tptp.list_l2071841302list_a 0) % 0.48/0.95 (declare-sort tptp.list_set_a 0) % 0.48/0.95 (declare-const tptp.nth_nat (-> tptp.list_nat tptp.nat tptp.nat)) % 0.48/0.95 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.48/0.95 (declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat)) % 0.48/0.95 (declare-const tptp.size_s1898481668st_nat (-> tptp.list_list_nat tptp.nat)) % 0.48/0.95 (declare-const tptp.divide_divide_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.48/0.95 (declare-const tptp.listSl1506485424st_nat (-> tptp.list_list_nat tptp.nat tptp.nat tptp.list_list_list_nat)) % 0.48/0.95 (declare-const tptp.size_s575106428list_a (-> tptp.list_list_list_a tptp.nat)) % 0.48/0.95 (declare-const tptp.listSl902632890list_a (-> tptp.list_list_list_a tptp.nat tptp.nat tptp.list_l2071841302list_a)) % 0.48/0.95 (declare-const tptp.size_s1427607542list_a (-> tptp.list_list_a tptp.nat)) % 0.48/0.95 (declare-const tptp.listSl856612276list_a (-> tptp.list_list_a tptp.nat tptp.nat tptp.list_list_list_a)) % 0.48/0.95 (declare-const tptp.listSl1794011552ux_nat (-> tptp.list_nat tptp.nat tptp.nat tptp.list_list_nat)) % 0.48/0.95 (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat)) % 0.48/0.95 (declare-const tptp.listSl1495374126_aux_a (-> tptp.list_a tptp.nat tptp.nat tptp.list_list_a)) % 0.48/0.95 (declare-const tptp.nth_list_nat (-> tptp.list_list_nat tptp.nat tptp.list_nat)) % 0.48/0.95 (declare-const tptp.nth_list_list_a (-> tptp.list_list_list_a tptp.nat tptp.list_list_a)) % 0.48/0.95 (declare-const tptp.nth_a (-> tptp.list_a tptp.nat tptp.a)) % 0.48/0.95 (declare-const tptp.nth_list_a (-> tptp.list_list_a tptp.nat tptp.list_a)) % 0.48/0.95 (declare-const tptp.nth_set_nat (-> tptp.list_set_nat tptp.nat tptp.set_nat)) % 0.48/0.95 (declare-const tptp.ord_less_eq_set_nat (-> tptp.set_nat tptp.set_nat Bool)) % 0.48/0.95 (declare-const tptp.size_s577819178et_nat (-> tptp.list_set_nat tptp.nat)) % 0.48/0.95 (declare-const tptp.nth_set_list_a (-> tptp.list_set_list_a tptp.nat tptp.set_list_a)) % 0.48/0.95 (declare-const tptp.ord_le1301786372list_a (-> tptp.set_list_a tptp.set_list_a Bool)) % 0.48/0.95 (declare-const tptp.size_s1635937238list_a (-> tptp.list_set_list_a tptp.nat)) % 0.48/0.95 (declare-const tptp.nth_set_a (-> tptp.list_set_a tptp.nat tptp.set_a)) % 0.48/0.95 (declare-const tptp.ord_less_eq_set_a (-> tptp.set_a tptp.set_a Bool)) % 0.48/0.95 (declare-const tptp.size_size_list_set_a (-> tptp.list_set_a tptp.nat)) % 0.48/0.95 (declare-const tptp.m tptp.nat) % 0.48/0.95 (declare-const tptp.ord_le1756736906list_a (-> tptp.set_list_list_a tptp.set_list_list_a Bool)) % 0.48/0.95 (declare-const tptp.ord_le1747345782st_nat (-> tptp.set_list_nat tptp.set_list_nat Bool)) % 0.48/0.95 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.48/0.95 (declare-const tptp.collect_list_a (-> (-> tptp.list_a Bool) tptp.set_list_a)) % 0.48/0.95 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.48/0.95 (declare-const tptp.set_nat2 (-> tptp.list_nat tptp.set_nat)) % 0.48/0.95 (declare-const tptp.set_list_a2 (-> tptp.list_list_a tptp.set_list_a)) % 0.48/0.95 (declare-const tptp.set_list_list_a2 (-> tptp.list_list_list_a tptp.set_list_list_a)) % 0.48/0.95 (declare-const tptp.set_list_nat2 (-> tptp.list_list_nat tptp.set_list_nat)) % 0.48/0.95 (declare-const tptp.xs tptp.list_a) % 0.48/0.95 (declare-const tptp.butlast_nat (-> tptp.list_nat tptp.list_nat)) % 0.48/0.95 (declare-const tptp.k tptp.nat) % 0.48/0.95 (declare-const tptp.butlast_list_a (-> tptp.list_list_a tptp.list_list_a)) % 0.48/0.95 (declare-const tptp.butlast_a (-> tptp.list_a tptp.list_a)) % 0.48/0.95 (declare-const tptp.butlast_list_list_a (-> tptp.list_list_list_a tptp.list_list_list_a)) % 0.48/0.95 (declare-const tptp.butlast_list_nat (-> tptp.list_list_nat tptp.list_list_nat)) % 0.48/0.95 (declare-const tptp.list_update_a (-> tptp.list_a tptp.nat tptp.a tptp.list_a)) % 0.48/0.95 (declare-const tptp.list_u1330012152list_a (-> tptp.list_list_list_a tptp.nat tptp.list_list_a tptp.list_list_list_a)) % 0.48/0.95 (declare-const tptp.list_update_list_a (-> tptp.list_list_a tptp.nat tptp.list_a tptp.list_list_a)) % 0.48/0.95 (declare-const tptp.f_image_nat (-> tptp.list_nat tptp.set_nat tptp.set_nat)) % 0.48/0.95 (declare-const tptp.listSl1174287072ice2_a (-> tptp.list_a tptp.nat tptp.list_list_a)) % 0.48/0.95 (declare-const tptp.listSl882585454e2_nat (-> tptp.list_nat tptp.nat tptp.list_list_nat)) % 0.48/0.95 (declare-const tptp.listSl703198822list_a (-> tptp.list_list_a tptp.nat tptp.list_list_list_a)) % 0.48/0.95 (declare-const tptp.nth_list_list_list_a (-> tptp.list_l2071841302list_a tptp.nat tptp.list_list_list_a)) % 0.48/0.95 (declare-const tptp.size_s1321307156st_nat (-> tptp.list_list_list_nat tptp.nat)) % 0.48/0.95 (declare-const tptp.f_image_list_a (-> tptp.list_list_a tptp.set_nat tptp.set_list_a)) % 0.48/0.95 (declare-const tptp.listSl2099749758st_nat (-> tptp.list_list_nat tptp.nat tptp.list_list_list_nat)) % 0.48/0.95 (declare-const tptp.list_update_nat (-> tptp.list_nat tptp.nat tptp.nat tptp.list_nat)) % 0.48/0.95 (declare-const tptp.f_image_a (-> tptp.list_a tptp.set_nat tptp.set_a)) % 0.48/0.95 (declare-const tptp.listSl769338732list_a (-> tptp.list_list_list_a tptp.nat tptp.list_l2071841302list_a)) % 0.48/0.95 (declare-const tptp.nth_list_list_nat (-> tptp.list_list_list_nat tptp.nat tptp.list_list_nat)) % 0.48/0.95 (declare-const tptp.top_top_set_nat tptp.set_nat) % 0.48/0.95 (declare-const tptp.list_update_list_nat (-> tptp.list_list_nat tptp.nat tptp.list_nat tptp.list_list_nat)) % 0.48/0.95 (declare-const tptp.set_a2 (-> tptp.list_a tptp.set_a)) % 0.48/0.95 (declare-const tptp.member_list_list_a (-> tptp.list_list_a tptp.set_list_list_a Bool)) % 0.48/0.95 (declare-const tptp.distinct_list_nat (-> tptp.list_list_nat Bool)) % 0.48/0.95 (declare-const tptp.size_s1764310658list_a (-> tptp.list_l2071841302list_a tptp.nat)) % 0.48/0.95 (declare-const tptp.f_image_list_nat (-> tptp.list_list_nat tptp.set_nat tptp.set_list_nat)) % 0.48/0.95 (declare-const tptp.member_list_nat (-> tptp.list_nat tptp.set_list_nat Bool)) % 0.48/0.95 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.48/0.95 (declare-const tptp.distinct_list_list_a (-> tptp.list_list_list_a Bool)) % 0.48/0.95 (declare-const tptp.f_image_list_list_a (-> tptp.list_list_list_a tptp.set_nat tptp.set_list_list_a)) % 0.48/0.95 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.48/0.95 (declare-const tptp.member_list_a (-> tptp.list_a tptp.set_list_a Bool)) % 0.48/0.95 (define tptp.list_strict_desc_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_less_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_strict_asc_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_less_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.listSl729562870st_nat () (let ((_let_1 (@var "K2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_nat))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.listSl1506485424st_nat _let_2) _let_1) (_ (_ tptp.divide_divide_nat (_ tptp.size_s1898481668st_nat _let_2)) _let_1)))))) % 0.48/0.95 (define tptp.listSl2102238196list_a () (let ((_let_1 (@var "K2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_list_a))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.listSl902632890list_a _let_2) _let_1) (_ (_ tptp.divide_divide_nat (_ tptp.size_s575106428list_a _let_2)) _let_1)))))) % 0.48/0.95 (define tptp.listSl162220270list_a () (let ((_let_1 (@var "K2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_a))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.listSl856612276list_a _let_2) _let_1) (_ (_ tptp.divide_divide_nat (_ tptp.size_s1427607542list_a _let_2)) _let_1)))))) % 0.48/0.95 (define tptp.listSl1630398182ce_nat () (let ((_let_1 (@var "K2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.listSl1794011552ux_nat _let_2) _let_1) (_ (_ tptp.divide_divide_nat (_ tptp.size_size_list_nat _let_2)) _let_1)))))) % 0.48/0.95 (define tptp.listSl97544552lice_a () (let ((_let_1 (@var "K2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_a))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.listSl1495374126_aux_a _let_2) _let_1) (_ (_ tptp.divide_divide_nat (_ tptp.size_size_list_a _let_2)) _let_1)))))) % 0.48/0.95 (define tptp.list_ex_list_nat () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_nat))) (let ((_let_3 (@var "P2" (-> tptp.list_nat Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s1898481668st_nat _let_2)) (_ _let_3 (_ (_ tptp.nth_list_nat _let_2) _let_1))))))))) % 0.48/0.95 (define tptp.list_ex_list_list_a () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_list_a))) (let ((_let_3 (@var "P2" (-> tptp.list_list_a Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s575106428list_a _let_2)) (_ _let_3 (_ (_ tptp.nth_list_list_a _let_2) _let_1))))))))) % 0.48/0.95 (define tptp.list_ex_a () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_a))) (let ((_let_3 (@var "P2" (-> tptp.a Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_a _let_2)) (_ _let_3 (_ (_ tptp.nth_a _let_2) _let_1))))))))) % 0.48/0.95 (define tptp.list_ex_list_a () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_a))) (let ((_let_3 (@var "P2" (-> tptp.list_a Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s1427607542list_a _let_2)) (_ _let_3 (_ (_ tptp.nth_list_a _let_2) _let_1))))))))) % 0.48/0.95 (define tptp.list_ex_nat () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (@var "P2" (-> tptp.nat Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (_ _let_3 (_ (_ tptp.nth_nat _let_2) _let_1))))))))) % 0.48/0.95 (define tptp.list_desc_set_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_set_nat))) (let ((_let_3 (_ tptp.nth_set_nat _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_s577819178et_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_less_eq_set_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_desc_set_list_a () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_set_list_a))) (let ((_let_3 (_ tptp.nth_set_list_a _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_s1635937238list_a _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_le1301786372list_a (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_desc_set_a () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_set_a))) (let ((_let_3 (_ tptp.nth_set_a _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_set_a _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_less_eq_set_a (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "M3" tptp.nat))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_nat _let_2) _let_1) (= _let_2 _let_1)))))) % 0.48/0.95 (define tptp.list_desc_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_asc_set_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_set_nat))) (let ((_let_3 (_ tptp.nth_set_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s577819178et_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_less_eq_set_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_asc_set_list_a () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_set_list_a))) (let ((_let_3 (_ tptp.nth_set_list_a _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s1635937238list_a _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_le1301786372list_a (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_asc_set_a () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_set_a))) (let ((_let_3 (_ tptp.nth_set_a _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_set_a _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_less_eq_set_a (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.list_asc_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.48/0.95 (define tptp.distinct_a () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_a))) (let ((_let_3 (_ tptp.nth_a _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (let ((_let_5 (_ tptp.size_size_list_a _let_2))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_5) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_5) (=> (not (= _let_4 _let_1)) (not (= (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))))))) % 0.48/0.95 (define tptp.distinct_list_a () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_list_a))) (let ((_let_3 (_ tptp.nth_list_a _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (let ((_let_5 (_ tptp.size_s1427607542list_a _let_2))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_5) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_5) (=> (not (= _let_4 _let_1)) (not (= (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))))))) % 0.48/0.95 (define tptp.distinct_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (let ((_let_5 (_ tptp.size_size_list_nat _let_2))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_5) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_5) (=> (not (= _let_4 _let_1)) (not (= (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))))))) % 0.48/0.95 (define @t1 () (@var "Ys" tptp.list_list_nat)) % 0.48/0.95 (define @t2 () (@var "Xs" tptp.list_list_nat)) % 0.48/0.95 (define @t3 () (= @t2 @t1)) % 0.48/0.95 (define @t4 () (@var "I" tptp.nat)) % 0.48/0.95 (define @t5 () (_ tptp.nth_list_nat @t2)) % 0.48/0.95 (define @t6 () (_ tptp.size_s1898481668st_nat @t2)) % 0.48/0.95 (define @t7 () (_ tptp.ord_less_nat @t4)) % 0.48/0.95 (define @t8 () (@list @t4)) % 0.48/0.95 (define @t9 () (= @t6 (_ tptp.size_s1898481668st_nat @t1))) % 0.48/0.95 (define @t10 () (@list @t2 @t1)) % 0.48/0.95 (define @t11 () (@var "Ys" tptp.list_list_list_a)) % 0.48/0.95 (define @t12 () (@var "Xs" tptp.list_list_list_a)) % 0.48/0.95 (define @t13 () (= @t12 @t11)) % 0.48/0.95 (define @t14 () (_ tptp.nth_list_list_a @t12)) % 0.48/0.95 (define @t15 () (_ tptp.size_s575106428list_a @t12)) % 0.48/0.95 (define @t16 () (= @t15 (_ tptp.size_s575106428list_a @t11))) % 0.48/0.95 (define @t17 () (@list @t12 @t11)) % 0.48/0.95 (define @t18 () (@var "Ys" tptp.list_nat)) % 0.48/0.95 (define @t19 () (@var "Xs" tptp.list_nat)) % 0.48/0.95 (define @t20 () (= @t19 @t18)) % 0.48/0.95 (define @t21 () (_ tptp.nth_nat @t19)) % 0.48/0.95 (define @t22 () (_ @t21 @t4)) % 0.48/0.95 (define @t23 () (_ tptp.size_size_list_nat @t19)) % 0.48/0.95 (define @t24 () (_ @t7 @t23)) % 0.48/0.95 (define @t25 () (= @t23 (_ tptp.size_size_list_nat @t18))) % 0.48/0.95 (define @t26 () (@list @t19 @t18)) % 0.48/0.95 (define @t27 () (@var "Ys" tptp.list_list_a)) % 0.48/0.95 (define @t28 () (@var "Xs" tptp.list_list_a)) % 0.48/0.95 (define @t29 () (= @t28 @t27)) % 0.48/0.95 (define @t30 () (_ tptp.nth_list_a @t28)) % 0.48/0.95 (define @t31 () (_ @t30 @t4)) % 0.48/0.95 (define @t32 () (_ tptp.size_s1427607542list_a @t28)) % 0.48/0.95 (define @t33 () (_ @t7 @t32)) % 0.48/0.95 (define @t34 () (= @t32 (_ tptp.size_s1427607542list_a @t27))) % 0.48/0.95 (define @t35 () (@list @t28 @t27)) % 0.48/0.95 (define @t36 () (@var "Ys" tptp.list_a)) % 0.48/0.95 (define @t37 () (@var "Xs" tptp.list_a)) % 0.48/0.95 (define @t38 () (= @t37 @t36)) % 0.48/0.95 (define @t39 () (_ tptp.nth_a @t37)) % 0.48/0.96 (define @t40 () (_ @t39 @t4)) % 0.48/0.96 (define @t41 () (_ tptp.size_size_list_a @t37)) % 0.48/0.96 (define @t42 () (_ @t7 @t41)) % 0.48/0.96 (define @t43 () (= @t41 (_ tptp.size_size_list_a @t36))) % 0.48/0.96 (define @t44 () (@list @t37 @t36)) % 0.48/0.96 (define @t45 () (@var "I2" tptp.nat)) % 0.48/0.96 (define @t46 () (@var "Xs2" tptp.list_list_nat)) % 0.48/0.96 (define @t47 () (_ tptp.nth_list_nat @t46)) % 0.48/0.96 (define @t48 () (_ @t47 @t45)) % 0.48/0.96 (define @t49 () (@var "P" (-> tptp.nat tptp.list_nat Bool))) % 0.48/0.96 (define @t50 () (_ @t49 @t45)) % 0.48/0.96 (define @t51 () (@var "K" tptp.nat)) % 0.48/0.96 (define @t52 () (_ tptp.ord_less_nat @t45)) % 0.48/0.96 (define @t53 () (_ @t52 @t51)) % 0.48/0.96 (define @t54 () (@list @t45)) % 0.48/0.96 (define @t55 () (_ tptp.size_s1898481668st_nat @t46)) % 0.48/0.96 (define @t56 () (@var "X" tptp.list_nat)) % 0.48/0.96 (define @t57 () (@var "Xs2" tptp.list_list_list_a)) % 0.48/0.96 (define @t58 () (_ tptp.nth_list_list_a @t57)) % 0.48/0.96 (define @t59 () (_ @t58 @t45)) % 0.48/0.96 (define @t60 () (@var "P" (-> tptp.nat tptp.list_list_a Bool))) % 0.48/0.96 (define @t61 () (_ @t60 @t45)) % 0.48/0.96 (define @t62 () (_ tptp.size_s575106428list_a @t57)) % 0.48/0.96 (define @t63 () (@var "X" tptp.list_list_a)) % 0.48/0.96 (define @t64 () (@var "Xs2" tptp.list_nat)) % 0.48/0.96 (define @t65 () (_ tptp.nth_nat @t64)) % 0.48/0.96 (define @t66 () (_ @t65 @t45)) % 0.48/0.96 (define @t67 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.48/0.96 (define @t68 () (_ @t67 @t45)) % 0.48/0.96 (define @t69 () (_ tptp.size_size_list_nat @t64)) % 0.48/0.96 (define @t70 () (@list @t64)) % 0.48/0.96 (define @t71 () (@var "X" tptp.nat)) % 0.48/0.96 (define @t72 () (@list @t71)) % 0.48/0.96 (define @t73 () (@var "Xs2" tptp.list_list_a)) % 0.48/0.96 (define @t74 () (_ tptp.nth_list_a @t73)) % 0.48/0.96 (define @t75 () (_ @t74 @t45)) % 0.48/0.96 (define @t76 () (@var "P" (-> tptp.nat tptp.list_a Bool))) % 0.48/0.96 (define @t77 () (_ @t76 @t45)) % 0.48/0.96 (define @t78 () (_ tptp.size_s1427607542list_a @t73)) % 0.48/0.96 (define @t79 () (@list @t73)) % 0.48/0.96 (define @t80 () (@var "X" tptp.list_a)) % 0.48/0.96 (define @t81 () (@var "Xs2" tptp.list_a)) % 0.48/0.96 (define @t82 () (_ tptp.nth_a @t81)) % 0.48/0.96 (define @t83 () (_ @t82 @t45)) % 0.48/0.96 (define @t84 () (@var "P" (-> tptp.nat tptp.a Bool))) % 0.48/0.96 (define @t85 () (_ @t84 @t45)) % 0.48/0.96 (define @t86 () (_ tptp.size_size_list_a @t81)) % 0.48/0.96 (define @t87 () (@list @t81)) % 0.48/0.96 (define @t88 () (@var "X" tptp.a)) % 0.48/0.96 (define @t89 () (@var "Ys2" tptp.list_list_nat)) % 0.48/0.96 (define @t90 () (@var "Z" tptp.list_list_nat)) % 0.48/0.96 (define @t91 () (@var "Y" tptp.list_list_nat)) % 0.48/0.96 (define @t92 () (@var "Ys2" tptp.list_list_list_a)) % 0.48/0.96 (define @t93 () (@var "Z" tptp.list_list_list_a)) % 0.48/0.96 (define @t94 () (@var "Y" tptp.list_list_list_a)) % 0.48/0.96 (define @t95 () (@var "Ys2" tptp.list_nat)) % 0.48/0.96 (define @t96 () (_ @t52 @t69)) % 0.48/0.96 (define @t97 () (@var "Z" tptp.list_nat)) % 0.48/0.96 (define @t98 () (@var "Y" tptp.list_nat)) % 0.48/0.96 (define @t99 () (@var "Ys2" tptp.list_list_a)) % 0.48/0.96 (define @t100 () (_ @t52 @t78)) % 0.48/0.96 (define @t101 () (@var "Z" tptp.list_list_a)) % 0.48/0.96 (define @t102 () (@var "Y" tptp.list_list_a)) % 0.48/0.96 (define @t103 () (@var "Ys2" tptp.list_a)) % 0.48/0.96 (define @t104 () (_ @t52 @t86)) % 0.48/0.96 (define @t105 () (@var "Z" tptp.list_a)) % 0.48/0.96 (define @t106 () (@var "Y" tptp.list_a)) % 0.48/0.96 (define @t107 () (@var "M" tptp.nat)) % 0.48/0.96 (define @t108 () (_ (_ tptp.listSl729562870st_nat @t2) @t51)) % 0.48/0.96 (define @t109 () (_ (_ tptp.nth_list_list_nat @t108) @t107)) % 0.48/0.96 (define @t110 () (_ (_ tptp.divide_divide_nat @t6) @t51)) % 0.48/0.96 (define @t111 () (_ tptp.ord_less_nat @t107)) % 0.48/0.96 (define @t112 () (_ @t111 @t110)) % 0.48/0.96 (define @t113 () (@list @t107 @t2 @t51)) % 0.48/0.96 (define @t114 () (_ (_ tptp.listSl2102238196list_a @t12) @t51)) % 0.48/0.96 (define @t115 () (_ (_ tptp.nth_list_list_list_a @t114) @t107)) % 0.48/0.96 (define @t116 () (_ (_ tptp.divide_divide_nat @t15) @t51)) % 0.48/0.96 (define @t117 () (_ @t111 @t116)) % 0.48/0.96 (define @t118 () (@list @t107 @t12 @t51)) % 0.48/0.96 (define @t119 () (_ (_ tptp.listSl162220270list_a @t28) @t51)) % 0.48/0.96 (define @t120 () (_ (_ tptp.nth_list_list_a @t119) @t107)) % 0.48/0.96 (define @t121 () (_ (_ tptp.divide_divide_nat @t32) @t51)) % 0.48/0.96 (define @t122 () (_ @t111 @t121)) % 0.48/0.96 (define @t123 () (@list @t107 @t28 @t51)) % 0.48/0.96 (define @t124 () (_ (_ tptp.listSl1630398182ce_nat @t19) @t51)) % 0.48/0.96 (define @t125 () (_ (_ tptp.nth_list_nat @t124) @t107)) % 0.48/0.96 (define @t126 () (_ (_ tptp.divide_divide_nat @t23) @t51)) % 0.48/0.96 (define @t127 () (_ @t111 @t126)) % 0.48/0.96 (define @t128 () (@list @t107 @t19 @t51)) % 0.48/0.96 (define @t129 () (_ (_ tptp.listSl97544552lice_a @t37) @t51)) % 0.48/0.96 (define @t130 () (_ (_ tptp.nth_list_a @t129) @t107)) % 0.48/0.96 (define @t131 () (_ (_ tptp.listSl1174287072ice2_a @t37) @t51)) % 0.48/0.96 (define @t132 () (_ (_ tptp.nth_list_a @t131) @t107)) % 0.48/0.96 (define @t133 () (= @t132 @t130)) % 0.48/0.96 (define @t134 () (_ tptp.divide_divide_nat @t41)) % 0.48/0.96 (define @t135 () (_ @t134 @t51)) % 0.48/0.96 (define @t136 () (_ @t111 @t135)) % 0.48/0.96 (define @t137 () (=> @t136 @t133)) % 0.48/0.96 (define @t138 () (@list @t107 @t37 @t51)) % 0.48/0.96 (define @t139 () (forall @t138 @t137)) % 0.48/0.96 (define @t140 () (@var "P" (-> tptp.list_list_nat Bool))) % 0.48/0.96 (define @t141 () (@var "Xs3" tptp.list_list_nat)) % 0.48/0.96 (define @t142 () (@var "Ys3" tptp.list_list_nat)) % 0.48/0.96 (define @t143 () (_ tptp.size_s1898481668st_nat @t141)) % 0.48/0.96 (define @t144 () (@list @t141)) % 0.48/0.96 (define @t145 () (@var "P" (-> tptp.list_list_list_a Bool))) % 0.48/0.96 (define @t146 () (@var "Xs3" tptp.list_list_list_a)) % 0.48/0.96 (define @t147 () (@var "Ys3" tptp.list_list_list_a)) % 0.48/0.96 (define @t148 () (_ tptp.size_s575106428list_a @t146)) % 0.48/0.96 (define @t149 () (@list @t146)) % 0.48/0.96 (define @t150 () (@var "P" (-> tptp.list_list_a Bool))) % 0.48/0.96 (define @t151 () (@var "Xs3" tptp.list_list_a)) % 0.48/0.96 (define @t152 () (@var "Ys3" tptp.list_list_a)) % 0.48/0.96 (define @t153 () (_ tptp.size_s1427607542list_a @t151)) % 0.48/0.96 (define @t154 () (@list @t151)) % 0.48/0.96 (define @t155 () (@var "P" (-> tptp.list_nat Bool))) % 0.48/0.96 (define @t156 () (@var "Xs3" tptp.list_nat)) % 0.48/0.96 (define @t157 () (@var "Ys3" tptp.list_nat)) % 0.48/0.96 (define @t158 () (_ tptp.size_size_list_nat @t156)) % 0.48/0.96 (define @t159 () (@list @t156)) % 0.48/0.96 (define @t160 () (@var "P" (-> tptp.list_a Bool))) % 0.48/0.96 (define @t161 () (@var "Xs3" tptp.list_a)) % 0.48/0.96 (define @t162 () (@var "Ys3" tptp.list_a)) % 0.48/0.96 (define @t163 () (_ tptp.size_size_list_a @t161)) % 0.48/0.96 (define @t164 () (@list @t161)) % 0.48/0.96 (define @t165 () (= (_ tptp.size_size_list_a @t130) @t51)) % 0.48/0.96 (define @t166 () (=> @t136 @t165)) % 0.48/0.96 (define @t167 () (forall @t138 @t166)) % 0.48/0.96 (define @t168 () (@var "N" tptp.nat)) % 0.48/0.96 (define @t169 () (@list @t168)) % 0.48/0.96 (define @t170 () (@var "Y2" tptp.list_list_nat)) % 0.48/0.96 (define @t171 () (@var "X2" tptp.list_list_nat)) % 0.48/0.96 (define @t172 () (@var "Y2" tptp.list_list_list_a)) % 0.48/0.96 (define @t173 () (@var "X2" tptp.list_list_list_a)) % 0.48/0.96 (define @t174 () (@var "Y2" tptp.list_a)) % 0.48/0.96 (define @t175 () (@var "X2" tptp.list_a)) % 0.48/0.96 (define @t176 () (@var "Y2" tptp.list_list_a)) % 0.48/0.96 (define @t177 () (@var "X2" tptp.list_list_a)) % 0.48/0.96 (define @t178 () (@var "Y2" tptp.list_nat)) % 0.48/0.96 (define @t179 () (@var "X2" tptp.list_nat)) % 0.48/0.96 (define @t180 () (_ tptp.ord_less_nat @t168)) % 0.48/0.96 (define @t181 () (_ @t180 @t107)) % 0.48/0.96 (define @t182 () (_ @t111 @t168)) % 0.48/0.96 (define @t183 () (= @t107 @t168)) % 0.48/0.96 (define @t184 () (not @t183)) % 0.48/0.96 (define @t185 () (@list @t107 @t168)) % 0.48/0.96 (define @t186 () (@var "X2" tptp.nat)) % 0.48/0.96 (define @t187 () (@var "Y2" tptp.nat)) % 0.48/0.96 (define @t188 () (_ tptp.ord_less_nat @t187)) % 0.48/0.96 (define @t189 () (_ @t188 @t186)) % 0.48/0.96 (define @t190 () (_ tptp.ord_less_nat @t186)) % 0.48/0.96 (define @t191 () (_ @t190 @t187)) % 0.48/0.96 (define @t192 () (not @t191)) % 0.48/0.96 (define @t193 () (= @t186 @t187)) % 0.48/0.96 (define @t194 () (not @t193)) % 0.48/0.96 (define @t195 () (@list @t186 @t187)) % 0.48/0.96 (define @t196 () (@var "P" (-> tptp.nat Bool))) % 0.48/0.96 (define @t197 () (_ @t196 @t168)) % 0.48/0.96 (define @t198 () (@var "M2" tptp.nat)) % 0.48/0.96 (define @t199 () (_ @t196 @t198)) % 0.48/0.96 (define @t200 () (@var "N2" tptp.nat)) % 0.48/0.96 (define @t201 () (_ (_ tptp.ord_less_nat @t198) @t200)) % 0.48/0.96 (define @t202 () (@list @t198)) % 0.48/0.96 (define @t203 () (_ @t196 @t200)) % 0.48/0.96 (define @t204 () (@list @t200)) % 0.48/0.96 (define @t205 () (@list @t196 @t168)) % 0.48/0.96 (define @t206 () (@var "T" tptp.nat)) % 0.48/0.96 (define @t207 () (@var "S" tptp.nat)) % 0.48/0.96 (define @t208 () (_ tptp.list_strict_desc_nat @t19)) % 0.48/0.96 (define @t209 () (@list @t19)) % 0.48/0.96 (define @t210 () (@var "A" tptp.set_nat)) % 0.48/0.96 (define @t211 () (_ tptp.f_image_list_nat @t2)) % 0.48/0.96 (define @t212 () (_ @t211 @t210)) % 0.48/0.96 (define @t213 () (_ tptp.member_list_nat @t179)) % 0.48/0.96 (define @t214 () (_ @t213 @t212)) % 0.48/0.96 (define @t215 () (_ @t180 @t6)) % 0.48/0.96 (define @t216 () (_ (_ tptp.member_nat @t168) @t210)) % 0.48/0.96 (define @t217 () (_ @t5 @t168)) % 0.48/0.96 (define @t218 () (= @t179 @t217)) % 0.48/0.96 (define @t219 () (_ tptp.f_image_list_list_a @t12)) % 0.48/0.96 (define @t220 () (_ @t219 @t210)) % 0.48/0.96 (define @t221 () (_ tptp.member_list_list_a @t177)) % 0.48/0.96 (define @t222 () (_ @t221 @t220)) % 0.48/0.96 (define @t223 () (_ @t180 @t15)) % 0.48/0.96 (define @t224 () (_ @t14 @t168)) % 0.48/0.96 (define @t225 () (= @t177 @t224)) % 0.48/0.96 (define @t226 () (_ tptp.f_image_a @t37)) % 0.48/0.96 (define @t227 () (_ @t226 @t210)) % 0.48/0.96 (define @t228 () (@var "X2" tptp.a)) % 0.48/0.96 (define @t229 () (_ tptp.member_a @t228)) % 0.48/0.96 (define @t230 () (_ @t229 @t227)) % 0.48/0.96 (define @t231 () (_ @t180 @t41)) % 0.48/0.96 (define @t232 () (_ @t39 @t168)) % 0.48/0.96 (define @t233 () (= @t228 @t232)) % 0.48/0.96 (define @t234 () (_ tptp.f_image_list_a @t28)) % 0.48/0.96 (define @t235 () (_ @t234 @t210)) % 0.48/0.96 (define @t236 () (_ tptp.member_list_a @t175)) % 0.48/0.96 (define @t237 () (_ @t236 @t235)) % 0.48/0.96 (define @t238 () (_ @t180 @t32)) % 0.48/0.96 (define @t239 () (_ @t30 @t168)) % 0.48/0.96 (define @t240 () (= @t175 @t239)) % 0.48/0.96 (define @t241 () (_ tptp.f_image_nat @t19)) % 0.48/0.96 (define @t242 () (_ @t241 @t210)) % 0.48/0.96 (define @t243 () (_ tptp.member_nat @t186)) % 0.48/0.96 (define @t244 () (_ @t243 @t242)) % 0.48/0.96 (define @t245 () (_ @t180 @t23)) % 0.48/0.96 (define @t246 () (_ @t21 @t168)) % 0.48/0.96 (define @t247 () (= @t186 @t246)) % 0.48/0.96 (define @t248 () (_ tptp.list_strict_asc_nat @t19)) % 0.48/0.96 (define @t249 () (@var "I3" tptp.nat)) % 0.48/0.96 (define @t250 () (_ (_ tptp.list_update_list_nat @t2) @t249)) % 0.48/0.96 (define @t251 () (_ @t250 @t179)) % 0.48/0.96 (define @t252 () (_ tptp.nth_list_nat @t251)) % 0.48/0.96 (define @t253 () (_ tptp.ord_less_nat @t249)) % 0.48/0.96 (define @t254 () (_ @t253 @t6)) % 0.48/0.96 (define @t255 () (@list @t249 @t2 @t179)) % 0.48/0.96 (define @t256 () (_ (_ tptp.list_u1330012152list_a @t12) @t249)) % 0.48/0.96 (define @t257 () (_ @t256 @t177)) % 0.48/0.96 (define @t258 () (_ tptp.nth_list_list_a @t257)) % 0.48/0.96 (define @t259 () (_ @t253 @t15)) % 0.48/0.96 (define @t260 () (@list @t249 @t12 @t177)) % 0.48/0.96 (define @t261 () (_ tptp.list_update_a @t37)) % 0.48/0.96 (define @t262 () (_ @t261 @t249)) % 0.48/0.96 (define @t263 () (_ @t262 @t228)) % 0.48/0.96 (define @t264 () (_ tptp.nth_a @t263)) % 0.48/0.96 (define @t265 () (_ @t253 @t41)) % 0.48/0.96 (define @t266 () (@list @t249 @t37 @t228)) % 0.48/0.96 (define @t267 () (_ tptp.list_update_list_a @t28)) % 0.48/0.96 (define @t268 () (_ @t267 @t249)) % 0.48/0.96 (define @t269 () (_ @t268 @t175)) % 0.48/0.96 (define @t270 () (_ tptp.nth_list_a @t269)) % 0.48/0.96 (define @t271 () (_ @t253 @t32)) % 0.48/0.96 (define @t272 () (@list @t249 @t28 @t175)) % 0.48/0.96 (define @t273 () (_ tptp.list_update_nat @t19)) % 0.48/0.96 (define @t274 () (_ @t273 @t249)) % 0.48/0.96 (define @t275 () (_ @t274 @t186)) % 0.48/0.96 (define @t276 () (_ tptp.nth_nat @t275)) % 0.48/0.96 (define @t277 () (_ @t253 @t23)) % 0.48/0.96 (define @t278 () (@list @t249 @t19 @t186)) % 0.48/0.96 (define @t279 () (@var "X3" tptp.nat)) % 0.48/0.96 (define @t280 () (_ tptp.ord_less_nat @t279)) % 0.48/0.96 (define @t281 () (_ tptp.member_nat @t279)) % 0.48/0.96 (define @t282 () (_ @t281 @t210)) % 0.48/0.96 (define @t283 () (@list @t279)) % 0.48/0.96 (define @t284 () (@list @t179 @t2 @t210)) % 0.48/0.96 (define @t285 () (@list @t177 @t12 @t210)) % 0.48/0.96 (define @t286 () (_ @t39 @t279)) % 0.48/0.96 (define @t287 () (_ @t280 @t41)) % 0.48/0.96 (define @t288 () (@list @t228 @t37 @t210)) % 0.48/0.96 (define @t289 () (_ @t30 @t279)) % 0.48/0.96 (define @t290 () (_ @t280 @t32)) % 0.48/0.96 (define @t291 () (@list @t175 @t28 @t210)) % 0.48/0.96 (define @t292 () (_ @t21 @t279)) % 0.48/0.96 (define @t293 () (_ @t280 @t23)) % 0.48/0.96 (define @t294 () (@list @t186 @t19 @t210)) % 0.48/0.96 (define @t295 () (_ tptp.butlast_list_nat @t2)) % 0.48/0.96 (define @t296 () (@list @t168 @t2)) % 0.48/0.96 (define @t297 () (_ tptp.butlast_list_list_a @t12)) % 0.48/0.96 (define @t298 () (@list @t168 @t12)) % 0.48/0.96 (define @t299 () (_ tptp.butlast_a @t37)) % 0.48/0.96 (define @t300 () (@list @t168 @t37)) % 0.48/0.96 (define @t301 () (_ tptp.butlast_list_a @t28)) % 0.48/0.96 (define @t302 () (@list @t168 @t28)) % 0.48/0.96 (define @t303 () (_ tptp.butlast_nat @t19)) % 0.48/0.96 (define @t304 () (@list @t168 @t19)) % 0.48/0.96 (define @t305 () (_ tptp.member_list_nat @t217)) % 0.48/0.96 (define @t306 () (_ tptp.member_list_list_a @t224)) % 0.48/0.96 (define @t307 () (_ tptp.member_a @t232)) % 0.48/0.96 (define @t308 () (_ tptp.member_list_a @t239)) % 0.48/0.96 (define @t309 () (_ tptp.member_nat @t246)) % 0.48/0.96 (define @t310 () (_ tptp.ord_less_nat @t200)) % 0.48/0.96 (define @t311 () (_ @t310 @t6)) % 0.48/0.96 (define @t312 () (_ (_ tptp.member_nat @t200) @t210)) % 0.48/0.96 (define @t313 () (_ @t5 @t200)) % 0.48/0.96 (define @t314 () (= @t179 @t313)) % 0.48/0.96 (define @t315 () (_ @t310 @t15)) % 0.48/0.96 (define @t316 () (_ @t14 @t200)) % 0.48/0.96 (define @t317 () (= @t177 @t316)) % 0.48/0.96 (define @t318 () (_ @t310 @t41)) % 0.48/0.96 (define @t319 () (_ @t39 @t200)) % 0.48/0.96 (define @t320 () (= @t228 @t319)) % 0.48/0.96 (define @t321 () (_ @t310 @t32)) % 0.48/0.96 (define @t322 () (_ @t30 @t200)) % 0.48/0.96 (define @t323 () (= @t175 @t322)) % 0.48/0.96 (define @t324 () (_ @t310 @t23)) % 0.48/0.96 (define @t325 () (_ @t21 @t200)) % 0.48/0.96 (define @t326 () (= @t186 @t325)) % 0.48/0.96 (define @t327 () (_ tptp.list_update_nat @t275)) % 0.48/0.96 (define @t328 () (_ tptp.list_update_list_a @t269)) % 0.48/0.96 (define @t329 () (@var "Y2" tptp.a)) % 0.48/0.96 (define @t330 () (_ tptp.list_update_a @t263)) % 0.48/0.96 (define @t331 () (@list @t37 @t249 @t228)) % 0.48/0.96 (define @t332 () (@list @t28 @t249 @t175)) % 0.48/0.96 (define @t333 () (@list @t19 @t249 @t186)) % 0.48/0.96 (define @t334 () (_ @t5 @t249)) % 0.48/0.96 (define @t335 () (_ @t14 @t249)) % 0.48/0.96 (define @t336 () (_ @t30 @t249)) % 0.48/0.96 (define @t337 () (_ @t39 @t249)) % 0.48/0.96 (define @t338 () (_ @t21 @t249)) % 0.48/0.96 (define @t339 () (@var "J2" tptp.nat)) % 0.48/0.96 (define @t340 () (_ @t5 @t339)) % 0.48/0.96 (define @t341 () (_ @t252 @t339)) % 0.48/0.96 (define @t342 () (= @t249 @t339)) % 0.48/0.96 (define @t343 () (not @t342)) % 0.48/0.96 (define @t344 () (=> @t343 (= @t341 @t340))) % 0.48/0.96 (define @t345 () (_ @t14 @t339)) % 0.48/0.96 (define @t346 () (_ @t258 @t339)) % 0.48/0.96 (define @t347 () (=> @t343 (= @t346 @t345))) % 0.48/0.96 (define @t348 () (_ @t30 @t339)) % 0.48/0.96 (define @t349 () (_ @t270 @t339)) % 0.48/0.96 (define @t350 () (=> @t343 (= @t349 @t348))) % 0.48/0.96 (define @t351 () (_ @t39 @t339)) % 0.48/0.96 (define @t352 () (_ @t264 @t339)) % 0.48/0.96 (define @t353 () (=> @t343 (= @t352 @t351))) % 0.48/0.96 (define @t354 () (_ @t21 @t339)) % 0.48/0.96 (define @t355 () (_ @t276 @t339)) % 0.48/0.96 (define @t356 () (=> @t343 (= @t355 @t354))) % 0.48/0.96 (define @t357 () (@var "X4" tptp.nat)) % 0.48/0.96 (define @t358 () (@var "I4" tptp.nat)) % 0.48/0.96 (define @t359 () (not (= @t249 @t358))) % 0.48/0.96 (define @t360 () (@var "X4" tptp.list_a)) % 0.48/0.96 (define @t361 () (@var "X4" tptp.a)) % 0.48/0.96 (define @t362 () (_ tptp.listSl1495374126_aux_a @t37)) % 0.48/0.96 (define @t363 () (_ @t362 @t51)) % 0.48/0.96 (define @t364 () (= @t263 @t37)) % 0.48/0.96 (define @t365 () (= @t269 @t28)) % 0.48/0.96 (define @t366 () (= @t275 @t19)) % 0.48/0.96 (define @t367 () (_ (_ (_ tptp.list_update_list_nat (_ @t250 @t340)) @t339) @t334)) % 0.48/0.96 (define @t368 () (_ tptp.ord_less_nat @t339)) % 0.48/0.96 (define @t369 () (_ @t368 @t6)) % 0.48/0.96 (define @t370 () (@list @t249 @t2 @t339)) % 0.48/0.96 (define @t371 () (_ (_ (_ tptp.list_u1330012152list_a (_ @t256 @t345)) @t339) @t335)) % 0.48/0.96 (define @t372 () (_ @t368 @t15)) % 0.48/0.96 (define @t373 () (@list @t249 @t12 @t339)) % 0.48/0.96 (define @t374 () (_ tptp.set_a2 @t37)) % 0.48/0.96 (define @t375 () (_ (_ (_ tptp.list_update_a (_ @t262 @t351)) @t339) @t337)) % 0.48/0.96 (define @t376 () (_ @t368 @t41)) % 0.48/0.96 (define @t377 () (@list @t249 @t37 @t339)) % 0.48/0.96 (define @t378 () (_ tptp.set_list_a2 @t28)) % 0.48/0.96 (define @t379 () (_ (_ (_ tptp.list_update_list_a (_ @t268 @t348)) @t339) @t336)) % 0.48/0.96 (define @t380 () (_ @t368 @t32)) % 0.48/0.96 (define @t381 () (@list @t249 @t28 @t339)) % 0.48/0.96 (define @t382 () (_ tptp.set_nat2 @t19)) % 0.48/0.96 (define @t383 () (_ (_ (_ tptp.list_update_nat (_ @t274 @t354)) @t339) @t338)) % 0.48/0.96 (define @t384 () (_ @t368 @t23)) % 0.48/0.96 (define @t385 () (@list @t249 @t19 @t339)) % 0.48/0.96 (define @t386 () (@var "A2" tptp.nat)) % 0.48/0.96 (define @t387 () (_ @t196 @t386)) % 0.48/0.96 (define @t388 () (@var "A2" tptp.list_a)) % 0.48/0.96 (define @t389 () (@var "A2" tptp.a)) % 0.48/0.96 (define @t390 () (@var "P" (-> tptp.a Bool))) % 0.48/0.96 (define @t391 () (@var "A" tptp.set_list_a)) % 0.48/0.96 (define @t392 () (@var "X3" tptp.list_a)) % 0.48/0.96 (define @t393 () (_ tptp.member_list_a @t392)) % 0.48/0.96 (define @t394 () (@list @t392)) % 0.48/0.96 (define @t395 () (@var "A" tptp.set_a)) % 0.48/0.96 (define @t396 () (@var "X3" tptp.a)) % 0.48/0.96 (define @t397 () (_ tptp.member_a @t396)) % 0.48/0.96 (define @t398 () (@list @t396)) % 0.48/0.96 (define @t399 () (_ tptp.distinct_a @t37)) % 0.48/0.96 (define @t400 () (_ tptp.distinct_list_a @t28)) % 0.48/0.96 (define @t401 () (_ tptp.distinct_nat @t19)) % 0.48/0.96 (define @t402 () (_ @t211 tptp.top_top_set_nat)) % 0.48/0.96 (define @t403 () (_ @t213 @t402)) % 0.48/0.96 (define @t404 () (_ @t219 tptp.top_top_set_nat)) % 0.48/0.96 (define @t405 () (_ @t221 @t404)) % 0.48/0.96 (define @t406 () (_ @t226 tptp.top_top_set_nat)) % 0.48/0.96 (define @t407 () (_ @t229 @t406)) % 0.48/0.96 (define @t408 () (@list @t228 @t37)) % 0.48/0.96 (define @t409 () (_ @t234 tptp.top_top_set_nat)) % 0.48/0.96 (define @t410 () (_ @t236 @t409)) % 0.48/0.96 (define @t411 () (@list @t175 @t28)) % 0.48/0.96 (define @t412 () (_ @t241 tptp.top_top_set_nat)) % 0.48/0.96 (define @t413 () (_ @t243 @t412)) % 0.48/0.96 (define @t414 () (@list @t186 @t19)) % 0.48/0.96 (define @t415 () (@var "B" tptp.set_list_nat)) % 0.48/0.96 (define @t416 () (@var "B" tptp.set_list_list_a)) % 0.48/0.96 (define @t417 () (@var "B" tptp.set_a)) % 0.48/0.96 (define @t418 () (_ (_ tptp.ord_less_eq_set_a @t227) @t417)) % 0.48/0.96 (define @t419 () (@var "B" tptp.set_list_a)) % 0.48/0.96 (define @t420 () (_ (_ tptp.ord_le1301786372list_a @t235) @t419)) % 0.48/0.96 (define @t421 () (@var "B" tptp.set_nat)) % 0.48/0.96 (define @t422 () (_ (_ tptp.ord_less_eq_set_nat @t242) @t421)) % 0.48/0.96 (define @t423 () (@var "F" (-> tptp.nat tptp.nat))) % 0.48/0.96 (define @t424 () (_ tptp.ord_less_eq_nat @t249)) % 0.48/0.96 (define @t425 () (_ @t424 @t339)) % 0.48/0.96 (define @t426 () (@var "J3" tptp.nat)) % 0.48/0.96 (define @t427 () (_ (_ tptp.ord_less_eq_nat @t107) @t168)) % 0.48/0.96 (define @t428 () (@var "N3" tptp.nat)) % 0.48/0.96 (define @t429 () (@var "M3" tptp.nat)) % 0.48/0.96 (define @t430 () (= @t429 @t428)) % 0.48/0.96 (define @t431 () (@list @t429 @t428)) % 0.48/0.96 (define @t432 () (@var "X5" tptp.nat)) % 0.48/0.96 (define @t433 () (@var "Y3" tptp.nat)) % 0.48/0.96 (define @t434 () (= @t433 @t432)) % 0.48/0.96 (define @t435 () (_ tptp.ord_less_nat @t433)) % 0.48/0.96 (define @t436 () (@list @t433)) % 0.48/0.96 (define @t437 () (_ tptp.ord_less_nat @t432)) % 0.48/0.96 (define @t438 () (@list @t432)) % 0.48/0.96 (define @t439 () (_ @t229 @t374)) % 0.48/0.96 (define @t440 () (_ @t236 @t378)) % 0.48/0.96 (define @t441 () (_ @t243 @t382)) % 0.48/0.96 (define @t442 () (@var "J4" tptp.nat)) % 0.48/0.96 (define @t443 () (@var "I5" tptp.nat)) % 0.48/0.96 (define @t444 () (@list @t443)) % 0.48/0.96 (define @t445 () (@var "J" tptp.nat)) % 0.48/0.96 (define @t446 () (_ @t65 @t445)) % 0.48/0.96 (define @t447 () (_ (_ tptp.ord_less_eq_nat @t66) @t446)) % 0.48/0.96 (define @t448 () (_ (_ tptp.ord_less_eq_nat @t45) @t445)) % 0.48/0.96 (define @t449 () (_ tptp.ord_less_nat @t445)) % 0.48/0.96 (define @t450 () (_ @t449 @t69)) % 0.48/0.96 (define @t451 () (@list @t445)) % 0.48/0.96 (define @t452 () (_ (_ tptp.ord_less_eq_nat @t446) @t66)) % 0.48/0.96 (define @t453 () (_ @t39 @t45)) % 0.48/0.96 (define @t454 () (_ @t52 @t41)) % 0.48/0.96 (define @t455 () (_ @t30 @t45)) % 0.48/0.96 (define @t456 () (_ @t52 @t32)) % 0.48/0.96 (define @t457 () (_ @t21 @t45)) % 0.48/0.96 (define @t458 () (_ @t52 @t23)) % 0.48/0.96 (define @t459 () (@var "X5" tptp.a)) % 0.48/0.96 (define @t460 () (@var "X5" tptp.list_a)) % 0.48/0.96 (define @t461 () (_ @t196 @t432)) % 0.48/0.96 (define @t462 () (_ tptp.ord_less_eq_nat @t186)) % 0.48/0.96 (define @t463 () (@list @t186)) % 0.48/0.96 (define @t464 () (_ @t196 @t433)) % 0.48/0.96 (define @t465 () (@var "B2" tptp.nat)) % 0.48/0.96 (define @t466 () (@var "Y4" tptp.nat)) % 0.48/0.96 (define @t467 () (_ tptp.ord_less_eq_nat @t168)) % 0.48/0.96 (define @t468 () (_ @t467 @t107)) % 0.48/0.96 (define @t469 () (= @t386 @t465)) % 0.48/0.96 (define @t470 () (_ tptp.ord_less_eq_nat @t386)) % 0.48/0.96 (define @t471 () (_ @t470 @t465)) % 0.48/0.96 (define @t472 () (_ tptp.ord_less_eq_nat @t465)) % 0.48/0.96 (define @t473 () (_ @t472 @t386)) % 0.48/0.96 (define @t474 () (@list @t465 @t386)) % 0.48/0.96 (define @t475 () (@var "B3" tptp.nat)) % 0.48/0.96 (define @t476 () (@var "A3" tptp.nat)) % 0.48/0.96 (define @t477 () (_ (_ tptp.ord_less_eq_nat @t476) @t475)) % 0.48/0.96 (define @t478 () (_ (_ tptp.ord_less_eq_nat @t475) @t476)) % 0.48/0.96 (define @t479 () (@list @t476 @t475)) % 0.48/0.96 (define @t480 () (@var "Z" tptp.nat)) % 0.48/0.96 (define @t481 () (@var "Y" tptp.nat)) % 0.48/0.96 (define @t482 () (lambda (@list @t481 @t480) (= @t481 @t480))) % 0.48/0.96 (define @t483 () (@var "C" tptp.nat)) % 0.48/0.96 (define @t484 () (_ tptp.ord_less_eq_nat @t483)) % 0.48/0.96 (define @t485 () (_ @t484 @t465)) % 0.48/0.96 (define @t486 () (@list @t465 @t386 @t483)) % 0.48/0.96 (define @t487 () (@var "B4" tptp.nat)) % 0.48/0.96 (define @t488 () (@var "A4" tptp.nat)) % 0.48/0.96 (define @t489 () (_ @t67 @t488)) % 0.48/0.96 (define @t490 () (_ @t489 @t487)) % 0.48/0.96 (define @t491 () (@list @t488 @t487)) % 0.48/0.96 (define @t492 () (=> (forall @t491 (=> (_ (_ @t67 @t487) @t488) @t490)) (_ (_ @t67 @t386) @t465))) % 0.48/0.96 (define @t493 () (@list @t67 @t386 @t465)) % 0.48/0.96 (define @t494 () (@list @t386)) % 0.48/0.96 (define @t495 () (@var "Z2" tptp.nat)) % 0.48/0.96 (define @t496 () (_ @t462 @t495)) % 0.48/0.96 (define @t497 () (_ tptp.ord_less_eq_nat @t187)) % 0.48/0.96 (define @t498 () (_ @t497 @t495)) % 0.48/0.96 (define @t499 () (_ @t462 @t187)) % 0.48/0.96 (define @t500 () (@list @t186 @t187 @t495)) % 0.48/0.96 (define @t501 () (@list @t386 @t465)) % 0.48/0.96 (define @t502 () (_ @t470 @t483)) % 0.48/0.96 (define @t503 () (= @t465 @t483)) % 0.48/0.96 (define @t504 () (@list @t386 @t465 @t483)) % 0.48/0.96 (define @t505 () (_ @t472 @t483)) % 0.48/0.96 (define @t506 () (=> @t505 @t502)) % 0.48/0.96 (define @t507 () (= @t499 @t193)) % 0.48/0.96 (define @t508 () (_ @t497 @t186)) % 0.48/0.96 (define @t509 () (@list @t187 @t186)) % 0.48/0.96 (define @t510 () (not @t499)) % 0.48/0.96 (define @t511 () (_ tptp.ord_less_eq_nat @t495)) % 0.48/0.96 (define @t512 () (_ @t511 @t186)) % 0.48/0.96 (define @t513 () (not @t508)) % 0.48/0.96 (define @t514 () (_ @t511 @t187)) % 0.48/0.96 (define @t515 () (@var "Y5" tptp.nat)) % 0.48/0.96 (define @t516 () (_ (_ tptp.ord_less_eq_nat @t515) @t279)) % 0.48/0.96 (define @t517 () (_ (_ tptp.ord_less_eq_nat @t279) @t515)) % 0.48/0.96 (define @t518 () (@list @t279 @t515)) % 0.48/0.96 (define @t519 () (_ @t423 @t386)) % 0.48/0.96 (define @t520 () (_ @t423 @t466)) % 0.48/0.96 (define @t521 () (_ @t423 @t432)) % 0.48/0.96 (define @t522 () (@list @t432 @t466)) % 0.48/0.96 (define @t523 () (forall @t522 (=> (_ (_ tptp.ord_less_eq_nat @t432) @t466) (_ (_ tptp.ord_less_eq_nat @t521) @t520)))) % 0.48/0.96 (define @t524 () (=> @t523 (_ (_ tptp.ord_less_eq_nat @t519) @t483))) % 0.48/0.96 (define @t525 () (_ @t423 @t465)) % 0.48/0.96 (define @t526 () (= @t525 @t483)) % 0.48/0.96 (define @t527 () (@list @t386 @t465 @t423 @t483)) % 0.48/0.96 (define @t528 () (_ @t423 @t483)) % 0.48/0.96 (define @t529 () (=> @t505 (=> @t523 (_ @t470 @t528)))) % 0.48/0.96 (define @t530 () (= @t386 @t525)) % 0.48/0.96 (define @t531 () (@list @t386 @t423 @t465 @t483)) % 0.48/0.96 (define @t532 () (_ (_ tptp.ord_less_eq_nat @t525) @t483)) % 0.48/0.96 (define @t533 () (_ @t470 @t525)) % 0.48/0.96 (define @t534 () (_ tptp.ord_less_nat @t386)) % 0.48/0.96 (define @t535 () (_ @t534 @t528)) % 0.48/0.96 (define @t536 () (forall @t522 (=> (_ @t437 @t466) (_ (_ tptp.ord_less_nat @t521) @t520)))) % 0.48/0.96 (define @t537 () (_ tptp.ord_less_nat @t465)) % 0.48/0.96 (define @t538 () (_ @t537 @t483)) % 0.48/0.96 (define @t539 () (=> @t538 (=> @t536 @t535))) % 0.48/0.96 (define @t540 () (_ (_ tptp.ord_less_nat @t519) @t483)) % 0.48/0.96 (define @t541 () (=> @t536 @t540)) % 0.48/0.96 (define @t542 () (_ @t534 @t465)) % 0.48/0.96 (define @t543 () (_ @t534 @t525)) % 0.48/0.96 (define @t544 () (_ (_ tptp.ord_less_nat @t525) @t483)) % 0.48/0.96 (define @t545 () (@var "X_1" tptp.nat)) % 0.48/0.96 (define @t546 () (_ @t537 @t386)) % 0.48/0.96 (define @t547 () (not @t189)) % 0.48/0.96 (define @t548 () (_ @t190 @t495)) % 0.48/0.96 (define @t549 () (=> (_ @t188 @t495) @t548)) % 0.48/0.96 (define @t550 () (_ @t534 @t483)) % 0.48/0.96 (define @t551 () (=> @t538 @t550)) % 0.48/0.96 (define @t552 () (= @t192 @t193)) % 0.48/0.96 (define @t553 () (@var "P" Bool)) % 0.48/0.96 (define @t554 () (@var "P2" (-> tptp.nat Bool))) % 0.48/0.96 (define @t555 () (_ (_ tptp.ord_less_nat @t429) @t428)) % 0.48/0.96 (define @t556 () (@list @t428)) % 0.48/0.96 (define @t557 () (@var "P3" (-> tptp.nat Bool))) % 0.48/0.96 (define @t558 () (_ tptp.ord_less_nat @t483)) % 0.48/0.96 (define @t559 () (_ @t558 @t386)) % 0.48/0.96 (define @t560 () (=> (_ @t558 @t465) @t559)) % 0.48/0.96 (define @t561 () (not @t469)) % 0.48/0.96 (define @t562 () (= @t476 @t475)) % 0.48/0.96 (define @t563 () (not @t562)) % 0.48/0.96 (define @t564 () (@list @t475 @t476)) % 0.48/0.96 (define @t565 () (_ tptp.ord_less_nat @t476)) % 0.48/0.96 (define @t566 () (= @t279 @t515)) % 0.48/0.96 (define @t567 () (_ tptp.divide_divide_nat @t168)) % 0.48/0.96 (define @t568 () (_ tptp.divide_divide_nat @t107)) % 0.48/0.96 (define @t569 () (@var "K3" tptp.nat)) % 0.48/0.96 (define @t570 () (_ @t196 @t569)) % 0.48/0.96 (define @t571 () (@list @t569)) % 0.48/0.96 (define @t572 () (@var "X6" tptp.nat)) % 0.48/0.96 (define @t573 () (_ (_ tptp.ord_less_eq_nat @t206) @t572)) % 0.48/0.96 (define @t574 () (@var "Z3" tptp.nat)) % 0.48/0.96 (define @t575 () (_ tptp.ord_less_nat @t572)) % 0.48/0.96 (define @t576 () (_ @t575 @t574)) % 0.48/0.96 (define @t577 () (@list @t572)) % 0.48/0.96 (define @t578 () (@list @t574)) % 0.48/0.96 (define @t579 () (@list @t206)) % 0.48/0.96 (define @t580 () (_ (_ tptp.ord_less_nat @t206) @t572)) % 0.48/0.96 (define @t581 () (_ @t575 @t206)) % 0.48/0.96 (define @t582 () (not (= @t572 @t206))) % 0.48/0.96 (define @t583 () (@var "Q2" (-> tptp.nat Bool))) % 0.48/0.96 (define @t584 () (_ @t583 @t572)) % 0.48/0.96 (define @t585 () (@var "P4" (-> tptp.nat Bool))) % 0.48/0.96 (define @t586 () (_ @t585 @t572)) % 0.48/0.96 (define @t587 () (@var "Q" (-> tptp.nat Bool))) % 0.48/0.96 (define @t588 () (_ @t587 @t572)) % 0.48/0.96 (define @t589 () (_ @t196 @t572)) % 0.48/0.96 (define @t590 () (= (or @t589 @t588) (or @t586 @t584))) % 0.48/0.96 (define @t591 () (= (_ @t587 @t432) (_ @t583 @t432))) % 0.48/0.96 (define @t592 () (@var "Z4" tptp.nat)) % 0.48/0.96 (define @t593 () (_ @t437 @t592)) % 0.48/0.96 (define @t594 () (@list @t592)) % 0.48/0.96 (define @t595 () (exists @t594 (forall @t438 (=> @t593 @t591)))) % 0.48/0.96 (define @t596 () (= @t461 (_ @t585 @t432))) % 0.48/0.96 (define @t597 () (exists @t594 (forall @t438 (=> @t593 @t596)))) % 0.48/0.96 (define @t598 () (@list @t196 @t585 @t587 @t583)) % 0.48/0.96 (define @t599 () (= (and @t589 @t588) (and @t586 @t584))) % 0.48/0.96 (define @t600 () (_ (_ tptp.ord_less_nat @t574) @t572)) % 0.48/0.96 (define @t601 () (_ (_ tptp.ord_less_nat @t592) @t432)) % 0.48/0.96 (define @t602 () (exists @t594 (forall @t438 (=> @t601 @t591)))) % 0.48/0.96 (define @t603 () (exists @t594 (forall @t438 (=> @t601 @t596)))) % 0.48/0.96 (define @t604 () (_ (_ tptp.ord_less_eq_nat @t572) @t206)) % 0.48/0.96 (define @t605 () (@var "C2" tptp.nat)) % 0.48/0.96 (define @t606 () (@var "D" tptp.nat)) % 0.48/0.96 (define @t607 () (not (= @t428 @t279))) % 0.48/0.96 (define @t608 () (_ tptp.size_size_list_a tptp.xs)) % 0.48/0.96 (define @t609 () (_ (_ tptp.divide_divide_nat @t608) tptp.k)) % 0.48/0.96 (define @t610 () (_ tptp.ord_less_nat tptp.m)) % 0.48/0.96 (define @t611 () (_ @t610 @t609)) % 0.48/0.96 (define @t612 () (_ (_ tptp.listSl1174287072ice2_a tptp.xs) tptp.k)) % 0.48/0.96 (define @t613 () (_ (_ tptp.nth_list_a @t612) tptp.m)) % 0.48/0.96 (define @t614 () (_ tptp.size_size_list_a @t613)) % 0.48/0.96 (define @t615 () (not (= @t614 tptp.k))) % 0.48/0.96 (define @t616 () (_ @t52 @t445)) % 0.48/0.96 (define @t617 () (lambda @t70 (forall @t451 (=> @t450 (forall @t54 (=> @t616 (_ (_ tptp.ord_less_nat @t446) @t66))))))) % 0.48/0.96 (define @t618 () (lambda @t70 (forall @t451 (=> @t450 (forall @t54 (=> @t616 (_ (_ tptp.ord_less_nat @t66) @t446))))))) % 0.48/0.96 (define @t619 () (@var "K2" tptp.nat)) % 0.48/0.96 (define @t620 () (lambda (@list @t46 @t619) (_ (_ (_ tptp.listSl1506485424st_nat @t46) @t619) (_ (_ tptp.divide_divide_nat @t55) @t619)))) % 0.48/0.96 (define @t621 () (lambda (@list @t57 @t619) (_ (_ (_ tptp.listSl902632890list_a @t57) @t619) (_ (_ tptp.divide_divide_nat @t62) @t619)))) % 0.48/0.96 (define @t622 () (lambda (@list @t73 @t619) (_ (_ (_ tptp.listSl856612276list_a @t73) @t619) (_ (_ tptp.divide_divide_nat @t78) @t619)))) % 0.48/0.96 (define @t623 () (lambda (@list @t64 @t619) (_ (_ (_ tptp.listSl1794011552ux_nat @t64) @t619) (_ (_ tptp.divide_divide_nat @t69) @t619)))) % 0.48/0.96 (define @t624 () (lambda (@list @t81 @t619) (_ (_ (_ tptp.listSl1495374126_aux_a @t81) @t619) (_ (_ tptp.divide_divide_nat @t86) @t619)))) % 0.48/0.96 (define @t625 () (@var "P2" (-> tptp.list_nat Bool))) % 0.48/0.96 (define @t626 () (_ tptp.ord_less_nat @t428)) % 0.48/0.96 (define @t627 () (lambda (@list @t625 @t46) (exists @t556 (and (_ @t626 @t55) (_ @t625 (_ @t47 @t428)))))) % 0.48/0.96 (define @t628 () (@var "P2" (-> tptp.list_list_a Bool))) % 0.48/0.96 (define @t629 () (lambda (@list @t628 @t57) (exists @t556 (and (_ @t626 @t62) (_ @t628 (_ @t58 @t428)))))) % 0.48/0.96 (define @t630 () (@var "P2" (-> tptp.a Bool))) % 0.48/0.96 (define @t631 () (lambda (@list @t630 @t81) (exists @t556 (and (_ @t626 @t86) (_ @t630 (_ @t82 @t428)))))) % 0.48/0.96 (define @t632 () (@var "P2" (-> tptp.list_a Bool))) % 0.48/0.96 (define @t633 () (lambda (@list @t632 @t73) (exists @t556 (and (_ @t626 @t78) (_ @t632 (_ @t74 @t428)))))) % 0.48/0.96 (define @t634 () (lambda (@list @t554 @t64) (exists @t556 (and (_ @t626 @t69) (_ @t554 (_ @t65 @t428)))))) % 0.48/0.96 (define @t635 () (@var "Xs2" tptp.list_set_nat)) % 0.48/0.96 (define @t636 () (_ tptp.nth_set_nat @t635)) % 0.48/0.96 (define @t637 () (_ @t636 @t45)) % 0.48/0.96 (define @t638 () (_ @t636 @t445)) % 0.48/0.96 (define @t639 () (_ @t449 (_ tptp.size_s577819178et_nat @t635))) % 0.48/0.96 (define @t640 () (@list @t635)) % 0.48/0.96 (define @t641 () (lambda @t640 (forall @t451 (=> @t639 (forall @t54 (=> @t616 (_ (_ tptp.ord_less_eq_set_nat @t638) @t637))))))) % 0.48/0.96 (define @t642 () (@var "Xs2" tptp.list_set_list_a)) % 0.48/0.96 (define @t643 () (_ tptp.nth_set_list_a @t642)) % 0.48/0.96 (define @t644 () (_ @t643 @t45)) % 0.48/0.96 (define @t645 () (_ @t643 @t445)) % 0.48/0.96 (define @t646 () (_ @t449 (_ tptp.size_s1635937238list_a @t642))) % 0.48/0.96 (define @t647 () (@list @t642)) % 0.48/0.96 (define @t648 () (lambda @t647 (forall @t451 (=> @t646 (forall @t54 (=> @t616 (_ (_ tptp.ord_le1301786372list_a @t645) @t644))))))) % 0.48/0.96 (define @t649 () (@var "Xs2" tptp.list_set_a)) % 0.48/0.96 (define @t650 () (_ tptp.nth_set_a @t649)) % 0.48/0.96 (define @t651 () (_ @t650 @t45)) % 0.48/0.96 (define @t652 () (_ @t650 @t445)) % 0.48/0.96 (define @t653 () (_ @t449 (_ tptp.size_size_list_set_a @t649))) % 0.48/0.96 (define @t654 () (@list @t649)) % 0.48/0.96 (define @t655 () (lambda @t654 (forall @t451 (=> @t653 (forall @t54 (=> @t616 (_ (_ tptp.ord_less_eq_set_a @t652) @t651))))))) % 0.48/0.96 (define @t656 () (lambda @t70 (forall @t451 (=> @t450 (forall @t54 (=> @t616 @t452)))))) % 0.48/0.96 (define @t657 () (lambda @t640 (forall @t451 (=> @t639 (forall @t54 (=> @t616 (_ (_ tptp.ord_less_eq_set_nat @t637) @t638))))))) % 0.48/0.96 (define @t658 () (lambda @t647 (forall @t451 (=> @t646 (forall @t54 (=> @t616 (_ (_ tptp.ord_le1301786372list_a @t644) @t645))))))) % 0.48/0.96 (define @t659 () (lambda @t654 (forall @t451 (=> @t653 (forall @t54 (=> @t616 (_ (_ tptp.ord_less_eq_set_a @t651) @t652))))))) % 0.48/0.96 (define @t660 () (lambda @t70 (forall @t451 (=> @t450 (forall @t54 (=> @t616 @t447)))))) % 0.48/0.96 (define @t661 () (lambda @t431 (or @t555 @t430))) % 0.48/0.96 (define @t662 () (not (= @t45 @t445))) % 0.48/0.96 (define @t663 () (lambda @t87 (forall @t54 (=> @t104 (forall @t451 (=> (_ @t449 @t86) (=> @t662 (not (= @t83 (_ @t82 @t445)))))))))) % 0.48/0.96 (define @t664 () (lambda @t79 (forall @t54 (=> @t100 (forall @t451 (=> (_ @t449 @t78) (=> @t662 (not (= @t75 (_ @t74 @t445)))))))))) % 0.48/0.96 (define @t665 () (lambda @t70 (forall @t54 (=> @t96 (forall @t451 (=> @t450 (=> @t662 (not (= @t66 @t446))))))))) % 0.48/0.96 (define @t666 () (tptp.listSl1174287072ice2_a tptp.xs tptp.k)) % 0.48/0.96 (define @t667 () (tptp.nth_list_a @t666 tptp.m)) % 0.48/0.96 (define @t668 () (tptp.size_size_list_a @t667)) % 0.48/0.96 (define @t669 () (= tptp.k @t614)) % 0.48/0.96 (define @t670 () (_ @t363 @t135)) % 0.48/0.96 (define @t671 () (tptp.size_size_list_a @t37)) % 0.48/0.96 (define @t672 () (tptp.divide_divide_nat @t671 @t51)) % 0.48/0.96 (define @t673 () (tptp.listSl1495374126_aux_a @t37 @t51 @t672)) % 0.48/0.96 (define @t674 () (tptp.nth_list_a @t673 @t107)) % 0.48/0.96 (define @t675 () (_ (_ tptp.nth_list_a @t670) @t107)) % 0.48/0.96 (define @t676 () (tptp.listSl1174287072ice2_a @t37 @t51)) % 0.48/0.96 (define @t677 () (tptp.nth_list_a @t676 @t107)) % 0.48/0.96 (define @t678 () (= @t132 @t675)) % 0.48/0.96 (define @t679 () (tptp.ord_less_nat @t107 @t672)) % 0.48/0.96 (define @t680 () (not @t136)) % 0.48/0.96 (define @t681 () (or @t680 @t678)) % 0.48/0.96 (define @t682 () (lambda (@list @t619) (_ (_ @t362 @t619) (_ @t134 @t619)))) % 0.48/0.96 (define @t683 () (_ @t624 @t37)) % 0.48/0.96 (define @t684 () (_ (_ tptp.nth_list_a (_ @t683 @t51)) @t107)) % 0.48/0.96 (define @t685 () (= @t132 @t684)) % 0.48/0.96 (define @t686 () (=> @t136 @t685)) % 0.48/0.96 (define @t687 () (@list tptp.m tptp.xs tptp.k)) % 0.48/0.96 (define @t688 () (tptp.size_size_list_a tptp.xs)) % 0.48/0.96 (define @t689 () (tptp.divide_divide_nat @t688 tptp.k)) % 0.48/0.96 (define @t690 () (tptp.ord_less_nat tptp.m @t689)) % 0.48/0.96 (define @t691 () (tptp.nth_list_a (tptp.listSl1495374126_aux_a tptp.xs tptp.k @t689) tptp.m)) % 0.48/0.96 (define @t692 () (= @t667 @t691)) % 0.48/0.96 (define @t693 () (not @t690)) % 0.48/0.96 (define @t694 () (or @t693 @t692)) % 0.48/0.96 (define @t695 () (@list false false)) % 0.48/0.96 (define @t696 () (tptp.size_size_list_a @t674)) % 0.48/0.96 (define @t697 () (_ tptp.size_size_list_a @t675)) % 0.48/0.96 (define @t698 () (= @t51 @t697)) % 0.48/0.96 (define @t699 () (or @t680 @t698)) % 0.48/0.96 (define @t700 () (= (_ tptp.size_size_list_a @t684) @t51)) % 0.48/0.96 (define @t701 () (=> @t136 @t700)) % 0.48/0.96 (define @t702 () (tptp.size_size_list_a @t691)) % 0.48/0.96 (define @t703 () (= tptp.k @t702)) % 0.48/0.96 (define @t704 () (or @t693 @t703)) % 0.48/0.96 (define @t705 () (not @t703)) % 0.48/0.96 (define @t706 () (not @t692)) % 0.48/0.96 (define @t707 () (= tptp.k @t668)) % 0.48/0.96 (define @t708 () (not @t707)) % 0.48/0.96 (define @t709 () (and @t708 @t692)) % 0.48/0.96 (assume @p1 (forall @t10 (=> @t9 (=> (forall @t8 (=> (_ @t7 @t6) (= (_ @t5 @t4) (_ (_ tptp.nth_list_nat @t1) @t4)))) @t3)))) % 0.48/0.96 (assume @p2 (forall @t17 (=> @t16 (=> (forall @t8 (=> (_ @t7 @t15) (= (_ @t14 @t4) (_ (_ tptp.nth_list_list_a @t11) @t4)))) @t13)))) % 0.48/0.96 (assume @p3 (forall @t26 (=> @t25 (=> (forall @t8 (=> @t24 (= @t22 (_ (_ tptp.nth_nat @t18) @t4)))) @t20)))) % 0.48/0.96 (assume @p4 (forall @t35 (=> @t34 (=> (forall @t8 (=> @t33 (= @t31 (_ (_ tptp.nth_list_a @t27) @t4)))) @t29)))) % 0.48/0.96 (assume @p5 (forall @t44 (=> @t43 (=> (forall @t8 (=> @t42 (= @t40 (_ (_ tptp.nth_a @t36) @t4)))) @t38)))) % 0.48/0.96 (assume @p6 (forall (@list @t51 @t49) (= (forall @t54 (=> @t53 (exists (@list @t56) (_ @t50 @t56)))) (exists (@list @t46) (and (= @t55 @t51) (forall @t54 (=> @t53 (_ @t50 @t48)))))))) % 0.48/0.96 (assume @p7 (forall (@list @t51 @t60) (= (forall @t54 (=> @t53 (exists (@list @t63) (_ @t61 @t63)))) (exists (@list @t57) (and (= @t62 @t51) (forall @t54 (=> @t53 (_ @t61 @t59)))))))) % 0.48/0.96 (assume @p8 (forall (@list @t51 @t67) (= (forall @t54 (=> @t53 (exists @t72 (_ @t68 @t71)))) (exists @t70 (and (= @t69 @t51) (forall @t54 (=> @t53 (_ @t68 @t66)))))))) % 0.48/0.96 (assume @p9 (forall (@list @t51 @t76) (= (forall @t54 (=> @t53 (exists (@list @t80) (_ @t77 @t80)))) (exists @t79 (and (= @t78 @t51) (forall @t54 (=> @t53 (_ @t77 @t75)))))))) % 0.48/0.96 (assume @p10 (forall (@list @t51 @t84) (= (forall @t54 (=> @t53 (exists (@list @t88) (_ @t85 @t88)))) (exists @t87 (and (= @t86 @t51) (forall @t54 (=> @t53 (_ @t85 @t83)))))))) % 0.48/0.96 (assume @p11 (= (lambda (@list @t91 @t90) (= @t91 @t90)) (lambda (@list @t46 @t89) (and (= @t55 (_ tptp.size_s1898481668st_nat @t89)) (forall @t54 (=> (_ @t52 @t55) (= @t48 (_ (_ tptp.nth_list_nat @t89) @t45)))))))) % 0.48/0.96 (assume @p12 (= (lambda (@list @t94 @t93) (= @t94 @t93)) (lambda (@list @t57 @t92) (and (= @t62 (_ tptp.size_s575106428list_a @t92)) (forall @t54 (=> (_ @t52 @t62) (= @t59 (_ (_ tptp.nth_list_list_a @t92) @t45)))))))) % 0.48/0.96 (assume @p13 (= (lambda (@list @t98 @t97) (= @t98 @t97)) (lambda (@list @t64 @t95) (and (= @t69 (_ tptp.size_size_list_nat @t95)) (forall @t54 (=> @t96 (= @t66 (_ (_ tptp.nth_nat @t95) @t45)))))))) % 0.48/0.96 (assume @p14 (= (lambda (@list @t102 @t101) (= @t102 @t101)) (lambda (@list @t73 @t99) (and (= @t78 (_ tptp.size_s1427607542list_a @t99)) (forall @t54 (=> @t100 (= @t75 (_ (_ tptp.nth_list_a @t99) @t45)))))))) % 0.48/0.96 (assume @p15 (= (lambda (@list @t106 @t105) (= @t106 @t105)) (lambda (@list @t81 @t103) (and (= @t86 (_ tptp.size_size_list_a @t103)) (forall @t54 (=> @t104 (= @t83 (_ (_ tptp.nth_a @t103) @t45)))))))) % 0.48/0.96 (assume @p16 (forall @t113 (=> @t112 (= (_ (_ tptp.nth_list_list_nat (_ (_ tptp.listSl2099749758st_nat @t2) @t51)) @t107) @t109)))) % 0.48/0.96 (assume @p17 (forall @t118 (=> @t117 (= (_ (_ tptp.nth_list_list_list_a (_ (_ tptp.listSl769338732list_a @t12) @t51)) @t107) @t115)))) % 0.48/0.96 (assume @p18 (forall @t123 (=> @t122 (= (_ (_ tptp.nth_list_list_a (_ (_ tptp.listSl703198822list_a @t28) @t51)) @t107) @t120)))) % 0.48/0.96 (assume @p19 (forall @t128 (=> @t127 (= (_ (_ tptp.nth_list_nat (_ (_ tptp.listSl882585454e2_nat @t19) @t51)) @t107) @t125)))) % 0.48/0.96 (assume @p20 @t139) % 0.48/0.96 (assume @p21 (forall (@list @t140 @t2) (=> (forall @t144 (=> (forall (@list @t142) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1898481668st_nat @t142)) @t143) (_ @t140 @t142))) (_ @t140 @t141))) (_ @t140 @t2)))) % 0.48/0.96 (assume @p22 (forall (@list @t145 @t12) (=> (forall @t149 (=> (forall (@list @t147) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s575106428list_a @t147)) @t148) (_ @t145 @t147))) (_ @t145 @t146))) (_ @t145 @t12)))) % 0.48/0.96 (assume @p23 (forall (@list @t150 @t28) (=> (forall @t154 (=> (forall (@list @t152) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1427607542list_a @t152)) @t153) (_ @t150 @t152))) (_ @t150 @t151))) (_ @t150 @t28)))) % 0.48/0.96 (assume @p24 (forall (@list @t155 @t19) (=> (forall @t159 (=> (forall (@list @t157) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_nat @t157)) @t158) (_ @t155 @t157))) (_ @t155 @t156))) (_ @t155 @t19)))) % 0.48/0.96 (assume @p25 (forall (@list @t160 @t37) (=> (forall @t164 (=> (forall (@list @t162) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t162)) @t163) (_ @t160 @t162))) (_ @t160 @t161))) (_ @t160 @t37)))) % 0.48/0.96 (assume @p26 (forall @t113 (=> @t112 (= (_ tptp.size_s1898481668st_nat @t109) @t51)))) % 0.48/0.96 (assume @p27 (forall @t118 (=> @t117 (= (_ tptp.size_s575106428list_a @t115) @t51)))) % 0.48/0.96 (assume @p28 (forall @t123 (=> @t122 (= (_ tptp.size_s1427607542list_a @t120) @t51)))) % 0.48/0.96 (assume @p29 (forall @t128 (=> @t127 (= (_ tptp.size_size_list_nat @t125) @t51)))) % 0.48/0.96 (assume @p30 @t167) % 0.48/0.96 (assume @p31 (forall @t169 (exists @t144 (= @t143 @t168)))) % 0.48/0.96 (assume @p32 (forall @t169 (exists @t149 (= @t148 @t168)))) % 0.48/0.96 (assume @p33 (forall @t169 (exists @t154 (= @t153 @t168)))) % 0.48/0.96 (assume @p34 (forall @t169 (exists @t159 (= @t158 @t168)))) % 0.48/0.96 (assume @p35 (forall @t169 (exists @t164 (= @t163 @t168)))) % 0.48/0.96 (assume @p36 (forall @t10 (=> (not @t9) (not @t3)))) % 0.48/0.96 (assume @p37 (forall @t17 (=> (not @t16) (not @t13)))) % 0.48/0.96 (assume @p38 (forall @t35 (=> (not @t34) (not @t29)))) % 0.48/0.96 (assume @p39 (forall @t26 (=> (not @t25) (not @t20)))) % 0.48/0.96 (assume @p40 (forall @t44 (=> (not @t43) (not @t38)))) % 0.48/0.96 (assume @p41 (forall (@list @t171 @t170) (=> (not (= (_ tptp.size_s1898481668st_nat @t171) (_ tptp.size_s1898481668st_nat @t170))) (not (= @t171 @t170))))) % 0.48/0.96 (assume @p42 (forall (@list @t173 @t172) (=> (not (= (_ tptp.size_s575106428list_a @t173) (_ tptp.size_s575106428list_a @t172))) (not (= @t173 @t172))))) % 0.48/0.96 (assume @p43 (forall (@list @t175 @t174) (=> (not (= (_ tptp.size_size_list_a @t175) (_ tptp.size_size_list_a @t174))) (not (= @t175 @t174))))) % 0.48/0.96 (assume @p44 (forall (@list @t177 @t176) (=> (not (= (_ tptp.size_s1427607542list_a @t177) (_ tptp.size_s1427607542list_a @t176))) (not (= @t177 @t176))))) % 0.48/0.96 (assume @p45 (forall (@list @t179 @t178) (=> (not (= (_ tptp.size_size_list_nat @t179) (_ tptp.size_size_list_nat @t178))) (not (= @t179 @t178))))) % 0.48/0.96 (assume @p46 (forall @t185 (= @t184 (or @t182 @t181)))) % 0.48/0.96 (assume @p47 (forall (@list @t2 @t51) (= (_ tptp.size_s1321307156st_nat @t108) @t110))) % 0.48/0.96 (assume @p48 (forall (@list @t12 @t51) (= (_ tptp.size_s1764310658list_a @t114) @t116))) % 0.48/0.96 (assume @p49 (forall (@list @t28 @t51) (= (_ tptp.size_s575106428list_a @t119) @t121))) % 0.48/0.96 (assume @p50 (forall (@list @t19 @t51) (= (_ tptp.size_s1898481668st_nat @t124) @t126))) % 0.48/0.96 (assume @p51 (forall (@list @t37 @t51) (= (_ tptp.size_s1427607542list_a @t129) @t135))) % 0.48/0.96 (assume @p52 (forall @t195 (=> @t194 (=> @t192 @t189)))) % 0.48/0.96 (assume @p53 (forall @t205 (=> (forall @t204 (=> (not @t203) (exists @t202 (and @t201 (not @t199))))) @t197))) % 0.48/0.96 (assume @p54 (forall @t205 (=> (forall @t204 (=> (forall @t202 (=> @t201 @t199)) @t203)) @t197))) % 0.48/0.96 (assume @p55 (forall @t169 (not (_ @t180 @t168)))) % 0.48/0.96 (assume @p56 (forall (@list @t207 @t206) (=> (_ (_ tptp.ord_less_nat @t207) @t206) (not (= @t207 @t206))))) % 0.48/0.96 (assume @p57 (forall (@list @t168 @t107) (=> @t181 @t184))) % 0.48/0.96 (assume @p58 (forall @t209 (=> @t208 (_ tptp.list_desc_nat @t19)))) % 0.48/0.96 (assume @p59 (forall (@list @t179 @t2 @t168 @t210) (=> @t218 (=> @t216 (=> @t215 @t214))))) % 0.48/0.96 (assume @p60 (forall (@list @t177 @t12 @t168 @t210) (=> @t225 (=> @t216 (=> @t223 @t222))))) % 0.48/0.96 (assume @p61 (forall (@list @t228 @t37 @t168 @t210) (=> @t233 (=> @t216 (=> @t231 @t230))))) % 0.48/0.96 (assume @p62 (forall (@list @t175 @t28 @t168 @t210) (=> @t240 (=> @t216 (=> @t238 @t237))))) % 0.48/0.96 (assume @p63 (forall (@list @t186 @t19 @t168 @t210) (=> @t247 (=> @t216 (=> @t245 @t244))))) % 0.48/0.96 (assume @p64 (forall @t209 (=> @t248 (_ tptp.list_asc_nat @t19)))) % 0.48/0.96 (assume @p65 (forall @t255 (=> @t254 (= (_ @t252 @t249) @t179)))) % 0.48/0.96 (assume @p66 (forall @t260 (=> @t259 (= (_ @t258 @t249) @t177)))) % 0.48/0.96 (assume @p67 (forall @t266 (=> @t265 (= (_ @t264 @t249) @t228)))) % 0.48/0.96 (assume @p68 (forall @t272 (=> @t271 (= (_ @t270 @t249) @t175)))) % 0.48/0.96 (assume @p69 (forall @t278 (=> @t277 (= (_ @t276 @t249) @t186)))) % 0.48/0.96 (assume @p70 (forall (@list @t168 @t210 @t2 @t179) (=> @t216 (=> @t215 (=> @t218 @t214))))) % 0.48/0.96 (assume @p71 (forall (@list @t168 @t210 @t12 @t177) (=> @t216 (=> @t223 (=> @t225 @t222))))) % 0.48/0.96 (assume @p72 (forall (@list @t168 @t210 @t37 @t228) (=> @t216 (=> @t231 (=> @t233 @t230))))) % 0.48/0.96 (assume @p73 (forall (@list @t168 @t210 @t28 @t175) (=> @t216 (=> @t238 (=> @t240 @t237))))) % 0.48/0.96 (assume @p74 (forall (@list @t168 @t210 @t19 @t186) (=> @t216 (=> @t245 (=> @t247 @t244))))) % 0.48/0.96 (assume @p75 (forall @t284 (= @t214 (exists @t283 (and @t282 (_ @t280 @t6) (= @t179 (_ @t5 @t279))))))) % 0.48/0.96 (assume @p76 (forall @t285 (= @t222 (exists @t283 (and @t282 (_ @t280 @t15) (= @t177 (_ @t14 @t279))))))) % 0.48/0.96 (assume @p77 (forall @t288 (= @t230 (exists @t283 (and @t282 @t287 (= @t228 @t286)))))) % 0.48/0.96 (assume @p78 (forall @t291 (= @t237 (exists @t283 (and @t282 @t290 (= @t175 @t289)))))) % 0.48/0.96 (assume @p79 (forall @t294 (= @t244 (exists @t283 (and @t282 @t293 (= @t186 @t292)))))) % 0.48/0.96 (assume @p80 (forall @t296 (=> (_ @t180 (_ tptp.size_s1898481668st_nat @t295)) (= (_ (_ tptp.nth_list_nat @t295) @t168) @t217)))) % 0.48/0.96 (assume @p81 (forall @t298 (=> (_ @t180 (_ tptp.size_s575106428list_a @t297)) (= (_ (_ tptp.nth_list_list_a @t297) @t168) @t224)))) % 0.48/0.96 (assume @p82 (forall @t300 (=> (_ @t180 (_ tptp.size_size_list_a @t299)) (= (_ (_ tptp.nth_a @t299) @t168) @t232)))) % 0.48/0.96 (assume @p83 (forall @t302 (=> (_ @t180 (_ tptp.size_s1427607542list_a @t301)) (= (_ (_ tptp.nth_list_a @t301) @t168) @t239)))) % 0.48/0.96 (assume @p84 (forall @t304 (=> (_ @t180 (_ tptp.size_size_list_nat @t303)) (= (_ (_ tptp.nth_nat @t303) @t168) @t246)))) % 0.48/0.96 (assume @p85 (forall (@list @t168 @t210 @t2) (=> @t216 (=> @t215 (_ @t305 @t212))))) % 0.48/0.96 (assume @p86 (forall (@list @t168 @t210 @t12) (=> @t216 (=> @t223 (_ @t306 @t220))))) % 0.48/0.96 (assume @p87 (forall (@list @t168 @t210 @t37) (=> @t216 (=> @t231 (_ @t307 @t227))))) % 0.48/0.96 (assume @p88 (forall (@list @t168 @t210 @t28) (=> @t216 (=> @t238 (_ @t308 @t235))))) % 0.48/0.96 (assume @p89 (forall (@list @t168 @t210 @t19) (=> @t216 (=> @t245 (_ @t309 @t242))))) % 0.48/0.96 (assume @p90 (forall @t284 (=> @t214 (not (forall @t204 (=> @t314 (=> @t312 (not @t311)))))))) % 0.48/0.96 (assume @p91 (forall @t285 (=> @t222 (not (forall @t204 (=> @t317 (=> @t312 (not @t315)))))))) % 0.48/0.96 (assume @p92 (forall @t288 (=> @t230 (not (forall @t204 (=> @t320 (=> @t312 (not @t318)))))))) % 0.48/0.96 (assume @p93 (forall @t291 (=> @t237 (not (forall @t204 (=> @t323 (=> @t312 (not @t321)))))))) % 0.48/0.96 (assume @p94 (forall @t294 (=> @t244 (not (forall @t204 (=> @t326 (=> @t312 (not @t324)))))))) % 0.48/0.96 (assume @p95 (forall (@list @t19 @t249 @t186 @t187) (= (_ (_ @t327 @t249) @t187) (_ @t274 @t187)))) % 0.48/0.96 (assume @p96 (forall (@list @t28 @t249 @t175 @t174) (= (_ (_ @t328 @t249) @t174) (_ @t268 @t174)))) % 0.48/0.96 (assume @p97 (forall (@list @t37 @t249 @t228 @t329) (= (_ (_ @t330 @t249) @t329) (_ @t262 @t329)))) % 0.48/0.96 (assume @p98 (forall (@list @t2 @t249 @t179) (= (_ tptp.size_s1898481668st_nat @t251) @t6))) % 0.48/0.96 (assume @p99 (forall (@list @t12 @t249 @t177) (= (_ tptp.size_s575106428list_a @t257) @t15))) % 0.48/0.96 (assume @p100 (forall @t331 (= (_ tptp.size_size_list_a @t263) @t41))) % 0.48/0.96 (assume @p101 (forall @t332 (= (_ tptp.size_s1427607542list_a @t269) @t32))) % 0.48/0.96 (assume @p102 (forall @t333 (= (_ tptp.size_size_list_nat @t275) @t23))) % 0.48/0.96 (assume @p103 (forall (@list @t2 @t249) (= (_ @t250 @t334) @t2))) % 0.48/0.96 (assume @p104 (forall (@list @t12 @t249) (= (_ @t256 @t335) @t12))) % 0.48/0.96 (assume @p105 (forall (@list @t28 @t249) (= (_ @t268 @t336) @t28))) % 0.48/0.96 (assume @p106 (forall (@list @t37 @t249) (= (_ @t262 @t337) @t37))) % 0.48/0.96 (assume @p107 (forall (@list @t19 @t249) (= (_ @t274 @t338) @t19))) % 0.48/0.96 (assume @p108 (forall (@list @t249 @t339 @t2 @t179) @t344)) % 0.48/0.96 (assume @p109 (forall (@list @t249 @t339 @t12 @t177) @t347)) % 0.48/0.96 (assume @p110 (forall (@list @t249 @t339 @t28 @t175) @t350)) % 0.48/0.96 (assume @p111 (forall (@list @t249 @t339 @t37 @t228) @t353)) % 0.48/0.96 (assume @p112 (forall (@list @t249 @t339 @t19 @t186) @t356)) % 0.48/0.96 (assume @p113 (forall (@list @t249 @t358 @t19 @t186 @t357) (=> @t359 (= (_ (_ @t327 @t358) @t357) (_ (_ (_ tptp.list_update_nat (_ (_ @t273 @t358) @t357)) @t249) @t186))))) % 0.48/0.96 (assume @p114 (forall (@list @t249 @t358 @t28 @t175 @t360) (=> @t359 (= (_ (_ @t328 @t358) @t360) (_ (_ (_ tptp.list_update_list_a (_ (_ @t267 @t358) @t360)) @t249) @t175))))) % 0.48/0.96 (assume @p115 (forall (@list @t249 @t358 @t37 @t228 @t361) (=> @t359 (= (_ (_ @t330 @t358) @t361) (_ (_ (_ tptp.list_update_a (_ (_ @t261 @t358) @t361)) @t249) @t228))))) % 0.48/0.96 (assume @p116 (forall (@list @t19 @t51 @t168) (= (_ tptp.size_s1898481668st_nat (_ (_ (_ tptp.listSl1794011552ux_nat @t19) @t51) @t168)) @t168))) % 0.48/0.96 (assume @p117 (forall (@list @t28 @t51 @t168) (= (_ tptp.size_s575106428list_a (_ (_ (_ tptp.listSl856612276list_a @t28) @t51) @t168)) @t168))) % 0.48/0.96 (assume @p118 (forall (@list @t37 @t51 @t168) (= (_ tptp.size_s1427607542list_a (_ @t363 @t168)) @t168))) % 0.48/0.96 (assume @p119 (forall (@list @t249 @t2 @t339 @t179) (=> @t254 (and (=> @t342 (= @t341 @t179)) @t344)))) % 0.48/0.96 (assume @p120 (forall (@list @t249 @t12 @t339 @t177) (=> @t259 (and (=> @t342 (= @t346 @t177)) @t347)))) % 0.48/0.96 (assume @p121 (forall (@list @t249 @t37 @t339 @t228) (=> @t265 (and (=> @t342 (= @t352 @t228)) @t353)))) % 0.48/0.96 (assume @p122 (forall (@list @t249 @t28 @t339 @t175) (=> @t271 (and (=> @t342 (= @t349 @t175)) @t350)))) % 0.48/0.96 (assume @p123 (forall (@list @t249 @t19 @t339 @t186) (=> @t277 (and (=> @t342 (= @t355 @t186)) @t356)))) % 0.48/0.96 (assume @p124 (forall @t255 (=> @t254 (= (= @t251 @t2) (= @t334 @t179))))) % 0.48/0.96 (assume @p125 (forall @t260 (=> @t259 (= (= @t257 @t12) (= @t335 @t177))))) % 0.48/0.96 (assume @p126 (forall @t266 (=> @t265 (= @t364 (= @t337 @t228))))) % 0.48/0.96 (assume @p127 (forall @t272 (=> @t271 (= @t365 (= @t336 @t175))))) % 0.48/0.96 (assume @p128 (forall @t278 (=> @t277 (= @t366 (= @t338 @t186))))) % 0.48/0.96 (assume @p129 (forall @t370 (=> @t254 (=> @t369 (= (_ tptp.set_list_nat2 @t367) (_ tptp.set_list_nat2 @t2)))))) % 0.48/0.96 (assume @p130 (forall @t373 (=> @t259 (=> @t372 (= (_ tptp.set_list_list_a2 @t371) (_ tptp.set_list_list_a2 @t12)))))) % 0.48/0.96 (assume @p131 (forall @t377 (=> @t265 (=> @t376 (= (_ tptp.set_a2 @t375) @t374))))) % 0.48/0.96 (assume @p132 (forall @t381 (=> @t271 (=> @t380 (= (_ tptp.set_list_a2 @t379) @t378))))) % 0.48/0.96 (assume @p133 (forall @t385 (=> @t277 (=> @t384 (= (_ tptp.set_nat2 @t383) @t382))))) % 0.48/0.96 (assume @p134 (forall (@list @t386 @t196) (= (_ (_ tptp.member_nat @t386) (_ tptp.collect_nat @t196)) @t387))) % 0.48/0.96 (assume @p135 (forall (@list @t388 @t160) (= (_ (_ tptp.member_list_a @t388) (_ tptp.collect_list_a @t160)) (_ @t160 @t388)))) % 0.48/0.96 (assume @p136 (forall (@list @t389 @t390) (= (_ (_ tptp.member_a @t389) (_ tptp.collect_a @t390)) (_ @t390 @t389)))) % 0.48/0.96 (assume @p137 (forall (@list @t210) (= (_ tptp.collect_nat (lambda @t283 @t282)) @t210))) % 0.48/0.96 (assume @p138 (forall (@list @t391) (= (_ tptp.collect_list_a (lambda @t394 (_ @t393 @t391))) @t391))) % 0.48/0.96 (assume @p139 (forall (@list @t395) (= (_ tptp.collect_a (lambda @t398 (_ @t397 @t395))) @t395))) % 0.48/0.96 (assume @p140 (forall @t370 (=> @t254 (=> @t369 (= (_ tptp.distinct_list_nat @t367) (_ tptp.distinct_list_nat @t2)))))) % 0.48/0.96 (assume @p141 (forall @t373 (=> @t259 (=> @t372 (= (_ tptp.distinct_list_list_a @t371) (_ tptp.distinct_list_list_a @t12)))))) % 0.48/0.96 (assume @p142 (forall @t377 (=> @t265 (=> @t376 (= (_ tptp.distinct_a @t375) @t399))))) % 0.48/0.96 (assume @p143 (forall @t381 (=> @t271 (=> @t380 (= (_ tptp.distinct_list_a @t379) @t400))))) % 0.48/0.96 (assume @p144 (forall @t385 (=> @t277 (=> @t384 (= (_ tptp.distinct_nat @t383) @t401))))) % 0.48/0.96 (assume @p145 (forall (@list @t179 @t2) (=> @t403 (not (forall @t204 (=> @t311 (not @t314))))))) % 0.48/0.96 (assume @p146 (forall (@list @t177 @t12) (=> @t405 (not (forall @t204 (=> @t315 (not @t317))))))) % 0.48/0.96 (assume @p147 (forall @t408 (=> @t407 (not (forall @t204 (=> @t318 (not @t320))))))) % 0.48/0.96 (assume @p148 (forall @t411 (=> @t410 (not (forall @t204 (=> @t321 (not @t323))))))) % 0.48/0.96 (assume @p149 (forall @t414 (=> @t413 (not (forall @t204 (=> @t324 (not @t326))))))) % 0.48/0.96 (assume @p150 (forall @t296 (=> @t215 (_ @t305 @t402)))) % 0.48/0.96 (assume @p151 (forall @t298 (=> @t223 (_ @t306 @t404)))) % 0.48/0.96 (assume @p152 (forall @t300 (=> @t231 (_ @t307 @t406)))) % 0.48/0.96 (assume @p153 (forall @t302 (=> @t238 (_ @t308 @t409)))) % 0.48/0.96 (assume @p154 (forall @t304 (=> @t245 (_ @t309 @t412)))) % 0.48/0.96 (assume @p155 (forall (@list @t179 @t2 @t168) (=> @t218 (=> @t215 @t403)))) % 0.48/0.96 (assume @p156 (forall (@list @t177 @t12 @t168) (=> @t225 (=> @t223 @t405)))) % 0.48/0.96 (assume @p157 (forall (@list @t228 @t37 @t168) (=> @t233 (=> @t231 @t407)))) % 0.48/0.96 (assume @p158 (forall (@list @t175 @t28 @t168) (=> @t240 (=> @t238 @t410)))) % 0.48/0.96 (assume @p159 (forall (@list @t186 @t19 @t168) (=> @t247 (=> @t245 @t413)))) % 0.48/0.96 (assume @p160 (forall (@list @t210 @t2 @t415) (=> (forall @t204 (=> (and @t312 @t311) (_ (_ tptp.member_list_nat @t313) @t415))) (_ (_ tptp.ord_le1747345782st_nat @t212) @t415)))) % 0.48/0.96 (assume @p161 (forall (@list @t210 @t12 @t416) (=> (forall @t204 (=> (and @t312 @t315) (_ (_ tptp.member_list_list_a @t316) @t416))) (_ (_ tptp.ord_le1756736906list_a @t220) @t416)))) % 0.48/0.96 (assume @p162 (forall (@list @t210 @t37 @t417) (=> (forall @t204 (=> (and @t312 @t318) (_ (_ tptp.member_a @t319) @t417))) @t418))) % 0.48/0.96 (assume @p163 (forall (@list @t210 @t28 @t419) (=> (forall @t204 (=> (and @t312 @t321) (_ (_ tptp.member_list_a @t322) @t419))) @t420))) % 0.48/0.96 (assume @p164 (forall (@list @t210 @t19 @t421) (=> (forall @t204 (=> (and @t312 @t324) (_ (_ tptp.member_nat @t325) @t421))) @t422))) % 0.48/0.96 (assume @p165 (forall (@list @t37 @t210 @t417) (= @t418 (forall @t283 (=> @t282 (=> @t287 (_ (_ tptp.member_a @t286) @t417))))))) % 0.48/0.96 (assume @p166 (forall (@list @t28 @t210 @t419) (= @t420 (forall @t283 (=> @t282 (=> @t290 (_ (_ tptp.member_list_a @t289) @t419))))))) % 0.48/0.96 (assume @p167 (forall (@list @t19 @t210 @t421) (= @t422 (forall @t283 (=> @t282 (=> @t293 (_ (_ tptp.member_nat @t292) @t421))))))) % 0.48/0.96 (assume @p168 (forall @t331 (=> (_ (_ tptp.ord_less_eq_nat @t41) @t249) @t364))) % 0.48/0.96 (assume @p169 (forall @t332 (=> (_ (_ tptp.ord_less_eq_nat @t32) @t249) @t365))) % 0.48/0.96 (assume @p170 (forall @t333 (=> (_ (_ tptp.ord_less_eq_nat @t23) @t249) @t366))) % 0.48/0.96 (assume @p171 (forall (@list @t423 @t249 @t339) (=> (forall (@list @t4 @t426) (=> (_ @t7 @t426) (_ (_ tptp.ord_less_nat (_ @t423 @t4)) (_ @t423 @t426)))) (=> @t425 (_ (_ tptp.ord_less_eq_nat (_ @t423 @t249)) (_ @t423 @t339)))))) % 0.48/0.96 (assume @p172 (forall @t185 (=> @t427 (=> @t184 @t182)))) % 0.48/0.96 (assume @p173 (forall @t185 (=> (or @t182 @t183) @t427))) % 0.48/0.96 (assume @p174 (forall @t185 (=> @t182 @t427))) % 0.48/0.96 (assume @p175 (= tptp.ord_less_nat (lambda @t431 (and (_ (_ tptp.ord_less_eq_nat @t429) @t428) (not @t430))))) % 0.48/0.96 (assume @p176 (forall (@list @t37 @t228) (=> @t399 (=> @t439 (exists @t438 (and (_ @t437 @t41) (= (_ @t39 @t432) @t228) (forall @t436 (=> (and (_ @t435 @t41) (= (_ @t39 @t433) @t228)) @t434)))))))) % 0.48/0.96 (assume @p177 (forall (@list @t28 @t175) (=> @t400 (=> @t440 (exists @t438 (and (_ @t437 @t32) (= (_ @t30 @t432) @t175) (forall @t436 (=> (and (_ @t435 @t32) (= (_ @t30 @t433) @t175)) @t434)))))))) % 0.48/0.96 (assume @p178 (forall (@list @t19 @t186) (=> @t401 (=> @t441 (exists @t438 (and (_ @t437 @t23) (= (_ @t21 @t432) @t186) (forall @t436 (=> (and (_ @t435 @t23) (= (_ @t21 @t433) @t186)) @t434)))))))) % 0.48/0.96 (assume @p179 (forall @t209 (=> @t248 @t401))) % 0.48/0.96 (assume @p180 (forall @t209 (=> @t208 @t401))) % 0.48/0.96 (assume @p181 (forall @t209 (=> @t248 (forall (@list @t442) (=> (_ (_ tptp.ord_less_nat @t442) @t23) (forall @t444 (=> (_ (_ tptp.ord_less_eq_nat @t443) @t442) (_ (_ tptp.ord_less_eq_nat (_ @t21 @t443)) (_ @t21 @t442))))))))) % 0.48/0.96 (assume @p182 (= tptp.list_asc_nat (lambda @t70 (forall @t451 (=> @t450 (forall @t54 (=> @t448 @t447))))))) % 0.48/0.96 (assume @p183 (= tptp.list_desc_nat (lambda @t70 (forall @t451 (=> @t450 (forall @t54 (=> @t448 @t452))))))) % 0.48/0.96 (assume @p184 (forall (@list @t37 @t249 @t339) (=> @t399 (=> @t265 (=> @t376 (= (= @t337 @t351) @t342)))))) % 0.48/0.96 (assume @p185 (forall (@list @t28 @t249 @t339) (=> @t400 (=> @t271 (=> @t380 (= (= @t336 @t348) @t342)))))) % 0.48/0.96 (assume @p186 (forall (@list @t19 @t249 @t339) (=> @t401 (=> @t277 (=> @t384 (= (= @t338 @t354) @t342)))))) % 0.48/0.96 (assume @p187 (forall (@list @t37 @t390) (= (forall @t398 (=> (_ @t397 @t374) (_ @t390 @t396))) (forall @t54 (=> @t454 (_ @t390 @t453)))))) % 0.48/0.96 (assume @p188 (forall (@list @t28 @t160) (= (forall @t394 (=> (_ @t393 @t378) (_ @t160 @t392))) (forall @t54 (=> @t456 (_ @t160 @t455)))))) % 0.48/0.96 (assume @p189 (forall (@list @t19 @t196) (= (forall @t283 (=> (_ @t281 @t382) (_ @t196 @t279))) (forall @t54 (=> @t458 (_ @t196 @t457)))))) % 0.48/0.96 (assume @p190 (forall (@list @t37 @t390 @t228) (=> (forall @t8 (=> @t42 (_ @t390 @t40))) (=> @t439 (_ @t390 @t228))))) % 0.48/0.96 (assume @p191 (forall (@list @t28 @t160 @t175) (=> (forall @t8 (=> @t33 (_ @t160 @t31))) (=> @t440 (_ @t160 @t175))))) % 0.48/0.96 (assume @p192 (forall (@list @t19 @t196 @t186) (=> (forall @t8 (=> @t24 (_ @t196 @t22))) (=> @t441 (_ @t196 @t186))))) % 0.48/0.96 (assume @p193 (forall @t408 (= @t439 (exists @t54 (and @t454 (= @t453 @t228)))))) % 0.48/0.96 (assume @p194 (forall @t411 (= @t440 (exists @t54 (and @t456 (= @t455 @t175)))))) % 0.48/0.96 (assume @p195 (forall @t414 (= @t441 (exists @t54 (and @t458 (= @t457 @t186)))))) % 0.48/0.96 (assume @p196 (forall (@list @t168 @t37 @t390) (=> @t231 (=> (forall (@list @t459) (=> (_ (_ tptp.member_a @t459) @t374) (_ @t390 @t459))) (_ @t390 @t232))))) % 0.48/0.96 (assume @p197 (forall (@list @t168 @t28 @t160) (=> @t238 (=> (forall (@list @t460) (=> (_ (_ tptp.member_list_a @t460) @t378) (_ @t160 @t460))) (_ @t160 @t239))))) % 0.48/0.96 (assume @p198 (forall (@list @t168 @t19 @t196) (=> @t245 (=> (forall @t438 (=> (_ (_ tptp.member_nat @t432) @t382) @t461)) (_ @t196 @t246))))) % 0.48/0.96 (assume @p199 (forall @t300 (=> @t231 (_ @t307 @t374)))) % 0.48/0.96 (assume @p200 (forall @t302 (=> @t238 (_ @t308 @t378)))) % 0.48/0.96 (assume @p201 (forall @t304 (=> @t245 (_ @t309 @t382)))) % 0.48/0.96 (assume @p202 (forall (@list @t168 @t37 @t228) (=> @t231 (_ @t229 (_ tptp.set_a2 (_ (_ @t261 @t168) @t228)))))) % 0.48/0.96 (assume @p203 (forall (@list @t168 @t28 @t175) (=> @t238 (_ @t236 (_ tptp.set_list_a2 (_ (_ @t267 @t168) @t175)))))) % 0.48/0.96 (assume @p204 (forall (@list @t168 @t19 @t186) (=> @t245 (_ @t243 (_ tptp.set_nat2 (_ (_ @t273 @t168) @t186)))))) % 0.48/0.96 (assume @p205 (forall (@list @t37 @t210) (=> (forall @t204 (=> @t318 @t312)) (= @t227 @t374)))) % 0.48/0.96 (assume @p206 (forall (@list @t28 @t210) (=> (forall @t204 (=> @t321 @t312)) (= @t235 @t378)))) % 0.48/0.96 (assume @p207 (forall (@list @t19 @t210) (=> (forall @t204 (=> @t324 @t312)) (= @t242 @t382)))) % 0.48/0.96 (assume @p208 (forall @t463 (_ @t462 @t186))) % 0.48/0.96 (assume @p209 (forall (@list @t196 @t51 @t465) (=> (_ @t196 @t51) (=> (forall (@list @t466) (=> (_ @t196 @t466) (_ (_ tptp.ord_less_eq_nat @t466) @t465))) (exists @t438 (and @t461 (forall @t436 (=> @t464 (_ (_ tptp.ord_less_eq_nat @t433) @t432))))))))) % 0.48/0.96 (assume @p210 (forall @t185 (or @t427 @t468))) % 0.48/0.96 (assume @p211 (forall @t185 (=> @t427 (=> @t468 @t183)))) % 0.48/0.96 (assume @p212 (forall @t185 (=> @t183 @t427))) % 0.48/0.96 (assume @p213 (forall (@list @t249 @t339 @t51) (=> @t425 (=> (_ (_ tptp.ord_less_eq_nat @t339) @t51) (_ @t424 @t51))))) % 0.48/0.96 (assume @p214 (forall @t169 (_ @t467 @t168))) % 0.48/0.96 (assume @p215 (forall @t474 (=> @t473 (=> @t471 @t469)))) % 0.48/0.96 (assume @p216 (= @t482 (lambda @t479 (and @t478 @t477)))) % 0.48/0.96 (assume @p217 (forall @t486 (=> @t473 (=> @t485 (_ @t484 @t386))))) % 0.48/0.96 (assume @p218 (forall @t493 (=> (forall @t491 (=> (_ (_ tptp.ord_less_eq_nat @t488) @t487) @t490)) @t492))) % 0.48/0.96 (assume @p219 (forall @t494 (_ @t470 @t386))) % 0.48/0.96 (assume @p220 (forall @t500 (=> @t499 (=> @t498 @t496)))) % 0.48/0.96 (assume @p221 (forall @t501 (=> @t471 (=> @t473 @t469)))) % 0.48/0.96 (assume @p222 (forall @t504 (=> @t471 (=> @t503 @t502)))) % 0.48/0.96 (assume @p223 (forall @t504 (=> @t469 @t506))) % 0.48/0.96 (assume @p224 (= @t482 (lambda @t479 (and @t477 @t478)))) % 0.48/0.96 (assume @p225 (forall @t509 (=> @t508 @t507))) % 0.48/0.96 (assume @p226 (forall @t500 (=> (=> @t499 (not @t498)) (=> (=> @t508 (not @t496)) (=> (=> @t496 (not @t514)) (=> (=> @t514 @t513) (=> (=> @t498 (not @t512)) (not (=> @t512 @t510))))))))) % 0.48/0.96 (assume @p227 (forall @t504 (=> @t471 @t506))) % 0.48/0.96 (assume @p228 (forall @t195 (=> @t510 @t508))) % 0.48/0.96 (assume @p229 (forall @t195 (=> @t193 @t499))) % 0.48/0.96 (assume @p230 (forall @t195 (or @t499 @t508))) % 0.48/0.96 (assume @p231 (forall @t195 (=> @t499 (=> @t508 @t193)))) % 0.48/0.96 (assume @p232 (= @t482 (lambda @t518 (and @t517 @t516)))) % 0.48/0.96 (assume @p233 (forall @t527 (=> @t471 (=> @t526 @t524)))) % 0.48/0.96 (assume @p234 (forall @t531 (=> @t530 @t529))) % 0.48/0.96 (assume @p235 (forall @t527 (=> @t471 (=> @t532 @t524)))) % 0.48/0.96 (assume @p236 (forall @t531 (=> @t533 @t529))) % 0.48/0.96 (assume @p237 (forall @t531 (=> @t530 @t539))) % 0.48/0.96 (assume @p238 (forall @t527 (=> @t542 (=> @t526 @t541)))) % 0.48/0.96 (assume @p239 (forall @t531 (=> @t543 @t539))) % 0.48/0.96 (assume @p240 (forall @t527 (=> @t542 (=> @t544 @t541)))) % 0.48/0.96 (assume @p241 (forall @t463 (exists (@list @t545) (_ @t190 @t545)))) % 0.48/0.96 (assume @p242 (forall @t195 (= @t194 (or @t191 @t189)))) % 0.48/0.96 (assume @p243 (forall @t501 (=> @t542 (not @t546)))) % 0.48/0.96 (assume @p244 (forall @t195 (=> @t191 @t194))) % 0.48/0.96 (assume @p245 (forall @t195 (=> @t191 @t547))) % 0.48/0.96 (assume @p246 (forall @t500 (=> @t191 @t549))) % 0.48/0.96 (assume @p247 (forall @t195 (or @t191 @t193 @t189))) % 0.48/0.96 (assume @p248 (forall @t463 (not (_ @t190 @t186)))) % 0.48/0.96 (assume @p249 (forall @t504 (=> @t469 @t551))) % 0.48/0.96 (assume @p250 (forall @t504 (=> @t542 (=> @t503 @t550)))) % 0.48/0.96 (assume @p251 (forall @t474 (=> @t546 (not @t542)))) % 0.48/0.96 (assume @p252 (forall (@list @t196 @t386) (=> (forall @t438 (=> (forall @t436 (=> (_ @t435 @t432) @t464)) @t461)) @t387))) % 0.48/0.96 (assume @p253 (forall @t509 (=> @t547 @t552))) % 0.48/0.96 (assume @p254 (forall @t195 (=> @t191 (not (= @t187 @t186))))) % 0.48/0.96 (assume @p255 (forall (@list @t186 @t187 @t553) (=> @t191 (=> @t189 @t553)))) % 0.48/0.96 (assume @p256 (forall @t195 (=> @t192 (=> @t194 @t189)))) % 0.48/0.96 (assume @p257 (forall @t494 (not (_ @t534 @t386)))) % 0.48/0.96 (assume @p258 (forall @t504 (=> @t542 @t551))) % 0.48/0.96 (assume @p259 (= (lambda (@list @t557) (exists @t72 (_ @t557 @t71))) (lambda (@list @t554) (exists @t556 (and (_ @t554 @t428) (forall (@list @t429) (=> @t555 (not (_ @t554 @t429))))))))) % 0.48/0.96 (assume @p260 (forall @t493 (=> (forall @t491 (=> (_ (_ tptp.ord_less_nat @t488) @t487) @t490)) (=> (forall (@list @t488) (_ @t489 @t488)) @t492)))) % 0.48/0.96 (assume @p261 (forall @t486 (=> @t546 @t560))) % 0.48/0.96 (assume @p262 (forall @t195 (= @t192 (or @t189 @t193)))) % 0.48/0.96 (assume @p263 (forall @t501 (=> @t542 @t561))) % 0.48/0.96 (assume @p264 (forall @t474 (=> @t546 @t561))) % 0.48/0.96 (assume @p265 (forall @t501 (=> @t561 (=> @t471 @t542)))) % 0.48/0.96 (assume @p266 (forall @t474 (=> @t546 @t473))) % 0.48/0.96 (assume @p267 (= tptp.ord_less_nat (lambda @t564 (and @t478 @t563)))) % 0.48/0.96 (assume @p268 (= tptp.ord_less_eq_nat (lambda @t564 (or (_ (_ tptp.ord_less_nat @t475) @t476) @t562)))) % 0.48/0.96 (assume @p269 (forall @t501 (=> @t542 @t471))) % 0.48/0.96 (assume @p270 (forall @t486 (=> @t546 (=> @t485 @t559)))) % 0.48/0.96 (assume @p271 (forall @t486 (=> @t473 @t560))) % 0.48/0.96 (assume @p272 (= tptp.ord_less_nat (lambda @t479 (and @t477 @t563)))) % 0.48/0.96 (assume @p273 (= tptp.ord_less_eq_nat (lambda @t479 (or (_ @t565 @t475) @t562)))) % 0.48/0.96 (assume @p274 (forall @t504 (=> @t542 (=> @t505 @t550)))) % 0.48/0.96 (assume @p275 (forall @t504 (=> @t471 @t551))) % 0.48/0.96 (assume @p276 (forall @t509 (=> @t513 @t191))) % 0.48/0.96 (assume @p277 (= tptp.ord_less_nat (lambda @t518 (and @t517 (not @t516))))) % 0.48/0.96 (assume @p278 (forall @t195 (=> @t499 (or @t191 @t193)))) % 0.48/0.96 (assume @p279 (forall @t195 (or @t499 @t189))) % 0.48/0.96 (assume @p280 (forall @t500 (=> @t191 (=> @t498 @t548)))) % 0.48/0.96 (assume @p281 (forall @t500 (=> @t499 @t549))) % 0.48/0.96 (assume @p282 (forall @t195 (=> @t191 @t499))) % 0.48/0.96 (assume @p283 (forall @t195 (=> @t499 @t552))) % 0.48/0.96 (assume @p284 (forall @t195 (=> @t192 @t507))) % 0.48/0.96 (assume @p285 (forall @t501 (=> @t471 (=> @t561 @t542)))) % 0.48/0.96 (assume @p286 (forall @t195 (= @t192 @t508))) % 0.48/0.96 (assume @p287 (forall @t195 (= @t510 @t189))) % 0.48/0.96 (assume @p288 (forall @t527 (=> @t542 (=> @t532 @t541)))) % 0.48/0.96 (assume @p289 (forall @t531 (=> @t543 (=> @t505 (=> @t523 @t535))))) % 0.48/0.96 (assume @p290 (forall @t527 (=> @t471 (=> @t544 (=> @t523 @t540))))) % 0.48/0.96 (assume @p291 (forall @t531 (=> @t533 @t539))) % 0.48/0.96 (assume @p292 (= tptp.ord_less_nat (lambda @t518 (and @t517 (not @t566))))) % 0.48/0.96 (assume @p293 (= tptp.ord_less_eq_nat (lambda @t518 (or (_ @t280 @t515) @t566)))) % 0.48/0.96 (assume @p294 (forall @t195 (=> @t192 @t508))) % 0.48/0.96 (assume @p295 (forall @t509 (=> @t508 @t192))) % 0.48/0.96 (assume @p296 (forall (@list @t186 @t168 @t107) (=> (_ @t190 (_ @t567 @t107)) @t427))) % 0.48/0.96 (assume @p297 (forall (@list @t107 @t168 @t51) (=> @t427 (_ (_ tptp.ord_less_eq_nat (_ @t568 @t51)) (_ @t567 @t51))))) % 0.48/0.96 (assume @p298 (forall @t185 (_ (_ tptp.ord_less_eq_nat (_ @t568 @t168)) @t107))) % 0.48/0.96 (assume @p299 (forall (@list @t168 @t196 @t107) (=> (forall @t571 (=> (_ @t180 @t569) @t570)) (=> (forall @t571 (=> (_ (_ tptp.ord_less_eq_nat @t569) @t168) (=> (forall @t444 (=> (_ (_ tptp.ord_less_nat @t569) @t443) (_ @t196 @t443))) @t570))) (_ @t196 @t107))))) % 0.48/0.96 (assume @p300 (forall @t579 (exists @t578 (forall @t577 (=> @t576 (not @t573)))))) % 0.48/0.96 (assume @p301 (forall @t579 (exists @t578 (forall @t577 (=> @t576 (not @t580)))))) % 0.48/0.96 (assume @p302 (forall @t579 (exists @t578 (forall @t577 (=> @t576 @t581))))) % 0.48/0.96 (assume @p303 (forall @t579 (exists @t578 (forall @t577 (=> @t576 @t582))))) % 0.48/0.96 (assume @p304 (forall @t598 (=> @t597 (=> @t595 (exists @t578 (forall @t577 (=> @t576 @t590))))))) % 0.48/0.96 (assume @p305 (forall @t598 (=> @t597 (=> @t595 (exists @t578 (forall @t577 (=> @t576 @t599))))))) % 0.48/0.96 (assume @p306 (forall @t579 (exists @t578 (forall @t577 (=> @t600 @t580))))) % 0.48/0.96 (assume @p307 (forall @t579 (exists @t578 (forall @t577 (=> @t600 (not @t581)))))) % 0.48/0.96 (assume @p308 (forall @t579 (exists @t578 (forall @t577 (=> @t600 @t582))))) % 0.48/0.96 (assume @p309 (forall @t598 (=> @t603 (=> @t602 (exists @t578 (forall @t577 (=> @t600 @t590))))))) % 0.48/0.96 (assume @p310 (forall @t598 (=> @t603 (=> @t602 (exists @t578 (forall @t577 (=> @t600 @t599))))))) % 0.48/0.96 (assume @p311 (forall @t579 (exists @t578 (forall @t577 (=> @t600 (not @t604)))))) % 0.48/0.96 (assume @p312 (forall @t579 (exists @t578 (forall @t577 (=> @t600 @t573))))) % 0.48/0.96 (assume @p313 (forall @t579 (exists @t578 (forall @t577 (=> @t576 @t604))))) % 0.48/0.96 (assume @p314 (forall (@list @t386 @t465 @t196) (=> @t542 (=> @t387 (=> (not (_ @t196 @t465)) (exists (@list @t605) (and (_ @t470 @t605) (_ (_ tptp.ord_less_eq_nat @t605) @t465) (forall @t577 (=> (and (_ @t470 @t572) (_ @t575 @t605)) @t589)) (forall (@list @t606) (=> (forall @t438 (=> (and (_ @t470 @t432) (_ @t437 @t606)) @t461)) (_ (_ tptp.ord_less_eq_nat @t606) @t605)))))))))) % 0.48/0.96 (assume @p315 (= tptp.ord_less_eq_nat (lambda (@list @t428 @t476) (forall @t283 (=> (_ @t565 @t279) @t607))))) % 0.48/0.96 (assume @p316 (= tptp.ord_less_eq_nat (lambda (@list @t476 @t428) (forall @t283 (=> (_ @t280 @t476) @t607))))) % 0.48/0.96 (assume @p317 @t611) % 0.48/0.96 (assume @p318 @t615) % 0.48/0.96 (assume @p319 true) % 0.48/0.96 (step @p320 (= tptp.list_strict_desc_nat @t617) :rule refl :args (@t617)) % 0.48/0.96 (step @p321 (= tptp.list_strict_asc_nat @t618) :rule refl :args (@t618)) % 0.48/0.96 (step @p322 (= tptp.listSl729562870st_nat @t620) :rule refl :args (@t620)) % 0.48/0.96 (step @p323 (= tptp.listSl2102238196list_a @t621) :rule refl :args (@t621)) % 0.48/0.96 (step @p324 (= tptp.listSl162220270list_a @t622) :rule refl :args (@t622)) % 0.48/0.96 (step @p325 (= tptp.listSl1630398182ce_nat @t623) :rule refl :args (@t623)) % 0.48/0.96 (step @p326 (= tptp.listSl97544552lice_a @t624) :rule refl :args (@t624)) % 0.48/0.96 (step @p327 (= tptp.list_ex_list_nat @t627) :rule refl :args (@t627)) % 0.48/0.96 (step @p328 (= tptp.list_ex_list_list_a @t629) :rule refl :args (@t629)) % 0.48/0.96 (step @p329 (= tptp.list_ex_a @t631) :rule refl :args (@t631)) % 0.48/0.96 (step @p330 (= tptp.list_ex_list_a @t633) :rule refl :args (@t633)) % 0.48/0.96 (step @p331 (= tptp.list_ex_nat @t634) :rule refl :args (@t634)) % 0.48/0.96 (step @p332 (= tptp.list_desc_set_nat @t641) :rule refl :args (@t641)) % 0.48/0.96 (step @p333 (= tptp.list_desc_set_list_a @t648) :rule refl :args (@t648)) % 0.48/0.96 (step @p334 (= tptp.list_desc_set_a @t655) :rule refl :args (@t655)) % 0.48/0.96 (step @p335 (= tptp.list_desc_nat @t656) :rule refl :args (@t656)) % 0.48/0.96 (step @p336 (= tptp.list_asc_set_nat @t657) :rule refl :args (@t657)) % 0.48/0.96 (step @p337 (= tptp.list_asc_set_list_a @t658) :rule refl :args (@t658)) % 0.48/0.96 (step @p338 (= tptp.list_asc_set_a @t659) :rule refl :args (@t659)) % 0.48/0.96 (step @p339 (= tptp.list_asc_nat @t660) :rule refl :args (@t660)) % 0.48/0.96 (step @p340 (= tptp.ord_less_eq_nat @t661) :rule refl :args (@t661)) % 0.48/0.96 (step @p341 (= tptp.distinct_a @t663) :rule refl :args (@t663)) % 0.48/0.96 (step @p342 (= tptp.distinct_list_a @t664) :rule refl :args (@t664)) % 0.48/0.96 (step @p343 (= tptp.distinct_nat @t665) :rule refl :args (@t665)) % 0.48/0.96 (step @p344 :rule refl :args ((tptp.size_size_list_a @t613))) % 0.48/0.96 (step @p345 :rule refl :args ((tptp.nth_list_a @t612 tptp.m))) % 0.48/0.96 (step @p346 :rule refl :args (tptp.m)) % 0.48/0.96 (step @p347 :rule refl :args (@t666)) % 0.48/0.96 (step @p348 :rule cong :premises (@p347 @p346) :args (@t667)) % 0.48/0.96 (step @p349 :rule trans :premises (@p348 @p345)) % 0.48/0.96 (step @p350 :rule cong :premises (@p349) :args (@t668)) % 0.48/0.96 (step @p351 :rule trans :premises (@p350 @p344)) % 0.48/0.96 (step @p352 :rule refl :args (tptp.size_size_list_a)) % 0.48/0.96 (step @p353 :rule ho_cong :premises (@p352 @p349)) % 0.48/0.96 (step @p354 :rule cong :premises (@p353 @p351) :args ((= (_ tptp.size_size_list_a @t667) @t668))) % 0.48/0.96 (step @p355 :rule symm :premises (@p354)) % 0.48/0.96 (step @p356 :rule refl :args (@t614)) % 0.48/0.96 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.48/0.96 (step @p358 :rule refl :args (tptp.nth_list_a)) % 0.48/0.96 (step @p359 :rule ho_cong :premises (@p358 @p347)) % 0.48/0.96 (step @p360 :rule ho_cong :premises (@p359 @p346)) % 0.48/0.96 (step @p361 :rule cong :premises (@p360 @p349) :args ((= (_ (_ tptp.nth_list_a @t666) tptp.m) @t667))) % 0.48/0.96 (step @p362 :rule symm :premises (@p361)) % 0.48/0.96 (step @p363 :rule refl :args (@t613)) % 0.48/0.96 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 0.48/0.96 (step @p365 :rule refl :args (tptp.m)) % 0.48/0.96 (step @p366 :rule refl :args (@t612)) % 0.48/0.96 (step @p367 :rule cong :premises (@p366 @p347) :args ((= @t612 @t666))) % 0.48/0.96 (step @p368 :rule symm :premises (@p367)) % 0.48/0.96 (step @p369 :rule eq_resolve :premises (@p366 @p368)) % 0.48/0.96 (step @p370 :rule refl :args (tptp.nth_list_a)) % 0.48/0.96 (step @p371 :rule ho_cong :premises (@p370 @p369)) % 0.48/0.96 (step @p372 :rule ho_cong :premises (@p371 @p365)) % 0.48/0.96 (step @p373 :rule trans :premises (@p372 @p364)) % 0.48/0.96 (step @p374 :rule refl :args (tptp.size_size_list_a)) % 0.48/0.96 (step @p375 :rule ho_cong :premises (@p374 @p373)) % 0.48/0.96 (step @p376 :rule trans :premises (@p375 @p357)) % 0.48/0.96 (step @p377 :rule refl :args (tptp.k)) % 0.48/0.96 (step @p378 :rule cong :premises (@p377 @p376) :args (@t669)) % 0.48/0.96 (step @p379 :rule cong :premises (@p378) :args ((not @t669))) % 0.48/0.96 (step @p380 :rule eq-symm :args (@t614 tptp.k)) % 0.48/0.96 (step @p381 :rule cong :premises (@p380) :args (@t615)) % 0.48/0.96 (step @p382 :rule trans :premises (@p381 @p379)) % 0.48/0.96 (step @p383 :rule eq_resolve :premises (@p318 @p382)) % 0.48/0.96 (step @p384 :rule refl :args ((tptp.nth_list_a @t670 @t107))) % 0.48/0.96 (step @p385 :rule refl :args (@t107)) % 0.48/0.96 (step @p386 :rule refl :args ((tptp.listSl1495374126_aux_a @t37 @t51 @t135))) % 0.48/0.96 (step @p387 :rule refl :args ((tptp.divide_divide_nat @t41 @t51))) % 0.48/0.96 (step @p388 :rule refl :args (@t51)) % 0.48/0.96 (step @p389 :rule refl :args (@t671)) % 0.48/0.96 (step @p390 :rule cong :premises (@p389 @p388) :args (@t672)) % 0.48/0.96 (step @p391 :rule trans :premises (@p390 @p387)) % 0.48/0.96 (step @p392 :rule refl :args (@t37)) % 0.48/0.96 (step @p393 :rule cong :premises (@p392 @p388 @p391) :args (@t673)) % 0.48/0.96 (step @p394 :rule trans :premises (@p393 @p386)) % 0.48/0.96 (step @p395 :rule cong :premises (@p394 @p385) :args (@t674)) % 0.48/0.96 (step @p396 :rule trans :premises (@p395 @p384)) % 0.48/0.96 (step @p397 :rule ho_cong :premises (@p358 @p394)) % 0.48/0.96 (step @p398 :rule ho_cong :premises (@p397 @p385)) % 0.48/0.96 (step @p399 :rule cong :premises (@p398 @p396) :args ((= (_ (_ tptp.nth_list_a @t673) @t107) @t674))) % 0.48/0.96 (step @p400 :rule symm :premises (@p399)) % 0.48/0.96 (step @p401 :rule refl :args (@t675)) % 0.48/0.96 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.48/0.96 (step @p403 :rule refl :args (@t363)) % 0.48/0.96 (step @p404 :rule ho_cong :premises (@p403 @p391)) % 0.48/0.96 (step @p405 :rule cong :premises (@p404 @p394) :args ((= (_ @t363 @t672) @t673))) % 0.48/0.96 (step @p406 :rule symm :premises (@p405)) % 0.48/0.96 (step @p407 :rule refl :args (@t670)) % 0.48/0.96 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.48/0.96 (step @p409 :rule refl :args (tptp.divide_divide_nat)) % 0.48/0.96 (step @p410 :rule ho_cong :premises (@p409 @p389)) % 0.48/0.96 (step @p411 :rule ho_cong :premises (@p410 @p388)) % 0.48/0.96 (step @p412 :rule cong :premises (@p411 @p391) :args ((= (_ (_ tptp.divide_divide_nat @t671) @t51) @t672))) % 0.48/0.96 (step @p413 :rule symm :premises (@p412)) % 0.48/0.96 (step @p414 :rule refl :args (@t135)) % 0.48/0.96 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.48/0.96 (step @p416 :rule refl :args (@t41)) % 0.48/0.96 (step @p417 :rule cong :premises (@p416 @p389) :args ((= @t41 @t671))) % 0.48/0.96 (step @p418 :rule symm :premises (@p417)) % 0.48/0.96 (step @p419 :rule eq_resolve :premises (@p416 @p418)) % 0.48/0.96 (step @p420 :rule ho_cong :premises (@p409 @p419)) % 0.48/0.96 (step @p421 :rule ho_cong :premises (@p420 @p388)) % 0.48/0.96 (step @p422 :rule trans :premises (@p421 @p415)) % 0.48/0.96 (step @p423 :rule ho_cong :premises (@p403 @p422)) % 0.48/0.96 (step @p424 :rule trans :premises (@p423 @p408)) % 0.48/0.96 (step @p425 :rule ho_cong :premises (@p358 @p424)) % 0.48/0.96 (step @p426 :rule ho_cong :premises (@p425 @p385)) % 0.48/0.96 (step @p427 :rule trans :premises (@p426 @p402)) % 0.48/0.96 (step @p428 :rule refl :args ((tptp.nth_list_a @t131 @t107))) % 0.48/0.96 (step @p429 :rule refl :args (@t676)) % 0.48/0.96 (step @p430 :rule cong :premises (@p429 @p385) :args (@t677)) % 0.48/0.96 (step @p431 :rule trans :premises (@p430 @p428)) % 0.48/0.96 (step @p432 :rule ho_cong :premises (@p358 @p429)) % 0.48/0.96 (step @p433 :rule ho_cong :premises (@p432 @p385)) % 0.48/0.96 (step @p434 :rule cong :premises (@p433 @p431) :args ((= (_ (_ tptp.nth_list_a @t676) @t107) @t677))) % 0.48/0.96 (step @p435 :rule symm :premises (@p434)) % 0.48/0.96 (step @p436 :rule refl :args (@t132)) % 0.48/0.96 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.48/0.96 (step @p438 :rule refl :args (@t131)) % 0.48/0.96 (step @p439 :rule cong :premises (@p438 @p429) :args ((= @t131 @t676))) % 0.48/0.96 (step @p440 :rule symm :premises (@p439)) % 0.48/0.96 (step @p441 :rule eq_resolve :premises (@p438 @p440)) % 0.48/0.96 (step @p442 :rule ho_cong :premises (@p358 @p441)) % 0.48/0.96 (step @p443 :rule ho_cong :premises (@p442 @p385)) % 0.48/0.96 (step @p444 :rule trans :premises (@p443 @p437)) % 0.48/0.96 (step @p445 :rule cong :premises (@p444 @p427) :args (@t678)) % 0.48/0.96 (step @p446 :rule refl :args ((tptp.ord_less_nat @t107 @t135))) % 0.48/0.96 (step @p447 :rule cong :premises (@p385 @p391) :args (@t679)) % 0.48/0.96 (step @p448 :rule trans :premises (@p447 @p446)) % 0.48/0.96 (step @p449 :rule refl :args (@t111)) % 0.48/0.96 (step @p450 :rule ho_cong :premises (@p449 @p391)) % 0.48/0.96 (step @p451 :rule cong :premises (@p450 @p448) :args ((= (_ @t111 @t672) @t679))) % 0.48/0.96 (step @p452 :rule symm :premises (@p451)) % 0.48/0.96 (step @p453 :rule refl :args (@t136)) % 0.48/0.96 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 0.48/0.96 (step @p455 :rule ho_cong :premises (@p449 @p422)) % 0.48/0.96 (step @p456 :rule trans :premises (@p455 @p454)) % 0.48/0.96 (step @p457 :rule cong :premises (@p456) :args (@t680)) % 0.48/0.96 (step @p458 :rule nary_cong :premises (@p457 @p445) :args (@t681)) % 0.48/0.96 (step @p459 :rule cong :premises (@p458) :args ((forall @t138 @t681))) % 0.48/0.96 (step @p460 :rule bool-impl-elim :args (@t136 @t678)) % 0.48/0.96 (step @p461 :rule cong :premises (@p460) :args ((forall @t138 (=> @t136 @t678)))) % 0.48/0.96 (step @p462 :rule trans :premises (@p461 @p459)) % 0.48/0.96 (step @p463 :rule refl :args (@t107)) % 0.48/0.96 (step @p464 :rule beta-reduce :args ((= (_ @t682 @t51) @t670))) % 0.48/0.96 (step @p465 :rule refl :args (@t51)) % 0.48/0.96 (step @p466 :rule beta-reduce :args ((= @t683 @t682))) % 0.48/0.96 (step @p467 :rule ho_cong :premises (@p466 @p465)) % 0.48/0.96 (step @p468 :rule trans :premises (@p467 @p464)) % 0.48/0.96 (step @p469 :rule ho_cong :premises (@p370 @p468)) % 0.48/0.96 (step @p470 :rule ho_cong :premises (@p469 @p463)) % 0.48/0.96 (step @p471 :rule refl :args (@t132)) % 0.48/0.96 (step @p472 :rule cong :premises (@p471 @p470) :args (@t685)) % 0.48/0.96 (step @p473 :rule refl :args (@t136)) % 0.48/0.96 (step @p474 :rule cong :premises (@p473 @p472) :args (@t686)) % 0.48/0.96 (step @p475 :rule cong :premises (@p474) :args ((forall @t138 @t686))) % 0.48/0.96 (step @p476 :rule trans :premises (@p475 @p462)) % 0.48/0.96 (step @p477 :rule refl :args (@t37)) % 0.48/0.96 (step @p478 :rule ho_cong :premises (@p326 @p477)) % 0.48/0.96 (step @p479 :rule ho_cong :premises (@p478 @p465)) % 0.48/0.96 (step @p480 :rule ho_cong :premises (@p370 @p479)) % 0.48/0.96 (step @p481 :rule ho_cong :premises (@p480 @p463)) % 0.48/0.96 (step @p482 :rule cong :premises (@p471 @p481) :args (@t133)) % 0.48/0.96 (step @p483 :rule cong :premises (@p473 @p482) :args (@t137)) % 0.48/0.96 (step @p484 :rule cong :premises (@p483) :args (@t139)) % 0.48/0.96 (step @p485 :rule trans :premises (@p484 @p476)) % 0.48/0.96 (step @p486 :rule eq_resolve :premises (@p20 @p485)) % 0.48/0.96 (step @p487 :rule instantiate :premises (@p486) :args (@t687)) % 0.48/0.96 (step @p488 :rule refl :args ((tptp.ord_less_nat tptp.m @t609))) % 0.48/0.96 (step @p489 :rule refl :args ((tptp.divide_divide_nat @t608 tptp.k))) % 0.48/0.96 (step @p490 :rule refl :args (tptp.k)) % 0.48/0.96 (step @p491 :rule refl :args (@t688)) % 0.48/0.96 (step @p492 :rule cong :premises (@p491 @p490) :args (@t689)) % 0.48/0.96 (step @p493 :rule trans :premises (@p492 @p489)) % 0.48/0.96 (step @p494 :rule cong :premises (@p346 @p493) :args (@t690)) % 0.48/0.96 (step @p495 :rule trans :premises (@p494 @p488)) % 0.48/0.96 (step @p496 :rule refl :args (@t610)) % 0.48/0.96 (step @p497 :rule ho_cong :premises (@p496 @p493)) % 0.48/0.96 (step @p498 :rule cong :premises (@p497 @p495) :args ((= (_ @t610 @t689) @t690))) % 0.48/0.96 (step @p499 :rule symm :premises (@p498)) % 0.48/0.96 (step @p500 :rule refl :args (@t611)) % 0.48/0.96 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 0.48/0.96 (step @p502 :rule ho_cong :premises (@p409 @p491)) % 0.48/0.96 (step @p503 :rule ho_cong :premises (@p502 @p490)) % 0.48/0.96 (step @p504 :rule cong :premises (@p503 @p493) :args ((= (_ (_ tptp.divide_divide_nat @t688) tptp.k) @t689))) % 0.48/0.96 (step @p505 :rule symm :premises (@p504)) % 0.48/0.96 (step @p506 :rule refl :args (@t609)) % 0.48/0.96 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 0.48/0.96 (step @p508 :rule refl :args (@t608)) % 0.48/0.96 (step @p509 :rule cong :premises (@p508 @p491) :args ((= @t608 @t688))) % 0.48/0.96 (step @p510 :rule symm :premises (@p509)) % 0.48/0.96 (step @p511 :rule eq_resolve :premises (@p508 @p510)) % 0.48/0.96 (step @p512 :rule refl :args (tptp.divide_divide_nat)) % 0.48/0.96 (step @p513 :rule ho_cong :premises (@p512 @p511)) % 0.48/0.96 (step @p514 :rule ho_cong :premises (@p513 @p377)) % 0.48/0.96 (step @p515 :rule trans :premises (@p514 @p507)) % 0.48/0.96 (step @p516 :rule refl :args (@t610)) % 0.48/0.96 (step @p517 :rule ho_cong :premises (@p516 @p515)) % 0.48/0.96 (step @p518 :rule trans :premises (@p517 @p501)) % 0.48/0.96 (step @p519 :rule eq_resolve :premises (@p317 @p518)) % 0.48/0.96 (step @p520 :rule cnf_or_pos :args (@t694)) % 0.48/0.96 (step @p521 :rule reordering :premises (@p520) :args ((or @t693 @t692 (not @t694)))) % 0.48/0.96 (step @p522 :rule chain_m_resolution :premises (@p521 @p519 @p487) :args (@t692 @t695 (@list @t690 @t694))) % 0.48/0.96 (step @p523 :rule refl :args ((tptp.size_size_list_a @t675))) % 0.48/0.96 (step @p524 :rule cong :premises (@p396) :args (@t696)) % 0.48/0.96 (step @p525 :rule trans :premises (@p524 @p523)) % 0.48/0.96 (step @p526 :rule ho_cong :premises (@p352 @p396)) % 0.48/0.96 (step @p527 :rule cong :premises (@p526 @p525) :args ((= (_ tptp.size_size_list_a @t674) @t696))) % 0.48/0.96 (step @p528 :rule symm :premises (@p527)) % 0.48/0.96 (step @p529 :rule refl :args (@t697)) % 0.48/0.96 (step @p530 :rule eq_resolve :premises (@p529 @p528)) % 0.48/0.96 (step @p531 :rule ho_cong :premises (@p352 @p427)) % 0.48/0.96 (step @p532 :rule trans :premises (@p531 @p530)) % 0.48/0.96 (step @p533 :rule cong :premises (@p388 @p532) :args (@t698)) % 0.48/0.96 (step @p534 :rule nary_cong :premises (@p457 @p533) :args (@t699)) % 0.48/0.96 (step @p535 :rule cong :premises (@p534) :args ((forall @t138 @t699))) % 0.48/0.96 (step @p536 :rule bool-impl-elim :args (@t136 @t698)) % 0.48/0.96 (step @p537 :rule cong :premises (@p536) :args ((forall @t138 (=> @t136 @t698)))) % 0.48/0.96 (step @p538 :rule trans :premises (@p537 @p535)) % 0.48/0.96 (step @p539 :rule eq-symm :args (@t697 @t51)) % 0.48/0.96 (step @p540 :rule ho_cong :premises (@p374 @p470)) % 0.48/0.96 (step @p541 :rule cong :premises (@p540 @p465) :args (@t700)) % 0.48/0.96 (step @p542 :rule trans :premises (@p541 @p539)) % 0.48/0.96 (step @p543 :rule cong :premises (@p473 @p542) :args (@t701)) % 0.48/0.96 (step @p544 :rule cong :premises (@p543) :args ((forall @t138 @t701))) % 0.48/0.96 (step @p545 :rule trans :premises (@p544 @p538)) % 0.48/0.96 (step @p546 :rule ho_cong :premises (@p374 @p481)) % 0.48/0.96 (step @p547 :rule cong :premises (@p546 @p465) :args (@t165)) % 0.48/0.96 (step @p548 :rule cong :premises (@p473 @p547) :args (@t166)) % 0.48/0.96 (step @p549 :rule cong :premises (@p548) :args (@t167)) % 0.48/0.96 (step @p550 :rule trans :premises (@p549 @p545)) % 0.48/0.96 (step @p551 :rule eq_resolve :premises (@p30 @p550)) % 0.48/0.96 (step @p552 :rule instantiate :premises (@p551) :args (@t687)) % 0.48/0.96 (step @p553 :rule cnf_or_pos :args (@t704)) % 0.48/0.96 (step @p554 :rule reordering :premises (@p553) :args ((or @t693 @t703 (not @t704)))) % 0.48/0.96 (step @p555 :rule chain_m_resolution :premises (@p554 @p519 @p552) :args (@t703 @t695 (@list @t690 @t704))) % 0.48/0.96 (step @p556 :rule refl :args (@t705)) % 0.48/0.96 (step @p557 :rule refl :args (@t706)) % 0.48/0.96 (step @p558 :rule bool-double-not-elim :args (@t707)) % 0.48/0.96 (step @p559 :rule nary_cong :premises (@p558 @p557 @p556) :args ((or (not @t708) @t706 @t705))) % 0.48/0.96 (assume-push @p576 @t708) % 0.48/0.96 (assume-push @p577 @t692) % 0.48/0.96 (step @p562 :rule false_intro :premises (@p383)) % 0.48/0.96 (step @p563 :rule symm :premises (@p522)) % 0.48/0.96 (step @p564 :rule cong :premises (@p563) :args (@t702)) % 0.48/0.96 (step @p565 :rule cong :premises (@p377 @p564) :args (@t703)) % 0.48/0.96 (step @p566 :rule trans :premises (@p565 @p562)) % 0.48/0.96 (step @p567 :rule false_elim :premises (@p566)) % 0.48/0.96 (step-pop @p578 :rule scope :premises (@p567)) % 0.48/0.96 (step-pop @p579 :rule scope :premises (@p578)) % 0.48/0.96 (step @p568 :rule process_scope :premises (@p579) :args (@t705)) % 0.48/0.96 (step @p571 :rule implies_elim :premises (@p568)) % 0.48/0.96 (step @p572 :rule cnf_and_neg :args (@t709)) % 0.48/0.96 (step @p573 :rule resolution :premises (@p572 @p571) :args (true @t709)) % 0.48/0.96 (step @p574 :rule eq_resolve :premises (@p573 @p559)) % 0.48/0.96 (step @p575 false :rule chain_m_resolution :premises (@p574 @p555 @p522 @p383) :args (false (@list false false true) (@list @t703 @t692 @t707))) % 0.48/0.96 ) % 0.48/0.96 % SZS output end Proof % 0.48/0.96 % cvc5 exiting %------------------------------------------------------------------------------