%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473^2 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:05:03 AM UTC 2026 % Result : Theorem 151.30s 151.69s % Output : Proof 150.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW473^2 : TPTP v9.2.1. Released v5.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 17:07:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.21/0.47 %----Proving TH0 % 151.30/151.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.30/151.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.30/151.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.30/151.69 --- Run --ho-elim --full-saturate-quant at 18s... % 151.30/151.69 % SZS status Theorem % 151.30/151.69 % SZS output start Proof % 151.30/151.69 ( % 151.30/151.69 (declare-sort tptp.nat 0) % 151.30/151.69 (declare-sort tptp.option_com 0) % 151.30/151.69 (declare-sort tptp.com 0) % 151.30/151.69 (declare-sort tptp.pname 0) % 151.30/151.69 (declare-sort tptp.x_a 0) % 151.30/151.69 (declare-const tptp.pn tptp.pname) % 151.30/151.69 (declare-const tptp.g (-> tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.30/151.69 (declare-const tptp.body (-> tptp.pname tptp.option_com)) % 151.30/151.69 (declare-const tptp.fequal_pname (-> tptp.pname tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.fequal_nat (-> tptp.nat tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.fequal_a (-> tptp.x_a tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_nat tptp.nat) % 151.30/151.69 (declare-const tptp.fequal_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_o Bool) % 151.30/151.69 (declare-const tptp.bot_bot_a_o_o (-> (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_nat_o_o (-> (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.fequal_a_o (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_pname_o (-> tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.fequal_pname_o (-> (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_nat_o (-> tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.wt (-> tptp.com Bool)) % 151.30/151.69 (declare-const tptp.mgt_call (-> tptp.pname tptp.x_a)) % 151.30/151.69 (declare-const tptp.image_a_a_o (-> (-> tptp.x_a tptp.x_a Bool) (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_a_pname_o (-> (-> tptp.x_a tptp.pname Bool) (-> tptp.x_a Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_a_nat_o (-> (-> tptp.x_a tptp.nat Bool) (-> tptp.x_a Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.one_one_nat tptp.nat) % 151.30/151.69 (declare-const tptp.image_nat_nat (-> (-> tptp.nat tptp.nat) (-> tptp.nat Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.30/151.69 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.collect_pname (-> (-> tptp.pname Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.collect_a (-> (-> tptp.x_a Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.image_nat_a_o (-> (-> tptp.nat tptp.x_a Bool) (-> tptp.nat Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_finite_pname (-> (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_pname_a_o (-> (-> tptp.pname tptp.x_a Bool) (-> tptp.pname Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.na tptp.nat) % 151.30/151.69 (declare-const tptp.collect_pname_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_pname_nat_o (-> (-> tptp.pname tptp.nat Bool) (-> tptp.pname Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.collect_pname_o (-> (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.collect_nat_o (-> (-> (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_nat_pname_o (-> (-> tptp.nat tptp.pname Bool) (-> tptp.nat Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.member_nat (-> tptp.nat (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.member_pname (-> tptp.pname (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_pname_o (-> (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_a_a (-> (-> tptp.x_a tptp.x_a) (-> tptp.x_a Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.collect_a_o (-> (-> (-> tptp.x_a Bool) Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_o (-> Bool Bool Bool)) % 151.30/151.69 (declare-const tptp.p (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_card_nat (-> (-> tptp.nat Bool) tptp.nat)) % 151.30/151.69 (declare-const tptp.image_nat_nat_o (-> (-> tptp.nat tptp.nat Bool) (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_finite_a_o (-> (-> (-> tptp.x_a Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_finite_nat (-> (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.member_a (-> tptp.x_a (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.collect_nat_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_card_pname (-> (-> tptp.pname Bool) tptp.nat)) % 151.30/151.69 (declare-const tptp.image_a_o_a (-> (-> (-> tptp.x_a Bool) tptp.x_a) (-> (-> tptp.x_a Bool) Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.member_nat_o (-> (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_nat_o_o (-> (-> (-> tptp.nat Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_finite_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_finite_nat_o (-> (-> (-> tptp.nat Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite1676163439at_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.member_a_o (-> (-> tptp.x_a Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_a_o_o (-> (-> (-> tptp.x_a Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_finite_a (-> (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_nat_a (-> (-> tptp.nat tptp.x_a) (-> tptp.nat Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.mgt (-> tptp.com tptp.x_a)) % 151.30/151.69 (declare-const tptp.collect_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_card_nat_o (-> (-> (-> tptp.nat Bool) Bool) tptp.nat)) % 151.30/151.69 (declare-const tptp.finite1066544169me_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.member_pname_o (-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.ord_le1205211808me_o_o (-> (-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite297249702name_o (-> (-> (-> tptp.pname Bool) Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_pname_nat (-> (-> tptp.pname tptp.nat) (-> tptp.pname Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.image_a_pname (-> (-> tptp.x_a tptp.pname) (-> tptp.x_a Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.image_pname_pname_o (-> (-> tptp.pname tptp.pname Bool) (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.finite_card_pname_o (-> (-> (-> tptp.pname Bool) Bool) tptp.nat)) % 151.30/151.69 (declare-const tptp.image_nat_o_pname (-> (-> (-> tptp.nat Bool) tptp.pname) (-> (-> tptp.nat Bool) Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.image_pname_o_pname (-> (-> (-> tptp.pname Bool) tptp.pname) (-> (-> tptp.pname Bool) Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.image_a_o_pname (-> (-> (-> tptp.x_a Bool) tptp.pname) (-> (-> tptp.x_a Bool) Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.image_a_nat (-> (-> tptp.x_a tptp.nat) (-> tptp.x_a Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.image_nat_o_nat (-> (-> (-> tptp.nat Bool) tptp.nat) (-> (-> tptp.nat Bool) Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.image_pname_o_nat (-> (-> (-> tptp.pname Bool) tptp.nat) (-> (-> tptp.pname Bool) Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.image_a_o_nat (-> (-> (-> tptp.x_a Bool) tptp.nat) (-> (-> tptp.x_a Bool) Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.finite_card_a (-> (-> tptp.x_a Bool) tptp.nat)) % 151.30/151.69 (declare-const tptp.image_pname_a (-> (-> tptp.pname tptp.x_a) (-> tptp.pname Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.nat_case_o (-> Bool (-> tptp.nat Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.insert_nat_o (-> (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) Bool)) % 151.30/151.69 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 151.30/151.69 (declare-const tptp.insert_pname_o (-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.zero_zero_nat tptp.nat) % 151.30/151.69 (declare-const tptp.insert_a_o (-> (-> tptp.x_a Bool) (-> (-> tptp.x_a Bool) Bool) (-> tptp.x_a Bool) Bool)) % 151.30/151.69 (declare-const tptp.image_nat_o_a (-> (-> (-> tptp.nat Bool) tptp.x_a) (-> (-> tptp.nat Bool) Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_pname_o_o (-> (-> tptp.pname Bool) Bool)) % 151.30/151.69 (declare-const tptp.insert_pname (-> tptp.pname (-> tptp.pname Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.bot_bot_a_o (-> tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.insert_nat (-> tptp.nat (-> tptp.nat Bool) tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.the_com (-> tptp.option_com tptp.com)) % 151.30/151.69 (declare-const tptp.insert_a (-> tptp.x_a (-> tptp.x_a Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.image_pname_pname (-> (-> tptp.pname tptp.pname) (-> tptp.pname Bool) tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.u (-> tptp.pname Bool)) % 151.30/151.69 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 151.30/151.69 (declare-const tptp.image_pname_o_a (-> (-> (-> tptp.pname Bool) tptp.x_a) (-> (-> tptp.pname Bool) Bool) tptp.x_a Bool)) % 151.30/151.69 (declare-const tptp.finite_card_a_o (-> (-> (-> tptp.x_a Bool) Bool) tptp.nat)) % 151.30/151.69 (declare-const tptp.image_nat_pname (-> (-> tptp.nat tptp.pname) (-> tptp.nat Bool) tptp.pname Bool)) % 151.30/151.69 (define @t1 () (@var "Ts" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t2 () (@var "G" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t3 () (_ tptp.p @t2)) % 151.30/151.69 (define @t4 () (@var "A_92" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t5 () (@var "B_47" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t6 () (@var "A_92" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t7 () (@var "B_47" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t8 () (@var "A_92" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t9 () (@var "B_47" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t10 () (@var "A_92" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t11 () (@var "B_47" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t12 () (@var "A_92" (-> tptp.pname Bool))) % 151.30/151.69 (define @t13 () (@var "B_47" (-> tptp.pname Bool))) % 151.30/151.69 (define @t14 () (@var "A_92" (-> tptp.nat Bool))) % 151.30/151.69 (define @t15 () (@var "B_47" (-> tptp.nat Bool))) % 151.30/151.69 (define @t16 () (@var "F_25" (-> tptp.pname Bool))) % 151.30/151.69 (define @t17 () (@var "H" (-> tptp.pname tptp.nat Bool))) % 151.30/151.69 (define @t18 () (_ tptp.finite_finite_pname @t16)) % 151.30/151.69 (define @t19 () (@var "H" (-> tptp.pname tptp.pname Bool))) % 151.30/151.69 (define @t20 () (@var "H" (-> tptp.pname tptp.x_a Bool))) % 151.30/151.69 (define @t21 () (@var "F_25" (-> tptp.nat Bool))) % 151.30/151.69 (define @t22 () (@var "H" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t23 () (_ tptp.finite_finite_nat @t21)) % 151.30/151.69 (define @t24 () (@var "H" (-> tptp.nat tptp.nat Bool))) % 151.30/151.69 (define @t25 () (@var "H" (-> tptp.nat tptp.pname Bool))) % 151.30/151.69 (define @t26 () (@var "H" (-> tptp.nat tptp.x_a Bool))) % 151.30/151.69 (define @t27 () (@var "F_25" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t28 () (@var "H" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t29 () (_ tptp.finite_finite_a @t27)) % 151.30/151.69 (define @t30 () (@var "F_25" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t31 () (@var "H" (-> (-> tptp.nat Bool) tptp.pname))) % 151.30/151.69 (define @t32 () (_ tptp.finite_finite_nat_o @t30)) % 151.30/151.69 (define @t33 () (@var "F_25" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t34 () (@var "H" (-> (-> tptp.pname Bool) tptp.pname))) % 151.30/151.69 (define @t35 () (_ tptp.finite297249702name_o @t33)) % 151.30/151.69 (define @t36 () (@var "F_25" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t37 () (@var "H" (-> (-> tptp.x_a Bool) tptp.pname))) % 151.30/151.69 (define @t38 () (_ tptp.finite_finite_a_o @t36)) % 151.30/151.69 (define @t39 () (@var "H" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t40 () (@var "H" (-> (-> tptp.nat Bool) tptp.nat))) % 151.30/151.69 (define @t41 () (@var "H" (-> (-> tptp.pname Bool) tptp.nat))) % 151.30/151.69 (define @t42 () (@var "H" (-> (-> tptp.x_a Bool) tptp.nat))) % 151.30/151.69 (define @t43 () (@var "H" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t44 () (@var "A_90" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t45 () (@var "A_91" (-> tptp.nat Bool))) % 151.30/151.69 (define @t46 () (@var "A_90" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t47 () (@var "A_91" (-> tptp.pname Bool))) % 151.30/151.69 (define @t48 () (@var "A_90" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t49 () (@var "A_91" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t50 () (@var "A_90" (-> tptp.pname Bool))) % 151.30/151.69 (define @t51 () (@var "A_91" tptp.pname)) % 151.30/151.69 (define @t52 () (@var "A_90" (-> tptp.nat Bool))) % 151.30/151.69 (define @t53 () (@var "A_91" tptp.nat)) % 151.30/151.69 (define @t54 () (@var "A_90" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t55 () (@var "A_91" tptp.x_a)) % 151.30/151.69 (define @t56 () (@var "A_89" (-> tptp.pname Bool))) % 151.30/151.69 (define @t57 () (_ tptp.finite_card_pname @t56)) % 151.30/151.69 (define @t58 () (@var "F_24" (-> tptp.pname tptp.pname))) % 151.30/151.69 (define @t59 () (_ tptp.finite_finite_pname @t56)) % 151.30/151.69 (define @t60 () (@var "A_89" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t61 () (_ tptp.finite_card_a @t60)) % 151.30/151.69 (define @t62 () (@var "F_24" (-> tptp.x_a tptp.x_a))) % 151.30/151.69 (define @t63 () (_ tptp.finite_finite_a @t60)) % 151.30/151.69 (define @t64 () (@var "A_89" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t65 () (_ tptp.finite_card_nat_o @t64)) % 151.30/151.69 (define @t66 () (@var "F_24" (-> (-> tptp.nat Bool) tptp.x_a))) % 151.30/151.69 (define @t67 () (_ tptp.finite_finite_nat_o @t64)) % 151.30/151.69 (define @t68 () (@var "A_89" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t69 () (_ tptp.finite_card_pname_o @t68)) % 151.30/151.69 (define @t70 () (@var "F_24" (-> (-> tptp.pname Bool) tptp.x_a))) % 151.30/151.69 (define @t71 () (_ tptp.finite297249702name_o @t68)) % 151.30/151.69 (define @t72 () (@var "A_89" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t73 () (_ tptp.finite_card_a_o @t72)) % 151.30/151.69 (define @t74 () (@var "F_24" (-> (-> tptp.x_a Bool) tptp.x_a))) % 151.30/151.69 (define @t75 () (_ tptp.finite_finite_a_o @t72)) % 151.30/151.69 (define @t76 () (@var "F_24" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t77 () (@var "F_24" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t78 () (@var "F_24" (-> (-> tptp.nat Bool) tptp.nat))) % 151.30/151.69 (define @t79 () (@var "F_24" (-> (-> tptp.pname Bool) tptp.nat))) % 151.30/151.69 (define @t80 () (@var "F_24" (-> (-> tptp.x_a Bool) tptp.nat))) % 151.30/151.69 (define @t81 () (@var "F_24" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t82 () (@var "A_89" (-> tptp.nat Bool))) % 151.30/151.69 (define @t83 () (@var "F_24" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t84 () (@var "F_24" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t85 () (@var "B_46" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t86 () (@var "A_88" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t87 () (@var "B_46" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t88 () (@var "A_88" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t89 () (@var "B_46" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t90 () (@var "A_88" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t91 () (@var "B_46" (-> tptp.pname Bool))) % 151.30/151.69 (define @t92 () (@var "A_88" (-> tptp.pname Bool))) % 151.30/151.69 (define @t93 () (@var "B_46" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t94 () (@var "A_88" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t95 () (@var "B_46" (-> tptp.nat Bool))) % 151.30/151.69 (define @t96 () (@var "A_88" (-> tptp.nat Bool))) % 151.30/151.69 (define @t97 () (@var "B_45" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t98 () (@var "A_87" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t99 () (@var "B_45" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t100 () (@var "A_87" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t101 () (@var "B_45" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t102 () (@var "A_87" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t103 () (@var "B_45" (-> tptp.pname Bool))) % 151.30/151.69 (define @t104 () (@var "A_87" (-> tptp.pname Bool))) % 151.30/151.69 (define @t105 () (@var "B_45" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t106 () (@var "A_87" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t107 () (@var "B_45" (-> tptp.nat Bool))) % 151.30/151.69 (define @t108 () (@var "A_87" (-> tptp.nat Bool))) % 151.30/151.69 (define @t109 () (@var "A_86" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t110 () (@var "X_33" (-> tptp.nat Bool))) % 151.30/151.69 (define @t111 () (@var "A_86" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t112 () (@var "X_33" (-> tptp.pname Bool))) % 151.30/151.69 (define @t113 () (@var "A_86" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t114 () (@var "X_33" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t115 () (@var "A_86" (-> tptp.pname Bool))) % 151.30/151.69 (define @t116 () (@var "X_33" tptp.pname)) % 151.30/151.69 (define @t117 () (@var "A_86" (-> tptp.nat Bool))) % 151.30/151.69 (define @t118 () (@var "X_33" tptp.nat)) % 151.30/151.69 (define @t119 () (@var "A_86" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t120 () (@var "X_33" tptp.x_a)) % 151.30/151.69 (define @t121 () (@var "A_85" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t122 () (_ tptp.finite_card_nat_o @t121)) % 151.30/151.69 (define @t123 () (@var "X_32" (-> tptp.nat Bool))) % 151.30/151.69 (define @t124 () (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t123) @t121))) % 151.30/151.69 (define @t125 () (_ (_ tptp.member_nat_o @t123) @t121)) % 151.30/151.69 (define @t126 () (@var "A_85" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t127 () (_ tptp.finite_card_pname_o @t126)) % 151.30/151.69 (define @t128 () (@var "X_32" (-> tptp.pname Bool))) % 151.30/151.69 (define @t129 () (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t128) @t126))) % 151.30/151.69 (define @t130 () (_ (_ tptp.member_pname_o @t128) @t126)) % 151.30/151.69 (define @t131 () (@var "A_85" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t132 () (_ tptp.finite_card_a_o @t131)) % 151.30/151.69 (define @t133 () (@var "X_32" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t134 () (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t133) @t131))) % 151.30/151.69 (define @t135 () (_ (_ tptp.member_a_o @t133) @t131)) % 151.30/151.69 (define @t136 () (@var "A_85" (-> tptp.nat Bool))) % 151.30/151.69 (define @t137 () (_ tptp.finite_card_nat @t136)) % 151.30/151.69 (define @t138 () (@var "X_32" tptp.nat)) % 151.30/151.69 (define @t139 () (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t138) @t136))) % 151.30/151.69 (define @t140 () (_ (_ tptp.member_nat @t138) @t136)) % 151.30/151.69 (define @t141 () (@var "A_85" (-> tptp.pname Bool))) % 151.30/151.69 (define @t142 () (_ tptp.finite_card_pname @t141)) % 151.30/151.69 (define @t143 () (@var "X_32" tptp.pname)) % 151.30/151.69 (define @t144 () (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t143) @t141))) % 151.30/151.69 (define @t145 () (_ (_ tptp.member_pname @t143) @t141)) % 151.30/151.69 (define @t146 () (@var "A_85" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t147 () (_ tptp.finite_card_a @t146)) % 151.30/151.69 (define @t148 () (@var "X_32" tptp.x_a)) % 151.30/151.69 (define @t149 () (_ tptp.finite_card_a (_ (_ tptp.insert_a @t148) @t146))) % 151.30/151.69 (define @t150 () (_ (_ tptp.member_a @t148) @t146)) % 151.30/151.69 (define @t151 () (@var "A_84" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t152 () (@var "X_31" (-> tptp.nat Bool))) % 151.30/151.69 (define @t153 () (@var "A_84" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t154 () (@var "X_31" (-> tptp.pname Bool))) % 151.30/151.69 (define @t155 () (@var "A_84" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t156 () (@var "X_31" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t157 () (@var "A_84" (-> tptp.nat Bool))) % 151.30/151.69 (define @t158 () (@var "X_31" tptp.nat)) % 151.30/151.69 (define @t159 () (@var "A_84" (-> tptp.pname Bool))) % 151.30/151.69 (define @t160 () (@var "X_31" tptp.pname)) % 151.30/151.69 (define @t161 () (@var "A_84" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t162 () (@var "X_31" tptp.x_a)) % 151.30/151.69 (define @t163 () (@var "X_1" tptp.x_a)) % 151.30/151.69 (define @t164 () (@var "Q_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t165 () (@var "P_10" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t166 () (@list @t163)) % 151.30/151.69 (define @t167 () (@var "X_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t168 () (@var "Q_1" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t169 () (@var "P_10" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t170 () (@list @t167)) % 151.30/151.69 (define @t171 () (@var "X_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t172 () (@var "Q_1" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t173 () (@var "P_10" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t174 () (@list @t171)) % 151.30/151.69 (define @t175 () (@var "X_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t176 () (@var "Q_1" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t177 () (@var "P_10" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t178 () (@list @t175)) % 151.30/151.69 (define @t179 () (@var "X_1" tptp.pname)) % 151.30/151.69 (define @t180 () (@var "Q_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t181 () (@var "P_10" (-> tptp.pname Bool))) % 151.30/151.69 (define @t182 () (@list @t179)) % 151.30/151.69 (define @t183 () (@var "X_1" tptp.nat)) % 151.30/151.69 (define @t184 () (@var "Q_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t185 () (@var "P_10" (-> tptp.nat Bool))) % 151.30/151.69 (define @t186 () (@list @t183)) % 151.30/151.69 (define @t187 () (@var "N" tptp.nat)) % 151.30/151.69 (define @t188 () (@var "M" tptp.nat)) % 151.30/151.69 (define @t189 () (_ tptp.minus_minus_nat @t188)) % 151.30/151.69 (define @t190 () (_ @t189 @t187)) % 151.30/151.69 (define @t191 () (_ tptp.suc @t188)) % 151.30/151.69 (define @t192 () (_ tptp.minus_minus_nat @t191)) % 151.30/151.69 (define @t193 () (_ @t192 @t187)) % 151.30/151.69 (define @t194 () (_ tptp.ord_less_eq_nat @t187)) % 151.30/151.69 (define @t195 () (_ @t194 @t188)) % 151.30/151.69 (define @t196 () (@list @t187 @t188)) % 151.30/151.69 (define @t197 () (@var "K" tptp.nat)) % 151.30/151.69 (define @t198 () (@var "N_2" tptp.nat)) % 151.30/151.69 (define @t199 () (_ tptp.ord_less_eq_nat @t198)) % 151.30/151.69 (define @t200 () (@list @t198)) % 151.30/151.69 (define @t201 () (@list @t197)) % 151.30/151.69 (define @t202 () (_ tptp.suc @t187)) % 151.30/151.69 (define @t203 () (@var "I_1" tptp.nat)) % 151.30/151.69 (define @t204 () (@list @t203)) % 151.30/151.69 (define @t205 () (@list @t187)) % 151.30/151.69 (define @t206 () (@var "Y" tptp.nat)) % 151.30/151.69 (define @t207 () (@var "X" tptp.nat)) % 151.30/151.69 (define @t208 () (= @t207 @t206)) % 151.30/151.69 (define @t209 () (@list @t207 @t206)) % 151.30/151.69 (define @t210 () (@var "Nat" tptp.nat)) % 151.30/151.69 (define @t211 () (@var "Nat_2" tptp.nat)) % 151.30/151.69 (define @t212 () (_ tptp.suc @t210)) % 151.30/151.69 (define @t213 () (= @t188 @t187)) % 151.30/151.69 (define @t214 () (_ tptp.ord_less_eq_nat @t188)) % 151.30/151.69 (define @t215 () (_ @t214 @t187)) % 151.30/151.69 (define @t216 () (@list @t188 @t187)) % 151.30/151.69 (define @t217 () (@var "I" tptp.nat)) % 151.30/151.69 (define @t218 () (_ tptp.ord_less_eq_nat @t217)) % 151.30/151.69 (define @t219 () (@var "J_1" tptp.nat)) % 151.30/151.69 (define @t220 () (_ tptp.ord_less_eq_nat @t219)) % 151.30/151.69 (define @t221 () (_ @t218 @t219)) % 151.30/151.69 (define @t222 () (@list @t197 @t217 @t219)) % 151.30/151.69 (define @t223 () (_ tptp.minus_minus_nat @t217)) % 151.30/151.69 (define @t224 () (_ (_ tptp.minus_minus_nat (_ @t223 @t219)) @t197)) % 151.30/151.69 (define @t225 () (@list @t217 @t219 @t197)) % 151.30/151.69 (define @t226 () (@var "Q" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t227 () (@var "P_9" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t228 () (@var "Q" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t229 () (@var "P_9" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t230 () (@var "Q" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t231 () (@var "P_9" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t232 () (@var "Q" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t233 () (@var "P_9" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t234 () (@var "Q" (-> tptp.pname Bool))) % 151.30/151.69 (define @t235 () (@var "P_9" (-> tptp.pname Bool))) % 151.30/151.69 (define @t236 () (@var "Q" (-> tptp.nat Bool))) % 151.30/151.69 (define @t237 () (@var "P_9" (-> tptp.nat Bool))) % 151.30/151.69 (define @t238 () (@var "A_82" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t239 () (@var "A_83" (-> tptp.nat Bool))) % 151.30/151.69 (define @t240 () (@var "A_82" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t241 () (@var "A_83" (-> tptp.pname Bool))) % 151.30/151.69 (define @t242 () (@var "A_82" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t243 () (@var "A_83" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t244 () (@var "A_82" (-> tptp.pname Bool))) % 151.30/151.69 (define @t245 () (@var "A_83" tptp.pname)) % 151.30/151.69 (define @t246 () (@var "A_82" (-> tptp.nat Bool))) % 151.30/151.69 (define @t247 () (@var "A_83" tptp.nat)) % 151.30/151.69 (define @t248 () (@var "A_82" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t249 () (@var "A_83" tptp.x_a)) % 151.30/151.69 (define @t250 () (@var "A_81" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t251 () (@var "B_44" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t252 () (@var "A_81" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t253 () (@var "B_44" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t254 () (@var "A_81" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t255 () (@var "B_44" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t256 () (@var "A_81" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t257 () (@var "B_44" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t258 () (@var "A_81" (-> tptp.pname Bool))) % 151.30/151.69 (define @t259 () (@var "B_44" (-> tptp.pname Bool))) % 151.30/151.69 (define @t260 () (@var "A_81" (-> tptp.nat Bool))) % 151.30/151.69 (define @t261 () (@var "B_44" (-> tptp.nat Bool))) % 151.30/151.69 (define @t262 () (@var "A_80" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t263 () (@var "B_43" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t264 () (@var "A_80" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t265 () (@var "B_43" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t266 () (@var "A_80" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t267 () (@var "B_43" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t268 () (@var "A_80" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t269 () (@var "B_43" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t270 () (@var "A_80" (-> tptp.pname Bool))) % 151.30/151.69 (define @t271 () (@var "B_43" (-> tptp.pname Bool))) % 151.30/151.69 (define @t272 () (@var "A_80" (-> tptp.nat Bool))) % 151.30/151.69 (define @t273 () (@var "B_43" (-> tptp.nat Bool))) % 151.30/151.69 (define @t274 () (_ (_ tptp.ord_less_eq_nat @t191) @t187)) % 151.30/151.69 (define @t275 () (= @t188 @t202)) % 151.30/151.69 (define @t276 () (not @t215)) % 151.30/151.69 (define @t277 () (_ @t214 @t202)) % 151.30/151.69 (define @t278 () (_ tptp.ord_less_eq_nat @t202)) % 151.30/151.69 (define @t279 () (_ @t278 @t188)) % 151.30/151.69 (define @t280 () (@list @t188 @t187 @t197)) % 151.30/151.69 (define @t281 () (_ tptp.minus_minus_nat @t187)) % 151.30/151.69 (define @t282 () (_ @t281 @t197)) % 151.30/151.69 (define @t283 () (_ @t189 @t197)) % 151.30/151.69 (define @t284 () (_ tptp.ord_less_eq_nat @t197)) % 151.30/151.69 (define @t285 () (_ @t284 @t187)) % 151.30/151.69 (define @t286 () (_ @t284 @t188)) % 151.30/151.69 (define @t287 () (@list @t187 @t197 @t188)) % 151.30/151.69 (define @t288 () (@var "L" tptp.nat)) % 151.30/151.69 (define @t289 () (@list @t288 @t188 @t187)) % 151.30/151.69 (define @t290 () (_ tptp.minus_minus_nat @t288)) % 151.30/151.69 (define @t291 () (_ @t290 @t188)) % 151.30/151.69 (define @t292 () (_ @t290 @t187)) % 151.30/151.69 (define @t293 () (@var "B_42" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t294 () (_ tptp.finite_finite_a @t293)) % 151.30/151.69 (define @t295 () (@var "A_79" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t296 () (@var "F_23" (-> tptp.x_a tptp.x_a))) % 151.30/151.69 (define @t297 () (_ tptp.ord_less_eq_a_o @t293)) % 151.30/151.69 (define @t298 () (_ tptp.finite_finite_a @t295)) % 151.30/151.69 (define @t299 () (@var "A_79" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t300 () (@var "F_23" (-> (-> tptp.nat Bool) tptp.x_a))) % 151.30/151.69 (define @t301 () (_ tptp.finite_finite_nat_o @t299)) % 151.30/151.69 (define @t302 () (@var "A_79" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t303 () (@var "F_23" (-> (-> tptp.pname Bool) tptp.x_a))) % 151.30/151.69 (define @t304 () (_ tptp.finite297249702name_o @t302)) % 151.30/151.69 (define @t305 () (@var "A_79" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t306 () (@var "F_23" (-> (-> tptp.x_a Bool) tptp.x_a))) % 151.30/151.69 (define @t307 () (_ tptp.finite_finite_a_o @t305)) % 151.30/151.69 (define @t308 () (@var "B_42" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t309 () (_ tptp.finite_finite_nat_o @t308)) % 151.30/151.69 (define @t310 () (@var "A_79" (-> tptp.pname Bool))) % 151.30/151.69 (define @t311 () (@var "F_23" (-> tptp.pname tptp.nat Bool))) % 151.30/151.69 (define @t312 () (_ tptp.ord_less_eq_nat_o_o @t308)) % 151.30/151.69 (define @t313 () (_ tptp.finite_finite_pname @t310)) % 151.30/151.69 (define @t314 () (@var "B_42" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t315 () (_ tptp.finite297249702name_o @t314)) % 151.30/151.69 (define @t316 () (@var "F_23" (-> tptp.pname tptp.pname Bool))) % 151.30/151.69 (define @t317 () (_ tptp.ord_le1205211808me_o_o @t314)) % 151.30/151.69 (define @t318 () (@var "B_42" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t319 () (_ tptp.finite_finite_a_o @t318)) % 151.30/151.69 (define @t320 () (@var "F_23" (-> tptp.pname tptp.x_a Bool))) % 151.30/151.69 (define @t321 () (_ tptp.ord_less_eq_a_o_o @t318)) % 151.30/151.69 (define @t322 () (@var "B_42" (-> tptp.pname Bool))) % 151.30/151.69 (define @t323 () (_ tptp.finite_finite_pname @t322)) % 151.30/151.69 (define @t324 () (@var "F_23" (-> tptp.pname tptp.pname))) % 151.30/151.69 (define @t325 () (_ tptp.ord_less_eq_pname_o @t322)) % 151.30/151.69 (define @t326 () (@var "B_42" (-> tptp.nat Bool))) % 151.30/151.69 (define @t327 () (_ tptp.finite_finite_nat @t326)) % 151.30/151.69 (define @t328 () (@var "F_23" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t329 () (_ tptp.ord_less_eq_nat_o @t326)) % 151.30/151.69 (define @t330 () (@var "A_79" (-> tptp.nat Bool))) % 151.30/151.69 (define @t331 () (@var "F_23" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t332 () (_ tptp.finite_finite_nat @t330)) % 151.30/151.69 (define @t333 () (@var "F_23" (-> tptp.nat tptp.nat Bool))) % 151.30/151.69 (define @t334 () (@var "F_23" (-> tptp.nat tptp.pname Bool))) % 151.30/151.69 (define @t335 () (@var "F_23" (-> tptp.nat tptp.x_a Bool))) % 151.30/151.69 (define @t336 () (@var "F_23" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t337 () (@var "F_23" (-> tptp.nat tptp.nat))) % 151.30/151.69 (define @t338 () (@var "F_23" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t339 () (@var "F_23" (-> (-> tptp.nat Bool) tptp.pname))) % 151.30/151.69 (define @t340 () (@var "F_23" (-> (-> tptp.pname Bool) tptp.pname))) % 151.30/151.69 (define @t341 () (@var "F_23" (-> (-> tptp.x_a Bool) tptp.pname))) % 151.30/151.69 (define @t342 () (@var "F_23" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t343 () (@var "F_23" (-> (-> tptp.nat Bool) tptp.nat))) % 151.30/151.69 (define @t344 () (@var "F_23" (-> (-> tptp.pname Bool) tptp.nat))) % 151.30/151.69 (define @t345 () (@var "F_23" (-> (-> tptp.x_a Bool) tptp.nat))) % 151.30/151.69 (define @t346 () (@var "F_23" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t347 () (@var "C_12" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t348 () (@var "F_22" (-> (-> tptp.nat Bool) tptp.x_a))) % 151.30/151.69 (define @t349 () (_ tptp.image_nat_o_a @t348)) % 151.30/151.69 (define @t350 () (@var "B_41" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t351 () (_ tptp.finite_finite_nat_o @t347)) % 151.30/151.69 (define @t352 () (@var "A_78" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t353 () (_ (_ tptp.ord_less_eq_nat_o_o @t347) @t352)) % 151.30/151.69 (define @t354 () (@list @t347)) % 151.30/151.69 (define @t355 () (_ tptp.ord_less_eq_a_o @t350)) % 151.30/151.69 (define @t356 () (_ tptp.finite_finite_a @t350)) % 151.30/151.69 (define @t357 () (@var "C_12" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t358 () (@var "F_22" (-> (-> tptp.pname Bool) tptp.x_a))) % 151.30/151.69 (define @t359 () (_ tptp.image_pname_o_a @t358)) % 151.30/151.69 (define @t360 () (_ tptp.finite297249702name_o @t357)) % 151.30/151.69 (define @t361 () (@var "A_78" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t362 () (_ (_ tptp.ord_le1205211808me_o_o @t357) @t361)) % 151.30/151.69 (define @t363 () (@list @t357)) % 151.30/151.69 (define @t364 () (@var "C_12" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t365 () (@var "F_22" (-> (-> tptp.x_a Bool) tptp.x_a))) % 151.30/151.69 (define @t366 () (_ tptp.image_a_o_a @t365)) % 151.30/151.69 (define @t367 () (_ tptp.finite_finite_a_o @t364)) % 151.30/151.69 (define @t368 () (@var "A_78" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t369 () (_ (_ tptp.ord_less_eq_a_o_o @t364) @t368)) % 151.30/151.69 (define @t370 () (@list @t364)) % 151.30/151.69 (define @t371 () (@var "C_12" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t372 () (@var "F_22" (-> tptp.x_a tptp.x_a))) % 151.30/151.69 (define @t373 () (_ tptp.image_a_a @t372)) % 151.30/151.69 (define @t374 () (_ tptp.finite_finite_a @t371)) % 151.30/151.69 (define @t375 () (@var "A_78" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t376 () (_ (_ tptp.ord_less_eq_a_o @t371) @t375)) % 151.30/151.69 (define @t377 () (@list @t371)) % 151.30/151.69 (define @t378 () (@var "F_22" (-> tptp.x_a tptp.nat Bool))) % 151.30/151.69 (define @t379 () (_ tptp.image_a_nat_o @t378)) % 151.30/151.69 (define @t380 () (@var "B_41" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t381 () (_ tptp.ord_less_eq_nat_o_o @t380)) % 151.30/151.69 (define @t382 () (_ tptp.finite_finite_nat_o @t380)) % 151.30/151.69 (define @t383 () (@var "F_22" (-> tptp.x_a tptp.pname Bool))) % 151.30/151.69 (define @t384 () (_ tptp.image_a_pname_o @t383)) % 151.30/151.69 (define @t385 () (@var "B_41" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t386 () (_ tptp.ord_le1205211808me_o_o @t385)) % 151.30/151.69 (define @t387 () (_ tptp.finite297249702name_o @t385)) % 151.30/151.69 (define @t388 () (@var "F_22" (-> tptp.x_a tptp.x_a Bool))) % 151.30/151.69 (define @t389 () (_ tptp.image_a_a_o @t388)) % 151.30/151.69 (define @t390 () (@var "B_41" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t391 () (_ tptp.ord_less_eq_a_o_o @t390)) % 151.30/151.69 (define @t392 () (_ tptp.finite_finite_a_o @t390)) % 151.30/151.69 (define @t393 () (@var "F_22" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t394 () (_ tptp.image_a_pname @t393)) % 151.30/151.69 (define @t395 () (@var "B_41" (-> tptp.pname Bool))) % 151.30/151.69 (define @t396 () (_ tptp.ord_less_eq_pname_o @t395)) % 151.30/151.69 (define @t397 () (_ tptp.finite_finite_pname @t395)) % 151.30/151.69 (define @t398 () (@var "F_22" (-> (-> tptp.nat Bool) tptp.pname))) % 151.30/151.69 (define @t399 () (_ tptp.image_nat_o_pname @t398)) % 151.30/151.69 (define @t400 () (@var "F_22" (-> (-> tptp.pname Bool) tptp.pname))) % 151.30/151.69 (define @t401 () (_ tptp.image_pname_o_pname @t400)) % 151.30/151.69 (define @t402 () (@var "F_22" (-> (-> tptp.x_a Bool) tptp.pname))) % 151.30/151.69 (define @t403 () (_ tptp.image_a_o_pname @t402)) % 151.30/151.69 (define @t404 () (@var "F_22" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t405 () (_ tptp.image_a_nat @t404)) % 151.30/151.69 (define @t406 () (@var "B_41" (-> tptp.nat Bool))) % 151.30/151.69 (define @t407 () (_ tptp.ord_less_eq_nat_o @t406)) % 151.30/151.69 (define @t408 () (_ tptp.finite_finite_nat @t406)) % 151.30/151.69 (define @t409 () (@var "F_22" (-> (-> tptp.nat Bool) tptp.nat))) % 151.30/151.69 (define @t410 () (_ tptp.image_nat_o_nat @t409)) % 151.30/151.69 (define @t411 () (@var "F_22" (-> (-> tptp.pname Bool) tptp.nat))) % 151.30/151.69 (define @t412 () (_ tptp.image_pname_o_nat @t411)) % 151.30/151.69 (define @t413 () (@var "F_22" (-> (-> tptp.x_a Bool) tptp.nat))) % 151.30/151.69 (define @t414 () (_ tptp.image_a_o_nat @t413)) % 151.30/151.69 (define @t415 () (@var "C_12" (-> tptp.pname Bool))) % 151.30/151.69 (define @t416 () (@var "F_22" (-> tptp.pname tptp.nat Bool))) % 151.30/151.69 (define @t417 () (_ tptp.image_pname_nat_o @t416)) % 151.30/151.69 (define @t418 () (_ tptp.finite_finite_pname @t415)) % 151.30/151.69 (define @t419 () (@var "A_78" (-> tptp.pname Bool))) % 151.30/151.69 (define @t420 () (_ (_ tptp.ord_less_eq_pname_o @t415) @t419)) % 151.30/151.69 (define @t421 () (@list @t415)) % 151.30/151.69 (define @t422 () (@var "F_22" (-> tptp.pname tptp.pname Bool))) % 151.30/151.69 (define @t423 () (_ tptp.image_pname_pname_o @t422)) % 151.30/151.69 (define @t424 () (@var "F_22" (-> tptp.pname tptp.x_a Bool))) % 151.30/151.69 (define @t425 () (_ tptp.image_pname_a_o @t424)) % 151.30/151.69 (define @t426 () (@var "F_22" (-> tptp.pname tptp.pname))) % 151.30/151.69 (define @t427 () (_ tptp.image_pname_pname @t426)) % 151.30/151.69 (define @t428 () (@var "F_22" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t429 () (_ tptp.image_pname_nat @t428)) % 151.30/151.69 (define @t430 () (@var "C_12" (-> tptp.nat Bool))) % 151.30/151.69 (define @t431 () (@var "F_22" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t432 () (_ tptp.image_nat_a @t431)) % 151.30/151.69 (define @t433 () (_ tptp.finite_finite_nat @t430)) % 151.30/151.69 (define @t434 () (@var "A_78" (-> tptp.nat Bool))) % 151.30/151.69 (define @t435 () (_ (_ tptp.ord_less_eq_nat_o @t430) @t434)) % 151.30/151.69 (define @t436 () (@list @t430)) % 151.30/151.69 (define @t437 () (@var "F_22" (-> tptp.nat tptp.nat Bool))) % 151.30/151.69 (define @t438 () (_ tptp.image_nat_nat_o @t437)) % 151.30/151.69 (define @t439 () (@var "F_22" (-> tptp.nat tptp.pname Bool))) % 151.30/151.69 (define @t440 () (_ tptp.image_nat_pname_o @t439)) % 151.30/151.69 (define @t441 () (@var "F_22" (-> tptp.nat tptp.x_a Bool))) % 151.30/151.69 (define @t442 () (_ tptp.image_nat_a_o @t441)) % 151.30/151.69 (define @t443 () (@var "F_22" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t444 () (_ tptp.image_nat_pname @t443)) % 151.30/151.69 (define @t445 () (@var "F_22" (-> tptp.nat tptp.nat))) % 151.30/151.69 (define @t446 () (_ tptp.image_nat_nat @t445)) % 151.30/151.69 (define @t447 () (@var "F_22" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t448 () (_ tptp.image_pname_a @t447)) % 151.30/151.69 (define @t449 () (@var "N_3" tptp.nat)) % 151.30/151.69 (define @t450 () (@var "F_21" (-> tptp.nat Bool))) % 151.30/151.69 (define @t451 () (@var "N_4" tptp.nat)) % 151.30/151.69 (define @t452 () (_ (_ tptp.ord_less_eq_nat @t451) @t449)) % 151.30/151.69 (define @t453 () (_ tptp.suc @t198)) % 151.30/151.69 (define @t454 () (@var "F_21" (-> tptp.nat tptp.pname Bool))) % 151.30/151.69 (define @t455 () (@var "F_21" (-> tptp.nat tptp.nat Bool))) % 151.30/151.69 (define @t456 () (@var "F_21" (-> tptp.nat tptp.x_a Bool))) % 151.30/151.69 (define @t457 () (@var "F_21" (-> tptp.nat tptp.nat))) % 151.30/151.69 (define @t458 () (@var "F_20" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t459 () (@var "A_2" tptp.nat)) % 151.30/151.69 (define @t460 () (@var "A_77" (-> tptp.nat Bool))) % 151.30/151.69 (define @t461 () (_ tptp.member_nat @t459)) % 151.30/151.69 (define @t462 () (_ @t461 @t460)) % 151.30/151.69 (define @t463 () (@list @t459)) % 151.30/151.69 (define @t464 () (_ tptp.member_nat @t183)) % 151.30/151.69 (define @t465 () (_ @t464 @t460)) % 151.30/151.69 (define @t466 () (not (_ tptp.finite_finite_nat @t460))) % 151.30/151.69 (define @t467 () (@var "F_20" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t468 () (@var "A_2" tptp.x_a)) % 151.30/151.69 (define @t469 () (@var "A_77" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t470 () (_ tptp.member_a @t468)) % 151.30/151.69 (define @t471 () (_ @t470 @t469)) % 151.30/151.69 (define @t472 () (@list @t468)) % 151.30/151.69 (define @t473 () (_ tptp.member_a @t163)) % 151.30/151.69 (define @t474 () (_ @t473 @t469)) % 151.30/151.69 (define @t475 () (not (_ tptp.finite_finite_a @t469))) % 151.30/151.69 (define @t476 () (@var "F_20" (-> tptp.pname tptp.pname))) % 151.30/151.69 (define @t477 () (@var "A_2" tptp.pname)) % 151.30/151.69 (define @t478 () (@var "A_77" (-> tptp.pname Bool))) % 151.30/151.69 (define @t479 () (_ tptp.member_pname @t477)) % 151.30/151.69 (define @t480 () (_ @t479 @t478)) % 151.30/151.69 (define @t481 () (@list @t477)) % 151.30/151.69 (define @t482 () (_ tptp.member_pname @t179)) % 151.30/151.69 (define @t483 () (_ @t482 @t478)) % 151.30/151.69 (define @t484 () (not (_ tptp.finite_finite_pname @t478))) % 151.30/151.69 (define @t485 () (@var "F_20" (-> (-> tptp.nat Bool) tptp.pname))) % 151.30/151.69 (define @t486 () (@var "A_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t487 () (@var "A_77" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t488 () (_ tptp.member_nat_o @t486)) % 151.30/151.69 (define @t489 () (_ @t488 @t487)) % 151.30/151.69 (define @t490 () (@list @t486)) % 151.30/151.69 (define @t491 () (_ tptp.member_nat_o @t167)) % 151.30/151.69 (define @t492 () (_ @t491 @t487)) % 151.30/151.69 (define @t493 () (not (_ tptp.finite_finite_nat_o @t487))) % 151.30/151.69 (define @t494 () (@var "F_20" (-> (-> tptp.pname Bool) tptp.pname))) % 151.30/151.69 (define @t495 () (@var "A_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t496 () (@var "A_77" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t497 () (_ tptp.member_pname_o @t495)) % 151.30/151.69 (define @t498 () (_ @t497 @t496)) % 151.30/151.69 (define @t499 () (@list @t495)) % 151.30/151.69 (define @t500 () (_ tptp.member_pname_o @t171)) % 151.30/151.69 (define @t501 () (_ @t500 @t496)) % 151.30/151.69 (define @t502 () (not (_ tptp.finite297249702name_o @t496))) % 151.30/151.69 (define @t503 () (@var "F_20" (-> (-> tptp.x_a Bool) tptp.pname))) % 151.30/151.69 (define @t504 () (@var "A_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t505 () (@var "A_77" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t506 () (_ tptp.member_a_o @t504)) % 151.30/151.69 (define @t507 () (_ @t506 @t505)) % 151.30/151.69 (define @t508 () (@list @t504)) % 151.30/151.69 (define @t509 () (_ tptp.member_a_o @t175)) % 151.30/151.69 (define @t510 () (_ @t509 @t505)) % 151.30/151.69 (define @t511 () (not (_ tptp.finite_finite_a_o @t505))) % 151.30/151.69 (define @t512 () (@var "F_20" (-> tptp.nat tptp.nat))) % 151.30/151.69 (define @t513 () (@var "F_20" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t514 () (@var "F_20" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t515 () (@var "F_20" (-> (-> tptp.nat Bool) tptp.nat))) % 151.30/151.69 (define @t516 () (@var "F_20" (-> (-> tptp.pname Bool) tptp.nat))) % 151.30/151.69 (define @t517 () (@var "F_20" (-> (-> tptp.x_a Bool) tptp.nat))) % 151.30/151.69 (define @t518 () (@var "F_20" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t519 () (@var "F_20" (-> tptp.nat tptp.nat Bool))) % 151.30/151.69 (define @t520 () (@var "F_20" (-> tptp.nat tptp.pname Bool))) % 151.30/151.69 (define @t521 () (@var "F_20" (-> tptp.nat tptp.x_a Bool))) % 151.30/151.69 (define @t522 () (@var "F_20" (-> tptp.pname tptp.nat Bool))) % 151.30/151.69 (define @t523 () (@var "F_20" (-> tptp.pname tptp.pname Bool))) % 151.30/151.69 (define @t524 () (@var "F_20" (-> tptp.pname tptp.x_a Bool))) % 151.30/151.69 (define @t525 () (@var "F_20" (-> tptp.x_a tptp.x_a))) % 151.30/151.69 (define @t526 () (@var "F_20" (-> tptp.x_a tptp.nat Bool))) % 151.30/151.69 (define @t527 () (@var "F_20" (-> tptp.x_a tptp.pname Bool))) % 151.30/151.69 (define @t528 () (@var "F_20" (-> tptp.x_a tptp.x_a Bool))) % 151.30/151.69 (define @t529 () (@var "F_20" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t530 () (@var "A_76" (-> tptp.pname Bool))) % 151.30/151.69 (define @t531 () (@var "F_19" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t532 () (@var "B_40" tptp.nat)) % 151.30/151.69 (define @t533 () (_ tptp.member_nat @t532)) % 151.30/151.69 (define @t534 () (@var "X_30" tptp.pname)) % 151.30/151.69 (define @t535 () (_ (_ tptp.member_pname @t534) @t530)) % 151.30/151.69 (define @t536 () (@var "A_76" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t537 () (@var "F_19" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t538 () (@var "X_30" tptp.x_a)) % 151.30/151.69 (define @t539 () (@var "A_76" (-> tptp.nat Bool))) % 151.30/151.69 (define @t540 () (@var "F_19" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t541 () (@var "B_40" tptp.pname)) % 151.30/151.69 (define @t542 () (@var "X_30" tptp.nat)) % 151.30/151.69 (define @t543 () (_ (_ tptp.member_nat @t542) @t539)) % 151.30/151.69 (define @t544 () (@var "F_19" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t545 () (@var "B_40" tptp.x_a)) % 151.30/151.69 (define @t546 () (_ tptp.member_a @t545)) % 151.30/151.69 (define @t547 () (@var "F_19" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t548 () (_ (_ tptp.image_pname_a @t547) @t530)) % 151.30/151.69 (define @t549 () (_ @t546 @t548)) % 151.30/151.69 (define @t550 () (=> @t535 @t549)) % 151.30/151.69 (define @t551 () (_ @t547 @t534)) % 151.30/151.69 (define @t552 () (= @t545 @t551)) % 151.30/151.69 (define @t553 () (@list @t530 @t545 @t547 @t534)) % 151.30/151.69 (define @t554 () (forall @t553 (=> @t552 @t550))) % 151.30/151.69 (define @t555 () (@var "B_39" (-> tptp.pname Bool))) % 151.30/151.69 (define @t556 () (@var "A_75" (-> tptp.pname Bool))) % 151.30/151.69 (define @t557 () (@var "B_39" (-> tptp.nat Bool))) % 151.30/151.69 (define @t558 () (@var "A_75" (-> tptp.nat Bool))) % 151.30/151.69 (define @t559 () (@var "B_39" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t560 () (@var "A_75" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t561 () (@var "B_38" (-> tptp.nat Bool))) % 151.30/151.69 (define @t562 () (@var "C_11" tptp.nat)) % 151.30/151.69 (define @t563 () (_ tptp.member_nat @t562)) % 151.30/151.69 (define @t564 () (@var "A_74" (-> tptp.nat Bool))) % 151.30/151.69 (define @t565 () (@var "B_38" (-> tptp.pname Bool))) % 151.30/151.69 (define @t566 () (@var "C_11" tptp.pname)) % 151.30/151.69 (define @t567 () (_ tptp.member_pname @t566)) % 151.30/151.69 (define @t568 () (@var "A_74" (-> tptp.pname Bool))) % 151.30/151.69 (define @t569 () (@var "B_38" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t570 () (@var "C_11" tptp.x_a)) % 151.30/151.69 (define @t571 () (_ tptp.member_a @t570)) % 151.30/151.69 (define @t572 () (@var "A_74" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t573 () (@var "B_36" (-> tptp.nat Bool))) % 151.30/151.69 (define @t574 () (@var "B_37" tptp.nat)) % 151.30/151.69 (define @t575 () (@var "A_73" tptp.nat)) % 151.30/151.69 (define @t576 () (_ tptp.member_nat @t575)) % 151.30/151.69 (define @t577 () (@var "B_36" (-> tptp.pname Bool))) % 151.30/151.69 (define @t578 () (@var "B_37" tptp.pname)) % 151.30/151.69 (define @t579 () (@var "A_73" tptp.pname)) % 151.30/151.69 (define @t580 () (_ tptp.member_pname @t579)) % 151.30/151.69 (define @t581 () (@var "B_36" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t582 () (@var "B_37" tptp.x_a)) % 151.30/151.69 (define @t583 () (@var "A_73" tptp.x_a)) % 151.30/151.69 (define @t584 () (_ tptp.member_a @t583)) % 151.30/151.69 (define @t585 () (@var "A_71" (-> tptp.nat Bool))) % 151.30/151.69 (define @t586 () (@var "A_72" tptp.nat)) % 151.30/151.69 (define @t587 () (_ tptp.member_nat @t586)) % 151.30/151.69 (define @t588 () (@var "B_35" tptp.nat)) % 151.30/151.69 (define @t589 () (@var "A_71" (-> tptp.pname Bool))) % 151.30/151.69 (define @t590 () (@var "A_72" tptp.pname)) % 151.30/151.69 (define @t591 () (_ tptp.member_pname @t590)) % 151.30/151.69 (define @t592 () (@var "B_35" tptp.pname)) % 151.30/151.69 (define @t593 () (@var "A_71" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t594 () (@var "A_72" tptp.x_a)) % 151.30/151.69 (define @t595 () (_ tptp.member_a @t594)) % 151.30/151.69 (define @t596 () (@var "B_35" tptp.x_a)) % 151.30/151.69 (define @t597 () (@var "P" (-> tptp.nat Bool))) % 151.30/151.69 (define @t598 () (@var "M_1" tptp.nat)) % 151.30/151.69 (define @t599 () (@var "M_2" tptp.nat)) % 151.30/151.69 (define @t600 () (@list @t598)) % 151.30/151.69 (define @t601 () (@var "B_34" (-> tptp.nat Bool))) % 151.30/151.69 (define @t602 () (@var "A_70" tptp.nat)) % 151.30/151.69 (define @t603 () (@var "B_34" (-> tptp.pname Bool))) % 151.30/151.69 (define @t604 () (@var "A_70" tptp.pname)) % 151.30/151.69 (define @t605 () (@var "B_34" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t606 () (@var "A_70" tptp.x_a)) % 151.30/151.69 (define @t607 () (@var "B_33" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t608 () (@var "A_69" (-> tptp.nat Bool))) % 151.30/151.69 (define @t609 () (@var "B_33" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t610 () (@var "A_69" (-> tptp.pname Bool))) % 151.30/151.69 (define @t611 () (@var "B_33" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t612 () (@var "A_69" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t613 () (@var "B_33" (-> tptp.nat Bool))) % 151.30/151.69 (define @t614 () (@var "A_69" tptp.nat)) % 151.30/151.69 (define @t615 () (@var "B_33" (-> tptp.pname Bool))) % 151.30/151.69 (define @t616 () (@var "A_69" tptp.pname)) % 151.30/151.69 (define @t617 () (@var "B_33" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t618 () (@var "A_69" tptp.x_a)) % 151.30/151.69 (define @t619 () (@var "U_1" tptp.pname)) % 151.30/151.69 (define @t620 () (@var "P_8" (-> tptp.pname Bool))) % 151.30/151.69 (define @t621 () (@var "A_68" tptp.pname)) % 151.30/151.69 (define @t622 () (@var "U_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t623 () (@var "P_8" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t624 () (@var "A_68" (-> tptp.nat Bool))) % 151.30/151.69 (define @t625 () (@var "U_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t626 () (@var "P_8" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t627 () (@var "A_68" (-> tptp.pname Bool))) % 151.30/151.69 (define @t628 () (@var "U_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t629 () (@var "P_8" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t630 () (@var "A_68" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t631 () (@var "U_1" tptp.nat)) % 151.30/151.69 (define @t632 () (@var "P_8" (-> tptp.nat Bool))) % 151.30/151.69 (define @t633 () (@var "A_68" tptp.nat)) % 151.30/151.69 (define @t634 () (@var "U_1" tptp.x_a)) % 151.30/151.69 (define @t635 () (@var "P_8" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t636 () (@var "A_68" tptp.x_a)) % 151.30/151.69 (define @t637 () (@var "A_67" (-> tptp.pname Bool))) % 151.30/151.69 (define @t638 () (@var "X_29" tptp.pname)) % 151.30/151.69 (define @t639 () (_ tptp.insert_pname @t638)) % 151.30/151.69 (define @t640 () (_ @t639 @t637)) % 151.30/151.69 (define @t641 () (@var "A_67" (-> tptp.nat Bool))) % 151.30/151.69 (define @t642 () (@var "X_29" tptp.nat)) % 151.30/151.69 (define @t643 () (_ tptp.insert_nat @t642)) % 151.30/151.69 (define @t644 () (_ @t643 @t641)) % 151.30/151.69 (define @t645 () (@var "A_67" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t646 () (@var "X_29" tptp.x_a)) % 151.30/151.69 (define @t647 () (_ tptp.insert_a @t646)) % 151.30/151.69 (define @t648 () (_ @t647 @t645)) % 151.30/151.69 (define @t649 () (@var "A_66" (-> tptp.pname Bool))) % 151.30/151.69 (define @t650 () (@var "X_28" tptp.pname)) % 151.30/151.69 (define @t651 () (_ tptp.insert_pname @t650)) % 151.30/151.69 (define @t652 () (@var "Y_12" tptp.pname)) % 151.30/151.69 (define @t653 () (_ tptp.insert_pname @t652)) % 151.30/151.69 (define @t654 () (@var "A_66" (-> tptp.nat Bool))) % 151.30/151.69 (define @t655 () (@var "X_28" tptp.nat)) % 151.30/151.69 (define @t656 () (_ tptp.insert_nat @t655)) % 151.30/151.69 (define @t657 () (@var "Y_12" tptp.nat)) % 151.30/151.69 (define @t658 () (_ tptp.insert_nat @t657)) % 151.30/151.69 (define @t659 () (@var "A_66" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t660 () (@var "X_28" tptp.x_a)) % 151.30/151.69 (define @t661 () (_ tptp.insert_a @t660)) % 151.30/151.69 (define @t662 () (@var "Y_12" tptp.x_a)) % 151.30/151.69 (define @t663 () (_ tptp.insert_a @t662)) % 151.30/151.69 (define @t664 () (@var "A_64" (-> tptp.nat Bool))) % 151.30/151.69 (define @t665 () (@var "A_65" tptp.nat)) % 151.30/151.69 (define @t666 () (_ tptp.member_nat @t665)) % 151.30/151.69 (define @t667 () (@var "B_32" tptp.nat)) % 151.30/151.69 (define @t668 () (@var "A_64" (-> tptp.pname Bool))) % 151.30/151.69 (define @t669 () (@var "A_65" tptp.pname)) % 151.30/151.69 (define @t670 () (_ tptp.member_pname @t669)) % 151.30/151.69 (define @t671 () (@var "B_32" tptp.pname)) % 151.30/151.69 (define @t672 () (@var "A_64" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t673 () (@var "A_65" tptp.x_a)) % 151.30/151.69 (define @t674 () (_ tptp.member_a @t673)) % 151.30/151.69 (define @t675 () (@var "B_32" tptp.x_a)) % 151.30/151.69 (define @t676 () (@var "X_27" tptp.pname)) % 151.30/151.69 (define @t677 () (@var "A_63" (-> tptp.pname Bool))) % 151.30/151.69 (define @t678 () (@var "Y_11" tptp.pname)) % 151.30/151.69 (define @t679 () (@var "X_27" tptp.nat)) % 151.30/151.69 (define @t680 () (@var "A_63" (-> tptp.nat Bool))) % 151.30/151.69 (define @t681 () (@var "Y_11" tptp.nat)) % 151.30/151.69 (define @t682 () (@var "X_27" tptp.x_a)) % 151.30/151.69 (define @t683 () (@var "A_63" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t684 () (@var "Y_11" tptp.x_a)) % 151.30/151.69 (define @t685 () (@var "B_31" (-> tptp.nat Bool))) % 151.30/151.69 (define @t686 () (@var "A_62" (-> tptp.nat Bool))) % 151.30/151.69 (define @t687 () (@var "X_26" tptp.nat)) % 151.30/151.69 (define @t688 () (_ tptp.insert_nat @t687)) % 151.30/151.69 (define @t689 () (_ tptp.member_nat @t687)) % 151.30/151.69 (define @t690 () (@var "B_31" (-> tptp.pname Bool))) % 151.30/151.69 (define @t691 () (@var "A_62" (-> tptp.pname Bool))) % 151.30/151.69 (define @t692 () (@var "X_26" tptp.pname)) % 151.30/151.69 (define @t693 () (_ tptp.insert_pname @t692)) % 151.30/151.69 (define @t694 () (_ tptp.member_pname @t692)) % 151.30/151.69 (define @t695 () (@var "B_31" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t696 () (@var "A_62" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t697 () (@var "X_26" tptp.x_a)) % 151.30/151.69 (define @t698 () (_ tptp.insert_a @t697)) % 151.30/151.69 (define @t699 () (_ tptp.member_a @t697)) % 151.30/151.69 (define @t700 () (@var "B_29" (-> tptp.nat Bool))) % 151.30/151.69 (define @t701 () (@var "B_30" tptp.nat)) % 151.30/151.69 (define @t702 () (@var "A_61" tptp.nat)) % 151.30/151.69 (define @t703 () (_ tptp.member_nat @t702)) % 151.30/151.69 (define @t704 () (@var "B_29" (-> tptp.pname Bool))) % 151.30/151.69 (define @t705 () (@var "B_30" tptp.pname)) % 151.30/151.69 (define @t706 () (@var "A_61" tptp.pname)) % 151.30/151.69 (define @t707 () (_ tptp.member_pname @t706)) % 151.30/151.69 (define @t708 () (@var "B_29" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t709 () (@var "B_30" tptp.x_a)) % 151.30/151.69 (define @t710 () (@var "A_61" tptp.x_a)) % 151.30/151.69 (define @t711 () (_ tptp.member_a @t710)) % 151.30/151.69 (define @t712 () (@var "A_59" (-> tptp.nat Bool))) % 151.30/151.69 (define @t713 () (@var "A_60" tptp.nat)) % 151.30/151.69 (define @t714 () (@var "A_59" (-> tptp.pname Bool))) % 151.30/151.69 (define @t715 () (@var "A_60" tptp.pname)) % 151.30/151.69 (define @t716 () (@var "A_59" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t717 () (@var "A_60" tptp.x_a)) % 151.30/151.69 (define @t718 () (@var "A_58" (-> tptp.pname Bool))) % 151.30/151.69 (define @t719 () (@var "A_58" (-> tptp.nat Bool))) % 151.30/151.69 (define @t720 () (@var "A_58" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t721 () (@var "A_57" (-> tptp.pname Bool))) % 151.30/151.69 (define @t722 () (@var "B_28" (-> tptp.pname Bool))) % 151.30/151.69 (define @t723 () (@var "A_57" (-> tptp.nat Bool))) % 151.30/151.69 (define @t724 () (@var "B_28" (-> tptp.nat Bool))) % 151.30/151.69 (define @t725 () (@var "A_57" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t726 () (@var "B_28" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t727 () (@var "B_27" (-> tptp.pname Bool))) % 151.30/151.69 (define @t728 () (@var "A_56" (-> tptp.pname Bool))) % 151.30/151.69 (define @t729 () (@var "B_27" (-> tptp.nat Bool))) % 151.30/151.69 (define @t730 () (@var "A_56" (-> tptp.nat Bool))) % 151.30/151.69 (define @t731 () (@var "B_27" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t732 () (@var "A_56" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t733 () (@var "A_55" (-> tptp.pname Bool))) % 151.30/151.69 (define @t734 () (@var "B_26" (-> tptp.pname Bool))) % 151.30/151.69 (define @t735 () (@var "A_55" (-> tptp.nat Bool))) % 151.30/151.69 (define @t736 () (@var "B_26" (-> tptp.nat Bool))) % 151.30/151.69 (define @t737 () (@var "A_55" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t738 () (@var "B_26" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t739 () (@var "B_25" (-> tptp.nat Bool))) % 151.30/151.69 (define @t740 () (@var "X_25" tptp.nat)) % 151.30/151.69 (define @t741 () (_ tptp.member_nat @t740)) % 151.30/151.69 (define @t742 () (@var "A_54" (-> tptp.nat Bool))) % 151.30/151.69 (define @t743 () (@var "B_25" (-> tptp.pname Bool))) % 151.30/151.69 (define @t744 () (@var "X_25" tptp.pname)) % 151.30/151.69 (define @t745 () (_ tptp.member_pname @t744)) % 151.30/151.69 (define @t746 () (@var "A_54" (-> tptp.pname Bool))) % 151.30/151.69 (define @t747 () (@var "B_25" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t748 () (@var "X_25" tptp.x_a)) % 151.30/151.69 (define @t749 () (_ tptp.member_a @t748)) % 151.30/151.69 (define @t750 () (@var "A_54" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t751 () (@var "B_24" (-> tptp.nat Bool))) % 151.30/151.69 (define @t752 () (@var "X_24" tptp.nat)) % 151.30/151.69 (define @t753 () (_ tptp.member_nat @t752)) % 151.30/151.69 (define @t754 () (@var "A_53" (-> tptp.nat Bool))) % 151.30/151.69 (define @t755 () (@var "B_24" (-> tptp.pname Bool))) % 151.30/151.69 (define @t756 () (@var "X_24" tptp.pname)) % 151.30/151.69 (define @t757 () (_ tptp.member_pname @t756)) % 151.30/151.69 (define @t758 () (@var "A_53" (-> tptp.pname Bool))) % 151.30/151.69 (define @t759 () (@var "B_24" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t760 () (@var "X_24" tptp.x_a)) % 151.30/151.69 (define @t761 () (_ tptp.member_a @t760)) % 151.30/151.69 (define @t762 () (@var "A_53" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t763 () (@var "B_23" (-> tptp.nat Bool))) % 151.30/151.69 (define @t764 () (@var "X_23" tptp.nat)) % 151.30/151.69 (define @t765 () (_ tptp.member_nat @t764)) % 151.30/151.69 (define @t766 () (@var "A_52" (-> tptp.nat Bool))) % 151.30/151.69 (define @t767 () (@var "B_23" (-> tptp.pname Bool))) % 151.30/151.69 (define @t768 () (@var "X_23" tptp.pname)) % 151.30/151.69 (define @t769 () (_ tptp.member_pname @t768)) % 151.30/151.69 (define @t770 () (@var "A_52" (-> tptp.pname Bool))) % 151.30/151.69 (define @t771 () (@var "B_23" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t772 () (@var "X_23" tptp.x_a)) % 151.30/151.69 (define @t773 () (_ tptp.member_a @t772)) % 151.30/151.69 (define @t774 () (@var "A_52" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t775 () (@var "X_22" tptp.nat)) % 151.30/151.69 (define @t776 () (@var "A_51" (-> tptp.nat Bool))) % 151.30/151.69 (define @t777 () (@var "X_22" tptp.pname)) % 151.30/151.69 (define @t778 () (@var "A_51" (-> tptp.pname Bool))) % 151.30/151.69 (define @t779 () (@var "X_22" tptp.x_a)) % 151.30/151.69 (define @t780 () (@var "A_51" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t781 () (@var "P_7" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t782 () (@var "P_7" (-> tptp.pname Bool))) % 151.30/151.69 (define @t783 () (@var "P_7" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t784 () (@var "P_7" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t785 () (@var "P_7" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t786 () (@var "P_7" (-> tptp.nat Bool))) % 151.30/151.69 (define @t787 () (@var "C_10" (-> tptp.pname Bool))) % 151.30/151.69 (define @t788 () (@var "A_50" (-> tptp.pname Bool))) % 151.30/151.69 (define @t789 () (_ tptp.ord_less_eq_pname_o @t788)) % 151.30/151.69 (define @t790 () (@var "B_22" (-> tptp.pname Bool))) % 151.30/151.69 (define @t791 () (@var "C_10" (-> tptp.nat Bool))) % 151.30/151.69 (define @t792 () (@var "A_50" (-> tptp.nat Bool))) % 151.30/151.69 (define @t793 () (_ tptp.ord_less_eq_nat_o @t792)) % 151.30/151.69 (define @t794 () (@var "B_22" (-> tptp.nat Bool))) % 151.30/151.69 (define @t795 () (@var "C_10" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t796 () (@var "A_50" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t797 () (_ tptp.ord_less_eq_a_o @t796)) % 151.30/151.69 (define @t798 () (@var "B_22" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t799 () (@var "A_49" (-> tptp.pname Bool))) % 151.30/151.69 (define @t800 () (@var "B_21" (-> tptp.pname Bool))) % 151.30/151.69 (define @t801 () (@var "A_49" (-> tptp.nat Bool))) % 151.30/151.69 (define @t802 () (@var "B_21" (-> tptp.nat Bool))) % 151.30/151.69 (define @t803 () (@var "A_49" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t804 () (@var "B_21" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t805 () (@var "F_18" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t806 () (@var "Z_3" tptp.x_a)) % 151.30/151.69 (define @t807 () (@var "A_48" (-> tptp.pname Bool))) % 151.30/151.69 (define @t808 () (@var "A_47" (-> tptp.pname Bool))) % 151.30/151.69 (define @t809 () (@var "F_17" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t810 () (@var "X_21" tptp.pname)) % 151.30/151.69 (define @t811 () (_ (_ tptp.member_pname @t810) @t808)) % 151.30/151.69 (define @t812 () (@var "A_47" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t813 () (@var "F_17" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t814 () (@var "X_21" tptp.x_a)) % 151.30/151.69 (define @t815 () (@var "A_47" (-> tptp.nat Bool))) % 151.30/151.69 (define @t816 () (@var "F_17" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t817 () (@var "X_21" tptp.nat)) % 151.30/151.69 (define @t818 () (_ (_ tptp.member_nat @t817) @t815)) % 151.30/151.69 (define @t819 () (@var "F_17" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t820 () (@var "F_17" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t821 () (@var "A_46" (-> tptp.pname Bool))) % 151.30/151.69 (define @t822 () (@var "F_16" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t823 () (@var "B_20" tptp.nat)) % 151.30/151.69 (define @t824 () (_ tptp.member_nat @t823)) % 151.30/151.69 (define @t825 () (@var "X_20" tptp.pname)) % 151.30/151.69 (define @t826 () (_ (_ tptp.member_pname @t825) @t821)) % 151.30/151.69 (define @t827 () (@var "A_46" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t828 () (@var "F_16" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t829 () (@var "X_20" tptp.x_a)) % 151.30/151.69 (define @t830 () (@var "A_46" (-> tptp.nat Bool))) % 151.30/151.69 (define @t831 () (@var "F_16" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t832 () (@var "B_20" tptp.pname)) % 151.30/151.69 (define @t833 () (@var "X_20" tptp.nat)) % 151.30/151.69 (define @t834 () (_ (_ tptp.member_nat @t833) @t830)) % 151.30/151.69 (define @t835 () (@var "F_16" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t836 () (@var "B_20" tptp.x_a)) % 151.30/151.69 (define @t837 () (_ tptp.member_a @t836)) % 151.30/151.69 (define @t838 () (@var "F_16" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t839 () (@var "Xa" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t840 () (@var "Y_10" (-> tptp.nat Bool))) % 151.30/151.69 (define @t841 () (_ tptp.insert_nat_o @t167)) % 151.30/151.69 (define @t842 () (@var "Xa" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t843 () (@var "Y_10" (-> tptp.pname Bool))) % 151.30/151.69 (define @t844 () (_ tptp.insert_pname_o @t171)) % 151.30/151.69 (define @t845 () (@var "Xa" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t846 () (@var "Y_10" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t847 () (_ tptp.insert_a_o @t175)) % 151.30/151.69 (define @t848 () (@var "Xa" (-> tptp.nat Bool))) % 151.30/151.69 (define @t849 () (@var "Y_10" tptp.nat)) % 151.30/151.69 (define @t850 () (@var "Xa" (-> tptp.pname Bool))) % 151.30/151.69 (define @t851 () (@var "Y_10" tptp.pname)) % 151.30/151.69 (define @t852 () (@var "Xa" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t853 () (@var "Y_10" tptp.x_a)) % 151.30/151.69 (define @t854 () (@var "B_19" (-> tptp.pname Bool))) % 151.30/151.69 (define @t855 () (@var "A_45" tptp.pname)) % 151.30/151.69 (define @t856 () (@var "B_19" (-> tptp.nat Bool))) % 151.30/151.69 (define @t857 () (@var "A_45" tptp.nat)) % 151.30/151.69 (define @t858 () (@var "B_19" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t859 () (@var "A_45" tptp.x_a)) % 151.30/151.69 (define @t860 () (@var "B_18" (-> tptp.nat Bool))) % 151.30/151.69 (define @t861 () (@var "A_44" (-> tptp.nat Bool))) % 151.30/151.69 (define @t862 () (@var "X_19" tptp.nat)) % 151.30/151.69 (define @t863 () (@var "B_18" (-> tptp.pname Bool))) % 151.30/151.69 (define @t864 () (@var "A_44" (-> tptp.pname Bool))) % 151.30/151.69 (define @t865 () (@var "X_19" tptp.pname)) % 151.30/151.69 (define @t866 () (@var "B_18" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t867 () (@var "A_44" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t868 () (_ (_ tptp.ord_less_eq_a_o @t867) @t866)) % 151.30/151.69 (define @t869 () (@var "X_19" tptp.x_a)) % 151.30/151.69 (define @t870 () (_ (_ tptp.member_a @t869) @t866)) % 151.30/151.69 (define @t871 () (and @t870 @t868)) % 151.30/151.69 (define @t872 () (_ (_ tptp.insert_a @t869) @t867)) % 151.30/151.69 (define @t873 () (_ (_ tptp.ord_less_eq_a_o @t872) @t866)) % 151.30/151.69 (define @t874 () (= @t873 @t871)) % 151.30/151.69 (define @t875 () (@list @t869 @t867 @t866)) % 151.30/151.69 (define @t876 () (forall @t875 @t874)) % 151.30/151.69 (define @t877 () (@var "B_17" (-> tptp.nat Bool))) % 151.30/151.69 (define @t878 () (@var "A_43" (-> tptp.nat Bool))) % 151.30/151.69 (define @t879 () (_ tptp.ord_less_eq_nat_o @t878)) % 151.30/151.69 (define @t880 () (@var "X_18" tptp.nat)) % 151.30/151.69 (define @t881 () (@var "B_17" (-> tptp.pname Bool))) % 151.30/151.69 (define @t882 () (@var "A_43" (-> tptp.pname Bool))) % 151.30/151.69 (define @t883 () (_ tptp.ord_less_eq_pname_o @t882)) % 151.30/151.69 (define @t884 () (@var "X_18" tptp.pname)) % 151.30/151.69 (define @t885 () (@var "B_17" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t886 () (@var "A_43" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t887 () (_ tptp.ord_less_eq_a_o @t886)) % 151.30/151.69 (define @t888 () (@var "X_18" tptp.x_a)) % 151.30/151.69 (define @t889 () (@var "B_15" (-> tptp.pname Bool))) % 151.30/151.69 (define @t890 () (@var "B_16" tptp.pname)) % 151.30/151.69 (define @t891 () (@var "A_42" (-> tptp.pname Bool))) % 151.30/151.69 (define @t892 () (_ tptp.ord_less_eq_pname_o @t891)) % 151.30/151.69 (define @t893 () (@var "B_15" (-> tptp.nat Bool))) % 151.30/151.69 (define @t894 () (@var "B_16" tptp.nat)) % 151.30/151.69 (define @t895 () (@var "A_42" (-> tptp.nat Bool))) % 151.30/151.69 (define @t896 () (_ tptp.ord_less_eq_nat_o @t895)) % 151.30/151.69 (define @t897 () (@var "B_15" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t898 () (@var "B_16" tptp.x_a)) % 151.30/151.69 (define @t899 () (@var "A_42" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t900 () (_ tptp.ord_less_eq_a_o @t899)) % 151.30/151.69 (define @t901 () (@var "D_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t902 () (@var "A_41" tptp.pname)) % 151.30/151.69 (define @t903 () (_ tptp.insert_pname @t902)) % 151.30/151.69 (define @t904 () (@var "C_9" (-> tptp.pname Bool))) % 151.30/151.69 (define @t905 () (@var "D_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t906 () (@var "A_41" tptp.nat)) % 151.30/151.69 (define @t907 () (_ tptp.insert_nat @t906)) % 151.30/151.69 (define @t908 () (@var "C_9" (-> tptp.nat Bool))) % 151.30/151.69 (define @t909 () (@var "D_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t910 () (@var "A_41" tptp.x_a)) % 151.30/151.69 (define @t911 () (_ tptp.insert_a @t910)) % 151.30/151.69 (define @t912 () (@var "C_9" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t913 () (@var "B_14" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t914 () (@var "F_15" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t915 () (_ tptp.image_a_pname @t914)) % 151.30/151.69 (define @t916 () (@var "A_40" tptp.x_a)) % 151.30/151.69 (define @t917 () (_ (_ tptp.insert_a @t916) @t913)) % 151.30/151.69 (define @t918 () (@var "F_15" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t919 () (_ tptp.image_a_nat @t918)) % 151.30/151.69 (define @t920 () (@var "B_14" (-> tptp.nat Bool))) % 151.30/151.69 (define @t921 () (@var "F_15" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t922 () (_ tptp.image_nat_a @t921)) % 151.30/151.69 (define @t923 () (@var "A_40" tptp.nat)) % 151.30/151.69 (define @t924 () (@var "B_14" (-> tptp.pname Bool))) % 151.30/151.69 (define @t925 () (@var "F_15" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t926 () (_ tptp.image_pname_a @t925)) % 151.30/151.69 (define @t927 () (@var "A_40" tptp.pname)) % 151.30/151.69 (define @t928 () (@var "A_39" (-> tptp.pname Bool))) % 151.30/151.69 (define @t929 () (@var "F_14" (-> tptp.pname tptp.pname))) % 151.30/151.69 (define @t930 () (_ (_ tptp.image_pname_pname @t929) @t928)) % 151.30/151.69 (define @t931 () (@var "X_17" tptp.pname)) % 151.30/151.69 (define @t932 () (_ (_ tptp.member_pname @t931) @t928)) % 151.30/151.69 (define @t933 () (@var "F_14" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t934 () (_ (_ tptp.image_pname_nat @t933) @t928)) % 151.30/151.69 (define @t935 () (@var "A_39" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t936 () (@var "F_14" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t937 () (_ (_ tptp.image_a_pname @t936) @t935)) % 151.30/151.69 (define @t938 () (@var "X_17" tptp.x_a)) % 151.30/151.69 (define @t939 () (_ (_ tptp.member_a @t938) @t935)) % 151.30/151.69 (define @t940 () (@var "F_14" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t941 () (_ (_ tptp.image_a_nat @t940) @t935)) % 151.30/151.69 (define @t942 () (@var "A_39" (-> tptp.nat Bool))) % 151.30/151.69 (define @t943 () (@var "F_14" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t944 () (_ (_ tptp.image_nat_a @t943) @t942)) % 151.30/151.69 (define @t945 () (@var "X_17" tptp.nat)) % 151.30/151.69 (define @t946 () (@var "F_14" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t947 () (_ (_ tptp.image_pname_a @t946) @t928)) % 151.30/151.69 (define @t948 () (@var "AA" (-> tptp.nat Bool))) % 151.30/151.69 (define @t949 () (@var "F_13" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t950 () (_ tptp.image_nat_a @t949)) % 151.30/151.69 (define @t951 () (@var "B_13" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t952 () (@var "A_38" (-> tptp.nat Bool))) % 151.30/151.69 (define @t953 () (_ tptp.ord_less_eq_a_o @t951)) % 151.30/151.69 (define @t954 () (@var "AA" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t955 () (@var "F_13" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t956 () (_ tptp.image_a_pname @t955)) % 151.30/151.69 (define @t957 () (@var "B_13" (-> tptp.pname Bool))) % 151.30/151.69 (define @t958 () (@var "A_38" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t959 () (_ (_ tptp.ord_less_eq_a_o @t954) @t958)) % 151.30/151.69 (define @t960 () (@list @t954)) % 151.30/151.69 (define @t961 () (@var "F_13" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t962 () (_ tptp.image_a_nat @t961)) % 151.30/151.69 (define @t963 () (@var "B_13" (-> tptp.nat Bool))) % 151.30/151.69 (define @t964 () (@var "AA" (-> tptp.pname Bool))) % 151.30/151.69 (define @t965 () (@var "F_13" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t966 () (_ tptp.image_pname_a @t965)) % 151.30/151.69 (define @t967 () (@var "A_38" (-> tptp.pname Bool))) % 151.30/151.69 (define @t968 () (@var "B_12" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t969 () (@var "F_12" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t970 () (_ tptp.image_a_pname @t969)) % 151.30/151.69 (define @t971 () (@var "A_37" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t972 () (_ (_ tptp.ord_less_eq_a_o @t971) @t968)) % 151.30/151.69 (define @t973 () (@var "F_12" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t974 () (_ tptp.image_a_nat @t973)) % 151.30/151.69 (define @t975 () (@var "B_12" (-> tptp.nat Bool))) % 151.30/151.69 (define @t976 () (@var "F_12" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t977 () (_ tptp.image_nat_a @t976)) % 151.30/151.69 (define @t978 () (@var "A_37" (-> tptp.nat Bool))) % 151.30/151.69 (define @t979 () (@var "B_12" (-> tptp.pname Bool))) % 151.30/151.69 (define @t980 () (@var "F_12" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t981 () (_ tptp.image_pname_a @t980)) % 151.30/151.69 (define @t982 () (@var "A_37" (-> tptp.pname Bool))) % 151.30/151.69 (define @t983 () (@var "A_36" (-> tptp.nat Bool))) % 151.30/151.69 (define @t984 () (not (_ @t464 @t983))) % 151.30/151.69 (define @t985 () (@var "F_11" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t986 () (@var "B_11" tptp.pname)) % 151.30/151.69 (define @t987 () (@var "F_11" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t988 () (@var "B_11" tptp.x_a)) % 151.30/151.69 (define @t989 () (_ tptp.member_a @t988)) % 151.30/151.69 (define @t990 () (@var "A_36" (-> tptp.pname Bool))) % 151.30/151.69 (define @t991 () (not (_ @t482 @t990))) % 151.30/151.69 (define @t992 () (@var "F_11" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t993 () (@var "B_11" tptp.nat)) % 151.30/151.69 (define @t994 () (_ tptp.member_nat @t993)) % 151.30/151.69 (define @t995 () (@var "A_36" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t996 () (@var "F_11" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t997 () (@var "F_11" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t998 () (@var "B_10" (-> tptp.nat Bool))) % 151.30/151.69 (define @t999 () (@var "A_35" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1000 () (@var "B_10" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1001 () (@var "A_35" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1002 () (@var "B_10" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1003 () (@var "A_35" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1004 () (@var "B_9" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1005 () (@var "A_34" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1006 () (@var "F_10" (-> tptp.pname tptp.nat))) % 151.30/151.69 (define @t1007 () (_ @t482 @t1005)) % 151.30/151.69 (define @t1008 () (@var "B_9" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1009 () (@var "F_10" (-> tptp.pname tptp.pname))) % 151.30/151.69 (define @t1010 () (@var "A_34" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1011 () (@var "F_10" (-> tptp.x_a tptp.nat))) % 151.30/151.69 (define @t1012 () (_ @t473 @t1010)) % 151.30/151.69 (define @t1013 () (@var "F_10" (-> tptp.x_a tptp.pname))) % 151.30/151.69 (define @t1014 () (@var "A_34" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1015 () (@var "F_10" (-> tptp.nat tptp.pname))) % 151.30/151.69 (define @t1016 () (_ @t464 @t1014)) % 151.30/151.69 (define @t1017 () (@var "B_9" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1018 () (@var "F_10" (-> tptp.nat tptp.x_a))) % 151.30/151.69 (define @t1019 () (@var "F_10" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t1020 () (@var "X_16" Bool)) % 151.30/151.69 (define @t1021 () (@var "X_16" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1022 () (@var "X_16" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1023 () (@var "X_16" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1024 () (@var "X_16" tptp.nat)) % 151.30/151.69 (define @t1025 () (@var "N_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1026 () (_ @t464 @t1025)) % 151.30/151.69 (define @t1027 () (_ tptp.finite_finite_nat @t1025)) % 151.30/151.69 (define @t1028 () (@list @t1025)) % 151.30/151.69 (define @t1029 () (@var "C" tptp.com)) % 151.30/151.69 (define @t1030 () (@var "G_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1031 () (@var "F_9" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1032 () (@var "G_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1033 () (@var "F_9" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1034 () (@var "G_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1035 () (@var "F_9" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1036 () (@var "X_15" tptp.pname)) % 151.30/151.69 (define @t1037 () (@var "G_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1038 () (@var "F_8" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1039 () (@var "X_15" tptp.nat)) % 151.30/151.69 (define @t1040 () (@var "G_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1041 () (@var "F_8" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1042 () (@var "X_15" tptp.x_a)) % 151.30/151.69 (define @t1043 () (@var "G_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1044 () (@var "F_8" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1045 () (@var "X_14" tptp.pname)) % 151.30/151.69 (define @t1046 () (@var "G_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1047 () (@var "F_7" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1048 () (@var "X_14" tptp.nat)) % 151.30/151.69 (define @t1049 () (@var "G_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1050 () (@var "F_7" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1051 () (@var "X_14" tptp.x_a)) % 151.30/151.69 (define @t1052 () (@var "G_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1053 () (@var "F_7" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1054 () (@var "A_33" tptp.nat)) % 151.30/151.69 (define @t1055 () (@var "A_33" tptp.pname)) % 151.30/151.69 (define @t1056 () (@var "A_33" tptp.x_a)) % 151.30/151.69 (define @t1057 () (@var "A_32" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1058 () (_ tptp.ord_less_eq_pname_o tptp.bot_bot_pname_o)) % 151.30/151.69 (define @t1059 () (@var "A_32" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1060 () (_ tptp.ord_less_eq_nat_o tptp.bot_bot_nat_o)) % 151.30/151.69 (define @t1061 () (@var "A_32" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1062 () (_ tptp.ord_less_eq_a_o tptp.bot_bot_a_o)) % 151.30/151.69 (define @t1063 () (@var "A_30" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1064 () (@var "A_31" tptp.nat)) % 151.30/151.69 (define @t1065 () (@var "A_30" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1066 () (@var "A_31" tptp.pname)) % 151.30/151.69 (define @t1067 () (@var "A_30" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1068 () (@var "A_31" tptp.x_a)) % 151.30/151.69 (define @t1069 () (@var "P_6" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1070 () (@var "P_6" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1071 () (@var "P_6" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1072 () (@var "P_6" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1073 () (@var "P_6" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1074 () (@var "P_6" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1075 () (@var "C_8" tptp.nat)) % 151.30/151.69 (define @t1076 () (@var "C_8" tptp.pname)) % 151.30/151.69 (define @t1077 () (@var "C_8" tptp.x_a)) % 151.30/151.69 (define @t1078 () (@var "P_5" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1079 () (@var "P_5" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1080 () (@var "P_5" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1081 () (@var "P_5" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1082 () (@var "P_5" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1083 () (@var "P_5" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1084 () (@var "A_29" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1085 () (@var "A_29" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1086 () (@var "A_29" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1087 () (@var "A_28" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1088 () (@var "A_28" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1089 () (@var "A_28" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1090 () (@var "X_13" tptp.pname)) % 151.30/151.69 (define @t1091 () (@var "X_13" tptp.nat)) % 151.30/151.69 (define @t1092 () (@var "X_13" tptp.x_a)) % 151.30/151.69 (define @t1093 () (@var "A_27" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1094 () (@var "A_27" Bool)) % 151.30/151.69 (define @t1095 () (@var "A_27" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1096 () (@var "A_27" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1097 () (@var "A_27" tptp.nat)) % 151.30/151.69 (define @t1098 () (@var "A_26" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1099 () (@var "A_26" Bool)) % 151.30/151.69 (define @t1100 () (@var "A_26" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1101 () (@var "A_26" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1102 () (@var "A_26" tptp.nat)) % 151.30/151.69 (define @t1103 () (@var "A_25" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1104 () (@var "A_25" Bool)) % 151.30/151.69 (define @t1105 () (@var "A_25" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1106 () (@var "A_25" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1107 () (@var "A_25" tptp.nat)) % 151.30/151.69 (define @t1108 () (@var "B_8" tptp.pname)) % 151.30/151.69 (define @t1109 () (@var "A_24" tptp.pname)) % 151.30/151.69 (define @t1110 () (@var "B_8" tptp.nat)) % 151.30/151.69 (define @t1111 () (@var "A_24" tptp.nat)) % 151.30/151.69 (define @t1112 () (@var "B_8" tptp.x_a)) % 151.30/151.69 (define @t1113 () (@var "A_24" tptp.x_a)) % 151.30/151.69 (define @t1114 () (@var "A_23" tptp.nat)) % 151.30/151.69 (define @t1115 () (@var "B_7" tptp.nat)) % 151.30/151.69 (define @t1116 () (@var "A_23" tptp.pname)) % 151.30/151.69 (define @t1117 () (@var "B_7" tptp.pname)) % 151.30/151.69 (define @t1118 () (@var "A_23" tptp.x_a)) % 151.30/151.69 (define @t1119 () (@var "B_7" tptp.x_a)) % 151.30/151.69 (define @t1120 () (@var "C_7" tptp.pname)) % 151.30/151.69 (define @t1121 () (@var "B_6" tptp.pname)) % 151.30/151.69 (define @t1122 () (@var "D" tptp.pname)) % 151.30/151.69 (define @t1123 () (@var "A_22" tptp.pname)) % 151.30/151.69 (define @t1124 () (@var "C_7" tptp.nat)) % 151.30/151.69 (define @t1125 () (@var "B_6" tptp.nat)) % 151.30/151.69 (define @t1126 () (@var "D" tptp.nat)) % 151.30/151.69 (define @t1127 () (@var "A_22" tptp.nat)) % 151.30/151.69 (define @t1128 () (@var "C_7" tptp.x_a)) % 151.30/151.69 (define @t1129 () (@var "B_6" tptp.x_a)) % 151.30/151.69 (define @t1130 () (@var "D" tptp.x_a)) % 151.30/151.69 (define @t1131 () (@var "A_22" tptp.x_a)) % 151.30/151.69 (define @t1132 () (@var "A_21" tptp.nat)) % 151.30/151.69 (define @t1133 () (@var "B_5" tptp.nat)) % 151.30/151.69 (define @t1134 () (@var "A_21" tptp.pname)) % 151.30/151.69 (define @t1135 () (@var "B_5" tptp.pname)) % 151.30/151.69 (define @t1136 () (@var "A_21" tptp.x_a)) % 151.30/151.69 (define @t1137 () (@var "B_5" tptp.x_a)) % 151.30/151.69 (define @t1138 () (@var "A_19" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1139 () (@var "A_20" tptp.pname)) % 151.30/151.69 (define @t1140 () (@var "A_19" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1141 () (@var "A_20" tptp.nat)) % 151.30/151.69 (define @t1142 () (@var "A_19" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1143 () (@var "A_20" tptp.x_a)) % 151.30/151.69 (define @t1144 () (@var "A_17" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1145 () (@var "A_18" tptp.pname)) % 151.30/151.69 (define @t1146 () (@var "A_17" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1147 () (@var "A_18" tptp.nat)) % 151.30/151.69 (define @t1148 () (@var "A_17" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1149 () (@var "A_18" tptp.x_a)) % 151.30/151.69 (define @t1150 () (@var "A_16" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1151 () (@var "A_16" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1152 () (@var "A_16" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1153 () (@var "A_15" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1154 () (@var "F_6" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t1155 () (@var "F_5" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t1156 () (@var "A_14" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1157 () (@var "F_4" (-> tptp.pname tptp.x_a))) % 151.30/151.69 (define @t1158 () (@var "P_4" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1159 () (@var "A_13" tptp.nat)) % 151.30/151.69 (define @t1160 () (_ tptp.collect_nat (lambda @t186 (and (= @t183 @t1159) (_ @t1158 @t183))))) % 151.30/151.69 (define @t1161 () (_ @t1158 @t1159)) % 151.30/151.69 (define @t1162 () (@var "P_4" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1163 () (@var "A_13" tptp.pname)) % 151.30/151.69 (define @t1164 () (_ tptp.collect_pname (lambda @t182 (and (= @t179 @t1163) (_ @t1162 @t179))))) % 151.30/151.69 (define @t1165 () (_ @t1162 @t1163)) % 151.30/151.69 (define @t1166 () (@var "P_4" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1167 () (@var "A_13" tptp.x_a)) % 151.30/151.69 (define @t1168 () (_ tptp.collect_a (lambda @t166 (and (= @t163 @t1167) (_ @t1166 @t163))))) % 151.30/151.69 (define @t1169 () (_ @t1166 @t1167)) % 151.30/151.69 (define @t1170 () (@var "P_4" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1171 () (@var "A_13" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1172 () (_ tptp.collect_nat_o (lambda @t170 (and (= @t167 @t1171) (_ @t1170 @t167))))) % 151.30/151.69 (define @t1173 () (_ @t1170 @t1171)) % 151.30/151.69 (define @t1174 () (@var "P_4" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1175 () (@var "A_13" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1176 () (_ tptp.collect_pname_o (lambda @t174 (and (= @t171 @t1175) (_ @t1174 @t171))))) % 151.30/151.69 (define @t1177 () (_ @t1174 @t1175)) % 151.30/151.69 (define @t1178 () (@var "P_4" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1179 () (@var "A_13" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1180 () (_ tptp.collect_a_o (lambda @t178 (and (= @t175 @t1179) (_ @t1178 @t175))))) % 151.30/151.69 (define @t1181 () (_ @t1178 @t1179)) % 151.30/151.69 (define @t1182 () (@var "P_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1183 () (@var "A_12" tptp.nat)) % 151.30/151.69 (define @t1184 () (_ tptp.collect_nat (lambda @t186 (and (= @t1183 @t183) (_ @t1182 @t183))))) % 151.30/151.69 (define @t1185 () (_ @t1182 @t1183)) % 151.30/151.69 (define @t1186 () (@var "P_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1187 () (@var "A_12" tptp.pname)) % 151.30/151.69 (define @t1188 () (_ tptp.collect_pname (lambda @t182 (and (= @t1187 @t179) (_ @t1186 @t179))))) % 151.30/151.69 (define @t1189 () (_ @t1186 @t1187)) % 151.30/151.69 (define @t1190 () (@var "P_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1191 () (@var "A_12" tptp.x_a)) % 151.30/151.69 (define @t1192 () (_ tptp.collect_a (lambda @t166 (and (= @t1191 @t163) (_ @t1190 @t163))))) % 151.30/151.69 (define @t1193 () (_ @t1190 @t1191)) % 151.30/151.69 (define @t1194 () (@var "P_3" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1195 () (@var "A_12" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1196 () (_ tptp.collect_nat_o (lambda @t170 (and (= @t1195 @t167) (_ @t1194 @t167))))) % 151.30/151.69 (define @t1197 () (_ @t1194 @t1195)) % 151.30/151.69 (define @t1198 () (@var "P_3" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1199 () (@var "A_12" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1200 () (_ tptp.collect_pname_o (lambda @t174 (and (= @t1199 @t171) (_ @t1198 @t171))))) % 151.30/151.69 (define @t1201 () (_ @t1198 @t1199)) % 151.30/151.69 (define @t1202 () (@var "P_3" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1203 () (@var "A_12" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1204 () (_ tptp.collect_a_o (lambda @t178 (and (= @t1203 @t175) (_ @t1202 @t175))))) % 151.30/151.69 (define @t1205 () (_ @t1202 @t1203)) % 151.30/151.69 (define @t1206 () (@var "A_11" tptp.nat)) % 151.30/151.69 (define @t1207 () (@var "A_11" tptp.pname)) % 151.30/151.69 (define @t1208 () (@var "A_11" tptp.x_a)) % 151.30/151.69 (define @t1209 () (@var "A_11" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1210 () (@var "A_11" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1211 () (@var "A_11" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1212 () (@var "A_10" tptp.nat)) % 151.30/151.69 (define @t1213 () (@var "A_10" tptp.pname)) % 151.30/151.69 (define @t1214 () (@var "A_10" tptp.x_a)) % 151.30/151.69 (define @t1215 () (@var "A_10" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1216 () (@var "A_10" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1217 () (@var "A_10" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1218 () (@var "X_12" tptp.nat)) % 151.30/151.69 (define @t1219 () (_ (_ tptp.insert_nat @t1218) tptp.bot_bot_nat_o)) % 151.30/151.69 (define @t1220 () (@var "A_9" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1221 () (@var "X_12" tptp.pname)) % 151.30/151.69 (define @t1222 () (_ (_ tptp.insert_pname @t1221) tptp.bot_bot_pname_o)) % 151.30/151.69 (define @t1223 () (@var "A_9" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1224 () (@var "X_12" tptp.x_a)) % 151.30/151.69 (define @t1225 () (_ (_ tptp.insert_a @t1224) tptp.bot_bot_a_o)) % 151.30/151.69 (define @t1226 () (@var "A_9" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1227 () (@var "C_6" tptp.x_a)) % 151.30/151.69 (define @t1228 () (@var "A_8" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1229 () (@var "X_11" tptp.pname)) % 151.30/151.69 (define @t1230 () (@var "C_5" tptp.x_a)) % 151.30/151.69 (define @t1231 () (@var "A_7" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1232 () (_ (_ tptp.image_pname_a (lambda @t182 @t1230)) @t1231)) % 151.30/151.69 (define @t1233 () (= @t1231 tptp.bot_bot_pname_o)) % 151.30/151.69 (define @t1234 () (@var "X_10" tptp.nat)) % 151.30/151.69 (define @t1235 () (@var "Y_9" tptp.nat)) % 151.30/151.69 (define @t1236 () (@var "X_9" Bool)) % 151.30/151.69 (define @t1237 () (@var "Z_2" Bool)) % 151.30/151.69 (define @t1238 () (_ tptp.ord_less_eq_o @t1237)) % 151.30/151.69 (define @t1239 () (@var "Y_8" Bool)) % 151.30/151.69 (define @t1240 () (@var "X_9" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1241 () (@var "Z_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1242 () (_ tptp.ord_less_eq_nat_o @t1241)) % 151.30/151.69 (define @t1243 () (@var "Y_8" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1244 () (@var "X_9" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1245 () (@var "Z_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1246 () (_ tptp.ord_less_eq_pname_o @t1245)) % 151.30/151.69 (define @t1247 () (@var "Y_8" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1248 () (@var "X_9" tptp.nat)) % 151.30/151.69 (define @t1249 () (@var "Z_2" tptp.nat)) % 151.30/151.69 (define @t1250 () (_ tptp.ord_less_eq_nat @t1249)) % 151.30/151.69 (define @t1251 () (@var "Y_8" tptp.nat)) % 151.30/151.69 (define @t1252 () (@var "X_9" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1253 () (@var "Z_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1254 () (_ tptp.ord_less_eq_a_o @t1253)) % 151.30/151.69 (define @t1255 () (@var "Y_8" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1256 () (@var "Y_7" Bool)) % 151.30/151.69 (define @t1257 () (@var "X_8" Bool)) % 151.30/151.69 (define @t1258 () (@var "Y_7" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1259 () (@var "X_8" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1260 () (@var "Y_7" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1261 () (@var "X_8" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1262 () (@var "Y_7" tptp.nat)) % 151.30/151.69 (define @t1263 () (@var "X_8" tptp.nat)) % 151.30/151.69 (define @t1264 () (@var "Y_7" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1265 () (@var "X_8" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1266 () (@var "Z_1" Bool)) % 151.30/151.69 (define @t1267 () (@var "X_7" Bool)) % 151.30/151.69 (define @t1268 () (_ tptp.ord_less_eq_o @t1267)) % 151.30/151.69 (define @t1269 () (@var "Y_6" Bool)) % 151.30/151.69 (define @t1270 () (@var "Z_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1271 () (@var "X_7" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1272 () (_ tptp.ord_less_eq_nat_o @t1271)) % 151.30/151.69 (define @t1273 () (@var "Y_6" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1274 () (@var "Z_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1275 () (@var "X_7" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1276 () (_ tptp.ord_less_eq_pname_o @t1275)) % 151.30/151.69 (define @t1277 () (@var "Y_6" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1278 () (@var "Z_1" tptp.nat)) % 151.30/151.69 (define @t1279 () (@var "X_7" tptp.nat)) % 151.30/151.69 (define @t1280 () (_ tptp.ord_less_eq_nat @t1279)) % 151.30/151.69 (define @t1281 () (@var "Y_6" tptp.nat)) % 151.30/151.69 (define @t1282 () (@var "Z_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1283 () (@var "X_7" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1284 () (_ tptp.ord_less_eq_a_o @t1283)) % 151.30/151.69 (define @t1285 () (@var "Y_6" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1286 () (@var "Y_5" Bool)) % 151.30/151.69 (define @t1287 () (@var "X_6" Bool)) % 151.30/151.69 (define @t1288 () (@var "Y_5" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1289 () (@var "X_6" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1290 () (@var "Y_5" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1291 () (@var "X_6" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1292 () (@var "Y_5" tptp.nat)) % 151.30/151.69 (define @t1293 () (@var "X_6" tptp.nat)) % 151.30/151.69 (define @t1294 () (@var "Y_5" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1295 () (@var "X_6" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1296 () (@var "A_6" Bool)) % 151.30/151.69 (define @t1297 () (@var "C_4" Bool)) % 151.30/151.69 (define @t1298 () (@var "B_4" Bool)) % 151.30/151.69 (define @t1299 () (@var "A_6" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1300 () (@var "C_4" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1301 () (@var "B_4" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1302 () (@var "A_6" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1303 () (@var "C_4" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1304 () (@var "B_4" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1305 () (@var "A_6" tptp.nat)) % 151.30/151.69 (define @t1306 () (@var "C_4" tptp.nat)) % 151.30/151.69 (define @t1307 () (@var "B_4" tptp.nat)) % 151.30/151.69 (define @t1308 () (@var "A_6" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1309 () (@var "C_4" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1310 () (@var "B_4" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1311 () (@var "C_3" Bool)) % 151.30/151.69 (define @t1312 () (@var "A_5" Bool)) % 151.30/151.69 (define @t1313 () (_ tptp.ord_less_eq_o @t1312)) % 151.30/151.69 (define @t1314 () (@var "B_3" Bool)) % 151.30/151.69 (define @t1315 () (@var "C_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1316 () (@var "A_5" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1317 () (_ tptp.ord_less_eq_nat_o @t1316)) % 151.30/151.69 (define @t1318 () (@var "B_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1319 () (@var "C_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1320 () (@var "A_5" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1321 () (_ tptp.ord_less_eq_pname_o @t1320)) % 151.30/151.69 (define @t1322 () (@var "B_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1323 () (@var "C_3" tptp.nat)) % 151.30/151.69 (define @t1324 () (@var "A_5" tptp.nat)) % 151.30/151.69 (define @t1325 () (_ tptp.ord_less_eq_nat @t1324)) % 151.30/151.69 (define @t1326 () (@var "B_3" tptp.nat)) % 151.30/151.69 (define @t1327 () (@var "C_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1328 () (@var "A_5" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1329 () (_ tptp.ord_less_eq_a_o @t1328)) % 151.30/151.69 (define @t1330 () (@var "B_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1331 () (@var "A_4" Bool)) % 151.30/151.69 (define @t1332 () (@var "C_2" Bool)) % 151.30/151.69 (define @t1333 () (_ tptp.ord_less_eq_o @t1332)) % 151.30/151.69 (define @t1334 () (@var "B_2" Bool)) % 151.30/151.69 (define @t1335 () (@var "A_4" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1336 () (@var "C_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1337 () (_ tptp.ord_less_eq_nat_o @t1336)) % 151.30/151.69 (define @t1338 () (@var "B_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1339 () (@var "A_4" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1340 () (@var "C_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1341 () (_ tptp.ord_less_eq_pname_o @t1340)) % 151.30/151.69 (define @t1342 () (@var "B_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1343 () (@var "A_4" tptp.nat)) % 151.30/151.69 (define @t1344 () (@var "C_2" tptp.nat)) % 151.30/151.69 (define @t1345 () (_ tptp.ord_less_eq_nat @t1344)) % 151.30/151.69 (define @t1346 () (@var "B_2" tptp.nat)) % 151.30/151.69 (define @t1347 () (@var "A_4" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1348 () (@var "C_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1349 () (_ tptp.ord_less_eq_a_o @t1348)) % 151.30/151.69 (define @t1350 () (@var "B_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1351 () (@var "C_1" Bool)) % 151.30/151.69 (define @t1352 () (@var "A_3" Bool)) % 151.30/151.69 (define @t1353 () (@var "B_1" Bool)) % 151.30/151.69 (define @t1354 () (@var "C_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1355 () (@var "A_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1356 () (@var "B_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1357 () (@var "C_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1358 () (@var "A_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1359 () (@var "B_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1360 () (@var "C_1" tptp.nat)) % 151.30/151.69 (define @t1361 () (@var "A_3" tptp.nat)) % 151.30/151.69 (define @t1362 () (@var "B_1" tptp.nat)) % 151.30/151.69 (define @t1363 () (@var "C_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1364 () (@var "A_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1365 () (@var "B_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1366 () (@var "Y_4" Bool)) % 151.30/151.69 (define @t1367 () (@var "X_5" Bool)) % 151.30/151.69 (define @t1368 () (@var "Y_4" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1369 () (@var "X_5" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1370 () (@var "Y_4" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1371 () (@var "X_5" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1372 () (@var "Y_4" tptp.nat)) % 151.30/151.69 (define @t1373 () (@var "X_5" tptp.nat)) % 151.30/151.69 (define @t1374 () (@var "Y_4" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1375 () (@var "X_5" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1376 () (@var "Y_3" Bool)) % 151.30/151.69 (define @t1377 () (@var "X_4" Bool)) % 151.30/151.69 (define @t1378 () (@var "Y_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1379 () (@var "X_4" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1380 () (@var "Y_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1381 () (@var "X_4" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1382 () (@var "Y_3" tptp.nat)) % 151.30/151.69 (define @t1383 () (@var "X_4" tptp.nat)) % 151.30/151.69 (define @t1384 () (@var "Y_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1385 () (@var "X_4" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1386 () (@var "X_3" Bool)) % 151.30/151.69 (define @t1387 () (@var "Y_2" Bool)) % 151.30/151.69 (define @t1388 () (@var "X_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1389 () (@var "Y_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1390 () (@var "X_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1391 () (@var "Y_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1392 () (@var "X_3" tptp.nat)) % 151.30/151.69 (define @t1393 () (@var "Y_2" tptp.nat)) % 151.30/151.69 (define @t1394 () (@var "X_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1395 () (@var "Y_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1396 () (@var "X_2" tptp.nat)) % 151.30/151.69 (define @t1397 () (@var "Y_1" tptp.nat)) % 151.30/151.69 (define @t1398 () (@var "F_3" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1399 () (@var "P_2" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1400 () (@var "F_2" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1401 () (@var "A_1" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1402 () (@var "F_3" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1403 () (@var "P_2" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1404 () (@var "F_2" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1405 () (@var "A_1" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1406 () (@var "F_3" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1407 () (@var "P_2" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1408 () (@var "F_2" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1409 () (@var "A_1" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1410 () (@var "F_3" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1411 () (@var "P_2" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 151.30/151.69 (define @t1412 () (@var "F_2" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1413 () (@var "A_1" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1414 () (_ tptp.finite_finite_nat_o @t1412)) % 151.30/151.69 (define @t1415 () (@var "F_3" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1416 () (@var "P_2" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 151.30/151.69 (define @t1417 () (@var "F_2" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1418 () (@var "A_1" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1419 () (_ tptp.finite297249702name_o @t1417)) % 151.30/151.69 (define @t1420 () (@var "F_3" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1421 () (@var "P_2" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 151.30/151.69 (define @t1422 () (@var "F_2" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1423 () (@var "A_1" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1424 () (_ tptp.finite_finite_a_o @t1422)) % 151.30/151.69 (define @t1425 () (@var "Pn" tptp.pname)) % 151.30/151.69 (define @t1426 () (_ tptp.insert_a (_ tptp.mgt_call @t1425))) % 151.30/151.69 (define @t1427 () (_ tptp.the_com (_ tptp.body @t1425))) % 151.30/151.69 (define @t1428 () (@var "F_1" (-> (-> tptp.nat Bool) Bool))) % 151.30/151.69 (define @t1429 () (@var "P_1" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 151.30/151.69 (define @t1430 () (@var "F_1" (-> (-> tptp.pname Bool) Bool))) % 151.30/151.69 (define @t1431 () (@var "P_1" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 151.30/151.69 (define @t1432 () (@var "F_1" (-> (-> tptp.x_a Bool) Bool))) % 151.30/151.69 (define @t1433 () (@var "P_1" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 151.30/151.69 (define @t1434 () (@var "U" tptp.nat)) % 151.30/151.69 (define @t1435 () (@var "F" (-> tptp.nat tptp.nat))) % 151.30/151.69 (define @t1436 () (_ @t1435 @t198)) % 151.30/151.69 (define @t1437 () (_ tptp.plus_plus_nat @t188)) % 151.30/151.69 (define @t1438 () (_ @t1437 @t187)) % 151.30/151.69 (define @t1439 () (_ tptp.suc @t1438)) % 151.30/151.69 (define @t1440 () (_ @t1437 @t202)) % 151.30/151.69 (define @t1441 () (_ (_ tptp.plus_plus_nat @t191) @t187)) % 151.30/151.69 (define @t1442 () (_ tptp.plus_plus_nat @t187)) % 151.30/151.69 (define @t1443 () (_ @t1442 @t197)) % 151.30/151.69 (define @t1444 () (_ @t1437 @t197)) % 151.30/151.69 (define @t1445 () (@list @t188 @t197 @t187)) % 151.30/151.69 (define @t1446 () (_ tptp.plus_plus_nat @t197)) % 151.30/151.69 (define @t1447 () (_ @t1446 @t187)) % 151.30/151.69 (define @t1448 () (_ @t1446 @t188)) % 151.30/151.69 (define @t1449 () (@list @t197 @t188 @t187)) % 151.30/151.69 (define @t1450 () (@var "Z" tptp.nat)) % 151.30/151.69 (define @t1451 () (_ tptp.plus_plus_nat @t207)) % 151.30/151.69 (define @t1452 () (_ tptp.plus_plus_nat @t206)) % 151.30/151.69 (define @t1453 () (_ @t1452 @t1450)) % 151.30/151.69 (define @t1454 () (_ @t1442 @t188)) % 151.30/151.69 (define @t1455 () (_ tptp.minus_minus_nat @t1454)) % 151.30/151.69 (define @t1456 () (_ tptp.plus_plus_nat @t219)) % 151.30/151.69 (define @t1457 () (_ @t1456 @t197)) % 151.30/151.69 (define @t1458 () (_ tptp.minus_minus_nat @t1444)) % 151.30/151.69 (define @t1459 () (@var "K_1" tptp.nat)) % 151.30/151.69 (define @t1460 () (_ @t1437 @t1459)) % 151.30/151.69 (define @t1461 () (@list @t1459)) % 151.30/151.69 (define @t1462 () (_ @t1456 @t188)) % 151.30/151.69 (define @t1463 () (@list @t188 @t217 @t219)) % 151.30/151.69 (define @t1464 () (_ @t1437 @t219)) % 151.30/151.69 (define @t1465 () (_ tptp.plus_plus_nat @t217)) % 151.30/151.69 (define @t1466 () (_ @t1465 @t197)) % 151.30/151.69 (define @t1467 () (_ tptp.ord_less_eq_nat @t1466)) % 151.30/151.69 (define @t1468 () (_ @t1456 @t288)) % 151.30/151.69 (define @t1469 () (@list @t197 @t288 @t217 @t219)) % 151.30/151.69 (define @t1470 () (_ (_ tptp.ord_less_eq_nat @t1444) @t187)) % 151.30/151.69 (define @t1471 () (_ tptp.minus_minus_nat @t219)) % 151.30/151.69 (define @t1472 () (_ @t1471 @t197)) % 151.30/151.69 (define @t1473 () (_ (_ tptp.plus_plus_nat @t1472) @t217)) % 151.30/151.69 (define @t1474 () (_ @t1456 @t217)) % 151.30/151.69 (define @t1475 () (_ (_ tptp.minus_minus_nat @t1474) @t197)) % 151.30/151.69 (define @t1476 () (_ @t284 @t219)) % 151.30/151.69 (define @t1477 () (@list @t217 @t197 @t219)) % 151.30/151.69 (define @t1478 () (_ @t1465 @t1472)) % 151.30/151.69 (define @t1479 () (_ @t1465 @t219)) % 151.30/151.69 (define @t1480 () (_ (_ tptp.minus_minus_nat @t1479) @t197)) % 151.30/151.69 (define @t1481 () (= (_ @t1442 @t190) @t188)) % 151.30/151.69 (define @t1482 () (_ tptp.suc @t219)) % 151.30/151.69 (define @t1483 () (_ tptp.suc @t1472)) % 151.30/151.69 (define @t1484 () (@list @t188 @t197 @t219)) % 151.30/151.69 (define @t1485 () (_ tptp.ord_less_eq_nat @t207)) % 151.30/151.69 (define @t1486 () (_ @t1485 @t1453)) % 151.30/151.69 (define @t1487 () (_ @t1485 @t206)) % 151.30/151.69 (define @t1488 () (@list @t1450 @t207 @t206)) % 151.30/151.69 (define @t1489 () (@list @t206 @t207 @t1450)) % 151.30/151.69 (define @t1490 () (_ tptp.ord_less_nat @t187)) % 151.30/151.69 (define @t1491 () (_ tptp.ord_less_nat @t191)) % 151.30/151.69 (define @t1492 () (_ @t1491 @t202)) % 151.30/151.69 (define @t1493 () (_ tptp.ord_less_nat @t188)) % 151.30/151.69 (define @t1494 () (_ @t1493 @t187)) % 151.30/151.69 (define @t1495 () (_ tptp.ord_less_nat @t207)) % 151.30/151.69 (define @t1496 () (_ @t1495 @t1453)) % 151.30/151.69 (define @t1497 () (_ @t1495 @t206)) % 151.30/151.69 (define @t1498 () (_ tptp.ord_less_nat @t217)) % 151.30/151.69 (define @t1499 () (_ @t1498 @t197)) % 151.30/151.69 (define @t1500 () (_ tptp.ord_less_nat @t1479)) % 151.30/151.69 (define @t1501 () (_ (_ tptp.ord_less_nat @t197) @t288)) % 151.30/151.69 (define @t1502 () (_ tptp.ord_less_nat @t1466)) % 151.30/151.69 (define @t1503 () (_ @t1498 @t219)) % 151.30/151.69 (define @t1504 () (_ @t1491 @t187)) % 151.30/151.69 (define @t1505 () (not @t1494)) % 151.30/151.69 (define @t1506 () (_ @t1493 @t202)) % 151.30/151.69 (define @t1507 () (_ tptp.suc @t217)) % 151.30/151.69 (define @t1508 () (_ (_ tptp.ord_less_nat @t1507) @t197)) % 151.30/151.69 (define @t1509 () (_ (_ tptp.ord_less_nat @t219) @t197)) % 151.30/151.69 (define @t1510 () (_ @t1490 @t191)) % 151.30/151.69 (define @t1511 () (_ @t1490 @t188)) % 151.30/151.69 (define @t1512 () (not @t1511)) % 151.30/151.69 (define @t1513 () (= @t1510 (= @t187 @t188))) % 151.30/151.69 (define @t1514 () (or @t1494 @t213)) % 151.30/151.69 (define @t1515 () (not @t213)) % 151.30/151.69 (define @t1516 () (not @t208)) % 151.30/151.69 (define @t1517 () (@var "T" tptp.nat)) % 151.30/151.69 (define @t1518 () (@var "S" tptp.nat)) % 151.30/151.69 (define @t1519 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 151.30/151.69 (define @t1520 () (_ (_ @t1519 @t187) @t188)) % 151.30/151.69 (define @t1521 () (_ tptp.ord_less_nat @t183)) % 151.30/151.69 (define @t1522 () (_ tptp.ord_less_nat @t203)) % 151.30/151.69 (define @t1523 () (@list @t217 @t188)) % 151.30/151.69 (define @t1524 () (exists @t1461 (= @t187 (_ tptp.suc @t1460)))) % 151.30/151.69 (define @t1525 () (@var "C" tptp.nat)) % 151.30/151.69 (define @t1526 () (@var "B" tptp.nat)) % 151.30/151.69 (define @t1527 () (@var "A" tptp.nat)) % 151.30/151.69 (define @t1528 () (@var "J" tptp.nat)) % 151.30/151.69 (define @t1529 () (not (forall (@list @t1528) (=> (_ @t1498 @t1528) (not (= @t197 (_ tptp.suc @t1528))))))) % 151.30/151.69 (define @t1530 () (@list @t217 @t197)) % 151.30/151.69 (define @t1531 () (_ tptp.suc tptp.zero_zero_nat)) % 151.30/151.69 (define @t1532 () (= @t187 tptp.zero_zero_nat)) % 151.30/151.69 (define @t1533 () (or (and (= @t188 @t1531) @t1532) (and (= @t188 tptp.zero_zero_nat) (= @t187 @t1531)))) % 151.30/151.69 (define @t1534 () (= @t190 tptp.zero_zero_nat)) % 151.30/151.69 (define @t1535 () (@list @t188)) % 151.30/151.69 (define @t1536 () (@var "Nat_1" tptp.nat)) % 151.30/151.69 (define @t1537 () (@var "Y" tptp.x_a)) % 151.30/151.69 (define @t1538 () (@var "X" tptp.x_a)) % 151.30/151.69 (define @t1539 () (= @t1538 @t1537)) % 151.30/151.69 (define @t1540 () (_ (_ tptp.fequal_a @t1538) @t1537)) % 151.30/151.69 (define @t1541 () (@list @t1538 @t1537)) % 151.30/151.69 (define @t1542 () (_ (_ tptp.fequal_nat @t207) @t206)) % 151.30/151.69 (define @t1543 () (@var "Y" tptp.pname)) % 151.30/151.69 (define @t1544 () (@var "X" tptp.pname)) % 151.30/151.69 (define @t1545 () (= @t1544 @t1543)) % 151.30/151.69 (define @t1546 () (_ (_ tptp.fequal_pname @t1544) @t1543)) % 151.30/151.69 (define @t1547 () (@list @t1544 @t1543)) % 151.30/151.69 (define @t1548 () (@var "Y" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1549 () (@var "X" (-> tptp.x_a Bool))) % 151.30/151.69 (define @t1550 () (= @t1549 @t1548)) % 151.30/151.69 (define @t1551 () (_ (_ tptp.fequal_a_o @t1549) @t1548)) % 151.30/151.69 (define @t1552 () (@list @t1549 @t1548)) % 151.30/151.69 (define @t1553 () (@var "Y" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1554 () (@var "X" (-> tptp.nat Bool))) % 151.30/151.69 (define @t1555 () (= @t1554 @t1553)) % 151.30/151.69 (define @t1556 () (_ (_ tptp.fequal_nat_o @t1554) @t1553)) % 151.30/151.69 (define @t1557 () (@list @t1554 @t1553)) % 151.30/151.69 (define @t1558 () (@var "Y" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1559 () (@var "X" (-> tptp.pname Bool))) % 151.30/151.69 (define @t1560 () (= @t1559 @t1558)) % 151.30/151.69 (define @t1561 () (_ (_ tptp.fequal_pname_o @t1559) @t1558)) % 151.30/151.69 (define @t1562 () (@list @t1559 @t1558)) % 151.30/151.69 (define @t1563 () (_ (_ tptp.image_pname_a tptp.mgt_call) tptp.u)) % 151.30/151.69 (define @t1564 () (_ (_ tptp.ord_less_eq_a_o tptp.g) @t1563)) % 151.30/151.69 (define @t1565 () (_ tptp.finite_card_a @t1563)) % 151.30/151.69 (define @t1566 () (_ tptp.suc tptp.na)) % 151.30/151.69 (define @t1567 () (_ (_ tptp.member_pname tptp.pn) tptp.u)) % 151.30/151.69 (define @t1568 () (_ tptp.mgt_call tptp.pn)) % 151.30/151.69 (define @t1569 () (not (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.insert_a @t1568) tptp.g)) @t1563))) % 151.30/151.69 (define @t1570 () (@var "BOUND_VARIABLE_33108" (@ho-elim-sort (-> tptp.pname Bool)))) % 151.30/151.69 (define @t1571 () (@var "BOUND_VARIABLE_33172" (@ho-elim-sort (-> tptp.pname tptp.x_a)))) % 151.30/151.69 (define @t1572 () (@const 0 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname tptp.x_a)) (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool)))) % 151.30/151.69 (define @t1573 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname tptp.x_a)) (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool)) (@ho-elim-sort (-> tptp.pname tptp.x_a)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool))))) % 151.30/151.69 (define @t1574 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool)) (@ho-elim-sort (-> tptp.pname Bool)) (@ho-elim-sort (-> tptp.x_a Bool))))) % 151.30/151.69 (define @t1575 () (@const 3 (-> (@ho-elim-sort (-> tptp.pname tptp.x_a)) tptp.pname tptp.x_a))) % 151.30/151.69 (define @t1576 () (@const 4 (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) Bool)))) % 151.30/151.69 (define @t1577 () (@const 5 (-> (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) Bool)) tptp.x_a (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) Bool))))) % 151.30/151.69 (define @t1578 () (@const 6 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) Bool))) % 151.30/151.69 (define @t1579 () (@const 7 (@ho-elim-sort (-> tptp.pname (@ho-elim-sort (-> tptp.pname Bool)) Bool)))) % 151.30/151.69 (define @t1580 () (@const 8 (-> (@ho-elim-sort (-> tptp.pname (@ho-elim-sort (-> tptp.pname Bool)) Bool)) tptp.pname (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) Bool))))) % 151.30/151.69 (define @t1581 () (@const 9 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) Bool)) (@ho-elim-sort (-> tptp.pname Bool)) Bool))) % 151.30/151.69 (define @t1582 () (forall (@list @t1570 @t1571 @t534) (or (not (_ @t1581 (_ @t1580 @t1579 @t534) @t1570)) (_ @t1578 (_ @t1577 @t1576 (_ @t1575 @t1571 @t534)) (_ @t1574 (_ @t1573 @t1572 @t1571) @t1570))))) % 151.30/151.69 (define @t1583 () (_ @t547 @t534)) % 151.30/151.69 (define @t1584 () (tptp.member_a @t1583 @t548)) % 151.30/151.69 (define @t1585 () (tptp.member_pname @t534 @t530)) % 151.30/151.69 (define @t1586 () (not @t1585)) % 151.30/151.69 (define @t1587 () (or @t1586 @t1584)) % 151.30/151.69 (define @t1588 () (@list @t530 @t547 @t534)) % 151.30/151.69 (define @t1589 () (not (= @t1583 @t1583))) % 151.30/151.69 (define @t1590 () (or @t1589 @t1586 @t1584)) % 151.30/151.69 (define @t1591 () (tptp.member_a @t545 @t548)) % 151.30/151.69 (define @t1592 () (not (= @t545 @t1583))) % 151.30/151.69 (define @t1593 () (or @t1592 @t1592 @t1586 @t1591)) % 151.30/151.69 (define @t1594 () (@list @t545)) % 151.30/151.69 (define @t1595 () (or @t1592 @t1586 @t1591)) % 151.30/151.69 (define @t1596 () (forall @t1594 @t1595)) % 151.30/151.69 (define @t1597 () (forall @t1588 @t1596)) % 151.30/151.69 (define @t1598 () (forall (@list @t530 @t547 @t534 @t545) @t1595)) % 151.30/151.69 (define @t1599 () (not @t535)) % 151.30/151.69 (define @t1600 () (not @t552)) % 151.30/151.69 (define @t1601 () (or @t1600 @t1599 @t549)) % 151.30/151.69 (define @t1602 () (@var "BOUND_VARIABLE_34651" (@ho-elim-sort (-> tptp.x_a Bool)))) % 151.30/151.69 (define @t1603 () (@var "BOUND_VARIABLE_34652" (@ho-elim-sort (-> tptp.x_a Bool)))) % 151.30/151.69 (define @t1604 () (@const 10 (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool)))) % 151.30/151.69 (define @t1605 () (@const 11 (-> (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool)) tptp.x_a (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool))))) % 151.30/151.69 (define @t1606 () (@const 12 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool))))) % 151.30/151.69 (define @t1607 () (@const 13 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) Bool)))) % 151.30/151.69 (define @t1608 () (@const 14 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) Bool))))) % 151.30/151.69 (define @t1609 () (_ @t1578 (_ @t1608 @t1607 (_ @t1606 (_ @t1605 @t1604 @t869) @t1603)) @t1602)) % 151.30/151.69 (define @t1610 () (and (_ @t1578 (_ @t1577 @t1576 @t869) @t1602) (_ @t1578 (_ @t1608 @t1607 @t1603) @t1602))) % 151.30/151.69 (define @t1611 () (@list @t869 @t1603 @t1602)) % 151.30/151.69 (define @t1612 () (forall @t1611 (= @t1609 @t1610))) % 151.30/151.69 (define @t1613 () (tptp.ord_less_eq_a_o @t867 @t866)) % 151.30/151.69 (define @t1614 () (tptp.member_a @t869 @t866)) % 151.30/151.69 (define @t1615 () (tptp.ord_less_eq_a_o @t872 @t866)) % 151.30/151.69 (define @t1616 () (@const 15 (@ho-elim-sort (-> tptp.pname Bool)))) % 151.30/151.69 (define @t1617 () (@const 16 (@ho-elim-sort (-> tptp.pname tptp.x_a)))) % 151.30/151.69 (define @t1618 () (_ @t1574 (_ @t1573 @t1572 @t1617) @t1616)) % 151.30/151.69 (define @t1619 () (@const 17 (@ho-elim-sort (-> tptp.x_a Bool)))) % 151.30/151.69 (define @t1620 () (_ @t1578 (_ @t1608 @t1607 @t1619) @t1618)) % 151.30/151.69 (define @t1621 () (_ @t1575 @t1617 tptp.pn)) % 151.30/151.69 (define @t1622 () (_ @t1578 (_ @t1577 @t1576 @t1621) @t1618)) % 151.30/151.69 (define @t1623 () (and @t1622 @t1620)) % 151.30/151.69 (define @t1624 () (_ @t1578 (_ @t1608 @t1607 (_ @t1606 (_ @t1605 @t1604 @t1621) @t1619)) @t1618)) % 151.30/151.69 (define @t1625 () (forall @t1611 (= @t1610 @t1609))) % 151.30/151.69 (define @t1626 () (= @t1623 @t1624)) % 151.30/151.69 (define @t1627 () (= @t1624 @t1623)) % 151.30/151.69 (define @t1628 () (not @t1623)) % 151.30/151.69 (define @t1629 () (@list true false)) % 151.30/151.69 (define @t1630 () (not @t1622)) % 151.30/151.69 (define @t1631 () (@list false true)) % 151.30/151.69 (define @t1632 () (_ @t1581 (_ @t1580 @t1579 tptp.pn) @t1616)) % 151.30/151.69 (define @t1633 () (not @t1632)) % 151.30/151.69 (define @t1634 () (or @t1633 @t1622)) % 151.30/151.69 (define @t1635 () (not @t1634)) % 151.30/151.69 (assume @p1 (forall (@list @t1 @t2) (=> (_ (_ tptp.ord_less_eq_a_o @t1) @t2) (_ @t3 @t1)))) % 151.30/151.69 (assume @p2 (forall (@list @t4) (=> (_ tptp.finite_finite_nat_o @t4) (_ tptp.finite1676163439at_o_o (_ tptp.collect_nat_o_o (lambda (@list @t5) (_ (_ tptp.ord_less_eq_nat_o_o @t5) @t4))))))) % 151.30/151.69 (assume @p3 (forall (@list @t6) (=> (_ tptp.finite297249702name_o @t6) (_ tptp.finite1066544169me_o_o (_ tptp.collect_pname_o_o (lambda (@list @t7) (_ (_ tptp.ord_le1205211808me_o_o @t7) @t6))))))) % 151.30/151.69 (assume @p4 (forall (@list @t8) (=> (_ tptp.finite_finite_a_o @t8) (_ tptp.finite_finite_a_o_o (_ tptp.collect_a_o_o (lambda (@list @t9) (_ (_ tptp.ord_less_eq_a_o_o @t9) @t8))))))) % 151.30/151.69 (assume @p5 (forall (@list @t10) (=> (_ tptp.finite_finite_a @t10) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda (@list @t11) (_ (_ tptp.ord_less_eq_a_o @t11) @t10))))))) % 151.30/151.69 (assume @p6 (forall (@list @t12) (=> (_ tptp.finite_finite_pname @t12) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda (@list @t13) (_ (_ tptp.ord_less_eq_pname_o @t13) @t12))))))) % 151.30/151.69 (assume @p7 (forall (@list @t14) (=> (_ tptp.finite_finite_nat @t14) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda (@list @t15) (_ (_ tptp.ord_less_eq_nat_o @t15) @t14))))))) % 151.30/151.69 (assume @p8 (forall (@list @t17 @t16) (=> @t18 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_pname_nat_o @t17) @t16))))) % 151.30/151.69 (assume @p9 (forall (@list @t19 @t16) (=> @t18 (_ tptp.finite297249702name_o (_ (_ tptp.image_pname_pname_o @t19) @t16))))) % 151.30/151.69 (assume @p10 (forall (@list @t20 @t16) (=> @t18 (_ tptp.finite_finite_a_o (_ (_ tptp.image_pname_a_o @t20) @t16))))) % 151.30/151.69 (assume @p11 (forall (@list @t22 @t21) (=> @t23 (_ tptp.finite_finite_a (_ (_ tptp.image_nat_a @t22) @t21))))) % 151.30/151.69 (assume @p12 (forall (@list @t24 @t21) (=> @t23 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_nat_nat_o @t24) @t21))))) % 151.30/151.69 (assume @p13 (forall (@list @t25 @t21) (=> @t23 (_ tptp.finite297249702name_o (_ (_ tptp.image_nat_pname_o @t25) @t21))))) % 151.30/151.69 (assume @p14 (forall (@list @t26 @t21) (=> @t23 (_ tptp.finite_finite_a_o (_ (_ tptp.image_nat_a_o @t26) @t21))))) % 151.30/151.69 (assume @p15 (forall (@list @t28 @t27) (=> @t29 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_pname @t28) @t27))))) % 151.30/151.69 (assume @p16 (forall (@list @t31 @t30) (=> @t32 (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_o_pname @t31) @t30))))) % 151.30/151.69 (assume @p17 (forall (@list @t34 @t33) (=> @t35 (_ tptp.finite_finite_pname (_ (_ tptp.image_pname_o_pname @t34) @t33))))) % 151.30/151.69 (assume @p18 (forall (@list @t37 @t36) (=> @t38 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_o_pname @t37) @t36))))) % 151.30/151.69 (assume @p19 (forall (@list @t39 @t27) (=> @t29 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_nat @t39) @t27))))) % 151.30/151.69 (assume @p20 (forall (@list @t40 @t30) (=> @t32 (_ tptp.finite_finite_nat (_ (_ tptp.image_nat_o_nat @t40) @t30))))) % 151.30/151.69 (assume @p21 (forall (@list @t41 @t33) (=> @t35 (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_o_nat @t41) @t33))))) % 151.30/151.69 (assume @p22 (forall (@list @t42 @t36) (=> @t38 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_o_nat @t42) @t36))))) % 151.30/151.69 (assume @p23 (forall (@list @t43 @t16) (=> @t18 (_ tptp.finite_finite_a (_ (_ tptp.image_pname_a @t43) @t16))))) % 151.30/151.69 (assume @p24 (forall (@list @t45 @t44) (=> (_ tptp.finite_finite_nat_o @t44) (_ tptp.finite_finite_nat_o (_ (_ tptp.insert_nat_o @t45) @t44))))) % 151.30/151.69 (assume @p25 (forall (@list @t47 @t46) (=> (_ tptp.finite297249702name_o @t46) (_ tptp.finite297249702name_o (_ (_ tptp.insert_pname_o @t47) @t46))))) % 151.30/151.69 (assume @p26 (forall (@list @t49 @t48) (=> (_ tptp.finite_finite_a_o @t48) (_ tptp.finite_finite_a_o (_ (_ tptp.insert_a_o @t49) @t48))))) % 151.30/151.69 (assume @p27 (forall (@list @t51 @t50) (=> (_ tptp.finite_finite_pname @t50) (_ tptp.finite_finite_pname (_ (_ tptp.insert_pname @t51) @t50))))) % 151.30/151.69 (assume @p28 (forall (@list @t53 @t52) (=> (_ tptp.finite_finite_nat @t52) (_ tptp.finite_finite_nat (_ (_ tptp.insert_nat @t53) @t52))))) % 151.30/151.69 (assume @p29 (forall (@list @t55 @t54) (=> (_ tptp.finite_finite_a @t54) (_ tptp.finite_finite_a (_ (_ tptp.insert_a @t55) @t54))))) % 151.30/151.69 (assume @p30 (forall (@list @t58 @t56) (=> @t59 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_pname_pname @t58) @t56))) @t57)))) % 151.30/151.69 (assume @p31 (forall (@list @t62 @t60) (=> @t63 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_a @t62) @t60))) @t61)))) % 151.30/151.69 (assume @p32 (forall (@list @t66 @t64) (=> @t67 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_nat_o_a @t66) @t64))) @t65)))) % 151.30/151.69 (assume @p33 (forall (@list @t70 @t68) (=> @t71 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_o_a @t70) @t68))) @t69)))) % 151.30/151.69 (assume @p34 (forall (@list @t74 @t72) (=> @t75 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_o_a @t74) @t72))) @t73)))) % 151.30/151.69 (assume @p35 (forall (@list @t76 @t56) (=> @t59 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_pname_nat @t76) @t56))) @t57)))) % 151.30/151.69 (assume @p36 (forall (@list @t77 @t60) (=> @t63 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_a_nat @t77) @t60))) @t61)))) % 151.30/151.69 (assume @p37 (forall (@list @t78 @t64) (=> @t67 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_nat_o_nat @t78) @t64))) @t65)))) % 151.30/151.69 (assume @p38 (forall (@list @t79 @t68) (=> @t71 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_pname_o_nat @t79) @t68))) @t69)))) % 151.30/151.69 (assume @p39 (forall (@list @t80 @t72) (=> @t75 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_a_o_nat @t80) @t72))) @t73)))) % 151.30/151.69 (assume @p40 (forall (@list @t81 @t60) (=> @t63 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_a_pname @t81) @t60))) @t61)))) % 151.30/151.69 (assume @p41 (forall (@list @t83 @t82) (=> (_ tptp.finite_finite_nat @t82) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_nat_pname @t83) @t82))) (_ tptp.finite_card_nat @t82))))) % 151.30/151.69 (assume @p42 (forall (@list @t84 @t56) (=> @t59 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_a @t84) @t56))) @t57)))) % 151.30/151.69 (assume @p43 (forall (@list @t86 @t85) (=> (_ tptp.finite_finite_nat_o @t85) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t86) @t85) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t86)) (_ tptp.finite_card_nat_o @t85)))))) % 151.30/151.69 (assume @p44 (forall (@list @t88 @t87) (=> (_ tptp.finite297249702name_o @t87) (=> (_ (_ tptp.ord_le1205211808me_o_o @t88) @t87) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t88)) (_ tptp.finite_card_pname_o @t87)))))) % 151.30/151.69 (assume @p45 (forall (@list @t90 @t89) (=> (_ tptp.finite_finite_a_o @t89) (=> (_ (_ tptp.ord_less_eq_a_o_o @t90) @t89) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t90)) (_ tptp.finite_card_a_o @t89)))))) % 151.30/151.69 (assume @p46 (forall (@list @t92 @t91) (=> (_ tptp.finite_finite_pname @t91) (=> (_ (_ tptp.ord_less_eq_pname_o @t92) @t91) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t92)) (_ tptp.finite_card_pname @t91)))))) % 151.30/151.69 (assume @p47 (forall (@list @t94 @t93) (=> (_ tptp.finite_finite_a @t93) (=> (_ (_ tptp.ord_less_eq_a_o @t94) @t93) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t94)) (_ tptp.finite_card_a @t93)))))) % 151.30/151.69 (assume @p48 (forall (@list @t96 @t95) (=> (_ tptp.finite_finite_nat @t95) (=> (_ (_ tptp.ord_less_eq_nat_o @t96) @t95) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t96)) (_ tptp.finite_card_nat @t95)))))) % 151.30/151.69 (assume @p49 (forall (@list @t98 @t97) (=> (_ tptp.finite_finite_nat_o @t97) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t98) @t97) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t97)) (_ tptp.finite_card_nat_o @t98)) (= @t98 @t97)))))) % 151.30/151.69 (assume @p50 (forall (@list @t100 @t99) (=> (_ tptp.finite297249702name_o @t99) (=> (_ (_ tptp.ord_le1205211808me_o_o @t100) @t99) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t99)) (_ tptp.finite_card_pname_o @t100)) (= @t100 @t99)))))) % 151.30/151.69 (assume @p51 (forall (@list @t102 @t101) (=> (_ tptp.finite_finite_a_o @t101) (=> (_ (_ tptp.ord_less_eq_a_o_o @t102) @t101) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t101)) (_ tptp.finite_card_a_o @t102)) (= @t102 @t101)))))) % 151.30/151.69 (assume @p52 (forall (@list @t104 @t103) (=> (_ tptp.finite_finite_pname @t103) (=> (_ (_ tptp.ord_less_eq_pname_o @t104) @t103) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t103)) (_ tptp.finite_card_pname @t104)) (= @t104 @t103)))))) % 151.30/151.69 (assume @p53 (forall (@list @t106 @t105) (=> (_ tptp.finite_finite_a @t105) (=> (_ (_ tptp.ord_less_eq_a_o @t106) @t105) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t105)) (_ tptp.finite_card_a @t106)) (= @t106 @t105)))))) % 151.30/151.69 (assume @p54 (forall (@list @t108 @t107) (=> (_ tptp.finite_finite_nat @t107) (=> (_ (_ tptp.ord_less_eq_nat_o @t108) @t107) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t107)) (_ tptp.finite_card_nat @t108)) (= @t108 @t107)))))) % 151.30/151.69 (assume @p55 (forall (@list @t110 @t109) (=> (_ tptp.finite_finite_nat_o @t109) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t109)) (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t110) @t109)))))) % 151.30/151.69 (assume @p56 (forall (@list @t112 @t111) (=> (_ tptp.finite297249702name_o @t111) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t111)) (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t112) @t111)))))) % 151.30/151.69 (assume @p57 (forall (@list @t114 @t113) (=> (_ tptp.finite_finite_a_o @t113) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t113)) (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t114) @t113)))))) % 151.30/151.69 (assume @p58 (forall (@list @t116 @t115) (=> (_ tptp.finite_finite_pname @t115) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t115)) (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t116) @t115)))))) % 151.30/151.69 (assume @p59 (forall (@list @t118 @t117) (=> (_ tptp.finite_finite_nat @t117) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t117)) (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t118) @t117)))))) % 151.30/151.69 (assume @p60 (forall (@list @t120 @t119) (=> (_ tptp.finite_finite_a @t119) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t119)) (_ tptp.finite_card_a (_ (_ tptp.insert_a @t120) @t119)))))) % 151.30/151.69 (assume @p61 (forall (@list @t123 @t121) (=> (_ tptp.finite_finite_nat_o @t121) (and (=> @t125 (= @t124 @t122)) (=> (not @t125) (= @t124 (_ tptp.suc @t122))))))) % 151.30/151.69 (assume @p62 (forall (@list @t128 @t126) (=> (_ tptp.finite297249702name_o @t126) (and (=> @t130 (= @t129 @t127)) (=> (not @t130) (= @t129 (_ tptp.suc @t127))))))) % 151.30/151.69 (assume @p63 (forall (@list @t133 @t131) (=> (_ tptp.finite_finite_a_o @t131) (and (=> @t135 (= @t134 @t132)) (=> (not @t135) (= @t134 (_ tptp.suc @t132))))))) % 151.30/151.69 (assume @p64 (forall (@list @t138 @t136) (=> (_ tptp.finite_finite_nat @t136) (and (=> @t140 (= @t139 @t137)) (=> (not @t140) (= @t139 (_ tptp.suc @t137))))))) % 151.30/151.69 (assume @p65 (forall (@list @t143 @t141) (=> (_ tptp.finite_finite_pname @t141) (and (=> @t145 (= @t144 @t142)) (=> (not @t145) (= @t144 (_ tptp.suc @t142))))))) % 151.30/151.69 (assume @p66 (forall (@list @t148 @t146) (=> (_ tptp.finite_finite_a @t146) (and (=> @t150 (= @t149 @t147)) (=> (not @t150) (= @t149 (_ tptp.suc @t147))))))) % 151.30/151.69 (assume @p67 (forall (@list @t152 @t151) (=> (_ tptp.finite_finite_nat_o @t151) (=> (not (_ (_ tptp.member_nat_o @t152) @t151)) (= (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t152) @t151)) (_ tptp.suc (_ tptp.finite_card_nat_o @t151))))))) % 151.30/151.69 (assume @p68 (forall (@list @t154 @t153) (=> (_ tptp.finite297249702name_o @t153) (=> (not (_ (_ tptp.member_pname_o @t154) @t153)) (= (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t154) @t153)) (_ tptp.suc (_ tptp.finite_card_pname_o @t153))))))) % 151.30/151.69 (assume @p69 (forall (@list @t156 @t155) (=> (_ tptp.finite_finite_a_o @t155) (=> (not (_ (_ tptp.member_a_o @t156) @t155)) (= (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t156) @t155)) (_ tptp.suc (_ tptp.finite_card_a_o @t155))))))) % 151.30/151.69 (assume @p70 (forall (@list @t158 @t157) (=> (_ tptp.finite_finite_nat @t157) (=> (not (_ (_ tptp.member_nat @t158) @t157)) (= (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t158) @t157)) (_ tptp.suc (_ tptp.finite_card_nat @t157))))))) % 151.30/151.69 (assume @p71 (forall (@list @t160 @t159) (=> (_ tptp.finite_finite_pname @t159) (=> (not (_ (_ tptp.member_pname @t160) @t159)) (= (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t160) @t159)) (_ tptp.suc (_ tptp.finite_card_pname @t159))))))) % 151.30/151.69 (assume @p72 (forall (@list @t162 @t161) (=> (_ tptp.finite_finite_a @t161) (=> (not (_ (_ tptp.member_a @t162) @t161)) (= (_ tptp.finite_card_a (_ (_ tptp.insert_a @t162) @t161)) (_ tptp.suc (_ tptp.finite_card_a @t161))))))) % 151.30/151.69 (assume @p73 (forall (@list @t164 @t165) (=> (or (_ tptp.finite_finite_a (_ tptp.collect_a @t165)) (_ tptp.finite_finite_a (_ tptp.collect_a @t164))) (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t166 (and (_ @t165 @t163) (_ @t164 @t163)))))))) % 151.30/151.69 (assume @p74 (forall (@list @t168 @t169) (=> (or (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t169)) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t168))) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t170 (and (_ @t169 @t167) (_ @t168 @t167)))))))) % 151.30/151.69 (assume @p75 (forall (@list @t172 @t173) (=> (or (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t173)) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t172))) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t174 (and (_ @t173 @t171) (_ @t172 @t171)))))))) % 151.30/151.69 (assume @p76 (forall (@list @t176 @t177) (=> (or (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t177)) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t176))) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t178 (and (_ @t177 @t175) (_ @t176 @t175)))))))) % 151.30/151.69 (assume @p77 (forall (@list @t180 @t181) (=> (or (_ tptp.finite_finite_pname (_ tptp.collect_pname @t181)) (_ tptp.finite_finite_pname (_ tptp.collect_pname @t180))) (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t182 (and (_ @t181 @t179) (_ @t180 @t179)))))))) % 151.30/151.69 (assume @p78 (forall (@list @t184 @t185) (=> (or (_ tptp.finite_finite_nat (_ tptp.collect_nat @t185)) (_ tptp.finite_finite_nat (_ tptp.collect_nat @t184))) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t186 (and (_ @t185 @t183) (_ @t184 @t183)))))))) % 151.30/151.69 (assume @p79 (forall @t196 (=> @t195 (= @t193 (_ tptp.suc @t190))))) % 151.30/151.69 (assume @p80 (forall @t201 (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t200 (_ @t199 @t197)))))) % 151.30/151.69 (assume @p81 (forall @t205 (= (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda @t204 (_ (_ tptp.ord_less_eq_nat @t203) @t187)))) @t202))) % 151.30/151.69 (assume @p82 (forall @t209 (=> (= (_ tptp.suc @t207) (_ tptp.suc @t206)) @t208))) % 151.30/151.69 (assume @p83 (forall (@list @t211 @t210) (= (= (_ tptp.suc @t211) @t212) (= @t211 @t210)))) % 151.30/151.69 (assume @p84 (forall @t205 (not (= @t202 @t187)))) % 151.30/151.69 (assume @p85 (forall @t205 (not (= @t187 @t202)))) % 151.30/151.69 (assume @p86 (forall @t216 (=> @t215 (=> @t195 @t213)))) % 151.30/151.69 (assume @p87 (forall @t222 (=> @t221 (=> (_ @t220 @t197) (_ @t218 @t197))))) % 151.30/151.69 (assume @p88 (forall @t216 (=> @t213 @t215))) % 151.30/151.69 (assume @p89 (forall @t216 (or @t215 @t195))) % 151.30/151.69 (assume @p90 (forall @t205 (_ @t194 @t187))) % 151.30/151.69 (assume @p91 (forall @t225 (= @t224 (_ (_ tptp.minus_minus_nat (_ @t223 @t197)) @t219)))) % 151.30/151.69 (assume @p92 (forall (@list @t227 @t226) (= (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t166 (or (_ @t227 @t163) (_ @t226 @t163))))) (and (_ tptp.finite_finite_a (_ tptp.collect_a @t227)) (_ tptp.finite_finite_a (_ tptp.collect_a @t226)))))) % 151.30/151.69 (assume @p93 (forall (@list @t229 @t228) (= (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t170 (or (_ @t229 @t167) (_ @t228 @t167))))) (and (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t229)) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t228)))))) % 151.30/151.69 (assume @p94 (forall (@list @t231 @t230) (= (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t174 (or (_ @t231 @t171) (_ @t230 @t171))))) (and (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t231)) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t230)))))) % 151.30/151.69 (assume @p95 (forall (@list @t233 @t232) (= (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t178 (or (_ @t233 @t175) (_ @t232 @t175))))) (and (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t233)) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t232)))))) % 151.30/151.69 (assume @p96 (forall (@list @t235 @t234) (= (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t182 (or (_ @t235 @t179) (_ @t234 @t179))))) (and (_ tptp.finite_finite_pname (_ tptp.collect_pname @t235)) (_ tptp.finite_finite_pname (_ tptp.collect_pname @t234)))))) % 151.30/151.69 (assume @p97 (forall (@list @t237 @t236) (= (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t186 (or (_ @t237 @t183) (_ @t236 @t183))))) (and (_ tptp.finite_finite_nat (_ tptp.collect_nat @t237)) (_ tptp.finite_finite_nat (_ tptp.collect_nat @t236)))))) % 151.30/151.69 (assume @p98 (forall (@list @t239 @t238) (= (_ tptp.finite_finite_nat_o (_ (_ tptp.insert_nat_o @t239) @t238)) (_ tptp.finite_finite_nat_o @t238)))) % 151.30/151.69 (assume @p99 (forall (@list @t241 @t240) (= (_ tptp.finite297249702name_o (_ (_ tptp.insert_pname_o @t241) @t240)) (_ tptp.finite297249702name_o @t240)))) % 151.30/151.69 (assume @p100 (forall (@list @t243 @t242) (= (_ tptp.finite_finite_a_o (_ (_ tptp.insert_a_o @t243) @t242)) (_ tptp.finite_finite_a_o @t242)))) % 151.30/151.69 (assume @p101 (forall (@list @t245 @t244) (= (_ tptp.finite_finite_pname (_ (_ tptp.insert_pname @t245) @t244)) (_ tptp.finite_finite_pname @t244)))) % 151.30/151.69 (assume @p102 (forall (@list @t247 @t246) (= (_ tptp.finite_finite_nat (_ (_ tptp.insert_nat @t247) @t246)) (_ tptp.finite_finite_nat @t246)))) % 151.30/151.69 (assume @p103 (forall (@list @t249 @t248) (= (_ tptp.finite_finite_a (_ (_ tptp.insert_a @t249) @t248)) (_ tptp.finite_finite_a @t248)))) % 151.30/151.69 (assume @p104 (forall (@list @t250 @t251) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t250) @t251) (=> (_ tptp.finite_finite_nat_o @t251) (_ tptp.finite_finite_nat_o @t250))))) % 151.30/151.69 (assume @p105 (forall (@list @t252 @t253) (=> (_ (_ tptp.ord_le1205211808me_o_o @t252) @t253) (=> (_ tptp.finite297249702name_o @t253) (_ tptp.finite297249702name_o @t252))))) % 151.30/151.69 (assume @p106 (forall (@list @t254 @t255) (=> (_ (_ tptp.ord_less_eq_a_o_o @t254) @t255) (=> (_ tptp.finite_finite_a_o @t255) (_ tptp.finite_finite_a_o @t254))))) % 151.30/151.69 (assume @p107 (forall (@list @t256 @t257) (=> (_ (_ tptp.ord_less_eq_a_o @t256) @t257) (=> (_ tptp.finite_finite_a @t257) (_ tptp.finite_finite_a @t256))))) % 151.30/151.69 (assume @p108 (forall (@list @t258 @t259) (=> (_ (_ tptp.ord_less_eq_pname_o @t258) @t259) (=> (_ tptp.finite_finite_pname @t259) (_ tptp.finite_finite_pname @t258))))) % 151.30/151.69 (assume @p109 (forall (@list @t260 @t261) (=> (_ (_ tptp.ord_less_eq_nat_o @t260) @t261) (=> (_ tptp.finite_finite_nat @t261) (_ tptp.finite_finite_nat @t260))))) % 151.30/151.69 (assume @p110 (forall (@list @t262 @t263) (=> (_ tptp.finite_finite_nat_o @t263) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t262) @t263) (_ tptp.finite_finite_nat_o @t262))))) % 151.30/151.69 (assume @p111 (forall (@list @t264 @t265) (=> (_ tptp.finite297249702name_o @t265) (=> (_ (_ tptp.ord_le1205211808me_o_o @t264) @t265) (_ tptp.finite297249702name_o @t264))))) % 151.30/151.69 (assume @p112 (forall (@list @t266 @t267) (=> (_ tptp.finite_finite_a_o @t267) (=> (_ (_ tptp.ord_less_eq_a_o_o @t266) @t267) (_ tptp.finite_finite_a_o @t266))))) % 151.30/151.69 (assume @p113 (forall (@list @t268 @t269) (=> (_ tptp.finite_finite_a @t269) (=> (_ (_ tptp.ord_less_eq_a_o @t268) @t269) (_ tptp.finite_finite_a @t268))))) % 151.30/151.69 (assume @p114 (forall (@list @t270 @t271) (=> (_ tptp.finite_finite_pname @t271) (=> (_ (_ tptp.ord_less_eq_pname_o @t270) @t271) (_ tptp.finite_finite_pname @t270))))) % 151.30/151.69 (assume @p115 (forall (@list @t272 @t273) (=> (_ tptp.finite_finite_nat @t273) (=> (_ (_ tptp.ord_less_eq_nat_o @t272) @t273) (_ tptp.finite_finite_nat @t272))))) % 151.30/151.69 (assume @p116 (forall @t216 (=> @t274 @t215))) % 151.30/151.69 (assume @p117 (forall @t216 (=> @t277 (=> @t276 @t275)))) % 151.30/151.69 (assume @p118 (forall @t216 (=> @t215 @t277))) % 151.30/151.69 (assume @p119 (forall @t196 (= (_ @t278 @t191) @t195))) % 151.30/151.69 (assume @p120 (forall @t216 (= @t277 (or @t215 @t275)))) % 151.30/151.69 (assume @p121 (forall @t216 (= @t276 @t279))) % 151.30/151.69 (assume @p122 (forall @t205 (not (_ @t278 @t187)))) % 151.30/151.69 (assume @p123 (forall @t280 (= (_ (_ tptp.minus_minus_nat @t193) (_ tptp.suc @t197)) (_ (_ tptp.minus_minus_nat @t190) @t197)))) % 151.30/151.69 (assume @p124 (forall @t216 (= (_ @t192 @t202) @t190))) % 151.30/151.69 (assume @p125 (forall @t287 (=> @t286 (=> @t285 (= (_ (_ tptp.ord_less_eq_nat @t283) @t282) @t215))))) % 151.30/151.69 (assume @p126 (forall @t287 (=> @t286 (=> @t285 (= (_ (_ tptp.minus_minus_nat @t283) @t282) @t190))))) % 151.30/151.69 (assume @p127 (forall @t287 (=> @t286 (=> @t285 (= (= @t283 @t282) @t213))))) % 151.30/151.69 (assume @p128 (forall (@list @t217 @t187) (=> (_ @t218 @t187) (= (_ @t281 (_ @t281 @t217)) @t217)))) % 151.30/151.69 (assume @p129 (forall @t289 (=> @t215 (_ (_ tptp.ord_less_eq_nat (_ @t189 @t288)) (_ @t281 @t288))))) % 151.30/151.69 (assume @p130 (forall @t289 (=> @t215 (_ (_ tptp.ord_less_eq_nat @t292) @t291)))) % 151.30/151.69 (assume @p131 (forall @t216 (_ (_ tptp.ord_less_eq_nat @t190) @t188))) % 151.30/151.69 (assume @p132 (forall (@list @t293 @t296 @t295) (=> @t298 (=> (_ @t297 (_ (_ tptp.image_a_a @t296) @t295)) @t294)))) % 151.30/151.69 (assume @p133 (forall (@list @t293 @t300 @t299) (=> @t301 (=> (_ @t297 (_ (_ tptp.image_nat_o_a @t300) @t299)) @t294)))) % 151.30/151.69 (assume @p134 (forall (@list @t293 @t303 @t302) (=> @t304 (=> (_ @t297 (_ (_ tptp.image_pname_o_a @t303) @t302)) @t294)))) % 151.30/151.69 (assume @p135 (forall (@list @t293 @t306 @t305) (=> @t307 (=> (_ @t297 (_ (_ tptp.image_a_o_a @t306) @t305)) @t294)))) % 151.30/151.69 (assume @p136 (forall (@list @t308 @t311 @t310) (=> @t313 (=> (_ @t312 (_ (_ tptp.image_pname_nat_o @t311) @t310)) @t309)))) % 151.30/151.69 (assume @p137 (forall (@list @t314 @t316 @t310) (=> @t313 (=> (_ @t317 (_ (_ tptp.image_pname_pname_o @t316) @t310)) @t315)))) % 151.30/151.69 (assume @p138 (forall (@list @t318 @t320 @t310) (=> @t313 (=> (_ @t321 (_ (_ tptp.image_pname_a_o @t320) @t310)) @t319)))) % 151.30/151.69 (assume @p139 (forall (@list @t322 @t324 @t310) (=> @t313 (=> (_ @t325 (_ (_ tptp.image_pname_pname @t324) @t310)) @t323)))) % 151.30/151.69 (assume @p140 (forall (@list @t326 @t328 @t310) (=> @t313 (=> (_ @t329 (_ (_ tptp.image_pname_nat @t328) @t310)) @t327)))) % 151.30/151.69 (assume @p141 (forall (@list @t293 @t331 @t330) (=> @t332 (=> (_ @t297 (_ (_ tptp.image_nat_a @t331) @t330)) @t294)))) % 151.30/151.69 (assume @p142 (forall (@list @t308 @t333 @t330) (=> @t332 (=> (_ @t312 (_ (_ tptp.image_nat_nat_o @t333) @t330)) @t309)))) % 151.30/151.69 (assume @p143 (forall (@list @t314 @t334 @t330) (=> @t332 (=> (_ @t317 (_ (_ tptp.image_nat_pname_o @t334) @t330)) @t315)))) % 151.30/151.69 (assume @p144 (forall (@list @t318 @t335 @t330) (=> @t332 (=> (_ @t321 (_ (_ tptp.image_nat_a_o @t335) @t330)) @t319)))) % 151.30/151.69 (assume @p145 (forall (@list @t322 @t336 @t330) (=> @t332 (=> (_ @t325 (_ (_ tptp.image_nat_pname @t336) @t330)) @t323)))) % 151.30/151.69 (assume @p146 (forall (@list @t326 @t337 @t330) (=> @t332 (=> (_ @t329 (_ (_ tptp.image_nat_nat @t337) @t330)) @t327)))) % 151.30/151.69 (assume @p147 (forall (@list @t322 @t338 @t295) (=> @t298 (=> (_ @t325 (_ (_ tptp.image_a_pname @t338) @t295)) @t323)))) % 151.30/151.69 (assume @p148 (forall (@list @t322 @t339 @t299) (=> @t301 (=> (_ @t325 (_ (_ tptp.image_nat_o_pname @t339) @t299)) @t323)))) % 151.30/151.69 (assume @p149 (forall (@list @t322 @t340 @t302) (=> @t304 (=> (_ @t325 (_ (_ tptp.image_pname_o_pname @t340) @t302)) @t323)))) % 151.30/151.69 (assume @p150 (forall (@list @t322 @t341 @t305) (=> @t307 (=> (_ @t325 (_ (_ tptp.image_a_o_pname @t341) @t305)) @t323)))) % 151.30/151.69 (assume @p151 (forall (@list @t326 @t342 @t295) (=> @t298 (=> (_ @t329 (_ (_ tptp.image_a_nat @t342) @t295)) @t327)))) % 151.30/151.69 (assume @p152 (forall (@list @t326 @t343 @t299) (=> @t301 (=> (_ @t329 (_ (_ tptp.image_nat_o_nat @t343) @t299)) @t327)))) % 151.30/151.69 (assume @p153 (forall (@list @t326 @t344 @t302) (=> @t304 (=> (_ @t329 (_ (_ tptp.image_pname_o_nat @t344) @t302)) @t327)))) % 151.30/151.69 (assume @p154 (forall (@list @t326 @t345 @t305) (=> @t307 (=> (_ @t329 (_ (_ tptp.image_a_o_nat @t345) @t305)) @t327)))) % 151.30/151.69 (assume @p155 (forall (@list @t293 @t346 @t310) (=> @t313 (=> (_ @t297 (_ (_ tptp.image_pname_a @t346) @t310)) @t294)))) % 151.30/151.69 (assume @p156 (forall (@list @t348 @t352 @t350) (=> @t356 (=> (_ @t355 (_ @t349 @t352)) (exists @t354 (and @t353 @t351 (= @t350 (_ @t349 @t347)))))))) % 151.30/151.69 (assume @p157 (forall (@list @t358 @t361 @t350) (=> @t356 (=> (_ @t355 (_ @t359 @t361)) (exists @t363 (and @t362 @t360 (= @t350 (_ @t359 @t357)))))))) % 151.30/151.69 (assume @p158 (forall (@list @t365 @t368 @t350) (=> @t356 (=> (_ @t355 (_ @t366 @t368)) (exists @t370 (and @t369 @t367 (= @t350 (_ @t366 @t364)))))))) % 151.30/151.69 (assume @p159 (forall (@list @t372 @t375 @t350) (=> @t356 (=> (_ @t355 (_ @t373 @t375)) (exists @t377 (and @t376 @t374 (= @t350 (_ @t373 @t371)))))))) % 151.30/151.69 (assume @p160 (forall (@list @t378 @t375 @t380) (=> @t382 (=> (_ @t381 (_ @t379 @t375)) (exists @t377 (and @t376 @t374 (= @t380 (_ @t379 @t371)))))))) % 151.30/151.69 (assume @p161 (forall (@list @t383 @t375 @t385) (=> @t387 (=> (_ @t386 (_ @t384 @t375)) (exists @t377 (and @t376 @t374 (= @t385 (_ @t384 @t371)))))))) % 151.30/151.69 (assume @p162 (forall (@list @t388 @t375 @t390) (=> @t392 (=> (_ @t391 (_ @t389 @t375)) (exists @t377 (and @t376 @t374 (= @t390 (_ @t389 @t371)))))))) % 151.30/151.69 (assume @p163 (forall (@list @t393 @t375 @t395) (=> @t397 (=> (_ @t396 (_ @t394 @t375)) (exists @t377 (and @t376 @t374 (= @t395 (_ @t394 @t371)))))))) % 151.30/151.69 (assume @p164 (forall (@list @t398 @t352 @t395) (=> @t397 (=> (_ @t396 (_ @t399 @t352)) (exists @t354 (and @t353 @t351 (= @t395 (_ @t399 @t347)))))))) % 151.30/151.69 (assume @p165 (forall (@list @t400 @t361 @t395) (=> @t397 (=> (_ @t396 (_ @t401 @t361)) (exists @t363 (and @t362 @t360 (= @t395 (_ @t401 @t357)))))))) % 151.30/151.69 (assume @p166 (forall (@list @t402 @t368 @t395) (=> @t397 (=> (_ @t396 (_ @t403 @t368)) (exists @t370 (and @t369 @t367 (= @t395 (_ @t403 @t364)))))))) % 151.30/151.69 (assume @p167 (forall (@list @t404 @t375 @t406) (=> @t408 (=> (_ @t407 (_ @t405 @t375)) (exists @t377 (and @t376 @t374 (= @t406 (_ @t405 @t371)))))))) % 151.30/151.69 (assume @p168 (forall (@list @t409 @t352 @t406) (=> @t408 (=> (_ @t407 (_ @t410 @t352)) (exists @t354 (and @t353 @t351 (= @t406 (_ @t410 @t347)))))))) % 151.30/151.69 (assume @p169 (forall (@list @t411 @t361 @t406) (=> @t408 (=> (_ @t407 (_ @t412 @t361)) (exists @t363 (and @t362 @t360 (= @t406 (_ @t412 @t357)))))))) % 151.30/151.69 (assume @p170 (forall (@list @t413 @t368 @t406) (=> @t408 (=> (_ @t407 (_ @t414 @t368)) (exists @t370 (and @t369 @t367 (= @t406 (_ @t414 @t364)))))))) % 151.30/151.69 (assume @p171 (forall (@list @t416 @t419 @t380) (=> @t382 (=> (_ @t381 (_ @t417 @t419)) (exists @t421 (and @t420 @t418 (= @t380 (_ @t417 @t415)))))))) % 151.30/151.69 (assume @p172 (forall (@list @t422 @t419 @t385) (=> @t387 (=> (_ @t386 (_ @t423 @t419)) (exists @t421 (and @t420 @t418 (= @t385 (_ @t423 @t415)))))))) % 151.30/151.69 (assume @p173 (forall (@list @t424 @t419 @t390) (=> @t392 (=> (_ @t391 (_ @t425 @t419)) (exists @t421 (and @t420 @t418 (= @t390 (_ @t425 @t415)))))))) % 151.30/151.69 (assume @p174 (forall (@list @t426 @t419 @t395) (=> @t397 (=> (_ @t396 (_ @t427 @t419)) (exists @t421 (and @t420 @t418 (= @t395 (_ @t427 @t415)))))))) % 151.30/151.69 (assume @p175 (forall (@list @t428 @t419 @t406) (=> @t408 (=> (_ @t407 (_ @t429 @t419)) (exists @t421 (and @t420 @t418 (= @t406 (_ @t429 @t415)))))))) % 151.30/151.69 (assume @p176 (forall (@list @t431 @t434 @t350) (=> @t356 (=> (_ @t355 (_ @t432 @t434)) (exists @t436 (and @t435 @t433 (= @t350 (_ @t432 @t430)))))))) % 151.30/151.69 (assume @p177 (forall (@list @t437 @t434 @t380) (=> @t382 (=> (_ @t381 (_ @t438 @t434)) (exists @t436 (and @t435 @t433 (= @t380 (_ @t438 @t430)))))))) % 151.30/151.69 (assume @p178 (forall (@list @t439 @t434 @t385) (=> @t387 (=> (_ @t386 (_ @t440 @t434)) (exists @t436 (and @t435 @t433 (= @t385 (_ @t440 @t430)))))))) % 151.30/151.69 (assume @p179 (forall (@list @t441 @t434 @t390) (=> @t392 (=> (_ @t391 (_ @t442 @t434)) (exists @t436 (and @t435 @t433 (= @t390 (_ @t442 @t430)))))))) % 151.30/151.69 (assume @p180 (forall (@list @t443 @t434 @t395) (=> @t397 (=> (_ @t396 (_ @t444 @t434)) (exists @t436 (and @t435 @t433 (= @t395 (_ @t444 @t430)))))))) % 151.30/151.69 (assume @p181 (forall (@list @t445 @t434 @t406) (=> @t408 (=> (_ @t407 (_ @t446 @t434)) (exists @t436 (and @t435 @t433 (= @t406 (_ @t446 @t430)))))))) % 151.30/151.69 (assume @p182 (forall (@list @t447 @t419 @t350) (=> @t356 (=> (_ @t355 (_ @t448 @t419)) (exists @t421 (and @t420 @t418 (= @t350 (_ @t448 @t415)))))))) % 151.30/151.69 (assume @p183 (forall (@list @t451 @t449 @t450) (=> (forall @t200 (_ (_ tptp.ord_less_eq_o (_ @t450 @t198)) (_ @t450 @t453))) (=> @t452 (_ (_ tptp.ord_less_eq_o (_ @t450 @t451)) (_ @t450 @t449)))))) % 151.30/151.69 (assume @p184 (forall (@list @t451 @t449 @t454) (=> (forall @t200 (_ (_ tptp.ord_less_eq_pname_o (_ @t454 @t198)) (_ @t454 @t453))) (=> @t452 (_ (_ tptp.ord_less_eq_pname_o (_ @t454 @t451)) (_ @t454 @t449)))))) % 151.30/151.69 (assume @p185 (forall (@list @t451 @t449 @t455) (=> (forall @t200 (_ (_ tptp.ord_less_eq_nat_o (_ @t455 @t198)) (_ @t455 @t453))) (=> @t452 (_ (_ tptp.ord_less_eq_nat_o (_ @t455 @t451)) (_ @t455 @t449)))))) % 151.30/151.69 (assume @p186 (forall (@list @t451 @t449 @t456) (=> (forall @t200 (_ (_ tptp.ord_less_eq_a_o (_ @t456 @t198)) (_ @t456 @t453))) (=> @t452 (_ (_ tptp.ord_less_eq_a_o (_ @t456 @t451)) (_ @t456 @t449)))))) % 151.30/151.69 (assume @p187 (forall (@list @t451 @t449 @t457) (=> (forall @t200 (_ (_ tptp.ord_less_eq_nat (_ @t457 @t198)) (_ @t457 @t453))) (=> @t452 (_ (_ tptp.ord_less_eq_nat (_ @t457 @t451)) (_ @t457 @t449)))))) % 151.30/151.69 (assume @p188 (forall (@list @t458 @t460) (=> @t466 (=> (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_pname @t458) @t460)) (exists @t186 (and @t465 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t463 (and @t462 (= (_ @t458 @t459) (_ @t458 @t183))))))))))))) % 151.30/151.69 (assume @p189 (forall (@list @t467 @t469) (=> @t475 (=> (_ tptp.finite_finite_pname (_ (_ tptp.image_a_pname @t467) @t469)) (exists @t166 (and @t474 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t472 (and @t471 (= (_ @t467 @t468) (_ @t467 @t163))))))))))))) % 151.30/151.69 (assume @p190 (forall (@list @t476 @t478) (=> @t484 (=> (_ tptp.finite_finite_pname (_ (_ tptp.image_pname_pname @t476) @t478)) (exists @t182 (and @t483 (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t481 (and @t480 (= (_ @t476 @t477) (_ @t476 @t179))))))))))))) % 151.30/151.69 (assume @p191 (forall (@list @t485 @t487) (=> @t493 (=> (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_o_pname @t485) @t487)) (exists @t170 (and @t492 (not (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t490 (and @t489 (= (_ @t485 @t486) (_ @t485 @t167))))))))))))) % 151.30/151.69 (assume @p192 (forall (@list @t494 @t496) (=> @t502 (=> (_ tptp.finite_finite_pname (_ (_ tptp.image_pname_o_pname @t494) @t496)) (exists @t174 (and @t501 (not (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t499 (and @t498 (= (_ @t494 @t495) (_ @t494 @t171))))))))))))) % 151.30/151.69 (assume @p193 (forall (@list @t503 @t505) (=> @t511 (=> (_ tptp.finite_finite_pname (_ (_ tptp.image_a_o_pname @t503) @t505)) (exists @t178 (and @t510 (not (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t508 (and @t507 (= (_ @t503 @t504) (_ @t503 @t175))))))))))))) % 151.30/151.69 (assume @p194 (forall (@list @t512 @t460) (=> @t466 (=> (_ tptp.finite_finite_nat (_ (_ tptp.image_nat_nat @t512) @t460)) (exists @t186 (and @t465 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t463 (and @t462 (= (_ @t512 @t459) (_ @t512 @t183))))))))))))) % 151.30/151.69 (assume @p195 (forall (@list @t513 @t469) (=> @t475 (=> (_ tptp.finite_finite_nat (_ (_ tptp.image_a_nat @t513) @t469)) (exists @t166 (and @t474 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t472 (and @t471 (= (_ @t513 @t468) (_ @t513 @t163))))))))))))) % 151.30/151.69 (assume @p196 (forall (@list @t514 @t478) (=> @t484 (=> (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_nat @t514) @t478)) (exists @t182 (and @t483 (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t481 (and @t480 (= (_ @t514 @t477) (_ @t514 @t179))))))))))))) % 151.30/151.69 (assume @p197 (forall (@list @t515 @t487) (=> @t493 (=> (_ tptp.finite_finite_nat (_ (_ tptp.image_nat_o_nat @t515) @t487)) (exists @t170 (and @t492 (not (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t490 (and @t489 (= (_ @t515 @t486) (_ @t515 @t167))))))))))))) % 151.30/151.69 (assume @p198 (forall (@list @t516 @t496) (=> @t502 (=> (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_o_nat @t516) @t496)) (exists @t174 (and @t501 (not (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t499 (and @t498 (= (_ @t516 @t495) (_ @t516 @t171))))))))))))) % 151.30/151.69 (assume @p199 (forall (@list @t517 @t505) (=> @t511 (=> (_ tptp.finite_finite_nat (_ (_ tptp.image_a_o_nat @t517) @t505)) (exists @t178 (and @t510 (not (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t508 (and @t507 (= (_ @t517 @t504) (_ @t517 @t175))))))))))))) % 151.30/151.69 (assume @p200 (forall (@list @t518 @t460) (=> @t466 (=> (_ tptp.finite_finite_a (_ (_ tptp.image_nat_a @t518) @t460)) (exists @t186 (and @t465 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t463 (and @t462 (= (_ @t518 @t459) (_ @t518 @t183))))))))))))) % 151.30/151.69 (assume @p201 (forall (@list @t519 @t460) (=> @t466 (=> (_ tptp.finite_finite_nat_o (_ (_ tptp.image_nat_nat_o @t519) @t460)) (exists @t186 (and @t465 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t463 (and @t462 (= (_ @t519 @t459) (_ @t519 @t183))))))))))))) % 151.30/151.69 (assume @p202 (forall (@list @t520 @t460) (=> @t466 (=> (_ tptp.finite297249702name_o (_ (_ tptp.image_nat_pname_o @t520) @t460)) (exists @t186 (and @t465 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t463 (and @t462 (= (_ @t520 @t459) (_ @t520 @t183))))))))))))) % 151.30/151.69 (assume @p203 (forall (@list @t521 @t460) (=> @t466 (=> (_ tptp.finite_finite_a_o (_ (_ tptp.image_nat_a_o @t521) @t460)) (exists @t186 (and @t465 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t463 (and @t462 (= (_ @t521 @t459) (_ @t521 @t183))))))))))))) % 151.30/151.69 (assume @p204 (forall (@list @t522 @t478) (=> @t484 (=> (_ tptp.finite_finite_nat_o (_ (_ tptp.image_pname_nat_o @t522) @t478)) (exists @t182 (and @t483 (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t481 (and @t480 (= (_ @t522 @t477) (_ @t522 @t179))))))))))))) % 151.30/151.69 (assume @p205 (forall (@list @t523 @t478) (=> @t484 (=> (_ tptp.finite297249702name_o (_ (_ tptp.image_pname_pname_o @t523) @t478)) (exists @t182 (and @t483 (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t481 (and @t480 (= (_ @t523 @t477) (_ @t523 @t179))))))))))))) % 151.30/151.69 (assume @p206 (forall (@list @t524 @t478) (=> @t484 (=> (_ tptp.finite_finite_a_o (_ (_ tptp.image_pname_a_o @t524) @t478)) (exists @t182 (and @t483 (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t481 (and @t480 (= (_ @t524 @t477) (_ @t524 @t179))))))))))))) % 151.30/151.69 (assume @p207 (forall (@list @t525 @t469) (=> @t475 (=> (_ tptp.finite_finite_a (_ (_ tptp.image_a_a @t525) @t469)) (exists @t166 (and @t474 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t472 (and @t471 (= (_ @t525 @t468) (_ @t525 @t163))))))))))))) % 151.30/151.69 (assume @p208 (forall (@list @t526 @t469) (=> @t475 (=> (_ tptp.finite_finite_nat_o (_ (_ tptp.image_a_nat_o @t526) @t469)) (exists @t166 (and @t474 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t472 (and @t471 (= (_ @t526 @t468) (_ @t526 @t163))))))))))))) % 151.30/151.69 (assume @p209 (forall (@list @t527 @t469) (=> @t475 (=> (_ tptp.finite297249702name_o (_ (_ tptp.image_a_pname_o @t527) @t469)) (exists @t166 (and @t474 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t472 (and @t471 (= (_ @t527 @t468) (_ @t527 @t163))))))))))))) % 151.30/151.69 (assume @p210 (forall (@list @t528 @t469) (=> @t475 (=> (_ tptp.finite_finite_a_o (_ (_ tptp.image_a_a_o @t528) @t469)) (exists @t166 (and @t474 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t472 (and @t471 (= (_ @t528 @t468) (_ @t528 @t163))))))))))))) % 151.30/151.69 (assume @p211 (forall (@list @t529 @t478) (=> @t484 (=> (_ tptp.finite_finite_a (_ (_ tptp.image_pname_a @t529) @t478)) (exists @t182 (and @t483 (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t481 (and @t480 (= (_ @t529 @t477) (_ @t529 @t179))))))))))))) % 151.30/151.69 (assume @p212 (forall (@list @t530 @t532 @t531 @t534) (=> (= @t532 (_ @t531 @t534)) (=> @t535 (_ @t533 (_ (_ tptp.image_pname_nat @t531) @t530)))))) % 151.30/151.69 (assume @p213 (forall (@list @t536 @t532 @t537 @t538) (=> (= @t532 (_ @t537 @t538)) (=> (_ (_ tptp.member_a @t538) @t536) (_ @t533 (_ (_ tptp.image_a_nat @t537) @t536)))))) % 151.30/151.69 (assume @p214 (forall (@list @t539 @t541 @t540 @t542) (=> (= @t541 (_ @t540 @t542)) (=> @t543 (_ (_ tptp.member_pname @t541) (_ (_ tptp.image_nat_pname @t540) @t539)))))) % 151.30/151.69 (assume @p215 (forall (@list @t539 @t545 @t544 @t542) (=> (= @t545 (_ @t544 @t542)) (=> @t543 (_ @t546 (_ (_ tptp.image_nat_a @t544) @t539)))))) % 151.30/151.69 (assume @p216 @t554) % 151.30/151.69 (assume @p217 (forall (@list @t556 @t555) (=> (_ (_ tptp.ord_less_eq_pname_o @t556) @t555) (=> (_ (_ tptp.ord_less_eq_pname_o @t555) @t556) (= @t556 @t555))))) % 151.30/151.69 (assume @p218 (forall (@list @t558 @t557) (=> (_ (_ tptp.ord_less_eq_nat_o @t558) @t557) (=> (_ (_ tptp.ord_less_eq_nat_o @t557) @t558) (= @t558 @t557))))) % 151.30/151.69 (assume @p219 (forall (@list @t560 @t559) (=> (_ (_ tptp.ord_less_eq_a_o @t560) @t559) (=> (_ (_ tptp.ord_less_eq_a_o @t559) @t560) (= @t560 @t559))))) % 151.30/151.69 (assume @p220 (forall (@list @t562 @t564 @t561) (=> (_ (_ tptp.ord_less_eq_nat_o @t564) @t561) (=> (_ @t563 @t564) (_ @t563 @t561))))) % 151.30/151.69 (assume @p221 (forall (@list @t566 @t568 @t565) (=> (_ (_ tptp.ord_less_eq_pname_o @t568) @t565) (=> (_ @t567 @t568) (_ @t567 @t565))))) % 151.30/151.69 (assume @p222 (forall (@list @t570 @t572 @t569) (=> (_ (_ tptp.ord_less_eq_a_o @t572) @t569) (=> (_ @t571 @t572) (_ @t571 @t569))))) % 151.30/151.69 (assume @p223 (forall (@list @t574 @t575 @t573) (=> (=> (not (_ @t576 @t573)) (= @t575 @t574)) (_ @t576 (_ (_ tptp.insert_nat @t574) @t573))))) % 151.30/151.69 (assume @p224 (forall (@list @t578 @t579 @t577) (=> (=> (not (_ @t580 @t577)) (= @t579 @t578)) (_ @t580 (_ (_ tptp.insert_pname @t578) @t577))))) % 151.30/151.69 (assume @p225 (forall (@list @t582 @t583 @t581) (=> (=> (not (_ @t584 @t581)) (= @t583 @t582)) (_ @t584 (_ (_ tptp.insert_a @t582) @t581))))) % 151.30/151.69 (assume @p226 (forall (@list @t586 @t588 @t585) (=> (_ @t587 (_ (_ tptp.insert_nat @t588) @t585)) (=> (not (= @t586 @t588)) (_ @t587 @t585))))) % 151.30/151.69 (assume @p227 (forall (@list @t590 @t592 @t589) (=> (_ @t591 (_ (_ tptp.insert_pname @t592) @t589)) (=> (not (= @t590 @t592)) (_ @t591 @t589))))) % 151.30/151.69 (assume @p228 (forall (@list @t594 @t596 @t593) (=> (_ @t595 (_ (_ tptp.insert_a @t596) @t593)) (=> (not (= @t594 @t596)) (_ @t595 @t593))))) % 151.30/151.69 (assume @p229 (forall (@list @t217 @t597 @t197) (=> (_ @t597 @t197) (=> (forall @t200 (=> (_ @t597 @t453) (_ @t597 @t198))) (_ @t597 (_ (_ tptp.minus_minus_nat @t197) @t217)))))) % 151.30/151.69 (assume @p230 (forall (@list @t187 @t599) (=> (_ @t278 @t599) (exists @t600 (= @t599 (_ tptp.suc @t598)))))) % 151.30/151.69 (assume @p231 (forall (@list @t602 @t601) (_ (_ tptp.member_nat @t602) (_ (_ tptp.insert_nat @t602) @t601)))) % 151.30/151.69 (assume @p232 (forall (@list @t604 @t603) (_ (_ tptp.member_pname @t604) (_ (_ tptp.insert_pname @t604) @t603)))) % 151.30/151.69 (assume @p233 (forall (@list @t606 @t605) (_ (_ tptp.member_a @t606) (_ (_ tptp.insert_a @t606) @t605)))) % 151.30/151.69 (assume @p234 (forall (@list @t608 @t607) (= (_ (_ tptp.insert_nat_o @t608) @t607) (_ tptp.collect_nat_o (lambda @t170 (or (= @t167 @t608) (_ @t491 @t607))))))) % 151.30/151.69 (assume @p235 (forall (@list @t610 @t609) (= (_ (_ tptp.insert_pname_o @t610) @t609) (_ tptp.collect_pname_o (lambda @t174 (or (= @t171 @t610) (_ @t500 @t609))))))) % 151.30/151.69 (assume @p236 (forall (@list @t612 @t611) (= (_ (_ tptp.insert_a_o @t612) @t611) (_ tptp.collect_a_o (lambda @t178 (or (= @t175 @t612) (_ @t509 @t611))))))) % 151.30/151.69 (assume @p237 (forall (@list @t614 @t613) (= (_ (_ tptp.insert_nat @t614) @t613) (_ tptp.collect_nat (lambda @t186 (or (= @t183 @t614) (_ @t464 @t613))))))) % 151.30/151.69 (assume @p238 (forall (@list @t616 @t615) (= (_ (_ tptp.insert_pname @t616) @t615) (_ tptp.collect_pname (lambda @t182 (or (= @t179 @t616) (_ @t482 @t615))))))) % 151.30/151.69 (assume @p239 (forall (@list @t618 @t617) (= (_ (_ tptp.insert_a @t618) @t617) (_ tptp.collect_a (lambda @t166 (or (= @t163 @t618) (_ @t473 @t617))))))) % 151.30/151.69 (assume @p240 (forall (@list @t621 @t620) (= (_ (_ tptp.insert_pname @t621) (_ tptp.collect_pname @t620)) (_ tptp.collect_pname (lambda (@list @t619) (=> (not (= @t619 @t621)) (_ @t620 @t619))))))) % 151.30/151.69 (assume @p241 (forall (@list @t624 @t623) (= (_ (_ tptp.insert_nat_o @t624) (_ tptp.collect_nat_o @t623)) (_ tptp.collect_nat_o (lambda (@list @t622) (=> (not (= @t622 @t624)) (_ @t623 @t622))))))) % 151.30/151.69 (assume @p242 (forall (@list @t627 @t626) (= (_ (_ tptp.insert_pname_o @t627) (_ tptp.collect_pname_o @t626)) (_ tptp.collect_pname_o (lambda (@list @t625) (=> (not (= @t625 @t627)) (_ @t626 @t625))))))) % 151.30/151.69 (assume @p243 (forall (@list @t630 @t629) (= (_ (_ tptp.insert_a_o @t630) (_ tptp.collect_a_o @t629)) (_ tptp.collect_a_o (lambda (@list @t628) (=> (not (= @t628 @t630)) (_ @t629 @t628))))))) % 151.30/151.69 (assume @p244 (forall (@list @t633 @t632) (= (_ (_ tptp.insert_nat @t633) (_ tptp.collect_nat @t632)) (_ tptp.collect_nat (lambda (@list @t631) (=> (not (= @t631 @t633)) (_ @t632 @t631))))))) % 151.30/151.69 (assume @p245 (forall (@list @t636 @t635) (= (_ (_ tptp.insert_a @t636) (_ tptp.collect_a @t635)) (_ tptp.collect_a (lambda (@list @t634) (=> (not (= @t634 @t636)) (_ @t635 @t634))))))) % 151.30/151.69 (assume @p246 (forall (@list @t638 @t637) (= (_ @t639 @t640) @t640))) % 151.30/151.69 (assume @p247 (forall (@list @t642 @t641) (= (_ @t643 @t644) @t644))) % 151.30/151.69 (assume @p248 (forall (@list @t646 @t645) (= (_ @t647 @t648) @t648))) % 151.30/151.69 (assume @p249 (forall (@list @t650 @t652 @t649) (= (_ @t651 (_ @t653 @t649)) (_ @t653 (_ @t651 @t649))))) % 151.30/151.69 (assume @p250 (forall (@list @t655 @t657 @t654) (= (_ @t656 (_ @t658 @t654)) (_ @t658 (_ @t656 @t654))))) % 151.30/151.69 (assume @p251 (forall (@list @t660 @t662 @t659) (= (_ @t661 (_ @t663 @t659)) (_ @t663 (_ @t661 @t659))))) % 151.30/151.69 (assume @p252 (forall (@list @t665 @t667 @t664) (= (_ @t666 (_ (_ tptp.insert_nat @t667) @t664)) (or (= @t665 @t667) (_ @t666 @t664))))) % 151.30/151.69 (assume @p253 (forall (@list @t669 @t671 @t668) (= (_ @t670 (_ (_ tptp.insert_pname @t671) @t668)) (or (= @t669 @t671) (_ @t670 @t668))))) % 151.30/151.69 (assume @p254 (forall (@list @t673 @t675 @t672) (= (_ @t674 (_ (_ tptp.insert_a @t675) @t672)) (or (= @t673 @t675) (_ @t674 @t672))))) % 151.30/151.69 (assume @p255 (forall (@list @t678 @t677 @t676) (= (_ (_ (_ tptp.insert_pname @t678) @t677) @t676) (or (= @t678 @t676) (_ @t677 @t676))))) % 151.30/151.69 (assume @p256 (forall (@list @t681 @t680 @t679) (= (_ (_ (_ tptp.insert_nat @t681) @t680) @t679) (or (= @t681 @t679) (_ @t680 @t679))))) % 151.30/151.69 (assume @p257 (forall (@list @t684 @t683 @t682) (= (_ (_ (_ tptp.insert_a @t684) @t683) @t682) (or (= @t684 @t682) (_ @t683 @t682))))) % 151.30/151.69 (assume @p258 (forall (@list @t685 @t687 @t686) (=> (not (_ @t689 @t686)) (=> (not (_ @t689 @t685)) (= (= (_ @t688 @t686) (_ @t688 @t685)) (= @t686 @t685)))))) % 151.30/151.69 (assume @p259 (forall (@list @t690 @t692 @t691) (=> (not (_ @t694 @t691)) (=> (not (_ @t694 @t690)) (= (= (_ @t693 @t691) (_ @t693 @t690)) (= @t691 @t690)))))) % 151.30/151.69 (assume @p260 (forall (@list @t695 @t697 @t696) (=> (not (_ @t699 @t696)) (=> (not (_ @t699 @t695)) (= (= (_ @t698 @t696) (_ @t698 @t695)) (= @t696 @t695)))))) % 151.30/151.69 (assume @p261 (forall (@list @t701 @t702 @t700) (=> (_ @t703 @t700) (_ @t703 (_ (_ tptp.insert_nat @t701) @t700))))) % 151.30/151.69 (assume @p262 (forall (@list @t705 @t706 @t704) (=> (_ @t707 @t704) (_ @t707 (_ (_ tptp.insert_pname @t705) @t704))))) % 151.30/151.70 (assume @p263 (forall (@list @t709 @t710 @t708) (=> (_ @t711 @t708) (_ @t711 (_ (_ tptp.insert_a @t709) @t708))))) % 151.30/151.70 (assume @p264 (forall (@list @t713 @t712) (=> (_ (_ tptp.member_nat @t713) @t712) (= (_ (_ tptp.insert_nat @t713) @t712) @t712)))) % 151.30/151.70 (assume @p265 (forall (@list @t715 @t714) (=> (_ (_ tptp.member_pname @t715) @t714) (= (_ (_ tptp.insert_pname @t715) @t714) @t714)))) % 151.30/151.70 (assume @p266 (forall (@list @t717 @t716) (=> (_ (_ tptp.member_a @t717) @t716) (= (_ (_ tptp.insert_a @t717) @t716) @t716)))) % 151.30/151.70 (assume @p267 (forall (@list @t718) (_ (_ tptp.ord_less_eq_pname_o @t718) @t718))) % 151.30/151.70 (assume @p268 (forall (@list @t719) (_ (_ tptp.ord_less_eq_nat_o @t719) @t719))) % 151.30/151.70 (assume @p269 (forall (@list @t720) (_ (_ tptp.ord_less_eq_a_o @t720) @t720))) % 151.30/151.70 (assume @p270 (forall (@list @t721 @t722) (= (= @t721 @t722) (and (_ (_ tptp.ord_less_eq_pname_o @t721) @t722) (_ (_ tptp.ord_less_eq_pname_o @t722) @t721))))) % 151.30/151.70 (assume @p271 (forall (@list @t723 @t724) (= (= @t723 @t724) (and (_ (_ tptp.ord_less_eq_nat_o @t723) @t724) (_ (_ tptp.ord_less_eq_nat_o @t724) @t723))))) % 151.30/151.70 (assume @p272 (forall (@list @t725 @t726) (= (= @t725 @t726) (and (_ (_ tptp.ord_less_eq_a_o @t725) @t726) (_ (_ tptp.ord_less_eq_a_o @t726) @t725))))) % 151.30/151.70 (assume @p273 (forall (@list @t728 @t727) (=> (= @t728 @t727) (_ (_ tptp.ord_less_eq_pname_o @t728) @t727)))) % 151.30/151.70 (assume @p274 (forall (@list @t730 @t729) (=> (= @t730 @t729) (_ (_ tptp.ord_less_eq_nat_o @t730) @t729)))) % 151.30/151.70 (assume @p275 (forall (@list @t732 @t731) (=> (= @t732 @t731) (_ (_ tptp.ord_less_eq_a_o @t732) @t731)))) % 151.30/151.70 (assume @p276 (forall (@list @t733 @t734) (=> (= @t733 @t734) (_ (_ tptp.ord_less_eq_pname_o @t734) @t733)))) % 151.30/151.70 (assume @p277 (forall (@list @t735 @t736) (=> (= @t735 @t736) (_ (_ tptp.ord_less_eq_nat_o @t736) @t735)))) % 151.30/151.70 (assume @p278 (forall (@list @t737 @t738) (=> (= @t737 @t738) (_ (_ tptp.ord_less_eq_a_o @t738) @t737)))) % 151.30/151.70 (assume @p279 (forall (@list @t740 @t742 @t739) (=> (_ (_ tptp.ord_less_eq_nat_o @t742) @t739) (=> (_ @t741 @t742) (_ @t741 @t739))))) % 151.30/151.70 (assume @p280 (forall (@list @t744 @t746 @t743) (=> (_ (_ tptp.ord_less_eq_pname_o @t746) @t743) (=> (_ @t745 @t746) (_ @t745 @t743))))) % 151.30/151.70 (assume @p281 (forall (@list @t748 @t750 @t747) (=> (_ (_ tptp.ord_less_eq_a_o @t750) @t747) (=> (_ @t749 @t750) (_ @t749 @t747))))) % 151.30/151.70 (assume @p282 (forall (@list @t751 @t752 @t754) (=> (_ @t753 @t754) (=> (_ (_ tptp.ord_less_eq_nat_o @t754) @t751) (_ @t753 @t751))))) % 151.30/151.70 (assume @p283 (forall (@list @t755 @t756 @t758) (=> (_ @t757 @t758) (=> (_ (_ tptp.ord_less_eq_pname_o @t758) @t755) (_ @t757 @t755))))) % 151.30/151.70 (assume @p284 (forall (@list @t759 @t760 @t762) (=> (_ @t761 @t762) (=> (_ (_ tptp.ord_less_eq_a_o @t762) @t759) (_ @t761 @t759))))) % 151.30/151.70 (assume @p285 (forall (@list @t764 @t766 @t763) (=> (_ (_ tptp.ord_less_eq_nat_o @t766) @t763) (=> (_ @t765 @t766) (_ @t765 @t763))))) % 151.30/151.70 (assume @p286 (forall (@list @t768 @t770 @t767) (=> (_ (_ tptp.ord_less_eq_pname_o @t770) @t767) (=> (_ @t769 @t770) (_ @t769 @t767))))) % 151.30/151.70 (assume @p287 (forall (@list @t772 @t774 @t771) (=> (_ (_ tptp.ord_less_eq_a_o @t774) @t771) (=> (_ @t773 @t774) (_ @t773 @t771))))) % 151.30/151.70 (assume @p288 (forall (@list @t775 @t776) (= (_ (_ tptp.member_nat @t775) @t776) (_ @t776 @t775)))) % 151.30/151.70 (assume @p289 (forall (@list @t777 @t778) (= (_ (_ tptp.member_pname @t777) @t778) (_ @t778 @t777)))) % 151.30/151.70 (assume @p290 (forall (@list @t779 @t780) (= (_ (_ tptp.member_a @t779) @t780) (_ @t780 @t779)))) % 151.30/151.70 (assume @p291 (forall (@list @t781) (= (_ tptp.collect_a @t781) @t781))) % 151.30/151.70 (assume @p292 (forall (@list @t782) (= (_ tptp.collect_pname @t782) @t782))) % 151.30/151.70 (assume @p293 (forall (@list @t783) (= (_ tptp.collect_nat_o @t783) @t783))) % 151.30/151.70 (assume @p294 (forall (@list @t784) (= (_ tptp.collect_pname_o @t784) @t784))) % 151.30/151.70 (assume @p295 (forall (@list @t785) (= (_ tptp.collect_a_o @t785) @t785))) % 151.30/151.70 (assume @p296 (forall (@list @t786) (= (_ tptp.collect_nat @t786) @t786))) % 151.30/151.70 (assume @p297 (forall (@list @t787 @t788 @t790) (=> (_ @t789 @t790) (=> (_ (_ tptp.ord_less_eq_pname_o @t790) @t787) (_ @t789 @t787))))) % 151.30/151.70 (assume @p298 (forall (@list @t791 @t792 @t794) (=> (_ @t793 @t794) (=> (_ (_ tptp.ord_less_eq_nat_o @t794) @t791) (_ @t793 @t791))))) % 151.30/151.70 (assume @p299 (forall (@list @t795 @t796 @t798) (=> (_ @t797 @t798) (=> (_ (_ tptp.ord_less_eq_a_o @t798) @t795) (_ @t797 @t795))))) % 151.30/151.70 (assume @p300 (forall (@list @t799 @t800) (=> (= @t799 @t800) (not (=> (_ (_ tptp.ord_less_eq_pname_o @t799) @t800) (not (_ (_ tptp.ord_less_eq_pname_o @t800) @t799))))))) % 151.30/151.70 (assume @p301 (forall (@list @t801 @t802) (=> (= @t801 @t802) (not (=> (_ (_ tptp.ord_less_eq_nat_o @t801) @t802) (not (_ (_ tptp.ord_less_eq_nat_o @t802) @t801))))))) % 151.30/151.70 (assume @p302 (forall (@list @t803 @t804) (=> (= @t803 @t804) (not (=> (_ (_ tptp.ord_less_eq_a_o @t803) @t804) (not (_ (_ tptp.ord_less_eq_a_o @t804) @t803))))))) % 151.30/151.70 (assume @p303 (forall (@list @t806 @t805 @t807) (= (_ (_ tptp.member_a @t806) (_ (_ tptp.image_pname_a @t805) @t807)) (exists @t182 (and (_ @t482 @t807) (= @t806 (_ @t805 @t179))))))) % 151.30/151.70 (assume @p304 (forall (@list @t809 @t810 @t808) (=> @t811 (_ (_ tptp.member_nat (_ @t809 @t810)) (_ (_ tptp.image_pname_nat @t809) @t808))))) % 151.30/151.70 (assume @p305 (forall (@list @t813 @t814 @t812) (=> (_ (_ tptp.member_a @t814) @t812) (_ (_ tptp.member_nat (_ @t813 @t814)) (_ (_ tptp.image_a_nat @t813) @t812))))) % 151.30/151.70 (assume @p306 (forall (@list @t816 @t817 @t815) (=> @t818 (_ (_ tptp.member_pname (_ @t816 @t817)) (_ (_ tptp.image_nat_pname @t816) @t815))))) % 151.30/151.70 (assume @p307 (forall (@list @t819 @t817 @t815) (=> @t818 (_ (_ tptp.member_a (_ @t819 @t817)) (_ (_ tptp.image_nat_a @t819) @t815))))) % 151.30/151.70 (assume @p308 (forall (@list @t820 @t810 @t808) (=> @t811 (_ (_ tptp.member_a (_ @t820 @t810)) (_ (_ tptp.image_pname_a @t820) @t808))))) % 151.30/151.70 (assume @p309 (forall (@list @t823 @t822 @t825 @t821) (=> @t826 (=> (= @t823 (_ @t822 @t825)) (_ @t824 (_ (_ tptp.image_pname_nat @t822) @t821)))))) % 151.30/151.70 (assume @p310 (forall (@list @t823 @t828 @t829 @t827) (=> (_ (_ tptp.member_a @t829) @t827) (=> (= @t823 (_ @t828 @t829)) (_ @t824 (_ (_ tptp.image_a_nat @t828) @t827)))))) % 151.30/151.70 (assume @p311 (forall (@list @t832 @t831 @t833 @t830) (=> @t834 (=> (= @t832 (_ @t831 @t833)) (_ (_ tptp.member_pname @t832) (_ (_ tptp.image_nat_pname @t831) @t830)))))) % 151.30/151.70 (assume @p312 (forall (@list @t836 @t835 @t833 @t830) (=> @t834 (=> (= @t836 (_ @t835 @t833)) (_ @t837 (_ (_ tptp.image_nat_a @t835) @t830)))))) % 151.30/151.70 (assume @p313 (forall (@list @t836 @t838 @t825 @t821) (=> @t826 (=> (= @t836 (_ @t838 @t825)) (_ @t837 (_ (_ tptp.image_pname_a @t838) @t821)))))) % 151.30/151.70 (assume @p314 (forall (@list @t167 @t839) (= (_ @t841 @t839) (_ tptp.collect_nat_o (lambda (@list @t840) (or (= @t840 @t167) (_ (_ tptp.member_nat_o @t840) @t839))))))) % 151.30/151.70 (assume @p315 (forall (@list @t171 @t842) (= (_ @t844 @t842) (_ tptp.collect_pname_o (lambda (@list @t843) (or (= @t843 @t171) (_ (_ tptp.member_pname_o @t843) @t842))))))) % 151.30/151.70 (assume @p316 (forall (@list @t175 @t845) (= (_ @t847 @t845) (_ tptp.collect_a_o (lambda (@list @t846) (or (= @t846 @t175) (_ (_ tptp.member_a_o @t846) @t845))))))) % 151.30/151.70 (assume @p317 (forall (@list @t183 @t848) (= (_ (_ tptp.insert_nat @t183) @t848) (_ tptp.collect_nat (lambda (@list @t849) (or (= @t849 @t183) (_ (_ tptp.member_nat @t849) @t848))))))) % 151.30/151.70 (assume @p318 (forall (@list @t179 @t850) (= (_ (_ tptp.insert_pname @t179) @t850) (_ tptp.collect_pname (lambda (@list @t851) (or (= @t851 @t179) (_ (_ tptp.member_pname @t851) @t850))))))) % 151.30/151.70 (assume @p319 (forall (@list @t163 @t852) (= (_ (_ tptp.insert_a @t163) @t852) (_ tptp.collect_a (lambda (@list @t853) (or (= @t853 @t163) (_ (_ tptp.member_a @t853) @t852))))))) % 151.30/151.70 (assume @p320 (forall (@list @t854 @t855) (_ (_ tptp.ord_less_eq_pname_o @t854) (_ (_ tptp.insert_pname @t855) @t854)))) % 151.30/151.70 (assume @p321 (forall (@list @t856 @t857) (_ (_ tptp.ord_less_eq_nat_o @t856) (_ (_ tptp.insert_nat @t857) @t856)))) % 151.30/151.70 (assume @p322 (forall (@list @t858 @t859) (_ (_ tptp.ord_less_eq_a_o @t858) (_ (_ tptp.insert_a @t859) @t858)))) % 151.30/151.70 (assume @p323 (forall (@list @t862 @t861 @t860) (= (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.insert_nat @t862) @t861)) @t860) (and (_ (_ tptp.member_nat @t862) @t860) (_ (_ tptp.ord_less_eq_nat_o @t861) @t860))))) % 151.30/151.70 (assume @p324 (forall (@list @t865 @t864 @t863) (= (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.insert_pname @t865) @t864)) @t863) (and (_ (_ tptp.member_pname @t865) @t863) (_ (_ tptp.ord_less_eq_pname_o @t864) @t863))))) % 151.30/151.70 (assume @p325 @t876) % 151.30/151.70 (assume @p326 (forall (@list @t877 @t880 @t878) (=> (not (_ (_ tptp.member_nat @t880) @t878)) (= (_ @t879 (_ (_ tptp.insert_nat @t880) @t877)) (_ @t879 @t877))))) % 151.30/151.70 (assume @p327 (forall (@list @t881 @t884 @t882) (=> (not (_ (_ tptp.member_pname @t884) @t882)) (= (_ @t883 (_ (_ tptp.insert_pname @t884) @t881)) (_ @t883 @t881))))) % 151.30/151.70 (assume @p328 (forall (@list @t885 @t888 @t886) (=> (not (_ (_ tptp.member_a @t888) @t886)) (= (_ @t887 (_ (_ tptp.insert_a @t888) @t885)) (_ @t887 @t885))))) % 151.30/151.70 (assume @p329 (forall (@list @t890 @t891 @t889) (=> (_ @t892 @t889) (_ @t892 (_ (_ tptp.insert_pname @t890) @t889))))) % 151.30/151.70 (assume @p330 (forall (@list @t894 @t895 @t893) (=> (_ @t896 @t893) (_ @t896 (_ (_ tptp.insert_nat @t894) @t893))))) % 151.30/151.70 (assume @p331 (forall (@list @t898 @t899 @t897) (=> (_ @t900 @t897) (_ @t900 (_ (_ tptp.insert_a @t898) @t897))))) % 151.30/151.70 (assume @p332 (forall (@list @t902 @t904 @t901) (=> (_ (_ tptp.ord_less_eq_pname_o @t904) @t901) (_ (_ tptp.ord_less_eq_pname_o (_ @t903 @t904)) (_ @t903 @t901))))) % 151.30/151.70 (assume @p333 (forall (@list @t906 @t908 @t905) (=> (_ (_ tptp.ord_less_eq_nat_o @t908) @t905) (_ (_ tptp.ord_less_eq_nat_o (_ @t907 @t908)) (_ @t907 @t905))))) % 151.30/151.70 (assume @p334 (forall (@list @t910 @t912 @t909) (=> (_ (_ tptp.ord_less_eq_a_o @t912) @t909) (_ (_ tptp.ord_less_eq_a_o (_ @t911 @t912)) (_ @t911 @t909))))) % 151.30/151.70 (assume @p335 (forall (@list @t914 @t916 @t913) (= (_ @t915 @t917) (_ (_ tptp.insert_pname (_ @t914 @t916)) (_ @t915 @t913))))) % 151.30/151.70 (assume @p336 (forall (@list @t918 @t916 @t913) (= (_ @t919 @t917) (_ (_ tptp.insert_nat (_ @t918 @t916)) (_ @t919 @t913))))) % 151.30/151.70 (assume @p337 (forall (@list @t921 @t923 @t920) (= (_ @t922 (_ (_ tptp.insert_nat @t923) @t920)) (_ (_ tptp.insert_a (_ @t921 @t923)) (_ @t922 @t920))))) % 151.30/151.70 (assume @p338 (forall (@list @t925 @t927 @t924) (= (_ @t926 (_ (_ tptp.insert_pname @t927) @t924)) (_ (_ tptp.insert_a (_ @t925 @t927)) (_ @t926 @t924))))) % 151.30/151.70 (assume @p339 (forall (@list @t929 @t931 @t928) (=> @t932 (= (_ (_ tptp.insert_pname (_ @t929 @t931)) @t930) @t930)))) % 151.30/151.70 (assume @p340 (forall (@list @t933 @t931 @t928) (=> @t932 (= (_ (_ tptp.insert_nat (_ @t933 @t931)) @t934) @t934)))) % 151.30/151.70 (assume @p341 (forall (@list @t936 @t938 @t935) (=> @t939 (= (_ (_ tptp.insert_pname (_ @t936 @t938)) @t937) @t937)))) % 151.30/151.70 (assume @p342 (forall (@list @t940 @t938 @t935) (=> @t939 (= (_ (_ tptp.insert_nat (_ @t940 @t938)) @t941) @t941)))) % 151.30/151.70 (assume @p343 (forall (@list @t943 @t945 @t942) (=> (_ (_ tptp.member_nat @t945) @t942) (= (_ (_ tptp.insert_a (_ @t943 @t945)) @t944) @t944)))) % 151.30/151.70 (assume @p344 (forall (@list @t946 @t931 @t928) (=> @t932 (= (_ (_ tptp.insert_a (_ @t946 @t931)) @t947) @t947)))) % 151.30/151.70 (assume @p345 (forall (@list @t951 @t949 @t952) (= (_ @t953 (_ @t950 @t952)) (exists (@list @t948) (and (_ (_ tptp.ord_less_eq_nat_o @t948) @t952) (= @t951 (_ @t950 @t948))))))) % 151.30/151.70 (assume @p346 (forall (@list @t957 @t955 @t958) (= (_ (_ tptp.ord_less_eq_pname_o @t957) (_ @t956 @t958)) (exists @t960 (and @t959 (= @t957 (_ @t956 @t954))))))) % 151.30/151.70 (assume @p347 (forall (@list @t963 @t961 @t958) (= (_ (_ tptp.ord_less_eq_nat_o @t963) (_ @t962 @t958)) (exists @t960 (and @t959 (= @t963 (_ @t962 @t954))))))) % 151.30/151.70 (assume @p348 (forall (@list @t951 @t965 @t967) (= (_ @t953 (_ @t966 @t967)) (exists (@list @t964) (and (_ (_ tptp.ord_less_eq_pname_o @t964) @t967) (= @t951 (_ @t966 @t964))))))) % 151.30/151.70 (assume @p349 (forall (@list @t969 @t971 @t968) (=> @t972 (_ (_ tptp.ord_less_eq_pname_o (_ @t970 @t971)) (_ @t970 @t968))))) % 151.30/151.70 (assume @p350 (forall (@list @t973 @t971 @t968) (=> @t972 (_ (_ tptp.ord_less_eq_nat_o (_ @t974 @t971)) (_ @t974 @t968))))) % 151.30/151.70 (assume @p351 (forall (@list @t976 @t978 @t975) (=> (_ (_ tptp.ord_less_eq_nat_o @t978) @t975) (_ (_ tptp.ord_less_eq_a_o (_ @t977 @t978)) (_ @t977 @t975))))) % 151.30/151.70 (assume @p352 (forall (@list @t980 @t982 @t979) (=> (_ (_ tptp.ord_less_eq_pname_o @t982) @t979) (_ (_ tptp.ord_less_eq_a_o (_ @t981 @t982)) (_ @t981 @t979))))) % 151.30/151.70 (assume @p353 (forall (@list @t986 @t985 @t983) (=> (_ (_ tptp.member_pname @t986) (_ (_ tptp.image_nat_pname @t985) @t983)) (not (forall @t186 (=> (= @t986 (_ @t985 @t183)) @t984)))))) % 151.30/151.70 (assume @p354 (forall (@list @t988 @t987 @t983) (=> (_ @t989 (_ (_ tptp.image_nat_a @t987) @t983)) (not (forall @t186 (=> (= @t988 (_ @t987 @t183)) @t984)))))) % 151.30/151.70 (assume @p355 (forall (@list @t993 @t992 @t990) (=> (_ @t994 (_ (_ tptp.image_pname_nat @t992) @t990)) (not (forall @t182 (=> (= @t993 (_ @t992 @t179)) @t991)))))) % 151.30/151.70 (assume @p356 (forall (@list @t993 @t996 @t995) (=> (_ @t994 (_ (_ tptp.image_a_nat @t996) @t995)) (not (forall @t166 (=> (= @t993 (_ @t996 @t163)) (not (_ @t473 @t995)))))))) % 151.30/151.70 (assume @p357 (forall (@list @t988 @t997 @t990) (=> (_ @t989 (_ (_ tptp.image_pname_a @t997) @t990)) (not (forall @t182 (=> (= @t988 (_ @t997 @t179)) @t991)))))) % 151.30/151.70 (assume @p358 (forall (@list @t998 @t999) (=> (forall @t186 (=> (_ @t464 @t999) (_ @t464 @t998))) (_ (_ tptp.ord_less_eq_nat_o @t999) @t998)))) % 151.30/151.70 (assume @p359 (forall (@list @t1000 @t1001) (=> (forall @t182 (=> (_ @t482 @t1001) (_ @t482 @t1000))) (_ (_ tptp.ord_less_eq_pname_o @t1001) @t1000)))) % 151.30/151.70 (assume @p360 (forall (@list @t1002 @t1003) (=> (forall @t166 (=> (_ @t473 @t1003) (_ @t473 @t1002))) (_ (_ tptp.ord_less_eq_a_o @t1003) @t1002)))) % 151.30/151.70 (assume @p361 (forall (@list @t1006 @t1004 @t1005) (=> (forall @t182 (=> @t1007 (_ (_ tptp.member_nat (_ @t1006 @t179)) @t1004))) (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.image_pname_nat @t1006) @t1005)) @t1004)))) % 151.30/151.70 (assume @p362 (forall (@list @t1009 @t1008 @t1005) (=> (forall @t182 (=> @t1007 (_ (_ tptp.member_pname (_ @t1009 @t179)) @t1008))) (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.image_pname_pname @t1009) @t1005)) @t1008)))) % 151.30/151.70 (assume @p363 (forall (@list @t1011 @t1004 @t1010) (=> (forall @t166 (=> @t1012 (_ (_ tptp.member_nat (_ @t1011 @t163)) @t1004))) (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.image_a_nat @t1011) @t1010)) @t1004)))) % 151.30/151.70 (assume @p364 (forall (@list @t1013 @t1008 @t1010) (=> (forall @t166 (=> @t1012 (_ (_ tptp.member_pname (_ @t1013 @t163)) @t1008))) (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.image_a_pname @t1013) @t1010)) @t1008)))) % 151.30/151.70 (assume @p365 (forall (@list @t1015 @t1008 @t1014) (=> (forall @t186 (=> @t1016 (_ (_ tptp.member_pname (_ @t1015 @t183)) @t1008))) (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.image_nat_pname @t1015) @t1014)) @t1008)))) % 151.30/151.70 (assume @p366 (forall (@list @t1018 @t1017 @t1014) (=> (forall @t186 (=> @t1016 (_ (_ tptp.member_a (_ @t1018 @t183)) @t1017))) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.image_nat_a @t1018) @t1014)) @t1017)))) % 151.30/151.70 (assume @p367 (forall (@list @t1019 @t1017 @t1005) (=> (forall @t182 (=> @t1007 (_ (_ tptp.member_a (_ @t1019 @t179)) @t1017))) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.image_pname_a @t1019) @t1005)) @t1017)))) % 151.30/151.70 (assume @p368 (forall (@list @t1020) (_ (_ tptp.ord_less_eq_o @t1020) @t1020))) % 151.30/151.70 (assume @p369 (forall (@list @t1021) (_ (_ tptp.ord_less_eq_pname_o @t1021) @t1021))) % 151.30/151.70 (assume @p370 (forall (@list @t1022) (_ (_ tptp.ord_less_eq_nat_o @t1022) @t1022))) % 151.30/151.70 (assume @p371 (forall (@list @t1023) (_ (_ tptp.ord_less_eq_a_o @t1023) @t1023))) % 151.30/151.70 (assume @p372 (forall (@list @t1024) (_ (_ tptp.ord_less_eq_nat @t1024) @t1024))) % 151.30/151.70 (assume @p373 (forall @t1028 (= @t1027 (exists @t600 (forall @t186 (=> @t1026 (_ (_ tptp.ord_less_eq_nat @t183) @t598))))))) % 151.30/151.70 (assume @p374 (forall (@list @t2 @t1029) (=> (_ tptp.wt @t1029) (=> (forall @t182 (=> (_ @t482 tptp.u) (_ @t3 (_ (_ tptp.insert_a (_ tptp.mgt_call @t179)) tptp.bot_bot_a_o)))) (_ @t3 (_ (_ tptp.insert_a (_ tptp.mgt @t1029)) tptp.bot_bot_a_o)))))) % 151.30/151.70 (assume @p375 (forall (@list @t1031 @t1030) (= (_ (_ tptp.ord_less_eq_pname_o @t1031) @t1030) (forall @t182 (_ (_ tptp.ord_less_eq_o (_ @t1031 @t179)) (_ @t1030 @t179)))))) % 151.30/151.70 (assume @p376 (forall (@list @t1033 @t1032) (= (_ (_ tptp.ord_less_eq_nat_o @t1033) @t1032) (forall @t186 (_ (_ tptp.ord_less_eq_o (_ @t1033 @t183)) (_ @t1032 @t183)))))) % 151.30/151.70 (assume @p377 (forall (@list @t1035 @t1034) (= (_ (_ tptp.ord_less_eq_a_o @t1035) @t1034) (forall @t166 (_ (_ tptp.ord_less_eq_o (_ @t1035 @t163)) (_ @t1034 @t163)))))) % 151.30/151.70 (assume @p378 (forall (@list @t1036 @t1038 @t1037) (=> (_ (_ tptp.ord_less_eq_pname_o @t1038) @t1037) (_ (_ tptp.ord_less_eq_o (_ @t1038 @t1036)) (_ @t1037 @t1036))))) % 151.30/151.70 (assume @p379 (forall (@list @t1039 @t1041 @t1040) (=> (_ (_ tptp.ord_less_eq_nat_o @t1041) @t1040) (_ (_ tptp.ord_less_eq_o (_ @t1041 @t1039)) (_ @t1040 @t1039))))) % 151.30/151.70 (assume @p380 (forall (@list @t1042 @t1044 @t1043) (=> (_ (_ tptp.ord_less_eq_a_o @t1044) @t1043) (_ (_ tptp.ord_less_eq_o (_ @t1044 @t1042)) (_ @t1043 @t1042))))) % 151.30/151.70 (assume @p381 (forall (@list @t1045 @t1047 @t1046) (=> (_ (_ tptp.ord_less_eq_pname_o @t1047) @t1046) (_ (_ tptp.ord_less_eq_o (_ @t1047 @t1045)) (_ @t1046 @t1045))))) % 151.30/151.70 (assume @p382 (forall (@list @t1048 @t1050 @t1049) (=> (_ (_ tptp.ord_less_eq_nat_o @t1050) @t1049) (_ (_ tptp.ord_less_eq_o (_ @t1050 @t1048)) (_ @t1049 @t1048))))) % 151.30/151.70 (assume @p383 (forall (@list @t1051 @t1053 @t1052) (=> (_ (_ tptp.ord_less_eq_a_o @t1053) @t1052) (_ (_ tptp.ord_less_eq_o (_ @t1053 @t1051)) (_ @t1052 @t1051))))) % 151.30/151.70 (assume @p384 (forall (@list @t1054) (not (_ (_ tptp.member_nat @t1054) tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p385 (forall (@list @t1055) (not (_ (_ tptp.member_pname @t1055) tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p386 (forall (@list @t1056) (not (_ (_ tptp.member_a @t1056) tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p387 (_ tptp.finite_finite_nat_o tptp.bot_bot_nat_o_o)) % 151.30/151.70 (assume @p388 (_ tptp.finite297249702name_o tptp.bot_bot_pname_o_o)) % 151.30/151.70 (assume @p389 (_ tptp.finite_finite_a_o tptp.bot_bot_a_o_o)) % 151.30/151.70 (assume @p390 (_ tptp.finite_finite_a tptp.bot_bot_a_o)) % 151.30/151.70 (assume @p391 (_ tptp.finite_finite_pname tptp.bot_bot_pname_o)) % 151.30/151.70 (assume @p392 (_ tptp.finite_finite_nat tptp.bot_bot_nat_o)) % 151.30/151.70 (assume @p393 (forall (@list @t1057) (_ @t1058 @t1057))) % 151.30/151.70 (assume @p394 (forall (@list @t1059) (_ @t1060 @t1059))) % 151.30/151.70 (assume @p395 (forall (@list @t1061) (_ @t1062 @t1061))) % 151.30/151.70 (assume @p396 (forall (@list @t1064 @t1063) (=> (= @t1063 tptp.bot_bot_nat_o) (not (_ (_ tptp.member_nat @t1064) @t1063))))) % 151.30/151.70 (assume @p397 (forall (@list @t1066 @t1065) (=> (= @t1065 tptp.bot_bot_pname_o) (not (_ (_ tptp.member_pname @t1066) @t1065))))) % 151.30/151.70 (assume @p398 (forall (@list @t1068 @t1067) (=> (= @t1067 tptp.bot_bot_a_o) (not (_ (_ tptp.member_a @t1068) @t1067))))) % 151.30/151.70 (assume @p399 (forall (@list @t1069) (= (= (_ tptp.collect_pname @t1069) tptp.bot_bot_pname_o) (forall @t182 (not (_ @t1069 @t179)))))) % 151.30/151.70 (assume @p400 (forall (@list @t1070) (= (= (_ tptp.collect_nat_o @t1070) tptp.bot_bot_nat_o_o) (forall @t170 (not (_ @t1070 @t167)))))) % 151.30/151.70 (assume @p401 (forall (@list @t1071) (= (= (_ tptp.collect_pname_o @t1071) tptp.bot_bot_pname_o_o) (forall @t174 (not (_ @t1071 @t171)))))) % 151.30/151.70 (assume @p402 (forall (@list @t1072) (= (= (_ tptp.collect_a_o @t1072) tptp.bot_bot_a_o_o) (forall @t178 (not (_ @t1072 @t175)))))) % 151.30/151.70 (assume @p403 (forall (@list @t1073) (= (= (_ tptp.collect_a @t1073) tptp.bot_bot_a_o) (forall @t166 (not (_ @t1073 @t163)))))) % 151.30/151.70 (assume @p404 (forall (@list @t1074) (= (= (_ tptp.collect_nat @t1074) tptp.bot_bot_nat_o) (forall @t186 (not (_ @t1074 @t183)))))) % 151.30/151.70 (assume @p405 (forall (@list @t1075) (not (_ (_ tptp.member_nat @t1075) tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p406 (forall (@list @t1076) (not (_ (_ tptp.member_pname @t1076) tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p407 (forall (@list @t1077) (not (_ (_ tptp.member_a @t1077) tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p408 (forall (@list @t1078) (= (= tptp.bot_bot_pname_o (_ tptp.collect_pname @t1078)) (forall @t182 (not (_ @t1078 @t179)))))) % 151.30/151.70 (assume @p409 (forall (@list @t1079) (= (= tptp.bot_bot_nat_o_o (_ tptp.collect_nat_o @t1079)) (forall @t170 (not (_ @t1079 @t167)))))) % 151.30/151.70 (assume @p410 (forall (@list @t1080) (= (= tptp.bot_bot_pname_o_o (_ tptp.collect_pname_o @t1080)) (forall @t174 (not (_ @t1080 @t171)))))) % 151.30/151.70 (assume @p411 (forall (@list @t1081) (= (= tptp.bot_bot_a_o_o (_ tptp.collect_a_o @t1081)) (forall @t178 (not (_ @t1081 @t175)))))) % 151.30/151.70 (assume @p412 (forall (@list @t1082) (= (= tptp.bot_bot_a_o (_ tptp.collect_a @t1082)) (forall @t166 (not (_ @t1082 @t163)))))) % 151.30/151.70 (assume @p413 (forall (@list @t1083) (= (= tptp.bot_bot_nat_o (_ tptp.collect_nat @t1083)) (forall @t186 (not (_ @t1083 @t183)))))) % 151.30/151.70 (assume @p414 (forall (@list @t1084) (= (exists @t186 (_ @t464 @t1084)) (not (= @t1084 tptp.bot_bot_nat_o))))) % 151.30/151.70 (assume @p415 (forall (@list @t1085) (= (exists @t182 (_ @t482 @t1085)) (not (= @t1085 tptp.bot_bot_pname_o))))) % 151.30/151.70 (assume @p416 (forall (@list @t1086) (= (exists @t166 (_ @t473 @t1086)) (not (= @t1086 tptp.bot_bot_a_o))))) % 151.30/151.70 (assume @p417 (forall (@list @t1087) (= (forall @t186 (not (_ @t464 @t1087))) (= @t1087 tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p418 (forall (@list @t1088) (= (forall @t182 (not (_ @t482 @t1088))) (= @t1088 tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p419 (forall (@list @t1089) (= (forall @t166 (not (_ @t473 @t1089))) (= @t1089 tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p420 (= tptp.bot_bot_pname_o (_ tptp.collect_pname (lambda @t182 false)))) % 151.30/151.70 (assume @p421 (= tptp.bot_bot_nat_o_o (_ tptp.collect_nat_o (lambda @t170 false)))) % 151.30/151.70 (assume @p422 (= tptp.bot_bot_pname_o_o (_ tptp.collect_pname_o (lambda @t174 false)))) % 151.30/151.70 (assume @p423 (= tptp.bot_bot_a_o_o (_ tptp.collect_a_o (lambda @t178 false)))) % 151.30/151.70 (assume @p424 (= tptp.bot_bot_a_o (_ tptp.collect_a (lambda @t166 false)))) % 151.30/151.70 (assume @p425 (= tptp.bot_bot_nat_o (_ tptp.collect_nat (lambda @t186 false)))) % 151.30/151.70 (assume @p426 (forall @t182 (= (_ tptp.bot_bot_pname_o @t179) tptp.bot_bot_o))) % 151.30/151.70 (assume @p427 (forall @t186 (= (_ tptp.bot_bot_nat_o @t183) tptp.bot_bot_o))) % 151.30/151.70 (assume @p428 (forall @t166 (= (_ tptp.bot_bot_a_o @t163) tptp.bot_bot_o))) % 151.30/151.70 (assume @p429 (forall (@list @t1090) (= (_ tptp.bot_bot_pname_o @t1090) tptp.bot_bot_o))) % 151.30/151.70 (assume @p430 (forall (@list @t1091) (= (_ tptp.bot_bot_nat_o @t1091) tptp.bot_bot_o))) % 151.30/151.70 (assume @p431 (forall (@list @t1092) (= (_ tptp.bot_bot_a_o @t1092) tptp.bot_bot_o))) % 151.30/151.70 (assume @p432 (forall (@list @t1093) (=> (_ (_ tptp.ord_less_eq_pname_o @t1093) tptp.bot_bot_pname_o) (= @t1093 tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p433 (forall (@list @t1094) (=> (_ (_ tptp.ord_less_eq_o @t1094) tptp.bot_bot_o) (= @t1094 tptp.bot_bot_o)))) % 151.30/151.70 (assume @p434 (forall (@list @t1095) (=> (_ (_ tptp.ord_less_eq_nat_o @t1095) tptp.bot_bot_nat_o) (= @t1095 tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p435 (forall (@list @t1096) (=> (_ (_ tptp.ord_less_eq_a_o @t1096) tptp.bot_bot_a_o) (= @t1096 tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p436 (forall (@list @t1097) (=> (_ (_ tptp.ord_less_eq_nat @t1097) tptp.bot_bot_nat) (= @t1097 tptp.bot_bot_nat)))) % 151.30/151.70 (assume @p437 (forall (@list @t1098) (= (_ (_ tptp.ord_less_eq_pname_o @t1098) tptp.bot_bot_pname_o) (= @t1098 tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p438 (forall (@list @t1099) (= (_ (_ tptp.ord_less_eq_o @t1099) tptp.bot_bot_o) (= @t1099 tptp.bot_bot_o)))) % 151.30/151.70 (assume @p439 (forall (@list @t1100) (= (_ (_ tptp.ord_less_eq_nat_o @t1100) tptp.bot_bot_nat_o) (= @t1100 tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p440 (forall (@list @t1101) (= (_ (_ tptp.ord_less_eq_a_o @t1101) tptp.bot_bot_a_o) (= @t1101 tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p441 (forall (@list @t1102) (= (_ (_ tptp.ord_less_eq_nat @t1102) tptp.bot_bot_nat) (= @t1102 tptp.bot_bot_nat)))) % 151.30/151.70 (assume @p442 (forall (@list @t1103) (_ @t1058 @t1103))) % 151.30/151.70 (assume @p443 (forall (@list @t1104) (_ (_ tptp.ord_less_eq_o tptp.bot_bot_o) @t1104))) % 151.30/151.70 (assume @p444 (forall (@list @t1105) (_ @t1060 @t1105))) % 151.30/151.70 (assume @p445 (forall (@list @t1106) (_ @t1062 @t1106))) % 151.30/151.70 (assume @p446 (forall (@list @t1107) (_ (_ tptp.ord_less_eq_nat tptp.bot_bot_nat) @t1107))) % 151.30/151.70 (assume @p447 (forall (@list @t1109 @t1108) (=> (= (_ (_ tptp.insert_pname @t1109) tptp.bot_bot_pname_o) (_ (_ tptp.insert_pname @t1108) tptp.bot_bot_pname_o)) (= @t1109 @t1108)))) % 151.30/151.70 (assume @p448 (forall (@list @t1111 @t1110) (=> (= (_ (_ tptp.insert_nat @t1111) tptp.bot_bot_nat_o) (_ (_ tptp.insert_nat @t1110) tptp.bot_bot_nat_o)) (= @t1111 @t1110)))) % 151.30/151.70 (assume @p449 (forall (@list @t1113 @t1112) (=> (= (_ (_ tptp.insert_a @t1113) tptp.bot_bot_a_o) (_ (_ tptp.insert_a @t1112) tptp.bot_bot_a_o)) (= @t1113 @t1112)))) % 151.30/151.70 (assume @p450 (forall (@list @t1115 @t1114) (=> (_ (_ tptp.member_nat @t1115) (_ (_ tptp.insert_nat @t1114) tptp.bot_bot_nat_o)) (= @t1115 @t1114)))) % 151.30/151.70 (assume @p451 (forall (@list @t1117 @t1116) (=> (_ (_ tptp.member_pname @t1117) (_ (_ tptp.insert_pname @t1116) tptp.bot_bot_pname_o)) (= @t1117 @t1116)))) % 151.30/151.70 (assume @p452 (forall (@list @t1119 @t1118) (=> (_ (_ tptp.member_a @t1119) (_ (_ tptp.insert_a @t1118) tptp.bot_bot_a_o)) (= @t1119 @t1118)))) % 151.30/151.70 (assume @p453 (forall (@list @t1123 @t1121 @t1120 @t1122) (= (= (_ (_ tptp.insert_pname @t1123) (_ (_ tptp.insert_pname @t1121) tptp.bot_bot_pname_o)) (_ (_ tptp.insert_pname @t1120) (_ (_ tptp.insert_pname @t1122) tptp.bot_bot_pname_o))) (or (and (= @t1123 @t1120) (= @t1121 @t1122)) (and (= @t1123 @t1122) (= @t1121 @t1120)))))) % 151.30/151.70 (assume @p454 (forall (@list @t1127 @t1125 @t1124 @t1126) (= (= (_ (_ tptp.insert_nat @t1127) (_ (_ tptp.insert_nat @t1125) tptp.bot_bot_nat_o)) (_ (_ tptp.insert_nat @t1124) (_ (_ tptp.insert_nat @t1126) tptp.bot_bot_nat_o))) (or (and (= @t1127 @t1124) (= @t1125 @t1126)) (and (= @t1127 @t1126) (= @t1125 @t1124)))))) % 151.30/151.70 (assume @p455 (forall (@list @t1131 @t1129 @t1128 @t1130) (= (= (_ (_ tptp.insert_a @t1131) (_ (_ tptp.insert_a @t1129) tptp.bot_bot_a_o)) (_ (_ tptp.insert_a @t1128) (_ (_ tptp.insert_a @t1130) tptp.bot_bot_a_o))) (or (and (= @t1131 @t1128) (= @t1129 @t1130)) (and (= @t1131 @t1130) (= @t1129 @t1128)))))) % 151.30/151.70 (assume @p456 (forall (@list @t1133 @t1132) (= (_ (_ tptp.member_nat @t1133) (_ (_ tptp.insert_nat @t1132) tptp.bot_bot_nat_o)) (= @t1133 @t1132)))) % 151.30/151.70 (assume @p457 (forall (@list @t1135 @t1134) (= (_ (_ tptp.member_pname @t1135) (_ (_ tptp.insert_pname @t1134) tptp.bot_bot_pname_o)) (= @t1135 @t1134)))) % 151.30/151.70 (assume @p458 (forall (@list @t1137 @t1136) (= (_ (_ tptp.member_a @t1137) (_ (_ tptp.insert_a @t1136) tptp.bot_bot_a_o)) (= @t1137 @t1136)))) % 151.30/151.70 (assume @p459 (forall (@list @t1139 @t1138) (not (= (_ (_ tptp.insert_pname @t1139) @t1138) tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p460 (forall (@list @t1141 @t1140) (not (= (_ (_ tptp.insert_nat @t1141) @t1140) tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p461 (forall (@list @t1143 @t1142) (not (= (_ (_ tptp.insert_a @t1143) @t1142) tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p462 (forall (@list @t1145 @t1144) (not (= tptp.bot_bot_pname_o (_ (_ tptp.insert_pname @t1145) @t1144))))) % 151.30/151.70 (assume @p463 (forall (@list @t1147 @t1146) (not (= tptp.bot_bot_nat_o (_ (_ tptp.insert_nat @t1147) @t1146))))) % 151.30/151.70 (assume @p464 (forall (@list @t1149 @t1148) (not (= tptp.bot_bot_a_o (_ (_ tptp.insert_a @t1149) @t1148))))) % 151.30/151.70 (assume @p465 (forall (@list @t1150) (= (_ (_ tptp.ord_less_eq_nat_o @t1150) tptp.bot_bot_nat_o) (= @t1150 tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p466 (forall (@list @t1151) (= (_ (_ tptp.ord_less_eq_pname_o @t1151) tptp.bot_bot_pname_o) (= @t1151 tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p467 (forall (@list @t1152) (= (_ (_ tptp.ord_less_eq_a_o @t1152) tptp.bot_bot_a_o) (= @t1152 tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p468 (forall (@list @t1154 @t1153) (= (= (_ (_ tptp.image_pname_a @t1154) @t1153) tptp.bot_bot_a_o) (= @t1153 tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p469 (forall (@list @t1155) (= (_ (_ tptp.image_pname_a @t1155) tptp.bot_bot_pname_o) tptp.bot_bot_a_o))) % 151.30/151.70 (assume @p470 (forall (@list @t1157 @t1156) (= (= tptp.bot_bot_a_o (_ (_ tptp.image_pname_a @t1157) @t1156)) (= @t1156 tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p471 (forall (@list @t1158 @t1159) (and (=> @t1161 (= @t1160 (_ (_ tptp.insert_nat @t1159) tptp.bot_bot_nat_o))) (=> (not @t1161) (= @t1160 tptp.bot_bot_nat_o))))) % 151.30/151.70 (assume @p472 (forall (@list @t1162 @t1163) (and (=> @t1165 (= @t1164 (_ (_ tptp.insert_pname @t1163) tptp.bot_bot_pname_o))) (=> (not @t1165) (= @t1164 tptp.bot_bot_pname_o))))) % 151.30/151.70 (assume @p473 (forall (@list @t1166 @t1167) (and (=> @t1169 (= @t1168 (_ (_ tptp.insert_a @t1167) tptp.bot_bot_a_o))) (=> (not @t1169) (= @t1168 tptp.bot_bot_a_o))))) % 151.30/151.70 (assume @p474 (forall (@list @t1170 @t1171) (and (=> @t1173 (= @t1172 (_ (_ tptp.insert_nat_o @t1171) tptp.bot_bot_nat_o_o))) (=> (not @t1173) (= @t1172 tptp.bot_bot_nat_o_o))))) % 151.30/151.70 (assume @p475 (forall (@list @t1174 @t1175) (and (=> @t1177 (= @t1176 (_ (_ tptp.insert_pname_o @t1175) tptp.bot_bot_pname_o_o))) (=> (not @t1177) (= @t1176 tptp.bot_bot_pname_o_o))))) % 151.30/151.70 (assume @p476 (forall (@list @t1178 @t1179) (and (=> @t1181 (= @t1180 (_ (_ tptp.insert_a_o @t1179) tptp.bot_bot_a_o_o))) (=> (not @t1181) (= @t1180 tptp.bot_bot_a_o_o))))) % 151.30/151.70 (assume @p477 (forall (@list @t1182 @t1183) (and (=> @t1185 (= @t1184 (_ (_ tptp.insert_nat @t1183) tptp.bot_bot_nat_o))) (=> (not @t1185) (= @t1184 tptp.bot_bot_nat_o))))) % 151.30/151.70 (assume @p478 (forall (@list @t1186 @t1187) (and (=> @t1189 (= @t1188 (_ (_ tptp.insert_pname @t1187) tptp.bot_bot_pname_o))) (=> (not @t1189) (= @t1188 tptp.bot_bot_pname_o))))) % 151.30/151.70 (assume @p479 (forall (@list @t1190 @t1191) (and (=> @t1193 (= @t1192 (_ (_ tptp.insert_a @t1191) tptp.bot_bot_a_o))) (=> (not @t1193) (= @t1192 tptp.bot_bot_a_o))))) % 151.30/151.70 (assume @p480 (forall (@list @t1194 @t1195) (and (=> @t1197 (= @t1196 (_ (_ tptp.insert_nat_o @t1195) tptp.bot_bot_nat_o_o))) (=> (not @t1197) (= @t1196 tptp.bot_bot_nat_o_o))))) % 151.30/151.70 (assume @p481 (forall (@list @t1198 @t1199) (and (=> @t1201 (= @t1200 (_ (_ tptp.insert_pname_o @t1199) tptp.bot_bot_pname_o_o))) (=> (not @t1201) (= @t1200 tptp.bot_bot_pname_o_o))))) % 151.30/151.70 (assume @p482 (forall (@list @t1202 @t1203) (and (=> @t1205 (= @t1204 (_ (_ tptp.insert_a_o @t1203) tptp.bot_bot_a_o_o))) (=> (not @t1205) (= @t1204 tptp.bot_bot_a_o_o))))) % 151.30/151.70 (assume @p483 (forall (@list @t1206) (= (_ tptp.collect_nat (lambda @t186 (= @t183 @t1206))) (_ (_ tptp.insert_nat @t1206) tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p484 (forall (@list @t1207) (= (_ tptp.collect_pname (lambda @t182 (= @t179 @t1207))) (_ (_ tptp.insert_pname @t1207) tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p485 (forall (@list @t1208) (= (_ tptp.collect_a (lambda @t166 (= @t163 @t1208))) (_ (_ tptp.insert_a @t1208) tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p486 (forall (@list @t1209) (= (_ tptp.collect_nat_o (lambda @t170 (= @t167 @t1209))) (_ (_ tptp.insert_nat_o @t1209) tptp.bot_bot_nat_o_o)))) % 151.30/151.70 (assume @p487 (forall (@list @t1210) (= (_ tptp.collect_pname_o (lambda @t174 (= @t171 @t1210))) (_ (_ tptp.insert_pname_o @t1210) tptp.bot_bot_pname_o_o)))) % 151.30/151.70 (assume @p488 (forall (@list @t1211) (= (_ tptp.collect_a_o (lambda @t178 (= @t175 @t1211))) (_ (_ tptp.insert_a_o @t1211) tptp.bot_bot_a_o_o)))) % 151.30/151.70 (assume @p489 (forall (@list @t1212) (= (_ tptp.collect_nat (_ tptp.fequal_nat @t1212)) (_ (_ tptp.insert_nat @t1212) tptp.bot_bot_nat_o)))) % 151.30/151.70 (assume @p490 (forall (@list @t1213) (= (_ tptp.collect_pname (_ tptp.fequal_pname @t1213)) (_ (_ tptp.insert_pname @t1213) tptp.bot_bot_pname_o)))) % 151.30/151.70 (assume @p491 (forall (@list @t1214) (= (_ tptp.collect_a (_ tptp.fequal_a @t1214)) (_ (_ tptp.insert_a @t1214) tptp.bot_bot_a_o)))) % 151.30/151.70 (assume @p492 (forall (@list @t1215) (= (_ tptp.collect_nat_o (_ tptp.fequal_nat_o @t1215)) (_ (_ tptp.insert_nat_o @t1215) tptp.bot_bot_nat_o_o)))) % 151.30/151.70 (assume @p493 (forall (@list @t1216) (= (_ tptp.collect_pname_o (_ tptp.fequal_pname_o @t1216)) (_ (_ tptp.insert_pname_o @t1216) tptp.bot_bot_pname_o_o)))) % 151.30/151.70 (assume @p494 (forall (@list @t1217) (= (_ tptp.collect_a_o (_ tptp.fequal_a_o @t1217)) (_ (_ tptp.insert_a_o @t1217) tptp.bot_bot_a_o_o)))) % 151.30/151.70 (assume @p495 (forall (@list @t1220 @t1218) (=> (_ (_ tptp.ord_less_eq_nat_o @t1220) @t1219) (or (= @t1220 tptp.bot_bot_nat_o) (= @t1220 @t1219))))) % 151.30/151.70 (assume @p496 (forall (@list @t1223 @t1221) (=> (_ (_ tptp.ord_less_eq_pname_o @t1223) @t1222) (or (= @t1223 tptp.bot_bot_pname_o) (= @t1223 @t1222))))) % 151.30/151.70 (assume @p497 (forall (@list @t1226 @t1224) (=> (_ (_ tptp.ord_less_eq_a_o @t1226) @t1225) (or (= @t1226 tptp.bot_bot_a_o) (= @t1226 @t1225))))) % 151.30/151.70 (assume @p498 (forall (@list @t1227 @t1229 @t1228) (=> (_ (_ tptp.member_pname @t1229) @t1228) (= (_ (_ tptp.image_pname_a (lambda @t182 @t1227)) @t1228) (_ (_ tptp.insert_a @t1227) tptp.bot_bot_a_o))))) % 151.30/151.70 (assume @p499 (forall (@list @t1230 @t1231) (and (=> @t1233 (= @t1232 tptp.bot_bot_a_o)) (=> (not @t1233) (= @t1232 (_ (_ tptp.insert_a @t1230) tptp.bot_bot_a_o)))))) % 151.30/151.70 (assume @p500 (forall (@list @t1234 @t1235) (=> (not (_ (_ tptp.ord_less_eq_nat @t1234) @t1235)) (_ (_ tptp.ord_less_eq_nat @t1235) @t1234)))) % 151.30/151.70 (assume @p501 (forall (@list @t1237 @t1239 @t1236) (=> (_ (_ tptp.ord_less_eq_o @t1239) @t1236) (=> (_ @t1238 @t1239) (_ @t1238 @t1236))))) % 151.30/151.70 (assume @p502 (forall (@list @t1241 @t1243 @t1240) (=> (_ (_ tptp.ord_less_eq_nat_o @t1243) @t1240) (=> (_ @t1242 @t1243) (_ @t1242 @t1240))))) % 151.30/151.70 (assume @p503 (forall (@list @t1245 @t1247 @t1244) (=> (_ (_ tptp.ord_less_eq_pname_o @t1247) @t1244) (=> (_ @t1246 @t1247) (_ @t1246 @t1244))))) % 151.30/151.70 (assume @p504 (forall (@list @t1249 @t1251 @t1248) (=> (_ (_ tptp.ord_less_eq_nat @t1251) @t1248) (=> (_ @t1250 @t1251) (_ @t1250 @t1248))))) % 151.30/151.70 (assume @p505 (forall (@list @t1253 @t1255 @t1252) (=> (_ (_ tptp.ord_less_eq_a_o @t1255) @t1252) (=> (_ @t1254 @t1255) (_ @t1254 @t1252))))) % 151.30/151.70 (assume @p506 (forall (@list @t1256 @t1257) (=> (_ (_ tptp.ord_less_eq_o @t1256) @t1257) (=> (_ (_ tptp.ord_less_eq_o @t1257) @t1256) (= @t1257 @t1256))))) % 151.30/151.70 (assume @p507 (forall (@list @t1258 @t1259) (=> (_ (_ tptp.ord_less_eq_nat_o @t1258) @t1259) (=> (_ (_ tptp.ord_less_eq_nat_o @t1259) @t1258) (= @t1259 @t1258))))) % 151.30/151.70 (assume @p508 (forall (@list @t1260 @t1261) (=> (_ (_ tptp.ord_less_eq_pname_o @t1260) @t1261) (=> (_ (_ tptp.ord_less_eq_pname_o @t1261) @t1260) (= @t1261 @t1260))))) % 151.30/151.70 (assume @p509 (forall (@list @t1262 @t1263) (=> (_ (_ tptp.ord_less_eq_nat @t1262) @t1263) (=> (_ (_ tptp.ord_less_eq_nat @t1263) @t1262) (= @t1263 @t1262))))) % 151.30/151.70 (assume @p510 (forall (@list @t1264 @t1265) (=> (_ (_ tptp.ord_less_eq_a_o @t1264) @t1265) (=> (_ (_ tptp.ord_less_eq_a_o @t1265) @t1264) (= @t1265 @t1264))))) % 151.30/151.70 (assume @p511 (forall (@list @t1266 @t1267 @t1269) (=> (_ @t1268 @t1269) (=> (_ (_ tptp.ord_less_eq_o @t1269) @t1266) (_ @t1268 @t1266))))) % 151.30/151.70 (assume @p512 (forall (@list @t1270 @t1271 @t1273) (=> (_ @t1272 @t1273) (=> (_ (_ tptp.ord_less_eq_nat_o @t1273) @t1270) (_ @t1272 @t1270))))) % 151.30/151.70 (assume @p513 (forall (@list @t1274 @t1275 @t1277) (=> (_ @t1276 @t1277) (=> (_ (_ tptp.ord_less_eq_pname_o @t1277) @t1274) (_ @t1276 @t1274))))) % 151.30/151.70 (assume @p514 (forall (@list @t1278 @t1279 @t1281) (=> (_ @t1280 @t1281) (=> (_ (_ tptp.ord_less_eq_nat @t1281) @t1278) (_ @t1280 @t1278))))) % 151.30/151.70 (assume @p515 (forall (@list @t1282 @t1283 @t1285) (=> (_ @t1284 @t1285) (=> (_ (_ tptp.ord_less_eq_a_o @t1285) @t1282) (_ @t1284 @t1282))))) % 151.30/151.70 (assume @p516 (forall (@list @t1287 @t1286) (=> (_ (_ tptp.ord_less_eq_o @t1287) @t1286) (=> (_ (_ tptp.ord_less_eq_o @t1286) @t1287) (= @t1287 @t1286))))) % 151.30/151.70 (assume @p517 (forall (@list @t1289 @t1288) (=> (_ (_ tptp.ord_less_eq_nat_o @t1289) @t1288) (=> (_ (_ tptp.ord_less_eq_nat_o @t1288) @t1289) (= @t1289 @t1288))))) % 151.30/151.70 (assume @p518 (forall (@list @t1291 @t1290) (=> (_ (_ tptp.ord_less_eq_pname_o @t1291) @t1290) (=> (_ (_ tptp.ord_less_eq_pname_o @t1290) @t1291) (= @t1291 @t1290))))) % 151.30/151.70 (assume @p519 (forall (@list @t1293 @t1292) (=> (_ (_ tptp.ord_less_eq_nat @t1293) @t1292) (=> (_ (_ tptp.ord_less_eq_nat @t1292) @t1293) (= @t1293 @t1292))))) % 151.30/151.70 (assume @p520 (forall (@list @t1295 @t1294) (=> (_ (_ tptp.ord_less_eq_a_o @t1295) @t1294) (=> (_ (_ tptp.ord_less_eq_a_o @t1294) @t1295) (= @t1295 @t1294))))) % 151.30/151.70 (assume @p521 (forall (@list @t1297 @t1298 @t1296) (=> (_ (_ tptp.ord_less_eq_o @t1298) @t1296) (=> (= @t1298 @t1297) (_ (_ tptp.ord_less_eq_o @t1297) @t1296))))) % 151.30/151.70 (assume @p522 (forall (@list @t1300 @t1301 @t1299) (=> (_ (_ tptp.ord_less_eq_nat_o @t1301) @t1299) (=> (= @t1301 @t1300) (_ (_ tptp.ord_less_eq_nat_o @t1300) @t1299))))) % 151.30/151.70 (assume @p523 (forall (@list @t1303 @t1304 @t1302) (=> (_ (_ tptp.ord_less_eq_pname_o @t1304) @t1302) (=> (= @t1304 @t1303) (_ (_ tptp.ord_less_eq_pname_o @t1303) @t1302))))) % 151.30/151.70 (assume @p524 (forall (@list @t1306 @t1307 @t1305) (=> (_ (_ tptp.ord_less_eq_nat @t1307) @t1305) (=> (= @t1307 @t1306) (_ (_ tptp.ord_less_eq_nat @t1306) @t1305))))) % 151.30/151.70 (assume @p525 (forall (@list @t1309 @t1310 @t1308) (=> (_ (_ tptp.ord_less_eq_a_o @t1310) @t1308) (=> (= @t1310 @t1309) (_ (_ tptp.ord_less_eq_a_o @t1309) @t1308))))) % 151.30/151.70 (assume @p526 (forall (@list @t1311 @t1312 @t1314) (=> (_ @t1313 @t1314) (=> (= @t1314 @t1311) (_ @t1313 @t1311))))) % 151.30/151.70 (assume @p527 (forall (@list @t1315 @t1316 @t1318) (=> (_ @t1317 @t1318) (=> (= @t1318 @t1315) (_ @t1317 @t1315))))) % 151.30/151.70 (assume @p528 (forall (@list @t1319 @t1320 @t1322) (=> (_ @t1321 @t1322) (=> (= @t1322 @t1319) (_ @t1321 @t1319))))) % 151.30/151.70 (assume @p529 (forall (@list @t1323 @t1324 @t1326) (=> (_ @t1325 @t1326) (=> (= @t1326 @t1323) (_ @t1325 @t1323))))) % 151.30/151.70 (assume @p530 (forall (@list @t1327 @t1328 @t1330) (=> (_ @t1329 @t1330) (=> (= @t1330 @t1327) (_ @t1329 @t1327))))) % 151.30/151.70 (assume @p531 (forall (@list @t1332 @t1334 @t1331) (=> (= @t1331 @t1334) (=> (_ @t1333 @t1334) (_ @t1333 @t1331))))) % 151.30/151.70 (assume @p532 (forall (@list @t1336 @t1335 @t1338) (=> (= @t1335 @t1338) (=> (_ @t1337 @t1338) (_ @t1337 @t1335))))) % 151.30/151.70 (assume @p533 (forall (@list @t1340 @t1339 @t1342) (=> (= @t1339 @t1342) (=> (_ @t1341 @t1342) (_ @t1341 @t1339))))) % 151.30/151.70 (assume @p534 (forall (@list @t1344 @t1343 @t1346) (=> (= @t1343 @t1346) (=> (_ @t1345 @t1346) (_ @t1345 @t1343))))) % 151.30/151.70 (assume @p535 (forall (@list @t1348 @t1347 @t1350) (=> (= @t1347 @t1350) (=> (_ @t1349 @t1350) (_ @t1349 @t1347))))) % 151.30/151.70 (assume @p536 (forall (@list @t1351 @t1353 @t1352) (=> (= @t1352 @t1353) (=> (_ (_ tptp.ord_less_eq_o @t1353) @t1351) (_ (_ tptp.ord_less_eq_o @t1352) @t1351))))) % 151.30/151.70 (assume @p537 (forall (@list @t1354 @t1355 @t1356) (=> (= @t1355 @t1356) (=> (_ (_ tptp.ord_less_eq_nat_o @t1356) @t1354) (_ (_ tptp.ord_less_eq_nat_o @t1355) @t1354))))) % 151.30/151.70 (assume @p538 (forall (@list @t1357 @t1358 @t1359) (=> (= @t1358 @t1359) (=> (_ (_ tptp.ord_less_eq_pname_o @t1359) @t1357) (_ (_ tptp.ord_less_eq_pname_o @t1358) @t1357))))) % 151.30/151.70 (assume @p539 (forall (@list @t1360 @t1361 @t1362) (=> (= @t1361 @t1362) (=> (_ (_ tptp.ord_less_eq_nat @t1362) @t1360) (_ (_ tptp.ord_less_eq_nat @t1361) @t1360))))) % 151.30/151.70 (assume @p540 (forall (@list @t1363 @t1364 @t1365) (=> (= @t1364 @t1365) (=> (_ (_ tptp.ord_less_eq_a_o @t1365) @t1363) (_ (_ tptp.ord_less_eq_a_o @t1364) @t1363))))) % 151.30/151.70 (assume @p541 (forall (@list @t1366 @t1367) (=> (_ (_ tptp.ord_less_eq_o @t1366) @t1367) (= (_ (_ tptp.ord_less_eq_o @t1367) @t1366) (= @t1367 @t1366))))) % 151.30/151.70 (assume @p542 (forall (@list @t1368 @t1369) (=> (_ (_ tptp.ord_less_eq_nat_o @t1368) @t1369) (= (_ (_ tptp.ord_less_eq_nat_o @t1369) @t1368) (= @t1369 @t1368))))) % 151.30/151.70 (assume @p543 (forall (@list @t1370 @t1371) (=> (_ (_ tptp.ord_less_eq_pname_o @t1370) @t1371) (= (_ (_ tptp.ord_less_eq_pname_o @t1371) @t1370) (= @t1371 @t1370))))) % 151.30/151.70 (assume @p544 (forall (@list @t1372 @t1373) (=> (_ (_ tptp.ord_less_eq_nat @t1372) @t1373) (= (_ (_ tptp.ord_less_eq_nat @t1373) @t1372) (= @t1373 @t1372))))) % 151.30/151.70 (assume @p545 (forall (@list @t1374 @t1375) (=> (_ (_ tptp.ord_less_eq_a_o @t1374) @t1375) (= (_ (_ tptp.ord_less_eq_a_o @t1375) @t1374) (= @t1375 @t1374))))) % 151.30/151.70 (assume @p546 (forall (@list @t1376 @t1377) (=> (= @t1377 @t1376) (_ (_ tptp.ord_less_eq_o @t1377) @t1376)))) % 151.30/151.70 (assume @p547 (forall (@list @t1379 @t1378) (=> (= @t1379 @t1378) (_ (_ tptp.ord_less_eq_nat_o @t1379) @t1378)))) % 151.30/151.70 (assume @p548 (forall (@list @t1381 @t1380) (=> (= @t1381 @t1380) (_ (_ tptp.ord_less_eq_pname_o @t1381) @t1380)))) % 151.30/151.70 (assume @p549 (forall (@list @t1383 @t1382) (=> (= @t1383 @t1382) (_ (_ tptp.ord_less_eq_nat @t1383) @t1382)))) % 151.30/151.70 (assume @p550 (forall (@list @t1385 @t1384) (=> (= @t1385 @t1384) (_ (_ tptp.ord_less_eq_a_o @t1385) @t1384)))) % 151.30/151.70 (assume @p551 (forall (@list @t1387 @t1386) (= (= @t1386 @t1387) (and (_ (_ tptp.ord_less_eq_o @t1386) @t1387) (_ (_ tptp.ord_less_eq_o @t1387) @t1386))))) % 151.30/151.70 (assume @p552 (forall (@list @t1388 @t1389) (= (= @t1388 @t1389) (and (_ (_ tptp.ord_less_eq_nat_o @t1388) @t1389) (_ (_ tptp.ord_less_eq_nat_o @t1389) @t1388))))) % 151.30/151.70 (assume @p553 (forall (@list @t1390 @t1391) (= (= @t1390 @t1391) (and (_ (_ tptp.ord_less_eq_pname_o @t1390) @t1391) (_ (_ tptp.ord_less_eq_pname_o @t1391) @t1390))))) % 151.30/151.70 (assume @p554 (forall (@list @t1392 @t1393) (= (= @t1392 @t1393) (and (_ (_ tptp.ord_less_eq_nat @t1392) @t1393) (_ (_ tptp.ord_less_eq_nat @t1393) @t1392))))) % 151.30/151.70 (assume @p555 (forall (@list @t1394 @t1395) (= (= @t1394 @t1395) (and (_ (_ tptp.ord_less_eq_a_o @t1394) @t1395) (_ (_ tptp.ord_less_eq_a_o @t1395) @t1394))))) % 151.30/151.70 (assume @p556 (forall (@list @t1396 @t1397) (or (_ (_ tptp.ord_less_eq_nat @t1396) @t1397) (_ (_ tptp.ord_less_eq_nat @t1397) @t1396)))) % 151.30/151.70 (assume @p557 (forall (@list @t1399 @t1401 @t1398) (=> (_ tptp.finite_finite_nat @t1398) (=> (_ (_ tptp.ord_less_eq_nat_o @t1398) @t1401) (=> (_ @t1399 tptp.bot_bot_nat_o) (=> (forall (@list @t459 @t1400) (=> (_ tptp.finite_finite_nat @t1400) (=> (_ @t461 @t1401) (=> (not (_ @t461 @t1400)) (=> (_ @t1399 @t1400) (_ @t1399 (_ (_ tptp.insert_nat @t459) @t1400))))))) (_ @t1399 @t1398))))))) % 151.30/151.70 (assume @p558 (forall (@list @t1403 @t1405 @t1402) (=> (_ tptp.finite_finite_pname @t1402) (=> (_ (_ tptp.ord_less_eq_pname_o @t1402) @t1405) (=> (_ @t1403 tptp.bot_bot_pname_o) (=> (forall (@list @t477 @t1404) (=> (_ tptp.finite_finite_pname @t1404) (=> (_ @t479 @t1405) (=> (not (_ @t479 @t1404)) (=> (_ @t1403 @t1404) (_ @t1403 (_ (_ tptp.insert_pname @t477) @t1404))))))) (_ @t1403 @t1402))))))) % 151.30/151.70 (assume @p559 (forall (@list @t1407 @t1409 @t1406) (=> (_ tptp.finite_finite_a @t1406) (=> (_ (_ tptp.ord_less_eq_a_o @t1406) @t1409) (=> (_ @t1407 tptp.bot_bot_a_o) (=> (forall (@list @t468 @t1408) (=> (_ tptp.finite_finite_a @t1408) (=> (_ @t470 @t1409) (=> (not (_ @t470 @t1408)) (=> (_ @t1407 @t1408) (_ @t1407 (_ (_ tptp.insert_a @t468) @t1408))))))) (_ @t1407 @t1406))))))) % 151.30/151.70 (assume @p560 (forall (@list @t1411 @t1413 @t1410) (=> (_ tptp.finite_finite_nat_o @t1410) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t1410) @t1413) (=> (_ @t1411 tptp.bot_bot_nat_o_o) (=> (forall (@list @t486 @t1412) (=> @t1414 (=> (_ @t488 @t1413) (=> (not (_ @t488 @t1412)) (=> (_ @t1411 @t1412) (_ @t1411 (_ (_ tptp.insert_nat_o @t486) @t1412))))))) (_ @t1411 @t1410))))))) % 151.30/151.70 (assume @p561 (forall (@list @t1416 @t1418 @t1415) (=> (_ tptp.finite297249702name_o @t1415) (=> (_ (_ tptp.ord_le1205211808me_o_o @t1415) @t1418) (=> (_ @t1416 tptp.bot_bot_pname_o_o) (=> (forall (@list @t495 @t1417) (=> @t1419 (=> (_ @t497 @t1418) (=> (not (_ @t497 @t1417)) (=> (_ @t1416 @t1417) (_ @t1416 (_ (_ tptp.insert_pname_o @t495) @t1417))))))) (_ @t1416 @t1415))))))) % 151.30/151.70 (assume @p562 (forall (@list @t1421 @t1423 @t1420) (=> (_ tptp.finite_finite_a_o @t1420) (=> (_ (_ tptp.ord_less_eq_a_o_o @t1420) @t1423) (=> (_ @t1421 tptp.bot_bot_a_o_o) (=> (forall (@list @t504 @t1422) (=> @t1424 (=> (_ @t506 @t1423) (=> (not (_ @t506 @t1422)) (=> (_ @t1421 @t1422) (_ @t1421 (_ (_ tptp.insert_a_o @t504) @t1422))))))) (_ @t1421 @t1420))))))) % 151.30/151.70 (assume @p563 (forall (@list @t1425 @t2) (=> (_ (_ tptp.p (_ @t1426 @t2)) (_ (_ tptp.insert_a (_ tptp.mgt @t1427)) tptp.bot_bot_a_o)) (_ @t3 (_ @t1426 tptp.bot_bot_a_o))))) % 151.30/151.70 (assume @p564 (forall (@list @t1429 @t1428) (=> (_ tptp.finite_finite_nat_o @t1428) (=> (_ @t1429 tptp.bot_bot_nat_o_o) (=> (forall (@list @t167 @t1412) (=> @t1414 (=> (not (_ @t491 @t1412)) (=> (_ @t1429 @t1412) (_ @t1429 (_ @t841 @t1412)))))) (_ @t1429 @t1428)))))) % 151.30/151.70 (assume @p565 (forall (@list @t1431 @t1430) (=> (_ tptp.finite297249702name_o @t1430) (=> (_ @t1431 tptp.bot_bot_pname_o_o) (=> (forall (@list @t171 @t1417) (=> @t1419 (=> (not (_ @t500 @t1417)) (=> (_ @t1431 @t1417) (_ @t1431 (_ @t844 @t1417)))))) (_ @t1431 @t1430)))))) % 151.30/151.70 (assume @p566 (forall (@list @t1433 @t1432) (=> (_ tptp.finite_finite_a_o @t1432) (=> (_ @t1433 tptp.bot_bot_a_o_o) (=> (forall (@list @t175 @t1422) (=> @t1424 (=> (not (_ @t509 @t1422)) (=> (_ @t1433 @t1422) (_ @t1433 (_ @t847 @t1422)))))) (_ @t1433 @t1432)))))) % 151.30/151.70 (assume @p567 (forall (@list @t1434 @t1435) (=> (forall @t200 (_ @t199 @t1436)) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t200 (_ (_ tptp.ord_less_eq_nat @t1436) @t1434))))))) % 151.30/151.70 (assume @p568 (forall (@list @t1425) (=> (_ (_ tptp.member_pname @t1425) tptp.u) (_ tptp.wt @t1427)))) % 151.30/151.70 (assume @p569 (forall @t216 (= (_ @t189 @t202) (_ (_ tptp.minus_minus_nat (_ @t189 tptp.one_one_nat)) @t187)))) % 151.30/151.70 (assume @p570 (forall @t205 (= (_ (_ tptp.minus_minus_nat @t202) tptp.one_one_nat) @t187))) % 151.30/151.70 (assume @p571 (forall @t216 (= @t274 (_ (_ (_ tptp.nat_case_o false) @t214) @t187)))) % 151.30/151.70 (assume @p572 (forall @t216 (= @t1440 @t1439))) % 151.30/151.70 (assume @p573 (forall @t216 (= @t1441 @t1439))) % 151.30/151.70 (assume @p574 (forall @t216 (= @t1441 @t1440))) % 151.30/151.70 (assume @p575 (forall @t1445 (= (= @t1444 @t1443) @t213))) % 151.30/151.70 (assume @p576 (forall @t1449 (= (= @t1448 @t1447) @t213))) % 151.30/151.70 (assume @p577 (forall @t280 (= (_ (_ tptp.plus_plus_nat @t1438) @t197) (_ @t1437 @t1443)))) % 151.30/151.70 (assume @p578 (forall (@list @t207 @t206 @t1450) (= (_ @t1451 @t1453) (_ @t1452 (_ @t1451 @t1450))))) % 151.30/151.70 (assume @p579 (forall @t216 (= @t1438 @t1454))) % 151.30/151.70 (assume @p580 (forall @t216 (= (_ (_ tptp.minus_minus_nat @t1438) @t187) @t188))) % 151.30/151.70 (assume @p581 (forall @t196 (= (_ @t1455 @t187) @t188))) % 151.30/151.70 (assume @p582 (forall @t225 (= @t224 (_ @t223 @t1457)))) % 151.30/151.70 (assume @p583 (forall @t1449 (= (_ (_ tptp.minus_minus_nat @t1448) @t1447) @t190))) % 151.30/151.70 (assume @p584 (forall @t1445 (= (_ @t1458 @t1443) @t190))) % 151.30/151.70 (assume @p585 (forall @t196 (_ @t194 @t1438))) % 151.30/151.70 (assume @p586 (forall @t196 (_ @t194 @t1454))) % 151.30/151.70 (assume @p587 (forall @t216 (= @t215 (exists @t1461 (= @t187 @t1460))))) % 151.30/151.70 (assume @p588 (forall @t1449 (= (_ (_ tptp.ord_less_eq_nat @t1448) @t1447) @t215))) % 151.30/151.70 (assume @p589 (forall @t1463 (=> @t221 (_ @t218 @t1462)))) % 151.30/151.70 (assume @p590 (forall @t1463 (=> @t221 (_ @t218 @t1464)))) % 151.30/151.70 (assume @p591 (forall @t222 (=> @t221 (_ @t1467 @t1457)))) % 151.30/151.70 (assume @p592 (forall @t1469 (=> @t221 (=> (_ @t284 @t288) (_ @t1467 @t1468))))) % 151.30/151.70 (assume @p593 (forall @t1445 (=> @t1470 @t285))) % 151.30/151.70 (assume @p594 (forall @t1445 (=> @t1470 @t215))) % 151.30/151.70 (assume @p595 (forall @t1445 (=> @t1470 (not (=> @t215 (not @t285)))))) % 151.30/151.70 (assume @p596 (forall @t1477 (=> @t1476 (= @t1475 @t1473)))) % 151.30/151.70 (assume @p597 (forall @t1477 (=> @t1476 (= @t1473 @t1475)))) % 151.30/151.70 (assume @p598 (forall @t1477 (=> @t1476 (= @t1480 @t1478)))) % 151.30/151.70 (assume @p599 (forall @t222 (=> @t221 (= (= (_ @t1471 @t217) @t197) (= @t219 (_ @t1446 @t217)))))) % 151.30/151.70 (assume @p600 (forall @t196 (=> @t195 (= (_ (_ tptp.plus_plus_nat @t190) @t187) @t188)))) % 151.30/151.70 (assume @p601 (forall @t1477 (=> @t1476 (= (_ @t218 @t1472) (_ @t1467 @t219))))) % 151.30/151.70 (assume @p602 (forall @t1477 (=> @t1476 (= @t1478 @t1480)))) % 151.30/151.70 (assume @p603 (forall @t196 (=> @t195 @t1481))) % 151.30/151.70 (assume @p604 (forall @t1445 (=> @t285 (_ @t214 (_ @t1455 @t197))))) % 151.30/151.70 (assume @p605 (forall (@list @t219 @t197 @t217) (= (_ (_ tptp.ord_less_eq_nat @t1472) @t217) (_ @t220 @t1466)))) % 151.30/151.70 (assume @p606 (forall @t1477 (=> @t1476 (= (_ @t223 @t1472) (_ (_ tptp.minus_minus_nat @t1466) @t219))))) % 151.30/151.70 (assume @p607 (forall @t205 (= @t202 (_ @t1442 tptp.one_one_nat)))) % 151.30/151.70 (assume @p608 (forall @t205 (= @t202 (_ (_ tptp.plus_plus_nat tptp.one_one_nat) @t187)))) % 151.30/151.70 (assume @p609 (forall @t1484 (=> @t1476 (= (_ (_ tptp.minus_minus_nat @t1483) @t188) (_ (_ tptp.minus_minus_nat @t1482) @t1448))))) % 151.30/151.70 (assume @p610 (forall @t1484 (=> @t1476 (= (_ @t189 @t1483) (_ @t1458 @t1482))))) % 151.30/151.70 (assume @p611 (forall @t1488 (=> @t1487 @t1486))) % 151.30/151.70 (assume @p612 (forall @t1489 (=> (_ @t1485 @t1450) @t1486))) % 151.30/151.70 (assume @p613 (forall @t205 (_ @t1490 @t202))) % 151.30/151.70 (assume @p614 (forall @t216 (=> @t1494 @t1492))) % 151.30/151.70 (assume @p615 (forall @t201 (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t200 (_ (_ tptp.ord_less_nat @t198) @t197)))))) % 151.30/151.70 (assume @p616 (forall @t1488 (=> @t1497 @t1496))) % 151.30/151.70 (assume @p617 (forall @t1489 (=> (_ @t1495 @t1450) @t1496))) % 151.30/151.70 (assume @p618 (forall @t225 (=> (_ @t1500 @t197) @t1499))) % 151.30/151.70 (assume @p619 (forall (@list @t188 @t187 @t197 @t288) (=> @t1501 (=> (= (_ @t1437 @t288) @t1447) @t1494)))) % 151.30/151.70 (assume @p620 (forall @t1469 (=> @t1503 (=> @t1501 (_ @t1502 @t1468))))) % 151.30/151.70 (assume @p621 (forall @t222 (=> @t1503 (_ @t1502 @t1457)))) % 151.30/151.70 (assume @p622 (forall @t1463 (=> @t1503 (_ @t1498 @t1464)))) % 151.30/151.70 (assume @p623 (forall @t1463 (=> @t1503 (_ @t1498 @t1462)))) % 151.30/151.70 (assume @p624 (forall @t1449 (= (_ (_ tptp.ord_less_nat @t1448) @t1447) @t1494))) % 151.30/151.70 (assume @p625 (forall (@list @t219 @t217) (not (_ (_ tptp.ord_less_nat @t1474) @t217)))) % 151.30/151.70 (assume @p626 (forall (@list @t217 @t219) (not (_ @t1500 @t217)))) % 151.30/151.70 (assume @p627 (forall @t216 (=> @t1492 @t1494))) % 151.30/151.70 (assume @p628 (forall @t216 (=> @t1504 @t1494))) % 151.30/151.70 (assume @p629 (forall @t216 (=> @t1506 (=> @t1505 @t213)))) % 151.30/151.70 (assume @p630 (forall @t222 (=> @t1503 (=> @t1509 @t1508)))) % 151.30/151.70 (assume @p631 (forall @t216 (=> @t1494 (=> (not (= @t191 @t187)) @t1504)))) % 151.30/151.70 (assume @p632 (forall @t216 (=> @t1494 @t1506))) % 151.30/151.70 (assume @p633 (forall @t196 (=> @t1512 (=> @t1510 @t213)))) % 151.30/151.70 (assume @p634 (forall @t196 (=> @t1512 @t1513))) % 151.30/151.70 (assume @p635 (forall @t216 (= @t1492 @t1494))) % 151.30/151.70 (assume @p636 (forall @t216 (= @t1506 @t1514))) % 151.30/151.70 (assume @p637 (forall @t216 (= @t1505 @t1510))) % 151.30/151.70 (assume @p638 (forall @t216 (=> @t1514 @t215))) % 151.30/151.70 (assume @p639 (forall @t216 (=> @t215 (=> @t1515 @t1494)))) % 151.30/151.70 (assume @p640 (forall @t216 (=> @t1494 @t215))) % 151.30/151.70 (assume @p641 (forall @t216 (= @t215 @t1514))) % 151.30/151.70 (assume @p642 (forall @t216 (= @t1494 (and @t215 @t1515)))) % 151.30/151.70 (assume @p643 (forall @t289 (=> @t1494 (=> (_ @t1493 @t288) (_ (_ tptp.ord_less_nat @t292) @t291))))) % 151.30/151.70 (assume @p644 (forall (@list @t187 @t219 @t197) (=> @t1509 (_ (_ tptp.ord_less_nat (_ @t1471 @t187)) @t197)))) % 151.30/151.70 (assume @p645 (forall @t209 (=> @t1497 @t1487))) % 151.30/151.70 (assume @p646 (forall @t205 (not (_ @t1490 @t187)))) % 151.30/151.70 (assume @p647 (forall @t216 (= @t1515 (or @t1494 @t1511)))) % 151.30/151.70 (assume @p648 (forall @t209 (=> @t1516 (=> (not @t1497) (_ (_ tptp.ord_less_nat @t206) @t207))))) % 151.30/151.70 (assume @p649 (forall @t196 (=> @t1511 @t1515))) % 151.30/151.70 (assume @p650 (forall (@list @t1518 @t1517) (=> (_ (_ tptp.ord_less_nat @t1518) @t1517) (not (= @t1518 @t1517))))) % 151.30/151.70 (assume @p651 (forall (@list @t1519 @t188 @t187) (=> (=> @t1494 @t1520) (=> (=> @t213 @t1520) (=> (=> @t1511 @t1520) @t1520))))) % 151.30/151.70 (assume @p652 (forall @t1028 (= @t1027 (exists @t600 (forall @t186 (=> @t1026 (_ @t1521 @t598))))))) % 151.30/151.70 (assume @p653 (forall @t205 (= (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda @t204 (_ @t1522 @t187)))) @t187))) % 151.30/151.70 (assume @p654 (forall (@list @t597 @t217) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t1461 (and (_ @t597 @t1459) (_ (_ tptp.ord_less_nat @t1459) @t217))))))) % 151.30/151.70 (assume @p655 (forall @t1523 (_ @t1498 (_ tptp.suc (_ @t1465 @t188))))) % 151.30/151.70 (assume @p656 (forall @t1523 (_ @t1498 (_ tptp.suc (_ @t1437 @t217))))) % 151.30/151.70 (assume @p657 (forall @t216 (= @t1494 @t1524))) % 151.30/151.70 (assume @p658 (forall @t196 (= @t1511 @t279))) % 151.30/151.70 (assume @p659 (forall @t216 (= @t1506 @t215))) % 151.30/151.70 (assume @p660 (forall @t216 (= @t274 @t1494))) % 151.30/151.70 (assume @p661 (forall @t216 (=> @t215 @t1506))) % 151.30/151.70 (assume @p662 (forall @t216 (=> @t1494 @t274))) % 151.30/151.70 (assume @p663 (forall @t216 (=> @t215 @t1513))) % 151.30/151.70 (assume @p664 (forall @t216 (=> @t274 @t1494))) % 151.30/151.70 (assume @p665 (forall @t216 (_ (_ tptp.ord_less_nat @t190) @t191))) % 151.30/151.70 (assume @p666 (forall @t216 (=> @t1505 @t1481))) % 151.30/151.70 (assume @p667 (forall @t225 (= (_ @t1498 @t1472) (_ @t1502 @t219)))) % 151.30/151.70 (assume @p668 (forall (@list @t1525 @t1527 @t1526) (=> (_ (_ tptp.ord_less_nat @t1527) @t1526) (=> (_ (_ tptp.ord_less_eq_nat @t1525) @t1527) (_ (_ tptp.ord_less_nat (_ (_ tptp.minus_minus_nat @t1527) @t1525)) (_ (_ tptp.minus_minus_nat @t1526) @t1525)))))) % 151.30/151.70 (assume @p669 (forall @t287 (=> @t286 (=> @t285 (= (_ (_ tptp.ord_less_nat @t283) @t282) @t1494))))) % 151.30/151.70 (assume @p670 (forall @t186 (= @t1521 (_ tptp.ord_less_eq_nat (_ tptp.suc @t183))))) % 151.30/151.70 (assume @p671 (forall (@list @t188 @t197 @t1435) (=> (forall (@list @t598 @t198) (=> (_ (_ tptp.ord_less_nat @t598) @t198) (_ (_ tptp.ord_less_nat (_ @t1435 @t598)) @t1436))) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat (_ @t1435 @t188)) @t197)) (_ @t1435 @t1444))))) % 151.30/151.70 (assume @p672 (forall (@list @t597 @t217 @t219) (=> @t221 (=> (_ @t597 @t219) (=> (forall @t204 (=> (_ @t1522 @t219) (=> (_ @t597 (_ tptp.suc @t203)) (_ @t597 @t203)))) (_ @t597 @t217)))))) % 151.30/151.70 (assume @p673 (forall @t216 (=> @t1494 @t1524))) % 151.30/151.70 (assume @p674 (forall (@list @t187 @t1025) (=> (forall @t186 (=> @t1026 (_ @t1521 @t187))) @t1027))) % 151.30/151.70 (assume @p675 (forall (@list @t217 @t219 @t1435) (=> (forall (@list @t203 @t1528) (=> (_ @t1522 @t1528) (_ (_ tptp.ord_less_nat (_ @t1435 @t203)) (_ @t1435 @t1528)))) (=> @t221 (_ (_ tptp.ord_less_eq_nat (_ @t1435 @t217)) (_ @t1435 @t219)))))) % 151.30/151.70 (assume @p676 (forall @t1530 (=> @t1508 @t1529))) % 151.30/151.70 (assume @p677 (forall @t1530 (=> @t1499 (=> (not (= @t197 @t1507)) @t1529)))) % 151.30/151.70 (assume @p678 (forall @t205 (not (_ @t1490 tptp.zero_zero_nat)))) % 151.30/151.70 (assume @p679 (forall @t205 (_ (_ tptp.ord_less_eq_nat tptp.zero_zero_nat) @t187))) % 151.30/151.70 (assume @p680 (forall @t205 (_ (_ tptp.ord_less_nat tptp.zero_zero_nat) @t202))) % 151.30/151.70 (assume @p681 (forall @t216 (= (= @t1438 @t1531) @t1533))) % 151.30/151.70 (assume @p682 (forall @t216 (= (= @t1531 @t1438) @t1533))) % 151.30/151.70 (assume @p683 (forall @t196 (= (_ @t281 @t1454) tptp.zero_zero_nat))) % 151.30/151.70 (assume @p684 (forall @t216 (=> @t215 @t1534))) % 151.30/151.70 (assume @p685 (forall @t216 (= @t1534 @t215))) % 151.30/151.70 (assume @p686 (= tptp.one_one_nat @t1531)) % 151.30/151.70 (assume @p687 (forall @t216 (=> @t1534 (=> (= (_ @t281 @t188) tptp.zero_zero_nat) @t213)))) % 151.30/151.70 (assume @p688 (forall @t1535 (= (_ @t189 @t188) tptp.zero_zero_nat))) % 151.30/151.70 (assume @p689 (forall @t1535 (= (_ @t189 tptp.zero_zero_nat) @t188))) % 151.30/151.70 (assume @p690 (forall @t205 (= (_ (_ tptp.minus_minus_nat tptp.zero_zero_nat) @t187) tptp.zero_zero_nat))) % 151.30/151.70 (assume @p691 (forall @t1535 (not (= @t191 tptp.zero_zero_nat)))) % 151.30/151.70 (assume @p692 (forall @t1535 (not (= tptp.zero_zero_nat @t191)))) % 151.30/151.70 (assume @p693 (forall (@list @t1536) (not (= (_ tptp.suc @t1536) tptp.zero_zero_nat)))) % 151.30/151.70 (assume @p694 (forall (@list @t210) (not (= tptp.zero_zero_nat @t212)))) % 151.30/151.70 (assume @p695 (= tptp.bot_bot_nat tptp.zero_zero_nat)) % 151.30/151.70 (assume @p696 (forall @t205 (= (_ @t194 tptp.zero_zero_nat) @t1532))) % 151.30/151.70 (assume @p697 (forall @t1541 (or (not @t1540) @t1539))) % 151.30/151.70 (assume @p698 (forall @t1541 (or (not @t1539) @t1540))) % 151.30/151.70 (assume @p699 (forall @t209 (or (not @t1542) @t208))) % 151.30/151.70 (assume @p700 (forall @t209 (or @t1516 @t1542))) % 151.30/151.70 (assume @p701 (forall @t1547 (or (not @t1546) @t1545))) % 151.30/151.70 (assume @p702 (forall @t1547 (or (not @t1545) @t1546))) % 151.30/151.70 (assume @p703 (forall @t1552 (or (not @t1551) @t1550))) % 151.30/151.70 (assume @p704 (forall @t1552 (or (not @t1550) @t1551))) % 151.30/151.70 (assume @p705 (forall @t1557 (or (not @t1556) @t1555))) % 151.30/151.70 (assume @p706 (forall @t1557 (or (not @t1555) @t1556))) % 151.30/151.70 (assume @p707 (forall @t1562 (or (not @t1561) @t1560))) % 151.30/151.70 (assume @p708 (forall @t1562 (or (not @t1560) @t1561))) % 151.30/151.70 (assume @p709 (_ tptp.finite_finite_pname tptp.u)) % 151.30/151.70 (assume @p710 @t1564) % 151.30/151.70 (assume @p711 (_ (_ tptp.ord_less_eq_nat @t1566) @t1565)) % 151.30/151.70 (assume @p712 (= (_ tptp.finite_card_a tptp.g) (_ (_ tptp.minus_minus_nat @t1565) @t1566))) % 151.30/151.70 (assume @p713 @t1567) % 151.30/151.70 (assume @p714 (not (_ (_ tptp.member_a @t1568) tptp.g))) % 151.30/151.70 (assume @p715 @t1569) % 151.30/151.70 (assume @p716 true) % 151.30/151.70 ; WARNING: add trust step for TRUST % 151.30/151.70 ; trust TRUST PREPROCESS_HO_ELIM % 151.30/151.70 (step @p717 :rule trust :premises () :args ((= (forall @t1588 @t1587) @t1582))) % 151.30/151.70 (step @p718 :rule aci_norm :args ((= (or false @t1586 @t1584) @t1587))) % 151.30/151.70 (step @p719 :rule refl :args (@t1584)) % 151.30/151.70 (step @p720 :rule refl :args (@t1586)) % 151.30/151.70 (step @p721 :rule evaluate :args ((not true))) % 151.30/151.70 (step @p722 :rule eq-refl :args (@t1583)) % 151.30/151.70 (step @p723 :rule cong :premises (@p722) :args (@t1589)) % 151.30/151.70 (step @p724 :rule trans :premises (@p723 @p721)) % 151.30/151.70 (step @p725 :rule nary_cong :premises (@p724 @p720 @p719) :args (@t1590)) % 151.30/151.70 (step @p726 :rule trans :premises (@p725 @p718)) % 151.30/151.70 (step @p727 :rule cong :premises (@p726) :args ((forall @t1588 @t1590))) % 151.30/151.70 (step @p728 :rule quant-var-elim-eq :args ((= (forall @t1594 @t1593) @t1590))) % 151.30/151.70 (step @p729 :rule aci_norm :args ((= @t1595 @t1593))) % 151.30/151.70 (step @p730 :rule cong :premises (@p729) :args (@t1596)) % 151.30/151.70 (step @p731 :rule trans :premises (@p730 @p728)) % 151.30/151.70 (step @p732 :rule cong :premises (@p731) :args (@t1597)) % 151.30/151.70 (step @p733 :rule quant-merge-prenex :args ((= @t1597 @t1598))) % 151.30/151.70 (step @p734 :rule symm :premises (@p733)) % 151.30/151.70 (step @p735 :rule quant_var_reordering :args ((= (forall @t553 @t1595) @t1598))) % 151.30/151.70 (step @p736 :rule trans :premises (@p735 @p734 @p732)) % 151.30/151.70 (step @p737 :rule trans :premises (@p736 @p727)) % 151.30/151.70 (step @p738 :rule refl :args (@t1591)) % 151.30/151.70 (step @p739 :rule refl :args (@t549)) % 151.30/151.70 (step @p740 :rule cong :premises (@p739 @p738) :args ((= @t549 @t1591))) % 151.30/151.70 (step @p741 :rule symm :premises (@p740)) % 151.30/151.70 (step @p742 :rule eq_resolve :premises (@p739 @p741)) % 151.30/151.70 (step @p743 :rule refl :args (@t1585)) % 151.30/151.70 (step @p744 :rule refl :args (@t535)) % 151.30/151.70 (step @p745 :rule cong :premises (@p744 @p743) :args ((= @t535 @t1585))) % 151.30/151.70 (step @p746 :rule symm :premises (@p745)) % 151.30/151.70 (step @p747 :rule eq_resolve :premises (@p744 @p746)) % 151.30/151.70 (step @p748 :rule cong :premises (@p747) :args (@t1599)) % 151.30/151.70 (step @p749 :rule refl :args (@t1583)) % 151.30/151.70 (step @p750 :rule refl :args (@t551)) % 151.30/151.70 (step @p751 :rule cong :premises (@p750 @p749) :args ((= @t551 @t1583))) % 151.30/151.70 (step @p752 :rule symm :premises (@p751)) % 151.30/151.70 (step @p753 :rule eq_resolve :premises (@p750 @p752)) % 151.30/151.70 (step @p754 :rule refl :args (@t545)) % 151.30/151.70 (step @p755 :rule cong :premises (@p754 @p753) :args (@t552)) % 151.30/151.70 (step @p756 :rule cong :premises (@p755) :args (@t1600)) % 151.30/151.70 (step @p757 :rule nary_cong :premises (@p756 @p748 @p742) :args (@t1601)) % 151.30/151.70 (step @p758 :rule cong :premises (@p757) :args ((forall @t553 @t1601))) % 151.30/151.70 (step @p759 :rule trans :premises (@p758 @p737)) % 151.30/151.70 (step @p760 :rule aci_norm :args ((= (or @t1600 (or @t1599 @t549)) @t1601))) % 151.30/151.70 (step @p761 :rule bool-impl-elim :args (@t535 @t549)) % 151.30/151.70 (step @p762 :rule refl :args (@t1600)) % 151.30/151.70 (step @p763 :rule nary_cong :premises (@p762 @p761) :args ((or @t1600 @t550))) % 150.70/151.70 (step @p764 :rule trans :premises (@p763 @p760)) % 150.70/151.70 (step @p765 :rule bool-impl-elim :args (@t552 @t550)) % 150.70/151.70 (step @p766 :rule trans :premises (@p765 @p764)) % 150.70/151.70 (step @p767 :rule cong :premises (@p766) :args (@t554)) % 150.70/151.70 (step @p768 :rule trans :premises (@p767 @p759)) % 150.70/151.70 (step @p769 :rule trans :premises (@p768 @p717)) % 150.70/151.70 (step @p770 :rule eq_resolve :premises (@p216 @p769)) % 150.70/151.70 (step @p771 :rule eq-symm :args (@t1609 @t1610)) % 150.70/151.70 (step @p772 :rule cong :premises (@p771) :args (@t1612)) % 150.70/151.70 ; trust TRUST PREPROCESS_HO_ELIM % 150.70/151.70 (step @p773 :rule trust :premises () :args ((= (forall @t875 (= @t1615 (and @t1614 @t1613))) @t1612))) % 150.70/151.70 (step @p774 :rule refl :args (@t1613)) % 150.70/151.70 (step @p775 :rule refl :args (@t868)) % 150.70/151.70 (step @p776 :rule cong :premises (@p775 @p774) :args ((= @t868 @t1613))) % 150.70/151.70 (step @p777 :rule symm :premises (@p776)) % 150.70/151.70 (step @p778 :rule eq_resolve :premises (@p775 @p777)) % 150.70/151.70 (step @p779 :rule refl :args (@t1614)) % 150.70/151.70 (step @p780 :rule refl :args (@t870)) % 150.70/151.70 (step @p781 :rule cong :premises (@p780 @p779) :args ((= @t870 @t1614))) % 150.70/151.70 (step @p782 :rule symm :premises (@p781)) % 150.70/151.70 (step @p783 :rule eq_resolve :premises (@p780 @p782)) % 150.70/151.70 (step @p784 :rule nary_cong :premises (@p783 @p778) :args (@t871)) % 150.70/151.70 (step @p785 :rule refl :args (@t1615)) % 150.70/151.70 (step @p786 :rule refl :args (@t873)) % 150.70/151.70 (step @p787 :rule cong :premises (@p786 @p785) :args ((= @t873 @t1615))) % 150.70/151.70 (step @p788 :rule symm :premises (@p787)) % 150.70/151.70 (step @p789 :rule eq_resolve :premises (@p786 @p788)) % 150.70/151.70 (step @p790 :rule cong :premises (@p789 @p784) :args (@t874)) % 150.70/151.70 (step @p791 :rule cong :premises (@p790) :args (@t876)) % 150.70/151.70 (step @p792 :rule trans :premises (@p791 @p773 @p772)) % 150.70/151.70 (step @p793 :rule eq_resolve :premises (@p325 @p792)) % 150.70/151.70 (step @p794 :rule eq-symm :args (@t1623 @t1624)) % 150.70/151.70 (step @p795 :rule refl :args (@t1625)) % 150.70/151.70 (step @p796 :rule cong :premises (@p795 @p794) :args ((=> @t1625 @t1626))) % 150.70/151.70 (assume-push @p825 @t1625) % 150.70/151.70 (step @p798 :rule instantiate :premises (@p793) :args ((@list @t1621 @t1619 @t1618))) % 150.70/151.70 (step-pop @p826 :rule scope :premises (@p798)) % 150.70/151.70 (step @p799 :rule process_scope :premises (@p826) :args (@t1626)) % 150.70/151.70 (step @p801 :rule eq_resolve :premises (@p799 @p796)) % 150.70/151.70 (step @p802 :rule implies_elim :premises (@p801)) % 150.70/151.70 (step @p803 :rule chain_m_resolution :premises (@p802 @p793) :args (@t1627 (@list false) (@list @t1625))) % 150.70/151.70 ; trust TRUST PREPROCESS_HO_ELIM % 150.70/151.70 (step @p804 :rule trust :premises () :args ((= @t1569 (not @t1624)))) % 150.70/151.70 (step @p805 :rule eq_resolve :premises (@p715 @p804)) % 150.70/151.70 (step @p806 :rule cnf_equiv_pos2 :args (@t1627)) % 150.70/151.70 (step @p807 :rule reordering :premises (@p806) :args ((or @t1624 @t1628 (not @t1627)))) % 150.70/151.70 (step @p808 :rule chain_m_resolution :premises (@p807 @p805 @p803) :args (@t1628 @t1629 (@list @t1624 @t1627))) % 150.70/151.70 ; trust TRUST PREPROCESS_HO_ELIM % 150.70/151.70 (step @p809 :rule trust :premises () :args ((= @t1564 @t1620))) % 150.70/151.70 (step @p810 :rule eq_resolve :premises (@p710 @p809)) % 150.70/151.70 (step @p811 :rule cnf_and_neg :args (@t1623)) % 150.70/151.70 (step @p812 :rule reordering :premises (@p811) :args ((or (not @t1620) @t1623 @t1630))) % 150.70/151.70 (step @p813 :rule chain_m_resolution :premises (@p812 @p810 @p808) :args (@t1630 @t1631 (@list @t1620 @t1623))) % 150.70/151.70 ; trust TRUST PREPROCESS_HO_ELIM % 150.70/151.70 (step @p814 :rule trust :premises () :args ((= @t1567 @t1632))) % 150.70/151.70 (step @p815 :rule eq_resolve :premises (@p713 @p814)) % 150.70/151.70 (step @p816 :rule cnf_or_pos :args (@t1634)) % 150.70/151.70 (step @p817 :rule reordering :premises (@p816) :args ((or @t1633 @t1622 @t1635))) % 150.70/151.70 (step @p818 :rule chain_m_resolution :premises (@p817 @p815 @p813) :args (@t1635 @t1631 (@list @t1632 @t1622))) % 150.70/151.70 (assume-push @p827 @t1582) % 150.70/151.70 (step @p820 :rule instantiate :premises (@p770) :args ((@list @t1616 @t1617 tptp.pn))) % 150.70/151.70 (step-pop @p828 :rule scope :premises (@p820)) % 150.70/151.70 (step @p821 :rule process_scope :premises (@p828) :args (@t1634)) % 150.70/151.70 (step @p823 :rule implies_elim :premises (@p821)) % 150.70/151.70 (step @p824 false :rule chain_m_resolution :premises (@p823 @p818 @p770) :args (false @t1629 (@list @t1634 @t1582))) % 150.70/151.70 ) % 150.70/151.70 % SZS output end Proof % 150.70/151.70 % cvc5 exiting %------------------------------------------------------------------------------