%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473^1 : 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 09:05:02 AM UTC 2026 % Result : Theorem 0.60s 0.84s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW473^1 : 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 % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:07:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.37 %----Proving TH0 % 0.60/0.84 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.60/0.84 % SZS status Theorem % 0.60/0.84 % SZS output start Proof % 0.60/0.84 ( % 0.60/0.84 (declare-sort tptp.x_a 0) % 0.60/0.84 (declare-sort tptp.nat 0) % 0.60/0.84 (declare-sort tptp.pname 0) % 0.60/0.84 (declare-const tptp.na tptp.nat) % 0.60/0.84 (declare-const tptp.g (-> tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.mgt_call (-> tptp.pname tptp.x_a)) % 0.60/0.84 (declare-const tptp.member_pname (-> tptp.pname (-> tptp.pname Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.member_a_o (-> (-> tptp.x_a Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.member_pname_o (-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.member_nat_o (-> (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.60/0.84 (declare-const tptp.image_a_o_o_a (-> (-> (-> (-> tptp.x_a Bool) Bool) tptp.x_a) (-> (-> (-> tptp.x_a Bool) Bool) Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.finite_card_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.u (-> tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.image_pname_o_o_a (-> (-> (-> (-> tptp.pname Bool) Bool) tptp.x_a) (-> (-> (-> tptp.pname Bool) Bool) Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.finite221134632me_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.image_nat_o_o_a (-> (-> (-> (-> tptp.nat Bool) Bool) tptp.x_a) (-> (-> (-> tptp.nat Bool) Bool) Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.finite_card_nat_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.finite_card_pname_o (-> (-> (-> tptp.pname Bool) Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.finite_card_nat_o (-> (-> (-> tptp.nat Bool) Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.finite_card_nat (-> (-> tptp.nat Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.finite_card_pname (-> (-> tptp.pname Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.collect_a (-> (-> tptp.x_a Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.insert_pname (-> tptp.pname (-> tptp.pname Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.collect_pname (-> (-> tptp.pname Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.insert_nat (-> tptp.nat (-> tptp.nat Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.image_pname_nat (-> (-> tptp.pname tptp.nat) (-> tptp.pname Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.image_a_o_a (-> (-> (-> tptp.x_a Bool) tptp.x_a) (-> (-> tptp.x_a Bool) Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.image_pname_o_a (-> (-> (-> tptp.pname Bool) tptp.x_a) (-> (-> tptp.pname Bool) Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.image_nat_o_a (-> (-> (-> tptp.nat Bool) tptp.x_a) (-> (-> tptp.nat Bool) Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.finite_card_a_o (-> (-> (-> tptp.x_a Bool) Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.image_a_a (-> (-> tptp.x_a tptp.x_a) (-> tptp.x_a Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.60/0.84 (declare-const tptp.image_pname_pname (-> (-> tptp.pname tptp.pname) (-> tptp.pname Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.insert_nat_o_o (-> (-> (-> tptp.nat Bool) Bool) (-> (-> (-> tptp.nat Bool) Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_pname_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_a (-> (-> tptp.nat tptp.x_a) (-> tptp.nat Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.insert_pname_o_o (-> (-> (-> tptp.pname Bool) Bool) (-> (-> (-> tptp.pname Bool) Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_less_eq_a_o_o (-> (-> (-> tptp.x_a Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite_finite_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite1302365357_o_o_o (-> (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_less_eq_a_o_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite1648353812_o_o_o (-> (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.p (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite1676163439at_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.insert_a_o_o (-> (-> (-> tptp.x_a Bool) Bool) (-> (-> (-> tptp.x_a Bool) Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_nat_o_o_o (-> (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool) (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_le124054423_o_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.insert_a (-> tptp.x_a (-> tptp.x_a Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.collect_nat_o (-> (-> (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_504089495me_o_o (-> (-> tptp.pname (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_pname_nat_o_o (-> (-> tptp.pname (-> tptp.nat Bool) Bool) (-> tptp.pname Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_a_o_o_o (-> (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool) (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_a_o (-> (-> tptp.nat tptp.x_a Bool) (-> tptp.nat Bool) (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite_finite_nat_o (-> (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.member_nat (-> tptp.nat (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_a_o_o_nat (-> (-> (-> (-> tptp.x_a Bool) Bool) tptp.nat) (-> (-> (-> tptp.x_a Bool) Bool) Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.finite_finite_nat (-> (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite1237261006_o_o_o (-> (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_pname_o_o (-> (-> tptp.nat (-> tptp.pname Bool) Bool) (-> tptp.nat Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.insert_nat_o (-> (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_pname_o (-> (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_pname (-> (-> tptp.nat tptp.pname) (-> tptp.nat Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.collect_pname_o_o_o (-> (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool) (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_pname_a (-> (-> tptp.pname tptp.x_a) (-> tptp.pname Bool) tptp.x_a Bool)) % 0.60/0.84 (declare-const tptp.finite_finite_pname (-> (-> tptp.pname Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_pname_a_o (-> (-> tptp.pname tptp.x_a Bool) (-> tptp.pname Bool) (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.insert_pname_o (-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_a_o (-> (-> (-> tptp.x_a Bool) Bool) (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite_finite_a_o (-> (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.member_a (-> tptp.x_a (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_a_o_o_pname (-> (-> (-> (-> tptp.x_a Bool) Bool) tptp.pname) (-> (-> (-> tptp.x_a Bool) Bool) Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.finite_finite_a (-> (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_less_eq_nat_o_o (-> (-> (-> tptp.nat Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.insert_a_o (-> (-> tptp.x_a Bool) (-> (-> tptp.x_a Bool) Bool) (-> tptp.x_a Bool) Bool)) % 0.60/0.84 (declare-const tptp.collect_nat_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_o_o_nat (-> (-> (-> (-> tptp.nat Bool) Bool) tptp.nat) (-> (-> (-> tptp.nat Bool) Bool) Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.image_pname_o_o_nat (-> (-> (-> (-> tptp.pname Bool) Bool) tptp.nat) (-> (-> (-> tptp.pname Bool) Bool) Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.finite297249702name_o (-> (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_pname_nat_o (-> (-> tptp.pname tptp.nat Bool) (-> tptp.pname Bool) (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_a_o_nat (-> (-> (-> tptp.x_a Bool) tptp.nat) (-> (-> tptp.x_a Bool) Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.image_pname_o_nat (-> (-> (-> tptp.pname Bool) tptp.nat) (-> (-> tptp.pname Bool) Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.ord_less_eq_pname_o (-> (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_pname_o (-> (-> tptp.nat tptp.pname Bool) (-> tptp.nat Bool) (-> tptp.pname Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_o_nat (-> (-> (-> tptp.nat Bool) tptp.nat) (-> (-> tptp.nat Bool) Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.finite_card_a (-> (-> tptp.x_a Bool) tptp.nat)) % 0.60/0.84 (declare-const tptp.image_a_nat (-> (-> tptp.x_a tptp.nat) (-> tptp.x_a Bool) tptp.nat Bool)) % 0.60/0.84 (declare-const tptp.image_nat_o_o_pname (-> (-> (-> (-> tptp.nat Bool) Bool) tptp.pname) (-> (-> (-> tptp.nat Bool) Bool) Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.pn tptp.pname) % 0.60/0.84 (declare-const tptp.image_471733107_pname (-> (-> (-> (-> tptp.pname Bool) Bool) tptp.pname) (-> (-> (-> tptp.pname Bool) Bool) Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.image_a_o_pname (-> (-> (-> tptp.x_a Bool) tptp.pname) (-> (-> tptp.x_a Bool) Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.image_pname_o_pname (-> (-> (-> tptp.pname Bool) tptp.pname) (-> (-> tptp.pname Bool) Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.image_nat_o_pname (-> (-> (-> tptp.nat Bool) tptp.pname) (-> (-> tptp.nat Bool) Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.image_a_pname (-> (-> tptp.x_a tptp.pname) (-> tptp.x_a Bool) tptp.pname Bool)) % 0.60/0.84 (declare-const tptp.ord_le1205211808me_o_o (-> (-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_nat_o_o (-> (-> tptp.nat (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_le1828183645_o_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_a_o_o (-> (-> tptp.nat (-> tptp.x_a Bool) Bool) (-> tptp.nat Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.ord_less_eq_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_nat_nat_o (-> (-> tptp.nat tptp.nat Bool) (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_pname_a_o_o (-> (-> tptp.pname (-> tptp.x_a Bool) Bool) (-> tptp.pname Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.finite1066544169me_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool)) % 0.60/0.84 (declare-const tptp.image_pname_pname_o (-> (-> tptp.pname tptp.pname Bool) (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 0.60/0.84 (define @t1 () (@var "Ts" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t2 () (@var "G" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t3 () (@var "A_59" (-> tptp.nat Bool))) % 0.60/0.84 (define @t4 () (@var "B_38" (-> tptp.nat Bool))) % 0.60/0.84 (define @t5 () (@var "A_59" (-> tptp.pname Bool))) % 0.60/0.84 (define @t6 () (@var "B_38" (-> tptp.pname Bool))) % 0.60/0.84 (define @t7 () (@var "A_59" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t8 () (@var "B_38" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t9 () (@var "A_59" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 0.60/0.84 (define @t10 () (@var "B_38" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 0.60/0.84 (define @t11 () (@var "A_59" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 0.60/0.84 (define @t12 () (@var "B_38" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 0.60/0.84 (define @t13 () (@var "A_59" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 0.60/0.84 (define @t14 () (@var "B_38" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 0.60/0.84 (define @t15 () (@var "A_59" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t16 () (@var "B_38" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t17 () (@var "A_59" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t18 () (@var "B_38" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t19 () (@var "A_59" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t20 () (@var "B_38" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t21 () (@var "F_15" (-> tptp.pname Bool))) % 0.60/0.84 (define @t22 () (@var "H" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t23 () (_ tptp.finite_finite_pname @t21)) % 0.60/0.84 (define @t24 () (@var "F_15" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 0.60/0.84 (define @t25 () (@var "H" (-> (-> (-> tptp.nat Bool) Bool) tptp.nat))) % 0.60/0.84 (define @t26 () (_ tptp.finite1676163439at_o_o @t24)) % 0.60/0.84 (define @t27 () (@var "F_15" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 0.60/0.84 (define @t28 () (@var "H" (-> (-> (-> tptp.pname Bool) Bool) tptp.nat))) % 0.60/0.84 (define @t29 () (_ tptp.finite1066544169me_o_o @t27)) % 0.60/0.84 (define @t30 () (@var "F_15" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 0.60/0.84 (define @t31 () (@var "H" (-> (-> (-> tptp.x_a Bool) Bool) tptp.nat))) % 0.60/0.84 (define @t32 () (_ tptp.finite_finite_a_o_o @t30)) % 0.60/0.84 (define @t33 () (@var "F_15" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t34 () (@var "H" (-> (-> tptp.x_a Bool) tptp.nat))) % 0.60/0.84 (define @t35 () (_ tptp.finite_finite_a_o @t33)) % 0.60/0.84 (define @t36 () (@var "F_15" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t37 () (@var "H" (-> (-> tptp.pname Bool) tptp.nat))) % 0.60/0.84 (define @t38 () (_ tptp.finite297249702name_o @t36)) % 0.60/0.84 (define @t39 () (@var "F_15" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t40 () (@var "H" (-> (-> tptp.nat Bool) tptp.nat))) % 0.60/0.84 (define @t41 () (_ tptp.finite_finite_nat_o @t39)) % 0.60/0.84 (define @t42 () (@var "F_15" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t43 () (@var "H" (-> tptp.x_a tptp.nat))) % 0.60/0.84 (define @t44 () (_ tptp.finite_finite_a @t42)) % 0.60/0.84 (define @t45 () (@var "H" (-> (-> (-> tptp.nat Bool) Bool) tptp.pname))) % 0.60/0.84 (define @t46 () (@var "H" (-> (-> (-> tptp.pname Bool) Bool) tptp.pname))) % 0.60/0.84 (define @t47 () (@var "H" (-> (-> (-> tptp.x_a Bool) Bool) tptp.pname))) % 0.60/0.84 (define @t48 () (@var "H" (-> (-> tptp.x_a Bool) tptp.pname))) % 0.60/0.84 (define @t49 () (@var "H" (-> (-> tptp.pname Bool) tptp.pname))) % 0.60/0.84 (define @t50 () (@var "H" (-> (-> tptp.nat Bool) tptp.pname))) % 0.60/0.84 (define @t51 () (@var "H" (-> tptp.x_a tptp.pname))) % 0.60/0.84 (define @t52 () (@var "F_15" (-> tptp.nat Bool))) % 0.60/0.84 (define @t53 () (@var "H" (-> tptp.nat (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t54 () (_ tptp.finite_finite_nat @t52)) % 0.60/0.84 (define @t55 () (@var "H" (-> tptp.nat (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t56 () (@var "H" (-> tptp.nat (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t57 () (@var "H" (-> tptp.nat tptp.x_a Bool))) % 0.60/0.84 (define @t58 () (@var "H" (-> tptp.nat tptp.pname Bool))) % 0.60/0.84 (define @t59 () (@var "H" (-> tptp.nat tptp.nat Bool))) % 0.60/0.84 (define @t60 () (@var "H" (-> tptp.nat tptp.x_a))) % 0.60/0.84 (define @t61 () (@var "H" (-> tptp.pname (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t62 () (@var "H" (-> tptp.pname (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t63 () (@var "H" (-> tptp.pname (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t64 () (@var "H" (-> tptp.pname tptp.x_a Bool))) % 0.60/0.84 (define @t65 () (@var "H" (-> tptp.pname tptp.pname Bool))) % 0.60/0.84 (define @t66 () (@var "H" (-> tptp.pname tptp.nat Bool))) % 0.60/0.84 (define @t67 () (@var "H" (-> tptp.pname tptp.pname))) % 0.60/0.84 (define @t68 () (@var "H" (-> tptp.x_a tptp.x_a))) % 0.60/0.84 (define @t69 () (@var "H" (-> (-> tptp.nat Bool) tptp.x_a))) % 0.60/0.84 (define @t70 () (@var "H" (-> (-> tptp.pname Bool) tptp.x_a))) % 0.60/0.84 (define @t71 () (@var "H" (-> (-> tptp.x_a Bool) tptp.x_a))) % 0.60/0.84 (define @t72 () (@var "H" (-> tptp.pname tptp.nat))) % 0.60/0.84 (define @t73 () (@var "H" (-> tptp.nat tptp.pname))) % 0.60/0.84 (define @t74 () (@var "A_57" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t75 () (@var "A_58" tptp.x_a)) % 0.60/0.84 (define @t76 () (@var "A_57" (-> tptp.nat Bool))) % 0.60/0.84 (define @t77 () (@var "A_58" tptp.nat)) % 0.60/0.84 (define @t78 () (@var "A_57" (-> tptp.pname Bool))) % 0.60/0.84 (define @t79 () (@var "A_58" tptp.pname)) % 0.60/0.84 (define @t80 () (@var "A_57" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 0.60/0.84 (define @t81 () (@var "A_58" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t82 () (@var "A_57" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 0.60/0.84 (define @t83 () (@var "A_58" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t84 () (@var "A_57" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 0.60/0.84 (define @t85 () (@var "A_58" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t86 () (@var "A_57" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t87 () (@var "A_58" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t88 () (@var "A_57" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t89 () (@var "A_58" (-> tptp.pname Bool))) % 0.60/0.84 (define @t90 () (@var "A_57" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t91 () (@var "A_58" (-> tptp.nat Bool))) % 0.60/0.84 (define @t92 () (@var "A_56" (-> tptp.pname Bool))) % 0.60/0.84 (define @t93 () (_ tptp.finite_card_pname @t92)) % 0.60/0.84 (define @t94 () (@var "F_14" (-> tptp.pname tptp.nat))) % 0.60/0.84 (define @t95 () (_ tptp.finite_finite_pname @t92)) % 0.60/0.84 (define @t96 () (@var "A_56" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t97 () (_ tptp.finite_card_a @t96)) % 0.60/0.84 (define @t98 () (@var "F_14" (-> tptp.x_a tptp.nat))) % 0.60/0.84 (define @t99 () (_ tptp.finite_finite_a @t96)) % 0.60/0.84 (define @t100 () (@var "A_56" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t101 () (_ tptp.finite_card_nat_o @t100)) % 0.60/0.84 (define @t102 () (@var "F_14" (-> (-> tptp.nat Bool) tptp.nat))) % 0.60/0.84 (define @t103 () (_ tptp.finite_finite_nat_o @t100)) % 0.60/0.84 (define @t104 () (@var "A_56" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t105 () (_ tptp.finite_card_pname_o @t104)) % 0.60/0.84 (define @t106 () (@var "F_14" (-> (-> tptp.pname Bool) tptp.nat))) % 0.60/0.84 (define @t107 () (_ tptp.finite297249702name_o @t104)) % 0.60/0.84 (define @t108 () (@var "A_56" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t109 () (_ tptp.finite_card_a_o @t108)) % 0.60/0.84 (define @t110 () (@var "F_14" (-> (-> tptp.x_a Bool) tptp.nat))) % 0.60/0.84 (define @t111 () (_ tptp.finite_finite_a_o @t108)) % 0.60/0.84 (define @t112 () (@var "F_14" (-> tptp.x_a tptp.pname))) % 0.60/0.84 (define @t113 () (@var "A_56" (-> tptp.nat Bool))) % 0.60/0.84 (define @t114 () (_ tptp.finite_card_nat @t113)) % 0.60/0.84 (define @t115 () (@var "F_14" (-> tptp.nat tptp.pname))) % 0.60/0.84 (define @t116 () (_ tptp.finite_finite_nat @t113)) % 0.60/0.84 (define @t117 () (@var "F_14" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t118 () (@var "A_56" (-> (-> (-> tptp.nat Bool) Bool) Bool))) % 0.60/0.84 (define @t119 () (@var "F_14" (-> (-> (-> tptp.nat Bool) Bool) tptp.x_a))) % 0.60/0.84 (define @t120 () (@var "A_56" (-> (-> (-> tptp.pname Bool) Bool) Bool))) % 0.60/0.84 (define @t121 () (@var "F_14" (-> (-> (-> tptp.pname Bool) Bool) tptp.x_a))) % 0.60/0.84 (define @t122 () (@var "A_56" (-> (-> (-> tptp.x_a Bool) Bool) Bool))) % 0.60/0.84 (define @t123 () (@var "F_14" (-> (-> (-> tptp.x_a Bool) Bool) tptp.x_a))) % 0.60/0.84 (define @t124 () (@var "F_14" (-> (-> tptp.x_a Bool) tptp.x_a))) % 0.60/0.84 (define @t125 () (@var "F_14" (-> (-> tptp.pname Bool) tptp.x_a))) % 0.60/0.84 (define @t126 () (@var "F_14" (-> (-> tptp.nat Bool) tptp.x_a))) % 0.60/0.84 (define @t127 () (@var "F_14" (-> tptp.x_a tptp.x_a))) % 0.60/0.84 (define @t128 () (@var "F_14" (-> tptp.pname tptp.pname))) % 0.60/0.84 (define @t129 () (@var "F_14" (-> tptp.pname tptp.nat Bool))) % 0.60/0.84 (define @t130 () (@var "F_14" (-> tptp.pname tptp.pname Bool))) % 0.60/0.84 (define @t131 () (@var "F_14" (-> tptp.pname tptp.x_a Bool))) % 0.60/0.84 (define @t132 () (@var "F_14" (-> tptp.nat tptp.x_a))) % 0.60/0.84 (define @t133 () (@var "F_14" (-> tptp.nat tptp.nat Bool))) % 0.60/0.84 (define @t134 () (@var "F_14" (-> tptp.nat tptp.pname Bool))) % 0.60/0.84 (define @t135 () (@var "F_14" (-> tptp.nat tptp.x_a Bool))) % 0.60/0.84 (define @t136 () (@var "F_14" (-> (-> tptp.nat Bool) tptp.pname))) % 0.60/0.84 (define @t137 () (@var "F_14" (-> (-> tptp.pname Bool) tptp.pname))) % 0.60/0.84 (define @t138 () (@var "F_14" (-> (-> tptp.x_a Bool) tptp.pname))) % 0.60/0.84 (define @t139 () (@var "B_37" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t140 () (@var "A_55" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t141 () (@var "B_37" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t142 () (@var "A_55" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t143 () (@var "B_37" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t144 () (@var "A_55" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t145 () (@var "B_37" (-> tptp.pname Bool))) % 0.60/0.84 (define @t146 () (@var "A_55" (-> tptp.pname Bool))) % 0.60/0.84 (define @t147 () (@var "B_37" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t148 () (@var "A_55" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t149 () (@var "B_37" (-> tptp.nat Bool))) % 0.60/0.84 (define @t150 () (@var "A_55" (-> tptp.nat Bool))) % 0.60/0.84 (define @t151 () (@var "B_36" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t152 () (@var "A_54" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t153 () (@var "B_36" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t154 () (@var "A_54" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t155 () (@var "B_36" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t156 () (@var "A_54" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t157 () (@var "B_36" (-> tptp.pname Bool))) % 0.60/0.84 (define @t158 () (@var "A_54" (-> tptp.pname Bool))) % 0.60/0.84 (define @t159 () (@var "B_36" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t160 () (@var "A_54" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t161 () (@var "B_36" (-> tptp.nat Bool))) % 0.60/0.84 (define @t162 () (@var "A_54" (-> tptp.nat Bool))) % 0.60/0.84 (define @t163 () (@var "A_53" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t164 () (@var "X_19" (-> tptp.nat Bool))) % 0.60/0.84 (define @t165 () (@var "A_53" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t166 () (@var "X_19" (-> tptp.pname Bool))) % 0.60/0.84 (define @t167 () (@var "A_53" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t168 () (@var "X_19" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t169 () (@var "A_53" (-> tptp.pname Bool))) % 0.60/0.84 (define @t170 () (@var "X_19" tptp.pname)) % 0.60/0.84 (define @t171 () (@var "A_53" (-> tptp.nat Bool))) % 0.60/0.84 (define @t172 () (@var "X_19" tptp.nat)) % 0.60/0.84 (define @t173 () (@var "A_53" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t174 () (@var "X_19" tptp.x_a)) % 0.60/0.84 (define @t175 () (@var "A_52" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t176 () (_ tptp.finite_card_nat_o @t175)) % 0.60/0.84 (define @t177 () (@var "X_18" (-> tptp.nat Bool))) % 0.60/0.84 (define @t178 () (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t177) @t175))) % 0.60/0.84 (define @t179 () (_ (_ tptp.member_nat_o @t177) @t175)) % 0.60/0.84 (define @t180 () (@var "A_52" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t181 () (_ tptp.finite_card_pname_o @t180)) % 0.60/0.84 (define @t182 () (@var "X_18" (-> tptp.pname Bool))) % 0.60/0.84 (define @t183 () (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t182) @t180))) % 0.60/0.84 (define @t184 () (_ (_ tptp.member_pname_o @t182) @t180)) % 0.60/0.84 (define @t185 () (@var "A_52" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t186 () (_ tptp.finite_card_a_o @t185)) % 0.60/0.84 (define @t187 () (@var "X_18" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t188 () (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t187) @t185))) % 0.60/0.84 (define @t189 () (_ (_ tptp.member_a_o @t187) @t185)) % 0.60/0.84 (define @t190 () (@var "A_52" (-> tptp.nat Bool))) % 0.60/0.84 (define @t191 () (_ tptp.finite_card_nat @t190)) % 0.60/0.84 (define @t192 () (@var "X_18" tptp.nat)) % 0.60/0.84 (define @t193 () (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t192) @t190))) % 0.60/0.84 (define @t194 () (_ (_ tptp.member_nat @t192) @t190)) % 0.60/0.84 (define @t195 () (@var "A_52" (-> tptp.pname Bool))) % 0.60/0.84 (define @t196 () (_ tptp.finite_card_pname @t195)) % 0.60/0.84 (define @t197 () (@var "X_18" tptp.pname)) % 0.60/0.84 (define @t198 () (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t197) @t195))) % 0.60/0.84 (define @t199 () (_ (_ tptp.member_pname @t197) @t195)) % 0.60/0.84 (define @t200 () (@var "A_52" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t201 () (_ tptp.finite_card_a @t200)) % 0.60/0.84 (define @t202 () (@var "X_18" tptp.x_a)) % 0.60/0.84 (define @t203 () (_ tptp.finite_card_a (_ (_ tptp.insert_a @t202) @t200))) % 0.60/0.84 (define @t204 () (_ (_ tptp.member_a @t202) @t200)) % 0.60/0.84 (define @t205 () (@var "A_51" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t206 () (@var "X_17" (-> tptp.nat Bool))) % 0.60/0.84 (define @t207 () (@var "A_51" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t208 () (@var "X_17" (-> tptp.pname Bool))) % 0.60/0.84 (define @t209 () (@var "A_51" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t210 () (@var "X_17" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t211 () (@var "A_51" (-> tptp.nat Bool))) % 0.60/0.84 (define @t212 () (@var "X_17" tptp.nat)) % 0.60/0.84 (define @t213 () (@var "A_51" (-> tptp.pname Bool))) % 0.60/0.84 (define @t214 () (@var "X_17" tptp.pname)) % 0.60/0.84 (define @t215 () (@var "A_51" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t216 () (@var "X_17" tptp.x_a)) % 0.60/0.84 (define @t217 () (@var "X" (-> tptp.nat Bool))) % 0.60/0.84 (define @t218 () (@var "Q_1" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t219 () (@var "P_4" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t220 () (@list @t217)) % 0.60/0.84 (define @t221 () (@var "X" (-> tptp.pname Bool))) % 0.60/0.84 (define @t222 () (@var "Q_1" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t223 () (@var "P_4" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t224 () (@list @t221)) % 0.60/0.84 (define @t225 () (@var "X" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t226 () (@var "Q_1" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t227 () (@var "P_4" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t228 () (@list @t225)) % 0.60/0.84 (define @t229 () (@var "X" tptp.x_a)) % 0.60/0.84 (define @t230 () (@var "Q_1" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t231 () (@var "P_4" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t232 () (@list @t229)) % 0.60/0.84 (define @t233 () (@var "X" tptp.pname)) % 0.60/0.84 (define @t234 () (@var "Q_1" (-> tptp.pname Bool))) % 0.60/0.84 (define @t235 () (@var "P_4" (-> tptp.pname Bool))) % 0.60/0.84 (define @t236 () (@list @t233)) % 0.60/0.84 (define @t237 () (@var "X" tptp.nat)) % 0.60/0.84 (define @t238 () (@var "Q_1" (-> tptp.nat Bool))) % 0.60/0.84 (define @t239 () (@var "P_4" (-> tptp.nat Bool))) % 0.60/0.84 (define @t240 () (@list @t237)) % 0.60/0.84 (define @t241 () (@var "N_1" tptp.nat)) % 0.60/0.84 (define @t242 () (@var "M_2" tptp.nat)) % 0.60/0.84 (define @t243 () (_ tptp.minus_minus_nat @t242)) % 0.60/0.84 (define @t244 () (_ @t243 @t241)) % 0.60/0.84 (define @t245 () (_ tptp.suc @t242)) % 0.60/0.84 (define @t246 () (_ tptp.minus_minus_nat @t245)) % 0.60/0.84 (define @t247 () (_ @t246 @t241)) % 0.60/0.84 (define @t248 () (_ tptp.ord_less_eq_nat @t241)) % 0.60/0.84 (define @t249 () (_ @t248 @t242)) % 0.60/0.84 (define @t250 () (@list @t241 @t242)) % 0.60/0.84 (define @t251 () (@var "K" tptp.nat)) % 0.60/0.84 (define @t252 () (@var "N_2" tptp.nat)) % 0.60/0.84 (define @t253 () (@list @t252)) % 0.60/0.84 (define @t254 () (_ tptp.suc @t241)) % 0.60/0.84 (define @t255 () (@var "I_1" tptp.nat)) % 0.60/0.84 (define @t256 () (@list @t241)) % 0.60/0.84 (define @t257 () (@var "Y_3" tptp.nat)) % 0.60/0.84 (define @t258 () (@var "X_16" tptp.nat)) % 0.60/0.84 (define @t259 () (@var "Nat" tptp.nat)) % 0.60/0.84 (define @t260 () (@var "Nat_1" tptp.nat)) % 0.60/0.84 (define @t261 () (= @t242 @t241)) % 0.60/0.84 (define @t262 () (_ tptp.ord_less_eq_nat @t242)) % 0.60/0.84 (define @t263 () (_ @t262 @t241)) % 0.60/0.84 (define @t264 () (@list @t242 @t241)) % 0.60/0.84 (define @t265 () (@var "I" tptp.nat)) % 0.60/0.84 (define @t266 () (_ tptp.ord_less_eq_nat @t265)) % 0.60/0.84 (define @t267 () (@var "J" tptp.nat)) % 0.60/0.84 (define @t268 () (_ tptp.minus_minus_nat @t265)) % 0.60/0.84 (define @t269 () (@var "Q" (-> tptp.pname Bool))) % 0.60/0.84 (define @t270 () (@var "P_3" (-> tptp.pname Bool))) % 0.60/0.84 (define @t271 () (@var "Q" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t272 () (@var "P_3" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t273 () (@var "Q" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t274 () (@var "P_3" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t275 () (@var "Q" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t276 () (@var "P_3" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t277 () (@var "Q" (-> tptp.nat Bool))) % 0.60/0.84 (define @t278 () (@var "P_3" (-> tptp.nat Bool))) % 0.60/0.84 (define @t279 () (@var "Q" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t280 () (@var "P_3" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t281 () (@var "A_49" (-> tptp.nat Bool))) % 0.60/0.84 (define @t282 () (@var "A_50" tptp.nat)) % 0.60/0.84 (define @t283 () (@var "A_49" (-> tptp.pname Bool))) % 0.60/0.84 (define @t284 () (@var "A_50" tptp.pname)) % 0.60/0.84 (define @t285 () (@var "A_49" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t286 () (@var "A_50" tptp.x_a)) % 0.60/0.84 (define @t287 () (@var "A_49" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t288 () (@var "A_50" (-> tptp.nat Bool))) % 0.60/0.84 (define @t289 () (@var "A_49" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t290 () (@var "A_50" (-> tptp.pname Bool))) % 0.60/0.84 (define @t291 () (@var "A_49" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t292 () (@var "A_50" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t293 () (@var "A_48" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t294 () (@var "B_35" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t295 () (@var "A_48" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t296 () (@var "B_35" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t297 () (@var "A_48" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t298 () (@var "B_35" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t299 () (@var "A_48" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t300 () (@var "B_35" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t301 () (@var "A_48" (-> tptp.nat Bool))) % 0.60/0.84 (define @t302 () (@var "B_35" (-> tptp.nat Bool))) % 0.60/0.84 (define @t303 () (@var "A_48" (-> tptp.pname Bool))) % 0.60/0.84 (define @t304 () (@var "B_35" (-> tptp.pname Bool))) % 0.60/0.84 (define @t305 () (@var "A_47" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t306 () (@var "B_34" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t307 () (@var "A_47" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t308 () (@var "B_34" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t309 () (@var "A_47" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t310 () (@var "B_34" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t311 () (@var "A_47" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t312 () (@var "B_34" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t313 () (@var "A_47" (-> tptp.nat Bool))) % 0.60/0.84 (define @t314 () (@var "B_34" (-> tptp.nat Bool))) % 0.60/0.84 (define @t315 () (@var "A_47" (-> tptp.pname Bool))) % 0.60/0.84 (define @t316 () (@var "B_34" (-> tptp.pname Bool))) % 0.60/0.84 (define @t317 () (= @t242 @t254)) % 0.60/0.84 (define @t318 () (not @t263)) % 0.60/0.84 (define @t319 () (_ @t262 @t254)) % 0.60/0.84 (define @t320 () (_ tptp.ord_less_eq_nat @t254)) % 0.60/0.84 (define @t321 () (_ tptp.minus_minus_nat @t241)) % 0.60/0.84 (define @t322 () (_ @t321 @t251)) % 0.60/0.84 (define @t323 () (_ @t243 @t251)) % 0.60/0.84 (define @t324 () (_ tptp.ord_less_eq_nat @t251)) % 0.60/0.84 (define @t325 () (_ @t324 @t241)) % 0.60/0.84 (define @t326 () (_ @t324 @t242)) % 0.60/0.84 (define @t327 () (@list @t241 @t251 @t242)) % 0.60/0.84 (define @t328 () (@var "L" tptp.nat)) % 0.60/0.84 (define @t329 () (@list @t328 @t242 @t241)) % 0.60/0.84 (define @t330 () (_ tptp.minus_minus_nat @t328)) % 0.60/0.84 (define @t331 () (@var "B_33" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t332 () (@var "A_46" (-> tptp.pname Bool))) % 0.60/0.84 (define @t333 () (@var "F_13" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t334 () (@var "C_3" (-> tptp.pname Bool))) % 0.60/0.84 (define @t335 () (@var "F_12" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t336 () (_ tptp.image_pname_a @t335)) % 0.60/0.84 (define @t337 () (@var "B_32" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t338 () (@var "A_45" (-> tptp.pname Bool))) % 0.60/0.84 (define @t339 () (@var "N_3" tptp.nat)) % 0.60/0.84 (define @t340 () (@var "F_11" (-> tptp.nat tptp.nat Bool))) % 0.60/0.84 (define @t341 () (@var "N_4" tptp.nat)) % 0.60/0.84 (define @t342 () (_ (_ tptp.ord_less_eq_nat @t341) @t339)) % 0.60/0.84 (define @t343 () (_ tptp.suc @t252)) % 0.60/0.84 (define @t344 () (@var "F_11" (-> tptp.nat tptp.pname Bool))) % 0.60/0.84 (define @t345 () (@var "F_11" (-> tptp.nat tptp.nat))) % 0.60/0.84 (define @t346 () (@var "F_11" (-> tptp.nat tptp.x_a Bool))) % 0.60/0.84 (define @t347 () (@var "F_10" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t348 () (@var "A_44" tptp.pname)) % 0.60/0.84 (define @t349 () (@var "A_43" (-> tptp.pname Bool))) % 0.60/0.84 (define @t350 () (_ tptp.member_pname @t233)) % 0.60/0.84 (define @t351 () (@var "A_42" (-> tptp.pname Bool))) % 0.60/0.84 (define @t352 () (@var "F_9" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t353 () (@var "B_31" tptp.x_a)) % 0.60/0.84 (define @t354 () (@var "X_15" tptp.pname)) % 0.60/0.84 (define @t355 () (@var "B_30" (-> tptp.nat Bool))) % 0.60/0.84 (define @t356 () (@var "A_41" (-> tptp.nat Bool))) % 0.60/0.84 (define @t357 () (@var "B_30" (-> tptp.pname Bool))) % 0.60/0.84 (define @t358 () (@var "A_41" (-> tptp.pname Bool))) % 0.60/0.84 (define @t359 () (@var "B_30" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t360 () (@var "A_41" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t361 () (@var "B_29" (-> tptp.nat Bool))) % 0.60/0.84 (define @t362 () (@var "C_2" tptp.nat)) % 0.60/0.84 (define @t363 () (_ tptp.member_nat @t362)) % 0.60/0.84 (define @t364 () (@var "A_40" (-> tptp.nat Bool))) % 0.60/0.84 (define @t365 () (@var "B_29" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t366 () (@var "C_2" tptp.x_a)) % 0.60/0.84 (define @t367 () (_ tptp.member_a @t366)) % 0.60/0.84 (define @t368 () (@var "A_40" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t369 () (@var "B_29" (-> tptp.pname Bool))) % 0.60/0.84 (define @t370 () (@var "C_2" tptp.pname)) % 0.60/0.84 (define @t371 () (_ tptp.member_pname @t370)) % 0.60/0.84 (define @t372 () (@var "A_40" (-> tptp.pname Bool))) % 0.60/0.84 (define @t373 () (@var "B_27" (-> tptp.nat Bool))) % 0.60/0.84 (define @t374 () (@var "B_28" tptp.nat)) % 0.60/0.84 (define @t375 () (@var "A_39" tptp.nat)) % 0.60/0.84 (define @t376 () (_ tptp.member_nat @t375)) % 0.60/0.84 (define @t377 () (@var "B_27" (-> tptp.pname Bool))) % 0.60/0.84 (define @t378 () (@var "B_28" tptp.pname)) % 0.60/0.84 (define @t379 () (@var "A_39" tptp.pname)) % 0.60/0.84 (define @t380 () (_ tptp.member_pname @t379)) % 0.60/0.84 (define @t381 () (@var "B_27" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t382 () (@var "B_28" tptp.x_a)) % 0.60/0.84 (define @t383 () (@var "A_39" tptp.x_a)) % 0.60/0.84 (define @t384 () (_ tptp.member_a @t383)) % 0.60/0.84 (define @t385 () (@var "A_37" (-> tptp.nat Bool))) % 0.60/0.84 (define @t386 () (@var "A_38" tptp.nat)) % 0.60/0.84 (define @t387 () (_ tptp.member_nat @t386)) % 0.60/0.84 (define @t388 () (@var "B_26" tptp.nat)) % 0.60/0.84 (define @t389 () (@var "A_37" (-> tptp.pname Bool))) % 0.60/0.84 (define @t390 () (@var "A_38" tptp.pname)) % 0.60/0.84 (define @t391 () (_ tptp.member_pname @t390)) % 0.60/0.84 (define @t392 () (@var "B_26" tptp.pname)) % 0.60/0.84 (define @t393 () (@var "A_37" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t394 () (@var "A_38" tptp.x_a)) % 0.60/0.84 (define @t395 () (_ tptp.member_a @t394)) % 0.60/0.84 (define @t396 () (@var "B_26" tptp.x_a)) % 0.60/0.84 (define @t397 () (@var "B_25" (-> tptp.nat Bool))) % 0.60/0.84 (define @t398 () (@var "A_36" tptp.nat)) % 0.60/0.84 (define @t399 () (@var "B_25" (-> tptp.pname Bool))) % 0.60/0.84 (define @t400 () (@var "A_36" tptp.pname)) % 0.60/0.84 (define @t401 () (@var "B_25" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t402 () (@var "A_36" tptp.x_a)) % 0.60/0.84 (define @t403 () (@var "B_24" (-> tptp.nat Bool))) % 0.60/0.84 (define @t404 () (_ tptp.member_nat @t237)) % 0.60/0.84 (define @t405 () (@var "A_35" tptp.nat)) % 0.60/0.84 (define @t406 () (@var "B_24" (-> tptp.pname Bool))) % 0.60/0.84 (define @t407 () (@var "A_35" tptp.pname)) % 0.60/0.84 (define @t408 () (@var "B_24" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t409 () (_ tptp.member_a @t229)) % 0.60/0.84 (define @t410 () (@var "A_35" tptp.x_a)) % 0.60/0.84 (define @t411 () (@var "B_24" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t412 () (@var "A_35" (-> tptp.nat Bool))) % 0.60/0.84 (define @t413 () (@var "B_24" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t414 () (@var "A_35" (-> tptp.pname Bool))) % 0.60/0.84 (define @t415 () (@var "B_24" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t416 () (@var "A_35" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t417 () (@var "U" tptp.nat)) % 0.60/0.84 (define @t418 () (@var "P_2" (-> tptp.nat Bool))) % 0.60/0.84 (define @t419 () (@var "A_34" tptp.nat)) % 0.60/0.84 (define @t420 () (@var "U" tptp.pname)) % 0.60/0.84 (define @t421 () (@var "P_2" (-> tptp.pname Bool))) % 0.60/0.84 (define @t422 () (@var "A_34" tptp.pname)) % 0.60/0.84 (define @t423 () (@var "U" tptp.x_a)) % 0.60/0.84 (define @t424 () (@var "P_2" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t425 () (@var "A_34" tptp.x_a)) % 0.60/0.84 (define @t426 () (@var "U" (-> tptp.nat Bool))) % 0.60/0.84 (define @t427 () (@var "P_2" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t428 () (@var "A_34" (-> tptp.nat Bool))) % 0.60/0.84 (define @t429 () (@var "U" (-> tptp.pname Bool))) % 0.60/0.84 (define @t430 () (@var "P_2" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t431 () (@var "A_34" (-> tptp.pname Bool))) % 0.60/0.84 (define @t432 () (@var "U" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t433 () (@var "P_2" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t434 () (@var "A_34" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t435 () (@var "A_33" (-> tptp.nat Bool))) % 0.60/0.84 (define @t436 () (@var "X_14" tptp.nat)) % 0.60/0.84 (define @t437 () (_ tptp.insert_nat @t436)) % 0.60/0.84 (define @t438 () (_ @t437 @t435)) % 0.60/0.84 (define @t439 () (@var "A_33" (-> tptp.pname Bool))) % 0.60/0.84 (define @t440 () (@var "X_14" tptp.pname)) % 0.60/0.84 (define @t441 () (_ tptp.insert_pname @t440)) % 0.60/0.84 (define @t442 () (_ @t441 @t439)) % 0.60/0.84 (define @t443 () (@var "A_33" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t444 () (@var "X_14" tptp.x_a)) % 0.60/0.84 (define @t445 () (_ tptp.insert_a @t444)) % 0.60/0.84 (define @t446 () (_ @t445 @t443)) % 0.60/0.84 (define @t447 () (@var "A_32" (-> tptp.nat Bool))) % 0.60/0.84 (define @t448 () (@var "X_13" tptp.nat)) % 0.60/0.84 (define @t449 () (_ tptp.insert_nat @t448)) % 0.60/0.84 (define @t450 () (@var "Y_2" tptp.nat)) % 0.60/0.84 (define @t451 () (_ tptp.insert_nat @t450)) % 0.60/0.84 (define @t452 () (@var "A_32" (-> tptp.pname Bool))) % 0.60/0.84 (define @t453 () (@var "X_13" tptp.pname)) % 0.60/0.84 (define @t454 () (_ tptp.insert_pname @t453)) % 0.60/0.84 (define @t455 () (@var "Y_2" tptp.pname)) % 0.60/0.84 (define @t456 () (_ tptp.insert_pname @t455)) % 0.60/0.84 (define @t457 () (@var "A_32" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t458 () (@var "X_13" tptp.x_a)) % 0.60/0.84 (define @t459 () (_ tptp.insert_a @t458)) % 0.60/0.84 (define @t460 () (@var "Y_2" tptp.x_a)) % 0.60/0.84 (define @t461 () (_ tptp.insert_a @t460)) % 0.60/0.84 (define @t462 () (@var "A_30" (-> tptp.nat Bool))) % 0.60/0.84 (define @t463 () (@var "A_31" tptp.nat)) % 0.60/0.84 (define @t464 () (_ tptp.member_nat @t463)) % 0.60/0.84 (define @t465 () (@var "B_23" tptp.nat)) % 0.60/0.84 (define @t466 () (@var "A_30" (-> tptp.pname Bool))) % 0.60/0.84 (define @t467 () (@var "A_31" tptp.pname)) % 0.60/0.84 (define @t468 () (_ tptp.member_pname @t467)) % 0.60/0.84 (define @t469 () (@var "B_23" tptp.pname)) % 0.60/0.84 (define @t470 () (@var "A_30" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t471 () (@var "A_31" tptp.x_a)) % 0.60/0.84 (define @t472 () (_ tptp.member_a @t471)) % 0.60/0.84 (define @t473 () (@var "B_23" tptp.x_a)) % 0.60/0.84 (define @t474 () (@var "X_12" tptp.nat)) % 0.60/0.84 (define @t475 () (@var "A_29" (-> tptp.nat Bool))) % 0.60/0.84 (define @t476 () (@var "Y_1" tptp.nat)) % 0.60/0.84 (define @t477 () (@var "X_12" tptp.pname)) % 0.60/0.84 (define @t478 () (@var "A_29" (-> tptp.pname Bool))) % 0.60/0.84 (define @t479 () (@var "Y_1" tptp.pname)) % 0.60/0.84 (define @t480 () (@var "X_12" tptp.x_a)) % 0.60/0.84 (define @t481 () (@var "A_29" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t482 () (@var "Y_1" tptp.x_a)) % 0.60/0.84 (define @t483 () (@var "B_22" (-> tptp.nat Bool))) % 0.60/0.84 (define @t484 () (@var "A_28" (-> tptp.nat Bool))) % 0.60/0.84 (define @t485 () (@var "X_11" tptp.nat)) % 0.60/0.84 (define @t486 () (_ tptp.insert_nat @t485)) % 0.60/0.84 (define @t487 () (_ tptp.member_nat @t485)) % 0.60/0.84 (define @t488 () (@var "B_22" (-> tptp.pname Bool))) % 0.60/0.84 (define @t489 () (@var "A_28" (-> tptp.pname Bool))) % 0.60/0.84 (define @t490 () (@var "X_11" tptp.pname)) % 0.60/0.84 (define @t491 () (_ tptp.insert_pname @t490)) % 0.60/0.84 (define @t492 () (_ tptp.member_pname @t490)) % 0.60/0.84 (define @t493 () (@var "B_22" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t494 () (@var "A_28" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t495 () (@var "X_11" tptp.x_a)) % 0.60/0.84 (define @t496 () (_ tptp.insert_a @t495)) % 0.60/0.84 (define @t497 () (_ tptp.member_a @t495)) % 0.60/0.84 (define @t498 () (@var "B_20" (-> tptp.nat Bool))) % 0.60/0.84 (define @t499 () (@var "B_21" tptp.nat)) % 0.60/0.84 (define @t500 () (@var "A_27" tptp.nat)) % 0.60/0.84 (define @t501 () (_ tptp.member_nat @t500)) % 0.60/0.84 (define @t502 () (@var "B_20" (-> tptp.pname Bool))) % 0.60/0.84 (define @t503 () (@var "B_21" tptp.pname)) % 0.60/0.84 (define @t504 () (@var "A_27" tptp.pname)) % 0.60/0.84 (define @t505 () (_ tptp.member_pname @t504)) % 0.60/0.84 (define @t506 () (@var "B_20" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t507 () (@var "B_21" tptp.x_a)) % 0.60/0.84 (define @t508 () (@var "A_27" tptp.x_a)) % 0.60/0.84 (define @t509 () (_ tptp.member_a @t508)) % 0.60/0.84 (define @t510 () (@var "A_25" (-> tptp.nat Bool))) % 0.60/0.84 (define @t511 () (@var "A_26" tptp.nat)) % 0.60/0.84 (define @t512 () (@var "A_25" (-> tptp.pname Bool))) % 0.60/0.84 (define @t513 () (@var "A_26" tptp.pname)) % 0.60/0.84 (define @t514 () (@var "A_25" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t515 () (@var "A_26" tptp.x_a)) % 0.60/0.84 (define @t516 () (@var "A_24" (-> tptp.nat Bool))) % 0.60/0.84 (define @t517 () (@var "A_24" (-> tptp.pname Bool))) % 0.60/0.84 (define @t518 () (@var "A_24" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t519 () (@var "A_23" (-> tptp.nat Bool))) % 0.60/0.84 (define @t520 () (@var "B_19" (-> tptp.nat Bool))) % 0.60/0.84 (define @t521 () (@var "A_23" (-> tptp.pname Bool))) % 0.60/0.84 (define @t522 () (@var "B_19" (-> tptp.pname Bool))) % 0.60/0.84 (define @t523 () (@var "A_23" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t524 () (@var "B_19" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t525 () (@var "B_18" (-> tptp.nat Bool))) % 0.60/0.84 (define @t526 () (@var "A_22" (-> tptp.nat Bool))) % 0.60/0.84 (define @t527 () (@var "B_18" (-> tptp.pname Bool))) % 0.60/0.84 (define @t528 () (@var "A_22" (-> tptp.pname Bool))) % 0.60/0.84 (define @t529 () (@var "B_18" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t530 () (@var "A_22" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t531 () (@var "A_21" (-> tptp.nat Bool))) % 0.60/0.84 (define @t532 () (@var "B_17" (-> tptp.nat Bool))) % 0.60/0.84 (define @t533 () (@var "A_21" (-> tptp.pname Bool))) % 0.60/0.84 (define @t534 () (@var "B_17" (-> tptp.pname Bool))) % 0.60/0.84 (define @t535 () (@var "A_21" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t536 () (@var "B_17" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t537 () (@var "B_16" (-> tptp.nat Bool))) % 0.60/0.84 (define @t538 () (@var "X_10" tptp.nat)) % 0.60/0.84 (define @t539 () (_ tptp.member_nat @t538)) % 0.60/0.84 (define @t540 () (@var "A_20" (-> tptp.nat Bool))) % 0.60/0.84 (define @t541 () (@var "B_16" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t542 () (@var "X_10" tptp.x_a)) % 0.60/0.84 (define @t543 () (_ tptp.member_a @t542)) % 0.60/0.84 (define @t544 () (@var "A_20" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t545 () (@var "B_16" (-> tptp.pname Bool))) % 0.60/0.84 (define @t546 () (@var "X_10" tptp.pname)) % 0.60/0.84 (define @t547 () (_ tptp.member_pname @t546)) % 0.60/0.84 (define @t548 () (@var "A_20" (-> tptp.pname Bool))) % 0.60/0.84 (define @t549 () (@var "B_15" (-> tptp.nat Bool))) % 0.60/0.84 (define @t550 () (@var "X_9" tptp.nat)) % 0.60/0.84 (define @t551 () (_ tptp.member_nat @t550)) % 0.60/0.84 (define @t552 () (@var "A_19" (-> tptp.nat Bool))) % 0.60/0.84 (define @t553 () (@var "B_15" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t554 () (@var "X_9" tptp.x_a)) % 0.60/0.84 (define @t555 () (_ tptp.member_a @t554)) % 0.60/0.84 (define @t556 () (@var "A_19" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t557 () (@var "B_15" (-> tptp.pname Bool))) % 0.60/0.84 (define @t558 () (@var "X_9" tptp.pname)) % 0.60/0.84 (define @t559 () (_ tptp.member_pname @t558)) % 0.60/0.84 (define @t560 () (@var "A_19" (-> tptp.pname Bool))) % 0.60/0.84 (define @t561 () (@var "B_14" (-> tptp.nat Bool))) % 0.60/0.84 (define @t562 () (@var "X_8" tptp.nat)) % 0.60/0.84 (define @t563 () (_ tptp.member_nat @t562)) % 0.60/0.84 (define @t564 () (@var "A_18" (-> tptp.nat Bool))) % 0.60/0.84 (define @t565 () (@var "B_14" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t566 () (@var "X_8" tptp.x_a)) % 0.60/0.84 (define @t567 () (_ tptp.member_a @t566)) % 0.60/0.84 (define @t568 () (@var "A_18" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t569 () (@var "B_14" (-> tptp.pname Bool))) % 0.60/0.84 (define @t570 () (@var "X_8" tptp.pname)) % 0.60/0.84 (define @t571 () (_ tptp.member_pname @t570)) % 0.60/0.84 (define @t572 () (@var "A_18" (-> tptp.pname Bool))) % 0.60/0.84 (define @t573 () (@var "C_1" (-> tptp.nat Bool))) % 0.60/0.84 (define @t574 () (@var "A_17" (-> tptp.nat Bool))) % 0.60/0.84 (define @t575 () (_ tptp.ord_less_eq_nat_o @t574)) % 0.60/0.84 (define @t576 () (@var "B_13" (-> tptp.nat Bool))) % 0.60/0.84 (define @t577 () (@var "C_1" (-> tptp.pname Bool))) % 0.60/0.84 (define @t578 () (@var "A_17" (-> tptp.pname Bool))) % 0.60/0.84 (define @t579 () (_ tptp.ord_less_eq_pname_o @t578)) % 0.60/0.84 (define @t580 () (@var "B_13" (-> tptp.pname Bool))) % 0.60/0.84 (define @t581 () (@var "C_1" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t582 () (@var "A_17" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t583 () (_ tptp.ord_less_eq_a_o @t582)) % 0.60/0.84 (define @t584 () (@var "B_13" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t585 () (@var "A_16" (-> tptp.nat Bool))) % 0.60/0.84 (define @t586 () (@var "B_12" (-> tptp.nat Bool))) % 0.60/0.84 (define @t587 () (@var "A_16" (-> tptp.pname Bool))) % 0.60/0.84 (define @t588 () (@var "B_12" (-> tptp.pname Bool))) % 0.60/0.84 (define @t589 () (@var "A_16" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t590 () (@var "B_12" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t591 () (@var "X_7" tptp.nat)) % 0.60/0.84 (define @t592 () (@var "A_15" (-> tptp.nat Bool))) % 0.60/0.84 (define @t593 () (@var "X_7" tptp.x_a)) % 0.60/0.84 (define @t594 () (@var "A_15" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t595 () (@var "X_7" tptp.pname)) % 0.60/0.84 (define @t596 () (@var "A_15" (-> tptp.pname Bool))) % 0.60/0.84 (define @t597 () (@var "P_1" (-> tptp.pname Bool))) % 0.60/0.84 (define @t598 () (@var "P_1" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t599 () (@var "P_1" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t600 () (@var "P_1" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t601 () (@var "P_1" (-> tptp.nat Bool))) % 0.60/0.84 (define @t602 () (@var "F_8" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t603 () (_ @t602 @t233)) % 0.60/0.84 (define @t604 () (@var "Z" tptp.x_a)) % 0.60/0.84 (define @t605 () (= @t604 @t603)) % 0.60/0.84 (define @t606 () (@var "A_14" (-> tptp.pname Bool))) % 0.60/0.84 (define @t607 () (_ @t350 @t606)) % 0.60/0.84 (define @t608 () (and @t607 @t605)) % 0.60/0.84 (define @t609 () (exists @t236 @t608)) % 0.60/0.84 (define @t610 () (_ (_ tptp.image_pname_a @t602) @t606)) % 0.60/0.84 (define @t611 () (_ (_ tptp.member_a @t604) @t610)) % 0.60/0.84 (define @t612 () (= @t611 @t609)) % 0.60/0.84 (define @t613 () (@list @t604 @t602 @t606)) % 0.60/0.84 (define @t614 () (forall @t613 @t612)) % 0.60/0.84 (define @t615 () (@var "A_13" (-> tptp.pname Bool))) % 0.60/0.84 (define @t616 () (@var "F_7" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t617 () (@var "X_6" tptp.pname)) % 0.60/0.84 (define @t618 () (@var "A_12" (-> tptp.pname Bool))) % 0.60/0.84 (define @t619 () (@var "F_6" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t620 () (@var "B_11" tptp.x_a)) % 0.60/0.84 (define @t621 () (@var "X_5" tptp.pname)) % 0.60/0.84 (define @t622 () (@var "Xa" (-> tptp.nat Bool))) % 0.60/0.84 (define @t623 () (@var "Y" tptp.nat)) % 0.60/0.84 (define @t624 () (@var "Xa" (-> tptp.pname Bool))) % 0.60/0.84 (define @t625 () (@var "Y" tptp.pname)) % 0.60/0.84 (define @t626 () (@var "Xa" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t627 () (@var "Y" tptp.x_a)) % 0.60/0.84 (define @t628 () (@var "Xa" (-> (-> tptp.nat Bool) Bool))) % 0.60/0.84 (define @t629 () (@var "Y" (-> tptp.nat Bool))) % 0.60/0.84 (define @t630 () (@var "Xa" (-> (-> tptp.pname Bool) Bool))) % 0.60/0.84 (define @t631 () (@var "Y" (-> tptp.pname Bool))) % 0.60/0.84 (define @t632 () (@var "Xa" (-> (-> tptp.x_a Bool) Bool))) % 0.60/0.84 (define @t633 () (@var "Y" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t634 () (@var "B_10" (-> tptp.nat Bool))) % 0.60/0.84 (define @t635 () (@var "A_11" tptp.nat)) % 0.60/0.84 (define @t636 () (@var "B_10" (-> tptp.pname Bool))) % 0.60/0.84 (define @t637 () (@var "A_11" tptp.pname)) % 0.60/0.84 (define @t638 () (@var "B_10" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t639 () (@var "A_11" tptp.x_a)) % 0.60/0.84 (define @t640 () (@var "B_9" (-> tptp.nat Bool))) % 0.60/0.84 (define @t641 () (@var "A_10" (-> tptp.nat Bool))) % 0.60/0.84 (define @t642 () (@var "X_4" tptp.nat)) % 0.60/0.84 (define @t643 () (@var "B_9" (-> tptp.pname Bool))) % 0.60/0.84 (define @t644 () (@var "A_10" (-> tptp.pname Bool))) % 0.60/0.84 (define @t645 () (@var "X_4" tptp.pname)) % 0.60/0.84 (define @t646 () (@var "B_9" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t647 () (@var "A_10" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t648 () (_ (_ tptp.ord_less_eq_a_o @t647) @t646)) % 0.60/0.84 (define @t649 () (@var "X_4" tptp.x_a)) % 0.60/0.84 (define @t650 () (_ (_ tptp.member_a @t649) @t646)) % 0.60/0.84 (define @t651 () (and @t650 @t648)) % 0.60/0.84 (define @t652 () (_ (_ tptp.insert_a @t649) @t647)) % 0.60/0.84 (define @t653 () (_ (_ tptp.ord_less_eq_a_o @t652) @t646)) % 0.60/0.84 (define @t654 () (= @t653 @t651)) % 0.60/0.84 (define @t655 () (forall (@list @t649 @t647 @t646) @t654)) % 0.60/0.84 (define @t656 () (@var "B_8" (-> tptp.nat Bool))) % 0.60/0.84 (define @t657 () (@var "A_9" (-> tptp.nat Bool))) % 0.60/0.84 (define @t658 () (_ tptp.ord_less_eq_nat_o @t657)) % 0.60/0.84 (define @t659 () (@var "X_3" tptp.nat)) % 0.60/0.84 (define @t660 () (@var "B_8" (-> tptp.pname Bool))) % 0.60/0.84 (define @t661 () (@var "A_9" (-> tptp.pname Bool))) % 0.60/0.84 (define @t662 () (_ tptp.ord_less_eq_pname_o @t661)) % 0.60/0.84 (define @t663 () (@var "X_3" tptp.pname)) % 0.60/0.84 (define @t664 () (@var "B_8" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t665 () (@var "A_9" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t666 () (_ tptp.ord_less_eq_a_o @t665)) % 0.60/0.84 (define @t667 () (@var "X_3" tptp.x_a)) % 0.60/0.84 (define @t668 () (@var "B_6" (-> tptp.nat Bool))) % 0.60/0.84 (define @t669 () (@var "B_7" tptp.nat)) % 0.60/0.84 (define @t670 () (@var "A_8" (-> tptp.nat Bool))) % 0.60/0.84 (define @t671 () (_ tptp.ord_less_eq_nat_o @t670)) % 0.60/0.84 (define @t672 () (@var "B_6" (-> tptp.pname Bool))) % 0.60/0.84 (define @t673 () (@var "B_7" tptp.pname)) % 0.60/0.84 (define @t674 () (@var "A_8" (-> tptp.pname Bool))) % 0.60/0.84 (define @t675 () (_ tptp.ord_less_eq_pname_o @t674)) % 0.60/0.84 (define @t676 () (@var "B_6" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t677 () (@var "B_7" tptp.x_a)) % 0.60/0.84 (define @t678 () (@var "A_8" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t679 () (_ tptp.ord_less_eq_a_o @t678)) % 0.60/0.84 (define @t680 () (@var "D" (-> tptp.nat Bool))) % 0.60/0.84 (define @t681 () (@var "A_7" tptp.nat)) % 0.60/0.84 (define @t682 () (_ tptp.insert_nat @t681)) % 0.60/0.84 (define @t683 () (@var "C" (-> tptp.nat Bool))) % 0.60/0.84 (define @t684 () (@var "D" (-> tptp.pname Bool))) % 0.60/0.84 (define @t685 () (@var "A_7" tptp.pname)) % 0.60/0.84 (define @t686 () (_ tptp.insert_pname @t685)) % 0.60/0.84 (define @t687 () (@var "C" (-> tptp.pname Bool))) % 0.60/0.84 (define @t688 () (@var "D" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t689 () (@var "A_7" tptp.x_a)) % 0.60/0.84 (define @t690 () (_ tptp.insert_a @t689)) % 0.60/0.84 (define @t691 () (@var "C" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t692 () (@var "B_5" (-> tptp.pname Bool))) % 0.60/0.84 (define @t693 () (@var "F_5" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t694 () (_ tptp.image_pname_a @t693)) % 0.60/0.84 (define @t695 () (@var "A_6" tptp.pname)) % 0.60/0.84 (define @t696 () (@var "A_5" (-> tptp.pname Bool))) % 0.60/0.84 (define @t697 () (@var "F_4" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t698 () (_ (_ tptp.image_pname_a @t697) @t696)) % 0.60/0.84 (define @t699 () (@var "X_2" tptp.pname)) % 0.60/0.84 (define @t700 () (@var "AA" (-> tptp.pname Bool))) % 0.60/0.84 (define @t701 () (@var "F_3" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t702 () (_ tptp.image_pname_a @t701)) % 0.60/0.84 (define @t703 () (@var "B_4" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t704 () (@var "A_4" (-> tptp.pname Bool))) % 0.60/0.84 (define @t705 () (@var "B_3" (-> tptp.pname Bool))) % 0.60/0.84 (define @t706 () (@var "F_2" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t707 () (_ tptp.image_pname_a @t706)) % 0.60/0.84 (define @t708 () (@var "A_3" (-> tptp.pname Bool))) % 0.60/0.84 (define @t709 () (@var "A_2" (-> tptp.pname Bool))) % 0.60/0.84 (define @t710 () (@var "F_1" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t711 () (@var "B_2" tptp.x_a)) % 0.60/0.84 (define @t712 () (@var "B_1" (-> tptp.nat Bool))) % 0.60/0.84 (define @t713 () (@var "A_1" (-> tptp.nat Bool))) % 0.60/0.84 (define @t714 () (@var "B_1" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t715 () (@var "A_1" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t716 () (@var "B_1" (-> tptp.pname Bool))) % 0.60/0.84 (define @t717 () (@var "A_1" (-> tptp.pname Bool))) % 0.60/0.84 (define @t718 () (@var "P" (-> tptp.nat Bool))) % 0.60/0.84 (define @t719 () (@var "M" tptp.nat)) % 0.60/0.84 (define @t720 () (@var "M_1" tptp.nat)) % 0.60/0.84 (define @t721 () (@list @t719)) % 0.60/0.84 (define @t722 () (@var "B" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t723 () (@var "A" (-> tptp.pname Bool))) % 0.60/0.84 (define @t724 () (@var "F" (-> tptp.pname tptp.x_a))) % 0.60/0.84 (define @t725 () (@var "X_1" (-> tptp.nat Bool))) % 0.60/0.84 (define @t726 () (@var "X_1" (-> tptp.pname Bool))) % 0.60/0.84 (define @t727 () (@var "X_1" tptp.nat)) % 0.60/0.84 (define @t728 () (@var "X_1" (-> tptp.x_a Bool))) % 0.60/0.84 (define @t729 () (@var "N" (-> tptp.nat Bool))) % 0.60/0.84 (define @t730 () (_ (_ tptp.image_pname_a tptp.mgt_call) tptp.u)) % 0.60/0.84 (define @t731 () (_ (_ tptp.ord_less_eq_a_o tptp.g) @t730)) % 0.60/0.84 (define @t732 () (_ tptp.finite_card_a @t730)) % 0.60/0.84 (define @t733 () (_ tptp.suc tptp.na)) % 0.60/0.84 (define @t734 () (_ (_ tptp.member_pname tptp.pn) tptp.u)) % 0.60/0.84 (define @t735 () (_ tptp.mgt_call tptp.pn)) % 0.60/0.84 (define @t736 () (_ (_ tptp.insert_a @t735) tptp.g)) % 0.60/0.84 (define @t737 () (_ (_ tptp.ord_less_eq_a_o @t736) @t730)) % 0.60/0.84 (define @t738 () (not @t737)) % 0.60/0.84 (define @t739 () (tptp.mgt_call tptp.pn)) % 0.60/0.84 (define @t740 () (_ (_ tptp.insert_a @t739) tptp.g)) % 0.60/0.84 (define @t741 () (tptp.ord_less_eq_a_o @t740 @t730)) % 0.60/0.84 (define @t742 () (tptp.member_a @t604 @t610)) % 0.60/0.84 (define @t743 () (_ @t602 @t233)) % 0.60/0.84 (define @t744 () (tptp.member_pname @t233 @t606)) % 0.60/0.84 (define @t745 () (not (forall @t236 (or (not @t744) (not (= @t604 @t743)))))) % 0.60/0.84 (define @t746 () (= @t611 @t745)) % 0.60/0.84 (define @t747 () (not @t605)) % 0.60/0.84 (define @t748 () (not @t607)) % 0.60/0.84 (define @t749 () (or @t748 @t747)) % 0.60/0.84 (define @t750 () (forall @t236 (not @t608))) % 0.60/0.84 (define @t751 () (not @t750)) % 0.60/0.84 (define @t752 () (tptp.member_pname tptp.pn tptp.u)) % 0.60/0.84 (define @t753 () (not @t752)) % 0.60/0.84 (define @t754 () (not (= @t739 @t739))) % 0.60/0.84 (define @t755 () (or @t753 @t754)) % 0.60/0.84 (define @t756 () (forall @t236 (or (not (tptp.member_pname @t233 tptp.u)) (not (= @t739 (tptp.mgt_call @t233)))))) % 0.60/0.84 (define @t757 () (not @t756)) % 0.60/0.84 (define @t758 () (tptp.member_a @t739 @t730)) % 0.60/0.84 (define @t759 () (= @t757 @t758)) % 0.60/0.84 (define @t760 () (not @t759)) % 0.60/0.84 (define @t761 () (tptp.ord_less_eq_a_o tptp.g @t730)) % 0.60/0.84 (define @t762 () (and @t758 @t761)) % 0.60/0.84 (define @t763 () (tptp.ord_less_eq_a_o @t647 @t646)) % 0.60/0.84 (define @t764 () (tptp.member_a @t649 @t646)) % 0.60/0.84 (define @t765 () (tptp.ord_less_eq_a_o @t652 @t646)) % 0.60/0.84 (define @t766 () (= @t741 @t762)) % 0.60/0.84 (assume @p1 (forall (@list @t1 @t2) (=> (_ (_ tptp.ord_less_eq_a_o @t1) @t2) (_ (_ tptp.p @t2) @t1)))) % 0.60/0.84 (assume @p2 (forall (@list @t3) (=> (_ tptp.finite_finite_nat @t3) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda (@list @t4) (_ (_ tptp.ord_less_eq_nat_o @t4) @t3))))))) % 0.60/0.84 (assume @p3 (forall (@list @t5) (=> (_ tptp.finite_finite_pname @t5) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda (@list @t6) (_ (_ tptp.ord_less_eq_pname_o @t6) @t5))))))) % 0.60/0.84 (assume @p4 (forall (@list @t7) (=> (_ tptp.finite_finite_a @t7) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda (@list @t8) (_ (_ tptp.ord_less_eq_a_o @t8) @t7))))))) % 0.60/0.84 (assume @p5 (forall (@list @t9) (=> (_ tptp.finite1676163439at_o_o @t9) (_ tptp.finite1237261006_o_o_o (_ tptp.collect_nat_o_o_o (lambda (@list @t10) (_ (_ tptp.ord_le124054423_o_o_o @t10) @t9))))))) % 0.60/0.84 (assume @p6 (forall (@list @t11) (=> (_ tptp.finite1066544169me_o_o @t11) (_ tptp.finite1648353812_o_o_o (_ tptp.collect_pname_o_o_o (lambda (@list @t12) (_ (_ tptp.ord_le1828183645_o_o_o @t12) @t11))))))) % 0.60/0.84 (assume @p7 (forall (@list @t13) (=> (_ tptp.finite_finite_a_o_o @t13) (_ tptp.finite1302365357_o_o_o (_ tptp.collect_a_o_o_o (lambda (@list @t14) (_ (_ tptp.ord_less_eq_a_o_o_o @t14) @t13))))))) % 0.60/0.84 (assume @p8 (forall (@list @t15) (=> (_ tptp.finite_finite_a_o @t15) (_ tptp.finite_finite_a_o_o (_ tptp.collect_a_o_o (lambda (@list @t16) (_ (_ tptp.ord_less_eq_a_o_o @t16) @t15))))))) % 0.60/0.84 (assume @p9 (forall (@list @t17) (=> (_ tptp.finite297249702name_o @t17) (_ tptp.finite1066544169me_o_o (_ tptp.collect_pname_o_o (lambda (@list @t18) (_ (_ tptp.ord_le1205211808me_o_o @t18) @t17))))))) % 0.60/0.84 (assume @p10 (forall (@list @t19) (=> (_ tptp.finite_finite_nat_o @t19) (_ tptp.finite1676163439at_o_o (_ tptp.collect_nat_o_o (lambda (@list @t20) (_ (_ tptp.ord_less_eq_nat_o_o @t20) @t19))))))) % 0.60/0.84 (assume @p11 (forall (@list @t22 @t21) (=> @t23 (_ tptp.finite_finite_a (_ (_ tptp.image_pname_a @t22) @t21))))) % 0.60/0.84 (assume @p12 (forall (@list @t25 @t24) (=> @t26 (_ tptp.finite_finite_nat (_ (_ tptp.image_nat_o_o_nat @t25) @t24))))) % 0.60/0.84 (assume @p13 (forall (@list @t28 @t27) (=> @t29 (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_o_o_nat @t28) @t27))))) % 0.60/0.84 (assume @p14 (forall (@list @t31 @t30) (=> @t32 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_o_o_nat @t31) @t30))))) % 0.60/0.84 (assume @p15 (forall (@list @t34 @t33) (=> @t35 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_o_nat @t34) @t33))))) % 0.60/0.84 (assume @p16 (forall (@list @t37 @t36) (=> @t38 (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_o_nat @t37) @t36))))) % 0.60/0.84 (assume @p17 (forall (@list @t40 @t39) (=> @t41 (_ tptp.finite_finite_nat (_ (_ tptp.image_nat_o_nat @t40) @t39))))) % 0.60/0.84 (assume @p18 (forall (@list @t43 @t42) (=> @t44 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_nat @t43) @t42))))) % 0.60/0.84 (assume @p19 (forall (@list @t45 @t24) (=> @t26 (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_o_o_pname @t45) @t24))))) % 0.60/0.84 (assume @p20 (forall (@list @t46 @t27) (=> @t29 (_ tptp.finite_finite_pname (_ (_ tptp.image_471733107_pname @t46) @t27))))) % 0.60/0.84 (assume @p21 (forall (@list @t47 @t30) (=> @t32 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_o_o_pname @t47) @t30))))) % 0.60/0.84 (assume @p22 (forall (@list @t48 @t33) (=> @t35 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_o_pname @t48) @t33))))) % 0.60/0.84 (assume @p23 (forall (@list @t49 @t36) (=> @t38 (_ tptp.finite_finite_pname (_ (_ tptp.image_pname_o_pname @t49) @t36))))) % 0.60/0.84 (assume @p24 (forall (@list @t50 @t39) (=> @t41 (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_o_pname @t50) @t39))))) % 0.60/0.84 (assume @p25 (forall (@list @t51 @t42) (=> @t44 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_pname @t51) @t42))))) % 0.60/0.84 (assume @p26 (forall (@list @t53 @t52) (=> @t54 (_ tptp.finite1676163439at_o_o (_ (_ tptp.image_nat_nat_o_o @t53) @t52))))) % 0.60/0.84 (assume @p27 (forall (@list @t55 @t52) (=> @t54 (_ tptp.finite1066544169me_o_o (_ (_ tptp.image_nat_pname_o_o @t55) @t52))))) % 0.60/0.84 (assume @p28 (forall (@list @t56 @t52) (=> @t54 (_ tptp.finite_finite_a_o_o (_ (_ tptp.image_nat_a_o_o @t56) @t52))))) % 0.60/0.84 (assume @p29 (forall (@list @t57 @t52) (=> @t54 (_ tptp.finite_finite_a_o (_ (_ tptp.image_nat_a_o @t57) @t52))))) % 0.60/0.84 (assume @p30 (forall (@list @t58 @t52) (=> @t54 (_ tptp.finite297249702name_o (_ (_ tptp.image_nat_pname_o @t58) @t52))))) % 0.60/0.84 (assume @p31 (forall (@list @t59 @t52) (=> @t54 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_nat_nat_o @t59) @t52))))) % 0.60/0.84 (assume @p32 (forall (@list @t60 @t52) (=> @t54 (_ tptp.finite_finite_a (_ (_ tptp.image_nat_a @t60) @t52))))) % 0.60/0.84 (assume @p33 (forall (@list @t61 @t21) (=> @t23 (_ tptp.finite1676163439at_o_o (_ (_ tptp.image_pname_nat_o_o @t61) @t21))))) % 0.60/0.84 (assume @p34 (forall (@list @t62 @t21) (=> @t23 (_ tptp.finite1066544169me_o_o (_ (_ tptp.image_504089495me_o_o @t62) @t21))))) % 0.60/0.84 (assume @p35 (forall (@list @t63 @t21) (=> @t23 (_ tptp.finite_finite_a_o_o (_ (_ tptp.image_pname_a_o_o @t63) @t21))))) % 0.60/0.84 (assume @p36 (forall (@list @t64 @t21) (=> @t23 (_ tptp.finite_finite_a_o (_ (_ tptp.image_pname_a_o @t64) @t21))))) % 0.60/0.84 (assume @p37 (forall (@list @t65 @t21) (=> @t23 (_ tptp.finite297249702name_o (_ (_ tptp.image_pname_pname_o @t65) @t21))))) % 0.60/0.84 (assume @p38 (forall (@list @t66 @t21) (=> @t23 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_pname_nat_o @t66) @t21))))) % 0.60/0.84 (assume @p39 (forall (@list @t67 @t21) (=> @t23 (_ tptp.finite_finite_pname (_ (_ tptp.image_pname_pname @t67) @t21))))) % 0.60/0.84 (assume @p40 (forall (@list @t68 @t42) (=> @t44 (_ tptp.finite_finite_a (_ (_ tptp.image_a_a @t68) @t42))))) % 0.60/0.84 (assume @p41 (forall (@list @t69 @t39) (=> @t41 (_ tptp.finite_finite_a (_ (_ tptp.image_nat_o_a @t69) @t39))))) % 0.60/0.84 (assume @p42 (forall (@list @t70 @t36) (=> @t38 (_ tptp.finite_finite_a (_ (_ tptp.image_pname_o_a @t70) @t36))))) % 0.60/0.84 (assume @p43 (forall (@list @t71 @t33) (=> @t35 (_ tptp.finite_finite_a (_ (_ tptp.image_a_o_a @t71) @t33))))) % 0.60/0.84 (assume @p44 (forall (@list @t72 @t21) (=> @t23 (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_nat @t72) @t21))))) % 0.60/0.84 (assume @p45 (forall (@list @t73 @t52) (=> @t54 (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_pname @t73) @t52))))) % 0.60/0.84 (assume @p46 (forall (@list @t75 @t74) (=> (_ tptp.finite_finite_a @t74) (_ tptp.finite_finite_a (_ (_ tptp.insert_a @t75) @t74))))) % 0.60/0.84 (assume @p47 (forall (@list @t77 @t76) (=> (_ tptp.finite_finite_nat @t76) (_ tptp.finite_finite_nat (_ (_ tptp.insert_nat @t77) @t76))))) % 0.60/0.84 (assume @p48 (forall (@list @t79 @t78) (=> (_ tptp.finite_finite_pname @t78) (_ tptp.finite_finite_pname (_ (_ tptp.insert_pname @t79) @t78))))) % 0.60/0.84 (assume @p49 (forall (@list @t81 @t80) (=> (_ tptp.finite1676163439at_o_o @t80) (_ tptp.finite1676163439at_o_o (_ (_ tptp.insert_nat_o_o @t81) @t80))))) % 0.60/0.84 (assume @p50 (forall (@list @t83 @t82) (=> (_ tptp.finite1066544169me_o_o @t82) (_ tptp.finite1066544169me_o_o (_ (_ tptp.insert_pname_o_o @t83) @t82))))) % 0.60/0.84 (assume @p51 (forall (@list @t85 @t84) (=> (_ tptp.finite_finite_a_o_o @t84) (_ tptp.finite_finite_a_o_o (_ (_ tptp.insert_a_o_o @t85) @t84))))) % 0.60/0.84 (assume @p52 (forall (@list @t87 @t86) (=> (_ tptp.finite_finite_a_o @t86) (_ tptp.finite_finite_a_o (_ (_ tptp.insert_a_o @t87) @t86))))) % 0.60/0.84 (assume @p53 (forall (@list @t89 @t88) (=> (_ tptp.finite297249702name_o @t88) (_ tptp.finite297249702name_o (_ (_ tptp.insert_pname_o @t89) @t88))))) % 0.60/0.84 (assume @p54 (forall (@list @t91 @t90) (=> (_ tptp.finite_finite_nat_o @t90) (_ tptp.finite_finite_nat_o (_ (_ tptp.insert_nat_o @t91) @t90))))) % 0.60/0.84 (assume @p55 (forall (@list @t94 @t92) (=> @t95 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_pname_nat @t94) @t92))) @t93)))) % 0.60/0.84 (assume @p56 (forall (@list @t98 @t96) (=> @t99 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_a_nat @t98) @t96))) @t97)))) % 0.60/0.84 (assume @p57 (forall (@list @t102 @t100) (=> @t103 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_nat_o_nat @t102) @t100))) @t101)))) % 0.60/0.84 (assume @p58 (forall (@list @t106 @t104) (=> @t107 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_pname_o_nat @t106) @t104))) @t105)))) % 0.60/0.84 (assume @p59 (forall (@list @t110 @t108) (=> @t111 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_a_o_nat @t110) @t108))) @t109)))) % 0.60/0.84 (assume @p60 (forall (@list @t112 @t96) (=> @t99 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_a_pname @t112) @t96))) @t97)))) % 0.60/0.84 (assume @p61 (forall (@list @t115 @t113) (=> @t116 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_nat_pname @t115) @t113))) @t114)))) % 0.60/0.84 (assume @p62 (forall (@list @t117 @t92) (=> @t95 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_a @t117) @t92))) @t93)))) % 0.60/0.84 (assume @p63 (forall (@list @t119 @t118) (=> (_ tptp.finite1676163439at_o_o @t118) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_nat_o_o_a @t119) @t118))) (_ tptp.finite_card_nat_o_o @t118))))) % 0.60/0.84 (assume @p64 (forall (@list @t121 @t120) (=> (_ tptp.finite1066544169me_o_o @t120) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_o_o_a @t121) @t120))) (_ tptp.finite221134632me_o_o @t120))))) % 0.60/0.84 (assume @p65 (forall (@list @t123 @t122) (=> (_ tptp.finite_finite_a_o_o @t122) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_o_o_a @t123) @t122))) (_ tptp.finite_card_a_o_o @t122))))) % 0.60/0.84 (assume @p66 (forall (@list @t124 @t108) (=> @t111 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_o_a @t124) @t108))) @t109)))) % 0.60/0.84 (assume @p67 (forall (@list @t125 @t104) (=> @t107 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_o_a @t125) @t104))) @t105)))) % 0.60/0.84 (assume @p68 (forall (@list @t126 @t100) (=> @t103 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_nat_o_a @t126) @t100))) @t101)))) % 0.60/0.84 (assume @p69 (forall (@list @t127 @t96) (=> @t99 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_a @t127) @t96))) @t97)))) % 0.60/0.84 (assume @p70 (forall (@list @t128 @t92) (=> @t95 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_pname_pname @t128) @t92))) @t93)))) % 0.60/0.84 (assume @p71 (forall (@list @t129 @t92) (=> @t95 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o (_ (_ tptp.image_pname_nat_o @t129) @t92))) @t93)))) % 0.60/0.84 (assume @p72 (forall (@list @t130 @t92) (=> @t95 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o (_ (_ tptp.image_pname_pname_o @t130) @t92))) @t93)))) % 0.60/0.84 (assume @p73 (forall (@list @t131 @t92) (=> @t95 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o (_ (_ tptp.image_pname_a_o @t131) @t92))) @t93)))) % 0.60/0.84 (assume @p74 (forall (@list @t132 @t113) (=> @t116 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_nat_a @t132) @t113))) @t114)))) % 0.60/0.84 (assume @p75 (forall (@list @t133 @t113) (=> @t116 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o (_ (_ tptp.image_nat_nat_o @t133) @t113))) @t114)))) % 0.60/0.84 (assume @p76 (forall (@list @t134 @t113) (=> @t116 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o (_ (_ tptp.image_nat_pname_o @t134) @t113))) @t114)))) % 0.60/0.84 (assume @p77 (forall (@list @t135 @t113) (=> @t116 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o (_ (_ tptp.image_nat_a_o @t135) @t113))) @t114)))) % 0.60/0.84 (assume @p78 (forall (@list @t136 @t100) (=> @t103 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_nat_o_pname @t136) @t100))) @t101)))) % 0.60/0.84 (assume @p79 (forall (@list @t137 @t104) (=> @t107 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_pname_o_pname @t137) @t104))) @t105)))) % 0.60/0.84 (assume @p80 (forall (@list @t138 @t108) (=> @t111 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_a_o_pname @t138) @t108))) @t109)))) % 0.60/0.84 (assume @p81 (forall (@list @t140 @t139) (=> (_ tptp.finite_finite_nat_o @t139) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t140) @t139) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t140)) (_ tptp.finite_card_nat_o @t139)))))) % 0.60/0.84 (assume @p82 (forall (@list @t142 @t141) (=> (_ tptp.finite297249702name_o @t141) (=> (_ (_ tptp.ord_le1205211808me_o_o @t142) @t141) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t142)) (_ tptp.finite_card_pname_o @t141)))))) % 0.60/0.84 (assume @p83 (forall (@list @t144 @t143) (=> (_ tptp.finite_finite_a_o @t143) (=> (_ (_ tptp.ord_less_eq_a_o_o @t144) @t143) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t144)) (_ tptp.finite_card_a_o @t143)))))) % 0.60/0.84 (assume @p84 (forall (@list @t146 @t145) (=> (_ tptp.finite_finite_pname @t145) (=> (_ (_ tptp.ord_less_eq_pname_o @t146) @t145) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t146)) (_ tptp.finite_card_pname @t145)))))) % 0.60/0.84 (assume @p85 (forall (@list @t148 @t147) (=> (_ tptp.finite_finite_a @t147) (=> (_ (_ tptp.ord_less_eq_a_o @t148) @t147) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t148)) (_ tptp.finite_card_a @t147)))))) % 0.60/0.84 (assume @p86 (forall (@list @t150 @t149) (=> (_ tptp.finite_finite_nat @t149) (=> (_ (_ tptp.ord_less_eq_nat_o @t150) @t149) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t150)) (_ tptp.finite_card_nat @t149)))))) % 0.60/0.84 (assume @p87 (forall (@list @t152 @t151) (=> (_ tptp.finite_finite_nat_o @t151) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t152) @t151) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t151)) (_ tptp.finite_card_nat_o @t152)) (= @t152 @t151)))))) % 0.60/0.84 (assume @p88 (forall (@list @t154 @t153) (=> (_ tptp.finite297249702name_o @t153) (=> (_ (_ tptp.ord_le1205211808me_o_o @t154) @t153) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t153)) (_ tptp.finite_card_pname_o @t154)) (= @t154 @t153)))))) % 0.60/0.84 (assume @p89 (forall (@list @t156 @t155) (=> (_ tptp.finite_finite_a_o @t155) (=> (_ (_ tptp.ord_less_eq_a_o_o @t156) @t155) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t155)) (_ tptp.finite_card_a_o @t156)) (= @t156 @t155)))))) % 0.60/0.84 (assume @p90 (forall (@list @t158 @t157) (=> (_ tptp.finite_finite_pname @t157) (=> (_ (_ tptp.ord_less_eq_pname_o @t158) @t157) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t157)) (_ tptp.finite_card_pname @t158)) (= @t158 @t157)))))) % 0.60/0.84 (assume @p91 (forall (@list @t160 @t159) (=> (_ tptp.finite_finite_a @t159) (=> (_ (_ tptp.ord_less_eq_a_o @t160) @t159) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t159)) (_ tptp.finite_card_a @t160)) (= @t160 @t159)))))) % 0.60/0.84 (assume @p92 (forall (@list @t162 @t161) (=> (_ tptp.finite_finite_nat @t161) (=> (_ (_ tptp.ord_less_eq_nat_o @t162) @t161) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t161)) (_ tptp.finite_card_nat @t162)) (= @t162 @t161)))))) % 0.60/0.84 (assume @p93 (forall (@list @t164 @t163) (=> (_ tptp.finite_finite_nat_o @t163) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t163)) (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t164) @t163)))))) % 0.60/0.84 (assume @p94 (forall (@list @t166 @t165) (=> (_ tptp.finite297249702name_o @t165) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t165)) (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t166) @t165)))))) % 0.60/0.84 (assume @p95 (forall (@list @t168 @t167) (=> (_ tptp.finite_finite_a_o @t167) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t167)) (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t168) @t167)))))) % 0.60/0.84 (assume @p96 (forall (@list @t170 @t169) (=> (_ tptp.finite_finite_pname @t169) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t169)) (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t170) @t169)))))) % 0.60/0.84 (assume @p97 (forall (@list @t172 @t171) (=> (_ tptp.finite_finite_nat @t171) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t171)) (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t172) @t171)))))) % 0.60/0.84 (assume @p98 (forall (@list @t174 @t173) (=> (_ tptp.finite_finite_a @t173) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t173)) (_ tptp.finite_card_a (_ (_ tptp.insert_a @t174) @t173)))))) % 0.60/0.84 (assume @p99 (forall (@list @t177 @t175) (=> (_ tptp.finite_finite_nat_o @t175) (and (=> @t179 (= @t178 @t176)) (=> (not @t179) (= @t178 (_ tptp.suc @t176))))))) % 0.60/0.84 (assume @p100 (forall (@list @t182 @t180) (=> (_ tptp.finite297249702name_o @t180) (and (=> @t184 (= @t183 @t181)) (=> (not @t184) (= @t183 (_ tptp.suc @t181))))))) % 0.60/0.84 (assume @p101 (forall (@list @t187 @t185) (=> (_ tptp.finite_finite_a_o @t185) (and (=> @t189 (= @t188 @t186)) (=> (not @t189) (= @t188 (_ tptp.suc @t186))))))) % 0.60/0.84 (assume @p102 (forall (@list @t192 @t190) (=> (_ tptp.finite_finite_nat @t190) (and (=> @t194 (= @t193 @t191)) (=> (not @t194) (= @t193 (_ tptp.suc @t191))))))) % 0.60/0.84 (assume @p103 (forall (@list @t197 @t195) (=> (_ tptp.finite_finite_pname @t195) (and (=> @t199 (= @t198 @t196)) (=> (not @t199) (= @t198 (_ tptp.suc @t196))))))) % 0.60/0.84 (assume @p104 (forall (@list @t202 @t200) (=> (_ tptp.finite_finite_a @t200) (and (=> @t204 (= @t203 @t201)) (=> (not @t204) (= @t203 (_ tptp.suc @t201))))))) % 0.60/0.84 (assume @p105 (forall (@list @t206 @t205) (=> (_ tptp.finite_finite_nat_o @t205) (=> (not (_ (_ tptp.member_nat_o @t206) @t205)) (= (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t206) @t205)) (_ tptp.suc (_ tptp.finite_card_nat_o @t205))))))) % 0.60/0.84 (assume @p106 (forall (@list @t208 @t207) (=> (_ tptp.finite297249702name_o @t207) (=> (not (_ (_ tptp.member_pname_o @t208) @t207)) (= (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t208) @t207)) (_ tptp.suc (_ tptp.finite_card_pname_o @t207))))))) % 0.60/0.84 (assume @p107 (forall (@list @t210 @t209) (=> (_ tptp.finite_finite_a_o @t209) (=> (not (_ (_ tptp.member_a_o @t210) @t209)) (= (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t210) @t209)) (_ tptp.suc (_ tptp.finite_card_a_o @t209))))))) % 0.60/0.84 (assume @p108 (forall (@list @t212 @t211) (=> (_ tptp.finite_finite_nat @t211) (=> (not (_ (_ tptp.member_nat @t212) @t211)) (= (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t212) @t211)) (_ tptp.suc (_ tptp.finite_card_nat @t211))))))) % 0.60/0.84 (assume @p109 (forall (@list @t214 @t213) (=> (_ tptp.finite_finite_pname @t213) (=> (not (_ (_ tptp.member_pname @t214) @t213)) (= (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t214) @t213)) (_ tptp.suc (_ tptp.finite_card_pname @t213))))))) % 0.60/0.84 (assume @p110 (forall (@list @t216 @t215) (=> (_ tptp.finite_finite_a @t215) (=> (not (_ (_ tptp.member_a @t216) @t215)) (= (_ tptp.finite_card_a (_ (_ tptp.insert_a @t216) @t215)) (_ tptp.suc (_ tptp.finite_card_a @t215))))))) % 0.60/0.84 (assume @p111 (forall (@list @t218 @t219) (=> (or (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t219)) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t218))) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t220 (and (_ @t219 @t217) (_ @t218 @t217)))))))) % 0.60/0.84 (assume @p112 (forall (@list @t222 @t223) (=> (or (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t223)) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t222))) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t224 (and (_ @t223 @t221) (_ @t222 @t221)))))))) % 0.60/0.84 (assume @p113 (forall (@list @t226 @t227) (=> (or (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t227)) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t226))) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t228 (and (_ @t227 @t225) (_ @t226 @t225)))))))) % 0.60/0.84 (assume @p114 (forall (@list @t230 @t231) (=> (or (_ tptp.finite_finite_a (_ tptp.collect_a @t231)) (_ tptp.finite_finite_a (_ tptp.collect_a @t230))) (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t232 (and (_ @t231 @t229) (_ @t230 @t229)))))))) % 0.60/0.84 (assume @p115 (forall (@list @t234 @t235) (=> (or (_ tptp.finite_finite_pname (_ tptp.collect_pname @t235)) (_ tptp.finite_finite_pname (_ tptp.collect_pname @t234))) (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t236 (and (_ @t235 @t233) (_ @t234 @t233)))))))) % 0.60/0.84 (assume @p116 (forall (@list @t238 @t239) (=> (or (_ tptp.finite_finite_nat (_ tptp.collect_nat @t239)) (_ tptp.finite_finite_nat (_ tptp.collect_nat @t238))) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t240 (and (_ @t239 @t237) (_ @t238 @t237)))))))) % 0.60/0.84 (assume @p117 (forall @t250 (=> @t249 (= @t247 (_ tptp.suc @t244))))) % 0.60/0.84 (assume @p118 (forall (@list @t251) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t253 (_ (_ tptp.ord_less_eq_nat @t252) @t251)))))) % 0.60/0.84 (assume @p119 (forall @t256 (= (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda (@list @t255) (_ (_ tptp.ord_less_eq_nat @t255) @t241)))) @t254))) % 0.60/0.84 (assume @p120 (forall (@list @t258 @t257) (=> (= (_ tptp.suc @t258) (_ tptp.suc @t257)) (= @t258 @t257)))) % 0.60/0.84 (assume @p121 (forall (@list @t260 @t259) (= (= (_ tptp.suc @t260) (_ tptp.suc @t259)) (= @t260 @t259)))) % 0.60/0.84 (assume @p122 (forall @t256 (not (= @t254 @t241)))) % 0.60/0.84 (assume @p123 (forall @t256 (not (= @t241 @t254)))) % 0.60/0.84 (assume @p124 (forall @t264 (=> @t263 (=> @t249 @t261)))) % 0.60/0.84 (assume @p125 (forall (@list @t251 @t265 @t267) (=> (_ @t266 @t267) (=> (_ (_ tptp.ord_less_eq_nat @t267) @t251) (_ @t266 @t251))))) % 0.60/0.84 (assume @p126 (forall @t264 (=> @t261 @t263))) % 0.60/0.84 (assume @p127 (forall @t264 (or @t263 @t249))) % 0.60/0.84 (assume @p128 (forall @t256 (_ @t248 @t241))) % 0.60/0.84 (assume @p129 (forall (@list @t265 @t267 @t251) (= (_ (_ tptp.minus_minus_nat (_ @t268 @t267)) @t251) (_ (_ tptp.minus_minus_nat (_ @t268 @t251)) @t267)))) % 0.60/0.84 (assume @p130 (forall (@list @t270 @t269) (= (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t236 (or (_ @t270 @t233) (_ @t269 @t233))))) (and (_ tptp.finite_finite_pname (_ tptp.collect_pname @t270)) (_ tptp.finite_finite_pname (_ tptp.collect_pname @t269)))))) % 0.60/0.84 (assume @p131 (forall (@list @t272 @t271) (= (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t220 (or (_ @t272 @t217) (_ @t271 @t217))))) (and (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t272)) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t271)))))) % 0.60/0.84 (assume @p132 (forall (@list @t274 @t273) (= (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t224 (or (_ @t274 @t221) (_ @t273 @t221))))) (and (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t274)) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t273)))))) % 0.60/0.84 (assume @p133 (forall (@list @t276 @t275) (= (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t228 (or (_ @t276 @t225) (_ @t275 @t225))))) (and (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t276)) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t275)))))) % 0.60/0.84 (assume @p134 (forall (@list @t278 @t277) (= (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t240 (or (_ @t278 @t237) (_ @t277 @t237))))) (and (_ tptp.finite_finite_nat (_ tptp.collect_nat @t278)) (_ tptp.finite_finite_nat (_ tptp.collect_nat @t277)))))) % 0.60/0.84 (assume @p135 (forall (@list @t280 @t279) (= (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t232 (or (_ @t280 @t229) (_ @t279 @t229))))) (and (_ tptp.finite_finite_a (_ tptp.collect_a @t280)) (_ tptp.finite_finite_a (_ tptp.collect_a @t279)))))) % 0.60/0.84 (assume @p136 (forall (@list @t282 @t281) (= (_ tptp.finite_finite_nat (_ (_ tptp.insert_nat @t282) @t281)) (_ tptp.finite_finite_nat @t281)))) % 0.60/0.84 (assume @p137 (forall (@list @t284 @t283) (= (_ tptp.finite_finite_pname (_ (_ tptp.insert_pname @t284) @t283)) (_ tptp.finite_finite_pname @t283)))) % 0.60/0.84 (assume @p138 (forall (@list @t286 @t285) (= (_ tptp.finite_finite_a (_ (_ tptp.insert_a @t286) @t285)) (_ tptp.finite_finite_a @t285)))) % 0.60/0.84 (assume @p139 (forall (@list @t288 @t287) (= (_ tptp.finite_finite_nat_o (_ (_ tptp.insert_nat_o @t288) @t287)) (_ tptp.finite_finite_nat_o @t287)))) % 0.60/0.84 (assume @p140 (forall (@list @t290 @t289) (= (_ tptp.finite297249702name_o (_ (_ tptp.insert_pname_o @t290) @t289)) (_ tptp.finite297249702name_o @t289)))) % 0.60/0.84 (assume @p141 (forall (@list @t292 @t291) (= (_ tptp.finite_finite_a_o (_ (_ tptp.insert_a_o @t292) @t291)) (_ tptp.finite_finite_a_o @t291)))) % 0.60/0.84 (assume @p142 (forall (@list @t293 @t294) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t293) @t294) (=> (_ tptp.finite_finite_nat_o @t294) (_ tptp.finite_finite_nat_o @t293))))) % 0.60/0.84 (assume @p143 (forall (@list @t295 @t296) (=> (_ (_ tptp.ord_le1205211808me_o_o @t295) @t296) (=> (_ tptp.finite297249702name_o @t296) (_ tptp.finite297249702name_o @t295))))) % 0.60/0.84 (assume @p144 (forall (@list @t297 @t298) (=> (_ (_ tptp.ord_less_eq_a_o @t297) @t298) (=> (_ tptp.finite_finite_a @t298) (_ tptp.finite_finite_a @t297))))) % 0.60/0.84 (assume @p145 (forall (@list @t299 @t300) (=> (_ (_ tptp.ord_less_eq_a_o_o @t299) @t300) (=> (_ tptp.finite_finite_a_o @t300) (_ tptp.finite_finite_a_o @t299))))) % 0.60/0.84 (assume @p146 (forall (@list @t301 @t302) (=> (_ (_ tptp.ord_less_eq_nat_o @t301) @t302) (=> (_ tptp.finite_finite_nat @t302) (_ tptp.finite_finite_nat @t301))))) % 0.60/0.84 (assume @p147 (forall (@list @t303 @t304) (=> (_ (_ tptp.ord_less_eq_pname_o @t303) @t304) (=> (_ tptp.finite_finite_pname @t304) (_ tptp.finite_finite_pname @t303))))) % 0.60/0.84 (assume @p148 (forall (@list @t305 @t306) (=> (_ tptp.finite_finite_nat_o @t306) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t305) @t306) (_ tptp.finite_finite_nat_o @t305))))) % 0.60/0.84 (assume @p149 (forall (@list @t307 @t308) (=> (_ tptp.finite297249702name_o @t308) (=> (_ (_ tptp.ord_le1205211808me_o_o @t307) @t308) (_ tptp.finite297249702name_o @t307))))) % 0.60/0.84 (assume @p150 (forall (@list @t309 @t310) (=> (_ tptp.finite_finite_a @t310) (=> (_ (_ tptp.ord_less_eq_a_o @t309) @t310) (_ tptp.finite_finite_a @t309))))) % 0.60/0.84 (assume @p151 (forall (@list @t311 @t312) (=> (_ tptp.finite_finite_a_o @t312) (=> (_ (_ tptp.ord_less_eq_a_o_o @t311) @t312) (_ tptp.finite_finite_a_o @t311))))) % 0.60/0.84 (assume @p152 (forall (@list @t313 @t314) (=> (_ tptp.finite_finite_nat @t314) (=> (_ (_ tptp.ord_less_eq_nat_o @t313) @t314) (_ tptp.finite_finite_nat @t313))))) % 0.60/0.84 (assume @p153 (forall (@list @t315 @t316) (=> (_ tptp.finite_finite_pname @t316) (=> (_ (_ tptp.ord_less_eq_pname_o @t315) @t316) (_ tptp.finite_finite_pname @t315))))) % 0.60/0.84 (assume @p154 (forall @t264 (=> (_ (_ tptp.ord_less_eq_nat @t245) @t241) @t263))) % 0.60/0.84 (assume @p155 (forall @t264 (=> @t319 (=> @t318 @t317)))) % 0.60/0.84 (assume @p156 (forall @t264 (=> @t263 @t319))) % 0.60/0.84 (assume @p157 (forall @t250 (= (_ @t320 @t245) @t249))) % 0.60/0.84 (assume @p158 (forall @t264 (= @t319 (or @t263 @t317)))) % 0.60/0.84 (assume @p159 (forall @t264 (= @t318 (_ @t320 @t242)))) % 0.60/0.84 (assume @p160 (forall @t256 (not (_ @t320 @t241)))) % 0.60/0.84 (assume @p161 (forall (@list @t242 @t241 @t251) (= (_ (_ tptp.minus_minus_nat @t247) (_ tptp.suc @t251)) (_ (_ tptp.minus_minus_nat @t244) @t251)))) % 0.60/0.84 (assume @p162 (forall @t264 (= (_ @t246 @t254) @t244))) % 0.60/0.84 (assume @p163 (forall @t327 (=> @t326 (=> @t325 (= (_ (_ tptp.ord_less_eq_nat @t323) @t322) @t263))))) % 0.60/0.84 (assume @p164 (forall @t327 (=> @t326 (=> @t325 (= (_ (_ tptp.minus_minus_nat @t323) @t322) @t244))))) % 0.60/0.84 (assume @p165 (forall @t327 (=> @t326 (=> @t325 (= (= @t323 @t322) @t261))))) % 0.60/0.84 (assume @p166 (forall (@list @t265 @t241) (=> (_ @t266 @t241) (= (_ @t321 (_ @t321 @t265)) @t265)))) % 0.60/0.84 (assume @p167 (forall @t329 (=> @t263 (_ (_ tptp.ord_less_eq_nat (_ @t243 @t328)) (_ @t321 @t328))))) % 0.60/0.84 (assume @p168 (forall @t329 (=> @t263 (_ (_ tptp.ord_less_eq_nat (_ @t330 @t241)) (_ @t330 @t242))))) % 0.60/0.84 (assume @p169 (forall @t264 (_ (_ tptp.ord_less_eq_nat @t244) @t242))) % 0.60/0.84 (assume @p170 (forall (@list @t331 @t333 @t332) (=> (_ tptp.finite_finite_pname @t332) (=> (_ (_ tptp.ord_less_eq_a_o @t331) (_ (_ tptp.image_pname_a @t333) @t332)) (_ tptp.finite_finite_a @t331))))) % 0.60/0.84 (assume @p171 (forall (@list @t335 @t338 @t337) (=> (_ tptp.finite_finite_a @t337) (=> (_ (_ tptp.ord_less_eq_a_o @t337) (_ @t336 @t338)) (exists (@list @t334) (and (_ (_ tptp.ord_less_eq_pname_o @t334) @t338) (_ tptp.finite_finite_pname @t334) (= @t337 (_ @t336 @t334)))))))) % 0.60/0.84 (assume @p172 (forall (@list @t341 @t339 @t340) (=> (forall @t253 (_ (_ tptp.ord_less_eq_nat_o (_ @t340 @t252)) (_ @t340 @t343))) (=> @t342 (_ (_ tptp.ord_less_eq_nat_o (_ @t340 @t341)) (_ @t340 @t339)))))) % 0.60/0.84 (assume @p173 (forall (@list @t341 @t339 @t344) (=> (forall @t253 (_ (_ tptp.ord_less_eq_pname_o (_ @t344 @t252)) (_ @t344 @t343))) (=> @t342 (_ (_ tptp.ord_less_eq_pname_o (_ @t344 @t341)) (_ @t344 @t339)))))) % 0.60/0.84 (assume @p174 (forall (@list @t341 @t339 @t345) (=> (forall @t253 (_ (_ tptp.ord_less_eq_nat (_ @t345 @t252)) (_ @t345 @t343))) (=> @t342 (_ (_ tptp.ord_less_eq_nat (_ @t345 @t341)) (_ @t345 @t339)))))) % 0.60/0.84 (assume @p175 (forall (@list @t341 @t339 @t346) (=> (forall @t253 (_ (_ tptp.ord_less_eq_a_o (_ @t346 @t252)) (_ @t346 @t343))) (=> @t342 (_ (_ tptp.ord_less_eq_a_o (_ @t346 @t341)) (_ @t346 @t339)))))) % 0.60/0.84 (assume @p176 (forall (@list @t347 @t349) (=> (not (_ tptp.finite_finite_pname @t349)) (=> (_ tptp.finite_finite_a (_ (_ tptp.image_pname_a @t347) @t349)) (exists @t236 (and (_ @t350 @t349) (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda (@list @t348) (and (_ (_ tptp.member_pname @t348) @t349) (= (_ @t347 @t348) (_ @t347 @t233))))))))))))) % 0.60/0.84 (assume @p177 (forall (@list @t351 @t353 @t352 @t354) (=> (= @t353 (_ @t352 @t354)) (=> (_ (_ tptp.member_pname @t354) @t351) (_ (_ tptp.member_a @t353) (_ (_ tptp.image_pname_a @t352) @t351)))))) % 0.60/0.84 (assume @p178 (forall (@list @t356 @t355) (=> (_ (_ tptp.ord_less_eq_nat_o @t356) @t355) (=> (_ (_ tptp.ord_less_eq_nat_o @t355) @t356) (= @t356 @t355))))) % 0.60/0.84 (assume @p179 (forall (@list @t358 @t357) (=> (_ (_ tptp.ord_less_eq_pname_o @t358) @t357) (=> (_ (_ tptp.ord_less_eq_pname_o @t357) @t358) (= @t358 @t357))))) % 0.60/0.84 (assume @p180 (forall (@list @t360 @t359) (=> (_ (_ tptp.ord_less_eq_a_o @t360) @t359) (=> (_ (_ tptp.ord_less_eq_a_o @t359) @t360) (= @t360 @t359))))) % 0.60/0.84 (assume @p181 (forall (@list @t362 @t364 @t361) (=> (_ (_ tptp.ord_less_eq_nat_o @t364) @t361) (=> (_ @t363 @t364) (_ @t363 @t361))))) % 0.60/0.84 (assume @p182 (forall (@list @t366 @t368 @t365) (=> (_ (_ tptp.ord_less_eq_a_o @t368) @t365) (=> (_ @t367 @t368) (_ @t367 @t365))))) % 0.60/0.84 (assume @p183 (forall (@list @t370 @t372 @t369) (=> (_ (_ tptp.ord_less_eq_pname_o @t372) @t369) (=> (_ @t371 @t372) (_ @t371 @t369))))) % 0.60/0.84 (assume @p184 (forall (@list @t374 @t375 @t373) (=> (=> (not (_ @t376 @t373)) (= @t375 @t374)) (_ @t376 (_ (_ tptp.insert_nat @t374) @t373))))) % 0.60/0.84 (assume @p185 (forall (@list @t378 @t379 @t377) (=> (=> (not (_ @t380 @t377)) (= @t379 @t378)) (_ @t380 (_ (_ tptp.insert_pname @t378) @t377))))) % 0.60/0.84 (assume @p186 (forall (@list @t382 @t383 @t381) (=> (=> (not (_ @t384 @t381)) (= @t383 @t382)) (_ @t384 (_ (_ tptp.insert_a @t382) @t381))))) % 0.60/0.84 (assume @p187 (forall (@list @t386 @t388 @t385) (=> (_ @t387 (_ (_ tptp.insert_nat @t388) @t385)) (=> (not (= @t386 @t388)) (_ @t387 @t385))))) % 0.60/0.84 (assume @p188 (forall (@list @t390 @t392 @t389) (=> (_ @t391 (_ (_ tptp.insert_pname @t392) @t389)) (=> (not (= @t390 @t392)) (_ @t391 @t389))))) % 0.60/0.84 (assume @p189 (forall (@list @t394 @t396 @t393) (=> (_ @t395 (_ (_ tptp.insert_a @t396) @t393)) (=> (not (= @t394 @t396)) (_ @t395 @t393))))) % 0.60/0.84 (assume @p190 (forall (@list @t398 @t397) (_ (_ tptp.member_nat @t398) (_ (_ tptp.insert_nat @t398) @t397)))) % 0.60/0.84 (assume @p191 (forall (@list @t400 @t399) (_ (_ tptp.member_pname @t400) (_ (_ tptp.insert_pname @t400) @t399)))) % 0.60/0.84 (assume @p192 (forall (@list @t402 @t401) (_ (_ tptp.member_a @t402) (_ (_ tptp.insert_a @t402) @t401)))) % 0.60/0.84 (assume @p193 (forall (@list @t405 @t403) (= (_ (_ tptp.insert_nat @t405) @t403) (_ tptp.collect_nat (lambda @t240 (or (= @t237 @t405) (_ @t404 @t403))))))) % 0.60/0.84 (assume @p194 (forall (@list @t407 @t406) (= (_ (_ tptp.insert_pname @t407) @t406) (_ tptp.collect_pname (lambda @t236 (or (= @t233 @t407) (_ @t350 @t406))))))) % 0.60/0.84 (assume @p195 (forall (@list @t410 @t408) (= (_ (_ tptp.insert_a @t410) @t408) (_ tptp.collect_a (lambda @t232 (or (= @t229 @t410) (_ @t409 @t408))))))) % 0.60/0.84 (assume @p196 (forall (@list @t412 @t411) (= (_ (_ tptp.insert_nat_o @t412) @t411) (_ tptp.collect_nat_o (lambda @t220 (or (= @t217 @t412) (_ (_ tptp.member_nat_o @t217) @t411))))))) % 0.60/0.84 (assume @p197 (forall (@list @t414 @t413) (= (_ (_ tptp.insert_pname_o @t414) @t413) (_ tptp.collect_pname_o (lambda @t224 (or (= @t221 @t414) (_ (_ tptp.member_pname_o @t221) @t413))))))) % 0.60/0.84 (assume @p198 (forall (@list @t416 @t415) (= (_ (_ tptp.insert_a_o @t416) @t415) (_ tptp.collect_a_o (lambda @t228 (or (= @t225 @t416) (_ (_ tptp.member_a_o @t225) @t415))))))) % 0.60/0.84 (assume @p199 (forall (@list @t419 @t418) (= (_ (_ tptp.insert_nat @t419) (_ tptp.collect_nat @t418)) (_ tptp.collect_nat (lambda (@list @t417) (=> (not (= @t417 @t419)) (_ @t418 @t417))))))) % 0.60/0.84 (assume @p200 (forall (@list @t422 @t421) (= (_ (_ tptp.insert_pname @t422) (_ tptp.collect_pname @t421)) (_ tptp.collect_pname (lambda (@list @t420) (=> (not (= @t420 @t422)) (_ @t421 @t420))))))) % 0.60/0.84 (assume @p201 (forall (@list @t425 @t424) (= (_ (_ tptp.insert_a @t425) (_ tptp.collect_a @t424)) (_ tptp.collect_a (lambda (@list @t423) (=> (not (= @t423 @t425)) (_ @t424 @t423))))))) % 0.60/0.84 (assume @p202 (forall (@list @t428 @t427) (= (_ (_ tptp.insert_nat_o @t428) (_ tptp.collect_nat_o @t427)) (_ tptp.collect_nat_o (lambda (@list @t426) (=> (not (= @t426 @t428)) (_ @t427 @t426))))))) % 0.60/0.84 (assume @p203 (forall (@list @t431 @t430) (= (_ (_ tptp.insert_pname_o @t431) (_ tptp.collect_pname_o @t430)) (_ tptp.collect_pname_o (lambda (@list @t429) (=> (not (= @t429 @t431)) (_ @t430 @t429))))))) % 0.60/0.84 (assume @p204 (forall (@list @t434 @t433) (= (_ (_ tptp.insert_a_o @t434) (_ tptp.collect_a_o @t433)) (_ tptp.collect_a_o (lambda (@list @t432) (=> (not (= @t432 @t434)) (_ @t433 @t432))))))) % 0.60/0.84 (assume @p205 (forall (@list @t436 @t435) (= (_ @t437 @t438) @t438))) % 0.60/0.84 (assume @p206 (forall (@list @t440 @t439) (= (_ @t441 @t442) @t442))) % 0.60/0.84 (assume @p207 (forall (@list @t444 @t443) (= (_ @t445 @t446) @t446))) % 0.60/0.84 (assume @p208 (forall (@list @t448 @t450 @t447) (= (_ @t449 (_ @t451 @t447)) (_ @t451 (_ @t449 @t447))))) % 0.60/0.84 (assume @p209 (forall (@list @t453 @t455 @t452) (= (_ @t454 (_ @t456 @t452)) (_ @t456 (_ @t454 @t452))))) % 0.60/0.84 (assume @p210 (forall (@list @t458 @t460 @t457) (= (_ @t459 (_ @t461 @t457)) (_ @t461 (_ @t459 @t457))))) % 0.60/0.84 (assume @p211 (forall (@list @t463 @t465 @t462) (= (_ @t464 (_ (_ tptp.insert_nat @t465) @t462)) (or (= @t463 @t465) (_ @t464 @t462))))) % 0.60/0.84 (assume @p212 (forall (@list @t467 @t469 @t466) (= (_ @t468 (_ (_ tptp.insert_pname @t469) @t466)) (or (= @t467 @t469) (_ @t468 @t466))))) % 0.60/0.84 (assume @p213 (forall (@list @t471 @t473 @t470) (= (_ @t472 (_ (_ tptp.insert_a @t473) @t470)) (or (= @t471 @t473) (_ @t472 @t470))))) % 0.60/0.84 (assume @p214 (forall (@list @t476 @t475 @t474) (= (_ (_ (_ tptp.insert_nat @t476) @t475) @t474) (or (= @t476 @t474) (_ @t475 @t474))))) % 0.60/0.84 (assume @p215 (forall (@list @t479 @t478 @t477) (= (_ (_ (_ tptp.insert_pname @t479) @t478) @t477) (or (= @t479 @t477) (_ @t478 @t477))))) % 0.60/0.84 (assume @p216 (forall (@list @t482 @t481 @t480) (= (_ (_ (_ tptp.insert_a @t482) @t481) @t480) (or (= @t482 @t480) (_ @t481 @t480))))) % 0.60/0.84 (assume @p217 (forall (@list @t483 @t485 @t484) (=> (not (_ @t487 @t484)) (=> (not (_ @t487 @t483)) (= (= (_ @t486 @t484) (_ @t486 @t483)) (= @t484 @t483)))))) % 0.60/0.84 (assume @p218 (forall (@list @t488 @t490 @t489) (=> (not (_ @t492 @t489)) (=> (not (_ @t492 @t488)) (= (= (_ @t491 @t489) (_ @t491 @t488)) (= @t489 @t488)))))) % 0.60/0.84 (assume @p219 (forall (@list @t493 @t495 @t494) (=> (not (_ @t497 @t494)) (=> (not (_ @t497 @t493)) (= (= (_ @t496 @t494) (_ @t496 @t493)) (= @t494 @t493)))))) % 0.60/0.84 (assume @p220 (forall (@list @t499 @t500 @t498) (=> (_ @t501 @t498) (_ @t501 (_ (_ tptp.insert_nat @t499) @t498))))) % 0.60/0.84 (assume @p221 (forall (@list @t503 @t504 @t502) (=> (_ @t505 @t502) (_ @t505 (_ (_ tptp.insert_pname @t503) @t502))))) % 0.60/0.84 (assume @p222 (forall (@list @t507 @t508 @t506) (=> (_ @t509 @t506) (_ @t509 (_ (_ tptp.insert_a @t507) @t506))))) % 0.60/0.84 (assume @p223 (forall (@list @t511 @t510) (=> (_ (_ tptp.member_nat @t511) @t510) (= (_ (_ tptp.insert_nat @t511) @t510) @t510)))) % 0.60/0.84 (assume @p224 (forall (@list @t513 @t512) (=> (_ (_ tptp.member_pname @t513) @t512) (= (_ (_ tptp.insert_pname @t513) @t512) @t512)))) % 0.60/0.84 (assume @p225 (forall (@list @t515 @t514) (=> (_ (_ tptp.member_a @t515) @t514) (= (_ (_ tptp.insert_a @t515) @t514) @t514)))) % 0.60/0.84 (assume @p226 (forall (@list @t516) (_ (_ tptp.ord_less_eq_nat_o @t516) @t516))) % 0.60/0.84 (assume @p227 (forall (@list @t517) (_ (_ tptp.ord_less_eq_pname_o @t517) @t517))) % 0.60/0.84 (assume @p228 (forall (@list @t518) (_ (_ tptp.ord_less_eq_a_o @t518) @t518))) % 0.60/0.84 (assume @p229 (forall (@list @t519 @t520) (= (= @t519 @t520) (and (_ (_ tptp.ord_less_eq_nat_o @t519) @t520) (_ (_ tptp.ord_less_eq_nat_o @t520) @t519))))) % 0.60/0.84 (assume @p230 (forall (@list @t521 @t522) (= (= @t521 @t522) (and (_ (_ tptp.ord_less_eq_pname_o @t521) @t522) (_ (_ tptp.ord_less_eq_pname_o @t522) @t521))))) % 0.60/0.84 (assume @p231 (forall (@list @t523 @t524) (= (= @t523 @t524) (and (_ (_ tptp.ord_less_eq_a_o @t523) @t524) (_ (_ tptp.ord_less_eq_a_o @t524) @t523))))) % 0.60/0.84 (assume @p232 (forall (@list @t526 @t525) (=> (= @t526 @t525) (_ (_ tptp.ord_less_eq_nat_o @t526) @t525)))) % 0.60/0.84 (assume @p233 (forall (@list @t528 @t527) (=> (= @t528 @t527) (_ (_ tptp.ord_less_eq_pname_o @t528) @t527)))) % 0.60/0.84 (assume @p234 (forall (@list @t530 @t529) (=> (= @t530 @t529) (_ (_ tptp.ord_less_eq_a_o @t530) @t529)))) % 0.60/0.84 (assume @p235 (forall (@list @t531 @t532) (=> (= @t531 @t532) (_ (_ tptp.ord_less_eq_nat_o @t532) @t531)))) % 0.60/0.84 (assume @p236 (forall (@list @t533 @t534) (=> (= @t533 @t534) (_ (_ tptp.ord_less_eq_pname_o @t534) @t533)))) % 0.60/0.84 (assume @p237 (forall (@list @t535 @t536) (=> (= @t535 @t536) (_ (_ tptp.ord_less_eq_a_o @t536) @t535)))) % 0.60/0.84 (assume @p238 (forall (@list @t538 @t540 @t537) (=> (_ (_ tptp.ord_less_eq_nat_o @t540) @t537) (=> (_ @t539 @t540) (_ @t539 @t537))))) % 0.60/0.84 (assume @p239 (forall (@list @t542 @t544 @t541) (=> (_ (_ tptp.ord_less_eq_a_o @t544) @t541) (=> (_ @t543 @t544) (_ @t543 @t541))))) % 0.60/0.84 (assume @p240 (forall (@list @t546 @t548 @t545) (=> (_ (_ tptp.ord_less_eq_pname_o @t548) @t545) (=> (_ @t547 @t548) (_ @t547 @t545))))) % 0.60/0.84 (assume @p241 (forall (@list @t549 @t550 @t552) (=> (_ @t551 @t552) (=> (_ (_ tptp.ord_less_eq_nat_o @t552) @t549) (_ @t551 @t549))))) % 0.60/0.84 (assume @p242 (forall (@list @t553 @t554 @t556) (=> (_ @t555 @t556) (=> (_ (_ tptp.ord_less_eq_a_o @t556) @t553) (_ @t555 @t553))))) % 0.60/0.84 (assume @p243 (forall (@list @t557 @t558 @t560) (=> (_ @t559 @t560) (=> (_ (_ tptp.ord_less_eq_pname_o @t560) @t557) (_ @t559 @t557))))) % 0.60/0.84 (assume @p244 (forall (@list @t562 @t564 @t561) (=> (_ (_ tptp.ord_less_eq_nat_o @t564) @t561) (=> (_ @t563 @t564) (_ @t563 @t561))))) % 0.60/0.84 (assume @p245 (forall (@list @t566 @t568 @t565) (=> (_ (_ tptp.ord_less_eq_a_o @t568) @t565) (=> (_ @t567 @t568) (_ @t567 @t565))))) % 0.60/0.84 (assume @p246 (forall (@list @t570 @t572 @t569) (=> (_ (_ tptp.ord_less_eq_pname_o @t572) @t569) (=> (_ @t571 @t572) (_ @t571 @t569))))) % 0.60/0.84 (assume @p247 (forall (@list @t573 @t574 @t576) (=> (_ @t575 @t576) (=> (_ (_ tptp.ord_less_eq_nat_o @t576) @t573) (_ @t575 @t573))))) % 0.60/0.84 (assume @p248 (forall (@list @t577 @t578 @t580) (=> (_ @t579 @t580) (=> (_ (_ tptp.ord_less_eq_pname_o @t580) @t577) (_ @t579 @t577))))) % 0.60/0.84 (assume @p249 (forall (@list @t581 @t582 @t584) (=> (_ @t583 @t584) (=> (_ (_ tptp.ord_less_eq_a_o @t584) @t581) (_ @t583 @t581))))) % 0.60/0.84 (assume @p250 (forall (@list @t585 @t586) (=> (= @t585 @t586) (not (=> (_ (_ tptp.ord_less_eq_nat_o @t585) @t586) (not (_ (_ tptp.ord_less_eq_nat_o @t586) @t585))))))) % 0.60/0.84 (assume @p251 (forall (@list @t587 @t588) (=> (= @t587 @t588) (not (=> (_ (_ tptp.ord_less_eq_pname_o @t587) @t588) (not (_ (_ tptp.ord_less_eq_pname_o @t588) @t587))))))) % 0.60/0.84 (assume @p252 (forall (@list @t589 @t590) (=> (= @t589 @t590) (not (=> (_ (_ tptp.ord_less_eq_a_o @t589) @t590) (not (_ (_ tptp.ord_less_eq_a_o @t590) @t589))))))) % 0.60/0.84 (assume @p253 (forall (@list @t591 @t592) (= (_ (_ tptp.member_nat @t591) @t592) (_ @t592 @t591)))) % 0.60/0.84 (assume @p254 (forall (@list @t593 @t594) (= (_ (_ tptp.member_a @t593) @t594) (_ @t594 @t593)))) % 0.60/0.84 (assume @p255 (forall (@list @t595 @t596) (= (_ (_ tptp.member_pname @t595) @t596) (_ @t596 @t595)))) % 0.60/0.84 (assume @p256 (forall (@list @t597) (= (_ tptp.collect_pname @t597) @t597))) % 0.60/0.84 (assume @p257 (forall (@list @t598) (= (_ tptp.collect_nat_o @t598) @t598))) % 0.60/0.84 (assume @p258 (forall (@list @t599) (= (_ tptp.collect_pname_o @t599) @t599))) % 0.60/0.84 (assume @p259 (forall (@list @t600) (= (_ tptp.collect_a_o @t600) @t600))) % 0.60/0.84 (assume @p260 (forall (@list @t601) (= (_ tptp.collect_nat @t601) @t601))) % 0.60/0.84 (assume @p261 @t614) % 0.60/0.84 (assume @p262 (forall (@list @t616 @t617 @t615) (=> (_ (_ tptp.member_pname @t617) @t615) (_ (_ tptp.member_a (_ @t616 @t617)) (_ (_ tptp.image_pname_a @t616) @t615))))) % 0.60/0.84 (assume @p263 (forall (@list @t620 @t619 @t621 @t618) (=> (_ (_ tptp.member_pname @t621) @t618) (=> (= @t620 (_ @t619 @t621)) (_ (_ tptp.member_a @t620) (_ (_ tptp.image_pname_a @t619) @t618)))))) % 0.60/0.84 (assume @p264 (forall (@list @t237 @t622) (= (_ (_ tptp.insert_nat @t237) @t622) (_ tptp.collect_nat (lambda (@list @t623) (or (= @t623 @t237) (_ (_ tptp.member_nat @t623) @t622))))))) % 0.60/0.84 (assume @p265 (forall (@list @t233 @t624) (= (_ (_ tptp.insert_pname @t233) @t624) (_ tptp.collect_pname (lambda (@list @t625) (or (= @t625 @t233) (_ (_ tptp.member_pname @t625) @t624))))))) % 0.60/0.84 (assume @p266 (forall (@list @t229 @t626) (= (_ (_ tptp.insert_a @t229) @t626) (_ tptp.collect_a (lambda (@list @t627) (or (= @t627 @t229) (_ (_ tptp.member_a @t627) @t626))))))) % 0.60/0.84 (assume @p267 (forall (@list @t217 @t628) (= (_ (_ tptp.insert_nat_o @t217) @t628) (_ tptp.collect_nat_o (lambda (@list @t629) (or (= @t629 @t217) (_ (_ tptp.member_nat_o @t629) @t628))))))) % 0.60/0.84 (assume @p268 (forall (@list @t221 @t630) (= (_ (_ tptp.insert_pname_o @t221) @t630) (_ tptp.collect_pname_o (lambda (@list @t631) (or (= @t631 @t221) (_ (_ tptp.member_pname_o @t631) @t630))))))) % 0.60/0.84 (assume @p269 (forall (@list @t225 @t632) (= (_ (_ tptp.insert_a_o @t225) @t632) (_ tptp.collect_a_o (lambda (@list @t633) (or (= @t633 @t225) (_ (_ tptp.member_a_o @t633) @t632))))))) % 0.60/0.84 (assume @p270 (forall (@list @t634 @t635) (_ (_ tptp.ord_less_eq_nat_o @t634) (_ (_ tptp.insert_nat @t635) @t634)))) % 0.60/0.84 (assume @p271 (forall (@list @t636 @t637) (_ (_ tptp.ord_less_eq_pname_o @t636) (_ (_ tptp.insert_pname @t637) @t636)))) % 0.60/0.84 (assume @p272 (forall (@list @t638 @t639) (_ (_ tptp.ord_less_eq_a_o @t638) (_ (_ tptp.insert_a @t639) @t638)))) % 0.60/0.84 (assume @p273 (forall (@list @t642 @t641 @t640) (= (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.insert_nat @t642) @t641)) @t640) (and (_ (_ tptp.member_nat @t642) @t640) (_ (_ tptp.ord_less_eq_nat_o @t641) @t640))))) % 0.60/0.84 (assume @p274 (forall (@list @t645 @t644 @t643) (= (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.insert_pname @t645) @t644)) @t643) (and (_ (_ tptp.member_pname @t645) @t643) (_ (_ tptp.ord_less_eq_pname_o @t644) @t643))))) % 0.60/0.84 (assume @p275 @t655) % 0.60/0.84 (assume @p276 (forall (@list @t656 @t659 @t657) (=> (not (_ (_ tptp.member_nat @t659) @t657)) (= (_ @t658 (_ (_ tptp.insert_nat @t659) @t656)) (_ @t658 @t656))))) % 0.60/0.84 (assume @p277 (forall (@list @t660 @t663 @t661) (=> (not (_ (_ tptp.member_pname @t663) @t661)) (= (_ @t662 (_ (_ tptp.insert_pname @t663) @t660)) (_ @t662 @t660))))) % 0.60/0.84 (assume @p278 (forall (@list @t664 @t667 @t665) (=> (not (_ (_ tptp.member_a @t667) @t665)) (= (_ @t666 (_ (_ tptp.insert_a @t667) @t664)) (_ @t666 @t664))))) % 0.60/0.84 (assume @p279 (forall (@list @t669 @t670 @t668) (=> (_ @t671 @t668) (_ @t671 (_ (_ tptp.insert_nat @t669) @t668))))) % 0.60/0.84 (assume @p280 (forall (@list @t673 @t674 @t672) (=> (_ @t675 @t672) (_ @t675 (_ (_ tptp.insert_pname @t673) @t672))))) % 0.60/0.84 (assume @p281 (forall (@list @t677 @t678 @t676) (=> (_ @t679 @t676) (_ @t679 (_ (_ tptp.insert_a @t677) @t676))))) % 0.60/0.84 (assume @p282 (forall (@list @t681 @t683 @t680) (=> (_ (_ tptp.ord_less_eq_nat_o @t683) @t680) (_ (_ tptp.ord_less_eq_nat_o (_ @t682 @t683)) (_ @t682 @t680))))) % 0.60/0.84 (assume @p283 (forall (@list @t685 @t687 @t684) (=> (_ (_ tptp.ord_less_eq_pname_o @t687) @t684) (_ (_ tptp.ord_less_eq_pname_o (_ @t686 @t687)) (_ @t686 @t684))))) % 0.60/0.84 (assume @p284 (forall (@list @t689 @t691 @t688) (=> (_ (_ tptp.ord_less_eq_a_o @t691) @t688) (_ (_ tptp.ord_less_eq_a_o (_ @t690 @t691)) (_ @t690 @t688))))) % 0.60/0.84 (assume @p285 (forall (@list @t693 @t695 @t692) (= (_ @t694 (_ (_ tptp.insert_pname @t695) @t692)) (_ (_ tptp.insert_a (_ @t693 @t695)) (_ @t694 @t692))))) % 0.60/0.84 (assume @p286 (forall (@list @t697 @t699 @t696) (=> (_ (_ tptp.member_pname @t699) @t696) (= (_ (_ tptp.insert_a (_ @t697 @t699)) @t698) @t698)))) % 0.60/0.84 (assume @p287 (forall (@list @t703 @t701 @t704) (= (_ (_ tptp.ord_less_eq_a_o @t703) (_ @t702 @t704)) (exists (@list @t700) (and (_ (_ tptp.ord_less_eq_pname_o @t700) @t704) (= @t703 (_ @t702 @t700))))))) % 0.60/0.84 (assume @p288 (forall (@list @t706 @t708 @t705) (=> (_ (_ tptp.ord_less_eq_pname_o @t708) @t705) (_ (_ tptp.ord_less_eq_a_o (_ @t707 @t708)) (_ @t707 @t705))))) % 0.60/0.84 (assume @p289 (forall (@list @t711 @t710 @t709) (=> (_ (_ tptp.member_a @t711) (_ (_ tptp.image_pname_a @t710) @t709)) (not (forall @t236 (=> (= @t711 (_ @t710 @t233)) (not (_ @t350 @t709)))))))) % 0.60/0.84 (assume @p290 (forall (@list @t712 @t713) (=> (forall @t240 (=> (_ @t404 @t713) (_ @t404 @t712))) (_ (_ tptp.ord_less_eq_nat_o @t713) @t712)))) % 0.60/0.84 (assume @p291 (forall (@list @t714 @t715) (=> (forall @t232 (=> (_ @t409 @t715) (_ @t409 @t714))) (_ (_ tptp.ord_less_eq_a_o @t715) @t714)))) % 0.60/0.84 (assume @p292 (forall (@list @t716 @t717) (=> (forall @t236 (=> (_ @t350 @t717) (_ @t350 @t716))) (_ (_ tptp.ord_less_eq_pname_o @t717) @t716)))) % 0.60/0.84 (assume @p293 (forall (@list @t265 @t718 @t251) (=> (_ @t718 @t251) (=> (forall @t253 (=> (_ @t718 @t343) (_ @t718 @t252))) (_ @t718 (_ (_ tptp.minus_minus_nat @t251) @t265)))))) % 0.60/0.84 (assume @p294 (forall (@list @t241 @t720) (=> (_ @t320 @t720) (exists @t721 (= @t720 (_ tptp.suc @t719)))))) % 0.60/0.84 (assume @p295 (forall (@list @t724 @t722 @t723) (=> (forall @t236 (=> (_ @t350 @t723) (_ (_ tptp.member_a (_ @t724 @t233)) @t722))) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.image_pname_a @t724) @t723)) @t722)))) % 0.60/0.84 (assume @p296 (forall (@list @t725) (_ (_ tptp.ord_less_eq_nat_o @t725) @t725))) % 0.60/0.84 (assume @p297 (forall (@list @t726) (_ (_ tptp.ord_less_eq_pname_o @t726) @t726))) % 0.60/0.84 (assume @p298 (forall (@list @t727) (_ (_ tptp.ord_less_eq_nat @t727) @t727))) % 0.60/0.84 (assume @p299 (forall (@list @t728) (_ (_ tptp.ord_less_eq_a_o @t728) @t728))) % 0.60/0.84 (assume @p300 (forall (@list @t729) (= (_ tptp.finite_finite_nat @t729) (exists @t721 (forall @t240 (=> (_ @t404 @t729) (_ (_ tptp.ord_less_eq_nat @t237) @t719))))))) % 0.60/0.84 (assume @p301 (_ tptp.finite_finite_pname tptp.u)) % 0.60/0.84 (assume @p302 @t731) % 0.60/0.84 (assume @p303 (_ (_ tptp.ord_less_eq_nat @t733) @t732)) % 0.60/0.84 (assume @p304 (= (_ tptp.finite_card_a tptp.g) (_ (_ tptp.minus_minus_nat @t732) @t733))) % 0.60/0.84 (assume @p305 @t734) % 0.60/0.84 (assume @p306 (not (_ (_ tptp.member_a @t735) tptp.g))) % 0.60/0.84 (assume @p307 @t738) % 0.60/0.84 (assume @p308 true) % 0.60/0.84 (step @p309 :rule refl :args ((tptp.ord_less_eq_a_o @t736 @t730))) % 0.60/0.84 (step @p310 :rule refl :args (@t730)) % 0.60/0.84 (step @p311 :rule refl :args (tptp.g)) % 0.60/0.84 (step @p312 :rule refl :args (@t739)) % 0.60/0.84 (step @p313 :rule refl :args (tptp.insert_a)) % 0.60/0.84 (step @p314 :rule ho_cong :premises (@p313 @p312)) % 0.60/0.84 (step @p315 :rule ho_cong :premises (@p314 @p311)) % 0.60/0.84 (step @p316 :rule cong :premises (@p315 @p310) :args (@t741)) % 0.60/0.84 (step @p317 :rule trans :premises (@p316 @p309)) % 0.60/0.84 (step @p318 :rule refl :args (tptp.ord_less_eq_a_o)) % 0.60/0.84 (step @p319 :rule ho_cong :premises (@p318 @p315)) % 0.60/0.84 (step @p320 :rule ho_cong :premises (@p319 @p310)) % 0.60/0.84 (step @p321 :rule cong :premises (@p320 @p317) :args ((= (_ (_ tptp.ord_less_eq_a_o @t740) @t730) @t741))) % 0.60/0.84 (step @p322 :rule symm :premises (@p321)) % 0.60/0.84 (step @p323 :rule refl :args (@t737)) % 0.60/0.84 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 0.60/0.84 (step @p325 :rule refl :args (@t730)) % 0.60/0.84 (step @p326 :rule refl :args (tptp.g)) % 0.60/0.84 (step @p327 :rule refl :args (@t735)) % 0.60/0.84 (step @p328 :rule cong :premises (@p327 @p312) :args ((= @t735 @t739))) % 0.60/0.84 (step @p329 :rule symm :premises (@p328)) % 0.60/0.84 (step @p330 :rule eq_resolve :premises (@p327 @p329)) % 0.60/0.84 (step @p331 :rule refl :args (tptp.insert_a)) % 0.60/0.84 (step @p332 :rule ho_cong :premises (@p331 @p330)) % 0.60/0.84 (step @p333 :rule ho_cong :premises (@p332 @p326)) % 0.60/0.84 (step @p334 :rule refl :args (tptp.ord_less_eq_a_o)) % 0.60/0.84 (step @p335 :rule ho_cong :premises (@p334 @p333)) % 0.60/0.84 (step @p336 :rule ho_cong :premises (@p335 @p325)) % 0.60/0.84 (step @p337 :rule trans :premises (@p336 @p324)) % 0.60/0.84 (step @p338 :rule cong :premises (@p337) :args (@t738)) % 0.60/0.84 (step @p339 :rule eq_resolve :premises (@p307 @p338)) % 0.60/0.84 (step @p340 :rule eq-symm :args (@t742 @t745)) % 0.60/0.84 (step @p341 :rule cong :premises (@p340) :args ((forall @t613 (= @t742 @t745)))) % 0.60/0.84 (step @p342 :rule refl :args (@t745)) % 0.60/0.84 (step @p343 :rule refl :args (@t742)) % 0.60/0.84 (step @p344 :rule refl :args (@t611)) % 0.60/0.84 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t611 @t742))) % 0.60/0.84 (step @p346 :rule symm :premises (@p345)) % 0.60/0.84 (step @p347 :rule eq_resolve :premises (@p344 @p346)) % 0.60/0.84 (step @p348 :rule cong :premises (@p347 @p342) :args (@t746)) % 0.60/0.84 (step @p349 :rule cong :premises (@p348) :args ((forall @t613 @t746))) % 0.60/0.84 (step @p350 :rule trans :premises (@p349 @p341)) % 0.60/0.84 (step @p351 :rule refl :args (@t743)) % 0.60/0.84 (step @p352 :rule refl :args (@t603)) % 0.60/0.84 (step @p353 :rule cong :premises (@p352 @p351) :args ((= @t603 @t743))) % 0.60/0.84 (step @p354 :rule symm :premises (@p353)) % 0.60/0.84 (step @p355 :rule eq_resolve :premises (@p352 @p354)) % 0.60/0.84 (step @p356 :rule refl :args (@t604)) % 0.60/0.84 (step @p357 :rule cong :premises (@p356 @p355) :args (@t605)) % 0.60/0.84 (step @p358 :rule cong :premises (@p357) :args (@t747)) % 0.60/0.84 (step @p359 :rule refl :args (@t744)) % 0.60/0.84 (step @p360 :rule refl :args (@t607)) % 0.60/0.84 (step @p361 :rule cong :premises (@p360 @p359) :args ((= @t607 @t744))) % 0.60/0.84 (step @p362 :rule symm :premises (@p361)) % 0.60/0.84 (step @p363 :rule eq_resolve :premises (@p360 @p362)) % 0.60/0.84 (step @p364 :rule cong :premises (@p363) :args (@t748)) % 0.60/0.84 (step @p365 :rule nary_cong :premises (@p364 @p358) :args (@t749)) % 0.60/0.84 (step @p366 :rule cong :premises (@p365) :args ((forall @t236 @t749))) % 0.60/0.84 (step @p367 :rule bool-and-de-morgan :args (@t607 @t605 true)) % 0.60/0.84 (step @p368 :rule cong :premises (@p367) :args (@t750)) % 0.60/0.84 (step @p369 :rule trans :premises (@p368 @p366)) % 0.60/0.84 (step @p370 :rule cong :premises (@p369) :args (@t751)) % 0.60/0.84 (step @p371 :rule exists-elim :args ((= @t609 @t751))) % 0.60/0.84 (step @p372 :rule trans :premises (@p371 @p370)) % 0.60/0.84 (step @p373 :rule refl :args (@t611)) % 0.60/0.84 (step @p374 :rule cong :premises (@p373 @p372) :args (@t612)) % 0.60/0.84 (step @p375 :rule cong :premises (@p374) :args (@t614)) % 0.60/0.84 (step @p376 :rule trans :premises (@p375 @p350)) % 0.60/0.84 (step @p377 :rule eq_resolve :premises (@p261 @p376)) % 0.60/0.84 (step @p378 :rule instantiate :premises (@p377) :args ((@list @t739 tptp.mgt_call tptp.u))) % 0.60/0.84 (step @p379 :rule refl :args (@t752)) % 0.60/0.84 (step @p380 :rule refl :args (@t734)) % 0.60/0.84 (step @p381 :rule cong :premises (@p380 @p379) :args ((= @t734 @t752))) % 0.60/0.84 (step @p382 :rule symm :premises (@p381)) % 0.60/0.84 (step @p383 :rule eq_resolve :premises (@p380 @p382)) % 0.60/0.84 (step @p384 :rule eq_resolve :premises (@p305 @p383)) % 0.60/0.84 (step @p385 :rule aci_norm :args ((= (or @t753 false) @t753))) % 0.60/0.84 (step @p386 :rule evaluate :args ((not true))) % 0.60/0.84 (step @p387 :rule eq-refl :args (@t739)) % 0.60/0.84 (step @p388 :rule cong :premises (@p387) :args (@t754)) % 0.60/0.84 (step @p389 :rule trans :premises (@p388 @p386)) % 0.60/0.84 (step @p390 :rule refl :args (@t753)) % 0.60/0.84 (step @p391 :rule nary_cong :premises (@p390 @p389) :args (@t755)) % 0.60/0.84 (step @p392 :rule trans :premises (@p391 @p385)) % 0.60/0.84 (step @p393 :rule refl :args (@t756)) % 0.60/0.84 (step @p394 :rule cong :premises (@p393 @p392) :args ((=> @t756 @t755))) % 0.60/0.84 (assume-push @p443 @t756) % 0.60/0.84 (step @p396 :rule instantiate :premises (@p443) :args ((@list tptp.pn))) % 0.60/0.84 (step-pop @p444 :rule scope :premises (@p396)) % 0.60/0.84 (step @p397 :rule process_scope :premises (@p444) :args (@t755)) % 0.60/0.84 (step @p399 :rule eq_resolve :premises (@p397 @p394)) % 0.60/0.84 (step @p400 :rule implies_elim :premises (@p399)) % 0.60/0.84 (step @p401 :rule reordering :premises (@p400) :args ((or @t753 @t757))) % 0.60/0.84 (step @p402 :rule chain_m_resolution :premises (@p401 @p384) :args (@t757 (@list false) (@list @t752))) % 0.60/0.84 (step @p403 :rule refl :args (@t758)) % 0.60/0.84 (step @p404 :rule bool-double-not-elim :args (@t756)) % 0.60/0.84 (step @p405 :rule refl :args (@t760)) % 0.60/0.84 (step @p406 :rule nary_cong :premises (@p405 @p404 @p403) :args ((or @t760 (not @t757) @t758))) % 0.60/0.84 (step @p407 :rule cnf_equiv_pos1 :args (@t759)) % 0.60/0.84 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.60/0.84 (step @p409 :rule reordering :premises (@p408) :args ((or @t756 @t758 @t760))) % 0.60/0.84 (step @p410 :rule chain_m_resolution :premises (@p409 @p402 @p378) :args (@t758 (@list true false) (@list @t756 @t759))) % 0.60/0.84 (step @p411 :rule refl :args (@t761)) % 0.60/0.84 (step @p412 :rule refl :args (@t731)) % 0.60/0.84 (step @p413 :rule cong :premises (@p412 @p411) :args ((= @t731 @t761))) % 0.60/0.84 (step @p414 :rule symm :premises (@p413)) % 0.60/0.84 (step @p415 :rule eq_resolve :premises (@p412 @p414)) % 0.60/0.84 (step @p416 :rule eq_resolve :premises (@p302 @p415)) % 0.60/0.84 (step @p417 :rule cnf_and_neg :args (@t762)) % 0.60/0.84 (step @p418 :rule reordering :premises (@p417) :args ((or (not @t761) (not @t758) @t762))) % 0.60/0.84 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p410) :args (@t762 (@list false false) (@list @t761 @t758))) % 0.60/0.84 (step @p420 :rule refl :args (@t763)) % 0.60/0.84 (step @p421 :rule refl :args (@t648)) % 0.60/0.84 (step @p422 :rule cong :premises (@p421 @p420) :args ((= @t648 @t763))) % 0.60/0.84 (step @p423 :rule symm :premises (@p422)) % 0.60/0.84 (step @p424 :rule eq_resolve :premises (@p421 @p423)) % 0.60/0.84 (step @p425 :rule refl :args (@t764)) % 0.60/0.84 (step @p426 :rule refl :args (@t650)) % 0.60/0.84 (step @p427 :rule cong :premises (@p426 @p425) :args ((= @t650 @t764))) % 0.60/0.84 (step @p428 :rule symm :premises (@p427)) % 0.60/0.84 (step @p429 :rule eq_resolve :premises (@p426 @p428)) % 0.60/0.84 (step @p430 :rule nary_cong :premises (@p429 @p424) :args (@t651)) % 0.60/0.84 (step @p431 :rule refl :args (@t765)) % 0.60/0.84 (step @p432 :rule refl :args (@t653)) % 0.60/0.84 (step @p433 :rule cong :premises (@p432 @p431) :args ((= @t653 @t765))) % 0.60/0.84 (step @p434 :rule symm :premises (@p433)) % 0.60/0.84 (step @p435 :rule eq_resolve :premises (@p432 @p434)) % 0.60/0.84 (step @p436 :rule cong :premises (@p435 @p430) :args (@t654)) % 0.60/0.84 (step @p437 :rule cong :premises (@p436) :args (@t655)) % 0.60/0.84 (step @p438 :rule eq_resolve :premises (@p275 @p437)) % 0.60/0.84 (step @p439 :rule instantiate :premises (@p438) :args ((@list @t739 tptp.g @t730))) % 0.60/0.84 (step @p440 :rule cnf_equiv_pos2 :args (@t766)) % 0.60/0.84 (step @p441 :rule reordering :premises (@p440) :args ((or @t741 (not @t762) (not @t766)))) % 0.60/0.84 (step @p442 false :rule chain_m_resolution :premises (@p441 @p439 @p419 @p339) :args (false (@list false false true) (@list @t766 @t762 @t741))) % 0.60/0.84 ) % 0.60/0.84 % SZS output end Proof % 0.60/0.84 % cvc5 exiting %------------------------------------------------------------------------------