%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473^3 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:03 AM UTC 2026 % Result : Theorem 152.04s 152.32s % Output : Proof 152.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW473^3 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:08:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.47/0.76 %----Proving TH0 % 152.04/152.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 152.04/152.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 152.04/152.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 152.04/152.32 --- Run --ho-elim --full-saturate-quant at 18s... % 152.04/152.32 % SZS status Theorem % 152.04/152.32 % SZS output start Proof % 152.04/152.32 ( % 152.04/152.32 (declare-sort tptp.nat 0) % 152.04/152.32 (declare-sort tptp.int 0) % 152.04/152.32 (declare-sort tptp.pname 0) % 152.04/152.32 (declare-sort tptp.x_a 0) % 152.04/152.32 (declare-sort tptp.option_com 0) % 152.04/152.32 (declare-sort tptp.com 0) % 152.04/152.32 (declare-const tptp.pls tptp.int) % 152.04/152.32 (declare-const tptp.bit1 (-> tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.succ (-> tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.nat_neg (-> tptp.int Bool)) % 152.04/152.32 (declare-const tptp.abs_abs_int (-> tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 152.04/152.32 (declare-const tptp.ord_less_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_int_o (-> (-> tptp.int Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.semiri1621563631at_int (-> tptp.nat tptp.int)) % 152.04/152.32 (declare-const tptp.nat_tsub (-> tptp.int tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.zero_zero_int tptp.int) % 152.04/152.32 (declare-const tptp.times_times_int (-> tptp.int tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.number_number_of_int (-> tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 152.04/152.32 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 152.04/152.32 (declare-const tptp.number_number_of_nat (-> tptp.int tptp.nat)) % 152.04/152.32 (declare-const tptp.zero_zero_nat tptp.nat) % 152.04/152.32 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.the_int (-> (-> tptp.int Bool) tptp.int)) % 152.04/152.32 (declare-const tptp.the_nat (-> (-> tptp.nat Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.the_a (-> (-> tptp.x_a Bool) tptp.x_a)) % 152.04/152.32 (declare-const tptp.finite89670078_pname (-> (-> tptp.pname tptp.pname tptp.pname) (-> (-> tptp.pname Bool) tptp.pname) Bool)) % 152.04/152.32 (declare-const tptp.finite795500164em_nat (-> (-> tptp.nat tptp.nat tptp.nat) (-> (-> tptp.nat Bool) tptp.nat) Bool)) % 152.04/152.32 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 152.04/152.32 (declare-const tptp.pn tptp.pname) % 152.04/152.32 (declare-const tptp.one_one_int tptp.int) % 152.04/152.32 (declare-const tptp.one_one_nat tptp.nat) % 152.04/152.32 (declare-const tptp.finite988810631ne_nat (-> (-> tptp.nat tptp.nat tptp.nat) (-> (-> tptp.nat Bool) tptp.nat) Bool)) % 152.04/152.32 (declare-const tptp.finite_folding_one_a (-> (-> tptp.x_a tptp.x_a tptp.x_a) (-> (-> tptp.x_a Bool) tptp.x_a) Bool)) % 152.04/152.32 (declare-const tptp.the_elem_int (-> (-> tptp.int Bool) tptp.int)) % 152.04/152.32 (declare-const tptp.the_elem_nat (-> (-> tptp.nat Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.the_elem_a (-> (-> tptp.x_a Bool) tptp.x_a)) % 152.04/152.32 (declare-const tptp.the_com (-> tptp.option_com tptp.com)) % 152.04/152.32 (declare-const tptp.body (-> tptp.pname tptp.option_com)) % 152.04/152.32 (declare-const tptp.image_a_o_int (-> (-> (-> tptp.x_a Bool) tptp.int) (-> (-> tptp.x_a Bool) Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_int (-> (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_int_o_int (-> (-> (-> tptp.int Bool) tptp.int) (-> (-> tptp.int Bool) Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.finite1819937229idem_a (-> (-> tptp.x_a tptp.x_a tptp.x_a) (-> (-> tptp.x_a Bool) tptp.x_a) Bool)) % 152.04/152.32 (declare-const tptp.member_nat_o (-> (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_a_int (-> (-> tptp.x_a tptp.int) (-> tptp.x_a Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.image_a_o_nat (-> (-> (-> tptp.x_a Bool) tptp.nat) (-> (-> tptp.x_a Bool) Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.image_pname_o_nat (-> (-> (-> tptp.pname Bool) tptp.nat) (-> (-> tptp.pname Bool) Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.finite1282449217_pname (-> (-> tptp.pname tptp.pname tptp.pname) (-> (-> tptp.pname Bool) tptp.pname) Bool)) % 152.04/152.32 (declare-const tptp.fequal_nat (-> tptp.nat tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.image_a_nat (-> (-> tptp.x_a tptp.nat) (-> tptp.x_a Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.nat_case_nat (-> tptp.nat (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) % 152.04/152.32 (declare-const tptp.image_a_o_pname (-> (-> (-> tptp.x_a Bool) tptp.pname) (-> (-> tptp.x_a Bool) Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.insert_a (-> tptp.x_a (-> tptp.x_a Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_nat_o (-> (-> (-> tptp.nat Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_int_o_pname (-> (-> (-> tptp.int Bool) tptp.pname) (-> (-> tptp.int Bool) Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.member_int_o (-> (-> tptp.int Bool) (-> (-> tptp.int Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_int_a_o (-> (-> tptp.int tptp.x_a Bool) (-> tptp.int Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_nat_o_pname (-> (-> (-> tptp.nat Bool) tptp.pname) (-> (-> tptp.nat Bool) Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.member_nat (-> tptp.nat (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_int_pname_o (-> (-> tptp.int tptp.pname Bool) (-> tptp.int Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.ex (-> (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_int_int_o (-> (-> tptp.int tptp.int Bool) (-> tptp.int Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_pname_o (-> (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_int_a (-> (-> tptp.int tptp.x_a) (-> tptp.int Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.image_nat_a_o (-> (-> tptp.nat tptp.x_a Bool) (-> tptp.nat Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_int_o_o (-> (-> (-> (-> tptp.int Bool) Bool) Bool) (-> (-> tptp.int Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_nat_a (-> (-> tptp.nat tptp.x_a) (-> tptp.nat Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.image_pname_a_o (-> (-> tptp.pname tptp.x_a Bool) (-> tptp.pname Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_pname_pname_o (-> (-> tptp.pname tptp.pname Bool) (-> tptp.pname Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_pname_o_int (-> (-> (-> tptp.pname Bool) tptp.int) (-> (-> tptp.pname Bool) Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.fequal_a (-> tptp.x_a tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.image_pname_nat_o (-> (-> tptp.pname tptp.nat Bool) (-> tptp.pname Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.bot_bot_nat tptp.nat) % 152.04/152.32 (declare-const tptp.image_pname_o_pname (-> (-> (-> tptp.pname Bool) tptp.pname) (-> (-> tptp.pname Bool) Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.image_pname_int_o (-> (-> tptp.pname tptp.int Bool) (-> tptp.pname Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.bot_bot_int_o (-> tptp.int Bool)) % 152.04/152.32 (declare-const tptp.collect_nat_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_nat_o_int (-> (-> (-> tptp.nat Bool) tptp.int) (-> (-> tptp.nat Bool) Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.minus_minus_int_o (-> (-> tptp.int Bool) (-> tptp.int Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.u (-> tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.collect_pname_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_int_o (-> (-> (-> tptp.int Bool) Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_nat_o_o (-> (-> (-> tptp.nat Bool) Bool) (-> (-> tptp.nat Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_pname_o (-> (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_a (-> (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_pname_a (-> (-> tptp.pname tptp.x_a) (-> tptp.pname Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.ord_le1205211808me_o_o (-> (-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_pname_nat (-> (-> tptp.pname tptp.nat) (-> tptp.pname Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_a_o (-> (-> (-> tptp.x_a Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.insert_pname_o (-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_a_o_a (-> (-> (-> tptp.x_a Bool) tptp.x_a) (-> (-> tptp.x_a Bool) Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.finite229719499nt_o_o (-> (-> (-> (-> tptp.int Bool) Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_int (-> (-> tptp.int Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.image_nat_o_nat (-> (-> (-> tptp.nat Bool) tptp.nat) (-> (-> tptp.nat Bool) Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.image_int_nat_o (-> (-> tptp.int tptp.nat Bool) (-> tptp.int Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_int_o_o (-> (-> (-> tptp.int Bool) Bool) (-> (-> tptp.int Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_int_o (-> (-> (-> tptp.int Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_nat_pname_o (-> (-> tptp.nat tptp.pname Bool) (-> tptp.nat Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_nat_int_o (-> (-> tptp.nat tptp.int Bool) (-> tptp.nat Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite_card_pname (-> (-> tptp.pname Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.insert_nat_o (-> (-> tptp.nat Bool) (-> (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite297249702name_o (-> (-> (-> tptp.pname Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.insert_int_o (-> (-> tptp.int Bool) (-> (-> tptp.int Bool) Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite1676163439at_o_o (-> (-> (-> (-> tptp.nat Bool) Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_nat_o (-> (-> (-> tptp.nat Bool) Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_a_o_o (-> (-> (-> tptp.x_a Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_a_o_o (-> (-> (-> (-> tptp.x_a Bool) Bool) Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_nat_int (-> (-> tptp.nat tptp.int) (-> tptp.nat Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.finite1066544169me_o_o (-> (-> (-> (-> tptp.pname Bool) Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_a_o (-> (-> (-> tptp.x_a Bool) Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.p (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.mgt (-> tptp.com tptp.x_a)) % 152.04/152.32 (declare-const tptp.minus_minus_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.insert_pname (-> tptp.pname (-> tptp.pname Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_pname (-> (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_a_pname (-> (-> tptp.x_a tptp.pname) (-> tptp.x_a Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.image_int_o_nat (-> (-> (-> tptp.int Bool) tptp.nat) (-> (-> tptp.int Bool) Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.finite1432773856em_int (-> (-> tptp.int tptp.int tptp.int) (-> (-> tptp.int Bool) tptp.int) Bool)) % 152.04/152.32 (declare-const tptp.member_a (-> tptp.x_a (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_int_o (-> (-> tptp.int Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite_card_a_o (-> (-> (-> tptp.x_a Bool) Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.insert_a_o (-> (-> tptp.x_a Bool) (-> (-> tptp.x_a Bool) Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.insert_nat (-> tptp.nat (-> tptp.nat Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.finite_finite_nat (-> (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.insert_int (-> tptp.int (-> tptp.int Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.image_pname_pname (-> (-> tptp.pname tptp.pname) (-> tptp.pname Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.finite_card_a (-> (-> tptp.x_a Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.image_a_a (-> (-> tptp.x_a tptp.x_a) (-> tptp.x_a Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.finite_card_int_o (-> (-> (-> tptp.int Bool) Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.image_int_o_a (-> (-> (-> tptp.int Bool) tptp.x_a) (-> (-> tptp.int Bool) Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.finite_card_nat_o (-> (-> (-> tptp.nat Bool) Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.image_nat_o_a (-> (-> (-> tptp.nat Bool) tptp.x_a) (-> (-> tptp.nat Bool) Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.finite_card_pname_o (-> (-> (-> tptp.pname Bool) Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 152.04/152.32 (declare-const tptp.image_pname_o_a (-> (-> (-> tptp.pname Bool) tptp.x_a) (-> (-> tptp.pname Bool) Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.finite_card_nat (-> (-> tptp.nat Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.image_pname_int (-> (-> tptp.pname tptp.int) (-> tptp.pname Bool) tptp.int Bool)) % 152.04/152.32 (declare-const tptp.image_nat_nat_o (-> (-> tptp.nat tptp.nat Bool) (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.finite_card_int (-> (-> tptp.int Bool) tptp.nat)) % 152.04/152.32 (declare-const tptp.image_nat_pname (-> (-> tptp.nat tptp.pname) (-> tptp.nat Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.collect_pname (-> (-> tptp.pname Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.image_int_pname (-> (-> tptp.int tptp.pname) (-> tptp.int Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 152.04/152.32 (declare-const tptp.finite1626084323ne_int (-> (-> tptp.int tptp.int tptp.int) (-> (-> tptp.int Bool) tptp.int) Bool)) % 152.04/152.32 (declare-const tptp.member_pname_o (-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.member_a_o (-> (-> tptp.x_a Bool) (-> (-> tptp.x_a Bool) Bool) Bool)) % 152.04/152.32 (declare-const tptp.member_pname (-> tptp.pname (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.minus_minus_a_o (-> (-> tptp.x_a Bool) (-> tptp.x_a Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.member_int (-> tptp.int (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.g (-> tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.minus_minus_pname_o (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.collect_a (-> (-> tptp.x_a Bool) tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.na tptp.nat) % 152.04/152.32 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 152.04/152.32 (declare-const tptp.image_a_int_o (-> (-> tptp.x_a tptp.int Bool) (-> tptp.x_a Bool) (-> tptp.int Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_a_nat_o (-> (-> tptp.x_a tptp.nat Bool) (-> tptp.x_a Bool) (-> tptp.nat Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_a_pname_o (-> (-> tptp.x_a tptp.pname Bool) (-> tptp.x_a Bool) (-> tptp.pname Bool) Bool)) % 152.04/152.32 (declare-const tptp.image_a_a_o (-> (-> tptp.x_a tptp.x_a Bool) (-> tptp.x_a Bool) (-> tptp.x_a Bool) Bool)) % 152.04/152.32 (declare-const tptp.ord_less_eq_o (-> Bool Bool Bool)) % 152.04/152.32 (declare-const tptp.bot_bot_a_o (-> tptp.x_a Bool)) % 152.04/152.32 (declare-const tptp.minus_minus_int (-> tptp.int tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.mgt_call (-> tptp.pname tptp.x_a)) % 152.04/152.32 (declare-const tptp.plus_plus_int (-> tptp.int tptp.int tptp.int)) % 152.04/152.32 (declare-const tptp.wt (-> tptp.com Bool)) % 152.04/152.32 (declare-const tptp.nat_case_o (-> Bool (-> tptp.nat Bool) tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.bot_bot_nat_o (-> tptp.nat Bool)) % 152.04/152.32 (declare-const tptp.bot_bot_pname_o (-> tptp.pname Bool)) % 152.04/152.32 (declare-const tptp.bot_bot_o Bool) % 152.04/152.32 (declare-const tptp.fequal_int (-> tptp.int tptp.int Bool)) % 152.04/152.32 (define @t1 () (@var "Ts" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t2 () (@var "G" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t3 () (_ tptp.p @t2)) % 152.04/152.32 (define @t4 () (@var "A_161" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t5 () (@var "B_26" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t6 () (@var "A_161" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t7 () (@var "B_26" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t8 () (@var "A_161" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t9 () (@var "B_26" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t10 () (@var "A_161" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t11 () (@var "B_26" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t12 () (@var "A_161" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t13 () (@var "B_26" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t14 () (@var "A_161" (-> tptp.pname Bool))) % 152.04/152.32 (define @t15 () (@var "B_26" (-> tptp.pname Bool))) % 152.04/152.32 (define @t16 () (@var "A_161" (-> tptp.nat Bool))) % 152.04/152.32 (define @t17 () (@var "B_26" (-> tptp.nat Bool))) % 152.04/152.32 (define @t18 () (@var "A_161" (-> tptp.int Bool))) % 152.04/152.32 (define @t19 () (@var "B_26" (-> tptp.int Bool))) % 152.04/152.32 (define @t20 () (@var "F_42" (-> tptp.pname Bool))) % 152.04/152.32 (define @t21 () (@var "H" (-> tptp.pname tptp.int Bool))) % 152.04/152.32 (define @t22 () (_ tptp.finite_finite_pname @t20)) % 152.04/152.32 (define @t23 () (@var "H" (-> tptp.pname tptp.nat Bool))) % 152.04/152.32 (define @t24 () (@var "H" (-> tptp.pname tptp.pname Bool))) % 152.04/152.32 (define @t25 () (@var "H" (-> tptp.pname tptp.x_a Bool))) % 152.04/152.32 (define @t26 () (@var "F_42" (-> tptp.nat Bool))) % 152.04/152.32 (define @t27 () (@var "H" (-> tptp.nat tptp.x_a))) % 152.04/152.32 (define @t28 () (_ tptp.finite_finite_nat @t26)) % 152.04/152.32 (define @t29 () (@var "H" (-> tptp.nat tptp.int Bool))) % 152.04/152.32 (define @t30 () (@var "H" (-> tptp.nat tptp.nat Bool))) % 152.04/152.32 (define @t31 () (@var "H" (-> tptp.nat tptp.pname Bool))) % 152.04/152.32 (define @t32 () (@var "H" (-> tptp.nat tptp.x_a Bool))) % 152.04/152.32 (define @t33 () (@var "F_42" (-> tptp.int Bool))) % 152.04/152.32 (define @t34 () (@var "H" (-> tptp.int tptp.x_a))) % 152.04/152.32 (define @t35 () (_ tptp.finite_finite_int @t33)) % 152.04/152.32 (define @t36 () (@var "H" (-> tptp.int tptp.int Bool))) % 152.04/152.32 (define @t37 () (@var "H" (-> tptp.int tptp.nat Bool))) % 152.04/152.32 (define @t38 () (@var "H" (-> tptp.int tptp.pname Bool))) % 152.04/152.32 (define @t39 () (@var "H" (-> tptp.int tptp.x_a Bool))) % 152.04/152.32 (define @t40 () (@var "F_42" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t41 () (@var "H" (-> tptp.x_a tptp.pname))) % 152.04/152.32 (define @t42 () (_ tptp.finite_finite_a @t40)) % 152.04/152.32 (define @t43 () (@var "F_42" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t44 () (@var "H" (-> (-> tptp.int Bool) tptp.pname))) % 152.04/152.32 (define @t45 () (_ tptp.finite_finite_int_o @t43)) % 152.04/152.32 (define @t46 () (@var "F_42" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t47 () (@var "H" (-> (-> tptp.nat Bool) tptp.pname))) % 152.04/152.32 (define @t48 () (_ tptp.finite_finite_nat_o @t46)) % 152.04/152.32 (define @t49 () (@var "F_42" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t50 () (@var "H" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.32 (define @t51 () (_ tptp.finite297249702name_o @t49)) % 152.04/152.32 (define @t52 () (@var "F_42" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t53 () (@var "H" (-> (-> tptp.x_a Bool) tptp.pname))) % 152.04/152.32 (define @t54 () (_ tptp.finite_finite_a_o @t52)) % 152.04/152.32 (define @t55 () (@var "H" (-> tptp.x_a tptp.nat))) % 152.04/152.32 (define @t56 () (@var "H" (-> (-> tptp.int Bool) tptp.nat))) % 152.04/152.32 (define @t57 () (@var "H" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t58 () (@var "H" (-> (-> tptp.pname Bool) tptp.nat))) % 152.04/152.32 (define @t59 () (@var "H" (-> (-> tptp.x_a Bool) tptp.nat))) % 152.04/152.32 (define @t60 () (@var "H" (-> tptp.x_a tptp.int))) % 152.04/152.32 (define @t61 () (@var "H" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t62 () (@var "H" (-> (-> tptp.nat Bool) tptp.int))) % 152.04/152.32 (define @t63 () (@var "H" (-> (-> tptp.pname Bool) tptp.int))) % 152.04/152.32 (define @t64 () (@var "H" (-> (-> tptp.x_a Bool) tptp.int))) % 152.04/152.32 (define @t65 () (@var "H" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t66 () (@var "H" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t67 () (@var "A_159" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t68 () (@var "A_160" (-> tptp.int Bool))) % 152.04/152.32 (define @t69 () (@var "A_159" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t70 () (@var "A_160" (-> tptp.nat Bool))) % 152.04/152.32 (define @t71 () (@var "A_159" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t72 () (@var "A_160" (-> tptp.pname Bool))) % 152.04/152.32 (define @t73 () (@var "A_159" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t74 () (@var "A_160" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t75 () (@var "A_159" (-> tptp.pname Bool))) % 152.04/152.32 (define @t76 () (@var "A_160" tptp.pname)) % 152.04/152.32 (define @t77 () (@var "A_159" (-> tptp.nat Bool))) % 152.04/152.32 (define @t78 () (@var "A_160" tptp.nat)) % 152.04/152.32 (define @t79 () (@var "A_159" (-> tptp.int Bool))) % 152.04/152.32 (define @t80 () (@var "A_160" tptp.int)) % 152.04/152.32 (define @t81 () (@var "A_159" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t82 () (@var "A_160" tptp.x_a)) % 152.04/152.32 (define @t83 () (@var "A_158" (-> tptp.pname Bool))) % 152.04/152.32 (define @t84 () (_ tptp.finite_card_pname @t83)) % 152.04/152.32 (define @t85 () (@var "F_41" (-> tptp.pname tptp.pname))) % 152.04/152.32 (define @t86 () (_ tptp.finite_finite_pname @t83)) % 152.04/152.32 (define @t87 () (@var "A_158" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t88 () (_ tptp.finite_card_a @t87)) % 152.04/152.32 (define @t89 () (@var "F_41" (-> tptp.x_a tptp.x_a))) % 152.04/152.32 (define @t90 () (_ tptp.finite_finite_a @t87)) % 152.04/152.32 (define @t91 () (@var "A_158" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t92 () (_ tptp.finite_card_int_o @t91)) % 152.04/152.32 (define @t93 () (@var "F_41" (-> (-> tptp.int Bool) tptp.x_a))) % 152.04/152.32 (define @t94 () (_ tptp.finite_finite_int_o @t91)) % 152.04/152.32 (define @t95 () (@var "A_158" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t96 () (_ tptp.finite_card_nat_o @t95)) % 152.04/152.32 (define @t97 () (@var "F_41" (-> (-> tptp.nat Bool) tptp.x_a))) % 152.04/152.32 (define @t98 () (_ tptp.finite_finite_nat_o @t95)) % 152.04/152.32 (define @t99 () (@var "A_158" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t100 () (_ tptp.finite_card_pname_o @t99)) % 152.04/152.32 (define @t101 () (@var "F_41" (-> (-> tptp.pname Bool) tptp.x_a))) % 152.04/152.32 (define @t102 () (_ tptp.finite297249702name_o @t99)) % 152.04/152.32 (define @t103 () (@var "A_158" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t104 () (_ tptp.finite_card_a_o @t103)) % 152.04/152.32 (define @t105 () (@var "F_41" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.32 (define @t106 () (_ tptp.finite_finite_a_o @t103)) % 152.04/152.32 (define @t107 () (@var "F_41" (-> tptp.pname tptp.nat))) % 152.04/152.32 (define @t108 () (@var "F_41" (-> tptp.x_a tptp.nat))) % 152.04/152.32 (define @t109 () (@var "F_41" (-> (-> tptp.int Bool) tptp.nat))) % 152.04/152.32 (define @t110 () (@var "F_41" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t111 () (@var "F_41" (-> (-> tptp.pname Bool) tptp.nat))) % 152.04/152.32 (define @t112 () (@var "F_41" (-> (-> tptp.x_a Bool) tptp.nat))) % 152.04/152.32 (define @t113 () (@var "F_41" (-> tptp.pname tptp.int))) % 152.04/152.32 (define @t114 () (@var "F_41" (-> tptp.x_a tptp.int))) % 152.04/152.32 (define @t115 () (@var "F_41" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t116 () (@var "F_41" (-> (-> tptp.nat Bool) tptp.int))) % 152.04/152.32 (define @t117 () (@var "F_41" (-> (-> tptp.pname Bool) tptp.int))) % 152.04/152.32 (define @t118 () (@var "F_41" (-> (-> tptp.x_a Bool) tptp.int))) % 152.04/152.32 (define @t119 () (@var "F_41" (-> tptp.x_a tptp.pname))) % 152.04/152.32 (define @t120 () (@var "A_158" (-> tptp.nat Bool))) % 152.04/152.32 (define @t121 () (_ tptp.finite_card_nat @t120)) % 152.04/152.32 (define @t122 () (@var "F_41" (-> tptp.nat tptp.pname))) % 152.04/152.32 (define @t123 () (_ tptp.finite_finite_nat @t120)) % 152.04/152.32 (define @t124 () (@var "A_158" (-> tptp.int Bool))) % 152.04/152.32 (define @t125 () (@var "F_41" (-> tptp.int tptp.pname))) % 152.04/152.32 (define @t126 () (@var "F_41" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t127 () (@var "F_41" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t128 () (@var "B_89" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t129 () (@var "A_157" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t130 () (@var "B_89" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t131 () (@var "A_157" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t132 () (@var "B_89" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t133 () (@var "A_157" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t134 () (@var "B_89" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t135 () (@var "A_157" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t136 () (@var "B_89" (-> tptp.pname Bool))) % 152.04/152.32 (define @t137 () (@var "A_157" (-> tptp.pname Bool))) % 152.04/152.32 (define @t138 () (@var "B_89" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t139 () (@var "A_157" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t140 () (@var "B_89" (-> tptp.nat Bool))) % 152.04/152.32 (define @t141 () (@var "A_157" (-> tptp.nat Bool))) % 152.04/152.32 (define @t142 () (@var "B_89" (-> tptp.int Bool))) % 152.04/152.32 (define @t143 () (@var "A_157" (-> tptp.int Bool))) % 152.04/152.32 (define @t144 () (@var "B_88" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t145 () (@var "A_156" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t146 () (@var "B_88" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t147 () (@var "A_156" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t148 () (@var "B_88" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t149 () (@var "A_156" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t150 () (@var "B_88" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t151 () (@var "A_156" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t152 () (@var "B_88" (-> tptp.pname Bool))) % 152.04/152.32 (define @t153 () (@var "A_156" (-> tptp.pname Bool))) % 152.04/152.32 (define @t154 () (@var "B_88" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t155 () (@var "A_156" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t156 () (@var "B_88" (-> tptp.nat Bool))) % 152.04/152.32 (define @t157 () (@var "A_156" (-> tptp.nat Bool))) % 152.04/152.32 (define @t158 () (@var "B_88" (-> tptp.int Bool))) % 152.04/152.32 (define @t159 () (@var "A_156" (-> tptp.int Bool))) % 152.04/152.32 (define @t160 () (@var "A_155" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t161 () (@var "X_53" (-> tptp.int Bool))) % 152.04/152.32 (define @t162 () (@var "A_155" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t163 () (@var "X_53" (-> tptp.nat Bool))) % 152.04/152.32 (define @t164 () (@var "A_155" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t165 () (@var "X_53" (-> tptp.pname Bool))) % 152.04/152.32 (define @t166 () (@var "A_155" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t167 () (@var "X_53" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t168 () (@var "A_155" (-> tptp.pname Bool))) % 152.04/152.32 (define @t169 () (@var "X_53" tptp.pname)) % 152.04/152.32 (define @t170 () (@var "A_155" (-> tptp.nat Bool))) % 152.04/152.32 (define @t171 () (@var "X_53" tptp.nat)) % 152.04/152.32 (define @t172 () (@var "A_155" (-> tptp.int Bool))) % 152.04/152.32 (define @t173 () (@var "X_53" tptp.int)) % 152.04/152.32 (define @t174 () (@var "A_155" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t175 () (@var "X_53" tptp.x_a)) % 152.04/152.32 (define @t176 () (@var "A_154" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t177 () (_ tptp.finite_card_int_o @t176)) % 152.04/152.32 (define @t178 () (@var "X_52" (-> tptp.int Bool))) % 152.04/152.32 (define @t179 () (_ tptp.finite_card_int_o (_ (_ tptp.insert_int_o @t178) @t176))) % 152.04/152.32 (define @t180 () (_ (_ tptp.member_int_o @t178) @t176)) % 152.04/152.32 (define @t181 () (@var "A_154" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t182 () (_ tptp.finite_card_nat_o @t181)) % 152.04/152.32 (define @t183 () (@var "X_52" (-> tptp.nat Bool))) % 152.04/152.32 (define @t184 () (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t183) @t181))) % 152.04/152.32 (define @t185 () (_ (_ tptp.member_nat_o @t183) @t181)) % 152.04/152.32 (define @t186 () (@var "A_154" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t187 () (_ tptp.finite_card_pname_o @t186)) % 152.04/152.32 (define @t188 () (@var "X_52" (-> tptp.pname Bool))) % 152.04/152.32 (define @t189 () (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t188) @t186))) % 152.04/152.32 (define @t190 () (_ (_ tptp.member_pname_o @t188) @t186)) % 152.04/152.32 (define @t191 () (@var "A_154" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t192 () (_ tptp.finite_card_a_o @t191)) % 152.04/152.32 (define @t193 () (@var "X_52" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t194 () (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t193) @t191))) % 152.04/152.32 (define @t195 () (_ (_ tptp.member_a_o @t193) @t191)) % 152.04/152.32 (define @t196 () (@var "A_154" (-> tptp.pname Bool))) % 152.04/152.32 (define @t197 () (_ tptp.finite_card_pname @t196)) % 152.04/152.32 (define @t198 () (@var "X_52" tptp.pname)) % 152.04/152.32 (define @t199 () (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t198) @t196))) % 152.04/152.32 (define @t200 () (_ (_ tptp.member_pname @t198) @t196)) % 152.04/152.32 (define @t201 () (@var "A_154" (-> tptp.nat Bool))) % 152.04/152.32 (define @t202 () (_ tptp.finite_card_nat @t201)) % 152.04/152.32 (define @t203 () (@var "X_52" tptp.nat)) % 152.04/152.32 (define @t204 () (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t203) @t201))) % 152.04/152.32 (define @t205 () (_ (_ tptp.member_nat @t203) @t201)) % 152.04/152.32 (define @t206 () (@var "A_154" (-> tptp.int Bool))) % 152.04/152.32 (define @t207 () (_ tptp.finite_card_int @t206)) % 152.04/152.32 (define @t208 () (@var "X_52" tptp.int)) % 152.04/152.32 (define @t209 () (_ tptp.finite_card_int (_ (_ tptp.insert_int @t208) @t206))) % 152.04/152.32 (define @t210 () (_ (_ tptp.member_int @t208) @t206)) % 152.04/152.32 (define @t211 () (@var "A_154" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t212 () (_ tptp.finite_card_a @t211)) % 152.04/152.32 (define @t213 () (@var "X_52" tptp.x_a)) % 152.04/152.32 (define @t214 () (_ tptp.finite_card_a (_ (_ tptp.insert_a @t213) @t211))) % 152.04/152.32 (define @t215 () (_ (_ tptp.member_a @t213) @t211)) % 152.04/152.32 (define @t216 () (@var "A_153" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t217 () (@var "X_51" (-> tptp.int Bool))) % 152.04/152.32 (define @t218 () (@var "A_153" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t219 () (@var "X_51" (-> tptp.nat Bool))) % 152.04/152.32 (define @t220 () (@var "A_153" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t221 () (@var "X_51" (-> tptp.pname Bool))) % 152.04/152.32 (define @t222 () (@var "A_153" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t223 () (@var "X_51" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t224 () (@var "A_153" (-> tptp.pname Bool))) % 152.04/152.32 (define @t225 () (@var "X_51" tptp.pname)) % 152.04/152.32 (define @t226 () (@var "A_153" (-> tptp.nat Bool))) % 152.04/152.32 (define @t227 () (@var "X_51" tptp.nat)) % 152.04/152.32 (define @t228 () (@var "A_153" (-> tptp.int Bool))) % 152.04/152.32 (define @t229 () (@var "X_51" tptp.int)) % 152.04/152.32 (define @t230 () (@var "A_153" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t231 () (@var "X_51" tptp.x_a)) % 152.04/152.32 (define @t232 () (@var "X_1" tptp.x_a)) % 152.04/152.32 (define @t233 () (@var "Q_3" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t234 () (@var "P_13" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t235 () (@list @t232)) % 152.04/152.32 (define @t236 () (@var "X_1" (-> tptp.int Bool))) % 152.04/152.32 (define @t237 () (@var "Q_3" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t238 () (@var "P_13" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t239 () (@list @t236)) % 152.04/152.32 (define @t240 () (@var "X_1" (-> tptp.nat Bool))) % 152.04/152.32 (define @t241 () (@var "Q_3" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t242 () (@var "P_13" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t243 () (@list @t240)) % 152.04/152.32 (define @t244 () (@var "X_1" (-> tptp.pname Bool))) % 152.04/152.32 (define @t245 () (@var "Q_3" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t246 () (@var "P_13" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t247 () (@list @t244)) % 152.04/152.32 (define @t248 () (@var "X_1" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t249 () (@var "Q_3" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t250 () (@var "P_13" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t251 () (@list @t248)) % 152.04/152.32 (define @t252 () (@var "X_1" tptp.pname)) % 152.04/152.32 (define @t253 () (@var "Q_3" (-> tptp.pname Bool))) % 152.04/152.32 (define @t254 () (@var "P_13" (-> tptp.pname Bool))) % 152.04/152.32 (define @t255 () (@list @t252)) % 152.04/152.32 (define @t256 () (@var "X_1" tptp.nat)) % 152.04/152.32 (define @t257 () (@var "Q_3" (-> tptp.nat Bool))) % 152.04/152.32 (define @t258 () (@var "P_13" (-> tptp.nat Bool))) % 152.04/152.32 (define @t259 () (@list @t256)) % 152.04/152.32 (define @t260 () (@var "X_1" tptp.int)) % 152.04/152.32 (define @t261 () (@var "Q_3" (-> tptp.int Bool))) % 152.04/152.32 (define @t262 () (@var "P_13" (-> tptp.int Bool))) % 152.04/152.32 (define @t263 () (@list @t260)) % 152.04/152.32 (define @t264 () (@var "N" tptp.nat)) % 152.04/152.32 (define @t265 () (@var "M" tptp.nat)) % 152.04/152.32 (define @t266 () (_ tptp.minus_minus_nat @t265)) % 152.04/152.32 (define @t267 () (_ @t266 @t264)) % 152.04/152.32 (define @t268 () (_ tptp.suc @t265)) % 152.04/152.32 (define @t269 () (_ tptp.minus_minus_nat @t268)) % 152.04/152.32 (define @t270 () (_ @t269 @t264)) % 152.04/152.32 (define @t271 () (_ tptp.ord_less_eq_nat @t264)) % 152.04/152.32 (define @t272 () (_ @t271 @t265)) % 152.04/152.32 (define @t273 () (@list @t264 @t265)) % 152.04/152.32 (define @t274 () (@var "K" tptp.nat)) % 152.04/152.32 (define @t275 () (@var "N_1" tptp.nat)) % 152.04/152.32 (define @t276 () (_ tptp.ord_less_eq_nat @t275)) % 152.04/152.32 (define @t277 () (@list @t275)) % 152.04/152.32 (define @t278 () (@list @t274)) % 152.04/152.32 (define @t279 () (_ tptp.suc @t264)) % 152.04/152.32 (define @t280 () (@var "I" tptp.nat)) % 152.04/152.32 (define @t281 () (_ tptp.ord_less_eq_nat @t280)) % 152.04/152.32 (define @t282 () (_ @t281 @t264)) % 152.04/152.32 (define @t283 () (@list @t280)) % 152.04/152.32 (define @t284 () (@list @t264)) % 152.04/152.32 (define @t285 () (@var "Y" tptp.nat)) % 152.04/152.32 (define @t286 () (@var "X" tptp.nat)) % 152.04/152.32 (define @t287 () (= @t286 @t285)) % 152.04/152.32 (define @t288 () (@list @t286 @t285)) % 152.04/152.32 (define @t289 () (@var "Nat_1" tptp.nat)) % 152.04/152.32 (define @t290 () (@var "Nat_4" tptp.nat)) % 152.04/152.32 (define @t291 () (_ tptp.suc @t289)) % 152.04/152.32 (define @t292 () (= @t265 @t264)) % 152.04/152.32 (define @t293 () (_ tptp.ord_less_eq_nat @t265)) % 152.04/152.32 (define @t294 () (_ @t293 @t264)) % 152.04/152.32 (define @t295 () (@list @t265 @t264)) % 152.04/152.32 (define @t296 () (@var "I_1" tptp.nat)) % 152.04/152.32 (define @t297 () (_ tptp.ord_less_eq_nat @t296)) % 152.04/152.32 (define @t298 () (@var "J" tptp.nat)) % 152.04/152.32 (define @t299 () (_ tptp.ord_less_eq_nat @t298)) % 152.04/152.32 (define @t300 () (_ @t297 @t298)) % 152.04/152.32 (define @t301 () (@list @t274 @t296 @t298)) % 152.04/152.32 (define @t302 () (_ tptp.minus_minus_nat @t296)) % 152.04/152.32 (define @t303 () (_ @t302 @t298)) % 152.04/152.32 (define @t304 () (_ (_ tptp.minus_minus_nat @t303) @t274)) % 152.04/152.32 (define @t305 () (@list @t296 @t298 @t274)) % 152.04/152.32 (define @t306 () (@var "Q_2" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t307 () (@var "P_12" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t308 () (@var "Q_2" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t309 () (@var "P_12" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t310 () (@var "Q_2" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t311 () (@var "P_12" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t312 () (@var "Q_2" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t313 () (@var "P_12" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t314 () (@var "Q_2" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t315 () (@var "P_12" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t316 () (@var "Q_2" (-> tptp.pname Bool))) % 152.04/152.32 (define @t317 () (@var "P_12" (-> tptp.pname Bool))) % 152.04/152.32 (define @t318 () (@var "Q_2" (-> tptp.nat Bool))) % 152.04/152.32 (define @t319 () (@var "P_12" (-> tptp.nat Bool))) % 152.04/152.32 (define @t320 () (@var "Q_2" (-> tptp.int Bool))) % 152.04/152.32 (define @t321 () (@var "P_12" (-> tptp.int Bool))) % 152.04/152.32 (define @t322 () (@var "A_151" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t323 () (@var "A_152" (-> tptp.int Bool))) % 152.04/152.32 (define @t324 () (@var "A_151" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t325 () (@var "A_152" (-> tptp.nat Bool))) % 152.04/152.32 (define @t326 () (@var "A_151" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t327 () (@var "A_152" (-> tptp.pname Bool))) % 152.04/152.32 (define @t328 () (@var "A_151" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t329 () (@var "A_152" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t330 () (@var "A_151" (-> tptp.pname Bool))) % 152.04/152.32 (define @t331 () (@var "A_152" tptp.pname)) % 152.04/152.32 (define @t332 () (@var "A_151" (-> tptp.nat Bool))) % 152.04/152.32 (define @t333 () (@var "A_152" tptp.nat)) % 152.04/152.32 (define @t334 () (@var "A_151" (-> tptp.int Bool))) % 152.04/152.32 (define @t335 () (@var "A_152" tptp.int)) % 152.04/152.32 (define @t336 () (@var "A_151" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t337 () (@var "A_152" tptp.x_a)) % 152.04/152.32 (define @t338 () (@var "A_150" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t339 () (@var "B_87" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t340 () (@var "A_150" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t341 () (@var "B_87" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t342 () (@var "A_150" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t343 () (@var "B_87" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t344 () (@var "A_150" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t345 () (@var "B_87" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t346 () (@var "A_150" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t347 () (@var "B_87" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t348 () (@var "A_150" (-> tptp.pname Bool))) % 152.04/152.32 (define @t349 () (@var "B_87" (-> tptp.pname Bool))) % 152.04/152.32 (define @t350 () (@var "A_150" (-> tptp.nat Bool))) % 152.04/152.32 (define @t351 () (@var "B_87" (-> tptp.nat Bool))) % 152.04/152.32 (define @t352 () (@var "A_150" (-> tptp.int Bool))) % 152.04/152.32 (define @t353 () (@var "B_87" (-> tptp.int Bool))) % 152.04/152.32 (define @t354 () (@var "A_149" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t355 () (@var "B_86" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t356 () (@var "A_149" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t357 () (@var "B_86" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t358 () (@var "A_149" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t359 () (@var "B_86" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t360 () (@var "A_149" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t361 () (@var "B_86" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t362 () (@var "A_149" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t363 () (@var "B_86" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t364 () (@var "A_149" (-> tptp.pname Bool))) % 152.04/152.32 (define @t365 () (@var "B_86" (-> tptp.pname Bool))) % 152.04/152.32 (define @t366 () (@var "A_149" (-> tptp.nat Bool))) % 152.04/152.32 (define @t367 () (@var "B_86" (-> tptp.nat Bool))) % 152.04/152.32 (define @t368 () (@var "A_149" (-> tptp.int Bool))) % 152.04/152.32 (define @t369 () (@var "B_86" (-> tptp.int Bool))) % 152.04/152.32 (define @t370 () (_ (_ tptp.ord_less_eq_nat @t268) @t264)) % 152.04/152.32 (define @t371 () (= @t265 @t279)) % 152.04/152.32 (define @t372 () (not @t294)) % 152.04/152.32 (define @t373 () (_ @t293 @t279)) % 152.04/152.32 (define @t374 () (_ tptp.ord_less_eq_nat @t279)) % 152.04/152.32 (define @t375 () (_ @t374 @t265)) % 152.04/152.32 (define @t376 () (_ tptp.suc @t274)) % 152.04/152.32 (define @t377 () (@list @t265 @t264 @t274)) % 152.04/152.32 (define @t378 () (_ tptp.minus_minus_nat @t264)) % 152.04/152.32 (define @t379 () (_ @t378 @t274)) % 152.04/152.32 (define @t380 () (_ @t266 @t274)) % 152.04/152.32 (define @t381 () (_ tptp.ord_less_eq_nat @t274)) % 152.04/152.32 (define @t382 () (_ @t381 @t264)) % 152.04/152.32 (define @t383 () (_ @t381 @t265)) % 152.04/152.32 (define @t384 () (@list @t264 @t274 @t265)) % 152.04/152.32 (define @t385 () (@list @t296 @t264)) % 152.04/152.32 (define @t386 () (@var "L" tptp.nat)) % 152.04/152.32 (define @t387 () (@list @t386 @t265 @t264)) % 152.04/152.32 (define @t388 () (_ tptp.minus_minus_nat @t386)) % 152.04/152.32 (define @t389 () (_ @t388 @t265)) % 152.04/152.32 (define @t390 () (_ @t388 @t264)) % 152.04/152.32 (define @t391 () (@var "B_85" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t392 () (_ tptp.finite_finite_a @t391)) % 152.04/152.32 (define @t393 () (@var "A_148" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t394 () (@var "F_40" (-> tptp.x_a tptp.x_a))) % 152.04/152.32 (define @t395 () (_ tptp.ord_less_eq_a_o @t391)) % 152.04/152.32 (define @t396 () (_ tptp.finite_finite_a @t393)) % 152.04/152.32 (define @t397 () (@var "A_148" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t398 () (@var "F_40" (-> (-> tptp.int Bool) tptp.x_a))) % 152.04/152.32 (define @t399 () (_ tptp.finite_finite_int_o @t397)) % 152.04/152.32 (define @t400 () (@var "A_148" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t401 () (@var "F_40" (-> (-> tptp.nat Bool) tptp.x_a))) % 152.04/152.32 (define @t402 () (_ tptp.finite_finite_nat_o @t400)) % 152.04/152.32 (define @t403 () (@var "A_148" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t404 () (@var "F_40" (-> (-> tptp.pname Bool) tptp.x_a))) % 152.04/152.32 (define @t405 () (_ tptp.finite297249702name_o @t403)) % 152.04/152.32 (define @t406 () (@var "A_148" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t407 () (@var "F_40" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.32 (define @t408 () (_ tptp.finite_finite_a_o @t406)) % 152.04/152.32 (define @t409 () (@var "B_85" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t410 () (_ tptp.finite_finite_int_o @t409)) % 152.04/152.32 (define @t411 () (@var "A_148" (-> tptp.pname Bool))) % 152.04/152.32 (define @t412 () (@var "F_40" (-> tptp.pname tptp.int Bool))) % 152.04/152.32 (define @t413 () (_ tptp.ord_less_eq_int_o_o @t409)) % 152.04/152.32 (define @t414 () (_ tptp.finite_finite_pname @t411)) % 152.04/152.32 (define @t415 () (@var "B_85" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t416 () (_ tptp.finite_finite_nat_o @t415)) % 152.04/152.32 (define @t417 () (@var "F_40" (-> tptp.pname tptp.nat Bool))) % 152.04/152.32 (define @t418 () (_ tptp.ord_less_eq_nat_o_o @t415)) % 152.04/152.32 (define @t419 () (@var "B_85" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t420 () (_ tptp.finite297249702name_o @t419)) % 152.04/152.32 (define @t421 () (@var "F_40" (-> tptp.pname tptp.pname Bool))) % 152.04/152.32 (define @t422 () (_ tptp.ord_le1205211808me_o_o @t419)) % 152.04/152.32 (define @t423 () (@var "B_85" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t424 () (_ tptp.finite_finite_a_o @t423)) % 152.04/152.32 (define @t425 () (@var "F_40" (-> tptp.pname tptp.x_a Bool))) % 152.04/152.32 (define @t426 () (_ tptp.ord_less_eq_a_o_o @t423)) % 152.04/152.32 (define @t427 () (@var "B_85" (-> tptp.pname Bool))) % 152.04/152.32 (define @t428 () (_ tptp.finite_finite_pname @t427)) % 152.04/152.32 (define @t429 () (@var "F_40" (-> tptp.pname tptp.pname))) % 152.04/152.32 (define @t430 () (_ tptp.ord_less_eq_pname_o @t427)) % 152.04/152.32 (define @t431 () (@var "A_148" (-> tptp.nat Bool))) % 152.04/152.32 (define @t432 () (@var "F_40" (-> tptp.nat tptp.x_a))) % 152.04/152.32 (define @t433 () (_ tptp.finite_finite_nat @t431)) % 152.04/152.32 (define @t434 () (@var "F_40" (-> tptp.nat tptp.int Bool))) % 152.04/152.32 (define @t435 () (@var "F_40" (-> tptp.nat tptp.nat Bool))) % 152.04/152.32 (define @t436 () (@var "F_40" (-> tptp.nat tptp.pname Bool))) % 152.04/152.32 (define @t437 () (@var "F_40" (-> tptp.nat tptp.x_a Bool))) % 152.04/152.32 (define @t438 () (@var "F_40" (-> tptp.nat tptp.pname))) % 152.04/152.32 (define @t439 () (@var "A_148" (-> tptp.int Bool))) % 152.04/152.32 (define @t440 () (@var "F_40" (-> tptp.int tptp.x_a))) % 152.04/152.32 (define @t441 () (_ tptp.finite_finite_int @t439)) % 152.04/152.32 (define @t442 () (@var "F_40" (-> tptp.int tptp.int Bool))) % 152.04/152.32 (define @t443 () (@var "F_40" (-> tptp.int tptp.nat Bool))) % 152.04/152.32 (define @t444 () (@var "F_40" (-> tptp.int tptp.pname Bool))) % 152.04/152.32 (define @t445 () (@var "F_40" (-> tptp.int tptp.x_a Bool))) % 152.04/152.32 (define @t446 () (@var "F_40" (-> tptp.int tptp.pname))) % 152.04/152.32 (define @t447 () (@var "F_40" (-> tptp.x_a tptp.pname))) % 152.04/152.32 (define @t448 () (@var "F_40" (-> (-> tptp.int Bool) tptp.pname))) % 152.04/152.32 (define @t449 () (@var "F_40" (-> (-> tptp.nat Bool) tptp.pname))) % 152.04/152.32 (define @t450 () (@var "F_40" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.32 (define @t451 () (@var "F_40" (-> (-> tptp.x_a Bool) tptp.pname))) % 152.04/152.32 (define @t452 () (@var "B_85" (-> tptp.nat Bool))) % 152.04/152.32 (define @t453 () (_ tptp.finite_finite_nat @t452)) % 152.04/152.32 (define @t454 () (@var "F_40" (-> tptp.x_a tptp.nat))) % 152.04/152.32 (define @t455 () (_ tptp.ord_less_eq_nat_o @t452)) % 152.04/152.32 (define @t456 () (@var "F_40" (-> (-> tptp.int Bool) tptp.nat))) % 152.04/152.32 (define @t457 () (@var "F_40" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t458 () (@var "F_40" (-> (-> tptp.pname Bool) tptp.nat))) % 152.04/152.32 (define @t459 () (@var "F_40" (-> (-> tptp.x_a Bool) tptp.nat))) % 152.04/152.32 (define @t460 () (@var "B_85" (-> tptp.int Bool))) % 152.04/152.32 (define @t461 () (_ tptp.finite_finite_int @t460)) % 152.04/152.32 (define @t462 () (@var "F_40" (-> tptp.x_a tptp.int))) % 152.04/152.32 (define @t463 () (_ tptp.ord_less_eq_int_o @t460)) % 152.04/152.32 (define @t464 () (@var "F_40" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t465 () (@var "F_40" (-> (-> tptp.nat Bool) tptp.int))) % 152.04/152.32 (define @t466 () (@var "F_40" (-> (-> tptp.pname Bool) tptp.int))) % 152.04/152.32 (define @t467 () (@var "F_40" (-> (-> tptp.x_a Bool) tptp.int))) % 152.04/152.32 (define @t468 () (@var "F_40" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t469 () (@var "F_40" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t470 () (@var "C_34" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t471 () (@var "F_39" (-> (-> tptp.int Bool) tptp.x_a))) % 152.04/152.32 (define @t472 () (_ tptp.image_int_o_a @t471)) % 152.04/152.32 (define @t473 () (@var "B_84" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t474 () (_ tptp.finite_finite_int_o @t470)) % 152.04/152.32 (define @t475 () (@var "A_147" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t476 () (_ (_ tptp.ord_less_eq_int_o_o @t470) @t475)) % 152.04/152.32 (define @t477 () (@list @t470)) % 152.04/152.32 (define @t478 () (_ tptp.ord_less_eq_a_o @t473)) % 152.04/152.32 (define @t479 () (_ tptp.finite_finite_a @t473)) % 152.04/152.32 (define @t480 () (@var "C_34" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t481 () (@var "F_39" (-> (-> tptp.nat Bool) tptp.x_a))) % 152.04/152.32 (define @t482 () (_ tptp.image_nat_o_a @t481)) % 152.04/152.32 (define @t483 () (_ tptp.finite_finite_nat_o @t480)) % 152.04/152.32 (define @t484 () (@var "A_147" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t485 () (_ (_ tptp.ord_less_eq_nat_o_o @t480) @t484)) % 152.04/152.32 (define @t486 () (@list @t480)) % 152.04/152.32 (define @t487 () (@var "C_34" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t488 () (@var "F_39" (-> (-> tptp.pname Bool) tptp.x_a))) % 152.04/152.32 (define @t489 () (_ tptp.image_pname_o_a @t488)) % 152.04/152.32 (define @t490 () (_ tptp.finite297249702name_o @t487)) % 152.04/152.32 (define @t491 () (@var "A_147" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t492 () (_ (_ tptp.ord_le1205211808me_o_o @t487) @t491)) % 152.04/152.32 (define @t493 () (@list @t487)) % 152.04/152.32 (define @t494 () (@var "C_34" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t495 () (@var "F_39" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.32 (define @t496 () (_ tptp.image_a_o_a @t495)) % 152.04/152.32 (define @t497 () (_ tptp.finite_finite_a_o @t494)) % 152.04/152.32 (define @t498 () (@var "A_147" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t499 () (_ (_ tptp.ord_less_eq_a_o_o @t494) @t498)) % 152.04/152.32 (define @t500 () (@list @t494)) % 152.04/152.32 (define @t501 () (@var "C_34" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t502 () (@var "F_39" (-> tptp.x_a tptp.x_a))) % 152.04/152.32 (define @t503 () (_ tptp.image_a_a @t502)) % 152.04/152.32 (define @t504 () (_ tptp.finite_finite_a @t501)) % 152.04/152.32 (define @t505 () (@var "A_147" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t506 () (_ (_ tptp.ord_less_eq_a_o @t501) @t505)) % 152.04/152.32 (define @t507 () (@list @t501)) % 152.04/152.32 (define @t508 () (@var "F_39" (-> tptp.x_a tptp.int Bool))) % 152.04/152.32 (define @t509 () (_ tptp.image_a_int_o @t508)) % 152.04/152.32 (define @t510 () (@var "B_84" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t511 () (_ tptp.ord_less_eq_int_o_o @t510)) % 152.04/152.32 (define @t512 () (_ tptp.finite_finite_int_o @t510)) % 152.04/152.32 (define @t513 () (@var "F_39" (-> tptp.x_a tptp.nat Bool))) % 152.04/152.32 (define @t514 () (_ tptp.image_a_nat_o @t513)) % 152.04/152.32 (define @t515 () (@var "B_84" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t516 () (_ tptp.ord_less_eq_nat_o_o @t515)) % 152.04/152.32 (define @t517 () (_ tptp.finite_finite_nat_o @t515)) % 152.04/152.32 (define @t518 () (@var "F_39" (-> tptp.x_a tptp.pname Bool))) % 152.04/152.32 (define @t519 () (_ tptp.image_a_pname_o @t518)) % 152.04/152.32 (define @t520 () (@var "B_84" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t521 () (_ tptp.ord_le1205211808me_o_o @t520)) % 152.04/152.32 (define @t522 () (_ tptp.finite297249702name_o @t520)) % 152.04/152.32 (define @t523 () (@var "F_39" (-> tptp.x_a tptp.x_a Bool))) % 152.04/152.32 (define @t524 () (_ tptp.image_a_a_o @t523)) % 152.04/152.32 (define @t525 () (@var "B_84" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t526 () (_ tptp.ord_less_eq_a_o_o @t525)) % 152.04/152.32 (define @t527 () (_ tptp.finite_finite_a_o @t525)) % 152.04/152.32 (define @t528 () (@var "F_39" (-> tptp.x_a tptp.pname))) % 152.04/152.32 (define @t529 () (_ tptp.image_a_pname @t528)) % 152.04/152.32 (define @t530 () (@var "B_84" (-> tptp.pname Bool))) % 152.04/152.32 (define @t531 () (_ tptp.ord_less_eq_pname_o @t530)) % 152.04/152.32 (define @t532 () (_ tptp.finite_finite_pname @t530)) % 152.04/152.32 (define @t533 () (@var "F_39" (-> (-> tptp.int Bool) tptp.pname))) % 152.04/152.32 (define @t534 () (_ tptp.image_int_o_pname @t533)) % 152.04/152.32 (define @t535 () (@var "F_39" (-> (-> tptp.nat Bool) tptp.pname))) % 152.04/152.32 (define @t536 () (_ tptp.image_nat_o_pname @t535)) % 152.04/152.32 (define @t537 () (@var "F_39" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.32 (define @t538 () (_ tptp.image_pname_o_pname @t537)) % 152.04/152.32 (define @t539 () (@var "F_39" (-> (-> tptp.x_a Bool) tptp.pname))) % 152.04/152.32 (define @t540 () (_ tptp.image_a_o_pname @t539)) % 152.04/152.32 (define @t541 () (@var "F_39" (-> tptp.x_a tptp.nat))) % 152.04/152.32 (define @t542 () (_ tptp.image_a_nat @t541)) % 152.04/152.32 (define @t543 () (@var "B_84" (-> tptp.nat Bool))) % 152.04/152.32 (define @t544 () (_ tptp.ord_less_eq_nat_o @t543)) % 152.04/152.32 (define @t545 () (_ tptp.finite_finite_nat @t543)) % 152.04/152.32 (define @t546 () (@var "F_39" (-> (-> tptp.int Bool) tptp.nat))) % 152.04/152.32 (define @t547 () (_ tptp.image_int_o_nat @t546)) % 152.04/152.32 (define @t548 () (@var "F_39" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t549 () (_ tptp.image_nat_o_nat @t548)) % 152.04/152.32 (define @t550 () (@var "F_39" (-> (-> tptp.pname Bool) tptp.nat))) % 152.04/152.32 (define @t551 () (_ tptp.image_pname_o_nat @t550)) % 152.04/152.32 (define @t552 () (@var "F_39" (-> (-> tptp.x_a Bool) tptp.nat))) % 152.04/152.32 (define @t553 () (_ tptp.image_a_o_nat @t552)) % 152.04/152.32 (define @t554 () (@var "C_34" (-> tptp.pname Bool))) % 152.04/152.32 (define @t555 () (@var "F_39" (-> tptp.pname tptp.nat))) % 152.04/152.32 (define @t556 () (_ tptp.image_pname_nat @t555)) % 152.04/152.32 (define @t557 () (_ tptp.finite_finite_pname @t554)) % 152.04/152.32 (define @t558 () (@var "A_147" (-> tptp.pname Bool))) % 152.04/152.32 (define @t559 () (_ (_ tptp.ord_less_eq_pname_o @t554) @t558)) % 152.04/152.32 (define @t560 () (@list @t554)) % 152.04/152.32 (define @t561 () (@var "F_39" (-> tptp.x_a tptp.int))) % 152.04/152.32 (define @t562 () (_ tptp.image_a_int @t561)) % 152.04/152.32 (define @t563 () (@var "B_84" (-> tptp.int Bool))) % 152.04/152.32 (define @t564 () (_ tptp.ord_less_eq_int_o @t563)) % 152.04/152.32 (define @t565 () (_ tptp.finite_finite_int @t563)) % 152.04/152.32 (define @t566 () (@var "F_39" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t567 () (_ tptp.image_int_o_int @t566)) % 152.04/152.32 (define @t568 () (@var "F_39" (-> (-> tptp.nat Bool) tptp.int))) % 152.04/152.32 (define @t569 () (_ tptp.image_nat_o_int @t568)) % 152.04/152.32 (define @t570 () (@var "F_39" (-> (-> tptp.pname Bool) tptp.int))) % 152.04/152.32 (define @t571 () (_ tptp.image_pname_o_int @t570)) % 152.04/152.32 (define @t572 () (@var "F_39" (-> (-> tptp.x_a Bool) tptp.int))) % 152.04/152.32 (define @t573 () (_ tptp.image_a_o_int @t572)) % 152.04/152.32 (define @t574 () (@var "F_39" (-> tptp.pname tptp.int))) % 152.04/152.32 (define @t575 () (_ tptp.image_pname_int @t574)) % 152.04/152.32 (define @t576 () (@var "F_39" (-> tptp.pname tptp.int Bool))) % 152.04/152.32 (define @t577 () (_ tptp.image_pname_int_o @t576)) % 152.04/152.32 (define @t578 () (@var "F_39" (-> tptp.pname tptp.nat Bool))) % 152.04/152.32 (define @t579 () (_ tptp.image_pname_nat_o @t578)) % 152.04/152.32 (define @t580 () (@var "F_39" (-> tptp.pname tptp.pname Bool))) % 152.04/152.32 (define @t581 () (_ tptp.image_pname_pname_o @t580)) % 152.04/152.32 (define @t582 () (@var "F_39" (-> tptp.pname tptp.x_a Bool))) % 152.04/152.32 (define @t583 () (_ tptp.image_pname_a_o @t582)) % 152.04/152.32 (define @t584 () (@var "F_39" (-> tptp.pname tptp.pname))) % 152.04/152.32 (define @t585 () (_ tptp.image_pname_pname @t584)) % 152.04/152.32 (define @t586 () (@var "C_34" (-> tptp.nat Bool))) % 152.04/152.32 (define @t587 () (@var "F_39" (-> tptp.nat tptp.x_a))) % 152.04/152.32 (define @t588 () (_ tptp.image_nat_a @t587)) % 152.04/152.32 (define @t589 () (_ tptp.finite_finite_nat @t586)) % 152.04/152.32 (define @t590 () (@var "A_147" (-> tptp.nat Bool))) % 152.04/152.32 (define @t591 () (_ (_ tptp.ord_less_eq_nat_o @t586) @t590)) % 152.04/152.32 (define @t592 () (@list @t586)) % 152.04/152.32 (define @t593 () (@var "F_39" (-> tptp.nat tptp.int Bool))) % 152.04/152.32 (define @t594 () (_ tptp.image_nat_int_o @t593)) % 152.04/152.32 (define @t595 () (@var "F_39" (-> tptp.nat tptp.nat Bool))) % 152.04/152.32 (define @t596 () (_ tptp.image_nat_nat_o @t595)) % 152.04/152.32 (define @t597 () (@var "F_39" (-> tptp.nat tptp.pname Bool))) % 152.04/152.32 (define @t598 () (_ tptp.image_nat_pname_o @t597)) % 152.04/152.32 (define @t599 () (@var "F_39" (-> tptp.nat tptp.x_a Bool))) % 152.04/152.32 (define @t600 () (_ tptp.image_nat_a_o @t599)) % 152.04/152.32 (define @t601 () (@var "F_39" (-> tptp.nat tptp.pname))) % 152.04/152.32 (define @t602 () (_ tptp.image_nat_pname @t601)) % 152.04/152.32 (define @t603 () (@var "C_34" (-> tptp.int Bool))) % 152.04/152.32 (define @t604 () (@var "F_39" (-> tptp.int tptp.x_a))) % 152.04/152.32 (define @t605 () (_ tptp.image_int_a @t604)) % 152.04/152.32 (define @t606 () (_ tptp.finite_finite_int @t603)) % 152.04/152.32 (define @t607 () (@var "A_147" (-> tptp.int Bool))) % 152.04/152.32 (define @t608 () (_ (_ tptp.ord_less_eq_int_o @t603) @t607)) % 152.04/152.32 (define @t609 () (@list @t603)) % 152.04/152.32 (define @t610 () (@var "F_39" (-> tptp.int tptp.int Bool))) % 152.04/152.32 (define @t611 () (_ tptp.image_int_int_o @t610)) % 152.04/152.32 (define @t612 () (@var "F_39" (-> tptp.int tptp.nat Bool))) % 152.04/152.32 (define @t613 () (_ tptp.image_int_nat_o @t612)) % 152.04/152.32 (define @t614 () (@var "F_39" (-> tptp.int tptp.pname Bool))) % 152.04/152.32 (define @t615 () (_ tptp.image_int_pname_o @t614)) % 152.04/152.32 (define @t616 () (@var "F_39" (-> tptp.int tptp.x_a Bool))) % 152.04/152.32 (define @t617 () (_ tptp.image_int_a_o @t616)) % 152.04/152.32 (define @t618 () (@var "F_39" (-> tptp.int tptp.pname))) % 152.04/152.32 (define @t619 () (_ tptp.image_int_pname @t618)) % 152.04/152.32 (define @t620 () (@var "F_39" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t621 () (_ tptp.image_pname_a @t620)) % 152.04/152.32 (define @t622 () (@var "F_39" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t623 () (_ tptp.image_nat_int @t622)) % 152.04/152.32 (define @t624 () (@var "N_3" tptp.nat)) % 152.04/152.32 (define @t625 () (@var "F_38" (-> tptp.nat tptp.pname Bool))) % 152.04/152.32 (define @t626 () (@var "N_4" tptp.nat)) % 152.04/152.32 (define @t627 () (_ (_ tptp.ord_less_eq_nat @t626) @t624)) % 152.04/152.32 (define @t628 () (_ tptp.suc @t275)) % 152.04/152.32 (define @t629 () (@var "F_38" (-> tptp.nat Bool))) % 152.04/152.32 (define @t630 () (@var "F_38" (-> tptp.nat tptp.x_a Bool))) % 152.04/152.32 (define @t631 () (@var "F_38" (-> tptp.nat tptp.nat))) % 152.04/152.32 (define @t632 () (@var "F_38" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t633 () (@var "F_38" (-> tptp.nat tptp.nat Bool))) % 152.04/152.32 (define @t634 () (@var "F_38" (-> tptp.nat tptp.int Bool))) % 152.04/152.32 (define @t635 () (@var "F_37" (-> tptp.nat tptp.int Bool))) % 152.04/152.32 (define @t636 () (@var "A_37" tptp.nat)) % 152.04/152.32 (define @t637 () (@var "A_146" (-> tptp.nat Bool))) % 152.04/152.32 (define @t638 () (_ tptp.member_nat @t636)) % 152.04/152.32 (define @t639 () (_ @t638 @t637)) % 152.04/152.32 (define @t640 () (@list @t636)) % 152.04/152.32 (define @t641 () (_ tptp.member_nat @t256)) % 152.04/152.32 (define @t642 () (_ @t641 @t637)) % 152.04/152.32 (define @t643 () (not (_ tptp.finite_finite_nat @t637))) % 152.04/152.32 (define @t644 () (@var "F_37" (-> tptp.nat tptp.nat Bool))) % 152.04/152.32 (define @t645 () (@var "F_37" (-> tptp.nat tptp.pname Bool))) % 152.04/152.32 (define @t646 () (@var "F_37" (-> tptp.nat tptp.x_a Bool))) % 152.04/152.32 (define @t647 () (@var "F_37" (-> tptp.int tptp.x_a))) % 152.04/152.32 (define @t648 () (@var "A_37" tptp.int)) % 152.04/152.32 (define @t649 () (@var "A_146" (-> tptp.int Bool))) % 152.04/152.32 (define @t650 () (_ tptp.member_int @t648)) % 152.04/152.32 (define @t651 () (_ @t650 @t649)) % 152.04/152.32 (define @t652 () (@list @t648)) % 152.04/152.32 (define @t653 () (_ tptp.member_int @t260)) % 152.04/152.32 (define @t654 () (_ @t653 @t649)) % 152.04/152.32 (define @t655 () (not (_ tptp.finite_finite_int @t649))) % 152.04/152.32 (define @t656 () (@var "F_37" (-> tptp.int tptp.int Bool))) % 152.04/152.32 (define @t657 () (@var "F_37" (-> tptp.int tptp.nat Bool))) % 152.04/152.32 (define @t658 () (@var "F_37" (-> tptp.int tptp.pname Bool))) % 152.04/152.32 (define @t659 () (@var "F_37" (-> tptp.int tptp.x_a Bool))) % 152.04/152.32 (define @t660 () (@var "F_37" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t661 () (@var "A_37" tptp.pname)) % 152.04/152.32 (define @t662 () (@var "A_146" (-> tptp.pname Bool))) % 152.04/152.32 (define @t663 () (_ tptp.member_pname @t661)) % 152.04/152.32 (define @t664 () (_ tptp.member_pname @t252)) % 152.04/152.32 (define @t665 () (@var "F_37" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t666 () (@var "A_145" (-> tptp.nat Bool))) % 152.04/152.32 (define @t667 () (@var "F_36" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t668 () (@var "B_83" tptp.int)) % 152.04/152.32 (define @t669 () (@var "X_50" tptp.nat)) % 152.04/152.32 (define @t670 () (@var "A_145" (-> tptp.pname Bool))) % 152.04/152.32 (define @t671 () (@var "F_36" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t672 () (_ (_ tptp.image_pname_a @t671) @t670)) % 152.04/152.32 (define @t673 () (@var "B_83" tptp.x_a)) % 152.04/152.32 (define @t674 () (_ (_ tptp.member_a @t673) @t672)) % 152.04/152.32 (define @t675 () (@var "X_50" tptp.pname)) % 152.04/152.32 (define @t676 () (_ (_ tptp.member_pname @t675) @t670)) % 152.04/152.32 (define @t677 () (=> @t676 @t674)) % 152.04/152.32 (define @t678 () (_ @t671 @t675)) % 152.04/152.32 (define @t679 () (= @t673 @t678)) % 152.04/152.32 (define @t680 () (@list @t670 @t673 @t671 @t675)) % 152.04/152.32 (define @t681 () (forall @t680 (=> @t679 @t677))) % 152.04/152.32 (define @t682 () (@var "B_82" (-> tptp.int Bool))) % 152.04/152.32 (define @t683 () (@var "A_144" (-> tptp.int Bool))) % 152.04/152.32 (define @t684 () (@var "B_82" (-> tptp.nat Bool))) % 152.04/152.32 (define @t685 () (@var "A_144" (-> tptp.nat Bool))) % 152.04/152.32 (define @t686 () (@var "B_82" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t687 () (@var "A_144" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t688 () (@var "B_81" (-> tptp.int Bool))) % 152.04/152.32 (define @t689 () (@var "C_33" tptp.int)) % 152.04/152.32 (define @t690 () (_ tptp.member_int @t689)) % 152.04/152.32 (define @t691 () (@var "A_143" (-> tptp.int Bool))) % 152.04/152.32 (define @t692 () (@var "B_81" (-> tptp.nat Bool))) % 152.04/152.32 (define @t693 () (@var "C_33" tptp.nat)) % 152.04/152.32 (define @t694 () (_ tptp.member_nat @t693)) % 152.04/152.32 (define @t695 () (@var "A_143" (-> tptp.nat Bool))) % 152.04/152.32 (define @t696 () (@var "B_81" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t697 () (@var "C_33" tptp.x_a)) % 152.04/152.32 (define @t698 () (_ tptp.member_a @t697)) % 152.04/152.32 (define @t699 () (@var "A_143" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t700 () (@var "B_81" (-> tptp.pname Bool))) % 152.04/152.32 (define @t701 () (@var "C_33" tptp.pname)) % 152.04/152.32 (define @t702 () (_ tptp.member_pname @t701)) % 152.04/152.32 (define @t703 () (@var "A_143" (-> tptp.pname Bool))) % 152.04/152.32 (define @t704 () (@var "B_79" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t705 () (@var "B_80" tptp.x_a)) % 152.04/152.32 (define @t706 () (@var "A_142" tptp.x_a)) % 152.04/152.32 (define @t707 () (_ tptp.member_a @t706)) % 152.04/152.32 (define @t708 () (@var "B_79" (-> tptp.int Bool))) % 152.04/152.32 (define @t709 () (@var "B_80" tptp.int)) % 152.04/152.32 (define @t710 () (@var "A_142" tptp.int)) % 152.04/152.32 (define @t711 () (_ tptp.member_int @t710)) % 152.04/152.32 (define @t712 () (@var "B_79" (-> tptp.nat Bool))) % 152.04/152.32 (define @t713 () (@var "B_80" tptp.nat)) % 152.04/152.32 (define @t714 () (@var "A_142" tptp.nat)) % 152.04/152.32 (define @t715 () (_ tptp.member_nat @t714)) % 152.04/152.32 (define @t716 () (@var "B_79" (-> tptp.pname Bool))) % 152.04/152.32 (define @t717 () (@var "B_80" tptp.pname)) % 152.04/152.32 (define @t718 () (@var "A_142" tptp.pname)) % 152.04/152.32 (define @t719 () (_ tptp.member_pname @t718)) % 152.04/152.32 (define @t720 () (@var "A_140" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t721 () (@var "A_141" tptp.x_a)) % 152.04/152.32 (define @t722 () (_ tptp.member_a @t721)) % 152.04/152.32 (define @t723 () (@var "B_78" tptp.x_a)) % 152.04/152.32 (define @t724 () (@var "A_140" (-> tptp.int Bool))) % 152.04/152.32 (define @t725 () (@var "A_141" tptp.int)) % 152.04/152.32 (define @t726 () (_ tptp.member_int @t725)) % 152.04/152.32 (define @t727 () (@var "B_78" tptp.int)) % 152.04/152.32 (define @t728 () (@var "A_140" (-> tptp.nat Bool))) % 152.04/152.32 (define @t729 () (@var "A_141" tptp.nat)) % 152.04/152.32 (define @t730 () (_ tptp.member_nat @t729)) % 152.04/152.32 (define @t731 () (@var "B_78" tptp.nat)) % 152.04/152.32 (define @t732 () (@var "A_140" (-> tptp.pname Bool))) % 152.04/152.32 (define @t733 () (@var "A_141" tptp.pname)) % 152.04/152.32 (define @t734 () (_ tptp.member_pname @t733)) % 152.04/152.32 (define @t735 () (@var "B_78" tptp.pname)) % 152.04/152.32 (define @t736 () (@var "P" (-> tptp.nat Bool))) % 152.04/152.32 (define @t737 () (_ @t736 @t275)) % 152.04/152.32 (define @t738 () (_ @t736 @t628)) % 152.04/152.32 (define @t739 () (forall @t277 (=> @t738 @t737))) % 152.04/152.32 (define @t740 () (_ @t736 @t274)) % 152.04/152.32 (define @t741 () (@var "M_1" tptp.nat)) % 152.04/152.32 (define @t742 () (_ tptp.suc @t741)) % 152.04/152.32 (define @t743 () (@var "M_3" tptp.nat)) % 152.04/152.32 (define @t744 () (@list @t741)) % 152.04/152.32 (define @t745 () (@var "X_49" (-> tptp.int Bool))) % 152.04/152.32 (define @t746 () (@var "X_49" (-> tptp.nat Bool))) % 152.04/152.32 (define @t747 () (@var "X_49" tptp.int)) % 152.04/152.32 (define @t748 () (@var "X_49" tptp.nat)) % 152.04/152.32 (define @t749 () (@var "X_49" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t750 () (@var "X_48" tptp.int)) % 152.04/152.32 (define @t751 () (@var "Y_12" tptp.int)) % 152.04/152.32 (define @t752 () (@var "X_48" tptp.nat)) % 152.04/152.32 (define @t753 () (@var "Y_12" tptp.nat)) % 152.04/152.32 (define @t754 () (@var "X_47" (-> tptp.int Bool))) % 152.04/152.32 (define @t755 () (@var "Y_11" (-> tptp.int Bool))) % 152.04/152.32 (define @t756 () (@var "X_47" (-> tptp.nat Bool))) % 152.04/152.32 (define @t757 () (@var "Y_11" (-> tptp.nat Bool))) % 152.04/152.32 (define @t758 () (@var "X_47" tptp.int)) % 152.04/152.32 (define @t759 () (@var "Y_11" tptp.int)) % 152.04/152.32 (define @t760 () (@var "X_47" tptp.nat)) % 152.04/152.32 (define @t761 () (@var "Y_11" tptp.nat)) % 152.04/152.32 (define @t762 () (@var "X_47" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t763 () (@var "Y_11" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t764 () (@var "Y_10" (-> tptp.int Bool))) % 152.04/152.32 (define @t765 () (@var "X_46" (-> tptp.int Bool))) % 152.04/152.32 (define @t766 () (@var "Y_10" (-> tptp.nat Bool))) % 152.04/152.32 (define @t767 () (@var "X_46" (-> tptp.nat Bool))) % 152.04/152.32 (define @t768 () (@var "Y_10" tptp.int)) % 152.04/152.32 (define @t769 () (@var "X_46" tptp.int)) % 152.04/152.32 (define @t770 () (@var "Y_10" tptp.nat)) % 152.04/152.32 (define @t771 () (@var "X_46" tptp.nat)) % 152.04/152.32 (define @t772 () (@var "Y_10" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t773 () (@var "X_46" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t774 () (@var "Y_9" (-> tptp.int Bool))) % 152.04/152.32 (define @t775 () (@var "X_45" (-> tptp.int Bool))) % 152.04/152.32 (define @t776 () (@var "Y_9" (-> tptp.nat Bool))) % 152.04/152.32 (define @t777 () (@var "X_45" (-> tptp.nat Bool))) % 152.04/152.32 (define @t778 () (@var "Y_9" tptp.int)) % 152.04/152.32 (define @t779 () (@var "X_45" tptp.int)) % 152.04/152.32 (define @t780 () (@var "Y_9" tptp.nat)) % 152.04/152.32 (define @t781 () (@var "X_45" tptp.nat)) % 152.04/152.32 (define @t782 () (@var "Y_9" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t783 () (@var "X_45" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t784 () (@var "C_32" (-> tptp.int Bool))) % 152.04/152.32 (define @t785 () (@var "A_139" (-> tptp.int Bool))) % 152.04/152.32 (define @t786 () (@var "B_77" (-> tptp.int Bool))) % 152.04/152.32 (define @t787 () (@var "C_32" (-> tptp.nat Bool))) % 152.04/152.32 (define @t788 () (@var "A_139" (-> tptp.nat Bool))) % 152.04/152.32 (define @t789 () (@var "B_77" (-> tptp.nat Bool))) % 152.04/152.32 (define @t790 () (@var "C_32" tptp.int)) % 152.04/152.32 (define @t791 () (@var "A_139" tptp.int)) % 152.04/152.32 (define @t792 () (@var "B_77" tptp.int)) % 152.04/152.32 (define @t793 () (@var "C_32" tptp.nat)) % 152.04/152.32 (define @t794 () (@var "A_139" tptp.nat)) % 152.04/152.32 (define @t795 () (@var "B_77" tptp.nat)) % 152.04/152.32 (define @t796 () (@var "C_32" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t797 () (@var "A_139" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t798 () (@var "B_77" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t799 () (@var "A_138" (-> tptp.int Bool))) % 152.04/152.32 (define @t800 () (@var "C_31" (-> tptp.int Bool))) % 152.04/152.32 (define @t801 () (_ tptp.ord_less_eq_int_o @t800)) % 152.04/152.32 (define @t802 () (@var "B_76" (-> tptp.int Bool))) % 152.04/152.32 (define @t803 () (@var "A_138" (-> tptp.nat Bool))) % 152.04/152.32 (define @t804 () (@var "C_31" (-> tptp.nat Bool))) % 152.04/152.32 (define @t805 () (_ tptp.ord_less_eq_nat_o @t804)) % 152.04/152.32 (define @t806 () (@var "B_76" (-> tptp.nat Bool))) % 152.04/152.32 (define @t807 () (@var "A_138" tptp.int)) % 152.04/152.32 (define @t808 () (@var "C_31" tptp.int)) % 152.04/152.32 (define @t809 () (_ tptp.ord_less_eq_int @t808)) % 152.04/152.32 (define @t810 () (@var "B_76" tptp.int)) % 152.04/152.32 (define @t811 () (@var "A_138" tptp.nat)) % 152.04/152.32 (define @t812 () (@var "C_31" tptp.nat)) % 152.04/152.32 (define @t813 () (_ tptp.ord_less_eq_nat @t812)) % 152.04/152.32 (define @t814 () (@var "B_76" tptp.nat)) % 152.04/152.32 (define @t815 () (@var "A_138" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t816 () (@var "C_31" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t817 () (_ tptp.ord_less_eq_a_o @t816)) % 152.04/152.32 (define @t818 () (@var "B_76" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t819 () (@var "C_30" (-> tptp.int Bool))) % 152.04/152.32 (define @t820 () (@var "A_137" (-> tptp.int Bool))) % 152.04/152.32 (define @t821 () (_ tptp.ord_less_eq_int_o @t820)) % 152.04/152.32 (define @t822 () (@var "B_75" (-> tptp.int Bool))) % 152.04/152.32 (define @t823 () (@var "C_30" (-> tptp.nat Bool))) % 152.04/152.32 (define @t824 () (@var "A_137" (-> tptp.nat Bool))) % 152.04/152.32 (define @t825 () (_ tptp.ord_less_eq_nat_o @t824)) % 152.04/152.32 (define @t826 () (@var "B_75" (-> tptp.nat Bool))) % 152.04/152.32 (define @t827 () (@var "C_30" tptp.int)) % 152.04/152.32 (define @t828 () (@var "A_137" tptp.int)) % 152.04/152.32 (define @t829 () (_ tptp.ord_less_eq_int @t828)) % 152.04/152.32 (define @t830 () (@var "B_75" tptp.int)) % 152.04/152.32 (define @t831 () (@var "C_30" tptp.nat)) % 152.04/152.32 (define @t832 () (@var "A_137" tptp.nat)) % 152.04/152.32 (define @t833 () (_ tptp.ord_less_eq_nat @t832)) % 152.04/152.32 (define @t834 () (@var "B_75" tptp.nat)) % 152.04/152.32 (define @t835 () (@var "C_30" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t836 () (@var "A_137" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t837 () (_ tptp.ord_less_eq_a_o @t836)) % 152.04/152.32 (define @t838 () (@var "B_75" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t839 () (@var "A_136" (-> tptp.int Bool))) % 152.04/152.32 (define @t840 () (@var "C_29" (-> tptp.int Bool))) % 152.04/152.32 (define @t841 () (@var "B_74" (-> tptp.int Bool))) % 152.04/152.32 (define @t842 () (@var "A_136" (-> tptp.nat Bool))) % 152.04/152.32 (define @t843 () (@var "C_29" (-> tptp.nat Bool))) % 152.04/152.32 (define @t844 () (@var "B_74" (-> tptp.nat Bool))) % 152.04/152.32 (define @t845 () (@var "A_136" tptp.int)) % 152.04/152.32 (define @t846 () (@var "C_29" tptp.int)) % 152.04/152.32 (define @t847 () (@var "B_74" tptp.int)) % 152.04/152.32 (define @t848 () (@var "A_136" tptp.nat)) % 152.04/152.32 (define @t849 () (@var "C_29" tptp.nat)) % 152.04/152.32 (define @t850 () (@var "B_74" tptp.nat)) % 152.04/152.32 (define @t851 () (@var "A_136" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t852 () (@var "C_29" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t853 () (@var "B_74" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t854 () (@var "Y_8" (-> tptp.int Bool))) % 152.04/152.32 (define @t855 () (@var "X_44" (-> tptp.int Bool))) % 152.04/152.32 (define @t856 () (@var "Y_8" (-> tptp.nat Bool))) % 152.04/152.32 (define @t857 () (@var "X_44" (-> tptp.nat Bool))) % 152.04/152.32 (define @t858 () (@var "Y_8" tptp.int)) % 152.04/152.32 (define @t859 () (@var "X_44" tptp.int)) % 152.04/152.32 (define @t860 () (@var "Y_8" tptp.nat)) % 152.04/152.32 (define @t861 () (@var "X_44" tptp.nat)) % 152.04/152.32 (define @t862 () (@var "Y_8" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t863 () (@var "X_44" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t864 () (@var "Z_6" (-> tptp.int Bool))) % 152.04/152.32 (define @t865 () (@var "X_43" (-> tptp.int Bool))) % 152.04/152.32 (define @t866 () (_ tptp.ord_less_eq_int_o @t865)) % 152.04/152.32 (define @t867 () (@var "Y_7" (-> tptp.int Bool))) % 152.04/152.32 (define @t868 () (@var "Z_6" (-> tptp.nat Bool))) % 152.04/152.32 (define @t869 () (@var "X_43" (-> tptp.nat Bool))) % 152.04/152.32 (define @t870 () (_ tptp.ord_less_eq_nat_o @t869)) % 152.04/152.32 (define @t871 () (@var "Y_7" (-> tptp.nat Bool))) % 152.04/152.32 (define @t872 () (@var "Z_6" tptp.int)) % 152.04/152.32 (define @t873 () (@var "X_43" tptp.int)) % 152.04/152.32 (define @t874 () (_ tptp.ord_less_eq_int @t873)) % 152.04/152.32 (define @t875 () (@var "Y_7" tptp.int)) % 152.04/152.32 (define @t876 () (@var "Z_6" tptp.nat)) % 152.04/152.32 (define @t877 () (@var "X_43" tptp.nat)) % 152.04/152.32 (define @t878 () (_ tptp.ord_less_eq_nat @t877)) % 152.04/152.32 (define @t879 () (@var "Y_7" tptp.nat)) % 152.04/152.32 (define @t880 () (@var "Z_6" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t881 () (@var "X_43" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t882 () (_ tptp.ord_less_eq_a_o @t881)) % 152.04/152.32 (define @t883 () (@var "Y_7" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t884 () (@var "Y_6" (-> tptp.int Bool))) % 152.04/152.32 (define @t885 () (@var "X_42" (-> tptp.int Bool))) % 152.04/152.32 (define @t886 () (@var "Y_6" (-> tptp.nat Bool))) % 152.04/152.32 (define @t887 () (@var "X_42" (-> tptp.nat Bool))) % 152.04/152.32 (define @t888 () (@var "Y_6" tptp.int)) % 152.04/152.32 (define @t889 () (@var "X_42" tptp.int)) % 152.04/152.32 (define @t890 () (@var "Y_6" tptp.nat)) % 152.04/152.32 (define @t891 () (@var "X_42" tptp.nat)) % 152.04/152.32 (define @t892 () (@var "Y_6" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t893 () (@var "X_42" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t894 () (@var "X_41" (-> tptp.int Bool))) % 152.04/152.32 (define @t895 () (@var "Z_5" (-> tptp.int Bool))) % 152.04/152.32 (define @t896 () (_ tptp.ord_less_eq_int_o @t895)) % 152.04/152.32 (define @t897 () (@var "Y_5" (-> tptp.int Bool))) % 152.04/152.32 (define @t898 () (@var "X_41" (-> tptp.nat Bool))) % 152.04/152.32 (define @t899 () (@var "Z_5" (-> tptp.nat Bool))) % 152.04/152.32 (define @t900 () (_ tptp.ord_less_eq_nat_o @t899)) % 152.04/152.32 (define @t901 () (@var "Y_5" (-> tptp.nat Bool))) % 152.04/152.32 (define @t902 () (@var "X_41" tptp.int)) % 152.04/152.32 (define @t903 () (@var "Z_5" tptp.int)) % 152.04/152.32 (define @t904 () (_ tptp.ord_less_eq_int @t903)) % 152.04/152.32 (define @t905 () (@var "Y_5" tptp.int)) % 152.04/152.32 (define @t906 () (@var "X_41" tptp.nat)) % 152.04/152.32 (define @t907 () (@var "Z_5" tptp.nat)) % 152.04/152.32 (define @t908 () (_ tptp.ord_less_eq_nat @t907)) % 152.04/152.32 (define @t909 () (@var "Y_5" tptp.nat)) % 152.04/152.32 (define @t910 () (@var "X_41" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t911 () (@var "Z_5" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t912 () (_ tptp.ord_less_eq_a_o @t911)) % 152.04/152.32 (define @t913 () (@var "Y_5" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t914 () (@var "X_40" tptp.int)) % 152.04/152.32 (define @t915 () (@var "Y_4" tptp.int)) % 152.04/152.32 (define @t916 () (@var "X_40" tptp.nat)) % 152.04/152.32 (define @t917 () (@var "Y_4" tptp.nat)) % 152.04/152.32 (define @t918 () (@var "B_73" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t919 () (@var "A_135" tptp.x_a)) % 152.04/152.32 (define @t920 () (@var "B_73" (-> tptp.int Bool))) % 152.04/152.32 (define @t921 () (@var "A_135" tptp.int)) % 152.04/152.32 (define @t922 () (@var "B_73" (-> tptp.nat Bool))) % 152.04/152.32 (define @t923 () (@var "A_135" tptp.nat)) % 152.04/152.32 (define @t924 () (@var "B_73" (-> tptp.pname Bool))) % 152.04/152.32 (define @t925 () (@var "A_135" tptp.pname)) % 152.04/152.32 (define @t926 () (@var "B_72" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t927 () (_ tptp.member_a @t232)) % 152.04/152.32 (define @t928 () (@var "A_134" tptp.x_a)) % 152.04/152.32 (define @t929 () (@var "B_72" (-> tptp.int Bool))) % 152.04/152.32 (define @t930 () (@var "A_134" tptp.int)) % 152.04/152.32 (define @t931 () (@var "B_72" (-> tptp.nat Bool))) % 152.04/152.32 (define @t932 () (@var "A_134" tptp.nat)) % 152.04/152.32 (define @t933 () (@var "B_72" (-> tptp.pname Bool))) % 152.04/152.32 (define @t934 () (@var "A_134" tptp.pname)) % 152.04/152.32 (define @t935 () (@var "U_1" tptp.x_a)) % 152.04/152.32 (define @t936 () (@var "P_11" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t937 () (@var "A_133" tptp.x_a)) % 152.04/152.32 (define @t938 () (@var "U_1" tptp.int)) % 152.04/152.32 (define @t939 () (@var "P_11" (-> tptp.int Bool))) % 152.04/152.32 (define @t940 () (@var "A_133" tptp.int)) % 152.04/152.32 (define @t941 () (@var "U_1" tptp.nat)) % 152.04/152.32 (define @t942 () (@var "P_11" (-> tptp.nat Bool))) % 152.04/152.32 (define @t943 () (@var "A_133" tptp.nat)) % 152.04/152.32 (define @t944 () (@var "X_39" tptp.int)) % 152.04/152.32 (define @t945 () (@var "A_132" (-> tptp.int Bool))) % 152.04/152.32 (define @t946 () (@var "X_39" tptp.nat)) % 152.04/152.32 (define @t947 () (@var "A_132" (-> tptp.nat Bool))) % 152.04/152.32 (define @t948 () (@var "X_39" tptp.x_a)) % 152.04/152.32 (define @t949 () (@var "A_132" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t950 () (@var "X_39" tptp.pname)) % 152.04/152.32 (define @t951 () (@var "A_132" (-> tptp.pname Bool))) % 152.04/152.32 (define @t952 () (@var "P_10" (-> tptp.int Bool))) % 152.04/152.32 (define @t953 () (@var "P_10" (-> tptp.nat Bool))) % 152.04/152.32 (define @t954 () (@var "A_131" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t955 () (@var "X_38" tptp.x_a)) % 152.04/152.32 (define @t956 () (_ tptp.insert_a @t955)) % 152.04/152.32 (define @t957 () (_ @t956 @t954)) % 152.04/152.32 (define @t958 () (@var "A_130" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t959 () (@var "X_37" tptp.x_a)) % 152.04/152.32 (define @t960 () (_ tptp.insert_a @t959)) % 152.04/152.32 (define @t961 () (@var "Y_3" tptp.x_a)) % 152.04/152.32 (define @t962 () (_ tptp.insert_a @t961)) % 152.04/152.32 (define @t963 () (@var "A_128" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t964 () (@var "A_129" tptp.x_a)) % 152.04/152.32 (define @t965 () (_ tptp.member_a @t964)) % 152.04/152.32 (define @t966 () (@var "B_71" tptp.x_a)) % 152.04/152.32 (define @t967 () (@var "A_128" (-> tptp.int Bool))) % 152.04/152.32 (define @t968 () (@var "A_129" tptp.int)) % 152.04/152.32 (define @t969 () (_ tptp.member_int @t968)) % 152.04/152.32 (define @t970 () (@var "B_71" tptp.int)) % 152.04/152.32 (define @t971 () (@var "A_128" (-> tptp.nat Bool))) % 152.04/152.32 (define @t972 () (@var "A_129" tptp.nat)) % 152.04/152.32 (define @t973 () (_ tptp.member_nat @t972)) % 152.04/152.32 (define @t974 () (@var "B_71" tptp.nat)) % 152.04/152.32 (define @t975 () (@var "A_128" (-> tptp.pname Bool))) % 152.04/152.32 (define @t976 () (@var "A_129" tptp.pname)) % 152.04/152.32 (define @t977 () (_ tptp.member_pname @t976)) % 152.04/152.32 (define @t978 () (@var "B_71" tptp.pname)) % 152.04/152.32 (define @t979 () (@var "X_36" tptp.x_a)) % 152.04/152.32 (define @t980 () (@var "A_127" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t981 () (@var "Y_2" tptp.x_a)) % 152.04/152.32 (define @t982 () (@var "B_70" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t983 () (@var "A_126" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t984 () (@var "X_35" tptp.x_a)) % 152.04/152.32 (define @t985 () (_ tptp.insert_a @t984)) % 152.04/152.32 (define @t986 () (_ tptp.member_a @t984)) % 152.04/152.32 (define @t987 () (@var "B_70" (-> tptp.int Bool))) % 152.04/152.32 (define @t988 () (@var "A_126" (-> tptp.int Bool))) % 152.04/152.32 (define @t989 () (@var "X_35" tptp.int)) % 152.04/152.32 (define @t990 () (_ tptp.insert_int @t989)) % 152.04/152.32 (define @t991 () (_ tptp.member_int @t989)) % 152.04/152.32 (define @t992 () (@var "B_70" (-> tptp.nat Bool))) % 152.04/152.32 (define @t993 () (@var "A_126" (-> tptp.nat Bool))) % 152.04/152.32 (define @t994 () (@var "X_35" tptp.nat)) % 152.04/152.32 (define @t995 () (_ tptp.insert_nat @t994)) % 152.04/152.32 (define @t996 () (_ tptp.member_nat @t994)) % 152.04/152.32 (define @t997 () (@var "B_70" (-> tptp.pname Bool))) % 152.04/152.32 (define @t998 () (@var "A_126" (-> tptp.pname Bool))) % 152.04/152.32 (define @t999 () (@var "X_35" tptp.pname)) % 152.04/152.32 (define @t1000 () (_ tptp.insert_pname @t999)) % 152.04/152.32 (define @t1001 () (_ tptp.member_pname @t999)) % 152.04/152.32 (define @t1002 () (@var "B_68" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1003 () (@var "B_69" tptp.x_a)) % 152.04/152.32 (define @t1004 () (@var "A_125" tptp.x_a)) % 152.04/152.32 (define @t1005 () (_ tptp.member_a @t1004)) % 152.04/152.32 (define @t1006 () (@var "B_68" (-> tptp.int Bool))) % 152.04/152.32 (define @t1007 () (@var "B_69" tptp.int)) % 152.04/152.32 (define @t1008 () (@var "A_125" tptp.int)) % 152.04/152.32 (define @t1009 () (_ tptp.member_int @t1008)) % 152.04/152.32 (define @t1010 () (@var "B_68" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1011 () (@var "B_69" tptp.nat)) % 152.04/152.32 (define @t1012 () (@var "A_125" tptp.nat)) % 152.04/152.32 (define @t1013 () (_ tptp.member_nat @t1012)) % 152.04/152.32 (define @t1014 () (@var "B_68" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1015 () (@var "B_69" tptp.pname)) % 152.04/152.32 (define @t1016 () (@var "A_125" tptp.pname)) % 152.04/152.32 (define @t1017 () (_ tptp.member_pname @t1016)) % 152.04/152.32 (define @t1018 () (@var "A_123" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1019 () (@var "A_124" tptp.x_a)) % 152.04/152.32 (define @t1020 () (@var "A_123" (-> tptp.int Bool))) % 152.04/152.32 (define @t1021 () (@var "A_124" tptp.int)) % 152.04/152.32 (define @t1022 () (@var "A_123" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1023 () (@var "A_124" tptp.nat)) % 152.04/152.32 (define @t1024 () (@var "A_123" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1025 () (@var "A_124" tptp.pname)) % 152.04/152.32 (define @t1026 () (@var "A_122" (-> tptp.int Bool))) % 152.04/152.32 (define @t1027 () (@var "A_122" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1028 () (@var "A_122" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1029 () (@var "A_121" (-> tptp.int Bool))) % 152.04/152.32 (define @t1030 () (@var "B_67" (-> tptp.int Bool))) % 152.04/152.32 (define @t1031 () (@var "A_121" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1032 () (@var "B_67" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1033 () (@var "A_121" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1034 () (@var "B_67" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1035 () (@var "B_66" (-> tptp.int Bool))) % 152.04/152.32 (define @t1036 () (@var "A_120" (-> tptp.int Bool))) % 152.04/152.32 (define @t1037 () (@var "B_66" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1038 () (@var "A_120" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1039 () (@var "B_66" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1040 () (@var "A_120" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1041 () (@var "A_119" (-> tptp.int Bool))) % 152.04/152.32 (define @t1042 () (@var "B_65" (-> tptp.int Bool))) % 152.04/152.32 (define @t1043 () (@var "A_119" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1044 () (@var "B_65" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1045 () (@var "A_119" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1046 () (@var "B_65" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1047 () (@var "B_64" (-> tptp.int Bool))) % 152.04/152.32 (define @t1048 () (@var "X_34" tptp.int)) % 152.04/152.32 (define @t1049 () (_ tptp.member_int @t1048)) % 152.04/152.32 (define @t1050 () (@var "A_118" (-> tptp.int Bool))) % 152.04/152.32 (define @t1051 () (@var "B_64" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1052 () (@var "X_34" tptp.nat)) % 152.04/152.32 (define @t1053 () (_ tptp.member_nat @t1052)) % 152.04/152.32 (define @t1054 () (@var "A_118" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1055 () (@var "B_64" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1056 () (@var "X_34" tptp.x_a)) % 152.04/152.32 (define @t1057 () (_ tptp.member_a @t1056)) % 152.04/152.32 (define @t1058 () (@var "A_118" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1059 () (@var "B_64" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1060 () (@var "X_34" tptp.pname)) % 152.04/152.32 (define @t1061 () (_ tptp.member_pname @t1060)) % 152.04/152.32 (define @t1062 () (@var "A_118" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1063 () (@var "B_63" (-> tptp.int Bool))) % 152.04/152.32 (define @t1064 () (@var "X_33" tptp.int)) % 152.04/152.32 (define @t1065 () (_ tptp.member_int @t1064)) % 152.04/152.32 (define @t1066 () (@var "A_117" (-> tptp.int Bool))) % 152.04/152.32 (define @t1067 () (@var "B_63" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1068 () (@var "X_33" tptp.nat)) % 152.04/152.32 (define @t1069 () (_ tptp.member_nat @t1068)) % 152.04/152.32 (define @t1070 () (@var "A_117" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1071 () (@var "B_63" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1072 () (@var "X_33" tptp.x_a)) % 152.04/152.32 (define @t1073 () (_ tptp.member_a @t1072)) % 152.04/152.32 (define @t1074 () (@var "A_117" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1075 () (@var "B_63" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1076 () (@var "X_33" tptp.pname)) % 152.04/152.32 (define @t1077 () (_ tptp.member_pname @t1076)) % 152.04/152.32 (define @t1078 () (@var "A_117" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1079 () (@var "B_62" (-> tptp.int Bool))) % 152.04/152.32 (define @t1080 () (@var "X_32" tptp.int)) % 152.04/152.32 (define @t1081 () (_ tptp.member_int @t1080)) % 152.04/152.32 (define @t1082 () (@var "A_116" (-> tptp.int Bool))) % 152.04/152.32 (define @t1083 () (@var "B_62" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1084 () (@var "X_32" tptp.nat)) % 152.04/152.32 (define @t1085 () (_ tptp.member_nat @t1084)) % 152.04/152.32 (define @t1086 () (@var "A_116" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1087 () (@var "B_62" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1088 () (@var "X_32" tptp.x_a)) % 152.04/152.32 (define @t1089 () (_ tptp.member_a @t1088)) % 152.04/152.32 (define @t1090 () (@var "A_116" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1091 () (@var "B_62" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1092 () (@var "X_32" tptp.pname)) % 152.04/152.32 (define @t1093 () (_ tptp.member_pname @t1092)) % 152.04/152.32 (define @t1094 () (@var "A_116" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1095 () (@var "C_28" (-> tptp.int Bool))) % 152.04/152.32 (define @t1096 () (@var "A_115" (-> tptp.int Bool))) % 152.04/152.32 (define @t1097 () (_ tptp.ord_less_eq_int_o @t1096)) % 152.04/152.32 (define @t1098 () (@var "B_61" (-> tptp.int Bool))) % 152.04/152.32 (define @t1099 () (@var "C_28" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1100 () (@var "A_115" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1101 () (_ tptp.ord_less_eq_nat_o @t1100)) % 152.04/152.32 (define @t1102 () (@var "B_61" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1103 () (@var "C_28" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1104 () (@var "A_115" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1105 () (_ tptp.ord_less_eq_a_o @t1104)) % 152.04/152.32 (define @t1106 () (@var "B_61" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1107 () (@var "A_114" (-> tptp.int Bool))) % 152.04/152.32 (define @t1108 () (@var "B_60" (-> tptp.int Bool))) % 152.04/152.32 (define @t1109 () (@var "A_114" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1110 () (@var "B_60" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1111 () (@var "A_114" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1112 () (@var "B_60" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1113 () (@var "F_35" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1114 () (@var "Z_4" tptp.int)) % 152.04/152.32 (define @t1115 () (@var "A_113" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1116 () (@var "F_35" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1117 () (@var "Z_4" tptp.x_a)) % 152.04/152.32 (define @t1118 () (@var "A_113" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1119 () (@var "A_112" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1120 () (@var "F_34" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1121 () (@var "X_31" tptp.nat)) % 152.04/152.32 (define @t1122 () (@var "A_112" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1123 () (@var "F_34" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1124 () (@var "X_31" tptp.pname)) % 152.04/152.32 (define @t1125 () (@var "A_111" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1126 () (@var "F_33" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1127 () (@var "B_59" tptp.int)) % 152.04/152.32 (define @t1128 () (@var "X_30" tptp.nat)) % 152.04/152.32 (define @t1129 () (@var "A_111" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1130 () (@var "F_33" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1131 () (@var "B_59" tptp.x_a)) % 152.04/152.32 (define @t1132 () (@var "X_30" tptp.pname)) % 152.04/152.32 (define @t1133 () (@var "Xa" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1134 () (@var "Y_1" tptp.x_a)) % 152.04/152.32 (define @t1135 () (_ tptp.insert_a @t232)) % 152.04/152.32 (define @t1136 () (@var "Xa" (-> tptp.int Bool))) % 152.04/152.32 (define @t1137 () (@var "Y_1" tptp.int)) % 152.04/152.32 (define @t1138 () (_ tptp.insert_int @t260)) % 152.04/152.32 (define @t1139 () (@var "Xa" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1140 () (@var "Y_1" tptp.nat)) % 152.04/152.32 (define @t1141 () (_ tptp.insert_nat @t256)) % 152.04/152.32 (define @t1142 () (@var "Xa" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1143 () (@var "Y_1" tptp.pname)) % 152.04/152.32 (define @t1144 () (_ tptp.insert_pname @t252)) % 152.04/152.32 (define @t1145 () (@var "G_4" (-> tptp.int Bool))) % 152.04/152.32 (define @t1146 () (@var "F_32" (-> tptp.int Bool))) % 152.04/152.32 (define @t1147 () (@var "G_4" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1148 () (@var "F_32" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1149 () (@var "G_4" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1150 () (@var "F_32" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1151 () (@var "X_29" tptp.int)) % 152.04/152.32 (define @t1152 () (@var "G_3" (-> tptp.int Bool))) % 152.04/152.32 (define @t1153 () (@var "F_31" (-> tptp.int Bool))) % 152.04/152.32 (define @t1154 () (@var "X_29" tptp.nat)) % 152.04/152.32 (define @t1155 () (@var "G_3" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1156 () (@var "F_31" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1157 () (@var "X_29" tptp.x_a)) % 152.04/152.32 (define @t1158 () (@var "G_3" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1159 () (@var "F_31" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1160 () (@var "X_28" tptp.int)) % 152.04/152.32 (define @t1161 () (@var "G_2" (-> tptp.int Bool))) % 152.04/152.32 (define @t1162 () (@var "F_30" (-> tptp.int Bool))) % 152.04/152.32 (define @t1163 () (@var "X_28" tptp.nat)) % 152.04/152.32 (define @t1164 () (@var "G_2" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1165 () (@var "F_30" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1166 () (@var "X_28" tptp.x_a)) % 152.04/152.32 (define @t1167 () (@var "G_2" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1168 () (@var "F_30" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1169 () (@var "B_58" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1170 () (@var "A_110" tptp.x_a)) % 152.04/152.32 (define @t1171 () (@var "B_58" (-> tptp.int Bool))) % 152.04/152.32 (define @t1172 () (@var "A_110" tptp.int)) % 152.04/152.32 (define @t1173 () (@var "B_58" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1174 () (@var "A_110" tptp.nat)) % 152.04/152.32 (define @t1175 () (@var "B_57" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1176 () (@var "A_109" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1177 () (_ (_ tptp.ord_less_eq_a_o @t1176) @t1175)) % 152.04/152.32 (define @t1178 () (@var "X_27" tptp.x_a)) % 152.04/152.32 (define @t1179 () (_ (_ tptp.member_a @t1178) @t1175)) % 152.04/152.32 (define @t1180 () (and @t1179 @t1177)) % 152.04/152.32 (define @t1181 () (_ (_ tptp.insert_a @t1178) @t1176)) % 152.04/152.32 (define @t1182 () (_ (_ tptp.ord_less_eq_a_o @t1181) @t1175)) % 152.04/152.32 (define @t1183 () (= @t1182 @t1180)) % 152.04/152.32 (define @t1184 () (@list @t1178 @t1176 @t1175)) % 152.04/152.32 (define @t1185 () (forall @t1184 @t1183)) % 152.04/152.32 (define @t1186 () (@var "B_57" (-> tptp.int Bool))) % 152.04/152.32 (define @t1187 () (@var "A_109" (-> tptp.int Bool))) % 152.04/152.32 (define @t1188 () (@var "X_27" tptp.int)) % 152.04/152.32 (define @t1189 () (@var "B_57" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1190 () (@var "A_109" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1191 () (@var "X_27" tptp.nat)) % 152.04/152.32 (define @t1192 () (@var "B_57" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1193 () (@var "A_109" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1194 () (@var "X_27" tptp.pname)) % 152.04/152.32 (define @t1195 () (@var "B_56" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1196 () (@var "A_108" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1197 () (_ tptp.ord_less_eq_a_o @t1196)) % 152.04/152.32 (define @t1198 () (@var "X_26" tptp.x_a)) % 152.04/152.32 (define @t1199 () (@var "B_56" (-> tptp.int Bool))) % 152.04/152.32 (define @t1200 () (@var "A_108" (-> tptp.int Bool))) % 152.04/152.32 (define @t1201 () (_ tptp.ord_less_eq_int_o @t1200)) % 152.04/152.32 (define @t1202 () (@var "X_26" tptp.int)) % 152.04/152.32 (define @t1203 () (@var "B_56" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1204 () (@var "A_108" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1205 () (_ tptp.ord_less_eq_nat_o @t1204)) % 152.04/152.32 (define @t1206 () (@var "X_26" tptp.nat)) % 152.04/152.32 (define @t1207 () (@var "B_56" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1208 () (@var "A_108" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1209 () (_ tptp.ord_less_eq_pname_o @t1208)) % 152.04/152.32 (define @t1210 () (@var "X_26" tptp.pname)) % 152.04/152.32 (define @t1211 () (@var "B_54" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1212 () (@var "B_55" tptp.x_a)) % 152.04/152.32 (define @t1213 () (@var "A_107" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1214 () (_ tptp.ord_less_eq_a_o @t1213)) % 152.04/152.32 (define @t1215 () (@var "B_54" (-> tptp.int Bool))) % 152.04/152.32 (define @t1216 () (@var "B_55" tptp.int)) % 152.04/152.32 (define @t1217 () (@var "A_107" (-> tptp.int Bool))) % 152.04/152.32 (define @t1218 () (_ tptp.ord_less_eq_int_o @t1217)) % 152.04/152.32 (define @t1219 () (@var "B_54" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1220 () (@var "B_55" tptp.nat)) % 152.04/152.32 (define @t1221 () (@var "A_107" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1222 () (_ tptp.ord_less_eq_nat_o @t1221)) % 152.04/152.32 (define @t1223 () (@var "D_7" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1224 () (@var "A_106" tptp.x_a)) % 152.04/152.32 (define @t1225 () (_ tptp.insert_a @t1224)) % 152.04/152.32 (define @t1226 () (@var "C_27" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1227 () (@var "D_7" (-> tptp.int Bool))) % 152.04/152.32 (define @t1228 () (@var "A_106" tptp.int)) % 152.04/152.32 (define @t1229 () (_ tptp.insert_int @t1228)) % 152.04/152.32 (define @t1230 () (@var "C_27" (-> tptp.int Bool))) % 152.04/152.32 (define @t1231 () (@var "D_7" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1232 () (@var "A_106" tptp.nat)) % 152.04/152.32 (define @t1233 () (_ tptp.insert_nat @t1232)) % 152.04/152.32 (define @t1234 () (@var "C_27" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1235 () (@var "B_53" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1236 () (@var "F_29" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1237 () (_ tptp.image_nat_int @t1236)) % 152.04/152.32 (define @t1238 () (@var "A_105" tptp.nat)) % 152.04/152.32 (define @t1239 () (@var "B_53" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1240 () (@var "F_29" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1241 () (_ tptp.image_pname_a @t1240)) % 152.04/152.32 (define @t1242 () (@var "A_105" tptp.pname)) % 152.04/152.32 (define @t1243 () (@var "A_104" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1244 () (@var "F_28" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1245 () (_ (_ tptp.image_nat_int @t1244) @t1243)) % 152.04/152.32 (define @t1246 () (@var "X_25" tptp.nat)) % 152.04/152.32 (define @t1247 () (@var "A_104" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1248 () (@var "F_28" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1249 () (_ (_ tptp.image_pname_a @t1248) @t1247)) % 152.04/152.32 (define @t1250 () (@var "X_25" tptp.pname)) % 152.04/152.32 (define @t1251 () (@var "AA" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1252 () (@var "F_27" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1253 () (_ tptp.image_nat_int @t1252)) % 152.04/152.32 (define @t1254 () (@var "B_52" (-> tptp.int Bool))) % 152.04/152.32 (define @t1255 () (@var "A_103" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1256 () (@var "AA" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1257 () (@var "F_27" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1258 () (_ tptp.image_pname_a @t1257)) % 152.04/152.32 (define @t1259 () (@var "B_52" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1260 () (@var "A_103" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1261 () (@var "B_51" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1262 () (@var "F_26" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1263 () (_ tptp.image_nat_int @t1262)) % 152.04/152.32 (define @t1264 () (@var "A_102" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1265 () (@var "B_51" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1266 () (@var "F_26" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1267 () (_ tptp.image_pname_a @t1266)) % 152.04/152.32 (define @t1268 () (@var "A_102" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1269 () (@var "A_101" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1270 () (@var "F_25" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1271 () (@var "B_50" tptp.int)) % 152.04/152.32 (define @t1272 () (@var "A_101" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1273 () (@var "F_25" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1274 () (@var "B_50" tptp.x_a)) % 152.04/152.32 (define @t1275 () (@var "B_49" (-> tptp.int Bool))) % 152.04/152.32 (define @t1276 () (@var "A_100" (-> tptp.int Bool))) % 152.04/152.32 (define @t1277 () (@var "B_49" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1278 () (@var "A_100" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1279 () (@var "B_49" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1280 () (@var "A_100" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1281 () (@var "B_49" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1282 () (@var "A_100" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1283 () (@var "B_48" (-> tptp.int Bool))) % 152.04/152.32 (define @t1284 () (@var "A_99" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1285 () (@var "F_24" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1286 () (@var "B_48" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1287 () (@var "A_99" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1288 () (@var "F_24" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1289 () (@var "G_1" (-> tptp.int Bool))) % 152.04/152.32 (define @t1290 () (@var "F_23" (-> tptp.int Bool))) % 152.04/152.32 (define @t1291 () (@var "G_1" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1292 () (@var "F_23" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1293 () (@var "G_1" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1294 () (@var "F_23" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1295 () (@var "N_2" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1296 () (_ @t641 @t1295)) % 152.04/152.32 (define @t1297 () (_ tptp.finite_finite_nat @t1295)) % 152.04/152.32 (define @t1298 () (@list @t1295)) % 152.04/152.32 (define @t1299 () (@var "C" tptp.com)) % 152.04/152.32 (define @t1300 () (@var "D_6" tptp.int)) % 152.04/152.32 (define @t1301 () (@var "C_26" tptp.int)) % 152.04/152.32 (define @t1302 () (@var "B_47" tptp.int)) % 152.04/152.32 (define @t1303 () (@var "A_98" tptp.int)) % 152.04/152.32 (define @t1304 () (@var "A_97" tptp.int)) % 152.04/152.32 (define @t1305 () (@var "A_97" tptp.nat)) % 152.04/152.32 (define @t1306 () (@var "A_97" tptp.x_a)) % 152.04/152.32 (define @t1307 () (@var "A_97" tptp.pname)) % 152.04/152.32 (define @t1308 () (@var "B_46" (-> tptp.int Bool))) % 152.04/152.32 (define @t1309 () (@var "A_96" (-> tptp.int Bool))) % 152.04/152.32 (define @t1310 () (@var "B_46" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1311 () (@var "A_96" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1312 () (@var "B_46" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1313 () (@var "A_96" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1314 () (@var "A_95" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1315 () (_ tptp.ord_less_eq_nat_o tptp.bot_bot_nat_o)) % 152.04/152.32 (define @t1316 () (@var "A_95" (-> tptp.int Bool))) % 152.04/152.32 (define @t1317 () (_ tptp.ord_less_eq_int_o tptp.bot_bot_int_o)) % 152.04/152.32 (define @t1318 () (@var "A_95" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1319 () (_ tptp.ord_less_eq_a_o tptp.bot_bot_a_o)) % 152.04/152.32 (define @t1320 () (@var "A_93" (-> tptp.int Bool))) % 152.04/152.32 (define @t1321 () (@var "A_94" tptp.int)) % 152.04/152.32 (define @t1322 () (@var "A_93" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1323 () (@var "A_94" tptp.nat)) % 152.04/152.32 (define @t1324 () (@var "A_93" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1325 () (@var "A_94" tptp.x_a)) % 152.04/152.32 (define @t1326 () (@var "A_93" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1327 () (@var "A_94" tptp.pname)) % 152.04/152.32 (define @t1328 () (@var "P_9" (-> tptp.int Bool))) % 152.04/152.32 (define @t1329 () (@var "P_9" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1330 () (@var "P_9" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1331 () (@var "A_92" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1332 () (@var "A_92" (-> tptp.int Bool))) % 152.04/152.32 (define @t1333 () (@var "A_92" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1334 () (@var "A_91" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1335 () (@var "A_91" (-> tptp.int Bool))) % 152.04/152.32 (define @t1336 () (@var "A_91" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1337 () (@var "C_25" tptp.int)) % 152.04/152.32 (define @t1338 () (@var "C_25" tptp.nat)) % 152.04/152.32 (define @t1339 () (@var "C_25" tptp.x_a)) % 152.04/152.32 (define @t1340 () (@var "C_25" tptp.pname)) % 152.04/152.32 (define @t1341 () (@var "P_8" (-> tptp.int Bool))) % 152.04/152.32 (define @t1342 () (@var "P_8" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1343 () (@var "P_8" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1344 () (@var "A_90" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1345 () (@var "A_90" (-> tptp.int Bool))) % 152.04/152.32 (define @t1346 () (@var "A_90" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1347 () (@var "A_89" (-> tptp.int Bool))) % 152.04/152.32 (define @t1348 () (@var "A_89" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1349 () (@var "A_89" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1350 () (@var "A_89" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1351 () (@var "A_88" (-> tptp.int Bool))) % 152.04/152.32 (define @t1352 () (@var "A_88" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1353 () (@var "A_88" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1354 () (@var "A_88" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1355 () (@var "X_24" tptp.nat)) % 152.04/152.32 (define @t1356 () (@var "X_24" tptp.int)) % 152.04/152.32 (define @t1357 () (@var "X_24" tptp.x_a)) % 152.04/152.32 (define @t1358 () (@var "A_86" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1359 () (@var "A_87" tptp.x_a)) % 152.04/152.32 (define @t1360 () (_ tptp.insert_a @t1359)) % 152.04/152.32 (define @t1361 () (@var "A_86" (-> tptp.int Bool))) % 152.04/152.32 (define @t1362 () (@var "A_87" tptp.int)) % 152.04/152.32 (define @t1363 () (_ tptp.insert_int @t1362)) % 152.04/152.32 (define @t1364 () (@var "A_86" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1365 () (@var "A_87" tptp.nat)) % 152.04/152.32 (define @t1366 () (_ tptp.insert_nat @t1365)) % 152.04/152.32 (define @t1367 () (@var "A_86" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1368 () (@var "A_87" tptp.pname)) % 152.04/152.32 (define @t1369 () (_ tptp.insert_pname @t1368)) % 152.04/152.32 (define @t1370 () (@var "A_85" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1371 () (@var "X_23" tptp.x_a)) % 152.04/152.32 (define @t1372 () (_ tptp.insert_a @t1371)) % 152.04/152.32 (define @t1373 () (@var "A_85" (-> tptp.int Bool))) % 152.04/152.32 (define @t1374 () (@var "X_23" tptp.int)) % 152.04/152.32 (define @t1375 () (_ tptp.insert_int @t1374)) % 152.04/152.32 (define @t1376 () (@var "A_85" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1377 () (@var "X_23" tptp.nat)) % 152.04/152.32 (define @t1378 () (_ tptp.insert_nat @t1377)) % 152.04/152.32 (define @t1379 () (@var "A_85" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1380 () (@var "X_23" tptp.pname)) % 152.04/152.32 (define @t1381 () (_ tptp.insert_pname @t1380)) % 152.04/152.32 (define @t1382 () (@var "A_83" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1383 () (@var "A_84" tptp.x_a)) % 152.04/152.32 (define @t1384 () (_ tptp.insert_a @t1383)) % 152.04/152.32 (define @t1385 () (@var "A_83" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1386 () (@var "A_84" tptp.nat)) % 152.04/152.32 (define @t1387 () (_ tptp.insert_nat @t1386)) % 152.04/152.32 (define @t1388 () (@var "A_83" (-> tptp.int Bool))) % 152.04/152.32 (define @t1389 () (@var "A_84" tptp.int)) % 152.04/152.32 (define @t1390 () (_ tptp.insert_int @t1389)) % 152.04/152.32 (define @t1391 () (@var "B_45" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1392 () (@var "A_81" tptp.x_a)) % 152.04/152.32 (define @t1393 () (_ tptp.insert_a @t1392)) % 152.04/152.32 (define @t1394 () (@var "A_82" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1395 () (_ tptp.minus_minus_a_o @t1394)) % 152.04/152.32 (define @t1396 () (@var "B_45" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1397 () (@var "A_81" tptp.nat)) % 152.04/152.32 (define @t1398 () (_ tptp.insert_nat @t1397)) % 152.04/152.32 (define @t1399 () (@var "A_82" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1400 () (_ tptp.minus_minus_nat_o @t1399)) % 152.04/152.32 (define @t1401 () (@var "B_45" (-> tptp.int Bool))) % 152.04/152.32 (define @t1402 () (@var "A_81" tptp.int)) % 152.04/152.32 (define @t1403 () (_ tptp.insert_int @t1402)) % 152.04/152.32 (define @t1404 () (@var "A_82" (-> tptp.int Bool))) % 152.04/152.32 (define @t1405 () (_ tptp.minus_minus_int_o @t1404)) % 152.04/152.32 (define @t1406 () (@var "A_79" tptp.x_a)) % 152.04/152.32 (define @t1407 () (_ tptp.insert_a @t1406)) % 152.04/152.32 (define @t1408 () (@var "B_44" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1409 () (@var "A_80" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1410 () (_ tptp.minus_minus_a_o @t1409)) % 152.04/152.32 (define @t1411 () (@var "A_79" tptp.nat)) % 152.04/152.32 (define @t1412 () (_ tptp.insert_nat @t1411)) % 152.04/152.32 (define @t1413 () (@var "B_44" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1414 () (@var "A_80" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1415 () (_ tptp.minus_minus_nat_o @t1414)) % 152.04/152.32 (define @t1416 () (@var "A_79" tptp.int)) % 152.04/152.32 (define @t1417 () (_ tptp.insert_int @t1416)) % 152.04/152.32 (define @t1418 () (@var "B_44" (-> tptp.int Bool))) % 152.04/152.32 (define @t1419 () (@var "A_80" (-> tptp.int Bool))) % 152.04/152.32 (define @t1420 () (_ tptp.minus_minus_int_o @t1419)) % 152.04/152.32 (define @t1421 () (@var "B_43" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1422 () (@var "X_22" tptp.x_a)) % 152.04/152.32 (define @t1423 () (_ tptp.insert_a @t1422)) % 152.04/152.32 (define @t1424 () (@var "A_78" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1425 () (@var "B_43" (-> tptp.int Bool))) % 152.04/152.32 (define @t1426 () (@var "X_22" tptp.int)) % 152.04/152.32 (define @t1427 () (_ tptp.insert_int @t1426)) % 152.04/152.32 (define @t1428 () (@var "A_78" (-> tptp.int Bool))) % 152.04/152.32 (define @t1429 () (@var "B_43" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1430 () (@var "X_22" tptp.nat)) % 152.04/152.32 (define @t1431 () (_ tptp.insert_nat @t1430)) % 152.04/152.32 (define @t1432 () (@var "A_78" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1433 () (@var "B_43" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1434 () (@var "X_22" tptp.pname)) % 152.04/152.32 (define @t1435 () (_ tptp.insert_pname @t1434)) % 152.04/152.32 (define @t1436 () (@var "A_78" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1437 () (@var "B_42" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1438 () (@var "A_77" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1439 () (_ tptp.ord_less_eq_a_o @t1438)) % 152.04/152.32 (define @t1440 () (@var "X_21" tptp.x_a)) % 152.04/152.32 (define @t1441 () (_ (_ tptp.member_a @t1440) @t1438)) % 152.04/152.32 (define @t1442 () (_ tptp.insert_a @t1440)) % 152.04/152.32 (define @t1443 () (@var "B_42" (-> tptp.int Bool))) % 152.04/152.32 (define @t1444 () (@var "A_77" (-> tptp.int Bool))) % 152.04/152.32 (define @t1445 () (_ tptp.ord_less_eq_int_o @t1444)) % 152.04/152.32 (define @t1446 () (@var "X_21" tptp.int)) % 152.04/152.32 (define @t1447 () (_ (_ tptp.member_int @t1446) @t1444)) % 152.04/152.32 (define @t1448 () (_ tptp.insert_int @t1446)) % 152.04/152.32 (define @t1449 () (@var "B_42" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1450 () (@var "A_77" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1451 () (_ tptp.ord_less_eq_nat_o @t1450)) % 152.04/152.32 (define @t1452 () (@var "X_21" tptp.nat)) % 152.04/152.32 (define @t1453 () (_ (_ tptp.member_nat @t1452) @t1450)) % 152.04/152.32 (define @t1454 () (_ tptp.insert_nat @t1452)) % 152.04/152.32 (define @t1455 () (@var "B_42" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1456 () (@var "A_77" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1457 () (_ tptp.ord_less_eq_pname_o @t1456)) % 152.04/152.32 (define @t1458 () (@var "X_21" tptp.pname)) % 152.04/152.32 (define @t1459 () (_ (_ tptp.member_pname @t1458) @t1456)) % 152.04/152.32 (define @t1460 () (_ tptp.insert_pname @t1458)) % 152.04/152.32 (define @t1461 () (@var "A_76" (-> tptp.int Bool))) % 152.04/152.32 (define @t1462 () (@var "B_41" (-> tptp.int Bool))) % 152.04/152.32 (define @t1463 () (@var "A_76" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1464 () (@var "B_41" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1465 () (@var "A_76" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1466 () (@var "B_41" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1467 () (@var "B_40" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1468 () (@var "A_75" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1469 () (@var "X_20" tptp.x_a)) % 152.04/152.32 (define @t1470 () (@var "B_40" (-> tptp.int Bool))) % 152.04/152.32 (define @t1471 () (@var "A_75" (-> tptp.int Bool))) % 152.04/152.32 (define @t1472 () (@var "X_20" tptp.int)) % 152.04/152.32 (define @t1473 () (@var "B_40" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1474 () (@var "A_75" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1475 () (@var "X_20" tptp.nat)) % 152.04/152.32 (define @t1476 () (@var "B_40" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1477 () (@var "A_75" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1478 () (@var "X_20" tptp.pname)) % 152.04/152.32 (define @t1479 () (@var "B_39" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1480 () (@var "A_74" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1481 () (_ (_ tptp.minus_minus_a_o @t1480) @t1479)) % 152.04/152.32 (define @t1482 () (@var "X_19" tptp.x_a)) % 152.04/152.32 (define @t1483 () (_ tptp.insert_a @t1482)) % 152.04/152.32 (define @t1484 () (_ (_ tptp.minus_minus_a_o (_ @t1483 @t1480)) @t1479)) % 152.04/152.32 (define @t1485 () (_ (_ tptp.member_a @t1482) @t1479)) % 152.04/152.32 (define @t1486 () (@var "B_39" (-> tptp.int Bool))) % 152.04/152.32 (define @t1487 () (@var "A_74" (-> tptp.int Bool))) % 152.04/152.32 (define @t1488 () (_ (_ tptp.minus_minus_int_o @t1487) @t1486)) % 152.04/152.32 (define @t1489 () (@var "X_19" tptp.int)) % 152.04/152.32 (define @t1490 () (_ tptp.insert_int @t1489)) % 152.04/152.32 (define @t1491 () (_ (_ tptp.minus_minus_int_o (_ @t1490 @t1487)) @t1486)) % 152.04/152.32 (define @t1492 () (_ (_ tptp.member_int @t1489) @t1486)) % 152.04/152.32 (define @t1493 () (@var "B_39" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1494 () (@var "A_74" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1495 () (_ (_ tptp.minus_minus_nat_o @t1494) @t1493)) % 152.04/152.32 (define @t1496 () (@var "X_19" tptp.nat)) % 152.04/152.32 (define @t1497 () (_ tptp.insert_nat @t1496)) % 152.04/152.32 (define @t1498 () (_ (_ tptp.minus_minus_nat_o (_ @t1497 @t1494)) @t1493)) % 152.04/152.32 (define @t1499 () (_ (_ tptp.member_nat @t1496) @t1493)) % 152.04/152.32 (define @t1500 () (@var "B_39" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1501 () (@var "A_74" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1502 () (_ (_ tptp.minus_minus_pname_o @t1501) @t1500)) % 152.04/152.32 (define @t1503 () (@var "X_19" tptp.pname)) % 152.04/152.32 (define @t1504 () (_ tptp.insert_pname @t1503)) % 152.04/152.32 (define @t1505 () (_ (_ tptp.minus_minus_pname_o (_ @t1504 @t1501)) @t1500)) % 152.04/152.32 (define @t1506 () (_ (_ tptp.member_pname @t1503) @t1500)) % 152.04/152.32 (define @t1507 () (@var "A_73" (-> tptp.int Bool))) % 152.04/152.32 (define @t1508 () (@var "C_24" (-> tptp.int Bool))) % 152.04/152.32 (define @t1509 () (@var "B_38" (-> tptp.int Bool))) % 152.04/152.32 (define @t1510 () (@var "A_73" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1511 () (@var "C_24" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1512 () (@var "B_38" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1513 () (@var "A_73" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1514 () (@var "C_24" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1515 () (@var "B_38" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1516 () (@var "D_5" (-> tptp.int Bool))) % 152.04/152.32 (define @t1517 () (@var "C_23" (-> tptp.int Bool))) % 152.04/152.32 (define @t1518 () (@var "B_37" (-> tptp.int Bool))) % 152.04/152.32 (define @t1519 () (@var "A_72" (-> tptp.int Bool))) % 152.04/152.32 (define @t1520 () (@var "D_5" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1521 () (@var "C_23" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1522 () (@var "B_37" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1523 () (@var "A_72" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1524 () (@var "D_5" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1525 () (@var "C_23" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1526 () (@var "B_37" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1527 () (@var "A_72" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1528 () (@var "A_71" (-> tptp.int Bool))) % 152.04/152.32 (define @t1529 () (@var "B_36" (-> tptp.int Bool))) % 152.04/152.32 (define @t1530 () (@var "A_71" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1531 () (@var "B_36" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1532 () (@var "A_71" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1533 () (@var "B_36" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1534 () (@var "B_35" tptp.x_a)) % 152.04/152.32 (define @t1535 () (@var "A_70" tptp.x_a)) % 152.04/152.32 (define @t1536 () (@var "B_35" tptp.nat)) % 152.04/152.32 (define @t1537 () (@var "A_70" tptp.nat)) % 152.04/152.32 (define @t1538 () (@var "B_35" tptp.int)) % 152.04/152.32 (define @t1539 () (@var "A_70" tptp.int)) % 152.04/152.32 (define @t1540 () (@var "A_69" tptp.x_a)) % 152.04/152.32 (define @t1541 () (@var "B_34" tptp.x_a)) % 152.04/152.32 (define @t1542 () (@var "A_69" tptp.int)) % 152.04/152.32 (define @t1543 () (@var "B_34" tptp.int)) % 152.04/152.32 (define @t1544 () (@var "A_69" tptp.nat)) % 152.04/152.32 (define @t1545 () (@var "B_34" tptp.nat)) % 152.04/152.32 (define @t1546 () (@var "A_69" tptp.pname)) % 152.04/152.32 (define @t1547 () (@var "B_34" tptp.pname)) % 152.04/152.32 (define @t1548 () (@var "C_22" tptp.x_a)) % 152.04/152.32 (define @t1549 () (@var "B_33" tptp.x_a)) % 152.04/152.32 (define @t1550 () (@var "D_4" tptp.x_a)) % 152.04/152.32 (define @t1551 () (@var "A_68" tptp.x_a)) % 152.04/152.32 (define @t1552 () (@var "C_22" tptp.nat)) % 152.04/152.32 (define @t1553 () (@var "B_33" tptp.nat)) % 152.04/152.32 (define @t1554 () (@var "D_4" tptp.nat)) % 152.04/152.32 (define @t1555 () (@var "A_68" tptp.nat)) % 152.04/152.32 (define @t1556 () (@var "C_22" tptp.int)) % 152.04/152.32 (define @t1557 () (@var "B_33" tptp.int)) % 152.04/152.32 (define @t1558 () (@var "D_4" tptp.int)) % 152.04/152.32 (define @t1559 () (@var "A_68" tptp.int)) % 152.04/152.32 (define @t1560 () (@var "A_67" tptp.x_a)) % 152.04/152.32 (define @t1561 () (@var "B_32" tptp.x_a)) % 152.04/152.32 (define @t1562 () (@var "A_67" tptp.int)) % 152.04/152.32 (define @t1563 () (@var "B_32" tptp.int)) % 152.04/152.32 (define @t1564 () (@var "A_67" tptp.nat)) % 152.04/152.32 (define @t1565 () (@var "B_32" tptp.nat)) % 152.04/152.32 (define @t1566 () (@var "A_67" tptp.pname)) % 152.04/152.32 (define @t1567 () (@var "B_32" tptp.pname)) % 152.04/152.32 (define @t1568 () (@var "A_65" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1569 () (@var "A_66" tptp.x_a)) % 152.04/152.32 (define @t1570 () (@var "A_65" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1571 () (@var "A_66" tptp.nat)) % 152.04/152.32 (define @t1572 () (@var "A_65" (-> tptp.int Bool))) % 152.04/152.32 (define @t1573 () (@var "A_66" tptp.int)) % 152.04/152.32 (define @t1574 () (@var "A_63" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1575 () (@var "A_64" tptp.x_a)) % 152.04/152.32 (define @t1576 () (@var "A_63" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1577 () (@var "A_64" tptp.nat)) % 152.04/152.32 (define @t1578 () (@var "A_63" (-> tptp.int Bool))) % 152.04/152.32 (define @t1579 () (@var "A_64" tptp.int)) % 152.04/152.32 (define @t1580 () (@var "A_62" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1581 () (@var "A_62" (-> tptp.int Bool))) % 152.04/152.32 (define @t1582 () (@var "A_62" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1583 () (@var "A_61" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1584 () (@var "F_22" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1585 () (@var "A_61" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1586 () (@var "F_22" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1587 () (@var "F_21" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1588 () (@var "F_21" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1589 () (@var "A_60" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1590 () (@var "F_20" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1591 () (@var "A_60" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1592 () (@var "F_20" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1593 () (@var "A_59" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1594 () (@var "A_59" (-> tptp.int Bool))) % 152.04/152.32 (define @t1595 () (@var "A_59" tptp.nat)) % 152.04/152.32 (define @t1596 () (@var "A_59" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1597 () (@var "A_58" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1598 () (@var "A_58" (-> tptp.int Bool))) % 152.04/152.32 (define @t1599 () (@var "A_58" tptp.nat)) % 152.04/152.32 (define @t1600 () (@var "A_58" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1601 () (@var "A_57" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1602 () (@var "A_57" (-> tptp.int Bool))) % 152.04/152.32 (define @t1603 () (@var "A_57" tptp.nat)) % 152.04/152.32 (define @t1604 () (@var "A_57" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1605 () (@var "P_7" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1606 () (@var "A_56" tptp.x_a)) % 152.04/152.32 (define @t1607 () (_ tptp.collect_a (lambda @t235 (and (= @t232 @t1606) (_ @t1605 @t232))))) % 152.04/152.32 (define @t1608 () (_ @t1605 @t1606)) % 152.04/152.32 (define @t1609 () (@var "P_7" (-> tptp.int Bool))) % 152.04/152.32 (define @t1610 () (@var "A_56" tptp.int)) % 152.04/152.32 (define @t1611 () (_ tptp.collect_int (lambda @t263 (and (= @t260 @t1610) (_ @t1609 @t260))))) % 152.04/152.32 (define @t1612 () (_ @t1609 @t1610)) % 152.04/152.32 (define @t1613 () (@var "P_7" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1614 () (@var "A_56" tptp.nat)) % 152.04/152.32 (define @t1615 () (_ tptp.collect_nat (lambda @t259 (and (= @t256 @t1614) (_ @t1613 @t256))))) % 152.04/152.32 (define @t1616 () (_ @t1613 @t1614)) % 152.04/152.32 (define @t1617 () (@var "P_6" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1618 () (@var "A_55" tptp.x_a)) % 152.04/152.32 (define @t1619 () (_ tptp.collect_a (lambda @t235 (and (= @t1618 @t232) (_ @t1617 @t232))))) % 152.04/152.32 (define @t1620 () (_ @t1617 @t1618)) % 152.04/152.32 (define @t1621 () (@var "P_6" (-> tptp.int Bool))) % 152.04/152.32 (define @t1622 () (@var "A_55" tptp.int)) % 152.04/152.32 (define @t1623 () (_ tptp.collect_int (lambda @t263 (and (= @t1622 @t260) (_ @t1621 @t260))))) % 152.04/152.32 (define @t1624 () (_ @t1621 @t1622)) % 152.04/152.32 (define @t1625 () (@var "P_6" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1626 () (@var "A_55" tptp.nat)) % 152.04/152.32 (define @t1627 () (_ tptp.collect_nat (lambda @t259 (and (= @t1626 @t256) (_ @t1625 @t256))))) % 152.04/152.32 (define @t1628 () (_ @t1625 @t1626)) % 152.04/152.32 (define @t1629 () (@var "A_54" tptp.x_a)) % 152.04/152.32 (define @t1630 () (@var "A_54" tptp.int)) % 152.04/152.32 (define @t1631 () (@var "A_54" tptp.nat)) % 152.04/152.32 (define @t1632 () (@var "A_53" tptp.x_a)) % 152.04/152.32 (define @t1633 () (@var "A_53" tptp.int)) % 152.04/152.32 (define @t1634 () (@var "A_53" tptp.nat)) % 152.04/152.32 (define @t1635 () (@var "A_52" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1636 () (@var "X_18" tptp.x_a)) % 152.04/152.32 (define @t1637 () (@var "A_52" (-> tptp.int Bool))) % 152.04/152.32 (define @t1638 () (@var "X_18" tptp.int)) % 152.04/152.32 (define @t1639 () (@var "A_52" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1640 () (@var "X_18" tptp.nat)) % 152.04/152.32 (define @t1641 () (@var "A_52" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1642 () (@var "X_18" tptp.pname)) % 152.04/152.32 (define @t1643 () (@var "X_17" tptp.x_a)) % 152.04/152.32 (define @t1644 () (_ tptp.insert_a @t1643)) % 152.04/152.32 (define @t1645 () (@var "A_51" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1646 () (@var "X_17" tptp.int)) % 152.04/152.32 (define @t1647 () (_ tptp.insert_int @t1646)) % 152.04/152.32 (define @t1648 () (@var "A_51" (-> tptp.int Bool))) % 152.04/152.32 (define @t1649 () (@var "X_17" tptp.nat)) % 152.04/152.32 (define @t1650 () (_ tptp.insert_nat @t1649)) % 152.04/152.32 (define @t1651 () (@var "A_51" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1652 () (@var "X_17" tptp.pname)) % 152.04/152.32 (define @t1653 () (_ tptp.insert_pname @t1652)) % 152.04/152.32 (define @t1654 () (@var "A_51" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1655 () (@var "A_50" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1656 () (@var "X_16" tptp.x_a)) % 152.04/152.32 (define @t1657 () (@var "A_50" (-> tptp.int Bool))) % 152.04/152.32 (define @t1658 () (@var "X_16" tptp.int)) % 152.04/152.32 (define @t1659 () (@var "A_50" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1660 () (@var "X_16" tptp.nat)) % 152.04/152.32 (define @t1661 () (@var "A_50" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1662 () (@var "X_16" tptp.pname)) % 152.04/152.32 (define @t1663 () (@var "B_31" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1664 () (@var "A_49" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1665 () (_ tptp.minus_minus_a_o @t1664)) % 152.04/152.32 (define @t1666 () (@var "A_48" tptp.x_a)) % 152.04/152.32 (define @t1667 () (@var "B_31" (-> tptp.int Bool))) % 152.04/152.32 (define @t1668 () (@var "A_49" (-> tptp.int Bool))) % 152.04/152.32 (define @t1669 () (_ tptp.minus_minus_int_o @t1668)) % 152.04/152.32 (define @t1670 () (@var "A_48" tptp.int)) % 152.04/152.32 (define @t1671 () (@var "B_31" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1672 () (@var "A_49" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1673 () (_ tptp.minus_minus_nat_o @t1672)) % 152.04/152.32 (define @t1674 () (@var "A_48" tptp.nat)) % 152.04/152.32 (define @t1675 () (@var "B_31" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1676 () (@var "A_49" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1677 () (_ tptp.minus_minus_pname_o @t1676)) % 152.04/152.32 (define @t1678 () (@var "A_48" tptp.pname)) % 152.04/152.32 (define @t1679 () (@var "B_30" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1680 () (@var "A_47" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1681 () (@var "F_19" (-> tptp.nat tptp.int))) % 152.04/152.32 (define @t1682 () (_ tptp.image_nat_int @t1681)) % 152.04/152.32 (define @t1683 () (@var "B_30" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1684 () (@var "A_47" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1685 () (@var "F_19" (-> tptp.pname tptp.x_a))) % 152.04/152.32 (define @t1686 () (_ tptp.image_pname_a @t1685)) % 152.04/152.32 (define @t1687 () (@var "X_15" tptp.x_a)) % 152.04/152.32 (define @t1688 () (_ (_ tptp.insert_a @t1687) tptp.bot_bot_a_o)) % 152.04/152.32 (define @t1689 () (@var "A_46" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1690 () (@var "X_15" tptp.nat)) % 152.04/152.32 (define @t1691 () (_ (_ tptp.insert_nat @t1690) tptp.bot_bot_nat_o)) % 152.04/152.32 (define @t1692 () (@var "A_46" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1693 () (@var "X_15" tptp.int)) % 152.04/152.32 (define @t1694 () (_ (_ tptp.insert_int @t1693) tptp.bot_bot_int_o)) % 152.04/152.32 (define @t1695 () (@var "A_46" (-> tptp.int Bool))) % 152.04/152.32 (define @t1696 () (@var "Nat_3" tptp.nat)) % 152.04/152.32 (define @t1697 () (@var "F2" (-> tptp.nat tptp.nat))) % 152.04/152.32 (define @t1698 () (_ tptp.suc @t1696)) % 152.04/152.32 (define @t1699 () (@var "F1" tptp.nat)) % 152.04/152.32 (define @t1700 () (@var "F2" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1701 () (@var "F1" Bool)) % 152.04/152.32 (define @t1702 () (@var "C_21" tptp.int)) % 152.04/152.32 (define @t1703 () (@var "A_45" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1704 () (@var "X_14" tptp.nat)) % 152.04/152.32 (define @t1705 () (@var "C_21" tptp.x_a)) % 152.04/152.32 (define @t1706 () (@var "A_45" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1707 () (@var "X_14" tptp.pname)) % 152.04/152.32 (define @t1708 () (@var "C_20" tptp.int)) % 152.04/152.32 (define @t1709 () (@var "A_44" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1710 () (_ (_ tptp.image_nat_int (lambda @t259 @t1708)) @t1709)) % 152.04/152.32 (define @t1711 () (= @t1709 tptp.bot_bot_nat_o)) % 152.04/152.32 (define @t1712 () (@var "C_20" tptp.x_a)) % 152.04/152.32 (define @t1713 () (@var "A_44" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1714 () (_ (_ tptp.image_pname_a (lambda @t255 @t1712)) @t1713)) % 152.04/152.32 (define @t1715 () (= @t1713 tptp.bot_bot_pname_o)) % 152.04/152.32 (define @t1716 () (@var "D_3" tptp.int)) % 152.04/152.32 (define @t1717 () (@var "C_19" tptp.int)) % 152.04/152.32 (define @t1718 () (@var "B_29" tptp.int)) % 152.04/152.32 (define @t1719 () (@var "A_43" tptp.int)) % 152.04/152.32 (define @t1720 () (@var "B_28" (-> tptp.int Bool))) % 152.04/152.32 (define @t1721 () (@var "A_42" (-> tptp.int Bool))) % 152.04/152.32 (define @t1722 () (@var "B_28" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1723 () (@var "A_42" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1724 () (@var "B_28" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1725 () (@var "A_42" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1726 () (@var "B_28" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1727 () (@var "A_42" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1728 () (@var "B_27" (-> tptp.int Bool))) % 152.04/152.32 (define @t1729 () (@var "A_41" (-> tptp.int Bool))) % 152.04/152.32 (define @t1730 () (@var "B_27" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1731 () (@var "A_41" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1732 () (@var "B_27" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1733 () (@var "A_41" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1734 () (@var "B_27" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1735 () (@var "A_41" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1736 () (@var "F_18" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1737 () (@var "P_5" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t1738 () (@var "F_2" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1739 () (@var "A_37" tptp.x_a)) % 152.04/152.32 (define @t1740 () (_ tptp.insert_a @t1739)) % 152.04/152.32 (define @t1741 () (_ tptp.member_a @t1739)) % 152.04/152.32 (define @t1742 () (@var "A_40" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1743 () (_ tptp.finite_finite_a @t1738)) % 152.04/152.32 (define @t1744 () (@var "F_18" (-> tptp.int Bool))) % 152.04/152.32 (define @t1745 () (@var "P_5" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t1746 () (@var "F_2" (-> tptp.int Bool))) % 152.04/152.32 (define @t1747 () (_ tptp.insert_int @t648)) % 152.04/152.32 (define @t1748 () (@var "A_40" (-> tptp.int Bool))) % 152.04/152.32 (define @t1749 () (_ tptp.finite_finite_int @t1746)) % 152.04/152.32 (define @t1750 () (@var "F_18" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1751 () (@var "P_5" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t1752 () (@var "F_2" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1753 () (_ tptp.insert_nat @t636)) % 152.04/152.32 (define @t1754 () (@var "A_40" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1755 () (_ tptp.finite_finite_nat @t1752)) % 152.04/152.32 (define @t1756 () (@var "F_18" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1757 () (@var "P_5" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t1758 () (@var "F_2" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1759 () (_ tptp.insert_pname @t661)) % 152.04/152.32 (define @t1760 () (@var "A_40" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1761 () (_ tptp.finite_finite_pname @t1758)) % 152.04/152.32 (define @t1762 () (@var "Pn" tptp.pname)) % 152.04/152.32 (define @t1763 () (_ tptp.insert_a (_ tptp.mgt_call @t1762))) % 152.04/152.32 (define @t1764 () (_ tptp.the_com (_ tptp.body @t1762))) % 152.04/152.32 (define @t1765 () (@var "P_4" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t1766 () (@var "A_38" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1767 () (_ tptp.finite_finite_a @t1766)) % 152.04/152.32 (define @t1768 () (@var "A_39" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1769 () (@var "P_4" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t1770 () (@var "A_38" (-> tptp.int Bool))) % 152.04/152.32 (define @t1771 () (_ tptp.finite_finite_int @t1770)) % 152.04/152.32 (define @t1772 () (@var "A_39" (-> tptp.int Bool))) % 152.04/152.32 (define @t1773 () (@var "P_4" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t1774 () (@var "A_38" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1775 () (_ tptp.finite_finite_nat @t1774)) % 152.04/152.32 (define @t1776 () (@var "A_39" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1777 () (@var "P_4" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t1778 () (@var "A_38" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1779 () (_ tptp.finite_finite_pname @t1778)) % 152.04/152.32 (define @t1780 () (@var "A_39" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1781 () (@var "F_17" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1782 () (@var "P_3" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.32 (define @t1783 () (_ @t1135 @t1738)) % 152.04/152.32 (define @t1784 () (not (_ @t927 @t1738))) % 152.04/152.32 (define @t1785 () (@list @t232 @t1738)) % 152.04/152.32 (define @t1786 () (@var "F_17" (-> tptp.int Bool))) % 152.04/152.32 (define @t1787 () (@var "P_3" (-> (-> tptp.int Bool) Bool))) % 152.04/152.32 (define @t1788 () (_ @t1138 @t1746)) % 152.04/152.32 (define @t1789 () (not (_ @t653 @t1746))) % 152.04/152.32 (define @t1790 () (@list @t260 @t1746)) % 152.04/152.32 (define @t1791 () (@var "F_17" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1792 () (@var "P_3" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.32 (define @t1793 () (_ @t1141 @t1752)) % 152.04/152.32 (define @t1794 () (not (_ @t641 @t1752))) % 152.04/152.32 (define @t1795 () (@list @t256 @t1752)) % 152.04/152.32 (define @t1796 () (@var "F_17" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1797 () (@var "P_3" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.32 (define @t1798 () (_ @t1144 @t1758)) % 152.04/152.32 (define @t1799 () (not (_ @t664 @t1758))) % 152.04/152.32 (define @t1800 () (@list @t252 @t1758)) % 152.04/152.32 (define @t1801 () (@var "A_36" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1802 () (@var "A_36" (-> tptp.int Bool))) % 152.04/152.32 (define @t1803 () (@var "A_36" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1804 () (@var "A_36" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1805 () (@var "U" tptp.nat)) % 152.04/152.32 (define @t1806 () (@var "F" (-> tptp.nat tptp.nat))) % 152.04/152.32 (define @t1807 () (_ @t1806 @t275)) % 152.04/152.32 (define @t1808 () (@var "X_13" tptp.x_a)) % 152.04/152.32 (define @t1809 () (@var "X_13" tptp.nat)) % 152.04/152.32 (define @t1810 () (@var "X_13" tptp.int)) % 152.04/152.32 (define @t1811 () (@var "A_35" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1812 () (@var "A_35" (-> tptp.int Bool))) % 152.04/152.32 (define @t1813 () (@var "A_35" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1814 () (@var "A_35" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1815 () (@var "B_25" (-> tptp.int Bool))) % 152.04/152.32 (define @t1816 () (@var "C_18" tptp.int)) % 152.04/152.32 (define @t1817 () (_ tptp.member_int @t1816)) % 152.04/152.32 (define @t1818 () (@var "A_34" (-> tptp.int Bool))) % 152.04/152.32 (define @t1819 () (@var "B_25" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1820 () (@var "C_18" tptp.nat)) % 152.04/152.32 (define @t1821 () (_ tptp.member_nat @t1820)) % 152.04/152.32 (define @t1822 () (@var "A_34" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1823 () (@var "B_25" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1824 () (@var "C_18" tptp.x_a)) % 152.04/152.32 (define @t1825 () (_ tptp.member_a @t1824)) % 152.04/152.32 (define @t1826 () (@var "A_34" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1827 () (@var "B_25" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1828 () (@var "C_18" tptp.pname)) % 152.04/152.32 (define @t1829 () (_ tptp.member_pname @t1828)) % 152.04/152.32 (define @t1830 () (@var "A_34" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1831 () (@var "B_24" (-> tptp.int Bool))) % 152.04/152.32 (define @t1832 () (@var "A_33" (-> tptp.int Bool))) % 152.04/152.32 (define @t1833 () (@var "C_17" tptp.int)) % 152.04/152.32 (define @t1834 () (_ tptp.member_int @t1833)) % 152.04/152.32 (define @t1835 () (@var "B_24" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1836 () (@var "A_33" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1837 () (@var "C_17" tptp.nat)) % 152.04/152.32 (define @t1838 () (_ tptp.member_nat @t1837)) % 152.04/152.32 (define @t1839 () (@var "B_24" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1840 () (@var "A_33" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1841 () (@var "C_17" tptp.x_a)) % 152.04/152.32 (define @t1842 () (_ tptp.member_a @t1841)) % 152.04/152.32 (define @t1843 () (@var "B_24" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1844 () (@var "A_33" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1845 () (@var "C_17" tptp.pname)) % 152.04/152.32 (define @t1846 () (_ tptp.member_pname @t1845)) % 152.04/152.32 (define @t1847 () (@var "B_23" (-> tptp.int Bool))) % 152.04/152.32 (define @t1848 () (@var "C_16" tptp.int)) % 152.04/152.32 (define @t1849 () (_ tptp.member_int @t1848)) % 152.04/152.32 (define @t1850 () (@var "A_32" (-> tptp.int Bool))) % 152.04/152.32 (define @t1851 () (@var "B_23" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1852 () (@var "C_16" tptp.nat)) % 152.04/152.32 (define @t1853 () (_ tptp.member_nat @t1852)) % 152.04/152.32 (define @t1854 () (@var "A_32" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1855 () (@var "B_23" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1856 () (@var "C_16" tptp.x_a)) % 152.04/152.32 (define @t1857 () (_ tptp.member_a @t1856)) % 152.04/152.32 (define @t1858 () (@var "A_32" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1859 () (@var "B_23" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1860 () (@var "C_16" tptp.pname)) % 152.04/152.32 (define @t1861 () (_ tptp.member_pname @t1860)) % 152.04/152.32 (define @t1862 () (@var "A_32" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1863 () (@var "A_31" (-> tptp.int Bool))) % 152.04/152.32 (define @t1864 () (@var "C_15" tptp.int)) % 152.04/152.32 (define @t1865 () (_ tptp.member_int @t1864)) % 152.04/152.32 (define @t1866 () (@var "B_22" (-> tptp.int Bool))) % 152.04/152.32 (define @t1867 () (@var "A_31" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1868 () (@var "C_15" tptp.nat)) % 152.04/152.32 (define @t1869 () (_ tptp.member_nat @t1868)) % 152.04/152.32 (define @t1870 () (@var "B_22" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1871 () (@var "A_31" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1872 () (@var "C_15" tptp.x_a)) % 152.04/152.32 (define @t1873 () (_ tptp.member_a @t1872)) % 152.04/152.32 (define @t1874 () (@var "B_22" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1875 () (@var "A_31" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1876 () (@var "C_15" tptp.pname)) % 152.04/152.32 (define @t1877 () (_ tptp.member_pname @t1876)) % 152.04/152.32 (define @t1878 () (@var "B_22" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1879 () (@var "B_21" (-> tptp.int Bool))) % 152.04/152.32 (define @t1880 () (@var "C_14" tptp.int)) % 152.04/152.32 (define @t1881 () (_ tptp.member_int @t1880)) % 152.04/152.32 (define @t1882 () (@var "A_30" (-> tptp.int Bool))) % 152.04/152.32 (define @t1883 () (@var "B_21" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1884 () (@var "C_14" tptp.nat)) % 152.04/152.32 (define @t1885 () (_ tptp.member_nat @t1884)) % 152.04/152.32 (define @t1886 () (@var "A_30" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1887 () (@var "B_21" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1888 () (@var "C_14" tptp.x_a)) % 152.04/152.32 (define @t1889 () (_ tptp.member_a @t1888)) % 152.04/152.32 (define @t1890 () (@var "A_30" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1891 () (@var "B_21" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1892 () (@var "C_14" tptp.pname)) % 152.04/152.32 (define @t1893 () (_ tptp.member_pname @t1892)) % 152.04/152.32 (define @t1894 () (@var "A_30" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1895 () (@var "B_20" (-> tptp.int Bool))) % 152.04/152.32 (define @t1896 () (@var "A_29" (-> tptp.int Bool))) % 152.04/152.32 (define @t1897 () (@var "B_20" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1898 () (@var "A_29" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1899 () (@var "B_20" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1900 () (@var "A_29" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1901 () (@var "B_20" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1902 () (@var "A_29" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1903 () (@var "X_12" tptp.x_a)) % 152.04/152.32 (define @t1904 () (_ tptp.insert_a @t1903)) % 152.04/152.32 (define @t1905 () (@var "A_28" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1906 () (_ (_ tptp.minus_minus_a_o @t1905) (_ @t1904 tptp.bot_bot_a_o))) % 152.04/152.32 (define @t1907 () (@var "F_15" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.32 (define @t1908 () (@var "F_16" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.32 (define @t1909 () (_ @t1907 (_ @t1904 @t1905))) % 152.04/152.32 (define @t1910 () (= @t1906 tptp.bot_bot_a_o)) % 152.04/152.32 (define @t1911 () (@var "X_12" tptp.int)) % 152.04/152.32 (define @t1912 () (_ tptp.insert_int @t1911)) % 152.04/152.32 (define @t1913 () (@var "A_28" (-> tptp.int Bool))) % 152.04/152.32 (define @t1914 () (_ (_ tptp.minus_minus_int_o @t1913) (_ @t1912 tptp.bot_bot_int_o))) % 152.04/152.32 (define @t1915 () (@var "F_15" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t1916 () (@var "F_16" (-> tptp.int tptp.int tptp.int))) % 152.04/152.32 (define @t1917 () (_ @t1915 (_ @t1912 @t1913))) % 152.04/152.32 (define @t1918 () (= @t1914 tptp.bot_bot_int_o)) % 152.04/152.32 (define @t1919 () (@var "X_12" tptp.nat)) % 152.04/152.32 (define @t1920 () (_ tptp.insert_nat @t1919)) % 152.04/152.32 (define @t1921 () (@var "A_28" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1922 () (_ (_ tptp.minus_minus_nat_o @t1921) (_ @t1920 tptp.bot_bot_nat_o))) % 152.04/152.32 (define @t1923 () (@var "F_15" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t1924 () (@var "F_16" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.32 (define @t1925 () (_ @t1923 (_ @t1920 @t1921))) % 152.04/152.32 (define @t1926 () (= @t1922 tptp.bot_bot_nat_o)) % 152.04/152.32 (define @t1927 () (@var "X_12" tptp.pname)) % 152.04/152.32 (define @t1928 () (_ tptp.insert_pname @t1927)) % 152.04/152.32 (define @t1929 () (@var "A_28" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1930 () (_ (_ tptp.minus_minus_pname_o @t1929) (_ @t1928 tptp.bot_bot_pname_o))) % 152.04/152.32 (define @t1931 () (@var "F_15" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.32 (define @t1932 () (@var "F_16" (-> tptp.pname tptp.pname tptp.pname))) % 152.04/152.32 (define @t1933 () (_ @t1931 (_ @t1928 @t1929))) % 152.04/152.32 (define @t1934 () (= @t1930 tptp.bot_bot_pname_o)) % 152.04/152.32 (define @t1935 () (@var "X_11" tptp.x_a)) % 152.04/152.32 (define @t1936 () (@var "A_27" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1937 () (_ (_ tptp.minus_minus_a_o @t1936) (_ (_ tptp.insert_a @t1935) tptp.bot_bot_a_o))) % 152.04/152.32 (define @t1938 () (@var "F_13" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.32 (define @t1939 () (@var "F_14" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.32 (define @t1940 () (_ @t1938 @t1936)) % 152.04/152.32 (define @t1941 () (= @t1937 tptp.bot_bot_a_o)) % 152.04/152.32 (define @t1942 () (@var "X_11" tptp.int)) % 152.04/152.32 (define @t1943 () (@var "A_27" (-> tptp.int Bool))) % 152.04/152.32 (define @t1944 () (_ (_ tptp.minus_minus_int_o @t1943) (_ (_ tptp.insert_int @t1942) tptp.bot_bot_int_o))) % 152.04/152.32 (define @t1945 () (@var "F_13" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t1946 () (@var "F_14" (-> tptp.int tptp.int tptp.int))) % 152.04/152.32 (define @t1947 () (_ @t1945 @t1943)) % 152.04/152.32 (define @t1948 () (= @t1944 tptp.bot_bot_int_o)) % 152.04/152.32 (define @t1949 () (@var "X_11" tptp.nat)) % 152.04/152.32 (define @t1950 () (@var "A_27" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1951 () (_ (_ tptp.minus_minus_nat_o @t1950) (_ (_ tptp.insert_nat @t1949) tptp.bot_bot_nat_o))) % 152.04/152.32 (define @t1952 () (@var "F_13" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t1953 () (@var "F_14" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.32 (define @t1954 () (_ @t1952 @t1950)) % 152.04/152.32 (define @t1955 () (= @t1951 tptp.bot_bot_nat_o)) % 152.04/152.32 (define @t1956 () (@var "X_11" tptp.pname)) % 152.04/152.32 (define @t1957 () (@var "A_27" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1958 () (_ (_ tptp.minus_minus_pname_o @t1957) (_ (_ tptp.insert_pname @t1956) tptp.bot_bot_pname_o))) % 152.04/152.32 (define @t1959 () (@var "F_13" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.32 (define @t1960 () (@var "F_14" (-> tptp.pname tptp.pname tptp.pname))) % 152.04/152.32 (define @t1961 () (_ @t1959 @t1957)) % 152.04/152.32 (define @t1962 () (= @t1958 tptp.bot_bot_pname_o)) % 152.04/152.32 (define @t1963 () (@var "A_26" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1964 () (_ tptp.finite_card_a @t1963)) % 152.04/152.32 (define @t1965 () (@var "X_10" tptp.x_a)) % 152.04/152.32 (define @t1966 () (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1963) (_ (_ tptp.insert_a @t1965) tptp.bot_bot_a_o)))) % 152.04/152.32 (define @t1967 () (_ (_ tptp.member_a @t1965) @t1963)) % 152.04/152.32 (define @t1968 () (@var "A_26" (-> tptp.int Bool))) % 152.04/152.32 (define @t1969 () (_ tptp.finite_card_int @t1968)) % 152.04/152.32 (define @t1970 () (@var "X_10" tptp.int)) % 152.04/152.32 (define @t1971 () (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1968) (_ (_ tptp.insert_int @t1970) tptp.bot_bot_int_o)))) % 152.04/152.32 (define @t1972 () (_ (_ tptp.member_int @t1970) @t1968)) % 152.04/152.32 (define @t1973 () (@var "A_26" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1974 () (_ tptp.finite_card_nat @t1973)) % 152.04/152.32 (define @t1975 () (@var "X_10" tptp.nat)) % 152.04/152.32 (define @t1976 () (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1973) (_ (_ tptp.insert_nat @t1975) tptp.bot_bot_nat_o)))) % 152.04/152.32 (define @t1977 () (_ (_ tptp.member_nat @t1975) @t1973)) % 152.04/152.32 (define @t1978 () (@var "A_26" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1979 () (_ tptp.finite_card_pname @t1978)) % 152.04/152.32 (define @t1980 () (@var "X_10" tptp.pname)) % 152.04/152.32 (define @t1981 () (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1978) (_ (_ tptp.insert_pname @t1980) tptp.bot_bot_pname_o)))) % 152.04/152.32 (define @t1982 () (_ (_ tptp.member_pname @t1980) @t1978)) % 152.04/152.32 (define @t1983 () (@var "A_25" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t1984 () (@var "X_9" tptp.x_a)) % 152.04/152.32 (define @t1985 () (@var "A_25" (-> tptp.int Bool))) % 152.04/152.32 (define @t1986 () (@var "X_9" tptp.int)) % 152.04/152.32 (define @t1987 () (@var "A_25" (-> tptp.nat Bool))) % 152.04/152.32 (define @t1988 () (@var "X_9" tptp.nat)) % 152.04/152.32 (define @t1989 () (@var "A_25" (-> tptp.pname Bool))) % 152.04/152.32 (define @t1990 () (@var "X_9" tptp.pname)) % 152.04/152.32 (define @t1991 () (@var "X_8" tptp.int)) % 152.04/152.32 (define @t1992 () (@var "X_8" tptp.nat)) % 152.04/152.32 (define @t1993 () (_ @t266 tptp.one_one_nat)) % 152.04/152.32 (define @t1994 () (_ @t266 @t279)) % 152.04/152.32 (define @t1995 () (@var "X_7" tptp.x_a)) % 152.04/152.32 (define @t1996 () (@var "F_11" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.32 (define @t1997 () (@var "F_12" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.32 (define @t1998 () (@var "X_7" tptp.nat)) % 152.04/152.32 (define @t1999 () (@var "F_11" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.32 (define @t2000 () (@var "F_12" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.32 (define @t2001 () (@var "X_7" tptp.int)) % 152.04/152.32 (define @t2002 () (@var "F_11" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.32 (define @t2003 () (@var "F_12" (-> tptp.int tptp.int tptp.int))) % 152.04/152.32 (define @t2004 () (@var "B_19" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t2005 () (@var "A_23" (-> tptp.x_a Bool))) % 152.04/152.32 (define @t2006 () (_ tptp.minus_minus_a_o @t2005)) % 152.04/152.32 (define @t2007 () (@var "A_24" tptp.x_a)) % 152.04/152.32 (define @t2008 () (_ tptp.member_a @t2007)) % 152.04/152.32 (define @t2009 () (@var "B_19" (-> tptp.int Bool))) % 152.04/152.32 (define @t2010 () (@var "A_23" (-> tptp.int Bool))) % 152.04/152.32 (define @t2011 () (_ tptp.minus_minus_int_o @t2010)) % 152.04/152.32 (define @t2012 () (@var "A_24" tptp.int)) % 152.04/152.32 (define @t2013 () (_ tptp.member_int @t2012)) % 152.04/152.32 (define @t2014 () (@var "B_19" (-> tptp.nat Bool))) % 152.04/152.32 (define @t2015 () (@var "A_23" (-> tptp.nat Bool))) % 152.04/152.32 (define @t2016 () (_ tptp.minus_minus_nat_o @t2015)) % 152.04/152.32 (define @t2017 () (@var "A_24" tptp.nat)) % 152.04/152.32 (define @t2018 () (_ tptp.member_nat @t2017)) % 152.04/152.32 (define @t2019 () (@var "B_19" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2020 () (@var "A_23" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2021 () (_ tptp.minus_minus_pname_o @t2020)) % 152.04/152.33 (define @t2022 () (@var "A_24" tptp.pname)) % 152.04/152.33 (define @t2023 () (_ tptp.member_pname @t2022)) % 152.04/152.33 (define @t2024 () (@var "A_22" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2025 () (@var "F_9" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.33 (define @t2026 () (@var "X_6" tptp.x_a)) % 152.04/152.33 (define @t2027 () (@var "F_10" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.33 (define @t2028 () (@var "A_22" (-> tptp.int Bool))) % 152.04/152.33 (define @t2029 () (@var "F_9" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.33 (define @t2030 () (@var "X_6" tptp.int)) % 152.04/152.33 (define @t2031 () (@var "F_10" (-> tptp.int tptp.int tptp.int))) % 152.04/152.33 (define @t2032 () (@var "A_22" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2033 () (@var "F_9" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.33 (define @t2034 () (@var "X_6" tptp.nat)) % 152.04/152.33 (define @t2035 () (@var "F_10" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.33 (define @t2036 () (@var "A_22" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2037 () (@var "F_9" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.33 (define @t2038 () (@var "X_6" tptp.pname)) % 152.04/152.33 (define @t2039 () (@var "F_10" (-> tptp.pname tptp.pname tptp.pname))) % 152.04/152.33 (define @t2040 () (@var "A_21" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2041 () (@var "F_7" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.33 (define @t2042 () (@var "F_8" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.33 (define @t2043 () (@var "A_21" (-> tptp.int Bool))) % 152.04/152.33 (define @t2044 () (@var "F_7" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.33 (define @t2045 () (@var "F_8" (-> tptp.int tptp.int tptp.int))) % 152.04/152.33 (define @t2046 () (@var "A_21" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2047 () (@var "F_7" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.33 (define @t2048 () (@var "F_8" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.33 (define @t2049 () (@var "A_21" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2050 () (@var "F_7" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.33 (define @t2051 () (@var "F_8" (-> tptp.pname tptp.pname tptp.pname))) % 152.04/152.33 (define @t2052 () (@var "X_5" tptp.x_a)) % 152.04/152.33 (define @t2053 () (@var "A_20" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2054 () (_ tptp.plus_plus_nat tptp.one_one_nat)) % 152.04/152.33 (define @t2055 () (@var "X_5" tptp.int)) % 152.04/152.33 (define @t2056 () (@var "A_20" (-> tptp.int Bool))) % 152.04/152.33 (define @t2057 () (@var "X_5" tptp.nat)) % 152.04/152.33 (define @t2058 () (@var "A_20" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2059 () (@var "X_5" tptp.pname)) % 152.04/152.33 (define @t2060 () (@var "A_20" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2061 () (@var "X_4" tptp.x_a)) % 152.04/152.33 (define @t2062 () (_ tptp.insert_a @t2061)) % 152.04/152.33 (define @t2063 () (@var "A_19" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2064 () (@var "X_4" tptp.int)) % 152.04/152.33 (define @t2065 () (_ tptp.insert_int @t2064)) % 152.04/152.33 (define @t2066 () (@var "A_19" (-> tptp.int Bool))) % 152.04/152.33 (define @t2067 () (@var "X_4" tptp.nat)) % 152.04/152.33 (define @t2068 () (_ tptp.insert_nat @t2067)) % 152.04/152.33 (define @t2069 () (@var "A_19" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2070 () (@var "X_4" tptp.pname)) % 152.04/152.33 (define @t2071 () (_ tptp.insert_pname @t2070)) % 152.04/152.33 (define @t2072 () (@var "A_19" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2073 () (@var "A_18" (-> tptp.int Bool))) % 152.04/152.33 (define @t2074 () (@var "F_5" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.33 (define @t2075 () (_ @t2074 @t2073)) % 152.04/152.33 (define @t2076 () (@var "B_18" (-> tptp.int Bool))) % 152.04/152.33 (define @t2077 () (@var "F_6" (-> tptp.int tptp.int tptp.int))) % 152.04/152.33 (define @t2078 () (@var "A_18" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2079 () (@var "F_5" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.33 (define @t2080 () (_ @t2079 @t2078)) % 152.04/152.33 (define @t2081 () (@var "B_18" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2082 () (@var "F_6" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.33 (define @t2083 () (@var "A_18" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2084 () (@var "F_5" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.33 (define @t2085 () (_ @t2084 @t2083)) % 152.04/152.33 (define @t2086 () (@var "B_18" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2087 () (@var "F_6" (-> tptp.pname tptp.pname tptp.pname))) % 152.04/152.33 (define @t2088 () (@var "A_18" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2089 () (@var "F_5" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.33 (define @t2090 () (_ @t2089 @t2088)) % 152.04/152.33 (define @t2091 () (@var "B_18" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2092 () (@var "F_6" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.33 (define @t2093 () (@var "A_17" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2094 () (@var "F_3" (-> (-> tptp.x_a Bool) tptp.x_a))) % 152.04/152.33 (define @t2095 () (@var "X_3" tptp.x_a)) % 152.04/152.33 (define @t2096 () (@var "F_4" (-> tptp.x_a tptp.x_a tptp.x_a))) % 152.04/152.33 (define @t2097 () (@var "A_17" (-> tptp.int Bool))) % 152.04/152.33 (define @t2098 () (@var "F_3" (-> (-> tptp.int Bool) tptp.int))) % 152.04/152.33 (define @t2099 () (@var "X_3" tptp.int)) % 152.04/152.33 (define @t2100 () (@var "F_4" (-> tptp.int tptp.int tptp.int))) % 152.04/152.33 (define @t2101 () (@var "A_17" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2102 () (@var "F_3" (-> (-> tptp.nat Bool) tptp.nat))) % 152.04/152.33 (define @t2103 () (@var "X_3" tptp.nat)) % 152.04/152.33 (define @t2104 () (@var "F_4" (-> tptp.nat tptp.nat tptp.nat))) % 152.04/152.33 (define @t2105 () (@var "A_17" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2106 () (@var "F_3" (-> (-> tptp.pname Bool) tptp.pname))) % 152.04/152.33 (define @t2107 () (@var "X_3" tptp.pname)) % 152.04/152.33 (define @t2108 () (@var "F_4" (-> tptp.pname tptp.pname tptp.pname))) % 152.04/152.33 (define @t2109 () (@var "F_1" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2110 () (@var "P_2" (-> (-> tptp.x_a Bool) Bool))) % 152.04/152.33 (define @t2111 () (_ @t1135 tptp.bot_bot_a_o)) % 152.04/152.33 (define @t2112 () (@var "F_1" (-> tptp.int Bool))) % 152.04/152.33 (define @t2113 () (@var "P_2" (-> (-> tptp.int Bool) Bool))) % 152.04/152.33 (define @t2114 () (_ @t1138 tptp.bot_bot_int_o)) % 152.04/152.33 (define @t2115 () (@var "F_1" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2116 () (@var "P_2" (-> (-> tptp.nat Bool) Bool))) % 152.04/152.33 (define @t2117 () (_ @t1141 tptp.bot_bot_nat_o)) % 152.04/152.33 (define @t2118 () (@var "F_1" (-> tptp.pname Bool))) % 152.04/152.33 (define @t2119 () (@var "P_2" (-> (-> tptp.pname Bool) Bool))) % 152.04/152.33 (define @t2120 () (@var "X_2" (-> tptp.x_a Bool))) % 152.04/152.33 (define @t2121 () (@var "X_2" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2122 () (@var "X_2" (-> tptp.int Bool))) % 152.04/152.33 (define @t2123 () (@var "C_13" tptp.int)) % 152.04/152.33 (define @t2124 () (@var "B_17" tptp.int)) % 152.04/152.33 (define @t2125 () (@var "A_16" tptp.int)) % 152.04/152.33 (define @t2126 () (_ tptp.plus_plus_int @t2125)) % 152.04/152.33 (define @t2127 () (@var "C_13" tptp.nat)) % 152.04/152.33 (define @t2128 () (@var "B_17" tptp.nat)) % 152.04/152.33 (define @t2129 () (@var "A_16" tptp.nat)) % 152.04/152.33 (define @t2130 () (_ tptp.plus_plus_nat @t2129)) % 152.04/152.33 (define @t2131 () (@var "C_12" tptp.int)) % 152.04/152.33 (define @t2132 () (@var "B_16" tptp.int)) % 152.04/152.33 (define @t2133 () (@var "A_15" tptp.int)) % 152.04/152.33 (define @t2134 () (_ tptp.plus_plus_int @t2133)) % 152.04/152.33 (define @t2135 () (@var "C_12" tptp.nat)) % 152.04/152.33 (define @t2136 () (@var "B_16" tptp.nat)) % 152.04/152.33 (define @t2137 () (@var "A_15" tptp.nat)) % 152.04/152.33 (define @t2138 () (_ tptp.plus_plus_nat @t2137)) % 152.04/152.33 (define @t2139 () (@var "C_11" tptp.int)) % 152.04/152.33 (define @t2140 () (@var "B_15" tptp.int)) % 152.04/152.33 (define @t2141 () (@var "A_14" tptp.int)) % 152.04/152.33 (define @t2142 () (@var "C_11" tptp.nat)) % 152.04/152.33 (define @t2143 () (@var "B_15" tptp.nat)) % 152.04/152.33 (define @t2144 () (@var "A_14" tptp.nat)) % 152.04/152.33 (define @t2145 () (@var "C_10" tptp.int)) % 152.04/152.33 (define @t2146 () (@var "B_14" tptp.int)) % 152.04/152.33 (define @t2147 () (@var "A_13" tptp.int)) % 152.04/152.33 (define @t2148 () (_ tptp.plus_plus_int @t2147)) % 152.04/152.33 (define @t2149 () (@var "C_10" tptp.nat)) % 152.04/152.33 (define @t2150 () (@var "B_14" tptp.nat)) % 152.04/152.33 (define @t2151 () (@var "A_13" tptp.nat)) % 152.04/152.33 (define @t2152 () (_ tptp.plus_plus_nat @t2151)) % 152.04/152.33 (define @t2153 () (@var "C_9" tptp.int)) % 152.04/152.33 (define @t2154 () (@var "B_13" tptp.int)) % 152.04/152.33 (define @t2155 () (@var "A_12" tptp.int)) % 152.04/152.33 (define @t2156 () (_ tptp.plus_plus_int @t2155)) % 152.04/152.33 (define @t2157 () (@var "C_9" tptp.nat)) % 152.04/152.33 (define @t2158 () (@var "B_13" tptp.nat)) % 152.04/152.33 (define @t2159 () (@var "A_12" tptp.nat)) % 152.04/152.33 (define @t2160 () (_ tptp.plus_plus_nat @t2159)) % 152.04/152.33 (define @t2161 () (@var "C_8" tptp.int)) % 152.04/152.33 (define @t2162 () (@var "B_12" tptp.int)) % 152.04/152.33 (define @t2163 () (@var "A_11" tptp.int)) % 152.04/152.33 (define @t2164 () (@var "C_8" tptp.nat)) % 152.04/152.33 (define @t2165 () (@var "B_12" tptp.nat)) % 152.04/152.33 (define @t2166 () (@var "A_11" tptp.nat)) % 152.04/152.33 (define @t2167 () (_ tptp.plus_plus_nat @t264)) % 152.04/152.33 (define @t2168 () (_ @t2167 @t265)) % 152.04/152.33 (define @t2169 () (_ tptp.plus_plus_nat @t265)) % 152.04/152.33 (define @t2170 () (_ @t2169 @t264)) % 152.04/152.33 (define @t2171 () (@var "Z" tptp.nat)) % 152.04/152.33 (define @t2172 () (_ tptp.plus_plus_nat @t286)) % 152.04/152.33 (define @t2173 () (_ tptp.plus_plus_nat @t285)) % 152.04/152.33 (define @t2174 () (_ @t2173 @t2171)) % 152.04/152.33 (define @t2175 () (_ @t2167 @t274)) % 152.04/152.33 (define @t2176 () (_ tptp.plus_plus_nat @t274)) % 152.04/152.33 (define @t2177 () (_ @t2176 @t264)) % 152.04/152.33 (define @t2178 () (_ @t2176 @t265)) % 152.04/152.33 (define @t2179 () (@list @t274 @t265 @t264)) % 152.04/152.33 (define @t2180 () (_ @t2169 @t274)) % 152.04/152.33 (define @t2181 () (@list @t265 @t274 @t264)) % 152.04/152.33 (define @t2182 () (@var "B_11" tptp.int)) % 152.04/152.33 (define @t2183 () (@var "A_10" tptp.int)) % 152.04/152.33 (define @t2184 () (@var "C_7" tptp.int)) % 152.04/152.33 (define @t2185 () (@var "B_11" tptp.nat)) % 152.04/152.33 (define @t2186 () (@var "A_10" tptp.nat)) % 152.04/152.33 (define @t2187 () (@var "C_7" tptp.nat)) % 152.04/152.33 (define @t2188 () (@var "B_10" tptp.int)) % 152.04/152.33 (define @t2189 () (@var "A_9" tptp.int)) % 152.04/152.33 (define @t2190 () (@var "C_6" tptp.int)) % 152.04/152.33 (define @t2191 () (_ tptp.plus_plus_int @t2190)) % 152.04/152.33 (define @t2192 () (@var "B_10" tptp.nat)) % 152.04/152.33 (define @t2193 () (@var "A_9" tptp.nat)) % 152.04/152.33 (define @t2194 () (@var "C_6" tptp.nat)) % 152.04/152.33 (define @t2195 () (_ tptp.plus_plus_nat @t2194)) % 152.04/152.33 (define @t2196 () (@var "C_5" tptp.int)) % 152.04/152.33 (define @t2197 () (@var "B_9" tptp.int)) % 152.04/152.33 (define @t2198 () (@var "A_8" tptp.int)) % 152.04/152.33 (define @t2199 () (@var "C_5" tptp.nat)) % 152.04/152.33 (define @t2200 () (@var "B_9" tptp.nat)) % 152.04/152.33 (define @t2201 () (@var "A_8" tptp.nat)) % 152.04/152.33 (define @t2202 () (@var "B_8" tptp.int)) % 152.04/152.33 (define @t2203 () (@var "C_4" tptp.int)) % 152.04/152.33 (define @t2204 () (_ tptp.plus_plus_int @t2203)) % 152.04/152.33 (define @t2205 () (@var "A_7" tptp.int)) % 152.04/152.33 (define @t2206 () (@var "B_8" tptp.nat)) % 152.04/152.33 (define @t2207 () (@var "C_4" tptp.nat)) % 152.04/152.33 (define @t2208 () (_ tptp.plus_plus_nat @t2207)) % 152.04/152.33 (define @t2209 () (@var "A_7" tptp.nat)) % 152.04/152.33 (define @t2210 () (@var "D_2" tptp.int)) % 152.04/152.33 (define @t2211 () (@var "B_7" tptp.int)) % 152.04/152.33 (define @t2212 () (@var "C_3" tptp.int)) % 152.04/152.33 (define @t2213 () (@var "A_6" tptp.int)) % 152.04/152.33 (define @t2214 () (@var "D_2" tptp.nat)) % 152.04/152.33 (define @t2215 () (@var "B_7" tptp.nat)) % 152.04/152.33 (define @t2216 () (@var "C_3" tptp.nat)) % 152.04/152.33 (define @t2217 () (@var "A_6" tptp.nat)) % 152.04/152.33 (define @t2218 () (@var "B_6" tptp.int)) % 152.04/152.33 (define @t2219 () (@var "A_5" tptp.int)) % 152.04/152.33 (define @t2220 () (@var "C_2" tptp.int)) % 152.04/152.33 (define @t2221 () (@var "B_6" tptp.nat)) % 152.04/152.33 (define @t2222 () (@var "A_5" tptp.nat)) % 152.04/152.33 (define @t2223 () (@var "C_2" tptp.nat)) % 152.04/152.33 (define @t2224 () (@var "B_5" tptp.int)) % 152.04/152.33 (define @t2225 () (@var "A_4" tptp.int)) % 152.04/152.33 (define @t2226 () (@var "C_1" tptp.int)) % 152.04/152.33 (define @t2227 () (_ tptp.plus_plus_int @t2226)) % 152.04/152.33 (define @t2228 () (@var "B_5" tptp.nat)) % 152.04/152.33 (define @t2229 () (@var "A_4" tptp.nat)) % 152.04/152.33 (define @t2230 () (@var "C_1" tptp.nat)) % 152.04/152.33 (define @t2231 () (_ tptp.plus_plus_nat @t2230)) % 152.04/152.33 (define @t2232 () (@var "A_3" tptp.int)) % 152.04/152.33 (define @t2233 () (@var "B_4" tptp.int)) % 152.04/152.33 (define @t2234 () (@var "A_2" tptp.int)) % 152.04/152.33 (define @t2235 () (@var "B_3" tptp.int)) % 152.04/152.33 (define @t2236 () (_ tptp.suc @t2170)) % 152.04/152.33 (define @t2237 () (_ @t2169 @t279)) % 152.04/152.33 (define @t2238 () (_ (_ tptp.plus_plus_nat @t268) @t264)) % 152.04/152.33 (define @t2239 () (@var "K_1" tptp.nat)) % 152.04/152.33 (define @t2240 () (_ @t2169 @t2239)) % 152.04/152.33 (define @t2241 () (@list @t2239)) % 152.04/152.33 (define @t2242 () (_ tptp.plus_plus_nat @t298)) % 152.04/152.33 (define @t2243 () (_ @t2242 @t265)) % 152.04/152.33 (define @t2244 () (@list @t265 @t296 @t298)) % 152.04/152.33 (define @t2245 () (_ @t2169 @t298)) % 152.04/152.33 (define @t2246 () (_ @t2242 @t274)) % 152.04/152.33 (define @t2247 () (_ tptp.plus_plus_nat @t296)) % 152.04/152.33 (define @t2248 () (_ @t2247 @t274)) % 152.04/152.33 (define @t2249 () (_ tptp.ord_less_eq_nat @t2248)) % 152.04/152.33 (define @t2250 () (_ @t2242 @t386)) % 152.04/152.33 (define @t2251 () (_ @t381 @t386)) % 152.04/152.33 (define @t2252 () (@list @t274 @t386 @t296 @t298)) % 152.04/152.33 (define @t2253 () (_ (_ tptp.ord_less_eq_nat @t2180) @t264)) % 152.04/152.33 (define @t2254 () (_ tptp.minus_minus_nat @t2168)) % 152.04/152.33 (define @t2255 () (_ tptp.minus_minus_nat @t2180)) % 152.04/152.33 (define @t2256 () (_ tptp.minus_minus_nat @t298)) % 152.04/152.33 (define @t2257 () (_ @t2256 @t274)) % 152.04/152.33 (define @t2258 () (_ @t381 @t298)) % 152.04/152.33 (define @t2259 () (@list @t296 @t274 @t298)) % 152.04/152.33 (define @t2260 () (= (_ @t2167 @t267) @t265)) % 152.04/152.33 (define @t2261 () (_ @t2247 @t298)) % 152.04/152.33 (define @t2262 () (_ (_ tptp.minus_minus_nat @t2261) @t274)) % 152.04/152.33 (define @t2263 () (_ @t2247 @t2257)) % 152.04/152.33 (define @t2264 () (_ @t2256 @t296)) % 152.04/152.33 (define @t2265 () (_ @t2242 @t296)) % 152.04/152.33 (define @t2266 () (_ (_ tptp.minus_minus_nat @t2265) @t274)) % 152.04/152.33 (define @t2267 () (_ (_ tptp.plus_plus_nat @t2257) @t296)) % 152.04/152.33 (define @t2268 () (_ @t2054 @t264)) % 152.04/152.33 (define @t2269 () (_ tptp.suc @t298)) % 152.04/152.33 (define @t2270 () (_ tptp.suc @t2257)) % 152.04/152.33 (define @t2271 () (@list @t265 @t274 @t298)) % 152.04/152.33 (define @t2272 () (_ tptp.ord_less_eq_nat @t286)) % 152.04/152.33 (define @t2273 () (_ @t2272 @t2174)) % 152.04/152.33 (define @t2274 () (@list @t285 @t286 @t2171)) % 152.04/152.33 (define @t2275 () (_ @t2272 @t285)) % 152.04/152.33 (define @t2276 () (@list @t2171 @t286 @t285)) % 152.04/152.33 (define @t2277 () (_ tptp.ord_less_nat @t264)) % 152.04/152.33 (define @t2278 () (_ tptp.ord_less_nat @t268)) % 152.04/152.33 (define @t2279 () (_ @t2278 @t279)) % 152.04/152.33 (define @t2280 () (_ tptp.ord_less_nat @t265)) % 152.04/152.33 (define @t2281 () (_ @t2280 @t264)) % 152.04/152.33 (define @t2282 () (_ @t2277 @t265)) % 152.04/152.33 (define @t2283 () (not @t292)) % 152.04/152.33 (define @t2284 () (_ tptp.ord_less_nat @t286)) % 152.04/152.33 (define @t2285 () (_ @t2284 @t285)) % 152.04/152.33 (define @t2286 () (not @t287)) % 152.04/152.33 (define @t2287 () (@var "T" tptp.nat)) % 152.04/152.33 (define @t2288 () (@var "S" tptp.nat)) % 152.04/152.33 (define @t2289 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 152.04/152.33 (define @t2290 () (_ (_ @t2289 @t264) @t265)) % 152.04/152.33 (define @t2291 () (_ @t2277 @t268)) % 152.04/152.33 (define @t2292 () (not @t2281)) % 152.04/152.33 (define @t2293 () (or @t2281 @t292)) % 152.04/152.33 (define @t2294 () (_ @t2280 @t279)) % 152.04/152.33 (define @t2295 () (= @t2291 (= @t264 @t265))) % 152.04/152.33 (define @t2296 () (not @t2282)) % 152.04/152.33 (define @t2297 () (_ @t2278 @t264)) % 152.04/152.33 (define @t2298 () (_ tptp.suc @t296)) % 152.04/152.33 (define @t2299 () (_ (_ tptp.ord_less_nat @t2298) @t274)) % 152.04/152.33 (define @t2300 () (_ (_ tptp.ord_less_nat @t298) @t274)) % 152.04/152.33 (define @t2301 () (_ tptp.ord_less_nat @t296)) % 152.04/152.33 (define @t2302 () (_ @t2301 @t298)) % 152.04/152.33 (define @t2303 () (_ tptp.ord_less_nat @t2261)) % 152.04/152.33 (define @t2304 () (@list @t296 @t298)) % 152.04/152.33 (define @t2305 () (_ tptp.ord_less_nat @t2248)) % 152.04/152.33 (define @t2306 () (_ (_ tptp.ord_less_nat @t274) @t386)) % 152.04/152.33 (define @t2307 () (_ @t2301 @t274)) % 152.04/152.33 (define @t2308 () (_ @t2284 @t2174)) % 152.04/152.33 (define @t2309 () (_ tptp.ord_less_nat @t256)) % 152.04/152.33 (define @t2310 () (_ tptp.ord_less_nat @t280)) % 152.04/152.33 (define @t2311 () (_ @t2310 @t264)) % 152.04/152.33 (define @t2312 () (_ tptp.ord_less_nat @t2239)) % 152.04/152.33 (define @t2313 () (_ @t2312 @t296)) % 152.04/152.33 (define @t2314 () (_ @t736 @t2239)) % 152.04/152.33 (define @t2315 () (@list @t296 @t265)) % 152.04/152.33 (define @t2316 () (exists @t2241 (= @t264 (_ tptp.suc @t2240)))) % 152.04/152.33 (define @t2317 () (_ tptp.ord_less_nat @t267)) % 152.04/152.33 (define @t2318 () (@var "C" tptp.nat)) % 152.04/152.33 (define @t2319 () (@var "B_2" tptp.nat)) % 152.04/152.33 (define @t2320 () (@var "A_1" tptp.nat)) % 152.04/152.33 (define @t2321 () (_ tptp.minus_minus_nat @t2320)) % 152.04/152.33 (define @t2322 () (_ (_ tptp.ord_less_nat @t2320) @t2319)) % 152.04/152.33 (define @t2323 () (@list @t741 @t275)) % 152.04/152.33 (define @t2324 () (_ @t736 @t280)) % 152.04/152.33 (define @t2325 () (@var "J_1" tptp.nat)) % 152.04/152.33 (define @t2326 () (_ tptp.suc @t2325)) % 152.04/152.33 (define @t2327 () (@list @t2325)) % 152.04/152.33 (define @t2328 () (not (forall @t2327 (=> (_ @t2301 @t2325) (not (= @t274 @t2326)))))) % 152.04/152.33 (define @t2329 () (@list @t296 @t274)) % 152.04/152.33 (define @t2330 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 152.04/152.33 (define @t2331 () (= @t264 tptp.zero_zero_nat)) % 152.04/152.33 (define @t2332 () (_ @t378 @t265)) % 152.04/152.33 (define @t2333 () (= @t267 tptp.zero_zero_nat)) % 152.04/152.33 (define @t2334 () (@list @t265)) % 152.04/152.33 (define @t2335 () (= @t265 tptp.zero_zero_nat)) % 152.04/152.33 (define @t2336 () (_ @t2330 @t264)) % 152.04/152.33 (define @t2337 () (not @t2331)) % 152.04/152.33 (define @t2338 () (@var "Nat_2" tptp.nat)) % 152.04/152.33 (define @t2339 () (exists @t744 (= @t264 @t742))) % 152.04/152.33 (define @t2340 () (_ tptp.suc tptp.zero_zero_nat)) % 152.04/152.33 (define @t2341 () (= @t264 @t2340)) % 152.04/152.33 (define @t2342 () (= @t265 @t2340)) % 152.04/152.33 (define @t2343 () (or (and @t2342 @t2331) (and @t2335 @t2341))) % 152.04/152.33 (define @t2344 () (_ @t2330 @t265)) % 152.04/152.33 (define @t2345 () (@var "D_1" tptp.nat)) % 152.04/152.33 (define @t2346 () (_ @t736 @t2345)) % 152.04/152.33 (define @t2347 () (= @t2320 (_ (_ tptp.plus_plus_nat @t2319) @t2345))) % 152.04/152.33 (define @t2348 () (@list @t2345)) % 152.04/152.33 (define @t2349 () (_ @t736 tptp.zero_zero_nat)) % 152.04/152.33 (define @t2350 () (_ @t736 (_ @t2321 @t2319))) % 152.04/152.33 (define @t2351 () (@list @t736 @t2320 @t2319)) % 152.04/152.33 (define @t2352 () (not @t2349)) % 152.04/152.33 (define @t2353 () (@var "M_2" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2354 () (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda @t2241 (and (_ (_ tptp.member_nat @t2239) @t2353) (_ @t2312 @t2298)))))) % 152.04/152.33 (define @t2355 () (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda @t2241 (and (_ (_ tptp.member_nat (_ tptp.suc @t2239)) @t2353) @t2313))))) % 152.04/152.33 (define @t2356 () (_ (_ tptp.member_nat tptp.zero_zero_nat) @t2353)) % 152.04/152.33 (define @t2357 () (@list @t296 @t2353)) % 152.04/152.33 (define @t2358 () (_ tptp.suc (_ @t378 tptp.one_one_nat))) % 152.04/152.33 (define @t2359 () (not @t2335)) % 152.04/152.33 (define @t2360 () (not @t2324)) % 152.04/152.33 (define @t2361 () (_ @t736 @t264)) % 152.04/152.33 (define @t2362 () (@list @t264 @t736)) % 152.04/152.33 (define @t2363 () (@var "Nat" tptp.nat)) % 152.04/152.33 (define @t2364 () (@var "V" tptp.int)) % 152.04/152.33 (define @t2365 () (_ tptp.number_number_of_nat @t2364)) % 152.04/152.33 (define @t2366 () (@list @t2364)) % 152.04/152.33 (define @t2367 () (_ tptp.times_times_nat @t265)) % 152.04/152.33 (define @t2368 () (_ @t2367 @t264)) % 152.04/152.33 (define @t2369 () (= @t2368 tptp.zero_zero_nat)) % 152.04/152.33 (define @t2370 () (= @t274 tptp.zero_zero_nat)) % 152.04/152.33 (define @t2371 () (or @t292 @t2370)) % 152.04/152.33 (define @t2372 () (_ tptp.times_times_nat @t274)) % 152.04/152.33 (define @t2373 () (_ @t2372 @t264)) % 152.04/152.33 (define @t2374 () (_ @t2372 @t265)) % 152.04/152.33 (define @t2375 () (= @t2374 @t2373)) % 152.04/152.33 (define @t2376 () (_ tptp.times_times_nat @t264)) % 152.04/152.33 (define @t2377 () (_ @t2376 @t274)) % 152.04/152.33 (define @t2378 () (_ @t2367 @t274)) % 152.04/152.33 (define @t2379 () (_ tptp.times_times_nat @t376)) % 152.04/152.33 (define @t2380 () (_ @t2379 @t264)) % 152.04/152.33 (define @t2381 () (_ @t2379 @t265)) % 152.04/152.33 (define @t2382 () (_ tptp.times_times_nat @t298)) % 152.04/152.33 (define @t2383 () (_ tptp.times_times_nat @t296)) % 152.04/152.33 (define @t2384 () (_ @t2383 @t274)) % 152.04/152.33 (define @t2385 () (_ tptp.ord_less_eq_nat @t2384)) % 152.04/152.33 (define @t2386 () (_ @t2372 @t298)) % 152.04/152.33 (define @t2387 () (_ @t2372 @t296)) % 152.04/152.33 (define @t2388 () (_ @t2382 @t274)) % 152.04/152.33 (define @t2389 () (_ @t2367 @t265)) % 152.04/152.33 (define @t2390 () (= @t264 tptp.one_one_nat)) % 152.04/152.33 (define @t2391 () (and (= @t265 tptp.one_one_nat) @t2390)) % 152.04/152.33 (define @t2392 () (_ @t2330 @t274)) % 152.04/152.33 (define @t2393 () (and @t2392 @t2281)) % 152.04/152.33 (define @t2394 () (_ (_ tptp.ord_less_nat @t2374) @t2373)) % 152.04/152.33 (define @t2395 () (_ tptp.ord_less_nat @t2340)) % 152.04/152.33 (define @t2396 () (_ @t2395 @t265)) % 152.04/152.33 (define @t2397 () (_ @t2395 @t264)) % 152.04/152.33 (define @t2398 () (_ @t2376 @t265)) % 152.04/152.33 (define @t2399 () (_ tptp.ord_less_eq_nat @t2340)) % 152.04/152.33 (define @t2400 () (=> @t2392 @t294)) % 152.04/152.33 (define @t2401 () (_ (_ tptp.ord_less_eq_nat @t2374) @t2373)) % 152.04/152.33 (define @t2402 () (_ (_ tptp.plus_plus_nat (_ (_ tptp.times_times_nat @t2264) @t1805)) @t264)) % 152.04/152.33 (define @t2403 () (_ tptp.plus_plus_nat (_ @t2382 @t1805))) % 152.04/152.33 (define @t2404 () (_ @t2403 @t264)) % 152.04/152.33 (define @t2405 () (_ tptp.plus_plus_nat (_ @t2383 @t1805))) % 152.04/152.33 (define @t2406 () (_ @t2405 @t265)) % 152.04/152.33 (define @t2407 () (_ (_ tptp.ord_less_nat @t2406) @t2404)) % 152.04/152.33 (define @t2408 () (@list @t1805 @t265 @t264 @t296 @t298)) % 152.04/152.33 (define @t2409 () (@var "L" tptp.int)) % 152.04/152.33 (define @t2410 () (@var "K" tptp.int)) % 152.04/152.33 (define @t2411 () (_ tptp.ord_less_int @t2410)) % 152.04/152.33 (define @t2412 () (_ @t2411 @t2409)) % 152.04/152.33 (define @t2413 () (_ tptp.number_number_of_int @t2409)) % 152.04/152.33 (define @t2414 () (_ tptp.number_number_of_int @t2410)) % 152.04/152.33 (define @t2415 () (@list @t2410 @t2409)) % 152.04/152.33 (define @t2416 () (@var "Z" tptp.int)) % 152.04/152.33 (define @t2417 () (@list @t2416)) % 152.04/152.33 (define @t2418 () (_ tptp.times_times_int @t2416)) % 152.04/152.33 (define @t2419 () (@var "W" tptp.int)) % 152.04/152.33 (define @t2420 () (_ tptp.times_times_int @t2419)) % 152.04/152.33 (define @t2421 () (@list @t2416 @t2419)) % 152.04/152.33 (define @t2422 () (_ tptp.number_number_of_int @t2419)) % 152.04/152.33 (define @t2423 () (_ tptp.number_number_of_int @t2364)) % 152.04/152.33 (define @t2424 () (@list @t2364 @t2419)) % 152.04/152.33 (define @t2425 () (@var "Z3" tptp.int)) % 152.04/152.33 (define @t2426 () (@var "Z2" tptp.int)) % 152.04/152.33 (define @t2427 () (_ tptp.times_times_int @t2426)) % 152.04/152.33 (define @t2428 () (@var "Z1" tptp.int)) % 152.04/152.33 (define @t2429 () (_ tptp.times_times_int @t2428)) % 152.04/152.33 (define @t2430 () (@list @t2428 @t2426 @t2425)) % 152.04/152.33 (define @t2431 () (_ tptp.ord_less_eq_int @t2410)) % 152.04/152.33 (define @t2432 () (_ @t2431 @t2409)) % 152.04/152.33 (define @t2433 () (_ @t2427 @t2419)) % 152.04/152.33 (define @t2434 () (_ @t2429 @t2419)) % 152.04/152.33 (define @t2435 () (_ (_ tptp.minus_minus_int @t2428) @t2426)) % 152.04/152.33 (define @t2436 () (@list @t2428 @t2426 @t2419)) % 152.04/152.33 (define @t2437 () (_ @t2420 @t2426)) % 152.04/152.33 (define @t2438 () (_ @t2420 @t2428)) % 152.04/152.33 (define @t2439 () (@list @t2419 @t2428 @t2426)) % 152.04/152.33 (define @t2440 () (_ tptp.plus_plus_int @t2428)) % 152.04/152.33 (define @t2441 () (_ @t2440 @t2426)) % 152.04/152.33 (define @t2442 () (_ tptp.plus_plus_int @t2364)) % 152.04/152.33 (define @t2443 () (@var "J" tptp.int)) % 152.04/152.33 (define @t2444 () (_ tptp.times_times_int @t2410)) % 152.04/152.33 (define @t2445 () (@var "I_1" tptp.int)) % 152.04/152.33 (define @t2446 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 152.04/152.33 (define @t2447 () (_ @t2446 @t2410)) % 152.04/152.33 (define @t2448 () (_ tptp.ord_less_int @t2445)) % 152.04/152.33 (define @t2449 () (_ @t2448 @t2443)) % 152.04/152.33 (define @t2450 () (@list @t2410 @t2445 @t2443)) % 152.04/152.33 (define @t2451 () (@var "N" tptp.int)) % 152.04/152.33 (define @t2452 () (@var "M" tptp.int)) % 152.04/152.33 (define @t2453 () (_ (_ tptp.times_times_int @t2452) @t2451)) % 152.04/152.33 (define @t2454 () (_ tptp.plus_plus_int tptp.one_one_int)) % 152.04/152.33 (define @t2455 () (_ @t2454 @t2416)) % 152.04/152.33 (define @t2456 () (_ (_ tptp.plus_plus_int @t2455) @t2416)) % 152.04/152.33 (define @t2457 () (_ tptp.plus_plus_int @t2416)) % 152.04/152.33 (define @t2458 () (_ tptp.ord_less_eq_int tptp.one_one_int)) % 152.04/152.33 (define @t2459 () (_ tptp.minus_minus_int @t2410)) % 152.04/152.33 (define @t2460 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 152.04/152.33 (define @t2461 () (_ @t2460 @t2416)) % 152.04/152.33 (define @t2462 () (_ tptp.ord_less_int @t2416)) % 152.04/152.33 (define @t2463 () (_ tptp.plus_plus_int @t2410)) % 152.04/152.33 (define @t2464 () (_ tptp.ord_less_eq_int @t2445)) % 152.04/152.33 (define @t2465 () (_ @t2464 @t2443)) % 152.04/152.33 (define @t2466 () (@var "X" tptp.int)) % 152.04/152.33 (define @t2467 () (_ tptp.plus_plus_int @t2466)) % 152.04/152.33 (define @t2468 () (@var "Y" tptp.int)) % 152.04/152.33 (define @t2469 () (_ tptp.plus_plus_int @t2468)) % 152.04/152.33 (define @t2470 () (_ tptp.plus_plus_int @t2419)) % 152.04/152.33 (define @t2471 () (_ @t2470 @t2416)) % 152.04/152.33 (define @t2472 () (_ tptp.ord_less_eq_int @t2419)) % 152.04/152.33 (define @t2473 () (@list @t2419)) % 152.04/152.33 (define @t2474 () (_ @t2472 @t2416)) % 152.04/152.33 (define @t2475 () (_ (_ tptp.ord_less_eq_int @t2416) @t2419)) % 152.04/152.33 (define @t2476 () (_ @t2464 @t2410)) % 152.04/152.33 (define @t2477 () (= @t2416 @t2419)) % 152.04/152.33 (define @t2478 () (_ tptp.ord_less_int @t2419)) % 152.04/152.33 (define @t2479 () (_ @t2478 @t2416)) % 152.04/152.33 (define @t2480 () (@list @t2419 @t2416)) % 152.04/152.33 (define @t2481 () (= @t2466 @t2468)) % 152.04/152.33 (define @t2482 () (@list @t2466 @t2468)) % 152.04/152.33 (define @t2483 () (@var "Z_3" tptp.int)) % 152.04/152.33 (define @t2484 () (@var "W_1" tptp.int)) % 152.04/152.33 (define @t2485 () (_ @t2478 (_ @t2457 tptp.one_one_int))) % 152.04/152.33 (define @t2486 () (_ (_ tptp.ord_less_eq_int (_ @t2470 tptp.one_one_int)) @t2416)) % 152.04/152.33 (define @t2487 () (_ (_ tptp.plus_plus_nat (_ (_ tptp.times_times_nat @t303) @t1805)) @t265)) % 152.04/152.33 (define @t2488 () (_ (_ tptp.ord_less_eq_nat @t2406) @t2404)) % 152.04/152.33 (define @t2489 () (_ @t299 @t296)) % 152.04/152.33 (define @t2490 () (@list @t1805 @t265 @t264 @t298 @t296)) % 152.04/152.33 (define @t2491 () (_ (_ tptp.minus_minus_nat @t2406) @t2404)) % 152.04/152.33 (define @t2492 () (= @t2406 @t2404)) % 152.04/152.33 (define @t2493 () (@var "Q_1" tptp.int)) % 152.04/152.33 (define @t2494 () (@var "Q" tptp.int)) % 152.04/152.33 (define @t2495 () (_ tptp.ord_less_eq_int @t2494)) % 152.04/152.33 (define @t2496 () (_ @t2495 @t2493)) % 152.04/152.33 (define @t2497 () (@var "B_2" tptp.int)) % 152.04/152.33 (define @t2498 () (@var "B_1" tptp.int)) % 152.04/152.33 (define @t2499 () (_ (_ tptp.ord_less_eq_int @t2498) @t2497)) % 152.04/152.33 (define @t2500 () (_ @t2446 @t2498)) % 152.04/152.33 (define @t2501 () (@var "R" tptp.int)) % 152.04/152.33 (define @t2502 () (_ @t2460 @t2501)) % 152.04/152.33 (define @t2503 () (@var "R_1" tptp.int)) % 152.04/152.33 (define @t2504 () (_ tptp.ord_less_int @t2503)) % 152.04/152.33 (define @t2505 () (_ @t2504 @t2497)) % 152.04/152.33 (define @t2506 () (_ (_ tptp.plus_plus_int (_ (_ tptp.times_times_int @t2498) @t2494)) @t2501)) % 152.04/152.33 (define @t2507 () (_ (_ tptp.ord_less_int @t2506) tptp.zero_zero_int)) % 152.04/152.33 (define @t2508 () (_ tptp.times_times_int @t2497)) % 152.04/152.33 (define @t2509 () (_ (_ tptp.plus_plus_int (_ @t2508 @t2493)) @t2503)) % 152.04/152.33 (define @t2510 () (= @t2509 @t2506)) % 152.04/152.33 (define @t2511 () (@list @t2497 @t2493 @t2503 @t2498 @t2494 @t2501)) % 152.04/152.33 (define @t2512 () (_ tptp.ord_less_eq_int @t2493)) % 152.04/152.33 (define @t2513 () (_ @t2512 @t2494)) % 152.04/152.33 (define @t2514 () (_ tptp.ord_less_int @t2497)) % 152.04/152.33 (define @t2515 () (_ (_ tptp.ord_less_eq_int (_ (_ tptp.plus_plus_int (_ @t2508 @t2494)) @t2501)) @t2509)) % 152.04/152.33 (define @t2516 () (@list @t2497 @t2494 @t2501 @t2493 @t2503)) % 152.04/152.33 (define @t2517 () (@list @t2410)) % 152.04/152.33 (define @t2518 () (@var "A_1" tptp.int)) % 152.04/152.33 (define @t2519 () (= @t2518 (_ (_ tptp.plus_plus_int @t2503) (_ (_ tptp.times_times_int @t2518) @t2493)))) % 152.04/152.33 (define @t2520 () (_ @t2446 @t2518)) % 152.04/152.33 (define @t2521 () (@list @t2503 @t2493 @t2518)) % 152.04/152.33 (define @t2522 () (_ @t2460 @t2503)) % 152.04/152.33 (define @t2523 () (_ tptp.ord_less_int @t2501)) % 152.04/152.33 (define @t2524 () (_ @t2523 @t2498)) % 152.04/152.33 (define @t2525 () (_ @t2460 @t2506)) % 152.04/152.33 (define @t2526 () (@list @t2498 @t2494 @t2501)) % 152.04/152.33 (define @t2527 () (@var "P" (-> tptp.int Bool))) % 152.04/152.33 (define @t2528 () (_ @t2527 @t2445)) % 152.04/152.33 (define @t2529 () (@var "I" tptp.int)) % 152.04/152.33 (define @t2530 () (_ @t2527 @t2529)) % 152.04/152.33 (define @t2531 () (=> @t2530 (_ @t2527 (_ (_ tptp.minus_minus_int @t2529) tptp.one_one_int)))) % 152.04/152.33 (define @t2532 () (@list @t2529)) % 152.04/152.33 (define @t2533 () (@list @t2527 @t2445 @t2410)) % 152.04/152.33 (define @t2534 () (=> (forall @t2532 (=> (_ (_ tptp.ord_less_eq_int @t2529) @t2410) @t2531)) @t2528)) % 152.04/152.33 (define @t2535 () (_ @t2527 @t2410)) % 152.04/152.33 (define @t2536 () (=> @t2530 (_ @t2527 (_ (_ tptp.plus_plus_int @t2529) tptp.one_one_int)))) % 152.04/152.33 (define @t2537 () (_ @t2463 tptp.one_one_int)) % 152.04/152.33 (define @t2538 () (@list @t2527 @t2410 @t2445)) % 152.04/152.33 (define @t2539 () (forall @t2532 (=> (_ @t2431 @t2529) @t2536))) % 152.04/152.33 (define @t2540 () (_ @t2460 @t2468)) % 152.04/152.33 (define @t2541 () (_ @t2460 @t2466)) % 152.04/152.33 (define @t2542 () (@list @t2468 @t2466)) % 152.04/152.33 (define @t2543 () (@var "P_1" (-> tptp.int Bool))) % 152.04/152.33 (define @t2544 () (_ @t2543 @t260)) % 152.04/152.33 (define @t2545 () (_ @t2460 @t260)) % 152.04/152.33 (define @t2546 () (_ @t2527 @t260)) % 152.04/152.33 (define @t2547 () (and @t2545 @t2546)) % 152.04/152.33 (define @t2548 () (_ tptp.collect_int (lambda @t263 @t2547))) % 152.04/152.33 (define @t2549 () (= @t2546 @t2544)) % 152.04/152.33 (define @t2550 () (@var "D" tptp.int)) % 152.04/152.33 (define @t2551 () (_ @t2444 @t2550)) % 152.04/152.33 (define @t2552 () (_ tptp.minus_minus_int @t260)) % 152.04/152.33 (define @t2553 () (_ @t2460 @t2410)) % 152.04/152.33 (define @t2554 () (_ @t2446 @t2550)) % 152.04/152.33 (define @t2555 () (@list @t2410 @t2527 @t2550)) % 152.04/152.33 (define @t2556 () (@var "P_1" Bool)) % 152.04/152.33 (define @t2557 () (@var "P" Bool)) % 152.04/152.33 (define @t2558 () (=> @t2541 (= @t2557 @t2556))) % 152.04/152.33 (define @t2559 () (@list @t2556 @t2557 @t2466)) % 152.04/152.33 (define @t2560 () (_ tptp.plus_plus_int @t260)) % 152.04/152.33 (define @t2561 () (_ tptp.ex @t2527)) % 152.04/152.33 (define @t2562 () (@var "P1" (-> tptp.int Bool))) % 152.04/152.33 (define @t2563 () (_ @t2562 @t260)) % 152.04/152.33 (define @t2564 () (@var "Z_2" tptp.int)) % 152.04/152.33 (define @t2565 () (@list @t2564)) % 152.04/152.33 (define @t2566 () (@var "K_1" tptp.int)) % 152.04/152.33 (define @t2567 () (_ @t2552 (_ (_ tptp.times_times_int @t2566) @t2550))) % 152.04/152.33 (define @t2568 () (@list @t260 @t2566)) % 152.04/152.33 (define @t2569 () (_ (_ tptp.nat_tsub @t2466) @t2468)) % 152.04/152.33 (define @t2570 () (_ (_ tptp.ord_less_eq_int @t2468) @t2466)) % 152.04/152.33 (define @t2571 () (_ tptp.minus_minus_int @t2466)) % 152.04/152.33 (define @t2572 () (=> @t2570 (= @t2569 (_ @t2571 @t2468)))) % 152.04/152.33 (define @t2573 () (_ tptp.semiri1621563631at_int @t264)) % 152.04/152.33 (define @t2574 () (_ tptp.semiri1621563631at_int @t274)) % 152.04/152.33 (define @t2575 () (_ tptp.semiri1621563631at_int tptp.one_one_nat)) % 152.04/152.33 (define @t2576 () (_ tptp.semiri1621563631at_int tptp.zero_zero_nat)) % 152.04/152.33 (define @t2577 () (_ tptp.semiri1621563631at_int @t265)) % 152.04/152.33 (define @t2578 () (_ tptp.semiri1621563631at_int @t2170)) % 152.04/152.33 (define @t2579 () (_ tptp.plus_plus_int @t2577)) % 152.04/152.33 (define @t2580 () (_ tptp.semiri1621563631at_int @t275)) % 152.04/152.33 (define @t2581 () (_ tptp.semiri1621563631at_int @t2368)) % 152.04/152.33 (define @t2582 () (_ (_ tptp.times_times_int @t2577) @t2573)) % 152.04/152.33 (define @t2583 () (_ tptp.semiri1621563631at_int @t285)) % 152.04/152.33 (define @t2584 () (_ tptp.semiri1621563631at_int @t286)) % 152.04/152.33 (define @t2585 () (_ tptp.semiri1621563631at_int (_ (_ tptp.minus_minus_nat @t286) @t285))) % 152.04/152.33 (define @t2586 () (@var "A" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2587 () (_ tptp.image_nat_int tptp.semiri1621563631at_int)) % 152.04/152.33 (define @t2588 () (_ @t2587 @t2586)) % 152.04/152.33 (define @t2589 () (@list @t2586)) % 152.04/152.33 (define @t2590 () (_ @t2527 (_ tptp.semiri1621563631at_int @t256))) % 152.04/152.33 (define @t2591 () (@list @t2527)) % 152.04/152.33 (define @t2592 () (_ tptp.times_times_int @t2574)) % 152.04/152.33 (define @t2593 () (= @t2410 @t2580)) % 152.04/152.33 (define @t2594 () (@var "B" (-> tptp.nat Bool))) % 152.04/152.33 (define @t2595 () (_ @t2587 @t2594)) % 152.04/152.33 (define @t2596 () (@list @t2586 @t2594)) % 152.04/152.33 (define @t2597 () (_ tptp.semiri1621563631at_int (_ (_ (_ tptp.if_nat @t2557) @t286) @t285))) % 152.04/152.33 (define @t2598 () (_ tptp.semiri1621563631at_int @t741)) % 152.04/152.33 (define @t2599 () (_ (_ tptp.times_times_int (_ (_ tptp.plus_plus_int (_ tptp.abs_abs_int (_ @t2571 @t2416))) tptp.one_one_int)) @t2550)) % 152.04/152.33 (define @t2600 () (@var "Z_1" tptp.int)) % 152.04/152.33 (define @t2601 () (_ tptp.nat_neg @t2423)) % 152.04/152.33 (define @t2602 () (@var "V_1" tptp.int)) % 152.04/152.33 (define @t2603 () (_ tptp.number_number_of_int @t2602)) % 152.04/152.33 (define @t2604 () (_ tptp.nat_neg @t2603)) % 152.04/152.33 (define @t2605 () (not @t2604)) % 152.04/152.33 (define @t2606 () (not @t2601)) % 152.04/152.33 (define @t2607 () (_ tptp.number_number_of_nat @t2602)) % 152.04/152.33 (define @t2608 () (_ (_ tptp.plus_plus_nat @t2607) @t274)) % 152.04/152.33 (define @t2609 () (_ tptp.plus_plus_nat @t2365)) % 152.04/152.33 (define @t2610 () (_ @t2609 @t2608)) % 152.04/152.33 (define @t2611 () (_ tptp.semiri1621563631at_int @t2365)) % 152.04/152.33 (define @t2612 () (@var "F" (-> tptp.nat tptp.int))) % 152.04/152.33 (define @t2613 () (_ @t2612 @t280)) % 152.04/152.33 (define @t2614 () (= @t2613 @t2410)) % 152.04/152.33 (define @t2615 () (_ @t2431 (_ @t2612 @t264))) % 152.04/152.33 (define @t2616 () (_ (_ tptp.ord_less_eq_int (_ tptp.abs_abs_int (_ (_ tptp.minus_minus_int (_ @t2612 (_ (_ tptp.plus_plus_nat @t280) tptp.one_one_nat))) @t2613))) tptp.one_one_int)) % 152.04/152.33 (define @t2617 () (_ @t293 @t280)) % 152.04/152.33 (define @t2618 () (_ tptp.number_number_of_nat (_ tptp.succ @t2364))) % 152.04/152.33 (define @t2619 () (_ tptp.suc (_ @t2609 @t264))) % 152.04/152.33 (define @t2620 () (_ tptp.suc @t2365)) % 152.04/152.33 (define @t2621 () (_ tptp.number_number_of_nat @t2419)) % 152.04/152.33 (define @t2622 () (_ tptp.bit1 @t2419)) % 152.04/152.33 (define @t2623 () (_ tptp.number_number_of_nat @t2622)) % 152.04/152.33 (define @t2624 () (_ tptp.nat_neg @t2422)) % 152.04/152.33 (define @t2625 () (_ @t2054 @t2365)) % 152.04/152.33 (define @t2626 () (_ (_ tptp.ord_less_int @t2364) tptp.pls)) % 152.04/152.33 (define @t2627 () (_ tptp.bit1 tptp.pls)) % 152.04/152.33 (define @t2628 () (_ tptp.number_number_of_int tptp.pls)) % 152.04/152.33 (define @t2629 () (_ tptp.bit1 @t2627)) % 152.04/152.33 (define @t2630 () (_ tptp.number_number_of_nat @t2629)) % 152.04/152.33 (define @t2631 () (_ tptp.number_number_of_int @t2629)) % 152.04/152.33 (define @t2632 () (_ tptp.number_number_of_nat @t2627)) % 152.04/152.33 (define @t2633 () (_ tptp.bit1 @t2410)) % 152.04/152.33 (define @t2634 () (_ tptp.number_number_of_nat tptp.pls)) % 152.04/152.33 (define @t2635 () (_ tptp.bit1 @t2409)) % 152.04/152.33 (define @t2636 () (_ tptp.ord_less_eq_int tptp.pls)) % 152.04/152.33 (define @t2637 () (_ @t2636 @t2410)) % 152.04/152.33 (define @t2638 () (_ tptp.ord_less_eq_int @t2633)) % 152.04/152.33 (define @t2639 () (@var "K2" tptp.int)) % 152.04/152.33 (define @t2640 () (@var "K1" tptp.int)) % 152.04/152.33 (define @t2641 () (_ tptp.bit1 @t2639)) % 152.04/152.33 (define @t2642 () (_ tptp.bit1 @t2640)) % 152.04/152.33 (define @t2643 () (@list @t2640 @t2639)) % 152.04/152.33 (define @t2644 () (_ tptp.ord_less_int tptp.pls)) % 152.04/152.33 (define @t2645 () (_ @t2411 tptp.pls)) % 152.04/152.33 (define @t2646 () (_ tptp.ord_less_int @t2633)) % 152.04/152.33 (define @t2647 () (@var "Y" tptp.x_a)) % 152.04/152.33 (define @t2648 () (@var "X" tptp.x_a)) % 152.04/152.33 (define @t2649 () (= @t2648 @t2647)) % 152.04/152.33 (define @t2650 () (_ (_ tptp.fequal_a @t2648) @t2647)) % 152.04/152.33 (define @t2651 () (@list @t2648 @t2647)) % 152.04/152.33 (define @t2652 () (_ (_ tptp.fequal_int @t2466) @t2468)) % 152.04/152.33 (define @t2653 () (_ (_ tptp.fequal_nat @t286) @t285)) % 152.04/152.33 (define @t2654 () (_ (_ tptp.image_pname_a tptp.mgt_call) tptp.u)) % 152.04/152.33 (define @t2655 () (_ (_ tptp.ord_less_eq_a_o tptp.g) @t2654)) % 152.04/152.33 (define @t2656 () (_ tptp.finite_card_a @t2654)) % 152.04/152.33 (define @t2657 () (_ tptp.suc tptp.na)) % 152.04/152.33 (define @t2658 () (_ (_ tptp.member_pname tptp.pn) tptp.u)) % 152.04/152.33 (define @t2659 () (_ tptp.mgt_call tptp.pn)) % 152.04/152.33 (define @t2660 () (not (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.insert_a @t2659) tptp.g)) @t2654))) % 152.04/152.33 (define @t2661 () (@var "BOUND_VARIABLE_48936" (@ho-elim-sort (-> tptp.pname Bool)))) % 152.04/152.33 (define @t2662 () (@var "BOUND_VARIABLE_48937" (@ho-elim-sort (-> tptp.pname tptp.x_a)))) % 152.04/152.33 (define @t2663 () (@const 0 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname tptp.x_a)) (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool)))) % 152.04/152.33 (define @t2664 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname tptp.x_a)) (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool)) (@ho-elim-sort (-> tptp.pname tptp.x_a)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool))))) % 152.04/152.33 (define @t2665 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) tptp.x_a Bool)) (@ho-elim-sort (-> tptp.pname Bool)) (@ho-elim-sort (-> tptp.x_a Bool))))) % 152.04/152.33 (define @t2666 () (@const 3 (-> (@ho-elim-sort (-> tptp.pname tptp.x_a)) tptp.pname tptp.x_a))) % 152.04/152.33 (define @t2667 () (@const 4 (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) Bool)))) % 152.04/152.33 (define @t2668 () (@const 5 (-> (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) Bool)) tptp.x_a (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) Bool))))) % 152.04/152.33 (define @t2669 () (@const 6 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) Bool))) % 152.04/152.33 (define @t2670 () (@const 7 (@ho-elim-sort (-> tptp.pname (@ho-elim-sort (-> tptp.pname Bool)) Bool)))) % 152.04/152.33 (define @t2671 () (@const 8 (-> (@ho-elim-sort (-> tptp.pname (@ho-elim-sort (-> tptp.pname Bool)) Bool)) tptp.pname (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) Bool))))) % 152.04/152.33 (define @t2672 () (@const 9 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.pname Bool)) Bool)) (@ho-elim-sort (-> tptp.pname Bool)) Bool))) % 152.04/152.33 (define @t2673 () (forall (@list @t2661 @t2662 @t675) (or (not (_ @t2672 (_ @t2671 @t2670 @t675) @t2661)) (_ @t2669 (_ @t2668 @t2667 (_ @t2666 @t2662 @t675)) (_ @t2665 (_ @t2664 @t2663 @t2662) @t2661))))) % 152.04/152.33 (define @t2674 () (_ @t671 @t675)) % 152.04/152.33 (define @t2675 () (tptp.member_a @t2674 @t672)) % 152.04/152.33 (define @t2676 () (tptp.member_pname @t675 @t670)) % 152.04/152.33 (define @t2677 () (not @t2676)) % 152.04/152.33 (define @t2678 () (or @t2677 @t2675)) % 152.04/152.33 (define @t2679 () (@list @t670 @t671 @t675)) % 152.04/152.33 (define @t2680 () (not (= @t2674 @t2674))) % 152.04/152.33 (define @t2681 () (or @t2680 @t2677 @t2675)) % 152.04/152.33 (define @t2682 () (tptp.member_a @t673 @t672)) % 152.04/152.33 (define @t2683 () (not (= @t673 @t2674))) % 152.04/152.33 (define @t2684 () (or @t2683 @t2683 @t2677 @t2682)) % 152.04/152.33 (define @t2685 () (@list @t673)) % 152.04/152.33 (define @t2686 () (or @t2683 @t2677 @t2682)) % 152.04/152.33 (define @t2687 () (forall @t2685 @t2686)) % 152.04/152.33 (define @t2688 () (forall @t2679 @t2687)) % 152.04/152.33 (define @t2689 () (forall (@list @t670 @t671 @t675 @t673) @t2686)) % 152.04/152.33 (define @t2690 () (not @t676)) % 152.04/152.33 (define @t2691 () (not @t679)) % 152.04/152.33 (define @t2692 () (or @t2691 @t2690 @t674)) % 152.04/152.33 (define @t2693 () (@var "BOUND_VARIABLE_50942" (@ho-elim-sort (-> tptp.x_a Bool)))) % 152.04/152.33 (define @t2694 () (@var "BOUND_VARIABLE_50943" (@ho-elim-sort (-> tptp.x_a Bool)))) % 152.04/152.33 (define @t2695 () (@const 10 (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool)))) % 152.04/152.33 (define @t2696 () (@const 11 (-> (@ho-elim-sort (-> tptp.x_a (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool)) tptp.x_a (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool))))) % 152.04/152.33 (define @t2697 () (@const 12 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool))))) % 152.04/152.33 (define @t2698 () (@const 13 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) Bool)))) % 152.04/152.33 (define @t2699 () (@const 14 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) Bool)) (@ho-elim-sort (-> tptp.x_a Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.x_a Bool)) Bool))))) % 152.04/152.33 (define @t2700 () (_ @t2669 (_ @t2699 @t2698 (_ @t2697 (_ @t2696 @t2695 @t1178) @t2694)) @t2693)) % 152.04/152.33 (define @t2701 () (and (_ @t2669 (_ @t2668 @t2667 @t1178) @t2693) (_ @t2669 (_ @t2699 @t2698 @t2694) @t2693))) % 152.04/152.33 (define @t2702 () (@list @t1178 @t2694 @t2693)) % 152.04/152.33 (define @t2703 () (forall @t2702 (= @t2700 @t2701))) % 152.04/152.33 (define @t2704 () (tptp.ord_less_eq_a_o @t1176 @t1175)) % 152.04/152.33 (define @t2705 () (tptp.member_a @t1178 @t1175)) % 152.04/152.33 (define @t2706 () (tptp.ord_less_eq_a_o @t1181 @t1175)) % 152.04/152.33 (define @t2707 () (@const 15 (@ho-elim-sort (-> tptp.pname Bool)))) % 152.04/152.33 (define @t2708 () (@const 16 (@ho-elim-sort (-> tptp.pname tptp.x_a)))) % 152.04/152.33 (define @t2709 () (_ @t2665 (_ @t2664 @t2663 @t2708) @t2707)) % 152.04/152.33 (define @t2710 () (@const 17 (@ho-elim-sort (-> tptp.x_a Bool)))) % 152.04/152.33 (define @t2711 () (_ @t2669 (_ @t2699 @t2698 @t2710) @t2709)) % 152.04/152.33 (define @t2712 () (_ @t2666 @t2708 tptp.pn)) % 152.04/152.33 (define @t2713 () (_ @t2669 (_ @t2668 @t2667 @t2712) @t2709)) % 152.04/152.33 (define @t2714 () (and @t2713 @t2711)) % 152.04/152.33 (define @t2715 () (_ @t2669 (_ @t2699 @t2698 (_ @t2697 (_ @t2696 @t2695 @t2712) @t2710)) @t2709)) % 152.04/152.33 (define @t2716 () (forall @t2702 (= @t2701 @t2700))) % 152.04/152.33 (define @t2717 () (= @t2714 @t2715)) % 152.04/152.33 (define @t2718 () (= @t2715 @t2714)) % 152.04/152.33 (define @t2719 () (not @t2714)) % 152.04/152.33 (define @t2720 () (@list true false)) % 152.04/152.33 (define @t2721 () (not @t2713)) % 152.04/152.33 (define @t2722 () (@list false true)) % 152.04/152.33 (define @t2723 () (_ @t2672 (_ @t2671 @t2670 tptp.pn) @t2707)) % 152.04/152.33 (define @t2724 () (not @t2723)) % 152.04/152.33 (define @t2725 () (or @t2724 @t2713)) % 152.04/152.33 (define @t2726 () (not @t2725)) % 152.04/152.33 (assume @p1 (forall (@list @t1 @t2) (=> (_ (_ tptp.ord_less_eq_a_o @t1) @t2) (_ @t3 @t1)))) % 152.04/152.33 (assume @p2 (forall (@list @t4) (=> (_ tptp.finite_finite_int_o @t4) (_ tptp.finite229719499nt_o_o (_ tptp.collect_int_o_o (lambda (@list @t5) (_ (_ tptp.ord_less_eq_int_o_o @t5) @t4))))))) % 152.04/152.33 (assume @p3 (forall (@list @t6) (=> (_ tptp.finite_finite_nat_o @t6) (_ tptp.finite1676163439at_o_o (_ tptp.collect_nat_o_o (lambda (@list @t7) (_ (_ tptp.ord_less_eq_nat_o_o @t7) @t6))))))) % 152.04/152.33 (assume @p4 (forall (@list @t8) (=> (_ tptp.finite297249702name_o @t8) (_ tptp.finite1066544169me_o_o (_ tptp.collect_pname_o_o (lambda (@list @t9) (_ (_ tptp.ord_le1205211808me_o_o @t9) @t8))))))) % 152.04/152.33 (assume @p5 (forall (@list @t10) (=> (_ tptp.finite_finite_a_o @t10) (_ tptp.finite_finite_a_o_o (_ tptp.collect_a_o_o (lambda (@list @t11) (_ (_ tptp.ord_less_eq_a_o_o @t11) @t10))))))) % 152.04/152.33 (assume @p6 (forall (@list @t12) (=> (_ tptp.finite_finite_a @t12) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda (@list @t13) (_ (_ tptp.ord_less_eq_a_o @t13) @t12))))))) % 152.04/152.33 (assume @p7 (forall (@list @t14) (=> (_ tptp.finite_finite_pname @t14) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda (@list @t15) (_ (_ tptp.ord_less_eq_pname_o @t15) @t14))))))) % 152.04/152.33 (assume @p8 (forall (@list @t16) (=> (_ tptp.finite_finite_nat @t16) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda (@list @t17) (_ (_ tptp.ord_less_eq_nat_o @t17) @t16))))))) % 152.04/152.33 (assume @p9 (forall (@list @t18) (=> (_ tptp.finite_finite_int @t18) (_ tptp.finite_finite_int_o (_ tptp.collect_int_o (lambda (@list @t19) (_ (_ tptp.ord_less_eq_int_o @t19) @t18))))))) % 152.04/152.33 (assume @p10 (forall (@list @t21 @t20) (=> @t22 (_ tptp.finite_finite_int_o (_ (_ tptp.image_pname_int_o @t21) @t20))))) % 152.04/152.33 (assume @p11 (forall (@list @t23 @t20) (=> @t22 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_pname_nat_o @t23) @t20))))) % 152.04/152.33 (assume @p12 (forall (@list @t24 @t20) (=> @t22 (_ tptp.finite297249702name_o (_ (_ tptp.image_pname_pname_o @t24) @t20))))) % 152.04/152.33 (assume @p13 (forall (@list @t25 @t20) (=> @t22 (_ tptp.finite_finite_a_o (_ (_ tptp.image_pname_a_o @t25) @t20))))) % 152.04/152.33 (assume @p14 (forall (@list @t27 @t26) (=> @t28 (_ tptp.finite_finite_a (_ (_ tptp.image_nat_a @t27) @t26))))) % 152.04/152.33 (assume @p15 (forall (@list @t29 @t26) (=> @t28 (_ tptp.finite_finite_int_o (_ (_ tptp.image_nat_int_o @t29) @t26))))) % 152.04/152.33 (assume @p16 (forall (@list @t30 @t26) (=> @t28 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_nat_nat_o @t30) @t26))))) % 152.04/152.33 (assume @p17 (forall (@list @t31 @t26) (=> @t28 (_ tptp.finite297249702name_o (_ (_ tptp.image_nat_pname_o @t31) @t26))))) % 152.04/152.33 (assume @p18 (forall (@list @t32 @t26) (=> @t28 (_ tptp.finite_finite_a_o (_ (_ tptp.image_nat_a_o @t32) @t26))))) % 152.04/152.33 (assume @p19 (forall (@list @t34 @t33) (=> @t35 (_ tptp.finite_finite_a (_ (_ tptp.image_int_a @t34) @t33))))) % 152.04/152.33 (assume @p20 (forall (@list @t36 @t33) (=> @t35 (_ tptp.finite_finite_int_o (_ (_ tptp.image_int_int_o @t36) @t33))))) % 152.04/152.33 (assume @p21 (forall (@list @t37 @t33) (=> @t35 (_ tptp.finite_finite_nat_o (_ (_ tptp.image_int_nat_o @t37) @t33))))) % 152.04/152.33 (assume @p22 (forall (@list @t38 @t33) (=> @t35 (_ tptp.finite297249702name_o (_ (_ tptp.image_int_pname_o @t38) @t33))))) % 152.04/152.33 (assume @p23 (forall (@list @t39 @t33) (=> @t35 (_ tptp.finite_finite_a_o (_ (_ tptp.image_int_a_o @t39) @t33))))) % 152.04/152.33 (assume @p24 (forall (@list @t41 @t40) (=> @t42 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_pname @t41) @t40))))) % 152.04/152.33 (assume @p25 (forall (@list @t44 @t43) (=> @t45 (_ tptp.finite_finite_pname (_ (_ tptp.image_int_o_pname @t44) @t43))))) % 152.04/152.33 (assume @p26 (forall (@list @t47 @t46) (=> @t48 (_ tptp.finite_finite_pname (_ (_ tptp.image_nat_o_pname @t47) @t46))))) % 152.04/152.33 (assume @p27 (forall (@list @t50 @t49) (=> @t51 (_ tptp.finite_finite_pname (_ (_ tptp.image_pname_o_pname @t50) @t49))))) % 152.04/152.33 (assume @p28 (forall (@list @t53 @t52) (=> @t54 (_ tptp.finite_finite_pname (_ (_ tptp.image_a_o_pname @t53) @t52))))) % 152.04/152.33 (assume @p29 (forall (@list @t55 @t40) (=> @t42 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_nat @t55) @t40))))) % 152.04/152.33 (assume @p30 (forall (@list @t56 @t43) (=> @t45 (_ tptp.finite_finite_nat (_ (_ tptp.image_int_o_nat @t56) @t43))))) % 152.04/152.33 (assume @p31 (forall (@list @t57 @t46) (=> @t48 (_ tptp.finite_finite_nat (_ (_ tptp.image_nat_o_nat @t57) @t46))))) % 152.04/152.33 (assume @p32 (forall (@list @t58 @t49) (=> @t51 (_ tptp.finite_finite_nat (_ (_ tptp.image_pname_o_nat @t58) @t49))))) % 152.04/152.33 (assume @p33 (forall (@list @t59 @t52) (=> @t54 (_ tptp.finite_finite_nat (_ (_ tptp.image_a_o_nat @t59) @t52))))) % 152.04/152.33 (assume @p34 (forall (@list @t60 @t40) (=> @t42 (_ tptp.finite_finite_int (_ (_ tptp.image_a_int @t60) @t40))))) % 152.04/152.33 (assume @p35 (forall (@list @t61 @t43) (=> @t45 (_ tptp.finite_finite_int (_ (_ tptp.image_int_o_int @t61) @t43))))) % 152.04/152.33 (assume @p36 (forall (@list @t62 @t46) (=> @t48 (_ tptp.finite_finite_int (_ (_ tptp.image_nat_o_int @t62) @t46))))) % 152.04/152.33 (assume @p37 (forall (@list @t63 @t49) (=> @t51 (_ tptp.finite_finite_int (_ (_ tptp.image_pname_o_int @t63) @t49))))) % 152.04/152.33 (assume @p38 (forall (@list @t64 @t52) (=> @t54 (_ tptp.finite_finite_int (_ (_ tptp.image_a_o_int @t64) @t52))))) % 152.04/152.33 (assume @p39 (forall (@list @t65 @t20) (=> @t22 (_ tptp.finite_finite_a (_ (_ tptp.image_pname_a @t65) @t20))))) % 152.04/152.33 (assume @p40 (forall (@list @t66 @t26) (=> @t28 (_ tptp.finite_finite_int (_ (_ tptp.image_nat_int @t66) @t26))))) % 152.04/152.33 (assume @p41 (forall (@list @t68 @t67) (=> (_ tptp.finite_finite_int_o @t67) (_ tptp.finite_finite_int_o (_ (_ tptp.insert_int_o @t68) @t67))))) % 152.04/152.33 (assume @p42 (forall (@list @t70 @t69) (=> (_ tptp.finite_finite_nat_o @t69) (_ tptp.finite_finite_nat_o (_ (_ tptp.insert_nat_o @t70) @t69))))) % 152.04/152.33 (assume @p43 (forall (@list @t72 @t71) (=> (_ tptp.finite297249702name_o @t71) (_ tptp.finite297249702name_o (_ (_ tptp.insert_pname_o @t72) @t71))))) % 152.04/152.33 (assume @p44 (forall (@list @t74 @t73) (=> (_ tptp.finite_finite_a_o @t73) (_ tptp.finite_finite_a_o (_ (_ tptp.insert_a_o @t74) @t73))))) % 152.04/152.33 (assume @p45 (forall (@list @t76 @t75) (=> (_ tptp.finite_finite_pname @t75) (_ tptp.finite_finite_pname (_ (_ tptp.insert_pname @t76) @t75))))) % 152.04/152.33 (assume @p46 (forall (@list @t78 @t77) (=> (_ tptp.finite_finite_nat @t77) (_ tptp.finite_finite_nat (_ (_ tptp.insert_nat @t78) @t77))))) % 152.04/152.33 (assume @p47 (forall (@list @t80 @t79) (=> (_ tptp.finite_finite_int @t79) (_ tptp.finite_finite_int (_ (_ tptp.insert_int @t80) @t79))))) % 152.04/152.33 (assume @p48 (forall (@list @t82 @t81) (=> (_ tptp.finite_finite_a @t81) (_ tptp.finite_finite_a (_ (_ tptp.insert_a @t82) @t81))))) % 152.04/152.33 (assume @p49 (forall (@list @t85 @t83) (=> @t86 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_pname_pname @t85) @t83))) @t84)))) % 152.04/152.33 (assume @p50 (forall (@list @t89 @t87) (=> @t90 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_a @t89) @t87))) @t88)))) % 152.04/152.33 (assume @p51 (forall (@list @t93 @t91) (=> @t94 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_int_o_a @t93) @t91))) @t92)))) % 152.04/152.33 (assume @p52 (forall (@list @t97 @t95) (=> @t98 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_nat_o_a @t97) @t95))) @t96)))) % 152.04/152.33 (assume @p53 (forall (@list @t101 @t99) (=> @t102 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_o_a @t101) @t99))) @t100)))) % 152.04/152.33 (assume @p54 (forall (@list @t105 @t103) (=> @t106 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_a_o_a @t105) @t103))) @t104)))) % 152.04/152.33 (assume @p55 (forall (@list @t107 @t83) (=> @t86 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_pname_nat @t107) @t83))) @t84)))) % 152.04/152.33 (assume @p56 (forall (@list @t108 @t87) (=> @t90 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_a_nat @t108) @t87))) @t88)))) % 152.04/152.33 (assume @p57 (forall (@list @t109 @t91) (=> @t94 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_int_o_nat @t109) @t91))) @t92)))) % 152.04/152.33 (assume @p58 (forall (@list @t110 @t95) (=> @t98 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_nat_o_nat @t110) @t95))) @t96)))) % 152.04/152.33 (assume @p59 (forall (@list @t111 @t99) (=> @t102 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_pname_o_nat @t111) @t99))) @t100)))) % 152.04/152.33 (assume @p60 (forall (@list @t112 @t103) (=> @t106 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.image_a_o_nat @t112) @t103))) @t104)))) % 152.04/152.33 (assume @p61 (forall (@list @t113 @t83) (=> @t86 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_pname_int @t113) @t83))) @t84)))) % 152.04/152.33 (assume @p62 (forall (@list @t114 @t87) (=> @t90 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_a_int @t114) @t87))) @t88)))) % 152.04/152.33 (assume @p63 (forall (@list @t115 @t91) (=> @t94 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_int_o_int @t115) @t91))) @t92)))) % 152.04/152.33 (assume @p64 (forall (@list @t116 @t95) (=> @t98 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_nat_o_int @t116) @t95))) @t96)))) % 152.04/152.33 (assume @p65 (forall (@list @t117 @t99) (=> @t102 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_pname_o_int @t117) @t99))) @t100)))) % 152.04/152.33 (assume @p66 (forall (@list @t118 @t103) (=> @t106 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_a_o_int @t118) @t103))) @t104)))) % 152.04/152.33 (assume @p67 (forall (@list @t119 @t87) (=> @t90 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_a_pname @t119) @t87))) @t88)))) % 152.04/152.33 (assume @p68 (forall (@list @t122 @t120) (=> @t123 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_nat_pname @t122) @t120))) @t121)))) % 152.04/152.33 (assume @p69 (forall (@list @t125 @t124) (=> (_ tptp.finite_finite_int @t124) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.image_int_pname @t125) @t124))) (_ tptp.finite_card_int @t124))))) % 152.04/152.33 (assume @p70 (forall (@list @t126 @t83) (=> @t86 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.image_pname_a @t126) @t83))) @t84)))) % 152.04/152.33 (assume @p71 (forall (@list @t127 @t120) (=> @t123 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.image_nat_int @t127) @t120))) @t121)))) % 152.04/152.33 (assume @p72 (forall (@list @t129 @t128) (=> (_ tptp.finite_finite_int_o @t128) (=> (_ (_ tptp.ord_less_eq_int_o_o @t129) @t128) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int_o @t129)) (_ tptp.finite_card_int_o @t128)))))) % 152.04/152.33 (assume @p73 (forall (@list @t131 @t130) (=> (_ tptp.finite_finite_nat_o @t130) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t131) @t130) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t131)) (_ tptp.finite_card_nat_o @t130)))))) % 152.04/152.33 (assume @p74 (forall (@list @t133 @t132) (=> (_ tptp.finite297249702name_o @t132) (=> (_ (_ tptp.ord_le1205211808me_o_o @t133) @t132) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t133)) (_ tptp.finite_card_pname_o @t132)))))) % 152.04/152.33 (assume @p75 (forall (@list @t135 @t134) (=> (_ tptp.finite_finite_a_o @t134) (=> (_ (_ tptp.ord_less_eq_a_o_o @t135) @t134) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t135)) (_ tptp.finite_card_a_o @t134)))))) % 152.04/152.33 (assume @p76 (forall (@list @t137 @t136) (=> (_ tptp.finite_finite_pname @t136) (=> (_ (_ tptp.ord_less_eq_pname_o @t137) @t136) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t137)) (_ tptp.finite_card_pname @t136)))))) % 152.04/152.33 (assume @p77 (forall (@list @t139 @t138) (=> (_ tptp.finite_finite_a @t138) (=> (_ (_ tptp.ord_less_eq_a_o @t139) @t138) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t139)) (_ tptp.finite_card_a @t138)))))) % 152.04/152.33 (assume @p78 (forall (@list @t141 @t140) (=> (_ tptp.finite_finite_nat @t140) (=> (_ (_ tptp.ord_less_eq_nat_o @t141) @t140) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t141)) (_ tptp.finite_card_nat @t140)))))) % 152.04/152.33 (assume @p79 (forall (@list @t143 @t142) (=> (_ tptp.finite_finite_int @t142) (=> (_ (_ tptp.ord_less_eq_int_o @t143) @t142) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int @t143)) (_ tptp.finite_card_int @t142)))))) % 152.04/152.33 (assume @p80 (forall (@list @t145 @t144) (=> (_ tptp.finite_finite_int_o @t144) (=> (_ (_ tptp.ord_less_eq_int_o_o @t145) @t144) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int_o @t144)) (_ tptp.finite_card_int_o @t145)) (= @t145 @t144)))))) % 152.04/152.33 (assume @p81 (forall (@list @t147 @t146) (=> (_ tptp.finite_finite_nat_o @t146) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t147) @t146) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t146)) (_ tptp.finite_card_nat_o @t147)) (= @t147 @t146)))))) % 152.04/152.33 (assume @p82 (forall (@list @t149 @t148) (=> (_ tptp.finite297249702name_o @t148) (=> (_ (_ tptp.ord_le1205211808me_o_o @t149) @t148) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t148)) (_ tptp.finite_card_pname_o @t149)) (= @t149 @t148)))))) % 152.04/152.33 (assume @p83 (forall (@list @t151 @t150) (=> (_ tptp.finite_finite_a_o @t150) (=> (_ (_ tptp.ord_less_eq_a_o_o @t151) @t150) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t150)) (_ tptp.finite_card_a_o @t151)) (= @t151 @t150)))))) % 152.04/152.33 (assume @p84 (forall (@list @t153 @t152) (=> (_ tptp.finite_finite_pname @t152) (=> (_ (_ tptp.ord_less_eq_pname_o @t153) @t152) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t152)) (_ tptp.finite_card_pname @t153)) (= @t153 @t152)))))) % 152.04/152.33 (assume @p85 (forall (@list @t155 @t154) (=> (_ tptp.finite_finite_a @t154) (=> (_ (_ tptp.ord_less_eq_a_o @t155) @t154) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t154)) (_ tptp.finite_card_a @t155)) (= @t155 @t154)))))) % 152.04/152.33 (assume @p86 (forall (@list @t157 @t156) (=> (_ tptp.finite_finite_nat @t156) (=> (_ (_ tptp.ord_less_eq_nat_o @t157) @t156) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t156)) (_ tptp.finite_card_nat @t157)) (= @t157 @t156)))))) % 152.04/152.33 (assume @p87 (forall (@list @t159 @t158) (=> (_ tptp.finite_finite_int @t158) (=> (_ (_ tptp.ord_less_eq_int_o @t159) @t158) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int @t158)) (_ tptp.finite_card_int @t159)) (= @t159 @t158)))))) % 152.04/152.33 (assume @p88 (forall (@list @t161 @t160) (=> (_ tptp.finite_finite_int_o @t160) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int_o @t160)) (_ tptp.finite_card_int_o (_ (_ tptp.insert_int_o @t161) @t160)))))) % 152.04/152.33 (assume @p89 (forall (@list @t163 @t162) (=> (_ tptp.finite_finite_nat_o @t162) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat_o @t162)) (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t163) @t162)))))) % 152.04/152.33 (assume @p90 (forall (@list @t165 @t164) (=> (_ tptp.finite297249702name_o @t164) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname_o @t164)) (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t165) @t164)))))) % 152.04/152.33 (assume @p91 (forall (@list @t167 @t166) (=> (_ tptp.finite_finite_a_o @t166) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a_o @t166)) (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t167) @t166)))))) % 152.04/152.33 (assume @p92 (forall (@list @t169 @t168) (=> (_ tptp.finite_finite_pname @t168) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname @t168)) (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t169) @t168)))))) % 152.04/152.33 (assume @p93 (forall (@list @t171 @t170) (=> (_ tptp.finite_finite_nat @t170) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t170)) (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t171) @t170)))))) % 152.04/152.33 (assume @p94 (forall (@list @t173 @t172) (=> (_ tptp.finite_finite_int @t172) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int @t172)) (_ tptp.finite_card_int (_ (_ tptp.insert_int @t173) @t172)))))) % 152.04/152.33 (assume @p95 (forall (@list @t175 @t174) (=> (_ tptp.finite_finite_a @t174) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a @t174)) (_ tptp.finite_card_a (_ (_ tptp.insert_a @t175) @t174)))))) % 152.04/152.33 (assume @p96 (forall (@list @t178 @t176) (=> (_ tptp.finite_finite_int_o @t176) (and (=> @t180 (= @t179 @t177)) (=> (not @t180) (= @t179 (_ tptp.suc @t177))))))) % 152.04/152.33 (assume @p97 (forall (@list @t183 @t181) (=> (_ tptp.finite_finite_nat_o @t181) (and (=> @t185 (= @t184 @t182)) (=> (not @t185) (= @t184 (_ tptp.suc @t182))))))) % 152.04/152.33 (assume @p98 (forall (@list @t188 @t186) (=> (_ tptp.finite297249702name_o @t186) (and (=> @t190 (= @t189 @t187)) (=> (not @t190) (= @t189 (_ tptp.suc @t187))))))) % 152.04/152.33 (assume @p99 (forall (@list @t193 @t191) (=> (_ tptp.finite_finite_a_o @t191) (and (=> @t195 (= @t194 @t192)) (=> (not @t195) (= @t194 (_ tptp.suc @t192))))))) % 152.04/152.33 (assume @p100 (forall (@list @t198 @t196) (=> (_ tptp.finite_finite_pname @t196) (and (=> @t200 (= @t199 @t197)) (=> (not @t200) (= @t199 (_ tptp.suc @t197))))))) % 152.04/152.33 (assume @p101 (forall (@list @t203 @t201) (=> (_ tptp.finite_finite_nat @t201) (and (=> @t205 (= @t204 @t202)) (=> (not @t205) (= @t204 (_ tptp.suc @t202))))))) % 152.04/152.33 (assume @p102 (forall (@list @t208 @t206) (=> (_ tptp.finite_finite_int @t206) (and (=> @t210 (= @t209 @t207)) (=> (not @t210) (= @t209 (_ tptp.suc @t207))))))) % 152.04/152.33 (assume @p103 (forall (@list @t213 @t211) (=> (_ tptp.finite_finite_a @t211) (and (=> @t215 (= @t214 @t212)) (=> (not @t215) (= @t214 (_ tptp.suc @t212))))))) % 152.04/152.33 (assume @p104 (forall (@list @t217 @t216) (=> (_ tptp.finite_finite_int_o @t216) (=> (not (_ (_ tptp.member_int_o @t217) @t216)) (= (_ tptp.finite_card_int_o (_ (_ tptp.insert_int_o @t217) @t216)) (_ tptp.suc (_ tptp.finite_card_int_o @t216))))))) % 152.04/152.33 (assume @p105 (forall (@list @t219 @t218) (=> (_ tptp.finite_finite_nat_o @t218) (=> (not (_ (_ tptp.member_nat_o @t219) @t218)) (= (_ tptp.finite_card_nat_o (_ (_ tptp.insert_nat_o @t219) @t218)) (_ tptp.suc (_ tptp.finite_card_nat_o @t218))))))) % 152.04/152.33 (assume @p106 (forall (@list @t221 @t220) (=> (_ tptp.finite297249702name_o @t220) (=> (not (_ (_ tptp.member_pname_o @t221) @t220)) (= (_ tptp.finite_card_pname_o (_ (_ tptp.insert_pname_o @t221) @t220)) (_ tptp.suc (_ tptp.finite_card_pname_o @t220))))))) % 152.04/152.33 (assume @p107 (forall (@list @t223 @t222) (=> (_ tptp.finite_finite_a_o @t222) (=> (not (_ (_ tptp.member_a_o @t223) @t222)) (= (_ tptp.finite_card_a_o (_ (_ tptp.insert_a_o @t223) @t222)) (_ tptp.suc (_ tptp.finite_card_a_o @t222))))))) % 152.04/152.33 (assume @p108 (forall (@list @t225 @t224) (=> (_ tptp.finite_finite_pname @t224) (=> (not (_ (_ tptp.member_pname @t225) @t224)) (= (_ tptp.finite_card_pname (_ (_ tptp.insert_pname @t225) @t224)) (_ tptp.suc (_ tptp.finite_card_pname @t224))))))) % 152.04/152.33 (assume @p109 (forall (@list @t227 @t226) (=> (_ tptp.finite_finite_nat @t226) (=> (not (_ (_ tptp.member_nat @t227) @t226)) (= (_ tptp.finite_card_nat (_ (_ tptp.insert_nat @t227) @t226)) (_ tptp.suc (_ tptp.finite_card_nat @t226))))))) % 152.04/152.33 (assume @p110 (forall (@list @t229 @t228) (=> (_ tptp.finite_finite_int @t228) (=> (not (_ (_ tptp.member_int @t229) @t228)) (= (_ tptp.finite_card_int (_ (_ tptp.insert_int @t229) @t228)) (_ tptp.suc (_ tptp.finite_card_int @t228))))))) % 152.04/152.33 (assume @p111 (forall (@list @t231 @t230) (=> (_ tptp.finite_finite_a @t230) (=> (not (_ (_ tptp.member_a @t231) @t230)) (= (_ tptp.finite_card_a (_ (_ tptp.insert_a @t231) @t230)) (_ tptp.suc (_ tptp.finite_card_a @t230))))))) % 152.04/152.33 (assume @p112 (forall (@list @t233 @t234) (=> (or (_ tptp.finite_finite_a (_ tptp.collect_a @t234)) (_ tptp.finite_finite_a (_ tptp.collect_a @t233))) (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t235 (and (_ @t234 @t232) (_ @t233 @t232)))))))) % 152.04/152.33 (assume @p113 (forall (@list @t237 @t238) (=> (or (_ tptp.finite_finite_int_o (_ tptp.collect_int_o @t238)) (_ tptp.finite_finite_int_o (_ tptp.collect_int_o @t237))) (_ tptp.finite_finite_int_o (_ tptp.collect_int_o (lambda @t239 (and (_ @t238 @t236) (_ @t237 @t236)))))))) % 152.04/152.33 (assume @p114 (forall (@list @t241 @t242) (=> (or (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t242)) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t241))) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t243 (and (_ @t242 @t240) (_ @t241 @t240)))))))) % 152.04/152.33 (assume @p115 (forall (@list @t245 @t246) (=> (or (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t246)) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t245))) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t247 (and (_ @t246 @t244) (_ @t245 @t244)))))))) % 152.04/152.33 (assume @p116 (forall (@list @t249 @t250) (=> (or (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t250)) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t249))) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t251 (and (_ @t250 @t248) (_ @t249 @t248)))))))) % 152.04/152.33 (assume @p117 (forall (@list @t253 @t254) (=> (or (_ tptp.finite_finite_pname (_ tptp.collect_pname @t254)) (_ tptp.finite_finite_pname (_ tptp.collect_pname @t253))) (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t255 (and (_ @t254 @t252) (_ @t253 @t252)))))))) % 152.04/152.33 (assume @p118 (forall (@list @t257 @t258) (=> (or (_ tptp.finite_finite_nat (_ tptp.collect_nat @t258)) (_ tptp.finite_finite_nat (_ tptp.collect_nat @t257))) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t259 (and (_ @t258 @t256) (_ @t257 @t256)))))))) % 152.04/152.33 (assume @p119 (forall (@list @t261 @t262) (=> (or (_ tptp.finite_finite_int (_ tptp.collect_int @t262)) (_ tptp.finite_finite_int (_ tptp.collect_int @t261))) (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t263 (and (_ @t262 @t260) (_ @t261 @t260)))))))) % 152.04/152.33 (assume @p120 (forall @t273 (=> @t272 (= @t270 (_ tptp.suc @t267))))) % 152.04/152.33 (assume @p121 (forall @t278 (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t277 (_ @t276 @t274)))))) % 152.04/152.33 (assume @p122 (forall @t284 (= (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda @t283 @t282))) @t279))) % 152.04/152.33 (assume @p123 (forall @t288 (=> (= (_ tptp.suc @t286) (_ tptp.suc @t285)) @t287))) % 152.04/152.33 (assume @p124 (forall (@list @t290 @t289) (= (= (_ tptp.suc @t290) @t291) (= @t290 @t289)))) % 152.04/152.33 (assume @p125 (forall @t284 (not (= @t279 @t264)))) % 152.04/152.33 (assume @p126 (forall @t284 (not (= @t264 @t279)))) % 152.04/152.33 (assume @p127 (forall @t295 (=> @t294 (=> @t272 @t292)))) % 152.04/152.33 (assume @p128 (forall @t301 (=> @t300 (=> (_ @t299 @t274) (_ @t297 @t274))))) % 152.04/152.33 (assume @p129 (forall @t295 (=> @t292 @t294))) % 152.04/152.33 (assume @p130 (forall @t295 (or @t294 @t272))) % 152.04/152.33 (assume @p131 (forall @t284 (_ @t271 @t264))) % 152.04/152.33 (assume @p132 (forall @t305 (= @t304 (_ (_ tptp.minus_minus_nat (_ @t302 @t274)) @t298)))) % 152.04/152.33 (assume @p133 (forall (@list @t307 @t306) (= (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t235 (or (_ @t307 @t232) (_ @t306 @t232))))) (and (_ tptp.finite_finite_a (_ tptp.collect_a @t307)) (_ tptp.finite_finite_a (_ tptp.collect_a @t306)))))) % 152.04/152.33 (assume @p134 (forall (@list @t309 @t308) (= (_ tptp.finite_finite_int_o (_ tptp.collect_int_o (lambda @t239 (or (_ @t309 @t236) (_ @t308 @t236))))) (and (_ tptp.finite_finite_int_o (_ tptp.collect_int_o @t309)) (_ tptp.finite_finite_int_o (_ tptp.collect_int_o @t308)))))) % 152.04/152.33 (assume @p135 (forall (@list @t311 @t310) (= (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o (lambda @t243 (or (_ @t311 @t240) (_ @t310 @t240))))) (and (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t311)) (_ tptp.finite_finite_nat_o (_ tptp.collect_nat_o @t310)))))) % 152.04/152.33 (assume @p136 (forall (@list @t313 @t312) (= (_ tptp.finite297249702name_o (_ tptp.collect_pname_o (lambda @t247 (or (_ @t313 @t244) (_ @t312 @t244))))) (and (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t313)) (_ tptp.finite297249702name_o (_ tptp.collect_pname_o @t312)))))) % 152.04/152.33 (assume @p137 (forall (@list @t315 @t314) (= (_ tptp.finite_finite_a_o (_ tptp.collect_a_o (lambda @t251 (or (_ @t315 @t248) (_ @t314 @t248))))) (and (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t315)) (_ tptp.finite_finite_a_o (_ tptp.collect_a_o @t314)))))) % 152.04/152.33 (assume @p138 (forall (@list @t317 @t316) (= (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda @t255 (or (_ @t317 @t252) (_ @t316 @t252))))) (and (_ tptp.finite_finite_pname (_ tptp.collect_pname @t317)) (_ tptp.finite_finite_pname (_ tptp.collect_pname @t316)))))) % 152.04/152.33 (assume @p139 (forall (@list @t319 @t318) (= (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t259 (or (_ @t319 @t256) (_ @t318 @t256))))) (and (_ tptp.finite_finite_nat (_ tptp.collect_nat @t319)) (_ tptp.finite_finite_nat (_ tptp.collect_nat @t318)))))) % 152.04/152.33 (assume @p140 (forall (@list @t321 @t320) (= (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t263 (or (_ @t321 @t260) (_ @t320 @t260))))) (and (_ tptp.finite_finite_int (_ tptp.collect_int @t321)) (_ tptp.finite_finite_int (_ tptp.collect_int @t320)))))) % 152.04/152.33 (assume @p141 (forall (@list @t323 @t322) (= (_ tptp.finite_finite_int_o (_ (_ tptp.insert_int_o @t323) @t322)) (_ tptp.finite_finite_int_o @t322)))) % 152.04/152.33 (assume @p142 (forall (@list @t325 @t324) (= (_ tptp.finite_finite_nat_o (_ (_ tptp.insert_nat_o @t325) @t324)) (_ tptp.finite_finite_nat_o @t324)))) % 152.04/152.33 (assume @p143 (forall (@list @t327 @t326) (= (_ tptp.finite297249702name_o (_ (_ tptp.insert_pname_o @t327) @t326)) (_ tptp.finite297249702name_o @t326)))) % 152.04/152.33 (assume @p144 (forall (@list @t329 @t328) (= (_ tptp.finite_finite_a_o (_ (_ tptp.insert_a_o @t329) @t328)) (_ tptp.finite_finite_a_o @t328)))) % 152.04/152.33 (assume @p145 (forall (@list @t331 @t330) (= (_ tptp.finite_finite_pname (_ (_ tptp.insert_pname @t331) @t330)) (_ tptp.finite_finite_pname @t330)))) % 152.04/152.33 (assume @p146 (forall (@list @t333 @t332) (= (_ tptp.finite_finite_nat (_ (_ tptp.insert_nat @t333) @t332)) (_ tptp.finite_finite_nat @t332)))) % 152.04/152.33 (assume @p147 (forall (@list @t335 @t334) (= (_ tptp.finite_finite_int (_ (_ tptp.insert_int @t335) @t334)) (_ tptp.finite_finite_int @t334)))) % 152.04/152.33 (assume @p148 (forall (@list @t337 @t336) (= (_ tptp.finite_finite_a (_ (_ tptp.insert_a @t337) @t336)) (_ tptp.finite_finite_a @t336)))) % 152.04/152.33 (assume @p149 (forall (@list @t338 @t339) (=> (_ (_ tptp.ord_less_eq_int_o_o @t338) @t339) (=> (_ tptp.finite_finite_int_o @t339) (_ tptp.finite_finite_int_o @t338))))) % 152.04/152.33 (assume @p150 (forall (@list @t340 @t341) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t340) @t341) (=> (_ tptp.finite_finite_nat_o @t341) (_ tptp.finite_finite_nat_o @t340))))) % 152.04/152.33 (assume @p151 (forall (@list @t342 @t343) (=> (_ (_ tptp.ord_le1205211808me_o_o @t342) @t343) (=> (_ tptp.finite297249702name_o @t343) (_ tptp.finite297249702name_o @t342))))) % 152.04/152.33 (assume @p152 (forall (@list @t344 @t345) (=> (_ (_ tptp.ord_less_eq_a_o_o @t344) @t345) (=> (_ tptp.finite_finite_a_o @t345) (_ tptp.finite_finite_a_o @t344))))) % 152.04/152.33 (assume @p153 (forall (@list @t346 @t347) (=> (_ (_ tptp.ord_less_eq_a_o @t346) @t347) (=> (_ tptp.finite_finite_a @t347) (_ tptp.finite_finite_a @t346))))) % 152.04/152.33 (assume @p154 (forall (@list @t348 @t349) (=> (_ (_ tptp.ord_less_eq_pname_o @t348) @t349) (=> (_ tptp.finite_finite_pname @t349) (_ tptp.finite_finite_pname @t348))))) % 152.04/152.33 (assume @p155 (forall (@list @t350 @t351) (=> (_ (_ tptp.ord_less_eq_nat_o @t350) @t351) (=> (_ tptp.finite_finite_nat @t351) (_ tptp.finite_finite_nat @t350))))) % 152.04/152.33 (assume @p156 (forall (@list @t352 @t353) (=> (_ (_ tptp.ord_less_eq_int_o @t352) @t353) (=> (_ tptp.finite_finite_int @t353) (_ tptp.finite_finite_int @t352))))) % 152.04/152.33 (assume @p157 (forall (@list @t354 @t355) (=> (_ tptp.finite_finite_int_o @t355) (=> (_ (_ tptp.ord_less_eq_int_o_o @t354) @t355) (_ tptp.finite_finite_int_o @t354))))) % 152.04/152.33 (assume @p158 (forall (@list @t356 @t357) (=> (_ tptp.finite_finite_nat_o @t357) (=> (_ (_ tptp.ord_less_eq_nat_o_o @t356) @t357) (_ tptp.finite_finite_nat_o @t356))))) % 152.04/152.33 (assume @p159 (forall (@list @t358 @t359) (=> (_ tptp.finite297249702name_o @t359) (=> (_ (_ tptp.ord_le1205211808me_o_o @t358) @t359) (_ tptp.finite297249702name_o @t358))))) % 152.04/152.33 (assume @p160 (forall (@list @t360 @t361) (=> (_ tptp.finite_finite_a_o @t361) (=> (_ (_ tptp.ord_less_eq_a_o_o @t360) @t361) (_ tptp.finite_finite_a_o @t360))))) % 152.04/152.33 (assume @p161 (forall (@list @t362 @t363) (=> (_ tptp.finite_finite_a @t363) (=> (_ (_ tptp.ord_less_eq_a_o @t362) @t363) (_ tptp.finite_finite_a @t362))))) % 152.04/152.33 (assume @p162 (forall (@list @t364 @t365) (=> (_ tptp.finite_finite_pname @t365) (=> (_ (_ tptp.ord_less_eq_pname_o @t364) @t365) (_ tptp.finite_finite_pname @t364))))) % 152.04/152.33 (assume @p163 (forall (@list @t366 @t367) (=> (_ tptp.finite_finite_nat @t367) (=> (_ (_ tptp.ord_less_eq_nat_o @t366) @t367) (_ tptp.finite_finite_nat @t366))))) % 152.04/152.33 (assume @p164 (forall (@list @t368 @t369) (=> (_ tptp.finite_finite_int @t369) (=> (_ (_ tptp.ord_less_eq_int_o @t368) @t369) (_ tptp.finite_finite_int @t368))))) % 152.04/152.33 (assume @p165 (forall @t295 (=> @t370 @t294))) % 152.04/152.33 (assume @p166 (forall @t295 (=> @t373 (=> @t372 @t371)))) % 152.04/152.33 (assume @p167 (forall @t295 (=> @t294 @t373))) % 152.04/152.33 (assume @p168 (forall @t273 (= (_ @t374 @t268) @t272))) % 152.04/152.33 (assume @p169 (forall @t295 (= @t373 (or @t294 @t371)))) % 152.04/152.33 (assume @p170 (forall @t295 (= @t372 @t375))) % 152.04/152.33 (assume @p171 (forall @t284 (not (_ @t374 @t264)))) % 152.04/152.33 (assume @p172 (forall @t377 (= (_ (_ tptp.minus_minus_nat @t270) @t376) (_ (_ tptp.minus_minus_nat @t267) @t274)))) % 152.04/152.33 (assume @p173 (forall @t295 (= (_ @t269 @t279) @t267))) % 152.04/152.33 (assume @p174 (forall @t384 (=> @t383 (=> @t382 (= (_ (_ tptp.ord_less_eq_nat @t380) @t379) @t294))))) % 152.04/152.33 (assume @p175 (forall @t384 (=> @t383 (=> @t382 (= (_ (_ tptp.minus_minus_nat @t380) @t379) @t267))))) % 152.04/152.33 (assume @p176 (forall @t384 (=> @t383 (=> @t382 (= (= @t380 @t379) @t292))))) % 152.04/152.33 (assume @p177 (forall @t385 (=> (_ @t297 @t264) (= (_ @t378 (_ @t378 @t296)) @t296)))) % 152.04/152.33 (assume @p178 (forall @t387 (=> @t294 (_ (_ tptp.ord_less_eq_nat (_ @t266 @t386)) (_ @t378 @t386))))) % 152.04/152.33 (assume @p179 (forall @t387 (=> @t294 (_ (_ tptp.ord_less_eq_nat @t390) @t389)))) % 152.04/152.33 (assume @p180 (forall @t295 (_ (_ tptp.ord_less_eq_nat @t267) @t265))) % 152.04/152.33 (assume @p181 (forall (@list @t391 @t394 @t393) (=> @t396 (=> (_ @t395 (_ (_ tptp.image_a_a @t394) @t393)) @t392)))) % 152.04/152.33 (assume @p182 (forall (@list @t391 @t398 @t397) (=> @t399 (=> (_ @t395 (_ (_ tptp.image_int_o_a @t398) @t397)) @t392)))) % 152.04/152.33 (assume @p183 (forall (@list @t391 @t401 @t400) (=> @t402 (=> (_ @t395 (_ (_ tptp.image_nat_o_a @t401) @t400)) @t392)))) % 152.04/152.33 (assume @p184 (forall (@list @t391 @t404 @t403) (=> @t405 (=> (_ @t395 (_ (_ tptp.image_pname_o_a @t404) @t403)) @t392)))) % 152.04/152.33 (assume @p185 (forall (@list @t391 @t407 @t406) (=> @t408 (=> (_ @t395 (_ (_ tptp.image_a_o_a @t407) @t406)) @t392)))) % 152.04/152.33 (assume @p186 (forall (@list @t409 @t412 @t411) (=> @t414 (=> (_ @t413 (_ (_ tptp.image_pname_int_o @t412) @t411)) @t410)))) % 152.04/152.33 (assume @p187 (forall (@list @t415 @t417 @t411) (=> @t414 (=> (_ @t418 (_ (_ tptp.image_pname_nat_o @t417) @t411)) @t416)))) % 152.04/152.33 (assume @p188 (forall (@list @t419 @t421 @t411) (=> @t414 (=> (_ @t422 (_ (_ tptp.image_pname_pname_o @t421) @t411)) @t420)))) % 152.04/152.33 (assume @p189 (forall (@list @t423 @t425 @t411) (=> @t414 (=> (_ @t426 (_ (_ tptp.image_pname_a_o @t425) @t411)) @t424)))) % 152.04/152.33 (assume @p190 (forall (@list @t427 @t429 @t411) (=> @t414 (=> (_ @t430 (_ (_ tptp.image_pname_pname @t429) @t411)) @t428)))) % 152.04/152.33 (assume @p191 (forall (@list @t391 @t432 @t431) (=> @t433 (=> (_ @t395 (_ (_ tptp.image_nat_a @t432) @t431)) @t392)))) % 152.04/152.33 (assume @p192 (forall (@list @t409 @t434 @t431) (=> @t433 (=> (_ @t413 (_ (_ tptp.image_nat_int_o @t434) @t431)) @t410)))) % 152.04/152.33 (assume @p193 (forall (@list @t415 @t435 @t431) (=> @t433 (=> (_ @t418 (_ (_ tptp.image_nat_nat_o @t435) @t431)) @t416)))) % 152.04/152.33 (assume @p194 (forall (@list @t419 @t436 @t431) (=> @t433 (=> (_ @t422 (_ (_ tptp.image_nat_pname_o @t436) @t431)) @t420)))) % 152.04/152.33 (assume @p195 (forall (@list @t423 @t437 @t431) (=> @t433 (=> (_ @t426 (_ (_ tptp.image_nat_a_o @t437) @t431)) @t424)))) % 152.04/152.33 (assume @p196 (forall (@list @t427 @t438 @t431) (=> @t433 (=> (_ @t430 (_ (_ tptp.image_nat_pname @t438) @t431)) @t428)))) % 152.04/152.33 (assume @p197 (forall (@list @t391 @t440 @t439) (=> @t441 (=> (_ @t395 (_ (_ tptp.image_int_a @t440) @t439)) @t392)))) % 152.04/152.33 (assume @p198 (forall (@list @t409 @t442 @t439) (=> @t441 (=> (_ @t413 (_ (_ tptp.image_int_int_o @t442) @t439)) @t410)))) % 152.04/152.33 (assume @p199 (forall (@list @t415 @t443 @t439) (=> @t441 (=> (_ @t418 (_ (_ tptp.image_int_nat_o @t443) @t439)) @t416)))) % 152.04/152.33 (assume @p200 (forall (@list @t419 @t444 @t439) (=> @t441 (=> (_ @t422 (_ (_ tptp.image_int_pname_o @t444) @t439)) @t420)))) % 152.04/152.33 (assume @p201 (forall (@list @t423 @t445 @t439) (=> @t441 (=> (_ @t426 (_ (_ tptp.image_int_a_o @t445) @t439)) @t424)))) % 152.04/152.33 (assume @p202 (forall (@list @t427 @t446 @t439) (=> @t441 (=> (_ @t430 (_ (_ tptp.image_int_pname @t446) @t439)) @t428)))) % 152.04/152.33 (assume @p203 (forall (@list @t427 @t447 @t393) (=> @t396 (=> (_ @t430 (_ (_ tptp.image_a_pname @t447) @t393)) @t428)))) % 152.04/152.33 (assume @p204 (forall (@list @t427 @t448 @t397) (=> @t399 (=> (_ @t430 (_ (_ tptp.image_int_o_pname @t448) @t397)) @t428)))) % 152.04/152.33 (assume @p205 (forall (@list @t427 @t449 @t400) (=> @t402 (=> (_ @t430 (_ (_ tptp.image_nat_o_pname @t449) @t400)) @t428)))) % 152.04/152.33 (assume @p206 (forall (@list @t427 @t450 @t403) (=> @t405 (=> (_ @t430 (_ (_ tptp.image_pname_o_pname @t450) @t403)) @t428)))) % 152.04/152.33 (assume @p207 (forall (@list @t427 @t451 @t406) (=> @t408 (=> (_ @t430 (_ (_ tptp.image_a_o_pname @t451) @t406)) @t428)))) % 152.04/152.33 (assume @p208 (forall (@list @t452 @t454 @t393) (=> @t396 (=> (_ @t455 (_ (_ tptp.image_a_nat @t454) @t393)) @t453)))) % 152.04/152.33 (assume @p209 (forall (@list @t452 @t456 @t397) (=> @t399 (=> (_ @t455 (_ (_ tptp.image_int_o_nat @t456) @t397)) @t453)))) % 152.04/152.33 (assume @p210 (forall (@list @t452 @t457 @t400) (=> @t402 (=> (_ @t455 (_ (_ tptp.image_nat_o_nat @t457) @t400)) @t453)))) % 152.04/152.33 (assume @p211 (forall (@list @t452 @t458 @t403) (=> @t405 (=> (_ @t455 (_ (_ tptp.image_pname_o_nat @t458) @t403)) @t453)))) % 152.04/152.33 (assume @p212 (forall (@list @t452 @t459 @t406) (=> @t408 (=> (_ @t455 (_ (_ tptp.image_a_o_nat @t459) @t406)) @t453)))) % 152.04/152.33 (assume @p213 (forall (@list @t460 @t462 @t393) (=> @t396 (=> (_ @t463 (_ (_ tptp.image_a_int @t462) @t393)) @t461)))) % 152.04/152.33 (assume @p214 (forall (@list @t460 @t464 @t397) (=> @t399 (=> (_ @t463 (_ (_ tptp.image_int_o_int @t464) @t397)) @t461)))) % 152.04/152.33 (assume @p215 (forall (@list @t460 @t465 @t400) (=> @t402 (=> (_ @t463 (_ (_ tptp.image_nat_o_int @t465) @t400)) @t461)))) % 152.04/152.33 (assume @p216 (forall (@list @t460 @t466 @t403) (=> @t405 (=> (_ @t463 (_ (_ tptp.image_pname_o_int @t466) @t403)) @t461)))) % 152.04/152.33 (assume @p217 (forall (@list @t460 @t467 @t406) (=> @t408 (=> (_ @t463 (_ (_ tptp.image_a_o_int @t467) @t406)) @t461)))) % 152.04/152.33 (assume @p218 (forall (@list @t391 @t468 @t411) (=> @t414 (=> (_ @t395 (_ (_ tptp.image_pname_a @t468) @t411)) @t392)))) % 152.04/152.33 (assume @p219 (forall (@list @t460 @t469 @t431) (=> @t433 (=> (_ @t463 (_ (_ tptp.image_nat_int @t469) @t431)) @t461)))) % 152.04/152.33 (assume @p220 (forall (@list @t471 @t475 @t473) (=> @t479 (=> (_ @t478 (_ @t472 @t475)) (exists @t477 (and @t476 @t474 (= @t473 (_ @t472 @t470)))))))) % 152.04/152.33 (assume @p221 (forall (@list @t481 @t484 @t473) (=> @t479 (=> (_ @t478 (_ @t482 @t484)) (exists @t486 (and @t485 @t483 (= @t473 (_ @t482 @t480)))))))) % 152.04/152.33 (assume @p222 (forall (@list @t488 @t491 @t473) (=> @t479 (=> (_ @t478 (_ @t489 @t491)) (exists @t493 (and @t492 @t490 (= @t473 (_ @t489 @t487)))))))) % 152.04/152.33 (assume @p223 (forall (@list @t495 @t498 @t473) (=> @t479 (=> (_ @t478 (_ @t496 @t498)) (exists @t500 (and @t499 @t497 (= @t473 (_ @t496 @t494)))))))) % 152.04/152.33 (assume @p224 (forall (@list @t502 @t505 @t473) (=> @t479 (=> (_ @t478 (_ @t503 @t505)) (exists @t507 (and @t506 @t504 (= @t473 (_ @t503 @t501)))))))) % 152.04/152.33 (assume @p225 (forall (@list @t508 @t505 @t510) (=> @t512 (=> (_ @t511 (_ @t509 @t505)) (exists @t507 (and @t506 @t504 (= @t510 (_ @t509 @t501)))))))) % 152.04/152.33 (assume @p226 (forall (@list @t513 @t505 @t515) (=> @t517 (=> (_ @t516 (_ @t514 @t505)) (exists @t507 (and @t506 @t504 (= @t515 (_ @t514 @t501)))))))) % 152.04/152.33 (assume @p227 (forall (@list @t518 @t505 @t520) (=> @t522 (=> (_ @t521 (_ @t519 @t505)) (exists @t507 (and @t506 @t504 (= @t520 (_ @t519 @t501)))))))) % 152.04/152.33 (assume @p228 (forall (@list @t523 @t505 @t525) (=> @t527 (=> (_ @t526 (_ @t524 @t505)) (exists @t507 (and @t506 @t504 (= @t525 (_ @t524 @t501)))))))) % 152.04/152.33 (assume @p229 (forall (@list @t528 @t505 @t530) (=> @t532 (=> (_ @t531 (_ @t529 @t505)) (exists @t507 (and @t506 @t504 (= @t530 (_ @t529 @t501)))))))) % 152.04/152.33 (assume @p230 (forall (@list @t533 @t475 @t530) (=> @t532 (=> (_ @t531 (_ @t534 @t475)) (exists @t477 (and @t476 @t474 (= @t530 (_ @t534 @t470)))))))) % 152.04/152.33 (assume @p231 (forall (@list @t535 @t484 @t530) (=> @t532 (=> (_ @t531 (_ @t536 @t484)) (exists @t486 (and @t485 @t483 (= @t530 (_ @t536 @t480)))))))) % 152.04/152.33 (assume @p232 (forall (@list @t537 @t491 @t530) (=> @t532 (=> (_ @t531 (_ @t538 @t491)) (exists @t493 (and @t492 @t490 (= @t530 (_ @t538 @t487)))))))) % 152.04/152.33 (assume @p233 (forall (@list @t539 @t498 @t530) (=> @t532 (=> (_ @t531 (_ @t540 @t498)) (exists @t500 (and @t499 @t497 (= @t530 (_ @t540 @t494)))))))) % 152.04/152.33 (assume @p234 (forall (@list @t541 @t505 @t543) (=> @t545 (=> (_ @t544 (_ @t542 @t505)) (exists @t507 (and @t506 @t504 (= @t543 (_ @t542 @t501)))))))) % 152.04/152.33 (assume @p235 (forall (@list @t546 @t475 @t543) (=> @t545 (=> (_ @t544 (_ @t547 @t475)) (exists @t477 (and @t476 @t474 (= @t543 (_ @t547 @t470)))))))) % 152.04/152.33 (assume @p236 (forall (@list @t548 @t484 @t543) (=> @t545 (=> (_ @t544 (_ @t549 @t484)) (exists @t486 (and @t485 @t483 (= @t543 (_ @t549 @t480)))))))) % 152.04/152.33 (assume @p237 (forall (@list @t550 @t491 @t543) (=> @t545 (=> (_ @t544 (_ @t551 @t491)) (exists @t493 (and @t492 @t490 (= @t543 (_ @t551 @t487)))))))) % 152.04/152.33 (assume @p238 (forall (@list @t552 @t498 @t543) (=> @t545 (=> (_ @t544 (_ @t553 @t498)) (exists @t500 (and @t499 @t497 (= @t543 (_ @t553 @t494)))))))) % 152.04/152.33 (assume @p239 (forall (@list @t555 @t558 @t543) (=> @t545 (=> (_ @t544 (_ @t556 @t558)) (exists @t560 (and @t559 @t557 (= @t543 (_ @t556 @t554)))))))) % 152.04/152.33 (assume @p240 (forall (@list @t561 @t505 @t563) (=> @t565 (=> (_ @t564 (_ @t562 @t505)) (exists @t507 (and @t506 @t504 (= @t563 (_ @t562 @t501)))))))) % 152.04/152.33 (assume @p241 (forall (@list @t566 @t475 @t563) (=> @t565 (=> (_ @t564 (_ @t567 @t475)) (exists @t477 (and @t476 @t474 (= @t563 (_ @t567 @t470)))))))) % 152.04/152.33 (assume @p242 (forall (@list @t568 @t484 @t563) (=> @t565 (=> (_ @t564 (_ @t569 @t484)) (exists @t486 (and @t485 @t483 (= @t563 (_ @t569 @t480)))))))) % 152.04/152.33 (assume @p243 (forall (@list @t570 @t491 @t563) (=> @t565 (=> (_ @t564 (_ @t571 @t491)) (exists @t493 (and @t492 @t490 (= @t563 (_ @t571 @t487)))))))) % 152.04/152.33 (assume @p244 (forall (@list @t572 @t498 @t563) (=> @t565 (=> (_ @t564 (_ @t573 @t498)) (exists @t500 (and @t499 @t497 (= @t563 (_ @t573 @t494)))))))) % 152.04/152.33 (assume @p245 (forall (@list @t574 @t558 @t563) (=> @t565 (=> (_ @t564 (_ @t575 @t558)) (exists @t560 (and @t559 @t557 (= @t563 (_ @t575 @t554)))))))) % 152.04/152.33 (assume @p246 (forall (@list @t576 @t558 @t510) (=> @t512 (=> (_ @t511 (_ @t577 @t558)) (exists @t560 (and @t559 @t557 (= @t510 (_ @t577 @t554)))))))) % 152.04/152.33 (assume @p247 (forall (@list @t578 @t558 @t515) (=> @t517 (=> (_ @t516 (_ @t579 @t558)) (exists @t560 (and @t559 @t557 (= @t515 (_ @t579 @t554)))))))) % 152.04/152.33 (assume @p248 (forall (@list @t580 @t558 @t520) (=> @t522 (=> (_ @t521 (_ @t581 @t558)) (exists @t560 (and @t559 @t557 (= @t520 (_ @t581 @t554)))))))) % 152.04/152.33 (assume @p249 (forall (@list @t582 @t558 @t525) (=> @t527 (=> (_ @t526 (_ @t583 @t558)) (exists @t560 (and @t559 @t557 (= @t525 (_ @t583 @t554)))))))) % 152.04/152.33 (assume @p250 (forall (@list @t584 @t558 @t530) (=> @t532 (=> (_ @t531 (_ @t585 @t558)) (exists @t560 (and @t559 @t557 (= @t530 (_ @t585 @t554)))))))) % 152.04/152.33 (assume @p251 (forall (@list @t587 @t590 @t473) (=> @t479 (=> (_ @t478 (_ @t588 @t590)) (exists @t592 (and @t591 @t589 (= @t473 (_ @t588 @t586)))))))) % 152.04/152.33 (assume @p252 (forall (@list @t593 @t590 @t510) (=> @t512 (=> (_ @t511 (_ @t594 @t590)) (exists @t592 (and @t591 @t589 (= @t510 (_ @t594 @t586)))))))) % 152.04/152.33 (assume @p253 (forall (@list @t595 @t590 @t515) (=> @t517 (=> (_ @t516 (_ @t596 @t590)) (exists @t592 (and @t591 @t589 (= @t515 (_ @t596 @t586)))))))) % 152.04/152.33 (assume @p254 (forall (@list @t597 @t590 @t520) (=> @t522 (=> (_ @t521 (_ @t598 @t590)) (exists @t592 (and @t591 @t589 (= @t520 (_ @t598 @t586)))))))) % 152.04/152.33 (assume @p255 (forall (@list @t599 @t590 @t525) (=> @t527 (=> (_ @t526 (_ @t600 @t590)) (exists @t592 (and @t591 @t589 (= @t525 (_ @t600 @t586)))))))) % 152.04/152.33 (assume @p256 (forall (@list @t601 @t590 @t530) (=> @t532 (=> (_ @t531 (_ @t602 @t590)) (exists @t592 (and @t591 @t589 (= @t530 (_ @t602 @t586)))))))) % 152.04/152.33 (assume @p257 (forall (@list @t604 @t607 @t473) (=> @t479 (=> (_ @t478 (_ @t605 @t607)) (exists @t609 (and @t608 @t606 (= @t473 (_ @t605 @t603)))))))) % 152.04/152.33 (assume @p258 (forall (@list @t610 @t607 @t510) (=> @t512 (=> (_ @t511 (_ @t611 @t607)) (exists @t609 (and @t608 @t606 (= @t510 (_ @t611 @t603)))))))) % 152.04/152.33 (assume @p259 (forall (@list @t612 @t607 @t515) (=> @t517 (=> (_ @t516 (_ @t613 @t607)) (exists @t609 (and @t608 @t606 (= @t515 (_ @t613 @t603)))))))) % 152.04/152.33 (assume @p260 (forall (@list @t614 @t607 @t520) (=> @t522 (=> (_ @t521 (_ @t615 @t607)) (exists @t609 (and @t608 @t606 (= @t520 (_ @t615 @t603)))))))) % 152.04/152.33 (assume @p261 (forall (@list @t616 @t607 @t525) (=> @t527 (=> (_ @t526 (_ @t617 @t607)) (exists @t609 (and @t608 @t606 (= @t525 (_ @t617 @t603)))))))) % 152.04/152.33 (assume @p262 (forall (@list @t618 @t607 @t530) (=> @t532 (=> (_ @t531 (_ @t619 @t607)) (exists @t609 (and @t608 @t606 (= @t530 (_ @t619 @t603)))))))) % 152.04/152.33 (assume @p263 (forall (@list @t620 @t558 @t473) (=> @t479 (=> (_ @t478 (_ @t621 @t558)) (exists @t560 (and @t559 @t557 (= @t473 (_ @t621 @t554)))))))) % 152.04/152.33 (assume @p264 (forall (@list @t622 @t590 @t563) (=> @t565 (=> (_ @t564 (_ @t623 @t590)) (exists @t592 (and @t591 @t589 (= @t563 (_ @t623 @t586)))))))) % 152.04/152.33 (assume @p265 (forall (@list @t626 @t624 @t625) (=> (forall @t277 (_ (_ tptp.ord_less_eq_pname_o (_ @t625 @t275)) (_ @t625 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_pname_o (_ @t625 @t626)) (_ @t625 @t624)))))) % 152.04/152.33 (assume @p266 (forall (@list @t626 @t624 @t629) (=> (forall @t277 (_ (_ tptp.ord_less_eq_o (_ @t629 @t275)) (_ @t629 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_o (_ @t629 @t626)) (_ @t629 @t624)))))) % 152.04/152.33 (assume @p267 (forall (@list @t626 @t624 @t630) (=> (forall @t277 (_ (_ tptp.ord_less_eq_a_o (_ @t630 @t275)) (_ @t630 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_a_o (_ @t630 @t626)) (_ @t630 @t624)))))) % 152.04/152.33 (assume @p268 (forall (@list @t626 @t624 @t631) (=> (forall @t277 (_ (_ tptp.ord_less_eq_nat (_ @t631 @t275)) (_ @t631 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_nat (_ @t631 @t626)) (_ @t631 @t624)))))) % 152.04/152.33 (assume @p269 (forall (@list @t626 @t624 @t632) (=> (forall @t277 (_ (_ tptp.ord_less_eq_int (_ @t632 @t275)) (_ @t632 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_int (_ @t632 @t626)) (_ @t632 @t624)))))) % 152.04/152.33 (assume @p270 (forall (@list @t626 @t624 @t633) (=> (forall @t277 (_ (_ tptp.ord_less_eq_nat_o (_ @t633 @t275)) (_ @t633 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_nat_o (_ @t633 @t626)) (_ @t633 @t624)))))) % 152.04/152.33 (assume @p271 (forall (@list @t626 @t624 @t634) (=> (forall @t277 (_ (_ tptp.ord_less_eq_int_o (_ @t634 @t275)) (_ @t634 @t628))) (=> @t627 (_ (_ tptp.ord_less_eq_int_o (_ @t634 @t626)) (_ @t634 @t624)))))) % 152.04/152.33 (assume @p272 (forall (@list @t635 @t637) (=> @t643 (=> (_ tptp.finite_finite_int_o (_ (_ tptp.image_nat_int_o @t635) @t637)) (exists @t259 (and @t642 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t640 (and @t639 (= (_ @t635 @t636) (_ @t635 @t256))))))))))))) % 152.04/152.33 (assume @p273 (forall (@list @t644 @t637) (=> @t643 (=> (_ tptp.finite_finite_nat_o (_ (_ tptp.image_nat_nat_o @t644) @t637)) (exists @t259 (and @t642 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t640 (and @t639 (= (_ @t644 @t636) (_ @t644 @t256))))))))))))) % 152.04/152.33 (assume @p274 (forall (@list @t645 @t637) (=> @t643 (=> (_ tptp.finite297249702name_o (_ (_ tptp.image_nat_pname_o @t645) @t637)) (exists @t259 (and @t642 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t640 (and @t639 (= (_ @t645 @t636) (_ @t645 @t256))))))))))))) % 152.04/152.33 (assume @p275 (forall (@list @t646 @t637) (=> @t643 (=> (_ tptp.finite_finite_a_o (_ (_ tptp.image_nat_a_o @t646) @t637)) (exists @t259 (and @t642 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t640 (and @t639 (= (_ @t646 @t636) (_ @t646 @t256))))))))))))) % 152.04/152.33 (assume @p276 (forall (@list @t647 @t649) (=> @t655 (=> (_ tptp.finite_finite_a (_ (_ tptp.image_int_a @t647) @t649)) (exists @t263 (and @t654 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t652 (and @t651 (= (_ @t647 @t648) (_ @t647 @t260))))))))))))) % 152.04/152.33 (assume @p277 (forall (@list @t656 @t649) (=> @t655 (=> (_ tptp.finite_finite_int_o (_ (_ tptp.image_int_int_o @t656) @t649)) (exists @t263 (and @t654 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t652 (and @t651 (= (_ @t656 @t648) (_ @t656 @t260))))))))))))) % 152.04/152.33 (assume @p278 (forall (@list @t657 @t649) (=> @t655 (=> (_ tptp.finite_finite_nat_o (_ (_ tptp.image_int_nat_o @t657) @t649)) (exists @t263 (and @t654 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t652 (and @t651 (= (_ @t657 @t648) (_ @t657 @t260))))))))))))) % 152.04/152.33 (assume @p279 (forall (@list @t658 @t649) (=> @t655 (=> (_ tptp.finite297249702name_o (_ (_ tptp.image_int_pname_o @t658) @t649)) (exists @t263 (and @t654 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t652 (and @t651 (= (_ @t658 @t648) (_ @t658 @t260))))))))))))) % 152.04/152.33 (assume @p280 (forall (@list @t659 @t649) (=> @t655 (=> (_ tptp.finite_finite_a_o (_ (_ tptp.image_int_a_o @t659) @t649)) (exists @t263 (and @t654 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t652 (and @t651 (= (_ @t659 @t648) (_ @t659 @t260))))))))))))) % 152.04/152.33 (assume @p281 (forall (@list @t660 @t662) (=> (not (_ tptp.finite_finite_pname @t662)) (=> (_ tptp.finite_finite_a (_ (_ tptp.image_pname_a @t660) @t662)) (exists @t255 (and (_ @t664 @t662) (not (_ tptp.finite_finite_pname (_ tptp.collect_pname (lambda (@list @t661) (and (_ @t663 @t662) (= (_ @t660 @t661) (_ @t660 @t252))))))))))))) % 152.04/152.33 (assume @p282 (forall (@list @t665 @t637) (=> @t643 (=> (_ tptp.finite_finite_int (_ (_ tptp.image_nat_int @t665) @t637)) (exists @t259 (and @t642 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t640 (and @t639 (= (_ @t665 @t636) (_ @t665 @t256))))))))))))) % 152.04/152.33 (assume @p283 (forall (@list @t666 @t668 @t667 @t669) (=> (= @t668 (_ @t667 @t669)) (=> (_ (_ tptp.member_nat @t669) @t666) (_ (_ tptp.member_int @t668) (_ (_ tptp.image_nat_int @t667) @t666)))))) % 152.04/152.33 (assume @p284 @t681) % 152.04/152.33 (assume @p285 (forall (@list @t683 @t682) (=> (_ (_ tptp.ord_less_eq_int_o @t683) @t682) (=> (_ (_ tptp.ord_less_eq_int_o @t682) @t683) (= @t683 @t682))))) % 152.04/152.33 (assume @p286 (forall (@list @t685 @t684) (=> (_ (_ tptp.ord_less_eq_nat_o @t685) @t684) (=> (_ (_ tptp.ord_less_eq_nat_o @t684) @t685) (= @t685 @t684))))) % 152.04/152.33 (assume @p287 (forall (@list @t687 @t686) (=> (_ (_ tptp.ord_less_eq_a_o @t687) @t686) (=> (_ (_ tptp.ord_less_eq_a_o @t686) @t687) (= @t687 @t686))))) % 152.04/152.33 (assume @p288 (forall (@list @t689 @t691 @t688) (=> (_ (_ tptp.ord_less_eq_int_o @t691) @t688) (=> (_ @t690 @t691) (_ @t690 @t688))))) % 152.04/152.33 (assume @p289 (forall (@list @t693 @t695 @t692) (=> (_ (_ tptp.ord_less_eq_nat_o @t695) @t692) (=> (_ @t694 @t695) (_ @t694 @t692))))) % 152.04/152.33 (assume @p290 (forall (@list @t697 @t699 @t696) (=> (_ (_ tptp.ord_less_eq_a_o @t699) @t696) (=> (_ @t698 @t699) (_ @t698 @t696))))) % 152.04/152.33 (assume @p291 (forall (@list @t701 @t703 @t700) (=> (_ (_ tptp.ord_less_eq_pname_o @t703) @t700) (=> (_ @t702 @t703) (_ @t702 @t700))))) % 152.04/152.33 (assume @p292 (forall (@list @t705 @t706 @t704) (=> (=> (not (_ @t707 @t704)) (= @t706 @t705)) (_ @t707 (_ (_ tptp.insert_a @t705) @t704))))) % 152.04/152.33 (assume @p293 (forall (@list @t709 @t710 @t708) (=> (=> (not (_ @t711 @t708)) (= @t710 @t709)) (_ @t711 (_ (_ tptp.insert_int @t709) @t708))))) % 152.04/152.33 (assume @p294 (forall (@list @t713 @t714 @t712) (=> (=> (not (_ @t715 @t712)) (= @t714 @t713)) (_ @t715 (_ (_ tptp.insert_nat @t713) @t712))))) % 152.04/152.33 (assume @p295 (forall (@list @t717 @t718 @t716) (=> (=> (not (_ @t719 @t716)) (= @t718 @t717)) (_ @t719 (_ (_ tptp.insert_pname @t717) @t716))))) % 152.04/152.33 (assume @p296 (forall (@list @t721 @t723 @t720) (=> (_ @t722 (_ (_ tptp.insert_a @t723) @t720)) (=> (not (= @t721 @t723)) (_ @t722 @t720))))) % 152.04/152.33 (assume @p297 (forall (@list @t725 @t727 @t724) (=> (_ @t726 (_ (_ tptp.insert_int @t727) @t724)) (=> (not (= @t725 @t727)) (_ @t726 @t724))))) % 152.04/152.33 (assume @p298 (forall (@list @t729 @t731 @t728) (=> (_ @t730 (_ (_ tptp.insert_nat @t731) @t728)) (=> (not (= @t729 @t731)) (_ @t730 @t728))))) % 152.04/152.33 (assume @p299 (forall (@list @t733 @t735 @t732) (=> (_ @t734 (_ (_ tptp.insert_pname @t735) @t732)) (=> (not (= @t733 @t735)) (_ @t734 @t732))))) % 152.04/152.33 (assume @p300 (forall (@list @t296 @t736 @t274) (=> @t740 (=> @t739 (_ @t736 (_ (_ tptp.minus_minus_nat @t274) @t296)))))) % 152.04/152.33 (assume @p301 (forall (@list @t264 @t743) (=> (_ @t374 @t743) (exists @t744 (= @t743 @t742))))) % 152.04/152.33 (assume @p302 (forall (@list @t745) (_ (_ tptp.ord_less_eq_int_o @t745) @t745))) % 152.04/152.33 (assume @p303 (forall (@list @t746) (_ (_ tptp.ord_less_eq_nat_o @t746) @t746))) % 152.04/152.33 (assume @p304 (forall (@list @t747) (_ (_ tptp.ord_less_eq_int @t747) @t747))) % 152.04/152.33 (assume @p305 (forall (@list @t748) (_ (_ tptp.ord_less_eq_nat @t748) @t748))) % 152.04/152.33 (assume @p306 (forall (@list @t749) (_ (_ tptp.ord_less_eq_a_o @t749) @t749))) % 152.04/152.33 (assume @p307 (forall (@list @t750 @t751) (or (_ (_ tptp.ord_less_eq_int @t750) @t751) (_ (_ tptp.ord_less_eq_int @t751) @t750)))) % 152.04/152.33 (assume @p308 (forall (@list @t752 @t753) (or (_ (_ tptp.ord_less_eq_nat @t752) @t753) (_ (_ tptp.ord_less_eq_nat @t753) @t752)))) % 152.04/152.33 (assume @p309 (forall (@list @t754 @t755) (= (= @t754 @t755) (and (_ (_ tptp.ord_less_eq_int_o @t754) @t755) (_ (_ tptp.ord_less_eq_int_o @t755) @t754))))) % 152.04/152.33 (assume @p310 (forall (@list @t756 @t757) (= (= @t756 @t757) (and (_ (_ tptp.ord_less_eq_nat_o @t756) @t757) (_ (_ tptp.ord_less_eq_nat_o @t757) @t756))))) % 152.04/152.33 (assume @p311 (forall (@list @t758 @t759) (= (= @t758 @t759) (and (_ (_ tptp.ord_less_eq_int @t758) @t759) (_ (_ tptp.ord_less_eq_int @t759) @t758))))) % 152.04/152.33 (assume @p312 (forall (@list @t760 @t761) (= (= @t760 @t761) (and (_ (_ tptp.ord_less_eq_nat @t760) @t761) (_ (_ tptp.ord_less_eq_nat @t761) @t760))))) % 152.04/152.33 (assume @p313 (forall (@list @t762 @t763) (= (= @t762 @t763) (and (_ (_ tptp.ord_less_eq_a_o @t762) @t763) (_ (_ tptp.ord_less_eq_a_o @t763) @t762))))) % 152.04/152.33 (assume @p314 (forall (@list @t765 @t764) (=> (= @t765 @t764) (_ (_ tptp.ord_less_eq_int_o @t765) @t764)))) % 152.04/152.33 (assume @p315 (forall (@list @t767 @t766) (=> (= @t767 @t766) (_ (_ tptp.ord_less_eq_nat_o @t767) @t766)))) % 152.04/152.33 (assume @p316 (forall (@list @t769 @t768) (=> (= @t769 @t768) (_ (_ tptp.ord_less_eq_int @t769) @t768)))) % 152.04/152.33 (assume @p317 (forall (@list @t771 @t770) (=> (= @t771 @t770) (_ (_ tptp.ord_less_eq_nat @t771) @t770)))) % 152.04/152.33 (assume @p318 (forall (@list @t773 @t772) (=> (= @t773 @t772) (_ (_ tptp.ord_less_eq_a_o @t773) @t772)))) % 152.04/152.33 (assume @p319 (forall (@list @t774 @t775) (=> (_ (_ tptp.ord_less_eq_int_o @t774) @t775) (= (_ (_ tptp.ord_less_eq_int_o @t775) @t774) (= @t775 @t774))))) % 152.04/152.33 (assume @p320 (forall (@list @t776 @t777) (=> (_ (_ tptp.ord_less_eq_nat_o @t776) @t777) (= (_ (_ tptp.ord_less_eq_nat_o @t777) @t776) (= @t777 @t776))))) % 152.04/152.33 (assume @p321 (forall (@list @t778 @t779) (=> (_ (_ tptp.ord_less_eq_int @t778) @t779) (= (_ (_ tptp.ord_less_eq_int @t779) @t778) (= @t779 @t778))))) % 152.04/152.33 (assume @p322 (forall (@list @t780 @t781) (=> (_ (_ tptp.ord_less_eq_nat @t780) @t781) (= (_ (_ tptp.ord_less_eq_nat @t781) @t780) (= @t781 @t780))))) % 152.04/152.33 (assume @p323 (forall (@list @t782 @t783) (=> (_ (_ tptp.ord_less_eq_a_o @t782) @t783) (= (_ (_ tptp.ord_less_eq_a_o @t783) @t782) (= @t783 @t782))))) % 152.04/152.33 (assume @p324 (forall (@list @t784 @t785 @t786) (=> (= @t785 @t786) (=> (_ (_ tptp.ord_less_eq_int_o @t786) @t784) (_ (_ tptp.ord_less_eq_int_o @t785) @t784))))) % 152.04/152.33 (assume @p325 (forall (@list @t787 @t788 @t789) (=> (= @t788 @t789) (=> (_ (_ tptp.ord_less_eq_nat_o @t789) @t787) (_ (_ tptp.ord_less_eq_nat_o @t788) @t787))))) % 152.04/152.33 (assume @p326 (forall (@list @t790 @t791 @t792) (=> (= @t791 @t792) (=> (_ (_ tptp.ord_less_eq_int @t792) @t790) (_ (_ tptp.ord_less_eq_int @t791) @t790))))) % 152.04/152.33 (assume @p327 (forall (@list @t793 @t794 @t795) (=> (= @t794 @t795) (=> (_ (_ tptp.ord_less_eq_nat @t795) @t793) (_ (_ tptp.ord_less_eq_nat @t794) @t793))))) % 152.04/152.33 (assume @p328 (forall (@list @t796 @t797 @t798) (=> (= @t797 @t798) (=> (_ (_ tptp.ord_less_eq_a_o @t798) @t796) (_ (_ tptp.ord_less_eq_a_o @t797) @t796))))) % 152.04/152.33 (assume @p329 (forall (@list @t800 @t799 @t802) (=> (= @t799 @t802) (=> (_ @t801 @t802) (_ @t801 @t799))))) % 152.04/152.33 (assume @p330 (forall (@list @t804 @t803 @t806) (=> (= @t803 @t806) (=> (_ @t805 @t806) (_ @t805 @t803))))) % 152.04/152.33 (assume @p331 (forall (@list @t808 @t807 @t810) (=> (= @t807 @t810) (=> (_ @t809 @t810) (_ @t809 @t807))))) % 152.04/152.33 (assume @p332 (forall (@list @t812 @t811 @t814) (=> (= @t811 @t814) (=> (_ @t813 @t814) (_ @t813 @t811))))) % 152.04/152.33 (assume @p333 (forall (@list @t816 @t815 @t818) (=> (= @t815 @t818) (=> (_ @t817 @t818) (_ @t817 @t815))))) % 152.04/152.33 (assume @p334 (forall (@list @t819 @t820 @t822) (=> (_ @t821 @t822) (=> (= @t822 @t819) (_ @t821 @t819))))) % 152.04/152.33 (assume @p335 (forall (@list @t823 @t824 @t826) (=> (_ @t825 @t826) (=> (= @t826 @t823) (_ @t825 @t823))))) % 152.04/152.33 (assume @p336 (forall (@list @t827 @t828 @t830) (=> (_ @t829 @t830) (=> (= @t830 @t827) (_ @t829 @t827))))) % 152.04/152.33 (assume @p337 (forall (@list @t831 @t832 @t834) (=> (_ @t833 @t834) (=> (= @t834 @t831) (_ @t833 @t831))))) % 152.04/152.33 (assume @p338 (forall (@list @t835 @t836 @t838) (=> (_ @t837 @t838) (=> (= @t838 @t835) (_ @t837 @t835))))) % 152.04/152.33 (assume @p339 (forall (@list @t840 @t841 @t839) (=> (_ (_ tptp.ord_less_eq_int_o @t841) @t839) (=> (= @t841 @t840) (_ (_ tptp.ord_less_eq_int_o @t840) @t839))))) % 152.04/152.33 (assume @p340 (forall (@list @t843 @t844 @t842) (=> (_ (_ tptp.ord_less_eq_nat_o @t844) @t842) (=> (= @t844 @t843) (_ (_ tptp.ord_less_eq_nat_o @t843) @t842))))) % 152.04/152.33 (assume @p341 (forall (@list @t846 @t847 @t845) (=> (_ (_ tptp.ord_less_eq_int @t847) @t845) (=> (= @t847 @t846) (_ (_ tptp.ord_less_eq_int @t846) @t845))))) % 152.04/152.33 (assume @p342 (forall (@list @t849 @t850 @t848) (=> (_ (_ tptp.ord_less_eq_nat @t850) @t848) (=> (= @t850 @t849) (_ (_ tptp.ord_less_eq_nat @t849) @t848))))) % 152.04/152.33 (assume @p343 (forall (@list @t852 @t853 @t851) (=> (_ (_ tptp.ord_less_eq_a_o @t853) @t851) (=> (= @t853 @t852) (_ (_ tptp.ord_less_eq_a_o @t852) @t851))))) % 152.04/152.33 (assume @p344 (forall (@list @t855 @t854) (=> (_ (_ tptp.ord_less_eq_int_o @t855) @t854) (=> (_ (_ tptp.ord_less_eq_int_o @t854) @t855) (= @t855 @t854))))) % 152.04/152.33 (assume @p345 (forall (@list @t857 @t856) (=> (_ (_ tptp.ord_less_eq_nat_o @t857) @t856) (=> (_ (_ tptp.ord_less_eq_nat_o @t856) @t857) (= @t857 @t856))))) % 152.04/152.33 (assume @p346 (forall (@list @t859 @t858) (=> (_ (_ tptp.ord_less_eq_int @t859) @t858) (=> (_ (_ tptp.ord_less_eq_int @t858) @t859) (= @t859 @t858))))) % 152.04/152.33 (assume @p347 (forall (@list @t861 @t860) (=> (_ (_ tptp.ord_less_eq_nat @t861) @t860) (=> (_ (_ tptp.ord_less_eq_nat @t860) @t861) (= @t861 @t860))))) % 152.04/152.33 (assume @p348 (forall (@list @t863 @t862) (=> (_ (_ tptp.ord_less_eq_a_o @t863) @t862) (=> (_ (_ tptp.ord_less_eq_a_o @t862) @t863) (= @t863 @t862))))) % 152.04/152.33 (assume @p349 (forall (@list @t864 @t865 @t867) (=> (_ @t866 @t867) (=> (_ (_ tptp.ord_less_eq_int_o @t867) @t864) (_ @t866 @t864))))) % 152.04/152.33 (assume @p350 (forall (@list @t868 @t869 @t871) (=> (_ @t870 @t871) (=> (_ (_ tptp.ord_less_eq_nat_o @t871) @t868) (_ @t870 @t868))))) % 152.04/152.33 (assume @p351 (forall (@list @t872 @t873 @t875) (=> (_ @t874 @t875) (=> (_ (_ tptp.ord_less_eq_int @t875) @t872) (_ @t874 @t872))))) % 152.04/152.33 (assume @p352 (forall (@list @t876 @t877 @t879) (=> (_ @t878 @t879) (=> (_ (_ tptp.ord_less_eq_nat @t879) @t876) (_ @t878 @t876))))) % 152.04/152.33 (assume @p353 (forall (@list @t880 @t881 @t883) (=> (_ @t882 @t883) (=> (_ (_ tptp.ord_less_eq_a_o @t883) @t880) (_ @t882 @t880))))) % 152.04/152.33 (assume @p354 (forall (@list @t884 @t885) (=> (_ (_ tptp.ord_less_eq_int_o @t884) @t885) (=> (_ (_ tptp.ord_less_eq_int_o @t885) @t884) (= @t885 @t884))))) % 152.04/152.33 (assume @p355 (forall (@list @t886 @t887) (=> (_ (_ tptp.ord_less_eq_nat_o @t886) @t887) (=> (_ (_ tptp.ord_less_eq_nat_o @t887) @t886) (= @t887 @t886))))) % 152.04/152.33 (assume @p356 (forall (@list @t888 @t889) (=> (_ (_ tptp.ord_less_eq_int @t888) @t889) (=> (_ (_ tptp.ord_less_eq_int @t889) @t888) (= @t889 @t888))))) % 152.04/152.33 (assume @p357 (forall (@list @t890 @t891) (=> (_ (_ tptp.ord_less_eq_nat @t890) @t891) (=> (_ (_ tptp.ord_less_eq_nat @t891) @t890) (= @t891 @t890))))) % 152.04/152.33 (assume @p358 (forall (@list @t892 @t893) (=> (_ (_ tptp.ord_less_eq_a_o @t892) @t893) (=> (_ (_ tptp.ord_less_eq_a_o @t893) @t892) (= @t893 @t892))))) % 152.04/152.33 (assume @p359 (forall (@list @t895 @t897 @t894) (=> (_ (_ tptp.ord_less_eq_int_o @t897) @t894) (=> (_ @t896 @t897) (_ @t896 @t894))))) % 152.04/152.33 (assume @p360 (forall (@list @t899 @t901 @t898) (=> (_ (_ tptp.ord_less_eq_nat_o @t901) @t898) (=> (_ @t900 @t901) (_ @t900 @t898))))) % 152.04/152.33 (assume @p361 (forall (@list @t903 @t905 @t902) (=> (_ (_ tptp.ord_less_eq_int @t905) @t902) (=> (_ @t904 @t905) (_ @t904 @t902))))) % 152.04/152.33 (assume @p362 (forall (@list @t907 @t909 @t906) (=> (_ (_ tptp.ord_less_eq_nat @t909) @t906) (=> (_ @t908 @t909) (_ @t908 @t906))))) % 152.04/152.33 (assume @p363 (forall (@list @t911 @t913 @t910) (=> (_ (_ tptp.ord_less_eq_a_o @t913) @t910) (=> (_ @t912 @t913) (_ @t912 @t910))))) % 152.04/152.33 (assume @p364 (forall (@list @t914 @t915) (=> (not (_ (_ tptp.ord_less_eq_int @t914) @t915)) (_ (_ tptp.ord_less_eq_int @t915) @t914)))) % 152.04/152.33 (assume @p365 (forall (@list @t916 @t917) (=> (not (_ (_ tptp.ord_less_eq_nat @t916) @t917)) (_ (_ tptp.ord_less_eq_nat @t917) @t916)))) % 152.04/152.33 (assume @p366 (forall (@list @t919 @t918) (_ (_ tptp.member_a @t919) (_ (_ tptp.insert_a @t919) @t918)))) % 152.04/152.33 (assume @p367 (forall (@list @t921 @t920) (_ (_ tptp.member_int @t921) (_ (_ tptp.insert_int @t921) @t920)))) % 152.04/152.33 (assume @p368 (forall (@list @t923 @t922) (_ (_ tptp.member_nat @t923) (_ (_ tptp.insert_nat @t923) @t922)))) % 152.04/152.33 (assume @p369 (forall (@list @t925 @t924) (_ (_ tptp.member_pname @t925) (_ (_ tptp.insert_pname @t925) @t924)))) % 152.04/152.33 (assume @p370 (forall (@list @t928 @t926) (= (_ (_ tptp.insert_a @t928) @t926) (_ tptp.collect_a (lambda @t235 (or (= @t232 @t928) (_ @t927 @t926))))))) % 152.04/152.33 (assume @p371 (forall (@list @t930 @t929) (= (_ (_ tptp.insert_int @t930) @t929) (_ tptp.collect_int (lambda @t263 (or (= @t260 @t930) (_ @t653 @t929))))))) % 152.04/152.33 (assume @p372 (forall (@list @t932 @t931) (= (_ (_ tptp.insert_nat @t932) @t931) (_ tptp.collect_nat (lambda @t259 (or (= @t256 @t932) (_ @t641 @t931))))))) % 152.04/152.33 (assume @p373 (forall (@list @t934 @t933) (= (_ (_ tptp.insert_pname @t934) @t933) (_ tptp.collect_pname (lambda @t255 (or (= @t252 @t934) (_ @t664 @t933))))))) % 152.04/152.33 (assume @p374 (forall (@list @t937 @t936) (= (_ (_ tptp.insert_a @t937) (_ tptp.collect_a @t936)) (_ tptp.collect_a (lambda (@list @t935) (=> (not (= @t935 @t937)) (_ @t936 @t935))))))) % 152.04/152.33 (assume @p375 (forall (@list @t940 @t939) (= (_ (_ tptp.insert_int @t940) (_ tptp.collect_int @t939)) (_ tptp.collect_int (lambda (@list @t938) (=> (not (= @t938 @t940)) (_ @t939 @t938))))))) % 152.04/152.33 (assume @p376 (forall (@list @t943 @t942) (= (_ (_ tptp.insert_nat @t943) (_ tptp.collect_nat @t942)) (_ tptp.collect_nat (lambda (@list @t941) (=> (not (= @t941 @t943)) (_ @t942 @t941))))))) % 152.04/152.33 (assume @p377 (forall (@list @t944 @t945) (= (_ (_ tptp.member_int @t944) @t945) (_ @t945 @t944)))) % 152.04/152.33 (assume @p378 (forall (@list @t946 @t947) (= (_ (_ tptp.member_nat @t946) @t947) (_ @t947 @t946)))) % 152.04/152.33 (assume @p379 (forall (@list @t948 @t949) (= (_ (_ tptp.member_a @t948) @t949) (_ @t949 @t948)))) % 152.04/152.33 (assume @p380 (forall (@list @t950 @t951) (= (_ (_ tptp.member_pname @t950) @t951) (_ @t951 @t950)))) % 152.04/152.33 (assume @p381 (forall (@list @t952) (= (_ tptp.collect_int @t952) @t952))) % 152.04/152.33 (assume @p382 (forall (@list @t953) (= (_ tptp.collect_nat @t953) @t953))) % 152.04/152.33 (assume @p383 (forall (@list @t955 @t954) (= (_ @t956 @t957) @t957))) % 152.04/152.33 (assume @p384 (forall (@list @t959 @t961 @t958) (= (_ @t960 (_ @t962 @t958)) (_ @t962 (_ @t960 @t958))))) % 152.04/152.33 (assume @p385 (forall (@list @t964 @t966 @t963) (= (_ @t965 (_ (_ tptp.insert_a @t966) @t963)) (or (= @t964 @t966) (_ @t965 @t963))))) % 152.04/152.33 (assume @p386 (forall (@list @t968 @t970 @t967) (= (_ @t969 (_ (_ tptp.insert_int @t970) @t967)) (or (= @t968 @t970) (_ @t969 @t967))))) % 152.04/152.33 (assume @p387 (forall (@list @t972 @t974 @t971) (= (_ @t973 (_ (_ tptp.insert_nat @t974) @t971)) (or (= @t972 @t974) (_ @t973 @t971))))) % 152.04/152.33 (assume @p388 (forall (@list @t976 @t978 @t975) (= (_ @t977 (_ (_ tptp.insert_pname @t978) @t975)) (or (= @t976 @t978) (_ @t977 @t975))))) % 152.04/152.33 (assume @p389 (forall (@list @t981 @t980 @t979) (= (_ (_ (_ tptp.insert_a @t981) @t980) @t979) (or (= @t981 @t979) (_ @t980 @t979))))) % 152.04/152.33 (assume @p390 (forall (@list @t982 @t984 @t983) (=> (not (_ @t986 @t983)) (=> (not (_ @t986 @t982)) (= (= (_ @t985 @t983) (_ @t985 @t982)) (= @t983 @t982)))))) % 152.04/152.33 (assume @p391 (forall (@list @t987 @t989 @t988) (=> (not (_ @t991 @t988)) (=> (not (_ @t991 @t987)) (= (= (_ @t990 @t988) (_ @t990 @t987)) (= @t988 @t987)))))) % 152.04/152.33 (assume @p392 (forall (@list @t992 @t994 @t993) (=> (not (_ @t996 @t993)) (=> (not (_ @t996 @t992)) (= (= (_ @t995 @t993) (_ @t995 @t992)) (= @t993 @t992)))))) % 152.04/152.33 (assume @p393 (forall (@list @t997 @t999 @t998) (=> (not (_ @t1001 @t998)) (=> (not (_ @t1001 @t997)) (= (= (_ @t1000 @t998) (_ @t1000 @t997)) (= @t998 @t997)))))) % 152.04/152.33 (assume @p394 (forall (@list @t1003 @t1004 @t1002) (=> (_ @t1005 @t1002) (_ @t1005 (_ (_ tptp.insert_a @t1003) @t1002))))) % 152.04/152.33 (assume @p395 (forall (@list @t1007 @t1008 @t1006) (=> (_ @t1009 @t1006) (_ @t1009 (_ (_ tptp.insert_int @t1007) @t1006))))) % 152.04/152.33 (assume @p396 (forall (@list @t1011 @t1012 @t1010) (=> (_ @t1013 @t1010) (_ @t1013 (_ (_ tptp.insert_nat @t1011) @t1010))))) % 152.04/152.33 (assume @p397 (forall (@list @t1015 @t1016 @t1014) (=> (_ @t1017 @t1014) (_ @t1017 (_ (_ tptp.insert_pname @t1015) @t1014))))) % 152.04/152.33 (assume @p398 (forall (@list @t1019 @t1018) (=> (_ (_ tptp.member_a @t1019) @t1018) (= (_ (_ tptp.insert_a @t1019) @t1018) @t1018)))) % 152.04/152.33 (assume @p399 (forall (@list @t1021 @t1020) (=> (_ (_ tptp.member_int @t1021) @t1020) (= (_ (_ tptp.insert_int @t1021) @t1020) @t1020)))) % 152.04/152.33 (assume @p400 (forall (@list @t1023 @t1022) (=> (_ (_ tptp.member_nat @t1023) @t1022) (= (_ (_ tptp.insert_nat @t1023) @t1022) @t1022)))) % 152.04/152.33 (assume @p401 (forall (@list @t1025 @t1024) (=> (_ (_ tptp.member_pname @t1025) @t1024) (= (_ (_ tptp.insert_pname @t1025) @t1024) @t1024)))) % 152.04/152.33 (assume @p402 (forall (@list @t1026) (_ (_ tptp.ord_less_eq_int_o @t1026) @t1026))) % 152.04/152.33 (assume @p403 (forall (@list @t1027) (_ (_ tptp.ord_less_eq_nat_o @t1027) @t1027))) % 152.04/152.33 (assume @p404 (forall (@list @t1028) (_ (_ tptp.ord_less_eq_a_o @t1028) @t1028))) % 152.04/152.33 (assume @p405 (forall (@list @t1029 @t1030) (= (= @t1029 @t1030) (and (_ (_ tptp.ord_less_eq_int_o @t1029) @t1030) (_ (_ tptp.ord_less_eq_int_o @t1030) @t1029))))) % 152.04/152.33 (assume @p406 (forall (@list @t1031 @t1032) (= (= @t1031 @t1032) (and (_ (_ tptp.ord_less_eq_nat_o @t1031) @t1032) (_ (_ tptp.ord_less_eq_nat_o @t1032) @t1031))))) % 152.04/152.33 (assume @p407 (forall (@list @t1033 @t1034) (= (= @t1033 @t1034) (and (_ (_ tptp.ord_less_eq_a_o @t1033) @t1034) (_ (_ tptp.ord_less_eq_a_o @t1034) @t1033))))) % 152.04/152.33 (assume @p408 (forall (@list @t1036 @t1035) (=> (= @t1036 @t1035) (_ (_ tptp.ord_less_eq_int_o @t1036) @t1035)))) % 152.04/152.33 (assume @p409 (forall (@list @t1038 @t1037) (=> (= @t1038 @t1037) (_ (_ tptp.ord_less_eq_nat_o @t1038) @t1037)))) % 152.04/152.33 (assume @p410 (forall (@list @t1040 @t1039) (=> (= @t1040 @t1039) (_ (_ tptp.ord_less_eq_a_o @t1040) @t1039)))) % 152.04/152.33 (assume @p411 (forall (@list @t1041 @t1042) (=> (= @t1041 @t1042) (_ (_ tptp.ord_less_eq_int_o @t1042) @t1041)))) % 152.04/152.33 (assume @p412 (forall (@list @t1043 @t1044) (=> (= @t1043 @t1044) (_ (_ tptp.ord_less_eq_nat_o @t1044) @t1043)))) % 152.04/152.33 (assume @p413 (forall (@list @t1045 @t1046) (=> (= @t1045 @t1046) (_ (_ tptp.ord_less_eq_a_o @t1046) @t1045)))) % 152.04/152.33 (assume @p414 (forall (@list @t1048 @t1050 @t1047) (=> (_ (_ tptp.ord_less_eq_int_o @t1050) @t1047) (=> (_ @t1049 @t1050) (_ @t1049 @t1047))))) % 152.04/152.33 (assume @p415 (forall (@list @t1052 @t1054 @t1051) (=> (_ (_ tptp.ord_less_eq_nat_o @t1054) @t1051) (=> (_ @t1053 @t1054) (_ @t1053 @t1051))))) % 152.04/152.33 (assume @p416 (forall (@list @t1056 @t1058 @t1055) (=> (_ (_ tptp.ord_less_eq_a_o @t1058) @t1055) (=> (_ @t1057 @t1058) (_ @t1057 @t1055))))) % 152.04/152.33 (assume @p417 (forall (@list @t1060 @t1062 @t1059) (=> (_ (_ tptp.ord_less_eq_pname_o @t1062) @t1059) (=> (_ @t1061 @t1062) (_ @t1061 @t1059))))) % 152.04/152.33 (assume @p418 (forall (@list @t1063 @t1064 @t1066) (=> (_ @t1065 @t1066) (=> (_ (_ tptp.ord_less_eq_int_o @t1066) @t1063) (_ @t1065 @t1063))))) % 152.04/152.33 (assume @p419 (forall (@list @t1067 @t1068 @t1070) (=> (_ @t1069 @t1070) (=> (_ (_ tptp.ord_less_eq_nat_o @t1070) @t1067) (_ @t1069 @t1067))))) % 152.04/152.33 (assume @p420 (forall (@list @t1071 @t1072 @t1074) (=> (_ @t1073 @t1074) (=> (_ (_ tptp.ord_less_eq_a_o @t1074) @t1071) (_ @t1073 @t1071))))) % 152.04/152.33 (assume @p421 (forall (@list @t1075 @t1076 @t1078) (=> (_ @t1077 @t1078) (=> (_ (_ tptp.ord_less_eq_pname_o @t1078) @t1075) (_ @t1077 @t1075))))) % 152.04/152.33 (assume @p422 (forall (@list @t1080 @t1082 @t1079) (=> (_ (_ tptp.ord_less_eq_int_o @t1082) @t1079) (=> (_ @t1081 @t1082) (_ @t1081 @t1079))))) % 152.04/152.33 (assume @p423 (forall (@list @t1084 @t1086 @t1083) (=> (_ (_ tptp.ord_less_eq_nat_o @t1086) @t1083) (=> (_ @t1085 @t1086) (_ @t1085 @t1083))))) % 152.04/152.33 (assume @p424 (forall (@list @t1088 @t1090 @t1087) (=> (_ (_ tptp.ord_less_eq_a_o @t1090) @t1087) (=> (_ @t1089 @t1090) (_ @t1089 @t1087))))) % 152.04/152.33 (assume @p425 (forall (@list @t1092 @t1094 @t1091) (=> (_ (_ tptp.ord_less_eq_pname_o @t1094) @t1091) (=> (_ @t1093 @t1094) (_ @t1093 @t1091))))) % 152.04/152.33 (assume @p426 (forall (@list @t1095 @t1096 @t1098) (=> (_ @t1097 @t1098) (=> (_ (_ tptp.ord_less_eq_int_o @t1098) @t1095) (_ @t1097 @t1095))))) % 152.04/152.33 (assume @p427 (forall (@list @t1099 @t1100 @t1102) (=> (_ @t1101 @t1102) (=> (_ (_ tptp.ord_less_eq_nat_o @t1102) @t1099) (_ @t1101 @t1099))))) % 152.04/152.33 (assume @p428 (forall (@list @t1103 @t1104 @t1106) (=> (_ @t1105 @t1106) (=> (_ (_ tptp.ord_less_eq_a_o @t1106) @t1103) (_ @t1105 @t1103))))) % 152.04/152.33 (assume @p429 (forall (@list @t1107 @t1108) (=> (= @t1107 @t1108) (not (=> (_ (_ tptp.ord_less_eq_int_o @t1107) @t1108) (not (_ (_ tptp.ord_less_eq_int_o @t1108) @t1107))))))) % 152.04/152.33 (assume @p430 (forall (@list @t1109 @t1110) (=> (= @t1109 @t1110) (not (=> (_ (_ tptp.ord_less_eq_nat_o @t1109) @t1110) (not (_ (_ tptp.ord_less_eq_nat_o @t1110) @t1109))))))) % 152.04/152.33 (assume @p431 (forall (@list @t1111 @t1112) (=> (= @t1111 @t1112) (not (=> (_ (_ tptp.ord_less_eq_a_o @t1111) @t1112) (not (_ (_ tptp.ord_less_eq_a_o @t1112) @t1111))))))) % 152.04/152.33 (assume @p432 (forall (@list @t1114 @t1113 @t1115) (= (_ (_ tptp.member_int @t1114) (_ (_ tptp.image_nat_int @t1113) @t1115)) (exists @t259 (and (_ @t641 @t1115) (= @t1114 (_ @t1113 @t256))))))) % 152.04/152.33 (assume @p433 (forall (@list @t1117 @t1116 @t1118) (= (_ (_ tptp.member_a @t1117) (_ (_ tptp.image_pname_a @t1116) @t1118)) (exists @t255 (and (_ @t664 @t1118) (= @t1117 (_ @t1116 @t252))))))) % 152.04/152.33 (assume @p434 (forall (@list @t1120 @t1121 @t1119) (=> (_ (_ tptp.member_nat @t1121) @t1119) (_ (_ tptp.member_int (_ @t1120 @t1121)) (_ (_ tptp.image_nat_int @t1120) @t1119))))) % 152.04/152.33 (assume @p435 (forall (@list @t1123 @t1124 @t1122) (=> (_ (_ tptp.member_pname @t1124) @t1122) (_ (_ tptp.member_a (_ @t1123 @t1124)) (_ (_ tptp.image_pname_a @t1123) @t1122))))) % 152.04/152.33 (assume @p436 (forall (@list @t1127 @t1126 @t1128 @t1125) (=> (_ (_ tptp.member_nat @t1128) @t1125) (=> (= @t1127 (_ @t1126 @t1128)) (_ (_ tptp.member_int @t1127) (_ (_ tptp.image_nat_int @t1126) @t1125)))))) % 152.04/152.33 (assume @p437 (forall (@list @t1131 @t1130 @t1132 @t1129) (=> (_ (_ tptp.member_pname @t1132) @t1129) (=> (= @t1131 (_ @t1130 @t1132)) (_ (_ tptp.member_a @t1131) (_ (_ tptp.image_pname_a @t1130) @t1129)))))) % 152.04/152.33 (assume @p438 (forall (@list @t232 @t1133) (= (_ @t1135 @t1133) (_ tptp.collect_a (lambda (@list @t1134) (or (= @t1134 @t232) (_ (_ tptp.member_a @t1134) @t1133))))))) % 152.04/152.33 (assume @p439 (forall (@list @t260 @t1136) (= (_ @t1138 @t1136) (_ tptp.collect_int (lambda (@list @t1137) (or (= @t1137 @t260) (_ (_ tptp.member_int @t1137) @t1136))))))) % 152.04/152.33 (assume @p440 (forall (@list @t256 @t1139) (= (_ @t1141 @t1139) (_ tptp.collect_nat (lambda (@list @t1140) (or (= @t1140 @t256) (_ (_ tptp.member_nat @t1140) @t1139))))))) % 152.04/152.33 (assume @p441 (forall (@list @t252 @t1142) (= (_ @t1144 @t1142) (_ tptp.collect_pname (lambda (@list @t1143) (or (= @t1143 @t252) (_ (_ tptp.member_pname @t1143) @t1142))))))) % 152.04/152.33 (assume @p442 (forall (@list @t1146 @t1145) (= (_ (_ tptp.ord_less_eq_int_o @t1146) @t1145) (forall @t263 (_ (_ tptp.ord_less_eq_o (_ @t1146 @t260)) (_ @t1145 @t260)))))) % 152.04/152.33 (assume @p443 (forall (@list @t1148 @t1147) (= (_ (_ tptp.ord_less_eq_nat_o @t1148) @t1147) (forall @t259 (_ (_ tptp.ord_less_eq_o (_ @t1148 @t256)) (_ @t1147 @t256)))))) % 152.04/152.33 (assume @p444 (forall (@list @t1150 @t1149) (= (_ (_ tptp.ord_less_eq_a_o @t1150) @t1149) (forall @t235 (_ (_ tptp.ord_less_eq_o (_ @t1150 @t232)) (_ @t1149 @t232)))))) % 152.04/152.33 (assume @p445 (forall (@list @t1151 @t1153 @t1152) (=> (_ (_ tptp.ord_less_eq_int_o @t1153) @t1152) (_ (_ tptp.ord_less_eq_o (_ @t1153 @t1151)) (_ @t1152 @t1151))))) % 152.04/152.33 (assume @p446 (forall (@list @t1154 @t1156 @t1155) (=> (_ (_ tptp.ord_less_eq_nat_o @t1156) @t1155) (_ (_ tptp.ord_less_eq_o (_ @t1156 @t1154)) (_ @t1155 @t1154))))) % 152.04/152.33 (assume @p447 (forall (@list @t1157 @t1159 @t1158) (=> (_ (_ tptp.ord_less_eq_a_o @t1159) @t1158) (_ (_ tptp.ord_less_eq_o (_ @t1159 @t1157)) (_ @t1158 @t1157))))) % 152.04/152.33 (assume @p448 (forall (@list @t1160 @t1162 @t1161) (=> (_ (_ tptp.ord_less_eq_int_o @t1162) @t1161) (_ (_ tptp.ord_less_eq_o (_ @t1162 @t1160)) (_ @t1161 @t1160))))) % 152.04/152.33 (assume @p449 (forall (@list @t1163 @t1165 @t1164) (=> (_ (_ tptp.ord_less_eq_nat_o @t1165) @t1164) (_ (_ tptp.ord_less_eq_o (_ @t1165 @t1163)) (_ @t1164 @t1163))))) % 152.04/152.33 (assume @p450 (forall (@list @t1166 @t1168 @t1167) (=> (_ (_ tptp.ord_less_eq_a_o @t1168) @t1167) (_ (_ tptp.ord_less_eq_o (_ @t1168 @t1166)) (_ @t1167 @t1166))))) % 152.04/152.33 (assume @p451 (forall (@list @t1169 @t1170) (_ (_ tptp.ord_less_eq_a_o @t1169) (_ (_ tptp.insert_a @t1170) @t1169)))) % 152.04/152.33 (assume @p452 (forall (@list @t1171 @t1172) (_ (_ tptp.ord_less_eq_int_o @t1171) (_ (_ tptp.insert_int @t1172) @t1171)))) % 152.04/152.33 (assume @p453 (forall (@list @t1173 @t1174) (_ (_ tptp.ord_less_eq_nat_o @t1173) (_ (_ tptp.insert_nat @t1174) @t1173)))) % 152.04/152.33 (assume @p454 @t1185) % 152.04/152.33 (assume @p455 (forall (@list @t1188 @t1187 @t1186) (= (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.insert_int @t1188) @t1187)) @t1186) (and (_ (_ tptp.member_int @t1188) @t1186) (_ (_ tptp.ord_less_eq_int_o @t1187) @t1186))))) % 152.04/152.33 (assume @p456 (forall (@list @t1191 @t1190 @t1189) (= (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.insert_nat @t1191) @t1190)) @t1189) (and (_ (_ tptp.member_nat @t1191) @t1189) (_ (_ tptp.ord_less_eq_nat_o @t1190) @t1189))))) % 152.04/152.33 (assume @p457 (forall (@list @t1194 @t1193 @t1192) (= (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.insert_pname @t1194) @t1193)) @t1192) (and (_ (_ tptp.member_pname @t1194) @t1192) (_ (_ tptp.ord_less_eq_pname_o @t1193) @t1192))))) % 152.04/152.33 (assume @p458 (forall (@list @t1195 @t1198 @t1196) (=> (not (_ (_ tptp.member_a @t1198) @t1196)) (= (_ @t1197 (_ (_ tptp.insert_a @t1198) @t1195)) (_ @t1197 @t1195))))) % 152.04/152.33 (assume @p459 (forall (@list @t1199 @t1202 @t1200) (=> (not (_ (_ tptp.member_int @t1202) @t1200)) (= (_ @t1201 (_ (_ tptp.insert_int @t1202) @t1199)) (_ @t1201 @t1199))))) % 152.04/152.33 (assume @p460 (forall (@list @t1203 @t1206 @t1204) (=> (not (_ (_ tptp.member_nat @t1206) @t1204)) (= (_ @t1205 (_ (_ tptp.insert_nat @t1206) @t1203)) (_ @t1205 @t1203))))) % 152.04/152.33 (assume @p461 (forall (@list @t1207 @t1210 @t1208) (=> (not (_ (_ tptp.member_pname @t1210) @t1208)) (= (_ @t1209 (_ (_ tptp.insert_pname @t1210) @t1207)) (_ @t1209 @t1207))))) % 152.04/152.33 (assume @p462 (forall (@list @t1212 @t1213 @t1211) (=> (_ @t1214 @t1211) (_ @t1214 (_ (_ tptp.insert_a @t1212) @t1211))))) % 152.04/152.33 (assume @p463 (forall (@list @t1216 @t1217 @t1215) (=> (_ @t1218 @t1215) (_ @t1218 (_ (_ tptp.insert_int @t1216) @t1215))))) % 152.04/152.33 (assume @p464 (forall (@list @t1220 @t1221 @t1219) (=> (_ @t1222 @t1219) (_ @t1222 (_ (_ tptp.insert_nat @t1220) @t1219))))) % 152.04/152.33 (assume @p465 (forall (@list @t1224 @t1226 @t1223) (=> (_ (_ tptp.ord_less_eq_a_o @t1226) @t1223) (_ (_ tptp.ord_less_eq_a_o (_ @t1225 @t1226)) (_ @t1225 @t1223))))) % 152.04/152.33 (assume @p466 (forall (@list @t1228 @t1230 @t1227) (=> (_ (_ tptp.ord_less_eq_int_o @t1230) @t1227) (_ (_ tptp.ord_less_eq_int_o (_ @t1229 @t1230)) (_ @t1229 @t1227))))) % 152.04/152.33 (assume @p467 (forall (@list @t1232 @t1234 @t1231) (=> (_ (_ tptp.ord_less_eq_nat_o @t1234) @t1231) (_ (_ tptp.ord_less_eq_nat_o (_ @t1233 @t1234)) (_ @t1233 @t1231))))) % 152.04/152.33 (assume @p468 (forall (@list @t1236 @t1238 @t1235) (= (_ @t1237 (_ (_ tptp.insert_nat @t1238) @t1235)) (_ (_ tptp.insert_int (_ @t1236 @t1238)) (_ @t1237 @t1235))))) % 152.04/152.33 (assume @p469 (forall (@list @t1240 @t1242 @t1239) (= (_ @t1241 (_ (_ tptp.insert_pname @t1242) @t1239)) (_ (_ tptp.insert_a (_ @t1240 @t1242)) (_ @t1241 @t1239))))) % 152.04/152.33 (assume @p470 (forall (@list @t1244 @t1246 @t1243) (=> (_ (_ tptp.member_nat @t1246) @t1243) (= (_ (_ tptp.insert_int (_ @t1244 @t1246)) @t1245) @t1245)))) % 152.04/152.33 (assume @p471 (forall (@list @t1248 @t1250 @t1247) (=> (_ (_ tptp.member_pname @t1250) @t1247) (= (_ (_ tptp.insert_a (_ @t1248 @t1250)) @t1249) @t1249)))) % 152.04/152.33 (assume @p472 (forall (@list @t1254 @t1252 @t1255) (= (_ (_ tptp.ord_less_eq_int_o @t1254) (_ @t1253 @t1255)) (exists (@list @t1251) (and (_ (_ tptp.ord_less_eq_nat_o @t1251) @t1255) (= @t1254 (_ @t1253 @t1251))))))) % 152.04/152.33 (assume @p473 (forall (@list @t1259 @t1257 @t1260) (= (_ (_ tptp.ord_less_eq_a_o @t1259) (_ @t1258 @t1260)) (exists (@list @t1256) (and (_ (_ tptp.ord_less_eq_pname_o @t1256) @t1260) (= @t1259 (_ @t1258 @t1256))))))) % 152.04/152.33 (assume @p474 (forall (@list @t1262 @t1264 @t1261) (=> (_ (_ tptp.ord_less_eq_nat_o @t1264) @t1261) (_ (_ tptp.ord_less_eq_int_o (_ @t1263 @t1264)) (_ @t1263 @t1261))))) % 152.04/152.33 (assume @p475 (forall (@list @t1266 @t1268 @t1265) (=> (_ (_ tptp.ord_less_eq_pname_o @t1268) @t1265) (_ (_ tptp.ord_less_eq_a_o (_ @t1267 @t1268)) (_ @t1267 @t1265))))) % 152.04/152.33 (assume @p476 (forall (@list @t1271 @t1270 @t1269) (=> (_ (_ tptp.member_int @t1271) (_ (_ tptp.image_nat_int @t1270) @t1269)) (not (forall @t259 (=> (= @t1271 (_ @t1270 @t256)) (not (_ @t641 @t1269)))))))) % 152.04/152.33 (assume @p477 (forall (@list @t1274 @t1273 @t1272) (=> (_ (_ tptp.member_a @t1274) (_ (_ tptp.image_pname_a @t1273) @t1272)) (not (forall @t255 (=> (= @t1274 (_ @t1273 @t252)) (not (_ @t664 @t1272)))))))) % 152.04/152.33 (assume @p478 (forall (@list @t1275 @t1276) (=> (forall @t263 (=> (_ @t653 @t1276) (_ @t653 @t1275))) (_ (_ tptp.ord_less_eq_int_o @t1276) @t1275)))) % 152.04/152.33 (assume @p479 (forall (@list @t1277 @t1278) (=> (forall @t259 (=> (_ @t641 @t1278) (_ @t641 @t1277))) (_ (_ tptp.ord_less_eq_nat_o @t1278) @t1277)))) % 152.04/152.33 (assume @p480 (forall (@list @t1279 @t1280) (=> (forall @t235 (=> (_ @t927 @t1280) (_ @t927 @t1279))) (_ (_ tptp.ord_less_eq_a_o @t1280) @t1279)))) % 152.04/152.33 (assume @p481 (forall (@list @t1281 @t1282) (=> (forall @t255 (=> (_ @t664 @t1282) (_ @t664 @t1281))) (_ (_ tptp.ord_less_eq_pname_o @t1282) @t1281)))) % 152.04/152.33 (assume @p482 (forall (@list @t1285 @t1283 @t1284) (=> (forall @t259 (=> (_ @t641 @t1284) (_ (_ tptp.member_int (_ @t1285 @t256)) @t1283))) (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.image_nat_int @t1285) @t1284)) @t1283)))) % 152.04/152.33 (assume @p483 (forall (@list @t1288 @t1286 @t1287) (=> (forall @t255 (=> (_ @t664 @t1287) (_ (_ tptp.member_a (_ @t1288 @t252)) @t1286))) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.image_pname_a @t1288) @t1287)) @t1286)))) % 152.04/152.33 (assume @p484 (forall (@list @t1290 @t1289) (=> (forall @t263 (_ (_ tptp.ord_less_eq_o (_ @t1290 @t260)) (_ @t1289 @t260))) (_ (_ tptp.ord_less_eq_int_o @t1290) @t1289)))) % 152.04/152.33 (assume @p485 (forall (@list @t1292 @t1291) (=> (forall @t259 (_ (_ tptp.ord_less_eq_o (_ @t1292 @t256)) (_ @t1291 @t256))) (_ (_ tptp.ord_less_eq_nat_o @t1292) @t1291)))) % 152.04/152.33 (assume @p486 (forall (@list @t1294 @t1293) (=> (forall @t235 (_ (_ tptp.ord_less_eq_o (_ @t1294 @t232)) (_ @t1293 @t232))) (_ (_ tptp.ord_less_eq_a_o @t1294) @t1293)))) % 152.04/152.33 (assume @p487 (forall @t1298 (= @t1297 (exists @t744 (forall @t259 (=> @t1296 (_ (_ tptp.ord_less_eq_nat @t256) @t741))))))) % 152.04/152.33 (assume @p488 (forall (@list @t2 @t1299) (=> (_ tptp.wt @t1299) (=> (forall @t255 (=> (_ @t664 tptp.u) (_ @t3 (_ (_ tptp.insert_a (_ tptp.mgt_call @t252)) tptp.bot_bot_a_o)))) (_ @t3 (_ (_ tptp.insert_a (_ tptp.mgt @t1299)) tptp.bot_bot_a_o)))))) % 152.04/152.33 (assume @p489 (forall (@list @t1303 @t1302 @t1301 @t1300) (=> (= (_ (_ tptp.minus_minus_int @t1303) @t1302) (_ (_ tptp.minus_minus_int @t1301) @t1300)) (= (_ (_ tptp.ord_less_eq_int @t1303) @t1302) (_ (_ tptp.ord_less_eq_int @t1301) @t1300))))) % 152.04/152.33 (assume @p490 (forall @t295 (= @t370 (_ (_ (_ tptp.nat_case_o false) @t293) @t264)))) % 152.04/152.33 (assume @p491 (forall (@list @t1304) (not (_ (_ tptp.member_int @t1304) tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p492 (forall (@list @t1305) (not (_ (_ tptp.member_nat @t1305) tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p493 (forall (@list @t1306) (not (_ (_ tptp.member_a @t1306) tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p494 (forall (@list @t1307) (not (_ (_ tptp.member_pname @t1307) tptp.bot_bot_pname_o)))) % 152.04/152.33 (assume @p495 (forall (@list @t1308 @t1309) (=> (_ tptp.finite_finite_int @t1309) (_ tptp.finite_finite_int (_ (_ tptp.minus_minus_int_o @t1309) @t1308))))) % 152.04/152.33 (assume @p496 (forall (@list @t1310 @t1311) (=> (_ tptp.finite_finite_nat @t1311) (_ tptp.finite_finite_nat (_ (_ tptp.minus_minus_nat_o @t1311) @t1310))))) % 152.04/152.33 (assume @p497 (forall (@list @t1312 @t1313) (=> (_ tptp.finite_finite_pname @t1313) (_ tptp.finite_finite_pname (_ (_ tptp.minus_minus_pname_o @t1313) @t1312))))) % 152.04/152.33 (assume @p498 (_ tptp.finite_finite_int tptp.bot_bot_int_o)) % 152.04/152.33 (assume @p499 (_ tptp.finite_finite_nat tptp.bot_bot_nat_o)) % 152.04/152.33 (assume @p500 (_ tptp.finite_finite_pname tptp.bot_bot_pname_o)) % 152.04/152.33 (assume @p501 (_ tptp.finite_finite_a tptp.bot_bot_a_o)) % 152.04/152.33 (assume @p502 (forall (@list @t1314) (_ @t1315 @t1314))) % 152.04/152.33 (assume @p503 (forall (@list @t1316) (_ @t1317 @t1316))) % 152.04/152.33 (assume @p504 (forall (@list @t1318) (_ @t1319 @t1318))) % 152.04/152.33 (assume @p505 (forall (@list @t1321 @t1320) (=> (= @t1320 tptp.bot_bot_int_o) (not (_ (_ tptp.member_int @t1321) @t1320))))) % 152.04/152.33 (assume @p506 (forall (@list @t1323 @t1322) (=> (= @t1322 tptp.bot_bot_nat_o) (not (_ (_ tptp.member_nat @t1323) @t1322))))) % 152.04/152.33 (assume @p507 (forall (@list @t1325 @t1324) (=> (= @t1324 tptp.bot_bot_a_o) (not (_ (_ tptp.member_a @t1325) @t1324))))) % 152.04/152.33 (assume @p508 (forall (@list @t1327 @t1326) (=> (= @t1326 tptp.bot_bot_pname_o) (not (_ (_ tptp.member_pname @t1327) @t1326))))) % 152.04/152.33 (assume @p509 (forall (@list @t1328) (= (= (_ tptp.collect_int @t1328) tptp.bot_bot_int_o) (forall @t263 (not (_ @t1328 @t260)))))) % 152.04/152.33 (assume @p510 (forall (@list @t1329) (= (= (_ tptp.collect_nat @t1329) tptp.bot_bot_nat_o) (forall @t259 (not (_ @t1329 @t256)))))) % 152.04/152.33 (assume @p511 (forall (@list @t1330) (= (= (_ tptp.collect_a @t1330) tptp.bot_bot_a_o) (forall @t235 (not (_ @t1330 @t232)))))) % 152.04/152.33 (assume @p512 (forall (@list @t1331) (= (_ (_ tptp.minus_minus_nat_o @t1331) @t1331) tptp.bot_bot_nat_o))) % 152.04/152.33 (assume @p513 (forall (@list @t1332) (= (_ (_ tptp.minus_minus_int_o @t1332) @t1332) tptp.bot_bot_int_o))) % 152.04/152.33 (assume @p514 (forall (@list @t1333) (= (_ (_ tptp.minus_minus_a_o @t1333) @t1333) tptp.bot_bot_a_o))) % 152.04/152.33 (assume @p515 (forall (@list @t1334) (= (_ (_ tptp.minus_minus_nat_o @t1334) tptp.bot_bot_nat_o) @t1334))) % 152.04/152.33 (assume @p516 (forall (@list @t1335) (= (_ (_ tptp.minus_minus_int_o @t1335) tptp.bot_bot_int_o) @t1335))) % 152.04/152.33 (assume @p517 (forall (@list @t1336) (= (_ (_ tptp.minus_minus_a_o @t1336) tptp.bot_bot_a_o) @t1336))) % 152.04/152.33 (assume @p518 (forall (@list @t1337) (not (_ (_ tptp.member_int @t1337) tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p519 (forall (@list @t1338) (not (_ (_ tptp.member_nat @t1338) tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p520 (forall (@list @t1339) (not (_ (_ tptp.member_a @t1339) tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p521 (forall (@list @t1340) (not (_ (_ tptp.member_pname @t1340) tptp.bot_bot_pname_o)))) % 152.04/152.33 (assume @p522 (forall (@list @t1341) (= (= tptp.bot_bot_int_o (_ tptp.collect_int @t1341)) (forall @t263 (not (_ @t1341 @t260)))))) % 152.04/152.33 (assume @p523 (forall (@list @t1342) (= (= tptp.bot_bot_nat_o (_ tptp.collect_nat @t1342)) (forall @t259 (not (_ @t1342 @t256)))))) % 152.04/152.33 (assume @p524 (forall (@list @t1343) (= (= tptp.bot_bot_a_o (_ tptp.collect_a @t1343)) (forall @t235 (not (_ @t1343 @t232)))))) % 152.04/152.33 (assume @p525 (forall (@list @t1344) (= (_ (_ tptp.minus_minus_nat_o tptp.bot_bot_nat_o) @t1344) tptp.bot_bot_nat_o))) % 152.04/152.33 (assume @p526 (forall (@list @t1345) (= (_ (_ tptp.minus_minus_int_o tptp.bot_bot_int_o) @t1345) tptp.bot_bot_int_o))) % 152.04/152.33 (assume @p527 (forall (@list @t1346) (= (_ (_ tptp.minus_minus_a_o tptp.bot_bot_a_o) @t1346) tptp.bot_bot_a_o))) % 152.04/152.33 (assume @p528 (forall (@list @t1347) (= (exists @t263 (_ @t653 @t1347)) (not (= @t1347 tptp.bot_bot_int_o))))) % 152.04/152.33 (assume @p529 (forall (@list @t1348) (= (exists @t259 (_ @t641 @t1348)) (not (= @t1348 tptp.bot_bot_nat_o))))) % 152.04/152.33 (assume @p530 (forall (@list @t1349) (= (exists @t235 (_ @t927 @t1349)) (not (= @t1349 tptp.bot_bot_a_o))))) % 152.04/152.33 (assume @p531 (forall (@list @t1350) (= (exists @t255 (_ @t664 @t1350)) (not (= @t1350 tptp.bot_bot_pname_o))))) % 152.04/152.33 (assume @p532 (forall (@list @t1351) (= (forall @t263 (not (_ @t653 @t1351))) (= @t1351 tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p533 (forall (@list @t1352) (= (forall @t259 (not (_ @t641 @t1352))) (= @t1352 tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p534 (forall (@list @t1353) (= (forall @t235 (not (_ @t927 @t1353))) (= @t1353 tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p535 (forall (@list @t1354) (= (forall @t255 (not (_ @t664 @t1354))) (= @t1354 tptp.bot_bot_pname_o)))) % 152.04/152.33 (assume @p536 (forall (@list @t1355) (= (_ tptp.bot_bot_nat_o @t1355) tptp.bot_bot_o))) % 152.04/152.33 (assume @p537 (forall (@list @t1356) (= (_ tptp.bot_bot_int_o @t1356) tptp.bot_bot_o))) % 152.04/152.33 (assume @p538 (forall (@list @t1357) (= (_ tptp.bot_bot_a_o @t1357) tptp.bot_bot_o))) % 152.04/152.33 (assume @p539 (= tptp.bot_bot_int_o (_ tptp.collect_int (lambda @t263 false)))) % 152.04/152.33 (assume @p540 (= tptp.bot_bot_nat_o (_ tptp.collect_nat (lambda @t259 false)))) % 152.04/152.33 (assume @p541 (= tptp.bot_bot_a_o (_ tptp.collect_a (lambda @t235 false)))) % 152.04/152.33 (assume @p542 (forall @t259 (= (_ tptp.bot_bot_nat_o @t256) tptp.bot_bot_o))) % 152.04/152.33 (assume @p543 (forall @t263 (= (_ tptp.bot_bot_int_o @t260) tptp.bot_bot_o))) % 152.04/152.33 (assume @p544 (forall @t235 (= (_ tptp.bot_bot_a_o @t232) tptp.bot_bot_o))) % 152.04/152.33 (assume @p545 (forall (@list @t1359 @t1358) (=> (_ (_ tptp.member_a @t1359) @t1358) (= (_ @t1360 (_ (_ tptp.minus_minus_a_o @t1358) (_ @t1360 tptp.bot_bot_a_o))) @t1358)))) % 152.04/152.33 (assume @p546 (forall (@list @t1362 @t1361) (=> (_ (_ tptp.member_int @t1362) @t1361) (= (_ @t1363 (_ (_ tptp.minus_minus_int_o @t1361) (_ @t1363 tptp.bot_bot_int_o))) @t1361)))) % 152.04/152.33 (assume @p547 (forall (@list @t1365 @t1364) (=> (_ (_ tptp.member_nat @t1365) @t1364) (= (_ @t1366 (_ (_ tptp.minus_minus_nat_o @t1364) (_ @t1366 tptp.bot_bot_nat_o))) @t1364)))) % 152.04/152.33 (assume @p548 (forall (@list @t1368 @t1367) (=> (_ (_ tptp.member_pname @t1368) @t1367) (= (_ @t1369 (_ (_ tptp.minus_minus_pname_o @t1367) (_ @t1369 tptp.bot_bot_pname_o))) @t1367)))) % 152.04/152.33 (assume @p549 (forall (@list @t1371 @t1370) (=> (not (_ (_ tptp.member_a @t1371) @t1370)) (= (_ (_ tptp.minus_minus_a_o (_ @t1372 @t1370)) (_ @t1372 tptp.bot_bot_a_o)) @t1370)))) % 152.04/152.33 (assume @p550 (forall (@list @t1374 @t1373) (=> (not (_ (_ tptp.member_int @t1374) @t1373)) (= (_ (_ tptp.minus_minus_int_o (_ @t1375 @t1373)) (_ @t1375 tptp.bot_bot_int_o)) @t1373)))) % 152.04/152.33 (assume @p551 (forall (@list @t1377 @t1376) (=> (not (_ (_ tptp.member_nat @t1377) @t1376)) (= (_ (_ tptp.minus_minus_nat_o (_ @t1378 @t1376)) (_ @t1378 tptp.bot_bot_nat_o)) @t1376)))) % 152.04/152.33 (assume @p552 (forall (@list @t1380 @t1379) (=> (not (_ (_ tptp.member_pname @t1380) @t1379)) (= (_ (_ tptp.minus_minus_pname_o (_ @t1381 @t1379)) (_ @t1381 tptp.bot_bot_pname_o)) @t1379)))) % 152.04/152.33 (assume @p553 (forall (@list @t1383 @t1382) (= (_ @t1384 (_ (_ tptp.minus_minus_a_o @t1382) (_ @t1384 tptp.bot_bot_a_o))) (_ @t1384 @t1382)))) % 152.04/152.33 (assume @p554 (forall (@list @t1386 @t1385) (= (_ @t1387 (_ (_ tptp.minus_minus_nat_o @t1385) (_ @t1387 tptp.bot_bot_nat_o))) (_ @t1387 @t1385)))) % 152.04/152.33 (assume @p555 (forall (@list @t1389 @t1388) (= (_ @t1390 (_ (_ tptp.minus_minus_int_o @t1388) (_ @t1390 tptp.bot_bot_int_o))) (_ @t1390 @t1388)))) % 152.04/152.33 (assume @p556 (forall (@list @t1394 @t1392 @t1391) (= (_ @t1395 (_ @t1393 @t1391)) (_ (_ tptp.minus_minus_a_o (_ @t1395 (_ @t1393 tptp.bot_bot_a_o))) @t1391)))) % 152.04/152.33 (assume @p557 (forall (@list @t1399 @t1397 @t1396) (= (_ @t1400 (_ @t1398 @t1396)) (_ (_ tptp.minus_minus_nat_o (_ @t1400 (_ @t1398 tptp.bot_bot_nat_o))) @t1396)))) % 152.04/152.33 (assume @p558 (forall (@list @t1404 @t1402 @t1401) (= (_ @t1405 (_ @t1403 @t1401)) (_ (_ tptp.minus_minus_int_o (_ @t1405 (_ @t1403 tptp.bot_bot_int_o))) @t1401)))) % 152.04/152.33 (assume @p559 (forall (@list @t1409 @t1406 @t1408) (= (_ @t1410 (_ @t1407 @t1408)) (_ (_ tptp.minus_minus_a_o (_ @t1410 @t1408)) (_ @t1407 tptp.bot_bot_a_o))))) % 152.04/152.33 (assume @p560 (forall (@list @t1414 @t1411 @t1413) (= (_ @t1415 (_ @t1412 @t1413)) (_ (_ tptp.minus_minus_nat_o (_ @t1415 @t1413)) (_ @t1412 tptp.bot_bot_nat_o))))) % 152.04/152.33 (assume @p561 (forall (@list @t1419 @t1416 @t1418) (= (_ @t1420 (_ @t1417 @t1418)) (_ (_ tptp.minus_minus_int_o (_ @t1420 @t1418)) (_ @t1417 tptp.bot_bot_int_o))))) % 152.04/152.33 (assume @p562 (forall (@list @t1424 @t1422 @t1421) (=> (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.minus_minus_a_o @t1424) (_ @t1423 tptp.bot_bot_a_o))) @t1421) (=> (_ (_ tptp.member_a @t1422) @t1424) (_ (_ tptp.ord_less_eq_a_o @t1424) (_ @t1423 @t1421)))))) % 152.04/152.33 (assume @p563 (forall (@list @t1428 @t1426 @t1425) (=> (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.minus_minus_int_o @t1428) (_ @t1427 tptp.bot_bot_int_o))) @t1425) (=> (_ (_ tptp.member_int @t1426) @t1428) (_ (_ tptp.ord_less_eq_int_o @t1428) (_ @t1427 @t1425)))))) % 152.04/152.33 (assume @p564 (forall (@list @t1432 @t1430 @t1429) (=> (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.minus_minus_nat_o @t1432) (_ @t1431 tptp.bot_bot_nat_o))) @t1429) (=> (_ (_ tptp.member_nat @t1430) @t1432) (_ (_ tptp.ord_less_eq_nat_o @t1432) (_ @t1431 @t1429)))))) % 152.04/152.33 (assume @p565 (forall (@list @t1436 @t1434 @t1433) (=> (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.minus_minus_pname_o @t1436) (_ @t1435 tptp.bot_bot_pname_o))) @t1433) (=> (_ (_ tptp.member_pname @t1434) @t1436) (_ (_ tptp.ord_less_eq_pname_o @t1436) (_ @t1435 @t1433)))))) % 152.04/152.33 (assume @p566 (forall (@list @t1438 @t1440 @t1437) (= (_ @t1439 (_ @t1442 @t1437)) (and (=> @t1441 (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.minus_minus_a_o @t1438) (_ @t1442 tptp.bot_bot_a_o))) @t1437)) (=> (not @t1441) (_ @t1439 @t1437)))))) % 152.04/152.33 (assume @p567 (forall (@list @t1444 @t1446 @t1443) (= (_ @t1445 (_ @t1448 @t1443)) (and (=> @t1447 (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.minus_minus_int_o @t1444) (_ @t1448 tptp.bot_bot_int_o))) @t1443)) (=> (not @t1447) (_ @t1445 @t1443)))))) % 152.04/152.33 (assume @p568 (forall (@list @t1450 @t1452 @t1449) (= (_ @t1451 (_ @t1454 @t1449)) (and (=> @t1453 (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.minus_minus_nat_o @t1450) (_ @t1454 tptp.bot_bot_nat_o))) @t1449)) (=> (not @t1453) (_ @t1451 @t1449)))))) % 152.04/152.33 (assume @p569 (forall (@list @t1456 @t1458 @t1455) (= (_ @t1457 (_ @t1460 @t1455)) (and (=> @t1459 (_ (_ tptp.ord_less_eq_pname_o (_ (_ tptp.minus_minus_pname_o @t1456) (_ @t1460 tptp.bot_bot_pname_o))) @t1455)) (=> (not @t1459) (_ @t1457 @t1455)))))) % 152.04/152.33 (assume @p570 (forall (@list @t1461 @t1462) (=> (_ tptp.finite_finite_int @t1462) (= (_ tptp.finite_finite_int (_ (_ tptp.minus_minus_int_o @t1461) @t1462)) (_ tptp.finite_finite_int @t1461))))) % 152.04/152.33 (assume @p571 (forall (@list @t1463 @t1464) (=> (_ tptp.finite_finite_nat @t1464) (= (_ tptp.finite_finite_nat (_ (_ tptp.minus_minus_nat_o @t1463) @t1464)) (_ tptp.finite_finite_nat @t1463))))) % 152.04/152.33 (assume @p572 (forall (@list @t1465 @t1466) (=> (_ tptp.finite_finite_pname @t1466) (= (_ tptp.finite_finite_pname (_ (_ tptp.minus_minus_pname_o @t1465) @t1466)) (_ tptp.finite_finite_pname @t1465))))) % 152.04/152.33 (assume @p573 (forall (@list @t1468 @t1469 @t1467) (=> (_ (_ tptp.member_a @t1469) @t1467) (= (_ (_ tptp.minus_minus_a_o (_ (_ tptp.insert_a @t1469) @t1468)) @t1467) (_ (_ tptp.minus_minus_a_o @t1468) @t1467))))) % 152.04/152.33 (assume @p574 (forall (@list @t1471 @t1472 @t1470) (=> (_ (_ tptp.member_int @t1472) @t1470) (= (_ (_ tptp.minus_minus_int_o (_ (_ tptp.insert_int @t1472) @t1471)) @t1470) (_ (_ tptp.minus_minus_int_o @t1471) @t1470))))) % 152.04/152.33 (assume @p575 (forall (@list @t1474 @t1475 @t1473) (=> (_ (_ tptp.member_nat @t1475) @t1473) (= (_ (_ tptp.minus_minus_nat_o (_ (_ tptp.insert_nat @t1475) @t1474)) @t1473) (_ (_ tptp.minus_minus_nat_o @t1474) @t1473))))) % 152.04/152.33 (assume @p576 (forall (@list @t1477 @t1478 @t1476) (=> (_ (_ tptp.member_pname @t1478) @t1476) (= (_ (_ tptp.minus_minus_pname_o (_ (_ tptp.insert_pname @t1478) @t1477)) @t1476) (_ (_ tptp.minus_minus_pname_o @t1477) @t1476))))) % 152.04/152.33 (assume @p577 (forall (@list @t1480 @t1482 @t1479) (and (=> @t1485 (= @t1484 @t1481)) (=> (not @t1485) (= @t1484 (_ @t1483 @t1481)))))) % 152.04/152.33 (assume @p578 (forall (@list @t1487 @t1489 @t1486) (and (=> @t1492 (= @t1491 @t1488)) (=> (not @t1492) (= @t1491 (_ @t1490 @t1488)))))) % 152.04/152.33 (assume @p579 (forall (@list @t1494 @t1496 @t1493) (and (=> @t1499 (= @t1498 @t1495)) (=> (not @t1499) (= @t1498 (_ @t1497 @t1495)))))) % 152.04/152.33 (assume @p580 (forall (@list @t1501 @t1503 @t1500) (and (=> @t1506 (= @t1505 @t1502)) (=> (not @t1506) (= @t1505 (_ @t1504 @t1502)))))) % 152.04/152.33 (assume @p581 (forall (@list @t1508 @t1507 @t1509) (=> (_ (_ tptp.ord_less_eq_int_o @t1507) @t1509) (=> (_ (_ tptp.ord_less_eq_int_o @t1509) @t1508) (= (_ (_ tptp.minus_minus_int_o @t1509) (_ (_ tptp.minus_minus_int_o @t1508) @t1507)) @t1507))))) % 152.04/152.33 (assume @p582 (forall (@list @t1511 @t1510 @t1512) (=> (_ (_ tptp.ord_less_eq_nat_o @t1510) @t1512) (=> (_ (_ tptp.ord_less_eq_nat_o @t1512) @t1511) (= (_ (_ tptp.minus_minus_nat_o @t1512) (_ (_ tptp.minus_minus_nat_o @t1511) @t1510)) @t1510))))) % 152.04/152.33 (assume @p583 (forall (@list @t1514 @t1513 @t1515) (=> (_ (_ tptp.ord_less_eq_a_o @t1513) @t1515) (=> (_ (_ tptp.ord_less_eq_a_o @t1515) @t1514) (= (_ (_ tptp.minus_minus_a_o @t1515) (_ (_ tptp.minus_minus_a_o @t1514) @t1513)) @t1513))))) % 152.04/152.33 (assume @p584 (forall (@list @t1516 @t1518 @t1519 @t1517) (=> (_ (_ tptp.ord_less_eq_int_o @t1519) @t1517) (=> (_ (_ tptp.ord_less_eq_int_o @t1516) @t1518) (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.minus_minus_int_o @t1519) @t1518)) (_ (_ tptp.minus_minus_int_o @t1517) @t1516)))))) % 152.04/152.33 (assume @p585 (forall (@list @t1520 @t1522 @t1523 @t1521) (=> (_ (_ tptp.ord_less_eq_nat_o @t1523) @t1521) (=> (_ (_ tptp.ord_less_eq_nat_o @t1520) @t1522) (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.minus_minus_nat_o @t1523) @t1522)) (_ (_ tptp.minus_minus_nat_o @t1521) @t1520)))))) % 152.04/152.33 (assume @p586 (forall (@list @t1524 @t1526 @t1527 @t1525) (=> (_ (_ tptp.ord_less_eq_a_o @t1527) @t1525) (=> (_ (_ tptp.ord_less_eq_a_o @t1524) @t1526) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.minus_minus_a_o @t1527) @t1526)) (_ (_ tptp.minus_minus_a_o @t1525) @t1524)))))) % 152.04/152.33 (assume @p587 (forall (@list @t1528 @t1529) (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.minus_minus_int_o @t1528) @t1529)) @t1528))) % 152.04/152.33 (assume @p588 (forall (@list @t1530 @t1531) (_ (_ tptp.ord_less_eq_nat_o (_ (_ tptp.minus_minus_nat_o @t1530) @t1531)) @t1530))) % 152.04/152.33 (assume @p589 (forall (@list @t1532 @t1533) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.minus_minus_a_o @t1532) @t1533)) @t1532))) % 152.04/152.33 (assume @p590 (forall (@list @t1535 @t1534) (=> (= (_ (_ tptp.insert_a @t1535) tptp.bot_bot_a_o) (_ (_ tptp.insert_a @t1534) tptp.bot_bot_a_o)) (= @t1535 @t1534)))) % 152.04/152.33 (assume @p591 (forall (@list @t1537 @t1536) (=> (= (_ (_ tptp.insert_nat @t1537) tptp.bot_bot_nat_o) (_ (_ tptp.insert_nat @t1536) tptp.bot_bot_nat_o)) (= @t1537 @t1536)))) % 152.04/152.33 (assume @p592 (forall (@list @t1539 @t1538) (=> (= (_ (_ tptp.insert_int @t1539) tptp.bot_bot_int_o) (_ (_ tptp.insert_int @t1538) tptp.bot_bot_int_o)) (= @t1539 @t1538)))) % 152.04/152.33 (assume @p593 (forall (@list @t1541 @t1540) (=> (_ (_ tptp.member_a @t1541) (_ (_ tptp.insert_a @t1540) tptp.bot_bot_a_o)) (= @t1541 @t1540)))) % 152.04/152.33 (assume @p594 (forall (@list @t1543 @t1542) (=> (_ (_ tptp.member_int @t1543) (_ (_ tptp.insert_int @t1542) tptp.bot_bot_int_o)) (= @t1543 @t1542)))) % 152.04/152.33 (assume @p595 (forall (@list @t1545 @t1544) (=> (_ (_ tptp.member_nat @t1545) (_ (_ tptp.insert_nat @t1544) tptp.bot_bot_nat_o)) (= @t1545 @t1544)))) % 152.04/152.33 (assume @p596 (forall (@list @t1547 @t1546) (=> (_ (_ tptp.member_pname @t1547) (_ (_ tptp.insert_pname @t1546) tptp.bot_bot_pname_o)) (= @t1547 @t1546)))) % 152.04/152.33 (assume @p597 (forall (@list @t1551 @t1549 @t1548 @t1550) (= (= (_ (_ tptp.insert_a @t1551) (_ (_ tptp.insert_a @t1549) tptp.bot_bot_a_o)) (_ (_ tptp.insert_a @t1548) (_ (_ tptp.insert_a @t1550) tptp.bot_bot_a_o))) (or (and (= @t1551 @t1548) (= @t1549 @t1550)) (and (= @t1551 @t1550) (= @t1549 @t1548)))))) % 152.04/152.33 (assume @p598 (forall (@list @t1555 @t1553 @t1552 @t1554) (= (= (_ (_ tptp.insert_nat @t1555) (_ (_ tptp.insert_nat @t1553) tptp.bot_bot_nat_o)) (_ (_ tptp.insert_nat @t1552) (_ (_ tptp.insert_nat @t1554) tptp.bot_bot_nat_o))) (or (and (= @t1555 @t1552) (= @t1553 @t1554)) (and (= @t1555 @t1554) (= @t1553 @t1552)))))) % 152.04/152.33 (assume @p599 (forall (@list @t1559 @t1557 @t1556 @t1558) (= (= (_ (_ tptp.insert_int @t1559) (_ (_ tptp.insert_int @t1557) tptp.bot_bot_int_o)) (_ (_ tptp.insert_int @t1556) (_ (_ tptp.insert_int @t1558) tptp.bot_bot_int_o))) (or (and (= @t1559 @t1556) (= @t1557 @t1558)) (and (= @t1559 @t1558) (= @t1557 @t1556)))))) % 152.04/152.33 (assume @p600 (forall (@list @t1561 @t1560) (= (_ (_ tptp.member_a @t1561) (_ (_ tptp.insert_a @t1560) tptp.bot_bot_a_o)) (= @t1561 @t1560)))) % 152.04/152.33 (assume @p601 (forall (@list @t1563 @t1562) (= (_ (_ tptp.member_int @t1563) (_ (_ tptp.insert_int @t1562) tptp.bot_bot_int_o)) (= @t1563 @t1562)))) % 152.04/152.33 (assume @p602 (forall (@list @t1565 @t1564) (= (_ (_ tptp.member_nat @t1565) (_ (_ tptp.insert_nat @t1564) tptp.bot_bot_nat_o)) (= @t1565 @t1564)))) % 152.04/152.33 (assume @p603 (forall (@list @t1567 @t1566) (= (_ (_ tptp.member_pname @t1567) (_ (_ tptp.insert_pname @t1566) tptp.bot_bot_pname_o)) (= @t1567 @t1566)))) % 152.04/152.33 (assume @p604 (forall (@list @t1569 @t1568) (not (= (_ (_ tptp.insert_a @t1569) @t1568) tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p605 (forall (@list @t1571 @t1570) (not (= (_ (_ tptp.insert_nat @t1571) @t1570) tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p606 (forall (@list @t1573 @t1572) (not (= (_ (_ tptp.insert_int @t1573) @t1572) tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p607 (forall (@list @t1575 @t1574) (not (= tptp.bot_bot_a_o (_ (_ tptp.insert_a @t1575) @t1574))))) % 152.04/152.33 (assume @p608 (forall (@list @t1577 @t1576) (not (= tptp.bot_bot_nat_o (_ (_ tptp.insert_nat @t1577) @t1576))))) % 152.04/152.33 (assume @p609 (forall (@list @t1579 @t1578) (not (= tptp.bot_bot_int_o (_ (_ tptp.insert_int @t1579) @t1578))))) % 152.04/152.33 (assume @p610 (forall (@list @t1580) (= (_ (_ tptp.ord_less_eq_nat_o @t1580) tptp.bot_bot_nat_o) (= @t1580 tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p611 (forall (@list @t1581) (= (_ (_ tptp.ord_less_eq_int_o @t1581) tptp.bot_bot_int_o) (= @t1581 tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p612 (forall (@list @t1582) (= (_ (_ tptp.ord_less_eq_a_o @t1582) tptp.bot_bot_a_o) (= @t1582 tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p613 (forall (@list @t1584 @t1583) (= (= (_ (_ tptp.image_nat_int @t1584) @t1583) tptp.bot_bot_int_o) (= @t1583 tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p614 (forall (@list @t1586 @t1585) (= (= (_ (_ tptp.image_pname_a @t1586) @t1585) tptp.bot_bot_a_o) (= @t1585 tptp.bot_bot_pname_o)))) % 152.04/152.33 (assume @p615 (forall (@list @t1587) (= (_ (_ tptp.image_nat_int @t1587) tptp.bot_bot_nat_o) tptp.bot_bot_int_o))) % 152.04/152.33 (assume @p616 (forall (@list @t1588) (= (_ (_ tptp.image_pname_a @t1588) tptp.bot_bot_pname_o) tptp.bot_bot_a_o))) % 152.04/152.33 (assume @p617 (forall (@list @t1590 @t1589) (= (= tptp.bot_bot_int_o (_ (_ tptp.image_nat_int @t1590) @t1589)) (= @t1589 tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p618 (forall (@list @t1592 @t1591) (= (= tptp.bot_bot_a_o (_ (_ tptp.image_pname_a @t1592) @t1591)) (= @t1591 tptp.bot_bot_pname_o)))) % 152.04/152.33 (assume @p619 (forall (@list @t1593) (=> (_ (_ tptp.ord_less_eq_nat_o @t1593) tptp.bot_bot_nat_o) (= @t1593 tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p620 (forall (@list @t1594) (=> (_ (_ tptp.ord_less_eq_int_o @t1594) tptp.bot_bot_int_o) (= @t1594 tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p621 (forall (@list @t1595) (=> (_ (_ tptp.ord_less_eq_nat @t1595) tptp.bot_bot_nat) (= @t1595 tptp.bot_bot_nat)))) % 152.04/152.33 (assume @p622 (forall (@list @t1596) (=> (_ (_ tptp.ord_less_eq_a_o @t1596) tptp.bot_bot_a_o) (= @t1596 tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p623 (forall (@list @t1597) (= (_ (_ tptp.ord_less_eq_nat_o @t1597) tptp.bot_bot_nat_o) (= @t1597 tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p624 (forall (@list @t1598) (= (_ (_ tptp.ord_less_eq_int_o @t1598) tptp.bot_bot_int_o) (= @t1598 tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p625 (forall (@list @t1599) (= (_ (_ tptp.ord_less_eq_nat @t1599) tptp.bot_bot_nat) (= @t1599 tptp.bot_bot_nat)))) % 152.04/152.33 (assume @p626 (forall (@list @t1600) (= (_ (_ tptp.ord_less_eq_a_o @t1600) tptp.bot_bot_a_o) (= @t1600 tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p627 (forall (@list @t1601) (_ @t1315 @t1601))) % 152.04/152.33 (assume @p628 (forall (@list @t1602) (_ @t1317 @t1602))) % 152.04/152.33 (assume @p629 (forall (@list @t1603) (_ (_ tptp.ord_less_eq_nat tptp.bot_bot_nat) @t1603))) % 152.04/152.33 (assume @p630 (forall (@list @t1604) (_ @t1319 @t1604))) % 152.04/152.33 (assume @p631 (forall (@list @t1605 @t1606) (and (=> @t1608 (= @t1607 (_ (_ tptp.insert_a @t1606) tptp.bot_bot_a_o))) (=> (not @t1608) (= @t1607 tptp.bot_bot_a_o))))) % 152.04/152.33 (assume @p632 (forall (@list @t1609 @t1610) (and (=> @t1612 (= @t1611 (_ (_ tptp.insert_int @t1610) tptp.bot_bot_int_o))) (=> (not @t1612) (= @t1611 tptp.bot_bot_int_o))))) % 152.04/152.33 (assume @p633 (forall (@list @t1613 @t1614) (and (=> @t1616 (= @t1615 (_ (_ tptp.insert_nat @t1614) tptp.bot_bot_nat_o))) (=> (not @t1616) (= @t1615 tptp.bot_bot_nat_o))))) % 152.04/152.33 (assume @p634 (forall (@list @t1617 @t1618) (and (=> @t1620 (= @t1619 (_ (_ tptp.insert_a @t1618) tptp.bot_bot_a_o))) (=> (not @t1620) (= @t1619 tptp.bot_bot_a_o))))) % 152.04/152.33 (assume @p635 (forall (@list @t1621 @t1622) (and (=> @t1624 (= @t1623 (_ (_ tptp.insert_int @t1622) tptp.bot_bot_int_o))) (=> (not @t1624) (= @t1623 tptp.bot_bot_int_o))))) % 152.04/152.33 (assume @p636 (forall (@list @t1625 @t1626) (and (=> @t1628 (= @t1627 (_ (_ tptp.insert_nat @t1626) tptp.bot_bot_nat_o))) (=> (not @t1628) (= @t1627 tptp.bot_bot_nat_o))))) % 152.04/152.33 (assume @p637 (forall (@list @t1629) (= (_ tptp.collect_a (lambda @t235 (= @t232 @t1629))) (_ (_ tptp.insert_a @t1629) tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p638 (forall (@list @t1630) (= (_ tptp.collect_int (lambda @t263 (= @t260 @t1630))) (_ (_ tptp.insert_int @t1630) tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p639 (forall (@list @t1631) (= (_ tptp.collect_nat (lambda @t259 (= @t256 @t1631))) (_ (_ tptp.insert_nat @t1631) tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p640 (forall (@list @t1632) (= (_ tptp.collect_a (_ tptp.fequal_a @t1632)) (_ (_ tptp.insert_a @t1632) tptp.bot_bot_a_o)))) % 152.04/152.33 (assume @p641 (forall (@list @t1633) (= (_ tptp.collect_int (_ tptp.fequal_int @t1633)) (_ (_ tptp.insert_int @t1633) tptp.bot_bot_int_o)))) % 152.04/152.33 (assume @p642 (forall (@list @t1634) (= (_ tptp.collect_nat (_ tptp.fequal_nat @t1634)) (_ (_ tptp.insert_nat @t1634) tptp.bot_bot_nat_o)))) % 152.04/152.33 (assume @p643 (forall (@list @t1636 @t1635) (=> (_ tptp.finite_finite_a @t1635) (=> (_ (_ tptp.member_a @t1636) @t1635) (= (_ tptp.suc (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1635) (_ (_ tptp.insert_a @t1636) tptp.bot_bot_a_o)))) (_ tptp.finite_card_a @t1635)))))) % 152.04/152.33 (assume @p644 (forall (@list @t1638 @t1637) (=> (_ tptp.finite_finite_int @t1637) (=> (_ (_ tptp.member_int @t1638) @t1637) (= (_ tptp.suc (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1637) (_ (_ tptp.insert_int @t1638) tptp.bot_bot_int_o)))) (_ tptp.finite_card_int @t1637)))))) % 152.04/152.33 (assume @p645 (forall (@list @t1640 @t1639) (=> (_ tptp.finite_finite_nat @t1639) (=> (_ (_ tptp.member_nat @t1640) @t1639) (= (_ tptp.suc (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1639) (_ (_ tptp.insert_nat @t1640) tptp.bot_bot_nat_o)))) (_ tptp.finite_card_nat @t1639)))))) % 152.04/152.33 (assume @p646 (forall (@list @t1642 @t1641) (=> (_ tptp.finite_finite_pname @t1641) (=> (_ (_ tptp.member_pname @t1642) @t1641) (= (_ tptp.suc (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1641) (_ (_ tptp.insert_pname @t1642) tptp.bot_bot_pname_o)))) (_ tptp.finite_card_pname @t1641)))))) % 152.04/152.33 (assume @p647 (forall (@list @t1643 @t1645) (=> (_ tptp.finite_finite_a @t1645) (= (_ tptp.finite_card_a (_ @t1644 @t1645)) (_ tptp.suc (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1645) (_ @t1644 tptp.bot_bot_a_o)))))))) % 152.04/152.33 (assume @p648 (forall (@list @t1646 @t1648) (=> (_ tptp.finite_finite_int @t1648) (= (_ tptp.finite_card_int (_ @t1647 @t1648)) (_ tptp.suc (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1648) (_ @t1647 tptp.bot_bot_int_o)))))))) % 152.04/152.33 (assume @p649 (forall (@list @t1649 @t1651) (=> (_ tptp.finite_finite_nat @t1651) (= (_ tptp.finite_card_nat (_ @t1650 @t1651)) (_ tptp.suc (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1651) (_ @t1650 tptp.bot_bot_nat_o)))))))) % 152.04/152.33 (assume @p650 (forall (@list @t1652 @t1654) (=> (_ tptp.finite_finite_pname @t1654) (= (_ tptp.finite_card_pname (_ @t1653 @t1654)) (_ tptp.suc (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1654) (_ @t1653 tptp.bot_bot_pname_o)))))))) % 152.04/152.33 (assume @p651 (forall (@list @t1656 @t1655) (=> (_ tptp.finite_finite_a @t1655) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1655) (_ (_ tptp.insert_a @t1656) tptp.bot_bot_a_o)))) (_ tptp.finite_card_a @t1655))))) % 152.04/152.33 (assume @p652 (forall (@list @t1658 @t1657) (=> (_ tptp.finite_finite_int @t1657) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1657) (_ (_ tptp.insert_int @t1658) tptp.bot_bot_int_o)))) (_ tptp.finite_card_int @t1657))))) % 152.04/152.33 (assume @p653 (forall (@list @t1660 @t1659) (=> (_ tptp.finite_finite_nat @t1659) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1659) (_ (_ tptp.insert_nat @t1660) tptp.bot_bot_nat_o)))) (_ tptp.finite_card_nat @t1659))))) % 152.04/152.33 (assume @p654 (forall (@list @t1662 @t1661) (=> (_ tptp.finite_finite_pname @t1661) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1661) (_ (_ tptp.insert_pname @t1662) tptp.bot_bot_pname_o)))) (_ tptp.finite_card_pname @t1661))))) % 152.04/152.33 (assume @p655 (forall (@list @t1664 @t1666 @t1663) (= (_ tptp.finite_finite_a (_ @t1665 (_ (_ tptp.insert_a @t1666) @t1663))) (_ tptp.finite_finite_a (_ @t1665 @t1663))))) % 152.04/152.33 (assume @p656 (forall (@list @t1668 @t1670 @t1667) (= (_ tptp.finite_finite_int (_ @t1669 (_ (_ tptp.insert_int @t1670) @t1667))) (_ tptp.finite_finite_int (_ @t1669 @t1667))))) % 152.04/152.33 (assume @p657 (forall (@list @t1672 @t1674 @t1671) (= (_ tptp.finite_finite_nat (_ @t1673 (_ (_ tptp.insert_nat @t1674) @t1671))) (_ tptp.finite_finite_nat (_ @t1673 @t1671))))) % 152.04/152.33 (assume @p658 (forall (@list @t1676 @t1678 @t1675) (= (_ tptp.finite_finite_pname (_ @t1677 (_ (_ tptp.insert_pname @t1678) @t1675))) (_ tptp.finite_finite_pname (_ @t1677 @t1675))))) % 152.04/152.33 (assume @p659 (forall (@list @t1681 @t1680 @t1679) (_ (_ tptp.ord_less_eq_int_o (_ (_ tptp.minus_minus_int_o (_ @t1682 @t1680)) (_ @t1682 @t1679))) (_ @t1682 (_ (_ tptp.minus_minus_nat_o @t1680) @t1679))))) % 152.04/152.33 (assume @p660 (forall (@list @t1685 @t1684 @t1683) (_ (_ tptp.ord_less_eq_a_o (_ (_ tptp.minus_minus_a_o (_ @t1686 @t1684)) (_ @t1686 @t1683))) (_ @t1686 (_ (_ tptp.minus_minus_pname_o @t1684) @t1683))))) % 152.04/152.33 (assume @p661 (forall (@list @t1689 @t1687) (=> (_ (_ tptp.ord_less_eq_a_o @t1689) @t1688) (or (= @t1689 tptp.bot_bot_a_o) (= @t1689 @t1688))))) % 152.04/152.33 (assume @p662 (forall (@list @t1692 @t1690) (=> (_ (_ tptp.ord_less_eq_nat_o @t1692) @t1691) (or (= @t1692 tptp.bot_bot_nat_o) (= @t1692 @t1691))))) % 152.04/152.33 (assume @p663 (forall (@list @t1695 @t1693) (=> (_ (_ tptp.ord_less_eq_int_o @t1695) @t1694) (or (= @t1695 tptp.bot_bot_int_o) (= @t1695 @t1694))))) % 152.04/152.33 (assume @p664 (forall (@list @t1699 @t1697 @t1696) (= (_ (_ (_ tptp.nat_case_nat @t1699) @t1697) @t1698) (_ @t1697 @t1696)))) % 152.04/152.33 (assume @p665 (forall (@list @t1701 @t1700 @t1696) (= (_ (_ (_ tptp.nat_case_o @t1701) @t1700) @t1698) (_ @t1700 @t1696)))) % 152.04/152.33 (assume @p666 (forall (@list @t1702 @t1704 @t1703) (=> (_ (_ tptp.member_nat @t1704) @t1703) (= (_ (_ tptp.image_nat_int (lambda @t259 @t1702)) @t1703) (_ (_ tptp.insert_int @t1702) tptp.bot_bot_int_o))))) % 152.04/152.33 (assume @p667 (forall (@list @t1705 @t1707 @t1706) (=> (_ (_ tptp.member_pname @t1707) @t1706) (= (_ (_ tptp.image_pname_a (lambda @t255 @t1705)) @t1706) (_ (_ tptp.insert_a @t1705) tptp.bot_bot_a_o))))) % 152.04/152.33 (assume @p668 (forall (@list @t1708 @t1709) (and (=> @t1711 (= @t1710 tptp.bot_bot_int_o)) (=> (not @t1711) (= @t1710 (_ (_ tptp.insert_int @t1708) tptp.bot_bot_int_o)))))) % 152.04/152.33 (assume @p669 (forall (@list @t1712 @t1713) (and (=> @t1715 (= @t1714 tptp.bot_bot_a_o)) (=> (not @t1715) (= @t1714 (_ (_ tptp.insert_a @t1712) tptp.bot_bot_a_o)))))) % 152.04/152.33 (assume @p670 (forall (@list @t1719 @t1718 @t1717 @t1716) (=> (= (_ (_ tptp.minus_minus_int @t1719) @t1718) (_ (_ tptp.minus_minus_int @t1717) @t1716)) (= (= @t1719 @t1718) (= @t1717 @t1716))))) % 152.04/152.33 (assume @p671 (forall (@list @t1721 @t1720) (=> (_ tptp.finite_finite_int @t1720) (=> (_ (_ tptp.ord_less_eq_int_o @t1720) @t1721) (= (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1721) @t1720)) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_int @t1721)) (_ tptp.finite_card_int @t1720))))))) % 152.04/152.33 (assume @p672 (forall (@list @t1723 @t1722) (=> (_ tptp.finite_finite_nat @t1722) (=> (_ (_ tptp.ord_less_eq_nat_o @t1722) @t1723) (= (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1723) @t1722)) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_nat @t1723)) (_ tptp.finite_card_nat @t1722))))))) % 152.04/152.33 (assume @p673 (forall (@list @t1725 @t1724) (=> (_ tptp.finite_finite_a @t1724) (=> (_ (_ tptp.ord_less_eq_a_o @t1724) @t1725) (= (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1725) @t1724)) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_a @t1725)) (_ tptp.finite_card_a @t1724))))))) % 152.04/152.33 (assume @p674 (forall (@list @t1727 @t1726) (=> (_ tptp.finite_finite_pname @t1726) (=> (_ (_ tptp.ord_less_eq_pname_o @t1726) @t1727) (= (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1727) @t1726)) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_pname @t1727)) (_ tptp.finite_card_pname @t1726))))))) % 152.04/152.33 (assume @p675 (forall (@list @t1729 @t1728) (=> (_ tptp.finite_finite_int @t1728) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_int @t1729)) (_ tptp.finite_card_int @t1728))) (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1729) @t1728)))))) % 152.04/152.33 (assume @p676 (forall (@list @t1731 @t1730) (=> (_ tptp.finite_finite_nat @t1730) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_nat @t1731)) (_ tptp.finite_card_nat @t1730))) (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1731) @t1730)))))) % 152.04/152.33 (assume @p677 (forall (@list @t1733 @t1732) (=> (_ tptp.finite_finite_a @t1732) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_a @t1733)) (_ tptp.finite_card_a @t1732))) (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1733) @t1732)))))) % 152.04/152.33 (assume @p678 (forall (@list @t1735 @t1734) (=> (_ tptp.finite_finite_pname @t1734) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_pname @t1735)) (_ tptp.finite_card_pname @t1734))) (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1735) @t1734)))))) % 152.04/152.33 (assume @p679 (forall (@list @t1737 @t1742 @t1736) (=> (_ tptp.finite_finite_a @t1736) (=> (_ (_ tptp.ord_less_eq_a_o @t1736) @t1742) (=> (_ @t1737 tptp.bot_bot_a_o) (=> (forall (@list @t1739 @t1738) (=> @t1743 (=> (_ @t1741 @t1742) (=> (not (_ @t1741 @t1738)) (=> (_ @t1737 @t1738) (_ @t1737 (_ @t1740 @t1738))))))) (_ @t1737 @t1736))))))) % 152.04/152.33 (assume @p680 (forall (@list @t1745 @t1748 @t1744) (=> (_ tptp.finite_finite_int @t1744) (=> (_ (_ tptp.ord_less_eq_int_o @t1744) @t1748) (=> (_ @t1745 tptp.bot_bot_int_o) (=> (forall (@list @t648 @t1746) (=> @t1749 (=> (_ @t650 @t1748) (=> (not (_ @t650 @t1746)) (=> (_ @t1745 @t1746) (_ @t1745 (_ @t1747 @t1746))))))) (_ @t1745 @t1744))))))) % 152.04/152.33 (assume @p681 (forall (@list @t1751 @t1754 @t1750) (=> (_ tptp.finite_finite_nat @t1750) (=> (_ (_ tptp.ord_less_eq_nat_o @t1750) @t1754) (=> (_ @t1751 tptp.bot_bot_nat_o) (=> (forall (@list @t636 @t1752) (=> @t1755 (=> (_ @t638 @t1754) (=> (not (_ @t638 @t1752)) (=> (_ @t1751 @t1752) (_ @t1751 (_ @t1753 @t1752))))))) (_ @t1751 @t1750))))))) % 152.04/152.33 (assume @p682 (forall (@list @t1757 @t1760 @t1756) (=> (_ tptp.finite_finite_pname @t1756) (=> (_ (_ tptp.ord_less_eq_pname_o @t1756) @t1760) (=> (_ @t1757 tptp.bot_bot_pname_o) (=> (forall (@list @t661 @t1758) (=> @t1761 (=> (_ @t663 @t1760) (=> (not (_ @t663 @t1758)) (=> (_ @t1757 @t1758) (_ @t1757 (_ @t1759 @t1758))))))) (_ @t1757 @t1756))))))) % 152.04/152.33 (assume @p683 (forall (@list @t1762 @t2) (=> (_ (_ tptp.p (_ @t1763 @t2)) (_ (_ tptp.insert_a (_ tptp.mgt @t1764)) tptp.bot_bot_a_o)) (_ @t3 (_ @t1763 tptp.bot_bot_a_o))))) % 152.04/152.33 (assume @p684 (forall (@list @t1765 @t1768) (=> (_ tptp.finite_finite_a @t1768) (=> (_ @t1765 @t1768) (=> (forall (@list @t1739 @t1766) (=> @t1767 (=> (_ @t1741 @t1766) (=> (_ @t1765 @t1766) (_ @t1765 (_ (_ tptp.minus_minus_a_o @t1766) (_ @t1740 tptp.bot_bot_a_o))))))) (_ @t1765 tptp.bot_bot_a_o)))))) % 152.04/152.33 (assume @p685 (forall (@list @t1769 @t1772) (=> (_ tptp.finite_finite_int @t1772) (=> (_ @t1769 @t1772) (=> (forall (@list @t648 @t1770) (=> @t1771 (=> (_ @t650 @t1770) (=> (_ @t1769 @t1770) (_ @t1769 (_ (_ tptp.minus_minus_int_o @t1770) (_ @t1747 tptp.bot_bot_int_o))))))) (_ @t1769 tptp.bot_bot_int_o)))))) % 152.04/152.33 (assume @p686 (forall (@list @t1773 @t1776) (=> (_ tptp.finite_finite_nat @t1776) (=> (_ @t1773 @t1776) (=> (forall (@list @t636 @t1774) (=> @t1775 (=> (_ @t638 @t1774) (=> (_ @t1773 @t1774) (_ @t1773 (_ (_ tptp.minus_minus_nat_o @t1774) (_ @t1753 tptp.bot_bot_nat_o))))))) (_ @t1773 tptp.bot_bot_nat_o)))))) % 152.04/152.33 (assume @p687 (forall (@list @t1777 @t1780) (=> (_ tptp.finite_finite_pname @t1780) (=> (_ @t1777 @t1780) (=> (forall (@list @t661 @t1778) (=> @t1779 (=> (_ @t663 @t1778) (=> (_ @t1777 @t1778) (_ @t1777 (_ (_ tptp.minus_minus_pname_o @t1778) (_ @t1759 tptp.bot_bot_pname_o))))))) (_ @t1777 tptp.bot_bot_pname_o)))))) % 152.04/152.33 (assume @p688 (forall (@list @t1782 @t1781) (=> (_ tptp.finite_finite_a @t1781) (=> (_ @t1782 tptp.bot_bot_a_o) (=> (forall @t1785 (=> @t1743 (=> @t1784 (=> (_ @t1782 @t1738) (_ @t1782 @t1783))))) (_ @t1782 @t1781)))))) % 152.04/152.33 (assume @p689 (forall (@list @t1787 @t1786) (=> (_ tptp.finite_finite_int @t1786) (=> (_ @t1787 tptp.bot_bot_int_o) (=> (forall @t1790 (=> @t1749 (=> @t1789 (=> (_ @t1787 @t1746) (_ @t1787 @t1788))))) (_ @t1787 @t1786)))))) % 152.04/152.33 (assume @p690 (forall (@list @t1792 @t1791) (=> (_ tptp.finite_finite_nat @t1791) (=> (_ @t1792 tptp.bot_bot_nat_o) (=> (forall @t1795 (=> @t1755 (=> @t1794 (=> (_ @t1792 @t1752) (_ @t1792 @t1793))))) (_ @t1792 @t1791)))))) % 152.04/152.33 (assume @p691 (forall (@list @t1797 @t1796) (=> (_ tptp.finite_finite_pname @t1796) (=> (_ @t1797 tptp.bot_bot_pname_o) (=> (forall @t1800 (=> @t1761 (=> @t1799 (=> (_ @t1797 @t1758) (_ @t1797 @t1798))))) (_ @t1797 @t1796)))))) % 152.04/152.33 (assume @p692 (forall (@list @t1801) (= (_ tptp.finite_finite_a @t1801) (or (= @t1801 tptp.bot_bot_a_o) (exists (@list @t1766 @t1739) (and (= @t1801 (_ @t1740 @t1766)) @t1767)))))) % 152.04/152.33 (assume @p693 (forall (@list @t1802) (= (_ tptp.finite_finite_int @t1802) (or (= @t1802 tptp.bot_bot_int_o) (exists (@list @t1770 @t648) (and (= @t1802 (_ @t1747 @t1770)) @t1771)))))) % 152.04/152.33 (assume @p694 (forall (@list @t1803) (= (_ tptp.finite_finite_nat @t1803) (or (= @t1803 tptp.bot_bot_nat_o) (exists (@list @t1774 @t636) (and (= @t1803 (_ @t1753 @t1774)) @t1775)))))) % 152.04/152.33 (assume @p695 (forall (@list @t1804) (= (_ tptp.finite_finite_pname @t1804) (or (= @t1804 tptp.bot_bot_pname_o) (exists (@list @t1778 @t661) (and (= @t1804 (_ @t1759 @t1778)) @t1779)))))) % 152.04/152.33 (assume @p696 (forall (@list @t1805 @t1806) (=> (forall @t277 (_ @t276 @t1807)) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t277 (_ (_ tptp.ord_less_eq_nat @t1807) @t1805))))))) % 152.04/152.33 (assume @p697 (forall (@list @t1808) (= (_ tptp.the_elem_a (_ (_ tptp.insert_a @t1808) tptp.bot_bot_a_o)) @t1808))) % 152.04/152.33 (assume @p698 (forall (@list @t1809) (= (_ tptp.the_elem_nat (_ (_ tptp.insert_nat @t1809) tptp.bot_bot_nat_o)) @t1809))) % 152.04/152.33 (assume @p699 (forall (@list @t1810) (= (_ tptp.the_elem_int (_ (_ tptp.insert_int @t1810) tptp.bot_bot_int_o)) @t1810))) % 152.04/152.33 (assume @p700 (forall (@list @t1811) (= (not (= @t1811 tptp.bot_bot_a_o)) (exists (@list @t232 @t13) (and (= @t1811 (_ @t1135 @t13)) (not (_ @t927 @t13))))))) % 152.04/152.33 (assume @p701 (forall (@list @t1812) (= (not (= @t1812 tptp.bot_bot_int_o)) (exists (@list @t260 @t19) (and (= @t1812 (_ @t1138 @t19)) (not (_ @t653 @t19))))))) % 152.04/152.33 (assume @p702 (forall (@list @t1813) (= (not (= @t1813 tptp.bot_bot_nat_o)) (exists (@list @t256 @t17) (and (= @t1813 (_ @t1141 @t17)) (not (_ @t641 @t17))))))) % 152.04/152.33 (assume @p703 (forall (@list @t1814) (= (not (= @t1814 tptp.bot_bot_pname_o)) (exists (@list @t252 @t15) (and (= @t1814 (_ @t1144 @t15)) (not (_ @t664 @t15))))))) % 152.04/152.33 (assume @p704 (forall (@list @t1762) (=> (_ (_ tptp.member_pname @t1762) tptp.u) (_ tptp.wt @t1764)))) % 152.04/152.33 (assume @p705 (forall (@list @t1816 @t1818 @t1815) (=> (_ @t1817 (_ (_ tptp.minus_minus_int_o @t1818) @t1815)) (not (=> (_ @t1817 @t1818) (_ @t1817 @t1815)))))) % 152.04/152.33 (assume @p706 (forall (@list @t1820 @t1822 @t1819) (=> (_ @t1821 (_ (_ tptp.minus_minus_nat_o @t1822) @t1819)) (not (=> (_ @t1821 @t1822) (_ @t1821 @t1819)))))) % 152.04/152.33 (assume @p707 (forall (@list @t1824 @t1826 @t1823) (=> (_ @t1825 (_ (_ tptp.minus_minus_a_o @t1826) @t1823)) (not (=> (_ @t1825 @t1826) (_ @t1825 @t1823)))))) % 152.04/152.33 (assume @p708 (forall (@list @t1828 @t1830 @t1827) (=> (_ @t1829 (_ (_ tptp.minus_minus_pname_o @t1830) @t1827)) (not (=> (_ @t1829 @t1830) (_ @t1829 @t1827)))))) % 152.04/152.33 (assume @p709 (forall (@list @t1831 @t1833 @t1832) (=> (_ @t1834 @t1832) (=> (not (_ @t1834 @t1831)) (_ @t1834 (_ (_ tptp.minus_minus_int_o @t1832) @t1831)))))) % 152.04/152.33 (assume @p710 (forall (@list @t1835 @t1837 @t1836) (=> (_ @t1838 @t1836) (=> (not (_ @t1838 @t1835)) (_ @t1838 (_ (_ tptp.minus_minus_nat_o @t1836) @t1835)))))) % 152.04/152.33 (assume @p711 (forall (@list @t1839 @t1841 @t1840) (=> (_ @t1842 @t1840) (=> (not (_ @t1842 @t1839)) (_ @t1842 (_ (_ tptp.minus_minus_a_o @t1840) @t1839)))))) % 152.04/152.33 (assume @p712 (forall (@list @t1843 @t1845 @t1844) (=> (_ @t1846 @t1844) (=> (not (_ @t1846 @t1843)) (_ @t1846 (_ (_ tptp.minus_minus_pname_o @t1844) @t1843)))))) % 152.04/152.33 (assume @p713 (forall (@list @t1848 @t1850 @t1847) (=> (_ @t1849 (_ (_ tptp.minus_minus_int_o @t1850) @t1847)) (not (_ @t1849 @t1847))))) % 152.04/152.33 (assume @p714 (forall (@list @t1852 @t1854 @t1851) (=> (_ @t1853 (_ (_ tptp.minus_minus_nat_o @t1854) @t1851)) (not (_ @t1853 @t1851))))) % 152.04/152.33 (assume @p715 (forall (@list @t1856 @t1858 @t1855) (=> (_ @t1857 (_ (_ tptp.minus_minus_a_o @t1858) @t1855)) (not (_ @t1857 @t1855))))) % 152.04/152.33 (assume @p716 (forall (@list @t1860 @t1862 @t1859) (=> (_ @t1861 (_ (_ tptp.minus_minus_pname_o @t1862) @t1859)) (not (_ @t1861 @t1859))))) % 152.04/152.33 (assume @p717 (forall (@list @t1864 @t1863 @t1866) (=> (_ @t1865 (_ (_ tptp.minus_minus_int_o @t1863) @t1866)) (_ @t1865 @t1863)))) % 152.04/152.33 (assume @p718 (forall (@list @t1868 @t1867 @t1870) (=> (_ @t1869 (_ (_ tptp.minus_minus_nat_o @t1867) @t1870)) (_ @t1869 @t1867)))) % 152.04/152.33 (assume @p719 (forall (@list @t1872 @t1871 @t1874) (=> (_ @t1873 (_ (_ tptp.minus_minus_a_o @t1871) @t1874)) (_ @t1873 @t1871)))) % 152.04/152.33 (assume @p720 (forall (@list @t1876 @t1875 @t1878) (=> (_ @t1877 (_ (_ tptp.minus_minus_pname_o @t1875) @t1878)) (_ @t1877 @t1875)))) % 152.04/152.33 (assume @p721 (forall (@list @t1880 @t1882 @t1879) (= (_ @t1881 (_ (_ tptp.minus_minus_int_o @t1882) @t1879)) (and (_ @t1881 @t1882) (not (_ @t1881 @t1879)))))) % 152.04/152.33 (assume @p722 (forall (@list @t1884 @t1886 @t1883) (= (_ @t1885 (_ (_ tptp.minus_minus_nat_o @t1886) @t1883)) (and (_ @t1885 @t1886) (not (_ @t1885 @t1883)))))) % 152.04/152.33 (assume @p723 (forall (@list @t1888 @t1890 @t1887) (= (_ @t1889 (_ (_ tptp.minus_minus_a_o @t1890) @t1887)) (and (_ @t1889 @t1890) (not (_ @t1889 @t1887)))))) % 152.04/152.33 (assume @p724 (forall (@list @t1892 @t1894 @t1891) (= (_ @t1893 (_ (_ tptp.minus_minus_pname_o @t1894) @t1891)) (and (_ @t1893 @t1894) (not (_ @t1893 @t1891)))))) % 152.04/152.33 (assume @p725 (forall (@list @t1896 @t1895) (= (_ (_ tptp.minus_minus_int_o @t1896) @t1895) (_ tptp.collect_int (lambda @t263 (and (_ @t653 @t1896) (not (_ @t653 @t1895)))))))) % 152.04/152.33 (assume @p726 (forall (@list @t1898 @t1897) (= (_ (_ tptp.minus_minus_nat_o @t1898) @t1897) (_ tptp.collect_nat (lambda @t259 (and (_ @t641 @t1898) (not (_ @t641 @t1897)))))))) % 152.04/152.33 (assume @p727 (forall (@list @t1900 @t1899) (= (_ (_ tptp.minus_minus_a_o @t1900) @t1899) (_ tptp.collect_a (lambda @t235 (and (_ @t927 @t1900) (not (_ @t927 @t1899)))))))) % 152.04/152.33 (assume @p728 (forall (@list @t1902 @t1901) (= (_ (_ tptp.minus_minus_pname_o @t1902) @t1901) (_ tptp.collect_pname (lambda @t255 (and (_ @t664 @t1902) (not (_ @t664 @t1901)))))))) % 152.04/152.33 (assume @p729 (forall (@list @t1903 @t1905 @t1908 @t1907) (=> (_ (_ tptp.finite_folding_one_a @t1908) @t1907) (=> (_ tptp.finite_finite_a @t1905) (and (=> @t1910 (= @t1909 @t1903)) (=> (not @t1910) (= @t1909 (_ (_ @t1908 @t1903) (_ @t1907 @t1906))))))))) % 152.04/152.33 (assume @p730 (forall (@list @t1911 @t1913 @t1916 @t1915) (=> (_ (_ tptp.finite1626084323ne_int @t1916) @t1915) (=> (_ tptp.finite_finite_int @t1913) (and (=> @t1918 (= @t1917 @t1911)) (=> (not @t1918) (= @t1917 (_ (_ @t1916 @t1911) (_ @t1915 @t1914))))))))) % 152.04/152.33 (assume @p731 (forall (@list @t1919 @t1921 @t1924 @t1923) (=> (_ (_ tptp.finite988810631ne_nat @t1924) @t1923) (=> (_ tptp.finite_finite_nat @t1921) (and (=> @t1926 (= @t1925 @t1919)) (=> (not @t1926) (= @t1925 (_ (_ @t1924 @t1919) (_ @t1923 @t1922))))))))) % 152.04/152.33 (assume @p732 (forall (@list @t1927 @t1929 @t1932 @t1931) (=> (_ (_ tptp.finite1282449217_pname @t1932) @t1931) (=> (_ tptp.finite_finite_pname @t1929) (and (=> @t1934 (= @t1933 @t1927)) (=> (not @t1934) (= @t1933 (_ (_ @t1932 @t1927) (_ @t1931 @t1930))))))))) % 152.04/152.33 (assume @p733 (forall (@list @t1935 @t1936 @t1939 @t1938) (=> (_ (_ tptp.finite_folding_one_a @t1939) @t1938) (=> (_ tptp.finite_finite_a @t1936) (=> (_ (_ tptp.member_a @t1935) @t1936) (and (=> @t1941 (= @t1940 @t1935)) (=> (not @t1941) (= @t1940 (_ (_ @t1939 @t1935) (_ @t1938 @t1937)))))))))) % 152.04/152.33 (assume @p734 (forall (@list @t1942 @t1943 @t1946 @t1945) (=> (_ (_ tptp.finite1626084323ne_int @t1946) @t1945) (=> (_ tptp.finite_finite_int @t1943) (=> (_ (_ tptp.member_int @t1942) @t1943) (and (=> @t1948 (= @t1947 @t1942)) (=> (not @t1948) (= @t1947 (_ (_ @t1946 @t1942) (_ @t1945 @t1944)))))))))) % 152.04/152.33 (assume @p735 (forall (@list @t1949 @t1950 @t1953 @t1952) (=> (_ (_ tptp.finite988810631ne_nat @t1953) @t1952) (=> (_ tptp.finite_finite_nat @t1950) (=> (_ (_ tptp.member_nat @t1949) @t1950) (and (=> @t1955 (= @t1954 @t1949)) (=> (not @t1955) (= @t1954 (_ (_ @t1953 @t1949) (_ @t1952 @t1951)))))))))) % 152.04/152.33 (assume @p736 (forall (@list @t1956 @t1957 @t1960 @t1959) (=> (_ (_ tptp.finite1282449217_pname @t1960) @t1959) (=> (_ tptp.finite_finite_pname @t1957) (=> (_ (_ tptp.member_pname @t1956) @t1957) (and (=> @t1962 (= @t1961 @t1956)) (=> (not @t1962) (= @t1961 (_ (_ @t1960 @t1956) (_ @t1959 @t1958)))))))))) % 152.04/152.33 (assume @p737 (forall (@list @t1965 @t1963) (=> (_ tptp.finite_finite_a @t1963) (and (=> @t1967 (= @t1966 (_ (_ tptp.minus_minus_nat @t1964) tptp.one_one_nat))) (=> (not @t1967) (= @t1966 @t1964)))))) % 152.04/152.33 (assume @p738 (forall (@list @t1970 @t1968) (=> (_ tptp.finite_finite_int @t1968) (and (=> @t1972 (= @t1971 (_ (_ tptp.minus_minus_nat @t1969) tptp.one_one_nat))) (=> (not @t1972) (= @t1971 @t1969)))))) % 152.04/152.33 (assume @p739 (forall (@list @t1975 @t1973) (=> (_ tptp.finite_finite_nat @t1973) (and (=> @t1977 (= @t1976 (_ (_ tptp.minus_minus_nat @t1974) tptp.one_one_nat))) (=> (not @t1977) (= @t1976 @t1974)))))) % 152.04/152.33 (assume @p740 (forall (@list @t1980 @t1978) (=> (_ tptp.finite_finite_pname @t1978) (and (=> @t1982 (= @t1981 (_ (_ tptp.minus_minus_nat @t1979) tptp.one_one_nat))) (=> (not @t1982) (= @t1981 @t1979)))))) % 152.04/152.33 (assume @p741 (forall (@list @t1984 @t1983) (=> (_ tptp.finite_finite_a @t1983) (=> (_ (_ tptp.member_a @t1984) @t1983) (= (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t1983) (_ (_ tptp.insert_a @t1984) tptp.bot_bot_a_o))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_a @t1983)) tptp.one_one_nat)))))) % 152.04/152.33 (assume @p742 (forall (@list @t1986 @t1985) (=> (_ tptp.finite_finite_int @t1985) (=> (_ (_ tptp.member_int @t1986) @t1985) (= (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t1985) (_ (_ tptp.insert_int @t1986) tptp.bot_bot_int_o))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_int @t1985)) tptp.one_one_nat)))))) % 152.04/152.33 (assume @p743 (forall (@list @t1988 @t1987) (=> (_ tptp.finite_finite_nat @t1987) (=> (_ (_ tptp.member_nat @t1988) @t1987) (= (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t1987) (_ (_ tptp.insert_nat @t1988) tptp.bot_bot_nat_o))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_nat @t1987)) tptp.one_one_nat)))))) % 152.04/152.33 (assume @p744 (forall (@list @t1990 @t1989) (=> (_ tptp.finite_finite_pname @t1989) (=> (_ (_ tptp.member_pname @t1990) @t1989) (= (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t1989) (_ (_ tptp.insert_pname @t1990) tptp.bot_bot_pname_o))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_pname @t1989)) tptp.one_one_nat)))))) % 152.04/152.33 (assume @p745 (forall (@list @t1991) (= (= tptp.one_one_int @t1991) (= @t1991 tptp.one_one_int)))) % 152.04/152.33 (assume @p746 (forall (@list @t1992) (= (= tptp.one_one_nat @t1992) (= @t1992 tptp.one_one_nat)))) % 152.04/152.33 (assume @p747 (forall @t284 (= (_ (_ tptp.minus_minus_nat @t279) tptp.one_one_nat) @t264))) % 152.04/152.33 (assume @p748 (forall @t295 (= @t1994 (_ (_ tptp.minus_minus_nat @t1993) @t264)))) % 152.04/152.33 (assume @p749 (forall (@list @t1995 @t1997 @t1996) (=> (_ (_ tptp.finite_folding_one_a @t1997) @t1996) (= (_ @t1996 (_ (_ tptp.insert_a @t1995) tptp.bot_bot_a_o)) @t1995)))) % 152.04/152.33 (assume @p750 (forall (@list @t1998 @t2000 @t1999) (=> (_ (_ tptp.finite988810631ne_nat @t2000) @t1999) (= (_ @t1999 (_ (_ tptp.insert_nat @t1998) tptp.bot_bot_nat_o)) @t1998)))) % 152.04/152.33 (assume @p751 (forall (@list @t2001 @t2003 @t2002) (=> (_ (_ tptp.finite1626084323ne_int @t2003) @t2002) (= (_ @t2002 (_ (_ tptp.insert_int @t2001) tptp.bot_bot_int_o)) @t2001)))) % 152.04/152.33 (assume @p752 (forall (@list @t2004 @t2007 @t2005) (=> (_ tptp.finite_finite_a @t2005) (=> (_ @t2008 @t2005) (=> (not (_ @t2008 @t2004)) (= (_ tptp.finite_card_a (_ @t2006 (_ (_ tptp.insert_a @t2007) @t2004))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_a (_ @t2006 @t2004))) tptp.one_one_nat))))))) % 152.04/152.33 (assume @p753 (forall (@list @t2009 @t2012 @t2010) (=> (_ tptp.finite_finite_int @t2010) (=> (_ @t2013 @t2010) (=> (not (_ @t2013 @t2009)) (= (_ tptp.finite_card_int (_ @t2011 (_ (_ tptp.insert_int @t2012) @t2009))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_int (_ @t2011 @t2009))) tptp.one_one_nat))))))) % 152.04/152.33 (assume @p754 (forall (@list @t2014 @t2017 @t2015) (=> (_ tptp.finite_finite_nat @t2015) (=> (_ @t2018 @t2015) (=> (not (_ @t2018 @t2014)) (= (_ tptp.finite_card_nat (_ @t2016 (_ (_ tptp.insert_nat @t2017) @t2014))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_nat (_ @t2016 @t2014))) tptp.one_one_nat))))))) % 152.04/152.33 (assume @p755 (forall (@list @t2019 @t2022 @t2020) (=> (_ tptp.finite_finite_pname @t2020) (=> (_ @t2023 @t2020) (=> (not (_ @t2023 @t2019)) (= (_ tptp.finite_card_pname (_ @t2021 (_ (_ tptp.insert_pname @t2022) @t2019))) (_ (_ tptp.minus_minus_nat (_ tptp.finite_card_pname (_ @t2021 @t2019))) tptp.one_one_nat))))))) % 152.04/152.33 (assume @p756 (forall (@list @t2026 @t2024 @t2027 @t2025) (=> (_ (_ tptp.finite_folding_one_a @t2027) @t2025) (=> (_ tptp.finite_finite_a @t2024) (=> (not (_ (_ tptp.member_a @t2026) @t2024)) (=> (not (= @t2024 tptp.bot_bot_a_o)) (= (_ @t2025 (_ (_ tptp.insert_a @t2026) @t2024)) (_ (_ @t2027 @t2026) (_ @t2025 @t2024))))))))) % 152.04/152.33 (assume @p757 (forall (@list @t2030 @t2028 @t2031 @t2029) (=> (_ (_ tptp.finite1626084323ne_int @t2031) @t2029) (=> (_ tptp.finite_finite_int @t2028) (=> (not (_ (_ tptp.member_int @t2030) @t2028)) (=> (not (= @t2028 tptp.bot_bot_int_o)) (= (_ @t2029 (_ (_ tptp.insert_int @t2030) @t2028)) (_ (_ @t2031 @t2030) (_ @t2029 @t2028))))))))) % 152.04/152.33 (assume @p758 (forall (@list @t2034 @t2032 @t2035 @t2033) (=> (_ (_ tptp.finite988810631ne_nat @t2035) @t2033) (=> (_ tptp.finite_finite_nat @t2032) (=> (not (_ (_ tptp.member_nat @t2034) @t2032)) (=> (not (= @t2032 tptp.bot_bot_nat_o)) (= (_ @t2033 (_ (_ tptp.insert_nat @t2034) @t2032)) (_ (_ @t2035 @t2034) (_ @t2033 @t2032))))))))) % 152.04/152.33 (assume @p759 (forall (@list @t2038 @t2036 @t2039 @t2037) (=> (_ (_ tptp.finite1282449217_pname @t2039) @t2037) (=> (_ tptp.finite_finite_pname @t2036) (=> (not (_ (_ tptp.member_pname @t2038) @t2036)) (=> (not (= @t2036 tptp.bot_bot_pname_o)) (= (_ @t2037 (_ (_ tptp.insert_pname @t2038) @t2036)) (_ (_ @t2039 @t2038) (_ @t2037 @t2036))))))))) % 152.04/152.33 (assume @p760 (forall (@list @t2040 @t2042 @t2041) (=> (_ (_ tptp.finite_folding_one_a @t2042) @t2041) (=> (_ tptp.finite_finite_a @t2040) (=> (not (= @t2040 tptp.bot_bot_a_o)) (=> (forall (@list @t232 @t1134) (_ (_ tptp.member_a (_ (_ @t2042 @t232) @t1134)) (_ @t1135 (_ (_ tptp.insert_a @t1134) tptp.bot_bot_a_o)))) (_ (_ tptp.member_a (_ @t2041 @t2040)) @t2040))))))) % 152.04/152.33 (assume @p761 (forall (@list @t2043 @t2045 @t2044) (=> (_ (_ tptp.finite1626084323ne_int @t2045) @t2044) (=> (_ tptp.finite_finite_int @t2043) (=> (not (= @t2043 tptp.bot_bot_int_o)) (=> (forall (@list @t260 @t1137) (_ (_ tptp.member_int (_ (_ @t2045 @t260) @t1137)) (_ @t1138 (_ (_ tptp.insert_int @t1137) tptp.bot_bot_int_o)))) (_ (_ tptp.member_int (_ @t2044 @t2043)) @t2043))))))) % 152.04/152.33 (assume @p762 (forall (@list @t2046 @t2048 @t2047) (=> (_ (_ tptp.finite988810631ne_nat @t2048) @t2047) (=> (_ tptp.finite_finite_nat @t2046) (=> (not (= @t2046 tptp.bot_bot_nat_o)) (=> (forall (@list @t256 @t1140) (_ (_ tptp.member_nat (_ (_ @t2048 @t256) @t1140)) (_ @t1141 (_ (_ tptp.insert_nat @t1140) tptp.bot_bot_nat_o)))) (_ (_ tptp.member_nat (_ @t2047 @t2046)) @t2046))))))) % 152.04/152.33 (assume @p763 (forall (@list @t2049 @t2051 @t2050) (=> (_ (_ tptp.finite1282449217_pname @t2051) @t2050) (=> (_ tptp.finite_finite_pname @t2049) (=> (not (= @t2049 tptp.bot_bot_pname_o)) (=> (forall (@list @t252 @t1143) (_ (_ tptp.member_pname (_ (_ @t2051 @t252) @t1143)) (_ @t1144 (_ (_ tptp.insert_pname @t1143) tptp.bot_bot_pname_o)))) (_ (_ tptp.member_pname (_ @t2050 @t2049)) @t2049))))))) % 152.04/152.33 (assume @p764 (forall (@list @t2052 @t2053) (=> (_ tptp.finite_finite_a @t2053) (=> (_ (_ tptp.member_a @t2052) @t2053) (= (_ tptp.finite_card_a @t2053) (_ @t2054 (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t2053) (_ (_ tptp.insert_a @t2052) tptp.bot_bot_a_o))))))))) % 152.04/152.33 (assume @p765 (forall (@list @t2055 @t2056) (=> (_ tptp.finite_finite_int @t2056) (=> (_ (_ tptp.member_int @t2055) @t2056) (= (_ tptp.finite_card_int @t2056) (_ @t2054 (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t2056) (_ (_ tptp.insert_int @t2055) tptp.bot_bot_int_o))))))))) % 152.04/152.33 (assume @p766 (forall (@list @t2057 @t2058) (=> (_ tptp.finite_finite_nat @t2058) (=> (_ (_ tptp.member_nat @t2057) @t2058) (= (_ tptp.finite_card_nat @t2058) (_ @t2054 (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t2058) (_ (_ tptp.insert_nat @t2057) tptp.bot_bot_nat_o))))))))) % 152.04/152.33 (assume @p767 (forall (@list @t2059 @t2060) (=> (_ tptp.finite_finite_pname @t2060) (=> (_ (_ tptp.member_pname @t2059) @t2060) (= (_ tptp.finite_card_pname @t2060) (_ @t2054 (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t2060) (_ (_ tptp.insert_pname @t2059) tptp.bot_bot_pname_o))))))))) % 152.04/152.33 (assume @p768 (forall (@list @t2061 @t2063) (=> (_ tptp.finite_finite_a @t2063) (= (_ tptp.finite_card_a (_ @t2062 @t2063)) (_ @t2054 (_ tptp.finite_card_a (_ (_ tptp.minus_minus_a_o @t2063) (_ @t2062 tptp.bot_bot_a_o)))))))) % 152.04/152.33 (assume @p769 (forall (@list @t2064 @t2066) (=> (_ tptp.finite_finite_int @t2066) (= (_ tptp.finite_card_int (_ @t2065 @t2066)) (_ @t2054 (_ tptp.finite_card_int (_ (_ tptp.minus_minus_int_o @t2066) (_ @t2065 tptp.bot_bot_int_o)))))))) % 152.04/152.33 (assume @p770 (forall (@list @t2067 @t2069) (=> (_ tptp.finite_finite_nat @t2069) (= (_ tptp.finite_card_nat (_ @t2068 @t2069)) (_ @t2054 (_ tptp.finite_card_nat (_ (_ tptp.minus_minus_nat_o @t2069) (_ @t2068 tptp.bot_bot_nat_o)))))))) % 152.04/152.33 (assume @p771 (forall (@list @t2070 @t2072) (=> (_ tptp.finite_finite_pname @t2072) (= (_ tptp.finite_card_pname (_ @t2071 @t2072)) (_ @t2054 (_ tptp.finite_card_pname (_ (_ tptp.minus_minus_pname_o @t2072) (_ @t2071 tptp.bot_bot_pname_o)))))))) % 152.04/152.33 (assume @p772 (forall (@list @t2076 @t2073 @t2077 @t2074) (=> (_ (_ tptp.finite1432773856em_int @t2077) @t2074) (=> (_ tptp.finite_finite_int @t2073) (=> (not (= @t2076 tptp.bot_bot_int_o)) (=> (_ (_ tptp.ord_less_eq_int_o @t2076) @t2073) (= (_ (_ @t2077 (_ @t2074 @t2076)) @t2075) @t2075))))))) % 152.04/152.33 (assume @p773 (forall (@list @t2081 @t2078 @t2082 @t2079) (=> (_ (_ tptp.finite795500164em_nat @t2082) @t2079) (=> (_ tptp.finite_finite_nat @t2078) (=> (not (= @t2081 tptp.bot_bot_nat_o)) (=> (_ (_ tptp.ord_less_eq_nat_o @t2081) @t2078) (= (_ (_ @t2082 (_ @t2079 @t2081)) @t2080) @t2080))))))) % 152.04/152.33 (assume @p774 (forall (@list @t2086 @t2083 @t2087 @t2084) (=> (_ (_ tptp.finite89670078_pname @t2087) @t2084) (=> (_ tptp.finite_finite_pname @t2083) (=> (not (= @t2086 tptp.bot_bot_pname_o)) (=> (_ (_ tptp.ord_less_eq_pname_o @t2086) @t2083) (= (_ (_ @t2087 (_ @t2084 @t2086)) @t2085) @t2085))))))) % 152.04/152.33 (assume @p775 (forall (@list @t2091 @t2088 @t2092 @t2089) (=> (_ (_ tptp.finite1819937229idem_a @t2092) @t2089) (=> (_ tptp.finite_finite_a @t2088) (=> (not (= @t2091 tptp.bot_bot_a_o)) (=> (_ (_ tptp.ord_less_eq_a_o @t2091) @t2088) (= (_ (_ @t2092 (_ @t2089 @t2091)) @t2090) @t2090))))))) % 152.04/152.33 (assume @p776 (forall (@list @t2095 @t2093 @t2096 @t2094) (=> (_ (_ tptp.finite1819937229idem_a @t2096) @t2094) (=> (_ tptp.finite_finite_a @t2093) (=> (not (= @t2093 tptp.bot_bot_a_o)) (= (_ @t2094 (_ (_ tptp.insert_a @t2095) @t2093)) (_ (_ @t2096 @t2095) (_ @t2094 @t2093)))))))) % 152.04/152.33 (assume @p777 (forall (@list @t2099 @t2097 @t2100 @t2098) (=> (_ (_ tptp.finite1432773856em_int @t2100) @t2098) (=> (_ tptp.finite_finite_int @t2097) (=> (not (= @t2097 tptp.bot_bot_int_o)) (= (_ @t2098 (_ (_ tptp.insert_int @t2099) @t2097)) (_ (_ @t2100 @t2099) (_ @t2098 @t2097)))))))) % 152.04/152.33 (assume @p778 (forall (@list @t2103 @t2101 @t2104 @t2102) (=> (_ (_ tptp.finite795500164em_nat @t2104) @t2102) (=> (_ tptp.finite_finite_nat @t2101) (=> (not (= @t2101 tptp.bot_bot_nat_o)) (= (_ @t2102 (_ (_ tptp.insert_nat @t2103) @t2101)) (_ (_ @t2104 @t2103) (_ @t2102 @t2101)))))))) % 152.04/152.33 (assume @p779 (forall (@list @t2107 @t2105 @t2108 @t2106) (=> (_ (_ tptp.finite89670078_pname @t2108) @t2106) (=> (_ tptp.finite_finite_pname @t2105) (=> (not (= @t2105 tptp.bot_bot_pname_o)) (= (_ @t2106 (_ (_ tptp.insert_pname @t2107) @t2105)) (_ (_ @t2108 @t2107) (_ @t2106 @t2105)))))))) % 152.04/152.33 (assume @p780 (forall (@list @t2110 @t2109) (=> (_ tptp.finite_finite_a @t2109) (=> (not (= @t2109 tptp.bot_bot_a_o)) (=> (forall @t235 (_ @t2110 @t2111)) (=> (forall @t1785 (=> @t1743 (=> (not (= @t1738 tptp.bot_bot_a_o)) (=> @t1784 (=> (_ @t2110 @t1738) (_ @t2110 @t1783)))))) (_ @t2110 @t2109))))))) % 152.04/152.33 (assume @p781 (forall (@list @t2113 @t2112) (=> (_ tptp.finite_finite_int @t2112) (=> (not (= @t2112 tptp.bot_bot_int_o)) (=> (forall @t263 (_ @t2113 @t2114)) (=> (forall @t1790 (=> @t1749 (=> (not (= @t1746 tptp.bot_bot_int_o)) (=> @t1789 (=> (_ @t2113 @t1746) (_ @t2113 @t1788)))))) (_ @t2113 @t2112))))))) % 152.04/152.33 (assume @p782 (forall (@list @t2116 @t2115) (=> (_ tptp.finite_finite_nat @t2115) (=> (not (= @t2115 tptp.bot_bot_nat_o)) (=> (forall @t259 (_ @t2116 @t2117)) (=> (forall @t1795 (=> @t1755 (=> (not (= @t1752 tptp.bot_bot_nat_o)) (=> @t1794 (=> (_ @t2116 @t1752) (_ @t2116 @t1793)))))) (_ @t2116 @t2115))))))) % 152.04/152.33 (assume @p783 (forall (@list @t2119 @t2118) (=> (_ tptp.finite_finite_pname @t2118) (=> (not (= @t2118 tptp.bot_bot_pname_o)) (=> (forall @t255 (_ @t2119 (_ @t1144 tptp.bot_bot_pname_o))) (=> (forall @t1800 (=> @t1761 (=> (not (= @t1758 tptp.bot_bot_pname_o)) (=> @t1799 (=> (_ @t2119 @t1758) (_ @t2119 @t1798)))))) (_ @t2119 @t2118))))))) % 152.04/152.33 (assume @p784 (forall (@list @t2120) (= (_ tptp.the_elem_a @t2120) (_ tptp.the_a (lambda @t235 (= @t2120 @t2111)))))) % 152.04/152.33 (assume @p785 (forall (@list @t2121) (= (_ tptp.the_elem_nat @t2121) (_ tptp.the_nat (lambda @t259 (= @t2121 @t2117)))))) % 152.04/152.33 (assume @p786 (forall (@list @t2122) (= (_ tptp.the_elem_int @t2122) (_ tptp.the_int (lambda @t263 (= @t2122 @t2114)))))) % 152.04/152.33 (assume @p787 (forall (@list @t2125 @t2124 @t2123) (= (_ (_ tptp.plus_plus_int (_ @t2126 @t2124)) @t2123) (_ @t2126 (_ (_ tptp.plus_plus_int @t2124) @t2123))))) % 152.04/152.33 (assume @p788 (forall (@list @t2129 @t2128 @t2127) (= (_ (_ tptp.plus_plus_nat (_ @t2130 @t2128)) @t2127) (_ @t2130 (_ (_ tptp.plus_plus_nat @t2128) @t2127))))) % 152.04/152.33 (assume @p789 (forall (@list @t2133 @t2132 @t2131) (= (= (_ @t2134 @t2132) (_ @t2134 @t2131)) (= @t2132 @t2131)))) % 152.04/152.33 (assume @p790 (forall (@list @t2137 @t2136 @t2135) (= (= (_ @t2138 @t2136) (_ @t2138 @t2135)) (= @t2136 @t2135)))) % 152.04/152.33 (assume @p791 (forall (@list @t2140 @t2141 @t2139) (= (= (_ (_ tptp.plus_plus_int @t2140) @t2141) (_ (_ tptp.plus_plus_int @t2139) @t2141)) (= @t2140 @t2139)))) % 152.04/152.33 (assume @p792 (forall (@list @t2143 @t2144 @t2142) (= (= (_ (_ tptp.plus_plus_nat @t2143) @t2144) (_ (_ tptp.plus_plus_nat @t2142) @t2144)) (= @t2143 @t2142)))) % 152.04/152.33 (assume @p793 (forall (@list @t2147 @t2146 @t2145) (=> (= (_ @t2148 @t2146) (_ @t2148 @t2145)) (= @t2146 @t2145)))) % 152.04/152.33 (assume @p794 (forall (@list @t2151 @t2150 @t2149) (=> (= (_ @t2152 @t2150) (_ @t2152 @t2149)) (= @t2150 @t2149)))) % 152.04/152.33 (assume @p795 (forall (@list @t2155 @t2154 @t2153) (=> (= (_ @t2156 @t2154) (_ @t2156 @t2153)) (= @t2154 @t2153)))) % 152.04/152.33 (assume @p796 (forall (@list @t2159 @t2158 @t2157) (=> (= (_ @t2160 @t2158) (_ @t2160 @t2157)) (= @t2158 @t2157)))) % 152.04/152.33 (assume @p797 (forall (@list @t2162 @t2163 @t2161) (=> (= (_ (_ tptp.plus_plus_int @t2162) @t2163) (_ (_ tptp.plus_plus_int @t2161) @t2163)) (= @t2162 @t2161)))) % 152.04/152.33 (assume @p798 (forall (@list @t2165 @t2166 @t2164) (=> (= (_ (_ tptp.plus_plus_nat @t2165) @t2166) (_ (_ tptp.plus_plus_nat @t2164) @t2166)) (= @t2165 @t2164)))) % 152.04/152.33 (assume @p799 (forall @t295 (= @t2170 @t2168))) % 152.04/152.33 (assume @p800 (forall (@list @t286 @t285 @t2171) (= (_ @t2172 @t2174) (_ @t2173 (_ @t2172 @t2171))))) % 152.04/152.33 (assume @p801 (forall @t377 (= (_ (_ tptp.plus_plus_nat @t2170) @t274) (_ @t2169 @t2175)))) % 152.04/152.33 (assume @p802 (forall @t2179 (= (= @t2178 @t2177) @t292))) % 152.04/152.33 (assume @p803 (forall @t2181 (= (= @t2180 @t2175) @t292))) % 152.04/152.33 (assume @p804 (forall (@list @t2183 @t2184 @t2182) (= (_ (_ tptp.ord_less_eq_int (_ (_ tptp.plus_plus_int @t2183) @t2184)) (_ (_ tptp.plus_plus_int @t2182) @t2184)) (_ (_ tptp.ord_less_eq_int @t2183) @t2182)))) % 152.04/152.33 (assume @p805 (forall (@list @t2186 @t2187 @t2185) (= (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat @t2186) @t2187)) (_ (_ tptp.plus_plus_nat @t2185) @t2187)) (_ (_ tptp.ord_less_eq_nat @t2186) @t2185)))) % 152.04/152.33 (assume @p806 (forall (@list @t2190 @t2189 @t2188) (= (_ (_ tptp.ord_less_eq_int (_ @t2191 @t2189)) (_ @t2191 @t2188)) (_ (_ tptp.ord_less_eq_int @t2189) @t2188)))) % 152.04/152.33 (assume @p807 (forall (@list @t2194 @t2193 @t2192) (= (_ (_ tptp.ord_less_eq_nat (_ @t2195 @t2193)) (_ @t2195 @t2192)) (_ (_ tptp.ord_less_eq_nat @t2193) @t2192)))) % 152.04/152.33 (assume @p808 (forall (@list @t2196 @t2198 @t2197) (=> (_ (_ tptp.ord_less_eq_int @t2198) @t2197) (_ (_ tptp.ord_less_eq_int (_ (_ tptp.plus_plus_int @t2198) @t2196)) (_ (_ tptp.plus_plus_int @t2197) @t2196))))) % 152.04/152.33 (assume @p809 (forall (@list @t2199 @t2201 @t2200) (=> (_ (_ tptp.ord_less_eq_nat @t2201) @t2200) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat @t2201) @t2199)) (_ (_ tptp.plus_plus_nat @t2200) @t2199))))) % 152.04/152.33 (assume @p810 (forall (@list @t2203 @t2205 @t2202) (=> (_ (_ tptp.ord_less_eq_int @t2205) @t2202) (_ (_ tptp.ord_less_eq_int (_ @t2204 @t2205)) (_ @t2204 @t2202))))) % 152.04/152.33 (assume @p811 (forall (@list @t2207 @t2209 @t2206) (=> (_ (_ tptp.ord_less_eq_nat @t2209) @t2206) (_ (_ tptp.ord_less_eq_nat (_ @t2208 @t2209)) (_ @t2208 @t2206))))) % 152.04/152.33 (assume @p812 (forall (@list @t2212 @t2210 @t2213 @t2211) (=> (_ (_ tptp.ord_less_eq_int @t2213) @t2211) (=> (_ (_ tptp.ord_less_eq_int @t2212) @t2210) (_ (_ tptp.ord_less_eq_int (_ (_ tptp.plus_plus_int @t2213) @t2212)) (_ (_ tptp.plus_plus_int @t2211) @t2210)))))) % 152.04/152.33 (assume @p813 (forall (@list @t2216 @t2214 @t2217 @t2215) (=> (_ (_ tptp.ord_less_eq_nat @t2217) @t2215) (=> (_ (_ tptp.ord_less_eq_nat @t2216) @t2214) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat @t2217) @t2216)) (_ (_ tptp.plus_plus_nat @t2215) @t2214)))))) % 152.04/152.33 (assume @p814 (forall (@list @t2219 @t2220 @t2218) (=> (_ (_ tptp.ord_less_eq_int (_ (_ tptp.plus_plus_int @t2219) @t2220)) (_ (_ tptp.plus_plus_int @t2218) @t2220)) (_ (_ tptp.ord_less_eq_int @t2219) @t2218)))) % 152.04/152.33 (assume @p815 (forall (@list @t2222 @t2223 @t2221) (=> (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat @t2222) @t2223)) (_ (_ tptp.plus_plus_nat @t2221) @t2223)) (_ (_ tptp.ord_less_eq_nat @t2222) @t2221)))) % 152.04/152.33 (assume @p816 (forall (@list @t2226 @t2225 @t2224) (=> (_ (_ tptp.ord_less_eq_int (_ @t2227 @t2225)) (_ @t2227 @t2224)) (_ (_ tptp.ord_less_eq_int @t2225) @t2224)))) % 152.04/152.33 (assume @p817 (forall (@list @t2230 @t2229 @t2228) (=> (_ (_ tptp.ord_less_eq_nat (_ @t2231 @t2229)) (_ @t2231 @t2228)) (_ (_ tptp.ord_less_eq_nat @t2229) @t2228)))) % 152.04/152.33 (assume @p818 (forall (@list @t2232 @t2233) (= (_ (_ tptp.plus_plus_int (_ (_ tptp.minus_minus_int @t2232) @t2233)) @t2233) @t2232))) % 152.04/152.33 (assume @p819 (forall (@list @t2234 @t2235) (= (_ (_ tptp.minus_minus_int (_ (_ tptp.plus_plus_int @t2234) @t2235)) @t2235) @t2234))) % 152.04/152.33 (assume @p820 (forall @t295 (= @t2237 @t2236))) % 152.04/152.33 (assume @p821 (forall @t295 (= @t2238 @t2236))) % 152.04/152.33 (assume @p822 (forall @t295 (= @t2238 @t2237))) % 152.04/152.33 (assume @p823 (forall @t273 (_ @t271 @t2170))) % 152.04/152.33 (assume @p824 (forall @t273 (_ @t271 @t2168))) % 152.04/152.33 (assume @p825 (forall @t295 (= @t294 (exists @t2241 (= @t264 @t2240))))) % 152.04/152.33 (assume @p826 (forall @t2179 (= (_ (_ tptp.ord_less_eq_nat @t2178) @t2177) @t294))) % 152.04/152.33 (assume @p827 (forall @t2244 (=> @t300 (_ @t297 @t2243)))) % 152.04/152.33 (assume @p828 (forall @t2244 (=> @t300 (_ @t297 @t2245)))) % 152.04/152.33 (assume @p829 (forall @t301 (=> @t300 (_ @t2249 @t2246)))) % 152.04/152.33 (assume @p830 (forall @t2252 (=> @t300 (=> @t2251 (_ @t2249 @t2250))))) % 152.04/152.33 (assume @p831 (forall @t2181 (=> @t2253 @t382))) % 152.04/152.33 (assume @p832 (forall @t2181 (=> @t2253 @t294))) % 152.04/152.33 (assume @p833 (forall @t2181 (=> @t2253 (not (=> @t294 (not @t382)))))) % 152.04/152.33 (assume @p834 (forall @t295 (= (_ (_ tptp.minus_minus_nat @t2170) @t264) @t265))) % 152.04/152.33 (assume @p835 (forall @t273 (= (_ @t2254 @t264) @t265))) % 152.04/152.33 (assume @p836 (forall @t305 (= @t304 (_ @t302 @t2246)))) % 152.04/152.33 (assume @p837 (forall @t2179 (= (_ (_ tptp.minus_minus_nat @t2178) @t2177) @t267))) % 152.04/152.33 (assume @p838 (forall @t2181 (= (_ @t2255 @t2175) @t267))) % 152.04/152.33 (assume @p839 (forall @t2259 (=> @t2258 (= (_ @t302 @t2257) (_ (_ tptp.minus_minus_nat @t2248) @t298))))) % 152.04/152.33 (assume @p840 (forall (@list @t298 @t274 @t296) (= (_ (_ tptp.ord_less_eq_nat @t2257) @t296) (_ @t299 @t2248)))) % 152.04/152.33 (assume @p841 (forall @t2181 (=> @t382 (_ @t293 (_ @t2254 @t274))))) % 152.04/152.33 (assume @p842 (forall @t273 (=> @t272 @t2260))) % 152.04/152.33 (assume @p843 (forall @t2259 (=> @t2258 (= @t2263 @t2262)))) % 152.04/152.33 (assume @p844 (forall @t2259 (=> @t2258 (= (_ @t297 @t2257) (_ @t2249 @t298))))) % 152.04/152.33 (assume @p845 (forall @t273 (=> @t272 (= (_ (_ tptp.plus_plus_nat @t267) @t264) @t265)))) % 152.04/152.33 (assume @p846 (forall @t301 (=> @t300 (= (= @t2264 @t274) (= @t298 (_ @t2176 @t296)))))) % 152.04/152.33 (assume @p847 (forall @t2259 (=> @t2258 (= @t2262 @t2263)))) % 152.04/152.33 (assume @p848 (forall @t2259 (=> @t2258 (= @t2267 @t2266)))) % 152.04/152.33 (assume @p849 (forall @t2259 (=> @t2258 (= @t2266 @t2267)))) % 152.04/152.33 (assume @p850 (forall @t284 (= @t279 @t2268))) % 152.04/152.33 (assume @p851 (forall @t284 (= @t279 (_ @t2167 tptp.one_one_nat)))) % 152.04/152.33 (assume @p852 (forall @t2271 (=> @t2258 (= (_ @t266 @t2270) (_ @t2255 @t2269))))) % 152.04/152.33 (assume @p853 (forall @t2271 (=> @t2258 (= (_ (_ tptp.minus_minus_nat @t2270) @t265) (_ (_ tptp.minus_minus_nat @t2269) @t2178))))) % 152.04/152.33 (assume @p854 (forall @t2274 (=> (_ @t2272 @t2171) @t2273))) % 152.04/152.33 (assume @p855 (forall @t2276 (=> @t2275 @t2273))) % 152.04/152.33 (assume @p856 (forall @t284 (_ @t2277 @t279))) % 152.04/152.33 (assume @p857 (forall @t295 (=> @t2281 @t2279))) % 152.04/152.33 (assume @p858 (forall @t278 (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t277 (_ (_ tptp.ord_less_nat @t275) @t274)))))) % 152.04/152.33 (assume @p859 (forall @t284 (not (_ @t2277 @t264)))) % 152.04/152.33 (assume @p860 (forall @t295 (= @t2283 (or @t2281 @t2282)))) % 152.04/152.33 (assume @p861 (forall @t288 (=> @t2286 (=> (not @t2285) (_ (_ tptp.ord_less_nat @t285) @t286))))) % 152.04/152.33 (assume @p862 (forall @t273 (=> @t2282 @t2283))) % 152.04/152.33 (assume @p863 (forall (@list @t2288 @t2287) (=> (_ (_ tptp.ord_less_nat @t2288) @t2287) (not (= @t2288 @t2287))))) % 152.04/152.33 (assume @p864 (forall (@list @t2289 @t265 @t264) (=> (=> @t2281 @t2290) (=> (=> @t292 @t2290) (=> (=> @t2282 @t2290) @t2290))))) % 152.04/152.33 (assume @p865 (forall @t295 (= @t2292 @t2291))) % 152.04/152.33 (assume @p866 (forall @t295 (= @t2294 @t2293))) % 152.04/152.33 (assume @p867 (forall @t295 (= @t2279 @t2281))) % 152.04/152.33 (assume @p868 (forall @t273 (=> @t2296 @t2295))) % 152.04/152.33 (assume @p869 (forall @t273 (=> @t2296 (=> @t2291 @t292)))) % 152.04/152.33 (assume @p870 (forall @t295 (=> @t2281 @t2294))) % 152.04/152.33 (assume @p871 (forall @t295 (=> @t2281 (=> (not (= @t268 @t264)) @t2297)))) % 152.04/152.33 (assume @p872 (forall @t301 (=> @t2302 (=> @t2300 @t2299)))) % 152.04/152.33 (assume @p873 (forall @t295 (=> @t2294 (=> @t2292 @t292)))) % 152.04/152.33 (assume @p874 (forall @t295 (=> @t2297 @t2281))) % 152.04/152.33 (assume @p875 (forall @t295 (=> @t2279 @t2281))) % 152.04/152.33 (assume @p876 (forall @t2304 (not (_ @t2303 @t296)))) % 152.04/152.33 (assume @p877 (forall (@list @t298 @t296) (not (_ (_ tptp.ord_less_nat @t2265) @t296)))) % 152.04/152.33 (assume @p878 (forall @t2179 (= (_ (_ tptp.ord_less_nat @t2178) @t2177) @t2281))) % 152.04/152.33 (assume @p879 (forall @t2244 (=> @t2302 (_ @t2301 @t2243)))) % 152.04/152.33 (assume @p880 (forall @t2244 (=> @t2302 (_ @t2301 @t2245)))) % 152.04/152.33 (assume @p881 (forall @t301 (=> @t2302 (_ @t2305 @t2246)))) % 152.04/152.33 (assume @p882 (forall @t2252 (=> @t2302 (=> @t2306 (_ @t2305 @t2250))))) % 152.04/152.33 (assume @p883 (forall (@list @t265 @t264 @t274 @t386) (=> @t2306 (=> (= (_ @t2169 @t386) @t2177) @t2281)))) % 152.04/152.33 (assume @p884 (forall @t305 (=> (_ @t2303 @t274) @t2307))) % 152.04/152.33 (assume @p885 (forall @t2276 (=> @t2285 @t2308))) % 152.04/152.33 (assume @p886 (forall @t2274 (=> (_ @t2284 @t2171) @t2308))) % 152.04/152.33 (assume @p887 (forall @t295 (= @t2281 (and @t294 @t2283)))) % 152.04/152.33 (assume @p888 (forall @t295 (= @t294 @t2293))) % 152.04/152.33 (assume @p889 (forall @t295 (=> @t2281 @t294))) % 152.04/152.33 (assume @p890 (forall @t295 (=> @t294 (=> @t2283 @t2281)))) % 152.04/152.33 (assume @p891 (forall @t295 (=> @t2293 @t294))) % 152.04/152.33 (assume @p892 (forall @t288 (=> @t2285 @t2275))) % 152.04/152.33 (assume @p893 (forall (@list @t264 @t298 @t274) (=> @t2300 (_ (_ tptp.ord_less_nat (_ @t2256 @t264)) @t274)))) % 152.04/152.33 (assume @p894 (forall @t387 (=> @t2281 (=> (_ @t2280 @t386) (_ (_ tptp.ord_less_nat @t390) @t389))))) % 152.04/152.33 (assume @p895 (forall @t1298 (= @t1297 (exists @t744 (forall @t259 (=> @t1296 (_ @t2309 @t741))))))) % 152.04/152.33 (assume @p896 (forall @t284 (= (_ tptp.finite_card_nat (_ tptp.collect_nat (lambda @t283 @t2311))) @t264))) % 152.04/152.33 (assume @p897 (forall (@list @t736 @t296) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t2241 (and @t2314 @t2313)))))) % 152.04/152.33 (assume @p898 (forall @t2315 (_ @t2301 (_ tptp.suc (_ @t2247 @t265))))) % 152.04/152.33 (assume @p899 (forall @t2315 (_ @t2301 (_ tptp.suc (_ @t2169 @t296))))) % 152.04/152.33 (assume @p900 (forall @t295 (= @t2281 @t2316))) % 152.04/152.33 (assume @p901 (forall @t273 (= @t2282 @t375))) % 152.04/152.33 (assume @p902 (forall @t295 (= @t2294 @t294))) % 152.04/152.33 (assume @p903 (forall @t295 (= @t370 @t2281))) % 152.04/152.33 (assume @p904 (forall @t295 (=> @t294 @t2294))) % 152.04/152.33 (assume @p905 (forall @t295 (=> @t2281 @t370))) % 152.04/152.33 (assume @p906 (forall @t295 (=> @t294 @t2295))) % 152.04/152.33 (assume @p907 (forall @t295 (=> @t370 @t2281))) % 152.04/152.33 (assume @p908 (forall @t295 (_ @t2317 @t268))) % 152.04/152.33 (assume @p909 (forall @t305 (= (_ @t2301 @t2257) (_ @t2305 @t298)))) % 152.04/152.33 (assume @p910 (forall @t295 (=> @t2292 @t2260))) % 152.04/152.33 (assume @p911 (forall (@list @t2318 @t2320 @t2319) (=> @t2322 (=> (_ (_ tptp.ord_less_eq_nat @t2318) @t2320) (_ (_ tptp.ord_less_nat (_ @t2321 @t2318)) (_ (_ tptp.minus_minus_nat @t2319) @t2318)))))) % 152.04/152.33 (assume @p912 (forall @t384 (=> @t383 (=> @t382 (= (_ (_ tptp.ord_less_nat @t380) @t379) @t2281))))) % 152.04/152.33 (assume @p913 (forall @t259 (= @t2309 (_ tptp.ord_less_eq_nat (_ tptp.suc @t256))))) % 152.04/152.33 (assume @p914 (forall (@list @t265 @t274 @t1806) (=> (forall @t2323 (=> (_ (_ tptp.ord_less_nat @t741) @t275) (_ (_ tptp.ord_less_nat (_ @t1806 @t741)) @t1807))) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat (_ @t1806 @t265)) @t274)) (_ @t1806 @t2180))))) % 152.04/152.33 (assume @p915 (forall (@list @t736 @t296 @t298) (=> @t300 (=> (_ @t736 @t298) (=> (forall @t283 (=> (_ @t2310 @t298) (=> (_ @t736 (_ tptp.suc @t280)) @t2324))) (_ @t736 @t296)))))) % 152.04/152.33 (assume @p916 (forall @t295 (=> @t2281 @t2316))) % 152.04/152.33 (assume @p917 (forall (@list @t264 @t1295) (=> (forall @t259 (=> @t1296 (_ @t2309 @t264))) @t1297))) % 152.04/152.33 (assume @p918 (forall (@list @t296 @t298 @t1806) (=> (forall (@list @t280 @t2325) (=> (_ @t2310 @t2325) (_ (_ tptp.ord_less_nat (_ @t1806 @t280)) (_ @t1806 @t2325)))) (=> @t300 (_ (_ tptp.ord_less_eq_nat (_ @t1806 @t296)) (_ @t1806 @t298)))))) % 152.04/152.33 (assume @p919 (forall @t2329 (=> @t2307 (=> (not (= @t274 @t2298)) @t2328)))) % 152.04/152.33 (assume @p920 (forall @t2329 (=> @t2299 @t2328))) % 152.04/152.33 (assume @p921 (forall @t284 (not (_ @t2277 tptp.zero_zero_nat)))) % 152.04/152.33 (assume @p922 (forall @t284 (_ (_ tptp.ord_less_eq_nat tptp.zero_zero_nat) @t264))) % 152.04/152.33 (assume @p923 (forall @t284 (_ @t2330 @t279))) % 152.04/152.33 (assume @p924 (forall @t284 (= (_ @t271 tptp.zero_zero_nat) @t2331))) % 152.04/152.33 (assume @p925 (forall @t295 (=> @t2333 (=> (= @t2332 tptp.zero_zero_nat) @t292)))) % 152.04/152.33 (assume @p926 (forall @t2334 (= (_ @t266 @t265) tptp.zero_zero_nat))) % 152.04/152.33 (assume @p927 (forall @t2334 (= (_ @t266 tptp.zero_zero_nat) @t265))) % 152.04/152.33 (assume @p928 (forall @t284 (= (_ (_ tptp.minus_minus_nat tptp.zero_zero_nat) @t264) tptp.zero_zero_nat))) % 152.04/152.33 (assume @p929 (= tptp.bot_bot_nat tptp.zero_zero_nat)) % 152.04/152.33 (assume @p930 (forall @t295 (=> (= @t2170 @t265) @t2331))) % 152.04/152.33 (assume @p931 (forall @t295 (= (= @t2170 tptp.zero_zero_nat) (and @t2335 @t2331)))) % 152.04/152.33 (assume @p932 (forall @t2334 (= (_ @t2169 tptp.zero_zero_nat) @t265))) % 152.04/152.33 (assume @p933 (forall @t284 (= (_ (_ tptp.plus_plus_nat tptp.zero_zero_nat) @t264) @t264))) % 152.04/152.33 (assume @p934 (forall @t284 (=> @t2337 @t2336))) % 152.04/152.33 (assume @p935 (forall @t295 (=> @t2281 @t2337))) % 152.04/152.33 (assume @p936 (forall @t284 (= @t2337 @t2336))) % 152.04/152.33 (assume @p937 (forall @t2334 (not (= @t268 tptp.zero_zero_nat)))) % 152.04/152.33 (assume @p938 (forall @t2334 (not (= tptp.zero_zero_nat @t268)))) % 152.04/152.33 (assume @p939 (forall (@list @t2338) (not (= (_ tptp.suc @t2338) tptp.zero_zero_nat)))) % 152.04/152.33 (assume @p940 (forall (@list @t289) (not (= tptp.zero_zero_nat @t291)))) % 152.04/152.33 (assume @p941 (forall @t284 (= @t2336 @t2339))) % 152.04/152.33 (assume @p942 (forall @t284 (= (_ @t2277 @t2340) @t2331))) % 152.04/152.33 (assume @p943 (forall @t295 (= @t2294 (or @t2335 (exists @t2327 (and (= @t265 @t2326) (_ (_ tptp.ord_less_nat @t2325) @t264))))))) % 152.04/152.33 (assume @p944 (forall @t295 (= (= @t2340 @t2170) @t2343))) % 152.04/152.33 (assume @p945 (forall @t295 (= (= @t2170 @t2340) @t2343))) % 152.04/152.33 (assume @p946 (forall @t295 (= (_ @t2330 @t2170) (or @t2344 @t2336)))) % 152.04/152.33 (assume @p947 (forall @t273 (= (_ @t2330 @t2332) @t2281))) % 152.04/152.33 (assume @p948 (forall @t295 (=> @t2336 (=> @t2344 (_ @t2317 @t265))))) % 152.04/152.33 (assume @p949 (forall @t273 (= (_ @t378 @t2168) tptp.zero_zero_nat))) % 152.04/152.33 (assume @p950 (forall @t295 (= @t2333 @t294))) % 152.04/152.33 (assume @p951 (forall @t295 (=> @t294 @t2333))) % 152.04/152.33 (assume @p952 (= tptp.one_one_nat @t2340)) % 152.04/152.33 (assume @p953 (forall @t295 (= @t1994 (_ (_ (_ tptp.nat_case_nat tptp.zero_zero_nat) (lambda @t2241 @t2239)) @t267)))) % 152.04/152.33 (assume @p954 (forall @t284 (=> @t2336 (= (_ tptp.suc (_ @t378 @t2340)) @t264)))) % 152.04/152.33 (assume @p955 (forall @t385 (=> @t2336 (_ (_ tptp.ord_less_nat (_ @t378 @t2298)) @t264)))) % 152.04/152.33 (assume @p956 (forall @t2351 (= @t2350 (and (=> @t2322 @t2349) (forall @t2348 (=> @t2347 @t2346)))))) % 152.04/152.33 (assume @p957 (forall @t2351 (= @t2350 (not (or (and @t2322 @t2352) (exists @t2348 (and @t2347 (not @t2346)))))))) % 152.04/152.33 (assume @p958 (forall @t2357 (=> @t2356 (= (_ tptp.suc @t2355) @t2354)))) % 152.04/152.33 (assume @p959 (forall @t2357 (=> @t2356 (not (= @t2354 tptp.zero_zero_nat))))) % 152.04/152.33 (assume @p960 (forall @t2357 (=> (not @t2356) (= @t2355 @t2354)))) % 152.04/152.33 (assume @p961 (forall @t284 (=> @t2336 (= @t2358 @t264)))) % 152.04/152.33 (assume @p962 (forall @t284 (=> @t2336 (= @t264 @t2358)))) % 152.04/152.33 (assume @p963 (forall @t273 (and (=> @t2335 (= @t2170 @t264)) (=> @t2359 (= @t2170 (_ tptp.suc (_ (_ tptp.plus_plus_nat @t1993) @t264))))))) % 152.04/152.33 (assume @p964 (forall @t2362 (=> @t2352 (=> @t2361 (exists @t2241 (and (_ @t2312 @t264) (forall @t283 (=> (_ @t281 @t2239) @t2360)) (_ @t736 (_ (_ tptp.plus_plus_nat @t2239) tptp.one_one_nat)))))))) % 152.04/152.33 (assume @p965 (forall @t2362 (=> @t2352 (=> @t2361 (exists @t2241 (and (_ (_ tptp.ord_less_eq_nat @t2239) @t264) (forall @t283 (=> (_ @t2310 @t2239) @t2360)) @t2314)))))) % 152.04/152.33 (assume @p966 (forall @t2304 (=> @t2302 (exists @t2241 (and (_ @t2330 @t2239) (= (_ @t2247 @t2239) @t298)))))) % 152.04/152.33 (assume @p967 (forall @t284 (=> @t2336 @t2339))) % 152.04/152.33 (assume @p968 (forall (@list @t285) (=> (not (= @t285 tptp.zero_zero_nat)) (not (forall (@list @t2363) (not (= @t285 (_ tptp.suc @t2363)))))))) % 152.04/152.33 (assume @p969 (forall (@list @t736 @t274) (=> @t740 (=> @t739 @t2349)))) % 152.04/152.33 (assume @p970 (forall @t284 (=> @t2337 @t2339))) % 152.04/152.33 (assume @p971 (forall @t2362 (=> @t2349 (=> (forall @t277 (=> @t737 @t738)) @t2361)))) % 152.04/152.33 (assume @p972 (forall @t2366 (=> (_ @t2330 @t2365) (= @t2365 (_ tptp.suc (_ (_ tptp.minus_minus_nat @t2365) tptp.one_one_nat)))))) % 152.04/152.33 (assume @p973 (forall @t284 (= (_ (_ tptp.times_times_nat tptp.zero_zero_nat) @t264) tptp.zero_zero_nat))) % 152.04/152.33 (assume @p974 (forall @t2334 (= (_ @t2367 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 152.04/152.33 (assume @p975 (forall @t295 (= @t2369 (or @t2335 @t2331)))) % 152.04/152.33 (assume @p976 (forall @t2179 (= @t2375 @t2371))) % 152.04/152.33 (assume @p977 (forall @t2181 (= (= @t2378 @t2377) @t2371))) % 152.04/152.33 (assume @p978 (forall @t2179 (= (= @t2381 @t2380) @t292))) % 152.04/152.33 (assume @p979 (forall @t377 (= (_ (_ tptp.times_times_nat @t2170) @t274) (_ (_ tptp.plus_plus_nat @t2378) @t2377)))) % 152.04/152.33 (assume @p980 (forall @t2179 (= (_ @t2372 @t2170) (_ (_ tptp.plus_plus_nat @t2374) @t2373)))) % 152.04/152.33 (assume @p981 (forall @t2252 (=> @t300 (=> @t2251 (_ @t2385 (_ @t2382 @t386)))))) % 152.04/152.33 (assume @p982 (forall @t301 (=> @t300 (_ (_ tptp.ord_less_eq_nat @t2387) @t2386)))) % 152.04/152.33 (assume @p983 (forall @t301 (=> @t300 (_ @t2385 @t2388)))) % 152.04/152.33 (assume @p984 (forall @t2334 (_ @t293 (_ @t2367 @t2389)))) % 152.04/152.33 (assume @p985 (forall @t2334 (_ @t293 @t2389))) % 152.04/152.33 (assume @p986 (forall @t377 (= (_ (_ tptp.times_times_nat @t267) @t274) (_ (_ tptp.minus_minus_nat @t2378) @t2377)))) % 152.04/152.33 (assume @p987 (forall @t2179 (= (_ @t2372 @t267) (_ (_ tptp.minus_minus_nat @t2374) @t2373)))) % 152.04/152.33 (assume @p988 (forall @t295 (= (= @t2368 tptp.one_one_nat) @t2391))) % 152.04/152.33 (assume @p989 (forall @t284 (= (_ @t2376 tptp.one_one_nat) @t264))) % 152.04/152.33 (assume @p990 (forall @t295 (= (= tptp.one_one_nat @t2368) @t2391))) % 152.04/152.33 (assume @p991 (forall @t284 (= (_ (_ tptp.times_times_nat tptp.one_one_nat) @t264) @t264))) % 152.04/152.33 (assume @p992 (forall @t295 (= (= @t2368 @t2340) (and @t2342 @t2341)))) % 152.04/152.33 (assume @p993 (forall @t301 (=> @t2302 (=> @t2392 (_ (_ tptp.ord_less_nat @t2387) @t2386))))) % 152.04/152.33 (assume @p994 (forall @t301 (=> @t2302 (=> @t2392 (_ (_ tptp.ord_less_nat @t2384) @t2388))))) % 152.04/152.33 (assume @p995 (forall @t2181 (= (_ (_ tptp.ord_less_nat @t2378) @t2377) @t2393))) % 152.04/152.33 (assume @p996 (forall @t2179 (= @t2394 @t2393))) % 152.04/152.33 (assume @p997 (forall @t295 (= (_ @t2330 @t2368) (and @t2344 @t2336)))) % 152.04/152.33 (assume @p998 (forall @t2179 (= (_ (_ tptp.ord_less_nat @t2381) @t2380) @t2281))) % 152.04/152.33 (assume @p999 (forall @t295 (= (_ @t2367 @t279) (_ @t2169 @t2368)))) % 152.04/152.33 (assume @p1000 (forall @t295 (= (_ (_ tptp.times_times_nat @t268) @t264) (_ @t2167 @t2368)))) % 152.04/152.33 (assume @p1001 (forall @t2179 (= (_ (_ tptp.ord_less_eq_nat @t2381) @t2380) @t294))) % 152.04/152.33 (assume @p1002 (forall @t295 (=> (= @t265 @t2368) (or @t2390 @t2335)))) % 152.04/152.33 (assume @p1003 (forall @t295 (=> @t2397 (=> @t2396 (_ @t2277 @t2368))))) % 152.04/152.33 (assume @p1004 (forall @t295 (=> @t2397 (=> @t2396 (_ @t2277 @t2398))))) % 152.04/152.33 (assume @p1005 (forall @t295 (=> @t2397 (=> @t2396 (_ @t2395 @t2368))))) % 152.04/152.33 (assume @p1006 (forall @t295 (= (_ @t2399 @t2368) (and (_ @t2399 @t265) (_ @t2399 @t264))))) % 152.04/152.33 (assume @p1007 (forall @t2179 (= @t2401 @t2400))) % 152.04/152.33 (assume @p1008 (forall @t2181 (= (_ (_ tptp.ord_less_eq_nat @t2378) @t2377) @t2400))) % 152.04/152.33 (assume @p1009 (forall @t273 (and (=> @t2335 @t2369) (=> @t2359 (= @t2368 (_ @t2167 (_ (_ tptp.times_times_nat @t1993) @t264))))))) % 152.04/152.33 (assume @p1010 (forall @t2408 (=> @t300 (= @t2407 (_ @t2280 @t2402))))) % 152.04/152.33 (assume @p1011 (forall @t295 (= @t2368 @t2398))) % 152.04/152.33 (assume @p1012 (forall @t377 (= (_ (_ tptp.times_times_nat @t2368) @t274) (_ @t2367 @t2377)))) % 152.04/152.33 (assume @p1013 (forall @t2415 (= (_ (_ tptp.ord_less_int @t2414) @t2413) @t2412))) % 152.04/152.33 (assume @p1014 (forall @t2417 (= (_ (_ tptp.times_times_int tptp.one_one_int) @t2416) @t2416))) % 152.04/152.33 (assume @p1015 (forall @t2417 (= (_ @t2418 tptp.one_one_int) @t2416))) % 152.04/152.33 (assume @p1016 (forall @t2421 (= (_ @t2418 @t2419) (_ @t2420 @t2416)))) % 152.04/152.33 (assume @p1017 (forall @t2424 (= (_ (_ tptp.times_times_int @t2423) @t2422) (_ tptp.number_number_of_int (_ (_ tptp.times_times_int @t2364) @t2419))))) % 152.04/152.33 (assume @p1018 (forall @t2430 (= (_ (_ tptp.times_times_int (_ @t2429 @t2426)) @t2425) (_ @t2429 (_ @t2427 @t2425))))) % 152.04/152.33 (assume @p1019 (forall @t2415 (= (_ (_ tptp.ord_less_eq_int @t2414) @t2413) @t2432))) % 152.04/152.33 (assume @p1020 (forall @t2436 (= (_ (_ tptp.times_times_int @t2435) @t2419) (_ (_ tptp.minus_minus_int @t2434) @t2433)))) % 152.04/152.33 (assume @p1021 (forall @t2439 (= (_ @t2420 @t2435) (_ (_ tptp.minus_minus_int @t2438) @t2437)))) % 152.04/152.33 (assume @p1022 (forall @t2439 (= (_ @t2420 @t2441) (_ (_ tptp.plus_plus_int @t2438) @t2437)))) % 152.04/152.33 (assume @p1023 (forall @t2424 (= (_ (_ tptp.plus_plus_int @t2423) @t2422) (_ tptp.number_number_of_int (_ @t2442 @t2419))))) % 152.04/152.33 (assume @p1024 (forall @t2436 (= (_ (_ tptp.times_times_int @t2441) @t2419) (_ (_ tptp.plus_plus_int @t2434) @t2433)))) % 152.04/152.33 (assume @p1025 (forall @t2450 (=> @t2449 (=> @t2447 (_ (_ tptp.ord_less_int (_ @t2444 @t2445)) (_ @t2444 @t2443)))))) % 152.04/152.33 (assume @p1026 (forall (@list @t2451 @t2452) (=> (_ @t2446 @t2452) (= (= @t2453 tptp.one_one_int) (and (= @t2452 tptp.one_one_int) (= @t2451 tptp.one_one_int)))))) % 152.04/152.33 (assume @p1027 (forall @t2417 (not (= @t2456 tptp.zero_zero_int)))) % 152.04/152.33 (assume @p1028 (forall @t2417 (= (_ @t2457 tptp.zero_zero_int) @t2416))) % 152.04/152.33 (assume @p1029 (forall @t2417 (= (_ (_ tptp.plus_plus_int tptp.zero_zero_int) @t2416) @t2416))) % 152.04/152.33 (assume @p1030 (_ @t2446 tptp.one_one_int)) % 152.04/152.33 (assume @p1031 (forall @t2417 (= (_ @t2458 @t2416) (_ @t2446 @t2416)))) % 152.04/152.33 (assume @p1032 (forall @t2415 (= @t2412 (_ (_ tptp.ord_less_int (_ @t2459 @t2409)) tptp.zero_zero_int)))) % 152.04/152.33 (assume @p1033 (forall @t2417 (=> @t2461 (_ @t2446 @t2455)))) % 152.04/152.33 (assume @p1034 (forall @t2417 (= (_ (_ tptp.ord_less_int @t2456) tptp.zero_zero_int) (_ @t2462 tptp.zero_zero_int)))) % 152.04/152.33 (assume @p1035 (forall @t2450 (=> @t2465 (_ (_ tptp.ord_less_eq_int (_ @t2463 @t2445)) (_ @t2463 @t2443))))) % 152.04/152.33 (assume @p1036 (forall @t2430 (= (_ (_ tptp.plus_plus_int @t2441) @t2425) (_ @t2440 (_ (_ tptp.plus_plus_int @t2426) @t2425))))) % 152.04/152.33 (assume @p1037 (forall (@list @t2466 @t2468 @t2416) (= (_ @t2467 (_ @t2469 @t2416)) (_ @t2469 (_ @t2467 @t2416))))) % 152.04/152.33 (assume @p1038 (forall @t2421 (= (_ @t2457 @t2419) @t2471))) % 152.04/152.33 (assume @p1039 (forall @t2473 (_ @t2472 @t2419))) % 152.04/152.33 (assume @p1040 (forall @t2421 (or @t2475 @t2474))) % 152.04/152.33 (assume @p1041 (forall @t2450 (=> @t2465 (=> (_ (_ tptp.ord_less_eq_int @t2443) @t2410) @t2476)))) % 152.04/152.33 (assume @p1042 (forall @t2421 (=> @t2475 (=> @t2474 @t2477)))) % 152.04/152.33 (assume @p1043 (forall @t2480 (= (_ @t2472 (_ (_ tptp.minus_minus_int @t2416) tptp.one_one_int)) @t2479))) % 152.04/152.33 (assume @p1044 (forall @t2482 (or (_ (_ tptp.ord_less_int @t2466) @t2468) @t2481 (_ (_ tptp.ord_less_int @t2468) @t2466)))) % 152.04/152.33 (assume @p1045 (forall @t2421 (= (_ @t2462 @t2419) (and @t2475 (not @t2477))))) % 152.04/152.33 (assume @p1046 (forall @t2450 (=> @t2449 (_ (_ tptp.ord_less_int (_ (_ tptp.plus_plus_int @t2445) @t2410)) (_ (_ tptp.plus_plus_int @t2443) @t2410))))) % 152.04/152.33 (assume @p1047 (forall (@list @t2483 @t2416 @t2484 @t2419) (=> (_ (_ tptp.ord_less_int @t2484) @t2419) (=> (_ (_ tptp.ord_less_eq_int @t2483) @t2416) (_ (_ tptp.ord_less_int (_ (_ tptp.plus_plus_int @t2484) @t2483)) @t2471))))) % 152.04/152.33 (assume @p1048 (forall @t2480 (= @t2485 @t2474))) % 152.04/152.33 (assume @p1049 (forall @t2480 (= @t2486 @t2479))) % 152.04/152.33 (assume @p1050 (forall @t2480 (=> @t2479 @t2486))) % 152.04/152.33 (assume @p1051 (forall @t2480 (= @t2485 (or @t2479 (= @t2419 @t2416))))) % 152.04/152.33 (assume @p1052 (forall @t2179 (= @t2375 (or @t2370 @t292)))) % 152.04/152.33 (assume @p1053 (forall (@list @t296 @t1805 @t298 @t274) (= (_ @t2405 (_ @t2403 @t274)) (_ (_ tptp.plus_plus_nat (_ (_ tptp.times_times_nat @t2261) @t1805)) @t274)))) % 152.04/152.33 (assume @p1054 (forall @t377 (=> @t2392 (= @t2375 @t292)))) % 152.04/152.33 (assume @p1055 (forall @t377 (=> @t2392 (= @t2394 @t2281)))) % 152.04/152.33 (assume @p1056 (forall @t377 (=> @t2392 (= @t2401 @t294)))) % 152.04/152.33 (assume @p1057 (forall @t2490 (=> @t2489 (= @t2488 (_ (_ tptp.ord_less_eq_nat @t2487) @t264))))) % 152.04/152.33 (assume @p1058 (forall @t2490 (=> @t2489 (= @t2491 (_ (_ tptp.minus_minus_nat @t2487) @t264))))) % 152.04/152.33 (assume @p1059 (forall @t2490 (=> @t2489 (= @t2492 (= @t2487 @t264))))) % 152.04/152.33 (assume @p1060 (forall @t2408 (=> @t300 (= @t2488 (_ @t293 @t2402))))) % 152.04/152.33 (assume @p1061 (forall @t2408 (=> @t300 (= @t2491 (_ @t266 @t2402))))) % 152.04/152.33 (assume @p1062 (forall @t2408 (=> @t300 (= @t2492 (= @t265 @t2402))))) % 152.04/152.33 (assume @p1063 (forall @t2490 (=> @t2489 (= @t2407 (_ (_ tptp.ord_less_nat @t2487) @t264))))) % 152.04/152.33 (assume @p1064 (forall @t2511 (=> @t2510 (=> @t2507 (=> @t2505 (=> @t2502 (=> @t2500 (=> @t2499 @t2496)))))))) % 152.04/152.33 (assume @p1065 (forall @t2516 (=> @t2515 (=> (_ (_ tptp.ord_less_eq_int @t2503) tptp.zero_zero_int) (=> (_ @t2514 @t2503) (=> (_ @t2514 @t2501) @t2513)))))) % 152.04/152.33 (assume @p1066 (forall @t2517 (= @t2414 @t2410))) % 152.04/152.33 (assume @p1067 (not (= tptp.zero_zero_int tptp.one_one_int))) % 152.04/152.33 (assume @p1068 (forall @t2521 (=> @t2520 (=> @t2519 (=> (_ @t2504 @t2518) (_ @t2458 @t2493)))))) % 152.04/152.33 (assume @p1069 (forall @t2521 (=> @t2520 (=> @t2519 (=> @t2522 (_ @t2512 tptp.one_one_int)))))) % 152.04/152.33 (assume @p1070 (forall @t2526 (=> @t2525 (=> @t2524 (=> @t2500 (_ @t2460 @t2494)))))) % 152.04/152.33 (assume @p1071 (forall @t2526 (=> @t2507 (=> @t2502 (=> @t2500 (_ @t2495 tptp.zero_zero_int)))))) % 152.04/152.33 (assume @p1072 (forall @t2516 (=> @t2515 (=> @t2502 (=> (_ @t2523 @t2497) (=> @t2505 @t2496)))))) % 152.04/152.33 (assume @p1073 (forall @t2511 (=> @t2510 (=> @t2525 (=> @t2524 (=> @t2522 (=> @t2500 (=> @t2499 @t2513)))))))) % 152.04/152.33 (assume @p1074 (forall @t2533 (=> (_ @t2448 @t2410) (=> (_ @t2527 (_ @t2459 tptp.one_one_int)) (=> (forall @t2532 (=> (_ (_ tptp.ord_less_int @t2529) @t2410) @t2531)) @t2528))))) % 152.04/152.33 (assume @p1075 (forall @t2533 (=> @t2476 (=> @t2535 @t2534)))) % 152.04/152.33 (assume @p1076 (forall @t2538 (=> (_ @t2411 @t2445) (=> (_ @t2527 @t2537) (=> (forall @t2532 (=> (_ @t2411 @t2529) @t2536)) @t2528))))) % 152.04/152.33 (assume @p1077 (forall @t2538 (=> (_ @t2431 @t2445) (=> @t2535 (=> @t2539 @t2528))))) % 152.04/152.33 (assume @p1078 (forall @t2542 (=> @t2541 (=> @t2540 (_ @t2460 (_ (_ tptp.times_times_int @t2466) @t2468)))))) % 152.04/152.33 (assume @p1079 (_ @t2460 tptp.zero_zero_int)) % 152.04/152.33 (assume @p1080 (forall @t2542 (=> @t2541 (=> @t2540 (_ @t2460 (_ @t2467 @t2468)))))) % 152.04/152.33 (assume @p1081 (_ @t2460 tptp.one_one_int)) % 152.04/152.33 (assume @p1082 (forall (@list @t2543 @t2527) (=> (forall @t263 (=> @t2545 @t2549)) (= @t2548 (_ tptp.collect_int (lambda @t263 (and @t2545 @t2544))))))) % 152.04/152.33 (assume @p1083 (forall @t2555 (=> @t2554 (=> (forall @t263 (=> @t2546 (_ @t2527 (_ @t2552 @t2550)))) (=> @t2553 (forall @t263 (=> @t2546 (_ @t2527 (_ @t2552 @t2551))))))))) % 152.04/152.33 (assume @p1084 (forall @t2559 (=> @t2558 (= (and @t2541 @t2557) (and @t2541 @t2556))))) % 152.04/152.33 (assume @p1085 (forall @t2559 (=> @t2558 (= (=> @t2541 @t2557) (=> @t2541 @t2556))))) % 152.04/152.33 (assume @p1086 (forall @t2555 (=> @t2554 (=> (forall @t263 (=> @t2546 (_ @t2527 (_ @t2560 @t2550)))) (=> @t2553 (forall @t263 (=> @t2546 (_ @t2527 (_ @t2560 @t2551))))))))) % 152.04/152.33 (assume @p1087 (forall (@list @t2445 @t2527 @t2410) (=> @t2535 (=> @t2539 @t2534)))) % 152.04/152.33 (assume @p1088 (forall (@list @t2527 @t2562 @t2550) (=> @t2554 (=> (forall @t2568 (= @t2563 (_ @t2562 @t2567))) (=> (exists @t2565 (forall @t263 (=> (_ (_ tptp.ord_less_int @t260) @t2564) (= @t2546 @t2563)))) (=> (_ tptp.ex @t2562) @t2561)))))) % 152.04/152.33 (assume @p1089 (forall (@list @t2527 @t2543 @t2550) (=> @t2554 (=> (forall @t2568 (= @t2544 (_ @t2543 @t2567))) (=> (exists @t2565 (forall @t263 (=> (_ (_ tptp.ord_less_int @t2564) @t260) @t2549))) (=> (_ tptp.ex @t2543) @t2561)))))) % 152.04/152.33 (assume @p1090 (forall @t2542 (and @t2572 (=> (not @t2570) (= @t2569 tptp.zero_zero_int))))) % 152.04/152.33 (assume @p1091 (forall @t284 (_ @t2460 @t2573))) % 152.04/152.33 (assume @p1092 (forall @t278 (not (_ (_ tptp.ord_less_int @t2574) tptp.zero_zero_int)))) % 152.04/152.33 (assume @p1093 (= @t2575 tptp.one_one_int)) % 152.04/152.33 (assume @p1094 (= @t2576 tptp.zero_zero_int)) % 152.04/152.33 (assume @p1095 (forall @t284 (= (= @t2573 tptp.zero_zero_int) @t2331))) % 152.04/152.33 (assume @p1096 (forall @t295 (= (_ (_ tptp.ord_less_int @t2577) @t2573) @t2281))) % 152.04/152.33 (assume @p1097 (forall @t295 (= (_ (_ tptp.ord_less_eq_int @t2577) @t2573) @t294))) % 152.04/152.33 (assume @p1098 (forall @t295 (= (_ @t2579 @t2573) @t2578))) % 152.04/152.33 (assume @p1099 (forall (@list @t265 @t264 @t2416) (= (_ @t2579 (_ (_ tptp.plus_plus_int @t2573) @t2416)) (_ (_ tptp.plus_plus_int @t2578) @t2416)))) % 152.04/152.33 (assume @p1100 (forall @t2480 (= @t2474 (exists @t277 (= @t2416 (_ @t2470 @t2580)))))) % 152.04/152.33 (assume @p1101 (forall @t295 (= @t2582 @t2581))) % 152.04/152.33 (assume @p1102 (forall @t295 (= @t2581 @t2582))) % 152.04/152.33 (assume @p1103 (forall @t288 (= (_ (_ tptp.times_times_int @t2584) @t2583) (_ tptp.semiri1621563631at_int (_ (_ tptp.times_times_nat @t286) @t285))))) % 152.04/152.33 (assume @p1104 (forall @t288 (= (_ (_ tptp.ord_less_int @t2584) @t2583) @t2285))) % 152.04/152.33 (assume @p1105 (forall @t288 (= (_ (_ tptp.ord_less_eq_int @t2584) @t2583) @t2275))) % 152.04/152.33 (assume @p1106 (forall @t288 (= (_ (_ tptp.nat_tsub @t2584) @t2583) @t2585))) % 152.04/152.33 (assume @p1107 (forall @t288 (= (_ (_ tptp.plus_plus_int @t2584) @t2583) (_ tptp.semiri1621563631at_int (_ @t2172 @t285))))) % 152.04/152.33 (assume @p1108 (forall @t2589 (= (_ tptp.finite_card_nat @t2586) (_ tptp.finite_card_int @t2588)))) % 152.04/152.33 (assume @p1109 (forall @t2589 (= (_ tptp.finite_finite_nat @t2586) (_ tptp.finite_finite_int @t2588)))) % 152.04/152.33 (assume @p1110 (= tptp.one_one_int @t2575)) % 152.04/152.33 (assume @p1111 (= tptp.zero_zero_int @t2576)) % 152.04/152.33 (assume @p1112 (forall @t2591 (= @t2548 (_ @t2587 (_ tptp.collect_nat (lambda @t259 @t2590)))))) % 152.04/152.33 (assume @p1113 (forall (@list @t2171) (_ @t2460 (_ tptp.semiri1621563631at_int @t2171)))) % 152.04/152.33 (assume @p1114 (forall @t2591 (= (exists @t263 @t2547) (exists @t259 @t2590)))) % 152.04/152.33 (assume @p1115 (forall @t2591 (= (forall @t263 (=> @t2545 @t2546)) (forall @t259 @t2590)))) % 152.04/152.33 (assume @p1116 (forall @t284 (= (_ (_ tptp.ord_less_eq_int @t2573) tptp.zero_zero_int) @t2331))) % 152.04/152.33 (assume @p1117 (= (_ tptp.semiri1621563631at_int @t2340) tptp.one_one_int)) % 152.04/152.33 (assume @p1118 (forall @t2480 (= @t2479 (exists @t277 (= @t2416 (_ @t2470 (_ tptp.semiri1621563631at_int @t628))))))) % 152.04/152.33 (assume @p1119 (forall @t2334 (= (_ tptp.semiri1621563631at_int @t268) (_ @t2454 @t2577)))) % 152.04/152.33 (assume @p1120 (forall @t273 (=> @t272 (= (_ (_ tptp.minus_minus_int @t2577) @t2573) (_ tptp.semiri1621563631at_int @t267))))) % 152.04/152.33 (assume @p1121 (forall @t284 (= (_ @t2446 @t2573) @t2336))) % 152.04/152.33 (assume @p1122 (forall (@list @t274 @t2445 @t2443) (=> @t2449 (=> @t2392 (_ (_ tptp.ord_less_int (_ @t2592 @t2445)) (_ @t2592 @t2443)))))) % 152.04/152.33 (assume @p1123 (forall @t2542 (=> @t2541 (=> @t2540 (_ @t2460 @t2569))))) % 152.04/152.33 (assume @p1124 (forall (@list @t2527 @t286 @t285) (= (_ @t2527 @t2585) (and (=> (_ (_ tptp.ord_less_eq_nat @t285) @t286) (_ @t2527 (_ (_ tptp.minus_minus_int @t2584) @t2583))) (=> @t2285 (_ @t2527 tptp.zero_zero_int)))))) % 152.04/152.33 (assume @p1125 (forall @t2542 @t2572)) % 152.04/152.33 (assume @p1126 (forall @t2517 (=> @t2447 (exists @t277 (and (_ @t2330 @t275) @t2593))))) % 152.04/152.33 (assume @p1127 (forall @t295 (= (= @t2577 @t2573) @t292))) % 152.04/152.33 (assume @p1128 (forall @t2596 (= (_ (_ tptp.ord_less_nat_o @t2586) @t2594) (_ (_ tptp.ord_less_int_o @t2588) @t2595)))) % 152.04/152.33 (assume @p1129 (forall @t2596 (= (_ (_ tptp.ord_less_eq_nat_o @t2586) @t2594) (_ (_ tptp.ord_less_eq_int_o @t2588) @t2595)))) % 152.04/152.33 (assume @p1130 (= tptp.bot_bot_int_o (_ @t2587 tptp.bot_bot_nat_o))) % 152.04/152.33 (assume @p1131 (forall @t2596 (= (= @t2586 @t2594) (= @t2588 @t2595)))) % 152.04/152.33 (assume @p1132 (forall (@list @t286 @t2586) (= (_ (_ tptp.member_nat @t286) @t2586) (_ (_ tptp.member_int @t2584) @t2588)))) % 152.04/152.33 (assume @p1133 (forall (@list @t286 @t285 @t2557) (and (=> @t2557 (= @t2584 @t2597)) (=> (not @t2557) (= @t2583 @t2597))))) % 152.04/152.33 (assume @p1134 (forall @t288 (= (= @t2584 @t2583) @t287))) % 152.04/152.33 (assume @p1135 (forall @t2517 (=> @t2553 (not (forall @t277 (not @t2593)))))) % 152.04/152.33 (assume @p1136 (forall @t2417 (=> @t2461 (not (forall @t744 (not (= @t2416 @t2598))))))) % 152.04/152.33 (assume @p1137 (forall @t2517 (=> @t2553 (exists @t277 @t2593)))) % 152.04/152.33 (assume @p1138 (forall @t2417 (not (forall @t2323 (not (= @t2416 (_ (_ tptp.minus_minus_int @t2598) @t2580))))))) % 152.04/152.33 (assume @p1139 (forall (@list @t2466 @t2416 @t2550) (=> @t2554 (_ (_ tptp.ord_less_int (_ @t2571 @t2599)) @t2416)))) % 152.04/152.33 (assume @p1140 (forall @t2417 (= (_ (_ tptp.ord_less_int (_ tptp.abs_abs_int @t2416)) tptp.one_one_int) (= @t2416 tptp.zero_zero_int)))) % 152.04/152.33 (assume @p1141 (forall (@list @t2600) (= (_ tptp.nat_neg @t2600) (_ (_ tptp.ord_less_int @t2600) tptp.zero_zero_int)))) % 152.04/152.33 (assume @p1142 (forall (@list @t2466) (= (not (_ tptp.nat_neg @t2466)) @t2541))) % 152.04/152.33 (assume @p1143 (not (_ tptp.nat_neg tptp.one_one_int))) % 152.04/152.33 (assume @p1144 (not (_ tptp.nat_neg tptp.zero_zero_int))) % 152.04/152.33 (assume @p1145 (forall (@list @t2452 @t2451) (=> (= (_ tptp.abs_abs_int @t2453) tptp.one_one_int) (= (_ tptp.abs_abs_int @t2452) tptp.one_one_int)))) % 152.04/152.33 (assume @p1146 (forall @t284 (not (_ tptp.nat_neg @t2573)))) % 152.04/152.33 (assume @p1147 (forall @t2334 (= (_ tptp.abs_abs_int @t2577) @t2577))) % 152.04/152.33 (assume @p1148 (forall @t2366 (=> @t2601 (= @t2365 tptp.zero_zero_nat)))) % 152.04/152.33 (assume @p1149 (forall (@list @t2364 @t2602) (= (= @t2365 @t2607) (and (=> @t2601 (_ (_ tptp.ord_less_eq_int @t2603) tptp.zero_zero_int)) (=> @t2606 (and (=> @t2604 (= @t2423 tptp.zero_zero_int)) (=> @t2605 (= @t2364 @t2602)))))))) % 152.04/152.33 (assume @p1150 (forall (@list @t2602 @t274 @t2364) (and (=> @t2601 (= @t2610 @t2608)) (=> @t2606 (and (=> @t2604 (= @t2610 (_ @t2609 @t274))) (=> @t2605 (= @t2610 (_ (_ tptp.plus_plus_nat (_ tptp.number_number_of_nat (_ @t2442 @t2602))) @t274)))))))) % 152.04/152.33 (assume @p1151 (forall @t2366 (and (=> @t2601 (= @t2611 tptp.zero_zero_int)) (=> @t2606 (= @t2611 @t2423))))) % 152.04/152.33 (assume @p1152 (forall (@list @t2416 @t2466 @t2550) (=> @t2554 (_ @t2462 (_ @t2467 @t2599))))) % 152.04/152.33 (assume @p1153 (forall (@list @t2410 @t2612 @t264) (=> (forall @t283 (=> @t2311 @t2616)) (=> (_ (_ tptp.ord_less_eq_int (_ @t2612 tptp.zero_zero_nat)) @t2410) (=> @t2615 (exists @t283 (and @t282 @t2614))))))) % 152.04/152.33 (assume @p1154 (forall (@list @t2410 @t2612 @t264 @t265) (=> (forall @t283 (=> (and @t2617 @t2311) @t2616)) (=> @t2281 (=> (_ (_ tptp.ord_less_eq_int (_ @t2612 @t265)) @t2410) (=> @t2615 (exists @t283 (and @t2617 @t282 @t2614)))))))) % 152.04/152.33 (assume @p1155 (forall (@list @t264 @t2364) (and (=> @t2601 (= @t2619 @t2268)) (=> @t2606 (= @t2619 (_ (_ tptp.plus_plus_nat @t2618) @t264)))))) % 152.04/152.33 (assume @p1156 (forall @t2517 (= (_ tptp.succ @t2410) @t2537))) % 152.04/152.33 (assume @p1157 (forall @t2366 (and (=> @t2601 (= @t2620 tptp.one_one_nat)) (=> @t2606 (= @t2620 @t2618))))) % 152.04/152.33 (assume @p1158 (forall @t2473 (and (=> @t2624 (= @t2623 tptp.zero_zero_nat)) (=> (not @t2624) (= @t2623 (_ tptp.suc (_ (_ tptp.plus_plus_nat @t2621) @t2621))))))) % 152.04/152.33 (assume @p1159 (forall @t2366 (and (=> @t2626 (= @t2625 tptp.one_one_nat)) (=> (not @t2626) (= @t2625 @t2618))))) % 152.04/152.33 (assume @p1160 (= (_ tptp.succ tptp.pls) @t2627)) % 152.04/152.33 (assume @p1161 (forall @t2473 (= (_ tptp.nat_neg (_ tptp.number_number_of_int @t2622)) @t2624))) % 152.04/152.33 (assume @p1162 (not (_ tptp.nat_neg @t2628))) % 152.04/152.33 (assume @p1163 (= @t2631 (_ tptp.semiri1621563631at_int @t2630))) % 152.04/152.33 (assume @p1164 (= @t2632 @t2340)) % 152.04/152.33 (assume @p1165 (= @t2630 (_ tptp.suc (_ tptp.suc @t2340)))) % 152.04/152.33 (assume @p1166 (forall @t284 (= (_ tptp.suc (_ tptp.suc @t279)) (_ (_ tptp.plus_plus_nat @t2630) @t264)))) % 152.04/152.33 (assume @p1167 (= tptp.one_one_nat @t2632)) % 152.04/152.33 (assume @p1168 (= @t2632 tptp.one_one_nat)) % 152.04/152.33 (assume @p1169 (= tptp.one_one_int (_ tptp.number_number_of_int @t2627))) % 152.04/152.33 (assume @p1170 (= tptp.zero_zero_int @t2628)) % 152.04/152.33 (assume @p1171 (forall @t2517 (= @t2633 (_ (_ tptp.plus_plus_int (_ @t2454 @t2410)) @t2410)))) % 152.04/152.33 (assume @p1172 (= @t2634 tptp.zero_zero_nat)) % 152.04/152.33 (assume @p1173 (= tptp.zero_zero_nat @t2634)) % 152.04/152.33 (assume @p1174 (= tptp.pls tptp.zero_zero_int)) % 152.04/152.33 (assume @p1175 (forall @t2415 (= (= @t2633 @t2635) (= @t2410 @t2409)))) % 152.04/152.33 (assume @p1176 (forall @t2517 (not (= @t2633 tptp.pls)))) % 152.04/152.33 (assume @p1177 (forall (@list @t2409) (not (= tptp.pls @t2635)))) % 152.04/152.33 (assume @p1178 (forall @t2517 (= (_ @t2459 tptp.pls) @t2410))) % 152.04/152.33 (assume @p1179 (forall @t2517 (= (_ (_ tptp.plus_plus_int tptp.pls) @t2410) @t2410))) % 152.04/152.33 (assume @p1180 (forall @t2517 (= (_ @t2463 tptp.pls) @t2410))) % 152.04/152.33 (assume @p1181 (forall @t2473 (= (_ (_ tptp.times_times_int tptp.pls) @t2419) tptp.pls))) % 152.04/152.33 (assume @p1182 (_ @t2460 @t2631)) % 152.04/152.33 (assume @p1183 (_ @t2636 tptp.pls)) % 152.04/152.33 (assume @p1184 (forall @t2517 (= (_ @t2636 @t2633) @t2637))) % 152.04/152.33 (assume @p1185 (forall @t2415 (= (_ @t2638 @t2635) @t2432))) % 152.04/152.33 (assume @p1186 (forall @t2643 (= (_ (_ tptp.ord_less_eq_int @t2642) @t2641) (_ (_ tptp.ord_less_eq_int @t2640) @t2639)))) % 152.04/152.33 (assume @p1187 (not (_ @t2644 tptp.pls))) % 152.04/152.33 (assume @p1188 (forall @t2517 (= (_ @t2646 tptp.pls) @t2645))) % 152.04/152.33 (assume @p1189 (forall @t2415 (= (_ @t2646 @t2635) @t2412))) % 152.04/152.33 (assume @p1190 (forall @t2643 (= (_ (_ tptp.ord_less_int @t2642) @t2641) (_ (_ tptp.ord_less_int @t2640) @t2639)))) % 152.04/152.33 (assume @p1191 (forall @t2517 (= (_ @t2638 tptp.pls) @t2645))) % 152.04/152.33 (assume @p1192 (forall @t2517 (= (_ @t2644 @t2633) @t2637))) % 152.04/152.33 (assume @p1193 (forall @t2651 (or (not @t2650) @t2649))) % 152.04/152.33 (assume @p1194 (forall @t2651 (or (not @t2649) @t2650))) % 152.04/152.33 (assume @p1195 (forall @t288 (= (_ (_ (_ tptp.if_nat true) @t286) @t285) @t286))) % 152.04/152.33 (assume @p1196 (forall @t288 (= (_ (_ (_ tptp.if_nat false) @t286) @t285) @t285))) % 152.04/152.33 (assume @p1197 (forall (@list @t2557) (or (= @t2557 true) (= @t2557 false)))) % 152.04/152.33 (assume @p1198 (forall @t2482 (or (not @t2652) @t2481))) % 152.04/152.33 (assume @p1199 (forall @t2482 (or (not @t2481) @t2652))) % 152.04/152.33 (assume @p1200 (forall @t288 (or (not @t2653) @t287))) % 152.04/152.33 (assume @p1201 (forall @t288 (or @t2286 @t2653))) % 152.04/152.33 (assume @p1202 (_ tptp.finite_finite_pname tptp.u)) % 152.04/152.33 (assume @p1203 @t2655) % 152.04/152.33 (assume @p1204 (_ (_ tptp.ord_less_eq_nat @t2657) @t2656)) % 152.04/152.33 (assume @p1205 (= (_ tptp.finite_card_a tptp.g) (_ (_ tptp.minus_minus_nat @t2656) @t2657))) % 152.04/152.33 (assume @p1206 @t2658) % 152.04/152.33 (assume @p1207 (not (_ (_ tptp.member_a @t2659) tptp.g))) % 152.04/152.33 (assume @p1208 @t2660) % 152.04/152.33 (assume @p1209 true) % 152.04/152.33 ; WARNING: add trust step for TRUST % 152.04/152.33 ; trust TRUST PREPROCESS_HO_ELIM % 152.04/152.33 (step @p1210 :rule trust :premises () :args ((= (forall @t2679 @t2678) @t2673))) % 152.04/152.33 (step @p1211 :rule aci_norm :args ((= (or false @t2677 @t2675) @t2678))) % 152.04/152.33 (step @p1212 :rule refl :args (@t2675)) % 152.04/152.33 (step @p1213 :rule refl :args (@t2677)) % 152.04/152.33 (step @p1214 :rule evaluate :args ((not true))) % 152.04/152.33 (step @p1215 :rule eq-refl :args (@t2674)) % 152.04/152.33 (step @p1216 :rule cong :premises (@p1215) :args (@t2680)) % 152.04/152.33 (step @p1217 :rule trans :premises (@p1216 @p1214)) % 152.04/152.33 (step @p1218 :rule nary_cong :premises (@p1217 @p1213 @p1212) :args (@t2681)) % 152.04/152.33 (step @p1219 :rule trans :premises (@p1218 @p1211)) % 152.04/152.33 (step @p1220 :rule cong :premises (@p1219) :args ((forall @t2679 @t2681))) % 152.04/152.33 (step @p1221 :rule quant-var-elim-eq :args ((= (forall @t2685 @t2684) @t2681))) % 152.04/152.33 (step @p1222 :rule aci_norm :args ((= @t2686 @t2684))) % 152.04/152.33 (step @p1223 :rule cong :premises (@p1222) :args (@t2687)) % 152.04/152.33 (step @p1224 :rule trans :premises (@p1223 @p1221)) % 152.04/152.33 (step @p1225 :rule cong :premises (@p1224) :args (@t2688)) % 152.04/152.33 (step @p1226 :rule quant-merge-prenex :args ((= @t2688 @t2689))) % 152.04/152.33 (step @p1227 :rule symm :premises (@p1226)) % 152.04/152.33 (step @p1228 :rule quant_var_reordering :args ((= (forall @t680 @t2686) @t2689))) % 152.04/152.33 (step @p1229 :rule trans :premises (@p1228 @p1227 @p1225)) % 152.04/152.33 (step @p1230 :rule trans :premises (@p1229 @p1220)) % 152.04/152.33 (step @p1231 :rule refl :args (@t2682)) % 152.04/152.33 (step @p1232 :rule refl :args (@t674)) % 152.04/152.33 (step @p1233 :rule cong :premises (@p1232 @p1231) :args ((= @t674 @t2682))) % 152.04/152.33 (step @p1234 :rule symm :premises (@p1233)) % 152.04/152.33 (step @p1235 :rule eq_resolve :premises (@p1232 @p1234)) % 152.04/152.33 (step @p1236 :rule refl :args (@t2676)) % 152.04/152.33 (step @p1237 :rule refl :args (@t676)) % 152.04/152.33 (step @p1238 :rule cong :premises (@p1237 @p1236) :args ((= @t676 @t2676))) % 152.04/152.33 (step @p1239 :rule symm :premises (@p1238)) % 152.04/152.33 (step @p1240 :rule eq_resolve :premises (@p1237 @p1239)) % 152.04/152.33 (step @p1241 :rule cong :premises (@p1240) :args (@t2690)) % 152.04/152.33 (step @p1242 :rule refl :args (@t2674)) % 152.04/152.33 (step @p1243 :rule refl :args (@t678)) % 152.04/152.33 (step @p1244 :rule cong :premises (@p1243 @p1242) :args ((= @t678 @t2674))) % 152.04/152.33 (step @p1245 :rule symm :premises (@p1244)) % 152.04/152.33 (step @p1246 :rule eq_resolve :premises (@p1243 @p1245)) % 152.04/152.33 (step @p1247 :rule refl :args (@t673)) % 152.04/152.33 (step @p1248 :rule cong :premises (@p1247 @p1246) :args (@t679)) % 152.04/152.33 (step @p1249 :rule cong :premises (@p1248) :args (@t2691)) % 152.04/152.33 (step @p1250 :rule nary_cong :premises (@p1249 @p1241 @p1235) :args (@t2692)) % 152.04/152.33 (step @p1251 :rule cong :premises (@p1250) :args ((forall @t680 @t2692))) % 152.04/152.33 (step @p1252 :rule trans :premises (@p1251 @p1230)) % 152.04/152.33 (step @p1253 :rule aci_norm :args ((= (or @t2691 (or @t2690 @t674)) @t2692))) % 152.04/152.33 (step @p1254 :rule bool-impl-elim :args (@t676 @t674)) % 152.04/152.33 (step @p1255 :rule refl :args (@t2691)) % 152.04/152.33 (step @p1256 :rule nary_cong :premises (@p1255 @p1254) :args ((or @t2691 @t677))) % 152.04/152.33 (step @p1257 :rule trans :premises (@p1256 @p1253)) % 152.04/152.33 (step @p1258 :rule bool-impl-elim :args (@t679 @t677)) % 152.04/152.33 (step @p1259 :rule trans :premises (@p1258 @p1257)) % 152.04/152.33 (step @p1260 :rule cong :premises (@p1259) :args (@t681)) % 152.04/152.33 (step @p1261 :rule trans :premises (@p1260 @p1252)) % 152.04/152.33 (step @p1262 :rule trans :premises (@p1261 @p1210)) % 152.04/152.33 (step @p1263 :rule eq_resolve :premises (@p284 @p1262)) % 152.04/152.33 (step @p1264 :rule eq-symm :args (@t2700 @t2701)) % 152.04/152.33 (step @p1265 :rule cong :premises (@p1264) :args (@t2703)) % 152.04/152.33 ; trust TRUST PREPROCESS_HO_ELIM % 152.04/152.33 (step @p1266 :rule trust :premises () :args ((= (forall @t1184 (= @t2706 (and @t2705 @t2704))) @t2703))) % 152.04/152.33 (step @p1267 :rule refl :args (@t2704)) % 152.04/152.33 (step @p1268 :rule refl :args (@t1177)) % 152.04/152.33 (step @p1269 :rule cong :premises (@p1268 @p1267) :args ((= @t1177 @t2704))) % 152.04/152.33 (step @p1270 :rule symm :premises (@p1269)) % 152.04/152.33 (step @p1271 :rule eq_resolve :premises (@p1268 @p1270)) % 152.04/152.33 (step @p1272 :rule refl :args (@t2705)) % 152.04/152.33 (step @p1273 :rule refl :args (@t1179)) % 152.04/152.33 (step @p1274 :rule cong :premises (@p1273 @p1272) :args ((= @t1179 @t2705))) % 152.04/152.33 (step @p1275 :rule symm :premises (@p1274)) % 152.04/152.33 (step @p1276 :rule eq_resolve :premises (@p1273 @p1275)) % 152.04/152.33 (step @p1277 :rule nary_cong :premises (@p1276 @p1271) :args (@t1180)) % 152.04/152.33 (step @p1278 :rule refl :args (@t2706)) % 152.04/152.33 (step @p1279 :rule refl :args (@t1182)) % 152.04/152.33 (step @p1280 :rule cong :premises (@p1279 @p1278) :args ((= @t1182 @t2706))) % 152.04/152.33 (step @p1281 :rule symm :premises (@p1280)) % 152.04/152.33 (step @p1282 :rule eq_resolve :premises (@p1279 @p1281)) % 152.04/152.33 (step @p1283 :rule cong :premises (@p1282 @p1277) :args (@t1183)) % 152.04/152.33 (step @p1284 :rule cong :premises (@p1283) :args (@t1185)) % 152.04/152.33 (step @p1285 :rule trans :premises (@p1284 @p1266 @p1265)) % 152.04/152.33 (step @p1286 :rule eq_resolve :premises (@p454 @p1285)) % 152.04/152.33 (step @p1287 :rule eq-symm :args (@t2714 @t2715)) % 152.04/152.33 (step @p1288 :rule refl :args (@t2716)) % 152.04/152.33 (step @p1289 :rule cong :premises (@p1288 @p1287) :args ((=> @t2716 @t2717))) % 152.04/152.33 (assume-push @p1318 @t2716) % 152.04/152.33 (step @p1291 :rule instantiate :premises (@p1286) :args ((@list @t2712 @t2710 @t2709))) % 152.04/152.33 (step-pop @p1319 :rule scope :premises (@p1291)) % 152.04/152.33 (step @p1292 :rule process_scope :premises (@p1319) :args (@t2717)) % 152.04/152.33 (step @p1294 :rule eq_resolve :premises (@p1292 @p1289)) % 152.04/152.33 (step @p1295 :rule implies_elim :premises (@p1294)) % 152.04/152.33 (step @p1296 :rule chain_m_resolution :premises (@p1295 @p1286) :args (@t2718 (@list false) (@list @t2716))) % 152.04/152.33 ; trust TRUST PREPROCESS_HO_ELIM % 152.04/152.33 (step @p1297 :rule trust :premises () :args ((= @t2660 (not @t2715)))) % 152.04/152.33 (step @p1298 :rule eq_resolve :premises (@p1208 @p1297)) % 152.04/152.33 (step @p1299 :rule cnf_equiv_pos2 :args (@t2718)) % 152.04/152.33 (step @p1300 :rule reordering :premises (@p1299) :args ((or @t2715 @t2719 (not @t2718)))) % 152.04/152.33 (step @p1301 :rule chain_m_resolution :premises (@p1300 @p1298 @p1296) :args (@t2719 @t2720 (@list @t2715 @t2718))) % 152.04/152.33 ; trust TRUST PREPROCESS_HO_ELIM % 152.04/152.33 (step @p1302 :rule trust :premises () :args ((= @t2655 @t2711))) % 152.04/152.33 (step @p1303 :rule eq_resolve :premises (@p1203 @p1302)) % 152.04/152.33 (step @p1304 :rule cnf_and_neg :args (@t2714)) % 152.04/152.33 (step @p1305 :rule reordering :premises (@p1304) :args ((or (not @t2711) @t2714 @t2721))) % 152.04/152.33 (step @p1306 :rule chain_m_resolution :premises (@p1305 @p1303 @p1301) :args (@t2721 @t2722 (@list @t2711 @t2714))) % 152.04/152.33 ; trust TRUST PREPROCESS_HO_ELIM % 152.04/152.33 (step @p1307 :rule trust :premises () :args ((= @t2658 @t2723))) % 152.04/152.33 (step @p1308 :rule eq_resolve :premises (@p1206 @p1307)) % 152.04/152.33 (step @p1309 :rule cnf_or_pos :args (@t2725)) % 152.04/152.33 (step @p1310 :rule reordering :premises (@p1309) :args ((or @t2724 @t2713 @t2726))) % 152.04/152.33 (step @p1311 :rule chain_m_resolution :premises (@p1310 @p1308 @p1306) :args (@t2726 @t2722 (@list @t2723 @t2713))) % 152.04/152.33 (assume-push @p1320 @t2673) % 152.04/152.33 (step @p1313 :rule instantiate :premises (@p1263) :args ((@list @t2707 @t2708 tptp.pn))) % 152.04/152.34 (step-pop @p1321 :rule scope :premises (@p1313)) % 152.04/152.34 (step @p1314 :rule process_scope :premises (@p1321) :args (@t2725)) % 152.04/152.34 (step @p1316 :rule implies_elim :premises (@p1314)) % 152.04/152.34 (step @p1317 false :rule chain_m_resolution :premises (@p1316 @p1311 @p1263) :args (false @t2720 (@list @t2725 @t2673))) % 152.04/152.34 ) % 152.04/152.34 % SZS output end Proof % 152.04/152.34 % cvc5 exiting %------------------------------------------------------------------------------