%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP078^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:59 AM UTC 2026 % Result : Theorem 0.44s 0.93s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ITP078^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:13:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.37/0.61 %----Proving TH0 % 0.44/0.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.93 % SZS status Theorem % 0.44/0.93 % SZS output start Proof % 0.44/0.93 ( % 0.44/0.93 (declare-sort tptp.nat 0) % 0.44/0.93 (declare-sort tptp.int 0) % 0.44/0.93 (declare-sort tptp.set_int 0) % 0.44/0.93 (declare-sort tptp.multiset_a 0) % 0.44/0.93 (declare-sort tptp.multiset_nat 0) % 0.44/0.93 (declare-sort tptp.a 0) % 0.44/0.93 (declare-sort tptp.real 0) % 0.44/0.93 (declare-sort tptp.set_nat 0) % 0.44/0.93 (declare-sort tptp.set_real 0) % 0.44/0.93 (declare-sort tptp.list_a 0) % 0.44/0.93 (declare-sort tptp.set_list_a 0) % 0.44/0.93 (declare-sort tptp.list_nat 0) % 0.44/0.93 (declare-sort tptp.set_a 0) % 0.44/0.93 (declare-sort tptp.multiset_int 0) % 0.44/0.93 (declare-const tptp.image_nat_int (-> (-> tptp.nat tptp.int) tptp.set_nat tptp.set_int)) % 0.44/0.93 (declare-const tptp.inj_on_nat_int (-> (-> tptp.nat tptp.int) tptp.set_nat Bool)) % 0.44/0.93 (declare-const tptp.image_nat_nat (-> (-> tptp.nat tptp.nat) tptp.set_nat tptp.set_nat)) % 0.44/0.93 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.44/0.93 (declare-const tptp.nth_a (-> tptp.list_a tptp.nat tptp.a)) % 0.44/0.93 (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int)) % 0.44/0.93 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.44/0.93 (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat)) % 0.44/0.93 (declare-const tptp.nat2 (-> tptp.int tptp.nat)) % 0.44/0.93 (declare-const tptp.uminus_uminus_int (-> tptp.int tptp.int)) % 0.44/0.93 (declare-const tptp.zero_zero_int tptp.int) % 0.44/0.93 (declare-const tptp.if_int (-> Bool tptp.int tptp.int tptp.int)) % 0.44/0.93 (declare-const tptp.semiri2110766477t_real (-> tptp.nat tptp.real)) % 0.44/0.93 (declare-const tptp.uminus_uminus_real (-> tptp.real tptp.real)) % 0.44/0.93 (declare-const tptp.if_real (-> Bool tptp.real tptp.real tptp.real)) % 0.44/0.93 (declare-const tptp.ord_less_eq_set_int (-> tptp.set_int tptp.set_int Bool)) % 0.44/0.93 (declare-const tptp.ord_less_eq_set_nat (-> tptp.set_nat tptp.set_nat Bool)) % 0.44/0.93 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.44/0.93 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 0.44/0.93 (declare-const tptp.inverse_inverse_real (-> tptp.real tptp.real)) % 0.44/0.93 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.inj_on_int_int (-> (-> tptp.int tptp.int) tptp.set_int Bool)) % 0.44/0.93 (declare-const tptp.comp_m346803701et_nat (-> (-> tptp.multiset_nat tptp.nat) (-> tptp.multiset_nat tptp.multiset_nat) tptp.multiset_nat tptp.nat)) % 0.44/0.93 (declare-const tptp.size_multiset_a (-> (-> tptp.a tptp.nat) tptp.multiset_a tptp.nat)) % 0.44/0.93 (declare-const tptp.size_multiset_nat (-> (-> tptp.nat tptp.nat) tptp.multiset_nat tptp.nat)) % 0.44/0.93 (declare-const tptp.inj_on_nat_real (-> (-> tptp.nat tptp.real) tptp.set_nat Bool)) % 0.44/0.93 (declare-const tptp.map_tailrec_nat_a (-> (-> tptp.nat tptp.a) tptp.list_nat tptp.list_a)) % 0.44/0.93 (declare-const tptp.gen_length_a (-> tptp.nat tptp.list_a tptp.nat)) % 0.44/0.93 (declare-const tptp.mset_nat (-> tptp.list_nat tptp.multiset_nat)) % 0.44/0.93 (declare-const tptp.map_a_nat (-> (-> tptp.a tptp.nat) tptp.list_a tptp.list_nat)) % 0.44/0.93 (declare-const tptp.image_mset_a_a (-> (-> tptp.a tptp.a) tptp.multiset_a tptp.multiset_a)) % 0.44/0.93 (declare-const tptp.member_list_a (-> tptp.list_a tptp.set_list_a Bool)) % 0.44/0.93 (declare-const tptp.comp_a_a_nat (-> (-> tptp.a tptp.a) (-> tptp.nat tptp.a) tptp.nat tptp.a)) % 0.44/0.93 (declare-const tptp.zero_zero_real tptp.real) % 0.44/0.93 (declare-const tptp.comp_int_int_nat (-> (-> tptp.int tptp.int) (-> tptp.nat tptp.int) tptp.nat tptp.int)) % 0.44/0.93 (declare-const tptp.map_nat_nat (-> (-> tptp.nat tptp.nat) tptp.list_nat tptp.list_nat)) % 0.44/0.93 (declare-const tptp.ord_less_set_nat (-> tptp.set_nat tptp.set_nat Bool)) % 0.44/0.93 (declare-const tptp.map_a_a (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a)) % 0.44/0.93 (declare-const tptp.map_nat_a (-> (-> tptp.nat tptp.a) tptp.list_nat tptp.list_a)) % 0.44/0.93 (declare-const tptp.comp_l728830689st_nat (-> (-> tptp.list_nat tptp.list_a) (-> tptp.list_nat tptp.list_nat) tptp.list_nat tptp.list_a)) % 0.44/0.93 (declare-const tptp.ord_less_set_real (-> tptp.set_real tptp.set_real Bool)) % 0.44/0.93 (declare-const tptp.xs tptp.list_a) % 0.44/0.93 (declare-const tptp.image_mset_nat_a (-> (-> tptp.nat tptp.a) tptp.multiset_nat tptp.multiset_a)) % 0.44/0.93 (declare-const tptp.image_mset_a_nat (-> (-> tptp.a tptp.nat) tptp.multiset_a tptp.multiset_nat)) % 0.44/0.93 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 0.44/0.93 (declare-const tptp.comp_l1234327363st_nat (-> (-> tptp.list_a tptp.list_a) (-> tptp.list_nat tptp.list_a) tptp.list_nat tptp.list_a)) % 0.44/0.93 (declare-const tptp.ord_less_real (-> tptp.real tptp.real Bool)) % 0.44/0.93 (declare-const tptp.comp_m1512105363et_nat (-> (-> tptp.multiset_a tptp.nat) (-> tptp.multiset_nat tptp.multiset_a) tptp.multiset_nat tptp.nat)) % 0.44/0.93 (declare-const tptp.set_or562006527an_nat (-> tptp.nat tptp.nat tptp.set_nat)) % 0.44/0.93 (declare-const tptp.comp_a_nat_nat (-> (-> tptp.a tptp.nat) (-> tptp.nat tptp.a) tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.nth_nat (-> tptp.list_nat tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.f (-> tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat)) % 0.44/0.93 (declare-const tptp.mset_set_a (-> tptp.set_a tptp.multiset_a)) % 0.44/0.93 (declare-const tptp.mset_set_nat (-> tptp.set_nat tptp.multiset_nat)) % 0.44/0.93 (declare-const tptp.size_size_multiset_a (-> tptp.multiset_a tptp.nat)) % 0.44/0.93 (declare-const tptp.image_mset_nat_nat (-> (-> tptp.nat tptp.nat) tptp.multiset_nat tptp.multiset_nat)) % 0.44/0.93 (declare-const tptp.zero_zero_nat tptp.nat) % 0.44/0.93 (declare-const tptp.ys tptp.list_a) % 0.44/0.93 (declare-const tptp.zero_z2005226153et_nat tptp.multiset_nat) % 0.44/0.93 (declare-const tptp.bij_betw_nat_a (-> (-> tptp.nat tptp.a) tptp.set_nat tptp.set_a Bool)) % 0.44/0.93 (declare-const tptp.mset_a (-> tptp.list_a tptp.multiset_a)) % 0.44/0.93 (declare-const tptp.set_ord_lessThan_nat (-> tptp.nat tptp.set_nat)) % 0.44/0.93 (declare-const tptp.upt (-> tptp.nat tptp.nat tptp.list_nat)) % 0.44/0.93 (declare-const tptp.bij_betw_nat_real (-> (-> tptp.nat tptp.real) tptp.set_nat tptp.set_real Bool)) % 0.44/0.93 (declare-const tptp.size_s1679505588et_nat (-> tptp.multiset_nat tptp.nat)) % 0.44/0.93 (declare-const tptp.member_int (-> tptp.int tptp.set_int Bool)) % 0.44/0.93 (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.set_or1211449801n_real (-> tptp.real tptp.set_real)) % 0.44/0.93 (declare-const tptp.inj_on_int_nat (-> (-> tptp.int tptp.nat) tptp.set_int Bool)) % 0.44/0.93 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 0.44/0.93 (declare-const tptp.mset_set_int (-> tptp.set_int tptp.multiset_int)) % 0.44/0.93 (declare-const tptp.image_mset_nat_int (-> (-> tptp.nat tptp.int) tptp.multiset_nat tptp.multiset_int)) % 0.44/0.93 (declare-const tptp.set_ord_lessThan_int (-> tptp.int tptp.set_int)) % 0.44/0.93 (declare-const tptp.comp_nat_nat_nat (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.image_nat_a (-> (-> tptp.nat tptp.a) tptp.set_nat tptp.set_a)) % 0.44/0.93 (declare-const tptp.inj_on_nat_a (-> (-> tptp.nat tptp.a) tptp.set_nat Bool)) % 0.44/0.93 (declare-const tptp.zero_zero_multiset_a tptp.multiset_a) % 0.44/0.93 (declare-const tptp.comp_int_nat_nat (-> (-> tptp.int tptp.nat) (-> tptp.nat tptp.int) tptp.nat tptp.nat)) % 0.44/0.93 (declare-const tptp.ord_less_set_int (-> tptp.set_int tptp.set_int Bool)) % 0.44/0.93 (declare-const tptp.comp_m1844659105et_nat (-> (-> tptp.multiset_nat tptp.multiset_a) (-> tptp.multiset_nat tptp.multiset_nat) tptp.multiset_nat tptp.multiset_a)) % 0.44/0.93 (declare-const tptp.image_int_nat (-> (-> tptp.int tptp.nat) tptp.set_int tptp.set_nat)) % 0.44/0.93 (declare-const tptp.comp_m540523139et_nat (-> (-> tptp.multiset_a tptp.multiset_a) (-> tptp.multiset_nat tptp.multiset_a) tptp.multiset_nat tptp.multiset_a)) % 0.44/0.93 (declare-const tptp.image_int_int (-> (-> tptp.int tptp.int) tptp.set_int tptp.set_int)) % 0.44/0.93 (declare-const tptp.comp_nat_int_nat (-> (-> tptp.nat tptp.int) (-> tptp.nat tptp.nat) tptp.nat tptp.int)) % 0.44/0.93 (declare-const tptp.set_or2075149659n_real (-> tptp.real tptp.real tptp.set_real)) % 0.44/0.93 (declare-const tptp.set_or1199280219an_int (-> tptp.int tptp.int tptp.set_int)) % 0.44/0.93 (declare-const tptp.image_nat_real (-> (-> tptp.nat tptp.real) tptp.set_nat tptp.set_real)) % 0.44/0.93 (declare-const tptp.comp_m1962190563et_nat (-> (-> tptp.multiset_a tptp.multiset_nat) (-> tptp.multiset_nat tptp.multiset_a) tptp.multiset_nat tptp.multiset_nat)) % 0.44/0.93 (declare-const tptp.comp_m1386984005et_nat (-> (-> tptp.multiset_nat tptp.multiset_nat) (-> tptp.multiset_nat tptp.multiset_nat) tptp.multiset_nat tptp.multiset_nat)) % 0.44/0.93 (define tptp.bij_betw_nat_int () (let ((_let_1 (@var "B" tptp.set_int))) (let ((_let_2 (@var "A3" tptp.set_nat))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.int)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ (_ tptp.inj_on_nat_int _let_3) _let_2) (= (_ (_ tptp.image_nat_int _let_3) _let_2) _let_1))))))) % 0.44/0.93 (define tptp.inj_on_nat_nat () (let ((_let_1 (@var "Y3" tptp.nat))) (let ((_let_2 (@var "X2" tptp.nat))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.nat)))) (let ((_let_4 (@var "A3" tptp.set_nat))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member_nat _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) % 0.44/0.93 (define tptp.bij_betw_nat_nat () (let ((_let_1 (@var "B" tptp.set_nat))) (let ((_let_2 (@var "A3" tptp.set_nat))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.nat)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ (_ tptp.inj_on_nat_nat _let_3) _let_2) (= (_ (_ tptp.image_nat_nat _let_3) _let_2) _let_1))))))) % 0.44/0.93 (define tptp.comp_nat_a_nat () (let ((_let_1 (@var "X2" tptp.nat))) (let ((_let_2 (@var "G2" (-> tptp.nat tptp.nat)))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.a)))) (lambda (@list _let_3 _let_2 _let_1) (_ _let_3 (_ _let_2 _let_1))))))) % 0.44/0.93 (define tptp.ord_less_nat () (let ((_let_1 (@var "B4" tptp.nat))) (let ((_let_2 (@var "A7" tptp.nat))) (lambda (@list _let_2 _let_1) (_ (_ tptp.ord_less_int (_ tptp.semiri2019852685at_int _let_2)) (_ tptp.semiri2019852685at_int _let_1)))))) % 0.44/0.93 (define tptp.list_ex_a () (let ((_let_1 (@var "N4" tptp.nat))) (let ((_let_2 (@var "Xs3" tptp.list_a))) (let ((_let_3 (@var "P2" (-> tptp.a Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_a _let_2)) (_ _let_3 (_ (_ tptp.nth_a _let_2) _let_1))))))))) % 0.44/0.93 (define tptp.ring_1_of_int_int () (let ((_let_1 (@var "K2" tptp.int))) (lambda (@list _let_1) (_ (_ (_ tptp.if_int (_ (_ tptp.ord_less_int _let_1) tptp.zero_zero_int)) (_ tptp.uminus_uminus_int (_ tptp.semiri2019852685at_int (_ tptp.nat2 (_ tptp.uminus_uminus_int _let_1))))) (_ tptp.semiri2019852685at_int (_ tptp.nat2 _let_1)))))) % 0.44/0.93 (define tptp.ring_1_of_int_real () (let ((_let_1 (@var "K2" tptp.int))) (lambda (@list _let_1) (_ (_ (_ tptp.if_real (_ (_ tptp.ord_less_int _let_1) tptp.zero_zero_int)) (_ tptp.uminus_uminus_real (_ tptp.semiri2110766477t_real (_ tptp.nat2 (_ tptp.uminus_uminus_int _let_1))))) (_ tptp.semiri2110766477t_real (_ tptp.nat2 _let_1)))))) % 0.44/0.93 (define @t1 () (_ tptp.size_size_list_a tptp.xs)) % 0.44/0.93 (define @t2 () (_ tptp.set_or562006527an_nat tptp.zero_zero_nat)) % 0.44/0.93 (define @t3 () (_ @t2 @t1)) % 0.44/0.93 (define @t4 () (_ tptp.image_mset_nat_nat tptp.f)) % 0.44/0.93 (define @t5 () (_ tptp.nth_a tptp.ys)) % 0.44/0.93 (define @t6 () (_ tptp.image_mset_nat_a @t5)) % 0.44/0.93 (define @t7 () (_ @t6 (_ @t4 (_ tptp.mset_set_nat @t3)))) % 0.44/0.93 (define @t8 () (_ tptp.mset_a tptp.xs)) % 0.44/0.93 (define @t9 () (@var "I" tptp.nat)) % 0.44/0.93 (define @t10 () (_ tptp.ord_less_nat @t9)) % 0.44/0.93 (define @t11 () (_ tptp.size_size_list_a tptp.ys)) % 0.44/0.93 (define @t12 () (_ @t2 @t11)) % 0.44/0.93 (define @t13 () (_ tptp.image_nat_nat tptp.f)) % 0.44/0.93 (define @t14 () (_ tptp.set_ord_lessThan_nat @t11)) % 0.44/0.93 (define @t15 () (_ tptp.set_ord_lessThan_nat @t1)) % 0.44/0.93 (define @t16 () (_ (_ tptp.map_nat_a (_ (_ tptp.comp_nat_a_nat @t5) tptp.f)) (_ (_ tptp.upt tptp.zero_zero_nat) @t1))) % 0.44/0.93 (define @t17 () (_ tptp.mset_a @t16)) % 0.44/0.93 (define @t18 () (@var "N" tptp.nat)) % 0.44/0.93 (define @t19 () (@var "Xs" tptp.list_a)) % 0.44/0.93 (define @t20 () (_ tptp.size_size_list_a @t19)) % 0.44/0.93 (define @t21 () (@list @t19)) % 0.44/0.93 (define @t22 () (@list @t18)) % 0.44/0.93 (define @t23 () (@var "Ys" tptp.list_a)) % 0.44/0.93 (define @t24 () (@var "Xs2" tptp.list_a)) % 0.44/0.93 (define @t25 () (= @t24 @t23)) % 0.44/0.93 (define @t26 () (_ tptp.size_size_list_a @t23)) % 0.44/0.93 (define @t27 () (_ tptp.size_size_list_a @t24)) % 0.44/0.93 (define @t28 () (= @t27 @t26)) % 0.44/0.93 (define @t29 () (@list @t24 @t23)) % 0.44/0.93 (define @t30 () (@var "Y" tptp.list_a)) % 0.44/0.93 (define @t31 () (@var "X" tptp.list_a)) % 0.44/0.93 (define @t32 () (not (= @t31 @t30))) % 0.44/0.93 (define @t33 () (_ tptp.size_size_list_a @t30)) % 0.44/0.93 (define @t34 () (_ tptp.size_size_list_a @t31)) % 0.44/0.93 (define @t35 () (= @t18 tptp.zero_zero_nat)) % 0.44/0.93 (define @t36 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.44/0.93 (define @t37 () (_ @t36 @t18)) % 0.44/0.93 (define @t38 () (@var "A" tptp.nat)) % 0.44/0.93 (define @t39 () (@list @t38)) % 0.44/0.93 (define @t40 () (_ tptp.ord_less_nat @t18)) % 0.44/0.93 (define @t41 () (not @t35)) % 0.44/0.93 (define @t42 () (@var "Xs2" tptp.list_nat)) % 0.44/0.93 (define @t43 () (@var "G" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t44 () (@var "F" (-> tptp.a tptp.a))) % 0.44/0.93 (define @t45 () (_ tptp.comp_a_a_nat @t44)) % 0.44/0.93 (define @t46 () (_ @t45 @t43)) % 0.44/0.93 (define @t47 () (_ tptp.map_nat_a @t46)) % 0.44/0.93 (define @t48 () (_ tptp.map_nat_a @t43)) % 0.44/0.93 (define @t49 () (_ tptp.map_a_a @t44)) % 0.44/0.93 (define @t50 () (@var "G" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t51 () (@var "F" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t52 () (_ tptp.comp_nat_a_nat @t51)) % 0.44/0.93 (define @t53 () (_ @t52 @t50)) % 0.44/0.93 (define @t54 () (_ tptp.map_nat_a @t53)) % 0.44/0.93 (define @t55 () (_ tptp.map_nat_nat @t50)) % 0.44/0.93 (define @t56 () (_ tptp.map_nat_a @t51)) % 0.44/0.93 (define @t57 () (@list @t44 @t43)) % 0.44/0.93 (define @t58 () (@list @t51 @t50)) % 0.44/0.93 (define @t59 () (@var "V" tptp.list_nat)) % 0.44/0.93 (define @t60 () (@var "G" (-> tptp.a tptp.a))) % 0.44/0.93 (define @t61 () (_ (_ tptp.comp_a_a_nat @t60) @t51)) % 0.44/0.93 (define @t62 () (_ tptp.map_a_a @t60)) % 0.44/0.93 (define @t63 () (@var "F" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t64 () (_ tptp.comp_nat_a_nat @t43)) % 0.44/0.93 (define @t65 () (_ @t64 @t63)) % 0.44/0.93 (define @t66 () (_ tptp.map_nat_nat @t63)) % 0.44/0.93 (define @t67 () (@var "List" tptp.list_nat)) % 0.44/0.93 (define @t68 () (_ tptp.size_size_list_nat @t42)) % 0.44/0.93 (define @t69 () (_ @t56 @t42)) % 0.44/0.93 (define @t70 () (@list @t51 @t42)) % 0.44/0.93 (define @t71 () (_ @t49 @t24)) % 0.44/0.93 (define @t72 () (@list @t44 @t24)) % 0.44/0.93 (define @t73 () (_ tptp.nth_a @t24)) % 0.44/0.93 (define @t74 () (@var "M" tptp.nat)) % 0.44/0.93 (define @t75 () (_ @t40 @t74)) % 0.44/0.93 (define @t76 () (_ tptp.ord_less_nat @t74)) % 0.44/0.93 (define @t77 () (_ @t76 @t18)) % 0.44/0.93 (define @t78 () (= @t74 @t18)) % 0.44/0.93 (define @t79 () (not @t78)) % 0.44/0.93 (define @t80 () (@list @t74 @t18)) % 0.44/0.93 (define @t81 () (@list @t18 @t74)) % 0.44/0.93 (define @t82 () (@var "T" tptp.nat)) % 0.44/0.93 (define @t83 () (@var "S" tptp.nat)) % 0.44/0.93 (define @t84 () (@var "P" (-> tptp.nat Bool))) % 0.44/0.93 (define @t85 () (_ @t84 @t18)) % 0.44/0.93 (define @t86 () (@var "N2" tptp.nat)) % 0.44/0.93 (define @t87 () (_ @t84 @t86)) % 0.44/0.93 (define @t88 () (@var "M2" tptp.nat)) % 0.44/0.93 (define @t89 () (_ @t84 @t88)) % 0.44/0.93 (define @t90 () (_ (_ tptp.ord_less_nat @t88) @t86)) % 0.44/0.93 (define @t91 () (@list @t88)) % 0.44/0.93 (define @t92 () (@list @t86)) % 0.44/0.93 (define @t93 () (@list @t84 @t18)) % 0.44/0.93 (define @t94 () (=> (not @t87) (exists @t91 (and @t90 (not @t89))))) % 0.44/0.93 (define @t95 () (@var "X" tptp.nat)) % 0.44/0.93 (define @t96 () (@var "Y" tptp.nat)) % 0.44/0.93 (define @t97 () (= @t95 @t96)) % 0.44/0.93 (define @t98 () (not @t97)) % 0.44/0.93 (define @t99 () (@list @t95 @t96)) % 0.44/0.93 (define @t100 () (@var "Ys" tptp.list_nat)) % 0.44/0.93 (define @t101 () (_ tptp.size_size_list_nat @t100)) % 0.44/0.93 (define @t102 () (= @t68 @t101)) % 0.44/0.93 (define @t103 () (_ @t48 @t100)) % 0.44/0.93 (define @t104 () (_ tptp.ord_less_nat @t38)) % 0.44/0.93 (define @t105 () (_ @t36 @t86)) % 0.44/0.93 (define @t106 () (_ @t84 tptp.zero_zero_nat)) % 0.44/0.93 (define @t107 () (@var "P" (-> tptp.list_a Bool))) % 0.44/0.93 (define @t108 () (@var "Ys2" tptp.list_a)) % 0.44/0.93 (define @t109 () (@var "X2" tptp.nat)) % 0.44/0.93 (define @t110 () (_ @t84 @t109)) % 0.44/0.93 (define @t111 () (_ tptp.member_nat @t109)) % 0.44/0.93 (define @t112 () (_ @t111 (_ @t2 @t18))) % 0.44/0.93 (define @t113 () (@list @t109)) % 0.44/0.93 (define @t114 () (@var "M3" tptp.nat)) % 0.44/0.93 (define @t115 () (_ @t84 @t114)) % 0.44/0.93 (define @t116 () (_ (_ tptp.ord_less_nat @t114) @t18)) % 0.44/0.93 (define @t117 () (@list @t114)) % 0.44/0.93 (define @t118 () (@list @t18 @t84)) % 0.44/0.93 (define @t119 () (@var "I2" tptp.nat)) % 0.44/0.93 (define @t120 () (@var "Ys3" tptp.list_a)) % 0.44/0.93 (define @t121 () (@var "Xs3" tptp.list_a)) % 0.44/0.93 (define @t122 () (_ tptp.nth_a @t121)) % 0.44/0.93 (define @t123 () (_ @t122 @t119)) % 0.44/0.93 (define @t124 () (_ tptp.size_size_list_a @t121)) % 0.44/0.93 (define @t125 () (_ tptp.ord_less_nat @t119)) % 0.44/0.93 (define @t126 () (@list @t119)) % 0.44/0.93 (define @t127 () (@var "Z" tptp.list_a)) % 0.44/0.93 (define @t128 () (@var "Y2" tptp.list_a)) % 0.44/0.93 (define @t129 () (@var "P" (-> tptp.nat tptp.a Bool))) % 0.44/0.93 (define @t130 () (_ @t129 @t119)) % 0.44/0.93 (define @t131 () (@var "K" tptp.nat)) % 0.44/0.93 (define @t132 () (_ @t125 @t131)) % 0.44/0.93 (define @t133 () (@var "X3" tptp.a)) % 0.44/0.93 (define @t134 () (@var "I3" tptp.nat)) % 0.44/0.93 (define @t135 () (@var "X" tptp.int)) % 0.44/0.93 (define @t136 () (@var "X" tptp.real)) % 0.44/0.93 (define @t137 () (@list @t136)) % 0.44/0.93 (define @t138 () (_ tptp.mset_a @t24)) % 0.44/0.93 (define @t139 () (_ tptp.image_mset_a_a @t44)) % 0.44/0.93 (define @t140 () (@var "F" (-> tptp.a tptp.nat))) % 0.44/0.93 (define @t141 () (_ tptp.image_mset_a_nat @t140)) % 0.44/0.93 (define @t142 () (_ tptp.mset_nat @t42)) % 0.44/0.93 (define @t143 () (_ tptp.image_mset_nat_a @t51)) % 0.44/0.93 (define @t144 () (_ tptp.image_mset_nat_nat @t63)) % 0.44/0.93 (define @t145 () (@var "K" tptp.int)) % 0.44/0.93 (define @t146 () (@var "I" tptp.int)) % 0.44/0.93 (define @t147 () (_ tptp.ord_less_int @t146)) % 0.44/0.93 (define @t148 () (_ tptp.member_int @t146)) % 0.44/0.93 (define @t149 () (@var "K" tptp.real)) % 0.44/0.93 (define @t150 () (@var "I" tptp.real)) % 0.44/0.93 (define @t151 () (_ tptp.ord_less_real @t150)) % 0.44/0.93 (define @t152 () (_ tptp.member_real @t150)) % 0.44/0.93 (define @t153 () (_ tptp.member_nat @t9)) % 0.44/0.93 (define @t154 () (@var "A2" tptp.set_nat)) % 0.44/0.93 (define @t155 () (@var "F" (-> tptp.nat tptp.int))) % 0.44/0.93 (define @t156 () (_ tptp.image_nat_int @t155)) % 0.44/0.93 (define @t157 () (_ @t156 @t154)) % 0.44/0.93 (define @t158 () (_ tptp.mset_set_nat @t154)) % 0.44/0.93 (define @t159 () (_ tptp.inj_on_nat_int @t155)) % 0.44/0.93 (define @t160 () (_ @t159 @t154)) % 0.44/0.93 (define @t161 () (@list @t155 @t154)) % 0.44/0.93 (define @t162 () (_ tptp.image_nat_a @t51)) % 0.44/0.93 (define @t163 () (_ tptp.image_nat_nat @t63)) % 0.44/0.93 (define @t164 () (_ @t163 @t154)) % 0.44/0.93 (define @t165 () (_ tptp.mset_set_nat @t164)) % 0.44/0.93 (define @t166 () (_ @t144 @t158)) % 0.44/0.93 (define @t167 () (= @t166 @t165)) % 0.44/0.93 (define @t168 () (_ tptp.inj_on_nat_nat @t63)) % 0.44/0.93 (define @t169 () (_ @t168 @t154)) % 0.44/0.93 (define @t170 () (=> @t169 @t167)) % 0.44/0.93 (define @t171 () (@list @t63 @t154)) % 0.44/0.93 (define @t172 () (forall @t171 @t170)) % 0.44/0.93 (define @t173 () (@var "B2" tptp.set_int)) % 0.44/0.93 (define @t174 () (_ (_ tptp.bij_betw_nat_int @t155) @t154)) % 0.44/0.93 (define @t175 () (_ @t174 @t173)) % 0.44/0.93 (define @t176 () (= @t157 @t173)) % 0.44/0.93 (define @t177 () (@list @t155 @t154 @t173)) % 0.44/0.93 (define @t178 () (@var "B2" tptp.set_nat)) % 0.44/0.93 (define @t179 () (_ (_ tptp.bij_betw_nat_nat @t63) @t154)) % 0.44/0.93 (define @t180 () (_ @t179 @t178)) % 0.44/0.93 (define @t181 () (= @t164 @t178)) % 0.44/0.93 (define @t182 () (@list @t63 @t154 @t178)) % 0.44/0.93 (define @t183 () (@var "G" (-> tptp.int tptp.nat))) % 0.44/0.93 (define @t184 () (_ (_ tptp.comp_int_nat_nat @t183) @t155)) % 0.44/0.93 (define @t185 () (_ (_ tptp.inj_on_nat_nat @t184) @t154)) % 0.44/0.93 (define @t186 () (_ (_ tptp.inj_on_int_nat @t183) @t157)) % 0.44/0.93 (define @t187 () (_ (_ tptp.inj_on_nat_a @t65) @t154)) % 0.44/0.93 (define @t188 () (_ (_ tptp.inj_on_nat_a @t43) @t164)) % 0.44/0.93 (define @t189 () (_ tptp.comp_nat_nat_nat @t50)) % 0.44/0.93 (define @t190 () (_ @t189 @t63)) % 0.44/0.93 (define @t191 () (_ (_ tptp.inj_on_nat_nat @t190) @t154)) % 0.44/0.93 (define @t192 () (_ tptp.inj_on_nat_nat @t50)) % 0.44/0.93 (define @t193 () (_ @t192 @t164)) % 0.44/0.93 (define @t194 () (@var "F3" (-> tptp.int tptp.nat))) % 0.44/0.93 (define @t195 () (@var "F3" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t196 () (_ (_ tptp.comp_nat_a_nat @t195) @t63)) % 0.44/0.93 (define @t197 () (_ (_ tptp.inj_on_nat_a @t196) @t154)) % 0.44/0.93 (define @t198 () (@var "F3" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t199 () (_ (_ tptp.comp_nat_nat_nat @t198) @t63)) % 0.44/0.93 (define @t200 () (_ (_ tptp.inj_on_nat_nat @t199) @t154)) % 0.44/0.93 (define @t201 () (_ tptp.set_ord_lessThan_nat @t96)) % 0.44/0.93 (define @t202 () (_ tptp.set_ord_lessThan_nat @t95)) % 0.44/0.93 (define @t203 () (@var "M4" tptp.multiset_nat)) % 0.44/0.93 (define @t204 () (= @t203 tptp.zero_z2005226153et_nat)) % 0.44/0.93 (define @t205 () (_ @t143 @t203)) % 0.44/0.93 (define @t206 () (@list @t51 @t203)) % 0.44/0.93 (define @t207 () (_ @t144 @t203)) % 0.44/0.93 (define @t208 () (@list @t63 @t203)) % 0.44/0.93 (define @t209 () (_ tptp.size_s1679505588et_nat @t203)) % 0.44/0.93 (define @t210 () (_ (_ tptp.set_or562006527an_nat @t74) @t18)) % 0.44/0.93 (define @t211 () (_ (_ tptp.ord_less_set_nat @t154) @t178)) % 0.44/0.93 (define @t212 () (@var "V" tptp.nat)) % 0.44/0.93 (define @t213 () (@var "C" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t214 () (@var "B3" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t215 () (@var "A" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t216 () (_ @t215 (_ @t214 @t212))) % 0.44/0.93 (define @t217 () (_ (_ tptp.comp_nat_a_nat @t215) @t214)) % 0.44/0.93 (define @t218 () (@var "V2" tptp.nat)) % 0.44/0.93 (define @t219 () (@var "D" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t220 () (= @t217 (_ (_ tptp.comp_nat_a_nat @t213) @t219))) % 0.44/0.93 (define @t221 () (@var "H" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t222 () (@var "X4" tptp.nat)) % 0.44/0.93 (define @t223 () (_ @t63 @t222)) % 0.44/0.93 (define @t224 () (_ @t50 @t223)) % 0.44/0.93 (define @t225 () (_ tptp.member_nat @t222)) % 0.44/0.93 (define @t226 () (_ @t225 @t154)) % 0.44/0.93 (define @t227 () (@list @t222)) % 0.44/0.93 (define @t228 () (@list @t154 @t50 @t63)) % 0.44/0.93 (define @t229 () (_ @t63 @t95)) % 0.44/0.93 (define @t230 () (= @t229 (_ @t63 @t96))) % 0.44/0.93 (define @t231 () (_ (_ tptp.member_nat @t96) @t154)) % 0.44/0.93 (define @t232 () (_ (_ tptp.member_nat @t95) @t154)) % 0.44/0.93 (define @t233 () (@list @t63 @t154 @t95 @t96)) % 0.44/0.93 (define @t234 () (_ @t192 @t154)) % 0.44/0.93 (define @t235 () (@var "A4" tptp.nat)) % 0.44/0.93 (define @t236 () (forall (@list @t235) (=> (_ (_ tptp.member_nat @t235) @t154) (= (_ @t63 @t235) (_ @t50 @t235))))) % 0.44/0.93 (define @t237 () (@var "Y4" tptp.nat)) % 0.44/0.93 (define @t238 () (@var "G2" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t239 () (_ @t238 @t109)) % 0.44/0.93 (define @t240 () (@var "F2" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t241 () (@var "A3" tptp.set_nat)) % 0.44/0.93 (define @t242 () (@var "B" tptp.set_nat)) % 0.44/0.93 (define @t243 () (_ @t240 @t109)) % 0.44/0.93 (define @t244 () (_ @t111 @t241)) % 0.44/0.93 (define @t245 () (@list @t240 @t241 @t242)) % 0.44/0.93 (define @t246 () (@var "A5" tptp.set_nat)) % 0.44/0.93 (define @t247 () (_ tptp.bij_betw_nat_nat @t50)) % 0.44/0.93 (define @t248 () (_ @t179 @t246)) % 0.44/0.93 (define @t249 () (@var "G3" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t250 () (@var "X5" tptp.nat)) % 0.44/0.93 (define @t251 () (_ @t63 @t250)) % 0.44/0.93 (define @t252 () (_ tptp.member_nat @t250)) % 0.44/0.93 (define @t253 () (_ @t252 @t154)) % 0.44/0.93 (define @t254 () (@list @t250)) % 0.44/0.93 (define @t255 () (@var "X6" tptp.multiset_a)) % 0.44/0.93 (define @t256 () (@var "X6" tptp.multiset_nat)) % 0.44/0.93 (define @t257 () (@var "Xs" tptp.list_nat)) % 0.44/0.93 (define @t258 () (@var "H" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t259 () (_ tptp.comp_nat_a_nat @t258)) % 0.44/0.93 (define @t260 () (_ tptp.image_nat_nat @t50)) % 0.44/0.93 (define @t261 () (= @t164 (_ @t260 @t178))) % 0.44/0.93 (define @t262 () (_ tptp.comp_nat_nat_nat @t221)) % 0.44/0.93 (define @t263 () (@var "H" (-> tptp.nat tptp.int))) % 0.44/0.93 (define @t264 () (_ tptp.comp_nat_int_nat @t263)) % 0.44/0.93 (define @t265 () (@var "G" (-> tptp.nat tptp.int))) % 0.44/0.93 (define @t266 () (@var "H" (-> tptp.int tptp.nat))) % 0.44/0.93 (define @t267 () (_ tptp.comp_int_nat_nat @t266)) % 0.44/0.93 (define @t268 () (_ tptp.image_nat_int @t265)) % 0.44/0.93 (define @t269 () (= @t157 (_ @t268 @t178))) % 0.44/0.93 (define @t270 () (@var "H" (-> tptp.int tptp.int))) % 0.44/0.93 (define @t271 () (_ tptp.comp_int_int_nat @t270)) % 0.44/0.93 (define @t272 () (@var "R" tptp.set_nat)) % 0.44/0.93 (define @t273 () (_ @t260 @t272)) % 0.44/0.93 (define @t274 () (@var "F" (-> tptp.int tptp.nat))) % 0.44/0.93 (define @t275 () (_ @t268 @t272)) % 0.44/0.93 (define @t276 () (@var "F" (-> tptp.int tptp.int))) % 0.44/0.93 (define @t277 () (_ (_ tptp.comp_nat_nat_nat @t63) @t50)) % 0.44/0.93 (define @t278 () (@var "D" tptp.real)) % 0.44/0.93 (define @t279 () (@var "B3" tptp.real)) % 0.44/0.93 (define @t280 () (= @t279 @t278)) % 0.44/0.93 (define @t281 () (@var "C" tptp.real)) % 0.44/0.93 (define @t282 () (_ (_ tptp.ord_less_real @t281) @t278)) % 0.44/0.93 (define @t283 () (@var "A" tptp.real)) % 0.44/0.93 (define @t284 () (_ tptp.ord_less_real @t283)) % 0.44/0.93 (define @t285 () (_ @t284 @t279)) % 0.44/0.93 (define @t286 () (= (_ (_ tptp.set_or2075149659n_real @t283) @t279) (_ (_ tptp.set_or2075149659n_real @t281) @t278))) % 0.44/0.93 (define @t287 () (@list @t283 @t279 @t281 @t278)) % 0.44/0.93 (define @t288 () (@var "D" tptp.nat)) % 0.44/0.93 (define @t289 () (@var "B3" tptp.nat)) % 0.44/0.93 (define @t290 () (= @t289 @t288)) % 0.44/0.93 (define @t291 () (@var "C" tptp.nat)) % 0.44/0.93 (define @t292 () (_ (_ tptp.ord_less_nat @t291) @t288)) % 0.44/0.93 (define @t293 () (_ @t104 @t289)) % 0.44/0.93 (define @t294 () (_ (_ tptp.set_or562006527an_nat @t38) @t289)) % 0.44/0.93 (define @t295 () (= @t294 (_ (_ tptp.set_or562006527an_nat @t291) @t288))) % 0.44/0.93 (define @t296 () (@list @t38 @t289 @t291 @t288)) % 0.44/0.93 (define @t297 () (@var "D" tptp.int)) % 0.44/0.93 (define @t298 () (@var "B3" tptp.int)) % 0.44/0.93 (define @t299 () (= @t298 @t297)) % 0.44/0.93 (define @t300 () (@var "C" tptp.int)) % 0.44/0.93 (define @t301 () (_ (_ tptp.ord_less_int @t300) @t297)) % 0.44/0.93 (define @t302 () (@var "A" tptp.int)) % 0.44/0.93 (define @t303 () (_ tptp.ord_less_int @t302)) % 0.44/0.93 (define @t304 () (_ @t303 @t298)) % 0.44/0.93 (define @t305 () (= (_ (_ tptp.set_or1199280219an_int @t302) @t298) (_ (_ tptp.set_or1199280219an_int @t300) @t297))) % 0.44/0.93 (define @t306 () (@list @t302 @t298 @t300 @t297)) % 0.44/0.93 (define @t307 () (= @t283 @t281)) % 0.44/0.93 (define @t308 () (= @t38 @t291)) % 0.44/0.93 (define @t309 () (= @t302 @t300)) % 0.44/0.93 (define @t310 () (@var "N" tptp.int)) % 0.44/0.93 (define @t311 () (@var "M" tptp.int)) % 0.44/0.93 (define @t312 () (@var "N" tptp.real)) % 0.44/0.93 (define @t313 () (@var "M" tptp.real)) % 0.44/0.93 (define @t314 () (@var "Xa" tptp.nat)) % 0.44/0.93 (define @t315 () (_ @t50 @t222)) % 0.44/0.93 (define @t316 () (@var "A6" tptp.set_a)) % 0.44/0.93 (define @t317 () (@var "A6" tptp.set_nat)) % 0.44/0.93 (define @t318 () (@var "C2" tptp.set_a)) % 0.44/0.93 (define @t319 () (@var "C2" tptp.set_nat)) % 0.44/0.93 (define @t320 () (@var "V" tptp.multiset_nat)) % 0.44/0.93 (define @t321 () (_ @t143 @t320)) % 0.44/0.93 (define @t322 () (@var "G" (-> tptp.a tptp.nat))) % 0.44/0.93 (define @t323 () (_ (_ tptp.comp_a_nat_nat @t322) @t51)) % 0.44/0.93 (define @t324 () (_ @t144 @t320)) % 0.44/0.93 (define @t325 () (_ tptp.image_mset_nat_a @t43)) % 0.44/0.93 (define @t326 () (_ tptp.image_mset_nat_nat @t50)) % 0.44/0.93 (define @t327 () (@var "Multiset" tptp.multiset_nat)) % 0.44/0.93 (define @t328 () (_ tptp.image_mset_nat_a @t46)) % 0.44/0.93 (define @t329 () (_ @t325 @t327)) % 0.44/0.93 (define @t330 () (_ tptp.image_mset_nat_nat (_ (_ tptp.comp_a_nat_nat @t140) @t43))) % 0.44/0.93 (define @t331 () (_ tptp.image_mset_nat_a @t53)) % 0.44/0.93 (define @t332 () (_ @t326 @t327)) % 0.44/0.93 (define @t333 () (_ tptp.image_mset_nat_nat @t277)) % 0.44/0.93 (define @t334 () (_ (_ tptp.member_nat @t289) @t164)) % 0.44/0.93 (define @t335 () (= @t289 @t229)) % 0.44/0.93 (define @t336 () (_ (_ tptp.member_int @t298) @t157)) % 0.44/0.93 (define @t337 () (_ @t155 @t95)) % 0.44/0.93 (define @t338 () (= @t298 @t337)) % 0.44/0.93 (define @t339 () (@var "A2" tptp.set_list_a)) % 0.44/0.93 (define @t340 () (_ (_ tptp.image_nat_a @t65) @t154)) % 0.44/0.93 (define @t341 () (@var "Sup" (-> tptp.set_a tptp.a))) % 0.44/0.93 (define @t342 () (_ (_ tptp.image_nat_a @t43) @t164)) % 0.44/0.93 (define @t343 () (_ (_ tptp.image_nat_nat @t184) @t154)) % 0.44/0.93 (define @t344 () (@var "Sup" (-> tptp.set_nat tptp.nat))) % 0.44/0.93 (define @t345 () (_ (_ tptp.image_int_nat @t183) @t157)) % 0.44/0.93 (define @t346 () (@var "G" (-> tptp.int tptp.int))) % 0.44/0.93 (define @t347 () (_ (_ tptp.image_nat_int (_ (_ tptp.comp_int_int_nat @t346) @t155)) @t154)) % 0.44/0.93 (define @t348 () (@var "Sup" (-> tptp.set_int tptp.int))) % 0.44/0.93 (define @t349 () (_ (_ tptp.image_int_int @t346) @t157)) % 0.44/0.93 (define @t350 () (_ (_ tptp.image_nat_nat @t190) @t154)) % 0.44/0.93 (define @t351 () (_ @t260 @t164)) % 0.44/0.93 (define @t352 () (_ (_ tptp.image_nat_int (_ (_ tptp.comp_nat_int_nat @t265) @t63)) @t154)) % 0.44/0.93 (define @t353 () (_ @t268 @t164)) % 0.44/0.93 (define @t354 () (@var "Inf" (-> tptp.set_a tptp.a))) % 0.44/0.93 (define @t355 () (@var "Inf" (-> tptp.set_nat tptp.nat))) % 0.44/0.93 (define @t356 () (@var "Inf" (-> tptp.set_int tptp.int))) % 0.44/0.93 (define @t357 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 0.44/0.93 (define @t358 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 0.44/0.93 (define @t359 () (@var "D2" tptp.real)) % 0.44/0.93 (define @t360 () (@var "E" tptp.real)) % 0.44/0.93 (define @t361 () (_ tptp.ord_less_real @t360)) % 0.44/0.93 (define @t362 () (@var "D1" tptp.real)) % 0.44/0.93 (define @t363 () (_ tptp.gen_length_a tptp.zero_zero_nat)) % 0.44/0.93 (define @t364 () (@var "Z2" tptp.nat)) % 0.44/0.93 (define @t365 () (_ @t111 @t154)) % 0.44/0.93 (define @t366 () (@var "Z2" tptp.int)) % 0.44/0.93 (define @t367 () (@list @t63 @t154 @t84)) % 0.44/0.93 (define @t368 () (_ @t155 @t222)) % 0.44/0.93 (define @t369 () (@var "P" (-> tptp.int Bool))) % 0.44/0.93 (define @t370 () (@var "X5" tptp.int)) % 0.44/0.93 (define @t371 () (@list @t155 @t154 @t369)) % 0.44/0.93 (define @t372 () (@var "N3" tptp.set_nat)) % 0.44/0.93 (define @t373 () (@var "M4" tptp.set_nat)) % 0.44/0.93 (define @t374 () (_ @t225 @t372)) % 0.44/0.93 (define @t375 () (= @t373 @t372)) % 0.44/0.93 (define @t376 () (@var "X4" tptp.int)) % 0.44/0.93 (define @t377 () (@var "D3" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t378 () (_ (_ tptp.image_nat_nat @t377) @t178)) % 0.44/0.93 (define @t379 () (@var "C2" (-> tptp.nat tptp.nat))) % 0.44/0.93 (define @t380 () (_ (_ tptp.image_nat_nat @t379) @t154)) % 0.44/0.93 (define @t381 () (_ @t225 @t178)) % 0.44/0.93 (define @t382 () (forall @t227 (=> @t381 (= (_ @t379 @t222) (_ @t377 @t222))))) % 0.44/0.93 (define @t383 () (= @t154 @t178)) % 0.44/0.93 (define @t384 () (@var "D3" (-> tptp.nat tptp.int))) % 0.44/0.93 (define @t385 () (_ (_ tptp.image_nat_int @t384) @t178)) % 0.44/0.93 (define @t386 () (@var "C2" (-> tptp.nat tptp.int))) % 0.44/0.93 (define @t387 () (_ (_ tptp.image_nat_int @t386) @t154)) % 0.44/0.93 (define @t388 () (forall @t227 (=> @t381 (= (_ @t386 @t222) (_ @t384 @t222))))) % 0.44/0.93 (define @t389 () (_ tptp.semiri1382578993at_nat @t18)) % 0.44/0.93 (define @t390 () (_ tptp.semiri2019852685at_int @t18)) % 0.44/0.93 (define @t391 () (_ tptp.semiri2110766477t_real @t18)) % 0.44/0.93 (define @t392 () (_ tptp.semiri2019852685at_int @t74)) % 0.44/0.93 (define @t393 () (_ tptp.semiri2110766477t_real @t74)) % 0.44/0.93 (define @t394 () (= tptp.zero_zero_nat @t18)) % 0.44/0.93 (define @t395 () (= @t74 tptp.zero_zero_nat)) % 0.44/0.93 (define @t396 () (_ tptp.semiri1382578993at_nat @t74)) % 0.44/0.93 (define @t397 () (@list @t74)) % 0.44/0.93 (define @t398 () (_ tptp.ord_less_nat @t396)) % 0.44/0.93 (define @t399 () (_ @t398 @t389)) % 0.44/0.93 (define @t400 () (_ tptp.ord_less_int @t392)) % 0.44/0.93 (define @t401 () (_ @t400 @t390)) % 0.44/0.93 (define @t402 () (_ tptp.ord_less_real @t393)) % 0.44/0.93 (define @t403 () (_ @t402 @t391)) % 0.44/0.93 (define @t404 () (@var "A2" tptp.set_int)) % 0.44/0.93 (define @t405 () (_ tptp.image_nat_int tptp.semiri2019852685at_int)) % 0.44/0.93 (define @t406 () (@var "A2" tptp.set_real)) % 0.44/0.93 (define @t407 () (_ tptp.semiri2019852685at_int @t289)) % 0.44/0.93 (define @t408 () (_ tptp.semiri2019852685at_int @t38)) % 0.44/0.93 (define @t409 () (@list @t372)) % 0.44/0.93 (define @t410 () (not @t105)) % 0.44/0.93 (define @t411 () (_ tptp.semiri2019852685at_int @t86)) % 0.44/0.93 (define @t412 () (= @t145 @t411)) % 0.44/0.93 (define @t413 () (forall @t92 (=> @t412 @t410))) % 0.44/0.93 (define @t414 () (_ @t357 @t145)) % 0.44/0.93 (define @t415 () (@list @t145)) % 0.44/0.93 (define @t416 () (_ tptp.semiri2110766477t_real @t86)) % 0.44/0.93 (define @t417 () (_ tptp.uminus_uminus_int @t411)) % 0.44/0.93 (define @t418 () (not (forall @t92 (=> (= @t145 @t417) @t410)))) % 0.44/0.93 (define @t419 () (_ tptp.uminus_uminus_int @t302)) % 0.44/0.93 (define @t420 () (@list @t302)) % 0.44/0.93 (define @t421 () (_ tptp.uminus_uminus_int @t298)) % 0.44/0.93 (define @t422 () (@list @t302 @t298)) % 0.44/0.93 (define @t423 () (_ tptp.uminus_uminus_real @t283)) % 0.44/0.93 (define @t424 () (@list @t283)) % 0.44/0.93 (define @t425 () (= @t283 tptp.zero_zero_real)) % 0.44/0.93 (define @t426 () (= @t302 tptp.zero_zero_int)) % 0.44/0.93 (define @t427 () (_ tptp.uminus_uminus_real @t279)) % 0.44/0.93 (define @t428 () (_ tptp.ord_less_real @t427)) % 0.44/0.93 (define @t429 () (_ @t428 @t423)) % 0.44/0.93 (define @t430 () (_ tptp.ord_less_int @t421)) % 0.44/0.93 (define @t431 () (_ @t430 @t419)) % 0.44/0.93 (define @t432 () (@list @t298 @t302)) % 0.44/0.93 (define @t433 () (_ @t358 @t283)) % 0.44/0.93 (define @t434 () (_ tptp.ord_less_real @t423)) % 0.44/0.93 (define @t435 () (_ @t357 @t302)) % 0.44/0.93 (define @t436 () (_ tptp.ord_less_int @t419)) % 0.44/0.93 (define @t437 () (_ @t284 tptp.zero_zero_real)) % 0.44/0.93 (define @t438 () (_ @t303 tptp.zero_zero_int)) % 0.44/0.93 (define @t439 () (_ tptp.uminus_uminus_int @t390)) % 0.44/0.93 (define @t440 () (@list @t366)) % 0.44/0.93 (define @t441 () (@list @t283 @t279)) % 0.44/0.93 (define @t442 () (_ tptp.ord_less_real @t279)) % 0.44/0.93 (define @t443 () (@var "B4" tptp.nat)) % 0.44/0.93 (define @t444 () (_ tptp.semiri2019852685at_int @t443)) % 0.44/0.93 (define @t445 () (@var "A7" tptp.nat)) % 0.44/0.93 (define @t446 () (_ tptp.semiri2019852685at_int @t445)) % 0.44/0.93 (define @t447 () (@list @t445 @t443)) % 0.44/0.93 (define @t448 () (@var "Z" tptp.nat)) % 0.44/0.93 (define @t449 () (@var "Y2" tptp.nat)) % 0.44/0.93 (define @t450 () (@var "P" Bool)) % 0.44/0.93 (define @t451 () (_ tptp.semiri2019852685at_int (_ (_ (_ tptp.if_nat @t450) @t38) @t289))) % 0.44/0.93 (define @t452 () (@var "A1" tptp.int)) % 0.44/0.93 (define @t453 () (@var "A0" tptp.int)) % 0.44/0.93 (define @t454 () (@var "P" (-> tptp.int tptp.int Bool))) % 0.44/0.93 (define @t455 () (@var "B5" tptp.int)) % 0.44/0.93 (define @t456 () (@var "A4" tptp.int)) % 0.44/0.93 (define @t457 () (_ tptp.inverse_inverse_real @t416)) % 0.44/0.93 (define @t458 () (_ @t357 @t366)) % 0.44/0.93 (define @t459 () (_ tptp.nat2 @t366)) % 0.44/0.93 (define @t460 () (@var "W" tptp.int)) % 0.44/0.93 (define @t461 () (_ (_ tptp.ord_less_int @t460) @t366)) % 0.44/0.93 (define @t462 () (_ (_ tptp.ord_less_nat (_ tptp.nat2 @t460)) @t459)) % 0.44/0.93 (define @t463 () (@var "E2" tptp.real)) % 0.44/0.93 (define @t464 () (@var "P" (-> tptp.real Bool))) % 0.44/0.93 (define @t465 () (_ @t358 @t463)) % 0.44/0.93 (define @t466 () (@var "D4" tptp.real)) % 0.44/0.93 (define @t467 () (@var "N4" tptp.nat)) % 0.44/0.93 (define @t468 () (_ tptp.inverse_inverse_real (_ tptp.semiri2110766477t_real @t467))) % 0.44/0.93 (define @t469 () (@list @t467)) % 0.44/0.93 (define @t470 () (_ tptp.nat2 @t146)) % 0.44/0.93 (define @t471 () (_ tptp.inverse_inverse_real @t283)) % 0.44/0.93 (define @t472 () (_ @t358 @t471)) % 0.44/0.93 (define @t473 () (_ tptp.ord_less_real @t471)) % 0.44/0.93 (define @t474 () (_ @t473 tptp.zero_zero_real)) % 0.44/0.93 (define @t475 () (= @t471 tptp.zero_zero_real)) % 0.44/0.93 (define @t476 () (_ @t442 @t283)) % 0.44/0.93 (define @t477 () (_ tptp.inverse_inverse_real @t279)) % 0.44/0.93 (define @t478 () (_ @t473 @t477)) % 0.44/0.93 (define @t479 () (= @t478 @t476)) % 0.44/0.93 (define @t480 () (_ @t442 tptp.zero_zero_real)) % 0.44/0.93 (define @t481 () (@var "X5" tptp.real)) % 0.44/0.93 (define @t482 () (@var "Y4" tptp.real)) % 0.44/0.93 (define @t483 () (@list @t481)) % 0.44/0.93 (define @t484 () (@var "X_1" tptp.real)) % 0.44/0.93 (define @t485 () (not @t425)) % 0.44/0.93 (define @t486 () (_ (_ tptp.ord_less_real @t477) @t471)) % 0.44/0.93 (define @t487 () (@var "U" tptp.int)) % 0.44/0.93 (define @t488 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 0.44/0.93 (define @t489 () (_ tptp.ord_less_eq_int @t302)) % 0.44/0.93 (define @t490 () (_ tptp.ord_less_eq_nat @t74)) % 0.44/0.93 (define @t491 () (_ @t490 @t18)) % 0.44/0.93 (define @t492 () (@var "J" tptp.nat)) % 0.44/0.93 (define @t493 () (_ tptp.ord_less_eq_nat @t492)) % 0.44/0.93 (define @t494 () (@var "J" tptp.int)) % 0.44/0.93 (define @t495 () (_ tptp.ord_less_eq_int @t494)) % 0.44/0.93 (define @t496 () (@var "Y" tptp.int)) % 0.44/0.93 (define @t497 () (@list @t135 @t496)) % 0.44/0.93 (define @t498 () (_ tptp.ord_less_eq_real @t283)) % 0.44/0.93 (define @t499 () (_ @t498 tptp.zero_zero_real)) % 0.44/0.93 (define @t500 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 0.44/0.93 (define @t501 () (_ @t489 tptp.zero_zero_int)) % 0.44/0.93 (define @t502 () (_ @t500 @t283)) % 0.44/0.93 (define @t503 () (_ tptp.ord_less_eq_real @t423)) % 0.44/0.93 (define @t504 () (_ @t488 @t302)) % 0.44/0.93 (define @t505 () (_ tptp.ord_less_eq_int @t419)) % 0.44/0.93 (define @t506 () (@var "U" tptp.real)) % 0.44/0.93 (define @t507 () (@var "L" tptp.real)) % 0.44/0.93 (define @t508 () (@var "U" tptp.nat)) % 0.44/0.93 (define @t509 () (@var "L" tptp.nat)) % 0.44/0.93 (define @t510 () (@var "L" tptp.int)) % 0.44/0.93 (define @t511 () (_ tptp.semiri2019852685at_int @t459)) % 0.44/0.93 (define @t512 () (_ @t488 @t366)) % 0.44/0.93 (define @t513 () (@var "Y" tptp.real)) % 0.44/0.93 (define @t514 () (@list @t136 @t513)) % 0.44/0.93 (define @t515 () (= @t7 (_ @t6 (_ tptp.mset_set_nat @t12)))) % 0.44/0.93 (define @t516 () (not @t515)) % 0.44/0.93 (define @t517 () (@var "B" tptp.set_int)) % 0.44/0.93 (define @t518 () (@var "F2" (-> tptp.nat tptp.int))) % 0.44/0.93 (define @t519 () (lambda (@list @t518 @t241 @t517) (and (_ (_ tptp.inj_on_nat_int @t518) @t241) (= (_ (_ tptp.image_nat_int @t518) @t241) @t517)))) % 0.44/0.93 (define @t520 () (_ (_ tptp.image_nat_nat @t240) @t241)) % 0.44/0.93 (define @t521 () (_ (_ tptp.inj_on_nat_nat @t240) @t241)) % 0.44/0.93 (define @t522 () (and @t521 (= @t520 @t242))) % 0.44/0.93 (define @t523 () (lambda @t245 @t522)) % 0.44/0.93 (define @t524 () (@var "F2" (-> tptp.nat tptp.a))) % 0.44/0.93 (define @t525 () (lambda (@list @t524 @t238 @t109) (_ @t524 @t239))) % 0.44/0.93 (define @t526 () (@var "Y3" tptp.nat)) % 0.44/0.93 (define @t527 () (= @t109 @t526)) % 0.44/0.93 (define @t528 () (_ @t240 @t526)) % 0.44/0.93 (define @t529 () (= @t243 @t528)) % 0.44/0.93 (define @t530 () (=> @t529 @t527)) % 0.44/0.93 (define @t531 () (_ (_ tptp.member_nat @t526) @t241)) % 0.44/0.93 (define @t532 () (@list @t526)) % 0.44/0.93 (define @t533 () (forall @t532 (=> @t531 @t530))) % 0.44/0.93 (define @t534 () (=> @t244 @t533)) % 0.44/0.93 (define @t535 () (forall @t113 @t534)) % 0.44/0.93 (define @t536 () (@list @t240 @t241)) % 0.44/0.93 (define @t537 () (lambda @t536 @t535)) % 0.44/0.93 (define @t538 () (@var "P2" (-> tptp.a Bool))) % 0.44/0.93 (define @t539 () (lambda (@list @t538 @t121) (exists @t469 (and (_ (_ tptp.ord_less_nat @t467) @t124) (_ @t538 (_ @t122 @t467)))))) % 0.44/0.93 (define @t540 () (lambda @t447 (_ (_ tptp.ord_less_int @t446) @t444))) % 0.44/0.93 (define @t541 () (@var "K2" tptp.int)) % 0.44/0.93 (define @t542 () (_ tptp.nat2 @t541)) % 0.44/0.93 (define @t543 () (_ tptp.nat2 (_ tptp.uminus_uminus_int @t541))) % 0.44/0.93 (define @t544 () (_ (_ tptp.ord_less_int @t541) tptp.zero_zero_int)) % 0.44/0.93 (define @t545 () (@list @t541)) % 0.44/0.93 (define @t546 () (lambda @t545 (_ (_ (_ tptp.if_int @t544) (_ tptp.uminus_uminus_int (_ tptp.semiri2019852685at_int @t543))) (_ tptp.semiri2019852685at_int @t542)))) % 0.44/0.93 (define @t547 () (lambda @t545 (_ (_ (_ tptp.if_real @t544) (_ tptp.uminus_uminus_real (_ tptp.semiri2110766477t_real @t543))) (_ tptp.semiri2110766477t_real @t542)))) % 0.44/0.93 (define @t548 () (tptp.gen_length_a tptp.zero_zero_nat tptp.ys)) % 0.44/0.93 (define @t549 () (tptp.set_or562006527an_nat tptp.zero_zero_nat @t548)) % 0.44/0.93 (define @t550 () (tptp.gen_length_a tptp.zero_zero_nat tptp.xs)) % 0.44/0.93 (define @t551 () (tptp.set_or562006527an_nat tptp.zero_zero_nat @t550)) % 0.44/0.93 (define @t552 () (tptp.image_nat_nat tptp.f @t551)) % 0.44/0.93 (define @t553 () (_ @t363 tptp.xs)) % 0.44/0.93 (define @t554 () (_ @t2 @t553)) % 0.44/0.93 (define @t555 () (_ @t13 @t554)) % 0.44/0.93 (define @t556 () (_ @t363 tptp.ys)) % 0.44/0.93 (define @t557 () (_ @t2 @t556)) % 0.44/0.93 (define @t558 () (= @t557 @t555)) % 0.44/0.93 (define @t559 () (@var "BOUND_VARIABLE_8480" tptp.nat)) % 0.44/0.93 (define @t560 () (= @t109 @t559)) % 0.44/0.93 (define @t561 () (not (= (tptp.f @t109) (tptp.f @t559)))) % 0.44/0.93 (define @t562 () (@list @t109 @t559)) % 0.44/0.93 (define @t563 () (forall @t562 (or (not (tptp.member_nat @t109 @t551)) (not (tptp.member_nat @t559 @t551)) @t561 @t560))) % 0.44/0.93 (define @t564 () (tptp.member_nat @t559 @t554)) % 0.44/0.93 (define @t565 () (not @t564)) % 0.44/0.93 (define @t566 () (tptp.member_nat @t109 @t554)) % 0.44/0.93 (define @t567 () (not @t566)) % 0.44/0.93 (define @t568 () (or @t567 @t565 @t561 @t560)) % 0.44/0.93 (define @t569 () (_ @t363 tptp.xs)) % 0.44/0.93 (define @t570 () (_ @t2 @t569)) % 0.44/0.93 (define @t571 () (tptp.member_nat @t559 @t570)) % 0.44/0.93 (define @t572 () (not @t571)) % 0.44/0.93 (define @t573 () (tptp.member_nat @t109 @t570)) % 0.44/0.93 (define @t574 () (not @t573)) % 0.44/0.93 (define @t575 () (or @t574 @t572 @t561 @t560)) % 0.44/0.93 (define @t576 () (forall @t562 @t575)) % 0.44/0.93 (define @t577 () (_ @t13 @t15)) % 0.44/0.93 (define @t578 () (= @t14 @t577)) % 0.44/0.93 (define @t579 () (tptp.size_size_list_a tptp.xs)) % 0.44/0.93 (define @t580 () (tptp.set_ord_lessThan_nat @t579)) % 0.44/0.93 (define @t581 () (tptp.member_nat @t559 @t580)) % 0.44/0.93 (define @t582 () (not @t581)) % 0.44/0.93 (define @t583 () (tptp.member_nat @t109 @t580)) % 0.44/0.93 (define @t584 () (not @t583)) % 0.44/0.93 (define @t585 () (or @t584 @t582 @t561 @t560)) % 0.44/0.93 (define @t586 () (forall @t562 @t585)) % 0.44/0.93 (define @t587 () (and @t586 @t578)) % 0.44/0.93 (define @t588 () (= @t242 @t577)) % 0.44/0.93 (define @t589 () (@list @t242)) % 0.44/0.93 (define @t590 () (tptp.member_nat @t559 @t15)) % 0.44/0.93 (define @t591 () (not @t590)) % 0.44/0.93 (define @t592 () (tptp.member_nat @t109 @t15)) % 0.44/0.93 (define @t593 () (not @t592)) % 0.44/0.93 (define @t594 () (or @t593 @t591 @t561 @t560)) % 0.44/0.93 (define @t595 () (forall @t562 @t594)) % 0.44/0.93 (define @t596 () (and @t595 @t588)) % 0.44/0.93 (define @t597 () (lambda @t589 @t596)) % 0.44/0.93 (define @t598 () (not (tptp.member_nat @t559 @t241))) % 0.44/0.93 (define @t599 () (tptp.member_nat @t109 @t241)) % 0.44/0.93 (define @t600 () (not @t599)) % 0.44/0.93 (define @t601 () (lambda (@list @t241 @t242) (and (forall @t562 (or @t600 @t598 @t561 @t560)) (= @t242 (_ @t13 @t241))))) % 0.44/0.93 (define @t602 () (= @t242 @t520)) % 0.44/0.93 (define @t603 () (_ @t240 @t109)) % 0.44/0.93 (define @t604 () (not (= @t603 (_ @t240 @t559)))) % 0.44/0.93 (define @t605 () (or @t600 @t598 @t604 @t560)) % 0.44/0.93 (define @t606 () (forall @t562 @t605)) % 0.44/0.93 (define @t607 () (@list @t241)) % 0.44/0.93 (define @t608 () (lambda @t607 @t606)) % 0.44/0.93 (define @t609 () (lambda @t536 @t606)) % 0.44/0.93 (define @t610 () (_ @t609 @t240)) % 0.44/0.93 (define @t611 () (and (_ @t610 @t241) @t602)) % 0.44/0.93 (define @t612 () (or @t598 @t604 @t560)) % 0.44/0.93 (define @t613 () (or @t600 @t612)) % 0.44/0.93 (define @t614 () (forall @t562 @t613)) % 0.44/0.93 (define @t615 () (@list @t559)) % 0.44/0.93 (define @t616 () (forall @t615 @t613)) % 0.44/0.93 (define @t617 () (forall @t615 @t612)) % 0.44/0.93 (define @t618 () (or @t600 @t617)) % 0.44/0.93 (define @t619 () (_ @t240 @t526)) % 0.44/0.93 (define @t620 () (tptp.member_nat @t526 @t241)) % 0.44/0.93 (define @t621 () (forall @t532 (or (not @t620) (not (= @t603 @t619)) @t527))) % 0.44/0.93 (define @t622 () (not @t244)) % 0.44/0.93 (define @t623 () (or @t622 @t621)) % 0.44/0.93 (define @t624 () (not @t529)) % 0.44/0.93 (define @t625 () (not @t531)) % 0.44/0.93 (define @t626 () (or @t625 @t624 @t527)) % 0.44/0.93 (define @t627 () (and @t521 @t602)) % 0.44/0.93 (define @t628 () (tptp.mset_set_nat @t549)) % 0.44/0.93 (define @t629 () (tptp.image_mset_nat_a @t5 @t628)) % 0.44/0.93 (define @t630 () (tptp.mset_set_nat @t551)) % 0.44/0.93 (define @t631 () (tptp.image_mset_nat_nat tptp.f @t630)) % 0.44/0.93 (define @t632 () (tptp.image_mset_nat_a @t5 @t631)) % 0.44/0.93 (define @t633 () (_ tptp.mset_set_nat @t554)) % 0.44/0.93 (define @t634 () (_ @t4 @t633)) % 0.44/0.93 (define @t635 () (_ @t6 @t634)) % 0.44/0.93 (define @t636 () (_ tptp.mset_set_nat @t557)) % 0.44/0.93 (define @t637 () (_ @t6 @t636)) % 0.44/0.93 (define @t638 () (= @t637 @t635)) % 0.44/0.93 (define @t639 () (tptp.image_nat_nat @t63 @t154)) % 0.44/0.93 (define @t640 () (tptp.mset_set_nat @t639)) % 0.44/0.93 (define @t641 () (tptp.mset_set_nat @t154)) % 0.44/0.93 (define @t642 () (tptp.image_mset_nat_nat @t63 @t641)) % 0.44/0.93 (define @t643 () (not (= (_ @t63 @t109) (_ @t63 @t559)))) % 0.44/0.93 (define @t644 () (forall @t562 (or (not (tptp.member_nat @t109 @t154)) (not (tptp.member_nat @t559 @t154)) @t643 @t560))) % 0.44/0.93 (define @t645 () (not @t644)) % 0.44/0.93 (define @t646 () (or @t645 @t167)) % 0.44/0.93 (define @t647 () (lambda @t607 (forall @t562 (or @t600 @t598 @t643 @t560)))) % 0.44/0.93 (define @t648 () (_ @t609 @t63)) % 0.44/0.93 (define @t649 () (=> (_ @t648 @t154) @t167)) % 0.44/0.93 (define @t650 () (tptp.mset_set_nat @t552)) % 0.44/0.93 (define @t651 () (= @t631 @t650)) % 0.44/0.93 (define @t652 () (not @t563)) % 0.44/0.93 (define @t653 () (or @t652 @t651)) % 0.44/0.93 (define @t654 () (= @t552 @t549)) % 0.44/0.93 (define @t655 () (= @t632 @t629)) % 0.44/0.93 (define @t656 () (and @t654 @t651)) % 0.44/0.93 (assume @p1 (_ (_ tptp.inj_on_nat_nat tptp.f) @t3)) % 0.44/0.93 (assume @p2 (= @t8 @t7)) % 0.44/0.93 (assume @p3 (forall (@list @t9) (=> (_ @t10 @t1) (= (_ (_ tptp.nth_a tptp.xs) @t9) (_ @t5 (_ tptp.f @t9)))))) % 0.44/0.93 (assume @p4 (= (_ @t13 @t3) @t12)) % 0.44/0.93 (assume @p5 (_ (_ (_ tptp.bij_betw_nat_nat tptp.f) @t15) @t14)) % 0.44/0.93 (assume @p6 (= @t17 @t7)) % 0.44/0.93 (assume @p7 (= tptp.xs @t16)) % 0.44/0.93 (assume @p8 (forall @t22 (exists @t21 (= @t20 @t18)))) % 0.44/0.93 (assume @p9 (forall @t29 (=> (not @t28) (not @t25)))) % 0.44/0.93 (assume @p10 (forall (@list @t31 @t30) (=> (not (= @t34 @t33)) @t32))) % 0.44/0.93 (assume @p11 (forall @t22 (= (not @t37) @t35))) % 0.44/0.93 (assume @p12 (forall @t39 (= (not (= @t38 tptp.zero_zero_nat)) (_ @t36 @t38)))) % 0.44/0.93 (assume @p13 (forall @t22 (not (_ @t40 tptp.zero_zero_nat)))) % 0.44/0.93 (assume @p14 (forall @t22 (= @t41 @t37))) % 0.44/0.93 (assume @p15 (forall (@list @t44 @t43 @t42) (= (_ @t49 (_ @t48 @t42)) (_ @t47 @t42)))) % 0.44/0.93 (assume @p16 (forall (@list @t51 @t50 @t42) (= (_ @t56 (_ @t55 @t42)) (_ @t54 @t42)))) % 0.44/0.93 (assume @p17 (forall @t57 (= (_ (_ tptp.comp_l1234327363st_nat @t49) @t48) @t47))) % 0.44/0.93 (assume @p18 (forall @t58 (= (_ (_ tptp.comp_l728830689st_nat @t56) @t55) @t54))) % 0.44/0.93 (assume @p19 (forall (@list @t60 @t51 @t59) (= (_ @t62 (_ @t56 @t59)) (_ (_ tptp.map_nat_a @t61) @t59)))) % 0.44/0.93 (assume @p20 (forall (@list @t43 @t63 @t59) (= (_ @t48 (_ @t66 @t59)) (_ (_ tptp.map_nat_a @t65) @t59)))) % 0.44/0.93 (assume @p21 (forall (@list @t44 @t43 @t67) (= (_ @t49 (_ @t48 @t67)) (_ @t47 @t67)))) % 0.44/0.93 (assume @p22 (forall (@list @t51 @t50 @t67) (= (_ @t56 (_ @t55 @t67)) (_ @t54 @t67)))) % 0.44/0.93 (assume @p23 (forall @t70 (= (_ tptp.size_size_list_a @t69) @t68))) % 0.44/0.93 (assume @p24 (forall @t72 (= (_ tptp.size_size_list_a @t71) @t27))) % 0.44/0.93 (assume @p25 (forall (@list @t18 @t42 @t51) (=> (_ @t40 @t68) (= (_ (_ tptp.nth_a @t69) @t18) (_ @t51 (_ (_ tptp.nth_nat @t42) @t18)))))) % 0.44/0.93 (assume @p26 (forall (@list @t18 @t24 @t44) (=> (_ @t40 @t27) (= (_ (_ tptp.nth_a @t71) @t18) (_ @t44 (_ @t73 @t18)))))) % 0.44/0.93 (assume @p27 (= @t8 @t17)) % 0.44/0.93 (assume @p28 (forall @t80 (= @t79 (or @t77 @t75)))) % 0.44/0.93 (assume @p29 (forall @t22 (not (_ @t40 @t18)))) % 0.44/0.93 (assume @p30 (forall @t81 (=> @t75 @t79))) % 0.44/0.93 (assume @p31 (forall (@list @t83 @t82) (=> (_ (_ tptp.ord_less_nat @t83) @t82) (not (= @t83 @t82))))) % 0.44/0.93 (assume @p32 (forall @t93 (=> (forall @t92 (=> (forall @t91 (=> @t90 @t89)) @t87)) @t85))) % 0.44/0.93 (assume @p33 (forall @t93 (=> (forall @t92 @t94) @t85))) % 0.44/0.93 (assume @p34 (forall @t99 (=> @t98 (=> (not (_ (_ tptp.ord_less_nat @t95) @t96)) (_ (_ tptp.ord_less_nat @t96) @t95))))) % 0.44/0.93 (assume @p35 (forall (@list @t51 @t42 @t43 @t100) (=> (= @t69 @t103) @t102))) % 0.44/0.93 (assume @p36 (forall (@list @t51 @t42 @t60 @t23) (=> (= @t69 (_ @t62 @t23)) (= @t68 @t26)))) % 0.44/0.93 (assume @p37 (forall (@list @t44 @t24 @t43 @t100) (=> (= @t71 @t103) (= @t27 @t101)))) % 0.44/0.93 (assume @p38 (forall @t22 (= @t37 @t41))) % 0.44/0.93 (assume @p39 (forall @t80 (=> @t77 @t41))) % 0.44/0.93 (assume @p40 (forall @t22 (=> @t41 @t37))) % 0.44/0.93 (assume @p41 (forall @t39 (not (_ @t104 tptp.zero_zero_nat)))) % 0.44/0.93 (assume @p42 (forall @t93 (=> @t106 (=> (forall @t92 (=> @t105 @t94)) @t85)))) % 0.44/0.93 (assume @p43 (forall (@list @t107 @t24) (=> (forall @t21 (=> (forall (@list @t108) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t108)) @t20) (_ @t107 @t108))) (_ @t107 @t19))) (_ @t107 @t24)))) % 0.44/0.93 (assume @p44 (forall @t118 (= (forall @t117 (=> @t116 @t115)) (forall @t113 (=> @t112 @t110))))) % 0.44/0.93 (assume @p45 (forall @t118 (= (exists @t117 (and @t116 @t115)) (exists @t113 (and @t112 @t110))))) % 0.44/0.93 (assume @p46 (= (lambda (@list @t128 @t127) (= @t128 @t127)) (lambda (@list @t121 @t120) (and (= @t124 (_ tptp.size_size_list_a @t120)) (forall @t126 (=> (_ @t125 @t124) (= @t123 (_ (_ tptp.nth_a @t120) @t119)))))))) % 0.44/0.93 (assume @p47 (forall (@list @t131 @t129) (= (forall @t126 (=> @t132 (exists (@list @t133) (_ @t130 @t133)))) (exists (@list @t121) (and (= @t124 @t131) (forall @t126 (=> @t132 (_ @t130 @t123)))))))) % 0.44/0.93 (assume @p48 (forall @t29 (=> @t28 (=> (forall (@list @t134) (=> (_ (_ tptp.ord_less_nat @t134) @t27) (= (_ @t73 @t134) (_ (_ tptp.nth_a @t23) @t134)))) @t25)))) % 0.44/0.93 (assume @p49 (forall (@list @t95) (= (= tptp.zero_zero_nat @t95) (= @t95 tptp.zero_zero_nat)))) % 0.44/0.93 (assume @p50 (forall (@list @t135) (= (= tptp.zero_zero_int @t135) (= @t135 tptp.zero_zero_int)))) % 0.44/0.93 (assume @p51 (forall @t137 (= (= tptp.zero_zero_real @t136) (= @t136 tptp.zero_zero_real)))) % 0.44/0.93 (assume @p52 (forall @t72 (= (_ tptp.mset_a @t71) (_ @t139 @t138)))) % 0.44/0.93 (assume @p53 (forall (@list @t140 @t24) (= (_ tptp.mset_nat (_ (_ tptp.map_a_nat @t140) @t24)) (_ @t141 @t138)))) % 0.44/0.93 (assume @p54 (forall @t70 (= (_ tptp.mset_a @t69) (_ @t143 @t142)))) % 0.44/0.93 (assume @p55 (forall (@list @t63 @t42) (= (_ tptp.mset_nat (_ @t66 @t42)) (_ @t144 @t142)))) % 0.44/0.93 (assume @p56 (forall (@list @t42) (= (_ tptp.size_s1679505588et_nat @t142) @t68))) % 0.44/0.93 (assume @p57 (forall (@list @t24) (= (_ tptp.size_size_multiset_a @t138) @t27))) % 0.44/0.93 (assume @p58 (forall (@list @t146 @t145) (= (_ @t148 (_ tptp.set_ord_lessThan_int @t145)) (_ @t147 @t145)))) % 0.44/0.93 (assume @p59 (forall (@list @t150 @t149) (= (_ @t152 (_ tptp.set_or1211449801n_real @t149)) (_ @t151 @t149)))) % 0.44/0.93 (assume @p60 (forall (@list @t9 @t131) (= (_ @t153 (_ tptp.set_ord_lessThan_nat @t131)) (_ @t10 @t131)))) % 0.44/0.93 (assume @p61 (forall @t161 (=> @t160 (= (_ (_ tptp.image_mset_nat_int @t155) @t158) (_ tptp.mset_set_int @t157))))) % 0.44/0.93 (assume @p62 (forall (@list @t51 @t154) (=> (_ (_ tptp.inj_on_nat_a @t51) @t154) (= (_ @t143 @t158) (_ tptp.mset_set_a (_ @t162 @t154)))))) % 0.44/0.93 (assume @p63 @t172) % 0.44/0.93 (assume @p64 (= tptp.set_ord_lessThan_nat @t2)) % 0.44/0.93 (assume @p65 (forall @t177 (=> @t160 (=> @t176 @t175)))) % 0.44/0.93 (assume @p66 (forall @t182 (=> @t169 (=> @t181 @t180)))) % 0.44/0.93 (assume @p67 (forall @t161 (=> @t160 (_ @t174 @t157)))) % 0.44/0.93 (assume @p68 (forall @t171 (=> @t169 (_ @t179 @t164)))) % 0.44/0.93 (assume @p69 (forall (@list @t155 @t154 @t183) (=> @t160 (=> @t186 @t185)))) % 0.44/0.93 (assume @p70 (forall (@list @t63 @t154 @t43) (=> @t169 (=> @t188 @t187)))) % 0.44/0.93 (assume @p71 (forall (@list @t63 @t154 @t50) (=> @t169 (=> @t193 @t191)))) % 0.44/0.93 (assume @p72 (forall (@list @t43 @t63 @t154) (=> @t187 @t188))) % 0.44/0.93 (assume @p73 (forall (@list @t183 @t155 @t154) (=> @t185 @t186))) % 0.44/0.93 (assume @p74 (forall (@list @t50 @t63 @t154) (=> @t191 @t193))) % 0.44/0.93 (assume @p75 (forall (@list @t155 @t154 @t194) (=> @t160 (= (_ (_ tptp.inj_on_int_nat @t194) @t157) (_ (_ tptp.inj_on_nat_nat (_ (_ tptp.comp_int_nat_nat @t194) @t155)) @t154))))) % 0.44/0.93 (assume @p76 (forall (@list @t63 @t154 @t195) (=> @t169 (= (_ (_ tptp.inj_on_nat_a @t195) @t164) @t197)))) % 0.44/0.93 (assume @p77 (forall (@list @t63 @t154 @t198) (=> @t169 (= (_ (_ tptp.inj_on_nat_nat @t198) @t164) @t200)))) % 0.44/0.93 (assume @p78 (forall @t99 (= (= @t202 @t201) @t97))) % 0.44/0.93 (assume @p79 (forall (@list @t51) (= (_ @t143 tptp.zero_z2005226153et_nat) tptp.zero_zero_multiset_a))) % 0.44/0.93 (assume @p80 (forall (@list @t63) (= (_ @t144 tptp.zero_z2005226153et_nat) tptp.zero_z2005226153et_nat))) % 0.44/0.93 (assume @p81 (forall @t206 (= (= @t205 tptp.zero_zero_multiset_a) @t204))) % 0.44/0.93 (assume @p82 (forall @t208 (= (= @t207 tptp.zero_z2005226153et_nat) @t204))) % 0.44/0.93 (assume @p83 (forall @t206 (= (_ tptp.size_size_multiset_a @t205) @t209))) % 0.44/0.93 (assume @p84 (forall @t208 (= (_ tptp.size_s1679505588et_nat @t207) @t209))) % 0.44/0.93 (assume @p85 (forall @t80 (= (_ tptp.mset_nat (_ (_ tptp.upt @t74) @t18)) (_ tptp.mset_set_nat @t210)))) % 0.44/0.93 (assume @p86 (forall (@list @t155 @t178 @t154) (=> (_ @t159 @t178) (=> @t211 (_ (_ tptp.ord_less_set_int @t157) (_ @t156 @t178)))))) % 0.44/0.93 (assume @p87 (forall (@list @t63 @t178 @t154) (=> (_ @t168 @t178) (=> @t211 (_ (_ tptp.ord_less_set_nat @t164) (_ @t163 @t178)))))) % 0.44/0.93 (assume @p88 (forall (@list @t215 @t214 @t213 @t212) (=> (= @t217 @t213) (= @t216 (_ @t213 @t212))))) % 0.44/0.93 (assume @p89 (forall (@list @t215 @t214 @t213 @t219) (=> @t220 (forall (@list @t218) (= (_ @t215 (_ @t214 @t218)) (_ @t213 (_ @t219 @t218))))))) % 0.44/0.93 (assume @p90 (forall (@list @t215 @t214 @t213 @t219 @t212) (=> @t220 (= @t216 (_ @t213 (_ @t219 @t212)))))) % 0.44/0.93 (assume @p91 (forall (@list @t44 @t43 @t221) (= (_ (_ tptp.comp_nat_a_nat @t46) @t221) (_ @t45 (_ @t64 @t221))))) % 0.44/0.93 (assume @p92 (forall (@list @t51 @t50 @t221) (= (_ (_ tptp.comp_nat_a_nat @t53) @t221) (_ @t52 (_ @t189 @t221))))) % 0.44/0.93 (assume @p93 (forall @t228 (=> (forall @t227 (=> @t226 (= @t224 @t222))) @t169))) % 0.44/0.93 (assume @p94 (forall @t233 (=> @t169 (=> @t98 (=> @t232 (=> @t231 (not @t230))))))) % 0.44/0.93 (assume @p95 (forall @t233 (=> @t169 (=> @t232 (=> @t231 (= @t230 @t97)))))) % 0.44/0.93 (assume @p96 (forall (@list @t154 @t63 @t50) (=> @t236 (= @t169 @t234)))) % 0.44/0.93 (assume @p97 (forall (@list @t154 @t63) (=> (forall (@list @t222 @t237) (=> @t226 (=> (_ (_ tptp.member_nat @t237) @t154) (=> (= @t223 (_ @t63 @t237)) (= @t222 @t237))))) @t169))) % 0.44/0.93 (assume @p98 (forall @t233 (=> @t169 (=> @t230 (=> @t232 (=> @t231 @t97)))))) % 0.44/0.93 (assume @p99 (= tptp.bij_betw_nat_nat (lambda @t245 (exists (@list @t238) (and (forall @t113 (=> @t244 (and (_ (_ tptp.member_nat @t243) @t242) (= (_ @t238 @t243) @t109)))) (forall @t113 (=> (_ @t111 @t242) (and (_ (_ tptp.member_nat @t239) @t241) (= (_ @t240 @t239) @t109))))))))) % 0.44/0.93 (assume @p100 (forall (@list @t63 @t154 @t178 @t38) (=> @t180 (=> (_ (_ tptp.member_nat @t38) @t154) (_ (_ tptp.member_nat (_ @t63 @t38)) @t178))))) % 0.44/0.93 (assume @p101 (forall (@list @t154 @t63 @t50 @t246) (=> @t236 (= @t248 (_ (_ @t247 @t154) @t246))))) % 0.44/0.93 (assume @p102 (forall @t182 (=> @t180 (exists (@list @t249) (_ (_ (_ tptp.bij_betw_nat_nat @t249) @t178) @t154))))) % 0.44/0.93 (assume @p103 (forall @t182 (=> @t180 (forall @t254 (=> @t253 (_ (_ tptp.member_nat @t251) @t178)))))) % 0.44/0.93 (assume @p104 (forall (@list @t255) (exists @t21 (= (_ tptp.mset_a @t19) @t255)))) % 0.44/0.93 (assume @p105 (forall (@list @t256) (exists (@list @t257) (= (_ tptp.mset_nat @t257) @t256)))) % 0.44/0.93 (assume @p106 (forall (@list @t63 @t154 @t50 @t178 @t258) (=> @t261 (= (_ (_ tptp.image_nat_a (_ @t259 @t63)) @t154) (_ (_ tptp.image_nat_a (_ @t259 @t50)) @t178))))) % 0.44/0.93 (assume @p107 (forall (@list @t63 @t154 @t50 @t178 @t221) (=> @t261 (= (_ (_ tptp.image_nat_nat (_ @t262 @t63)) @t154) (_ (_ tptp.image_nat_nat (_ @t262 @t50)) @t178))))) % 0.44/0.93 (assume @p108 (forall (@list @t63 @t154 @t50 @t178 @t263) (=> @t261 (= (_ (_ tptp.image_nat_int (_ @t264 @t63)) @t154) (_ (_ tptp.image_nat_int (_ @t264 @t50)) @t178))))) % 0.44/0.93 (assume @p109 (forall (@list @t155 @t154 @t265 @t178 @t266) (=> @t269 (= (_ (_ tptp.image_nat_nat (_ @t267 @t155)) @t154) (_ (_ tptp.image_nat_nat (_ @t267 @t265)) @t178))))) % 0.44/0.93 (assume @p110 (forall (@list @t155 @t154 @t265 @t178 @t270) (=> @t269 (= (_ (_ tptp.image_nat_int (_ @t271 @t155)) @t154) (_ (_ tptp.image_nat_int (_ @t271 @t265)) @t178))))) % 0.44/0.93 (assume @p111 (forall (@list @t51 @t50 @t272) (= (_ @t162 @t273) (_ (_ tptp.image_nat_a @t53) @t272)))) % 0.44/0.93 (assume @p112 (forall (@list @t274 @t265 @t272) (= (_ (_ tptp.image_int_nat @t274) @t275) (_ (_ tptp.image_nat_nat (_ (_ tptp.comp_int_nat_nat @t274) @t265)) @t272)))) % 0.44/0.93 (assume @p113 (forall (@list @t276 @t265 @t272) (= (_ (_ tptp.image_int_int @t276) @t275) (_ (_ tptp.image_nat_int (_ (_ tptp.comp_int_int_nat @t276) @t265)) @t272)))) % 0.44/0.93 (assume @p114 (forall (@list @t63 @t50 @t272) (= (_ @t163 @t273) (_ (_ tptp.image_nat_nat @t277) @t272)))) % 0.44/0.93 (assume @p115 (forall (@list @t155 @t50 @t272) (= (_ @t156 @t273) (_ (_ tptp.image_nat_int (_ (_ tptp.comp_nat_int_nat @t155) @t50)) @t272)))) % 0.44/0.93 (assume @p116 (forall @t287 (=> @t286 (=> @t285 (=> @t282 @t280))))) % 0.44/0.93 (assume @p117 (forall @t296 (=> @t295 (=> @t293 (=> @t292 @t290))))) % 0.44/0.93 (assume @p118 (forall @t306 (=> @t305 (=> @t304 (=> @t301 @t299))))) % 0.44/0.93 (assume @p119 (forall @t287 (=> @t286 (=> @t285 (=> @t282 @t307))))) % 0.44/0.93 (assume @p120 (forall @t296 (=> @t295 (=> @t293 (=> @t292 @t308))))) % 0.44/0.93 (assume @p121 (forall @t306 (=> @t305 (=> @t304 (=> @t301 @t309))))) % 0.44/0.93 (assume @p122 (forall @t287 (=> @t285 (=> @t282 (= @t286 (and @t307 @t280)))))) % 0.44/0.93 (assume @p123 (forall @t296 (=> @t293 (=> @t292 (= @t295 (and @t308 @t290)))))) % 0.44/0.93 (assume @p124 (forall @t306 (=> @t304 (=> @t301 (= @t305 (and @t309 @t299)))))) % 0.44/0.93 (assume @p125 (forall (@list @t311 @t310) (= (_ (_ tptp.ord_less_set_int (_ tptp.set_ord_lessThan_int @t311)) (_ tptp.set_ord_lessThan_int @t310)) (_ (_ tptp.ord_less_int @t311) @t310)))) % 0.44/0.93 (assume @p126 (forall (@list @t313 @t312) (= (_ (_ tptp.ord_less_set_real (_ tptp.set_or1211449801n_real @t313)) (_ tptp.set_or1211449801n_real @t312)) (_ (_ tptp.ord_less_real @t313) @t312)))) % 0.44/0.93 (assume @p127 (forall @t80 (= (_ (_ tptp.ord_less_set_nat (_ tptp.set_ord_lessThan_nat @t74)) (_ tptp.set_ord_lessThan_nat @t18)) @t77))) % 0.44/0.93 (assume @p128 (forall @t228 (=> (forall @t227 (=> @t226 (forall (@list @t314) (=> (_ (_ tptp.member_nat @t314) @t154) (= (= @t224 (_ @t50 (_ @t63 @t314))) (= @t315 (_ @t50 @t314))))))) (=> @t169 (= @t193 @t234))))) % 0.44/0.93 (assume @p129 (forall (@list @t195 @t63 @t154) (=> @t197 @t169))) % 0.44/0.93 (assume @p130 (forall (@list @t198 @t63 @t154) (=> @t200 @t169))) % 0.44/0.93 (assume @p131 (forall @t177 (=> @t175 @t176))) % 0.44/0.93 (assume @p132 (forall @t182 (=> @t180 @t181))) % 0.44/0.93 (assume @p133 (forall (@list @t63 @t154 @t246 @t195 @t316) (=> @t248 (= (_ (_ (_ tptp.bij_betw_nat_a @t195) @t246) @t316) (_ (_ (_ tptp.bij_betw_nat_a @t196) @t154) @t316))))) % 0.44/0.93 (assume @p134 (forall (@list @t63 @t154 @t246 @t198 @t317) (=> @t248 (= (_ (_ (_ tptp.bij_betw_nat_nat @t198) @t246) @t317) (_ (_ (_ tptp.bij_betw_nat_nat @t199) @t154) @t317))))) % 0.44/0.93 (assume @p135 (forall (@list @t63 @t154 @t178 @t43 @t318) (=> @t180 (=> (_ (_ (_ tptp.bij_betw_nat_a @t43) @t178) @t318) (_ (_ (_ tptp.bij_betw_nat_a @t65) @t154) @t318))))) % 0.44/0.93 (assume @p136 (forall (@list @t63 @t154 @t178 @t50 @t319) (=> @t180 (=> (_ (_ @t247 @t178) @t319) (_ (_ (_ tptp.bij_betw_nat_nat @t190) @t154) @t319))))) % 0.44/0.93 (assume @p137 (forall (@list @t60 @t51 @t320) (= (_ (_ tptp.image_mset_a_a @t60) @t321) (_ (_ tptp.image_mset_nat_a @t61) @t320)))) % 0.44/0.93 (assume @p138 (forall (@list @t322 @t51 @t320) (= (_ (_ tptp.image_mset_a_nat @t322) @t321) (_ (_ tptp.image_mset_nat_nat @t323) @t320)))) % 0.44/0.93 (assume @p139 (forall (@list @t43 @t63 @t320) (= (_ @t325 @t324) (_ (_ tptp.image_mset_nat_a @t65) @t320)))) % 0.44/0.93 (assume @p140 (forall (@list @t50 @t63 @t320) (= (_ @t326 @t324) (_ (_ tptp.image_mset_nat_nat @t190) @t320)))) % 0.44/0.93 (assume @p141 (forall (@list @t44 @t43 @t327) (= (_ @t139 @t329) (_ @t328 @t327)))) % 0.44/0.93 (assume @p142 (forall (@list @t140 @t43 @t327) (= (_ @t141 @t329) (_ @t330 @t327)))) % 0.44/0.93 (assume @p143 (forall (@list @t51 @t50 @t327) (= (_ @t143 @t332) (_ @t331 @t327)))) % 0.44/0.93 (assume @p144 (forall (@list @t63 @t50 @t327) (= (_ @t144 @t332) (_ @t333 @t327)))) % 0.44/0.93 (assume @p145 (forall @t57 (= (_ (_ tptp.comp_m540523139et_nat @t139) @t325) @t328))) % 0.44/0.93 (assume @p146 (forall (@list @t140 @t43) (= (_ (_ tptp.comp_m1962190563et_nat @t141) @t325) @t330))) % 0.44/0.93 (assume @p147 (forall @t58 (= (_ (_ tptp.comp_m1844659105et_nat @t143) @t326) @t331))) % 0.44/0.93 (assume @p148 (forall (@list @t63 @t50) (= (_ (_ tptp.comp_m1386984005et_nat @t144) @t326) @t333))) % 0.44/0.93 (assume @p149 (forall @t182 (=> @t180 @t169))) % 0.44/0.93 (assume @p150 (forall (@list @t42 @t100) (=> (= @t142 (_ tptp.mset_nat @t100)) @t102))) % 0.44/0.93 (assume @p151 (forall @t29 (=> (= @t138 (_ tptp.mset_a @t23)) @t28))) % 0.44/0.93 (assume @p152 (forall (@list @t289 @t63 @t95 @t154) (=> @t335 (=> @t232 @t334)))) % 0.44/0.93 (assume @p153 (forall (@list @t298 @t155 @t95 @t154) (=> @t338 (=> @t232 @t336)))) % 0.44/0.93 (assume @p154 (forall (@list @t31 @t339 @t30) (=> (_ (_ tptp.member_list_a @t31) @t339) (=> (_ (_ tptp.ord_less_nat @t34) @t33) @t32)))) % 0.44/0.93 (assume @p155 (forall (@list @t341 @t43 @t63 @t154) (= (_ @t341 @t342) (_ @t341 @t340)))) % 0.44/0.93 (assume @p156 (forall (@list @t344 @t183 @t155 @t154) (= (_ @t344 @t345) (_ @t344 @t343)))) % 0.44/0.93 (assume @p157 (forall (@list @t348 @t346 @t155 @t154) (= (_ @t348 @t349) (_ @t348 @t347)))) % 0.44/0.93 (assume @p158 (forall (@list @t344 @t50 @t63 @t154) (= (_ @t344 @t351) (_ @t344 @t350)))) % 0.44/0.93 (assume @p159 (forall (@list @t348 @t265 @t63 @t154) (= (_ @t348 @t353) (_ @t348 @t352)))) % 0.44/0.93 (assume @p160 (forall (@list @t354 @t43 @t63 @t154) (= (_ @t354 @t342) (_ @t354 @t340)))) % 0.44/0.93 (assume @p161 (forall (@list @t355 @t183 @t155 @t154) (= (_ @t355 @t345) (_ @t355 @t343)))) % 0.44/0.93 (assume @p162 (forall (@list @t356 @t346 @t155 @t154) (= (_ @t356 @t349) (_ @t356 @t347)))) % 0.44/0.93 (assume @p163 (forall (@list @t355 @t50 @t63 @t154) (= (_ @t355 @t351) (_ @t355 @t350)))) % 0.44/0.93 (assume @p164 (forall (@list @t356 @t265 @t63 @t154) (= (_ @t356 @t353) (_ @t356 @t352)))) % 0.44/0.93 (assume @p165 (not (_ @t36 tptp.zero_zero_nat))) % 0.44/0.93 (assume @p166 (not (_ @t357 tptp.zero_zero_int))) % 0.44/0.93 (assume @p167 (not (_ @t358 tptp.zero_zero_real))) % 0.44/0.93 (assume @p168 (forall (@list @t362 @t359) (=> (_ @t358 @t362) (=> (_ @t358 @t359) (exists (@list @t360) (and (_ @t358 @t360) (_ @t361 @t362) (_ @t361 @t359))))))) % 0.44/0.93 (assume @p169 (= tptp.size_size_list_a @t363)) % 0.44/0.93 (assume @p170 (forall (@list @t95 @t154 @t63) (=> @t232 (_ (_ tptp.member_nat @t229) @t164)))) % 0.44/0.93 (assume @p171 (forall (@list @t95 @t154 @t155) (=> @t232 (_ (_ tptp.member_int @t337) @t157)))) % 0.44/0.93 (assume @p172 (forall (@list @t364 @t63 @t154) (= (_ (_ tptp.member_nat @t364) @t164) (exists @t113 (and @t365 (= @t364 (_ @t63 @t109))))))) % 0.44/0.93 (assume @p173 (forall (@list @t366 @t155 @t154) (= (_ (_ tptp.member_int @t366) @t157) (exists @t113 (and @t365 (= @t366 (_ @t155 @t109))))))) % 0.44/0.93 (assume @p174 (forall @t367 (=> (exists @t254 (and (_ @t252 @t164) (_ @t84 @t250))) (exists @t227 (and @t226 (_ @t84 @t223)))))) % 0.44/0.93 (assume @p175 (forall @t371 (=> (exists (@list @t370) (and (_ (_ tptp.member_int @t370) @t157) (_ @t369 @t370))) (exists @t227 (and @t226 (_ @t369 @t368)))))) % 0.44/0.93 (assume @p176 (forall (@list @t373 @t372 @t63 @t50) (=> @t375 (=> (forall @t227 (=> @t374 (= @t223 @t315))) (= (_ @t163 @t373) (_ @t260 @t372)))))) % 0.44/0.93 (assume @p177 (forall (@list @t373 @t372 @t155 @t265) (=> @t375 (=> (forall @t227 (=> @t374 (= @t368 (_ @t265 @t222)))) (= (_ @t156 @t373) (_ @t268 @t372)))))) % 0.44/0.93 (assume @p178 (forall @t367 (=> (forall @t227 (=> (_ @t225 @t164) (_ @t84 @t222))) (forall @t254 (=> @t253 (_ @t84 @t251)))))) % 0.44/0.93 (assume @p179 (forall @t371 (=> (forall (@list @t376) (=> (_ (_ tptp.member_int @t376) @t157) (_ @t369 @t376))) (forall @t254 (=> @t253 (_ @t369 (_ @t155 @t250))))))) % 0.44/0.93 (assume @p180 (forall (@list @t95 @t154 @t289 @t63) (=> @t232 (=> @t335 @t334)))) % 0.44/0.93 (assume @p181 (forall (@list @t95 @t154 @t298 @t155) (=> @t232 (=> @t338 @t336)))) % 0.44/0.93 (assume @p182 (forall (@list @t154 @t178 @t379 @t377 @t355) (=> @t383 (=> @t382 (= (_ @t355 @t380) (_ @t355 @t378)))))) % 0.44/0.93 (assume @p183 (forall (@list @t154 @t178 @t386 @t384 @t356) (=> @t383 (=> @t388 (= (_ @t356 @t387) (_ @t356 @t385)))))) % 0.44/0.93 (assume @p184 (forall (@list @t154 @t178 @t379 @t377 @t344) (=> @t383 (=> @t382 (= (_ @t344 @t380) (_ @t344 @t378)))))) % 0.44/0.93 (assume @p185 (forall (@list @t154 @t178 @t386 @t384 @t348) (=> @t383 (=> @t388 (= (_ @t348 @t387) (_ @t348 @t385)))))) % 0.44/0.93 (assume @p186 (= tptp.map_nat_a tptp.map_tailrec_nat_a)) % 0.44/0.93 (assume @p187 (forall @t22 (= (_ @t36 @t389) @t37))) % 0.44/0.93 (assume @p188 (forall @t22 (= (_ @t357 @t390) @t37))) % 0.44/0.93 (assume @p189 (forall @t22 (= (_ @t358 @t391) @t37))) % 0.44/0.93 (assume @p190 (forall @t80 (= (= @t392 @t390) @t78))) % 0.44/0.93 (assume @p191 (forall @t80 (= (= @t393 @t391) @t78))) % 0.44/0.93 (assume @p192 (= (_ tptp.semiri1382578993at_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) % 0.44/0.93 (assume @p193 (= (_ tptp.semiri2019852685at_int tptp.zero_zero_nat) tptp.zero_zero_int)) % 0.44/0.93 (assume @p194 (= (_ tptp.semiri2110766477t_real tptp.zero_zero_nat) tptp.zero_zero_real)) % 0.44/0.93 (assume @p195 (forall @t22 (= (= tptp.zero_zero_nat @t389) @t394))) % 0.44/0.93 (assume @p196 (forall @t22 (= (= tptp.zero_zero_int @t390) @t394))) % 0.44/0.93 (assume @p197 (forall @t22 (= (= tptp.zero_zero_real @t391) @t394))) % 0.44/0.93 (assume @p198 (forall @t397 (= (= @t396 tptp.zero_zero_nat) @t395))) % 0.44/0.93 (assume @p199 (forall @t397 (= (= @t392 tptp.zero_zero_int) @t395))) % 0.44/0.93 (assume @p200 (forall @t397 (= (= @t393 tptp.zero_zero_real) @t395))) % 0.44/0.93 (assume @p201 (forall @t80 (= @t399 @t77))) % 0.44/0.93 (assume @p202 (forall @t80 (= @t401 @t77))) % 0.44/0.93 (assume @p203 (forall @t80 (= @t403 @t77))) % 0.44/0.93 (assume @p204 (forall (@list @t372 @t154) (= (_ (_ (_ tptp.bij_betw_nat_nat tptp.semiri1382578993at_nat) @t372) @t154) (= (_ (_ tptp.image_nat_nat tptp.semiri1382578993at_nat) @t372) @t154)))) % 0.44/0.93 (assume @p205 (forall (@list @t372 @t404) (= (_ (_ (_ tptp.bij_betw_nat_int tptp.semiri2019852685at_int) @t372) @t404) (= (_ @t405 @t372) @t404)))) % 0.44/0.93 (assume @p206 (forall (@list @t372 @t406) (= (_ (_ (_ tptp.bij_betw_nat_real tptp.semiri2110766477t_real) @t372) @t406) (= (_ (_ tptp.image_nat_real tptp.semiri2110766477t_real) @t372) @t406)))) % 0.44/0.93 (assume @p207 (forall (@list @t38 @t289) (= (_ @t405 @t294) (_ (_ tptp.set_or1199280219an_int @t408) @t407)))) % 0.44/0.93 (assume @p208 (forall @t409 (_ (_ tptp.inj_on_nat_nat tptp.semiri1382578993at_nat) @t372))) % 0.44/0.93 (assume @p209 (forall @t409 (_ (_ tptp.inj_on_nat_int tptp.semiri2019852685at_int) @t372))) % 0.44/0.93 (assume @p210 (forall @t409 (_ (_ tptp.inj_on_nat_real tptp.semiri2110766477t_real) @t372))) % 0.44/0.93 (assume @p211 (forall @t397 (not (_ @t398 tptp.zero_zero_nat)))) % 0.44/0.93 (assume @p212 (forall @t397 (not (_ @t400 tptp.zero_zero_int)))) % 0.44/0.93 (assume @p213 (forall @t397 (not (_ @t402 tptp.zero_zero_real)))) % 0.44/0.93 (assume @p214 (forall @t80 (=> @t399 @t77))) % 0.44/0.93 (assume @p215 (forall @t80 (=> @t401 @t77))) % 0.44/0.93 (assume @p216 (forall @t80 (=> @t403 @t77))) % 0.44/0.93 (assume @p217 (forall @t80 (=> @t77 @t399))) % 0.44/0.93 (assume @p218 (forall @t80 (=> @t77 @t401))) % 0.44/0.93 (assume @p219 (forall @t80 (=> @t77 @t403))) % 0.44/0.93 (assume @p220 (forall @t415 (=> @t414 (not @t413)))) % 0.44/0.93 (assume @p221 (forall @t415 (=> @t414 (exists @t92 (and @t105 @t412))))) % 0.44/0.93 (assume @p222 (forall @t137 (exists @t92 (_ (_ tptp.ord_less_real @t136) @t416)))) % 0.44/0.93 (assume @p223 (forall (@list @t322 @t51) (= (_ (_ tptp.comp_m1512105363et_nat (_ tptp.size_multiset_a @t322)) @t143) (_ tptp.size_multiset_nat @t323)))) % 0.44/0.93 (assume @p224 (forall (@list @t50 @t63) (= (_ (_ tptp.comp_m346803701et_nat (_ tptp.size_multiset_nat @t50)) @t144) (_ tptp.size_multiset_nat @t190)))) % 0.44/0.93 (assume @p225 (forall @t415 (=> (_ (_ tptp.ord_less_int @t145) tptp.zero_zero_int) @t418))) % 0.44/0.93 (assume @p226 (forall @t420 (= (_ tptp.uminus_uminus_int @t419) @t302))) % 0.44/0.93 (assume @p227 (forall @t422 (= (= @t419 @t421) (= @t302 @t298)))) % 0.44/0.93 (assume @p228 (= (_ tptp.uminus_uminus_real tptp.zero_zero_real) tptp.zero_zero_real)) % 0.44/0.93 (assume @p229 (= (_ tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int)) % 0.44/0.93 (assume @p230 (forall @t424 (= (= tptp.zero_zero_real @t423) (= tptp.zero_zero_real @t283)))) % 0.44/0.93 (assume @p231 (forall @t420 (= (= tptp.zero_zero_int @t419) (= tptp.zero_zero_int @t302)))) % 0.44/0.93 (assume @p232 (forall @t424 (= (= @t423 tptp.zero_zero_real) @t425))) % 0.44/0.93 (assume @p233 (forall @t420 (= (= @t419 tptp.zero_zero_int) @t426))) % 0.44/0.93 (assume @p234 (forall @t424 (= (= @t283 @t423) @t425))) % 0.44/0.93 (assume @p235 (forall @t420 (= (= @t302 @t419) @t426))) % 0.44/0.93 (assume @p236 (forall @t424 (= (= @t423 @t283) @t425))) % 0.44/0.93 (assume @p237 (forall @t420 (= (= @t419 @t302) @t426))) % 0.44/0.93 (assume @p238 (forall (@list @t279 @t283) (= @t429 @t285))) % 0.44/0.93 (assume @p239 (forall @t432 (= @t431 @t304))) % 0.44/0.93 (assume @p240 (forall (@list @t404) (_ (_ tptp.inj_on_int_int tptp.uminus_uminus_int) @t404))) % 0.44/0.93 (assume @p241 (forall @t424 (= (_ @t434 tptp.zero_zero_real) @t433))) % 0.44/0.93 (assume @p242 (forall @t420 (= (_ @t436 tptp.zero_zero_int) @t435))) % 0.44/0.93 (assume @p243 (forall @t424 (= (_ @t358 @t423) @t437))) % 0.44/0.93 (assume @p244 (forall @t420 (= (_ @t357 @t419) @t438))) % 0.44/0.93 (assume @p245 (forall @t424 (= (_ @t434 @t283) @t433))) % 0.44/0.93 (assume @p246 (forall @t420 (= (_ @t436 @t302) @t435))) % 0.44/0.93 (assume @p247 (forall @t424 (= (_ @t284 @t423) @t437))) % 0.44/0.93 (assume @p248 (forall @t420 (= (_ @t303 @t419) @t438))) % 0.44/0.93 (assume @p249 (forall @t81 (= (= @t439 @t392) (and @t35 @t395)))) % 0.44/0.93 (assume @p250 (forall @t440 (=> (forall @t92 (not (= @t366 @t411))) (not (forall @t92 (not (= @t366 @t417))))))) % 0.44/0.93 (assume @p251 (forall @t441 (= (_ @t434 @t279) (_ @t428 @t283)))) % 0.44/0.93 (assume @p252 (forall @t422 (= (_ @t436 @t298) (_ @t430 @t302)))) % 0.44/0.93 (assume @p253 (forall @t441 (= (_ @t284 @t427) (_ @t442 @t423)))) % 0.44/0.93 (assume @p254 (forall @t422 (= (_ @t303 @t421) (_ (_ tptp.ord_less_int @t298) @t419)))) % 0.44/0.93 (assume @p255 (forall @t441 (=> @t285 @t429))) % 0.44/0.93 (assume @p256 (forall @t422 (=> @t304 @t431))) % 0.44/0.93 (assume @p257 (forall @t422 (= (= @t302 @t421) (= @t298 @t419)))) % 0.44/0.93 (assume @p258 (forall @t422 (= (= @t419 @t298) (= @t421 @t302)))) % 0.44/0.93 (assume @p259 (forall @t81 (not (_ (_ tptp.ord_less_int @t390) (_ tptp.uminus_uminus_int @t392))))) % 0.44/0.93 (assume @p260 (forall (@list @t311) (=> (forall @t92 (not (= @t311 @t411))) (not (forall @t92 (=> @t105 (not (= @t311 @t417)))))))) % 0.44/0.93 (assume @p261 (forall @t39 (not (_ @t104 @t38)))) % 0.44/0.93 (assume @p262 (forall @t420 (not (_ @t303 @t302)))) % 0.44/0.93 (assume @p263 (forall @t424 (not (_ @t284 @t283)))) % 0.44/0.93 (assume @p264 (= (lambda (@list @t449 @t448) (= @t449 @t448)) (lambda @t447 (= @t446 @t444)))) % 0.44/0.93 (assume @p265 (forall (@list @t450 @t38 @t289) (and (=> @t450 (= @t451 @t408)) (=> (not @t450) (= @t451 @t407))))) % 0.44/0.93 (assume @p266 (forall @t415 (=> (not (= @t145 tptp.zero_zero_int)) (=> @t413 @t418)))) % 0.44/0.93 (assume @p267 (forall (@list @t454 @t453 @t452) (=> (forall (@list @t456 @t455) (=> (=> (_ (_ tptp.ord_less_int @t455) tptp.zero_zero_int) (_ (_ @t454 (_ tptp.uminus_uminus_int @t456)) (_ tptp.uminus_uminus_int @t455))) (_ (_ @t454 @t456) @t455))) (_ (_ @t454 @t453) @t452)))) % 0.44/0.93 (assume @p268 (forall @t137 (=> (_ @t358 @t136) (exists @t92 (and @t105 (_ (_ tptp.ord_less_real @t457) @t136)))))) % 0.44/0.93 (assume @p269 (forall @t440 (= (_ @t36 @t459) @t458))) % 0.44/0.93 (assume @p270 (forall @t22 (= (_ tptp.nat2 @t390) @t18))) % 0.44/0.93 (assume @p271 (forall (@list @t460 @t366) (= @t462 (and @t458 @t461)))) % 0.44/0.93 (assume @p272 (forall @t22 (= (_ tptp.nat2 @t439) tptp.zero_zero_nat))) % 0.44/0.93 (assume @p273 (= tptp.zero_zero_nat (_ tptp.nat2 tptp.zero_zero_int))) % 0.44/0.93 (assume @p274 (forall (@list @t464 @t463) (=> (forall (@list @t466 @t360) (=> (_ (_ tptp.ord_less_real @t466) @t360) (=> (_ @t464 @t466) (_ @t464 @t360)))) (=> (forall @t92 (=> (not (= @t86 tptp.zero_zero_nat)) (_ @t464 @t457))) (=> @t465 (_ @t464 @t463)))))) % 0.44/0.93 (assume @p275 (forall (@list @t463) (= @t465 (exists @t469 (and (not (= @t467 tptp.zero_zero_nat)) (_ @t358 @t468) (_ (_ tptp.ord_less_real @t468) @t463)))))) % 0.44/0.93 (assume @p276 (forall (@list @t366 @t460) (=> @t458 (= @t462 @t461)))) % 0.44/0.93 (assume @p277 (forall (@list @t74 @t366) (= (_ @t76 @t459) (_ @t400 @t366)))) % 0.44/0.93 (assume @p278 (forall (@list @t84 @t146) (= (_ @t84 @t470) (and (forall @t469 (=> (= @t146 (_ tptp.semiri2019852685at_int @t467)) (_ @t84 @t467))) (=> (_ @t147 tptp.zero_zero_int) @t106))))) % 0.44/0.93 (assume @p279 (forall @t424 (= @t472 @t433))) % 0.44/0.93 (assume @p280 (forall @t424 (= @t474 @t437))) % 0.44/0.93 (assume @p281 (= (_ tptp.inverse_inverse_real tptp.zero_zero_real) tptp.zero_zero_real)) % 0.44/0.93 (assume @p282 (forall @t424 (= @t475 @t425))) % 0.44/0.93 (assume @p283 (forall @t441 (=> @t433 (=> (_ @t358 @t279) @t479)))) % 0.44/0.93 (assume @p284 (forall @t441 (=> @t437 (=> @t480 @t479)))) % 0.44/0.93 (assume @p285 (forall @t483 (exists (@list @t482) (_ (_ tptp.ord_less_real @t482) @t481)))) % 0.44/0.93 (assume @p286 (forall @t483 (exists (@list @t484) (_ (_ tptp.ord_less_real @t481) @t484)))) % 0.44/0.93 (assume @p287 (forall @t424 (=> @t475 @t425))) % 0.44/0.93 (assume @p288 (forall @t441 (=> (= @t471 @t477) (=> @t485 (=> (not (= @t279 tptp.zero_zero_real)) (= @t283 @t279)))))) % 0.44/0.93 (assume @p289 (forall @t424 (=> @t485 (= (_ tptp.inverse_inverse_real @t471) @t283)))) % 0.44/0.93 (assume @p290 (forall @t424 (=> @t485 (not @t475)))) % 0.44/0.93 (assume @p291 (forall @t441 (=> @t478 (=> @t433 @t476)))) % 0.44/0.93 (assume @p292 (forall @t441 (=> @t285 (=> @t433 @t486)))) % 0.44/0.93 (assume @p293 (forall @t441 (=> @t478 (=> @t480 @t476)))) % 0.44/0.93 (assume @p294 (forall @t441 (=> @t285 (=> @t480 @t486)))) % 0.44/0.93 (assume @p295 (forall @t424 (=> @t474 (=> @t485 @t437)))) % 0.44/0.93 (assume @p296 (forall @t424 (=> @t472 (=> @t485 @t433)))) % 0.44/0.93 (assume @p297 (forall @t424 (=> @t437 @t474))) % 0.44/0.93 (assume @p298 (forall @t424 (=> @t433 @t472))) % 0.44/0.93 (assume @p299 (forall @t424 (=> @t485 (= (_ tptp.inverse_inverse_real @t423) (_ tptp.uminus_uminus_real @t471))))) % 0.44/0.93 (assume @p300 (forall (@list @t487) (=> (_ @t488 @t487) (= (_ (_ tptp.set_or1199280219an_int tptp.zero_zero_int) @t487) (_ @t405 (_ tptp.set_ord_lessThan_nat (_ tptp.nat2 @t487))))))) % 0.44/0.93 (assume @p301 (forall @t22 (= (_ (_ tptp.ord_less_eq_nat @t18) tptp.zero_zero_nat) @t35))) % 0.44/0.93 (assume @p302 (forall @t432 (= (_ (_ tptp.ord_less_eq_int @t421) @t419) (_ @t489 @t298)))) % 0.44/0.93 (assume @p303 (forall @t80 (= (_ (_ tptp.ord_less_eq_real @t393) @t391) @t491))) % 0.44/0.93 (assume @p304 (forall @t80 (= (_ (_ tptp.ord_less_eq_int @t392) @t390) @t491))) % 0.44/0.93 (assume @p305 (forall (@list @t9 @t492 @t74 @t18) (= (_ (_ tptp.ord_less_eq_set_nat (_ (_ tptp.set_or562006527an_nat @t9) @t492)) @t210) (or (_ @t493 @t9) (and (_ @t490 @t9) (_ @t493 @t18)))))) % 0.44/0.93 (assume @p306 (forall (@list @t146 @t494 @t311 @t310) (= (_ (_ tptp.ord_less_eq_set_int (_ (_ tptp.set_or1199280219an_int @t146) @t494)) (_ (_ tptp.set_or1199280219an_int @t311) @t310)) (or (_ @t495 @t146) (and (_ (_ tptp.ord_less_eq_int @t311) @t146) (_ @t495 @t310)))))) % 0.44/0.93 (assume @p307 (forall @t497 (= (_ (_ tptp.ord_less_eq_set_int (_ tptp.set_ord_lessThan_int @t135)) (_ tptp.set_ord_lessThan_int @t496)) (_ (_ tptp.ord_less_eq_int @t135) @t496)))) % 0.44/0.93 (assume @p308 (forall @t99 (= (_ (_ tptp.ord_less_eq_set_nat @t202) @t201) (_ (_ tptp.ord_less_eq_nat @t95) @t96)))) % 0.44/0.93 (assume @p309 (forall @t424 (= (_ @t500 @t423) @t499))) % 0.44/0.93 (assume @p310 (forall @t420 (= (_ @t488 @t419) @t501))) % 0.44/0.93 (assume @p311 (forall @t424 (= (_ @t503 tptp.zero_zero_real) @t502))) % 0.44/0.93 (assume @p312 (forall @t420 (= (_ @t505 tptp.zero_zero_int) @t504))) % 0.44/0.93 (assume @p313 (forall @t424 (= (_ @t498 @t423) @t499))) % 0.44/0.93 (assume @p314 (forall @t420 (= (_ @t489 @t419) @t501))) % 0.44/0.93 (assume @p315 (forall @t424 (= (_ @t503 @t283) @t502))) % 0.44/0.93 (assume @p316 (forall @t420 (= (_ @t505 @t302) @t504))) % 0.44/0.93 (assume @p317 (forall @t424 (= (_ (_ tptp.ord_less_eq_real @t471) tptp.zero_zero_real) @t499))) % 0.44/0.93 (assume @p318 (forall @t424 (= (_ @t500 @t471) @t502))) % 0.44/0.93 (assume @p319 (forall (@list @t150 @t507 @t506) (= (_ @t152 (_ (_ tptp.set_or2075149659n_real @t507) @t506)) (and (_ (_ tptp.ord_less_eq_real @t507) @t150) (_ @t151 @t506))))) % 0.44/0.93 (assume @p320 (forall (@list @t9 @t509 @t508) (= (_ @t153 (_ (_ tptp.set_or562006527an_nat @t509) @t508)) (and (_ (_ tptp.ord_less_eq_nat @t509) @t9) (_ @t10 @t508))))) % 0.44/0.93 (assume @p321 (forall (@list @t146 @t510 @t487) (= (_ @t148 (_ (_ tptp.set_or1199280219an_int @t510) @t487)) (and (_ (_ tptp.ord_less_eq_int @t510) @t146) (_ @t147 @t487))))) % 0.44/0.93 (assume @p322 (forall @t440 (= (= (_ tptp.ring_1_of_int_real @t366) tptp.zero_zero_real) (= @t366 tptp.zero_zero_int)))) % 0.44/0.93 (assume @p323 (forall @t81 (_ (_ tptp.ord_less_eq_int @t439) @t392))) % 0.44/0.93 (assume @p324 (forall @t440 (=> (_ (_ tptp.ord_less_eq_int @t366) tptp.zero_zero_int) (= @t459 tptp.zero_zero_nat)))) % 0.44/0.93 (assume @p325 (forall (@list @t146) (= (= @t470 tptp.zero_zero_nat) (_ (_ tptp.ord_less_eq_int @t146) tptp.zero_zero_int)))) % 0.44/0.93 (assume @p326 (forall @t440 (and (=> @t512 (= @t511 @t366)) (=> (not @t512) (= @t511 tptp.zero_zero_int))))) % 0.44/0.93 (assume @p327 (forall @t497 (= (_ (_ (_ tptp.if_int false) @t135) @t496) @t496))) % 0.44/0.93 (assume @p328 (forall @t497 (= (_ (_ (_ tptp.if_int true) @t135) @t496) @t135))) % 0.44/0.93 (assume @p329 (forall @t99 (= (_ (_ (_ tptp.if_nat false) @t95) @t96) @t96))) % 0.44/0.93 (assume @p330 (forall @t99 (= (_ (_ (_ tptp.if_nat true) @t95) @t96) @t95))) % 0.44/0.93 (assume @p331 (forall (@list @t450) (or (= @t450 true) (= @t450 false)))) % 0.44/0.93 (assume @p332 (forall @t514 (= (_ (_ (_ tptp.if_real false) @t136) @t513) @t513))) % 0.44/0.93 (assume @p333 (forall @t514 (= (_ (_ (_ tptp.if_real true) @t136) @t513) @t136))) % 0.44/0.93 (assume @p334 @t516) % 0.44/0.93 (assume @p335 true) % 0.44/0.93 (step @p336 (= tptp.bij_betw_nat_int @t519) :rule refl :args (@t519)) % 0.44/0.93 (step @p337 (= tptp.bij_betw_nat_nat @t523) :rule refl :args (@t523)) % 0.44/0.93 (step @p338 (= tptp.comp_nat_a_nat @t525) :rule refl :args (@t525)) % 0.44/0.93 (step @p339 (= tptp.inj_on_nat_nat @t537) :rule refl :args (@t537)) % 0.44/0.93 (step @p340 (= tptp.list_ex_a @t539) :rule refl :args (@t539)) % 0.44/0.93 (step @p341 (= tptp.ord_less_nat @t540) :rule refl :args (@t540)) % 0.44/0.93 (step @p342 (= tptp.ring_1_of_int_int @t546) :rule refl :args (@t546)) % 0.44/0.93 (step @p343 (= tptp.ring_1_of_int_real @t547) :rule refl :args (@t547)) % 0.44/0.93 (step @p344 :rule eq-symm :args (@t549 @t552)) % 0.44/0.93 (step @p345 :rule refl :args ((tptp.image_nat_nat tptp.f @t554))) % 0.44/0.93 (step @p346 :rule refl :args ((tptp.set_or562006527an_nat tptp.zero_zero_nat @t553))) % 0.44/0.93 (step @p347 :rule refl :args (@t550)) % 0.44/0.93 (step @p348 :rule refl :args (tptp.zero_zero_nat)) % 0.44/0.93 (step @p349 :rule cong :premises (@p348 @p347) :args (@t551)) % 0.44/0.93 (step @p350 :rule trans :premises (@p349 @p346)) % 0.44/0.93 (step @p351 :rule refl :args (tptp.f)) % 0.44/0.93 (step @p352 :rule cong :premises (@p351 @p350) :args (@t552)) % 0.44/0.93 (step @p353 :rule trans :premises (@p352 @p345)) % 0.44/0.93 (step @p354 :rule refl :args (@t13)) % 0.44/0.93 (step @p355 :rule ho_cong :premises (@p354 @p350)) % 0.44/0.93 (step @p356 :rule cong :premises (@p355 @p353) :args ((= (_ @t13 @t551) @t552))) % 0.44/0.93 (step @p357 :rule symm :premises (@p356)) % 0.44/0.93 (step @p358 :rule refl :args (@t555)) % 0.44/0.93 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.44/0.93 (step @p360 :rule refl :args (@t2)) % 0.44/0.93 (step @p361 :rule ho_cong :premises (@p360 @p347)) % 0.44/0.93 (step @p362 :rule cong :premises (@p361 @p350) :args ((= (_ @t2 @t550) @t551))) % 0.44/0.93 (step @p363 :rule 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0.44/0.93 (step @p608 :rule refl :args ((tptp.mset_set_nat @t557))) % 0.44/0.93 (step @p609 :rule cong :premises (@p379) :args (@t628)) % 0.44/0.93 (step @p610 :rule trans :premises (@p609 @p608)) % 0.44/0.93 (step @p611 :rule cong :premises (@p577 @p610) :args (@t629)) % 0.44/0.93 (step @p612 :rule trans :premises (@p611 @p607)) % 0.44/0.93 (step @p613 :rule ho_cong :premises (@p580 @p610)) % 0.44/0.93 (step @p614 :rule cong :premises (@p613 @p612) :args ((= (_ @t6 @t628) @t629))) % 0.44/0.93 (step @p615 :rule symm :premises (@p614)) % 0.44/0.93 (step @p616 :rule refl :args (@t637)) % 0.44/0.93 (step @p617 :rule eq_resolve :premises (@p616 @p615)) % 0.44/0.93 (step @p618 :rule ho_cong :premises (@p592 @p379)) % 0.44/0.93 (step @p619 :rule cong :premises (@p618 @p610) :args ((= (_ tptp.mset_set_nat @t549) @t628))) % 0.44/0.93 (step @p620 :rule symm :premises (@p619)) % 0.44/0.93 (step @p621 :rule refl :args (@t636)) % 0.44/0.93 (step @p622 :rule eq_resolve :premises (@p621 @p620)) % 0.44/0.93 (step @p623 :rule ho_cong :premises (@p598 @p390)) % 0.44/0.93 (step @p624 :rule trans :premises (@p623 @p622)) % 0.44/0.93 (step @p625 :rule ho_cong :premises (@p604 @p624)) % 0.44/0.93 (step @p626 :rule trans :premises (@p625 @p617)) % 0.44/0.93 (step @p627 :rule cong :premises (@p626 @p606) :args (@t638)) % 0.44/0.93 (step @p628 :rule trans :premises (@p627 @p569)) % 0.44/0.93 (step @p629 :rule cong :premises (@p628) :args ((not @t638))) % 0.44/0.93 (step @p630 :rule eq-symm :args (@t635 @t637)) % 0.44/0.93 (step @p631 :rule cong :premises (@p630) :args ((not (= @t635 @t637)))) % 0.44/0.93 (step @p632 :rule ho_cong :premises (@p370 @p431)) % 0.44/0.93 (step @p633 :rule ho_cong :premises (@p598 @p632)) % 0.44/0.93 (step @p634 :rule ho_cong :premises (@p604 @p633)) % 0.44/0.93 (step @p635 :rule ho_cong :premises (@p370 @p427)) % 0.44/0.93 (step @p636 :rule ho_cong :premises (@p598 @p635)) % 0.44/0.93 (step @p637 :rule ho_cong :premises (@p601 @p636)) % 0.44/0.93 (step @p638 :rule ho_cong :premises (@p604 @p637)) % 0.44/0.93 (step @p639 :rule cong :premises (@p638 @p634) :args (@t515)) % 0.44/0.93 (step @p640 :rule cong :premises (@p639) :args (@t516)) % 0.44/0.93 (step @p641 :rule trans :premises (@p640 @p631)) % 0.44/0.93 (step @p642 :rule trans :premises (@p641 @p629)) % 0.44/0.93 (step @p643 :rule eq_resolve :premises (@p334 @p642)) % 0.44/0.93 (step @p644 :rule refl :args ((tptp.mset_set_nat @t164))) % 0.44/0.93 (step @p645 :rule refl :args (@t639)) % 0.44/0.93 (step @p646 :rule cong :premises (@p645) :args (@t640)) % 0.44/0.93 (step @p647 :rule trans :premises (@p646 @p644)) % 0.44/0.93 (step @p648 :rule ho_cong :premises (@p592 @p645)) % 0.44/0.93 (step @p649 :rule cong :premises (@p648 @p647) :args ((= (_ tptp.mset_set_nat @t639) @t640))) % 0.44/0.93 (step @p650 :rule symm :premises (@p649)) % 0.44/0.93 (step @p651 :rule refl :args (@t165)) % 0.44/0.93 (step @p652 :rule eq_resolve :premises (@p651 @p650)) % 0.44/0.93 (step @p653 :rule refl :args (@t164)) % 0.44/0.93 (step @p654 :rule cong :premises (@p653 @p645) :args ((= @t164 @t639))) % 0.44/0.93 (step @p655 :rule symm :premises (@p654)) % 0.44/0.93 (step @p656 :rule eq_resolve :premises (@p653 @p655)) % 0.44/0.93 (step @p657 :rule ho_cong :premises (@p592 @p656)) % 0.44/0.93 (step @p658 :rule trans :premises (@p657 @p652)) % 0.44/0.93 (step @p659 :rule refl :args ((tptp.image_mset_nat_nat @t63 @t158))) % 0.44/0.93 (step @p660 :rule refl :args (@t641)) % 0.44/0.93 (step @p661 :rule refl :args (@t63)) % 0.44/0.93 (step @p662 :rule cong :premises (@p661 @p660) :args (@t642)) % 0.44/0.93 (step @p663 :rule trans :premises (@p662 @p659)) % 0.44/0.93 (step @p664 :rule refl :args (@t144)) % 0.44/0.93 (step @p665 :rule ho_cong :premises (@p664 @p660)) % 0.44/0.93 (step @p666 :rule cong :premises (@p665 @p663) :args ((= (_ @t144 @t641) @t642))) % 0.44/0.93 (step @p667 :rule symm :premises (@p666)) % 0.44/0.93 (step @p668 :rule refl :args (@t166)) % 0.44/0.93 (step @p669 :rule eq_resolve :premises (@p668 @p667)) % 0.44/0.93 (step @p670 :rule refl :args (@t158)) % 0.44/0.93 (step @p671 :rule cong :premises (@p670 @p660) :args ((= @t158 @t641))) % 0.44/0.93 (step @p672 :rule symm :premises (@p671)) % 0.44/0.93 (step @p673 :rule eq_resolve :premises (@p670 @p672)) % 0.44/0.93 (step @p674 :rule ho_cong :premises (@p664 @p673)) % 0.44/0.93 (step @p675 :rule trans :premises (@p674 @p669)) % 0.44/0.93 (step @p676 :rule cong :premises (@p675 @p658) :args (@t167)) % 0.44/0.93 (step @p677 :rule refl :args (@t645)) % 0.44/0.93 (step @p678 :rule nary_cong :premises (@p677 @p676) :args (@t646)) % 0.44/0.93 (step @p679 :rule cong :premises (@p678) :args ((forall @t171 @t646))) % 0.44/0.93 (step @p680 :rule bool-impl-elim :args (@t644 @t167)) % 0.44/0.93 (step @p681 :rule cong :premises (@p680) :args ((forall @t171 (=> @t644 @t167)))) % 0.44/0.93 (step @p682 :rule trans :premises (@p681 @p679)) % 0.44/0.93 (step @p683 :rule refl :args (@t167)) % 0.44/0.93 (step @p684 :rule beta-reduce :args ((= (_ @t647 @t154) @t644))) % 0.44/0.93 (step @p685 :rule refl :args (@t154)) % 0.44/0.93 (step @p686 :rule beta-reduce :args ((= @t648 @t647))) % 0.44/0.93 (step @p687 :rule ho_cong :premises (@p686 @p685)) % 0.44/0.93 (step @p688 :rule trans :premises (@p687 @p684)) % 0.44/0.93 (step @p689 :rule cong :premises (@p688 @p683) :args (@t649)) % 0.44/0.93 (step @p690 :rule cong :premises (@p689) :args ((forall @t171 @t649))) % 0.44/0.93 (step @p691 :rule trans :premises (@p690 @p682)) % 0.44/0.93 (step @p692 :rule refl :args (@t63)) % 0.44/0.93 (step @p693 :rule ho_cong :premises (@p551 @p692)) % 0.44/0.93 (step @p694 :rule ho_cong :premises (@p693 @p685)) % 0.44/0.93 (step @p695 :rule cong :premises (@p694 @p683) :args (@t170)) % 0.44/0.93 (step @p696 :rule cong :premises (@p695) :args (@t172)) % 0.44/0.93 (step @p697 :rule trans :premises (@p696 @p691)) % 0.44/0.93 (step @p698 :rule eq_resolve :premises (@p63 @p697)) % 0.44/0.93 (step @p699 :rule instantiate :premises (@p698) :args ((@list tptp.f @t551))) % 0.44/0.93 (step @p700 :rule and_elim :premises (@p567) :args (0)) % 0.44/0.93 (step @p701 :rule cnf_or_pos :args (@t653)) % 0.44/0.93 (step @p702 :rule reordering :premises (@p701) :args ((or @t652 @t651 (not @t653)))) % 0.44/0.93 (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p699) :args (@t651 (@list false false) (@list @t563 @t653))) % 0.44/0.93 (assume-push @p718 @t654) % 0.44/0.93 (assume-push @p719 @t651) % 0.44/0.93 (step @p706 :rule cong :premises (@p568) :args (@t650)) % 0.44/0.93 (step @p707 :rule trans :premises (@p703 @p706)) % 0.44/0.93 (step @p708 :rule refl :args (@t5)) % 0.44/0.93 (step @p709 :rule cong :premises (@p708 @p707) :args (@t632)) % 0.44/0.93 (step-pop @p720 :rule scope :premises (@p709)) % 0.44/0.93 (step-pop @p721 :rule scope :premises (@p720)) % 0.44/0.93 (step @p710 :rule process_scope :premises (@p721) :args (@t655)) % 0.44/0.94 (step @p713 :rule implies_elim :premises (@p710)) % 0.44/0.94 (step @p714 :rule cnf_and_neg :args (@t656)) % 0.44/0.94 (step @p715 :rule resolution :premises (@p714 @p713) :args (true @t656)) % 0.44/0.94 (step @p716 :rule reordering :premises (@p715) :args ((or @t655 (not @t654) (not @t651)))) % 0.44/0.94 (step @p717 false :rule chain_m_resolution :premises (@p716 @p703 @p643 @p568) :args (false (@list false true false) (@list @t651 @t655 @t654))) % 0.44/0.94 ) % 0.44/0.94 % SZS output end Proof % 0.44/0.94 % cvc5 exiting %------------------------------------------------------------------------------