%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL847-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:01 AM UTC 2026 % Result : Unsatisfiable 1.44s 1.73s % Output : Proof 1.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL847-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n011.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 06:45:28 UTC 2026 % 0.10/0.38 % CPUTime : % 0.29/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.44/1.73 % SZS status Unsatisfiable % 1.44/1.73 % SZS output start Proof % 1.44/1.78 ( % 1.44/1.78 (declare-sort $$unsorted 0) % 1.44/1.78 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Ofiltermap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Olist_Olist__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.t_b $$unsorted) % 1.44/1.78 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 1.44/1.78 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistset__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlist__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlist__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xtake__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xconcat__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xconcat__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xremove1__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.t_a $$unsorted) % 1.44/1.78 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 1.44/1.78 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.v_ta____ $$unsorted) % 1.44/1.78 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_Lambda_Olift $$unsorted) % 1.44/1.78 (declare-const tptp.v_sko__List__Xremove1__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.tc_nat $$unsorted) % 1.44/1.78 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xmap__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__2 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xmap__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olength__unique (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistsp__Xcases__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.tc_bool $$unsorted) % 1.44/1.78 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.v_s____ $$unsorted) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistset__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.44/1.78 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xtake__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.44/1.78 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.v_sko__List__Xlistsp__Xcases__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (declare-const tptp.c_List_Osko__List__Xlistsum__map__filter__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.44/1.78 (define @t1 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.44/1.78 (define @t2 () (@var "V_m" $$unsorted)) % 1.44/1.78 (define @t3 () (@list @t2)) % 1.44/1.78 (define @t4 () (@var "V_n" $$unsorted)) % 1.44/1.78 (define @t5 () (@list @t4)) % 1.44/1.78 (define @t6 () (@var "T_a" $$unsorted)) % 1.44/1.78 (define @t7 () (tptp.c_List_Olist_ONil @t6)) % 1.44/1.78 (define @t8 () (@var "V_xs" $$unsorted)) % 1.44/1.78 (define @t9 () (= @t8 @t7)) % 1.44/1.78 (define @t10 () (tptp.tc_List_Olist @t6)) % 1.44/1.78 (define @t11 () (tptp.c_Nat_Osize__class_Osize @t8 @t10)) % 1.44/1.78 (define @t12 () (tptp.c_HOL_Oord__class_Oless @t1 @t11 tptp.tc_nat)) % 1.44/1.78 (define @t13 () (@list @t8 @t6)) % 1.44/1.78 (define @t14 () (tptp.c_Nat_Osize__class_Osize @t7 @t10)) % 1.44/1.78 (define @t15 () (@list @t6)) % 1.44/1.78 (define @t16 () (tptp.c_HOL_Oord__class_Oless @t4 @t11 tptp.tc_nat)) % 1.44/1.78 (define @t17 () (not @t16)) % 1.44/1.78 (define @t18 () (tptp.c_List_Onth @t8 @t4 @t6)) % 1.44/1.78 (define @t19 () (@var "V_ys" $$unsorted)) % 1.44/1.78 (define @t20 () (tptp.c_List_Oappend @t8 @t19 @t6)) % 1.44/1.78 (define @t21 () (tptp.c_List_Onth @t20 @t4 @t6)) % 1.44/1.78 (define @t22 () (@list @t8 @t19 @t6 @t4)) % 1.44/1.78 (define @t23 () (@var "V_f" $$unsorted)) % 1.44/1.78 (define @t24 () (@var "T_b" $$unsorted)) % 1.44/1.78 (define @t25 () (tptp.c_List_Omap @t23 @t8 @t6 @t24)) % 1.44/1.78 (define @t26 () (@var "V_i" $$unsorted)) % 1.44/1.78 (define @t27 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t11 tptp.tc_nat))) % 1.44/1.78 (define @t28 () (@var "V_x" $$unsorted)) % 1.44/1.78 (define @t29 () (tptp.c_List_Olist__update @t8 @t26 @t28 @t6)) % 1.44/1.78 (define @t30 () (tptp.c_List_Olist__update @t8 @t4 @t28 @t6)) % 1.44/1.78 (define @t31 () (tptp.c_List_Olist__update @t20 @t4 @t28 @t6)) % 1.44/1.78 (define @t32 () (@list @t8 @t19 @t6 @t4 @t28)) % 1.44/1.78 (define @t33 () (@var "V_j" $$unsorted)) % 1.44/1.78 (define @t34 () (= @t26 @t33)) % 1.44/1.78 (define @t35 () (tptp.c_List_Onth @t8 @t33 @t6)) % 1.44/1.78 (define @t36 () (= (tptp.c_List_Onth @t29 @t33 @t6) @t35)) % 1.44/1.78 (define @t37 () (@list @t8 @t26 @t28 @t6 @t33)) % 1.44/1.78 (define @t38 () (@list @t8 @t26 @t28 @t6)) % 1.44/1.78 (define @t39 () (@var "V_xa" $$unsorted)) % 1.44/1.78 (define @t40 () (@var "V_P" $$unsorted)) % 1.44/1.78 (define @t41 () (tptp.c_List_OtakeWhile @t40 @t8 @t6)) % 1.44/1.78 (define @t42 () (tptp.c_Nat_Osize__class_Osize @t41 @t10)) % 1.44/1.78 (define @t43 () (@list @t40 @t8 @t6)) % 1.44/1.78 (define @t44 () (tptp.c_List_Onth @t8 @t26 @t6)) % 1.44/1.78 (define @t45 () (= (tptp.c_List_Olist__update @t8 @t26 @t44 @t6) @t8)) % 1.44/1.78 (define @t46 () (@list @t26 @t8 @t6)) % 1.44/1.78 (define @t47 () (= @t29 @t8)) % 1.44/1.78 (define @t48 () (tptp.c_List_Otake @t4 @t8 @t6)) % 1.44/1.78 (define @t49 () (tptp.c_List_Obutlast @t8 @t6)) % 1.44/1.78 (define @t50 () (@list @t4 @t8 @t6)) % 1.44/1.78 (define @t51 () (tptp.c_List_Olast @t8 @t6)) % 1.44/1.78 (define @t52 () (tptp.c_List_Odrop @t4 @t8 @t6)) % 1.44/1.78 (define @t53 () (= @t4 @t1)) % 1.44/1.78 (define @t54 () (tptp.c_HOL_Oord__class_Oless @t1 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t55 () (@var "V_b" $$unsorted)) % 1.44/1.78 (define @t56 () (@var "V_a" $$unsorted)) % 1.44/1.78 (define @t57 () (not (tptp.c_HOL_Oord__class_Oless @t56 @t55 tptp.tc_nat))) % 1.44/1.78 (define @t58 () (@var "V_c" $$unsorted)) % 1.44/1.78 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t56 @t55 @t6)) % 1.44/1.78 (define @t60 () (not @t59)) % 1.44/1.78 (define @t61 () (tptp.c_HOL_Ozero__class_Ozero @t6)) % 1.44/1.78 (define @t62 () (not (tptp.c_lessequals @t61 @t56 @t6))) % 1.44/1.78 (define @t63 () (not @t54)) % 1.44/1.78 (define @t64 () (tptp.c_Power_Opower__class_Opower @t55 @t4 @t6)) % 1.44/1.78 (define @t65 () (tptp.c_Power_Opower__class_Opower @t56 @t4 @t6)) % 1.44/1.78 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t65 @t64 @t6)) % 1.44/1.78 (define @t67 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t6))) % 1.44/1.78 (define @t68 () (@list @t6 @t56 @t4 @t55)) % 1.44/1.78 (define @t69 () (@var "V_A" $$unsorted)) % 1.44/1.78 (define @t70 () (not (tptp.c_in @t28 @t69 @t6))) % 1.44/1.78 (define @t71 () (@var "V_y" $$unsorted)) % 1.44/1.78 (define @t72 () (not (tptp.c_in @t71 @t69 @t6))) % 1.44/1.78 (define @t73 () (= @t28 @t71)) % 1.44/1.78 (define @t74 () (not (tptp.c_Fun_Oinj__on @t23 @t69 @t6 @t24))) % 1.44/1.78 (define @t75 () (tptp.hAPP @t23 @t71)) % 1.44/1.78 (define @t76 () (tptp.hAPP @t23 @t28)) % 1.44/1.78 (define @t77 () (not (= @t76 @t75))) % 1.44/1.78 (define @t78 () (@list @t23 @t28 @t71 @t69 @t6 @t24)) % 1.44/1.78 (define @t79 () (tptp.hAPP @t23 @t39)) % 1.44/1.78 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t28 @t71 @t6)) % 1.44/1.78 (define @t81 () (not @t80)) % 1.44/1.78 (define @t82 () (tptp.c_lessequals @t71 @t28 @t6)) % 1.44/1.78 (define @t83 () (not @t82)) % 1.44/1.78 (define @t84 () (not (tptp.class_Orderings_Opreorder @t6))) % 1.44/1.78 (define @t85 () (@list @t6 @t71 @t28)) % 1.44/1.78 (define @t86 () (tptp.c_lessequals @t28 @t71 @t6)) % 1.44/1.78 (define @t87 () (tptp.c_HOL_Oord__class_Oless @t71 @t28 @t6)) % 1.44/1.78 (define @t88 () (not (tptp.class_Orderings_Olinorder @t6))) % 1.44/1.78 (define @t89 () (not @t87)) % 1.44/1.78 (define @t90 () (not @t86)) % 1.44/1.78 (define @t91 () (@list @t6 @t28 @t71)) % 1.44/1.78 (define @t92 () (tptp.c_lessequals @t28 @t28 @t6)) % 1.44/1.78 (define @t93 () (tptp.c_HOL_Oord__class_Oless @t28 @t28 @t6)) % 1.44/1.78 (define @t94 () (@list @t6 @t28)) % 1.44/1.78 (define @t95 () (not @t93)) % 1.44/1.78 (define @t96 () (tptp.c_Divides_Odiv__class_Omod @t2 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t97 () (@list @t2 @t4)) % 1.44/1.78 (define @t98 () (@var "V_z" $$unsorted)) % 1.44/1.78 (define @t99 () (not (tptp.c_HOL_Oord__class_Oless @t98 @t71 @t6))) % 1.44/1.78 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t98 @t28 @t6)) % 1.44/1.78 (define @t101 () (not (tptp.class_Orderings_Oorder @t6))) % 1.44/1.78 (define @t102 () (@list @t6 @t98 @t28 @t71)) % 1.44/1.78 (define @t103 () (not (tptp.c_HOL_Oord__class_Oless @t71 @t98 @t6))) % 1.44/1.78 (define @t104 () (tptp.c_HOL_Oord__class_Oless @t28 @t98 @t6)) % 1.44/1.78 (define @t105 () (@list @t6 @t28 @t98 @t71)) % 1.44/1.78 (define @t106 () (tptp.c_List_Oset @t8 @t6)) % 1.44/1.78 (define @t107 () (tptp.c_in @t28 @t106 @t6)) % 1.44/1.78 (define @t108 () (not @t107)) % 1.44/1.78 (define @t109 () (tptp.c_List_Olist_Olist__size @t23 @t8 @t6)) % 1.44/1.78 (define @t110 () (@list @t71 @t23 @t8 @t6 @t28)) % 1.44/1.78 (define @t111 () (tptp.c_HOL_Oord__class_Oless @t2 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t112 () (not @t111)) % 1.44/1.78 (define @t113 () (@var "V_l" $$unsorted)) % 1.44/1.78 (define @t114 () (tptp.c_HOL_Ominus__class_Ominus @t113 @t2 tptp.tc_nat)) % 1.44/1.78 (define @t115 () (tptp.c_HOL_Ominus__class_Ominus @t113 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t116 () (@list @t113 @t4 @t2)) % 1.44/1.78 (define @t117 () (not (tptp.c_lessequals @t61 @t55 @t6))) % 1.44/1.78 (define @t118 () (@var "V_k" $$unsorted)) % 1.44/1.78 (define @t119 () (tptp.c_HOL_Oord__class_Oless @t28 @t28 tptp.tc_nat)) % 1.44/1.78 (define @t120 () (@list @t28)) % 1.44/1.78 (define @t121 () (= @t2 @t4)) % 1.44/1.78 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t4 @t2 tptp.tc_nat)) % 1.44/1.78 (define @t123 () (@list @t4 @t2)) % 1.44/1.78 (define @t124 () (tptp.hAPP @t40 @t4)) % 1.44/1.78 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t28 @t71 tptp.tc_nat)) % 1.44/1.78 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t55 @t6)) % 1.44/1.78 (define @t127 () (tptp.c_HOL_Oord__class_Oless @t126 @t28 @t6)) % 1.44/1.78 (define @t128 () (not (tptp.class_Lattices_Olower__semilattice @t6))) % 1.44/1.78 (define @t129 () (@list @t6 @t56 @t55 @t28)) % 1.44/1.78 (define @t130 () (tptp.c_lessequals @t2 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t131 () (tptp.c_HOL_Ominus__class_Ominus @t56 @t55 @t6)) % 1.44/1.78 (define @t132 () (tptp.c_HOL_Oord__class_Oless @t131 @t61 @t6)) % 1.44/1.78 (define @t133 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t6))) % 1.44/1.78 (define @t134 () (@list @t6 @t56 @t55)) % 1.44/1.78 (define @t135 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t4 @t6)) % 1.44/1.78 (define @t136 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t6)) % 1.44/1.78 (define @t137 () (tptp.c_HOL_Oord__class_Oless @t136 @t135 @t6)) % 1.44/1.78 (define @t138 () (@list @t6 @t2 @t4)) % 1.44/1.78 (define @t139 () (@var "V_w" $$unsorted)) % 1.44/1.78 (define @t140 () (tptp.c_Int_Onumber__class_Onumber__of @t139 @t6)) % 1.44/1.78 (define @t141 () (@var "V_v" $$unsorted)) % 1.44/1.78 (define @t142 () (tptp.c_Int_Onumber__class_Onumber__of @t141 @t6)) % 1.44/1.78 (define @t143 () (tptp.c_lessequals @t142 @t140 @t6)) % 1.44/1.78 (define @t144 () (tptp.c_HOL_Oord__class_Oless @t140 @t142 @t6)) % 1.44/1.78 (define @t145 () (not (tptp.class_Int_Onumber @t6))) % 1.44/1.78 (define @t146 () (not (tptp.c_lessequals @t118 @t2 tptp.tc_nat))) % 1.44/1.78 (define @t147 () (not (tptp.c_lessequals @t118 @t4 tptp.tc_nat))) % 1.44/1.78 (define @t148 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t118 tptp.tc_nat)) % 1.44/1.78 (define @t149 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t118 tptp.tc_nat)) % 1.44/1.78 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t149 @t148 tptp.tc_nat)) % 1.44/1.78 (define @t151 () (@list @t2 @t4 @t118)) % 1.44/1.78 (define @t152 () (@list @t2 @t118 @t4)) % 1.44/1.78 (define @t153 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t154 () (= @t96 (tptp.c_Divides_Odiv__class_Omod @t153 @t4 tptp.tc_nat))) % 1.44/1.78 (define @t155 () (not (tptp.c_lessequals @t98 @t71 @t6))) % 1.44/1.78 (define @t156 () (not (tptp.c_lessequals @t71 @t98 @t6))) % 1.44/1.78 (define @t157 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t2 tptp.tc_nat)) % 1.44/1.78 (define @t158 () (tptp.c_HOL_Oord__class_Oless @t1 @t157 tptp.tc_nat)) % 1.44/1.78 (define @t159 () (@var "V_y_H" $$unsorted)) % 1.44/1.78 (define @t160 () (@var "V_x_H" $$unsorted)) % 1.44/1.78 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t160 @t159 @t6)) % 1.44/1.78 (define @t162 () (tptp.c_HOL_Ominus__class_Ominus @t160 @t159 @t6)) % 1.44/1.78 (define @t163 () (tptp.c_HOL_Ominus__class_Ominus @t28 @t71 @t6)) % 1.44/1.78 (define @t164 () (not (= @t163 @t162))) % 1.44/1.78 (define @t165 () (@list @t6 @t28 @t71 @t160 @t159)) % 1.44/1.78 (define @t166 () (not (tptp.c_lessequals @t55 @t56 @t6))) % 1.44/1.78 (define @t167 () (= @t56 @t55)) % 1.44/1.78 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t55 @t56 @t6)) % 1.44/1.78 (define @t169 () (@list @t6 @t55 @t56)) % 1.44/1.78 (define @t170 () (not @t130)) % 1.44/1.78 (define @t171 () (tptp.c_lessequals @t56 @t55 @t6)) % 1.44/1.78 (define @t172 () (not @t171)) % 1.44/1.78 (define @t173 () (not @t168)) % 1.44/1.78 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t61 @t135 @t6)) % 1.44/1.78 (define @t175 () (@list @t6 @t4)) % 1.44/1.78 (define @t176 () (@list @t6 @t2)) % 1.44/1.78 (define @t177 () (@list @t6 @t56 @t4)) % 1.44/1.78 (define @t178 () (@var "V_s" $$unsorted)) % 1.44/1.78 (define @t179 () (tptp.c_Lambda_OdB_OVar @t26)) % 1.44/1.78 (define @t180 () (tptp.c_Lambda_OdB_OVar @t33)) % 1.44/1.78 (define @t181 () (@var "V_u" $$unsorted)) % 1.44/1.78 (define @t182 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t4 tptp.tc_nat))) % 1.44/1.78 (define @t183 () (tptp.c_List_Oreplicate @t4 @t28 @t6)) % 1.44/1.78 (define @t184 () (@list @t8 @t6 @t28)) % 1.44/1.78 (define @t185 () (tptp.hBOOL (tptp.hAPP @t40 @t28))) % 1.44/1.78 (define @t186 () (tptp.c_List_Ofilter @t40 @t8 @t6)) % 1.44/1.78 (define @t187 () (tptp.c_Nat_Osize__class_Osize @t186 @t10)) % 1.44/1.78 (define @t188 () (@list @t40 @t8 @t6 @t28)) % 1.44/1.78 (define @t189 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t11 tptp.tc_nat)) % 1.44/1.78 (define @t190 () (not (tptp.c_lessequals @t11 @t26 tptp.tc_nat))) % 1.44/1.78 (define @t191 () (tptp.tc_List_Olist @t24)) % 1.44/1.78 (define @t192 () (tptp.c_Nat_Osize__class_Osize @t19 @t191)) % 1.44/1.78 (define @t193 () (tptp.c_Map_Omap__upds @t2 @t8 @t19 @t6 @t24)) % 1.44/1.78 (define @t194 () (tptp.c_List_Olinorder__class_Osorted @t8 @t6)) % 1.44/1.78 (define @t195 () (not @t194)) % 1.44/1.78 (define @t196 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t11 tptp.tc_nat))) % 1.44/1.78 (define @t197 () (not (tptp.c_lessequals @t26 @t33 tptp.tc_nat))) % 1.44/1.78 (define @t198 () (tptp.c_lessequals @t44 @t35 @t6)) % 1.44/1.78 (define @t199 () (@list @t6 @t8 @t26 @t33)) % 1.44/1.78 (define @t200 () (tptp.c_Divides_Odiv__class_Omod @t55 @t58 @t6)) % 1.44/1.78 (define @t201 () (tptp.c_Divides_Odiv__class_Omod @t56 @t58 @t6)) % 1.44/1.78 (define @t202 () (tptp.c_Divides_Odiv__class_Omod @t131 @t58 @t6)) % 1.44/1.78 (define @t203 () (not (tptp.class_Divides_Oring__div @t6))) % 1.44/1.78 (define @t204 () (@list @t6 @t56 @t55 @t58)) % 1.44/1.78 (define @t205 () (@var "V_r" $$unsorted)) % 1.44/1.78 (define @t206 () (= @t205 @t178)) % 1.44/1.78 (define @t207 () (@var "V_ts" $$unsorted)) % 1.44/1.78 (define @t208 () (tptp.c_lessequals @t28 @t126 @t6)) % 1.44/1.78 (define @t209 () (not @t208)) % 1.44/1.78 (define @t210 () (tptp.c_lessequals @t28 @t56 @t6)) % 1.44/1.78 (define @t211 () (@list @t6 @t28 @t56 @t55)) % 1.44/1.78 (define @t212 () (tptp.c_lessequals @t28 @t55 @t6)) % 1.44/1.78 (define @t213 () (tptp.c_lessequals @t126 @t28 @t6)) % 1.44/1.78 (define @t214 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71 @t98 @t6)) % 1.44/1.78 (define @t215 () (tptp.c_lessequals @t28 @t214 @t6)) % 1.44/1.78 (define @t216 () (not @t215)) % 1.44/1.78 (define @t217 () (@list @t6 @t28 @t71 @t98)) % 1.44/1.78 (define @t218 () (tptp.c_lessequals @t28 @t98 @t6)) % 1.44/1.78 (define @t219 () (tptp.c_List_Oappend @t8 @t19 @t24)) % 1.44/1.78 (define @t220 () (tptp.c_HOL_Ominus__class_Ominus @t28 @t28 @t6)) % 1.44/1.78 (define @t221 () (= @t220 @t61)) % 1.44/1.78 (define @t222 () (not (tptp.class_Int_Onumber__ring @t6))) % 1.44/1.78 (define @t223 () (not (tptp.class_Ring__and__Field_Oidom @t6))) % 1.44/1.78 (define @t224 () (not (tptp.class_OrderedGroup_Ogroup__add @t6))) % 1.44/1.78 (define @t225 () (@list @t6 @t56)) % 1.44/1.78 (define @t226 () (not (tptp.class_OrderedGroup_Oab__group__add @t6))) % 1.44/1.78 (define @t227 () (not (tptp.class_Divides_Osemiring__div @t6))) % 1.44/1.78 (define @t228 () (not (= @t131 @t61))) % 1.44/1.78 (define @t229 () (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_Divides_Odiv__class_Omod @t4 @t1 tptp.tc_nat)))) % 1.44/1.78 (define @t230 () (tptp.hBOOL @t124)) % 1.44/1.78 (define @t231 () (@list @t40 @t4)) % 1.44/1.78 (define @t232 () (= @t153 @t1)) % 1.44/1.78 (define @t233 () (not @t232)) % 1.44/1.78 (define @t234 () (tptp.c_List_Olist_OCons @t28 @t8 @t24)) % 1.44/1.78 (define @t235 () (tptp.c_List_Olist_ONil @t24)) % 1.44/1.78 (define @t236 () (@var "V_xb" $$unsorted)) % 1.44/1.78 (define @t237 () (tptp.c_in @t28 (tptp.c_List_Oset (tptp.c_List_Oappend @t39 (tptp.c_List_Olist_OCons @t28 @t236 @t6) @t6) @t6) @t6)) % 1.44/1.78 (define @t238 () (@list @t28 @t39 @t236 @t6)) % 1.44/1.78 (define @t239 () (not @t185)) % 1.44/1.78 (define @t240 () (tptp.c_lessequals @t11 @t4 tptp.tc_nat)) % 1.44/1.78 (define @t241 () (= @t52 @t7)) % 1.44/1.78 (define @t242 () (not @t240)) % 1.44/1.78 (define @t243 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 1.44/1.78 (define @t244 () (tptp.c_Nat_Osize__class_Osize @t243 @t10)) % 1.44/1.78 (define @t245 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 1.44/1.78 (define @t246 () (tptp.c_Nat_Osize__class_Osize @t245 @t10)) % 1.44/1.78 (define @t247 () (tptp.c_lessequals @t246 @t244 tptp.tc_nat)) % 1.44/1.78 (define @t248 () (= (tptp.c_List_Otake @t244 @t245 @t6) @t243)) % 1.44/1.78 (define @t249 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 1.44/1.78 (define @t250 () (tptp.c_List_Oappend @t243 @t249 @t6)) % 1.44/1.78 (define @t251 () (@var "V_xs_092_060_094isub_0622" $$unsorted)) % 1.44/1.78 (define @t252 () (tptp.c_List_Oappend @t245 @t251 @t6)) % 1.44/1.78 (define @t253 () (not (= @t252 @t250))) % 1.44/1.78 (define @t254 () (@list @t245 @t251 @t6 @t243 @t249)) % 1.44/1.78 (define @t255 () (@list @t4 @t8 @t19 @t6)) % 1.44/1.78 (define @t256 () (not @t247)) % 1.44/1.78 (define @t257 () (= @t245 (tptp.c_List_Otake @t246 @t243 @t6))) % 1.44/1.78 (define @t258 () (@var "V_ss" $$unsorted)) % 1.44/1.78 (define @t259 () (tptp.c_Lambda_OdB_OAbs @t205)) % 1.44/1.78 (define @t260 () (tptp.c_Lambda_OdB_OVar @t4)) % 1.44/1.78 (define @t261 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t260 @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t262 () (@var "V_t" $$unsorted)) % 1.44/1.78 (define @t263 () (tptp.c_Lambda_OdB_OAbs @t178)) % 1.44/1.78 (define @t264 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t263) @t262)) % 1.44/1.78 (define @t265 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t246 @t243 @t6) @t249 @t6)) % 1.44/1.78 (define @t266 () (tptp.c_List_Odrop @t244 @t245 @t6)) % 1.44/1.78 (define @t267 () (tptp.c_List_Oappend @t266 @t251 @t6)) % 1.44/1.78 (define @t268 () (tptp.c_List_Oremdups @t8 @t6)) % 1.44/1.78 (define @t269 () (tptp.c_List_Olist_OCons @t28 @t8 @t6)) % 1.44/1.78 (define @t270 () (tptp.c_List_Oremdups @t269 @t6)) % 1.44/1.78 (define @t271 () (@list @t28 @t8 @t6)) % 1.44/1.78 (define @t272 () (tptp.c_List_Obutlast @t19 @t6)) % 1.44/1.78 (define @t273 () (tptp.c_List_Obutlast @t20 @t6)) % 1.44/1.78 (define @t274 () (tptp.c_in @t28 (tptp.c_List_Oset @t273 @t6) @t6)) % 1.44/1.78 (define @t275 () (@list @t28 @t8 @t19 @t6)) % 1.44/1.78 (define @t276 () (not (tptp.c_in @t28 (tptp.c_List_Oset @t49 @t6) @t6))) % 1.44/1.78 (define @t277 () (tptp.c_List_Oremove1 @t28 @t8 @t6)) % 1.44/1.78 (define @t278 () (tptp.c_List_Oremove1 @t28 @t20 @t6)) % 1.44/1.78 (define @t279 () (@var "V_as" $$unsorted)) % 1.44/1.78 (define @t280 () (tptp.c_List_Orotate @t4 @t8 @t6)) % 1.44/1.78 (define @t281 () (tptp.c_Divides_Odiv__class_Omod @t4 @t11 tptp.tc_nat)) % 1.44/1.78 (define @t282 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t283 () (= @t258 @t282)) % 1.44/1.78 (define @t284 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t178 @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t285 () (not (= @t259 @t284))) % 1.44/1.78 (define @t286 () (@list @t205 @t178 @t258)) % 1.44/1.78 (define @t287 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t259 @t282 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t288 () (@list @t205)) % 1.44/1.78 (define @t289 () (not (= @t284 @t259))) % 1.44/1.78 (define @t290 () (@list @t178 @t258 @t205)) % 1.44/1.78 (define @t291 () (tptp.c_List_Osko__List__Xlistsum__map__filter__1__1 @t40 @t23 @t8 @t6 @t24)) % 1.44/1.78 (define @t292 () (= (tptp.c_List_Olistsum (tptp.c_List_Omap @t23 @t186 @t6 @t24) @t24) (tptp.c_List_Olistsum @t25 @t24))) % 1.44/1.78 (define @t293 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t24))) % 1.44/1.78 (define @t294 () (@list @t24 @t23 @t40 @t8 @t6)) % 1.44/1.78 (define @t295 () (tptp.c_Lambda_OdB_OVar @t2)) % 1.44/1.78 (define @t296 () (not (= @t295 @t284))) % 1.44/1.78 (define @t297 () (@list @t2 @t178 @t258)) % 1.44/1.78 (define @t298 () (tptp.c_List_Olength__unique @t8 @t6)) % 1.44/1.78 (define @t299 () (tptp.c_in @t56 @t106 @t6)) % 1.44/1.78 (define @t300 () (not @t299)) % 1.44/1.78 (define @t301 () (tptp.c_List_Oremove1 @t56 @t8 @t6)) % 1.44/1.78 (define @t302 () (not (tptp.class_Orderings_Olinorder @t24))) % 1.44/1.78 (define @t303 () (tptp.hAPP tptp.c_Lambda_Osubst @t262)) % 1.44/1.78 (define @t304 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t262 @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t305 () (tptp.c_List_Orev @t8 @t6)) % 1.44/1.78 (define @t306 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t71 @t6)) % 1.44/1.78 (define @t307 () (= @t306 @t28)) % 1.44/1.78 (define @t308 () (tptp.c_lessequals @t149 @t148 tptp.tc_nat)) % 1.44/1.78 (define @t309 () (tptp.c_lessequals @t136 @t135 @t6)) % 1.44/1.78 (define @t310 () (tptp.c_Divides_Odiv__class_Omod @t56 @t55 @t6)) % 1.44/1.78 (define @t311 () (tptp.c_lessequals @t4 @t2 tptp.tc_nat)) % 1.44/1.78 (define @t312 () (not @t311)) % 1.44/1.78 (define @t313 () (@var "V_b_H" $$unsorted)) % 1.44/1.78 (define @t314 () (@var "V_a_H" $$unsorted)) % 1.44/1.78 (define @t315 () (tptp.c_lessequals @t131 @t61 @t6)) % 1.44/1.78 (define @t316 () (tptp.c_lessequals @t306 @t28 @t6)) % 1.44/1.78 (define @t317 () (not (tptp.class_Lattices_Olattice @t6))) % 1.44/1.78 (define @t318 () (tptp.c_lessequals @t306 @t71 @t6)) % 1.44/1.78 (define @t319 () (tptp.c_lessequals @t159 @t160 @t6)) % 1.44/1.78 (define @t320 () (not (tptp.c_List_Olinorder__class_Osorted @t269 @t6))) % 1.44/1.78 (define @t321 () (tptp.c_lessequals @t28 @t39 @t6)) % 1.44/1.78 (define @t322 () (not (tptp.c_List_Olinorder__class_Osorted @t20 @t6))) % 1.44/1.78 (define @t323 () (not (tptp.c_in @t71 (tptp.c_List_Oset @t269 @t6) @t6))) % 1.44/1.78 (define @t324 () (tptp.c_in @t71 @t106 @t6)) % 1.44/1.78 (define @t325 () (or @t324 (= @t71 @t28) @t323)) % 1.44/1.78 (define @t326 () (forall (@list @t71 @t8 @t6 @t28) @t325)) % 1.44/1.78 (define @t327 () (@var "V_g" $$unsorted)) % 1.44/1.78 (define @t328 () (tptp.c_List_Omap @t23 @t8 @t24 @t6)) % 1.44/1.78 (define @t329 () (tptp.c_List_Olist_OCons @t28 @t19 @t6)) % 1.44/1.78 (define @t330 () (@list @t28 @t8 @t6 @t4)) % 1.44/1.78 (define @t331 () (not (tptp.c_Lambda_Obeta @t205 @t178))) % 1.44/1.78 (define @t332 () (@var "V_rs" $$unsorted)) % 1.44/1.78 (define @t333 () (= @t332 @t258)) % 1.44/1.78 (define @t334 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t259 @t332 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t263 @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.44/1.78 (define @t335 () (@list @t205 @t332 @t178 @t258)) % 1.44/1.78 (define @t336 () (not (tptp.c_in @t28 (tptp.c_List_Oset @t41 @t6) @t6))) % 1.44/1.78 (define @t337 () (@list @t40 @t28 @t8 @t6)) % 1.44/1.78 (define @t338 () (tptp.c_List_Olistsp @t69 @t8 @t6)) % 1.44/1.78 (define @t339 () (not @t338)) % 1.44/1.78 (define @t340 () (tptp.hBOOL (tptp.hAPP @t69 @t28))) % 1.44/1.78 (define @t341 () (tptp.c_List_Oreplicate @t4 @t71 @t6)) % 1.44/1.78 (define @t342 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t295 @t332 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t261))) % 1.44/1.78 (define @t343 () (@list @t2 @t332 @t4 @t258)) % 1.44/1.78 (define @t344 () (@var "V_zs" $$unsorted)) % 1.44/1.78 (define @t345 () (tptp.c_List_Olist_OCons @t71 @t344 @t6)) % 1.44/1.78 (define @t346 () (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t28 @t345 @t6) @t6)) % 1.44/1.78 (define @t347 () (not @t346)) % 1.44/1.78 (define @t348 () (@list @t6 @t28 @t71 @t344)) % 1.44/1.78 (define @t349 () (tptp.c_List_Olinorder__class_Osorted @t345 @t6)) % 1.44/1.78 (define @t350 () (@list @t28 @t71 @t8 @t6)) % 1.44/1.78 (define @t351 () (tptp.c_in @t56 (tptp.c_List_Oset (tptp.c_List_Oremove1 @t55 @t8 @t6) @t6) @t6)) % 1.44/1.78 (define @t352 () (@var "V_I" $$unsorted)) % 1.44/1.78 (define @t353 () (not (tptp.c_in @t28 (tptp.c_List_Oset (tptp.c_List_Osublist @t8 @t352 @t6) @t6) @t6))) % 1.44/1.78 (define @t354 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t205) @t178)) % 1.44/1.78 (define @t355 () (tptp.c_Nat_Osize__class_Osize @t268 @t10)) % 1.44/1.78 (define @t356 () (tptp.c_List_Oreplicate @t118 @t28 @t6)) % 1.44/1.78 (define @t357 () (tptp.c_lessequals @t76 @t75 @t24)) % 1.44/1.78 (define @t358 () (tptp.c_List_Olist_OCons @t71 @t19 @t6)) % 1.44/1.78 (define @t359 () (tptp.c_List_Olinorder__class_Oinsort__key @t23 @t28 @t358 @t6 @t24)) % 1.44/1.78 (define @t360 () (@list @t24 @t23 @t28 @t71 @t19 @t6)) % 1.44/1.78 (define @t361 () (tptp.c_List_Olist_ONil tptp.t_a)) % 1.44/1.78 (define @t362 () (not (tptp.hBOOL (tptp.hAPP @t40 @t361)))) % 1.44/1.78 (define @t363 () (tptp.v_sko__List__Xconcat__Xinduct__2 @t40)) % 1.44/1.78 (define @t364 () (@var "V_list" $$unsorted)) % 1.44/1.78 (define @t365 () (tptp.hBOOL (tptp.hAPP @t40 @t364))) % 1.44/1.78 (define @t366 () (@list @t40 @t364)) % 1.44/1.78 (define @t367 () (tptp.v_sko__List__Xtake__Xinduct__2 @t40)) % 1.44/1.78 (define @t368 () (tptp.v_sko__List__Xmap__Xinduct__2 @t40)) % 1.44/1.78 (define @t369 () (tptp.v_sko__List__Xlist__Xinduct__2 @t40)) % 1.44/1.78 (define @t370 () (tptp.v_sko__List__XdropWhile__Xinduct__2 @t40)) % 1.44/1.78 (define @t371 () (tptp.v_sko__List__Xlistset__Xinduct__2 @t40)) % 1.44/1.78 (define @t372 () (tptp.v_sko__List__Xremove1__Xinduct__2 @t40)) % 1.44/1.78 (define @t373 () (tptp.v_sko__List__Xdistinct__Xinduct__2 @t40)) % 1.44/1.78 (define @t374 () (not @t248)) % 1.44/1.78 (define @t375 () (= (tptp.c_List_Oappend @t245 @t265 @t6) @t250)) % 1.44/1.78 (define @t376 () (not @t257)) % 1.44/1.78 (define @t377 () (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t69 @t8 @t6)) % 1.44/1.78 (define @t378 () (@list @t69 @t8 @t6)) % 1.44/1.78 (define @t379 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t26 tptp.tc_nat)) % 1.44/1.78 (define @t380 () (tptp.hAPP tptp.c_Lambda_Osubst @t205)) % 1.44/1.78 (define @t381 () (tptp.hAPP tptp.c_Lambda_Olift @t262)) % 1.44/1.78 (define @t382 () (tptp.hAPP @t381 @t26)) % 1.44/1.78 (define @t383 () (tptp.c_List_Odrop @t4 @t49 @t6)) % 1.44/1.78 (define @t384 () (tptp.c_List_Obutlast @t52 @t6)) % 1.44/1.78 (define @t385 () (@list @t4 @t28 @t6)) % 1.44/1.78 (define @t386 () (not (tptp.c_Lambda_Obeta @t178 @t262))) % 1.44/1.78 (define @t387 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t181)) % 1.44/1.78 (define @t388 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t262)) % 1.44/1.78 (define @t389 () (tptp.hAPP @t388 @t181)) % 1.44/1.78 (define @t390 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t178)) % 1.44/1.78 (define @t391 () (tptp.c_List_Oappend @t8 @t7 @t6)) % 1.44/1.78 (define @t392 () (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Omap @t23 (tptp.c_List_Olinorder__class_Oinsort__key @t23 @t28 @t8 @t24 @t6) @t24 @t6) @t6)) % 1.44/1.78 (define @t393 () (tptp.c_List_Olinorder__class_Osorted @t328 @t6)) % 1.44/1.78 (define @t394 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t262)))) % 1.44/1.78 (define @t395 () (@list @t262 @t26)) % 1.44/1.78 (define @t396 () (tptp.tc_fun @t6 tptp.tc_bool)) % 1.44/1.78 (define @t397 () (@var "V_B" $$unsorted)) % 1.44/1.78 (define @t398 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 @t397 @t396)) % 1.44/1.78 (define @t399 () (tptp.hBOOL (tptp.hAPP @t398 @t28))) % 1.44/1.78 (define @t400 () (not @t399)) % 1.44/1.78 (define @t401 () (tptp.hBOOL (tptp.hAPP @t397 @t28))) % 1.44/1.78 (define @t402 () (@list @t178 @t262)) % 1.44/1.78 (define @t403 () (tptp.c_List_Orev @t19 @t6)) % 1.44/1.78 (define @t404 () (@list @t8 @t19 @t6)) % 1.44/1.78 (define @t405 () (@var "V_nat" $$unsorted)) % 1.44/1.78 (define @t406 () (tptp.c_Lambda_OdB_OVar @t405)) % 1.44/1.78 (define @t407 () (@var "V_dB2_H" $$unsorted)) % 1.44/1.78 (define @t408 () (@var "V_dB1_H" $$unsorted)) % 1.44/1.78 (define @t409 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t408) @t407)) % 1.44/1.78 (define @t410 () (tptp.c_List_Ofilter @t40 @t19 @t6)) % 1.44/1.78 (define @t411 () (= @t56 @t61)) % 1.44/1.78 (define @t412 () (not (= @t65 @t61))) % 1.44/1.78 (define @t413 () (not (tptp.class_Power_Opower @t6))) % 1.44/1.78 (define @t414 () (not (tptp.class_Ring__and__Field_Omult__zero @t6))) % 1.44/1.78 (define @t415 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t6))) % 1.44/1.78 (define @t416 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t6))) % 1.44/1.78 (define @t417 () (tptp.c_List_Oreplicate @t1 @t28 @t6)) % 1.44/1.78 (define @t418 () (not (= (tptp.c_List_Oreplicate @t2 @t28 @t6) @t341))) % 1.44/1.78 (define @t419 () (@list @t2 @t28 @t6 @t4 @t71)) % 1.44/1.78 (define @t420 () (tptp.c_Int_Onumber__class_Onumber__of @t141 tptp.tc_nat)) % 1.44/1.78 (define @t421 () (not (= @t420 @t1))) % 1.44/1.78 (define @t422 () (@list @t141 @t28 @t8 @t6)) % 1.44/1.78 (define @t423 () (@var "V_f2" $$unsorted)) % 1.44/1.78 (define @t424 () (@var "V_f1" $$unsorted)) % 1.44/1.78 (define @t425 () (tptp.hAPP (tptp.hAPP @t423 @t56) @t364)) % 1.44/1.78 (define @t426 () (tptp.c_List_Ofilter @t40 @t269 @t6)) % 1.44/1.78 (define @t427 () (tptp.c_List_Olist_OCons @t56 @t364 @t24)) % 1.44/1.78 (define @t428 () (@list @t424 @t423 @t56 @t364 @t24 @t6)) % 1.44/1.78 (define @t429 () (tptp.c_List_Olist_OCons @t71 @t8 @t6)) % 1.44/1.78 (define @t430 () (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t39 @t344 @t6) @t6)) % 1.44/1.78 (define @t431 () (tptp.c_List_Olist_OCons @t28 @t39 @t6)) % 1.44/1.78 (define @t432 () (tptp.c_List_Oappend @t431 @t344 @t6)) % 1.44/1.78 (define @t433 () (@var "V_xs1" $$unsorted)) % 1.44/1.78 (define @t434 () (tptp.c_List_OtakeWhile @t40 @t269 @t6)) % 1.44/1.78 (define @t435 () (tptp.c_List_Olist_OCons @t28 @t7 @t6)) % 1.44/1.78 (define @t436 () (tptp.c_List_Oappend @t8 @t435 @t6)) % 1.44/1.78 (define @t437 () (@list @t8 @t28 @t6)) % 1.44/1.78 (define @t438 () (tptp.c_List_Olist_OCons @t71 @t7 @t6)) % 1.44/1.78 (define @t439 () (tptp.c_List_Oappend @t403 @t438 @t6)) % 1.44/1.78 (define @t440 () (tptp.c_List_Oreplicate @t26 @t28 @t6)) % 1.44/1.78 (define @t441 () (tptp.c_List_Oappend @t7 @t7 @t6)) % 1.44/1.78 (define @t442 () (= @t8 @t235)) % 1.44/1.78 (define @t443 () (@list @t23 @t8 @t24 @t6)) % 1.44/1.78 (define @t444 () (tptp.c_List_Orev @t7 @t6)) % 1.44/1.78 (define @t445 () (@list @t40 @t6)) % 1.44/1.78 (define @t446 () (tptp.c_List_Oremdups @t7 @t6)) % 1.44/1.78 (define @t447 () (@list @t19 @t8 @t6)) % 1.44/1.78 (define @t448 () (= @t19 @t7)) % 1.44/1.78 (define @t449 () (= @t28 @t7)) % 1.44/1.78 (define @t450 () (tptp.c_List_Oremdups @t28 @t6)) % 1.44/1.78 (define @t451 () (@list @t28 @t6)) % 1.44/1.78 (define @t452 () (@list @t6 @t19)) % 1.44/1.78 (define @t453 () (@list @t6 @t8)) % 1.44/1.78 (define @t454 () (not (= @t20 @t7))) % 1.44/1.78 (define @t455 () (not (= @t7 @t20))) % 1.44/1.78 (define @t456 () (@list @t6 @t8 @t19)) % 1.44/1.78 (define @t457 () (@list @t4 @t6)) % 1.44/1.78 (define @t458 () (tptp.c_List_Oappend @t7 @t19 @t6)) % 1.44/1.78 (define @t459 () (@list @t19 @t6)) % 1.44/1.78 (define @t460 () (tptp.c_List_Omap @t23 @t235 @t24 @t6)) % 1.44/1.78 (define @t461 () (@list @t23 @t24 @t6)) % 1.44/1.78 (define @t462 () (= @t306 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71 @t28 @t6))) % 1.44/1.78 (define @t463 () (@list @t69 @t397 @t6)) % 1.44/1.78 (define @t464 () (tptp.c_in @t58 @t398 @t6)) % 1.44/1.78 (define @t465 () (not @t464)) % 1.44/1.78 (define @t466 () (tptp.c_in @t58 @t69 @t6)) % 1.44/1.78 (define @t467 () (tptp.c_in @t58 @t397 @t6)) % 1.44/1.78 (define @t468 () (@var "V_Q" $$unsorted)) % 1.44/1.78 (define @t469 () (@var "V_R" $$unsorted)) % 1.44/1.78 (define @t470 () (@var "T_c" $$unsorted)) % 1.44/1.78 (define @t471 () (@var "V_S" $$unsorted)) % 1.44/1.78 (define @t472 () (tptp.c_in @t28 @t471 @t6)) % 1.44/1.78 (define @t473 () (tptp.hBOOL (tptp.hAPP @t471 @t28))) % 1.44/1.78 (define @t474 () (@list @t4 @t23 @t8 @t24 @t6)) % 1.44/1.78 (define @t475 () (@list @t6 @t4 @t8)) % 1.44/1.78 (define @t476 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t178) @t262)) % 1.44/1.78 (define @t477 () (= @t19 @t344)) % 1.44/1.78 (define @t478 () (tptp.c_List_Oappend @t8 @t344 @t6)) % 1.44/1.78 (define @t479 () (@list @t8 @t19 @t6 @t344)) % 1.44/1.78 (define @t480 () (tptp.c_List_Oappend @t8 @t329 @t6)) % 1.44/1.78 (define @t481 () (tptp.c_List_Orev @t305 @t6)) % 1.44/1.78 (define @t482 () (= @t268 @t8)) % 1.44/1.78 (define @t483 () (= @t355 @t11)) % 1.44/1.78 (define @t484 () (@list @t8 @t6 @t19)) % 1.44/1.78 (define @t485 () (tptp.c_Nat_Osize__class_Osize @t8 @t191)) % 1.44/1.78 (define @t486 () (@var "V_dB_H" $$unsorted)) % 1.44/1.78 (define @t487 () (tptp.c_Lambda_OdB_OAbs @t486)) % 1.44/1.78 (define @t488 () (tptp.c_List_Ofilter @t40 @t183 @t6)) % 1.44/1.78 (define @t489 () (@list @t40 @t4 @t28 @t6)) % 1.44/1.78 (define @t490 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t214 @t6)) % 1.44/1.78 (define @t491 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t98 @t6) @t490)) % 1.44/1.78 (define @t492 () (= @t490 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t98 @t6) @t6))) % 1.44/1.78 (define @t493 () (@var "V_C" $$unsorted)) % 1.44/1.78 (define @t494 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t397 @t493 @t396) @t396)) % 1.44/1.78 (define @t495 () (@var "V_dB" $$unsorted)) % 1.44/1.78 (define @t496 () (tptp.c_List_Omap @t23 @t19 @t24 @t6)) % 1.44/1.78 (define @t497 () (not (= @t11 @t192))) % 1.44/1.78 (define @t498 () (@list @t8 @t6 @t19 @t24 @t2 @t344)) % 1.44/1.78 (define @t499 () (@var "V_dB2" $$unsorted)) % 1.44/1.78 (define @t500 () (@var "V_dB1" $$unsorted)) % 1.44/1.78 (define @t501 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t500) @t499)) % 1.44/1.78 (define @t502 () (not (= @t501 @t409))) % 1.44/1.78 (define @t503 () (@list @t500 @t499 @t408 @t407)) % 1.44/1.78 (define @t504 () (= @t8 @t19)) % 1.44/1.78 (define @t505 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t306 @t6) @t306)) % 1.44/1.78 (define @t506 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t205)))) % 1.44/1.78 (define @t507 () (@list @t69 @t6)) % 1.44/1.78 (define @t508 () (@var "V_i_H" $$unsorted)) % 1.44/1.78 (define @t509 () (@var "V_nat_H" $$unsorted)) % 1.44/1.78 (define @t510 () (@var "V_us" $$unsorted)) % 1.44/1.78 (define @t511 () (@list @t424 @t423 @t24 @t6)) % 1.44/1.78 (define @t512 () (@var "V_bs" $$unsorted)) % 1.44/1.78 (define @t513 () (tptp.c_List_Olistsp @t69 @t19 @t6)) % 1.44/1.78 (define @t514 () (tptp.c_List_Olistsp @t69 @t20 @t6)) % 1.44/1.78 (define @t515 () (not @t514)) % 1.44/1.78 (define @t516 () (tptp.hAPP @t381 @t118)) % 1.44/1.78 (define @t517 () (tptp.hAPP tptp.c_Lambda_Olift @t178)) % 1.44/1.78 (define @t518 () (tptp.c_in @t1 @t69 tptp.tc_nat)) % 1.44/1.78 (define @t519 () (tptp.c_List_Osublist @t435 @t69 @t6)) % 1.44/1.78 (define @t520 () (@list @t28 @t6 @t69)) % 1.44/1.78 (define @t521 () (not (tptp.c_List_Olistsp @t69 @t56 tptp.t_a))) % 1.44/1.78 (define @t522 () (= @t56 @t361)) % 1.44/1.78 (define @t523 () (tptp.v_sko__List__Xlistsp__Xcases__2 @t69 @t56)) % 1.44/1.78 (define @t524 () (tptp.v_sko__List__Xlistsp__Xcases__1 @t69 @t56)) % 1.44/1.78 (define @t525 () (not (tptp.c_List_Olistsp @t69 @t28 tptp.t_a))) % 1.44/1.78 (define @t526 () (tptp.v_sko__List__Xlistsp__Xinduct__2 @t69 @t40)) % 1.44/1.78 (define @t527 () (tptp.v_sko__List__Xlistsp__Xinduct__1 @t69 @t40)) % 1.44/1.78 (define @t528 () (@list @t40 @t28 @t69)) % 1.44/1.78 (define @t529 () (tptp.v_sko__List__Xlistsp__Xinducts__2 @t69 @t40)) % 1.44/1.78 (define @t530 () (tptp.v_sko__List__Xlistsp__Xinducts__1 @t69 @t40)) % 1.44/1.78 (define @t531 () (= (tptp.c_Power_Opower__class_Opower @t61 @t4 @t6) @t61)) % 1.44/1.78 (define @t532 () (@var "V_fa" $$unsorted)) % 1.44/1.78 (define @t533 () (not (= @t436 (tptp.c_List_Oappend @t19 @t438 @t6)))) % 1.44/1.78 (define @t534 () (@list @t8 @t28 @t6 @t19 @t71)) % 1.44/1.78 (define @t535 () (tptp.c_List_Oappend @t7 @t269 @t6)) % 1.44/1.78 (define @t536 () (= @t8 @t435)) % 1.44/1.78 (define @t537 () (tptp.c_List_Orev @t435 @t6)) % 1.44/1.78 (define @t538 () (@list @t69 @t56)) % 1.44/1.78 (define @t539 () (@var "V_list_H" $$unsorted)) % 1.44/1.78 (define @t540 () (tptp.c_List_Olist_OCons @t314 @t539 @t6)) % 1.44/1.78 (define @t541 () (not (= (tptp.c_List_Olist_OCons @t56 @t364 @t6) @t540))) % 1.44/1.78 (define @t542 () (@list @t56 @t364 @t6 @t314 @t539)) % 1.44/1.78 (define @t543 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift tptp.v_ta____) @t1)) % 1.44/1.78 (define @t544 () (tptp.hAPP tptp.c_InductTermi_OIT @t543)) % 1.44/1.78 (define @t545 () (tptp.hBOOL @t544)) % 1.44/1.78 (define @t546 () (tptp.c_List_Olist_OCons @t543 @t282 tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t547 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t546 tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t548 () (@var "T_1" $$unsorted)) % 1.44/1.78 (define @t549 () (not (tptp.class_Lattices_Olattice @t548))) % 1.44/1.78 (define @t550 () (@var "T_2" $$unsorted)) % 1.44/1.78 (define @t551 () (tptp.tc_fun @t550 @t548)) % 1.44/1.78 (define @t552 () (@list @t550 @t548)) % 1.44/1.78 (define @t553 () (@var "V_Y" $$unsorted)) % 1.44/1.78 (define @t554 () (@var "V_X" $$unsorted)) % 1.44/1.78 (define @t555 () (@list tptp.c_InductTermi_OIT @t546 tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t556 () (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 tptp.c_InductTermi_OIT @t546 tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t557 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t556)))) % 1.44/1.78 (define @t558 () (or @t547 @t557)) % 1.44/1.78 (define @t559 () (@list true false)) % 1.44/1.78 (define @t560 () (tptp.c_in @t556 (tptp.c_List_Oset @t282 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t561 () (not @t560)) % 1.44/1.78 (define @t562 () (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_Nat_Osize__class_Osize @t282 (tptp.tc_List_Olist tptp.tc_Lambda_OdB)) tptp.tc_nat)) % 1.44/1.78 (define @t563 () (or @t562 @t561)) % 1.44/1.78 (define @t564 () (tptp.c_in @t556 (tptp.c_List_Oset @t546 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 1.44/1.78 (define @t565 () (or @t547 @t564)) % 1.44/1.78 (define @t566 () (not @t564)) % 1.44/1.78 (define @t567 () (= @t543 @t556)) % 1.44/1.78 (define @t568 () (or @t560 @t567 @t566)) % 1.44/1.78 (assume @p1 (forall @t3 (not (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)))) % 1.44/1.78 (assume @p2 (forall @t5 (not (tptp.c_HOL_Oord__class_Oless @t4 @t1 tptp.tc_nat)))) % 1.44/1.78 (assume @p3 (forall @t13 (or @t12 @t9))) % 1.44/1.78 (assume @p4 (forall @t15 (not (tptp.c_HOL_Oord__class_Oless @t1 @t14 tptp.tc_nat)))) % 1.44/1.78 (assume @p5 (forall @t22 (or (= @t21 @t18) @t17))) % 1.44/1.78 (assume @p6 (forall (@list @t23 @t8 @t6 @t24 @t4) (or (= (tptp.c_List_Onth @t25 @t4 @t24) (tptp.hAPP @t23 @t18)) @t17))) % 1.44/1.78 (assume @p7 (forall (@list @t8 @t19 @t6 @t26 @t28) (or (= (tptp.c_List_Olist__update @t20 @t26 @t28 @t6) (tptp.c_List_Oappend @t29 @t19 @t6)) @t27))) % 1.44/1.78 (assume @p8 (forall @t32 (or (= @t31 (tptp.c_List_Oappend @t30 @t19 @t6)) @t17))) % 1.44/1.78 (assume @p9 (forall @t37 (or @t36 @t34 @t27))) % 1.44/1.78 (assume @p10 (forall @t38 (or (= (tptp.c_List_Onth @t29 @t26 @t6) @t28) @t27))) % 1.44/1.78 (assume @p11 (forall (@list @t28 @t8 @t6 @t39) (or (not (tptp.c_HOL_Oord__class_Oless @t28 @t11 tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Olist__update @t8 @t28 @t39 @t6) @t28 @t6) @t39)))) % 1.44/1.78 (assume @p12 (forall @t43 (or (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Onth @t8 @t42 @t6)))) (not (tptp.c_HOL_Oord__class_Oless @t42 @t11 tptp.tc_nat))))) % 1.44/1.78 (assume @p13 (forall @t46 (or @t27 @t45))) % 1.44/1.78 (assume @p14 (forall (@list @t40 @t8 @t6 @t33) (or (= (tptp.c_List_Onth @t41 @t33 @t6) @t35) (not (tptp.c_HOL_Oord__class_Oless @t33 @t42 tptp.tc_nat))))) % 1.44/1.78 (assume @p15 (forall @t38 (or (not @t47) @t27 (= @t44 @t28)))) % 1.44/1.78 (assume @p16 (forall @t50 (or (= (tptp.c_List_Otake @t4 @t49 @t6) @t48) @t17))) % 1.44/1.78 (assume @p17 (forall @t50 (or (= (tptp.c_List_Olast @t52 @t6) @t51) @t17))) % 1.44/1.78 (assume @p18 (forall @t5 (or @t54 @t53))) % 1.44/1.78 (assume @p19 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat))) % 1.44/1.78 (assume @p20 (forall (@list @t56 @t58 @t55) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t56 @t58 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t55 @t58 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t58 @t56 tptp.tc_nat)) @t57))) % 1.44/1.78 (assume @p21 (forall @t68 (or @t67 @t66 @t63 @t62 @t60))) % 1.44/1.78 (assume @p22 (forall @t78 (or @t77 @t74 @t73 @t72 @t70))) % 1.44/1.78 (assume @p23 (forall (@list @t23 @t28 @t39 @t69 @t6 @t24) (or (not (= @t76 @t79)) (not (tptp.c_in @t39 @t69 @t6)) @t70 @t74 (= @t28 @t39)))) % 1.44/1.78 (assume @p24 (forall @t78 (or @t77 @t72 @t70 @t74 @t73))) % 1.44/1.78 (assume @p25 (forall @t78 (or @t77 @t72 @t70 @t73 @t74))) % 1.44/1.78 (assume @p26 (forall @t85 (or @t84 @t83 @t81))) % 1.44/1.78 (assume @p27 (forall @t85 (or @t88 @t87 @t86))) % 1.44/1.78 (assume @p28 (forall @t91 (or @t88 @t90 @t89))) % 1.44/1.78 (assume @p29 (forall @t85 (or @t88 @t82 @t80))) % 1.44/1.78 (assume @p30 (forall @t91 (or @t88 @t81 @t83))) % 1.44/1.78 (assume @p31 (forall @t94 (or @t88 @t93 @t92))) % 1.44/1.78 (assume @p32 (forall @t94 (or @t88 (not @t92) @t95))) % 1.44/1.78 (assume @p33 (forall @t91 (or @t88 @t80 @t82))) % 1.44/1.78 (assume @p34 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t96 @t4 tptp.tc_nat) @t63))) % 1.44/1.78 (assume @p35 (forall @t102 (or @t101 @t100 @t99 @t89))) % 1.44/1.78 (assume @p36 (forall @t105 (or @t84 @t104 @t103 @t81))) % 1.44/1.78 (assume @p37 (forall @t110 (or (tptp.c_HOL_Oord__class_Oless @t71 @t109 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t71 @t76 tptp.tc_nat)) @t108))) % 1.44/1.78 (assume @p38 (forall @t97 (or (tptp.c_lessequals @t96 @t4 tptp.tc_nat) @t63))) % 1.44/1.78 (assume @p39 (forall @t116 (or (tptp.c_HOL_Oord__class_Oless @t115 @t114 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t2 @t113 tptp.tc_nat)) @t112))) % 1.44/1.78 (assume @p40 (forall (@list @t6 @t56 @t55 @t4) (or @t67 @t59 @t117 (not @t66)))) % 1.44/1.78 (assume @p41 (forall (@list @t33 @t4 @t118) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t33 @t4 tptp.tc_nat) @t118 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t33 @t118 tptp.tc_nat))))) % 1.44/1.78 (assume @p42 (forall @t97 (or (= @t96 @t2) @t112))) % 1.44/1.78 (assume @p43 (forall @t91 (or @t84 @t80 @t82 @t90))) % 1.44/1.78 (assume @p44 (forall @t120 (not @t119))) % 1.44/1.78 (assume @p45 (forall @t5 (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 tptp.tc_nat)))) % 1.44/1.78 (assume @p46 (forall @t94 (or @t101 @t95))) % 1.44/1.78 (assume @p47 (forall @t94 (or @t88 @t95))) % 1.44/1.78 (assume @p48 (forall @t94 (or @t84 @t95))) % 1.44/1.78 (assume @p49 (forall @t85 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t6)) @t87 @t80 @t73))) % 1.44/1.78 (assume @p50 (forall @t91 (or @t88 @t73 @t87 @t80))) % 1.44/1.78 (assume @p51 (forall @t123 (or @t122 @t111 @t121))) % 1.44/1.78 (assume @p52 (forall (@list @t40 @t4 @t2) (or (tptp.hBOOL (tptp.hAPP @t124 @t2)) @t122 @t121 @t111))) % 1.44/1.78 (assume @p53 (forall (@list @t71 @t28) (or (tptp.c_HOL_Oord__class_Oless @t71 @t28 tptp.tc_nat) @t125 @t73))) % 1.44/1.78 (assume @p54 (forall @t85 (or @t88 @t87 @t80 @t73))) % 1.44/1.78 (assume @p55 (forall @t85 (or @t88 @t87 @t73 @t80))) % 1.44/1.78 (assume @p56 (forall @t91 (or @t88 @t73 @t80 @t87))) % 1.44/1.78 (assume @p57 (forall @t129 (or @t128 @t127 (not (tptp.c_HOL_Oord__class_Oless @t55 @t28 @t6))))) % 1.44/1.78 (assume @p58 (forall @t129 (or @t128 @t127 (not (tptp.c_HOL_Oord__class_Oless @t56 @t28 @t6))))) % 1.44/1.78 (assume @p59 (forall (@list @t28 @t71) (or (tptp.c_lessequals @t28 @t71 tptp.tc_nat) (not @t125)))) % 1.44/1.78 (assume @p60 (forall @t97 (or @t130 @t112))) % 1.44/1.78 (assume @p61 (forall @t91 (or @t101 @t86 @t81))) % 1.44/1.78 (assume @p62 (forall @t91 (or @t84 @t86 @t81))) % 1.44/1.78 (assume @p63 (forall @t134 (or @t133 @t59 (not @t132)))) % 1.44/1.78 (assume @p64 (forall @t134 (or @t133 @t132 @t60))) % 1.44/1.78 (assume @p65 (forall @t138 (or @t67 @t137 @t112))) % 1.44/1.78 (assume @p66 (forall @t138 (or @t67 @t111 (not @t137)))) % 1.44/1.78 (assume @p67 (forall (@list @t6 @t139 @t141) (or @t88 @t145 (not @t144) (not @t143)))) % 1.44/1.78 (assume @p68 (forall (@list @t6 @t141 @t139) (or @t88 @t145 @t143 @t144))) % 1.44/1.78 (assume @p69 (forall @t151 (or @t111 (not @t150) @t147 @t146))) % 1.44/1.78 (assume @p70 (forall @t152 (or @t150 @t112 @t147 @t146))) % 1.44/1.78 (assume @p71 (forall @t97 (or @t154 @t111))) % 1.44/1.78 (assume @p72 (forall @t102 (or @t101 @t100 @t155 @t89))) % 1.44/1.78 (assume @p73 (forall @t102 (or @t101 @t100 @t99 @t83))) % 1.44/1.78 (assume @p74 (forall @t105 (or @t84 @t104 @t103 @t90))) % 1.44/1.78 (assume @p75 (forall @t105 (or @t84 @t104 @t156 @t81))) % 1.44/1.78 (assume @p76 (forall (@list @t40 @t56 @t55) (or (tptp.hBOOL (tptp.hAPP @t40 @t1)) @t57 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_HOL_Ominus__class_Ominus @t56 @t55 tptp.tc_nat))))))) % 1.44/1.78 (assume @p77 (forall @t97 (or @t111 (not @t158)))) % 1.44/1.78 (assume @p78 (forall @t123 (or @t158 @t112))) % 1.44/1.78 (assume @p79 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t153 @t2 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) @t63))) % 1.44/1.78 (assume @p80 (forall @t165 (or @t133 @t164 @t161 @t81))) % 1.44/1.78 (assume @p81 (forall @t165 (or @t133 @t164 @t80 (not @t161)))) % 1.44/1.78 (assume @p82 (forall @t169 (or @t101 @t168 @t167 @t166))) % 1.44/1.78 (assume @p83 (forall @t169 (or @t101 @t168 @t166 @t167))) % 1.44/1.78 (assume @p84 (forall @t97 (or @t111 @t121 @t170))) % 1.44/1.78 (assume @p85 (forall @t97 (or @t121 @t111 @t170))) % 1.44/1.78 (assume @p86 (forall @t91 (or @t101 @t73 @t80 @t90))) % 1.44/1.78 (assume @p87 (forall @t91 (or @t101 @t80 @t73 @t90))) % 1.44/1.78 (assume @p88 (forall @t134 (or @t101 @t59 @t167 @t172))) % 1.44/1.78 (assume @p89 (forall @t134 (or @t101 @t59 @t172 @t167))) % 1.44/1.78 (assume @p90 (forall @t91 (or @t88 @t73 @t90 @t80))) % 1.44/1.78 (assume @p91 (forall @t91 (or @t88 @t73 @t80 @t90))) % 1.44/1.78 (assume @p92 (forall @t134 (or @t101 @t60 @t173))) % 1.44/1.78 (assume @p93 (forall @t91 (or @t88 @t81 @t89))) % 1.44/1.78 (assume @p94 (forall @t85 (or @t84 @t89 @t81))) % 1.44/1.78 (assume @p95 (forall @t169 (or @t84 @t173 @t60))) % 1.44/1.78 (assume @p96 (forall @t175 (or @t67 @t174 @t63))) % 1.44/1.78 (assume @p97 (forall @t175 (or @t67 @t54 (not @t174)))) % 1.44/1.78 (assume @p98 (forall @t68 (or @t67 (not (= @t65 @t64)) @t167 @t63 @t117 @t62))) % 1.44/1.78 (assume @p99 (forall @t176 (or @t67 (not (tptp.c_HOL_Oord__class_Oless @t136 @t61 @t6))))) % 1.44/1.78 (assume @p100 (forall @t177 (or @t67 (tptp.c_HOL_Oord__class_Oless @t61 @t65 @t6) (not (tptp.c_HOL_Oord__class_Oless @t61 @t56 @t6))))) % 1.44/1.78 (assume @p101 (forall (@list @t28 @t178) (or @t119 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t28)) @t178) @t28) @t178)))) % 1.44/1.78 (assume @p102 (forall (@list @t26 @t178 @t118) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t179) @t178) @t118) @t179) (= @t26 @t118) (tptp.c_HOL_Oord__class_Oless @t118 @t26 tptp.tc_nat)))) % 1.44/1.78 (assume @p103 (forall (@list @t33 @t181 @t26) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t180) @t181) @t26) @t180) (not (tptp.c_HOL_Oord__class_Oless @t33 @t26 tptp.tc_nat))))) % 1.44/1.78 (assume @p104 (forall (@list @t4 @t8 @t6 @t26) (or (= (tptp.c_List_Onth @t48 @t26 @t6) @t44) @t182))) % 1.44/1.78 (assume @p105 (forall (@list @t4 @t28 @t6 @t26) (or (= (tptp.c_List_Onth @t183 @t26 @t6) @t28) @t182))) % 1.44/1.78 (assume @p106 (forall (@list @t26 @t118) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t179) @t118) @t179) (not (tptp.c_HOL_Oord__class_Oless @t26 @t118 tptp.tc_nat))))) % 1.44/1.78 (assume @p107 (forall @t184 (or @t12 @t108))) % 1.44/1.78 (assume @p108 (forall (@list @t8 @t4 @t6) (or (tptp.c_in @t18 @t106 @t6) @t17))) % 1.44/1.78 (assume @p109 (forall (@list @t39 @t8 @t6) (or (not (tptp.c_HOL_Oord__class_Oless @t39 @t11 tptp.tc_nat)) (tptp.c_in (tptp.c_List_Onth @t8 @t39 @t6) @t106 @t6)))) % 1.44/1.78 (assume @p110 (forall @t188 (or (tptp.c_HOL_Oord__class_Oless @t187 @t11 tptp.tc_nat) @t185 @t108))) % 1.44/1.78 (assume @p111 (forall (@list @t28 @t8 @t4 @t6) (or (tptp.c_in @t28 (tptp.c_List_Oset @t30 @t6) @t6) @t17))) % 1.44/1.78 (assume @p112 (forall @t22 (or (= @t21 (tptp.c_List_Onth @t19 @t189 @t6)) @t16))) % 1.44/1.78 (assume @p113 (forall @t32 (or (= @t31 (tptp.c_List_Oappend @t8 (tptp.c_List_Olist__update @t19 @t189 @t28 @t6) @t6)) @t16))) % 1.44/1.78 (assume @p114 (forall (@list @t2 @t8 @t19 @t26 @t71 @t24 @t6) (or (= (tptp.c_Map_Omap__upds @t2 @t8 (tptp.c_List_Olist__update @t19 @t26 @t71 @t24) @t6 @t24) @t193) (not (tptp.c_HOL_Oord__class_Oless @t26 @t192 tptp.tc_nat)) @t190))) % 1.44/1.78 (assume @p115 (forall @t199 (or @t88 @t198 @t197 @t196 @t195))) % 1.44/1.78 (assume @p116 (forall @t199 (or @t88 @t198 @t196 @t197 @t195))) % 1.44/1.78 (assume @p117 (forall @t97 (tptp.c_lessequals @t96 @t2 tptp.tc_nat))) % 1.44/1.78 (assume @p118 (forall @t204 (or @t203 (= @t202 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t201 @t200 @t6) @t58 @t6))))) % 1.44/1.78 (assume @p119 (forall (@list @t205 @t207 @t178) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t205 @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t178 @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t206))) % 1.44/1.78 (assume @p120 (forall @t211 (or @t128 @t210 @t209))) % 1.44/1.78 (assume @p121 (forall (@list @t6 @t28 @t55 @t56) (or @t128 @t212 @t209))) % 1.44/1.78 (assume @p122 (forall @t129 (or @t128 @t213 (not (tptp.c_lessequals @t56 @t28 @t6))))) % 1.44/1.78 (assume @p123 (forall @t129 (or @t128 @t213 (not (tptp.c_lessequals @t55 @t28 @t6))))) % 1.44/1.78 (assume @p124 (forall @t217 (or @t128 @t86 @t216))) % 1.44/1.78 (assume @p125 (forall @t105 (or @t128 @t218 @t216))) % 1.44/1.78 (assume @p126 (forall (@list @t4 @t26) (or (= (tptp.c_HOL_Ominus__class_Ominus @t4 (tptp.c_HOL_Ominus__class_Ominus @t4 @t26 tptp.tc_nat) tptp.tc_nat) @t26) (not (tptp.c_lessequals @t26 @t4 tptp.tc_nat))))) % 1.44/1.78 (assume @p127 (forall (@list @t23 @t56 @t8 @t19 @t24 @t6) (= (tptp.c_List_Ofoldl @t23 @t56 @t219 @t6 @t24) (tptp.c_List_Ofoldl @t23 (tptp.c_List_Ofoldl @t23 @t56 @t8 @t6 @t24) @t19 @t6 @t24)))) % 1.44/1.78 (assume @p128 (forall @t94 (or @t223 @t222 @t221))) % 1.44/1.78 (assume @p129 (forall @t225 (or @t224 (= (tptp.c_HOL_Ominus__class_Ominus @t56 @t56 @t6) @t61)))) % 1.44/1.78 (assume @p130 (forall @t225 (or @t224 (= (tptp.c_HOL_Ominus__class_Ominus @t56 @t61 @t6) @t56)))) % 1.44/1.78 (assume @p131 (forall @t94 (or @t224 @t221))) % 1.44/1.78 (assume @p132 (forall @t94 (or @t226 @t221))) % 1.44/1.78 (assume @p133 (forall @t225 (or @t227 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t56 @t6) @t61)))) % 1.44/1.78 (assume @p134 (forall @t225 (or @t227 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t61 @t6) @t56)))) % 1.44/1.78 (assume @p135 (forall @t225 (or @t227 (= (tptp.c_Divides_Odiv__class_Omod @t61 @t56 @t6) @t61)))) % 1.44/1.78 (assume @p136 (forall @t91 (or @t223 @t222 (not (= @t163 @t61)) @t73))) % 1.44/1.78 (assume @p137 (forall @t134 (or @t224 @t228 @t167))) % 1.44/1.78 (assume @p138 (forall @t134 (or @t226 @t228 @t167))) % 1.44/1.78 (assume @p139 (forall @t231 (or (not @t230) @t229))) % 1.44/1.78 (assume @p140 (forall @t231 (or (not @t229) @t230))) % 1.44/1.78 (assume @p141 (tptp.c_lessequals @t1 @t1 tptp.tc_nat)) % 1.44/1.78 (assume @p142 (forall @t123 (or (not (= @t157 @t1)) @t233 @t121))) % 1.44/1.78 (assume @p143 (forall @t5 (or @t53 (not (tptp.c_lessequals @t4 @t1 tptp.tc_nat))))) % 1.44/1.78 (assume @p144 (forall @t3 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t1 tptp.tc_nat) @t2))) % 1.44/1.78 (assume @p145 (forall @t3 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 tptp.tc_nat) @t1))) % 1.44/1.78 (assume @p146 (forall @t5 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t4 tptp.tc_nat) @t1))) % 1.44/1.78 (assume @p147 (forall @t5 (tptp.c_lessequals @t1 @t4 tptp.tc_nat))) % 1.44/1.78 (assume @p148 (forall (@list @t23 @t56 @t28 @t8 @t24 @t6) (= (tptp.c_List_Ofoldl @t23 @t56 @t234 @t6 @t24) (tptp.c_List_Ofoldl @t23 (tptp.hAPP (tptp.hAPP @t23 @t56) @t28) @t8 @t6 @t24)))) % 1.44/1.78 (assume @p149 (forall (@list @t23 @t56 @t24 @t6) (= (tptp.c_List_Ofoldl @t23 @t56 @t235 @t6 @t24) @t56))) % 1.44/1.78 (assume @p150 (forall @t238 (or @t237 (tptp.c_in @t28 (tptp.c_List_Oset @t39 @t6) @t6)))) % 1.44/1.78 (assume @p151 (forall @t238 (or @t237 (tptp.c_in @t28 (tptp.c_List_Oset @t236 @t6) @t6)))) % 1.44/1.78 (assume @p152 (forall @t238 @t237)) % 1.44/1.78 (assume @p153 (forall @t188 (or (not (= @t186 @t7)) @t239 @t108))) % 1.44/1.78 (assume @p154 (forall (@list @t40 @t8 @t19 @t6 @t28) (or (= (tptp.c_List_OtakeWhile @t40 @t20 @t6) @t41) @t185 @t108))) % 1.44/1.78 (assume @p155 (forall @t50 (or (not @t241) @t240))) % 1.44/1.78 (assume @p156 (forall @t50 (or @t241 @t242))) % 1.44/1.78 (assume @p157 (forall @t254 (or @t253 @t248 @t247))) % 1.44/1.78 (assume @p158 (forall @t255 (= (tptp.c_List_Otake @t4 @t20 @t6) (tptp.c_List_Oappend @t48 (tptp.c_List_Otake @t189 @t19 @t6) @t6)))) % 1.44/1.78 (assume @p159 (forall @t254 (or @t253 @t257 @t256))) % 1.44/1.78 (assume @p160 (forall (@list @t4 @t207 @t205 @t258) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t260 @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t259 @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 1.44/1.78 (assume @p161 (forall (@list @t178 @t262 @t4 @t258) (not (= @t264 @t261)))) % 1.44/1.78 (assume @p162 (forall @t254 (or @t253 (= @t251 @t265) @t256))) % 1.44/1.78 (assume @p163 (forall @t254 (or @t253 (= @t267 @t249) @t247))) % 1.44/1.78 (assume @p164 (forall @t255 (= (tptp.c_List_Odrop @t4 @t20 @t6) (tptp.c_List_Oappend @t52 (tptp.c_List_Odrop @t189 @t19 @t6) @t6)))) % 1.44/1.78 (assume @p165 (forall @t271 (or (= @t270 @t268) @t108))) % 1.44/1.78 (assume @p166 (forall @t271 (or (= @t270 (tptp.c_List_Olist_OCons @t28 @t268 @t6)) @t107))) % 1.44/1.78 (assume @p167 (forall @t275 (or @t274 (not (tptp.c_in @t28 (tptp.c_List_Oset @t272 @t6) @t6))))) % 1.44/1.78 (assume @p168 (forall @t275 (or @t274 @t276))) % 1.44/1.78 (assume @p169 (forall @t271 (or (= (tptp.c_Nat_Osize__class_Osize @t277 @t10) @t11) @t107))) % 1.44/1.78 (assume @p170 (forall @t275 (or (= @t278 (tptp.c_List_Oappend @t277 @t19 @t6)) @t108))) % 1.44/1.78 (assume @p171 (forall @t275 (or (= @t278 (tptp.c_List_Oappend @t8 (tptp.c_List_Oremove1 @t28 @t19 @t6) @t6)) @t107))) % 1.44/1.78 (assume @p172 (forall (@list @t279 @t6) (or (tptp.c_in (tptp.c_List_Olast @t279 @t6) (tptp.c_List_Oset @t279 @t6) @t6) (= @t279 @t7)))) % 1.44/1.78 (assume @p173 (forall @t50 (or (not (= @t281 @t1)) (= @t280 @t8)))) % 1.44/1.78 (assume @p174 (forall @t286 (or @t285 @t283))) % 1.44/1.78 (assume @p175 (forall @t288 (= @t259 @t287))) % 1.44/1.78 (assume @p176 (forall @t290 (or @t289 @t283))) % 1.44/1.78 (assume @p177 (forall @t288 (= @t287 @t259))) % 1.44/1.78 (assume @p178 (forall @t294 (or @t293 @t292 (not (tptp.hBOOL (tptp.hAPP @t40 @t291)))))) % 1.44/1.78 (assume @p179 (forall @t3 (= @t295 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t295 @t282 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.44/1.78 (assume @p180 (forall @t297 (or @t296 @t283))) % 1.44/1.78 (assume @p181 (forall @t271 (or (= (tptp.c_List_Olength__unique @t269 @t6) @t298) @t108))) % 1.44/1.78 (assume @p182 (forall (@list @t24 @t23 @t56 @t8 @t6) (or @t302 (= (tptp.c_List_Olinorder__class_Oinsort__key @t23 @t56 @t301 @t6 @t24) @t8) (not (tptp.c_Fun_Oinj__on @t23 @t106 @t6 @t24)) (not (tptp.c_List_Olinorder__class_Osorted @t25 @t24)) @t300))) % 1.44/1.78 (assume @p183 (forall (@list @t262 @t207 @t181 @t26) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t304) @t181) @t26) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t303 @t181) @t26) (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t181 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t26 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.44/1.78 (assume @p184 (forall (@list @t6 @t8 @t33 @t26) (or @t88 (tptp.c_lessequals @t35 @t44 @t6) @t196 @t197 (not (tptp.c_List_Olinorder__class_Osorted @t305 @t6))))) % 1.44/1.78 (assume @p185 (forall (@list @t26 @t33 @t118) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t26 @t33 tptp.tc_nat) @t118 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t26 @t118 tptp.tc_nat) @t33 tptp.tc_nat)))) % 1.44/1.78 (assume @p186 (forall @t152 (or (= (tptp.c_HOL_Ominus__class_Ominus @t149 @t148 tptp.tc_nat) @t153) @t147 @t146))) % 1.44/1.78 (assume @p187 (forall @t97 (tptp.c_lessequals @t153 @t2 tptp.tc_nat))) % 1.44/1.78 (assume @p188 (forall @t91 (or @t128 (= @t306 @t71) @t83))) % 1.44/1.78 (assume @p189 (forall @t91 (or @t128 (not @t307) @t86))) % 1.44/1.78 (assume @p190 (forall @t91 (or @t128 @t307 @t90))) % 1.44/1.78 (assume @p191 (forall @t152 (or (not (= @t149 @t148)) @t147 @t146 @t121))) % 1.44/1.78 (assume @p192 (forall (@list @t6 @t28 @t160 @t159) (or @t226 (not (= @t220 @t162)) (= @t160 @t159)))) % 1.44/1.78 (assume @p193 (forall (@list @t6 @t39 @t71 @t28) (or @t226 (not (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t71 @t6) @t220)) (= @t39 @t71)))) % 1.44/1.78 (assume @p194 (forall @t151 (or @t130 (not @t308) @t147 @t146))) % 1.44/1.78 (assume @p195 (forall @t152 (or @t308 @t170 @t147 @t146))) % 1.44/1.78 (assume @p196 (forall (@list @t2 @t113 @t4) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t2 @t113 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t4 @t113 tptp.tc_nat) tptp.tc_nat) @t170))) % 1.44/1.78 (assume @p197 (forall @t116 (or (tptp.c_lessequals @t115 @t114 tptp.tc_nat) @t170))) % 1.44/1.78 (assume @p198 (forall @t204 (or @t203 (= @t202 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t56 @t200 @t6) @t58 @t6))))) % 1.44/1.78 (assume @p199 (forall @t204 (or @t203 (= @t202 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t201 @t55 @t6) @t58 @t6))))) % 1.44/1.78 (assume @p200 (forall @t110 (or (tptp.c_lessequals @t71 @t109 tptp.tc_nat) (not (tptp.c_lessequals @t71 @t76 tptp.tc_nat)) @t108))) % 1.44/1.78 (assume @p201 (forall @t138 (or @t67 @t309 @t170))) % 1.44/1.78 (assume @p202 (forall @t138 (or @t67 @t130 (not @t309)))) % 1.44/1.78 (assume @p203 (forall @t134 (or @t227 (= (tptp.c_Divides_Odiv__class_Omod @t310 @t55 @t6) @t310)))) % 1.44/1.78 (assume @p204 (forall @t97 (or @t233 @t130))) % 1.44/1.78 (assume @p205 (forall @t97 (or @t232 @t170))) % 1.44/1.78 (assume @p206 (forall @t97 (or @t154 @t312))) % 1.44/1.78 (assume @p207 (forall @t13 (= (tptp.c_List_Oset @t305 @t6) @t106))) % 1.44/1.78 (assume @p208 (forall @t97 (or @t121 @t312 @t170))) % 1.44/1.78 (assume @p209 (forall @t91 (or @t101 @t73 @t83 @t90))) % 1.44/1.78 (assume @p210 (forall @t91 (or @t101 @t73 @t90 @t83))) % 1.44/1.78 (assume @p211 (forall (@list @t6 @t55 @t58 @t313 @t56 @t314) (or @t203 (not (= @t200 (tptp.c_Divides_Odiv__class_Omod @t313 @t58 @t6))) (not (= @t201 (tptp.c_Divides_Odiv__class_Omod @t314 @t58 @t6))) (= @t202 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t314 @t313 @t6) @t58 @t6))))) % 1.44/1.78 (assume @p212 (forall @t134 (or @t133 @t171 (not @t315)))) % 1.44/1.78 (assume @p213 (forall @t134 (or @t133 @t315 @t172))) % 1.44/1.78 (assume @p214 (forall @t50 (= (tptp.c_List_Oset @t280 @t6) @t106))) % 1.44/1.78 (assume @p215 (forall @t91 (or @t317 @t316))) % 1.44/1.78 (assume @p216 (forall @t91 (or @t317 @t318))) % 1.44/1.78 (assume @p217 (forall @t217 (or @t128 @t215 (not @t218) @t90))) % 1.44/1.78 (assume @p218 (forall @t211 (or @t128 @t208 (not @t212) (not @t210)))) % 1.44/1.78 (assume @p219 (forall @t91 (or @t128 @t318))) % 1.44/1.78 (assume @p220 (forall @t91 (or @t128 @t316))) % 1.44/1.78 (assume @p221 (forall @t138 (or (not (tptp.class_Ring__and__Field_Oring__1 @t6)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t153 @t6) (tptp.c_HOL_Ominus__class_Ominus @t136 @t135 @t6)) @t312))) % 1.44/1.78 (assume @p222 (forall @t102 (or @t101 (tptp.c_lessequals @t98 @t28 @t6) @t155 @t83))) % 1.44/1.78 (assume @p223 (forall @t105 (or @t84 @t218 @t156 @t90))) % 1.44/1.78 (assume @p224 (forall @t5 (tptp.c_lessequals @t4 @t4 tptp.tc_nat))) % 1.44/1.78 (assume @p225 (forall (@list @t26 @t118 @t33) (or (tptp.c_lessequals @t26 @t118 tptp.tc_nat) (not (tptp.c_lessequals @t33 @t118 tptp.tc_nat)) @t197))) % 1.44/1.78 (assume @p226 (forall @t120 (tptp.c_lessequals @t28 @t28 tptp.tc_nat))) % 1.44/1.78 (assume @p227 (forall @t94 (or @t101 @t92))) % 1.44/1.78 (assume @p228 (forall @t94 (or @t84 @t92))) % 1.44/1.78 (assume @p229 (forall @t165 (or @t133 @t164 @t319 @t83))) % 1.44/1.78 (assume @p230 (forall @t165 (or @t133 @t164 @t82 (not @t319)))) % 1.44/1.78 (assume @p231 (forall @t13 (= (tptp.c_List_Oset @t268 @t6) @t106))) % 1.44/1.78 (assume @p232 (forall @t123 (or @t311 @t130))) % 1.44/1.78 (assume @p233 (forall @t85 (or @t88 @t82 @t86))) % 1.44/1.78 (assume @p234 (forall (@list @t6 @t28 @t39 @t8) (or @t88 @t321 (not (tptp.c_in @t39 @t106 @t6)) @t320))) % 1.44/1.78 (assume @p235 (forall (@list @t6 @t28 @t39 @t19 @t8) (or @t88 @t321 (not (tptp.c_in @t39 (tptp.c_List_Oset @t19 @t6) @t6)) @t108 @t322))) % 1.44/1.78 (assume @p236 (forall @t50 (= (tptp.c_List_Orotate @t4 @t305 @t6) (tptp.c_List_Orev (tptp.c_List_Orotate (tptp.c_HOL_Ominus__class_Ominus @t11 @t281 tptp.tc_nat) @t8 @t6) @t6)))) % 1.44/1.78 (assume @p237 @t326) % 1.44/1.78 (assume @p238 (forall @t176 (or @t67 (tptp.c_lessequals @t61 @t136 @t6)))) % 1.44/1.78 (assume @p239 (forall @t175 (or @t67 (tptp.c_lessequals @t61 @t135 @t6)))) % 1.44/1.78 (assume @p240 (forall @t68 (or @t67 (tptp.c_lessequals @t65 @t64 @t6) @t62 @t172))) % 1.44/1.78 (assume @p241 (forall @t177 (or @t67 (tptp.c_lessequals @t61 @t65 @t6) @t62))) % 1.44/1.78 (assume @p242 (forall (@list @t23 @t8 @t24 @t6 @t327 @t28) (or (not (= @t328 (tptp.c_List_Omap @t327 @t8 @t24 @t6))) (= @t76 (tptp.hAPP @t327 @t28)) (not (tptp.c_in @t28 (tptp.c_List_Oset @t8 @t24) @t24))))) % 1.44/1.78 (assume @p243 (forall (@list @t28 @t19 @t6) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t329 @t10) (tptp.c_Nat_Osize__class_Osize @t19 @t10) tptp.tc_nat)))) % 1.44/1.78 (assume @p244 (forall @t330 (or @t107 (not (tptp.c_in @t28 (tptp.c_List_Oset @t48 @t6) @t6))))) % 1.44/1.78 (assume @p245 (forall (@list @t205 @t258 @t178) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t205 @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t284) @t331))) % 1.44/1.78 (assume @p246 (forall @t188 (or (not (= @t186 @t8)) @t185 @t108))) % 1.44/1.78 (assume @p247 (forall @t286 (or @t285 (= @t259 @t178)))) % 1.44/1.78 (assume @p248 (forall @t335 (or @t334 @t333))) % 1.44/1.78 (assume @p249 (forall @t335 (or @t334 @t206))) % 1.44/1.78 (assume @p250 (forall @t290 (or @t289 (= @t178 @t259)))) % 1.44/1.78 (assume @p251 (forall @t330 (or @t107 (not (tptp.c_in @t28 (tptp.c_List_Oset @t52 @t6) @t6))))) % 1.44/1.78 (assume @p252 (forall @t337 (or @t185 @t336))) % 1.44/1.78 (assume @p253 (forall (@list @t28 @t8 @t6 @t40) (or @t107 @t336))) % 1.44/1.78 (assume @p254 (forall @t188 (or (not (= @t41 @t8)) @t185 @t108))) % 1.44/1.78 (assume @p255 (forall (@list @t69 @t28 @t8 @t6) (or @t340 @t108 @t339))) % 1.44/1.78 (assume @p256 (forall (@list @t28 @t71 @t4 @t6) (or @t73 (not (tptp.c_in @t28 (tptp.c_List_Oset @t341 @t6) @t6))))) % 1.44/1.78 (assume @p257 (forall @t297 (or @t296 (= @t295 @t178)))) % 1.44/1.78 (assume @p258 (forall @t343 (or @t342 @t333))) % 1.44/1.78 (assume @p259 (forall @t343 (or @t342 @t121))) % 1.44/1.78 (assume @p260 (forall @t50 (or (= @t48 @t8) @t242))) % 1.44/1.78 (assume @p261 (forall @t43 (tptp.c_lessequals @t187 @t11 tptp.tc_nat))) % 1.44/1.78 (assume @p262 (forall @t348 (or @t88 @t86 @t347))) % 1.44/1.78 (assume @p263 (forall @t348 (or @t88 @t346 (not @t349) @t90))) % 1.44/1.78 (assume @p264 (forall @t294 (or @t293 @t292 (tptp.c_in @t291 @t106 @t6)))) % 1.44/1.78 (assume @p265 (forall @t50 (= (tptp.c_Nat_Osize__class_Osize @t52 @t10) (tptp.c_HOL_Ominus__class_Ominus @t11 @t4 tptp.tc_nat)))) % 1.44/1.78 (assume @p266 (forall @t38 (or @t47 @t190))) % 1.44/1.78 (assume @p267 (forall @t43 (tptp.c_lessequals @t42 @t11 tptp.tc_nat))) % 1.44/1.78 (assume @p268 (forall @t271 (or @t107 @t276))) % 1.44/1.78 (assume @p269 (forall (@list @t23 @t8 @t19 @t6 @t24 @t28) (or (= (tptp.hAPP (tptp.c_Map_Omap__upds @t23 @t8 @t19 @t6 @t24) @t28) @t76) @t107))) % 1.44/1.78 (assume @p270 (forall @t350 (or (not (tptp.c_in @t28 (tptp.c_List_Oset (tptp.c_List_Oremove1 @t71 @t8 @t6) @t6) @t6)) @t107))) % 1.44/1.78 (assume @p271 (forall (@list @t56 @t8 @t6 @t55) (or @t299 (not @t351) @t167))) % 1.44/1.78 (assume @p272 (forall (@list @t56 @t55 @t8 @t6) (or @t351 @t300 @t167))) % 1.44/1.78 (assume @p273 (forall (@list @t4 @t2 @t8 @t6) (= (tptp.c_List_Odrop @t4 (tptp.c_List_Otake @t2 @t8 @t6) @t6) (tptp.c_List_Otake @t153 @t52 @t6)))) % 1.44/1.78 (assume @p274 (forall (@list @t28 @t8 @t6 @t352) (or @t107 @t353))) % 1.44/1.78 (assume @p275 (forall (@list @t28 @t8 @t352 @t6) (or @t353 @t107))) % 1.44/1.78 (assume @p276 (forall @t50 (= @t280 (tptp.c_List_Orotate @t281 @t8 @t6)))) % 1.44/1.78 (assume @p277 (forall (@list @t205 @t178 @t262) (or (not (= @t354 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t262 @t282 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t354 @t262)))) % 1.44/1.78 (assume @p278 (forall (@list @t205 @t178) (= @t354 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t354 @t282 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.44/1.78 (assume @p279 (forall @t13 (tptp.c_lessequals @t355 @t11 tptp.tc_nat))) % 1.44/1.78 (assume @p280 (forall (@list @t26 @t118 @t28 @t6) (= (tptp.c_List_Odrop @t26 @t356 @t6) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t118 @t26 tptp.tc_nat) @t28 @t6)))) % 1.44/1.78 (assume @p281 (forall @t360 (or @t302 (= @t359 (tptp.c_List_Olist_OCons @t28 @t358 @t6)) (not @t357)))) % 1.44/1.78 (assume @p282 (forall @t360 (or @t302 (= @t359 (tptp.c_List_Olist_OCons @t71 (tptp.c_List_Olinorder__class_Oinsort__key @t23 @t28 @t19 @t6 @t24) @t6)) @t357))) % 1.44/1.78 (assume @p283 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xconcat__Xinduct__1 @t40) @t363 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p284 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xtake__Xinduct__1 @t40) @t367 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p285 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xmap__Xinduct__1 @t40) @t368 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p286 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinduct__1 @t40) @t369 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p287 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XdropWhile__Xinduct__1 @t40) @t370 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p288 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistset__Xinduct__1 @t40) @t371 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p289 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremove1__Xinduct__1 @t40) @t372 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p290 (forall @t366 (or @t365 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdistinct__Xinduct__1 @t40) @t373 tptp.t_a)))) @t362))) % 1.44/1.78 (assume @p291 (forall @t294 (or @t293 (not (= (tptp.hAPP @t23 @t291) (tptp.c_HOL_Ozero__class_Ozero @t24))) @t292))) % 1.44/1.78 (assume @p292 (forall (@list @t243 @t6 @t245 @t251) (or @t374 @t247 (= @t252 (tptp.c_List_Oappend @t243 @t267 @t6))))) % 1.44/1.78 (assume @p293 (forall (@list @t245 @t6 @t243 @t249) (or @t376 @t375 @t256))) % 1.44/1.78 (assume @p294 (forall @t378 (or @t338 (tptp.c_in @t377 @t106 @t6)))) % 1.44/1.78 (assume @p295 (forall @t46 (= (tptp.c_List_Orev (tptp.c_List_Otake @t26 @t8 @t6) @t6) (tptp.c_List_Odrop @t379 @t305 @t6)))) % 1.44/1.78 (assume @p296 (forall @t46 (= (tptp.c_List_Orev (tptp.c_List_Odrop @t26 @t8 @t6) @t6) (tptp.c_List_Otake @t379 @t305 @t6)))) % 1.44/1.78 (assume @p297 (forall (@list @t4 @t332) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t260 @t332 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t332 tptp.tc_Lambda_OdB))))) % 1.44/1.78 (assume @p298 (forall @t286 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t259) @t178) @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t178))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t380 @t178) @t1) @t258 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 1.44/1.78 (assume @p299 (forall (@list @t262 @t207 @t26) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t304) @t26) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t382 (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t26 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.44/1.78 (assume @p300 (forall @t50 (= @t280 (tptp.c_List_Oappend (tptp.c_List_Odrop @t281 @t8 @t6) (tptp.c_List_Otake @t281 @t8 @t6) @t6)))) % 1.44/1.78 (assume @p301 (forall @t50 (= @t384 @t383))) % 1.44/1.78 (assume @p302 (forall @t385 (or (= (tptp.c_List_Olast @t183 @t6) @t28) @t53))) % 1.44/1.78 (assume @p303 (forall (@list @t181 @t178 @t262) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t387 @t178) (tptp.hAPP @t387 @t262)) @t386))) % 1.44/1.78 (assume @p304 (forall (@list @t178 @t181 @t262) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t390 @t181) @t389) @t386))) % 1.44/1.78 (assume @p305 (forall @t13 (= (tptp.c_List_Obutlast @t391 @t6) @t49))) % 1.44/1.78 (assume @p306 (forall @t13 (= @t355 @t298))) % 1.44/1.78 (assume @p307 (forall @t38 (= (tptp.c_Nat_Osize__class_Osize @t29 @t10) @t11))) % 1.44/1.78 (assume @p308 (forall (@list @t6 @t23 @t8 @t24 @t28) (or @t88 @t393 (not @t392)))) % 1.44/1.78 (assume @p309 (forall (@list @t6 @t23 @t28 @t8 @t24) (or @t88 @t392 (not @t393)))) % 1.44/1.78 (assume @p310 (forall (@list @t23 @t8 @t118 @t71 @t24 @t6) (= (tptp.c_List_Omap @t23 (tptp.c_List_Olist__update @t8 @t118 @t71 @t24) @t24 @t6) (tptp.c_List_Olist__update @t328 @t118 @t75 @t6)))) % 1.44/1.78 (assume @p311 (forall @t395 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t388 @t179))) @t394))) % 1.44/1.78 (assume @p312 (forall (@list @t397 @t28 @t69 @t6) (or @t401 @t400))) % 1.44/1.78 (assume @p313 (forall (@list @t69 @t28 @t397 @t6) (or @t340 @t400))) % 1.44/1.78 (assume @p314 (forall @t402 (or (tptp.c_Lambda_Obeta @t263 (tptp.c_Lambda_OdB_OAbs @t262)) @t386))) % 1.44/1.78 (assume @p315 (forall @t404 (= (tptp.c_List_Orev @t20 @t6) (tptp.c_List_Oappend @t403 @t305 @t6)))) % 1.44/1.78 (assume @p316 (forall (@list @t408 @t407 @t405) (not (= @t409 @t406)))) % 1.44/1.78 (assume @p317 (forall (@list @t40 @t8 @t19 @t6) (= (tptp.c_List_Ofilter @t40 @t20 @t6) (tptp.c_List_Oappend @t186 @t410 @t6)))) % 1.44/1.78 (assume @p318 (forall @t177 (or @t416 @t415 @t414 @t413 @t412 @t411))) % 1.44/1.78 (assume @p319 (forall @t177 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t6)) @t412 @t411))) % 1.44/1.78 (assume @p320 (forall @t13 (= (tptp.c_List_Odrop @t1 @t8 @t6) @t8))) % 1.44/1.78 (assume @p321 (forall (@list @t28 @t6 @t71) (= @t417 (tptp.c_List_Oreplicate @t1 @t71 @t6)))) % 1.44/1.78 (assume @p322 (forall @t419 (or @t418 @t73 (= @t2 @t1)))) % 1.44/1.78 (assume @p323 (forall @t422 (or @t421 (= (tptp.c_List_Onth @t269 @t420 @t6) @t28)))) % 1.44/1.78 (assume @p324 (forall @t422 (or @t421 (= (tptp.c_List_Odrop @t420 @t269 @t6) @t269)))) % 1.44/1.78 (assume @p325 (forall (@list @t40 @t424 @t423 @t39 @t236) (or (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_Olist__case @t424 @t423 (tptp.c_List_Olist_OCons @t39 @t236 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t40 (tptp.hAPP (tptp.hAPP @t423 @t39) @t236)))))) % 1.44/1.78 (assume @p326 (forall (@list @t40 @t424 @t423 @t56 @t364) (or (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_Olist__case @t424 @t423 (tptp.c_List_Olist_OCons @t56 @t364 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t40 @t425))))) % 1.44/1.78 (assume @p327 (forall @t337 (or (= @t426 @t186) @t185))) % 1.44/1.78 (assume @p328 (forall @t428 (= (tptp.c_List_Olist_Olist__rec @t424 @t423 @t427 @t6 @t24) (tptp.hAPP @t425 (tptp.c_List_Olist_Olist__rec @t424 @t423 @t364 @t6 @t24))))) % 1.44/1.78 (assume @p329 (forall (@list @t28 @t8 @t6 @t71 @t19) (= (tptp.c_List_Osplice @t269 @t358 @t6) (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Olist_OCons @t71 (tptp.c_List_Osplice @t8 @t19 @t6) @t6) @t6)))) % 1.44/1.78 (assume @p330 (forall @t350 (or (= (tptp.c_List_Oremove1 @t28 @t429 @t6) (tptp.c_List_Olist_OCons @t71 @t277 @t6)) @t73))) % 1.44/1.78 (assume @p331 (forall (@list @t205 @t28 @t8 @t6 @t71 @t19) (or (tptp.c_List_Olistrelp @t205 @t269 @t358 @t6) (not (tptp.c_List_Olistrelp @t205 @t8 @t19 @t6)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t205 @t28) @t71)))))) % 1.44/1.78 (assume @p332 (forall (@list @t40 @t19 @t6 @t28 @t8) (or (not (= @t410 @t269)) @t185))) % 1.44/1.78 (assume @p333 (forall @t337 (or (= @t426 (tptp.c_List_Olist_OCons @t28 @t186 @t6)) @t239))) % 1.44/1.78 (assume @p334 (forall (@list @t28 @t8 @t6 @t40 @t19) (or (not (= @t269 @t410)) @t185))) % 1.44/1.78 (assume @p335 (forall (@list @t6 @t71 @t344 @t28) (or @t88 @t349 @t347))) % 1.44/1.78 (assume @p336 (forall (@list @t28 @t39 @t6 @t344) (= @t432 @t430))) % 1.44/1.78 (assume @p337 (forall (@list @t28 @t8 @t6 @t19) (= (tptp.c_List_Oappend @t269 @t19 @t6) (tptp.c_List_Olist_OCons @t28 @t20 @t6)))) % 1.44/1.78 (assume @p338 (forall (@list @t23 @t28 @t39 @t24 @t6) (= (tptp.c_List_Omap @t23 (tptp.c_List_Olist_OCons @t28 @t39 @t24) @t24 @t6) (tptp.c_List_Olist_OCons @t76 (tptp.c_List_Omap @t23 @t39 @t24 @t6) @t6)))) % 1.44/1.78 (assume @p339 (forall (@list @t23 @t39 @t236 @t24 @t6) (= (tptp.c_List_Olist_OCons @t79 (tptp.c_List_Omap @t23 @t236 @t24 @t6) @t6) (tptp.c_List_Omap @t23 (tptp.c_List_Olist_OCons @t39 @t236 @t24) @t24 @t6)))) % 1.44/1.78 (assume @p340 (forall (@list @t23 @t28 @t8 @t24 @t6) (= (tptp.c_List_Omap @t23 @t234 @t24 @t6) (tptp.c_List_Olist_OCons @t76 @t328 @t6)))) % 1.44/1.78 (assume @p341 (forall @t428 (= (tptp.c_List_Olist_Olist__case @t424 @t423 @t427 @t6 @t24) @t425))) % 1.44/1.78 (assume @p342 (forall @t271 (= (tptp.c_List_Oremove1 @t28 @t269 @t6) @t8))) % 1.44/1.78 (assume @p343 (forall (@list @t28 @t39 @t344 @t6) (= @t430 @t432))) % 1.44/1.78 (assume @p344 (forall (@list @t28 @t433 @t344 @t6) (= (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t433 @t344 @t6) @t6) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t28 @t433 @t6) @t344 @t6)))) % 1.44/1.78 (assume @p345 (forall (@list @t6 @t8 @t28) (or @t88 @t194 @t320))) % 1.44/1.78 (assume @p346 (forall @t337 (or (= @t434 (tptp.c_List_Olist_OCons @t28 @t41 @t6)) @t239))) % 1.44/1.78 (assume @p347 (forall @t437 (= (tptp.c_List_Olast @t436 @t6) @t28))) % 1.44/1.78 (assume @p348 (forall @t437 (= (tptp.c_List_Obutlast @t436 @t6) @t8))) % 1.44/1.78 (assume @p349 (forall @t271 (= (tptp.c_List_Orev @t269 @t6) (tptp.c_List_Oappend @t305 @t435 @t6)))) % 1.44/1.78 (assume @p350 (forall (@list @t8 @t6 @t71 @t19) (or (not (= @t305 @t358)) (= @t8 @t439)))) % 1.44/1.78 (assume @p351 (forall (@list @t19 @t6 @t71) (= (tptp.c_List_Orev @t439 @t6) @t358))) % 1.44/1.78 (assume @p352 (forall (@list @t26 @t28 @t6) (= (tptp.c_List_Oappend @t440 @t435 @t6) (tptp.c_List_Olist_OCons @t28 @t440 @t6)))) % 1.44/1.78 (assume @p353 (forall @t15 (= @t441 @t7))) % 1.44/1.78 (assume @p354 (forall @t443 (or (not (= @t328 @t7)) @t442))) % 1.44/1.78 (assume @p355 (forall @t15 (= @t7 @t444))) % 1.44/1.78 (assume @p356 (forall @t15 (= (tptp.c_List_Obutlast @t7 @t6) @t7))) % 1.44/1.78 (assume @p357 (forall @t445 (= (tptp.c_List_OtakeWhile @t40 @t7 @t6) @t7))) % 1.44/1.78 (assume @p358 (forall @t15 (= @t7 @t446))) % 1.44/1.78 (assume @p359 (forall @t447 (or (not (= @t19 @t20)) @t9))) % 1.44/1.78 (assume @p360 (forall @t404 (or (not (= @t20 @t19)) @t9))) % 1.44/1.78 (assume @p361 (forall @t404 (or (not (= @t8 @t20)) @t448))) % 1.44/1.78 (assume @p362 (forall @t404 (or (not (= @t20 @t8)) @t448))) % 1.44/1.78 (assume @p363 (forall @t451 (or (not (= @t450 @t7)) @t449))) % 1.44/1.78 (assume @p364 (forall @t13 (= (tptp.c_List_Osplice @t8 @t7 @t6) @t8))) % 1.44/1.78 (assume @p365 (forall @t452 (= (tptp.c_List_Osplice @t7 @t19 @t6) @t19))) % 1.44/1.78 (assume @p366 (forall @t50 (or (not (= @t280 @t7)) @t9))) % 1.44/1.78 (assume @p367 (forall @t453 (or (not (= @t7 @t305)) @t9))) % 1.44/1.78 (assume @p368 (forall @t404 (or @t454 @t448))) % 1.44/1.78 (assume @p369 (forall @t404 (or @t454 @t9))) % 1.44/1.78 (assume @p370 (forall @t456 (or @t455 @t448))) % 1.44/1.78 (assume @p371 (forall @t456 (or @t455 @t9))) % 1.44/1.78 (assume @p372 (forall @t15 (= @t446 @t7))) % 1.44/1.78 (assume @p373 (forall @t457 (= (tptp.c_List_Odrop @t4 @t7 @t6) @t7))) % 1.44/1.78 (assume @p374 (forall (@list @t6 @t23 @t8 @t24) (or (not (= @t7 @t328)) @t442))) % 1.44/1.78 (assume @p375 (forall @t459 (= @t19 @t458))) % 1.44/1.78 (assume @p376 (forall @t452 (= @t458 @t19))) % 1.44/1.78 (assume @p377 (forall @t13 (= @t8 @t391))) % 1.44/1.78 (assume @p378 (forall @t451 (= @t28 (tptp.c_List_Oappend @t7 @t28 @t6)))) % 1.44/1.78 (assume @p379 (forall @t13 (= @t391 @t8))) % 1.44/1.78 (assume @p380 (forall @t457 (= (tptp.c_List_Otake @t4 @t7 @t6) @t7))) % 1.44/1.78 (assume @p381 (forall (@list @t40 @t424 @t423) (or (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_Olist__case @t424 @t423 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t40 @t424))))) % 1.44/1.78 (assume @p382 (forall @t461 (= @t460 @t7))) % 1.44/1.78 (assume @p383 (forall @t50 (= (tptp.c_List_Oappend @t48 @t52 @t6) @t8))) % 1.44/1.78 (assume @p384 (forall (@list @t6 @t40 @t8) (or @t88 (tptp.c_List_Olinorder__class_Osorted @t41 @t6) @t195))) % 1.44/1.78 (assume @p385 (forall @t447 (= @t19 (tptp.c_List_Odrop @t11 @t20 @t6)))) % 1.44/1.78 (assume @p386 (forall @t91 (or @t317 @t462))) % 1.44/1.78 (assume @p387 (forall @t91 (or @t128 @t462))) % 1.44/1.78 (assume @p388 (forall @t463 (= @t398 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t397 @t69 @t396)))) % 1.44/1.78 (assume @p389 (forall (@list @t58 @t69 @t6 @t397) (or @t466 @t465))) % 1.44/1.78 (assume @p390 (forall (@list @t58 @t397 @t6 @t69) (or @t467 @t465))) % 1.44/1.78 (assume @p391 (forall @t50 (= @t383 @t384))) % 1.44/1.78 (assume @p392 (forall @t91 (or (not (tptp.class_Int_Oring__char__0 @t6)) @t222 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t28 @t6) (tptp.c_Int_Onumber__class_Onumber__of @t71 @t6))) @t73))) % 1.44/1.78 (assume @p393 (forall (@list @t40 @t468 @t24 @t470 @t6 @t469) (= (tptp.hAPP (tptp.c_COMBC @t40 @t468 @t24 @t470 @t6) @t469) (tptp.hAPP (tptp.hAPP @t40 @t469) @t468)))) % 1.44/1.78 (assume @p394 (forall (@list @t471 @t28 @t6) (or @t473 (not @t472)))) % 1.44/1.78 (assume @p395 (forall (@list @t28 @t471 @t6) (or @t472 (not @t473)))) % 1.44/1.78 (assume @p396 (forall @t37 (or @t36 @t34))) % 1.44/1.78 (assume @p397 (forall @t43 (= (tptp.c_List_Oremdups @t186 @t6) (tptp.c_List_Ofilter @t40 @t268 @t6)))) % 1.44/1.78 (assume @p398 (forall @t474 (= (tptp.c_List_Otake @t4 @t328 @t6) (tptp.c_List_Omap @t23 (tptp.c_List_Otake @t4 @t8 @t24) @t24 @t6)))) % 1.44/1.78 (assume @p399 (forall @t475 (or @t88 (tptp.c_List_Olinorder__class_Osorted @t52 @t6) @t195))) % 1.44/1.78 (assume @p400 (forall (@list @t205 @t262 @t26 @t178) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t380 @t262) @t26) (tptp.hAPP @t476 @t26)) @t331))) % 1.44/1.78 (assume @p401 (forall @t443 (= (tptp.c_List_Orev @t328 @t6) (tptp.c_List_Omap @t23 (tptp.c_List_Orev @t8 @t24) @t24 @t6)))) % 1.44/1.78 (assume @p402 (forall @t419 (or @t418 @t121))) % 1.44/1.78 (assume @p403 (forall (@list @t19 @t8 @t6 @t344) (or (not (= (tptp.c_List_Oappend @t19 @t8 @t6) (tptp.c_List_Oappend @t344 @t8 @t6))) @t477))) % 1.44/1.78 (assume @p404 (forall @t479 (or (not (= @t20 @t478)) @t477))) % 1.44/1.78 (assume @p405 (forall @t475 (or @t88 (tptp.c_List_Olinorder__class_Osorted @t48 @t6) @t195))) % 1.44/1.78 (assume @p406 (forall (@list @t8 @t28 @t19 @t6) (= (tptp.c_List_Onth @t480 @t11 @t6) @t28))) % 1.44/1.78 (assume @p407 (forall @t43 (= @t41 (tptp.c_List_Otake @t42 @t8 @t6)))) % 1.44/1.78 (assume @p408 (forall @t474 (= (tptp.c_List_Orotate @t4 @t328 @t6) (tptp.c_List_Omap @t23 (tptp.c_List_Orotate @t4 @t8 @t24) @t24 @t6)))) % 1.44/1.78 (assume @p409 (forall @t13 (= @t8 @t481))) % 1.44/1.78 (assume @p410 (forall @t459 (= (tptp.c_List_Orev @t403 @t6) @t19))) % 1.44/1.78 (assume @p411 (forall @t13 (= @t481 @t8))) % 1.44/1.78 (assume @p412 (forall @t13 (or (not @t483) @t482))) % 1.44/1.78 (assume @p413 (forall @t13 (or (not @t482) @t483))) % 1.44/1.78 (assume @p414 (forall @t13 (or (= (tptp.c_List_Oappend @t49 (tptp.c_List_Olist_OCons @t51 @t7 @t6) @t6) @t8) @t9))) % 1.44/1.78 (assume @p415 (forall @t484 (= @t8 (tptp.c_List_Otake @t11 @t20 @t6)))) % 1.44/1.78 (assume @p416 (forall @t443 (= (tptp.c_Nat_Osize__class_Osize @t328 @t10) @t485))) % 1.44/1.78 (assume @p417 (forall (@list @t23 @t4 @t28 @t24 @t6) (= (tptp.c_List_Omap @t23 (tptp.c_List_Oreplicate @t4 @t28 @t24) @t24 @t6) (tptp.c_List_Oreplicate @t4 @t76 @t6)))) % 1.44/1.78 (assume @p418 (forall @t385 (= (tptp.c_List_Orev @t183 @t6) @t183))) % 1.44/1.78 (assume @p419 (forall @t138 (or (not (tptp.class_Nat_Osemiring__char__0 @t6)) (not (= @t136 @t135)) @t121))) % 1.44/1.78 (assume @p420 (forall (@list @t405 @t486) (not (= @t406 @t487)))) % 1.44/1.78 (assume @p421 (forall @t489 (or (= @t488 @t183) @t239))) % 1.44/1.78 (assume @p422 (forall @t217 (or @t317 @t491))) % 1.44/1.78 (assume @p423 (forall @t217 (or @t317 @t492))) % 1.44/1.78 (assume @p424 (forall @t217 (or @t128 @t492))) % 1.44/1.78 (assume @p425 (forall @t217 (or @t128 @t491))) % 1.44/1.78 (assume @p426 (forall (@list @t69 @t397 @t6 @t493) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t398 @t493 @t396) @t494))) % 1.44/1.78 (assume @p427 (forall (@list @t69 @t397 @t493 @t6) (= @t494 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t397 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 @t493 @t396) @t396)))) % 1.44/1.78 (assume @p428 (forall (@list @t495 @t486) (or (not (= (tptp.c_Lambda_OdB_OAbs @t495) @t487)) (= @t495 @t486)))) % 1.44/1.78 (assume @p429 (forall (@list @t23 @t8 @t24 @t6 @t19) (or (not (= @t328 @t496)) (= @t485 @t192)))) % 1.44/1.78 (assume @p430 (forall @t498 (or @t497 (= (tptp.c_Map_Omap__upds @t2 @t478 @t19 @t6 @t24) @t193)))) % 1.44/1.78 (assume @p431 (forall @t498 (or @t497 (= (tptp.c_Map_Omap__upds @t2 @t8 (tptp.c_List_Oappend @t19 @t344 @t24) @t6 @t24) @t193)))) % 1.44/1.78 (assume @p432 (forall (@list @t8 @t6 @t344) (or (not (= @t8 (tptp.c_List_Otake @t11 @t344 @t6))) (= (tptp.c_List_Oappend @t8 (tptp.c_List_Odrop @t11 @t344 @t6) @t6) @t344)))) % 1.44/1.78 (assume @p433 (forall (@list @t405 @t408 @t407) (not (= @t406 @t409)))) % 1.44/1.78 (assume @p434 (forall @t50 (= (tptp.c_Nat_Osize__class_Osize @t280 @t10) @t11))) % 1.44/1.78 (assume @p435 (forall (@list @t40 @t8 @t28 @t113 @t6) (or (= (tptp.c_List_OtakeWhile @t40 (tptp.c_List_Oappend @t8 (tptp.c_List_Olist_OCons @t28 @t113 @t6) @t6) @t6) @t41) @t185))) % 1.44/1.78 (assume @p436 (forall @t404 (or (= (tptp.c_List_Olast @t20 @t6) (tptp.c_List_Olast @t19 @t6)) @t448))) % 1.44/1.78 (assume @p437 (forall @t402 (tptp.c_Lambda_Obeta @t264 (tptp.hAPP @t476 @t1)))) % 1.44/1.78 (assume @p438 (forall (@list @t23 @t8 @t19 @t24 @t6) (= (tptp.c_List_Omap @t23 @t219 @t24 @t6) (tptp.c_List_Oappend @t328 @t496 @t6)))) % 1.44/1.78 (assume @p439 (forall (@list @t4 @t28 @t6 @t118) (= (tptp.c_List_Oappend @t183 @t356 @t6) (tptp.c_List_Oappend @t356 @t183 @t6)))) % 1.44/1.78 (assume @p440 (forall @t503 (or @t502 (= @t499 @t407)))) % 1.44/1.78 (assume @p441 (forall @t503 (or @t502 (= @t500 @t408)))) % 1.44/1.78 (assume @p442 (forall (@list @t26 @t262) (not (tptp.c_Lambda_Obeta @t179 @t262)))) % 1.44/1.78 (assume @p443 (forall (@list @t28 @t40 @t8 @t6) (or (= (tptp.c_List_Oremove1 @t28 @t186 @t6) @t186) @t185))) % 1.44/1.78 (assume @p444 (forall @t489 (or (= @t488 @t7) @t185))) % 1.44/1.78 (assume @p445 (forall @t484 (or (not (= @t305 @t403)) @t504))) % 1.44/1.78 (assume @p446 (forall @t13 (= (tptp.c_List_Olast @t391 @t6) @t51))) % 1.44/1.78 (assume @p447 (forall @t453 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t6)) (= (tptp.c_List_Olistsum @t305 @t6) (tptp.c_List_Olistsum @t8 @t6))))) % 1.44/1.78 (assume @p448 (forall @t385 (= (tptp.c_Nat_Osize__class_Osize @t183 @t10) @t4))) % 1.44/1.78 (assume @p449 (forall (@list @t8 @t26 @t6) @t45)) % 1.44/1.78 (assume @p450 (forall @t91 (or @t317 @t505))) % 1.44/1.78 (assume @p451 (forall @t91 (or @t128 @t505))) % 1.44/1.78 (assume @p452 (forall @t463 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 @t398 @t396) @t398))) % 1.44/1.78 (assume @p453 (forall (@list @t205 @t26 @t33) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t380 @t179) @t33))) @t506))) % 1.44/1.78 (assume @p454 (forall (@list @t8 @t28 @t19 @t6 @t71) (= (tptp.c_List_Olist__update @t480 @t11 @t71 @t6) (tptp.c_List_Oappend @t8 @t358 @t6)))) % 1.44/1.78 (assume @p455 (forall @t94 (or @t128 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t28 @t6) @t28)))) % 1.44/1.78 (assume @p456 (forall @t507 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 @t69 @t396) @t69))) % 1.44/1.78 (assume @p457 (forall (@list @t4 @t8 @t6 @t71 @t19) (or (not (= @t52 @t358)) (= @t18 @t71)))) % 1.44/1.78 (assume @p458 (forall (@list @t243 @t6 @t245 @t249) (or (not (= (tptp.c_List_Oappend @t266 @t265 @t6) @t249)) @t374 @t376 @t375))) % 1.44/1.78 (assume @p459 (forall (@list @t118 @t181) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t118)) @t181) @t118) @t181))) % 1.44/1.78 (assume @p460 (forall @t456 (or @t88 @t194 @t322))) % 1.44/1.78 (assume @p461 (forall (@list @t6 @t19 @t8) (or @t88 (tptp.c_List_Olinorder__class_Osorted @t19 @t6) @t322))) % 1.44/1.78 (assume @p462 (forall (@list @t486 @t500 @t499) (not (= @t487 @t501)))) % 1.44/1.78 (assume @p463 (forall (@list @t8 @t26 @t28 @t6 @t508 @t160) (or (= (tptp.c_List_Olist__update @t29 @t508 @t160 @t6) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t8 @t508 @t160 @t6) @t26 @t28 @t6)) (= @t26 @t508)))) % 1.44/1.78 (assume @p464 (forall (@list @t6 @t113) (or @t88 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremdups @t113 @t6) @t6) (not (tptp.c_List_Olinorder__class_Osorted @t113 @t6))))) % 1.44/1.78 (assume @p465 (forall (@list @t405 @t509) (or (not (= @t406 (tptp.c_Lambda_OdB_OVar @t509))) (= @t405 @t509)))) % 1.44/1.78 (assume @p466 (forall (@list @t500 @t499 @t486) (not (= @t501 @t487)))) % 1.44/1.78 (assume @p467 (forall (@list @t486 @t405) (not (= @t487 @t406)))) % 1.44/1.78 (assume @p468 (forall (@list @t4 @t28 @t6 @t8) (= (tptp.c_List_Oappend @t183 @t269 @t6) (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t183 @t8 @t6) @t6)))) % 1.44/1.78 (assume @p469 (forall @t474 (= (tptp.c_List_Odrop @t4 @t328 @t6) (tptp.c_List_Omap @t23 (tptp.c_List_Odrop @t4 @t8 @t24) @t24 @t6)))) % 1.44/1.78 (assume @p470 (forall @t13 (= (tptp.c_Nat_Osize__class_Osize @t305 @t10) @t11))) % 1.44/1.78 (assume @p471 (forall (@list @t262 @t181 @t178 @t118) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t389) @t178) @t118) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t303 @t178) @t118)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t181) @t178) @t118))))) % 1.44/1.78 (assume @p472 (forall (@list @t58 @t69 @t397 @t6) (or @t464 (not @t467) (not @t466)))) % 1.44/1.78 (assume @p473 (forall (@list @t69 @t397 @t6 @t28) (or @t399 (not @t401) (not @t340)))) % 1.44/1.78 (assume @p474 (forall @t404 (or (= @t273 (tptp.c_List_Oappend @t8 @t272 @t6)) @t448))) % 1.44/1.78 (assume @p475 (forall @t43 (= (tptp.c_List_Orev @t186 @t6) (tptp.c_List_Ofilter @t40 @t305 @t6)))) % 1.44/1.78 (assume @p476 (forall (@list @t8 @t26 @t28 @t6 @t71) (= (tptp.c_List_Olist__update @t29 @t26 @t71 @t6) (tptp.c_List_Olist__update @t8 @t26 @t71 @t6)))) % 1.44/1.78 (assume @p477 (forall @t479 (= (tptp.c_List_Oappend @t20 @t344 @t6) (tptp.c_List_Oappend @t8 (tptp.c_List_Oappend @t19 @t344 @t6) @t6)))) % 1.44/1.78 (assume @p478 (forall (@list @t8 @t433 @t510 @t6) (= (tptp.c_List_Oappend @t8 (tptp.c_List_Oappend @t433 @t510 @t6) @t6) (tptp.c_List_Oappend (tptp.c_List_Oappend @t8 @t433 @t6) @t510 @t6)))) % 1.44/1.78 (assume @p479 (forall (@list @t344 @t28 @t6 @t19) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t344 @t28 @t6) @t19 @t6) (tptp.c_List_Oappend @t344 (tptp.c_List_Oappend @t28 @t19 @t6) @t6)))) % 1.44/1.78 (assume @p480 (forall (@list @t8 @t28 @t207 @t6) (= (tptp.c_List_Oappend @t8 (tptp.c_List_Oappend @t28 @t207 @t6) @t6) (tptp.c_List_Oappend (tptp.c_List_Oappend @t8 @t28 @t6) @t207 @t6)))) % 1.44/1.78 (assume @p481 (forall (@list @t6 @t56 @t8) (or @t88 (tptp.c_List_Olinorder__class_Osorted @t301 @t6) @t195))) % 1.44/1.78 (assume @p482 (forall (@list @t6 @t69) (= (tptp.c_List_Osublist @t7 @t69 @t6) @t7))) % 1.44/1.78 (assume @p483 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t371)) @t362))) % 1.44/1.78 (assume @p484 (forall @t511 (= (tptp.c_List_Olist_Olist__rec @t424 @t423 @t235 @t6 @t24) @t424))) % 1.44/1.78 (assume @p485 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t370)) @t362))) % 1.44/1.78 (assume @p486 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t367)) @t362))) % 1.44/1.78 (assume @p487 (forall @t15 (or @t88 (tptp.c_List_Olinorder__class_Osorted @t7 @t6)))) % 1.44/1.78 (assume @p488 (forall @t461 (= (tptp.c_List_Ofiltermap @t23 @t235 @t24 @t6) @t7))) % 1.44/1.78 (assume @p489 (forall @t94 (or (not (= @t7 @t450)) @t449))) % 1.44/1.78 (assume @p490 (forall @t445 (= (tptp.c_List_Ofilter @t40 @t7 @t6) @t7))) % 1.44/1.78 (assume @p491 (forall (@list @t6 @t118 @t28) (= (tptp.c_List_Olist__update @t7 @t118 @t28 @t6) @t7))) % 1.44/1.78 (assume @p492 (forall (@list @t6 @t26 @t71) (= (tptp.c_List_Olist__update @t7 @t26 @t71 @t6) @t7))) % 1.44/1.78 (assume @p493 (forall (@list @t6 @t26 @t141) (= (tptp.c_List_Olist__update @t7 @t26 @t141 @t6) @t7))) % 1.44/1.78 (assume @p494 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t363)) @t362))) % 1.44/1.78 (assume @p495 (forall @t451 (= (tptp.c_List_Oremove1 @t28 @t7 @t6) @t7))) % 1.44/1.78 (assume @p496 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t373)) @t362))) % 1.44/1.78 (assume @p497 (forall (@list @t2 @t279 @t24 @t6) (= (tptp.c_Map_Omap__upds @t2 @t279 @t235 @t6 @t24) @t2))) % 1.44/1.78 (assume @p498 (forall (@list @t2 @t6 @t512 @t24) (= (tptp.c_Map_Omap__upds @t2 @t7 @t512 @t6 @t24) @t2))) % 1.44/1.78 (assume @p499 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t372)) @t362))) % 1.44/1.78 (assume @p500 (forall @t511 (= (tptp.c_List_Olist_Olist__case @t424 @t423 @t235 @t6 @t24) @t424))) % 1.44/1.78 (assume @p501 (forall @t13 (or (not (= @t305 @t7)) @t9))) % 1.44/1.78 (assume @p502 (forall @t457 (= (tptp.c_List_Orotate @t4 @t7 @t6) @t7))) % 1.44/1.78 (assume @p503 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t369)) @t362))) % 1.44/1.78 (assume @p504 (forall (@list @t6 @t23 @t24) (= @t7 @t460))) % 1.44/1.78 (assume @p505 (forall @t15 (= @t7 @t441))) % 1.44/1.78 (assume @p506 (forall (@list @t205 @t6) (tptp.c_List_Olistrelp @t205 @t7 @t7 @t6))) % 1.44/1.78 (assume @p507 (forall @t366 (or @t365 (tptp.hBOOL (tptp.hAPP @t40 @t368)) @t362))) % 1.44/1.78 (assume @p508 (forall @t15 (= @t444 @t7))) % 1.44/1.78 (assume @p509 (forall (@list @t8 @t118 @t28 @t6) (or (not (= (tptp.c_List_Olist__update @t8 @t118 @t28 @t6) @t7)) @t9))) % 1.44/1.78 (assume @p510 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_s____))) % 1.44/1.78 (assume @p511 (forall @t5 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t260)))) % 1.44/1.78 (assume @p512 (forall @t288 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t259)) @t506))) % 1.44/1.78 (assume @p513 (forall (@list @t69 @t8 @t19 @t6) (or @t514 (not @t513) @t339))) % 1.44/1.78 (assume @p514 (forall @t378 (or @t338 (not (tptp.hBOOL (tptp.hAPP @t69 @t377)))))) % 1.44/1.78 (assume @p515 (forall (@list @t69 @t397 @t6 @t113) (or (tptp.c_List_Olistsp @t398 @t113 @t6) (not (tptp.c_List_Olistsp @t397 @t113 @t6)) (not (tptp.c_List_Olistsp @t69 @t113 @t6))))) % 1.44/1.78 (assume @p516 (forall (@list @t69 @t19 @t6 @t8) (or @t513 @t515))) % 1.44/1.78 (assume @p517 (forall (@list @t69 @t8 @t6 @t19) (or @t338 @t515))) % 1.44/1.78 (assume @p518 (forall (@list @t178 @t262 @t118) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t390 @t262)) @t118) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t517 @t118)) @t516)))) % 1.44/1.78 (assume @p519 (forall (@list @t262 @t118 @t178) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t516) @t178) @t118) @t262))) % 1.44/1.78 (assume @p520 (forall (@list @t205 @t26 @t178) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t205) @t26) (tptp.hAPP @t517 @t26)) @t331))) % 1.44/1.78 (assume @p521 (forall @t520 (or (= @t519 @t435) (not @t518)))) % 1.44/1.78 (assume @p522 (forall @t422 (or @t421 (= (tptp.c_List_Otake @t420 @t269 @t6) @t7)))) % 1.44/1.78 (assume @p523 (forall @t520 (or (= @t519 @t7) @t518))) % 1.44/1.78 (assume @p524 (forall (@list @t56 @t69) (or (= @t56 (tptp.c_List_Olist_OCons @t524 @t523 tptp.t_a)) @t522 @t521))) % 1.44/1.78 (assume @p525 (forall @t528 (or @t185 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons @t527 @t526 tptp.t_a)))) @t362 @t525))) % 1.44/1.78 (assume @p526 (forall @t528 (or @t185 (not (tptp.hBOOL (tptp.hAPP @t40 (tptp.c_List_Olist_OCons @t530 @t529 tptp.t_a)))) @t362 @t525))) % 1.44/1.78 (assume @p527 (forall @t175 (or @t416 @t415 @t414 @t413 @t531 @t53))) % 1.44/1.78 (assume @p528 (forall @t175 (or (not (tptp.class_Ring__and__Field_Osemiring__0 @t6)) @t413 @t531 @t53))) % 1.44/1.78 (assume @p529 (forall @t225 (or @t416 @t415 @t414 @t413 (not (= (tptp.c_Power_Opower__class_Opower @t56 @t1 @t6) @t61))))) % 1.44/1.78 (assume @p530 (forall @t15 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t6)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t6) @t61)))) % 1.44/1.78 (assume @p531 (forall @t15 (or (not (tptp.class_OrderedGroup_Omonoid__add @t6)) (= (tptp.c_List_Olistsum @t7 @t6) @t61)))) % 1.44/1.78 (assume @p532 (forall @t271 (= (tptp.c_List_Onth @t269 @t1 @t6) @t28))) % 1.44/1.78 (assume @p533 (forall @t271 (= (tptp.c_List_Odrop @t1 @t269 @t6) @t269))) % 1.44/1.78 (assume @p534 (forall (@list @t28 @t8 @t6 @t71) (= (tptp.c_List_Olist__update @t269 @t1 @t71 @t6) @t429))) % 1.44/1.78 (assume @p535 (forall (@list @t532 @t6) (= (tptp.c_List_Olist_Olist__size @t532 @t7 @t6) @t1))) % 1.44/1.78 (assume @p536 (forall (@list @t23 @t6) (= (tptp.c_List_Olist_Olist__size @t23 @t7 @t6) @t1))) % 1.44/1.78 (assume @p537 (forall @t13 (or (not (= @t11 @t1)) @t9))) % 1.44/1.78 (assume @p538 (forall (@list @t6 @t4 @t28) (or (not (= @t7 @t183)) @t53))) % 1.44/1.78 (assume @p539 (forall @t385 (or (not (= @t183 @t7)) @t53))) % 1.44/1.78 (assume @p540 (forall @t13 (= (tptp.c_List_Otake @t1 @t8 @t6) @t7))) % 1.44/1.78 (assume @p541 (forall @t94 (= @t7 @t417))) % 1.44/1.78 (assume @p542 (forall @t15 (= @t14 @t1))) % 1.44/1.78 (assume @p543 (forall @t50 (or (not (= @t48 @t7)) @t9 @t53))) % 1.44/1.78 (assume @p544 (forall @t15 (= (tptp.c_List_Olength__unique @t7 @t6) @t1))) % 1.44/1.78 (assume @p545 (forall @t451 (= @t417 @t7))) % 1.44/1.78 (assume @p546 (forall @t534 (or @t533 @t73))) % 1.44/1.78 (assume @p547 (forall @t534 (or @t533 @t504))) % 1.44/1.78 (assume @p548 (forall (@list @t6 @t28 @t8) (= @t535 @t269))) % 1.44/1.78 (assume @p549 (forall (@list @t24 @t23 @t28 @t6) (or @t302 (= (tptp.c_List_Olinorder__class_Oinsort__key @t23 @t28 @t7 @t6 @t24) @t435)))) % 1.44/1.78 (assume @p550 (forall @t271 (or (= (tptp.c_List_Obutlast @t269 @t6) (tptp.c_List_Olist_OCons @t28 @t49 @t6)) @t9))) % 1.44/1.78 (assume @p551 (forall @t451 (= (tptp.c_List_Olast @t435 @t6) @t28))) % 1.44/1.78 (assume @p552 (forall @t451 (= (tptp.c_List_Obutlast @t435 @t6) @t7))) % 1.44/1.78 (assume @p553 (forall @t271 (= (tptp.c_List_Osplice @t269 @t7 @t6) @t269))) % 1.44/1.78 (assume @p554 (forall @t184 (or (not (= @t305 @t435)) @t536))) % 1.44/1.78 (assume @p555 (forall @t337 (or (= @t434 @t7) @t185))) % 1.44/1.78 (assume @p556 (forall (@list @t28 @t6 @t8) (or (not (= @t435 @t305)) @t536))) % 1.44/1.78 (assume @p557 (forall @t451 (= @t537 @t435))) % 1.44/1.78 (assume @p558 (forall @t271 (or (= (tptp.c_List_Olast @t269 @t6) @t51) @t9))) % 1.44/1.78 (assume @p559 (forall @t271 (= @t269 @t535))) % 1.44/1.78 (assume @p560 (forall @t451 (= @t435 @t537))) % 1.44/1.78 (assume @p561 (forall @t94 (or @t88 (tptp.c_List_Olinorder__class_Osorted @t435 @t6)))) % 1.44/1.78 (assume @p562 (forall @t528 (or @t185 (tptp.hBOOL (tptp.hAPP @t69 @t530)) @t362 @t525))) % 1.44/1.78 (assume @p563 (forall @t528 (or @t185 (tptp.hBOOL (tptp.hAPP @t40 @t529)) @t362 @t525))) % 1.44/1.78 (assume @p564 (forall @t528 (or @t185 (tptp.hBOOL (tptp.hAPP @t69 @t527)) @t362 @t525))) % 1.44/1.78 (assume @p565 (forall @t528 (or @t185 (tptp.hBOOL (tptp.hAPP @t40 @t526)) @t362 @t525))) % 1.44/1.78 (assume @p566 (forall @t538 (or (tptp.c_List_Olistsp @t69 @t523 tptp.t_a) @t522 @t521))) % 1.44/1.78 (assume @p567 (forall @t538 (or (tptp.hBOOL (tptp.hAPP @t69 @t524)) @t522 @t521))) % 1.44/1.78 (assume @p568 (forall @t528 (or @t185 (tptp.c_List_Olistsp @t69 @t529 tptp.t_a) @t362 @t525))) % 1.44/1.78 (assume @p569 (forall @t528 (or @t185 (tptp.c_List_Olistsp @t69 @t526 tptp.t_a) @t362 @t525))) % 1.44/1.78 (assume @p570 (forall (@list @t207) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t1 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t207 tptp.tc_Lambda_OdB))))) % 1.44/1.78 (assume @p571 (forall @t271 (= (tptp.c_List_Otake @t1 @t269 @t6) @t7))) % 1.44/1.78 (assume @p572 (forall @t542 (or @t541 (= @t364 @t539)))) % 1.44/1.78 (assume @p573 (forall @t542 (or @t541 (= @t56 @t314)))) % 1.44/1.78 (assume @p574 (forall (@list @t6 @t314 @t539) (not (= @t7 @t540)))) % 1.44/1.78 (assume @p575 (forall @t395 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t382)) @t394))) % 1.44/1.78 (assume @p576 (forall @t507 (tptp.c_List_Olistsp @t69 @t7 @t6))) % 1.44/1.78 (assume @p577 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ta____))) % 1.44/1.78 (assume @p578 (forall (@list @t28 @t39 @t6) (not (= @t431 @t7)))) % 1.44/1.78 (assume @p579 (forall (@list @t314 @t539 @t6) (not (= @t540 @t7)))) % 1.44/1.78 (assume @p580 (forall (@list @t28 @t262 @t6) (not (= (tptp.c_List_Olist_OCons @t28 @t262 @t6) @t262)))) % 1.44/1.78 (assume @p581 (forall @t437 (not (= @t8 @t269)))) % 1.44/1.78 (assume @p582 @t545) % 1.44/1.78 (assume @p583 (not @t547)) % 1.44/1.78 (assume @p584 (forall @t552 (or (tptp.class_Lattices_Olower__semilattice @t551) @t549))) % 1.44/1.78 (assume @p585 (forall @t552 (or (tptp.class_Orderings_Opreorder @t551) (not (tptp.class_Orderings_Opreorder @t548))))) % 1.44/1.78 (assume @p586 (forall @t552 (or (tptp.class_Lattices_Olattice @t551) @t549))) % 1.44/1.78 (assume @p587 (forall @t552 (or (tptp.class_Orderings_Oorder @t551) (not (tptp.class_Orderings_Oorder @t548))))) % 1.44/1.78 (assume @p588 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.44/1.78 (assume @p589 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.44/1.78 (assume @p590 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.44/1.78 (assume @p591 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.44/1.78 (assume @p592 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 1.44/1.78 (assume @p593 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.44/1.78 (assume @p594 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.44/1.78 (assume @p595 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.44/1.78 (assume @p596 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.44/1.78 (assume @p597 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 1.44/1.78 (assume @p598 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.44/1.78 (assume @p599 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.44/1.78 (assume @p600 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.44/1.78 (assume @p601 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.44/1.78 (assume @p602 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.44/1.78 (assume @p603 (tptp.class_Power_Opower tptp.tc_nat)) % 1.44/1.78 (assume @p604 (tptp.class_Int_Onumber tptp.tc_nat)) % 1.44/1.78 (assume @p605 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.44/1.78 (assume @p606 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.44/1.78 (assume @p607 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.44/1.78 (assume @p608 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.44/1.78 (assume @p609 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p610 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p611 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p612 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p613 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p614 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p615 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p616 (tptp.class_Lattices_Olower__semilattice tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p617 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p618 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p619 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p620 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p621 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p622 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p623 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p624 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p625 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p626 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p627 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p628 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p629 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p630 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p631 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p632 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p633 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p634 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p635 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.44/1.78 (assume @p636 (forall @t451 (tptp.c_fequal @t28 @t28 @t6))) % 1.44/1.78 (assume @p637 (forall (@list @t554 @t553 @t6) (or (= @t554 @t553) (not (tptp.c_fequal @t554 @t553 @t6))))) % 1.44/1.78 (step @p638 :rule evaluate :args ((= true false))) % 1.44/1.78 (step @p639 :rule instantiate :premises (@p514) :args (@t555)) % 1.44/1.78 (step @p640 :rule cnf_or_pos :args (@t558)) % 1.44/1.78 (step @p641 :rule reordering :premises (@p640) :args ((or @t547 @t557 (not @t558)))) % 1.44/1.78 (step @p642 :rule chain_m_resolution :premises (@p641 @p583 @p639) :args (@t557 @t559 (@list @t547 @t558))) % 1.44/1.78 (step @p643 :rule false_intro :premises (@p642)) % 1.44/1.78 (step @p644 :rule refl :args (@t323)) % 1.44/1.78 (step @p645 :rule eq-symm :args (@t71 @t28)) % 1.44/1.78 (step @p646 :rule refl :args (@t324)) % 1.44/1.78 (step @p647 :rule nary_cong :premises (@p646 @p645 @p644) :args (@t325)) % 1.44/1.78 (step @p648 :rule cong :premises (@p647) :args (@t326)) % 1.44/1.78 (step @p649 :rule eq_resolve :premises (@p237 @p648)) % 1.44/1.78 (step @p650 :rule instantiate :premises (@p649) :args ((@list @t556 @t282 tptp.tc_Lambda_OdB @t543))) % 1.44/1.78 (step @p651 :rule instantiate :premises (@p107) :args ((@list @t282 tptp.tc_Lambda_OdB @t556))) % 1.44/1.78 (step @p652 :rule instantiate :premises (@p4) :args ((@list tptp.tc_Lambda_OdB))) % 1.44/1.78 (step @p653 :rule cnf_or_pos :args (@t563)) % 1.44/1.78 (step @p654 :rule reordering :premises (@p653) :args ((or @t562 @t561 (not @t563)))) % 1.44/1.78 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p651) :args (@t561 @t559 (@list @t562 @t563))) % 1.44/1.78 (step @p656 :rule instantiate :premises (@p294) :args (@t555)) % 1.44/1.78 (step @p657 :rule cnf_or_pos :args (@t565)) % 1.44/1.78 (step @p658 :rule reordering :premises (@p657) :args ((or @t547 @t564 (not @t565)))) % 1.44/1.78 (step @p659 :rule chain_m_resolution :premises (@p658 @p583 @p656) :args (@t564 @t559 (@list @t547 @t565))) % 1.44/1.78 (step @p660 :rule cnf_or_pos :args (@t568)) % 1.44/1.78 (step @p661 :rule reordering :premises (@p660) :args ((or @t566 @t560 @t567 (not @t568)))) % 1.44/1.78 (step @p662 :rule chain_m_resolution :premises (@p661 @p659 @p655 @p650) :args (@t567 (@list false true false) (@list @t564 @t560 @t568))) % 1.44/1.78 (step @p663 :rule refl :args (tptp.c_InductTermi_OIT)) % 1.44/1.78 (step @p664 :rule cong :premises (@p663 @p662) :args (@t544)) % 1.44/1.78 (step @p665 :rule cong :premises (@p664) :args (@t545)) % 1.44/1.78 (step @p666 :rule true_intro :premises (@p582)) % 1.44/1.78 (step @p667 :rule symm :premises (@p666)) % 1.44/1.78 (step @p668 :rule trans :premises (@p667 @p665 @p643)) % 1.44/1.78 (step @p669 false :rule eq_resolve :premises (@p668 @p638)) % 1.44/1.78 ) % 1.44/1.79 % SZS output end Proof % 1.44/1.79 % cvc5 exiting %------------------------------------------------------------------------------