%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL770-1 : 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 : n004.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 11:23:48 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.97s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL770-1 : 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 % 0.11/0.38 % Computer : n004.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 5 19:12:29 UTC 2026 % 0.11/0.38 % CPUTime : % 0.29/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.97 % SZS status Unsatisfiable % 0.36/0.97 % SZS output start Proof % 0.36/1.04 ( % 0.36/1.04 (declare-sort $$unsorted 0) % 0.36/1.04 (declare-const tptp.v_i $$unsorted) % 0.36/1.04 (declare-const tptp.v_rs $$unsorted) % 0.36/1.04 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__4 (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__5 (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__6 (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__3 (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__1 (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.36/1.04 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.36/1.04 (declare-const tptp.t_a $$unsorted) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.tc_nat $$unsorted) % 0.36/1.04 (declare-const tptp.tc_bool $$unsorted) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.36/1.04 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__2 (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.36/1.04 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.36/1.04 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.36/1.04 (define @t1 () (@var "V_c" $$unsorted)) % 0.36/1.04 (define @t2 () (@var "V_b" $$unsorted)) % 0.36/1.04 (define @t3 () (@var "T_a" $$unsorted)) % 0.36/1.04 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t3)) % 0.36/1.04 (define @t5 () (tptp.hAPP @t4 @t2)) % 0.36/1.04 (define @t6 () (tptp.hAPP @t5 @t1)) % 0.36/1.04 (define @t7 () (@var "V_a" $$unsorted)) % 0.36/1.04 (define @t8 () (tptp.hAPP @t4 @t7)) % 0.36/1.04 (define @t9 () (tptp.hAPP @t8 @t6)) % 0.36/1.04 (define @t10 () (tptp.hAPP @t8 @t2)) % 0.36/1.04 (define @t11 () (tptp.hAPP @t4 @t10)) % 0.36/1.04 (define @t12 () (tptp.hAPP @t11 @t1)) % 0.36/1.04 (define @t13 () (= @t12 @t9)) % 0.36/1.04 (define @t14 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t3))) % 0.36/1.04 (define @t15 () (@list @t3 @t7 @t2 @t1)) % 0.36/1.04 (define @t16 () (tptp.hAPP @t8 @t1)) % 0.36/1.04 (define @t17 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t3))) % 0.36/1.04 (define @t18 () (@var "V_k" $$unsorted)) % 0.36/1.04 (define @t19 () (@var "V_n" $$unsorted)) % 0.36/1.04 (define @t20 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.36/1.04 (define @t21 () (tptp.hAPP @t20 @t19)) % 0.36/1.04 (define @t22 () (tptp.hAPP @t21 @t18)) % 0.36/1.04 (define @t23 () (@var "V_m" $$unsorted)) % 0.36/1.04 (define @t24 () (tptp.hAPP @t20 @t23)) % 0.36/1.04 (define @t25 () (tptp.hAPP @t24 @t19)) % 0.36/1.04 (define @t26 () (@list @t23 @t19 @t18)) % 0.36/1.04 (define @t27 () (@var "V_z" $$unsorted)) % 0.36/1.04 (define @t28 () (@var "V_x" $$unsorted)) % 0.36/1.04 (define @t29 () (tptp.hAPP @t20 @t28)) % 0.36/1.04 (define @t30 () (tptp.hAPP @t29 @t27)) % 0.36/1.04 (define @t31 () (@var "V_y" $$unsorted)) % 0.36/1.04 (define @t32 () (tptp.hAPP @t20 @t31)) % 0.36/1.04 (define @t33 () (tptp.hAPP @t32 @t27)) % 0.36/1.04 (define @t34 () (@list @t28 @t31 @t27)) % 0.36/1.04 (define @t35 () (tptp.hAPP @t4 @t28)) % 0.36/1.04 (define @t36 () (tptp.hAPP @t35 @t27)) % 0.36/1.04 (define @t37 () (tptp.hAPP @t4 @t31)) % 0.36/1.04 (define @t38 () (tptp.hAPP @t37 @t27)) % 0.36/1.04 (define @t39 () (tptp.hAPP @t35 @t38)) % 0.36/1.04 (define @t40 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 0.36/1.04 (define @t41 () (@list @t3 @t28 @t31 @t27)) % 0.36/1.04 (define @t42 () (tptp.hAPP @t35 @t31)) % 0.36/1.04 (define @t43 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t3))) % 0.36/1.04 (define @t44 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t7 @t3)) % 0.36/1.04 (define @t45 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t2 @t3)) % 0.36/1.04 (define @t46 () (@list @t3 @t7 @t2)) % 0.36/1.04 (define @t47 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.36/1.04 (define @t48 () (tptp.hAPP @t20 @t47)) % 0.36/1.04 (define @t49 () (tptp.c_HOL_Ozero__class_Ozero @t3)) % 0.36/1.04 (define @t50 () (tptp.hAPP @t4 @t49)) % 0.36/1.04 (define @t51 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t3))) % 0.36/1.04 (define @t52 () (@list @t3)) % 0.36/1.04 (define @t53 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t23 tptp.tc_nat)) % 0.36/1.04 (define @t54 () (tptp.c_HOL_Otimes__class_Otimes @t23 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t55 () (@list @t23 @t19)) % 0.36/1.04 (define @t56 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t31 @t3)) % 0.36/1.04 (define @t57 () (@list @t3 @t28 @t31)) % 0.36/1.04 (define @t58 () (tptp.tc_List_Olist @t3)) % 0.36/1.04 (define @t59 () (@var "V_xa" $$unsorted)) % 0.36/1.04 (define @t60 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t59 @t58))) % 0.36/1.04 (define @t61 () (tptp.c_List_Olist_OCons @t28 @t59 @t3)) % 0.36/1.04 (define @t62 () (tptp.c_Nat_Osize__class_Osize @t61 @t58)) % 0.36/1.04 (define @t63 () (@list @t28 @t59 @t3)) % 0.36/1.04 (define @t64 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t27 @t3)) % 0.36/1.04 (define @t65 () (tptp.hAPP (tptp.hAPP @t4 @t56) @t64)) % 0.36/1.04 (define @t66 () (not (tptp.class_Int_Onumber__ring @t3))) % 0.36/1.04 (define @t67 () (not (tptp.class_Ring__and__Field_Oidom @t3))) % 0.36/1.04 (define @t68 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t1 @t3)) % 0.36/1.04 (define @t69 () (@var "V_d" $$unsorted)) % 0.36/1.04 (define @t70 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t69 @t3)) % 0.36/1.04 (define @t71 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t1 tptp.tc_nat)) % 0.36/1.04 (define @t72 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t69 tptp.tc_nat)) % 0.36/1.04 (define @t73 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t31 tptp.tc_nat)) % 0.36/1.04 (define @t74 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t27 tptp.tc_nat)) % 0.36/1.04 (define @t75 () (tptp.c_Suc @t47)) % 0.36/1.04 (define @t76 () (tptp.hAPP (tptp.hAPP @t20 @t75) @t47)) % 0.36/1.04 (define @t77 () (@var "V_list" $$unsorted)) % 0.36/1.04 (define @t78 () (tptp.c_List_Olist_OCons @t7 @t77 @t3)) % 0.36/1.04 (define @t79 () (@var "V_xs" $$unsorted)) % 0.36/1.04 (define @t80 () (tptp.c_List_Olist_OCons @t28 @t79 @t3)) % 0.36/1.04 (define @t81 () (@var "V_ys" $$unsorted)) % 0.36/1.04 (define @t82 () (@var "V_r" $$unsorted)) % 0.36/1.04 (define @t83 () (not (tptp.c_ListOrder_Ostep1 @t82 (tptp.c_List_Olist_OCons @t31 @t81 @t3) @t80 @t3))) % 0.36/1.04 (define @t84 () (= @t79 @t81)) % 0.36/1.04 (define @t85 () (= @t28 @t31)) % 0.36/1.04 (define @t86 () (tptp.hAPP @t82 @t31)) % 0.36/1.04 (define @t87 () (tptp.c_Wellfounded_Oaccp @t82 @t7 @t3)) % 0.36/1.04 (define @t88 () (not @t87)) % 0.36/1.04 (define @t89 () (tptp.c_Transitive__Closure_Ortranclp @t82 @t3)) % 0.36/1.04 (define @t90 () (tptp.hAPP @t89 @t2)) % 0.36/1.04 (define @t91 () (not (tptp.hBOOL (tptp.hAPP @t90 @t7)))) % 0.36/1.04 (define @t92 () (tptp.c_Wellfounded_Oaccp @t82 @t2 @t3)) % 0.36/1.04 (define @t93 () (@list @t82 @t2 @t3 @t7)) % 0.36/1.04 (define @t94 () (@var "V_T" $$unsorted)) % 0.36/1.04 (define @t95 () (@var "V_ts" $$unsorted)) % 0.36/1.04 (define @t96 () (@var "V_t" $$unsorted)) % 0.36/1.04 (define @t97 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t96 @t95 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t98 () (@var "V_e" $$unsorted)) % 0.36/1.04 (define @t99 () (tptp.c_Type_Otyping @t98 @t97 @t94)) % 0.36/1.04 (define @t100 () (not @t99)) % 0.36/1.04 (define @t101 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t94 @t98 @t96 @t95)) % 0.36/1.04 (define @t102 () (@list @t98 @t96 @t94 @t95)) % 0.36/1.04 (define @t103 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t96)))) % 0.36/1.04 (define @t104 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t105 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t82))) % 0.36/1.04 (define @t106 () (@list @t82)) % 0.36/1.04 (define @t107 () (tptp.c_Suc @t25)) % 0.36/1.04 (define @t108 () (tptp.c_Suc @t19)) % 0.36/1.04 (define @t109 () (tptp.hAPP @t24 @t108)) % 0.36/1.04 (define @t110 () (tptp.c_Suc @t23)) % 0.36/1.04 (define @t111 () (tptp.hAPP (tptp.hAPP @t20 @t110) @t19)) % 0.36/1.04 (define @t112 () (@var "V_i" $$unsorted)) % 0.36/1.04 (define @t113 () (tptp.hAPP @t20 @t112)) % 0.36/1.04 (define @t114 () (@list @t112 @t23)) % 0.36/1.04 (define @t115 () (tptp.c_HOL_Oord__class_Oless @t28 @t31 tptp.tc_nat)) % 0.36/1.04 (define @t116 () (tptp.c_HOL_Oord__class_Oless @t28 @t33 tptp.tc_nat)) % 0.36/1.04 (define @t117 () (@var "V_j" $$unsorted)) % 0.36/1.04 (define @t118 () (tptp.hAPP @t113 @t117)) % 0.36/1.04 (define @t119 () (tptp.c_HOL_Oord__class_Oless @t112 @t18 tptp.tc_nat)) % 0.36/1.04 (define @t120 () (@list @t112 @t18 @t117)) % 0.36/1.04 (define @t121 () (not (tptp.c_HOL_Oord__class_Oless @t112 @t117 tptp.tc_nat))) % 0.36/1.04 (define @t122 () (tptp.hAPP @t20 @t117)) % 0.36/1.04 (define @t123 () (tptp.hAPP @t4 @t1)) % 0.36/1.04 (define @t124 () (tptp.hAPP @t123 @t7)) % 0.36/1.04 (define @t125 () (tptp.hAPP @t5 @t7)) % 0.36/1.04 (define @t126 () (tptp.c_HOL_Oord__class_Oless @t23 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t127 () (@var "V_l" $$unsorted)) % 0.36/1.04 (define @t128 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t127 tptp.tc_nat))) % 0.36/1.04 (define @t129 () (tptp.hAPP @t20 @t18)) % 0.36/1.04 (define @t130 () (tptp.hAPP @t129 @t19)) % 0.36/1.04 (define @t131 () (= @t23 @t75)) % 0.36/1.04 (define @t132 () (not (= @t54 @t75))) % 0.36/1.04 (define @t133 () (= @t19 @t75)) % 0.36/1.04 (define @t134 () (@var "V_zs" $$unsorted)) % 0.36/1.04 (define @t135 () (@var "T_b" $$unsorted)) % 0.36/1.04 (define @t136 () (@var "V_f" $$unsorted)) % 0.36/1.04 (define @t137 () (tptp.c_List_Oappend @t79 @t81 @t135)) % 0.36/1.04 (define @t138 () (= @t23 @t19)) % 0.36/1.04 (define @t139 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t19 @t3)) % 0.36/1.04 (define @t140 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t23 @t3)) % 0.36/1.04 (define @t141 () (@list @t3 @t23 @t19)) % 0.36/1.04 (define @t142 () (= @t7 @t49)) % 0.36/1.04 (define @t143 () (= @t19 @t47)) % 0.36/1.04 (define @t144 () (= @t18 @t47)) % 0.36/1.04 (define @t145 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t146 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t23 tptp.tc_nat)) % 0.36/1.04 (define @t147 () (not (= @t146 @t145))) % 0.36/1.04 (define @t148 () (@list @t18 @t23 @t19)) % 0.36/1.04 (define @t149 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t18 tptp.tc_nat)) % 0.36/1.04 (define @t150 () (tptp.c_HOL_Otimes__class_Otimes @t23 @t18 tptp.tc_nat)) % 0.36/1.04 (define @t151 () (@list @t23 @t18 @t19)) % 0.36/1.04 (define @t152 () (= @t23 @t47)) % 0.36/1.04 (define @t153 () (not (= @t25 @t47))) % 0.36/1.04 (define @t154 () (tptp.hAPP @t8 @t7)) % 0.36/1.04 (define @t155 () (@list @t3 @t7)) % 0.36/1.04 (define @t156 () (tptp.c_List_Ofoldl @t4 @t7 @t79 @t3 @t3)) % 0.36/1.04 (define @t157 () (= @t2 @t49)) % 0.36/1.04 (define @t158 () (not (= @t45 @t49))) % 0.36/1.04 (define @t159 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t3))) % 0.36/1.04 (define @t160 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t3))) % 0.36/1.04 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t7 @t49 @t3)) % 0.36/1.04 (define @t162 () (not @t161)) % 0.36/1.04 (define @t163 () (tptp.c_HOL_Oord__class_Oless @t154 @t49 @t3)) % 0.36/1.04 (define @t164 () (not @t163)) % 0.36/1.04 (define @t165 () (not (tptp.class_Ring__and__Field_Oordered__idom @t3))) % 0.36/1.04 (define @t166 () (not (= @t75 @t25))) % 0.36/1.04 (define @t167 () (tptp.hAPP @t4 @t16)) % 0.36/1.04 (define @t168 () (tptp.hAPP @t123 @t69)) % 0.36/1.04 (define @t169 () (tptp.hAPP @t8 @t168)) % 0.36/1.04 (define @t170 () (@list @t3 @t7 @t1 @t69)) % 0.36/1.04 (define @t171 () (tptp.c_HOL_Oord__class_Oless @t47 @t25 tptp.tc_nat)) % 0.36/1.04 (define @t172 () (tptp.c_HOL_Oord__class_Oless @t47 @t23 tptp.tc_nat)) % 0.36/1.04 (define @t173 () (tptp.c_HOL_Oord__class_Oless @t47 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t174 () (@list @t19 @t23)) % 0.36/1.04 (define @t175 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t7) @t2)))) % 0.36/1.04 (define @t176 () (tptp.c_Predicate_Oconversep @t82 @t3 @t135)) % 0.36/1.04 (define @t177 () (@var "V_a2" $$unsorted)) % 0.36/1.04 (define @t178 () (@var "V_a1" $$unsorted)) % 0.36/1.04 (define @t179 () (tptp.hAPP @t82 @t2)) % 0.36/1.04 (define @t180 () (tptp.hBOOL (tptp.hAPP @t179 @t7))) % 0.36/1.04 (define @t181 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t176 @t7) @t2))) % 0.36/1.04 (define @t182 () (@var "V_u" $$unsorted)) % 0.36/1.04 (define @t183 () (tptp.c_List_Olist_ONil @t135)) % 0.36/1.04 (define @t184 () (= (tptp.hAPP @t8 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t1 @t3)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t16 @t3))) % 0.36/1.04 (define @t185 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t3))) % 0.36/1.04 (define @t186 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t2 @t3)) % 0.36/1.04 (define @t187 () (= (tptp.hAPP (tptp.hAPP @t4 @t186) @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t6 @t3))) % 0.36/1.04 (define @t188 () (tptp.hAPP @t48 @t75)) % 0.36/1.04 (define @t189 () (tptp.c_HOL_Oord__class_Oless @t47 @t18 tptp.tc_nat)) % 0.36/1.04 (define @t190 () (not @t189)) % 0.36/1.04 (define @t191 () (tptp.c_HOL_Oord__class_Oless @t150 @t149 tptp.tc_nat)) % 0.36/1.04 (define @t192 () (not @t191)) % 0.36/1.04 (define @t193 () (tptp.c_HOL_Oord__class_Oless @t146 @t145 tptp.tc_nat)) % 0.36/1.04 (define @t194 () (not @t193)) % 0.36/1.04 (define @t195 () (tptp.c_List_Olist_OCons @t28 @t79 @t135)) % 0.36/1.04 (define @t196 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t82 @t3 @t3) @t3) @t28) @t31))) % 0.36/1.04 (define @t197 () (tptp.hAPP @t89 @t31)) % 0.36/1.04 (define @t198 () (tptp.hBOOL (tptp.hAPP @t197 @t28))) % 0.36/1.04 (define @t199 () (@list @t82 @t3 @t28 @t31)) % 0.36/1.04 (define @t200 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t3))) % 0.36/1.04 (define @t201 () (tptp.c_HOL_Oord__class_Oless @t47 @t54 tptp.tc_nat)) % 0.36/1.04 (define @t202 () (not @t201)) % 0.36/1.04 (define @t203 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t49 @t3))) % 0.36/1.04 (define @t204 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t3))) % 0.36/1.04 (define @t205 () (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t59 @t134 @t3) @t3)) % 0.36/1.04 (define @t206 () (tptp.c_List_Oappend @t61 @t134 @t3)) % 0.36/1.04 (define @t207 () (tptp.c_List_Oappend @t79 @t81 @t3)) % 0.36/1.04 (define @t208 () (tptp.c_List_Ofoldr @t4 @t79 @t49 @t3 @t3)) % 0.36/1.04 (define @t209 () (not (tptp.class_OrderedGroup_Omonoid__add @t3))) % 0.36/1.04 (define @t210 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t3))) % 0.36/1.04 (define @t211 () (not @t126)) % 0.36/1.04 (define @t212 () (tptp.c_Suc @t18)) % 0.36/1.04 (define @t213 () (tptp.c_HOL_Otimes__class_Otimes @t212 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t214 () (tptp.c_HOL_Otimes__class_Otimes @t212 @t23 tptp.tc_nat)) % 0.36/1.04 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t214 @t213 tptp.tc_nat)) % 0.36/1.04 (define @t216 () (= @t31 @t27)) % 0.36/1.04 (define @t217 () (tptp.hAPP @t129 @t23)) % 0.36/1.04 (define @t218 () (= @t2 @t1)) % 0.36/1.04 (define @t219 () (not (= @t10 @t16))) % 0.36/1.04 (define @t220 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t3))) % 0.36/1.04 (define @t221 () (@list @t3 @t2 @t7 @t1)) % 0.36/1.04 (define @t222 () (@var "V_xs1" $$unsorted)) % 0.36/1.04 (define @t223 () (tptp.c_List_Olist_ONil @t3)) % 0.36/1.04 (define @t224 () (@var "V_list_H" $$unsorted)) % 0.36/1.04 (define @t225 () (@var "V_a_H" $$unsorted)) % 0.36/1.04 (define @t226 () (tptp.c_List_Olist_OCons @t225 @t224 @t3)) % 0.36/1.04 (define @t227 () (tptp.hBOOL (tptp.hAPP @t86 @t28))) % 0.36/1.04 (define @t228 () (not (= @t25 @t75))) % 0.36/1.04 (define @t229 () (= @t28 @t49)) % 0.36/1.04 (define @t230 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t28 @t3)) % 0.36/1.04 (define @t231 () (tptp.hAPP (tptp.hAPP @t4 @t230) (tptp.c_HOL_Otimes__class_Otimes @t31 @t31 @t3))) % 0.36/1.04 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t49 @t231 @t3)) % 0.36/1.04 (define @t233 () (= @t31 @t49)) % 0.36/1.04 (define @t234 () (tptp.hAPP @t5 @t69)) % 0.36/1.04 (define @t235 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t3))) % 0.36/1.04 (define @t236 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t1 @t7 @t3) (tptp.c_HOL_Otimes__class_Otimes @t1 @t2 @t3) @t3)) % 0.36/1.04 (define @t237 () (not @t236)) % 0.36/1.04 (define @t238 () (tptp.c_HOL_Oord__class_Oless @t49 @t1 @t3)) % 0.36/1.04 (define @t239 () (tptp.c_HOL_Oord__class_Oless @t1 @t49 @t3)) % 0.36/1.04 (define @t240 () (@list @t3 @t1 @t7 @t2)) % 0.36/1.04 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t7 @t2 @t3)) % 0.36/1.04 (define @t242 () (tptp.c_HOL_Oord__class_Oless @t2 @t7 @t3)) % 0.36/1.04 (define @t243 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 @t3)) % 0.36/1.04 (define @t244 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t1 @t3)) % 0.36/1.04 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t244 @t243 @t3)) % 0.36/1.04 (define @t246 () (not @t245)) % 0.36/1.04 (define @t247 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t94 @t98 @t96 @t95)) % 0.36/1.04 (define @t248 () (not @t239)) % 0.36/1.04 (define @t249 () (not @t242)) % 0.36/1.04 (define @t250 () (not @t238)) % 0.36/1.04 (define @t251 () (not @t241)) % 0.36/1.04 (define @t252 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t3))) % 0.36/1.04 (define @t253 () (@list @t3 @t7 @t1 @t2)) % 0.36/1.04 (define @t254 () (@list @t3 @t28)) % 0.36/1.04 (define @t255 () (= (tptp.hAPP @t50 @t7) @t7)) % 0.36/1.04 (define @t256 () (@list @t28)) % 0.36/1.04 (define @t257 () (@list @t19)) % 0.36/1.04 (define @t258 () (@list @t23)) % 0.36/1.04 (define @t259 () (= (tptp.hAPP @t8 @t49) @t7)) % 0.36/1.04 (define @t260 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t49 @t3)) % 0.36/1.04 (define @t261 () (tptp.hAPP (tptp.hAPP @t4 @t260) @t260)) % 0.36/1.04 (define @t262 () (not @t173)) % 0.36/1.04 (define @t263 () (not @t172)) % 0.36/1.04 (define @t264 () (tptp.c_HOL_Oord__class_Oless @t49 @t154 @t3)) % 0.36/1.04 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t49 @t7 @t3)) % 0.36/1.04 (define @t266 () (not @t265)) % 0.36/1.04 (define @t267 () (not (tptp.c_HOL_Oord__class_Oless @t75 @t19 tptp.tc_nat))) % 0.36/1.04 (define @t268 () (not (tptp.c_HOL_Oord__class_Oless @t75 @t23 tptp.tc_nat))) % 0.36/1.04 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t49 @t2 @t3)) % 0.36/1.04 (define @t270 () (@list @t3 @t2 @t7)) % 0.36/1.04 (define @t271 () (tptp.c_HOL_Oord__class_Oless @t49 @t45 @t3)) % 0.36/1.04 (define @t272 () (not @t269)) % 0.36/1.04 (define @t273 () (@var "V_w" $$unsorted)) % 0.36/1.04 (define @t274 () (= @t273 @t28)) % 0.36/1.04 (define @t275 () (= @t7 @t2)) % 0.36/1.04 (define @t276 () (= @t1 @t69)) % 0.36/1.04 (define @t277 () (tptp.hAPP @t4 @t244)) % 0.36/1.04 (define @t278 () (@list @t3 @t7 @t1 @t2 @t69)) % 0.36/1.04 (define @t279 () (tptp.c_Nat_Osize__class_Osize @t223 @t58)) % 0.36/1.04 (define @t280 () (tptp.c_fequal @t3)) % 0.36/1.04 (define @t281 () (@var "V_ry" $$unsorted)) % 0.36/1.04 (define @t282 () (@var "V_ly" $$unsorted)) % 0.36/1.04 (define @t283 () (@var "V_rx" $$unsorted)) % 0.36/1.04 (define @t284 () (@var "V_lx" $$unsorted)) % 0.36/1.04 (define @t285 () (tptp.c_HOL_Otimes__class_Otimes @t284 @t283 @t3)) % 0.36/1.04 (define @t286 () (tptp.c_HOL_Otimes__class_Otimes @t283 @t281 @t3)) % 0.36/1.04 (define @t287 () (tptp.c_HOL_Otimes__class_Otimes @t284 @t282 @t3)) % 0.36/1.04 (define @t288 () (tptp.c_HOL_Otimes__class_Otimes @t287 @t286 @t3)) % 0.36/1.04 (define @t289 () (@list @t3 @t284 @t282 @t283 @t281)) % 0.36/1.04 (define @t290 () (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t7 @t3) @t49)) % 0.36/1.04 (define @t291 () (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t49 @t3) @t49)) % 0.36/1.04 (define @t292 () (not (tptp.class_Ring__and__Field_Omult__zero @t3))) % 0.36/1.04 (define @t293 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t294 () (tptp.c_HOL_Otimes__class_Otimes @t23 @t47 tptp.tc_nat)) % 0.36/1.04 (define @t295 () (tptp.c_Nat_Osize__class_Osize @t79 @t58)) % 0.36/1.04 (define @t296 () (@list @t79 @t81 @t3)) % 0.36/1.04 (define @t297 () (tptp.c_ListOrder_Ostep1 @t82 @t81 @t79 @t3)) % 0.36/1.04 (define @t298 () (@list @t82 @t81 @t79 @t3 @t31 @t28)) % 0.36/1.04 (define @t299 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t3))) % 0.36/1.04 (define @t300 () (tptp.hAPP @t113 @t18)) % 0.36/1.04 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t140 @t139 @t3)) % 0.36/1.04 (define @t302 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t3))) % 0.36/1.04 (define @t303 () (tptp.c_HOL_Oord__class_Oless @t45 @t49 @t3)) % 0.36/1.04 (define @t304 () (= @t79 @t223)) % 0.36/1.04 (define @t305 () (@list @t79 @t3)) % 0.36/1.04 (define @t306 () (not (= @t231 @t49))) % 0.36/1.04 (define @t307 () (tptp.c_HOL_Oord__class_Oless @t16 @t6 @t3)) % 0.36/1.04 (define @t308 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t3))) % 0.36/1.04 (define @t309 () (tptp.c_HOL_Oord__class_Oless @t124 (tptp.hAPP @t123 @t2) @t3)) % 0.36/1.04 (define @t310 () (tptp.c_HOL_Oord__class_Oless @t217 @t130 tptp.tc_nat)) % 0.36/1.04 (define @t311 () (not (= @t78 @t226))) % 0.36/1.04 (define @t312 () (@list @t7 @t77 @t3 @t225 @t224)) % 0.36/1.04 (define @t313 () (not @t297)) % 0.36/1.04 (define @t314 () (tptp.c_HOL_Otimes__class_Otimes @t287 @t283 @t3)) % 0.36/1.04 (define @t315 () (@list @t3 @t284 @t282 @t283)) % 0.36/1.04 (define @t316 () (tptp.c_HOL_Otimes__class_Otimes @t284 @t286 @t3)) % 0.36/1.04 (define @t317 () (@list @t3 @t284 @t283 @t281)) % 0.36/1.04 (define @t318 () (= (tptp.c_HOL_Otimes__class_Otimes @t10 @t1 @t3) (tptp.hAPP @t277 @t243))) % 0.36/1.04 (define @t319 () (tptp.c_List_Oappend @t223 @t80 @t3)) % 0.36/1.04 (define @t320 () (tptp.c_List_Oappend @t81 (tptp.c_List_Olist_OCons @t31 @t223 @t3) @t3)) % 0.36/1.04 (define @t321 () (tptp.c_List_Oappend @t79 (tptp.c_List_Olist_OCons @t28 @t223 @t3) @t3)) % 0.36/1.04 (define @t322 () (not (= @t321 @t320))) % 0.36/1.04 (define @t323 () (@list @t79 @t28 @t3 @t81 @t31)) % 0.36/1.04 (define @t324 () (@var "V_ss" $$unsorted)) % 0.36/1.04 (define @t325 () (@var "V_s" $$unsorted)) % 0.36/1.04 (define @t326 () (tptp.c_Lambda_OdB_OAbs @t82)) % 0.36/1.04 (define @t327 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t326) @t325) @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t328 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t82 @t325 @t47) @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t329 () (@list @t82 @t325 @t324)) % 0.36/1.04 (define @t330 () (not (tptp.c_ListOrder_Ostep1 @t82 @t320 @t321 @t3))) % 0.36/1.04 (define @t331 () (= @t31 @t28)) % 0.36/1.04 (define @t332 () (= @t81 @t79)) % 0.36/1.04 (define @t333 () (tptp.c_Lambda_OdB_OVar @t112)) % 0.36/1.04 (define @t334 () (tptp.c_Lambda_Oliftn @t19 @t333 @t18)) % 0.36/1.04 (define @t335 () (@list @t19 @t112 @t18)) % 0.36/1.04 (define @t336 () (tptp.c_HOL_Oord__class_Oless @t49 @t139 @t3)) % 0.36/1.04 (define @t337 () (@list @t3 @t19)) % 0.36/1.04 (define @t338 () (@list @t98 @t95 @t94 @t96)) % 0.36/1.04 (define @t339 () (@var "V_Ts" $$unsorted)) % 0.36/1.04 (define @t340 () (not (tptp.c_Type_Otypings @t98 @t95 @t339))) % 0.36/1.04 (define @t341 () (@var "V_A" $$unsorted)) % 0.36/1.04 (define @t342 () (tptp.c_List_Olistsp @t341 tptp.t_a)) % 0.36/1.04 (define @t343 () (not (tptp.hBOOL (tptp.hAPP @t342 @t28)))) % 0.36/1.04 (define @t344 () (@var "V_P" $$unsorted)) % 0.36/1.04 (define @t345 () (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_List_Olist_ONil tptp.t_a))))) % 0.36/1.04 (define @t346 () (tptp.v_sko__List__Xlistsp__Xinduct__2 @t341 @t344)) % 0.36/1.04 (define @t347 () (tptp.v_sko__List__Xlistsp__Xinduct__1 @t341 @t344)) % 0.36/1.04 (define @t348 () (tptp.hBOOL (tptp.hAPP @t344 @t28))) % 0.36/1.04 (define @t349 () (@list @t344 @t28 @t341)) % 0.36/1.04 (define @t350 () (tptp.v_sko__List__Xlistsp__Xinducts__2 @t341 @t344)) % 0.36/1.04 (define @t351 () (tptp.v_sko__List__Xlistsp__Xinducts__1 @t341 @t344)) % 0.36/1.04 (define @t352 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t333 @t95 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t353 () (not (tptp.c_Type_Otyping @t98 @t352 @t94))) % 0.36/1.04 (define @t354 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t94 @t98 @t112 @t95)) % 0.36/1.04 (define @t355 () (@var "V_us" $$unsorted)) % 0.36/1.04 (define @t356 () (not (tptp.c_Type_Otyping @t98 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t352 @t355 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t94))) % 0.36/1.04 (define @t357 () (@var "V_U" $$unsorted)) % 0.36/1.04 (define @t358 () (not (tptp.c_Type_Otyping @t98 @t352 @t357))) % 0.36/1.04 (define @t359 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t94 @t357 @t98 @t355)) % 0.36/1.04 (define @t360 () (@var "V_v" $$unsorted)) % 0.36/1.04 (define @t361 () (@var "V_rs" $$unsorted)) % 0.36/1.04 (define @t362 () (tptp.c_Lambda_OdB_OVar @t19)) % 0.36/1.04 (define @t363 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t362 @t361 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t364 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t363) @t360)))) % 0.36/1.04 (define @t365 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t19 @t361 @t360)) % 0.36/1.04 (define @t366 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t367 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t82) @t325)))) % 0.36/1.04 (define @t368 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 (tptp.c_Lambda_Osubst @t96 @t82 @t112)) (tptp.c_Lambda_Osubst @t96 @t325 @t112)))) % 0.36/1.04 (define @t369 () (@list @t96 @t82 @t112 @t325)) % 0.36/1.04 (define @t370 () (tptp.c_Lambda_Osubst @t325 @t96 @t112)) % 0.36/1.04 (define @t371 () (tptp.c_Lambda_Osubst @t82 @t96 @t112)) % 0.36/1.04 (define @t372 () (@list @t82 @t96 @t112 @t325)) % 0.36/1.04 (define @t373 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t82) @t325)))) % 0.36/1.04 (define @t374 () (@var "V_s_H" $$unsorted)) % 0.36/1.04 (define @t375 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t325) @t374)))) % 0.36/1.04 (define @t376 () (tptp.c_Lambda_OdB_OAbs @t325)) % 0.36/1.04 (define @t377 () (@var "V_t_H" $$unsorted)) % 0.36/1.04 (define @t378 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t96) @t377)))) % 0.36/1.04 (define @t379 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t325)) % 0.36/1.04 (define @t380 () (tptp.hAPP @t379 @t96)) % 0.36/1.04 (define @t381 () (tptp.hAPP @t366 @t380)) % 0.36/1.04 (define @t382 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t374)) % 0.36/1.04 (define @t383 () (tptp.c_Lambda_OdB_OVar @t28)) % 0.36/1.04 (define @t384 () (tptp.c_HOL_Oord__class_Oless @t28 @t28 tptp.tc_nat)) % 0.36/1.04 (define @t385 () (@list @t28 @t325)) % 0.36/1.04 (define @t386 () (not (tptp.class_Orderings_Opreorder @t3))) % 0.36/1.04 (define @t387 () (tptp.c_HOL_Oord__class_Oless @t28 @t31 @t3)) % 0.36/1.04 (define @t388 () (not @t387)) % 0.36/1.04 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t31 @t28 @t3)) % 0.36/1.04 (define @t390 () (not @t389)) % 0.36/1.04 (define @t391 () (@list @t3 @t31 @t28)) % 0.36/1.04 (define @t392 () (not (tptp.class_Orderings_Olinorder @t3))) % 0.36/1.04 (define @t393 () (tptp.hAPP @t89 @t7)) % 0.36/1.04 (define @t394 () (tptp.hBOOL (tptp.hAPP @t393 @t1))) % 0.36/1.04 (define @t395 () (@list @t82 @t3 @t7 @t1 @t2)) % 0.36/1.04 (define @t396 () (not (tptp.class_Orderings_Oorder @t3))) % 0.36/1.04 (define @t397 () (tptp.c_HOL_Oord__class_Oless @t23 @t108 tptp.tc_nat)) % 0.36/1.04 (define @t398 () (tptp.c_HOL_Oord__class_Oless @t110 @t19 tptp.tc_nat)) % 0.36/1.04 (define @t399 () (@var "V_type1_H" $$unsorted)) % 0.36/1.04 (define @t400 () (@var "V_type1" $$unsorted)) % 0.36/1.04 (define @t401 () (@var "V_type2_H" $$unsorted)) % 0.36/1.04 (define @t402 () (@var "V_type2" $$unsorted)) % 0.36/1.04 (define @t403 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t400) @t402) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t399) @t401)))) % 0.36/1.04 (define @t404 () (@list @t400 @t402 @t399 @t401)) % 0.36/1.04 (define @t405 () (not (tptp.c_HOL_Oord__class_Oless @t117 @t112 tptp.tc_nat))) % 0.36/1.04 (define @t406 () (tptp.c_Suc @t112)) % 0.36/1.04 (define @t407 () (tptp.c_Suc @t28)) % 0.36/1.04 (define @t408 () (tptp.c_HOL_Oord__class_Oless @t28 @t407 tptp.tc_nat)) % 0.36/1.04 (define @t409 () (@var "V_nat_H" $$unsorted)) % 0.36/1.04 (define @t410 () (tptp.c_Suc @t409)) % 0.36/1.04 (define @t411 () (@list @t409)) % 0.36/1.04 (define @t412 () (tptp.c_HOL_Oord__class_Oless @t186 @t28 @t3)) % 0.36/1.04 (define @t413 () (not (tptp.class_Lattices_Olower__semilattice @t3))) % 0.36/1.04 (define @t414 () (@list @t3 @t7 @t2 @t28)) % 0.36/1.04 (define @t415 () (tptp.c_HOL_Oord__class_Oless @t19 @t23 tptp.tc_nat)) % 0.36/1.04 (define @t416 () (not (tptp.c_HOL_Oord__class_Oless @t28 @t28 @t3))) % 0.36/1.04 (define @t417 () (tptp.c_HOL_Oord__class_Oless @t19 @t110 tptp.tc_nat)) % 0.36/1.04 (define @t418 () (not @t417)) % 0.36/1.04 (define @t419 () (@var "V_env" $$unsorted)) % 0.36/1.04 (define @t420 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t94) @t357)) % 0.36/1.04 (define @t421 () (tptp.c_Lambda_OdB_OAbs @t96)) % 0.36/1.04 (define @t422 () (tptp.hAPP @t89 @t28)) % 0.36/1.04 (define @t423 () (tptp.hBOOL (tptp.hAPP @t422 @t31))) % 0.36/1.04 (define @t424 () (@var "V_nat" $$unsorted)) % 0.36/1.04 (define @t425 () (= @t424 @t409)) % 0.36/1.04 (define @t426 () (@list @t424 @t409)) % 0.36/1.04 (define @t427 () (@var "V_vs" $$unsorted)) % 0.36/1.04 (define @t428 () (tptp.c_List_Oappend @t79 @t28 @t3)) % 0.36/1.04 (define @t429 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t96) @t182)) % 0.36/1.04 (define @t430 () (not (tptp.c_Type_Otyping @t98 @t429 @t94))) % 0.36/1.04 (define @t431 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t94 @t98 @t96 @t182)) % 0.36/1.04 (define @t432 () (tptp.c_HOL_Oord__class_Oless @t110 @t108 tptp.tc_nat)) % 0.36/1.04 (define @t433 () (tptp.c_HOL_Oord__class_Oless @t18 @t112 tptp.tc_nat)) % 0.36/1.04 (define @t434 () (= @t112 @t18)) % 0.36/1.04 (define @t435 () (@list @t112 @t325 @t18)) % 0.36/1.04 (define @t436 () (tptp.c_Lambda_OdB_OVar @t117)) % 0.36/1.04 (define @t437 () (@var "V_B" $$unsorted)) % 0.36/1.04 (define @t438 () (tptp.c_List_Olistsp @t437 @t3)) % 0.36/1.04 (define @t439 () (tptp.c_List_Olistsp @t341 @t3)) % 0.36/1.04 (define @t440 () (tptp.tc_fun @t3 tptp.tc_bool)) % 0.36/1.04 (define @t441 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t437 @t440)) % 0.36/1.04 (define @t442 () (tptp.c_List_Olistsp @t441 @t3)) % 0.36/1.04 (define @t443 () (@list @t341 @t437 @t3)) % 0.36/1.04 (define @t444 () (not (tptp.c_Type_Otyping @t98 @t96 @t94))) % 0.36/1.04 (define @t445 () (tptp.c_Type_Otyping @t98 @t377 @t94)) % 0.36/1.04 (define @t446 () (@list @t98 @t377 @t94 @t96)) % 0.36/1.04 (define @t447 () (@var "V_e_H" $$unsorted)) % 0.36/1.04 (define @t448 () (tptp.c_Lambda_Olift @t325 @t112)) % 0.36/1.04 (define @t449 () (tptp.c_Lambda_Olift @t82 @t112)) % 0.36/1.04 (define @t450 () (@list @t82 @t112 @t325)) % 0.36/1.04 (define @t451 () (not @t119)) % 0.36/1.04 (define @t452 () (tptp.c_Lambda_Olift @t96 @t112)) % 0.36/1.04 (define @t453 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t7)))) % 0.36/1.04 (define @t454 () (tptp.v_sko__InductTermi__XIT__Xcases__1 @t7)) % 0.36/1.04 (define @t455 () (= @t7 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.v_sko__InductTermi__XIT__Xcases__2 @t7)) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.36/1.04 (define @t456 () (tptp.v_sko__InductTermi__XIT__Xcases__3 @t7)) % 0.36/1.04 (define @t457 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t456))) % 0.36/1.04 (define @t458 () (tptp.v_sko__InductTermi__XIT__Xcases__6 @t7)) % 0.36/1.04 (define @t459 () (tptp.v_sko__InductTermi__XIT__Xcases__5 @t7)) % 0.36/1.04 (define @t460 () (tptp.v_sko__InductTermi__XIT__Xcases__4 @t7)) % 0.36/1.04 (define @t461 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t460 @t459 @t47) @t458 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/1.04 (define @t462 () (@list @t7)) % 0.36/1.04 (define @t463 () (tptp.c_Lambda_Oliftn @t19 @t96 @t18)) % 0.36/1.04 (define @t464 () (= @t7 (tptp.c_Lambda_OdB_OAbs @t456))) % 0.36/1.04 (define @t465 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t466 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t325 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t467 () (@list @t82 @t324 @t325)) % 0.36/1.04 (define @t468 () (= @t7 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t460)) @t459) @t458 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.36/1.04 (define @t469 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t470 () (tptp.hBOOL (tptp.hAPP @t469 @t454))) % 0.36/1.04 (define @t471 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t472 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t82) @t325)) % 0.36/1.04 (define @t473 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t376) @t96)) % 0.36/1.04 (define @t474 () (@list @t325 @t96)) % 0.36/1.04 (define @t475 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t459))) % 0.36/1.04 (define @t476 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t325) @t96)))) % 0.36/1.04 (define @t477 () (tptp.hBOOL (tptp.hAPP @t441 @t28))) % 0.36/1.04 (define @t478 () (not @t477)) % 0.36/1.04 (define @t479 () (tptp.hBOOL (tptp.hAPP @t341 @t28))) % 0.36/1.04 (define @t480 () (tptp.hBOOL (tptp.hAPP @t437 @t28))) % 0.36/1.04 (define @t481 () (tptp.c_List_Oappend @t223 @t223 @t3)) % 0.36/1.04 (define @t482 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t326 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t483 () (tptp.c_Lambda_Olift @t96 @t18)) % 0.36/1.04 (define @t484 () (= @t324 @t471)) % 0.36/1.04 (define @t485 () (not (= @t466 @t326))) % 0.36/1.04 (define @t486 () (@list @t325 @t324 @t82)) % 0.36/1.04 (define @t487 () (not (= @t326 @t466))) % 0.36/1.04 (define @t488 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t31 @t3)) % 0.36/1.04 (define @t489 () (= @t488 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t28 @t3))) % 0.36/1.04 (define @t490 () (not (tptp.class_Lattices_Olattice @t3))) % 0.36/1.04 (define @t491 () (@var "V_dB" $$unsorted)) % 0.36/1.04 (define @t492 () (@var "V_f3" $$unsorted)) % 0.36/1.04 (define @t493 () (tptp.hAPP @t492 @t491)) % 0.36/1.04 (define @t494 () (tptp.c_Lambda_OdB_OAbs @t491)) % 0.36/1.04 (define @t495 () (@var "V_f2" $$unsorted)) % 0.36/1.04 (define @t496 () (@var "V_f1" $$unsorted)) % 0.36/1.04 (define @t497 () (@list @t496 @t495 @t492 @t491 @t3)) % 0.36/1.04 (define @t498 () (= @t81 @t134)) % 0.36/1.04 (define @t499 () (@list @t79 @t81 @t3 @t134)) % 0.36/1.04 (define @t500 () (tptp.c_List_Oappend @t79 @t223 @t3)) % 0.36/1.04 (define @t501 () (tptp.c_List_Oappend @t223 @t81 @t3)) % 0.36/1.04 (define @t502 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t27 @t3) @t3)) % 0.36/1.04 (define @t503 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t488 @t27 @t3) @t502)) % 0.36/1.04 (define @t504 () (= @t502 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t27 @t3) @t3))) % 0.36/1.04 (define @t505 () (@var "V_C" $$unsorted)) % 0.36/1.04 (define @t506 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t437 @t505 @t440) @t440)) % 0.36/1.04 (define @t507 () (not (= @t223 @t207))) % 0.36/1.04 (define @t508 () (@list @t3 @t79 @t81)) % 0.36/1.04 (define @t509 () (= @t81 @t223)) % 0.36/1.04 (define @t510 () (@var "V_dB_H" $$unsorted)) % 0.36/1.04 (define @t511 () (tptp.c_Lambda_OdB_OAbs @t510)) % 0.36/1.04 (define @t512 () (not (= @t207 @t223))) % 0.36/1.04 (define @t513 () (= @t361 @t324)) % 0.36/1.04 (define @t514 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t326 @t361 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t376 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/1.04 (define @t515 () (@list @t82 @t361 @t325 @t324)) % 0.36/1.04 (define @t516 () (= @t82 @t325)) % 0.36/1.04 (define @t517 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t488 @t3) @t488)) % 0.36/1.04 (define @t518 () (@list @t341 @t3)) % 0.36/1.04 (define @t519 () (@list @t96 @t182 @t325 @t18)) % 0.36/1.04 (define @t520 () (tptp.c_Lambda_OdB_OVar @t424)) % 0.36/1.04 (define @t521 () (@var "V_dB2" $$unsorted)) % 0.36/1.04 (define @t522 () (@var "V_dB1" $$unsorted)) % 0.36/1.04 (define @t523 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t522) @t521)) % 0.36/1.04 (define @t524 () (@var "V_xd" $$unsorted)) % 0.36/1.04 (define @t525 () (tptp.hAPP @t496 @t424)) % 0.36/1.04 (define @t526 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t362 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/1.04 (define @t527 () (tptp.c_Lambda_OdB_OVar @t23)) % 0.36/1.04 (define @t528 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t527 @t361 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t526))) % 0.36/1.04 (define @t529 () (@list @t23 @t361 @t19 @t324)) % 0.36/1.04 (define @t530 () (@var "V_xc" $$unsorted)) % 0.36/1.04 (define @t531 () (@var "V_xb" $$unsorted)) % 0.36/1.04 (define @t532 () (tptp.hAPP (tptp.hAPP @t495 @t522) @t521)) % 0.36/1.04 (define @t533 () (not @t105)) % 0.36/1.04 (define @t534 () (@var "T_c" $$unsorted)) % 0.36/1.04 (define @t535 () (@var "V_g" $$unsorted)) % 0.36/1.04 (define @t536 () (tptp.hBOOL (tptp.hAPP @t439 @t79))) % 0.36/1.04 (define @t537 () (tptp.hBOOL (tptp.hAPP @t439 @t81))) % 0.36/1.04 (define @t538 () (tptp.hBOOL (tptp.hAPP @t439 @t207))) % 0.36/1.04 (define @t539 () (@list @t341 @t3 @t79 @t81)) % 0.36/1.04 (define @t540 () (@var "V_dB1_H" $$unsorted)) % 0.36/1.04 (define @t541 () (@var "V_dB2_H" $$unsorted)) % 0.36/1.04 (define @t542 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t540) @t541)) % 0.36/1.04 (define @t543 () (not (= @t523 @t542))) % 0.36/1.04 (define @t544 () (@list @t522 @t521 @t540 @t541)) % 0.36/1.04 (define @t545 () (not (= @t527 @t466))) % 0.36/1.04 (define @t546 () (@list @t23 @t325 @t324)) % 0.36/1.04 (define @t547 () (@list @t496 @t495 @t492 @t424 @t3)) % 0.36/1.04 (define @t548 () (forall @t257 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t362)))) % 0.36/1.04 (define @t549 () (not @t538)) % 0.36/1.04 (define @t550 () (@list @t496 @t495 @t492 @t522 @t521 @t3)) % 0.36/1.04 (define @t551 () (@var "V_R" $$unsorted)) % 0.36/1.04 (define @t552 () (@var "V_Q" $$unsorted)) % 0.36/1.04 (define @t553 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t182)) % 0.36/1.04 (define @t554 () (tptp.c_Lambda_OdB_OVar tptp.v_i)) % 0.36/1.04 (define @t555 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t554))) % 0.36/1.04 (define @t556 () (@var "T_1" $$unsorted)) % 0.36/1.04 (define @t557 () (not (tptp.class_Lattices_Olattice @t556))) % 0.36/1.04 (define @t558 () (@var "T_2" $$unsorted)) % 0.36/1.04 (define @t559 () (tptp.tc_fun @t558 @t556)) % 0.36/1.04 (define @t560 () (@list @t558 @t556)) % 0.36/1.04 (define @t561 () (@var "V_Y" $$unsorted)) % 0.36/1.04 (define @t562 () (@var "V_X" $$unsorted)) % 0.36/1.04 (assume @p1 (forall @t15 (or @t14 @t13))) % 0.36/1.04 (assume @p2 (forall @t15 (or @t17 (= @t9 (tptp.hAPP @t5 @t16))))) % 0.36/1.04 (assume @p3 (forall @t15 (or @t17 @t13))) % 0.36/1.04 (assume @p4 (forall @t26 (= (tptp.hAPP (tptp.hAPP @t20 @t25) @t18) (tptp.hAPP @t24 @t22)))) % 0.36/1.04 (assume @p5 (forall @t34 (= (tptp.hAPP @t29 @t33) (tptp.hAPP @t32 @t30)))) % 0.36/1.04 (assume @p6 (forall @t41 (or @t40 (= @t39 (tptp.hAPP @t37 @t36))))) % 0.36/1.04 (assume @p7 (forall @t41 (or @t43 (= @t39 (tptp.hAPP (tptp.hAPP @t4 @t42) @t27))))) % 0.36/1.04 (assume @p8 (forall @t46 (or @t43 (= @t45 @t44)))) % 0.36/1.04 (assume @p9 (= (tptp.hAPP @t48 @t47) @t47)) % 0.36/1.04 (assume @p10 (forall @t52 (or @t51 (= (tptp.hAPP @t50 @t49) @t49)))) % 0.36/1.04 (assume @p11 (forall @t55 (= @t54 @t53))) % 0.36/1.04 (assume @p12 (forall @t57 (or @t43 (= @t56 (tptp.c_HOL_Otimes__class_Otimes @t31 @t28 @t3))))) % 0.36/1.04 (assume @p13 (forall @t63 (= @t62 @t60))) % 0.36/1.04 (assume @p14 (forall (@list @t59 @t3 @t28) (= @t60 @t62))) % 0.36/1.04 (assume @p15 (forall @t41 (or @t67 @t66 (= @t65 (tptp.hAPP (tptp.hAPP @t4 @t64) @t56))))) % 0.36/1.04 (assume @p16 (forall (@list @t3 @t28 @t1 @t69) (or @t67 @t66 (= (tptp.hAPP (tptp.hAPP @t4 @t68) @t70) (tptp.hAPP (tptp.hAPP @t4 @t70) @t68))))) % 0.36/1.04 (assume @p17 (forall (@list @t28 @t1 @t69) (= (tptp.hAPP (tptp.hAPP @t20 @t71) @t72) (tptp.hAPP (tptp.hAPP @t20 @t72) @t71)))) % 0.36/1.04 (assume @p18 (forall @t34 (= (tptp.hAPP (tptp.hAPP @t20 @t73) @t74) (tptp.hAPP (tptp.hAPP @t20 @t74) @t73)))) % 0.36/1.04 (assume @p19 (= @t76 @t75)) % 0.36/1.04 (assume @p20 (forall (@list @t7 @t77 @t3) (= (tptp.c_Nat_Osize__class_Osize @t78 @t58) (tptp.hAPP (tptp.hAPP @t20 (tptp.c_Nat_Osize__class_Osize @t77 @t58)) @t75)))) % 0.36/1.04 (assume @p21 (forall (@list @t28 @t31 @t79 @t81 @t82 @t3) (or @t85 @t84 @t83))) % 0.36/1.04 (assume @p22 (forall (@list @t82 @t31 @t59 @t28 @t3) (or (not (tptp.hBOOL (tptp.hAPP @t86 @t59))) (tptp.c_ListOrder_Ostep1 @t82 (tptp.c_List_Olist_OCons @t31 @t28 @t3) (tptp.c_List_Olist_OCons @t59 @t28 @t3) @t3)))) % 0.36/1.04 (assume @p23 (forall @t93 (or @t92 @t91 @t88))) % 0.36/1.04 (assume @p24 (forall @t93 (or @t92 @t88 @t91))) % 0.36/1.04 (assume @p25 (forall @t102 (or (tptp.c_Type_Otyping @t98 @t96 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t101 @t94 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t100))) % 0.36/1.04 (assume @p26 (forall (@list @t96) (or (tptp.c_Wellfounded_Oaccp @t104 @t96 tptp.tc_Lambda_OdB) @t103))) % 0.36/1.04 (assume @p27 (forall @t106 (or @t105 (not (tptp.c_Wellfounded_Oaccp @t104 @t82 tptp.tc_Lambda_OdB))))) % 0.36/1.04 (assume @p28 (forall @t55 (= @t109 @t107))) % 0.36/1.04 (assume @p29 (forall @t55 (= @t111 @t107))) % 0.36/1.04 (assume @p30 (forall @t114 (tptp.c_HOL_Oord__class_Oless @t112 (tptp.c_Suc (tptp.hAPP @t113 @t23)) tptp.tc_nat))) % 0.36/1.04 (assume @p31 (forall @t114 (tptp.c_HOL_Oord__class_Oless @t112 (tptp.c_Suc (tptp.hAPP @t24 @t112)) tptp.tc_nat))) % 0.36/1.04 (assume @p32 (forall (@list @t23 @t28) (tptp.c_HOL_Oord__class_Oless @t23 (tptp.c_Suc (tptp.hAPP @t24 @t28)) tptp.tc_nat))) % 0.36/1.04 (assume @p33 (forall @t34 (or @t116 (not @t115)))) % 0.36/1.04 (assume @p34 (forall @t34 (or @t116 (not (tptp.c_HOL_Oord__class_Oless @t28 @t27 tptp.tc_nat))))) % 0.36/1.04 (assume @p35 (forall @t120 (or @t119 (not (tptp.c_HOL_Oord__class_Oless @t118 @t18 tptp.tc_nat))))) % 0.36/1.04 (assume @p36 (forall (@list @t112 @t117 @t23) (or (tptp.c_HOL_Oord__class_Oless @t112 (tptp.hAPP @t122 @t23) tptp.tc_nat) @t121))) % 0.36/1.04 (assume @p37 (forall (@list @t112 @t23 @t117) (or (tptp.c_HOL_Oord__class_Oless @t112 (tptp.hAPP @t24 @t117) tptp.tc_nat) @t121))) % 0.36/1.04 (assume @p38 (forall (@list @t3 @t7 @t1) (or @t43 (= @t16 @t124)))) % 0.36/1.04 (assume @p39 (forall @t46 (or @t17 (= @t10 @t125)))) % 0.36/1.04 (assume @p40 (forall @t55 (= @t25 (tptp.hAPP @t21 @t23)))) % 0.36/1.04 (assume @p41 (forall (@list @t23 @t127 @t18 @t19) (or (not (= (tptp.hAPP @t24 @t127) @t130)) @t128 @t126))) % 0.36/1.04 (assume @p42 (forall @t57 (or @t43 (= @t42 (tptp.hAPP @t37 @t28))))) % 0.36/1.04 (assume @p43 (forall @t55 (or @t132 @t131))) % 0.36/1.04 (assume @p44 (forall @t55 (or @t132 @t133))) % 0.36/1.04 (assume @p45 (forall (@list @t3 @t28 @t31 @t134) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t3)) (= (tptp.c_List_Ofoldl @t4 @t42 @t134 @t3 @t3) (tptp.hAPP @t35 (tptp.c_List_Ofoldl @t4 @t31 @t134 @t3 @t3)))))) % 0.36/1.04 (assume @p46 (forall (@list @t136 @t79 @t81 @t135 @t7 @t3) (= (tptp.c_List_Ofoldr @t136 @t137 @t7 @t135 @t3) (tptp.c_List_Ofoldr @t136 @t79 (tptp.c_List_Ofoldr @t136 @t81 @t7 @t135 @t3) @t135 @t3)))) % 0.36/1.04 (assume @p47 (forall @t141 (or (not (tptp.class_Nat_Osemiring__char__0 @t3)) (not (= @t140 @t139)) @t138))) % 0.36/1.04 (assume @p48 (forall (@list @t3 @t28 @t7) (or @t67 @t66 (not (= @t28 (tptp.hAPP @t35 @t7))) @t142))) % 0.36/1.04 (assume @p49 (forall @t55 (or (not (= @t25 @t23)) @t143))) % 0.36/1.04 (assume @p50 (forall (@list @t28 @t7) (or (not (= @t28 (tptp.hAPP @t29 @t7))) (= @t7 @t47)))) % 0.36/1.04 (assume @p51 (forall @t148 (or @t147 @t138 @t144))) % 0.36/1.04 (assume @p52 (forall @t148 (or @t147 @t144 @t138))) % 0.36/1.04 (assume @p53 (forall @t151 (or (not (= @t150 @t149)) @t144 @t138))) % 0.36/1.04 (assume @p54 (forall @t55 (or @t153 @t152))) % 0.36/1.04 (assume @p55 (forall @t55 (or @t153 @t143))) % 0.36/1.04 (assume @p56 (forall @t155 (or @t51 (not (= @t154 @t49)) @t142))) % 0.36/1.04 (assume @p57 (forall (@list @t3 @t79 @t7) (or @t14 (= (tptp.c_List_Ofoldr @t4 @t79 @t7 @t3 @t3) @t156)))) % 0.36/1.04 (assume @p58 (forall @t46 (or @t159 @t158 @t157 @t142))) % 0.36/1.04 (assume @p59 (forall @t46 (or @t160 @t158 @t157 @t142))) % 0.36/1.04 (assume @p60 (forall @t46 (or @t160 @t158 @t142 @t157))) % 0.36/1.04 (assume @p61 (forall @t55 (or (not (= @t54 @t47)) @t143 @t152))) % 0.36/1.04 (assume @p62 (forall @t155 (or @t51 @t163 @t162))) % 0.36/1.04 (assume @p63 (forall @t155 (or @t51 @t161 @t164))) % 0.36/1.04 (assume @p64 (forall @t155 (or @t165 @t161 @t164))) % 0.36/1.04 (assume @p65 (forall @t155 (or @t165 @t163 @t162))) % 0.36/1.04 (assume @p66 (forall @t55 (or @t166 @t133 @t131))) % 0.36/1.04 (assume @p67 (forall @t170 (or @t43 (= @t169 (tptp.hAPP @t167 @t69))))) % 0.36/1.04 (assume @p68 (forall @t15 (or @t43 (= @t12 (tptp.hAPP @t167 @t2))))) % 0.36/1.04 (assume @p69 (forall @t170 (or @t43 (= @t169 (tptp.hAPP @t123 (tptp.hAPP @t8 @t69)))))) % 0.36/1.04 (assume @p70 (forall @t15 (or @t43 @t13))) % 0.36/1.04 (assume @p71 (forall @t174 (or @t173 @t172 (not @t171)))) % 0.36/1.04 (assume @p72 (forall (@list @t82 @t3 @t135 @t2 @t7) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t176 @t2) @t7)) @t175))) % 0.36/1.04 (assume @p73 (forall (@list @t82 @t177 @t178 @t3 @t135) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t177) @t178)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t176 @t178) @t177)))))) % 0.36/1.04 (assume @p74 (forall (@list @t82 @t3 @t135 @t7 @t2) (or @t181 (not @t180)))) % 0.36/1.04 (assume @p75 (forall (@list @t82 @t2 @t7 @t3 @t135) (or @t180 (not @t181)))) % 0.36/1.04 (assume @p76 (forall (@list @t3 @t28 @t31 @t27 @t182) (or @t40 (not (= @t39 (tptp.hAPP @t37 @t182))) (= @t36 @t182)))) % 0.36/1.04 (assume @p77 (forall (@list @t136 @t135 @t7 @t3) (= (tptp.c_List_Ofoldr @t136 @t183 @t7 @t135 @t3) @t7))) % 0.36/1.04 (assume @p78 (forall @t15 (or @t185 @t184))) % 0.36/1.04 (assume @p79 (forall @t15 (or @t185 @t187))) % 0.36/1.04 (assume @p80 (forall @t15 (or @t51 @t184))) % 0.36/1.04 (assume @p81 (forall @t15 (or @t51 @t187))) % 0.36/1.04 (assume @p82 (= @t75 @t188)) % 0.36/1.04 (assume @p83 (forall @t148 (or @t147 @t190 @t138))) % 0.36/1.04 (assume @p84 (forall @t55 (or @t166 @t133 @t143))) % 0.36/1.04 (assume @p85 (forall @t55 (or @t166 @t152 @t131))) % 0.36/1.04 (assume @p86 (forall @t148 (or @t189 @t192))) % 0.36/1.04 (assume @p87 (forall @t148 (or @t189 @t194))) % 0.36/1.04 (assume @p88 (forall (@list @t136 @t7 @t28 @t79 @t135 @t3) (= (tptp.c_List_Ofoldl @t136 @t7 @t195 @t3 @t135) (tptp.c_List_Ofoldl @t136 (tptp.hAPP (tptp.hAPP @t136 @t7) @t28) @t79 @t3 @t135)))) % 0.36/1.04 (assume @p89 (forall @t55 (= @t111 @t109))) % 0.36/1.04 (assume @p90 (forall (@list @t82 @t3 @t31 @t28) (or @t198 (not @t196)))) % 0.36/1.04 (assume @p91 (forall @t199 (or @t196 (not @t198)))) % 0.36/1.04 (assume @p92 (forall (@list @t112 @t182 @t117 @t18) (= (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t112 @t182 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t117 @t182 tptp.tc_nat)) @t18)) (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t118 @t182 tptp.tc_nat)) @t18)))) % 0.36/1.04 (assume @p93 (forall (@list @t3 @t7 @t98 @t2 @t1) (or (not (tptp.class_Ring__and__Field_Osemiring @t3)) (= (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t7 @t98 @t3)) (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t2 @t98 @t3)) @t1)) (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t10 @t98 @t3)) @t1))))) % 0.36/1.04 (assume @p94 (forall @t52 (or @t200 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t47 @t3) @t49)))) % 0.36/1.04 (assume @p95 (forall @t174 (or @t173 @t202))) % 0.36/1.04 (assume @p96 (forall @t55 (or @t172 @t202))) % 0.36/1.04 (assume @p97 (forall @t46 (or @t204 (tptp.c_HOL_Oord__class_Oless @t10 @t49 @t3) @t203 @t162))) % 0.36/1.04 (assume @p98 (forall (@list @t28 @t59 @t3 @t134) (= @t206 @t205))) % 0.36/1.04 (assume @p99 (forall (@list @t28 @t79 @t3 @t81) (= (tptp.c_List_Oappend @t80 @t81 @t3) (tptp.c_List_Olist_OCons @t28 @t207 @t3)))) % 0.36/1.04 (assume @p100 (forall (@list @t3 @t7 @t79) (or @t209 (= @t156 (tptp.hAPP @t8 @t208))))) % 0.36/1.04 (assume @p101 (forall @t155 (or @t210 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t7 @t7 @t3) @t49 @t3))))) % 0.36/1.04 (assume @p102 (forall @t148 (or @t215 @t211))) % 0.36/1.04 (assume @p103 (forall @t26 (or @t126 (not @t215)))) % 0.36/1.04 (assume @p104 (forall @t34 (or (not (= (tptp.hAPP @t29 @t31) @t30)) @t216))) % 0.36/1.04 (assume @p105 (forall @t151 (or (not (= (tptp.hAPP @t24 @t18) @t22)) @t138))) % 0.36/1.04 (assume @p106 (forall @t148 (or (not (= @t217 @t130)) @t138))) % 0.36/1.04 (assume @p107 (forall @t41 (or @t67 @t66 (not (= @t42 @t36)) @t216))) % 0.36/1.04 (assume @p108 (forall @t15 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t3)) @t219 @t218))) % 0.36/1.04 (assume @p109 (forall @t15 (or @t220 @t219 @t218))) % 0.36/1.04 (assume @p110 (forall @t221 (or @t220 (not (= @t125 @t124)) @t218))) % 0.36/1.04 (assume @p111 (forall (@list @t28 @t59 @t134 @t3) (= @t205 @t206))) % 0.36/1.04 (assume @p112 (forall (@list @t28 @t222 @t134 @t3) (= (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t222 @t134 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t28 @t222 @t3) @t134 @t3)))) % 0.36/1.04 (assume @p113 (forall @t63 (not (= @t61 @t223)))) % 0.36/1.04 (assume @p114 (forall (@list @t225 @t224 @t3) (not (= @t226 @t223)))) % 0.36/1.04 (assume @p115 (forall (@list @t28 @t31 @t82 @t81 @t3 @t79) (or @t85 @t227 @t83))) % 0.36/1.04 (assume @p116 (forall @t55 (or @t228 @t133 @t143))) % 0.36/1.04 (assume @p117 (forall @t55 (or @t228 @t152 @t131))) % 0.36/1.04 (assume @p118 (forall @t57 (or @t210 @t232 @t229))) % 0.36/1.04 (assume @p119 (forall @t57 (or @t210 @t232 @t233))) % 0.36/1.04 (assume @p120 (forall (@list @t3 @t7 @t2 @t1 @t69) (or @t43 (= (tptp.hAPP @t11 @t168) (tptp.hAPP @t167 @t234))))) % 0.36/1.04 (assume @p121 (forall (@list @t3 @t23) (or @t235 (not (tptp.c_HOL_Oord__class_Oless @t140 @t49 @t3))))) % 0.36/1.04 (assume @p122 (forall @t240 (or @t210 @t239 @t238 @t237))) % 0.36/1.04 (assume @p123 (forall @t221 (or @t210 @t242 @t241 @t237))) % 0.36/1.04 (assume @p124 (forall @t240 (or @t210 @t239 @t238 @t246))) % 0.36/1.04 (assume @p125 (forall @t221 (or @t210 @t242 @t241 @t246))) % 0.36/1.04 (assume @p126 (forall (@list @t28 @t96 @t3) (not (= (tptp.c_List_Olist_OCons @t28 @t96 @t3) @t96)))) % 0.36/1.04 (assume @p127 (forall (@list @t79 @t28 @t3) (not (= @t79 @t80)))) % 0.36/1.04 (assume @p128 (forall @t102 (or (tptp.c_Type_Otyping @t98 @t96 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t247 @t94 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t100))) % 0.36/1.04 (assume @p129 (forall @t151 (or @t191 @t211 @t190))) % 0.36/1.04 (assume @p130 (forall @t148 (or @t193 @t211 @t190))) % 0.36/1.04 (assume @p131 (forall (@list @t18 @t112 @t117) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t18 @t112 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t18 @t117 tptp.tc_nat) tptp.tc_nat) @t190 @t121))) % 0.36/1.04 (assume @p132 (forall @t120 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t112 @t18 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t117 @t18 tptp.tc_nat) tptp.tc_nat) @t190 @t121))) % 0.36/1.04 (assume @p133 (forall @t26 (or @t126 @t194 @t190))) % 0.36/1.04 (assume @p134 (forall @t221 (or @t210 @t242 @t237 @t248))) % 0.36/1.04 (assume @p135 (forall @t240 (or @t210 @t236 @t249 @t248))) % 0.36/1.04 (assume @p136 (forall @t15 (or @t210 @t241 @t237 @t250))) % 0.36/1.04 (assume @p137 (forall @t240 (or @t210 @t236 @t251 @t250))) % 0.36/1.04 (assume @p138 (forall @t240 (or @t210 @t236 @t248 @t249))) % 0.36/1.04 (assume @p139 (forall @t240 (or @t252 @t236 @t250 @t251))) % 0.36/1.04 (assume @p140 (forall @t253 (or @t210 @t245 @t248 @t249))) % 0.36/1.04 (assume @p141 (forall @t253 (or @t252 @t245 @t250 @t251))) % 0.36/1.04 (assume @p142 (forall @t253 (or @t210 @t245 @t251 @t250))) % 0.36/1.04 (assume @p143 (forall @t253 (or @t210 @t245 @t249 @t248))) % 0.36/1.04 (assume @p144 (forall @t240 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t3)) @t236 @t250 @t251))) % 0.36/1.04 (assume @p145 (forall (@list @t3 @t7 @t23 @t2) (or @t43 (= (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t7 @t23 @t3)) (tptp.c_HOL_Otimes__class_Otimes @t2 @t23 @t3)) (tptp.c_HOL_Otimes__class_Otimes @t10 @t23 @t3))))) % 0.36/1.04 (assume @p146 (forall @t254 (or @t43 (= (tptp.hAPP @t50 @t28) @t28)))) % 0.36/1.04 (assume @p147 (forall @t155 (or @t17 @t255))) % 0.36/1.04 (assume @p148 (forall @t256 (= @t28 (tptp.hAPP @t29 @t47)))) % 0.36/1.04 (assume @p149 (forall @t257 (= (tptp.hAPP @t48 @t19) @t19))) % 0.36/1.04 (assume @p150 (forall @t258 (= (tptp.hAPP @t24 @t47) @t23))) % 0.36/1.04 (assume @p151 (forall @t254 (or @t67 @t66 (= @t28 (tptp.hAPP @t35 @t49))))) % 0.36/1.04 (assume @p152 (forall @t155 (or @t17 @t259))) % 0.36/1.04 (assume @p153 (forall @t155 (or @t209 @t255))) % 0.36/1.04 (assume @p154 (forall @t155 (or @t209 @t259))) % 0.36/1.04 (assume @p155 (forall @t155 (or @t43 @t259))) % 0.36/1.04 (assume @p156 (forall @t155 (or @t43 @t255))) % 0.36/1.04 (assume @p157 (forall @t52 (or @t210 (not (tptp.c_HOL_Oord__class_Oless @t49 @t261 @t3))))) % 0.36/1.04 (assume @p158 (forall @t55 (or @t171 @t262))) % 0.36/1.04 (assume @p159 (forall @t55 (or @t171 @t263))) % 0.36/1.04 (assume @p160 (forall @t155 (or @t51 @t265 (not @t264)))) % 0.36/1.04 (assume @p161 (forall @t155 (or @t51 @t264 @t266))) % 0.36/1.04 (assume @p162 (forall @t174 (or (tptp.c_HOL_Oord__class_Oless @t19 @t53 tptp.tc_nat) @t268 @t267))) % 0.36/1.04 (assume @p163 (forall @t174 (or (tptp.c_HOL_Oord__class_Oless @t19 @t54 tptp.tc_nat) @t268 @t267))) % 0.36/1.04 (assume @p164 (forall @t55 (or @t166 @t152 @t143))) % 0.36/1.04 (assume @p165 (forall @t270 (or @t252 @t269 @t266 (not (tptp.c_HOL_Oord__class_Oless @t49 @t44 @t3))))) % 0.36/1.04 (assume @p166 (forall @t270 (or @t252 @t269 @t266 (not @t271)))) % 0.36/1.04 (assume @p167 (forall @t46 (or @t252 @t271 @t272 @t266))) % 0.36/1.04 (assume @p168 (forall @t46 (or @t210 @t271 @t203 @t162))) % 0.36/1.04 (assume @p169 (forall @t55 (or @t201 @t262 @t263))) % 0.36/1.04 (assume @p170 (forall (@list @t3 @t28 @t134) (or @t209 (= (tptp.hAPP @t35 (tptp.c_List_Ofoldl @t4 @t49 @t134 @t3 @t3)) (tptp.c_List_Ofoldl @t4 @t28 @t134 @t3 @t3))))) % 0.36/1.04 (assume @p171 (forall @t55 (= (tptp.c_HOL_Otimes__class_Otimes @t23 @t108 tptp.tc_nat) (tptp.hAPP @t24 @t54)))) % 0.36/1.04 (assume @p172 (forall @t55 (= (tptp.c_HOL_Otimes__class_Otimes @t110 @t19 tptp.tc_nat) (tptp.hAPP @t21 @t54)))) % 0.36/1.04 (assume @p173 (forall @t57 (or @t210 (not (tptp.c_HOL_Oord__class_Oless @t231 @t49 @t3))))) % 0.36/1.04 (assume @p174 (forall @t141 (or @t200 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t54 @t3) (tptp.c_HOL_Otimes__class_Otimes @t140 @t139 @t3))))) % 0.36/1.04 (assume @p175 (forall (@list @t3 @t273 @t31 @t28 @t27) (or @t67 @t66 (not (= (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t273 @t31 @t3)) @t64) (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t273 @t27 @t3)) @t56))) @t216 @t274))) % 0.36/1.04 (assume @p176 (forall @t278 (or @t67 @t66 (not (= (tptp.hAPP @t277 (tptp.c_HOL_Otimes__class_Otimes @t2 @t69 @t3)) (tptp.hAPP (tptp.hAPP @t4 (tptp.c_HOL_Otimes__class_Otimes @t7 @t69 @t3)) @t243))) @t276 @t275))) % 0.36/1.04 (assume @p177 (forall (@list @t7 @t1 @t2 @t69) (or (not (= (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t7 @t1 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t2 @t69 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t7 @t69 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 tptp.tc_nat)))) @t276 @t275))) % 0.36/1.04 (assume @p178 (forall (@list @t273 @t31 @t28 @t27) (or (not (= (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t273 @t31 tptp.tc_nat)) @t74) (tptp.hAPP (tptp.hAPP @t20 (tptp.c_HOL_Otimes__class_Otimes @t273 @t27 tptp.tc_nat)) @t73))) @t216 @t274))) % 0.36/1.04 (assume @p179 (forall @t52 (= @t279 @t47))) % 0.36/1.04 (assume @p180 (forall @t52 (= (tptp.c_Predicate_Oconversep @t280 @t3 @t3) @t280))) % 0.36/1.04 (assume @p181 (= (tptp.c_HOL_Otimes__class_Otimes @t75 @t75 tptp.tc_nat) @t75)) % 0.36/1.04 (assume @p182 (forall @t289 (or @t43 (= @t288 (tptp.c_HOL_Otimes__class_Otimes @t285 (tptp.c_HOL_Otimes__class_Otimes @t282 @t281 @t3) @t3))))) % 0.36/1.04 (assume @p183 (forall @t289 (or @t43 (= @t288 (tptp.c_HOL_Otimes__class_Otimes @t284 (tptp.c_HOL_Otimes__class_Otimes @t282 @t286 @t3) @t3))))) % 0.36/1.04 (assume @p184 (forall @t289 (or @t43 (= @t288 (tptp.c_HOL_Otimes__class_Otimes @t283 (tptp.c_HOL_Otimes__class_Otimes @t287 @t281 @t3) @t3))))) % 0.36/1.04 (assume @p185 (forall @t155 (or @t43 @t290))) % 0.36/1.04 (assume @p186 (forall @t155 (or @t43 @t291))) % 0.36/1.04 (assume @p187 (forall @t155 (or @t159 @t291))) % 0.36/1.04 (assume @p188 (forall (@list @t3 @t2) (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t2 @t3) @t49)))) % 0.36/1.04 (assume @p189 (forall @t155 (or @t292 @t291))) % 0.36/1.04 (assume @p190 (forall @t155 (or @t292 @t290))) % 0.36/1.04 (assume @p191 (forall @t257 (= @t293 @t47))) % 0.36/1.04 (assume @p192 (forall @t258 (= @t294 @t47))) % 0.36/1.04 (assume @p193 (forall @t254 (or @t43 (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t28 @t3) @t49)))) % 0.36/1.04 (assume @p194 (= @t75 @t76)) % 0.36/1.04 (assume @p195 (forall @t296 (= (tptp.c_Nat_Osize__class_Osize @t207 @t58) (tptp.hAPP (tptp.hAPP @t20 @t295) (tptp.c_Nat_Osize__class_Osize @t81 @t58))))) % 0.36/1.04 (assume @p196 (forall @t46 (or @t204 (tptp.c_HOL_Oord__class_Oless @t49 @t10 @t3) @t272 @t266))) % 0.36/1.04 (assume @p197 (forall @t298 (or @t297 @t84 @t83))) % 0.36/1.04 (assume @p198 (forall @t278 (or @t299 (tptp.c_HOL_Oord__class_Oless @t16 @t234 @t3) (not (tptp.c_HOL_Oord__class_Oless @t1 @t69 @t3)) @t251))) % 0.36/1.04 (assume @p199 (forall (@list @t112 @t18 @t117 @t127) (or (tptp.c_HOL_Oord__class_Oless @t300 (tptp.hAPP @t122 @t127) tptp.tc_nat) @t128 @t121))) % 0.36/1.04 (assume @p200 (forall (@list @t3 @t225 @t224) (not (= @t223 @t226)))) % 0.36/1.04 (assume @p201 (forall @t141 (or @t235 @t301 @t211))) % 0.36/1.04 (assume @p202 (forall @t141 (or @t235 @t126 (not @t301)))) % 0.36/1.04 (assume @p203 (forall (@list @t3 @t79) (or @t209 (= (tptp.c_List_Ofoldl @t4 @t49 @t79 @t3 @t3) @t208)))) % 0.36/1.04 (assume @p204 (forall @t26 (or @t126 @t194))) % 0.36/1.04 (assume @p205 (forall @t26 (or @t126 @t192))) % 0.36/1.04 (assume @p206 (forall @t57 (or @t302 (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t56 @t3) @t56)))) % 0.36/1.04 (assume @p207 (forall @t270 (or @t252 (tptp.c_HOL_Oord__class_Oless @t44 @t49 @t3) @t203 @t266))) % 0.36/1.04 (assume @p208 (forall @t46 (or @t252 @t303 @t203 @t266))) % 0.36/1.04 (assume @p209 (forall @t46 (or @t252 @t303 @t272 @t162))) % 0.36/1.04 (assume @p210 (forall @t305 (or (not (= @t295 @t47)) @t304))) % 0.36/1.04 (assume @p211 (forall @t221 (or @t235 (tptp.c_HOL_Oord__class_Oless @t2 @t16 @t3) (not (tptp.c_HOL_Oord__class_Oless @t2 @t1 @t3)) @t266))) % 0.36/1.04 (assume @p212 (forall (@list @t136 @t28 @t79 @t135 @t7 @t3) (= (tptp.c_List_Ofoldr @t136 @t195 @t7 @t135 @t3) (tptp.hAPP (tptp.hAPP @t136 @t28) (tptp.c_List_Ofoldr @t136 @t79 @t7 @t135 @t3))))) % 0.36/1.04 (assume @p213 (forall (@list @t82 @t3 @t135) (= (tptp.c_Predicate_Oconversep @t176 @t135 @t3) @t82))) % 0.36/1.04 (assume @p214 (forall @t55 (= (tptp.c_HOL_Otimes__class_Otimes @t47 @t23 tptp.tc_nat) @t293))) % 0.36/1.04 (assume @p215 (forall @t55 (= @t294 (tptp.c_HOL_Otimes__class_Otimes @t19 @t47 tptp.tc_nat)))) % 0.36/1.04 (assume @p216 (forall (@list @t112 @t117) (not (tptp.c_HOL_Oord__class_Oless @t118 @t112 tptp.tc_nat)))) % 0.36/1.04 (assume @p217 (forall (@list @t117 @t112) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t122 @t112) @t112 tptp.tc_nat)))) % 0.36/1.04 (assume @p218 (forall (@list @t3 @t28 @t82 @t1 @t69) (or @t67 @t66 (not (= (tptp.hAPP @t35 (tptp.c_HOL_Otimes__class_Otimes @t82 @t1 @t3)) (tptp.hAPP @t35 (tptp.c_HOL_Otimes__class_Otimes @t82 @t69 @t3)))) @t276 (= @t82 @t49)))) % 0.36/1.04 (assume @p219 (forall (@list @t28 @t82 @t1 @t69) (or (not (= (tptp.hAPP @t29 (tptp.c_HOL_Otimes__class_Otimes @t82 @t1 tptp.tc_nat)) (tptp.hAPP @t29 (tptp.c_HOL_Otimes__class_Otimes @t82 @t69 tptp.tc_nat)))) @t276 (= @t82 @t47)))) % 0.36/1.04 (assume @p220 (forall @t57 (or @t210 @t306 @t233))) % 0.36/1.04 (assume @p221 (forall @t57 (or @t210 @t306 @t229))) % 0.36/1.04 (assume @p222 (forall @t253 (or @t299 @t307 @t251))) % 0.36/1.04 (assume @p223 (forall @t253 (or @t308 @t307 @t251))) % 0.36/1.04 (assume @p224 (forall @t15 (or @t308 @t241 (not @t307)))) % 0.36/1.04 (assume @p225 (forall @t240 (or @t299 @t309 @t251))) % 0.36/1.04 (assume @p226 (forall @t240 (or @t308 @t309 @t251))) % 0.36/1.04 (assume @p227 (forall @t15 (or @t308 @t241 (not @t309)))) % 0.36/1.04 (assume @p228 (forall @t120 (or (tptp.c_HOL_Oord__class_Oless @t300 (tptp.hAPP @t122 @t18) tptp.tc_nat) @t121))) % 0.36/1.04 (assume @p229 (forall @t26 (or @t126 (not @t310)))) % 0.36/1.04 (assume @p230 (forall @t148 (or @t310 @t211))) % 0.36/1.04 (assume @p231 (forall @t312 (or @t311 (= @t7 @t225)))) % 0.36/1.04 (assume @p232 (forall @t312 (or @t311 (= @t77 @t224)))) % 0.36/1.04 (assume @p233 (forall @t298 (or @t297 @t227 @t83))) % 0.36/1.04 (assume @p234 (forall (@list @t82 @t28 @t81 @t3 @t79) (or (tptp.c_ListOrder_Ostep1 @t82 (tptp.c_List_Olist_OCons @t28 @t81 @t3) @t80 @t3) @t313))) % 0.36/1.04 (assume @p235 (= @t188 @t75)) % 0.36/1.04 (assume @p236 (forall @t254 (or @t302 (= @t230 @t28)))) % 0.36/1.04 (assume @p237 (forall @t52 (or @t210 (= @t261 @t49)))) % 0.36/1.04 (assume @p238 (forall @t240 (or @t210 @t239 @t241 @t246))) % 0.36/1.04 (assume @p239 (forall @t221 (or @t210 @t242 @t238 @t246))) % 0.36/1.04 (assume @p240 (forall @t240 (or @t210 @t239 @t241 @t237))) % 0.36/1.04 (assume @p241 (forall @t221 (or @t210 @t242 @t238 @t237))) % 0.36/1.04 (assume @p242 (forall @t148 (or (not (= @t214 @t213)) @t138))) % 0.36/1.04 (assume @p243 (forall @t141 (or @t200 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t25 @t3) (tptp.hAPP (tptp.hAPP @t4 @t140) @t139))))) % 0.36/1.04 (assume @p244 (forall @t55 (or @t228 @t133 @t131))) % 0.36/1.04 (assume @p245 (forall @t55 (or @t228 @t152 @t143))) % 0.36/1.04 (assume @p246 (forall @t15 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t3)) (= (tptp.c_HOL_Otimes__class_Otimes @t45 @t1 @t3) (tptp.c_HOL_Otimes__class_Otimes @t7 @t243 @t3))))) % 0.36/1.04 (assume @p247 (forall @t315 (or @t43 (= @t314 (tptp.c_HOL_Otimes__class_Otimes @t285 @t282 @t3))))) % 0.36/1.04 (assume @p248 (forall @t315 (or @t43 (= @t314 (tptp.c_HOL_Otimes__class_Otimes @t284 (tptp.c_HOL_Otimes__class_Otimes @t282 @t283 @t3) @t3))))) % 0.36/1.04 (assume @p249 (forall @t317 (or @t43 (= @t316 (tptp.c_HOL_Otimes__class_Otimes @t285 @t281 @t3))))) % 0.36/1.04 (assume @p250 (forall @t317 (or @t43 (= @t316 (tptp.c_HOL_Otimes__class_Otimes @t283 (tptp.c_HOL_Otimes__class_Otimes @t284 @t281 @t3) @t3))))) % 0.36/1.04 (assume @p251 (forall @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t54 @t18 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t23 @t149 tptp.tc_nat)))) % 0.36/1.04 (assume @p252 (forall @t41 (or @t43 (= (tptp.c_HOL_Otimes__class_Otimes @t28 (tptp.c_HOL_Otimes__class_Otimes @t31 @t27 @t3) @t3) (tptp.c_HOL_Otimes__class_Otimes @t56 @t27 @t3))))) % 0.36/1.04 (assume @p253 (forall @t15 (or @t43 @t318))) % 0.36/1.04 (assume @p254 (forall @t15 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t3)) @t318))) % 0.36/1.04 (assume @p255 (forall @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t25 @t18 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t20 @t150) @t149)))) % 0.36/1.04 (assume @p256 (forall @t148 (= (tptp.c_HOL_Otimes__class_Otimes @t18 @t25 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t20 @t146) @t145)))) % 0.36/1.04 (assume @p257 (forall @t41 (or @t43 (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t38 @t3) @t65)))) % 0.36/1.04 (assume @p258 (forall (@list @t82 @t31 @t3 @t7) (or (tptp.c_Wellfounded_Oaccp @t82 @t31 @t3) (not (tptp.hBOOL (tptp.hAPP @t86 @t7))) @t88))) % 0.36/1.04 (assume @p259 (forall (@list @t82 @t7 @t3 @t2) (or @t87 @t175 (not @t92)))) % 0.36/1.04 (assume @p260 (forall (@list @t28 @t79 @t3) (= @t80 @t319))) % 0.36/1.04 (assume @p261 (forall (@list @t3 @t28 @t79) (= @t319 @t80))) % 0.36/1.04 (assume @p262 (forall @t323 (or @t322 @t84))) % 0.36/1.04 (assume @p263 (forall @t323 (or @t322 @t85))) % 0.36/1.04 (assume @p264 (forall @t55 (or (tptp.c_HOL_Oord__class_Oless @t75 @t54 tptp.tc_nat) @t268 @t267))) % 0.36/1.04 (assume @p265 (forall @t305 (or (tptp.c_HOL_Oord__class_Oless @t47 @t295 tptp.tc_nat) @t304))) % 0.36/1.04 (assume @p266 (forall @t52 (not (tptp.c_HOL_Oord__class_Oless @t47 @t279 tptp.tc_nat)))) % 0.36/1.04 (assume @p267 (forall @t329 (or (not (tptp.c_Wellfounded_Oaccp @t104 @t328 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t104 @t325 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t104 @t327 tptp.tc_Lambda_OdB)))) % 0.36/1.04 (assume @p268 (forall (@list @t81 @t79 @t31 @t28 @t82 @t3) (or @t332 @t331 @t330))) % 0.36/1.04 (assume @p269 (forall (@list @t82 @t31 @t28 @t81 @t3 @t79) (or @t227 @t331 @t330))) % 0.36/1.04 (assume @p270 (forall (@list @t82 @t31 @t28 @t81 @t79 @t3) (or @t227 @t297 @t330))) % 0.36/1.04 (assume @p271 (forall (@list @t81 @t79 @t82 @t3 @t31 @t28) (or @t332 @t297 @t330))) % 0.36/1.04 (assume @p272 (forall @t335 (or (= @t334 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t113 @t19))) @t119))) % 0.36/1.04 (assume @p273 (forall @t337 (or @t235 @t173 (not @t336)))) % 0.36/1.04 (assume @p274 (forall @t337 (or @t235 @t336 @t262))) % 0.36/1.04 (assume @p275 (forall @t338 (or (tptp.c_Type_Otypings @t98 @t95 @t247) @t100))) % 0.36/1.04 (assume @p276 (forall @t338 (or (tptp.c_Type_Otypings @t98 @t95 @t101) @t100))) % 0.36/1.04 (assume @p277 (forall (@list @t98 @t96 @t95 @t94 @t339) (or @t99 @t340 (not (tptp.c_Type_Otyping @t98 @t96 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t339 @t94 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.36/1.04 (assume @p278 (forall @t349 (or @t348 (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_List_Olist_OCons @t347 @t346 tptp.t_a)))) @t345 @t343))) % 0.36/1.04 (assume @p279 (forall @t349 (or @t348 (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_List_Olist_OCons @t351 @t350 tptp.t_a)))) @t345 @t343))) % 0.36/1.04 (assume @p280 (forall (@list @t98 @t112 @t94 @t95) (or (tptp.c_Type_Otyping @t98 @t333 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t354 @t94 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t353))) % 0.36/1.04 (assume @p281 (forall (@list @t357 @t94 @t98 @t355 @t112 @t95 @t339) (or (= @t357 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t359 @t94 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t358 @t340 @t356))) % 0.36/1.04 (assume @p282 (forall @t349 (or @t348 (tptp.hBOOL (tptp.hAPP @t342 @t350)) @t345 @t343))) % 0.36/1.04 (assume @p283 (forall @t349 (or @t348 (tptp.hBOOL (tptp.hAPP @t342 @t346)) @t345 @t343))) % 0.36/1.04 (assume @p284 (forall (@list @t361 @t19 @t360) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t361 @t365 tptp.tc_Lambda_OdB) @t364))) % 0.36/1.04 (assume @p285 (forall @t369 (or @t368 @t367))) % 0.36/1.04 (assume @p286 (forall @t372 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t371) @t370)) @t367))) % 0.36/1.04 (assume @p287 (forall @t369 (or @t368 @t373))) % 0.36/1.04 (assume @p288 (forall (@list @t325 @t374) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t376) (tptp.c_Lambda_OdB_OAbs @t374))) @t375))) % 0.36/1.04 (assume @p289 (forall (@list @t325 @t96 @t377) (or (tptp.hBOOL (tptp.hAPP @t381 (tptp.hAPP @t379 @t377))) @t378))) % 0.36/1.04 (assume @p290 (forall (@list @t325 @t96 @t374) (or (tptp.hBOOL (tptp.hAPP @t381 (tptp.hAPP @t382 @t96))) @t375))) % 0.36/1.04 (assume @p291 (forall (@list @t325 @t96 @t374 @t377) (or (tptp.hBOOL (tptp.hAPP @t381 (tptp.hAPP @t382 @t377))) @t378 @t375))) % 0.36/1.04 (assume @p292 (forall @t385 (or @t384 (= (tptp.c_Lambda_Osubstn @t383 @t325 @t28) (tptp.c_Lambda_Oliftn @t28 @t325 @t47))))) % 0.36/1.04 (assume @p293 (forall @t270 (or @t386 @t249 @t251))) % 0.36/1.04 (assume @p294 (forall @t391 (or @t386 @t390 @t388))) % 0.36/1.04 (assume @p295 (forall @t57 (or @t392 @t388 @t390))) % 0.36/1.04 (assume @p296 (forall @t395 (or @t394 (not (tptp.hBOOL (tptp.hAPP @t179 @t1))) (not (tptp.hBOOL (tptp.hAPP @t393 @t2)))))) % 0.36/1.04 (assume @p297 (forall @t395 (or @t394 (not (tptp.hBOOL (tptp.hAPP @t90 @t1))) @t175))) % 0.36/1.04 (assume @p298 (forall @t46 (or @t396 @t251 @t249))) % 0.36/1.04 (assume @p299 (forall @t55 (or @t397 @t211))) % 0.36/1.04 (assume @p300 (forall @t55 (or @t126 (not @t398)))) % 0.36/1.04 (assume @p301 (forall @t257 (not (= @t19 @t108)))) % 0.36/1.04 (assume @p302 (forall @t257 (not (= @t108 @t19)))) % 0.36/1.04 (assume @p303 (forall @t404 (or @t403 (= @t400 @t399)))) % 0.36/1.04 (assume @p304 (forall @t404 (or @t403 (= @t402 @t401)))) % 0.36/1.04 (assume @p305 (forall (@list @t98 @t112 @t94 @t3 @t117) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t98 @t112 @t94 @t3) @t117) (tptp.hAPP @t98 @t117)) @t405))) % 0.36/1.04 (assume @p306 (not (tptp.c_HOL_Oord__class_Oless @t47 @t47 tptp.tc_nat))) % 0.36/1.04 (assume @p307 (forall (@list @t96 @t18) (= (tptp.c_Lambda_Oliftn @t47 @t96 @t18) @t96))) % 0.36/1.04 (assume @p308 (forall @t257 (or @t173 @t143))) % 0.36/1.04 (assume @p309 (forall @t120 (or (tptp.c_HOL_Oord__class_Oless @t406 @t18 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t117 @t18 tptp.tc_nat)) @t121))) % 0.36/1.04 (assume @p310 (forall @t256 @t408)) % 0.36/1.04 (assume @p311 (forall @t257 (tptp.c_HOL_Oord__class_Oless @t19 @t108 tptp.tc_nat))) % 0.36/1.04 (assume @p312 (forall @t258 (not (= @t110 @t47)))) % 0.36/1.04 (assume @p313 (forall @t411 (not (= @t410 @t47)))) % 0.36/1.04 (assume @p314 (forall @t414 (or @t413 @t412 (not (tptp.c_HOL_Oord__class_Oless @t7 @t28 @t3))))) % 0.36/1.04 (assume @p315 (forall @t414 (or @t413 @t412 (not (tptp.c_HOL_Oord__class_Oless @t2 @t28 @t3))))) % 0.36/1.04 (assume @p316 (forall @t57 (or @t392 @t85 @t387 @t389))) % 0.36/1.04 (assume @p317 (forall @t391 (or @t392 @t389 @t85 @t387))) % 0.36/1.04 (assume @p318 (forall @t391 (or @t392 @t389 @t387 @t85))) % 0.36/1.04 (assume @p319 (forall (@list @t31 @t28) (or (tptp.c_HOL_Oord__class_Oless @t31 @t28 tptp.tc_nat) @t115 @t85))) % 0.36/1.04 (assume @p320 (forall (@list @t344 @t19 @t23) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t344 @t19) @t23)) @t415 @t138 @t126))) % 0.36/1.04 (assume @p321 (forall @t174 (or @t415 @t126 @t138))) % 0.36/1.04 (assume @p322 (forall @t57 (or @t392 @t85 @t389 @t387))) % 0.36/1.04 (assume @p323 (forall @t391 (or @t165 @t389 @t387 @t85))) % 0.36/1.04 (assume @p324 (forall @t254 (or @t386 @t416))) % 0.36/1.04 (assume @p325 (forall @t254 (or @t392 @t416))) % 0.36/1.04 (assume @p326 (forall @t254 (or @t396 @t416))) % 0.36/1.04 (assume @p327 (forall @t257 (not (tptp.c_HOL_Oord__class_Oless @t19 @t19 tptp.tc_nat)))) % 0.36/1.04 (assume @p328 (forall @t256 (not @t384))) % 0.36/1.04 (assume @p329 (forall @t174 (or (= @t19 @t23) @t418 @t415))) % 0.36/1.04 (assume @p330 (forall @t55 (or @t138 @t418 @t415))) % 0.36/1.04 (assume @p331 (forall @t55 (or @t138 @t126 (not @t397)))) % 0.36/1.04 (assume @p332 (forall (@list @t98 @t28 @t94 @t3) (= (tptp.hAPP (tptp.c_Type_Oshift @t98 @t28 @t94 @t3) @t28) @t94))) % 0.36/1.04 (assume @p333 (forall (@list @t419 @t96 @t94 @t357) (or (tptp.c_Type_Otyping @t419 @t421 @t420) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t419 @t47 @t94 tptp.tc_Type_Otype) @t96 @t357))))) % 0.36/1.04 (assume @p334 (tptp.c_HOL_Oord__class_Oless @t47 @t75 tptp.tc_nat)) % 0.36/1.04 (assume @p335 (forall (@list @t82 @t79 @t3) (not (tptp.c_ListOrder_Ostep1 @t82 @t79 @t223 @t3)))) % 0.36/1.04 (assume @p336 (forall (@list @t82 @t3 @t79) (not (tptp.c_ListOrder_Ostep1 @t82 @t223 @t79 @t3)))) % 0.36/1.04 (assume @p337 (forall @t199 (or @t423 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t28) @t31)))))) % 0.36/1.04 (assume @p338 (forall @t426 (or (not (= (tptp.c_Suc @t424) @t410)) @t425))) % 0.36/1.04 (assume @p339 (forall (@list @t28 @t31) (or (not (= @t407 (tptp.c_Suc @t31))) @t85))) % 0.36/1.04 (assume @p340 (forall (@list @t98 @t112 @t357 @t3 @t94) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t98 @t112 @t357 @t3) @t47 @t94 @t3) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t98 @t47 @t94 @t3) @t406 @t357 @t3)))) % 0.36/1.04 (assume @p341 (forall @t258 (not (= @t47 @t110)))) % 0.36/1.04 (assume @p342 (forall @t411 (not (= @t47 @t410)))) % 0.36/1.04 (assume @p343 (forall (@list @t82 @t3 @t28 @t27 @t31) (or (tptp.hBOOL (tptp.hAPP @t422 @t27)) (not (tptp.hBOOL (tptp.hAPP @t197 @t27))) (not @t423)))) % 0.36/1.04 (assume @p344 (forall (@list @t82 @t3 @t28) (tptp.hBOOL (tptp.hAPP @t422 @t28)))) % 0.36/1.04 (assume @p345 (forall (@list @t82 @t3 @t7) (tptp.hBOOL (tptp.hAPP @t393 @t7)))) % 0.36/1.04 (assume @p346 (forall @t257 (or @t143 (not (tptp.c_HOL_Oord__class_Oless @t19 @t75 tptp.tc_nat))))) % 0.36/1.04 (assume @p347 (forall (@list @t82 @t28 @t427 @t3 @t355) (or (tptp.c_ListOrder_Ostep1 @t82 (tptp.c_List_Oappend @t28 @t427 @t3) (tptp.c_List_Oappend @t28 @t355 @t3) @t3) (not (tptp.c_ListOrder_Ostep1 @t82 @t427 @t355 @t3))))) % 0.36/1.04 (assume @p348 (forall (@list @t82 @t81 @t79 @t3 @t28) (or @t313 (tptp.c_ListOrder_Ostep1 @t82 (tptp.c_List_Oappend @t81 @t28 @t3) @t428 @t3)))) % 0.36/1.04 (assume @p349 (forall (@list @t3 @t28 @t27 @t31) (or @t386 (tptp.c_HOL_Oord__class_Oless @t28 @t27 @t3) (not (tptp.c_HOL_Oord__class_Oless @t31 @t27 @t3)) @t388))) % 0.36/1.04 (assume @p350 (forall (@list @t3 @t27 @t28 @t31) (or @t396 (tptp.c_HOL_Oord__class_Oless @t27 @t28 @t3) (not (tptp.c_HOL_Oord__class_Oless @t27 @t31 @t3)) @t390))) % 0.36/1.04 (assume @p351 (forall @t258 (not (tptp.c_HOL_Oord__class_Oless @t23 @t47 tptp.tc_nat)))) % 0.36/1.04 (assume @p352 (forall @t257 (not (tptp.c_HOL_Oord__class_Oless @t19 @t47 tptp.tc_nat)))) % 0.36/1.04 (assume @p353 (forall @t257 (tptp.c_HOL_Oord__class_Oless @t47 @t108 tptp.tc_nat))) % 0.36/1.04 (assume @p354 (forall @t256 (tptp.c_HOL_Oord__class_Oless @t47 @t407 tptp.tc_nat))) % 0.36/1.04 (assume @p355 (forall @t55 (or @t398 (= @t110 @t19) @t211))) % 0.36/1.04 (assume @p356 (forall @t256 (or @t384 @t408))) % 0.36/1.04 (assume @p357 (forall @t55 (or @t211 @t418))) % 0.36/1.04 (assume @p358 (forall @t174 (or @t417 @t126))) % 0.36/1.04 (assume @p359 (forall (@list @t82 @t3) (= (tptp.c_Transitive__Closure_Ortranclp @t89 @t3) @t89))) % 0.36/1.04 (assume @p360 (forall (@list @t98 @t96 @t94 @t182) (or (tptp.c_Type_Otyping @t98 @t96 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t431) @t94)) @t430))) % 0.36/1.04 (assume @p361 (forall (@list @t28 @t19) (or (tptp.c_HOL_Oord__class_Oless @t407 @t108 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t28 @t19 tptp.tc_nat))))) % 0.36/1.04 (assume @p362 (forall @t55 (or @t126 (not @t432)))) % 0.36/1.04 (assume @p363 (forall @t55 (or @t432 @t211))) % 0.36/1.04 (assume @p364 (forall @t349 (or @t348 (tptp.hBOOL (tptp.hAPP @t344 @t346)) @t345 @t343))) % 0.36/1.04 (assume @p365 (forall @t349 (or @t348 (tptp.hBOOL (tptp.hAPP @t341 @t347)) @t345 @t343))) % 0.36/1.04 (assume @p366 (forall @t349 (or @t348 (tptp.hBOOL (tptp.hAPP @t344 @t350)) @t345 @t343))) % 0.36/1.04 (assume @p367 (forall @t349 (or @t348 (tptp.hBOOL (tptp.hAPP @t341 @t351)) @t345 @t343))) % 0.36/1.04 (assume @p368 (forall (@list @t98 @t182 @t94 @t96) (or (tptp.c_Type_Otyping @t98 @t182 @t431) @t430))) % 0.36/1.04 (assume @p369 (forall (@list @t419 @t325 @t96 @t357 @t94) (or (tptp.c_Type_Otyping @t419 @t380 @t357) (not (tptp.c_Type_Otyping @t419 @t96 @t94)) (not (tptp.c_Type_Otyping @t419 @t325 @t420))))) % 0.36/1.04 (assume @p370 (forall @t385 (or @t384 (= (tptp.c_Lambda_Osubst @t383 @t325 @t28) @t325)))) % 0.36/1.04 (assume @p371 (forall @t435 (or (= (tptp.c_Lambda_Osubst @t333 @t325 @t18) @t333) @t434 @t433))) % 0.36/1.04 (assume @p372 (forall (@list @t117 @t182 @t112) (or (= (tptp.c_Lambda_Osubst @t436 @t182 @t112) @t436) @t405))) % 0.36/1.04 (assume @p373 (forall (@list @t98 @t355 @t94 @t357 @t112 @t95 @t339) (or (tptp.c_Type_Otypings @t98 @t355 @t359) @t358 @t340 @t356))) % 0.36/1.04 (assume @p374 (forall (@list @t98 @t95 @t94 @t112) (or (tptp.c_Type_Otypings @t98 @t95 @t354) @t353))) % 0.36/1.04 (assume @p375 (forall @t443 (= @t442 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t439 @t438 (tptp.tc_fun @t58 tptp.tc_bool))))) % 0.36/1.04 (assume @p376 (forall @t446 (or @t445 @t444 @t378))) % 0.36/1.04 (assume @p377 (forall (@list @t447 @t182 @t357 @t112 @t96 @t94) (or (not (tptp.c_Type_Otyping @t447 @t182 @t357)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t447 @t112 @t357 tptp.tc_Type_Otype) @t96 @t94)) (tptp.c_Type_Otyping @t447 (tptp.c_Lambda_Osubst @t96 @t182 @t112) @t94)))) % 0.36/1.04 (assume @p378 (forall @t450 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t449) @t448)) @t367))) % 0.36/1.04 (assume @p379 (forall (@list @t112 @t18) (or (= (tptp.c_Lambda_Olift @t333 @t18) @t333) @t451))) % 0.36/1.04 (assume @p380 (forall (@list @t98 @t112 @t357 @t96 @t94) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t98 @t112 @t357 tptp.tc_Type_Otype) @t452 @t94) @t444))) % 0.36/1.04 (assume @p381 (forall @t462 (or @t461 @t457 @t455 @t453))) % 0.36/1.04 (assume @p382 (forall @t335 (or (= @t334 @t333) @t451))) % 0.36/1.04 (assume @p383 (forall (@list @t96 @t325) (= (tptp.c_Lambda_Osubstn @t96 @t325 @t47) (tptp.c_Lambda_Osubst @t96 @t325 @t47)))) % 0.36/1.04 (assume @p384 (forall @t435 (or (= (tptp.c_Lambda_Osubstn @t333 @t325 @t18) @t333) @t434 @t433))) % 0.36/1.04 (assume @p385 (forall (@list @t19 @t96 @t18) (= (tptp.c_Lambda_Oliftn @t108 @t96 @t18) (tptp.c_Lambda_Olift @t463 @t18)))) % 0.36/1.04 (assume @p386 (forall @t462 (or @t461 @t464 @t455 @t453))) % 0.36/1.04 (assume @p387 (forall (@list @t82 @t361 @t324) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t361 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t465)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t361 @t324 tptp.tc_Lambda_OdB))))) % 0.36/1.04 (assume @p388 (forall @t467 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t465) @t466)) @t367))) % 0.36/1.04 (assume @p389 (forall @t462 (or @t468 @t457 @t455 @t453))) % 0.36/1.04 (assume @p390 (forall @t462 (or @t468 @t464 @t455 @t453))) % 0.36/1.04 (assume @p391 (forall @t462 (or @t461 @t457 @t470 @t453))) % 0.36/1.04 (assume @p392 (forall (@list @t82 @t325 @t96 @t95) (or (not (= @t472 @t97)) (= @t82 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t96 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t82 @t325 @t96 @t95) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t95 @t471)))) % 0.36/1.04 (assume @p393 (forall @t462 (or @t461 @t464 @t470 @t453))) % 0.36/1.04 (assume @p394 (forall (@list @t96 @t325 @t19) (= (tptp.c_Lambda_Osubstn @t96 @t325 @t19) (tptp.c_Lambda_Osubst @t96 (tptp.c_Lambda_Oliftn @t19 @t325 @t47) @t19)))) % 0.36/1.04 (assume @p395 (forall @t474 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t473) (tptp.c_Lambda_Osubst @t325 @t96 @t47))))) % 0.36/1.04 (assume @p396 (forall (@list @t360 @t19 @t361) (or (= @t360 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t362 @t365 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t364))) % 0.36/1.04 (assume @p397 (forall @t462 (or @t468 @t464 @t470 @t453))) % 0.36/1.04 (assume @p398 (forall @t462 (or @t468 @t457 @t470 @t453))) % 0.36/1.04 (assume @p399 (forall @t329 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t327)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t325))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t328)))))) % 0.36/1.04 (assume @p400 (forall @t462 (or @t475 @t457 @t455 @t453))) % 0.36/1.04 (assume @p401 (forall @t462 (or @t475 @t464 @t455 @t453))) % 0.36/1.04 (assume @p402 (forall (@list @t136 @t7 @t79 @t81 @t135 @t3) (= (tptp.c_List_Ofoldl @t136 @t7 @t137 @t3 @t135) (tptp.c_List_Ofoldl @t136 (tptp.c_List_Ofoldl @t136 @t7 @t79 @t3 @t135) @t81 @t3 @t135)))) % 0.36/1.04 (assume @p403 (forall @t474 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t376) @t421)) @t476))) % 0.36/1.04 (assume @p404 (forall (@list @t341 @t28 @t437 @t3) (or @t479 @t478))) % 0.36/1.04 (assume @p405 (forall (@list @t437 @t28 @t341 @t3) (or @t480 @t478))) % 0.36/1.04 (assume @p406 (forall @t52 (= @t223 @t481))) % 0.36/1.04 (assume @p407 (forall @t450 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t449) @t448)) @t373))) % 0.36/1.04 (assume @p408 (forall @t106 (= @t482 @t326))) % 0.36/1.04 (assume @p409 (forall (@list @t96 @t18 @t325) (= (tptp.c_Lambda_Osubst @t483 @t325 @t18) @t96))) % 0.36/1.04 (assume @p410 (forall @t486 (or @t485 @t484))) % 0.36/1.04 (assume @p411 (forall @t329 (or @t487 (= @t326 @t325)))) % 0.36/1.04 (assume @p412 (forall @t106 (= @t326 @t482))) % 0.36/1.04 (assume @p413 (forall @t57 (or @t490 @t489))) % 0.36/1.04 (assume @p414 (forall @t57 (or @t413 @t489))) % 0.36/1.04 (assume @p415 (forall @t443 (= @t441 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t437 @t341 @t440)))) % 0.36/1.04 (assume @p416 (forall @t497 (= (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 @t494 @t3) @t493))) % 0.36/1.04 (assume @p417 (forall @t372 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t371) @t370)) @t373))) % 0.36/1.04 (assume @p418 (forall (@list @t81 @t79 @t3 @t134) (or (not (= (tptp.c_List_Oappend @t81 @t79 @t3) (tptp.c_List_Oappend @t134 @t79 @t3))) @t498))) % 0.36/1.04 (assume @p419 (forall @t499 (or (not (= @t207 (tptp.c_List_Oappend @t79 @t134 @t3))) @t498))) % 0.36/1.04 (assume @p420 (forall @t462 (or @t475 @t464 @t470 @t453))) % 0.36/1.04 (assume @p421 (forall @t305 (= @t500 @t79))) % 0.36/1.04 (assume @p422 (forall (@list @t28 @t3) (= @t28 (tptp.c_List_Oappend @t223 @t28 @t3)))) % 0.36/1.04 (assume @p423 (forall @t305 (= @t79 @t500))) % 0.36/1.04 (assume @p424 (forall (@list @t3 @t81) (= @t501 @t81))) % 0.36/1.04 (assume @p425 (forall (@list @t81 @t3) (= @t81 @t501))) % 0.36/1.04 (assume @p426 (forall (@list @t136 @t7 @t135 @t3) (= (tptp.c_List_Ofoldl @t136 @t7 @t183 @t3 @t135) @t7))) % 0.36/1.04 (assume @p427 (forall @t41 (or @t490 @t503))) % 0.36/1.04 (assume @p428 (forall @t41 (or @t490 @t504))) % 0.36/1.04 (assume @p429 (forall @t41 (or @t413 @t504))) % 0.36/1.04 (assume @p430 (forall @t41 (or @t413 @t503))) % 0.36/1.04 (assume @p431 (forall (@list @t341 @t437 @t3 @t505) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t441 @t505 @t440) @t506))) % 0.36/1.04 (assume @p432 (forall (@list @t341 @t437 @t505 @t3) (= @t506 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t437 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t505 @t440) @t440)))) % 0.36/1.04 (assume @p433 (forall @t508 (or @t507 @t304))) % 0.36/1.04 (assume @p434 (forall @t508 (or @t507 @t509))) % 0.36/1.04 (assume @p435 (forall (@list @t491 @t510) (or (not (= @t494 @t511)) (= @t491 @t510)))) % 0.36/1.04 (assume @p436 (forall @t296 (or @t512 @t304))) % 0.36/1.04 (assume @p437 (forall @t296 (or @t512 @t509))) % 0.36/1.04 (assume @p438 (forall @t329 (or @t487 @t484))) % 0.36/1.04 (assume @p439 (forall @t467 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t465) @t466)) @t373))) % 0.36/1.04 (assume @p440 (forall @t515 (or @t514 @t513))) % 0.36/1.04 (assume @p441 (forall @t515 (or @t514 @t516))) % 0.36/1.04 (assume @p442 (forall @t486 (or @t485 (= @t325 @t326)))) % 0.36/1.04 (assume @p443 (forall (@list @t82 @t325 @t96) (or (not (= @t472 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t96 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t472 @t96)))) % 0.36/1.04 (assume @p444 (forall @t497 (= (tptp.c_Lambda_OdB_OdB__rec @t496 @t495 @t492 @t494 @t3) (tptp.hAPP @t493 (tptp.c_Lambda_OdB_OdB__rec @t496 @t495 @t492 @t491 @t3))))) % 0.36/1.04 (assume @p445 (forall @t57 (or @t490 @t517))) % 0.36/1.04 (assume @p446 (forall @t57 (or @t413 @t517))) % 0.36/1.04 (assume @p447 (forall @t443 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t441 @t440) @t441))) % 0.36/1.04 (assume @p448 (forall (@list @t344 @t496 @t495 @t492 @t491) (or (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 @t494 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t344 @t493))))) % 0.36/1.04 (assume @p449 (forall (@list @t344 @t496 @t495 @t492 @t59) (or (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 (tptp.c_Lambda_OdB_OAbs @t59) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t344 (tptp.hAPP @t492 @t59)))))) % 0.36/1.04 (assume @p450 (forall @t296 (or (not (= @t207 @t79)) @t509))) % 0.36/1.04 (assume @p451 (forall @t296 (or (not (= @t79 @t207)) @t509))) % 0.36/1.04 (assume @p452 (forall @t296 (or (not (= @t207 @t81)) @t304))) % 0.36/1.04 (assume @p453 (forall (@list @t81 @t79 @t3) (or (not (= @t81 @t207)) @t304))) % 0.36/1.04 (assume @p454 (forall @t254 (or @t413 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t28 @t3) @t28)))) % 0.36/1.04 (assume @p455 (forall @t518 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t341 @t440) @t341))) % 0.36/1.04 (assume @p456 (forall @t446 (or @t445 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t96) @t377))) @t444))) % 0.36/1.04 (assume @p457 (forall (@list @t341 @t437 @t3 @t28) (or @t477 (not @t480) (not @t479)))) % 0.36/1.04 (assume @p458 (forall (@list @t82 @t325) (= @t472 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t472 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/1.04 (assume @p459 (forall @t52 (= @t481 @t223))) % 0.36/1.04 (assume @p460 (forall @t499 (= (tptp.c_List_Oappend @t207 @t134 @t3) (tptp.c_List_Oappend @t79 (tptp.c_List_Oappend @t81 @t134 @t3) @t3)))) % 0.36/1.04 (assume @p461 (forall (@list @t79 @t222 @t355 @t3) (= (tptp.c_List_Oappend @t79 (tptp.c_List_Oappend @t222 @t355 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Oappend @t79 @t222 @t3) @t355 @t3)))) % 0.36/1.04 (assume @p462 (forall (@list @t134 @t28 @t3 @t81) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t134 @t28 @t3) @t81 @t3) (tptp.c_List_Oappend @t134 (tptp.c_List_Oappend @t28 @t81 @t3) @t3)))) % 0.36/1.04 (assume @p463 (forall (@list @t79 @t28 @t95 @t3) (= (tptp.c_List_Oappend @t79 (tptp.c_List_Oappend @t28 @t95 @t3) @t3) (tptp.c_List_Oappend @t428 @t95 @t3)))) % 0.36/1.04 (assume @p464 (forall @t519 (= (tptp.c_Lambda_Osubst @t429 @t325 @t18) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t96 @t325 @t18)) (tptp.c_Lambda_Osubst @t182 @t325 @t18))))) % 0.36/1.04 (assume @p465 (forall (@list @t510 @t424) (not (= @t511 @t520)))) % 0.36/1.04 (assume @p466 (forall (@list @t522 @t521 @t510) (not (= @t523 @t511)))) % 0.36/1.04 (assume @p467 (forall @t426 (or (not (= @t520 (tptp.c_Lambda_OdB_OVar @t409))) @t425))) % 0.36/1.04 (assume @p468 (forall (@list @t344 @t496 @t495 @t492 @t524) (or (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 (tptp.c_Lambda_OdB_OVar @t524) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t344 (tptp.hAPP @t496 @t524)))))) % 0.36/1.04 (assume @p469 (forall (@list @t344 @t496 @t495 @t492 @t424) (or (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 @t520 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t344 @t525))))) % 0.36/1.04 (assume @p470 (forall (@list @t510 @t522 @t521) (not (= @t511 @t523)))) % 0.36/1.04 (assume @p471 (forall @t529 (or @t528 @t138))) % 0.36/1.04 (assume @p472 (forall @t529 (or @t528 @t513))) % 0.36/1.04 (assume @p473 (forall (@list @t18 @t182) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t18) @t182 @t18) @t182))) % 0.36/1.04 (assume @p474 (forall (@list @t344 @t496 @t495 @t492 @t531 @t530) (or (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t531) @t530) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t344 (tptp.hAPP (tptp.hAPP @t495 @t531) @t530)))))) % 0.36/1.04 (assume @p475 (forall (@list @t344 @t496 @t495 @t492 @t522 @t521) (or (not (tptp.hBOOL (tptp.hAPP @t344 (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 @t523 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t344 @t532))))) % 0.36/1.04 (assume @p476 (forall (@list @t82 @t112 @t117) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t82 @t333 @t117))) @t533))) % 0.36/1.04 (assume @p477 (forall (@list @t136 @t535 @t341 @t534 @t135 @t3) (= (tptp.c_Set_Oimage @t136 (tptp.c_Set_Oimage @t535 @t341 @t534 @t135) @t135 @t3) (tptp.c_Set_Oimage (tptp.c_COMBB @t136 @t535 @t135 @t3 @t534) @t341 @t534 @t3)))) % 0.36/1.04 (assume @p478 (forall @t539 (or @t538 (not @t537) (not @t536)))) % 0.36/1.04 (assume @p479 (forall (@list @t341 @t3 @t79) (or @t536 (not (tptp.hBOOL (tptp.hAPP @t341 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t341 @t79 @t3))))))) % 0.36/1.04 (assume @p480 (forall (@list @t112 @t96) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t333) @t96))))) % 0.36/1.04 (assume @p481 (forall (@list @t19 @t361) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t363)) (not (tptp.hBOOL (tptp.hAPP @t469 @t361)))))) % 0.36/1.04 (assume @p482 (forall @t544 (or @t543 (= @t522 @t540)))) % 0.36/1.04 (assume @p483 (forall @t544 (or @t543 (= @t521 @t541)))) % 0.36/1.04 (assume @p484 (forall (@list @t94 @t357 @t98 @t112 @t95) (or (= @t94 @t357) @t358 @t353))) % 0.36/1.04 (assume @p485 (forall (@list @t341 @t437 @t3 @t127) (or (tptp.hBOOL (tptp.hAPP @t442 @t127)) (not (tptp.hBOOL (tptp.hAPP @t438 @t127))) (not (tptp.hBOOL (tptp.hAPP @t439 @t127)))))) % 0.36/1.04 (assume @p486 (forall @t546 (or @t545 (= @t527 @t325)))) % 0.36/1.04 (assume @p487 (forall @t547 (= (tptp.c_Lambda_OdB_OdB__rec @t496 @t495 @t492 @t520 @t3) @t525))) % 0.36/1.04 (assume @p488 (forall @t462 (or @t475 @t457 @t470 @t453))) % 0.36/1.04 (assume @p489 (forall (@list @t424 @t540 @t541) (not (= @t520 @t542)))) % 0.36/1.04 (assume @p490 (forall (@list @t19 @t95 @t82 @t324) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t362 @t95 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t326 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.36/1.04 (assume @p491 (forall (@list @t96 @t112) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t452)) @t103))) % 0.36/1.04 (assume @p492 (forall (@list @t424 @t510) (not (= @t520 @t511)))) % 0.36/1.04 (assume @p493 @t548) % 0.36/1.04 (assume @p494 (forall (@list @t98 @t112 @t94) (or (= (tptp.hAPP @t98 @t112) @t94) (not (tptp.c_Type_Otyping @t98 @t333 @t94))))) % 0.36/1.04 (assume @p495 (forall (@list @t325 @t96 @t18) (= (tptp.c_Lambda_Olift @t380 @t18) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t325 @t18)) @t483)))) % 0.36/1.04 (assume @p496 (forall @t518 (tptp.hBOOL (tptp.hAPP @t439 @t223)))) % 0.36/1.04 (assume @p497 (forall (@list @t341 @t3 @t81 @t79) (or @t537 @t549))) % 0.36/1.04 (assume @p498 (forall @t539 (or @t536 @t549))) % 0.36/1.04 (assume @p499 (forall @t550 (= (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 @t523 @t3) @t532))) % 0.36/1.04 (assume @p500 (forall @t258 (= @t527 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t527 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/1.04 (assume @p501 (forall @t547 (= (tptp.c_Lambda_OdB_OdB__case @t496 @t495 @t492 @t520 @t3) @t525))) % 0.36/1.04 (assume @p502 (forall (@list @t344 @t552 @t135 @t3 @t534 @t551) (= (tptp.hAPP (tptp.c_COMBB @t344 @t552 @t135 @t3 @t534) @t551) (tptp.hAPP @t344 (tptp.hAPP @t552 @t551))))) % 0.36/1.04 (assume @p503 (forall (@list @t344 @t552 @t135 @t534 @t3 @t551) (= (tptp.hAPP (tptp.c_COMBC @t344 @t552 @t135 @t534 @t3) @t551) (tptp.hAPP (tptp.hAPP @t344 @t551) @t552)))) % 0.36/1.04 (assume @p504 (forall (@list @t419 @t28) (tptp.c_Type_Otyping @t419 @t383 (tptp.hAPP @t419 @t28)))) % 0.36/1.04 (assume @p505 (forall @t550 (= (tptp.c_Lambda_OdB_OdB__rec @t496 @t495 @t492 @t523 @t3) (tptp.hAPP (tptp.hAPP @t532 (tptp.c_Lambda_OdB_OdB__rec @t496 @t495 @t492 @t522 @t3)) (tptp.c_Lambda_OdB_OdB__rec @t496 @t495 @t492 @t521 @t3))))) % 0.36/1.04 (assume @p506 (forall (@list @t82 @t95 @t325) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t95 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t325 @t95 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t516))) % 0.36/1.04 (assume @p507 (forall @t106 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t326)) @t533))) % 0.36/1.04 (assume @p508 (forall (@list @t182 @t325 @t96) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t553 @t325)) (tptp.hAPP @t553 @t96))) @t476))) % 0.36/1.04 (assume @p509 (forall (@list @t325 @t182 @t96) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t379 @t182)) @t429)) @t476))) % 0.36/1.04 (assume @p510 (forall (@list @t19 @t325 @t96 @t18) (= (tptp.c_Lambda_Oliftn @t19 @t380 @t18) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t19 @t325 @t18)) @t463)))) % 0.36/1.04 (assume @p511 (forall @t546 (or @t545 @t484))) % 0.36/1.04 (assume @p512 (forall (@list @t325 @t96 @t19 @t324) (not (= @t473 @t526)))) % 0.36/1.04 (assume @p513 (forall @t519 (= (tptp.c_Lambda_Osubstn @t429 @t325 @t18) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t96 @t325 @t18)) (tptp.c_Lambda_Osubstn @t182 @t325 @t18))))) % 0.36/1.04 (assume @p514 (forall (@list @t540 @t541 @t424) (not (= @t542 @t520)))) % 0.36/1.04 (assume @p515 (tptp.hBOOL (tptp.hAPP @t469 tptp.v_rs))) % 0.36/1.04 (assume @p516 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp (tptp.c_COMBB tptp.c_InductTermi_OIT (tptp.c_COMBC tptp.c_Lambda_OdB_OApp @t554 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_bool tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.v_rs))) % 0.36/1.04 (assume @p517 (not @t555)) % 0.36/1.04 (assume @p518 (forall @t560 (or (tptp.class_Lattices_Olower__semilattice @t559) @t557))) % 0.36/1.04 (assume @p519 (forall @t560 (or (tptp.class_Orderings_Opreorder @t559) (not (tptp.class_Orderings_Opreorder @t556))))) % 0.36/1.04 (assume @p520 (forall @t560 (or (tptp.class_Lattices_Olattice @t559) @t557))) % 0.36/1.04 (assume @p521 (forall @t560 (or (tptp.class_Orderings_Oorder @t559) (not (tptp.class_Orderings_Oorder @t556))))) % 0.36/1.04 (assume @p522 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.36/1.04 (assume @p523 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.36/1.04 (assume @p524 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.36/1.04 (assume @p525 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.36/1.04 (assume @p526 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.36/1.04 (assume @p527 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.36/1.04 (assume @p528 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.36/1.04 (assume @p529 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.36/1.04 (assume @p530 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.36/1.04 (assume @p531 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.36/1.04 (assume @p532 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.36/1.04 (assume @p533 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.36/1.04 (assume @p534 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.36/1.04 (assume @p535 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.36/1.04 (assume @p536 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.36/1.04 (assume @p537 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.36/1.04 (assume @p538 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.36/1.04 (assume @p539 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.36/1.04 (assume @p540 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.36/1.04 (assume @p541 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.36/1.04 (assume @p542 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.36/1.04 (assume @p543 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.36/1.04 (assume @p544 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.36/1.04 (assume @p545 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.36/1.04 (assume @p546 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.36/1.04 (assume @p547 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.36/1.04 (assume @p548 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.36/1.04 (assume @p549 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.36/1.04 (assume @p550 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.36/1.04 (assume @p551 (forall @t254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t280 @t28) @t28)))) % 0.36/1.04 (assume @p552 (forall (@list @t562 @t561 @t3) (or (= @t562 @t561) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t280 @t562) @t561)))))) % 0.36/1.04 (assume-push @p560 @t548) % 0.36/1.04 (step @p554 :rule instantiate :premises (@p493) :args ((@list tptp.v_i))) % 0.36/1.04 (step-pop @p561 :rule scope :premises (@p554)) % 0.36/1.04 (step @p555 :rule process_scope :premises (@p561) :args (@t555)) % 0.36/1.04 (step @p557 :rule implies_elim :premises (@p555)) % 0.36/1.04 (step @p558 :rule reordering :premises (@p557) :args ((or @t555 (not @t548)))) % 0.36/1.04 (step @p559 false :rule chain_m_resolution :premises (@p558 @p517 @p493) :args (false (@list true false) (@list @t555 @t548))) % 0.36/1.04 ) % 0.36/1.04 % SZS output end Proof % 0.36/1.04 % cvc5 exiting %------------------------------------------------------------------------------