%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL811-1 : 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 : n020.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 11:23:55 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.81s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL811-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n020.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 5 12:57:12 UTC 2026 % 0.12/0.37 % CPUTime : % 0.22/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.81 % SZS status Unsatisfiable % 0.32/0.81 % SZS output start Proof % 0.32/0.82 ( % 0.32/0.82 (declare-sort $$unsorted 0) % 0.32/0.82 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.v_i____ $$unsorted) % 0.32/0.82 (declare-const tptp.v_ua______ $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__ext__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__idI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__XCons__eq__map__D__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_OListMem (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.v_bs____ $$unsorted) % 0.32/0.82 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.v_b____ $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__XCons__eq__map__D__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__eq__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.v_u____ $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xmap__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__XCons__eq__map__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__XCons__eq__map__conv__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.v_n____ $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.v_T____ $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.tc_nat $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.32/0.82 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.32/0.82 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.32/0.82 (declare-const tptp.t_b $$unsorted) % 0.32/0.82 (declare-const tptp.tc_bool $$unsorted) % 0.32/0.82 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.t_a $$unsorted) % 0.32/0.82 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.82 (define @t1 () (@var "T_a" $$unsorted)) % 0.32/0.82 (define @t2 () (@var "V_ys" $$unsorted)) % 0.32/0.82 (define @t3 () (@var "V_xs" $$unsorted)) % 0.32/0.82 (define @t4 () (tptp.c_List_Oappend @t3 @t2 @t1)) % 0.32/0.82 (define @t5 () (tptp.tc_List_Olist @t1)) % 0.32/0.82 (define @t6 () (tptp.c_Nat_Osize__class_Osize @t3 @t5)) % 0.32/0.82 (define @t7 () (@list @t2 @t3 @t1)) % 0.32/0.82 (define @t8 () (tptp.c_List_Odistinct @t3 @t1)) % 0.32/0.82 (define @t9 () (not @t8)) % 0.32/0.82 (define @t10 () (@var "V_P" $$unsorted)) % 0.32/0.82 (define @t11 () (tptp.c_List_Ofilter @t10 @t3 @t1)) % 0.32/0.82 (define @t12 () (@list @t10 @t3 @t1)) % 0.32/0.82 (define @t13 () (tptp.c_List_Olist_ONil @t1)) % 0.32/0.82 (define @t14 () (@list @t10 @t1)) % 0.32/0.82 (define @t15 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.32/0.82 (define @t16 () (@var "V_n" $$unsorted)) % 0.32/0.82 (define @t17 () (= @t16 @t15)) % 0.32/0.82 (define @t18 () (= @t3 @t13)) % 0.32/0.82 (define @t19 () (tptp.c_List_Otake @t16 @t3 @t1)) % 0.32/0.82 (define @t20 () (@list @t16 @t3 @t1)) % 0.32/0.82 (define @t21 () (@var "T_b" $$unsorted)) % 0.32/0.82 (define @t22 () (@var "V_x" $$unsorted)) % 0.32/0.82 (define @t23 () (@var "V_xa" $$unsorted)) % 0.32/0.82 (define @t24 () (tptp.tc_List_Olist @t21)) % 0.32/0.82 (define @t25 () (tptp.c_Nat_Osize__class_Osize @t2 @t5)) % 0.32/0.82 (define @t26 () (@var "V_zs" $$unsorted)) % 0.32/0.82 (define @t27 () (tptp.c_Nat_Osize__class_Osize @t2 @t24)) % 0.32/0.82 (define @t28 () (@var "V_b" $$unsorted)) % 0.32/0.82 (define @t29 () (@var "V_a" $$unsorted)) % 0.32/0.82 (define @t30 () (@var "V_d" $$unsorted)) % 0.32/0.82 (define @t31 () (@var "V_c" $$unsorted)) % 0.32/0.82 (define @t32 () (@var "V_s" $$unsorted)) % 0.32/0.82 (define @t33 () (@var "V_r" $$unsorted)) % 0.32/0.82 (define @t34 () (tptp.c_Lambda_OdB_OAbs @t33)) % 0.32/0.82 (define @t35 () (@var "V_ss" $$unsorted)) % 0.32/0.82 (define @t36 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t32 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t37 () (@list @t33 @t32 @t35)) % 0.32/0.82 (define @t38 () (@var "V_env" $$unsorted)) % 0.32/0.82 (define @t39 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.32/0.82 (define @t40 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.32/0.82 (define @t41 () (@list @t1)) % 0.32/0.82 (define @t42 () (@var "V_y" $$unsorted)) % 0.32/0.82 (define @t43 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t42 @t1)) % 0.32/0.82 (define @t44 () (= @t43 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t22 @t1))) % 0.32/0.82 (define @t45 () (not (tptp.class_Lattices_Olattice @t1))) % 0.32/0.82 (define @t46 () (@list @t1 @t22 @t42)) % 0.32/0.82 (define @t47 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.32/0.82 (define @t48 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.32/0.82 (define @t49 () (@var "V_A" $$unsorted)) % 0.32/0.82 (define @t50 () (@var "V_B" $$unsorted)) % 0.32/0.82 (define @t51 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t50 @t48)) % 0.32/0.82 (define @t52 () (@list @t49 @t50 @t1)) % 0.32/0.82 (define @t53 () (tptp.c_List_Olist_OCons @t42 @t13 @t1)) % 0.32/0.82 (define @t54 () (tptp.c_List_Orev @t2 @t1)) % 0.32/0.82 (define @t55 () (tptp.c_List_Oappend @t54 @t53 @t1)) % 0.32/0.82 (define @t56 () (tptp.c_List_Olist_OCons @t42 @t2 @t1)) % 0.32/0.82 (define @t57 () (tptp.c_List_Orev @t3 @t1)) % 0.32/0.82 (define @t58 () (tptp.c_List_Olist_OCons @t22 @t13 @t1)) % 0.32/0.82 (define @t59 () (tptp.c_List_Orev @t58 @t1)) % 0.32/0.82 (define @t60 () (@list @t22 @t1)) % 0.32/0.82 (define @t61 () (tptp.c_List_Oappend @t3 @t58 @t1)) % 0.32/0.82 (define @t62 () (tptp.c_List_Oappend @t2 @t53 @t1)) % 0.32/0.82 (define @t63 () (not (tptp.c_ListOrder_Ostep1 @t33 @t62 @t61 @t1))) % 0.32/0.82 (define @t64 () (tptp.c_ListOrder_Ostep1 @t33 @t2 @t3 @t1)) % 0.32/0.82 (define @t65 () (tptp.hAPP @t33 @t42)) % 0.32/0.82 (define @t66 () (tptp.hBOOL (tptp.hAPP @t65 @t22))) % 0.32/0.82 (define @t67 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.32/0.82 (define @t68 () (tptp.c_fequal @t1)) % 0.32/0.82 (define @t69 () (= @t3 @t2)) % 0.32/0.82 (define @t70 () (@list @t3 @t2 @t1)) % 0.32/0.82 (define @t71 () (tptp.c_List_Olist_OCons @t22 @t3 @t1)) % 0.32/0.82 (define @t72 () (@list @t22 @t3 @t1)) % 0.32/0.82 (define @t73 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.32/0.82 (define @t74 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.32/0.82 (define @t75 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.32/0.82 (define @t76 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.32/0.82 (define @t77 () (tptp.hAPP @t76 @t28)) % 0.32/0.82 (define @t78 () (tptp.hAPP @t77 @t31)) % 0.32/0.82 (define @t79 () (tptp.hAPP @t76 @t29)) % 0.32/0.82 (define @t80 () (tptp.hAPP @t79 @t31)) % 0.32/0.82 (define @t81 () (= (tptp.hAPP (tptp.hAPP @t76 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t28 @t1)) @t31) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t80 @t78 @t1))) % 0.32/0.82 (define @t82 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.32/0.82 (define @t83 () (@list @t1 @t29 @t28 @t31)) % 0.32/0.82 (define @t84 () (tptp.hAPP @t79 @t28)) % 0.32/0.82 (define @t85 () (= (tptp.hAPP @t79 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t31 @t1)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t84 @t80 @t1))) % 0.32/0.82 (define @t86 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t1))) % 0.32/0.82 (define @t87 () (@var "V_Q" $$unsorted)) % 0.32/0.82 (define @t88 () (tptp.c_List_Olist__all2 @t10 @t3 @t2 @t1 @t21)) % 0.32/0.82 (define @t89 () (not @t88)) % 0.32/0.82 (define @t90 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.32/0.82 (define @t91 () (@list @t1 @t16)) % 0.32/0.82 (define @t92 () (@var "V_j" $$unsorted)) % 0.32/0.82 (define @t93 () (@var "V_i" $$unsorted)) % 0.32/0.82 (define @t94 () (tptp.c_List_Olist__update @t3 @t93 @t22 @t1)) % 0.32/0.82 (define @t95 () (@var "V_u" $$unsorted)) % 0.32/0.82 (define @t96 () (@var "V_z" $$unsorted)) % 0.32/0.82 (define @t97 () (tptp.hAPP @t76 @t22)) % 0.32/0.82 (define @t98 () (tptp.hAPP @t97 @t96)) % 0.32/0.82 (define @t99 () (tptp.hAPP @t76 @t42)) % 0.32/0.82 (define @t100 () (tptp.hAPP @t97 (tptp.hAPP @t99 @t96))) % 0.32/0.82 (define @t101 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.32/0.82 (define @t102 () (@var "V_m" $$unsorted)) % 0.32/0.82 (define @t103 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.32/0.82 (define @t104 () (tptp.hAPP @t103 @t16)) % 0.32/0.82 (define @t105 () (tptp.hAPP @t104 @t102)) % 0.32/0.82 (define @t106 () (tptp.c_List_Odrop @t102 @t3 @t1)) % 0.32/0.82 (define @t107 () (@list @t16 @t102 @t3 @t1)) % 0.32/0.82 (define @t108 () (tptp.hAPP @t79 @t78)) % 0.32/0.82 (define @t109 () (tptp.hAPP @t76 @t84)) % 0.32/0.82 (define @t110 () (tptp.hAPP @t109 @t31)) % 0.32/0.82 (define @t111 () (= @t110 @t108)) % 0.32/0.82 (define @t112 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.32/0.82 (define @t113 () (tptp.hAPP @t76 @t31)) % 0.32/0.82 (define @t114 () (tptp.hAPP @t113 @t30)) % 0.32/0.82 (define @t115 () (tptp.hAPP @t79 @t114)) % 0.32/0.82 (define @t116 () (@list @t1 @t29 @t31 @t30)) % 0.32/0.82 (define @t117 () (tptp.hAPP @t76 @t80)) % 0.32/0.82 (define @t118 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.32/0.82 (define @t119 () (@var "V_k" $$unsorted)) % 0.32/0.82 (define @t120 () (tptp.hAPP @t104 @t119)) % 0.32/0.82 (define @t121 () (tptp.hAPP @t103 @t102)) % 0.32/0.82 (define @t122 () (tptp.hAPP @t121 @t16)) % 0.32/0.82 (define @t123 () (tptp.hAPP @t103 @t22)) % 0.32/0.82 (define @t124 () (tptp.hAPP @t123 @t96)) % 0.32/0.82 (define @t125 () (tptp.hAPP @t103 @t42)) % 0.32/0.82 (define @t126 () (@list @t22 @t42 @t96)) % 0.32/0.82 (define @t127 () (@list @t1 @t22 @t42 @t96)) % 0.32/0.82 (define @t128 () (tptp.hAPP @t97 @t42)) % 0.32/0.82 (define @t129 () (tptp.c_List_Olinorder__class_Osorted @t3 @t1)) % 0.32/0.82 (define @t130 () (not @t129)) % 0.32/0.82 (define @t131 () (tptp.c_List_Odrop @t16 @t3 @t1)) % 0.32/0.82 (define @t132 () (@list @t1 @t16 @t3)) % 0.32/0.82 (define @t133 () (tptp.c_List_Olistsum @t3 @t1)) % 0.32/0.82 (define @t134 () (@list @t1 @t3)) % 0.32/0.82 (define @t135 () (@var "V_f1" $$unsorted)) % 0.32/0.82 (define @t136 () (@var "V_f2" $$unsorted)) % 0.32/0.82 (define @t137 () (= @t3 @t58)) % 0.32/0.82 (define @t138 () (tptp.c_List_Oappend @t3 @t22 @t1)) % 0.32/0.82 (define @t139 () (not @t64)) % 0.32/0.82 (define @t140 () (@var "V_us" $$unsorted)) % 0.32/0.82 (define @t141 () (@var "V_vs" $$unsorted)) % 0.32/0.82 (define @t142 () (tptp.hAPP @t10 @t22)) % 0.32/0.82 (define @t143 () (tptp.hBOOL @t142)) % 0.32/0.82 (define @t144 () (tptp.c_List_OtakeWhile @t10 @t71 @t1)) % 0.32/0.82 (define @t145 () (@list @t10 @t22 @t3 @t1)) % 0.32/0.82 (define @t146 () (= @t102 @t16)) % 0.32/0.82 (define @t147 () (tptp.c_List_Oreplicate @t102 @t22 @t1)) % 0.32/0.82 (define @t148 () (not (= @t147 (tptp.c_List_Oreplicate @t16 @t42 @t1)))) % 0.32/0.82 (define @t149 () (@list @t102 @t22 @t1 @t16 @t42)) % 0.32/0.82 (define @t150 () (= @t2 @t26)) % 0.32/0.82 (define @t151 () (@list @t3 @t2 @t1 @t26)) % 0.32/0.82 (define @t152 () (tptp.c_List_Olist_OCons @t22 @t2 @t1)) % 0.32/0.82 (define @t153 () (tptp.c_List_Oappend @t3 @t152 @t1)) % 0.32/0.82 (define @t154 () (@list @t16 @t1)) % 0.32/0.82 (define @t155 () (tptp.c_List_OtakeWhile @t10 @t3 @t1)) % 0.32/0.82 (define @t156 () (tptp.c_List_Oappend @t3 @t13 @t1)) % 0.32/0.82 (define @t157 () (@list @t3 @t1)) % 0.32/0.82 (define @t158 () (tptp.c_List_Oappend @t13 @t2 @t1)) % 0.32/0.82 (define @t159 () (@list @t2 @t1)) % 0.32/0.82 (define @t160 () (not (tptp.c_List_Odistinct @t4 @t1))) % 0.32/0.82 (define @t161 () (@list @t3 @t1 @t2)) % 0.32/0.82 (define @t162 () (tptp.c_List_Orev @t57 @t1)) % 0.32/0.82 (define @t163 () (tptp.c_List_Orev @t2 @t21)) % 0.32/0.82 (define @t164 () (tptp.c_List_Olist__all2 @t10 @t57 @t163 @t1 @t21)) % 0.32/0.82 (define @t165 () (@list @t10 @t3 @t1 @t2 @t21)) % 0.32/0.82 (define @t166 () (tptp.hAPP @t103 @t119)) % 0.32/0.82 (define @t167 () (tptp.hAPP @t166 @t74)) % 0.32/0.82 (define @t168 () (@var "V_t" $$unsorted)) % 0.32/0.82 (define @t169 () (tptp.c_Lambda_OdB_OAbs @t168)) % 0.32/0.82 (define @t170 () (@list @t168 @t32 @t119)) % 0.32/0.82 (define @t171 () (tptp.hAPP @t113 @t29)) % 0.32/0.82 (define @t172 () (tptp.hAPP @t77 @t29)) % 0.32/0.82 (define @t173 () (@list @t102 @t16)) % 0.32/0.82 (define @t174 () (tptp.c_List_Oreplicate @t16 @t22 @t1)) % 0.32/0.82 (define @t175 () (@list @t16 @t22 @t1)) % 0.32/0.82 (define @t176 () (= @t42 @t22)) % 0.32/0.82 (define @t177 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t1)) % 0.32/0.82 (define @t178 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t102 @t1)) % 0.32/0.82 (define @t179 () (@list @t1 @t102 @t16)) % 0.32/0.82 (define @t180 () (@list @t3 @t1 @t22)) % 0.32/0.82 (define @t181 () (@var "V_T" $$unsorted)) % 0.32/0.82 (define @t182 () (tptp.c_Lambda_OdB_OVar @t93)) % 0.32/0.82 (define @t183 () (@var "V_e" $$unsorted)) % 0.32/0.82 (define @t184 () (@var "V_g" $$unsorted)) % 0.32/0.82 (define @t185 () (@var "V_f" $$unsorted)) % 0.32/0.82 (define @t186 () (tptp.hAPP @t185 (tptp.hAPP @t184 @t22))) % 0.32/0.82 (define @t187 () (@var "T_c" $$unsorted)) % 0.32/0.82 (define @t188 () (tptp.c_Fun_Ocomp @t185 @t184 @t21 @t1 @t187)) % 0.32/0.82 (define @t189 () (tptp.hAPP @t188 @t22)) % 0.32/0.82 (define @t190 () (@var "V_v" $$unsorted)) % 0.32/0.82 (define @t191 () (tptp.c_Fun_Ocomp @t29 @t28 @t187 @t21 @t1)) % 0.32/0.82 (define @t192 () (tptp.hAPP @t29 (tptp.hAPP @t28 @t190))) % 0.32/0.82 (define @t193 () (@var "V_dB_H" $$unsorted)) % 0.32/0.82 (define @t194 () (tptp.c_Lambda_OdB_OAbs @t193)) % 0.32/0.82 (define @t195 () (@var "V_nat" $$unsorted)) % 0.32/0.82 (define @t196 () (tptp.c_Lambda_OdB_OVar @t195)) % 0.32/0.82 (define @t197 () (= @t6 @t27)) % 0.32/0.82 (define @t198 () (@list @t1 @t22)) % 0.32/0.82 (define @t199 () (@list @t1 @t29)) % 0.32/0.82 (define @t200 () (not @t143)) % 0.32/0.82 (define @t201 () (tptp.c_List_Ofilter @t10 @t174 @t1)) % 0.32/0.82 (define @t202 () (@list @t10 @t16 @t22 @t1)) % 0.32/0.82 (define @t203 () (tptp.c_List_Olist_ONil @t21)) % 0.32/0.82 (define @t204 () (@var "V_ts" $$unsorted)) % 0.32/0.82 (define @t205 () (tptp.c_Lambda_OdB_OVar @t16)) % 0.32/0.82 (define @t206 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t96 @t1) @t1)) % 0.32/0.82 (define @t207 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t96 @t1) @t206)) % 0.32/0.82 (define @t208 () (= @t206 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t96 @t1) @t1))) % 0.32/0.82 (define @t209 () (@var "V_C" $$unsorted)) % 0.32/0.82 (define @t210 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t209 @t48) @t48)) % 0.32/0.82 (define @t211 () (not (= @t13 @t4))) % 0.32/0.82 (define @t212 () (@list @t1 @t3 @t2)) % 0.32/0.82 (define @t213 () (= @t2 @t13)) % 0.32/0.82 (define @t214 () (@var "V_dB" $$unsorted)) % 0.32/0.82 (define @t215 () (@var "V_lst" $$unsorted)) % 0.32/0.82 (define @t216 () (= @t42 @t96)) % 0.32/0.82 (define @t217 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.32/0.82 (define @t218 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.32/0.82 (define @t219 () (= @t28 @t31)) % 0.32/0.82 (define @t220 () (not (= @t84 @t80))) % 0.32/0.82 (define @t221 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.32/0.82 (define @t222 () (= @t33 @t32)) % 0.32/0.82 (define @t223 () (not (tptp.c_Lambda_Obeta @t32 @t168))) % 0.32/0.82 (define @t224 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t95)) % 0.32/0.82 (define @t225 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t168)) % 0.32/0.82 (define @t226 () (tptp.hAPP @t225 @t95)) % 0.32/0.82 (define @t227 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t32)) % 0.32/0.82 (define @t228 () (@list @t93 @t3 @t1)) % 0.32/0.82 (define @t229 () (tptp.c_List_Odistinct @t57 @t1)) % 0.32/0.82 (define @t230 () (tptp.hAPP @t227 @t168)) % 0.32/0.82 (define @t231 () (tptp.c_List_Oreplicate @t15 @t22 @t1)) % 0.32/0.82 (define @t232 () (tptp.c_List_Olist__all2 @t10 @t140 @t141 @t1 @t21)) % 0.32/0.82 (define @t233 () (tptp.c_List_Olist__all2 @t10 (tptp.c_List_Oappend @t3 @t140 @t1) (tptp.c_List_Oappend @t2 @t141 @t21) @t1 @t21)) % 0.32/0.82 (define @t234 () (not @t197)) % 0.32/0.82 (define @t235 () (@list @t3 @t1 @t2 @t21 @t10 @t140 @t141)) % 0.32/0.82 (define @t236 () (tptp.c_List_Oappend @t13 @t71 @t1)) % 0.32/0.82 (define @t237 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t168)))) % 0.32/0.82 (define @t238 () (@list @t168 @t93)) % 0.32/0.82 (define @t239 () (tptp.hAPP tptp.c_Lambda_Osubst @t168)) % 0.32/0.82 (define @t240 () (tptp.hAPP (tptp.hAPP @t239 @t95) @t93)) % 0.32/0.82 (define @t241 () (@var "V_e_H" $$unsorted)) % 0.32/0.82 (define @t242 () (@var "V_U" $$unsorted)) % 0.32/0.82 (define @t243 () (= @t2 @t3)) % 0.32/0.82 (define @t244 () (tptp.c_List_Oappend @t13 @t13 @t1)) % 0.32/0.82 (define @t245 () (tptp.hBOOL (tptp.hAPP @t51 @t22))) % 0.32/0.82 (define @t246 () (not @t245)) % 0.32/0.82 (define @t247 () (tptp.hBOOL (tptp.hAPP @t50 @t22))) % 0.32/0.82 (define @t248 () (tptp.hBOOL (tptp.hAPP @t49 @t22))) % 0.32/0.82 (define @t249 () (tptp.c_List_Olist__all @t10 @t3 @t1)) % 0.32/0.82 (define @t250 () (not @t249)) % 0.32/0.82 (define @t251 () (tptp.c_List_Olist__all @t10 @t2 @t1)) % 0.32/0.82 (define @t252 () (tptp.c_List_Olist__all @t10 @t4 @t1)) % 0.32/0.82 (define @t253 () (@list @t10 @t3 @t2 @t1)) % 0.32/0.82 (define @t254 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t205 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t255 () (tptp.c_Lambda_OdB_OAbs @t32)) % 0.32/0.82 (define @t256 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t255) @t168)) % 0.32/0.82 (define @t257 () (@list @t32 @t168)) % 0.32/0.82 (define @t258 () (tptp.c_List_Oreplicate @t93 @t22 @t1)) % 0.32/0.82 (define @t259 () (tptp.c_List_Orev @t13 @t1)) % 0.32/0.82 (define @t260 () (@list @t168 @t95 @t32 @t119)) % 0.32/0.82 (define @t261 () (tptp.c_List_Oappend @t3 @t2 @t21)) % 0.32/0.82 (define @t262 () (tptp.c_List_Orotate @t16 @t3 @t1)) % 0.32/0.82 (define @t263 () (@var "V_dB2_H" $$unsorted)) % 0.32/0.82 (define @t264 () (@var "V_dB1_H" $$unsorted)) % 0.32/0.82 (define @t265 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t264) @t263)) % 0.32/0.82 (define @t266 () (tptp.c_List_Ofilter @t10 @t2 @t1)) % 0.32/0.82 (define @t267 () (tptp.c_List_Olist__all2 @t10 @t3 @t163 @t1 @t21)) % 0.32/0.82 (define @t268 () (tptp.c_List_Olist__all2 @t10 @t57 @t2 @t1 @t21)) % 0.32/0.82 (define @t269 () (@var "V_rs" $$unsorted)) % 0.32/0.82 (define @t270 () (= @t29 @t39)) % 0.32/0.82 (define @t271 () (not (= (tptp.c_Power_Opower__class_Opower @t29 @t16 @t1) @t39))) % 0.32/0.82 (define @t272 () (not (tptp.class_Power_Opower @t1))) % 0.32/0.82 (define @t273 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.32/0.82 (define @t274 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.32/0.82 (define @t275 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.32/0.82 (define @t276 () (@list @t1 @t29 @t16)) % 0.32/0.82 (define @t277 () (tptp.hAPP @t76 @t39)) % 0.32/0.82 (define @t278 () (= (tptp.hAPP @t277 @t29) @t29)) % 0.32/0.82 (define @t279 () (= (tptp.hAPP @t79 @t39) @t29)) % 0.32/0.82 (define @t280 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.32/0.82 (define @t281 () (not (= @t122 @t15))) % 0.32/0.82 (define @t282 () (= @t102 @t15)) % 0.32/0.82 (define @t283 () (tptp.hAPP @t103 @t15)) % 0.32/0.82 (define @t284 () (= @t22 @t42)) % 0.32/0.82 (define @t285 () (@list @t16)) % 0.32/0.82 (define @t286 () (@var "V_xb" $$unsorted)) % 0.32/0.82 (define @t287 () (@var "V_list" $$unsorted)) % 0.32/0.82 (define @t288 () (tptp.hAPP (tptp.hAPP @t136 @t29) @t287)) % 0.32/0.82 (define @t289 () (tptp.c_List_Ofilter @t10 @t71 @t1)) % 0.32/0.82 (define @t290 () (tptp.c_List_Olist__all @t10 @t71 @t1)) % 0.32/0.82 (define @t291 () (not (tptp.c_ListOrder_Ostep1 @t33 @t56 @t71 @t1))) % 0.32/0.82 (define @t292 () (@list @t33 @t2 @t3 @t1 @t42 @t22)) % 0.32/0.82 (define @t293 () (@var "V_list_H" $$unsorted)) % 0.32/0.82 (define @t294 () (@var "V_a_H" $$unsorted)) % 0.32/0.82 (define @t295 () (tptp.c_List_Olist_OCons @t294 @t293 @t1)) % 0.32/0.82 (define @t296 () (tptp.c_List_Oremove1 @t22 @t3 @t1)) % 0.32/0.82 (define @t297 () (tptp.c_List_Olist_OCons @t42 @t3 @t1)) % 0.32/0.82 (define @t298 () (@list @t22 @t42 @t3 @t1)) % 0.32/0.82 (define @t299 () (tptp.hBOOL (tptp.hAPP @t142 @t42))) % 0.32/0.82 (define @t300 () (not @t299)) % 0.32/0.82 (define @t301 () (tptp.c_List_Olist_OCons @t42 @t2 @t21)) % 0.32/0.82 (define @t302 () (tptp.c_List_Olist_OCons @t22 @t23 @t1)) % 0.32/0.82 (define @t303 () (tptp.c_List_Olist_OCons @t23 @t286 @t21)) % 0.32/0.82 (define @t304 () (tptp.c_List_Olist__all2 @t10 @t71 @t301 @t1 @t21)) % 0.32/0.82 (define @t305 () (not @t304)) % 0.32/0.82 (define @t306 () (not (= @t4 @t13))) % 0.32/0.82 (define @t307 () (tptp.c_Lambda_OdB_OVar @t102)) % 0.32/0.82 (define @t308 () (not @t233)) % 0.32/0.82 (define @t309 () (not (tptp.c_Lambda_Obeta @t33 @t32))) % 0.32/0.82 (define @t310 () (@var "V_l" $$unsorted)) % 0.32/0.82 (define @t311 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t32) @t168)) % 0.32/0.82 (define @t312 () (tptp.hAPP @t103 @t6)) % 0.32/0.82 (define @t313 () (@list @t1 @t22 @t3)) % 0.32/0.82 (define @t314 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t182 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t315 () (tptp.c_List_Oreplicate @t119 @t22 @t1)) % 0.32/0.82 (define @t316 () (@var "V_dB2" $$unsorted)) % 0.32/0.82 (define @t317 () (@var "V_dB1" $$unsorted)) % 0.32/0.82 (define @t318 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t317) @t316)) % 0.32/0.82 (define @t319 () (not (= @t318 @t265))) % 0.32/0.82 (define @t320 () (@list @t317 @t316 @t264 @t263)) % 0.32/0.82 (define @t321 () (@var "V_bs" $$unsorted)) % 0.32/0.82 (define @t322 () (@var "V_as" $$unsorted)) % 0.32/0.82 (define @t323 () (= @t269 @t35)) % 0.32/0.82 (define @t324 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t34 @t269 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t255 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.32/0.82 (define @t325 () (@list @t33 @t269 @t32 @t35)) % 0.32/0.82 (define @t326 () (tptp.c_Power_Opower__class_Opower @t29 @t15 @t1)) % 0.32/0.82 (define @t327 () (tptp.c_List_Odistinct @t262 @t1)) % 0.32/0.82 (define @t328 () (@var "T_d" $$unsorted)) % 0.32/0.82 (define @t329 () (@var "V_h" $$unsorted)) % 0.32/0.82 (define @t330 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t43 @t1) @t43)) % 0.32/0.82 (define @t331 () (@list @t49 @t1)) % 0.32/0.82 (define @t332 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 0.32/0.82 (define @t333 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 0.32/0.82 (define @t334 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 0.32/0.82 (define @t335 () (tptp.c_Nat_Osize__class_Osize @t334 @t5)) % 0.32/0.82 (define @t336 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t335 @t333 @t1) @t332 @t1)) % 0.32/0.82 (define @t337 () (tptp.c_Nat_Osize__class_Osize @t333 @t5)) % 0.32/0.82 (define @t338 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t307 @t269 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t254))) % 0.32/0.82 (define @t339 () (@list @t102 @t269 @t16 @t35)) % 0.32/0.82 (define @t340 () (not (tptp.c_Type_Otyping @t183 @t168 @t181))) % 0.32/0.82 (define @t341 () (@var "V_t_H" $$unsorted)) % 0.32/0.82 (define @t342 () (not (tptp.c_List_Olinorder__class_Osorted @t4 @t1))) % 0.32/0.82 (define @t343 () (@var "V_i_H" $$unsorted)) % 0.32/0.82 (define @t344 () (@var "V_x_H" $$unsorted)) % 0.32/0.82 (define @t345 () (@var "V_nat_H" $$unsorted)) % 0.32/0.82 (define @t346 () (tptp.c_List_Olist__all @t10 @t57 @t1)) % 0.32/0.82 (define @t347 () (@var "T_e" $$unsorted)) % 0.32/0.82 (define @t348 () (@var "V_g_H" $$unsorted)) % 0.32/0.82 (define @t349 () (@var "V_f_H" $$unsorted)) % 0.32/0.82 (define @t350 () (not (= @t61 @t62))) % 0.32/0.82 (define @t351 () (@list @t3 @t22 @t1 @t2 @t42)) % 0.32/0.82 (define @t352 () (not @t252)) % 0.32/0.82 (define @t353 () (tptp.hAPP tptp.c_Lambda_Olift @t32)) % 0.32/0.82 (define @t354 () (@var "V_xs1" $$unsorted)) % 0.32/0.82 (define @t355 () (tptp.hAPP tptp.c_Lambda_Olift @t168)) % 0.32/0.82 (define @t356 () (tptp.hAPP @t355 @t93)) % 0.32/0.82 (define @t357 () (tptp.c_Type_Oshift @t183 @t93 @t242 tptp.tc_Type_Otype)) % 0.32/0.82 (define @t358 () (tptp.c_List_Olist_OCons @t22 @t3 @t21)) % 0.32/0.82 (define @t359 () (tptp.c_List_Olist_OCons @t42 @t26 @t1)) % 0.32/0.82 (define @t360 () (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Oappend @t23 @t26 @t1) @t1)) % 0.32/0.82 (define @t361 () (tptp.c_List_Oappend @t302 @t26 @t1)) % 0.32/0.82 (define @t362 () (not @t290)) % 0.32/0.82 (define @t363 () (tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__2 @t185 @t3 @t42 @t2 @t21 @t1)) % 0.32/0.82 (define @t364 () (tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__1 @t185 @t3 @t42 @t2 @t21 @t1)) % 0.32/0.82 (define @t365 () (tptp.c_List_Omap @t185 @t3 @t21 @t1)) % 0.32/0.82 (define @t366 () (not (= @t365 @t56))) % 0.32/0.82 (define @t367 () (@list @t185 @t3 @t21 @t1 @t42 @t2)) % 0.32/0.82 (define @t368 () (tptp.c_List_Osko__List__XCons__eq__map__conv__1__2 @t185 @t22 @t3 @t2 @t21 @t1)) % 0.32/0.82 (define @t369 () (tptp.c_List_Osko__List__XCons__eq__map__conv__1__1 @t185 @t22 @t3 @t2 @t21 @t1)) % 0.32/0.82 (define @t370 () (tptp.c_List_Omap @t185 @t2 @t21 @t1)) % 0.32/0.82 (define @t371 () (not (= @t71 @t370))) % 0.32/0.82 (define @t372 () (@list @t22 @t3 @t1 @t185 @t2 @t21)) % 0.32/0.82 (define @t373 () (tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__2 @t185 @t3 @t42 @t2 @t21 @t1)) % 0.32/0.82 (define @t374 () (tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__1 @t185 @t3 @t42 @t2 @t21 @t1)) % 0.32/0.82 (define @t375 () (tptp.c_List_Osko__List__XCons__eq__map__D__1__2 @t185 @t22 @t3 @t2 @t21 @t1)) % 0.32/0.82 (define @t376 () (tptp.c_List_Osko__List__XCons__eq__map__D__1__1 @t185 @t22 @t3 @t2 @t21 @t1)) % 0.32/0.82 (define @t377 () (= @t3 @t203)) % 0.32/0.82 (define @t378 () (@list @t185 @t3 @t21 @t1)) % 0.32/0.82 (define @t379 () (@list @t16 @t185 @t3 @t21 @t1)) % 0.32/0.82 (define @t380 () (tptp.c_List_Osko__List__Xmap__idI__1__1 @t185 @t3 @t1)) % 0.32/0.82 (define @t381 () (tptp.c_Nat_Osize__class_Osize @t3 @t24)) % 0.32/0.82 (define @t382 () (tptp.hAPP @t185 @t22)) % 0.32/0.82 (define @t383 () (tptp.c_List_Osko__List__Xmap__ext__1__1 @t185 @t184 @t3 @t1 @t21)) % 0.32/0.82 (define @t384 () (tptp.c_List_Omap @t185 @t203 @t21 @t1)) % 0.32/0.82 (define @t385 () (tptp.c_List_Osko__List__Xmap__cong__1__1 @t185 @t184 @t22 @t1 @t21)) % 0.32/0.82 (define @t386 () (tptp.c_List_Osko__List__Xmap__eq__conv__1__1 @t185 @t184 @t3 @t21 @t1)) % 0.32/0.82 (define @t387 () (tptp.hAPP tptp.c_Lambda_Osubst @t33)) % 0.32/0.82 (define @t388 () (tptp.hAPP @t239 @t32)) % 0.32/0.82 (define @t389 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t33)))) % 0.32/0.82 (define @t390 () (tptp.c_List_Olistsp @t49 @t3 @t1)) % 0.32/0.82 (define @t391 () (tptp.c_List_Olistsp @t49 @t2 @t1)) % 0.32/0.82 (define @t392 () (tptp.c_List_Olistsp @t49 @t4 @t1)) % 0.32/0.82 (define @t393 () (not @t392)) % 0.32/0.82 (define @t394 () (tptp.hAPP @t355 @t119)) % 0.32/0.82 (define @t395 () (@var "V_T_H" $$unsorted)) % 0.32/0.82 (define @t396 () (@var "V_ia" $$unsorted)) % 0.32/0.82 (define @t397 () (@var "V_ea" $$unsorted)) % 0.32/0.82 (define @t398 () (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t397 @t396 tptp.v_T____ tptp.tc_Type_Otype) tptp.v_b____ @t395))) % 0.32/0.82 (define @t399 () (@var "V_ua" $$unsorted)) % 0.32/0.82 (define @t400 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_b____)) % 0.32/0.82 (define @t401 () (= (tptp.c_Power_Opower__class_Opower @t39 @t16 @t1) @t39)) % 0.32/0.82 (define @t402 () (@var "V_Ts" $$unsorted)) % 0.32/0.82 (define @t403 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t404 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t95 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t403) @t93 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t405 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t93 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t406 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t168 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t407 () (tptp.c_COMBC tptp.c_Lambda_Olift @t15 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t408 () (not (= (tptp.c_List_Olist_OCons @t29 @t287 @t1) @t295))) % 0.32/0.82 (define @t409 () (@list @t29 @t287 @t1 @t294 @t293)) % 0.32/0.82 (define @t410 () (@var "V_R" $$unsorted)) % 0.32/0.82 (define @t411 () (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.v_u____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t403)) % 0.32/0.82 (define @t412 () (tptp.c_COMBC @t411 tptp.v_i____ tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t413 () (tptp.c_List_Omap @t407 (tptp.c_List_Omap @t412 tptp.v_bs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t414 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP (tptp.hAPP @t400 tptp.v_u____) tptp.v_i____)) @t15)) % 0.32/0.82 (define @t415 () (tptp.c_List_Olist_OCons @t414 @t413 tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t416 () (tptp.c_List_Olist_OCons tptp.v_b____ tptp.v_bs____ tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t417 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap @t407 (tptp.c_List_Omap @t412 @t416 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.32/0.82 (define @t418 () (@var "T_1" $$unsorted)) % 0.32/0.82 (define @t419 () (not (tptp.class_Lattices_Olattice @t418))) % 0.32/0.82 (define @t420 () (@var "T_2" $$unsorted)) % 0.32/0.82 (define @t421 () (tptp.tc_fun @t420 @t418)) % 0.32/0.82 (define @t422 () (@list @t420 @t418)) % 0.32/0.82 (define @t423 () (@var "V_Y" $$unsorted)) % 0.32/0.82 (define @t424 () (@var "V_X" $$unsorted)) % 0.32/0.82 (define @t425 () (tptp.hAPP @t412 tptp.v_b____)) % 0.32/0.82 (define @t426 () (tptp.hAPP tptp.c_Lambda_Olift @t425)) % 0.32/0.82 (define @t427 () (tptp.c_Fun_Ocomp @t407 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.32/0.82 (assume @p1 (forall @t7 (= @t2 (tptp.c_List_Odrop @t6 @t4 @t1)))) % 0.32/0.82 (assume @p2 (forall @t12 (or (tptp.c_List_Odistinct @t11 @t1) @t9))) % 0.32/0.82 (assume @p3 (forall @t14 (= (tptp.c_List_Ofilter @t10 @t13 @t1) @t13))) % 0.32/0.82 (assume @p4 (forall @t20 (or (not (= @t19 @t13)) @t18 @t17))) % 0.32/0.82 (assume @p5 (forall (@list @t23 @t21 @t2 @t1 @t22 @t3 @t10) (or (not (= (tptp.c_Nat_Osize__class_Osize @t23 @t24) @t25)) (not (= (tptp.c_Nat_Osize__class_Osize @t22 @t24) @t6)) (tptp.c_List_Olist__all2 @t10 @t4 (tptp.c_List_Oappend @t22 @t23 @t21) @t1 @t21) (not (tptp.c_List_Olist__all2 @t10 @t2 @t23 @t1 @t21)) (not (tptp.c_List_Olist__all2 @t10 @t3 @t22 @t1 @t21))))) % 0.32/0.82 (assume @p6 (forall (@list @t23 @t1 @t26 @t21 @t22 @t2 @t10) (or (not (= (tptp.c_Nat_Osize__class_Osize @t23 @t5) (tptp.c_Nat_Osize__class_Osize @t26 @t24))) (not (= (tptp.c_Nat_Osize__class_Osize @t22 @t5) @t27)) (tptp.c_List_Olist__all2 @t10 (tptp.c_List_Oappend @t22 @t23 @t1) (tptp.c_List_Oappend @t2 @t26 @t21) @t1 @t21) (not (tptp.c_List_Olist__all2 @t10 @t23 @t26 @t1 @t21)) (not (tptp.c_List_Olist__all2 @t10 @t22 @t2 @t1 @t21))))) % 0.32/0.82 (assume @p7 (forall (@list @t10 @t29 @t31 @t1 @t28 @t30 @t21) (or (tptp.c_List_Olist__all2 @t10 (tptp.c_List_Oappend @t29 @t31 @t1) (tptp.c_List_Oappend @t28 @t30 @t21) @t1 @t21) (not (tptp.c_List_Olist__all2 @t10 @t31 @t30 @t1 @t21)) (not (tptp.c_List_Olist__all2 @t10 @t29 @t28 @t1 @t21))))) % 0.32/0.82 (assume @p8 (forall @t37 (or (not (= @t34 @t36)) (= @t34 @t32)))) % 0.32/0.82 (assume @p9 (forall (@list @t38 @t22) (tptp.c_Type_Otyping @t38 (tptp.c_Lambda_OdB_OVar @t22) (tptp.hAPP @t38 @t22)))) % 0.32/0.82 (assume @p10 (forall @t41 (or @t40 (= (tptp.c_List_Olistsum @t13 @t1) @t39)))) % 0.32/0.82 (assume @p11 (forall @t46 (or @t45 @t44))) % 0.32/0.82 (assume @p12 (forall @t46 (or @t47 @t44))) % 0.32/0.82 (assume @p13 (forall @t52 (= @t51 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t49 @t48)))) % 0.32/0.82 (assume @p14 (forall (@list @t3 @t1 @t42 @t2) (or (not (= @t57 @t56)) (= @t3 @t55)))) % 0.32/0.82 (assume @p15 (forall @t60 (= @t59 @t58))) % 0.32/0.82 (assume @p16 (forall (@list @t33 @t42 @t22 @t2 @t3 @t1) (or @t66 @t64 @t63))) % 0.32/0.82 (assume @p17 (forall @t41 (or @t67 (tptp.c_List_Olinorder__class_Osorted @t13 @t1)))) % 0.32/0.82 (assume @p18 (forall @t70 (or @t69 (not (tptp.c_List_Olist__all2 @t68 @t3 @t2 @t1 @t1))))) % 0.32/0.82 (assume @p19 (forall @t72 (= (tptp.c_List_Orev @t71 @t1) (tptp.c_List_Oappend @t57 @t58 @t1)))) % 0.32/0.82 (assume @p20 (forall @t41 (or @t75 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t74 @t1) @t73)))) % 0.32/0.82 (assume @p21 (forall @t83 (or @t82 @t81))) % 0.32/0.82 (assume @p22 (forall @t83 (or @t82 @t85))) % 0.32/0.82 (assume @p23 (forall @t83 (or @t86 @t81))) % 0.32/0.82 (assume @p24 (forall @t83 (or @t86 @t85))) % 0.32/0.82 (assume @p25 (forall (@list @t10 @t1 @t21 @t87) (= (tptp.hAPP (tptp.c_COMBK @t10 @t1 @t21) @t87) @t10))) % 0.32/0.82 (assume @p26 (forall (@list @t10 @t16 @t3 @t1 @t2 @t21) (or (tptp.c_List_Olist__all2 @t10 @t19 (tptp.c_List_Otake @t16 @t2 @t21) @t1 @t21) @t89))) % 0.32/0.82 (assume @p27 (forall @t91 (or @t90 (= (tptp.c_Power_Opower__class_Opower @t73 @t16 @t1) @t73)))) % 0.32/0.82 (assume @p28 (forall (@list @t3 @t93 @t22 @t1 @t92) (or (= (tptp.c_List_Onth @t94 @t92 @t1) (tptp.c_List_Onth @t3 @t92 @t1)) (= @t93 @t92)))) % 0.32/0.82 (assume @p29 (forall (@list @t1 @t22 @t42 @t96 @t95) (or @t101 (not (= @t100 (tptp.hAPP @t99 @t95))) (= @t98 @t95)))) % 0.32/0.82 (assume @p30 (forall @t107 (= (tptp.c_List_Otake @t16 @t106 @t1) (tptp.c_List_Odrop @t102 (tptp.c_List_Otake @t105 @t3 @t1) @t1)))) % 0.32/0.82 (assume @p31 (forall @t83 (or @t112 @t111))) % 0.32/0.82 (assume @p32 (forall @t116 (or @t112 (= @t115 (tptp.hAPP @t113 (tptp.hAPP @t79 @t30)))))) % 0.32/0.82 (assume @p33 (forall @t83 (or @t112 (= @t110 (tptp.hAPP @t117 @t28))))) % 0.32/0.82 (assume @p34 (forall @t116 (or @t112 (= @t115 (tptp.hAPP @t117 @t30))))) % 0.32/0.82 (assume @p35 (forall @t83 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t111))) % 0.32/0.82 (assume @p36 (forall @t83 (or @t118 (= @t108 (tptp.hAPP @t77 @t80))))) % 0.32/0.82 (assume @p37 (forall @t83 (or @t118 @t111))) % 0.32/0.82 (assume @p38 (forall (@list @t102 @t16 @t119) (= (tptp.hAPP (tptp.hAPP @t103 @t122) @t119) (tptp.hAPP @t121 @t120)))) % 0.32/0.82 (assume @p39 (forall @t126 (= (tptp.hAPP @t123 (tptp.hAPP @t125 @t96)) (tptp.hAPP @t125 @t124)))) % 0.32/0.82 (assume @p40 (forall @t127 (or @t101 (= @t100 (tptp.hAPP @t99 @t98))))) % 0.32/0.82 (assume @p41 (forall @t127 (or @t112 (= @t100 (tptp.hAPP (tptp.hAPP @t76 @t128) @t96))))) % 0.32/0.82 (assume @p42 (forall @t132 (or @t67 (tptp.c_List_Olinorder__class_Osorted @t131 @t1) @t130))) % 0.32/0.82 (assume @p43 (forall @t134 (or @t40 (= @t133 (tptp.c_List_Ofoldl @t76 @t39 @t3 @t1 @t1))))) % 0.32/0.82 (assume @p44 (forall (@list @t10 @t135 @t136) (or (not (tptp.hBOOL (tptp.hAPP @t10 (tptp.c_List_Olist_Olist__case @t135 @t136 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t10 @t135))))) % 0.32/0.82 (assume @p45 (forall (@list @t22 @t1 @t3) (or (not (= @t58 @t57)) @t137))) % 0.32/0.82 (assume @p46 (forall (@list @t33 @t2 @t3 @t1 @t22) (or @t139 (tptp.c_ListOrder_Ostep1 @t33 (tptp.c_List_Oappend @t2 @t22 @t1) @t138 @t1)))) % 0.32/0.82 (assume @p47 (forall (@list @t33 @t22 @t141 @t1 @t140) (or (tptp.c_ListOrder_Ostep1 @t33 (tptp.c_List_Oappend @t22 @t141 @t1) (tptp.c_List_Oappend @t22 @t140 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t33 @t141 @t140 @t1))))) % 0.32/0.82 (assume @p48 (forall @t72 (= (tptp.c_List_Otake @t74 @t71 @t1) @t58))) % 0.32/0.82 (assume @p49 (forall @t145 (or (= @t144 @t13) @t143))) % 0.32/0.82 (assume @p50 (forall @t14 (tptp.c_List_Olist__all @t10 @t13 @t1))) % 0.32/0.82 (assume @p51 (forall @t149 (or @t148 @t146))) % 0.32/0.82 (assume @p52 (forall (@list @t2 @t3 @t1 @t26) (or (not (= (tptp.c_List_Oappend @t2 @t3 @t1) (tptp.c_List_Oappend @t26 @t3 @t1))) @t150))) % 0.32/0.82 (assume @p53 (forall @t151 (or (not (= @t4 (tptp.c_List_Oappend @t3 @t26 @t1))) @t150))) % 0.32/0.82 (assume @p54 (forall @t132 (or @t67 (tptp.c_List_Olinorder__class_Osorted @t19 @t1) @t130))) % 0.32/0.82 (assume @p55 (forall (@list @t3 @t22 @t2 @t1) (= (tptp.c_List_Onth @t153 @t6 @t1) @t22))) % 0.32/0.82 (assume @p56 (forall @t154 (= (tptp.c_List_Otake @t16 @t13 @t1) @t13))) % 0.32/0.82 (assume @p57 (forall @t12 (= @t155 (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize @t155 @t5) @t3 @t1)))) % 0.32/0.82 (assume @p58 (forall @t157 (= @t156 @t3))) % 0.32/0.82 (assume @p59 (forall @t60 (= @t22 (tptp.c_List_Oappend @t13 @t22 @t1)))) % 0.32/0.82 (assume @p60 (forall @t157 (= @t3 @t156))) % 0.32/0.82 (assume @p61 (forall (@list @t1 @t2) (= @t158 @t2))) % 0.32/0.82 (assume @p62 (forall @t159 (= @t2 @t158))) % 0.32/0.82 (assume @p63 (forall @t161 (or @t8 @t160))) % 0.32/0.82 (assume @p64 (forall (@list @t2 @t1 @t3) (or (tptp.c_List_Odistinct @t2 @t1) @t160))) % 0.32/0.82 (assume @p65 (forall @t157 (= @t3 @t162))) % 0.32/0.82 (assume @p66 (forall @t159 (= (tptp.c_List_Orev @t54 @t1) @t2))) % 0.32/0.82 (assume @p67 (forall @t157 (= @t162 @t3))) % 0.32/0.82 (assume @p68 (forall @t161 (= @t3 (tptp.c_List_Otake @t6 @t4 @t1)))) % 0.32/0.82 (assume @p69 (forall (@list @t10 @t3 @t2 @t1 @t21) (or @t88 (not @t164)))) % 0.32/0.82 (assume @p70 (forall @t165 (or @t164 @t89))) % 0.32/0.82 (assume @p71 (forall @t170 (= (tptp.c_Lambda_Osubstn @t169 @t32 @t119) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t168 @t32 @t167))))) % 0.32/0.82 (assume @p72 (forall (@list @t1 @t29 @t31) (or @t112 (= @t80 @t171)))) % 0.32/0.82 (assume @p73 (forall (@list @t1 @t29 @t28) (or @t118 (= @t84 @t172)))) % 0.32/0.82 (assume @p74 (forall @t173 (= @t122 @t105))) % 0.32/0.82 (assume @p75 (forall @t46 (or @t112 (= @t128 (tptp.hAPP @t99 @t22))))) % 0.32/0.82 (assume @p76 (forall (@list @t1 @t22 @t42 @t26) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t76 @t128 @t26 @t1 @t1) (tptp.hAPP @t97 (tptp.c_List_Ofoldl @t76 @t42 @t26 @t1 @t1)))))) % 0.32/0.82 (assume @p77 (forall @t175 (= (tptp.c_List_Orev @t174 @t1) @t174))) % 0.32/0.82 (assume @p78 (forall (@list @t33 @t42 @t22 @t2 @t1 @t3) (or @t66 @t176 @t63))) % 0.32/0.82 (assume @p79 (forall @t179 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t178 @t177)) @t146))) % 0.32/0.82 (assume @p80 (forall @t180 (or (not (= @t57 @t58)) @t137))) % 0.32/0.82 (assume @p81 (forall (@list @t183 @t93 @t181) (or (= (tptp.hAPP @t183 @t93) @t181) (not (tptp.c_Type_Otyping @t183 @t182 @t181))))) % 0.32/0.82 (assume @p82 (forall @t154 (= (tptp.c_List_Odrop @t16 @t13 @t1) @t13))) % 0.32/0.82 (assume @p83 (forall (@list @t185 @t184 @t21 @t1 @t187 @t22) (= @t189 @t186))) % 0.32/0.82 (assume @p84 (forall (@list @t29 @t28 @t190 @t187 @t21 @t1) (= @t192 (tptp.hAPP @t191 @t190)))) % 0.32/0.82 (assume @p85 (forall (@list @t195 @t193) (not (= @t196 @t194)))) % 0.32/0.82 (assume @p86 (forall (@list @t3 @t1 @t2 @t21 @t10) (or @t197 @t89))) % 0.32/0.82 (assume @p87 (forall @t198 (or @t112 (= (tptp.c_Power_Opower__class_Opower @t22 @t74 @t1) @t22)))) % 0.32/0.82 (assume @p88 (forall @t199 (or @t90 (= (tptp.c_Power_Opower__class_Opower @t29 @t74 @t1) @t29)))) % 0.32/0.82 (assume @p89 (forall (@list @t33 @t1 @t3) (not (tptp.c_ListOrder_Ostep1 @t33 @t13 @t3 @t1)))) % 0.32/0.82 (assume @p90 (forall (@list @t33 @t3 @t1) (not (tptp.c_ListOrder_Ostep1 @t33 @t3 @t13 @t1)))) % 0.32/0.82 (assume @p91 (forall (@list @t1 @t22 @t26) (or @t40 (= (tptp.hAPP @t97 (tptp.c_List_Ofoldl @t76 @t39 @t26 @t1 @t1)) (tptp.c_List_Ofoldl @t76 @t22 @t26 @t1 @t1))))) % 0.32/0.82 (assume @p92 (forall @t202 (or (= @t201 @t174) @t200))) % 0.32/0.82 (assume @p93 (forall (@list @t185 @t29 @t21 @t1) (= (tptp.c_List_Ofoldl @t185 @t29 @t203 @t1 @t21) @t29))) % 0.32/0.82 (assume @p94 (forall (@list @t183 @t22 @t181 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t183 @t22 @t181 @t1) @t22) @t181))) % 0.32/0.82 (assume @p95 (forall (@list @t16 @t204 @t33 @t35) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t205 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t34 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.32/0.82 (assume @p96 (forall @t127 (or @t45 @t207))) % 0.32/0.82 (assume @p97 (forall @t127 (or @t45 @t208))) % 0.32/0.82 (assume @p98 (forall @t127 (or @t47 @t208))) % 0.32/0.82 (assume @p99 (forall @t127 (or @t47 @t207))) % 0.32/0.82 (assume @p100 (forall (@list @t49 @t50 @t1 @t209) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t209 @t48) @t210))) % 0.32/0.82 (assume @p101 (forall (@list @t49 @t50 @t209 @t1) (= @t210 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t209 @t48) @t48)))) % 0.32/0.82 (assume @p102 (forall @t212 (or @t211 @t18))) % 0.32/0.82 (assume @p103 (forall @t212 (or @t211 @t213))) % 0.32/0.82 (assume @p104 (forall (@list @t214 @t193) (or (not (= (tptp.c_Lambda_OdB_OAbs @t214) @t194)) (= @t214 @t193)))) % 0.32/0.82 (assume @p105 (forall (@list @t119 @t1 @t21 @t215) (= (tptp.c_List_Omap (tptp.c_COMBK @t119 @t1 @t21) @t215 @t21 @t1) (tptp.c_List_Oreplicate (tptp.c_Nat_Osize__class_Osize @t215 @t24) @t119 @t1)))) % 0.32/0.82 (assume @p106 (forall (@list @t1 @t119 @t22) (= (tptp.c_List_Olist__update @t13 @t119 @t22 @t1) @t13))) % 0.32/0.82 (assume @p107 (forall (@list @t1 @t93 @t42) (= (tptp.c_List_Olist__update @t13 @t93 @t42 @t1) @t13))) % 0.32/0.82 (assume @p108 (forall (@list @t1 @t93 @t190) (= (tptp.c_List_Olist__update @t13 @t93 @t190 @t1) @t13))) % 0.32/0.82 (assume @p109 (forall @t126 (or (not (= (tptp.hAPP @t123 @t42) @t124)) @t216))) % 0.32/0.82 (assume @p110 (forall (@list @t102 @t119 @t16) (or (not (= (tptp.hAPP @t121 @t119) @t120)) @t146))) % 0.32/0.82 (assume @p111 (forall (@list @t119 @t102 @t16) (or (not (= (tptp.hAPP @t166 @t102) (tptp.hAPP @t166 @t16))) @t146))) % 0.32/0.82 (assume @p112 (forall @t127 (or @t218 @t217 (not (= @t128 @t98)) @t216))) % 0.32/0.82 (assume @p113 (forall @t83 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t220 @t219))) % 0.32/0.82 (assume @p114 (forall @t83 (or @t221 @t220 @t219))) % 0.32/0.82 (assume @p115 (forall (@list @t1 @t28 @t29 @t31) (or @t221 (not (= @t172 @t171)) @t219))) % 0.32/0.82 (assume @p116 (forall @t72 (= (tptp.c_List_Odrop @t74 @t71 @t1) @t3))) % 0.32/0.82 (assume @p117 (forall (@list @t1 @t10 @t3) (or @t67 (tptp.c_List_Olinorder__class_Osorted @t155 @t1) @t130))) % 0.32/0.82 (assume @p118 (forall (@list @t33 @t204 @t32) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t33 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t32 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t222))) % 0.32/0.82 (assume @p119 (forall @t20 (= (tptp.c_List_Oappend @t19 @t131 @t1) @t3))) % 0.32/0.82 (assume @p120 (forall @t60 (= (tptp.c_List_Oremove1 @t22 @t13 @t1) @t13))) % 0.32/0.82 (assume @p121 (forall (@list @t1 @t29 @t28 @t31 @t30) (or @t112 (= (tptp.hAPP @t109 @t114) (tptp.hAPP @t117 (tptp.hAPP @t77 @t30)))))) % 0.32/0.82 (assume @p122 (forall (@list @t95 @t32 @t168) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t224 @t32) (tptp.hAPP @t224 @t168)) @t223))) % 0.32/0.82 (assume @p123 (forall (@list @t32 @t95 @t168) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t227 @t95) @t226) @t223))) % 0.32/0.82 (assume @p124 (forall (@list @t2 @t1 @t42) (= (tptp.c_List_Orev @t55 @t1) @t56))) % 0.32/0.82 (assume @p125 (forall @t228 (or (tptp.c_List_Odistinct (tptp.c_List_Odrop @t93 @t3 @t1) @t1) @t9))) % 0.32/0.82 (assume @p126 (forall @t157 (or @t229 @t9))) % 0.32/0.82 (assume @p127 (forall @t157 (or @t8 (not @t229)))) % 0.32/0.82 (assume @p128 (forall (@list @t16 @t32 @t168 @t119) (= (tptp.c_Lambda_Oliftn @t16 @t230 @t119) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t16 @t32 @t119)) (tptp.c_Lambda_Oliftn @t16 @t168 @t119))))) % 0.32/0.82 (assume @p129 (forall @t60 (= @t231 @t13))) % 0.32/0.82 (assume @p130 (forall (@list @t135 @t136 @t21 @t1) (= (tptp.c_List_Olist_Olist__case @t135 @t136 @t203 @t1 @t21) @t135))) % 0.32/0.82 (assume @p131 (forall @t157 (or (not (= @t57 @t13)) @t18))) % 0.32/0.82 (assume @p132 (forall @t235 (or @t234 @t233 (not @t232) @t89))) % 0.32/0.82 (assume @p133 (forall @t154 (= (tptp.c_List_Orotate @t16 @t13 @t1) @t13))) % 0.32/0.82 (assume @p134 (forall (@list @t3 @t93 @t22 @t1) (= (tptp.c_Nat_Osize__class_Osize @t94 @t5) @t6))) % 0.32/0.82 (assume @p135 (forall @t72 (= @t71 @t236))) % 0.32/0.82 (assume @p136 (forall @t60 (= @t58 @t59))) % 0.32/0.82 (assume @p137 (forall @t238 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t225 @t182))) @t237))) % 0.32/0.82 (assume @p138 (forall (@list @t241 @t95 @t242 @t93 @t168 @t181) (or (not (tptp.c_Type_Otyping @t241 @t95 @t242)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t241 @t93 @t242 tptp.tc_Type_Otype) @t168 @t181)) (tptp.c_Type_Otyping @t241 @t240 @t181)))) % 0.32/0.82 (assume @p139 (forall (@list @t2 @t3 @t33 @t1 @t42 @t22) (or @t243 @t64 @t63))) % 0.32/0.82 (assume @p140 (forall @t41 (= @t13 @t244))) % 0.32/0.82 (assume @p141 (forall (@list @t50 @t22 @t49 @t1) (or @t247 @t246))) % 0.32/0.82 (assume @p142 (forall (@list @t49 @t22 @t50 @t1) (or @t248 @t246))) % 0.32/0.82 (assume @p143 (forall @t253 (or @t252 (not @t251) @t250))) % 0.32/0.82 (assume @p144 (forall @t198 (or @t67 (tptp.c_List_Olinorder__class_Osorted @t58 @t1)))) % 0.32/0.82 (assume @p145 (forall (@list @t32 @t168 @t16 @t35) (not (= @t256 @t254)))) % 0.32/0.82 (assume @p146 (forall @t228 (or (tptp.c_List_Odistinct (tptp.c_List_Otake @t93 @t3 @t1) @t1) @t9))) % 0.32/0.82 (assume @p147 (forall @t257 (or (tptp.c_Lambda_Obeta @t255 @t169) @t223))) % 0.32/0.82 (assume @p148 (forall (@list @t93 @t22 @t1) (= (tptp.c_List_Oappend @t258 @t58 @t1) (tptp.c_List_Olist_OCons @t22 @t258 @t1)))) % 0.32/0.82 (assume @p149 (forall @t41 (= @t259 @t13))) % 0.32/0.82 (assume @p150 (forall @t12 (or (tptp.c_List_Odistinct @t155 @t1) @t9))) % 0.32/0.82 (assume @p151 (forall @t260 (= (tptp.c_Lambda_Osubstn @t226 @t32 @t119) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t168 @t32 @t119)) (tptp.c_Lambda_Osubstn @t95 @t32 @t119))))) % 0.32/0.82 (assume @p152 (forall @t70 (= (tptp.c_List_Orev @t4 @t1) (tptp.c_List_Oappend @t54 @t57 @t1)))) % 0.32/0.82 (assume @p153 (forall (@list @t185 @t29 @t3 @t2 @t21 @t1) (= (tptp.c_List_Ofoldl @t185 @t29 @t261 @t1 @t21) (tptp.c_List_Ofoldl @t185 (tptp.c_List_Ofoldl @t185 @t29 @t3 @t1 @t21) @t2 @t1 @t21)))) % 0.32/0.82 (assume @p154 (forall (@list @t102 @t16 @t3 @t1) (= (tptp.c_List_Orotate @t102 @t262 @t1) (tptp.c_List_Orotate @t122 @t3 @t1)))) % 0.32/0.82 (assume @p155 (forall (@list @t264 @t263 @t195) (not (= @t265 @t196)))) % 0.32/0.82 (assume @p156 (forall @t253 (= (tptp.c_List_Ofilter @t10 @t4 @t1) (tptp.c_List_Oappend @t11 @t266 @t1)))) % 0.32/0.82 (assume @p157 (forall (@list @t3 @t119 @t22 @t1) (or (not (= (tptp.c_List_Olist__update @t3 @t119 @t22 @t1) @t13)) @t18))) % 0.32/0.82 (assume @p158 (forall @t165 (or @t268 (not @t267)))) % 0.32/0.82 (assume @p159 (forall (@list @t10 @t3 @t2 @t21 @t1) (or @t267 (not @t268)))) % 0.32/0.82 (assume @p160 (forall (@list @t16 @t269) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t205 @t269 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t269 tptp.tc_Lambda_OdB))))) % 0.32/0.82 (assume @p161 (forall @t276 (or @t275 @t274 @t273 @t272 @t271 @t270))) % 0.32/0.82 (assume @p162 (forall @t276 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t271 @t270))) % 0.32/0.82 (assume @p163 (forall @t41 (or @t275 (not (= @t73 @t39))))) % 0.32/0.82 (assume @p164 (forall @t199 (or @t82 (not (= (tptp.hAPP @t79 @t29) @t39)) @t270))) % 0.32/0.82 (assume @p165 (forall (@list @t1 @t22 @t29) (or @t218 @t217 (not (= @t22 (tptp.hAPP @t97 @t29))) @t270))) % 0.32/0.82 (assume @p166 (forall @t41 (or @t82 (= (tptp.hAPP @t277 @t39) @t39)))) % 0.32/0.82 (assume @p167 (forall @t41 (or @t275 (not (= @t39 @t73))))) % 0.32/0.82 (assume @p168 (forall @t198 (or @t112 (= (tptp.hAPP @t277 @t22) @t22)))) % 0.32/0.82 (assume @p169 (forall @t199 (or @t118 @t278))) % 0.32/0.83 (assume @p170 (forall @t198 (or @t218 @t217 (= @t22 (tptp.hAPP @t97 @t39))))) % 0.32/0.83 (assume @p171 (forall @t199 (or @t118 @t279))) % 0.32/0.83 (assume @p172 (forall @t199 (or @t40 @t278))) % 0.32/0.83 (assume @p173 (forall @t199 (or @t40 @t279))) % 0.32/0.83 (assume @p174 (forall @t199 (or @t112 @t279))) % 0.32/0.83 (assume @p175 (forall @t199 (or @t112 @t278))) % 0.32/0.83 (assume @p176 (forall @t41 (or @t280 @t272 (= (tptp.c_Power_Opower__class_Opower @t39 @t15 @t1) @t73)))) % 0.32/0.83 (assume @p177 (forall (@list @t168 @t119) (= (tptp.c_Lambda_Oliftn @t15 @t168 @t119) @t168))) % 0.32/0.83 (assume @p178 (forall @t173 (or @t281 @t17))) % 0.32/0.83 (assume @p179 (forall @t173 (or @t281 @t282))) % 0.32/0.83 (assume @p180 (forall (@list @t22 @t29) (or (not (= @t22 (tptp.hAPP @t123 @t29))) (= @t29 @t15)))) % 0.32/0.83 (assume @p181 (forall @t173 (or (not (= @t122 @t102)) @t17))) % 0.32/0.83 (assume @p182 (= (tptp.hAPP @t283 @t15) @t15)) % 0.32/0.83 (assume @p183 (forall @t157 (= (tptp.c_List_Odrop @t15 @t3 @t1) @t3))) % 0.32/0.83 (assume @p184 (forall (@list @t22 @t1 @t42) (= @t231 (tptp.c_List_Oreplicate @t15 @t42 @t1)))) % 0.32/0.83 (assume @p185 (forall @t149 (or @t148 @t284 @t282))) % 0.32/0.83 (assume @p186 (forall (@list @t22) (= @t22 (tptp.hAPP @t123 @t15)))) % 0.32/0.83 (assume @p187 (forall @t285 (= (tptp.hAPP @t283 @t16) @t16))) % 0.32/0.83 (assume @p188 (forall (@list @t102) (= (tptp.hAPP @t121 @t15) @t102))) % 0.32/0.83 (assume @p189 (forall @t72 (= (tptp.c_List_Otake @t15 @t71 @t1) @t13))) % 0.32/0.83 (assume @p190 (forall (@list @t10 @t135 @t136 @t23 @t286) (or (not (tptp.hBOOL (tptp.hAPP @t10 (tptp.c_List_Olist_Olist__case @t135 @t136 (tptp.c_List_Olist_OCons @t23 @t286 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t10 (tptp.hAPP (tptp.hAPP @t136 @t23) @t286)))))) % 0.32/0.83 (assume @p191 (forall (@list @t10 @t135 @t136 @t29 @t287) (or (not (tptp.hBOOL (tptp.hAPP @t10 (tptp.c_List_Olist_Olist__case @t135 @t136 (tptp.c_List_Olist_OCons @t29 @t287 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t10 @t288))))) % 0.32/0.83 (assume @p192 (forall @t145 (or (= @t289 @t11) @t143))) % 0.32/0.83 (assume @p193 (forall @t145 (or @t290 @t250 @t200))) % 0.32/0.83 (assume @p194 (forall (@list @t33 @t22 @t2 @t1 @t3) (or (tptp.c_ListOrder_Ostep1 @t33 @t152 @t71 @t1) @t139))) % 0.32/0.83 (assume @p195 (forall @t292 (or @t64 @t66 @t291))) % 0.32/0.83 (assume @p196 (forall (@list @t1 @t294 @t293) (not (= @t13 @t295)))) % 0.32/0.83 (assume @p197 (forall @t292 (or @t64 @t69 @t291))) % 0.32/0.83 (assume @p198 (forall @t298 (or (= (tptp.c_List_Oremove1 @t22 @t297 @t1) (tptp.c_List_Olist_OCons @t42 @t296 @t1)) @t284))) % 0.32/0.83 (assume @p199 (forall (@list @t10 @t22 @t23 @t1 @t42 @t2 @t21) (or (tptp.c_List_Olist__all2 @t10 @t302 @t301 @t1 @t21) (not (tptp.c_List_Olist__all2 @t10 @t23 @t2 @t1 @t21)) @t300))) % 0.32/0.83 (assume @p200 (forall (@list @t10 @t22 @t3 @t1 @t23 @t286 @t21) (or (tptp.c_List_Olist__all2 @t10 @t71 @t303 @t1 @t21) (not (tptp.c_List_Olist__all2 @t10 @t3 @t286 @t1 @t21)) (not (tptp.hBOOL (tptp.hAPP @t142 @t23)))))) % 0.32/0.83 (assume @p201 (forall (@list @t10 @t22 @t3 @t1 @t42 @t2 @t21) (or @t304 @t89 @t300))) % 0.32/0.83 (assume @p202 (forall @t72 (tptp.c_List_OListMem @t22 @t71 @t1))) % 0.32/0.83 (assume @p203 (forall (@list @t10 @t3 @t2 @t1 @t21 @t22 @t42) (or @t88 @t305))) % 0.32/0.83 (assume @p204 (forall (@list @t10 @t2 @t1 @t22 @t3) (or (not (= @t266 @t71)) @t143))) % 0.32/0.83 (assume @p205 (forall @t70 (or @t306 @t18))) % 0.32/0.83 (assume @p206 (forall @t70 (or @t306 @t213))) % 0.32/0.83 (assume @p207 (forall @t41 (= (tptp.c_Nat_Osize__class_Osize @t13 @t5) @t15))) % 0.32/0.83 (assume @p208 (forall (@list @t3 @t1 @t26) (or (not (= @t3 (tptp.c_List_Otake @t6 @t26 @t1))) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Odrop @t6 @t26 @t1) @t1) @t26)))) % 0.32/0.83 (assume @p209 (forall (@list @t195 @t264 @t263) (not (= @t196 @t265)))) % 0.32/0.83 (assume @p210 (forall @t72 (or (tptp.c_List_Odistinct @t296 @t1) @t9))) % 0.32/0.83 (assume @p211 (forall (@list @t102 @t32 @t35) (or (not (= @t307 @t36)) (= @t307 @t32)))) % 0.32/0.83 (assume @p212 (forall @t235 (or @t234 @t88 @t308))) % 0.32/0.83 (assume @p213 (forall @t235 (or @t234 @t232 @t308))) % 0.32/0.83 (assume @p214 (forall (@list @t33 @t35 @t32) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t33 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t36) @t309))) % 0.32/0.83 (assume @p215 (forall @t20 (= (tptp.c_Nat_Osize__class_Osize @t262 @t5) @t6))) % 0.32/0.83 (assume @p216 (forall (@list @t10 @t3 @t22 @t310 @t1) (or (= (tptp.c_List_OtakeWhile @t10 (tptp.c_List_Oappend @t3 (tptp.c_List_Olist_OCons @t22 @t310 @t1) @t1) @t1) @t155) @t143))) % 0.32/0.83 (assume @p217 (forall @t198 (= @t13 @t231))) % 0.32/0.83 (assume @p218 (forall @t257 (tptp.c_Lambda_Obeta @t256 (tptp.hAPP @t311 @t15)))) % 0.32/0.83 (assume @p219 (forall @t70 (= (tptp.c_Nat_Osize__class_Osize @t4 @t5) (tptp.hAPP @t312 @t25)))) % 0.32/0.83 (assume @p220 (forall @t313 (or @t40 (= (tptp.c_List_Olistsum @t71 @t1) (tptp.hAPP @t97 @t133))))) % 0.32/0.83 (assume @p221 (forall (@list @t16 @t32 @t119) (= (tptp.c_Lambda_Oliftn @t16 @t255 @t119) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t16 @t32 @t167))))) % 0.32/0.83 (assume @p222 (forall (@list @t181 @t242 @t183 @t93 @t204) (or (= @t181 @t242) (not (tptp.c_Type_Otyping @t183 @t314 @t242)) (not (tptp.c_Type_Otyping @t183 @t314 @t181))))) % 0.32/0.83 (assume @p223 (forall (@list @t16 @t22 @t1 @t119) (= (tptp.c_List_Oappend @t174 @t315 @t1) (tptp.c_List_Oappend @t315 @t174 @t1)))) % 0.32/0.83 (assume @p224 (forall @t320 (or @t319 (= @t316 @t263)))) % 0.32/0.83 (assume @p225 (forall @t320 (or @t319 (= @t317 @t264)))) % 0.32/0.83 (assume @p226 (forall (@list @t10 @t16 @t322 @t1 @t321 @t21) (or (tptp.c_List_Olist__all2 @t10 (tptp.c_List_Odrop @t16 @t322 @t1) (tptp.c_List_Odrop @t16 @t321 @t21) @t1 @t21) (not (tptp.c_List_Olist__all2 @t10 @t322 @t321 @t1 @t21))))) % 0.32/0.83 (assume @p227 (forall @t325 (or @t324 @t323))) % 0.32/0.83 (assume @p228 (forall @t325 (or @t324 @t222))) % 0.32/0.83 (assume @p229 (forall (@list @t32 @t35 @t33) (or (not (= @t36 @t34)) (= @t32 @t34)))) % 0.32/0.83 (assume @p230 (forall @t41 (tptp.c_List_Odistinct @t13 @t1))) % 0.32/0.83 (assume @p231 (forall (@list @t93 @t168) (not (tptp.c_Lambda_Obeta @t182 @t168)))) % 0.32/0.83 (assume @p232 (forall (@list @t22 @t10 @t3 @t1) (or (= (tptp.c_List_Oremove1 @t22 @t11 @t1) @t11) @t143))) % 0.32/0.83 (assume @p233 (forall @t202 (or (= @t201 @t13) @t143))) % 0.32/0.83 (assume @p234 (forall @t107 (= (tptp.c_List_Odrop @t16 @t106 @t1) (tptp.c_List_Odrop @t105 @t3 @t1)))) % 0.32/0.83 (assume @p235 (forall (@list @t16 @t102 @t22 @t1) (= (tptp.c_List_Oreplicate @t105 @t22 @t1) (tptp.c_List_Oappend @t174 @t147 @t1)))) % 0.32/0.83 (assume @p236 (forall (@list @t2 @t21 @t10 @t1) (or (= @t2 @t203) (not (tptp.c_List_Olist__all2 @t10 @t13 @t2 @t1 @t21))))) % 0.32/0.83 (assume @p237 (forall (@list @t3 @t1 @t10 @t21) (or @t18 (not (tptp.c_List_Olist__all2 @t10 @t3 @t203 @t1 @t21))))) % 0.32/0.83 (assume @p238 (forall @t157 (= (tptp.c_List_Otake @t15 @t3 @t1) @t13))) % 0.32/0.83 (assume @p239 (forall @t161 (or (not (= @t57 @t54)) @t69))) % 0.32/0.83 (assume @p240 (forall (@list @t2 @t3 @t42 @t22 @t33 @t1) (or @t243 @t176 @t63))) % 0.32/0.83 (assume @p241 (forall @t199 (or @t272 (= @t326 @t73)))) % 0.32/0.83 (assume @p242 (forall @t198 (or @t112 (= (tptp.c_Power_Opower__class_Opower @t22 @t15 @t1) @t73)))) % 0.32/0.83 (assume @p243 (forall (@list @t3 @t1 @t16) (or @t8 (not @t327)))) % 0.32/0.83 (assume @p244 (forall @t20 (or @t327 @t9))) % 0.32/0.83 (assume @p245 (forall @t175 (or (not (= @t174 @t13)) @t17))) % 0.32/0.83 (assume @p246 (forall @t134 (or @t118 (= (tptp.c_List_Olistsum @t57 @t1) @t133)))) % 0.32/0.83 (assume @p247 (forall (@list @t185 @t184 @t329 @t328 @t187 @t1 @t21) (= (tptp.c_Fun_Ocomp @t185 (tptp.c_Fun_Ocomp @t184 @t329 @t328 @t187 @t1) @t187 @t21 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t185 @t184 @t187 @t21 @t328) @t329 @t328 @t21 @t1)))) % 0.32/0.83 (assume @p248 (forall @t175 (= (tptp.c_Nat_Osize__class_Osize @t174 @t5) @t16))) % 0.32/0.83 (assume @p249 (forall (@list @t1 @t16 @t22) (or (not (= @t13 @t174)) @t17))) % 0.32/0.83 (assume @p250 (forall @t157 (or (not (= @t6 @t15)) @t18))) % 0.32/0.83 (assume @p251 (forall @t134 (or (not (= @t13 @t57)) @t18))) % 0.32/0.83 (assume @p252 (forall (@list @t3 @t93 @t1) (= (tptp.c_List_Olist__update @t3 @t93 (tptp.c_List_Onth @t3 @t93 @t1) @t1) @t3))) % 0.32/0.83 (assume @p253 (forall @t46 (or @t45 @t330))) % 0.32/0.83 (assume @p254 (forall @t46 (or @t47 @t330))) % 0.32/0.83 (assume @p255 (forall @t52 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t51 @t48) @t51))) % 0.32/0.83 (assume @p256 (forall @t20 (or (not (= @t262 @t13)) @t18))) % 0.32/0.83 (assume @p257 (forall (@list @t3 @t22 @t2 @t1 @t42) (= (tptp.c_List_Olist__update @t153 @t6 @t42 @t1) (tptp.c_List_Oappend @t3 @t56 @t1)))) % 0.32/0.83 (assume @p258 (forall @t70 (or (not (= @t4 @t3)) @t213))) % 0.32/0.83 (assume @p259 (forall @t70 (or (not (= @t3 @t4)) @t213))) % 0.32/0.83 (assume @p260 (forall @t70 (or (not (= @t4 @t2)) @t18))) % 0.32/0.83 (assume @p261 (forall @t7 (or (not (= @t2 @t4)) @t18))) % 0.32/0.83 (assume @p262 (forall @t313 (= @t236 @t71))) % 0.32/0.83 (assume @p263 (forall @t14 (= (tptp.c_List_OtakeWhile @t10 @t13 @t1) @t13))) % 0.32/0.83 (assume @p264 (forall @t198 (or @t47 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t22 @t1) @t22)))) % 0.32/0.83 (assume @p265 (forall @t331 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t49 @t48) @t49))) % 0.32/0.83 (assume @p266 (forall (@list @t16 @t3 @t1 @t42 @t2) (or (not (= @t131 @t56)) (= (tptp.c_List_Onth @t3 @t16 @t1) @t42)))) % 0.32/0.83 (assume @p267 (forall (@list @t333 @t1 @t334 @t332) (or (not (= (tptp.c_List_Oappend (tptp.c_List_Odrop @t337 @t334 @t1) @t336 @t1) @t332)) (not (= (tptp.c_List_Otake @t337 @t334 @t1) @t333)) (not (= @t334 (tptp.c_List_Otake @t335 @t333 @t1))) (= (tptp.c_List_Oappend @t334 @t336 @t1) (tptp.c_List_Oappend @t333 @t332 @t1))))) % 0.32/0.83 (assume @p268 (forall @t339 (or @t338 @t323))) % 0.32/0.83 (assume @p269 (forall @t339 (or @t338 @t146))) % 0.32/0.83 (assume @p270 (forall (@list @t183 @t341 @t181 @t168) (or (tptp.c_Type_Otyping @t183 @t341 @t181) (not (tptp.c_Lambda_Obeta @t168 @t341)) @t340))) % 0.32/0.83 (assume @p271 (forall @t212 (or @t67 @t129 @t342))) % 0.32/0.83 (assume @p272 (forall (@list @t1 @t2 @t3) (or @t67 (tptp.c_List_Olinorder__class_Osorted @t2 @t1) @t342))) % 0.32/0.83 (assume @p273 (forall (@list @t193 @t317 @t316) (not (= @t194 @t318)))) % 0.32/0.83 (assume @p274 (forall (@list @t3 @t93 @t22 @t1 @t343 @t344) (or (= (tptp.c_List_Olist__update @t94 @t343 @t344 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t3 @t343 @t344 @t1) @t93 @t22 @t1)) (= @t93 @t343)))) % 0.32/0.83 (assume @p275 (forall (@list @t195 @t345) (or (not (= @t196 (tptp.c_Lambda_OdB_OVar @t345))) (= @t195 @t345)))) % 0.32/0.83 (assume @p276 (forall @t12 (or @t249 (not @t346)))) % 0.32/0.83 (assume @p277 (forall @t12 (or @t346 @t250))) % 0.32/0.83 (assume @p278 (forall (@list @t317 @t316 @t193) (not (= @t318 @t194)))) % 0.32/0.83 (assume @p279 (forall (@list @t193 @t195) (not (= @t194 @t196)))) % 0.32/0.83 (assume @p280 (forall (@list @t16 @t22 @t1 @t3) (= (tptp.c_List_Oappend @t174 @t71 @t1) (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Oappend @t174 @t3 @t1) @t1)))) % 0.32/0.83 (assume @p281 (forall (@list @t29 @t28 @t187 @t21 @t1 @t31 @t30 @t328 @t190) (or (not (= @t191 (tptp.c_Fun_Ocomp @t31 @t30 @t328 @t21 @t1))) (= @t192 (tptp.hAPP @t31 (tptp.hAPP @t30 @t190)))))) % 0.32/0.83 (assume @p282 (forall (@list @t185 @t184 @t22 @t349 @t348 @t344 @t21 @t1 @t187 @t328 @t347) (or (not (= @t186 (tptp.hAPP @t349 (tptp.hAPP @t348 @t344)))) (= @t189 (tptp.hAPP (tptp.c_Fun_Ocomp @t349 @t348 @t328 @t1 @t347) @t344))))) % 0.32/0.83 (assume @p283 (forall @t41 (= @t13 @t259))) % 0.32/0.83 (assume @p284 (forall @t157 (= (tptp.c_Nat_Osize__class_Osize @t57 @t5) @t6))) % 0.32/0.83 (assume @p285 (forall (@list @t3 @t2 @t1 @t16) (= (tptp.c_List_Onth @t4 (tptp.hAPP @t312 @t16) @t1) (tptp.c_List_Onth @t2 @t16 @t1)))) % 0.32/0.83 (assume @p286 (forall @t179 (or @t75 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t122 @t1) (tptp.hAPP (tptp.hAPP @t76 @t178) @t177))))) % 0.32/0.83 (assume @p287 (forall (@list @t10 @t1 @t21) (tptp.c_List_Olist__all2 @t10 @t13 @t203 @t1 @t21))) % 0.32/0.83 (assume @p288 (forall (@list @t49 @t50 @t1 @t22) (or @t245 (not @t247) (not @t248)))) % 0.32/0.83 (assume @p289 (forall @t12 (= (tptp.c_List_Orev @t11 @t1) (tptp.c_List_Ofilter @t10 @t57 @t1)))) % 0.32/0.83 (assume @p290 (forall @t212 (or @t40 (= (tptp.c_List_Olistsum @t4 @t1) (tptp.hAPP (tptp.hAPP @t76 @t133) (tptp.c_List_Olistsum @t2 @t1)))))) % 0.32/0.83 (assume @p291 (forall @t198 (tptp.c_List_Olist__all2 @t68 @t22 @t22 @t1 @t1))) % 0.32/0.83 (assume @p292 (forall @t351 (or @t350 @t69))) % 0.32/0.83 (assume @p293 (forall @t351 (or @t350 @t284))) % 0.32/0.83 (assume @p294 (forall (@list @t10 @t3 @t1 @t2) (or @t249 @t352))) % 0.32/0.83 (assume @p295 (forall (@list @t10 @t2 @t1 @t3) (or @t251 @t352))) % 0.32/0.83 (assume @p296 (forall @t41 (= @t244 @t13))) % 0.32/0.83 (assume @p297 (forall (@list @t32 @t119) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t255) @t119) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t353 @t167))))) % 0.32/0.83 (assume @p298 (forall (@list @t3 @t93 @t22 @t1 @t42) (= (tptp.c_List_Olist__update @t94 @t93 @t42 @t1) (tptp.c_List_Olist__update @t3 @t93 @t42 @t1)))) % 0.32/0.83 (assume @p299 (forall @t151 (= (tptp.c_List_Oappend @t4 @t26 @t1) (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t2 @t26 @t1) @t1)))) % 0.32/0.83 (assume @p300 (forall (@list @t3 @t354 @t140 @t1) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t354 @t140 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t3 @t354 @t1) @t140 @t1)))) % 0.32/0.83 (assume @p301 (forall (@list @t26 @t22 @t1 @t2) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t26 @t22 @t1) @t2 @t1) (tptp.c_List_Oappend @t26 (tptp.c_List_Oappend @t22 @t2 @t1) @t1)))) % 0.32/0.83 (assume @p302 (forall (@list @t3 @t22 @t204 @t1) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t22 @t204 @t1) @t1) (tptp.c_List_Oappend @t138 @t204 @t1)))) % 0.32/0.83 (assume @p303 (forall (@list @t1 @t29 @t3) (or @t67 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 @t29 @t3 @t1) @t1) @t130))) % 0.32/0.83 (assume @p304 (forall (@list @t183 @t93 @t242 @t168 @t181) (or (tptp.c_Type_Otyping @t357 @t356 @t181) @t340))) % 0.32/0.83 (assume @p305 (forall (@list @t33 @t42 @t23 @t22 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t65 @t23))) (tptp.c_ListOrder_Ostep1 @t33 (tptp.c_List_Olist_OCons @t42 @t22 @t1) (tptp.c_List_Olist_OCons @t23 @t22 @t1) @t1)))) % 0.32/0.83 (assume @p306 (forall (@list @t22 @t42 @t3 @t2 @t33 @t1) (or @t284 @t69 @t291))) % 0.32/0.83 (assume @p307 (forall @t145 (or (= @t289 (tptp.c_List_Olist_OCons @t22 @t11 @t1)) @t200))) % 0.32/0.83 (assume @p308 (forall (@list @t22 @t3 @t1 @t10 @t2) (or (not (= @t71 @t266)) @t143))) % 0.32/0.83 (assume @p309 (forall (@list @t185 @t29 @t22 @t3 @t21 @t1) (= (tptp.c_List_Ofoldl @t185 @t29 @t358 @t1 @t21) (tptp.c_List_Ofoldl @t185 (tptp.hAPP (tptp.hAPP @t185 @t29) @t22) @t3 @t1 @t21)))) % 0.32/0.83 (assume @p310 (forall (@list @t1 @t42 @t26 @t22) (or @t67 (tptp.c_List_Olinorder__class_Osorted @t359 @t1) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t22 @t359 @t1) @t1))))) % 0.32/0.83 (assume @p311 (forall (@list @t22 @t23 @t1 @t26) (= @t361 @t360))) % 0.32/0.83 (assume @p312 (forall (@list @t22 @t3 @t1 @t2) (= (tptp.c_List_Oappend @t71 @t2 @t1) (tptp.c_List_Olist_OCons @t22 @t4 @t1)))) % 0.32/0.83 (assume @p313 (forall (@list @t135 @t136 @t29 @t287 @t21 @t1) (= (tptp.c_List_Olist_Olist__case @t135 @t136 (tptp.c_List_Olist_OCons @t29 @t287 @t21) @t1 @t21) @t288))) % 0.32/0.83 (assume @p314 (forall @t72 (= (tptp.c_List_Oremove1 @t22 @t71 @t1) @t3))) % 0.32/0.83 (assume @p315 (forall (@list @t10 @t22 @t42 @t3 @t1 @t2 @t21) (or @t299 @t305))) % 0.32/0.83 (assume @p316 (forall (@list @t22 @t23 @t26 @t1) (= @t360 @t361))) % 0.32/0.83 (assume @p317 (forall (@list @t22 @t354 @t26 @t1) (= (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Oappend @t354 @t26 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t22 @t354 @t1) @t26 @t1)))) % 0.32/0.83 (assume @p318 (forall (@list @t22 @t23 @t1) (not (= @t302 @t13)))) % 0.32/0.83 (assume @p319 (forall (@list @t294 @t293 @t1) (not (= @t295 @t13)))) % 0.32/0.83 (assume @p320 (forall (@list @t22 @t42 @t33 @t2 @t1 @t3) (or @t284 @t66 @t291))) % 0.32/0.83 (assume @p321 (forall (@list @t1 @t3 @t22) (or @t67 @t129 (not (tptp.c_List_Olinorder__class_Osorted @t71 @t1))))) % 0.32/0.83 (assume @p322 (forall @t145 (or (= @t144 (tptp.c_List_Olist_OCons @t22 @t155 @t1)) @t200))) % 0.32/0.83 (assume @p323 (forall (@list @t10 @t3 @t1 @t22) (or @t249 @t362))) % 0.32/0.83 (assume @p324 (forall @t145 (or @t143 @t362))) % 0.32/0.83 (assume @p325 (forall @t298 (or (tptp.c_List_OListMem @t22 @t297 @t1) (not (tptp.c_List_OListMem @t22 @t3 @t1))))) % 0.32/0.83 (assume @p326 (forall @t180 (or @t8 (not (tptp.c_List_Odistinct @t71 @t1))))) % 0.32/0.83 (assume @p327 (forall (@list @t1 @t21 @t3) (or @t40 (= (tptp.c_List_Olistsum (tptp.c_List_Omap (tptp.c_COMBK @t39 @t1 @t21) @t3 @t21 @t1) @t1) @t39)))) % 0.32/0.83 (assume @p328 (forall @t367 (or @t366 (= @t3 (tptp.c_List_Olist_OCons @t364 @t363 @t21))))) % 0.32/0.83 (assume @p329 (forall @t372 (or @t371 (= @t2 (tptp.c_List_Olist_OCons @t369 @t368 @t21))))) % 0.32/0.83 (assume @p330 (forall @t367 (or @t366 (= @t3 (tptp.c_List_Olist_OCons @t374 @t373 @t21))))) % 0.32/0.83 (assume @p331 (forall @t372 (or @t371 (= @t2 (tptp.c_List_Olist_OCons @t376 @t375 @t21))))) % 0.32/0.83 (assume @p332 (forall (@list @t168 @t32 @t16) (= (tptp.c_Lambda_Osubstn @t168 @t32 @t16) (tptp.hAPP (tptp.hAPP @t239 (tptp.c_Lambda_Oliftn @t16 @t32 @t15)) @t16)))) % 0.32/0.83 (assume @p333 (forall @t378 (or (not (= @t365 @t13)) @t377))) % 0.32/0.83 (assume @p334 (forall @t379 (= (tptp.c_List_Odrop @t16 @t365 @t1) (tptp.c_List_Omap @t185 (tptp.c_List_Odrop @t16 @t3 @t21) @t21 @t1)))) % 0.32/0.83 (assume @p335 (forall (@list @t185 @t3 @t1) (or (not (= (tptp.hAPP @t185 @t380) @t380)) (= (tptp.c_List_Omap @t185 @t3 @t1 @t1) @t3)))) % 0.32/0.83 (assume @p336 (forall (@list @t3 @t21 @t185 @t1) (or (tptp.c_List_Odistinct @t3 @t21) (not (tptp.c_List_Odistinct @t365 @t1))))) % 0.32/0.83 (assume @p337 (forall (@list @t185 @t3 @t2 @t21 @t1) (= (tptp.c_List_Omap @t185 @t261 @t21 @t1) (tptp.c_List_Oappend @t365 @t370 @t1)))) % 0.32/0.83 (assume @p338 (forall (@list @t185 @t3 @t21 @t1 @t2) (or (not (= @t365 @t370)) (= @t381 @t27)))) % 0.32/0.83 (assume @p339 (forall (@list @t1 @t185 @t3 @t21) (or (not (= @t13 @t365)) @t377))) % 0.32/0.83 (assume @p340 (forall (@list @t185 @t16 @t22 @t21 @t1) (= (tptp.c_List_Omap @t185 (tptp.c_List_Oreplicate @t16 @t22 @t21) @t21 @t1) (tptp.c_List_Oreplicate @t16 @t382 @t1)))) % 0.32/0.83 (assume @p341 (forall @t378 (= (tptp.c_Nat_Osize__class_Osize @t365 @t5) @t381))) % 0.32/0.83 (assume @p342 (forall @t379 (= (tptp.c_List_Orotate @t16 @t365 @t1) (tptp.c_List_Omap @t185 (tptp.c_List_Orotate @t16 @t3 @t21) @t21 @t1)))) % 0.32/0.83 (assume @p343 (forall @t378 (= (tptp.c_List_Orev @t365 @t1) (tptp.c_List_Omap @t185 (tptp.c_List_Orev @t3 @t21) @t21 @t1)))) % 0.32/0.83 (assume @p344 (forall (@list @t185 @t184 @t3 @t1 @t21) (or (not (= (tptp.hAPP @t185 @t383) (tptp.hAPP @t184 @t383))) (= (tptp.c_List_Omap @t185 @t3 @t1 @t21) (tptp.c_List_Omap @t184 @t3 @t1 @t21))))) % 0.32/0.83 (assume @p345 (forall @t379 (= (tptp.c_List_Otake @t16 @t365 @t1) (tptp.c_List_Omap @t185 (tptp.c_List_Otake @t16 @t3 @t21) @t21 @t1)))) % 0.32/0.83 (assume @p346 (forall (@list @t185 @t21 @t1) (= @t384 @t13))) % 0.32/0.83 (assume @p347 (forall (@list @t185 @t184 @t3 @t187 @t21 @t1) (= (tptp.c_List_Omap @t185 (tptp.c_List_Omap @t184 @t3 @t187 @t21) @t21 @t1) (tptp.c_List_Omap @t188 @t3 @t187 @t1)))) % 0.32/0.83 (assume @p348 (forall (@list @t185 @t184 @t22 @t1 @t21) (or (not (= (tptp.hAPP @t185 @t385) (tptp.hAPP @t184 @t385))) (= (tptp.c_List_Omap @t185 @t22 @t1 @t21) (tptp.c_List_Omap @t184 @t22 @t1 @t21))))) % 0.32/0.83 (assume @p349 (forall (@list @t185 @t184 @t3 @t21 @t1) (or (not (= (tptp.hAPP @t185 @t386) (tptp.hAPP @t184 @t386))) (= @t365 (tptp.c_List_Omap @t184 @t3 @t21 @t1))))) % 0.32/0.83 (assume @p350 (forall (@list @t185 @t3 @t119 @t42 @t21 @t1) (= (tptp.c_List_Omap @t185 (tptp.c_List_Olist__update @t3 @t119 @t42 @t21) @t21 @t1) (tptp.c_List_Olist__update @t365 @t119 (tptp.hAPP @t185 @t42) @t1)))) % 0.32/0.83 (assume @p351 (forall (@list @t1 @t185 @t21) (= @t13 @t384))) % 0.32/0.83 (assume @p352 (forall @t37 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t34) @t32) @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t32))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t387 @t32) @t15) @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.32/0.83 (assume @p353 (forall @t260 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t226) @t32) @t119) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t388 @t119)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t95) @t32) @t119))))) % 0.32/0.83 (assume @p354 (forall (@list @t119 @t95) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t119)) @t95) @t119) @t95))) % 0.32/0.83 (assume @p355 (forall (@list @t33 @t168 @t93 @t32) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t387 @t168) @t93) (tptp.hAPP @t311 @t93)) @t309))) % 0.32/0.83 (assume @p356 (forall @t170 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t169) @t32) @t119) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t239 (tptp.hAPP @t353 @t15)) @t167))))) % 0.32/0.83 (assume @p357 (forall @t285 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t205)))) % 0.32/0.83 (assume @p358 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.32/0.83 (assume @p359 (forall (@list @t33) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t34)) @t389))) % 0.32/0.83 (assume @p360 (forall (@list @t49 @t3 @t2 @t1) (or @t392 (not @t391) (not @t390)))) % 0.32/0.83 (assume @p361 (forall (@list @t49 @t3 @t1) (or @t390 (not (tptp.hBOOL (tptp.hAPP @t49 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t49 @t3 @t1))))))) % 0.32/0.83 (assume @p362 (forall (@list @t49 @t50 @t1 @t310) (or (tptp.c_List_Olistsp @t51 @t310 @t1) (not (tptp.c_List_Olistsp @t50 @t310 @t1)) (not (tptp.c_List_Olistsp @t49 @t310 @t1))))) % 0.32/0.83 (assume @p363 (forall @t331 (tptp.c_List_Olistsp @t49 @t13 @t1))) % 0.32/0.83 (assume @p364 (forall (@list @t49 @t2 @t1 @t3) (or @t391 @t393))) % 0.32/0.83 (assume @p365 (forall (@list @t49 @t3 @t1 @t2) (or @t390 @t393))) % 0.32/0.83 (assume @p366 (forall (@list @t32 @t168 @t119) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t230) @t119) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t353 @t119)) @t394)))) % 0.32/0.83 (assume @p367 (forall (@list @t33 @t93 @t32) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t33) @t93) (tptp.hAPP @t353 @t93)) @t309))) % 0.32/0.83 (assume @p368 (forall (@list @t399 @t396 @t397 @t395) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t400 @t399) @t396))) (not (tptp.c_Type_Otyping @t397 @t399 tptp.v_T____)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t399))) @t398))) % 0.32/0.83 (assume @p369 (forall (@list @t95 @t396 @t397 @t395) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t400 @t95) @t396))) (not (tptp.c_Type_Otyping @t397 @t95 tptp.v_T____)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t95))) @t398))) % 0.32/0.83 (assume @p370 (= tptp.v_n____ tptp.v_i____)) % 0.32/0.83 (assume @p371 (forall @t91 (or @t275 @t274 @t273 @t272 @t401 @t17))) % 0.32/0.83 (assume @p372 (forall @t91 (or @t280 @t272 @t401 @t17))) % 0.32/0.83 (assume @p373 (forall @t199 (or @t275 @t274 @t273 @t272 (not (= @t326 @t39))))) % 0.32/0.83 (assume @p374 (forall @t41 (or @t75 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1) @t39)))) % 0.32/0.83 (assume @p375 (forall (@list @t183 @t95 @t93 @t204 @t402 @t181) (or (tptp.c_Type_Otypings @t183 @t404 @t402) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t183 @t93 @t181 tptp.tc_Type_Otype) @t204 @t402)) (not (tptp.c_Type_Otyping @t183 @t95 @t181))))) % 0.32/0.83 (assume @p376 (forall @t72 (= (tptp.c_List_Onth @t71 @t15 @t1) @t22))) % 0.32/0.83 (assume @p377 (forall @t72 (= (tptp.c_List_Odrop @t15 @t71 @t1) @t71))) % 0.32/0.83 (assume @p378 (forall (@list @t22 @t3 @t1 @t42) (= (tptp.c_List_Olist__update @t71 @t15 @t42 @t1) @t297))) % 0.32/0.83 (assume @p379 (forall @t367 (or @t366 (= (tptp.c_List_Omap @t185 @t373 @t21 @t1) @t2)))) % 0.32/0.83 (assume @p380 (forall @t372 (or @t371 (= @t3 (tptp.c_List_Omap @t185 @t368 @t21 @t1))))) % 0.32/0.83 (assume @p381 (forall @t367 (or @t366 (= (tptp.hAPP @t185 @t374) @t42)))) % 0.32/0.83 (assume @p382 (forall @t367 (or @t366 (= (tptp.hAPP @t185 @t364) @t42)))) % 0.32/0.83 (assume @p383 (forall @t367 (or @t366 (= (tptp.c_List_Omap @t185 @t363 @t21 @t1) @t2)))) % 0.32/0.83 (assume @p384 (forall @t372 (or @t371 (= @t22 (tptp.hAPP @t185 @t369))))) % 0.32/0.83 (assume @p385 (forall @t372 (or @t371 (= @t22 (tptp.hAPP @t185 @t376))))) % 0.32/0.83 (assume @p386 (forall @t372 (or @t371 (= @t3 (tptp.c_List_Omap @t185 @t375 @t21 @t1))))) % 0.32/0.83 (assume @p387 (forall (@list @t168 @t32) (= (tptp.c_Lambda_Osubstn @t168 @t32 @t15) (tptp.hAPP @t388 @t15)))) % 0.32/0.83 (assume @p388 (forall (@list @t168 @t204 @t93) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t406) @t93) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t356 @t405 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.32/0.83 (assume @p389 (forall (@list @t183 @t93 @t242 @t204 @t402) (or (tptp.c_Type_Otypings @t357 @t405 @t402) (not (tptp.c_Type_Otypings @t183 @t204 @t402))))) % 0.32/0.83 (assume @p390 (forall (@list @t33 @t93 @t92) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t387 @t182) @t92))) @t389))) % 0.32/0.83 (assume @p391 (forall (@list @t168 @t204 @t95 @t93) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t406) @t95) @t93) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t240 @t404 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.32/0.83 (assume @p392 (forall (@list @t204) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap @t407 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t204 tptp.tc_Lambda_OdB))))) % 0.32/0.83 (assume @p393 (forall @t409 (or @t408 (= @t287 @t293)))) % 0.32/0.83 (assume @p394 (forall @t409 (or @t408 (= @t29 @t294)))) % 0.32/0.83 (assume @p395 (forall @t238 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t356)) @t237))) % 0.32/0.83 (assume @p396 (forall (@list @t10 @t87 @t21 @t187 @t1 @t410) (= (tptp.hAPP (tptp.c_COMBC @t10 @t87 @t21 @t187 @t1) @t410) (tptp.hAPP (tptp.hAPP @t10 @t410) @t87)))) % 0.32/0.83 (assume @p397 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t413 tptp.tc_Lambda_OdB)) % 0.32/0.83 (assume @p398 (forall (@list @t185 @t22 @t23 @t21 @t1) (= (tptp.c_List_Omap @t185 (tptp.c_List_Olist_OCons @t22 @t23 @t21) @t21 @t1) (tptp.c_List_Olist_OCons @t382 (tptp.c_List_Omap @t185 @t23 @t21 @t1) @t1)))) % 0.32/0.83 (assume @p399 (forall (@list @t185 @t23 @t286 @t21 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t185 @t23) (tptp.c_List_Omap @t185 @t286 @t21 @t1) @t1) (tptp.c_List_Omap @t185 @t303 @t21 @t1)))) % 0.32/0.83 (assume @p400 (forall (@list @t185 @t22 @t3 @t21 @t1) (= (tptp.c_List_Omap @t185 @t358 @t21 @t1) (tptp.c_List_Olist_OCons @t382 @t365 @t1)))) % 0.32/0.83 (assume @p401 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.32/0.83 (assume @p402 (forall (@list @t168 @t119 @t32) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t394) @t32) @t119) @t168))) % 0.32/0.83 (assume @p403 (forall (@list @t22 @t168 @t1) (not (= (tptp.c_List_Olist_OCons @t22 @t168 @t1) @t168)))) % 0.32/0.83 (assume @p404 (forall (@list @t3 @t22 @t1) (not (= @t3 @t71)))) % 0.32/0.83 (assume @p405 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t415 tptp.tc_Lambda_OdB)) % 0.32/0.83 (assume @p406 (not @t417)) % 0.32/0.83 (assume @p407 (forall @t422 (or (tptp.class_Lattices_Olower__semilattice @t421) @t419))) % 0.32/0.83 (assume @p408 (forall @t422 (or (tptp.class_Lattices_Olattice @t421) @t419))) % 0.32/0.83 (assume @p409 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.32/0.83 (assume @p410 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.32/0.83 (assume @p411 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.32/0.83 (assume @p412 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.32/0.83 (assume @p413 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.32/0.83 (assume @p414 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.32/0.83 (assume @p415 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.32/0.83 (assume @p416 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.32/0.83 (assume @p417 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.32/0.83 (assume @p418 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.32/0.83 (assume @p419 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.32/0.83 (assume @p420 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.32/0.83 (assume @p421 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.32/0.83 (assume @p422 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.32/0.83 (assume @p423 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.32/0.83 (assume @p424 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.32/0.83 (assume @p425 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.32/0.83 (assume @p426 (tptp.class_Power_Opower tptp.tc_nat)) % 0.32/0.83 (assume @p427 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.32/0.83 (assume @p428 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.32/0.83 (assume @p429 (forall (@list @t10 @t87 @t410 @t21 @t1 @t187) (= (tptp.c_COMBB @t10 @t87 @t410 @t21 @t1 @t187) (tptp.hAPP @t10 (tptp.hAPP @t87 @t410))))) % 0.32/0.83 (assume @p430 (forall @t198 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t22) @t22)))) % 0.32/0.83 (assume @p431 (forall (@list @t424 @t423 @t1) (or (= @t424 @t423) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t424) @t423)))))) % 0.32/0.83 (step @p432 :rule evaluate :args ((= false true))) % 0.32/0.83 (step @p433 :rule true_intro :premises (@p405)) % 0.32/0.83 (step @p434 :rule refl :args (tptp.tc_Lambda_OdB)) % 0.32/0.83 (step @p435 :rule instantiate :premises (@p135) :args ((@list @t414 @t413 tptp.tc_Lambda_OdB))) % 0.32/0.83 (step @p436 :rule symm :premises (@p435)) % 0.32/0.83 (step @p437 :rule refl :args (tptp.c_InductTermi_OIT)) % 0.32/0.83 (step @p438 :rule cong :premises (@p437 @p436 @p434) :args ((tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Oappend (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) @t415 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB))) % 0.32/0.83 (step @p439 :rule instantiate :premises (@p347) :args ((@list @t407 @t412 tptp.v_bs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.32/0.83 (step @p440 :rule symm :premises (@p439)) % 0.32/0.83 (step @p441 :rule refl :args (@t15)) % 0.32/0.83 (step @p442 :rule refl :args (tptp.v_i____)) % 0.32/0.83 (step @p443 :rule instantiate :premises (@p396) :args ((@list tptp.c_Lambda_Osubst tptp.v_u____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t403 tptp.v_b____))) % 0.32/0.83 (step @p444 :rule cong :premises (@p443 @p442) :args ((tptp.hAPP (tptp.hAPP @t411 tptp.v_b____) tptp.v_i____))) % 0.32/0.83 (step @p445 :rule instantiate :premises (@p396) :args ((@list @t411 tptp.v_i____ tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB tptp.v_b____))) % 0.32/0.83 (step @p446 :rule trans :premises (@p445 @p444)) % 0.32/0.83 (step @p447 :rule refl :args (tptp.c_Lambda_Olift)) % 0.32/0.83 (step @p448 :rule cong :premises (@p447 @p446) :args (@t426)) % 0.32/0.83 (step @p449 :rule cong :premises (@p448 @p441) :args ((tptp.hAPP @t426 @t15))) % 0.32/0.83 (step @p450 :rule instantiate :premises (@p396) :args ((@list tptp.c_Lambda_Olift @t15 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB @t425))) % 0.32/0.83 (step @p451 :rule instantiate :premises (@p83) :args ((@list @t407 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.v_b____))) % 0.32/0.83 (step @p452 :rule trans :premises (@p451 @p450 @p449)) % 0.32/0.83 (step @p453 :rule cong :premises (@p452 @p440 @p434) :args ((tptp.c_List_Olist_OCons (tptp.hAPP @t427 tptp.v_b____) (tptp.c_List_Omap @t427 tptp.v_bs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB))) % 0.32/0.83 (step @p454 :rule instantiate :premises (@p398) :args ((@list @t427 tptp.v_b____ tptp.v_bs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.32/0.83 (step @p455 :rule instantiate :premises (@p347) :args ((@list @t407 @t412 @t416 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.32/0.83 (step @p456 :rule trans :premises (@p455 @p454 @p453)) % 0.32/0.83 (step @p457 :rule trans :premises (@p456 @p435)) % 0.32/0.83 (step @p458 :rule cong :premises (@p437 @p457 @p434) :args (@t417)) % 0.32/0.83 (step @p459 :rule false_intro :premises (@p406)) % 0.32/0.83 (step @p460 :rule symm :premises (@p459)) % 0.32/0.83 (step @p461 :rule trans :premises (@p460 @p458 @p438 @p433)) % 0.32/0.83 (step @p462 false :rule eq_resolve :premises (@p461 @p432)) % 0.32/0.83 ) % 0.32/0.83 % SZS output end Proof % 0.32/0.83 % cvc5 exiting %------------------------------------------------------------------------------