%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL778-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 11:23:49 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.80s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL778-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n020.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 16:31:27 UTC 2026 % 0.02/0.36 % CPUTime : % 0.30/0.58 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.80 % SZS status Unsatisfiable % 0.34/0.80 % SZS output start Proof % 0.34/0.84 ( % 0.34/0.84 (declare-sort $$unsorted 0) % 0.34/0.84 (declare-const tptp.tc_bool $$unsorted) % 0.34/0.84 (declare-const tptp.v_r $$unsorted) % 0.34/0.84 (declare-const tptp.v_s $$unsorted) % 0.34/0.84 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.t_a $$unsorted) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.34/0.84 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__4 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__3 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.34/0.84 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__2 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.34/0.84 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.tc_String_Ochar $$unsorted) % 0.34/0.84 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.34/0.84 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.34/0.84 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.tc_nat $$unsorted) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__1 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.v_ss $$unsorted) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.v_i $$unsorted) % 0.34/0.84 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.34/0.84 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__6 (-> $$unsorted $$unsorted)) % 0.34/0.84 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__5 (-> $$unsorted $$unsorted)) % 0.34/0.84 (define @t1 () (@var "T_a" $$unsorted)) % 0.34/0.84 (define @t2 () (@var "V_m" $$unsorted)) % 0.34/0.84 (define @t3 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t1)) % 0.34/0.84 (define @t4 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.34/0.84 (define @t5 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.34/0.84 (define @t6 () (@list @t1 @t2)) % 0.34/0.84 (define @t7 () (@var "V_n" $$unsorted)) % 0.34/0.84 (define @t8 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t7 @t1)) % 0.34/0.84 (define @t9 () (@list @t1 @t7)) % 0.34/0.84 (define @t10 () (@var "V_b" $$unsorted)) % 0.34/0.84 (define @t11 () (@var "V_a" $$unsorted)) % 0.34/0.84 (define @t12 () (tptp.c_lessequals @t11 @t10 @t1)) % 0.34/0.84 (define @t13 () (not @t12)) % 0.34/0.84 (define @t14 () (tptp.c_lessequals @t4 @t11 @t1)) % 0.34/0.84 (define @t15 () (not @t14)) % 0.34/0.84 (define @t16 () (tptp.c_Power_Opower__class_Opower @t10 @t7 @t1)) % 0.34/0.84 (define @t17 () (tptp.c_Power_Opower__class_Opower @t11 @t7 @t1)) % 0.34/0.84 (define @t18 () (@list @t1 @t11 @t7 @t10)) % 0.34/0.84 (define @t19 () (@list @t1 @t11 @t7)) % 0.34/0.84 (define @t20 () (= @t2 @t7)) % 0.34/0.84 (define @t21 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.34/0.84 (define @t22 () (not (tptp.c_HOL_Oord__class_Oless @t21 @t11 @t1))) % 0.34/0.84 (define @t23 () (tptp.c_Power_Opower__class_Opower @t11 @t2 @t1)) % 0.34/0.84 (define @t24 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.34/0.84 (define @t25 () (tptp.c_Power_Opower__class_Opower @t11 @t24 @t1)) % 0.34/0.84 (define @t26 () (not (tptp.class_Power_Opower @t1))) % 0.34/0.84 (define @t27 () (@list @t1 @t11)) % 0.34/0.84 (define @t28 () (@var "V_x" $$unsorted)) % 0.34/0.84 (define @t29 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.34/0.84 (define @t30 () (@list @t1 @t28)) % 0.34/0.84 (define @t31 () (@var "V_T" $$unsorted)) % 0.34/0.84 (define @t32 () (@var "V_i" $$unsorted)) % 0.34/0.84 (define @t33 () (@var "V_u" $$unsorted)) % 0.34/0.84 (define @t34 () (@var "V_t" $$unsorted)) % 0.34/0.84 (define @t35 () (tptp.hAPP tptp.c_Lambda_Osubst @t34)) % 0.34/0.84 (define @t36 () (tptp.hAPP (tptp.hAPP @t35 @t33) @t32)) % 0.34/0.84 (define @t37 () (@var "V_e_H" $$unsorted)) % 0.34/0.84 (define @t38 () (@var "V_U" $$unsorted)) % 0.34/0.84 (define @t39 () (@var "V_e" $$unsorted)) % 0.34/0.84 (define @t40 () (not (tptp.c_Type_Otyping @t39 @t34 @t31))) % 0.34/0.84 (define @t41 () (tptp.hAPP tptp.c_Lambda_Olift @t34)) % 0.34/0.84 (define @t42 () (tptp.hAPP @t41 @t32)) % 0.34/0.84 (define @t43 () (tptp.c_Type_Oshift @t39 @t32 @t38 tptp.tc_Type_Otype)) % 0.34/0.84 (define @t44 () (@var "V_N" $$unsorted)) % 0.34/0.84 (define @t45 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t44 tptp.tc_nat))) % 0.34/0.84 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t4 @t11 @t1)) % 0.34/0.84 (define @t47 () (not @t46)) % 0.34/0.84 (define @t48 () (tptp.c_Power_Opower__class_Opower @t11 @t44 @t1)) % 0.34/0.84 (define @t49 () (not (tptp.c_lessequals @t4 @t10 @t1))) % 0.34/0.84 (define @t50 () (tptp.c_HOL_Oord__class_Oless @t24 @t7 tptp.tc_nat)) % 0.34/0.84 (define @t51 () (not @t50)) % 0.34/0.84 (define @t52 () (= @t11 @t10)) % 0.34/0.84 (define @t53 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.34/0.84 (define @t54 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.34/0.84 (define @t55 () (tptp.hAPP @t54 @t32)) % 0.34/0.84 (define @t56 () (tptp.hAPP @t55 @t53)) % 0.34/0.84 (define @t57 () (@var "V_j" $$unsorted)) % 0.34/0.84 (define @t58 () (@var "V_s" $$unsorted)) % 0.34/0.84 (define @t59 () (tptp.hAPP tptp.c_Lambda_Olift @t58)) % 0.34/0.84 (define @t60 () (tptp.hAPP @t59 @t32)) % 0.34/0.84 (define @t61 () (tptp.hAPP @t35 @t58)) % 0.34/0.84 (define @t62 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t61 @t57)) @t32)) % 0.34/0.84 (define @t63 () (@list @t34 @t58 @t57 @t32)) % 0.34/0.84 (define @t64 () (tptp.hAPP @t54 @t57)) % 0.34/0.84 (define @t65 () (tptp.hAPP @t64 @t53)) % 0.34/0.84 (define @t66 () (@var "V_k" $$unsorted)) % 0.34/0.84 (define @t67 () (tptp.c_HOL_Oord__class_Oless @t32 @t66 tptp.tc_nat)) % 0.34/0.84 (define @t68 () (tptp.c_Lambda_OdB_OVar @t32)) % 0.34/0.84 (define @t69 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t68) @t66)) % 0.34/0.84 (define @t70 () (@list @t32 @t66)) % 0.34/0.84 (define @t71 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.34/0.84 (define @t72 () (tptp.hAPP @t71 @t11)) % 0.34/0.84 (define @t73 () (@var "V_d" $$unsorted)) % 0.34/0.84 (define @t74 () (@var "V_c" $$unsorted)) % 0.34/0.84 (define @t75 () (not (tptp.c_HOL_Oord__class_Oless @t74 @t73 @t1))) % 0.34/0.84 (define @t76 () (tptp.hAPP @t71 @t10)) % 0.34/0.84 (define @t77 () (tptp.hAPP @t76 @t73)) % 0.34/0.84 (define @t78 () (tptp.hAPP @t72 @t74)) % 0.34/0.84 (define @t79 () (tptp.c_HOL_Oord__class_Oless @t78 @t77 @t1)) % 0.34/0.84 (define @t80 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.34/0.84 (define @t81 () (@list @t1 @t11 @t74 @t10 @t73)) % 0.34/0.84 (define @t82 () (tptp.c_HOL_Oord__class_Oless @t11 @t10 @t1)) % 0.34/0.84 (define @t83 () (not @t82)) % 0.34/0.84 (define @t84 () (not (tptp.c_lessequals @t74 @t73 @t1))) % 0.34/0.84 (define @t85 () (tptp.c_lessequals @t11 @t4 @t1)) % 0.34/0.84 (define @t86 () (not @t85)) % 0.34/0.84 (define @t87 () (not (tptp.c_lessequals @t10 @t4 @t1))) % 0.34/0.84 (define @t88 () (tptp.hAPP @t72 @t10)) % 0.34/0.84 (define @t89 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.34/0.84 (define @t90 () (@list @t1 @t11 @t10)) % 0.34/0.84 (define @t91 () (tptp.hAPP @t72 @t11)) % 0.34/0.84 (define @t92 () (tptp.c_lessequals @t91 @t4 @t1)) % 0.34/0.84 (define @t93 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.34/0.84 (define @t94 () (not (tptp.c_lessequals @t4 @t28 @t1))) % 0.34/0.84 (define @t95 () (@var "V_y" $$unsorted)) % 0.34/0.84 (define @t96 () (not (tptp.c_lessequals @t4 @t95 @t1))) % 0.34/0.84 (define @t97 () (tptp.hAPP @t71 @t28)) % 0.34/0.84 (define @t98 () (tptp.hAPP @t97 @t95)) % 0.34/0.84 (define @t99 () (not (= @t98 @t4))) % 0.34/0.84 (define @t100 () (@list @t1 @t28 @t95)) % 0.34/0.84 (define @t101 () (not (tptp.c_lessequals @t10 @t11 @t1))) % 0.34/0.84 (define @t102 () (tptp.c_lessequals @t10 @t78 @t1)) % 0.34/0.84 (define @t103 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.34/0.84 (define @t104 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.34/0.84 (define @t105 () (@list @t1 @t10 @t11 @t74)) % 0.34/0.84 (define @t106 () (not (tptp.c_lessequals @t10 @t74 @t1))) % 0.34/0.84 (define @t107 () (tptp.c_lessequals @t4 @t91 @t1)) % 0.34/0.84 (define @t108 () (tptp.hAPP @t71 @t4)) % 0.34/0.84 (define @t109 () (= (tptp.hAPP @t108 @t4) @t4)) % 0.34/0.84 (define @t110 () (not (tptp.c_lessequals @t4 @t4 @t1))) % 0.34/0.84 (define @t111 () (@list @t1)) % 0.34/0.84 (define @t112 () (tptp.c_lessequals @t28 @t95 @t1)) % 0.34/0.84 (define @t113 () (tptp.c_lessequals @t95 @t28 @t1)) % 0.34/0.84 (define @t114 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.34/0.84 (define @t115 () (@list @t1 @t95 @t28)) % 0.34/0.84 (define @t116 () (not @t112)) % 0.34/0.84 (define @t117 () (tptp.c_HOL_Oord__class_Oless @t28 @t95 @t1)) % 0.34/0.84 (define @t118 () (= @t28 @t95)) % 0.34/0.84 (define @t119 () (not (tptp.class_Orderings_Oorder @t1))) % 0.34/0.84 (define @t120 () (tptp.c_HOL_Oord__class_Oless @t10 @t11 @t1)) % 0.34/0.84 (define @t121 () (@list @t1 @t10 @t11)) % 0.34/0.84 (define @t122 () (tptp.hAPP @t76 @t74)) % 0.34/0.84 (define @t123 () (not @t117)) % 0.34/0.84 (define @t124 () (@var "V_z" $$unsorted)) % 0.34/0.84 (define @t125 () (tptp.c_lessequals @t95 @t124 @t1)) % 0.34/0.84 (define @t126 () (not @t125)) % 0.34/0.84 (define @t127 () (tptp.c_HOL_Oord__class_Oless @t28 @t124 @t1)) % 0.34/0.84 (define @t128 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.34/0.84 (define @t129 () (@list @t1 @t28 @t124 @t95)) % 0.34/0.84 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t95 @t124 @t1)) % 0.34/0.84 (define @t131 () (not @t130)) % 0.34/0.84 (define @t132 () (tptp.c_lessequals @t28 @t28 @t1)) % 0.34/0.84 (define @t133 () (tptp.c_lessequals @t28 @t124 @t1)) % 0.34/0.84 (define @t134 () (not @t113)) % 0.34/0.84 (define @t135 () (tptp.c_HOL_Oord__class_Oless @t124 @t95 @t1)) % 0.34/0.84 (define @t136 () (not @t135)) % 0.34/0.84 (define @t137 () (tptp.c_HOL_Oord__class_Oless @t124 @t28 @t1)) % 0.34/0.84 (define @t138 () (@list @t1 @t124 @t28 @t95)) % 0.34/0.84 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t95 @t28 @t1)) % 0.34/0.84 (define @t140 () (not @t139)) % 0.34/0.84 (define @t141 () (tptp.c_lessequals @t124 @t95 @t1)) % 0.34/0.84 (define @t142 () (not @t141)) % 0.34/0.84 (define @t143 () (tptp.c_lessequals @t124 @t28 @t1)) % 0.34/0.84 (define @t144 () (not (tptp.c_HOL_Oord__class_Oless @t57 @t32 tptp.tc_nat))) % 0.34/0.84 (define @t145 () (tptp.hAPP @t71 @t74)) % 0.34/0.84 (define @t146 () (tptp.hAPP @t145 @t10)) % 0.34/0.84 (define @t147 () (tptp.hAPP @t145 @t11)) % 0.34/0.84 (define @t148 () (tptp.c_lessequals @t147 @t146 @t1)) % 0.34/0.84 (define @t149 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.34/0.84 (define @t150 () (@list @t1 @t74 @t11 @t10)) % 0.34/0.84 (define @t151 () (tptp.c_lessequals @t78 @t122 @t1)) % 0.34/0.84 (define @t152 () (@list @t1 @t11 @t74 @t10)) % 0.34/0.84 (define @t153 () (@list @t1 @t11 @t10 @t74)) % 0.34/0.84 (define @t154 () (@var "V_r1" $$unsorted)) % 0.34/0.84 (define @t155 () (@var "V_r0" $$unsorted)) % 0.34/0.84 (define @t156 () (@var "V_pwr" $$unsorted)) % 0.34/0.84 (define @t157 () (@var "V_mul" $$unsorted)) % 0.34/0.84 (define @t158 () (@var "V_add" $$unsorted)) % 0.34/0.84 (define @t159 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t158 @t157 @t156 @t155 @t154 @t1))) % 0.34/0.84 (define @t160 () (tptp.hAPP @t156 @t28)) % 0.34/0.84 (define @t161 () (tptp.c_Orderings_Oord__class_Omax @t11 @t10 @t1)) % 0.34/0.84 (define @t162 () (tptp.c_lessequals @t161 @t28 @t1)) % 0.34/0.84 (define @t163 () (not @t162)) % 0.34/0.84 (define @t164 () (tptp.c_lessequals @t11 @t28 @t1)) % 0.34/0.84 (define @t165 () (tptp.c_lessequals @t10 @t28 @t1)) % 0.34/0.84 (define @t166 () (tptp.c_lessequals @t28 @t161 @t1)) % 0.34/0.84 (define @t167 () (@list @t1 @t28 @t11 @t10)) % 0.34/0.84 (define @t168 () (not @t143)) % 0.34/0.84 (define @t169 () (tptp.c_Orderings_Oord__class_Omax @t28 @t95 @t1)) % 0.34/0.84 (define @t170 () (tptp.c_lessequals @t124 @t169 @t1)) % 0.34/0.84 (define @t171 () (tptp.c_lessequals @t169 @t124 @t1)) % 0.34/0.84 (define @t172 () (not @t171)) % 0.34/0.84 (define @t173 () (@list @t1 @t95 @t124 @t28)) % 0.34/0.84 (define @t174 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.34/0.84 (define @t175 () (@list @t1 @t124 @t95 @t28)) % 0.34/0.84 (define @t176 () (tptp.c_Orderings_Oord__class_Omax @t95 @t124 @t1)) % 0.34/0.84 (define @t177 () (@list @t1 @t28 @t95 @t124)) % 0.34/0.84 (define @t178 () (= @t169 @t95)) % 0.34/0.84 (define @t179 () (tptp.c_HOL_Oord__class_Oless @t28 @t28 @t1)) % 0.34/0.84 (define @t180 () (not @t179)) % 0.34/0.84 (define @t181 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.34/0.84 (define @t182 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.34/0.84 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t11 @t4 @t1)) % 0.34/0.84 (define @t184 () (not @t183)) % 0.34/0.84 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t88 @t4 @t1)) % 0.34/0.84 (define @t186 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t4 @t1))) % 0.34/0.84 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t10 @t78 @t1)) % 0.34/0.84 (define @t188 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t74 @t1))) % 0.34/0.84 (define @t189 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t10 @t1))) % 0.34/0.84 (define @t190 () (tptp.c_HOL_Oord__class_Oless @t4 @t88 @t1)) % 0.34/0.84 (define @t191 () (tptp.c_HOL_Oord__class_Oless @t17 @t16 @t1)) % 0.34/0.84 (define @t192 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.34/0.84 (define @t193 () (tptp.c_HOL_Oord__class_Oless @t2 @t7 tptp.tc_nat)) % 0.34/0.84 (define @t194 () (not (tptp.c_HOL_Oord__class_Oless @t21 @t10 @t1))) % 0.34/0.84 (define @t195 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t10 @t28 @t1) (tptp.c_Power_Opower__class_Opower @t10 @t95 @t1) @t1)) % 0.34/0.84 (define @t196 () (tptp.c_HOL_Oord__class_Oless @t28 @t95 tptp.tc_nat)) % 0.34/0.84 (define @t197 () (not @t196)) % 0.34/0.84 (define @t198 () (tptp.hAPP @t54 @t66)) % 0.34/0.84 (define @t199 () (tptp.hAPP @t198 @t53)) % 0.34/0.84 (define @t200 () (tptp.c_Lambda_OdB_OAbs @t58)) % 0.34/0.84 (define @t201 () (tptp.c_Lambda_OdB_OAbs @t34)) % 0.34/0.84 (define @t202 () (@list @t34 @t58 @t66)) % 0.34/0.84 (define @t203 () (@var "V_Ts" $$unsorted)) % 0.34/0.84 (define @t204 () (@var "V_ts" $$unsorted)) % 0.34/0.84 (define @t205 () (not (tptp.c_Type_Otypings @t39 @t204 @t203))) % 0.34/0.84 (define @t206 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t32 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t207 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t33 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t32 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t208 () (@var "V_P" $$unsorted)) % 0.34/0.84 (define @t209 () (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 @t208)) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 @t208) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.34/0.84 (define @t210 () (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 @t208)) % 0.34/0.84 (define @t211 () (tptp.hBOOL (tptp.hAPP @t208 @t34))) % 0.34/0.84 (define @t212 () (@list @t208 @t34)) % 0.34/0.84 (define @t213 () (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 @t208)) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 @t208) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.34/0.84 (define @t214 () (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 @t208)) % 0.34/0.84 (define @t215 () (tptp.hAPP @t54 @t7)) % 0.34/0.84 (define @t216 () (tptp.hAPP @t215 @t66)) % 0.34/0.84 (define @t217 () (tptp.hAPP @t54 @t2)) % 0.34/0.84 (define @t218 () (= @t95 @t124)) % 0.34/0.84 (define @t219 () (tptp.hAPP @t54 @t28)) % 0.34/0.84 (define @t220 () (tptp.hAPP @t219 @t124)) % 0.34/0.84 (define @t221 () (@list @t28 @t95 @t124)) % 0.34/0.84 (define @t222 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t11)))) % 0.34/0.84 (define @t223 () (tptp.v_sko__InductTermi__XIT__Xcases__1 @t11)) % 0.34/0.84 (define @t224 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t223 tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t225 () (tptp.v_sko__InductTermi__XIT__Xcases__3 @t11)) % 0.34/0.84 (define @t226 () (= @t11 (tptp.c_Lambda_OdB_OAbs @t225))) % 0.34/0.84 (define @t227 () (tptp.v_sko__InductTermi__XIT__Xcases__6 @t11)) % 0.34/0.84 (define @t228 () (tptp.v_sko__InductTermi__XIT__Xcases__5 @t11)) % 0.34/0.84 (define @t229 () (tptp.v_sko__InductTermi__XIT__Xcases__4 @t11)) % 0.34/0.84 (define @t230 () (= @t11 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t229)) @t228) @t227 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.34/0.84 (define @t231 () (@list @t11)) % 0.34/0.84 (define @t232 () (@var "T_b" $$unsorted)) % 0.34/0.84 (define @t233 () (@var "V_xs" $$unsorted)) % 0.34/0.84 (define @t234 () (@var "V_f" $$unsorted)) % 0.34/0.84 (define @t235 () (tptp.c_List_Omap @t234 @t233 @t232 @t1)) % 0.34/0.84 (define @t236 () (tptp.hAPP @t234 @t28)) % 0.34/0.84 (define @t237 () (tptp.c_List_Olist_OCons @t28 @t233 @t232)) % 0.34/0.84 (define @t238 () (@var "V_xb" $$unsorted)) % 0.34/0.84 (define @t239 () (@var "V_xa" $$unsorted)) % 0.34/0.84 (define @t240 () (@var "V_s_H" $$unsorted)) % 0.34/0.84 (define @t241 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t242 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t58) @t240)))) % 0.34/0.84 (define @t243 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t240)) % 0.34/0.84 (define @t244 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t58)) % 0.34/0.84 (define @t245 () (tptp.hAPP @t244 @t34)) % 0.34/0.84 (define @t246 () (tptp.hAPP @t241 @t245)) % 0.34/0.84 (define @t247 () (@var "V_t_H" $$unsorted)) % 0.34/0.84 (define @t248 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t34) @t247)))) % 0.34/0.84 (define @t249 () (@var "V_ys" $$unsorted)) % 0.34/0.84 (define @t250 () (tptp.c_List_Oappend @t233 @t249 @t1)) % 0.34/0.84 (define @t251 () (tptp.c_List_Olist_OCons @t28 @t233 @t1)) % 0.34/0.84 (define @t252 () (@var "V_zs" $$unsorted)) % 0.34/0.84 (define @t253 () (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t239 @t252 @t1) @t1)) % 0.34/0.84 (define @t254 () (tptp.c_List_Olist_OCons @t28 @t239 @t1)) % 0.34/0.84 (define @t255 () (tptp.c_List_Oappend @t254 @t252 @t1)) % 0.34/0.84 (define @t256 () (tptp.c_List_Olist_ONil @t1)) % 0.34/0.84 (define @t257 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.34/0.84 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t169 @t124 @t1)) % 0.34/0.84 (define @t259 () (not @t258)) % 0.34/0.84 (define @t260 () (tptp.c_HOL_Oord__class_Oless @t124 @t169 @t1)) % 0.34/0.84 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t28 @t161 @t1)) % 0.34/0.84 (define @t262 () (tptp.c_List_Olist_OCons @t28 @t256 @t1)) % 0.34/0.84 (define @t263 () (tptp.c_List_Oappend @t233 @t262 @t1)) % 0.34/0.84 (define @t264 () (tptp.c_List_Oappend @t249 (tptp.c_List_Olist_OCons @t95 @t256 @t1) @t1)) % 0.34/0.84 (define @t265 () (@var "V_r" $$unsorted)) % 0.34/0.84 (define @t266 () (not (tptp.c_ListOrder_Ostep1 @t265 @t264 @t263 @t1))) % 0.34/0.84 (define @t267 () (tptp.c_ListOrder_Ostep1 @t265 @t249 @t233 @t1)) % 0.34/0.84 (define @t268 () (tptp.hAPP @t265 @t95)) % 0.34/0.84 (define @t269 () (tptp.hBOOL (tptp.hAPP @t268 @t28))) % 0.34/0.84 (define @t270 () (tptp.c_Transitive__Closure_Ortranclp @t265 @t1)) % 0.34/0.84 (define @t271 () (tptp.hAPP @t270 @t95)) % 0.34/0.84 (define @t272 () (tptp.hBOOL (tptp.hAPP @t271 @t28))) % 0.34/0.84 (define @t273 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t265 @t1 @t1) @t1) @t28) @t95))) % 0.34/0.84 (define @t274 () (@list @t265 @t1 @t28 @t95)) % 0.34/0.84 (define @t275 () (tptp.c_List_Olist_ONil @t232)) % 0.34/0.84 (define @t276 () (tptp.c_List_Omap @t234 @t275 @t232 @t1)) % 0.34/0.84 (define @t277 () (@var "V_Q" $$unsorted)) % 0.34/0.84 (define @t278 () (@var "V_R" $$unsorted)) % 0.34/0.84 (define @t279 () (@var "T_c" $$unsorted)) % 0.34/0.84 (define @t280 () (tptp.hAPP @t97 @t124)) % 0.34/0.84 (define @t281 () (tptp.hAPP @t71 @t95)) % 0.34/0.84 (define @t282 () (tptp.hAPP @t281 @t124)) % 0.34/0.84 (define @t283 () (tptp.hAPP @t97 @t282)) % 0.34/0.84 (define @t284 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.34/0.84 (define @t285 () (tptp.c_Predicate_Oconversep @t265 @t1 @t232)) % 0.34/0.84 (define @t286 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t285 @t11) @t10))) % 0.34/0.84 (define @t287 () (tptp.hAPP @t265 @t10)) % 0.34/0.84 (define @t288 () (tptp.hBOOL (tptp.hAPP @t287 @t11))) % 0.34/0.84 (define @t289 () (@var "V_a2" $$unsorted)) % 0.34/0.84 (define @t290 () (@var "V_a1" $$unsorted)) % 0.34/0.84 (define @t291 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t265 @t11) @t10)))) % 0.34/0.84 (define @t292 () (tptp.hAPP @t217 @t7)) % 0.34/0.84 (define @t293 () (tptp.c_HOL_Oord__class_Oless @t24 @t292 tptp.tc_nat)) % 0.34/0.84 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t24 @t2 tptp.tc_nat)) % 0.34/0.84 (define @t295 () (@list @t7 @t2)) % 0.34/0.84 (define @t296 () (tptp.hAPP @t72 @t122)) % 0.34/0.84 (define @t297 () (tptp.hAPP @t71 @t88)) % 0.34/0.84 (define @t298 () (tptp.hAPP @t297 @t74)) % 0.34/0.84 (define @t299 () (= @t298 @t296)) % 0.34/0.84 (define @t300 () (tptp.hAPP @t145 @t73)) % 0.34/0.84 (define @t301 () (tptp.hAPP @t72 @t300)) % 0.34/0.84 (define @t302 () (@list @t1 @t11 @t74 @t73)) % 0.34/0.84 (define @t303 () (tptp.hAPP @t71 @t78)) % 0.34/0.84 (define @t304 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.34/0.84 (define @t305 () (@list @t2 @t7 @t66)) % 0.34/0.84 (define @t306 () (tptp.hAPP @t54 @t95)) % 0.34/0.84 (define @t307 () (tptp.hAPP @t306 @t124)) % 0.34/0.84 (define @t308 () (tptp.c_List_Oappend @t233 @t28 @t1)) % 0.34/0.84 (define @t309 () (not @t267)) % 0.34/0.84 (define @t310 () (@var "V_us" $$unsorted)) % 0.34/0.84 (define @t311 () (@var "V_vs" $$unsorted)) % 0.34/0.84 (define @t312 () (@var "V_A" $$unsorted)) % 0.34/0.84 (define @t313 () (tptp.c_List_Olistsp @t312 @t250 @t1)) % 0.34/0.84 (define @t314 () (not @t313)) % 0.34/0.84 (define @t315 () (tptp.c_List_Olistsp @t312 @t233 @t1)) % 0.34/0.84 (define @t316 () (tptp.c_List_Olistsp @t312 @t249 @t1)) % 0.34/0.84 (define @t317 () (@var "V_dB" $$unsorted)) % 0.34/0.84 (define @t318 () (@var "V_f3" $$unsorted)) % 0.34/0.84 (define @t319 () (tptp.hAPP @t318 @t317)) % 0.34/0.84 (define @t320 () (tptp.c_Lambda_OdB_OAbs @t317)) % 0.34/0.84 (define @t321 () (@var "V_f2" $$unsorted)) % 0.34/0.84 (define @t322 () (@var "V_f1" $$unsorted)) % 0.34/0.84 (define @t323 () (@list @t322 @t321 @t318 @t317 @t1)) % 0.34/0.84 (define @t324 () (not (tptp.c_ListOrder_Ostep1 @t265 (tptp.c_List_Olist_OCons @t95 @t249 @t1) @t251 @t1))) % 0.34/0.84 (define @t325 () (= @t233 @t249)) % 0.34/0.84 (define @t326 () (tptp.c_List_Oreplicate @t2 @t28 @t1)) % 0.34/0.84 (define @t327 () (not (= @t326 (tptp.c_List_Oreplicate @t7 @t95 @t1)))) % 0.34/0.84 (define @t328 () (@list @t2 @t28 @t1 @t7 @t95)) % 0.34/0.84 (define @t329 () (= @t249 @t252)) % 0.34/0.84 (define @t330 () (@list @t233 @t249 @t1 @t252)) % 0.34/0.84 (define @t331 () (tptp.hAPP @t270 @t11)) % 0.34/0.84 (define @t332 () (tptp.hAPP @t270 @t28)) % 0.34/0.84 (define @t333 () (tptp.c_Wellfounded_Oaccp @t265 @t11 @t1)) % 0.34/0.84 (define @t334 () (not @t333)) % 0.34/0.84 (define @t335 () (tptp.hAPP @t270 @t10)) % 0.34/0.84 (define @t336 () (not (tptp.hBOOL (tptp.hAPP @t335 @t11)))) % 0.34/0.84 (define @t337 () (tptp.c_Wellfounded_Oaccp @t265 @t10 @t1)) % 0.34/0.84 (define @t338 () (@list @t265 @t10 @t1 @t11)) % 0.34/0.84 (define @t339 () (tptp.hBOOL (tptp.hAPP @t332 @t95))) % 0.34/0.84 (define @t340 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t34)))) % 0.34/0.84 (define @t341 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t342 () (@list @t34)) % 0.34/0.84 (define @t343 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t265))) % 0.34/0.84 (define @t344 () (@list @t265)) % 0.34/0.84 (define @t345 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t228))) % 0.34/0.84 (define @t346 () (tptp.c_List_Oappend @t233 @t256 @t1)) % 0.34/0.84 (define @t347 () (@list @t233 @t1)) % 0.34/0.84 (define @t348 () (@list @t28 @t1)) % 0.34/0.84 (define @t349 () (tptp.c_List_Oappend @t256 @t249 @t1)) % 0.34/0.84 (define @t350 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t265) @t58)))) % 0.34/0.84 (define @t351 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 (tptp.hAPP (tptp.hAPP @t35 @t265) @t32)) (tptp.hAPP @t61 @t32)))) % 0.34/0.84 (define @t352 () (@list @t34 @t265 @t32 @t58)) % 0.34/0.84 (define @t353 () (tptp.c_HOL_Oord__class_Oless @t28 @t307 tptp.tc_nat)) % 0.34/0.84 (define @t354 () (tptp.hAPP @t55 @t57)) % 0.34/0.84 (define @t355 () (@list @t32 @t66 @t57)) % 0.34/0.84 (define @t356 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t57 tptp.tc_nat))) % 0.34/0.84 (define @t357 () (tptp.hAPP @t76 @t11)) % 0.34/0.84 (define @t358 () (tptp.hAPP @t215 @t2)) % 0.34/0.84 (define @t359 () (@list @t2 @t7)) % 0.34/0.84 (define @t360 () (@var "V_l" $$unsorted)) % 0.34/0.84 (define @t361 () (not (tptp.c_HOL_Oord__class_Oless @t66 @t360 tptp.tc_nat))) % 0.34/0.84 (define @t362 () (tptp.hAPP @t198 @t7)) % 0.34/0.84 (define @t363 () (tptp.c_List_Oappend @t233 @t249 @t232)) % 0.34/0.84 (define @t364 () (= @t95 @t28)) % 0.34/0.84 (define @t365 () (@list @t1 @t2 @t7)) % 0.34/0.84 (define @t366 () (= @t233 @t275)) % 0.34/0.84 (define @t367 () (@var "V_q" $$unsorted)) % 0.34/0.84 (define @t368 () (@var "V_p" $$unsorted)) % 0.34/0.84 (define @t369 () (tptp.hAPP @t160 @t367)) % 0.34/0.84 (define @t370 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t265) @t58)))) % 0.34/0.84 (define @t371 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t58) @t34)) % 0.34/0.84 (define @t372 () (tptp.hAPP @t371 @t32)) % 0.34/0.84 (define @t373 () (tptp.hAPP tptp.c_Lambda_Osubst @t265)) % 0.34/0.84 (define @t374 () (tptp.hAPP (tptp.hAPP @t373 @t34) @t32)) % 0.34/0.84 (define @t375 () (@list @t265 @t34 @t32 @t58)) % 0.34/0.84 (define @t376 () (tptp.c_List_Ofoldl @t71 @t11 @t233 @t1 @t1)) % 0.34/0.84 (define @t377 () (tptp.c_HOL_Oord__class_Oless @t91 @t4 @t1)) % 0.34/0.84 (define @t378 () (not @t377)) % 0.34/0.84 (define @t379 () (tptp.hAPP @t198 @t2)) % 0.34/0.84 (define @t380 () (@list @t66 @t2 @t7)) % 0.34/0.84 (define @t381 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.34/0.84 (define @t382 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.34/0.84 (define @t383 () (= @t10 @t74)) % 0.34/0.84 (define @t384 () (not (= @t88 @t78))) % 0.34/0.84 (define @t385 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.34/0.84 (define @t386 () (@var "V_xs1" $$unsorted)) % 0.34/0.84 (define @t387 () (@var "V_list_H" $$unsorted)) % 0.34/0.84 (define @t388 () (@var "V_a_H" $$unsorted)) % 0.34/0.84 (define @t389 () (tptp.c_List_Olist_OCons @t388 @t387 @t1)) % 0.34/0.84 (define @t390 () (tptp.hAPP @t157 @t28)) % 0.34/0.84 (define @t391 () (tptp.hAPP @t390 @t95)) % 0.34/0.84 (define @t392 () (tptp.hAPP @t158 @t95)) % 0.34/0.84 (define @t393 () (tptp.hAPP @t392 @t124)) % 0.34/0.84 (define @t394 () (tptp.hAPP @t157 @t95)) % 0.34/0.84 (define @t395 () (tptp.hAPP @t157 @t154)) % 0.34/0.84 (define @t396 () (tptp.hAPP @t157 @t155)) % 0.34/0.84 (define @t397 () (tptp.hAPP @t158 @t28)) % 0.34/0.84 (define @t398 () (tptp.hAPP @t397 @t95)) % 0.34/0.84 (define @t399 () (tptp.hAPP @t158 @t155)) % 0.34/0.84 (define @t400 () (tptp.hAPP @t158 @t11)) % 0.34/0.84 (define @t401 () (tptp.hAPP @t400 @t74)) % 0.34/0.84 (define @t402 () (tptp.hAPP @t158 @t401)) % 0.34/0.84 (define @t403 () (tptp.hAPP @t158 @t74)) % 0.34/0.84 (define @t404 () (tptp.hAPP @t403 @t73)) % 0.34/0.84 (define @t405 () (tptp.hAPP @t400 @t404)) % 0.34/0.84 (define @t406 () (@list @t158 @t11 @t74 @t73 @t157 @t156 @t155 @t154 @t1)) % 0.34/0.84 (define @t407 () (tptp.hAPP @t400 @t10)) % 0.34/0.84 (define @t408 () (tptp.hAPP @t158 @t407)) % 0.34/0.84 (define @t409 () (tptp.hAPP @t408 @t74)) % 0.34/0.84 (define @t410 () (@list @t158 @t11 @t10 @t74 @t157 @t156 @t155 @t154 @t1)) % 0.34/0.84 (define @t411 () (tptp.hAPP @t158 @t10)) % 0.34/0.84 (define @t412 () (@var "V_ry" $$unsorted)) % 0.34/0.84 (define @t413 () (@var "V_lx" $$unsorted)) % 0.34/0.84 (define @t414 () (tptp.hAPP @t157 @t413)) % 0.34/0.84 (define @t415 () (@var "V_rx" $$unsorted)) % 0.34/0.84 (define @t416 () (tptp.hAPP @t157 @t415)) % 0.34/0.84 (define @t417 () (tptp.hAPP @t416 @t412)) % 0.34/0.84 (define @t418 () (tptp.hAPP @t414 @t417)) % 0.34/0.84 (define @t419 () (@list @t157 @t413 @t415 @t412 @t158 @t156 @t155 @t154 @t1)) % 0.34/0.84 (define @t420 () (tptp.hAPP @t157 (tptp.hAPP @t414 @t415))) % 0.34/0.84 (define @t421 () (@var "V_ly" $$unsorted)) % 0.34/0.84 (define @t422 () (tptp.hAPP @t157 @t421)) % 0.34/0.84 (define @t423 () (tptp.hAPP @t157 (tptp.hAPP @t414 @t421))) % 0.34/0.84 (define @t424 () (tptp.hAPP @t423 @t415)) % 0.34/0.84 (define @t425 () (@list @t157 @t413 @t421 @t415 @t158 @t156 @t155 @t154 @t1)) % 0.34/0.84 (define @t426 () (tptp.hAPP @t423 @t417)) % 0.34/0.84 (define @t427 () (@list @t157 @t413 @t421 @t415 @t412 @t158 @t156 @t155 @t154 @t1)) % 0.34/0.84 (define @t428 () (tptp.hAPP @t157 @t11)) % 0.34/0.84 (define @t429 () (tptp.hAPP @t157 @t10)) % 0.34/0.84 (define @t430 () (tptp.hAPP @t157 @t407)) % 0.34/0.84 (define @t431 () (tptp.hAPP @t158 @t2)) % 0.34/0.84 (define @t432 () (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t400 @t154)) @t2)) % 0.34/0.84 (define @t433 () (tptp.hAPP @t428 @t2)) % 0.34/0.84 (define @t434 () (tptp.hAPP @t158 @t433)) % 0.34/0.84 (define @t435 () (not @t67)) % 0.34/0.84 (define @t436 () (tptp.c_Lambda_Oliftn @t7 @t68 @t66)) % 0.34/0.84 (define @t437 () (@list @t7 @t32 @t66)) % 0.34/0.84 (define @t438 () (tptp.c_Type_Otyping @t39 @t247 @t31)) % 0.34/0.84 (define @t439 () (@list @t39 @t247 @t31 @t34)) % 0.34/0.84 (define @t440 () (tptp.c_List_Oreplicate @t24 @t28 @t1)) % 0.34/0.84 (define @t441 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t265) @t32)) % 0.34/0.84 (define @t442 () (@list @t265 @t32 @t58)) % 0.34/0.84 (define @t443 () (= @t11 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.v_sko__InductTermi__XIT__Xcases__2 @t11)) @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.34/0.84 (define @t444 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t225))) % 0.34/0.84 (define @t445 () (tptp.c_Lambda_OdB_OVar @t28)) % 0.34/0.84 (define @t446 () (tptp.c_HOL_Oord__class_Oless @t28 @t28 tptp.tc_nat)) % 0.34/0.84 (define @t447 () (@list @t28 @t58)) % 0.34/0.84 (define @t448 () (tptp.c_List_Oappend @t256 @t251 @t1)) % 0.34/0.84 (define @t449 () (= @t249 @t233)) % 0.34/0.84 (define @t450 () (tptp.c_Orderings_Oord__class_Omax @t28 @t176 @t1)) % 0.34/0.84 (define @t451 () (tptp.c_List_Oappend @t256 @t256 @t1)) % 0.34/0.84 (define @t452 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t58) @t34)))) % 0.34/0.84 (define @t453 () (@list @t58 @t34)) % 0.34/0.84 (define @t454 () (tptp.c_List_Oreplicate @t32 @t28 @t1)) % 0.34/0.84 (define @t455 () (@var "V_plus" $$unsorted)) % 0.34/0.84 (define @t456 () (@var "V_zero" $$unsorted)) % 0.34/0.84 (define @t457 () (not (tptp.c_OrderedGroup_Omonoid__add @t456 @t455 @t1))) % 0.34/0.84 (define @t458 () (tptp.hAPP @t455 @t11)) % 0.34/0.84 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t4 @t91 @t1)) % 0.34/0.84 (define @t460 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t229) @t228) @t24) @t227 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (define @t461 () (= @t11 @t4)) % 0.34/0.84 (define @t462 () (not (= @t17 @t4))) % 0.34/0.84 (define @t463 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.34/0.84 (define @t464 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.34/0.84 (define @t465 () (= (tptp.hAPP @t108 @t11) @t11)) % 0.34/0.84 (define @t466 () (= (tptp.hAPP @t72 @t4) @t11)) % 0.34/0.84 (define @t467 () (= @t7 @t24)) % 0.34/0.84 (define @t468 () (@list @t7)) % 0.34/0.84 (define @t469 () (not (= @t292 @t24))) % 0.34/0.84 (define @t470 () (= @t2 @t24)) % 0.34/0.84 (define @t471 () (tptp.hAPP @t54 @t24)) % 0.34/0.84 (define @t472 () (@list @t2)) % 0.34/0.84 (define @t473 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.34/0.84 (define @t474 () (tptp.c_HOL_Oord__class_Oless @t66 @t32 tptp.tc_nat)) % 0.34/0.84 (define @t475 () (= @t32 @t66)) % 0.34/0.84 (define @t476 () (@list @t32 @t58 @t66)) % 0.34/0.84 (define @t477 () (= @t233 @t256)) % 0.34/0.84 (define @t478 () (not (= @t256 @t250))) % 0.34/0.84 (define @t479 () (@list @t1 @t233 @t249)) % 0.34/0.84 (define @t480 () (= @t249 @t256)) % 0.34/0.84 (define @t481 () (@var "V_dB_H" $$unsorted)) % 0.34/0.84 (define @t482 () (tptp.c_Lambda_OdB_OAbs @t481)) % 0.34/0.84 (define @t483 () (not (= @t250 @t256))) % 0.34/0.84 (define @t484 () (@list @t233 @t249 @t1)) % 0.34/0.84 (define @t485 () (tptp.c_fequal @t1)) % 0.34/0.84 (define @t486 () (@list @t28)) % 0.34/0.84 (define @t487 () (@list @t265 @t249 @t233 @t1 @t95 @t28)) % 0.34/0.84 (define @t488 () (not (tptp.c_OrderedGroup_Osemigroup__add @t455 @t1))) % 0.34/0.84 (define @t489 () (tptp.c_List_Olistsum @t233 @t1)) % 0.34/0.84 (define @t490 () (@list @t1 @t28 @t233)) % 0.34/0.84 (define @t491 () (tptp.c_HOL_Oord__class_Oless @t7 @t2 tptp.tc_nat)) % 0.34/0.84 (define @t492 () (tptp.c_List_Oreplicate @t7 @t28 @t1)) % 0.34/0.84 (define @t493 () (tptp.c_List_Oreplicate @t66 @t28 @t1)) % 0.34/0.84 (define @t494 () (tptp.hAPP @t55 @t66)) % 0.34/0.84 (define @t495 () (not @t193)) % 0.34/0.84 (define @t496 () (tptp.c_HOL_Oord__class_Oless @t3 @t8 @t1)) % 0.34/0.84 (define @t497 () (tptp.c_List_Ofoldr @t71 @t233 @t4 @t1 @t1)) % 0.34/0.84 (define @t498 () (@list @t1 @t233)) % 0.34/0.84 (define @t499 () (tptp.c_HOL_Oord__class_Oless @t4 @t8 @t1)) % 0.34/0.84 (define @t500 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t34 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t501 () (not (tptp.class_OrderedGroup_Osemigroup__add @t1))) % 0.34/0.84 (define @t502 () (tptp.c_HOL_Oord__class_Oless @t78 @t122 @t1)) % 0.34/0.84 (define @t503 () (tptp.c_HOL_Oord__class_Oless @t147 @t146 @t1)) % 0.34/0.84 (define @t504 () (tptp.c_HOL_Oord__class_Oless @t379 @t362 tptp.tc_nat)) % 0.34/0.84 (define @t505 () (@var "V_list" $$unsorted)) % 0.34/0.84 (define @t506 () (not (= (tptp.c_List_Olist_OCons @t11 @t505 @t1) @t389))) % 0.34/0.84 (define @t507 () (@list @t11 @t505 @t1 @t388 @t387)) % 0.34/0.84 (define @t508 () (not (= @t263 @t264))) % 0.34/0.84 (define @t509 () (@list @t233 @t28 @t1 @t249 @t95)) % 0.34/0.84 (define @t510 () (not @t120)) % 0.34/0.84 (define @t511 () (tptp.hBOOL (tptp.hAPP @t331 @t74))) % 0.34/0.84 (define @t512 () (@list @t265 @t1 @t11 @t74 @t10)) % 0.34/0.84 (define @t513 () (tptp.c_List_Ofoldl @t71 @t4 @t233 @t1 @t1)) % 0.34/0.84 (define @t514 () (@var "V_dB2" $$unsorted)) % 0.34/0.84 (define @t515 () (@var "V_dB1" $$unsorted)) % 0.34/0.84 (define @t516 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t515) @t514)) % 0.34/0.84 (define @t517 () (@var "V_xc" $$unsorted)) % 0.34/0.84 (define @t518 () (tptp.hAPP (tptp.hAPP @t321 @t515) @t514)) % 0.34/0.84 (define @t519 () (tptp.hAPP @t41 @t66)) % 0.34/0.84 (define @t520 () (@list @t322 @t321 @t318 @t515 @t514 @t1)) % 0.34/0.84 (define @t521 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t33)) % 0.34/0.84 (define @t522 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t34) @t33)) % 0.34/0.84 (define @t523 () (@list @t34 @t33 @t58 @t66)) % 0.34/0.84 (define @t524 () (@var "V_ss" $$unsorted)) % 0.34/0.84 (define @t525 () (tptp.c_Lambda_OdB_OAbs @t265)) % 0.34/0.84 (define @t526 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t525) @t58) @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t527 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t373 @t58) @t24) @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t528 () (@list @t265 @t58 @t524)) % 0.34/0.84 (define @t529 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t58 @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t530 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t265 @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t531 () (@list @t265 @t524 @t58)) % 0.34/0.84 (define @t532 () (@var "V_rs" $$unsorted)) % 0.34/0.84 (define @t533 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t534 () (= @t524 @t533)) % 0.34/0.84 (define @t535 () (not (= @t525 @t529))) % 0.34/0.84 (define @t536 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t525 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t537 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t265) @t58)) % 0.34/0.84 (define @t538 () (not (= @t529 @t525))) % 0.34/0.84 (define @t539 () (@list @t58 @t524 @t265)) % 0.34/0.84 (define @t540 () (tptp.hAPP @t455 @t28)) % 0.34/0.84 (define @t541 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t68 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t542 () (not (tptp.c_Type_Otyping @t39 @t541 @t31))) % 0.34/0.84 (define @t543 () (not (tptp.c_Type_Otyping @t39 @t541 @t38))) % 0.34/0.84 (define @t544 () (@var "V_v" $$unsorted)) % 0.34/0.84 (define @t545 () (tptp.c_Lambda_OdB_OVar @t7)) % 0.34/0.84 (define @t546 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t545 @t532 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t547 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t546) @t544)))) % 0.34/0.84 (define @t548 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t7 @t532 @t544)) % 0.34/0.84 (define @t549 () (@var "V_nat" $$unsorted)) % 0.34/0.84 (define @t550 () (tptp.c_Lambda_OdB_OVar @t549)) % 0.34/0.84 (define @t551 () (@var "V_xd" $$unsorted)) % 0.34/0.84 (define @t552 () (tptp.hAPP @t322 @t549)) % 0.34/0.84 (define @t553 () (@list @t322 @t321 @t318 @t549 @t1)) % 0.34/0.84 (define @t554 () (@var "V_env" $$unsorted)) % 0.34/0.84 (define @t555 () (not @t343)) % 0.34/0.84 (define @t556 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t200) @t34)) % 0.34/0.84 (define @t557 () (= (tptp.c_Power_Opower__class_Opower @t4 @t7 @t1) @t4)) % 0.34/0.84 (define @t558 () (@list @t549)) % 0.34/0.84 (define @t559 () (= @t265 @t58)) % 0.34/0.84 (define @t560 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t525 @t532 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t200 @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (define @t561 () (@list @t265 @t532 @t58 @t524)) % 0.34/0.84 (define @t562 () (= @t532 @t524)) % 0.34/0.84 (define @t563 () (tptp.c_Lambda_OdB_OVar @t57)) % 0.34/0.84 (define @t564 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.34/0.84 (define @t565 () (not (= @t564 @t529))) % 0.34/0.84 (define @t566 () (@list @t2 @t58 @t524)) % 0.34/0.84 (define @t567 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t545 @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t568 () (@var "V_nat_H" $$unsorted)) % 0.34/0.84 (define @t569 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t564 @t532 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t567))) % 0.34/0.84 (define @t570 () (@list @t2 @t532 @t7 @t524)) % 0.34/0.84 (define @t571 () (@var "V_dB1_H" $$unsorted)) % 0.34/0.84 (define @t572 () (@var "V_dB2_H" $$unsorted)) % 0.34/0.84 (define @t573 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t571) @t572)) % 0.34/0.84 (define @t574 () (not (= @t516 @t573))) % 0.34/0.84 (define @t575 () (@list @t515 @t514 @t571 @t572)) % 0.34/0.84 (define @t576 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_r) tptp.v_s) @t24) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.84 (define @t577 () (tptp.c_Lambda_OdB_OVar tptp.v_i)) % 0.34/0.84 (define @t578 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t576) @t577)))) % 0.34/0.84 (define @t579 () (@var "T_1" $$unsorted)) % 0.34/0.84 (define @t580 () (@var "T_2" $$unsorted)) % 0.34/0.84 (define @t581 () (tptp.tc_fun @t580 @t579)) % 0.34/0.84 (define @t582 () (@list @t580 @t579)) % 0.34/0.84 (define @t583 () (@var "V_Y" $$unsorted)) % 0.34/0.84 (define @t584 () (@var "V_X" $$unsorted)) % 0.34/0.84 (assume @p1 (forall @t6 (or @t5 (tptp.c_lessequals @t4 @t3 @t1)))) % 0.34/0.84 (assume @p2 (forall @t9 (or @t5 (tptp.c_lessequals @t4 @t8 @t1)))) % 0.34/0.84 (assume @p3 (forall @t18 (or @t5 (tptp.c_lessequals @t17 @t16 @t1) @t15 @t13))) % 0.34/0.84 (assume @p4 (forall @t19 (or @t5 (tptp.c_lessequals @t4 @t17 @t1) @t15))) % 0.34/0.84 (assume @p5 (forall (@list @t1 @t11 @t2 @t7) (or @t5 (not (= @t23 @t17)) @t22 @t20))) % 0.34/0.84 (assume @p6 (forall @t27 (or @t26 (= @t25 @t21)))) % 0.34/0.84 (assume @p7 (forall @t30 (or @t29 (= (tptp.c_Power_Opower__class_Opower @t28 @t24 @t1) @t21)))) % 0.34/0.84 (assume @p8 (forall (@list @t37 @t33 @t38 @t32 @t34 @t31) (or (not (tptp.c_Type_Otyping @t37 @t33 @t38)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t37 @t32 @t38 tptp.tc_Type_Otype) @t34 @t31)) (tptp.c_Type_Otyping @t37 @t36 @t31)))) % 0.34/0.84 (assume @p9 (forall (@list @t39 @t32 @t38 @t34 @t31) (or (tptp.c_Type_Otyping @t43 @t42 @t31) @t40))) % 0.34/0.84 (assume @p10 (forall (@list @t1 @t11 @t44 @t7) (or @t5 (tptp.c_HOL_Oord__class_Oless @t48 @t17 @t1) (not (tptp.c_HOL_Oord__class_Oless @t11 @t21 @t1)) @t47 @t45))) % 0.34/0.84 (assume @p11 (forall @t18 (or @t5 (not (= @t17 @t16)) @t52 @t51 @t49 @t15))) % 0.34/0.84 (assume @p12 (forall @t19 (or @t5 (tptp.c_HOL_Oord__class_Oless @t21 @t17 @t1) @t51 @t22))) % 0.34/0.84 (assume @p13 (forall @t63 (or (= @t62 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t41 @t56)) @t60) @t57)) (not (tptp.c_HOL_Oord__class_Oless @t57 @t56 tptp.tc_nat))))) % 0.34/0.84 (assume @p14 (forall @t63 (or (= @t62 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t42) @t60) @t65)) (not (tptp.c_HOL_Oord__class_Oless @t32 @t65 tptp.tc_nat))))) % 0.34/0.84 (assume @p15 (forall @t70 (or (= @t69 (tptp.c_Lambda_OdB_OVar @t56)) @t67))) % 0.34/0.84 (assume @p16 (forall @t27 (or @t5 (tptp.c_HOL_Oord__class_Oless @t11 (tptp.hAPP @t72 @t21) @t1)))) % 0.34/0.84 (assume @p17 (forall @t81 (or @t80 @t79 @t75 @t13))) % 0.34/0.84 (assume @p18 (forall @t81 (or @t80 @t79 @t84 @t83))) % 0.34/0.84 (assume @p19 (forall @t90 (or @t89 (tptp.c_lessequals @t88 @t4 @t1) @t87 @t86))) % 0.34/0.84 (assume @p20 (forall @t27 (or @t93 @t85 (not @t92)))) % 0.34/0.84 (assume @p21 (forall @t27 (or @t93 @t92 @t86))) % 0.34/0.84 (assume @p22 (forall @t100 (or @t89 @t99 @t96 @t94 (= @t28 @t4)))) % 0.34/0.84 (assume @p23 (forall @t100 (or @t89 @t99 @t96 @t94 (= @t95 @t4)))) % 0.34/0.84 (assume @p24 (forall @t105 (or @t104 @t103 @t102 @t101 (not (tptp.c_lessequals @t4 @t74 @t1))))) % 0.34/0.84 (assume @p25 (forall @t105 (or @t104 @t103 @t102 @t106 @t15))) % 0.34/0.84 (assume @p26 (forall @t27 (or @t93 @t14 (not @t107)))) % 0.34/0.84 (assume @p27 (forall @t27 (or @t93 @t107 @t15))) % 0.34/0.84 (assume @p28 (forall @t111 (or @t89 @t110 @t110 @t109))) % 0.34/0.84 (assume @p29 (forall @t90 (or @t89 (tptp.c_lessequals @t4 @t88 @t1) @t49 @t15))) % 0.34/0.84 (assume @p30 (forall @t111 (or @t5 (tptp.c_HOL_Oord__class_Oless @t4 @t21 @t1)))) % 0.34/0.84 (assume @p31 (forall @t111 (or @t5 (not (tptp.c_HOL_Oord__class_Oless @t21 @t4 @t1))))) % 0.34/0.84 (assume @p32 (forall @t115 (or @t114 @t113 @t112))) % 0.34/0.84 (assume @p33 (forall @t100 (or @t114 @t118 @t117 @t116))) % 0.34/0.84 (assume @p34 (forall @t100 (or @t114 @t118 @t116 @t117))) % 0.34/0.84 (assume @p35 (forall @t90 (or @t119 @t82 @t13 @t52))) % 0.34/0.84 (assume @p36 (forall @t90 (or @t119 @t82 @t52 @t13))) % 0.34/0.84 (assume @p37 (forall @t100 (or @t119 @t117 @t118 @t116))) % 0.34/0.84 (assume @p38 (forall @t100 (or @t119 @t118 @t117 @t116))) % 0.34/0.84 (assume @p39 (forall @t121 (or @t119 @t120 @t101 @t52))) % 0.34/0.84 (assume @p40 (forall @t121 (or @t119 @t120 @t52 @t101))) % 0.34/0.84 (assume @p41 (forall (@list @t1 @t11 @t10 @t73 @t74) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1)) (tptp.c_lessequals @t11 @t77 @t1) @t84 (not (tptp.c_lessequals @t11 @t122 @t1))))) % 0.34/0.84 (assume @p42 (forall @t129 (or @t128 @t127 @t126 @t123))) % 0.34/0.84 (assume @p43 (forall @t129 (or @t128 @t127 @t131 @t116))) % 0.34/0.84 (assume @p44 (forall @t30 (or @t128 @t132))) % 0.34/0.84 (assume @p45 (forall @t30 (or @t119 @t132))) % 0.34/0.84 (assume @p46 (forall @t129 (or @t128 @t133 @t126 @t116))) % 0.34/0.84 (assume @p47 (forall @t138 (or @t119 @t137 @t136 @t134))) % 0.34/0.84 (assume @p48 (forall @t138 (or @t119 @t137 @t142 @t140))) % 0.34/0.84 (assume @p49 (forall @t138 (or @t119 @t143 @t142 @t134))) % 0.34/0.84 (assume @p50 (forall (@list @t39 @t32 @t31 @t1 @t57) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t39 @t32 @t31 @t1) @t57) (tptp.hAPP @t39 @t57)) @t144))) % 0.34/0.84 (assume @p51 (forall @t150 (or @t149 @t148 @t13))) % 0.34/0.84 (assume @p52 (forall @t152 (or @t149 @t151 @t13))) % 0.34/0.84 (assume @p53 (forall @t153 (or @t104 @t12 (not @t148)))) % 0.34/0.84 (assume @p54 (forall @t150 (or @t104 @t148 @t13))) % 0.34/0.84 (assume @p55 (forall @t153 (or @t104 @t12 (not @t151)))) % 0.34/0.84 (assume @p56 (forall @t152 (or @t104 @t151 @t13))) % 0.34/0.84 (assume @p57 (forall @t100 (or @t128 @t112 @t123))) % 0.34/0.84 (assume @p58 (forall @t100 (or @t119 @t112 @t123))) % 0.34/0.84 (assume @p59 (forall @t100 (or @t119 @t118 @t116 @t134))) % 0.34/0.84 (assume @p60 (forall @t100 (or @t119 @t118 @t134 @t116))) % 0.34/0.84 (assume @p61 (forall (@list @t156 @t28 @t158 @t157 @t155 @t154 @t1) (or (= (tptp.hAPP @t160 @t53) @t28) @t159))) % 0.34/0.84 (assume @p62 (forall @t111 (or @t5 (not (tptp.c_lessequals @t21 @t4 @t1))))) % 0.34/0.84 (assume @p63 (forall @t100 (or @t128 @t117 @t113 @t116))) % 0.34/0.84 (assume @p64 (forall @t111 (or @t5 (tptp.c_lessequals @t4 @t21 @t1)))) % 0.34/0.84 (assume @p65 (forall (@list @t39 @t28 @t31 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t39 @t28 @t31 @t1) @t28) @t31))) % 0.34/0.84 (assume @p66 (forall (@list @t1 @t11 @t28 @t10) (or @t114 @t164 @t163))) % 0.34/0.84 (assume @p67 (forall (@list @t1 @t10 @t28 @t11) (or @t114 @t165 @t163))) % 0.34/0.84 (assume @p68 (forall @t167 (or @t114 @t166 (not (tptp.c_lessequals @t28 @t11 @t1))))) % 0.34/0.84 (assume @p69 (forall @t167 (or @t114 @t166 (not (tptp.c_lessequals @t28 @t10 @t1))))) % 0.34/0.84 (assume @p70 (forall @t138 (or @t114 @t170 @t168))) % 0.34/0.84 (assume @p71 (forall @t138 (or @t114 @t170 @t142))) % 0.34/0.84 (assume @p72 (forall @t129 (or @t114 @t133 @t172))) % 0.34/0.84 (assume @p73 (forall @t173 (or @t114 @t125 @t172))) % 0.34/0.84 (assume @p74 (forall @t27 (or @t174 (= (tptp.c_Power_Opower__class_Opower @t11 @t53 @t1) @t11)))) % 0.34/0.84 (assume @p75 (forall @t30 (or @t29 (= (tptp.c_Power_Opower__class_Opower @t28 @t53 @t1) @t28)))) % 0.34/0.84 (assume @p76 (forall @t175 (or @t114 @t141 @t143 (not @t170)))) % 0.34/0.84 (assume @p77 (forall @t115 (or @t114 (tptp.c_lessequals @t95 @t169 @t1)))) % 0.34/0.84 (assume @p78 (forall @t100 (or @t114 (tptp.c_lessequals @t28 @t169 @t1)))) % 0.34/0.84 (assume @p79 (forall (@list @t1 @t11 @t10 @t28) (or @t114 @t162 (not @t165) (not @t164)))) % 0.34/0.84 (assume @p80 (forall @t173 (or @t114 (tptp.c_lessequals @t176 @t28 @t1) @t168 @t134))) % 0.34/0.84 (assume @p81 (forall @t177 (or @t114 @t171 @t126 (not @t133)))) % 0.34/0.84 (assume @p82 (forall @t19 (or @t5 (tptp.c_lessequals @t21 @t17 @t1) (not (tptp.c_lessequals @t21 @t11 @t1))))) % 0.34/0.84 (assume @p83 (forall @t81 (or @t149 (tptp.c_lessequals @t78 @t77 @t1) @t84 @t13))) % 0.34/0.84 (assume @p84 (forall @t100 (or @t114 @t178 @t116))) % 0.34/0.84 (assume @p85 (forall @t100 (or @t114 (not @t178) @t112))) % 0.34/0.84 (assume @p86 (forall @t100 (or @t114 (= @t169 @t28) @t134))) % 0.34/0.84 (assume @p87 (forall @t9 (or @t174 (= (tptp.c_Power_Opower__class_Opower @t21 @t7 @t1) @t21)))) % 0.34/0.84 (assume @p88 (forall @t100 (or @t114 @t117 @t113))) % 0.34/0.84 (assume @p89 (forall @t30 (or @t114 (not @t132) @t180))) % 0.34/0.84 (assume @p90 (forall @t30 (or @t114 @t179 @t132))) % 0.34/0.84 (assume @p91 (forall @t100 (or @t114 @t123 @t134))) % 0.34/0.84 (assume @p92 (forall @t115 (or @t114 @t113 @t117))) % 0.34/0.84 (assume @p93 (forall @t100 (or @t114 @t116 @t140))) % 0.34/0.84 (assume @p94 (forall @t115 (or @t114 @t139 @t112))) % 0.34/0.84 (assume @p95 (forall @t115 (or @t128 @t134 @t123))) % 0.34/0.84 (assume @p96 (forall @t111 (or @t181 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t53 @t1) @t21)))) % 0.34/0.84 (assume @p97 (forall @t111 (or @t182 (not (= @t21 @t4))))) % 0.34/0.84 (assume @p98 (forall @t111 (or @t182 (not (= @t4 @t21))))) % 0.34/0.84 (assume @p99 (forall @t90 (or @t89 @t185 @t87 @t184))) % 0.34/0.84 (assume @p100 (forall @t90 (or @t89 @t185 @t186 @t86))) % 0.34/0.84 (assume @p101 (forall @t105 (or @t104 @t103 @t187 @t106 @t47))) % 0.34/0.84 (assume @p102 (forall @t105 (or @t104 @t103 @t187 @t188 @t15))) % 0.34/0.84 (assume @p103 (forall @t90 (or @t89 @t190 @t189 @t15))) % 0.34/0.84 (assume @p104 (forall @t90 (or @t89 @t190 @t49 @t47))) % 0.34/0.84 (assume @p105 (forall @t111 (or @t5 (tptp.c_HOL_Oord__class_Oless @t4 (tptp.hAPP (tptp.hAPP @t71 @t21) @t21) @t1)))) % 0.34/0.84 (assume @p106 (forall (@list @t1 @t11 @t10 @t7) (or @t5 @t82 @t49 (not @t191)))) % 0.34/0.84 (assume @p107 (forall @t111 (or @t192 @t26 (= (tptp.c_Power_Opower__class_Opower @t4 @t24 @t1) @t21)))) % 0.34/0.84 (assume @p108 (forall (@list @t1 @t2 @t7 @t11) (or @t5 @t193 (not (tptp.c_HOL_Oord__class_Oless @t23 @t17 @t1)) @t22))) % 0.34/0.84 (assume @p109 (forall (@list @t1 @t11 @t7 @t44) (or @t5 (tptp.c_HOL_Oord__class_Oless @t17 @t48 @t1) @t22 @t45))) % 0.34/0.84 (assume @p110 (forall (@list @t1 @t28 @t95 @t10) (or @t5 @t196 (not @t195) @t194))) % 0.34/0.84 (assume @p111 (forall (@list @t1 @t10 @t28 @t95) (or @t5 @t195 @t197 @t194))) % 0.34/0.84 (assume @p112 (forall (@list @t58 @t66) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t200) @t66) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t59 @t199))))) % 0.34/0.84 (assume @p113 (forall (@list @t7 @t58 @t66) (= (tptp.c_Lambda_Oliftn @t7 @t200 @t66) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t7 @t58 @t199))))) % 0.34/0.84 (assume @p114 (forall @t202 (= (tptp.c_Lambda_Osubstn @t201 @t58 @t66) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t34 @t58 @t199))))) % 0.34/0.84 (assume @p115 (forall @t18 (or @t5 @t191 @t51 @t15 @t83))) % 0.34/0.84 (assume @p116 (forall @t202 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t201) @t58) @t66) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t59 @t24)) @t199))))) % 0.34/0.84 (assume @p117 (forall (@list @t39 @t32 @t38 @t204 @t203) (or (tptp.c_Type_Otypings @t43 @t206 @t203) @t205))) % 0.34/0.84 (assume @p118 (forall (@list @t39 @t33 @t32 @t204 @t203 @t31) (or (tptp.c_Type_Otypings @t39 @t207 @t203) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t39 @t32 @t31 tptp.tc_Type_Otype) @t204 @t203)) (not (tptp.c_Type_Otyping @t39 @t33 @t31))))) % 0.34/0.84 (assume @p119 (forall @t212 (or @t211 (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t210) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 @t208) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t209))) % 0.34/0.84 (assume @p120 (forall @t212 (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t214) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 @t208) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t213 @t211))) % 0.34/0.84 (assume @p121 (forall (@list @t2 @t66 @t7) (or (not (= (tptp.hAPP @t217 @t66) @t216)) @t20))) % 0.34/0.84 (assume @p122 (forall @t221 (or (not (= (tptp.hAPP @t219 @t95) @t220)) @t218))) % 0.34/0.84 (assume @p123 (forall @t231 (or @t230 @t226 @t224 @t222))) % 0.34/0.84 (assume @p124 (forall (@list @t234 @t28 @t233 @t232 @t1) (= (tptp.c_List_Omap @t234 @t237 @t232 @t1) (tptp.c_List_Olist_OCons @t236 @t235 @t1)))) % 0.34/0.84 (assume @p125 (forall (@list @t234 @t239 @t238 @t232 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t234 @t239) (tptp.c_List_Omap @t234 @t238 @t232 @t1) @t1) (tptp.c_List_Omap @t234 (tptp.c_List_Olist_OCons @t239 @t238 @t232) @t232 @t1)))) % 0.34/0.84 (assume @p126 (forall (@list @t234 @t28 @t239 @t232 @t1) (= (tptp.c_List_Omap @t234 (tptp.c_List_Olist_OCons @t28 @t239 @t232) @t232 @t1) (tptp.c_List_Olist_OCons @t236 (tptp.c_List_Omap @t234 @t239 @t232 @t1) @t1)))) % 0.34/0.84 (assume @p127 (forall (@list @t58 @t34 @t240) (or (tptp.hBOOL (tptp.hAPP @t246 (tptp.hAPP @t243 @t34))) @t242))) % 0.34/0.84 (assume @p128 (forall (@list @t58 @t34 @t247) (or (tptp.hBOOL (tptp.hAPP @t246 (tptp.hAPP @t244 @t247))) @t248))) % 0.34/0.84 (assume @p129 (forall (@list @t28 @t233 @t1 @t249) (= (tptp.c_List_Oappend @t251 @t249 @t1) (tptp.c_List_Olist_OCons @t28 @t250 @t1)))) % 0.34/0.84 (assume @p130 (forall (@list @t28 @t239 @t1 @t252) (= @t255 @t253))) % 0.34/0.84 (assume @p131 (forall @t90 (or @t89 @t185 @t186 @t184))) % 0.34/0.84 (assume @p132 (forall @t111 (or @t257 (= (tptp.c_List_Olistsum @t256 @t1) @t4)))) % 0.34/0.84 (assume @p133 (forall @t173 (or @t114 @t130 @t259))) % 0.34/0.84 (assume @p134 (forall @t129 (or @t114 @t127 @t259))) % 0.34/0.84 (assume @p135 (forall @t138 (or @t114 @t260 @t136))) % 0.34/0.84 (assume @p136 (forall @t138 (or @t114 @t260 (not @t137)))) % 0.34/0.84 (assume @p137 (forall @t167 (or @t114 @t261 (not (tptp.c_HOL_Oord__class_Oless @t28 @t10 @t1))))) % 0.34/0.84 (assume @p138 (forall @t167 (or @t114 @t261 (not (tptp.c_HOL_Oord__class_Oless @t28 @t11 @t1))))) % 0.34/0.84 (assume @p139 (forall (@list @t265 @t95 @t28 @t249 @t233 @t1) (or @t269 @t267 @t266))) % 0.34/0.84 (assume @p140 (forall @t274 (or @t273 (not @t272)))) % 0.34/0.84 (assume @p141 (forall (@list @t265 @t1 @t95 @t28) (or @t272 (not @t273)))) % 0.34/0.84 (assume @p142 (forall (@list @t234 @t232 @t1) (= @t276 @t256))) % 0.34/0.84 (assume @p143 (forall (@list @t234 @t232 @t11 @t1) (= (tptp.c_List_Ofoldr @t234 @t275 @t11 @t232 @t1) @t11))) % 0.34/0.84 (assume @p144 (forall (@list @t208 @t277 @t232 @t279 @t1 @t278) (= (tptp.hAPP (tptp.c_COMBC @t208 @t277 @t232 @t279 @t1) @t278) (tptp.hAPP (tptp.hAPP @t208 @t278) @t277)))) % 0.34/0.84 (assume @p145 (forall (@list @t1 @t28 @t95 @t124 @t33) (or @t284 (not (= @t283 (tptp.hAPP @t281 @t33))) (= @t280 @t33)))) % 0.34/0.84 (assume @p146 (forall (@list @t265 @t10 @t11 @t1 @t232) (or @t288 (not @t286)))) % 0.34/0.84 (assume @p147 (forall (@list @t265 @t1 @t232 @t11 @t10) (or @t286 (not @t288)))) % 0.34/0.84 (assume @p148 (forall (@list @t265 @t289 @t290 @t1 @t232) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t265 @t289) @t290)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t285 @t290) @t289)))))) % 0.34/0.84 (assume @p149 (forall (@list @t265 @t1 @t232 @t10 @t11) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t285 @t10) @t11)) @t291))) % 0.34/0.84 (assume @p150 (forall @t295 (or @t50 @t294 (not @t293)))) % 0.34/0.84 (assume @p151 (forall @t153 (or @t29 @t299))) % 0.34/0.84 (assume @p152 (forall @t302 (or @t29 (= @t301 (tptp.hAPP @t145 (tptp.hAPP @t72 @t73)))))) % 0.34/0.84 (assume @p153 (forall @t153 (or @t29 (= @t298 (tptp.hAPP @t303 @t10))))) % 0.34/0.84 (assume @p154 (forall @t302 (or @t29 (= @t301 (tptp.hAPP @t303 @t73))))) % 0.34/0.84 (assume @p155 (forall @t153 (or @t304 @t299))) % 0.34/0.84 (assume @p156 (forall @t153 (or @t103 (= @t296 (tptp.hAPP @t76 @t78))))) % 0.34/0.84 (assume @p157 (forall @t153 (or @t103 @t299))) % 0.34/0.84 (assume @p158 (forall @t305 (= (tptp.hAPP (tptp.hAPP @t54 @t292) @t66) (tptp.hAPP @t217 @t216)))) % 0.34/0.84 (assume @p159 (forall @t221 (= (tptp.hAPP @t219 @t307) (tptp.hAPP @t306 @t220)))) % 0.34/0.84 (assume @p160 (forall @t177 (or @t284 (= @t283 (tptp.hAPP @t281 @t280))))) % 0.34/0.84 (assume @p161 (forall @t177 (or @t29 (= @t283 (tptp.hAPP (tptp.hAPP @t71 @t98) @t124))))) % 0.34/0.84 (assume @p162 (forall @t138 (or @t119 @t137 @t136 @t140))) % 0.34/0.84 (assume @p163 (forall @t129 (or @t128 @t127 @t131 @t123))) % 0.34/0.84 (assume @p164 (forall (@list @t265 @t249 @t233 @t1 @t28) (or @t309 (tptp.c_ListOrder_Ostep1 @t265 (tptp.c_List_Oappend @t249 @t28 @t1) @t308 @t1)))) % 0.34/0.84 (assume @p165 (forall (@list @t265 @t28 @t311 @t1 @t310) (or (tptp.c_ListOrder_Ostep1 @t265 (tptp.c_List_Oappend @t28 @t311 @t1) (tptp.c_List_Oappend @t28 @t310 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t265 @t311 @t310 @t1))))) % 0.34/0.84 (assume @p166 (forall (@list @t58 @t240) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t200) (tptp.c_Lambda_OdB_OAbs @t240))) @t242))) % 0.34/0.84 (assume @p167 (forall (@list @t312 @t233 @t1 @t249) (or @t315 @t314))) % 0.34/0.84 (assume @p168 (forall (@list @t312 @t249 @t1 @t233) (or @t316 @t314))) % 0.34/0.84 (assume @p169 (forall @t323 (= (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t320 @t1) @t319))) % 0.34/0.84 (assume @p170 (forall (@list @t28 @t95 @t233 @t249 @t265 @t1) (or @t118 @t325 @t324))) % 0.34/0.84 (assume @p171 (forall (@list @t265 @t95 @t239 @t28 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t268 @t239))) (tptp.c_ListOrder_Ostep1 @t265 (tptp.c_List_Olist_OCons @t95 @t28 @t1) (tptp.c_List_Olist_OCons @t239 @t28 @t1) @t1)))) % 0.34/0.84 (assume @p172 (forall (@list @t312 @t1) (tptp.c_List_Olistsp @t312 @t256 @t1))) % 0.34/0.84 (assume @p173 (forall @t328 (or @t327 @t20))) % 0.34/0.84 (assume @p174 (forall (@list @t249 @t233 @t1 @t252) (or (not (= (tptp.c_List_Oappend @t249 @t233 @t1) (tptp.c_List_Oappend @t252 @t233 @t1))) @t329))) % 0.34/0.84 (assume @p175 (forall @t330 (or (not (= @t250 (tptp.c_List_Oappend @t233 @t252 @t1))) @t329))) % 0.34/0.84 (assume @p176 (forall @t177 (or @t114 @t258 @t131 (not @t127)))) % 0.34/0.84 (assume @p177 (forall (@list @t265 @t1 @t11) (tptp.hBOOL (tptp.hAPP @t331 @t11)))) % 0.34/0.84 (assume @p178 (forall (@list @t265 @t1 @t28) (tptp.hBOOL (tptp.hAPP @t332 @t28)))) % 0.34/0.84 (assume @p179 (forall @t338 (or @t337 @t336 @t334))) % 0.34/0.84 (assume @p180 (forall @t338 (or @t337 @t334 @t336))) % 0.34/0.84 (assume @p181 (forall (@list @t265 @t1 @t28 @t124 @t95) (or (tptp.hBOOL (tptp.hAPP @t332 @t124)) (not (tptp.hBOOL (tptp.hAPP @t271 @t124))) (not @t339)))) % 0.34/0.84 (assume @p182 (forall @t342 (or (tptp.c_Wellfounded_Oaccp @t341 @t34 tptp.tc_Lambda_OdB) @t340))) % 0.34/0.84 (assume @p183 (forall @t344 (or @t343 (not (tptp.c_Wellfounded_Oaccp @t341 @t265 tptp.tc_Lambda_OdB))))) % 0.34/0.84 (assume @p184 (forall @t231 (or @t345 @t226 @t224 @t222))) % 0.34/0.84 (assume @p185 (forall @t347 (= @t346 @t233))) % 0.34/0.84 (assume @p186 (forall @t348 (= @t28 (tptp.c_List_Oappend @t256 @t28 @t1)))) % 0.34/0.84 (assume @p187 (forall @t347 (= @t233 @t346))) % 0.34/0.84 (assume @p188 (forall (@list @t1 @t249) (= @t349 @t249))) % 0.34/0.84 (assume @p189 (forall (@list @t249 @t1) (= @t249 @t349))) % 0.34/0.84 (assume @p190 (forall @t352 (or @t351 @t350))) % 0.34/0.84 (assume @p191 (forall (@list @t234 @t7 @t28 @t232 @t1) (= (tptp.c_List_Omap @t234 (tptp.c_List_Oreplicate @t7 @t28 @t232) @t232 @t1) (tptp.c_List_Oreplicate @t7 @t236 @t1)))) % 0.34/0.84 (assume @p192 (forall @t221 (or @t353 @t197))) % 0.34/0.84 (assume @p193 (forall @t221 (or @t353 (not (tptp.c_HOL_Oord__class_Oless @t28 @t124 tptp.tc_nat))))) % 0.34/0.84 (assume @p194 (forall @t355 (or @t67 (not (tptp.c_HOL_Oord__class_Oless @t354 @t66 tptp.tc_nat))))) % 0.34/0.84 (assume @p195 (forall (@list @t32 @t57 @t2) (or (tptp.c_HOL_Oord__class_Oless @t32 (tptp.hAPP @t64 @t2) tptp.tc_nat) @t356))) % 0.34/0.84 (assume @p196 (forall (@list @t32 @t2 @t57) (or (tptp.c_HOL_Oord__class_Oless @t32 (tptp.hAPP @t217 @t57) tptp.tc_nat) @t356))) % 0.34/0.84 (assume @p197 (forall (@list @t1 @t11 @t74) (or @t29 (= @t78 @t147)))) % 0.34/0.84 (assume @p198 (forall @t90 (or @t103 (= @t88 @t357)))) % 0.34/0.84 (assume @p199 (forall @t359 (= @t292 @t358))) % 0.34/0.84 (assume @p200 (forall (@list @t2 @t360 @t66 @t7) (or (not (= (tptp.hAPP @t217 @t360) @t362)) @t361 @t193))) % 0.34/0.84 (assume @p201 (forall @t100 (or @t29 (= @t98 (tptp.hAPP @t281 @t28))))) % 0.34/0.84 (assume @p202 (forall (@list @t234 @t233 @t249 @t232 @t11 @t1) (= (tptp.c_List_Ofoldr @t234 @t363 @t11 @t232 @t1) (tptp.c_List_Ofoldr @t234 @t233 (tptp.c_List_Ofoldr @t234 @t249 @t11 @t232 @t1) @t232 @t1)))) % 0.34/0.84 (assume @p203 (forall (@list @t265 @t95 @t28 @t249 @t1 @t233) (or @t269 @t364 @t266))) % 0.34/0.84 (assume @p204 (forall @t365 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t3 @t8)) @t20))) % 0.34/0.84 (assume @p205 (forall (@list @t1 @t234 @t233 @t232) (or (not (= @t256 @t235)) @t366))) % 0.34/0.84 (assume @p206 (forall (@list @t157 @t156 @t28 @t368 @t367 @t158 @t155 @t154 @t1) (or (= (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t160 @t368)) @t369) (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP @t54 @t368) @t367))) @t159))) % 0.34/0.84 (assume @p207 (forall @t375 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t374) @t372)) @t370))) % 0.34/0.84 (assume @p208 (forall @t352 (or @t351 @t370))) % 0.34/0.84 (assume @p209 (forall (@list @t1 @t233 @t11) (or @t304 (= (tptp.c_List_Ofoldr @t71 @t233 @t11 @t1 @t1) @t376)))) % 0.34/0.84 (assume @p210 (forall @t274 (or @t339 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t265 @t28) @t95)))))) % 0.34/0.84 (assume @p211 (forall (@list @t265 @t1 @t233) (not (tptp.c_ListOrder_Ostep1 @t265 @t256 @t233 @t1)))) % 0.34/0.84 (assume @p212 (forall (@list @t265 @t233 @t1) (not (tptp.c_ListOrder_Ostep1 @t265 @t233 @t256 @t1)))) % 0.34/0.84 (assume @p213 (forall @t27 (or @t93 @t377 @t184))) % 0.34/0.84 (assume @p214 (forall @t27 (or @t93 @t183 @t378))) % 0.34/0.84 (assume @p215 (forall @t380 (or (not (= @t379 @t362)) @t20))) % 0.34/0.84 (assume @p216 (forall @t177 (or @t382 @t381 (not (= @t98 @t280)) @t218))) % 0.34/0.84 (assume @p217 (forall @t153 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t384 @t383))) % 0.34/0.84 (assume @p218 (forall @t153 (or @t385 @t384 @t383))) % 0.34/0.84 (assume @p219 (forall @t105 (or @t385 (not (= @t357 @t147)) @t383))) % 0.34/0.84 (assume @p220 (forall (@list @t28 @t239 @t252 @t1) (= @t253 @t255))) % 0.34/0.84 (assume @p221 (forall (@list @t28 @t386 @t252 @t1) (= (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t386 @t252 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t28 @t386 @t1) @t252 @t1)))) % 0.34/0.84 (assume @p222 (forall (@list @t28 @t239 @t1) (not (= @t254 @t256)))) % 0.34/0.84 (assume @p223 (forall (@list @t388 @t387 @t1) (not (= @t389 @t256)))) % 0.34/0.84 (assume @p224 (forall (@list @t156 @t157 @t28 @t95 @t367 @t158 @t155 @t154 @t1) (or (= (tptp.hAPP (tptp.hAPP @t156 @t391) @t367) (tptp.hAPP (tptp.hAPP @t157 @t369) (tptp.hAPP (tptp.hAPP @t156 @t95) @t367))) @t159))) % 0.34/0.84 (assume @p225 (forall (@list @t157 @t28 @t158 @t95 @t124 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t390 @t393) (tptp.hAPP (tptp.hAPP @t158 @t391) (tptp.hAPP @t390 @t124))) @t159))) % 0.34/0.84 (assume @p226 (forall (@list @t157 @t28 @t95 @t158 @t156 @t155 @t154 @t1) (or (= @t391 (tptp.hAPP @t394 @t28)) @t159))) % 0.34/0.84 (assume @p227 (forall (@list @t157 @t28 @t95 @t124 @t158 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t390 (tptp.hAPP @t394 @t124)) (tptp.hAPP (tptp.hAPP @t157 @t391) @t124)) @t159))) % 0.34/0.84 (assume @p228 (forall (@list @t157 @t154 @t28 @t158 @t156 @t155 @t1) (or (= (tptp.hAPP @t395 @t28) @t28) @t159))) % 0.34/0.84 (assume @p229 (forall (@list @t157 @t155 @t28 @t158 @t156 @t154 @t1) (or (= (tptp.hAPP @t396 @t28) @t155) @t159))) % 0.34/0.84 (assume @p230 (forall (@list @t158 @t28 @t95 @t157 @t156 @t155 @t154 @t1) (or (= @t398 (tptp.hAPP @t392 @t28)) @t159))) % 0.34/0.84 (assume @p231 (forall (@list @t158 @t28 @t95 @t124 @t157 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t397 @t393) (tptp.hAPP (tptp.hAPP @t158 @t398) @t124)) @t159))) % 0.34/0.84 (assume @p232 (forall (@list @t158 @t155 @t28 @t157 @t156 @t154 @t1) (or (= (tptp.hAPP @t399 @t28) @t28) @t159))) % 0.34/0.84 (assume @p233 (forall @t406 (or (= @t405 (tptp.hAPP @t402 @t73)) @t159))) % 0.34/0.84 (assume @p234 (forall (@list @t158 @t11 @t74 @t157 @t156 @t155 @t154 @t1) (or (= @t401 (tptp.hAPP @t403 @t11)) @t159))) % 0.34/0.84 (assume @p235 (forall @t410 (or (= @t409 (tptp.hAPP @t402 @t10)) @t159))) % 0.34/0.84 (assume @p236 (forall @t406 (or (= @t405 (tptp.hAPP @t403 (tptp.hAPP @t400 @t73))) @t159))) % 0.34/0.84 (assume @p237 (forall @t410 (or (= @t409 (tptp.hAPP @t400 (tptp.hAPP @t411 @t74))) @t159))) % 0.34/0.84 (assume @p238 (forall (@list @t158 @t11 @t10 @t74 @t73 @t157 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t408 @t404) (tptp.hAPP @t402 (tptp.hAPP @t411 @t73))) @t159))) % 0.34/0.84 (assume @p239 (forall @t419 (or (= @t418 (tptp.hAPP @t416 (tptp.hAPP @t414 @t412))) @t159))) % 0.34/0.84 (assume @p240 (forall @t419 (or (= @t418 (tptp.hAPP @t420 @t412)) @t159))) % 0.34/0.84 (assume @p241 (forall @t425 (or (= @t424 (tptp.hAPP @t414 (tptp.hAPP @t422 @t415))) @t159))) % 0.34/0.84 (assume @p242 (forall @t425 (or (= @t424 (tptp.hAPP @t420 @t421)) @t159))) % 0.34/0.84 (assume @p243 (forall @t427 (or (= @t426 (tptp.hAPP @t416 (tptp.hAPP @t423 @t412))) @t159))) % 0.34/0.84 (assume @p244 (forall @t427 (or (= @t426 (tptp.hAPP @t414 (tptp.hAPP @t422 @t417))) @t159))) % 0.34/0.84 (assume @p245 (forall @t427 (or (= @t426 (tptp.hAPP @t420 (tptp.hAPP @t422 @t412))) @t159))) % 0.34/0.84 (assume @p246 (forall (@list @t157 @t11 @t154 @t158 @t156 @t155 @t1) (or (= (tptp.hAPP @t428 @t154) @t11) @t159))) % 0.34/0.84 (assume @p247 (forall (@list @t157 @t154 @t11 @t158 @t156 @t155 @t1) (or (= (tptp.hAPP @t395 @t11) @t11) @t159))) % 0.34/0.84 (assume @p248 (forall (@list @t157 @t11 @t155 @t158 @t156 @t154 @t1) (or (= (tptp.hAPP @t428 @t155) @t155) @t159))) % 0.34/0.84 (assume @p249 (forall (@list @t157 @t155 @t11 @t158 @t156 @t154 @t1) (or (= (tptp.hAPP @t396 @t11) @t155) @t159))) % 0.34/0.84 (assume @p250 (forall (@list @t157 @t158 @t11 @t10 @t74 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t430 @t74) (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t428 @t74)) (tptp.hAPP @t429 @t74))) @t159))) % 0.34/0.84 (assume @p251 (forall (@list @t157 @t11 @t10 @t158 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t428 @t10) (tptp.hAPP @t429 @t11)) @t159))) % 0.34/0.84 (assume @p252 (forall (@list @t158 @t11 @t155 @t157 @t156 @t154 @t1) (or (= (tptp.hAPP @t400 @t155) @t11) @t159))) % 0.34/0.84 (assume @p253 (forall (@list @t158 @t155 @t11 @t157 @t156 @t154 @t1) (or (= (tptp.hAPP @t399 @t11) @t11) @t159))) % 0.34/0.84 (assume @p254 (forall (@list @t158 @t2 @t157 @t154 @t156 @t155 @t1) (or (= (tptp.hAPP @t431 @t2) (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP (tptp.hAPP @t158 @t154) @t154)) @t2)) @t159))) % 0.34/0.84 (assume @p255 (forall (@list @t158 @t2 @t157 @t11 @t154 @t156 @t155 @t1) (or (= (tptp.hAPP @t431 @t433) @t432) @t159))) % 0.34/0.84 (assume @p256 (forall (@list @t158 @t157 @t11 @t2 @t154 @t156 @t155 @t1) (or (= (tptp.hAPP @t434 @t2) @t432) @t159))) % 0.34/0.84 (assume @p257 (forall (@list @t158 @t157 @t11 @t2 @t10 @t156 @t155 @t154 @t1) (or (= (tptp.hAPP @t434 (tptp.hAPP @t429 @t2)) (tptp.hAPP @t430 @t2)) @t159))) % 0.34/0.84 (assume @p258 (forall (@list @t28 @t95 @t265 @t249 @t1 @t233) (or @t118 @t269 @t324))) % 0.34/0.84 (assume @p259 (forall (@list @t1 @t11 @t10 @t74 @t73) (or @t29 (= (tptp.hAPP @t297 @t300) (tptp.hAPP @t303 @t77))))) % 0.34/0.84 (assume @p260 (forall (@list @t58 @t34 @t240 @t247) (or (tptp.hBOOL (tptp.hAPP @t246 (tptp.hAPP @t243 @t247))) @t248 @t242))) % 0.34/0.84 (assume @p261 (forall @t6 (or @t5 (not (tptp.c_HOL_Oord__class_Oless @t3 @t4 @t1))))) % 0.34/0.84 (assume @p262 (forall @t100 (or @t114 (= @t169 (tptp.c_Orderings_Oord__class_Omax @t95 @t28 @t1))))) % 0.34/0.84 (assume @p263 (forall @t437 (or (= @t436 @t68) @t435))) % 0.34/0.84 (assume @p264 (forall @t439 (or @t438 @t40 @t248))) % 0.34/0.84 (assume @p265 (forall @t348 (= @t440 @t256))) % 0.34/0.84 (assume @p266 (forall @t70 (or (= @t69 @t68) @t435))) % 0.34/0.84 (assume @p267 (forall @t442 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t441) @t60)) @t350))) % 0.34/0.84 (assume @p268 (forall (@list @t28 @t34 @t1) (not (= (tptp.c_List_Olist_OCons @t28 @t34 @t1) @t34)))) % 0.34/0.84 (assume @p269 (forall (@list @t233 @t28 @t1) (not (= @t233 @t251)))) % 0.34/0.84 (assume @p270 (forall @t231 (or @t230 @t444 @t443 @t222))) % 0.34/0.84 (assume @p271 (forall @t447 (or @t446 (= (tptp.c_Lambda_Osubstn @t445 @t58 @t28) (tptp.c_Lambda_Oliftn @t28 @t58 @t24))))) % 0.34/0.84 (assume @p272 (forall (@list @t28 @t233 @t1) (= @t251 @t448))) % 0.34/0.84 (assume @p273 (forall @t177 (or @t104 (= (tptp.hAPP (tptp.hAPP @t71 @t169) @t124) (tptp.c_Orderings_Oord__class_Omax @t280 @t282 @t1))))) % 0.34/0.84 (assume @p274 (forall (@list @t1 @t234 @t232) (= @t256 @t276))) % 0.34/0.84 (assume @p275 (forall (@list @t249 @t233 @t265 @t1 @t95 @t28) (or @t449 @t267 @t266))) % 0.34/0.84 (assume @p276 (forall @t177 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t169 @t124 @t1) @t450)))) % 0.34/0.84 (assume @p277 (forall @t177 (or @t114 (= @t450 (tptp.c_Orderings_Oord__class_Omax @t95 (tptp.c_Orderings_Oord__class_Omax @t28 @t124 @t1) @t1))))) % 0.34/0.84 (assume @p278 (forall @t111 (= @t256 @t451))) % 0.34/0.84 (assume @p279 (forall (@list @t265 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t270 @t1) @t270))) % 0.34/0.84 (assume @p280 (forall @t453 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t200) @t201)) @t452))) % 0.34/0.84 (assume @p281 (forall @t100 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t28 @t169 @t1) @t169)))) % 0.34/0.84 (assume @p282 (forall (@list @t32 @t28 @t1) (= (tptp.c_List_Oappend @t454 @t262 @t1) (tptp.c_List_Olist_OCons @t28 @t454 @t1)))) % 0.34/0.84 (assume @p283 (forall (@list @t455 @t11 @t456 @t1) (or (= (tptp.hAPP @t458 @t456) @t11) @t457))) % 0.34/0.84 (assume @p284 (forall (@list @t455 @t456 @t11 @t1) (or (= (tptp.hAPP (tptp.hAPP @t455 @t456) @t11) @t11) @t457))) % 0.34/0.84 (assume @p285 (forall @t359 (or @t293 @t51))) % 0.34/0.84 (assume @p286 (forall @t359 (or @t293 (not @t294)))) % 0.34/0.84 (assume @p287 (forall @t27 (or @t93 @t46 (not @t459)))) % 0.34/0.84 (assume @p288 (forall @t27 (or @t93 @t459 @t47))) % 0.34/0.84 (assume @p289 (forall @t231 (or @t345 @t226 @t443 @t222))) % 0.34/0.84 (assume @p290 (forall @t231 (or @t460 @t444 @t224 @t222))) % 0.34/0.84 (assume @p291 (forall @t231 (or @t460 @t226 @t443 @t222))) % 0.34/0.84 (assume @p292 (forall @t19 (or @t182 @t464 @t463 @t26 @t462 @t461))) % 0.34/0.84 (assume @p293 (forall @t19 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t462 @t461))) % 0.34/0.84 (assume @p294 (forall @t27 (or @t93 (not (= @t91 @t4)) @t461))) % 0.34/0.84 (assume @p295 (forall (@list @t1 @t28 @t11) (or @t382 @t381 (not (= @t28 (tptp.hAPP @t97 @t11))) @t461))) % 0.34/0.84 (assume @p296 (forall @t111 (or @t93 @t109))) % 0.34/0.84 (assume @p297 (forall @t30 (or @t29 (= (tptp.hAPP @t108 @t28) @t28)))) % 0.34/0.84 (assume @p298 (forall @t27 (or @t103 @t465))) % 0.34/0.84 (assume @p299 (forall @t30 (or @t382 @t381 (= @t28 (tptp.hAPP @t97 @t4))))) % 0.34/0.84 (assume @p300 (forall @t27 (or @t103 @t466))) % 0.34/0.84 (assume @p301 (forall @t27 (or @t257 @t465))) % 0.34/0.84 (assume @p302 (forall @t27 (or @t257 @t466))) % 0.34/0.84 (assume @p303 (forall @t27 (or @t29 @t466))) % 0.34/0.84 (assume @p304 (forall @t27 (or @t29 @t465))) % 0.34/0.84 (assume @p305 (not (tptp.c_HOL_Oord__class_Oless @t24 @t24 tptp.tc_nat))) % 0.34/0.84 (assume @p306 (forall (@list @t34 @t66) (= (tptp.c_Lambda_Oliftn @t24 @t34 @t66) @t34))) % 0.34/0.84 (assume @p307 (forall @t468 (or @t50 @t467))) % 0.34/0.84 (assume @p308 (forall @t359 (or @t469 @t467))) % 0.34/0.84 (assume @p309 (forall @t359 (or @t469 @t470))) % 0.34/0.84 (assume @p310 (forall (@list @t28 @t11) (or (not (= @t28 (tptp.hAPP @t219 @t11))) (= @t11 @t24)))) % 0.34/0.84 (assume @p311 (forall @t359 (or (not (= @t292 @t2)) @t467))) % 0.34/0.84 (assume @p312 (= (tptp.hAPP @t471 @t24) @t24)) % 0.34/0.84 (assume @p313 (forall @t472 (not (tptp.c_HOL_Oord__class_Oless @t2 @t24 tptp.tc_nat)))) % 0.34/0.84 (assume @p314 (forall @t468 (not (tptp.c_HOL_Oord__class_Oless @t7 @t24 tptp.tc_nat)))) % 0.34/0.84 (assume @p315 (forall @t27 (or @t473 @t183 @t378))) % 0.34/0.84 (assume @p316 (forall @t27 (or @t473 @t377 @t184))) % 0.34/0.84 (assume @p317 (forall @t19 (or @t5 (tptp.c_HOL_Oord__class_Oless @t4 @t17 @t1) @t47))) % 0.34/0.84 (assume @p318 (forall @t175 (or @t114 @t135 @t137 (not @t260)))) % 0.34/0.84 (assume @p319 (forall @t476 (or (= (tptp.c_Lambda_Osubstn @t68 @t58 @t66) @t68) @t475 @t474))) % 0.34/0.84 (assume @p320 (forall @t479 (or @t478 @t477))) % 0.34/0.84 (assume @p321 (forall @t479 (or @t478 @t480))) % 0.34/0.84 (assume @p322 (forall (@list @t317 @t481) (or (not (= @t320 @t482)) (= @t317 @t481)))) % 0.34/0.84 (assume @p323 (forall @t484 (or @t483 @t477))) % 0.34/0.84 (assume @p324 (forall @t484 (or @t483 @t480))) % 0.34/0.84 (assume @p325 (forall @t111 (= (tptp.c_Predicate_Oconversep @t485 @t1 @t1) @t485))) % 0.34/0.84 (assume @p326 (forall @t231 (or @t345 @t444 @t224 @t222))) % 0.34/0.84 (assume @p327 (forall @t30 (= @t256 @t440))) % 0.34/0.84 (assume @p328 (forall @t486 (not @t446))) % 0.34/0.84 (assume @p329 (forall @t468 (not (tptp.c_HOL_Oord__class_Oless @t7 @t7 tptp.tc_nat)))) % 0.34/0.84 (assume @p330 (forall @t30 (or @t119 @t180))) % 0.34/0.84 (assume @p331 (forall @t30 (or @t114 @t180))) % 0.34/0.84 (assume @p332 (forall @t30 (or @t128 @t180))) % 0.34/0.84 (assume @p333 (forall @t437 (or (= @t436 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t55 @t7))) @t67))) % 0.34/0.84 (assume @p334 (forall @t442 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t441) @t60)) @t370))) % 0.34/0.84 (assume @p335 (forall @t90 (or @t89 @t190 @t189 @t47))) % 0.34/0.84 (assume @p336 (forall @t487 (or @t267 @t325 @t324))) % 0.34/0.84 (assume @p337 (forall (@list @t455 @t11 @t10 @t74 @t1) (or (= (tptp.hAPP (tptp.hAPP @t455 (tptp.hAPP @t458 @t10)) @t74) (tptp.hAPP @t458 (tptp.hAPP (tptp.hAPP @t455 @t10) @t74))) @t488))) % 0.34/0.84 (assume @p338 (forall @t490 (or @t257 (= (tptp.c_List_Olistsum @t251 @t1) (tptp.hAPP @t97 @t489))))) % 0.34/0.84 (assume @p339 (forall (@list @t234 @t233 @t249 @t232 @t1) (= (tptp.c_List_Omap @t234 @t363 @t232 @t1) (tptp.c_List_Oappend @t235 (tptp.c_List_Omap @t234 @t249 @t232 @t1) @t1)))) % 0.34/0.84 (assume @p340 (forall @t231 (or @t460 @t226 @t224 @t222))) % 0.34/0.84 (assume @p341 (forall @t115 (or @t473 @t139 @t117 @t118))) % 0.34/0.84 (assume @p342 (forall @t100 (or @t114 @t118 @t139 @t117))) % 0.34/0.84 (assume @p343 (forall @t295 (or @t491 @t193 @t20))) % 0.34/0.84 (assume @p344 (forall (@list @t208 @t7 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t208 @t7) @t2)) @t491 @t20 @t193))) % 0.34/0.84 (assume @p345 (forall (@list @t95 @t28) (or (tptp.c_HOL_Oord__class_Oless @t95 @t28 tptp.tc_nat) @t196 @t118))) % 0.34/0.84 (assume @p346 (forall @t115 (or @t114 @t139 @t117 @t118))) % 0.34/0.84 (assume @p347 (forall (@list @t7 @t28 @t1 @t66) (= (tptp.c_List_Oappend @t492 @t493 @t1) (tptp.c_List_Oappend @t493 @t492 @t1)))) % 0.34/0.84 (assume @p348 (forall @t115 (or @t114 @t139 @t118 @t117))) % 0.34/0.84 (assume @p349 (forall @t100 (or @t114 @t118 @t117 @t139))) % 0.34/0.84 (assume @p350 (forall @t30 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t28 @t28 @t1) @t28)))) % 0.34/0.84 (assume @p351 (forall @t81 (or @t80 @t79 @t75 @t83))) % 0.34/0.84 (assume @p352 (forall (@list @t32 @t66 @t57 @t360) (or (tptp.c_HOL_Oord__class_Oless @t494 (tptp.hAPP @t64 @t360) tptp.tc_nat) @t361 @t356))) % 0.34/0.84 (assume @p353 (forall (@list @t1 @t388 @t387) (not (= @t256 @t389)))) % 0.34/0.84 (assume @p354 (forall @t365 (or @t5 @t496 @t495))) % 0.34/0.84 (assume @p355 (forall @t365 (or @t5 @t193 (not @t496)))) % 0.34/0.84 (assume @p356 (forall @t498 (or @t257 (= @t489 @t497)))) % 0.34/0.84 (assume @p357 (forall @t231 (or @t230 @t226 @t443 @t222))) % 0.34/0.84 (assume @p358 (forall (@list @t7 @t2 @t28 @t1) (= (tptp.c_List_Oreplicate @t358 @t28 @t1) (tptp.c_List_Oappend @t492 @t326 @t1)))) % 0.34/0.84 (assume @p359 (forall @t9 (or @t5 @t499 @t51))) % 0.34/0.84 (assume @p360 (forall @t9 (or @t5 @t50 (not @t499)))) % 0.34/0.84 (assume @p361 (forall (@list @t249 @t233 @t95 @t28 @t265 @t1) (or @t449 @t364 @t266))) % 0.34/0.84 (assume @p362 (forall (@list @t34 @t204 @t32) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t500) @t32) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t42 @t206 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (assume @p363 (forall (@list @t7 @t28 @t1) (or (not (= @t492 @t256)) @t467))) % 0.34/0.84 (assume @p364 (forall (@list @t312 @t233 @t249 @t1) (or @t313 (not @t316) (not @t315)))) % 0.34/0.84 (assume @p365 (forall @t323 (= (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t320 @t1) (tptp.hAPP @t319 (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t317 @t1))))) % 0.34/0.84 (assume @p366 (forall @t111 (or @t501 (tptp.c_OrderedGroup_Osemigroup__add @t71 @t1)))) % 0.34/0.84 (assume @p367 (forall (@list @t1 @t7 @t28) (or (not (= @t256 @t492)) @t467))) % 0.34/0.84 (assume @p368 (forall @t105 (or @t5 @t187 @t188 @t47))) % 0.34/0.84 (assume @p369 (forall (@list @t234 @t28 @t233 @t232 @t11 @t1) (= (tptp.c_List_Ofoldr @t234 @t237 @t11 @t232 @t1) (tptp.hAPP @t236 (tptp.c_List_Ofoldr @t234 @t233 @t11 @t232 @t1))))) % 0.34/0.84 (assume @p370 (forall (@list @t208 @t322 @t321 @t318 @t317) (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t320 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t208 @t319))))) % 0.34/0.84 (assume @p371 (forall (@list @t208 @t322 @t321 @t318 @t239) (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 (tptp.c_Lambda_OdB_OAbs @t239) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t208 (tptp.hAPP @t318 @t239)))))) % 0.34/0.84 (assume @p372 (forall (@list @t265 @t1 @t232) (= (tptp.c_Predicate_Oconversep @t285 @t232 @t1) @t265))) % 0.34/0.84 (assume @p373 (forall (@list @t32 @t57) (not (tptp.c_HOL_Oord__class_Oless @t354 @t32 tptp.tc_nat)))) % 0.34/0.84 (assume @p374 (forall (@list @t57 @t32) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t64 @t32) @t32 tptp.tc_nat)))) % 0.34/0.84 (assume @p375 (forall @t484 (or (not (= @t250 @t233)) @t480))) % 0.34/0.84 (assume @p376 (forall @t484 (or (not (= @t233 @t250)) @t480))) % 0.34/0.84 (assume @p377 (forall @t484 (or (not (= @t250 @t249)) @t477))) % 0.34/0.84 (assume @p378 (forall (@list @t249 @t233 @t1) (or (not (= @t249 @t250)) @t477))) % 0.34/0.84 (assume @p379 (forall @t490 (= @t448 @t251))) % 0.34/0.84 (assume @p380 (forall @t152 (or @t80 @t502 @t83))) % 0.34/0.84 (assume @p381 (forall @t152 (or @t104 @t502 @t83))) % 0.34/0.84 (assume @p382 (forall @t153 (or @t104 @t82 (not @t502)))) % 0.34/0.84 (assume @p383 (forall @t150 (or @t80 @t503 @t83))) % 0.34/0.84 (assume @p384 (forall @t150 (or @t104 @t503 @t83))) % 0.34/0.84 (assume @p385 (forall @t153 (or @t104 @t82 (not @t503)))) % 0.34/0.84 (assume @p386 (forall @t355 (or (tptp.c_HOL_Oord__class_Oless @t494 (tptp.hAPP @t64 @t66) tptp.tc_nat) @t356))) % 0.34/0.84 (assume @p387 (forall @t305 (or @t193 (not @t504)))) % 0.34/0.84 (assume @p388 (forall @t380 (or @t504 @t495))) % 0.34/0.84 (assume @p389 (forall @t231 (or @t230 @t444 @t224 @t222))) % 0.34/0.84 (assume @p390 (forall @t507 (or @t506 (= @t11 @t388)))) % 0.34/0.84 (assume @p391 (forall @t507 (or @t506 (= @t505 @t387)))) % 0.34/0.84 (assume @p392 (forall @t439 (or @t438 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t34) @t247))) @t40))) % 0.34/0.84 (assume @p393 (forall @t487 (or @t267 @t269 @t324))) % 0.34/0.84 (assume @p394 (forall (@list @t265 @t28 @t249 @t1 @t233) (or (tptp.c_ListOrder_Ostep1 @t265 (tptp.c_List_Olist_OCons @t28 @t249 @t1) @t251 @t1) @t309))) % 0.34/0.84 (assume @p395 (forall (@list @t7 @t28 @t1 @t233) (= (tptp.c_List_Oappend @t492 @t251 @t1) (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oappend @t492 @t233 @t1) @t1)))) % 0.34/0.84 (assume @p396 (forall @t365 (or @t181 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t292 @t1) (tptp.hAPP (tptp.hAPP @t71 @t3) @t8))))) % 0.34/0.84 (assume @p397 (forall (@list @t234 @t233 @t232 @t1) (or (not (= @t235 @t256)) @t366))) % 0.34/0.84 (assume @p398 (forall @t479 (or @t257 (= (tptp.c_List_Olistsum @t250 @t1) (tptp.hAPP (tptp.hAPP @t71 @t489) (tptp.c_List_Olistsum @t249 @t1)))))) % 0.34/0.84 (assume @p399 (forall @t509 (or @t508 @t325))) % 0.34/0.84 (assume @p400 (forall @t509 (or @t508 @t118))) % 0.34/0.84 (assume @p401 (forall @t111 (= @t451 @t256))) % 0.34/0.84 (assume @p402 (forall (@list @t204) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t24 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @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))))) % 0.34/0.84 (assume @p403 (forall @t330 (= (tptp.c_List_Oappend @t250 @t252 @t1) (tptp.c_List_Oappend @t233 (tptp.c_List_Oappend @t249 @t252 @t1) @t1)))) % 0.34/0.84 (assume @p404 (forall (@list @t233 @t386 @t310 @t1) (= (tptp.c_List_Oappend @t233 (tptp.c_List_Oappend @t386 @t310 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t233 @t386 @t1) @t310 @t1)))) % 0.34/0.84 (assume @p405 (forall (@list @t252 @t28 @t1 @t249) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t252 @t28 @t1) @t249 @t1) (tptp.c_List_Oappend @t252 (tptp.c_List_Oappend @t28 @t249 @t1) @t1)))) % 0.34/0.84 (assume @p406 (forall (@list @t233 @t28 @t204 @t1) (= (tptp.c_List_Oappend @t233 (tptp.c_List_Oappend @t28 @t204 @t1) @t1) (tptp.c_List_Oappend @t308 @t204 @t1)))) % 0.34/0.84 (assume @p407 (forall @t90 (or @t119 @t83 @t510))) % 0.34/0.84 (assume @p408 (forall @t512 (or @t511 (not (tptp.hBOOL (tptp.hAPP @t335 @t74))) @t291))) % 0.34/0.84 (assume @p409 (forall @t512 (or @t511 (not (tptp.hBOOL (tptp.hAPP @t287 @t74))) (not (tptp.hBOOL (tptp.hAPP @t331 @t10)))))) % 0.34/0.84 (assume @p410 (forall @t100 (or @t114 @t123 @t140))) % 0.34/0.84 (assume @p411 (forall (@list @t265 @t95 @t1 @t11) (or (tptp.c_Wellfounded_Oaccp @t265 @t95 @t1) (not (tptp.hBOOL (tptp.hAPP @t268 @t11))) @t334))) % 0.34/0.84 (assume @p412 (forall @t115 (or @t128 @t140 @t123))) % 0.34/0.84 (assume @p413 (forall (@list @t265 @t11 @t1 @t10) (or @t333 @t291 (not @t337)))) % 0.34/0.84 (assume @p414 (forall @t121 (or @t128 @t510 @t83))) % 0.34/0.84 (assume @p415 (forall (@list @t74) (= (tptp.c_Nat_Osize__class_Osize @t74 tptp.tc_String_Ochar) @t24))) % 0.34/0.84 (assume @p416 (forall (@list @t28 @t1 @t95) (= @t440 (tptp.c_List_Oreplicate @t24 @t95 @t1)))) % 0.34/0.84 (assume @p417 (forall @t468 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t24 tptp.tc_nat) @t7))) % 0.34/0.84 (assume @p418 (forall @t468 (= (tptp.c_Orderings_Oord__class_Omax @t24 @t7 tptp.tc_nat) @t7))) % 0.34/0.84 (assume @p419 (forall @t328 (or @t327 @t118 @t470))) % 0.34/0.84 (assume @p420 (forall @t486 (= @t28 (tptp.hAPP @t219 @t24)))) % 0.34/0.84 (assume @p421 (forall @t468 (= (tptp.hAPP @t471 @t7) @t7))) % 0.34/0.84 (assume @p422 (forall @t472 (= (tptp.hAPP @t217 @t24) @t2))) % 0.34/0.84 (assume @p423 (forall (@list @t156 @t28 @t154 @t158 @t157 @t155 @t1) (or (= (tptp.hAPP @t160 @t24) @t154) @t159))) % 0.34/0.84 (assume @p424 (forall @t498 (or @t257 (= @t513 @t497)))) % 0.34/0.84 (assume @p425 (forall @t498 (or @t257 (= @t489 @t513)))) % 0.34/0.84 (assume @p426 (forall (@list @t1 @t11 @t233) (or @t257 (= @t376 (tptp.hAPP @t72 @t497))))) % 0.34/0.84 (assume @p427 (forall (@list @t515 @t514 @t481) (not (= @t516 @t482)))) % 0.34/0.84 (assume @p428 (forall (@list @t481 @t515 @t514) (not (= @t482 @t516)))) % 0.34/0.84 (assume @p429 (forall (@list @t208 @t322 @t321 @t318 @t238 @t517) (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t238) @t517) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t208 (tptp.hAPP (tptp.hAPP @t321 @t238) @t517)))))) % 0.34/0.84 (assume @p430 (forall (@list @t208 @t322 @t321 @t318 @t515 @t514) (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t516 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t208 @t518))))) % 0.34/0.84 (assume @p431 (forall (@list @t58 @t34 @t66) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t245) @t66) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t59 @t66)) @t519)))) % 0.34/0.84 (assume @p432 (forall @t520 (= (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t516 @t1) @t518))) % 0.34/0.84 (assume @p433 (forall @t520 (= (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t516 @t1) (tptp.hAPP (tptp.hAPP @t518 (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t515 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t514 @t1))))) % 0.34/0.84 (assume @p434 (forall (@list @t33 @t58 @t34) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t521 @t58)) (tptp.hAPP @t521 @t34))) @t452))) % 0.34/0.84 (assume @p435 (forall (@list @t58 @t33 @t34) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t244 @t33)) @t522)) @t452))) % 0.34/0.84 (assume @p436 (forall (@list @t7 @t58 @t34 @t66) (= (tptp.c_Lambda_Oliftn @t7 @t245 @t66) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t7 @t58 @t66)) (tptp.c_Lambda_Oliftn @t7 @t34 @t66))))) % 0.34/0.84 (assume @p437 (forall @t523 (= (tptp.c_Lambda_Osubstn @t522 @t58 @t66) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t34 @t58 @t66)) (tptp.c_Lambda_Osubstn @t33 @t58 @t66))))) % 0.34/0.84 (assume @p438 (forall (@list @t34 @t58 @t7) (= (tptp.c_Lambda_Osubstn @t34 @t58 @t7) (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Lambda_Oliftn @t7 @t58 @t24)) @t7)))) % 0.34/0.84 (assume @p439 (forall @t528 (or (not (tptp.c_Wellfounded_Oaccp @t341 @t527 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t341 @t58 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t341 @t526 tptp.tc_Lambda_OdB)))) % 0.34/0.84 (assume @p440 (forall @t531 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t530) @t529)) @t370))) % 0.34/0.84 (assume @p441 (forall (@list @t265 @t532 @t524) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t265 @t532 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t530)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t532 @t524 tptp.tc_Lambda_OdB))))) % 0.34/0.84 (assume @p442 (forall @t528 (or @t535 @t534))) % 0.34/0.84 (assume @p443 (forall @t344 (= @t525 @t536))) % 0.34/0.84 (assume @p444 (forall (@list @t265 @t58 @t34 @t204) (or (not (= @t537 @t500)) (= @t265 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t34 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t265 @t58 @t34 @t204) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t204 @t533)))) % 0.34/0.84 (assume @p445 (forall @t342 (= @t34 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t34) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t34) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (assume @p446 (forall @t539 (or @t538 @t534))) % 0.34/0.84 (assume @p447 (forall @t344 (= @t536 @t525))) % 0.34/0.84 (assume @p448 (forall (@list @t455 @t28 @t95 @t252 @t1) (or (= (tptp.c_List_Ofoldl @t455 (tptp.hAPP @t540 @t95) @t252 @t1 @t1) (tptp.hAPP @t540 (tptp.c_List_Ofoldl @t455 @t95 @t252 @t1 @t1))) @t488))) % 0.34/0.84 (assume @p449 (forall (@list @t234 @t11 @t232 @t1) (= (tptp.c_List_Ofoldl @t234 @t11 @t275 @t1 @t232) @t11))) % 0.34/0.84 (assume @p450 (forall (@list @t1 @t28 @t95 @t252) (or @t501 (= (tptp.c_List_Ofoldl @t71 @t98 @t252 @t1 @t1) (tptp.hAPP @t97 (tptp.c_List_Ofoldl @t71 @t95 @t252 @t1 @t1)))))) % 0.34/0.84 (assume @p451 (forall (@list @t455 @t28 @t456 @t252 @t1) (or (= (tptp.hAPP @t540 (tptp.c_List_Ofoldl @t455 @t456 @t252 @t1 @t1)) (tptp.c_List_Ofoldl @t455 @t28 @t252 @t1 @t1)) @t457))) % 0.34/0.84 (assume @p452 (forall (@list @t234 @t11 @t28 @t233 @t232 @t1) (= (tptp.c_List_Ofoldl @t234 @t11 @t237 @t1 @t232) (tptp.c_List_Ofoldl @t234 (tptp.hAPP (tptp.hAPP @t234 @t11) @t28) @t233 @t1 @t232)))) % 0.34/0.84 (assume @p453 (forall (@list @t234 @t11 @t233 @t249 @t232 @t1) (= (tptp.c_List_Ofoldl @t234 @t11 @t363 @t1 @t232) (tptp.c_List_Ofoldl @t234 (tptp.c_List_Ofoldl @t234 @t11 @t233 @t1 @t232) @t249 @t1 @t232)))) % 0.34/0.84 (assume @p454 (forall (@list @t34 @t204 @t33 @t32) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t500) @t33) @t32) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 @t207 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (assume @p455 (forall @t212 (or (tptp.hBOOL (tptp.hAPP @t208 @t214)) @t213 @t211))) % 0.34/0.84 (assume @p456 (forall (@list @t39 @t204 @t31 @t32) (or (tptp.c_Type_Otypings @t39 @t204 (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t31 @t39 @t32 @t204)) @t542))) % 0.34/0.84 (assume @p457 (forall @t212 (or @t211 (tptp.hBOOL (tptp.hAPP @t208 @t210)) @t209))) % 0.34/0.84 (assume @p458 (forall (@list @t39 @t310 @t31 @t38 @t32 @t204 @t203) (or (tptp.c_Type_Otypings @t39 @t310 (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t31 @t38 @t39 @t310)) @t543 @t205 (not (tptp.c_Type_Otyping @t39 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t541 @t310 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t31))))) % 0.34/0.84 (assume @p459 (forall (@list @t532 @t7 @t544) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t532 @t548 tptp.tc_Lambda_OdB) @t547))) % 0.34/0.84 (assume @p460 (forall @t231 (or @t460 @t444 @t443 @t222))) % 0.34/0.84 (assume @p461 (forall @t375 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t374) @t372)) @t350))) % 0.34/0.84 (assume @p462 (forall (@list @t34 @t66 @t58) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t519) @t58) @t66) @t34))) % 0.34/0.84 (assume @p463 (forall @t231 (or @t345 @t444 @t443 @t222))) % 0.34/0.84 (assume @p464 (forall (@list @t481 @t549) (not (= @t482 @t550)))) % 0.34/0.84 (assume @p465 (forall (@list @t208 @t322 @t321 @t318 @t551) (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 (tptp.c_Lambda_OdB_OVar @t551) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t208 (tptp.hAPP @t322 @t551)))))) % 0.34/0.84 (assume @p466 (forall (@list @t208 @t322 @t321 @t318 @t549) (or (not (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t550 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t208 @t552))))) % 0.34/0.84 (assume @p467 (forall (@list @t32 @t34) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t68) @t34))))) % 0.34/0.84 (assume @p468 (forall @t553 (= (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t550 @t1) @t552))) % 0.34/0.84 (assume @p469 (forall (@list @t549 @t481) (not (= @t550 @t482)))) % 0.34/0.84 (assume @p470 (forall (@list @t39 @t32 @t31) (or (= (tptp.hAPP @t39 @t32) @t31) (not (tptp.c_Type_Otyping @t39 @t68 @t31))))) % 0.34/0.84 (assume @p471 (forall @t553 (= (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t550 @t1) @t552))) % 0.34/0.84 (assume @p472 (forall (@list @t554 @t28) (tptp.c_Type_Otyping @t554 @t445 (tptp.hAPP @t554 @t28)))) % 0.34/0.84 (assume @p473 (forall (@list @t34 @t32) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t42)) @t340))) % 0.34/0.84 (assume @p474 (forall @t344 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t525)) @t555))) % 0.34/0.84 (assume @p475 (forall @t453 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t556) (tptp.hAPP @t371 @t24))))) % 0.34/0.84 (assume @p476 (forall (@list @t544 @t7 @t532) (or (= @t544 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t545 @t548 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t547))) % 0.34/0.84 (assume @p477 (forall @t9 (or @t182 @t464 @t463 @t26 @t557 @t467))) % 0.34/0.84 (assume @p478 (forall @t9 (or @t192 @t26 @t557 @t467))) % 0.34/0.84 (assume @p479 (forall @t27 (or @t182 @t464 @t463 @t26 (not (= @t25 @t4))))) % 0.34/0.84 (assume @p480 (forall @t111 (or @t181 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t24 @t1) @t4)))) % 0.34/0.84 (assume @p481 (forall (@list @t1 @t28 @t252) (or @t257 (= (tptp.hAPP @t97 (tptp.c_List_Ofoldl @t71 @t4 @t252 @t1 @t1)) (tptp.c_List_Ofoldl @t71 @t28 @t252 @t1 @t1))))) % 0.34/0.84 (assume @p482 (forall (@list @t34 @t58) (= (tptp.c_Lambda_Osubstn @t34 @t58 @t24) (tptp.hAPP @t61 @t24)))) % 0.34/0.84 (assume @p483 (forall @t558 (= (tptp.c_Nat_Osize__class_Osize @t550 tptp.tc_Lambda_OdB) @t24))) % 0.34/0.84 (assume @p484 (forall @t558 (= (tptp.c_Lambda_OdB_OdB__size @t550) @t24))) % 0.34/0.84 (assume @p485 (forall (@list @t265 @t58) (= @t537 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t537 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (assume @p486 (forall (@list @t265 @t58 @t34) (or (not (= @t537 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t34 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t537 @t34)))) % 0.34/0.84 (assume @p487 (forall @t539 (or @t538 (= @t58 @t525)))) % 0.34/0.84 (assume @p488 (forall @t561 (or @t560 @t559))) % 0.34/0.84 (assume @p489 (forall @t561 (or @t560 @t562))) % 0.34/0.84 (assume @p490 (forall @t531 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t530) @t529)) @t350))) % 0.34/0.84 (assume @p491 (forall @t528 (or @t535 (= @t525 @t58)))) % 0.34/0.84 (assume @p492 (forall (@list @t57 @t33 @t32) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t563) @t33) @t32) @t563) @t144))) % 0.34/0.84 (assume @p493 (forall @t476 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t68) @t58) @t66) @t68) @t475 @t474))) % 0.34/0.84 (assume @p494 (forall @t447 (or @t446 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t445) @t58) @t28) @t58)))) % 0.34/0.84 (assume @p495 (forall (@list @t31 @t38 @t39 @t32 @t204) (or (= @t31 @t38) @t543 @t542))) % 0.34/0.84 (assume @p496 (forall (@list @t7 @t204 @t265 @t524) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t545 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t525 @t524 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.34/0.84 (assume @p497 (forall @t472 (= @t564 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t564 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.84 (assume @p498 (forall @t566 (or @t565 @t534))) % 0.34/0.84 (assume @p499 (forall (@list @t58 @t34 @t7 @t524) (not (= @t556 @t567)))) % 0.34/0.84 (assume @p500 (forall (@list @t7 @t532) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t546)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t532 tptp.tc_Lambda_OdB))))) % 0.34/0.84 (assume @p501 (forall @t528 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t526)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t58))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t527)))))) % 0.34/0.84 (assume @p502 (forall @t523 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t522) @t58) @t66) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t61 @t66)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t33) @t58) @t66))))) % 0.34/0.84 (assume @p503 (forall (@list @t549 @t568) (or (not (= @t550 (tptp.c_Lambda_OdB_OVar @t568))) (= @t549 @t568)))) % 0.34/0.84 (assume @p504 (forall @t570 (or @t569 @t20))) % 0.34/0.84 (assume @p505 (forall @t570 (or @t569 @t562))) % 0.34/0.84 (assume @p506 (forall (@list @t66 @t33) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t66)) @t33) @t66) @t33))) % 0.34/0.84 (assume @p507 (forall (@list @t265 @t32 @t57) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t373 @t68) @t57))) @t555))) % 0.34/0.84 (assume @p508 (forall @t575 (or @t574 (= @t515 @t571)))) % 0.34/0.84 (assume @p509 (forall @t575 (or @t574 (= @t514 @t572)))) % 0.34/0.84 (assume @p510 (forall @t566 (or @t565 (= @t564 @t58)))) % 0.34/0.84 (assume @p511 (forall (@list @t549 @t571 @t572) (not (= @t550 @t573)))) % 0.34/0.84 (assume @p512 (forall @t468 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t545)))) % 0.34/0.84 (assume @p513 (forall (@list @t265 @t204 @t58) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t265 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t58 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t559))) % 0.34/0.84 (assume @p514 (forall (@list @t571 @t572 @t549) (not (= @t573 @t550)))) % 0.34/0.84 (assume @p515 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t576))) % 0.34/0.84 (assume @p516 @t578) % 0.34/0.84 (assume @p517 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_s))) % 0.34/0.84 (assume @p518 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp tptp.v_s) @t577)))) % 0.34/0.84 (assume @p519 (not @t578)) % 0.34/0.84 (assume @p520 (forall @t582 (or (tptp.class_Orderings_Opreorder @t581) (not (tptp.class_Orderings_Opreorder @t579))))) % 0.34/0.84 (assume @p521 (forall @t582 (or (tptp.class_Orderings_Oorder @t581) (not (tptp.class_Orderings_Oorder @t579))))) % 0.34/0.84 (assume @p522 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.34/0.84 (assume @p523 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.34/0.84 (assume @p524 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.34/0.84 (assume @p525 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.34/0.84 (assume @p526 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.34/0.84 (assume @p527 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.34/0.84 (assume @p528 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.34/0.84 (assume @p529 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.34/0.84 (assume @p530 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.34/0.84 (assume @p531 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.34/0.84 (assume @p532 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.34/0.84 (assume @p533 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.34/0.84 (assume @p534 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.34/0.84 (assume @p535 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.34/0.84 (assume @p536 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.34/0.84 (assume @p537 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.34/0.84 (assume @p538 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.34/0.84 (assume @p539 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.34/0.84 (assume @p540 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.34/0.84 (assume @p541 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.34/0.84 (assume @p542 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.34/0.84 (assume @p543 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.34/0.84 (assume @p544 (tptp.class_Power_Opower tptp.tc_nat)) % 0.34/0.84 (assume @p545 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.34/0.84 (assume @p546 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.34/0.84 (assume @p547 (forall @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t485 @t28) @t28)))) % 0.34/0.84 (assume @p548 (forall (@list @t584 @t583 @t1) (or (= @t584 @t583) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t485 @t584) @t583)))))) % 0.34/0.84 (step @p549 false :rule chain_m_resolution :premises (@p519 @p516) :args (false (@list false) (@list @t578))) % 0.34/0.84 ) % 0.34/0.84 % SZS output end Proof % 0.34/0.84 % cvc5 exiting %------------------------------------------------------------------------------