%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 11:23:59 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.91s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.36 % Computer : n005.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.36 % CPULimit : 300 % 0.12/0.36 % WCLimit : 300 % 0.12/0.36 % DateTime : Sun Sep 6 00:10:20 UTC 2026 % 0.12/0.37 % CPUTime : % 0.30/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.91 % SZS status Unsatisfiable % 0.33/0.91 % SZS output start Proof % 0.33/0.95 ( % 0.33/0.95 (declare-sort $$unsorted 0) % 0.33/0.95 (declare-const tptp.tc_bool $$unsorted) % 0.33/0.95 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.v_r____ $$unsorted) % 0.33/0.95 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.v_a____ $$unsorted) % 0.33/0.95 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.v_ia______ $$unsorted) % 0.33/0.95 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.t_a $$unsorted) % 0.33/0.95 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.33/0.95 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.v_ea______ $$unsorted) % 0.33/0.95 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.33/0.95 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.33/0.95 (declare-const tptp.v_u____ $$unsorted) % 0.33/0.95 (declare-const tptp.v_i____ $$unsorted) % 0.33/0.95 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.33/0.95 (declare-const tptp.tc_nat $$unsorted) % 0.33/0.95 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.v_as____ $$unsorted) % 0.33/0.95 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__3__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.33/0.95 (declare-const tptp.v_T_H____ $$unsorted) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.v_ua______ $$unsorted) % 0.33/0.95 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.33/0.95 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.33/0.95 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.33/0.95 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.v_T____ $$unsorted) % 0.33/0.95 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.33/0.95 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.v_e____ $$unsorted) % 0.33/0.95 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.95 (define @t1 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t2 () (@var "V_s" $$unsorted)) % 0.33/0.95 (define @t3 () (tptp.c_List_Olist_OCons @t2 @t1 tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t4 () (@var "V_xa" $$unsorted)) % 0.33/0.95 (define @t5 () (@var "V_r" $$unsorted)) % 0.33/0.95 (define @t6 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t5) @t2)) % 0.33/0.95 (define @t7 () (@var "V_u" $$unsorted)) % 0.33/0.95 (define @t8 () (@var "V_ts" $$unsorted)) % 0.33/0.95 (define @t9 () (@var "V_t" $$unsorted)) % 0.33/0.95 (define @t10 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t11 () (@var "V_x" $$unsorted)) % 0.33/0.95 (define @t12 () (tptp.c_List_Oappend @t11 @t3 tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t13 () (@var "T_a" $$unsorted)) % 0.33/0.95 (define @t14 () (@var "V_xs" $$unsorted)) % 0.33/0.95 (define @t15 () (tptp.c_Wellfounded_Oaccp @t5 @t13)) % 0.33/0.95 (define @t16 () (tptp.c_List_Olistsp @t15 @t14 @t13)) % 0.33/0.95 (define @t17 () (tptp.c_ListOrder_Ostep1 @t5 @t13)) % 0.33/0.95 (define @t18 () (tptp.c_Wellfounded_Oaccp @t17 (tptp.tc_List_Olist @t13))) % 0.33/0.95 (define @t19 () (tptp.hBOOL (tptp.hAPP @t18 @t14))) % 0.33/0.95 (define @t20 () (@list @t5 @t13 @t14)) % 0.33/0.95 (define @t21 () (@var "V_n" $$unsorted)) % 0.33/0.95 (define @t22 () (tptp.c_List_Oreplicate @t21 @t11 @t13)) % 0.33/0.95 (define @t23 () (@list @t21 @t11 @t13)) % 0.33/0.95 (define @t24 () (@var "V_m" $$unsorted)) % 0.33/0.95 (define @t25 () (tptp.c_HOL_Oord__class_Oless @t24 @t21 tptp.tc_nat)) % 0.33/0.95 (define @t26 () (@var "V_l" $$unsorted)) % 0.33/0.95 (define @t27 () (@var "V_k" $$unsorted)) % 0.33/0.95 (define @t28 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t26 tptp.tc_nat))) % 0.33/0.95 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.33/0.95 (define @t30 () (tptp.hAPP @t29 @t27)) % 0.33/0.95 (define @t31 () (tptp.hAPP @t30 @t21)) % 0.33/0.95 (define @t32 () (tptp.hAPP @t29 @t24)) % 0.33/0.95 (define @t33 () (@var "V_j" $$unsorted)) % 0.33/0.95 (define @t34 () (@var "V_i" $$unsorted)) % 0.33/0.95 (define @t35 () (not (tptp.c_HOL_Oord__class_Oless @t34 @t33 tptp.tc_nat))) % 0.33/0.95 (define @t36 () (tptp.hAPP @t29 @t33)) % 0.33/0.95 (define @t37 () (tptp.hAPP @t29 @t34)) % 0.33/0.95 (define @t38 () (tptp.hAPP @t37 @t33)) % 0.33/0.95 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t34 @t27 tptp.tc_nat)) % 0.33/0.95 (define @t40 () (@list @t34 @t27 @t33)) % 0.33/0.95 (define @t41 () (@var "V_z" $$unsorted)) % 0.33/0.95 (define @t42 () (@var "V_y" $$unsorted)) % 0.33/0.95 (define @t43 () (tptp.hAPP @t29 @t42)) % 0.33/0.95 (define @t44 () (tptp.hAPP @t43 @t41)) % 0.33/0.95 (define @t45 () (tptp.c_HOL_Oord__class_Oless @t11 @t44 tptp.tc_nat)) % 0.33/0.95 (define @t46 () (@list @t11 @t42 @t41)) % 0.33/0.95 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t11 @t42 tptp.tc_nat)) % 0.33/0.95 (define @t48 () (not @t47)) % 0.33/0.95 (define @t49 () (@var "V_f" $$unsorted)) % 0.33/0.95 (define @t50 () (tptp.hAPP @t49 @t11)) % 0.33/0.95 (define @t51 () (@var "T_b" $$unsorted)) % 0.33/0.95 (define @t52 () (tptp.c_List_Orev @t14 @t13)) % 0.33/0.95 (define @t53 () (tptp.c_List_Orev @t52 @t13)) % 0.33/0.95 (define @t54 () (@list @t14 @t13)) % 0.33/0.95 (define @t55 () (@var "V_ys" $$unsorted)) % 0.33/0.95 (define @t56 () (tptp.c_List_Orev @t55 @t13)) % 0.33/0.95 (define @t57 () (@list @t55 @t13)) % 0.33/0.95 (define @t58 () (tptp.c_List_Olist_ONil @t13)) % 0.33/0.95 (define @t59 () (= @t14 @t58)) % 0.33/0.95 (define @t60 () (= @t24 @t21)) % 0.33/0.95 (define @t61 () (tptp.c_List_Oreplicate @t24 @t11 @t13)) % 0.33/0.95 (define @t62 () (not (= @t61 (tptp.c_List_Oreplicate @t21 @t42 @t13)))) % 0.33/0.95 (define @t63 () (@list @t24 @t11 @t13 @t21 @t42)) % 0.33/0.95 (define @t64 () (@var "V_A" $$unsorted)) % 0.33/0.95 (define @t65 () (tptp.c_List_Omap @t49 @t14 @t51 @t13)) % 0.33/0.95 (define @t66 () (@list @t49 @t14 @t51 @t13)) % 0.33/0.95 (define @t67 () (tptp.c_List_Oappend @t14 @t55 @t13)) % 0.33/0.95 (define @t68 () (tptp.c_List_Olistsp @t64 @t67 @t13)) % 0.33/0.95 (define @t69 () (not @t68)) % 0.33/0.95 (define @t70 () (tptp.c_List_Olistsp @t64 @t55 @t13)) % 0.33/0.95 (define @t71 () (tptp.c_List_Olistsp @t64 @t14 @t13)) % 0.33/0.95 (define @t72 () (@list @t13)) % 0.33/0.95 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t11 @t42 @t13)) % 0.33/0.95 (define @t74 () (not @t73)) % 0.33/0.95 (define @t75 () (not (tptp.class_Orderings_Opreorder @t13))) % 0.33/0.95 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t42 @t11 @t13)) % 0.33/0.95 (define @t77 () (not @t76)) % 0.33/0.95 (define @t78 () (not (tptp.class_Orderings_Oorder @t13))) % 0.33/0.95 (define @t79 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.33/0.95 (define @t80 () (= @t21 @t79)) % 0.33/0.95 (define @t81 () (tptp.c_List_Orev @t58 @t13)) % 0.33/0.95 (define @t82 () (@list @t14 @t55 @t13)) % 0.33/0.95 (define @t83 () (@var "V_inc" $$unsorted)) % 0.33/0.95 (define @t84 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t13))) % 0.33/0.95 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t79 @t21 tptp.tc_nat)) % 0.33/0.95 (define @t86 () (@list @t21)) % 0.33/0.95 (define @t87 () (@list @t24)) % 0.33/0.95 (define @t88 () (tptp.c_List_Oreplicate @t79 @t11 @t13)) % 0.33/0.95 (define @t89 () (= @t24 @t79)) % 0.33/0.95 (define @t90 () (= @t11 @t42)) % 0.33/0.95 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t27 @t34 tptp.tc_nat)) % 0.33/0.95 (define @t92 () (= @t34 @t27)) % 0.33/0.95 (define @t93 () (tptp.c_Lambda_OdB_OVar @t34)) % 0.33/0.95 (define @t94 () (@list @t34 @t2 @t27)) % 0.33/0.95 (define @t95 () (tptp.c_HOL_Oone__class_Oone @t13)) % 0.33/0.95 (define @t96 () (tptp.c_HOL_Oplus__class_Oplus @t13)) % 0.33/0.95 (define @t97 () (tptp.c_HOL_Ozero__class_Ozero @t13)) % 0.33/0.95 (define @t98 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t13))) % 0.33/0.95 (define @t99 () (tptp.c_List_Olist_OCons @t11 @t14 @t13)) % 0.33/0.95 (define @t100 () (@list @t11 @t14 @t13)) % 0.33/0.95 (define @t101 () (= @t8 @t1)) % 0.33/0.95 (define @t102 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t5 @t2 @t9 @t8)) % 0.33/0.95 (define @t103 () (not (= @t6 @t10))) % 0.33/0.95 (define @t104 () (@list @t5 @t2 @t9 @t8)) % 0.33/0.95 (define @t105 () (not @t19)) % 0.33/0.95 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t11 @t11 tptp.tc_nat)) % 0.33/0.95 (define @t107 () (@list @t11)) % 0.33/0.95 (define @t108 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t11 @t13))) % 0.33/0.95 (define @t109 () (@list @t13 @t11)) % 0.33/0.95 (define @t110 () (not (tptp.class_Orderings_Olinorder @t13))) % 0.33/0.95 (define @t111 () (not (tptp.class_Ring__and__Field_Oordered__idom @t13))) % 0.33/0.95 (define @t112 () (@list @t13 @t42 @t11)) % 0.33/0.95 (define @t113 () (@list @t13 @t11 @t42)) % 0.33/0.95 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t21 @t24 tptp.tc_nat)) % 0.33/0.95 (define @t115 () (@list @t21 @t24)) % 0.33/0.95 (define @t116 () (@var "V_P" $$unsorted)) % 0.33/0.95 (define @t117 () (tptp.hAPP @t116 @t21)) % 0.33/0.95 (define @t118 () (tptp.c_List_Oreplicate @t27 @t11 @t13)) % 0.33/0.95 (define @t119 () (@var "V_b" $$unsorted)) % 0.33/0.95 (define @t120 () (@var "V_a" $$unsorted)) % 0.33/0.95 (define @t121 () (tptp.c_HOL_Oord__class_Oless @t120 @t119 @t13)) % 0.33/0.95 (define @t122 () (not @t121)) % 0.33/0.95 (define @t123 () (@var "V_d" $$unsorted)) % 0.33/0.95 (define @t124 () (@var "V_c" $$unsorted)) % 0.33/0.95 (define @t125 () (tptp.hAPP @t96 @t119)) % 0.33/0.95 (define @t126 () (tptp.hAPP @t125 @t123)) % 0.33/0.95 (define @t127 () (tptp.hAPP @t96 @t120)) % 0.33/0.95 (define @t128 () (tptp.hAPP @t127 @t124)) % 0.33/0.95 (define @t129 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t13))) % 0.33/0.95 (define @t130 () (tptp.hAPP @t37 @t27)) % 0.33/0.95 (define @t131 () (not @t25)) % 0.33/0.95 (define @t132 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t21 @t13)) % 0.33/0.95 (define @t133 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t24 @t13)) % 0.33/0.95 (define @t134 () (tptp.c_HOL_Oord__class_Oless @t133 @t132 @t13)) % 0.33/0.95 (define @t135 () (@list @t13 @t24 @t21)) % 0.33/0.95 (define @t136 () (= @t14 @t55)) % 0.33/0.95 (define @t137 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t34 tptp.tc_nat))) % 0.33/0.95 (define @t138 () (@var "V_e" $$unsorted)) % 0.33/0.95 (define @t139 () (@var "V_T" $$unsorted)) % 0.33/0.95 (define @t140 () (tptp.hBOOL (tptp.hAPP @t116 @t79))) % 0.33/0.95 (define @t141 () (not (tptp.hBOOL @t117))) % 0.33/0.95 (define @t142 () (tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1 @t116 @t21)) % 0.33/0.95 (define @t143 () (@list @t116 @t21)) % 0.33/0.95 (define @t144 () (not (tptp.c_HOL_Oord__class_Oless @t95 @t119 @t13))) % 0.33/0.95 (define @t145 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t119 @t11 @t13) (tptp.c_Power_Opower__class_Opower @t119 @t42 @t13) @t13)) % 0.33/0.95 (define @t146 () (@var "V_N" $$unsorted)) % 0.33/0.95 (define @t147 () (not (tptp.c_HOL_Oord__class_Oless @t21 @t146 tptp.tc_nat))) % 0.33/0.95 (define @t148 () (not (tptp.c_HOL_Oord__class_Oless @t95 @t120 @t13))) % 0.33/0.95 (define @t149 () (tptp.c_Power_Opower__class_Opower @t120 @t146 @t13)) % 0.33/0.95 (define @t150 () (tptp.c_Power_Opower__class_Opower @t120 @t21 @t13)) % 0.33/0.95 (define @t151 () (tptp.c_Power_Opower__class_Opower @t120 @t24 @t13)) % 0.33/0.95 (define @t152 () (@var "V_type2_H" $$unsorted)) % 0.33/0.95 (define @t153 () (@var "V_type2" $$unsorted)) % 0.33/0.95 (define @t154 () (@var "V_type1_H" $$unsorted)) % 0.33/0.95 (define @t155 () (@var "V_type1" $$unsorted)) % 0.33/0.95 (define @t156 () (not (= (tptp.c_Type_Otype_OFun @t155 @t153) (tptp.c_Type_Otype_OFun @t154 @t152)))) % 0.33/0.95 (define @t157 () (@list @t155 @t153 @t154 @t152)) % 0.33/0.95 (define @t158 () (tptp.hAPP @t125 @t124)) % 0.33/0.95 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t128 @t158 @t13)) % 0.33/0.95 (define @t160 () (@list @t13 @t120 @t124 @t119)) % 0.33/0.95 (define @t161 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t13))) % 0.33/0.95 (define @t162 () (@list @t13 @t120 @t119 @t124)) % 0.33/0.95 (define @t163 () (tptp.hAPP @t96 @t124)) % 0.33/0.95 (define @t164 () (tptp.hAPP @t163 @t120)) % 0.33/0.95 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t164 (tptp.hAPP @t163 @t119) @t13)) % 0.33/0.95 (define @t166 () (@list @t13 @t124 @t120 @t119)) % 0.33/0.95 (define @t167 () (tptp.hAPP @t30 @t24)) % 0.33/0.95 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t167 @t31 tptp.tc_nat)) % 0.33/0.95 (define @t169 () (@list @t24 @t21 @t27)) % 0.33/0.95 (define @t170 () (@list @t27 @t24 @t21)) % 0.33/0.95 (define @t171 () (not (tptp.c_HOL_Oord__class_Oless @t119 @t120 @t13))) % 0.33/0.95 (define @t172 () (@list @t13 @t120 @t119)) % 0.33/0.95 (define @t173 () (not @t85)) % 0.33/0.95 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t97 @t132 @t13)) % 0.33/0.95 (define @t175 () (@list @t13 @t21)) % 0.33/0.95 (define @t176 () (tptp.c_HOL_Oord__class_Oless @t97 @t120 @t13)) % 0.33/0.95 (define @t177 () (not @t176)) % 0.33/0.95 (define @t178 () (@list @t13 @t120 @t21)) % 0.33/0.95 (define @t179 () (tptp.c_List_Olast @t14 @t13)) % 0.33/0.95 (define @t180 () (tptp.c_List_Obutlast @t14 @t13)) % 0.33/0.95 (define @t181 () (tptp.hAPP @t127 @t120)) % 0.33/0.95 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t97 @t181 @t13)) % 0.33/0.95 (define @t183 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t13))) % 0.33/0.95 (define @t184 () (@list @t13 @t120)) % 0.33/0.95 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t120 @t97 @t13)) % 0.33/0.95 (define @t186 () (not @t185)) % 0.33/0.95 (define @t187 () (tptp.hAPP @t127 @t119)) % 0.33/0.95 (define @t188 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t13))) % 0.33/0.95 (define @t189 () (tptp.c_HOL_Oord__class_Oless @t181 @t97 @t13)) % 0.33/0.95 (define @t190 () (not @t189)) % 0.33/0.95 (define @t191 () (@list @t13 @t119 @t120 @t124)) % 0.33/0.95 (define @t192 () (@list @t11 @t13)) % 0.33/0.95 (define @t193 () (tptp.c_List_Olist_OCons @t11 @t58 @t13)) % 0.33/0.95 (define @t194 () (tptp.c_List_Orev @t193 @t13)) % 0.33/0.95 (define @t195 () (= @t14 @t193)) % 0.33/0.95 (define @t196 () (tptp.c_HOL_Oord__class_Oless @t79 @t24 tptp.tc_nat)) % 0.33/0.95 (define @t197 () (tptp.hAPP @t32 @t21)) % 0.33/0.95 (define @t198 () (tptp.c_HOL_Oord__class_Oless @t79 @t197 tptp.tc_nat)) % 0.33/0.95 (define @t199 () (@list @t24 @t21)) % 0.33/0.95 (define @t200 () (@var "V_zs" $$unsorted)) % 0.33/0.95 (define @t201 () (= @t200 @t99)) % 0.33/0.95 (define @t202 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t11 @t14 @t55 @t200 @t13)) % 0.33/0.95 (define @t203 () (= (tptp.c_List_Oappend @t202 @t200 @t13) @t14)) % 0.33/0.95 (define @t204 () (tptp.c_List_Oappend @t55 @t200 @t13)) % 0.33/0.95 (define @t205 () (not (= @t204 @t99))) % 0.33/0.95 (define @t206 () (@list @t55 @t200 @t13 @t11 @t14)) % 0.33/0.95 (define @t207 () (= @t99 @t200)) % 0.33/0.95 (define @t208 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t11 @t14 @t55 @t200 @t13)) % 0.33/0.95 (define @t209 () (= (tptp.c_List_Olist_OCons @t11 @t208 @t13) @t55)) % 0.33/0.95 (define @t210 () (not (= @t99 @t204))) % 0.33/0.95 (define @t211 () (@list @t11 @t14 @t13 @t55 @t200)) % 0.33/0.95 (define @t212 () (= @t55 (tptp.c_List_Olist_OCons @t11 @t202 @t13))) % 0.33/0.95 (define @t213 () (= @t14 (tptp.c_List_Oappend @t208 @t200 @t13))) % 0.33/0.95 (define @t214 () (tptp.c_List_Oappend @t14 @t58 @t13)) % 0.33/0.95 (define @t215 () (= @t55 @t58)) % 0.33/0.95 (define @t216 () (tptp.hAPP @t29 @t21)) % 0.33/0.95 (define @t217 () (tptp.hAPP @t216 @t24)) % 0.33/0.95 (define @t218 () (@var "V_U" $$unsorted)) % 0.33/0.95 (define @t219 () (tptp.c_Type_Otype_OFun @t139 @t218)) % 0.33/0.95 (define @t220 () (@var "V_env" $$unsorted)) % 0.33/0.95 (define @t221 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t2)) % 0.33/0.95 (define @t222 () (tptp.hAPP @t221 @t9)) % 0.33/0.95 (define @t223 () (tptp.c_Lambda_OdB_OVar @t11)) % 0.33/0.95 (define @t224 () (@list @t11 @t2)) % 0.33/0.95 (define @t225 () (tptp.c_Lambda_OdB_OVar @t33)) % 0.33/0.95 (define @t226 () (not @t39)) % 0.33/0.95 (define @t227 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t93) @t27)) % 0.33/0.95 (define @t228 () (@list @t34 @t27)) % 0.33/0.95 (define @t229 () (tptp.c_Lambda_Oliftn @t21 @t93 @t27)) % 0.33/0.95 (define @t230 () (@list @t21 @t34 @t27)) % 0.33/0.95 (define @t231 () (tptp.c_List_Oappend @t14 @t193 @t13)) % 0.33/0.95 (define @t232 () (@list @t14 @t11 @t13)) % 0.33/0.95 (define @t233 () (tptp.c_List_Olist_OCons @t42 @t58 @t13)) % 0.33/0.95 (define @t234 () (tptp.c_List_Oappend @t56 @t233 @t13)) % 0.33/0.95 (define @t235 () (tptp.c_List_Olist_OCons @t42 @t55 @t13)) % 0.33/0.95 (define @t236 () (tptp.c_List_Olist_ONil @t51)) % 0.33/0.95 (define @t237 () (tptp.c_List_Olist_OCons @t11 @t14 @t51)) % 0.33/0.95 (define @t238 () (tptp.c_List_Oreplicate @t34 @t11 @t13)) % 0.33/0.95 (define @t239 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.33/0.95 (define @t240 () (@var "V_rs" $$unsorted)) % 0.33/0.95 (define @t241 () (tptp.c_Lambda_OdB_OVar @t21)) % 0.33/0.95 (define @t242 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t241 @t240 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t243 () (tptp.hAPP @t36 @t239)) % 0.33/0.95 (define @t244 () (tptp.hAPP tptp.c_Lambda_Olift @t2)) % 0.33/0.95 (define @t245 () (tptp.hAPP @t244 @t34)) % 0.33/0.95 (define @t246 () (tptp.hAPP tptp.c_Lambda_Olift @t9)) % 0.33/0.95 (define @t247 () (tptp.hAPP @t246 @t34)) % 0.33/0.95 (define @t248 () (tptp.hAPP tptp.c_Lambda_Osubst @t9)) % 0.33/0.95 (define @t249 () (tptp.hAPP @t248 @t2)) % 0.33/0.95 (define @t250 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t249 @t33)) @t34)) % 0.33/0.95 (define @t251 () (@list @t9 @t2 @t33 @t34)) % 0.33/0.95 (define @t252 () (tptp.hAPP @t37 @t239)) % 0.33/0.95 (define @t253 () (tptp.c_Lambda_OdB_OAbs @t9)) % 0.33/0.95 (define @t254 () (@var "V_Ts" $$unsorted)) % 0.33/0.95 (define @t255 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t34 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t256 () (tptp.c_Type_Oshift @t138 @t34 @t218 tptp.tc_Type_Otype)) % 0.33/0.95 (define @t257 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t9)))) % 0.33/0.95 (define @t258 () (@var "V_Ta" $$unsorted)) % 0.33/0.95 (define @t259 () (@var "V_T2" $$unsorted)) % 0.33/0.95 (define @t260 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t7)))) % 0.33/0.95 (define @t261 () (tptp.hAPP (tptp.hAPP @t248 @t7) @t34)) % 0.33/0.95 (define @t262 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t261))) % 0.33/0.95 (define @t263 () (@var "V_T1" $$unsorted)) % 0.33/0.95 (define @t264 () (not (= tptp.v_T____ (tptp.c_Type_Otype_OFun @t263 @t259)))) % 0.33/0.95 (define @t265 () (@list @t263 @t259 @t9 @t7 @t34 @t138 @t258)) % 0.33/0.95 (define @t266 () (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t5 @t240 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.33/0.95 (define @t267 () (not (tptp.hBOOL (tptp.hAPP @t266 @t2)))) % 0.33/0.95 (define @t268 () (tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1 @t5 @t240 @t2)) % 0.33/0.95 (define @t269 () (= @t2 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t268 @t240 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.33/0.95 (define @t270 () (tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2 @t5 @t240 @t2)) % 0.33/0.95 (define @t271 () (= @t2 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t5 @t270 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.33/0.95 (define @t272 () (tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5 @t5 @t240 @t2)) % 0.33/0.95 (define @t273 () (tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4 @t5 @t240 @t2)) % 0.33/0.95 (define @t274 () (= @t240 (tptp.c_List_Olist_OCons @t273 @t272 tptp.tc_Lambda_OdB))) % 0.33/0.95 (define @t275 () (@list @t240 @t5 @t2)) % 0.33/0.95 (define @t276 () (tptp.hAPP tptp.c_Lambda_Obeta @t5)) % 0.33/0.95 (define @t277 () (tptp.hBOOL (tptp.hAPP @t276 @t268))) % 0.33/0.95 (define @t278 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t7 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t34 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t279 () (tptp.hAPP (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) @t240)) % 0.33/0.95 (define @t280 () (tptp.hBOOL (tptp.hAPP @t279 @t270))) % 0.33/0.95 (define @t281 () (@var "V_Q" $$unsorted)) % 0.33/0.95 (define @t282 () (@var "V_R" $$unsorted)) % 0.33/0.95 (define @t283 () (@var "T_c" $$unsorted)) % 0.33/0.95 (define @t284 () (tptp.c_List_Omap @t49 @t236 @t51 @t13)) % 0.33/0.95 (define @t285 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t5 @t13 @t13) @t13) @t11) @t42))) % 0.33/0.95 (define @t286 () (tptp.c_Transitive__Closure_Ortranclp @t5 @t13)) % 0.33/0.95 (define @t287 () (tptp.hAPP @t286 @t42)) % 0.33/0.95 (define @t288 () (tptp.hBOOL (tptp.hAPP @t287 @t11))) % 0.33/0.95 (define @t289 () (@list @t5 @t13 @t11 @t42)) % 0.33/0.95 (define @t290 () (tptp.c_List_Oappend @t55 @t233 @t13)) % 0.33/0.95 (define @t291 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t290) @t231)))) % 0.33/0.95 (define @t292 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t55) @t14))) % 0.33/0.95 (define @t293 () (tptp.hAPP @t5 @t42)) % 0.33/0.95 (define @t294 () (tptp.hBOOL (tptp.hAPP @t293 @t11))) % 0.33/0.95 (define @t295 () (@list @t5 @t42 @t11 @t13 @t55 @t14)) % 0.33/0.95 (define @t296 () (tptp.c_List_Olist_OCons @t11 (tptp.c_List_Oappend @t4 @t200 @t13) @t13)) % 0.33/0.95 (define @t297 () (tptp.c_List_Olist_OCons @t11 @t4 @t13)) % 0.33/0.95 (define @t298 () (tptp.c_List_Oappend @t297 @t200 @t13)) % 0.33/0.95 (define @t299 () (@var "V_xb" $$unsorted)) % 0.33/0.95 (define @t300 () (= @t42 @t41)) % 0.33/0.95 (define @t301 () (tptp.hAPP @t29 @t11)) % 0.33/0.95 (define @t302 () (tptp.hAPP @t301 @t41)) % 0.33/0.95 (define @t303 () (tptp.hAPP @t216 @t27)) % 0.33/0.95 (define @t304 () (tptp.hAPP @t96 @t11)) % 0.33/0.95 (define @t305 () (tptp.hAPP @t304 @t41)) % 0.33/0.95 (define @t306 () (tptp.hAPP @t304 @t42)) % 0.33/0.95 (define @t307 () (not (tptp.class_Int_Onumber__ring @t13))) % 0.33/0.95 (define @t308 () (not (tptp.class_Ring__and__Field_Oidom @t13))) % 0.33/0.95 (define @t309 () (@list @t13 @t11 @t42 @t41)) % 0.33/0.95 (define @t310 () (= @t119 @t124)) % 0.33/0.95 (define @t311 () (not (= @t187 @t128))) % 0.33/0.95 (define @t312 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t13))) % 0.33/0.95 (define @t313 () (tptp.hAPP @t125 @t120)) % 0.33/0.95 (define @t314 () (@var "V_xs1" $$unsorted)) % 0.33/0.95 (define @t315 () (@var "V_list_H" $$unsorted)) % 0.33/0.95 (define @t316 () (@var "V_a_H" $$unsorted)) % 0.33/0.95 (define @t317 () (tptp.c_List_Olist_OCons @t316 @t315 @t13)) % 0.33/0.95 (define @t318 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t235) @t99)))) % 0.33/0.95 (define @t319 () (tptp.hAPP @t96 @t128)) % 0.33/0.95 (define @t320 () (tptp.hAPP @t163 @t123)) % 0.33/0.95 (define @t321 () (tptp.hAPP @t96 @t187)) % 0.33/0.95 (define @t322 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t13))) % 0.33/0.95 (define @t323 () (@var "V_t_H" $$unsorted)) % 0.33/0.95 (define @t324 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t325 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t9) @t323)))) % 0.33/0.95 (define @t326 () (not (tptp.c_Type_Otyping @t138 @t9 @t139))) % 0.33/0.95 (define @t327 () (tptp.c_Type_Otyping @t138 @t323 @t139)) % 0.33/0.95 (define @t328 () (@list @t138 @t323 @t139 @t9)) % 0.33/0.95 (define @t329 () (tptp.c_List_Oappend @t58 @t99 @t13)) % 0.33/0.95 (define @t330 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t9)) % 0.33/0.95 (define @t331 () (@list @t9 @t34)) % 0.33/0.95 (define @t332 () (@var "V_e_H" $$unsorted)) % 0.33/0.95 (define @t333 () (= @t55 @t14)) % 0.33/0.95 (define @t334 () (tptp.c_List_Oappend @t58 @t58 @t13)) % 0.33/0.95 (define @t335 () (@var "V_plus" $$unsorted)) % 0.33/0.95 (define @t336 () (@var "V_zero" $$unsorted)) % 0.33/0.95 (define @t337 () (not (tptp.c_OrderedGroup_Omonoid__add @t336 @t335 @t13))) % 0.33/0.95 (define @t338 () (tptp.hAPP @t335 @t120)) % 0.33/0.95 (define @t339 () (tptp.c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3 @t5 @t240 @t2)) % 0.33/0.95 (define @t340 () (= @t2 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t339) @t273) @t79) @t272 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.33/0.95 (define @t341 () (@list @t2 @t5 @t240)) % 0.33/0.95 (define @t342 () (= @t120 @t97)) % 0.33/0.95 (define @t343 () (not (= @t150 @t97))) % 0.33/0.95 (define @t344 () (not (tptp.class_Power_Opower @t13))) % 0.33/0.95 (define @t345 () (not (tptp.class_Ring__and__Field_Omult__zero @t13))) % 0.33/0.95 (define @t346 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t13))) % 0.33/0.95 (define @t347 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t13))) % 0.33/0.95 (define @t348 () (tptp.hAPP @t96 @t97)) % 0.33/0.95 (define @t349 () (= (tptp.hAPP @t348 @t120) @t120)) % 0.33/0.95 (define @t350 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t13))) % 0.33/0.95 (define @t351 () (= (tptp.hAPP @t127 @t97) @t120)) % 0.33/0.95 (define @t352 () (not (tptp.class_OrderedGroup_Omonoid__add @t13))) % 0.33/0.95 (define @t353 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t13))) % 0.33/0.95 (define @t354 () (not (= @t197 @t79))) % 0.33/0.95 (define @t355 () (tptp.hAPP @t29 @t79)) % 0.33/0.95 (define @t356 () (@var "V_xc" $$unsorted)) % 0.33/0.95 (define @t357 () (@var "V_f2" $$unsorted)) % 0.33/0.95 (define @t358 () (@var "V_f3" $$unsorted)) % 0.33/0.95 (define @t359 () (@var "V_f1" $$unsorted)) % 0.33/0.95 (define @t360 () (@var "V_dB2" $$unsorted)) % 0.33/0.95 (define @t361 () (@var "V_dB1" $$unsorted)) % 0.33/0.95 (define @t362 () (tptp.hAPP (tptp.hAPP @t357 @t361) @t360)) % 0.33/0.95 (define @t363 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t361) @t360)) % 0.33/0.95 (define @t364 () (@var "V_dB2_H" $$unsorted)) % 0.33/0.95 (define @t365 () (@var "V_dB1_H" $$unsorted)) % 0.33/0.95 (define @t366 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t365) @t364)) % 0.33/0.95 (define @t367 () (@var "V_nat" $$unsorted)) % 0.33/0.95 (define @t368 () (tptp.c_Lambda_OdB_OVar @t367)) % 0.33/0.95 (define @t369 () (not (tptp.class_OrderedGroup_Omonoid__mult @t13))) % 0.33/0.95 (define @t370 () (tptp.hAPP @t359 @t367)) % 0.33/0.95 (define @t371 () (@list @t359 @t357 @t358 @t367 @t13)) % 0.33/0.95 (define @t372 () (tptp.hAPP @t96 @t42)) % 0.33/0.95 (define @t373 () (tptp.hAPP @t304 (tptp.hAPP @t372 @t41))) % 0.33/0.95 (define @t374 () (not (tptp.class_OrderedGroup_Oab__group__add @t13))) % 0.33/0.95 (define @t375 () (tptp.c_Predicate_Oconversep @t5 @t13 @t51)) % 0.33/0.95 (define @t376 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t375 @t120) @t119))) % 0.33/0.95 (define @t377 () (tptp.hAPP @t5 @t119)) % 0.33/0.95 (define @t378 () (tptp.hBOOL (tptp.hAPP @t377 @t120))) % 0.33/0.95 (define @t379 () (@var "V_a2" $$unsorted)) % 0.33/0.95 (define @t380 () (@var "V_a1" $$unsorted)) % 0.33/0.95 (define @t381 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t120) @t119)))) % 0.33/0.95 (define @t382 () (tptp.hAPP @t127 @t158)) % 0.33/0.95 (define @t383 () (tptp.hAPP @t321 @t124)) % 0.33/0.95 (define @t384 () (= @t383 @t382)) % 0.33/0.95 (define @t385 () (tptp.hAPP @t127 @t320)) % 0.33/0.95 (define @t386 () (@list @t13 @t120 @t124 @t123)) % 0.33/0.95 (define @t387 () (tptp.c_List_Oappend @t14 @t11 @t13)) % 0.33/0.95 (define @t388 () (not @t292)) % 0.33/0.95 (define @t389 () (@var "V_us" $$unsorted)) % 0.33/0.95 (define @t390 () (@var "V_vs" $$unsorted)) % 0.33/0.95 (define @t391 () (= @t55 @t200)) % 0.33/0.95 (define @t392 () (@list @t14 @t55 @t13 @t200)) % 0.33/0.95 (define @t393 () (tptp.hAPP @t286 @t120)) % 0.33/0.95 (define @t394 () (tptp.hAPP @t286 @t11)) % 0.33/0.95 (define @t395 () (tptp.hBOOL (tptp.hAPP @t15 @t120))) % 0.33/0.95 (define @t396 () (not @t395)) % 0.33/0.95 (define @t397 () (tptp.hAPP @t286 @t119)) % 0.33/0.95 (define @t398 () (not (tptp.hBOOL (tptp.hAPP @t397 @t120)))) % 0.33/0.95 (define @t399 () (tptp.hBOOL (tptp.hAPP @t15 @t119))) % 0.33/0.95 (define @t400 () (@list @t5 @t13 @t119 @t120)) % 0.33/0.95 (define @t401 () (tptp.hBOOL (tptp.hAPP @t394 @t42))) % 0.33/0.95 (define @t402 () (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t403 () (@list @t9)) % 0.33/0.95 (define @t404 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t5))) % 0.33/0.95 (define @t405 () (@list @t5)) % 0.33/0.95 (define @t406 () (tptp.c_List_Oappend @t58 @t55 @t13)) % 0.33/0.95 (define @t407 () (tptp.hAPP @t30 @t239)) % 0.33/0.95 (define @t408 () (@list @t9 @t2 @t27)) % 0.33/0.95 (define @t409 () (= @t42 @t11)) % 0.33/0.95 (define @t410 () (= @t14 @t236)) % 0.33/0.95 (define @t411 () (not (= @t58 @t67))) % 0.33/0.95 (define @t412 () (@list @t13 @t14 @t55)) % 0.33/0.95 (define @t413 () (not (= @t67 @t58))) % 0.33/0.95 (define @t414 () (tptp.c_fequal @t13)) % 0.33/0.95 (define @t415 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t5) @t2)))) % 0.33/0.95 (define @t416 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t5) @t34)) % 0.33/0.95 (define @t417 () (@list @t5 @t34 @t2)) % 0.33/0.95 (define @t418 () (@list @t5 @t13 @t55 @t14 @t42 @t11)) % 0.33/0.95 (define @t419 () (not (tptp.c_OrderedGroup_Osemigroup__add @t335 @t13))) % 0.33/0.95 (define @t420 () (tptp.c_Lambda_OdB_OAbs @t2)) % 0.33/0.95 (define @t421 () (tptp.c_List_Oappend @t14 @t55 @t51)) % 0.33/0.95 (define @t422 () (tptp.c_Power_Opower__class_Opower @t120 @t79 @t13)) % 0.33/0.95 (define @t423 () (not (tptp.class_OrderedGroup_Osemigroup__add @t13))) % 0.33/0.95 (define @t424 () (not @t404)) % 0.33/0.95 (define @t425 () (tptp.hAPP tptp.c_Lambda_Osubst @t5)) % 0.33/0.95 (define @t426 () (@var "V_list" $$unsorted)) % 0.33/0.95 (define @t427 () (not (= (tptp.c_List_Olist_OCons @t120 @t426 @t13) @t317))) % 0.33/0.95 (define @t428 () (@list @t120 @t426 @t13 @t316 @t315)) % 0.33/0.95 (define @t429 () (@var "V_xd" $$unsorted)) % 0.33/0.95 (define @t430 () (@var "V_nat_H" $$unsorted)) % 0.33/0.95 (define @t431 () (not (= @t231 @t290))) % 0.33/0.95 (define @t432 () (@list @t14 @t11 @t13 @t55 @t42)) % 0.33/0.95 (define @t433 () (@var "V_T_H" $$unsorted)) % 0.33/0.95 (define @t434 () (tptp.c_Type_Oshift @t138 @t34 tptp.v_T____ tptp.tc_Type_Otype)) % 0.33/0.95 (define @t435 () (not (tptp.c_Type_Otyping @t138 @t7 tptp.v_T____))) % 0.33/0.95 (define @t436 () (@list @t7 @t34 @t138 @t433)) % 0.33/0.95 (define @t437 () (tptp.hBOOL (tptp.hAPP @t393 @t124))) % 0.33/0.95 (define @t438 () (@list @t5 @t13 @t120 @t124 @t119)) % 0.33/0.95 (define @t439 () (tptp.hAPP @t246 @t27)) % 0.33/0.95 (define @t440 () (@list @t359 @t357 @t358 @t361 @t360 @t13)) % 0.33/0.95 (define @t441 () (tptp.hAPP @t330 @t7)) % 0.33/0.95 (define @t442 () (@list @t9 @t7 @t2 @t27)) % 0.33/0.95 (define @t443 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t222) @t7)))) % 0.33/0.95 (define @t444 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__3__1 @t2 @t9 @t7)) % 0.33/0.95 (define @t445 () (= @t2 (tptp.c_Lambda_OdB_OAbs @t444))) % 0.33/0.95 (define @t446 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__3__2 @t2 @t9 @t7)) % 0.33/0.95 (define @t447 () (tptp.hAPP tptp.c_Lambda_Obeta @t2)) % 0.33/0.95 (define @t448 () (tptp.hBOOL (tptp.hAPP @t447 @t446))) % 0.33/0.95 (define @t449 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__3__3 @t2 @t9 @t7)) % 0.33/0.95 (define @t450 () (= @t7 (tptp.hAPP @t221 @t449))) % 0.33/0.95 (define @t451 () (@list @t7 @t2 @t9)) % 0.33/0.95 (define @t452 () (= @t7 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t446) @t9))) % 0.33/0.95 (define @t453 () (tptp.hAPP tptp.c_Lambda_Obeta @t9)) % 0.33/0.95 (define @t454 () (tptp.hBOOL (tptp.hAPP @t453 @t449))) % 0.33/0.95 (define @t455 () (@list @t9 @t2 @t7)) % 0.33/0.95 (define @t456 () (not (tptp.hBOOL (tptp.hAPP @t276 @t2)))) % 0.33/0.95 (define @t457 () (@var "V_dB_H" $$unsorted)) % 0.33/0.95 (define @t458 () (tptp.c_Lambda_OdB_OAbs @t457)) % 0.33/0.95 (define @t459 () (@var "V_dB" $$unsorted)) % 0.33/0.95 (define @t460 () (tptp.hAPP @t358 @t459)) % 0.33/0.95 (define @t461 () (tptp.c_Lambda_OdB_OAbs @t459)) % 0.33/0.95 (define @t462 () (@list @t359 @t357 @t358 @t459 @t13)) % 0.33/0.95 (define @t463 () (tptp.c_Lambda_OdB_OAbs @t5)) % 0.33/0.95 (define @t464 () (= @t5 (tptp.c_Lambda_OdB_OAbs @t339))) % 0.33/0.95 (define @t465 () (@list @t5 @t240 @t2)) % 0.33/0.95 (define @t466 () (@var "V_v" $$unsorted)) % 0.33/0.95 (define @t467 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t242) @t466)))) % 0.33/0.95 (define @t468 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t21 @t240 @t466)) % 0.33/0.95 (define @t469 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t93 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t470 () (tptp.c_Lambda_OdB_OVar @t24)) % 0.33/0.95 (define @t471 () (@var "V_ss" $$unsorted)) % 0.33/0.95 (define @t472 () (= @t471 @t1)) % 0.33/0.95 (define @t473 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t2 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t474 () (not (= @t470 @t473))) % 0.33/0.95 (define @t475 () (@list @t24 @t2 @t471)) % 0.33/0.95 (define @t476 () (tptp.hAPP @t335 @t11)) % 0.33/0.95 (define @t477 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs tptp.v_r____)) tptp.v_a____)) % 0.33/0.95 (define @t478 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t477 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t479 () (= @t7 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t444) @t9) @t79))) % 0.33/0.95 (define @t480 () (= (tptp.c_Power_Opower__class_Opower @t97 @t21 @t13) @t97)) % 0.33/0.95 (define @t481 () (tptp.hAPP @t324 @t222)) % 0.33/0.95 (define @t482 () (@var "V_s_H" $$unsorted)) % 0.33/0.95 (define @t483 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t2) @t482)))) % 0.33/0.95 (define @t484 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t482)) % 0.33/0.95 (define @t485 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t463) @t2)))) % 0.33/0.95 (define @t486 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t5 @t2)) % 0.33/0.95 (define @t487 () (@list @t5 @t2)) % 0.33/0.95 (define @t488 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t241 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t489 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t470 @t240 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t488))) % 0.33/0.95 (define @t490 () (@list @t24 @t240 @t21 @t471)) % 0.33/0.95 (define @t491 () (= @t240 @t471)) % 0.33/0.95 (define @t492 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t248 @t5) @t34)) (tptp.hAPP @t249 @t34)))) % 0.33/0.95 (define @t493 () (@list @t9 @t5 @t34 @t2)) % 0.33/0.95 (define @t494 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t2) @t9)) % 0.33/0.95 (define @t495 () (tptp.hAPP @t494 @t34)) % 0.33/0.95 (define @t496 () (tptp.hAPP (tptp.hAPP @t425 @t9) @t34)) % 0.33/0.95 (define @t497 () (@list @t5 @t9 @t34 @t2)) % 0.33/0.95 (define @t498 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_r____) tptp.v_a____) @t79)) % 0.33/0.95 (define @t499 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t498 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t500 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t463) @t2) @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t501 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t425 @t2) @t79) @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t502 () (@list @t5 @t2 @t471)) % 0.33/0.95 (define @t503 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t5 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t504 () (@list @t5 @t471 @t2)) % 0.33/0.95 (define @t505 () (not (= @t463 @t473))) % 0.33/0.95 (define @t506 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t463 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.33/0.95 (define @t507 () (not (= @t473 @t463))) % 0.33/0.95 (define @t508 () (@list @t2 @t471 @t5)) % 0.33/0.95 (define @t509 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t420) @t9)) % 0.33/0.95 (define @t510 () (= @t5 @t2)) % 0.33/0.95 (define @t511 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t463 @t240 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t420 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (define @t512 () (@list @t5 @t240 @t2 @t471)) % 0.33/0.95 (define @t513 () (not (= @t363 @t366))) % 0.33/0.95 (define @t514 () (@list @t361 @t360 @t365 @t364)) % 0.33/0.95 (define @t515 () (@list @t2 @t9)) % 0.33/0.95 (define @t516 () (not (tptp.hBOOL (tptp.hAPP @t447 @t9)))) % 0.33/0.95 (define @t517 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t7)) % 0.33/0.95 (define @t518 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t478) @t499))) % 0.33/0.95 (define @t519 () (@var "T_1" $$unsorted)) % 0.33/0.95 (define @t520 () (@var "T_2" $$unsorted)) % 0.33/0.95 (define @t521 () (tptp.tc_fun @t520 @t519)) % 0.33/0.95 (define @t522 () (@list @t520 @t519)) % 0.33/0.95 (define @t523 () (@var "V_Y" $$unsorted)) % 0.33/0.95 (define @t524 () (@var "V_X" $$unsorted)) % 0.33/0.95 (define @t525 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t477) @t498))) % 0.33/0.95 (define @t526 () (not @t525)) % 0.33/0.95 (define @t527 () (or @t518 @t526)) % 0.33/0.95 (assume @p1 (forall (@list @t5 @t2 @t4) (or (not (= @t5 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t6 @t4 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t6 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t6 (tptp.c_List_Oappend @t4 @t3 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.33/0.95 (assume @p2 (forall (@list @t9 @t8 @t7) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t10) @t7) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 (tptp.c_List_Oappend @t8 (tptp.c_List_Olist_OCons @t7 @t1 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (assume @p3 (forall (@list @t11 @t2 @t9) (or (= @t12 @t1) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t11 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t2) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t12 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.33/0.95 (assume @p4 (forall @t20 (or @t19 (not @t16)))) % 0.33/0.95 (assume @p5 (forall @t23 (= (tptp.c_List_Orev @t22 @t13) @t22))) % 0.33/0.95 (assume @p6 (forall (@list @t24 @t26 @t27 @t21) (or (not (= (tptp.hAPP @t32 @t26) @t31)) @t28 @t25))) % 0.33/0.95 (assume @p7 (forall (@list @t34 @t24 @t33) (or (tptp.c_HOL_Oord__class_Oless @t34 (tptp.hAPP @t32 @t33) tptp.tc_nat) @t35))) % 0.33/0.95 (assume @p8 (forall (@list @t34 @t33 @t24) (or (tptp.c_HOL_Oord__class_Oless @t34 (tptp.hAPP @t36 @t24) tptp.tc_nat) @t35))) % 0.33/0.95 (assume @p9 (forall @t40 (or @t39 (not (tptp.c_HOL_Oord__class_Oless @t38 @t27 tptp.tc_nat))))) % 0.33/0.95 (assume @p10 (forall @t46 (or @t45 (not (tptp.c_HOL_Oord__class_Oless @t11 @t41 tptp.tc_nat))))) % 0.33/0.95 (assume @p11 (forall @t46 (or @t45 @t48))) % 0.33/0.95 (assume @p12 (forall (@list @t49 @t21 @t11 @t51 @t13) (= (tptp.c_List_Omap @t49 (tptp.c_List_Oreplicate @t21 @t11 @t51) @t51 @t13) (tptp.c_List_Oreplicate @t21 @t50 @t13)))) % 0.33/0.95 (assume @p13 (forall @t54 (= @t53 @t14))) % 0.33/0.95 (assume @p14 (forall @t57 (= (tptp.c_List_Orev @t56 @t13) @t55))) % 0.33/0.95 (assume @p15 (forall @t54 (= @t14 @t53))) % 0.33/0.95 (assume @p16 (forall @t54 (or (not (= (tptp.c_List_Orotate1 @t14 @t13) @t58)) @t59))) % 0.33/0.95 (assume @p17 (forall (@list @t21 @t13) (= (tptp.c_List_Otake @t21 @t58 @t13) @t58))) % 0.33/0.95 (assume @p18 (forall @t63 (or @t62 @t60))) % 0.33/0.95 (assume @p19 (forall (@list @t64 @t13) (tptp.c_List_Olistsp @t64 @t58 @t13))) % 0.33/0.95 (assume @p20 (forall @t66 (= (tptp.c_List_Orev @t65 @t13) (tptp.c_List_Omap @t49 (tptp.c_List_Orev @t14 @t51) @t51 @t13)))) % 0.33/0.95 (assume @p21 (forall (@list @t64 @t55 @t13 @t14) (or @t70 @t69))) % 0.33/0.95 (assume @p22 (forall (@list @t64 @t14 @t13 @t55) (or @t71 @t69))) % 0.33/0.95 (assume @p23 (forall @t72 (= (tptp.c_List_Orotate1 @t58 @t13) @t58))) % 0.33/0.95 (assume @p24 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.33/0.95 (assume @p25 (forall (@list @t21 @t49 @t14 @t51 @t13) (= (tptp.c_List_Otake @t21 @t65 @t13) (tptp.c_List_Omap @t49 (tptp.c_List_Otake @t21 @t14 @t51) @t51 @t13)))) % 0.33/0.95 (assume @p26 (forall (@list @t13 @t11 @t41 @t42) (or @t75 (tptp.c_HOL_Oord__class_Oless @t11 @t41 @t13) (not (tptp.c_HOL_Oord__class_Oless @t42 @t41 @t13)) @t74))) % 0.33/0.95 (assume @p27 (forall (@list @t13 @t41 @t11 @t42) (or @t78 (tptp.c_HOL_Oord__class_Oless @t41 @t11 @t13) (not (tptp.c_HOL_Oord__class_Oless @t41 @t42 @t13)) @t77))) % 0.33/0.95 (assume @p28 (forall @t23 (or (= (tptp.c_List_Olast @t22 @t13) @t11) @t80))) % 0.33/0.95 (assume @p29 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.33/0.95 (assume @p30 (forall @t54 (or (not (= @t52 @t58)) @t59))) % 0.33/0.95 (assume @p31 (forall @t72 (= @t81 @t58))) % 0.33/0.95 (assume @p32 (forall @t82 (= (tptp.c_List_Orev @t67 @t13) (tptp.c_List_Oappend @t56 @t52 @t13)))) % 0.33/0.95 (assume @p33 (forall (@list @t13 @t83 @t34) (or @t84 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t83 @t79 @t34 @t13) @t34)))) % 0.33/0.95 (assume @p34 (not (tptp.c_HOL_Oord__class_Oless @t79 @t79 tptp.tc_nat))) % 0.33/0.95 (assume @p35 (forall @t86 (or @t85 @t80))) % 0.33/0.95 (assume @p36 (forall @t87 (not (tptp.c_HOL_Oord__class_Oless @t24 @t79 tptp.tc_nat)))) % 0.33/0.95 (assume @p37 (forall @t86 (not (tptp.c_HOL_Oord__class_Oless @t21 @t79 tptp.tc_nat)))) % 0.33/0.95 (assume @p38 (forall (@list @t11 @t13 @t42) (= @t88 (tptp.c_List_Oreplicate @t79 @t42 @t13)))) % 0.33/0.95 (assume @p39 (forall @t63 (or @t62 @t90 @t89))) % 0.33/0.95 (assume @p40 (forall @t94 (or (= (tptp.c_Lambda_Osubstn @t93 @t2 @t27) @t93) @t92 @t91))) % 0.33/0.95 (assume @p41 (forall @t72 (or @t98 (tptp.c_HOL_Oord__class_Oless @t97 (tptp.hAPP (tptp.hAPP @t96 @t95) @t95) @t13)))) % 0.33/0.95 (assume @p42 (forall @t100 (= (tptp.c_List_Otake @t79 @t99 @t13) @t58))) % 0.33/0.95 (assume @p43 (forall @t104 (or @t103 (= @t8 (tptp.c_List_Oappend @t102 @t3 tptp.tc_Lambda_OdB)) @t101))) % 0.33/0.95 (assume @p44 (forall @t20 (or @t16 @t105))) % 0.33/0.95 (assume @p45 (forall @t107 (not @t106))) % 0.33/0.95 (assume @p46 (forall @t86 (not (tptp.c_HOL_Oord__class_Oless @t21 @t21 tptp.tc_nat)))) % 0.33/0.95 (assume @p47 (forall @t109 (or @t78 @t108))) % 0.33/0.95 (assume @p48 (forall @t109 (or @t110 @t108))) % 0.33/0.95 (assume @p49 (forall @t109 (or @t75 @t108))) % 0.33/0.95 (assume @p50 (forall @t112 (or @t111 @t76 @t73 @t90))) % 0.33/0.95 (assume @p51 (forall @t113 (or @t110 @t90 @t76 @t73))) % 0.33/0.95 (assume @p52 (forall @t115 (or @t114 @t25 @t60))) % 0.33/0.95 (assume @p53 (forall (@list @t116 @t21 @t24) (or (tptp.hBOOL (tptp.hAPP @t117 @t24)) @t114 @t60 @t25))) % 0.33/0.95 (assume @p54 (forall (@list @t42 @t11) (or (tptp.c_HOL_Oord__class_Oless @t42 @t11 tptp.tc_nat) @t47 @t90))) % 0.33/0.95 (assume @p55 (forall @t112 (or @t110 @t76 @t73 @t90))) % 0.33/0.95 (assume @p56 (forall (@list @t21 @t11 @t13 @t27) (= (tptp.c_List_Oappend @t22 @t118 @t13) (tptp.c_List_Oappend @t118 @t22 @t13)))) % 0.33/0.95 (assume @p57 (forall @t112 (or @t110 @t76 @t90 @t73))) % 0.33/0.95 (assume @p58 (forall @t113 (or @t110 @t90 @t73 @t76))) % 0.33/0.95 (assume @p59 (forall (@list @t13 @t120 @t124 @t119 @t123) (or @t129 (tptp.c_HOL_Oord__class_Oless @t128 @t126 @t13) (not (tptp.c_HOL_Oord__class_Oless @t124 @t123 @t13)) @t122))) % 0.33/0.95 (assume @p60 (forall (@list @t34 @t27 @t33 @t26) (or (tptp.c_HOL_Oord__class_Oless @t130 (tptp.hAPP @t36 @t26) tptp.tc_nat) @t28 @t35))) % 0.33/0.95 (assume @p61 (forall @t135 (or @t98 @t134 @t131))) % 0.33/0.95 (assume @p62 (forall @t135 (or @t98 @t25 (not @t134)))) % 0.33/0.95 (assume @p63 (forall (@list @t14 @t13 @t55) (or (not (= @t52 @t56)) @t136))) % 0.33/0.95 (assume @p64 (forall (@list @t64 @t14 @t55 @t13) (or @t68 (not @t70) (not @t71)))) % 0.33/0.95 (assume @p65 (forall (@list @t138 @t34 @t139 @t13 @t33) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t138 @t34 @t139 @t13) @t33) (tptp.hAPP @t138 @t33)) @t137))) % 0.33/0.95 (assume @p66 (forall (@list @t13 @t14) (or (not (= @t58 @t52)) @t59))) % 0.33/0.95 (assume @p67 (forall @t143 (or (tptp.c_HOL_Oord__class_Oless @t142 @t21 tptp.tc_nat) @t141 @t140))) % 0.33/0.95 (assume @p68 (forall (@list @t13 @t119 @t11 @t42) (or @t98 @t145 @t48 @t144))) % 0.33/0.95 (assume @p69 (forall (@list @t13 @t11 @t42 @t119) (or @t98 @t47 (not @t145) @t144))) % 0.33/0.95 (assume @p70 (forall (@list @t13 @t120 @t21 @t146) (or @t98 (tptp.c_HOL_Oord__class_Oless @t150 @t149 @t13) @t148 @t147))) % 0.33/0.95 (assume @p71 (forall (@list @t13 @t24 @t21 @t120) (or @t98 @t25 (not (tptp.c_HOL_Oord__class_Oless @t151 @t150 @t13)) @t148))) % 0.33/0.95 (assume @p72 (forall (@list @t34 @t33) (not (tptp.c_HOL_Oord__class_Oless @t38 @t34 tptp.tc_nat)))) % 0.33/0.95 (assume @p73 (forall (@list @t33 @t34) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t36 @t34) @t34 tptp.tc_nat)))) % 0.33/0.95 (assume @p74 (forall @t157 (or @t156 (= @t153 @t152)))) % 0.33/0.95 (assume @p75 (forall @t157 (or @t156 (= @t155 @t154)))) % 0.33/0.95 (assume @p76 (forall @t160 (or @t129 @t159 @t122))) % 0.33/0.95 (assume @p77 (forall @t160 (or @t161 @t159 @t122))) % 0.33/0.95 (assume @p78 (forall @t162 (or @t161 @t121 (not @t159)))) % 0.33/0.95 (assume @p79 (forall @t166 (or @t129 @t165 @t122))) % 0.33/0.95 (assume @p80 (forall @t166 (or @t161 @t165 @t122))) % 0.33/0.95 (assume @p81 (forall @t162 (or @t161 @t121 (not @t165)))) % 0.33/0.95 (assume @p82 (forall @t40 (or (tptp.c_HOL_Oord__class_Oless @t130 (tptp.hAPP @t36 @t27) tptp.tc_nat) @t35))) % 0.33/0.95 (assume @p83 (forall @t169 (or @t25 (not @t168)))) % 0.33/0.95 (assume @p84 (forall @t170 (or @t168 @t131))) % 0.33/0.95 (assume @p85 (forall @t72 (= (tptp.c_List_Obutlast @t58 @t13) @t58))) % 0.33/0.95 (assume @p86 (forall @t72 (= @t58 @t81))) % 0.33/0.95 (assume @p87 (forall @t172 (or @t78 @t122 @t171))) % 0.33/0.95 (assume @p88 (forall @t113 (or @t110 @t74 @t77))) % 0.33/0.95 (assume @p89 (forall @t112 (or @t75 @t77 @t74))) % 0.33/0.95 (assume @p90 (forall (@list @t13 @t119 @t120) (or @t75 @t171 @t122))) % 0.33/0.95 (assume @p91 (forall @t175 (or @t98 @t174 @t173))) % 0.33/0.95 (assume @p92 (forall @t175 (or @t98 @t85 (not @t174)))) % 0.33/0.95 (assume @p93 (forall (@list @t13 @t120 @t146 @t21) (or @t98 (tptp.c_HOL_Oord__class_Oless @t149 @t150 @t13) (not (tptp.c_HOL_Oord__class_Oless @t120 @t95 @t13)) @t177 @t147))) % 0.33/0.95 (assume @p94 (forall @t178 (or @t98 (tptp.c_HOL_Oord__class_Oless @t95 @t150 @t13) @t173 @t148))) % 0.33/0.95 (assume @p95 (forall @t54 (or (= (tptp.c_List_Oappend @t180 (tptp.c_List_Olist_OCons @t179 @t58 @t13) @t13) @t14) @t59))) % 0.33/0.95 (assume @p96 (forall @t184 (or @t183 @t182 @t177))) % 0.33/0.95 (assume @p97 (forall @t184 (or @t183 @t176 (not @t182)))) % 0.33/0.95 (assume @p98 (forall @t172 (or @t188 (tptp.c_HOL_Oord__class_Oless @t187 @t97 @t13) (not (tptp.c_HOL_Oord__class_Oless @t119 @t97 @t13)) @t186))) % 0.33/0.95 (assume @p99 (forall @t184 (or @t183 @t189 @t186))) % 0.33/0.95 (assume @p100 (forall @t184 (or @t183 @t185 @t190))) % 0.33/0.95 (assume @p101 (forall @t184 (or @t111 @t185 @t190))) % 0.33/0.95 (assume @p102 (forall @t184 (or @t111 @t189 @t186))) % 0.33/0.95 (assume @p103 (forall @t172 (or @t188 (tptp.c_HOL_Oord__class_Oless @t97 @t187 @t13) (not (tptp.c_HOL_Oord__class_Oless @t97 @t119 @t13)) @t177))) % 0.33/0.95 (assume @p104 (forall @t191 (or @t98 (tptp.c_HOL_Oord__class_Oless @t119 @t128 @t13) (not (tptp.c_HOL_Oord__class_Oless @t119 @t124 @t13)) @t177))) % 0.33/0.95 (assume @p105 (forall @t72 (or @t98 (not (tptp.c_HOL_Oord__class_Oless @t95 @t97 @t13))))) % 0.33/0.95 (assume @p106 (forall @t72 (or @t98 (tptp.c_HOL_Oord__class_Oless @t97 @t95 @t13)))) % 0.33/0.95 (assume @p107 (forall @t184 (or @t98 (tptp.c_HOL_Oord__class_Oless @t120 (tptp.hAPP @t127 @t95) @t13)))) % 0.33/0.95 (assume @p108 (forall (@list @t13 @t24) (or @t98 (not (tptp.c_HOL_Oord__class_Oless @t133 @t97 @t13))))) % 0.33/0.95 (assume @p109 (forall @t178 (or @t98 (tptp.c_HOL_Oord__class_Oless @t97 @t150 @t13) @t177))) % 0.33/0.95 (assume @p110 (forall @t192 (= @t88 @t58))) % 0.33/0.95 (assume @p111 (forall (@list @t21 @t14 @t13) (or (not (= (tptp.c_List_Otake @t21 @t14 @t13) @t58)) @t59 @t80))) % 0.33/0.95 (assume @p112 (forall @t109 (= @t58 @t88))) % 0.33/0.95 (assume @p113 (forall @t54 (= (tptp.c_List_Otake @t79 @t14 @t13) @t58))) % 0.33/0.95 (assume @p114 (forall @t23 (or (not (= @t22 @t58)) @t80))) % 0.33/0.95 (assume @p115 (forall (@list @t13 @t21 @t11) (or (not (= @t58 @t22)) @t80))) % 0.33/0.95 (assume @p116 (forall @t192 (= @t193 @t194))) % 0.33/0.95 (assume @p117 (forall @t100 (or (= (tptp.c_List_Olast @t99 @t13) @t179) @t59))) % 0.33/0.95 (assume @p118 (forall @t192 (= @t194 @t193))) % 0.33/0.95 (assume @p119 (forall (@list @t11 @t13 @t14) (or (not (= @t193 @t52)) @t195))) % 0.33/0.95 (assume @p120 (forall (@list @t14 @t13 @t11) (or (not (= @t52 @t193)) @t195))) % 0.33/0.95 (assume @p121 (forall @t192 (= (tptp.c_List_Obutlast @t193 @t13) @t58))) % 0.33/0.95 (assume @p122 (forall @t192 (= (tptp.c_List_Olast @t193 @t13) @t11))) % 0.33/0.95 (assume @p123 (forall @t100 (or (= (tptp.c_List_Obutlast @t99 @t13) (tptp.c_List_Olist_OCons @t11 @t180 @t13)) @t59))) % 0.33/0.95 (assume @p124 (forall @t199 (or @t198 (not @t196)))) % 0.33/0.95 (assume @p125 (forall @t199 (or @t198 @t173))) % 0.33/0.95 (assume @p126 (forall @t115 (or @t85 @t196 (not @t198)))) % 0.33/0.95 (assume @p127 (forall @t206 (or @t205 @t203 @t201))) % 0.33/0.95 (assume @p128 (forall @t211 (or @t210 @t209 @t207))) % 0.33/0.95 (assume @p129 (forall @t206 (or @t205 @t212 @t201))) % 0.33/0.95 (assume @p130 (forall @t211 (or @t210 @t213 @t207))) % 0.33/0.95 (assume @p131 (forall (@list @t21 @t11 @t13 @t14) (= (tptp.c_List_Oappend @t22 @t99 @t13) (tptp.c_List_Olist_OCons @t11 (tptp.c_List_Oappend @t22 @t14 @t13) @t13)))) % 0.33/0.95 (assume @p132 (forall (@list @t13 @t120 @t24 @t21) (or @t98 (not (= @t151 @t150)) @t148 @t60))) % 0.33/0.95 (assume @p133 (forall @t54 (= (tptp.c_List_Obutlast @t214 @t13) @t180))) % 0.33/0.95 (assume @p134 (forall @t82 (or (= (tptp.c_List_Olast @t67 @t13) (tptp.c_List_Olast @t55 @t13)) @t215))) % 0.33/0.95 (assume @p135 (forall @t54 (= (tptp.c_List_Olast @t214 @t13) @t179))) % 0.33/0.95 (assume @p136 (forall @t82 (or (= (tptp.c_List_Obutlast @t67 @t13) (tptp.c_List_Oappend @t14 (tptp.c_List_Obutlast @t55 @t13) @t13)) @t215))) % 0.33/0.95 (assume @p137 (forall (@list @t21 @t24 @t11 @t13) (= (tptp.c_List_Oreplicate @t217 @t11 @t13) (tptp.c_List_Oappend @t22 @t61 @t13)))) % 0.33/0.95 (assume @p138 (forall (@list @t220 @t2 @t9 @t218 @t139) (or (tptp.c_Type_Otyping @t220 @t222 @t218) (not (tptp.c_Type_Otyping @t220 @t9 @t139)) (not (tptp.c_Type_Otyping @t220 @t2 @t219))))) % 0.33/0.95 (assume @p139 (forall @t224 (or @t106 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t223) @t2) @t11) @t2)))) % 0.33/0.95 (assume @p140 (forall @t94 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t93) @t2) @t27) @t93) @t92 @t91))) % 0.33/0.95 (assume @p141 (forall (@list @t33 @t7 @t34) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t225) @t7) @t34) @t225) @t137))) % 0.33/0.95 (assume @p142 (forall @t228 (or (= @t227 @t93) @t226))) % 0.33/0.95 (assume @p143 (forall @t230 (or (= @t229 @t93) @t226))) % 0.33/0.95 (assume @p144 (forall @t211 (or @t210 @t213 @t215))) % 0.33/0.95 (assume @p145 (forall @t206 (or @t205 @t212 @t215))) % 0.33/0.95 (assume @p146 (forall @t232 (= (tptp.c_List_Olast @t231 @t13) @t11))) % 0.33/0.95 (assume @p147 (forall @t232 (= (tptp.c_List_Obutlast @t231 @t13) @t14))) % 0.33/0.95 (assume @p148 (forall @t206 (or @t205 @t203 @t215))) % 0.33/0.95 (assume @p149 (forall @t211 (or @t210 @t209 @t215))) % 0.33/0.95 (assume @p150 (forall @t100 (= (tptp.c_List_Orev @t99 @t13) (tptp.c_List_Oappend @t52 @t193 @t13)))) % 0.33/0.95 (assume @p151 (forall (@list @t14 @t13 @t42 @t55) (or (not (= @t52 @t235)) (= @t14 @t234)))) % 0.33/0.95 (assume @p152 (forall (@list @t55 @t13 @t42) (= (tptp.c_List_Orev @t234 @t13) @t235))) % 0.33/0.95 (assume @p153 (forall (@list @t11 @t14 @t51) (= (tptp.c_List_Orotate1 @t237 @t51) (tptp.c_List_Oappend @t14 (tptp.c_List_Olist_OCons @t11 @t236 @t51) @t51)))) % 0.33/0.95 (assume @p154 (forall (@list @t34 @t11 @t13) (= (tptp.c_List_Oappend @t238 @t193 @t13) (tptp.c_List_Olist_OCons @t11 @t238 @t13)))) % 0.33/0.95 (assume @p155 (forall @t100 (= (tptp.c_List_Otake @t239 @t99 @t13) @t193))) % 0.33/0.95 (assume @p156 (forall @t143 (or (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP (tptp.hAPP @t29 @t142) @t239))) @t141 @t140))) % 0.33/0.95 (assume @p157 (forall (@list @t5 @t13 @t11 @t14) (or (tptp.hBOOL (tptp.hAPP @t18 @t99)) @t105 (not (tptp.hBOOL (tptp.hAPP @t15 @t11)))))) % 0.33/0.95 (assume @p158 (forall @t230 (or (= @t229 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t37 @t21))) @t39))) % 0.33/0.95 (assume @p159 (forall (@list @t21 @t240) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t242)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t240 tptp.tc_Lambda_OdB))))) % 0.33/0.95 (assume @p160 (forall @t251 (or (= @t250 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t247) @t245) @t243)) (not (tptp.c_HOL_Oord__class_Oless @t34 @t243 tptp.tc_nat))))) % 0.33/0.95 (assume @p161 (forall @t251 (or (= @t250 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t246 @t252)) @t245) @t33)) (not (tptp.c_HOL_Oord__class_Oless @t33 @t252 tptp.tc_nat))))) % 0.33/0.95 (assume @p162 (forall @t228 (or (= @t227 (tptp.c_Lambda_OdB_OVar @t252)) @t39))) % 0.33/0.95 (assume @p163 (forall (@list @t220 @t9 @t139 @t218) (or (tptp.c_Type_Otyping @t220 @t253 @t219) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t220 @t79 @t139 tptp.tc_Type_Otype) @t9 @t218))))) % 0.33/0.95 (assume @p164 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.33/0.95 (assume @p165 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.33/0.95 (assume @p166 (forall @t224 (or @t106 (= (tptp.c_Lambda_Osubstn @t223 @t2 @t11) (tptp.c_Lambda_Oliftn @t11 @t2 @t79))))) % 0.33/0.95 (assume @p167 (forall @t175 (or @t84 (= @t132 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (tptp.c_COMBC @t96 @t95 @t13 @t13 @t13) @t21 @t97 @t13))))) % 0.33/0.95 (assume @p168 (forall (@list @t138 @t34 @t218 @t8 @t254) (or (tptp.c_Type_Otypings @t256 @t255 @t254) (not (tptp.c_Type_Otypings @t138 @t8 @t254))))) % 0.33/0.95 (assume @p169 (forall @t265 (or @t264 @t262 (not (tptp.c_Type_Otyping @t138 @t7 @t259)) @t260 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t138 @t34 @t259 tptp.tc_Type_Otype) @t9 @t258)) @t257))) % 0.33/0.95 (assume @p170 (forall @t265 (or @t264 @t262 (not (tptp.c_Type_Otyping @t138 @t7 @t263)) @t260 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t138 @t34 @t263 tptp.tc_Type_Otype) @t9 @t258)) @t257))) % 0.33/0.95 (assume @p171 (forall (@list @t8) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t79 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t8 tptp.tc_Lambda_OdB))))) % 0.33/0.95 (assume @p172 (forall @t275 (or @t274 @t271 @t269 @t267))) % 0.33/0.95 (assume @p173 (forall @t275 (or @t274 @t271 @t277 @t267))) % 0.33/0.95 (assume @p174 (forall (@list @t138 @t7 @t34 @t8 @t254 @t139) (or (tptp.c_Type_Otypings @t138 @t278 @t254) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t138 @t34 @t139 tptp.tc_Type_Otype) @t8 @t254)) (not (tptp.c_Type_Otyping @t138 @t7 @t139))))) % 0.33/0.95 (assume @p175 (forall @t275 (or @t274 @t280 @t277 @t267))) % 0.33/0.95 (assume @p176 (forall @t275 (or @t274 @t280 @t269 @t267))) % 0.33/0.95 (assume @p177 (forall (@list @t116 @t281 @t51 @t283 @t13 @t282) (= (tptp.hAPP (tptp.c_COMBC @t116 @t281 @t51 @t283 @t13) @t282) (tptp.hAPP (tptp.hAPP @t116 @t282) @t281)))) % 0.33/0.95 (assume @p178 (forall (@list @t49 @t51 @t13) (= @t284 @t58))) % 0.33/0.95 (assume @p179 (forall @t72 (or @t84 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t239 @t13) @t95)))) % 0.33/0.95 (assume @p180 (forall (@list @t5 @t13 @t42 @t11) (or @t288 (not @t285)))) % 0.33/0.95 (assume @p181 (forall @t289 (or @t285 (not @t288)))) % 0.33/0.95 (assume @p182 (forall @t295 (or @t294 @t292 @t291))) % 0.33/0.95 (assume @p183 (forall (@list @t220 @t11) (tptp.c_Type_Otyping @t220 @t223 (tptp.hAPP @t220 @t11)))) % 0.33/0.95 (assume @p184 (forall (@list @t11 @t4 @t13 @t200) (= @t298 @t296))) % 0.33/0.95 (assume @p185 (forall (@list @t11 @t14 @t13 @t55) (= (tptp.c_List_Oappend @t99 @t55 @t13) (tptp.c_List_Olist_OCons @t11 @t67 @t13)))) % 0.33/0.95 (assume @p186 (forall (@list @t49 @t11 @t4 @t51 @t13) (= (tptp.c_List_Omap @t49 (tptp.c_List_Olist_OCons @t11 @t4 @t51) @t51 @t13) (tptp.c_List_Olist_OCons @t50 (tptp.c_List_Omap @t49 @t4 @t51 @t13) @t13)))) % 0.33/0.95 (assume @p187 (forall (@list @t49 @t4 @t299 @t51 @t13) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t49 @t4) (tptp.c_List_Omap @t49 @t299 @t51 @t13) @t13) (tptp.c_List_Omap @t49 (tptp.c_List_Olist_OCons @t4 @t299 @t51) @t51 @t13)))) % 0.33/0.95 (assume @p188 (forall (@list @t49 @t11 @t14 @t51 @t13) (= (tptp.c_List_Omap @t49 @t237 @t51 @t13) (tptp.c_List_Olist_OCons @t50 @t65 @t13)))) % 0.33/0.95 (assume @p189 (forall @t46 (or (not (= (tptp.hAPP @t301 @t42) @t302)) @t300))) % 0.33/0.95 (assume @p190 (forall (@list @t24 @t27 @t21) (or (not (= (tptp.hAPP @t32 @t27) @t303)) @t60))) % 0.33/0.95 (assume @p191 (forall @t170 (or (not (= @t167 @t31)) @t60))) % 0.33/0.95 (assume @p192 (forall @t309 (or @t308 @t307 (not (= @t306 @t305)) @t300))) % 0.33/0.95 (assume @p193 (forall @t162 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t13)) @t311 @t310))) % 0.33/0.95 (assume @p194 (forall @t162 (or @t312 @t311 @t310))) % 0.33/0.95 (assume @p195 (forall @t191 (or @t312 (not (= @t313 @t164)) @t310))) % 0.33/0.95 (assume @p196 (forall (@list @t11 @t4 @t200 @t13) (= @t296 @t298))) % 0.33/0.95 (assume @p197 (forall (@list @t11 @t314 @t200 @t13) (= (tptp.c_List_Olist_OCons @t11 (tptp.c_List_Oappend @t314 @t200 @t13) @t13) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t11 @t314 @t13) @t200 @t13)))) % 0.33/0.95 (assume @p198 (forall (@list @t11 @t4 @t13) (not (= @t297 @t58)))) % 0.33/0.95 (assume @p199 (forall (@list @t316 @t315 @t13) (not (= @t317 @t58)))) % 0.33/0.95 (assume @p200 (forall (@list @t11 @t42 @t5 @t13 @t55 @t14) (or @t90 @t294 @t318))) % 0.33/0.95 (assume @p201 (forall (@list @t13 @t120 @t119 @t124 @t123) (or @t322 (= (tptp.hAPP @t321 @t320) (tptp.hAPP @t319 @t126))))) % 0.33/0.95 (assume @p202 (forall @t328 (or @t327 @t326 @t325))) % 0.33/0.95 (assume @p203 (forall (@list @t11 @t9 @t13) (not (= (tptp.c_List_Olist_OCons @t11 @t9 @t13) @t9)))) % 0.33/0.95 (assume @p204 (forall @t232 (not (= @t14 @t99)))) % 0.33/0.95 (assume @p205 (forall @t100 (= @t99 @t329))) % 0.33/0.95 (assume @p206 (forall @t331 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t330 @t93))) @t257))) % 0.33/0.95 (assume @p207 (forall (@list @t332 @t7 @t218 @t34 @t9 @t139) (or (not (tptp.c_Type_Otyping @t332 @t7 @t218)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t332 @t34 @t218 tptp.tc_Type_Otype) @t9 @t139)) (tptp.c_Type_Otyping @t332 @t261 @t139)))) % 0.33/0.95 (assume @p208 (forall (@list @t13 @t49 @t51) (= @t58 @t284))) % 0.33/0.95 (assume @p209 (forall (@list @t55 @t14 @t5 @t13 @t42 @t11) (or @t333 @t292 @t291))) % 0.33/0.95 (assume @p210 (forall @t72 (= @t58 @t334))) % 0.33/0.95 (assume @p211 (forall (@list @t5 @t13) (= (tptp.c_Transitive__Closure_Ortranclp @t286 @t13) @t286))) % 0.33/0.95 (assume @p212 (forall (@list @t335 @t120 @t336 @t13) (or (= (tptp.hAPP @t338 @t336) @t120) @t337))) % 0.33/0.95 (assume @p213 (forall (@list @t335 @t336 @t120 @t13) (or (= (tptp.hAPP (tptp.hAPP @t335 @t336) @t120) @t120) @t337))) % 0.33/0.95 (assume @p214 (forall @t341 (or @t340 @t280 @t269 @t267))) % 0.33/0.95 (assume @p215 (forall @t341 (or @t340 @t280 @t277 @t267))) % 0.33/0.95 (assume @p216 (forall @t178 (or @t347 @t346 @t345 @t344 @t343 @t342))) % 0.33/0.95 (assume @p217 (forall @t178 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t13)) @t343 @t342))) % 0.33/0.95 (assume @p218 (forall @t72 (or @t347 (not (= @t95 @t97))))) % 0.33/0.95 (assume @p219 (forall @t184 (or @t183 (not (= @t181 @t97)) @t342))) % 0.33/0.95 (assume @p220 (forall (@list @t13 @t11 @t120) (or @t308 @t307 (not (= @t11 (tptp.hAPP @t304 @t120))) @t342))) % 0.33/0.95 (assume @p221 (forall @t72 (or @t183 (= (tptp.hAPP @t348 @t97) @t97)))) % 0.33/0.95 (assume @p222 (forall @t72 (or @t347 (not (= @t97 @t95))))) % 0.33/0.95 (assume @p223 (forall @t109 (or @t322 (= (tptp.hAPP @t348 @t11) @t11)))) % 0.33/0.95 (assume @p224 (forall @t184 (or @t350 @t349))) % 0.33/0.95 (assume @p225 (forall @t109 (or @t308 @t307 (= @t11 (tptp.hAPP @t304 @t97))))) % 0.33/0.95 (assume @p226 (forall @t184 (or @t350 @t351))) % 0.33/0.95 (assume @p227 (forall @t184 (or @t352 @t349))) % 0.33/0.95 (assume @p228 (forall @t184 (or @t352 @t351))) % 0.33/0.95 (assume @p229 (forall @t184 (or @t322 @t351))) % 0.33/0.95 (assume @p230 (forall @t184 (or @t322 @t349))) % 0.33/0.95 (assume @p231 (forall @t72 (or @t353 @t344 (= (tptp.c_Power_Opower__class_Opower @t97 @t79 @t13) @t95)))) % 0.33/0.95 (assume @p232 (forall (@list @t9 @t27) (= (tptp.c_Lambda_Oliftn @t79 @t9 @t27) @t9))) % 0.33/0.95 (assume @p233 (forall @t199 (or @t354 @t80))) % 0.33/0.95 (assume @p234 (forall @t199 (or @t354 @t89))) % 0.33/0.95 (assume @p235 (forall (@list @t11 @t120) (or (not (= @t11 (tptp.hAPP @t301 @t120))) (= @t120 @t79)))) % 0.33/0.95 (assume @p236 (forall @t199 (or (not (= @t197 @t24)) @t80))) % 0.33/0.95 (assume @p237 (= (tptp.hAPP @t355 @t79) @t79)) % 0.33/0.95 (assume @p238 (forall @t107 (= @t11 (tptp.hAPP @t301 @t79)))) % 0.33/0.95 (assume @p239 (forall @t86 (= (tptp.hAPP @t355 @t21) @t21))) % 0.33/0.95 (assume @p240 (forall @t87 (= (tptp.hAPP @t32 @t79) @t24))) % 0.33/0.95 (assume @p241 (forall (@list @t116 @t359 @t357 @t358 @t299 @t356) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t299) @t356) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP (tptp.hAPP @t357 @t299) @t356)))))) % 0.33/0.95 (assume @p242 (forall (@list @t116 @t359 @t357 @t358 @t361 @t360) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 @t363 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 @t362))))) % 0.33/0.95 (assume @p243 (forall (@list @t367 @t365 @t364) (not (= @t368 @t366)))) % 0.33/0.95 (assume @p244 (forall @t175 (or @t369 (= (tptp.c_Power_Opower__class_Opower @t95 @t21 @t13) @t95)))) % 0.33/0.95 (assume @p245 (forall @t371 (= (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 @t368 @t13) @t370))) % 0.33/0.95 (assume @p246 (forall (@list @t13 @t11 @t42 @t41 @t7) (or @t374 (not (= @t373 (tptp.hAPP @t372 @t7))) (= @t305 @t7)))) % 0.33/0.95 (assume @p247 (forall (@list @t5 @t119 @t120 @t13 @t51) (or @t378 (not @t376)))) % 0.33/0.95 (assume @p248 (forall (@list @t5 @t13 @t51 @t120 @t119) (or @t376 (not @t378)))) % 0.33/0.95 (assume @p249 (forall (@list @t5 @t379 @t380 @t13 @t51) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t379) @t380)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t375 @t380) @t379)))))) % 0.33/0.95 (assume @p250 (forall (@list @t5 @t13 @t51 @t119 @t120) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t375 @t119) @t120)) @t381))) % 0.33/0.95 (assume @p251 (forall @t162 (or @t322 @t384))) % 0.33/0.95 (assume @p252 (forall @t386 (or @t322 (= @t385 (tptp.hAPP @t163 (tptp.hAPP @t127 @t123)))))) % 0.33/0.95 (assume @p253 (forall @t162 (or @t322 (= @t383 (tptp.hAPP @t319 @t119))))) % 0.33/0.95 (assume @p254 (forall @t386 (or @t322 (= @t385 (tptp.hAPP @t319 @t123))))) % 0.33/0.95 (assume @p255 (forall @t162 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t13)) @t384))) % 0.33/0.95 (assume @p256 (forall @t162 (or @t350 (= @t382 (tptp.hAPP @t125 @t128))))) % 0.33/0.95 (assume @p257 (forall @t162 (or @t350 @t384))) % 0.33/0.95 (assume @p258 (forall @t169 (= (tptp.hAPP (tptp.hAPP @t29 @t197) @t27) (tptp.hAPP @t32 @t303)))) % 0.33/0.95 (assume @p259 (forall @t46 (= (tptp.hAPP @t301 @t44) (tptp.hAPP @t43 @t302)))) % 0.33/0.95 (assume @p260 (forall @t309 (or @t374 (= @t373 (tptp.hAPP @t372 @t305))))) % 0.33/0.95 (assume @p261 (forall @t309 (or @t322 (= @t373 (tptp.hAPP (tptp.hAPP @t96 @t306) @t41))))) % 0.33/0.95 (assume @p262 (forall (@list @t5 @t13 @t55 @t14 @t11) (or @t388 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.c_List_Oappend @t55 @t11 @t13)) @t387))))) % 0.33/0.95 (assume @p263 (forall (@list @t5 @t13 @t11 @t390 @t389) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.c_List_Oappend @t11 @t390 @t13)) (tptp.c_List_Oappend @t11 @t389 @t13))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t390) @t389)))))) % 0.33/0.95 (assume @p264 (forall (@list @t11 @t42 @t14 @t55 @t5 @t13) (or @t90 @t136 @t318))) % 0.33/0.95 (assume @p265 (forall (@list @t5 @t42 @t4 @t13 @t11) (or (not (tptp.hBOOL (tptp.hAPP @t293 @t4))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.c_List_Olist_OCons @t42 @t11 @t13)) (tptp.c_List_Olist_OCons @t4 @t11 @t13)))))) % 0.33/0.95 (assume @p266 (forall (@list @t55 @t14 @t13 @t200) (or (not (= (tptp.c_List_Oappend @t55 @t14 @t13) (tptp.c_List_Oappend @t200 @t14 @t13))) @t391))) % 0.33/0.95 (assume @p267 (forall @t392 (or (not (= @t67 (tptp.c_List_Oappend @t14 @t200 @t13))) @t391))) % 0.33/0.95 (assume @p268 (forall (@list @t5 @t13 @t120) (tptp.hBOOL (tptp.hAPP @t393 @t120)))) % 0.33/0.95 (assume @p269 (forall (@list @t5 @t13 @t11) (tptp.hBOOL (tptp.hAPP @t394 @t11)))) % 0.33/0.95 (assume @p270 (forall @t400 (or @t399 @t398 @t396))) % 0.33/0.95 (assume @p271 (forall @t400 (or @t399 @t396 @t398))) % 0.33/0.95 (assume @p272 (forall (@list @t5 @t13 @t11 @t41 @t42) (or (tptp.hBOOL (tptp.hAPP @t394 @t41)) (not (tptp.hBOOL (tptp.hAPP @t287 @t41))) (not @t401)))) % 0.33/0.95 (assume @p273 (forall @t403 (or (tptp.hBOOL (tptp.hAPP @t402 @t9)) @t257))) % 0.33/0.95 (assume @p274 (forall @t405 (or @t404 (not (tptp.hBOOL (tptp.hAPP @t402 @t5)))))) % 0.33/0.95 (assume @p275 (forall @t54 (= @t214 @t14))) % 0.33/0.95 (assume @p276 (forall @t192 (= @t11 (tptp.c_List_Oappend @t58 @t11 @t13)))) % 0.33/0.95 (assume @p277 (forall @t54 (= @t14 @t214))) % 0.33/0.95 (assume @p278 (forall (@list @t13 @t55) (= @t406 @t55))) % 0.33/0.95 (assume @p279 (forall @t57 (= @t55 @t406))) % 0.33/0.95 (assume @p280 (forall @t408 (= (tptp.c_Lambda_Osubstn @t253 @t2 @t27) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t9 @t2 @t407))))) % 0.33/0.95 (assume @p281 (forall (@list @t13 @t120 @t124) (or @t322 (= @t128 @t164)))) % 0.33/0.95 (assume @p282 (forall @t172 (or @t350 (= @t187 @t313)))) % 0.33/0.95 (assume @p283 (forall @t199 (= @t197 @t217))) % 0.33/0.95 (assume @p284 (forall @t113 (or @t322 (= @t306 (tptp.hAPP @t372 @t11))))) % 0.33/0.95 (assume @p285 (forall @t295 (or @t294 @t409 @t291))) % 0.33/0.95 (assume @p286 (forall @t135 (or (not (tptp.class_Nat_Osemiring__char__0 @t13)) (not (= @t133 @t132)) @t60))) % 0.33/0.95 (assume @p287 (forall (@list @t138 @t34 @t139) (or (= (tptp.hAPP @t138 @t34) @t139) (not (tptp.c_Type_Otyping @t138 @t93 @t139))))) % 0.33/0.95 (assume @p288 (forall (@list @t13 @t49 @t14 @t51) (or (not (= @t58 @t65)) @t410))) % 0.33/0.95 (assume @p289 (forall @t86 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t241)))) % 0.33/0.95 (assume @p290 (forall @t109 (or @t322 (= (tptp.c_Power_Opower__class_Opower @t11 @t239 @t13) @t11)))) % 0.33/0.95 (assume @p291 (forall @t184 (or @t369 (= (tptp.c_Power_Opower__class_Opower @t120 @t239 @t13) @t120)))) % 0.33/0.95 (assume @p292 (forall @t289 (or @t401 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t11) @t42)))))) % 0.33/0.95 (assume @p293 (forall @t20 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t58) @t14))))) % 0.33/0.95 (assume @p294 (forall @t20 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t14) @t58))))) % 0.33/0.95 (assume @p295 (forall (@list @t138 @t11 @t139 @t13) (= (tptp.hAPP (tptp.c_Type_Oshift @t138 @t11 @t139 @t13) @t11) @t139))) % 0.33/0.95 (assume @p296 (forall @t331 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t247)) @t257))) % 0.33/0.95 (assume @p297 (forall @t412 (or @t411 @t59))) % 0.33/0.95 (assume @p298 (forall @t412 (or @t411 @t215))) % 0.33/0.95 (assume @p299 (forall @t82 (or @t413 @t59))) % 0.33/0.95 (assume @p300 (forall @t82 (or @t413 @t215))) % 0.33/0.95 (assume @p301 (forall @t72 (= (tptp.c_Predicate_Oconversep @t414 @t13 @t13) @t414))) % 0.33/0.95 (assume @p302 (forall @t371 (= (tptp.c_Lambda_OdB_OdB__rec @t359 @t357 @t358 @t368 @t13) @t370))) % 0.33/0.95 (assume @p303 (forall @t417 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t416) @t245)) @t415))) % 0.33/0.95 (assume @p304 (forall @t418 (or @t292 @t136 @t318))) % 0.33/0.95 (assume @p305 (forall (@list @t335 @t120 @t119 @t124 @t13) (or (= (tptp.hAPP (tptp.hAPP @t335 (tptp.hAPP @t338 @t119)) @t124) (tptp.hAPP @t338 (tptp.hAPP (tptp.hAPP @t335 @t119) @t124))) @t419))) % 0.33/0.95 (assume @p306 (forall (@list @t21 @t2 @t27) (= (tptp.c_Lambda_Oliftn @t21 @t420 @t27) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t21 @t2 @t407))))) % 0.33/0.95 (assume @p307 (forall (@list @t49 @t14 @t55 @t51 @t13) (= (tptp.c_List_Omap @t49 @t421 @t51 @t13) (tptp.c_List_Oappend @t65 (tptp.c_List_Omap @t49 @t55 @t51 @t13) @t13)))) % 0.33/0.95 (assume @p308 (forall (@list @t13 @t316 @t315) (not (= @t58 @t317)))) % 0.33/0.95 (assume @p309 (forall (@list @t55 @t14 @t42 @t11 @t5 @t13) (or @t333 @t409 @t291))) % 0.33/0.95 (assume @p310 (forall (@list @t9 @t8 @t34) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t10) @t34) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t247 @t255 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (assume @p311 (forall @t184 (or @t344 (= @t422 @t95)))) % 0.33/0.95 (assume @p312 (forall @t109 (or @t322 (= (tptp.c_Power_Opower__class_Opower @t11 @t79 @t13) @t95)))) % 0.33/0.95 (assume @p313 (forall @t72 (or @t423 (tptp.c_OrderedGroup_Osemigroup__add @t96 @t13)))) % 0.33/0.95 (assume @p314 (forall (@list @t5 @t34 @t33) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t425 @t93) @t33))) @t424))) % 0.33/0.95 (assume @p315 (forall (@list @t5 @t13 @t51) (= (tptp.c_Predicate_Oconversep @t375 @t51 @t13) @t5))) % 0.33/0.95 (assume @p316 (forall @t82 (or (not (= @t67 @t14)) @t215))) % 0.33/0.95 (assume @p317 (forall @t82 (or (not (= @t14 @t67)) @t215))) % 0.33/0.95 (assume @p318 (forall @t82 (or (not (= @t67 @t55)) @t59))) % 0.33/0.95 (assume @p319 (forall (@list @t55 @t14 @t13) (or (not (= @t55 @t67)) @t59))) % 0.33/0.95 (assume @p320 (forall (@list @t13 @t11 @t14) (= @t329 @t99))) % 0.33/0.95 (assume @p321 (forall @t428 (or @t427 (= @t120 @t316)))) % 0.33/0.95 (assume @p322 (forall @t428 (or @t427 (= @t426 @t315)))) % 0.33/0.95 (assume @p323 (forall @t418 (or @t292 @t294 @t318))) % 0.33/0.95 (assume @p324 (forall (@list @t5 @t13 @t11 @t55 @t14) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.c_List_Olist_OCons @t11 @t55 @t13)) @t99)) @t388))) % 0.33/0.95 (assume @p325 (forall (@list @t116 @t359 @t357 @t358 @t367) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 @t368 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 @t370))))) % 0.33/0.95 (assume @p326 (forall (@list @t116 @t359 @t357 @t358 @t429) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 (tptp.c_Lambda_OdB_OVar @t429) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP @t359 @t429)))))) % 0.33/0.95 (assume @p327 (forall (@list @t367 @t430) (or (not (= @t368 (tptp.c_Lambda_OdB_OVar @t430))) (= @t367 @t430)))) % 0.33/0.95 (assume @p328 (forall @t135 (or @t84 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t197 @t13) (tptp.hAPP (tptp.hAPP @t96 @t133) @t132))))) % 0.33/0.95 (assume @p329 (forall @t66 (or (not (= @t65 @t58)) @t410))) % 0.33/0.95 (assume @p330 (forall @t432 (or @t431 @t136))) % 0.33/0.95 (assume @p331 (forall @t432 (or @t431 @t90))) % 0.33/0.95 (assume @p332 (forall @t72 (= @t334 @t58))) % 0.33/0.95 (assume @p333 (forall (@list @t2 @t27) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t420) @t27) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t244 @t407))))) % 0.33/0.95 (assume @p334 (forall @t392 (= (tptp.c_List_Oappend @t67 @t200 @t13) (tptp.c_List_Oappend @t14 @t204 @t13)))) % 0.33/0.95 (assume @p335 (forall (@list @t14 @t314 @t389 @t13) (= (tptp.c_List_Oappend @t14 (tptp.c_List_Oappend @t314 @t389 @t13) @t13) (tptp.c_List_Oappend (tptp.c_List_Oappend @t14 @t314 @t13) @t389 @t13)))) % 0.33/0.95 (assume @p336 (forall (@list @t200 @t11 @t13 @t55) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t200 @t11 @t13) @t55 @t13) (tptp.c_List_Oappend @t200 (tptp.c_List_Oappend @t11 @t55 @t13) @t13)))) % 0.33/0.95 (assume @p337 (forall (@list @t14 @t11 @t8 @t13) (= (tptp.c_List_Oappend @t14 (tptp.c_List_Oappend @t11 @t8 @t13) @t13) (tptp.c_List_Oappend @t387 @t8 @t13)))) % 0.33/0.95 (assume @p338 (forall @t436 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____) @t7) @t34))) @t435 @t260 (not (tptp.c_Type_Otyping @t434 tptp.v_a____ @t433))))) % 0.33/0.95 (assume @p339 (forall (@list @t138 @t34 @t218 @t9 @t139) (or (tptp.c_Type_Otyping @t256 @t247 @t139) @t326))) % 0.33/0.95 (assume @p340 (forall @t438 (or @t437 (not (tptp.hBOOL (tptp.hAPP @t397 @t124))) @t381))) % 0.33/0.95 (assume @p341 (forall @t438 (or @t437 (not (tptp.hBOOL (tptp.hAPP @t377 @t124))) (not (tptp.hBOOL (tptp.hAPP @t393 @t119)))))) % 0.33/0.95 (assume @p342 (forall (@list @t5 @t13 @t42 @t120) (or (tptp.hBOOL (tptp.hAPP @t15 @t42)) (not (tptp.hBOOL (tptp.hAPP @t293 @t120))) @t396))) % 0.33/0.95 (assume @p343 (forall (@list @t5 @t13 @t120 @t119) (or @t395 @t381 (not @t399)))) % 0.33/0.95 (assume @p344 (forall (@list @t2 @t9 @t27) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t222) @t27) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t244 @t27)) @t439)))) % 0.33/0.95 (assume @p345 (forall @t440 (= (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 @t363 @t13) @t362))) % 0.33/0.95 (assume @p346 (forall @t440 (= (tptp.c_Lambda_OdB_OdB__rec @t359 @t357 @t358 @t363 @t13) (tptp.hAPP (tptp.hAPP @t362 (tptp.c_Lambda_OdB_OdB__rec @t359 @t357 @t358 @t361 @t13)) (tptp.c_Lambda_OdB_OdB__rec @t359 @t357 @t358 @t360 @t13))))) % 0.33/0.95 (assume @p347 (forall (@list @t21 @t2 @t9 @t27) (= (tptp.c_Lambda_Oliftn @t21 @t222 @t27) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t21 @t2 @t27)) (tptp.c_Lambda_Oliftn @t21 @t9 @t27))))) % 0.33/0.95 (assume @p348 (forall @t442 (= (tptp.c_Lambda_Osubstn @t441 @t2 @t27) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t9 @t2 @t27)) (tptp.c_Lambda_Osubstn @t7 @t2 @t27))))) % 0.33/0.95 (assume @p349 (forall (@list @t365 @t364 @t367) (not (= @t366 @t368)))) % 0.33/0.95 (assume @p350 (forall @t451 (or @t450 @t448 @t445 @t443))) % 0.33/0.95 (assume @p351 (forall @t455 (or @t454 @t452 @t445 @t443))) % 0.33/0.95 (assume @p352 (forall @t451 (or @t450 @t452 @t445 @t443))) % 0.33/0.95 (assume @p353 (forall @t455 (or @t454 @t448 @t445 @t443))) % 0.33/0.95 (assume @p354 (forall (@list @t9 @t2 @t21) (= (tptp.c_Lambda_Osubstn @t9 @t2 @t21) (tptp.hAPP (tptp.hAPP @t248 (tptp.c_Lambda_Oliftn @t21 @t2 @t79)) @t21)))) % 0.33/0.95 (assume @p355 (forall @t328 (or @t327 (not (tptp.hBOOL (tptp.hAPP @t453 @t323))) @t326))) % 0.33/0.95 (assume @p356 (forall (@list @t34 @t9) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t93) @t9))))) % 0.33/0.95 (assume @p357 (forall @t417 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t416) @t245)) @t456))) % 0.33/0.95 (assume @p358 (forall @t408 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t253) @t2) @t27) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP @t244 @t79)) @t407))))) % 0.33/0.95 (assume @p359 (forall @t341 (or @t340 @t271 @t277 @t267))) % 0.33/0.95 (assume @p360 (forall @t341 (or @t340 @t271 @t269 @t267))) % 0.33/0.95 (assume @p361 (forall (@list @t457 @t367) (not (= @t458 @t368)))) % 0.33/0.95 (assume @p362 (forall (@list @t116 @t359 @t357 @t358 @t4) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 (tptp.c_Lambda_OdB_OAbs @t4) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP @t358 @t4)))))) % 0.33/0.95 (assume @p363 (forall (@list @t116 @t359 @t357 @t358 @t459) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 @t461 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 @t460))))) % 0.33/0.95 (assume @p364 (forall @t462 (= (tptp.c_Lambda_OdB_OdB__rec @t359 @t357 @t358 @t461 @t13) (tptp.hAPP @t460 (tptp.c_Lambda_OdB_OdB__rec @t359 @t357 @t358 @t459 @t13))))) % 0.33/0.95 (assume @p365 (forall (@list @t367 @t457) (not (= @t368 @t458)))) % 0.33/0.95 (assume @p366 (forall @t462 (= (tptp.c_Lambda_OdB_OdB__case @t359 @t357 @t358 @t461 @t13) @t460))) % 0.33/0.95 (assume @p367 (forall @t405 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t463)) @t424))) % 0.33/0.95 (assume @p368 (forall @t465 (or @t464 @t280 @t277 @t267))) % 0.33/0.95 (assume @p369 (forall @t465 (or @t464 @t280 @t269 @t267))) % 0.33/0.95 (assume @p370 (forall (@list @t240 @t21 @t466) (or (tptp.hBOOL (tptp.hAPP @t279 @t468)) @t467))) % 0.33/0.95 (assume @p371 (forall (@list @t139 @t218 @t138 @t34 @t8) (or (= @t139 @t218) (not (tptp.c_Type_Otyping @t138 @t469 @t218)) (not (tptp.c_Type_Otyping @t138 @t469 @t139))))) % 0.33/0.95 (assume @p372 (forall @t87 (= @t470 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t470 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (assume @p373 (forall @t104 (or @t103 (= @t5 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t102 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t101))) % 0.33/0.95 (assume @p374 (forall @t403 (= @t9 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t9) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t9) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (assume @p375 (forall @t475 (or @t474 @t472))) % 0.33/0.95 (assume @p376 (forall (@list @t335 @t11 @t42 @t200 @t13) (or (= (tptp.c_List_Ofoldl @t335 (tptp.hAPP @t476 @t42) @t200 @t13 @t13) (tptp.hAPP @t476 (tptp.c_List_Ofoldl @t335 @t42 @t200 @t13 @t13))) @t419))) % 0.33/0.95 (assume @p377 (forall (@list @t49 @t120 @t51 @t13) (= (tptp.c_List_Ofoldl @t49 @t120 @t236 @t13 @t51) @t120))) % 0.33/0.95 (assume @p378 (forall (@list @t13 @t11 @t42 @t200) (or @t423 (= (tptp.c_List_Ofoldl @t96 @t306 @t200 @t13 @t13) (tptp.hAPP @t304 (tptp.c_List_Ofoldl @t96 @t42 @t200 @t13 @t13)))))) % 0.33/0.95 (assume @p379 (forall (@list @t335 @t11 @t336 @t200 @t13) (or (= (tptp.hAPP @t476 (tptp.c_List_Ofoldl @t335 @t336 @t200 @t13 @t13)) (tptp.c_List_Ofoldl @t335 @t11 @t200 @t13 @t13)) @t337))) % 0.33/0.95 (assume @p380 (forall (@list @t49 @t120 @t11 @t14 @t51 @t13) (= (tptp.c_List_Ofoldl @t49 @t120 @t237 @t13 @t51) (tptp.c_List_Ofoldl @t49 (tptp.hAPP (tptp.hAPP @t49 @t120) @t11) @t14 @t13 @t51)))) % 0.33/0.95 (assume @p381 (forall (@list @t49 @t120 @t14 @t55 @t51 @t13) (= (tptp.c_List_Ofoldl @t49 @t120 @t421 @t13 @t51) (tptp.c_List_Ofoldl @t49 (tptp.c_List_Ofoldl @t49 @t120 @t14 @t13 @t51) @t55 @t13 @t51)))) % 0.33/0.95 (assume @p382 (forall (@list @t9 @t8 @t7 @t34) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t10) @t7) @t34) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t261 @t278 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (assume @p383 (forall (@list @t27 @t7) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t27)) @t7) @t27) @t7))) % 0.33/0.95 (assume @p384 (forall (@list @t9 @t27 @t2) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t439) @t2) @t27) @t9))) % 0.33/0.95 (assume @p385 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t478 tptp.v_T_Ha______)) % 0.33/0.95 (assume @p386 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) @t478 tptp.v_T_H____)) % 0.33/0.95 (assume @p387 (forall @t455 (or @t454 @t452 @t479 @t443))) % 0.33/0.95 (assume @p388 (forall @t451 (or @t450 @t448 @t479 @t443))) % 0.33/0.95 (assume @p389 (forall @t455 (or @t454 @t448 @t479 @t443))) % 0.33/0.95 (assume @p390 (forall @t451 (or @t450 @t452 @t479 @t443))) % 0.33/0.95 (assume @p391 (forall @t465 (or @t464 @t271 @t269 @t267))) % 0.33/0.95 (assume @p392 (forall @t465 (or @t464 @t271 @t277 @t267))) % 0.33/0.95 (assume @p393 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_a____))) % 0.33/0.95 (assume @p394 (forall (@list @t466 @t21 @t240) (or (= @t466 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t241 @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t467))) % 0.33/0.95 (assume @p395 (forall @t175 (or @t347 @t346 @t345 @t344 @t480 @t80))) % 0.33/0.95 (assume @p396 (forall @t175 (or @t353 @t344 @t480 @t80))) % 0.33/0.95 (assume @p397 (forall @t184 (or @t347 @t346 @t345 @t344 (not (= @t422 @t97))))) % 0.33/0.95 (assume @p398 (forall @t72 (or @t84 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t79 @t13) @t97)))) % 0.33/0.95 (assume @p399 (forall (@list @t13 @t11 @t200) (or @t352 (= (tptp.hAPP @t304 (tptp.c_List_Ofoldl @t96 @t97 @t200 @t13 @t13)) (tptp.c_List_Ofoldl @t96 @t11 @t200 @t13 @t13))))) % 0.33/0.95 (assume @p400 (forall (@list @t2 @t9 @t323) (or (tptp.hBOOL (tptp.hAPP @t481 (tptp.hAPP @t221 @t323))) @t325))) % 0.33/0.95 (assume @p401 (forall (@list @t2 @t9 @t482) (or (tptp.hBOOL (tptp.hAPP @t481 (tptp.hAPP @t484 @t9))) @t483))) % 0.33/0.95 (assume @p402 (forall (@list @t2 @t9 @t482 @t323) (or (tptp.hBOOL (tptp.hAPP @t481 (tptp.hAPP @t484 @t323))) @t325 @t483))) % 0.33/0.95 (assume @p403 (forall (@list @t9 @t2) (= (tptp.c_Lambda_Osubstn @t9 @t2 @t79) (tptp.hAPP @t249 @t79)))) % 0.33/0.95 (assume @p404 (forall @t487 (or (tptp.hBOOL (tptp.hAPP @t276 @t486)) @t485))) % 0.33/0.95 (assume @p405 (forall (@list @t2 @t482) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t420) (tptp.c_Lambda_OdB_OAbs @t482))) @t483))) % 0.33/0.95 (assume @p406 (forall (@list @t2 @t5) (or (= @t2 (tptp.c_Lambda_OdB_OAbs @t486)) @t485))) % 0.33/0.95 (assume @p407 (forall @t487 (= @t6 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t6 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.33/0.95 (assume @p408 (forall @t490 (or @t489 @t60))) % 0.33/0.95 (assume @p409 (forall @t490 (or @t489 @t491))) % 0.33/0.95 (assume @p410 (forall (@list @t5 @t2 @t9) (or (not (= @t6 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t6 @t9)))) % 0.33/0.95 (assume @p411 (forall @t475 (or @t474 (= @t470 @t2)))) % 0.33/0.95 (assume @p412 (forall @t493 (or @t492 @t415))) % 0.33/0.95 (assume @p413 (forall @t497 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t496) @t495)) @t415))) % 0.33/0.95 (assume @p414 (forall @t493 (or @t492 @t456))) % 0.33/0.95 (assume @p415 (forall @t436 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t499) @t7) @t34))) @t435 @t260 (not (tptp.c_Type_Otyping @t434 @t499 @t433))))) % 0.33/0.95 (assume @p416 (forall @t502 (or (not (tptp.hBOOL (tptp.hAPP @t402 @t501))) (not (tptp.hBOOL (tptp.hAPP @t402 @t2))) (tptp.hBOOL (tptp.hAPP @t402 @t500))))) % 0.33/0.95 (assume @p417 (forall @t504 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t503) @t473)) @t415))) % 0.33/0.95 (assume @p418 (forall (@list @t5 @t240 @t471) (or (tptp.hBOOL (tptp.hAPP @t266 @t503)) (not (tptp.hBOOL (tptp.hAPP @t279 @t471)))))) % 0.33/0.95 (assume @p419 (forall @t502 (or @t505 @t472))) % 0.33/0.95 (assume @p420 (forall (@list @t21 @t8 @t5 @t471) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t241 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t463 @t471 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.33/0.95 (assume @p421 (forall @t405 (= @t463 @t506))) % 0.33/0.95 (assume @p422 (forall @t508 (or @t507 @t472))) % 0.33/0.95 (assume @p423 (forall @t405 (= @t506 @t463))) % 0.33/0.95 (assume @p424 (forall (@list @t2 @t9 @t21 @t471) (not (= @t509 @t488)))) % 0.33/0.95 (assume @p425 (forall @t502 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t500)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t2))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t501)))))) % 0.33/0.95 (assume @p426 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t499))) % 0.33/0.95 (assume @p427 (forall @t442 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t441) @t2) @t27) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t249 @t27)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t7) @t2) @t27))))) % 0.33/0.95 (assume @p428 (forall (@list @t361 @t360 @t457) (not (= @t363 @t458)))) % 0.33/0.95 (assume @p429 (forall (@list @t457 @t361 @t360) (not (= @t458 @t363)))) % 0.33/0.95 (assume @p430 (forall @t508 (or @t507 (= @t2 @t463)))) % 0.33/0.95 (assume @p431 (forall @t512 (or @t511 @t510))) % 0.33/0.95 (assume @p432 (forall @t512 (or @t511 @t491))) % 0.33/0.95 (assume @p433 (forall @t514 (or @t513 (= @t361 @t365)))) % 0.33/0.95 (assume @p434 (forall @t514 (or @t513 (= @t360 @t364)))) % 0.33/0.95 (assume @p435 (forall @t515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t509) (tptp.hAPP @t494 @t79))))) % 0.33/0.95 (assume @p436 (forall @t504 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t503) @t473)) @t456))) % 0.33/0.95 (assume @p437 (forall (@list @t459 @t457) (or (not (= @t461 @t458)) (= @t459 @t457)))) % 0.33/0.95 (assume @p438 (forall @t497 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t496) @t495)) @t456))) % 0.33/0.95 (assume @p439 (forall @t502 (or @t505 (= @t463 @t2)))) % 0.33/0.95 (assume @p440 (forall (@list @t5 @t8 @t2) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t5 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t2 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t510))) % 0.33/0.95 (assume @p441 (forall @t451 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t517 @t2)) (tptp.hAPP @t517 @t9))) @t516))) % 0.33/0.95 (assume @p442 (forall (@list @t2 @t7 @t9) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t221 @t7)) @t441)) @t516))) % 0.33/0.95 (assume @p443 (forall @t515 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t420) @t253)) @t516))) % 0.33/0.95 (assume @p444 (not @t518)) % 0.33/0.95 (assume @p445 (forall @t522 (or (tptp.class_Orderings_Opreorder @t521) (not (tptp.class_Orderings_Opreorder @t519))))) % 0.33/0.95 (assume @p446 (forall @t522 (or (tptp.class_Orderings_Oorder @t521) (not (tptp.class_Orderings_Oorder @t519))))) % 0.33/0.95 (assume @p447 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.33/0.95 (assume @p448 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.33/0.95 (assume @p449 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.33/0.95 (assume @p450 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.33/0.95 (assume @p451 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.33/0.95 (assume @p452 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.33/0.95 (assume @p453 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.33/0.95 (assume @p454 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.33/0.95 (assume @p455 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.33/0.95 (assume @p456 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.33/0.95 (assume @p457 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.33/0.95 (assume @p458 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.33/0.95 (assume @p459 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.33/0.95 (assume @p460 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.33/0.95 (assume @p461 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.33/0.95 (assume @p462 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.33/0.95 (assume @p463 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.33/0.95 (assume @p464 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.33/0.95 (assume @p465 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.33/0.95 (assume @p466 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.33/0.95 (assume @p467 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.33/0.95 (assume @p468 (tptp.class_Power_Opower tptp.tc_nat)) % 0.33/0.95 (assume @p469 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.33/0.95 (assume @p470 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.33/0.95 (assume @p471 (forall @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t414 @t11) @t11)))) % 0.33/0.95 (assume @p472 (forall (@list @t524 @t523 @t13) (or (= @t524 @t523) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t414 @t524) @t523)))))) % 0.33/0.95 (step @p473 :rule instantiate :premises (@p435) :args ((@list tptp.v_r____ tptp.v_a____))) % 0.33/0.95 (step @p474 :rule instantiate :premises (@p436) :args ((@list @t477 tptp.v_as____ @t498))) % 0.33/0.95 (step @p475 :rule cnf_or_pos :args (@t527)) % 0.33/0.95 (step @p476 :rule reordering :premises (@p475) :args ((or @t518 @t526 (not @t527)))) % 0.33/0.95 (step @p477 false :rule chain_m_resolution :premises (@p476 @p474 @p473 @p444) :args (false (@list false false true) (@list @t527 @t525 @t518))) % 0.33/0.95 ) % 0.33/0.95 % SZS output end Proof % 0.33/0.95 % cvc5 exiting %------------------------------------------------------------------------------