%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 11:23:50 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.81s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n001.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 18:24:17 UTC 2026 % 0.09/0.36 % CPUTime : % 0.20/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.81 % SZS status Unsatisfiable % 0.28/0.81 % SZS output start Proof % 0.28/0.84 ( % 0.28/0.84 (declare-sort $$unsorted 0) % 0.28/0.84 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_a____ $$unsorted) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_T_H____ $$unsorted) % 0.28/0.84 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_ea______ $$unsorted) % 0.28/0.84 (declare-const tptp.v_ia______ $$unsorted) % 0.28/0.84 (declare-const tptp.v_rs____ $$unsorted) % 0.28/0.84 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.28/0.84 (declare-const tptp.v_i____ $$unsorted) % 0.28/0.84 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_e____ $$unsorted) % 0.28/0.84 (declare-const tptp.v_T____ $$unsorted) % 0.28/0.84 (declare-const tptp.v_as____ $$unsorted) % 0.28/0.84 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.28/0.84 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.tc_bool $$unsorted) % 0.28/0.84 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_n____ $$unsorted) % 0.28/0.84 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.28/0.84 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_u____ $$unsorted) % 0.28/0.84 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.28/0.84 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.t_a $$unsorted) % 0.28/0.84 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.28/0.84 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.tc_nat $$unsorted) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 (-> $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.84 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.84 (declare-const tptp.v_ua______ $$unsorted) % 0.28/0.84 (define @t1 () (@var "T_a" $$unsorted)) % 0.28/0.84 (define @t2 () (@var "V_xs" $$unsorted)) % 0.28/0.84 (define @t3 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.28/0.84 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.28/0.84 (define @t5 () (tptp.c_List_Ofoldl @t4 @t3 @t2 @t1 @t1)) % 0.28/0.84 (define @t6 () (tptp.c_List_Olistsum @t2 @t1)) % 0.28/0.84 (define @t7 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.28/0.84 (define @t8 () (@list @t1 @t2)) % 0.28/0.84 (define @t9 () (tptp.c_List_Olist_ONil @t1)) % 0.28/0.84 (define @t10 () (= @t2 @t9)) % 0.28/0.84 (define @t11 () (tptp.tc_List_Olist @t1)) % 0.28/0.84 (define @t12 () (tptp.c_Nat_Osize__class_Osize @t2 @t11)) % 0.28/0.84 (define @t13 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.28/0.84 (define @t14 () (@list @t2 @t1)) % 0.28/0.84 (define @t15 () (@var "V_Ts" $$unsorted)) % 0.28/0.84 (define @t16 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.28/0.84 (define @t17 () (@var "V_t" $$unsorted)) % 0.28/0.84 (define @t18 () (@var "V_ts" $$unsorted)) % 0.28/0.84 (define @t19 () (@var "V_e" $$unsorted)) % 0.28/0.84 (define @t20 () (tptp.c_List_Orev @t2 @t1)) % 0.28/0.84 (define @t21 () (@var "V_ys" $$unsorted)) % 0.28/0.84 (define @t22 () (tptp.c_List_Orev @t21 @t1)) % 0.28/0.84 (define @t23 () (tptp.c_List_Oappend @t2 @t21 @t1)) % 0.28/0.84 (define @t24 () (@list @t2 @t21 @t1)) % 0.28/0.84 (define @t25 () (tptp.c_List_Orev @t9 @t1)) % 0.28/0.84 (define @t26 () (@list @t1)) % 0.28/0.84 (define @t27 () (@var "V_m" $$unsorted)) % 0.28/0.84 (define @t28 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.28/0.84 (define @t29 () (tptp.hAPP @t28 @t27)) % 0.28/0.84 (define @t30 () (@list @t27)) % 0.28/0.84 (define @t31 () (@var "V_n" $$unsorted)) % 0.28/0.84 (define @t32 () (tptp.hAPP @t28 @t13)) % 0.28/0.84 (define @t33 () (@list @t31)) % 0.28/0.84 (define @t34 () (@var "V_x" $$unsorted)) % 0.28/0.84 (define @t35 () (tptp.hAPP @t28 @t34)) % 0.28/0.84 (define @t36 () (@list @t34)) % 0.28/0.84 (define @t37 () (= @t27 @t13)) % 0.28/0.84 (define @t38 () (@var "V_y" $$unsorted)) % 0.28/0.84 (define @t39 () (= @t34 @t38)) % 0.28/0.84 (define @t40 () (tptp.c_List_Oreplicate @t27 @t34 @t1)) % 0.28/0.84 (define @t41 () (not (= @t40 (tptp.c_List_Oreplicate @t31 @t38 @t1)))) % 0.28/0.84 (define @t42 () (@list @t27 @t34 @t1 @t31 @t38)) % 0.28/0.84 (define @t43 () (tptp.c_List_Oreplicate @t13 @t34 @t1)) % 0.28/0.84 (define @t44 () (= @t31 @t13)) % 0.28/0.84 (define @t45 () (tptp.c_List_Oreplicate @t31 @t34 @t1)) % 0.28/0.84 (define @t46 () (@list @t31 @t34 @t1)) % 0.28/0.84 (define @t47 () (= @t27 @t31)) % 0.28/0.84 (define @t48 () (@var "V_k" $$unsorted)) % 0.28/0.84 (define @t49 () (tptp.hAPP @t28 @t48)) % 0.28/0.84 (define @t50 () (tptp.hAPP @t49 @t31)) % 0.28/0.84 (define @t51 () (tptp.hAPP @t49 @t27)) % 0.28/0.84 (define @t52 () (@list @t48 @t27 @t31)) % 0.28/0.84 (define @t53 () (tptp.hAPP @t28 @t31)) % 0.28/0.84 (define @t54 () (tptp.hAPP @t53 @t48)) % 0.28/0.84 (define @t55 () (@var "V_z" $$unsorted)) % 0.28/0.84 (define @t56 () (= @t38 @t55)) % 0.28/0.84 (define @t57 () (tptp.hAPP @t35 @t55)) % 0.28/0.84 (define @t58 () (@list @t34 @t38 @t55)) % 0.28/0.84 (define @t59 () (@var "V_r" $$unsorted)) % 0.28/0.84 (define @t60 () (tptp.c_Transitive__Closure_Ortranclp @t59 @t1)) % 0.28/0.84 (define @t61 () (tptp.hAPP @t60 @t38)) % 0.28/0.84 (define @t62 () (tptp.hBOOL (tptp.hAPP @t61 @t34))) % 0.28/0.84 (define @t63 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t59 @t1 @t1) @t1) @t34) @t38))) % 0.28/0.84 (define @t64 () (@list @t59 @t1 @t34 @t38)) % 0.28/0.84 (define @t65 () (@var "V_b" $$unsorted)) % 0.28/0.84 (define @t66 () (@var "V_a" $$unsorted)) % 0.28/0.84 (define @t67 () (@var "T_b" $$unsorted)) % 0.28/0.84 (define @t68 () (tptp.c_Predicate_Oconversep @t59 @t1 @t67)) % 0.28/0.84 (define @t69 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t66) @t65))) % 0.28/0.84 (define @t70 () (tptp.hAPP @t59 @t65)) % 0.28/0.84 (define @t71 () (tptp.hBOOL (tptp.hAPP @t70 @t66))) % 0.28/0.84 (define @t72 () (@var "V_a2" $$unsorted)) % 0.28/0.84 (define @t73 () (@var "V_a1" $$unsorted)) % 0.28/0.84 (define @t74 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t66) @t65)))) % 0.28/0.84 (define @t75 () (tptp.hAPP @t29 @t31)) % 0.28/0.84 (define @t76 () (@list @t27 @t31 @t48)) % 0.28/0.84 (define @t77 () (tptp.hAPP @t28 @t38)) % 0.28/0.84 (define @t78 () (tptp.hAPP @t77 @t55)) % 0.28/0.84 (define @t79 () (tptp.c_Wellfounded_Oaccp @t59 @t66 @t1)) % 0.28/0.84 (define @t80 () (not @t79)) % 0.28/0.84 (define @t81 () (tptp.hAPP @t60 @t65)) % 0.28/0.84 (define @t82 () (not (tptp.hBOOL (tptp.hAPP @t81 @t66)))) % 0.28/0.84 (define @t83 () (tptp.c_Wellfounded_Oaccp @t59 @t65 @t1)) % 0.28/0.84 (define @t84 () (@list @t59 @t65 @t1 @t66)) % 0.28/0.84 (define @t85 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t17)))) % 0.28/0.84 (define @t86 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.84 (define @t87 () (@list @t17)) % 0.28/0.84 (define @t88 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t59))) % 0.28/0.84 (define @t89 () (@list @t59)) % 0.28/0.84 (define @t90 () (tptp.c_List_Orotate1 @t2 @t1)) % 0.28/0.84 (define @t91 () (tptp.c_List_Orev @t20 @t1)) % 0.28/0.84 (define @t92 () (@list @t21 @t1)) % 0.28/0.84 (define @t93 () (tptp.c_HOL_Oord__class_Oless @t34 @t38 tptp.tc_nat)) % 0.28/0.84 (define @t94 () (tptp.c_HOL_Oord__class_Oless @t34 @t78 tptp.tc_nat)) % 0.28/0.84 (define @t95 () (@var "V_j" $$unsorted)) % 0.28/0.84 (define @t96 () (@var "V_i" $$unsorted)) % 0.28/0.84 (define @t97 () (tptp.hAPP @t28 @t96)) % 0.28/0.84 (define @t98 () (tptp.hAPP @t97 @t95)) % 0.28/0.84 (define @t99 () (tptp.c_HOL_Oord__class_Oless @t96 @t48 tptp.tc_nat)) % 0.28/0.84 (define @t100 () (@list @t96 @t48 @t95)) % 0.28/0.84 (define @t101 () (not (tptp.c_HOL_Oord__class_Oless @t96 @t95 tptp.tc_nat))) % 0.28/0.84 (define @t102 () (tptp.hAPP @t28 @t95)) % 0.28/0.84 (define @t103 () (tptp.hAPP @t53 @t27)) % 0.28/0.84 (define @t104 () (@list @t27 @t31)) % 0.28/0.84 (define @t105 () (tptp.c_HOL_Oord__class_Oless @t27 @t31 tptp.tc_nat)) % 0.28/0.84 (define @t106 () (@var "V_l" $$unsorted)) % 0.28/0.84 (define @t107 () (not (tptp.c_HOL_Oord__class_Oless @t48 @t106 tptp.tc_nat))) % 0.28/0.84 (define @t108 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t31 @t1)) % 0.28/0.85 (define @t109 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t27 @t1)) % 0.28/0.85 (define @t110 () (@list @t1 @t27 @t31)) % 0.28/0.85 (define @t111 () (not (= @t75 @t13))) % 0.28/0.85 (define @t112 () (tptp.c_fequal @t1)) % 0.28/0.85 (define @t113 () (tptp.c_List_Oreplicate @t48 @t34 @t1)) % 0.28/0.85 (define @t114 () (tptp.hAPP @t97 @t48)) % 0.28/0.85 (define @t115 () (= @t2 @t21)) % 0.28/0.85 (define @t116 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.28/0.85 (define @t117 () (tptp.c_HOL_Oord__class_Oless @t51 @t50 tptp.tc_nat)) % 0.28/0.85 (define @t118 () (not @t105)) % 0.28/0.85 (define @t119 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.28/0.85 (define @t120 () (tptp.hAPP @t59 @t38)) % 0.28/0.85 (define @t121 () (tptp.c_List_Olast @t2 @t1)) % 0.28/0.85 (define @t122 () (tptp.c_List_Obutlast @t2 @t1)) % 0.28/0.85 (define @t123 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.28/0.85 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t109 @t108 @t1)) % 0.28/0.85 (define @t125 () (tptp.hAPP @t4 @t34)) % 0.28/0.85 (define @t126 () (tptp.c_List_Olist_OCons @t34 @t2 @t1)) % 0.28/0.85 (define @t127 () (@list @t1 @t34 @t2)) % 0.28/0.85 (define @t128 () (tptp.c_HOL_Oord__class_Oless @t13 @t27 tptp.tc_nat)) % 0.28/0.85 (define @t129 () (tptp.c_HOL_Oord__class_Oless @t13 @t75 tptp.tc_nat)) % 0.28/0.85 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t13 @t31 tptp.tc_nat)) % 0.28/0.85 (define @t131 () (not @t130)) % 0.28/0.85 (define @t132 () (@list @t31 @t27)) % 0.28/0.85 (define @t133 () (@list @t34 @t1)) % 0.28/0.85 (define @t134 () (tptp.c_Nat_Osize__class_Osize @t9 @t11)) % 0.28/0.85 (define @t135 () (@list @t1 @t34)) % 0.28/0.85 (define @t136 () (@list @t1 @t2 @t21)) % 0.28/0.85 (define @t137 () (tptp.c_List_Olist_OCons @t34 @t9 @t1)) % 0.28/0.85 (define @t138 () (tptp.c_List_Orev @t137 @t1)) % 0.28/0.85 (define @t139 () (@list @t34 @t2 @t1)) % 0.28/0.85 (define @t140 () (= @t2 @t137)) % 0.28/0.85 (define @t141 () (@var "V_zs" $$unsorted)) % 0.28/0.85 (define @t142 () (= @t141 @t126)) % 0.28/0.85 (define @t143 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t34 @t2 @t21 @t141 @t1)) % 0.28/0.85 (define @t144 () (= (tptp.c_List_Oappend @t143 @t141 @t1) @t2)) % 0.28/0.85 (define @t145 () (tptp.c_List_Oappend @t21 @t141 @t1)) % 0.28/0.85 (define @t146 () (not (= @t145 @t126))) % 0.28/0.85 (define @t147 () (@list @t21 @t141 @t1 @t34 @t2)) % 0.28/0.85 (define @t148 () (= @t126 @t141)) % 0.28/0.85 (define @t149 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t34 @t2 @t21 @t141 @t1)) % 0.28/0.85 (define @t150 () (= (tptp.c_List_Olist_OCons @t34 @t149 @t1) @t21)) % 0.28/0.85 (define @t151 () (not (= @t126 @t145))) % 0.28/0.85 (define @t152 () (@list @t34 @t2 @t1 @t21 @t141)) % 0.28/0.85 (define @t153 () (= @t21 (tptp.c_List_Olist_OCons @t34 @t143 @t1))) % 0.28/0.85 (define @t154 () (= @t2 (tptp.c_List_Oappend @t149 @t141 @t1))) % 0.28/0.85 (define @t155 () (tptp.c_List_Oappend @t2 @t9 @t1)) % 0.28/0.85 (define @t156 () (= @t21 @t9)) % 0.28/0.85 (define @t157 () (tptp.c_List_Oappend @t2 @t137 @t1)) % 0.28/0.85 (define @t158 () (@list @t2 @t34 @t1)) % 0.28/0.85 (define @t159 () (tptp.c_List_Olist_OCons @t38 @t9 @t1)) % 0.28/0.85 (define @t160 () (tptp.c_List_Oappend @t22 @t159 @t1)) % 0.28/0.85 (define @t161 () (tptp.c_List_Olist_OCons @t38 @t21 @t1)) % 0.28/0.85 (define @t162 () (tptp.c_List_Olist_ONil @t67)) % 0.28/0.85 (define @t163 () (tptp.c_List_Olist_OCons @t34 @t2 @t67)) % 0.28/0.85 (define @t164 () (tptp.c_List_Oreplicate @t96 @t34 @t1)) % 0.28/0.85 (define @t165 () (@var "V_ss" $$unsorted)) % 0.28/0.85 (define @t166 () (@var "V_s" $$unsorted)) % 0.28/0.85 (define @t167 () (tptp.c_Lambda_OdB_OAbs @t59)) % 0.28/0.85 (define @t168 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t167) @t166) @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t169 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t59 @t166 @t13) @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t170 () (@list @t59 @t166 @t165)) % 0.28/0.85 (define @t171 () (tptp.c_List_Ofoldr @t4 @t2 @t3 @t1 @t1)) % 0.28/0.85 (define @t172 () (tptp.c_Lambda_OdB_OVar @t96)) % 0.28/0.85 (define @t173 () (tptp.c_Lambda_Oliftn @t31 @t172 @t48)) % 0.28/0.85 (define @t174 () (@list @t31 @t96 @t48)) % 0.28/0.85 (define @t175 () (tptp.c_HOL_Oord__class_Oless @t3 @t108 @t1)) % 0.28/0.85 (define @t176 () (@list @t1 @t31)) % 0.28/0.85 (define @t177 () (tptp.c_List_Olist_OCons @t166 @t16 tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t178 () (tptp.c_List_Oappend @t34 @t177 tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t179 () (@var "V_u" $$unsorted)) % 0.28/0.85 (define @t180 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t18 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t181 () (@var "V_xa" $$unsorted)) % 0.28/0.85 (define @t182 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t59) @t166)) % 0.28/0.85 (define @t183 () (= @t18 @t16)) % 0.28/0.85 (define @t184 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t59 @t166 @t17 @t18)) % 0.28/0.85 (define @t185 () (not (= @t182 @t180))) % 0.28/0.85 (define @t186 () (@list @t59 @t166 @t17 @t18)) % 0.28/0.85 (define @t187 () (@var "V_P" $$unsorted)) % 0.28/0.85 (define @t188 () (tptp.hBOOL (tptp.hAPP @t187 @t17))) % 0.28/0.85 (define @t189 () (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 @t187)) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 @t187) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.85 (define @t190 () (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 @t187)) % 0.28/0.85 (define @t191 () (@list @t187 @t17)) % 0.28/0.85 (define @t192 () (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 @t187)) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 @t187) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.85 (define @t193 () (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 @t187)) % 0.28/0.85 (define @t194 () (= @t21 @t141)) % 0.28/0.85 (define @t195 () (@list @t2 @t21 @t1 @t141)) % 0.28/0.85 (define @t196 () (@var "V_A" $$unsorted)) % 0.28/0.85 (define @t197 () (not (tptp.c_ListOrder_Ostep1 @t59 @t161 @t126 @t1))) % 0.28/0.85 (define @t198 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t59) @t166)))) % 0.28/0.85 (define @t199 () (tptp.c_Lambda_Osubst @t166 @t17 @t96)) % 0.28/0.85 (define @t200 () (tptp.c_Lambda_Osubst @t59 @t17 @t96)) % 0.28/0.85 (define @t201 () (@list @t59 @t17 @t96 @t166)) % 0.28/0.85 (define @t202 () (@var "V_dB" $$unsorted)) % 0.28/0.85 (define @t203 () (@var "V_f3" $$unsorted)) % 0.28/0.85 (define @t204 () (tptp.hAPP @t203 @t202)) % 0.28/0.85 (define @t205 () (tptp.c_Lambda_OdB_OAbs @t202)) % 0.28/0.85 (define @t206 () (@var "V_f2" $$unsorted)) % 0.28/0.85 (define @t207 () (@var "V_f1" $$unsorted)) % 0.28/0.85 (define @t208 () (@list @t207 @t206 @t203 @t202 @t1)) % 0.28/0.85 (define @t209 () (tptp.c_List_Olistsp @t196 @t23 @t1)) % 0.28/0.85 (define @t210 () (not @t209)) % 0.28/0.85 (define @t211 () (tptp.c_List_Olistsp @t196 @t21 @t1)) % 0.28/0.85 (define @t212 () (tptp.c_List_Olistsp @t196 @t2 @t1)) % 0.28/0.85 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t48 @t96 tptp.tc_nat)) % 0.28/0.85 (define @t214 () (= @t96 @t48)) % 0.28/0.85 (define @t215 () (@list @t96 @t166 @t48)) % 0.28/0.85 (define @t216 () (@var "V_s_H" $$unsorted)) % 0.28/0.85 (define @t217 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t218 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t166) @t216)))) % 0.28/0.85 (define @t219 () (tptp.c_Lambda_OdB_OAbs @t166)) % 0.28/0.85 (define @t220 () (@var "V_us" $$unsorted)) % 0.28/0.85 (define @t221 () (@var "V_vs" $$unsorted)) % 0.28/0.85 (define @t222 () (tptp.c_List_Oappend @t2 @t34 @t1)) % 0.28/0.85 (define @t223 () (tptp.c_ListOrder_Ostep1 @t59 @t21 @t2 @t1)) % 0.28/0.85 (define @t224 () (not @t223)) % 0.28/0.85 (define @t225 () (tptp.hAPP @t4 @t3)) % 0.28/0.85 (define @t226 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.28/0.85 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t34 @t38 @t1)) % 0.28/0.85 (define @t228 () (not @t227)) % 0.28/0.85 (define @t229 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.28/0.85 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t38 @t34 @t1)) % 0.28/0.85 (define @t231 () (not @t230)) % 0.28/0.85 (define @t232 () (not (tptp.class_Orderings_Oorder @t1))) % 0.28/0.85 (define @t233 () (tptp.hAPP @t125 @t38)) % 0.28/0.85 (define @t234 () (tptp.hAPP @t4 @t38)) % 0.28/0.85 (define @t235 () (tptp.hAPP @t125 (tptp.hAPP @t234 @t55))) % 0.28/0.85 (define @t236 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.28/0.85 (define @t237 () (@list @t1 @t34 @t38 @t55)) % 0.28/0.85 (define @t238 () (tptp.hAPP @t125 @t55)) % 0.28/0.85 (define @t239 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.28/0.85 (define @t240 () (@var "V_c" $$unsorted)) % 0.28/0.85 (define @t241 () (tptp.hAPP @t4 @t65)) % 0.28/0.85 (define @t242 () (tptp.hAPP @t241 @t240)) % 0.28/0.85 (define @t243 () (tptp.hAPP @t4 @t66)) % 0.28/0.85 (define @t244 () (tptp.hAPP @t243 @t242)) % 0.28/0.85 (define @t245 () (tptp.hAPP @t243 @t65)) % 0.28/0.85 (define @t246 () (tptp.hAPP @t4 @t245)) % 0.28/0.85 (define @t247 () (tptp.hAPP @t246 @t240)) % 0.28/0.85 (define @t248 () (= @t247 @t244)) % 0.28/0.85 (define @t249 () (@list @t1 @t66 @t65 @t240)) % 0.28/0.85 (define @t250 () (tptp.hAPP @t243 @t240)) % 0.28/0.85 (define @t251 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.28/0.85 (define @t252 () (@var "V_d" $$unsorted)) % 0.28/0.85 (define @t253 () (tptp.hAPP @t4 @t250)) % 0.28/0.85 (define @t254 () (tptp.hAPP @t4 @t240)) % 0.28/0.85 (define @t255 () (tptp.hAPP @t254 @t252)) % 0.28/0.85 (define @t256 () (tptp.hAPP @t243 @t255)) % 0.28/0.85 (define @t257 () (@list @t1 @t66 @t240 @t252)) % 0.28/0.85 (define @t258 () (tptp.c_Lambda_OdB_OVar @t34)) % 0.28/0.85 (define @t259 () (tptp.c_HOL_Oord__class_Oless @t34 @t34 tptp.tc_nat)) % 0.28/0.85 (define @t260 () (@list @t34 @t166)) % 0.28/0.85 (define @t261 () (@var "V_f" $$unsorted)) % 0.28/0.85 (define @t262 () (tptp.c_List_Oappend @t21 @t159 @t1)) % 0.28/0.85 (define @t263 () (not (tptp.c_ListOrder_Ostep1 @t59 @t262 @t157 @t1))) % 0.28/0.85 (define @t264 () (tptp.hBOOL (tptp.hAPP @t120 @t34))) % 0.28/0.85 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t66 @t3 @t1)) % 0.28/0.85 (define @t266 () (not @t265)) % 0.28/0.85 (define @t267 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.28/0.85 (define @t268 () (@list @t1 @t66 @t65)) % 0.28/0.85 (define @t269 () (tptp.c_List_Olist_OCons @t34 (tptp.c_List_Oappend @t181 @t141 @t1) @t1)) % 0.28/0.85 (define @t270 () (tptp.c_List_Olist_OCons @t34 @t181 @t1)) % 0.28/0.85 (define @t271 () (tptp.c_List_Oappend @t270 @t141 @t1)) % 0.28/0.85 (define @t272 () (@var "V_t_H" $$unsorted)) % 0.28/0.85 (define @t273 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t17) @t272)))) % 0.28/0.85 (define @t274 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t166)) % 0.28/0.85 (define @t275 () (tptp.hAPP @t274 @t17)) % 0.28/0.85 (define @t276 () (tptp.hAPP @t217 @t275)) % 0.28/0.85 (define @t277 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t216)) % 0.28/0.85 (define @t278 () (tptp.c_List_Ofoldl @t4 @t66 @t2 @t1 @t1)) % 0.28/0.85 (define @t279 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.28/0.85 (define @t280 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.28/0.85 (define @t281 () (= @t65 @t240)) % 0.28/0.85 (define @t282 () (not (= @t245 @t250))) % 0.28/0.85 (define @t283 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.28/0.85 (define @t284 () (tptp.hAPP @t254 @t66)) % 0.28/0.85 (define @t285 () (tptp.hAPP @t241 @t66)) % 0.28/0.85 (define @t286 () (@list @t1 @t65 @t66 @t240)) % 0.28/0.85 (define @t287 () (@var "V_xs1" $$unsorted)) % 0.28/0.85 (define @t288 () (@var "V_list_H" $$unsorted)) % 0.28/0.85 (define @t289 () (@var "V_a_H" $$unsorted)) % 0.28/0.85 (define @t290 () (tptp.c_List_Olist_OCons @t289 @t288 @t1)) % 0.28/0.85 (define @t291 () (not @t88)) % 0.28/0.85 (define @t292 () (tptp.hAPP @t241 @t252)) % 0.28/0.85 (define @t293 () (not @t99)) % 0.28/0.85 (define @t294 () (@var "V_T" $$unsorted)) % 0.28/0.85 (define @t295 () (not (tptp.c_Type_Otyping @t19 @t17 @t294))) % 0.28/0.85 (define @t296 () (tptp.c_Type_Otyping @t19 @t272 @t294)) % 0.28/0.85 (define @t297 () (@list @t19 @t272 @t294 @t17)) % 0.28/0.85 (define @t298 () (tptp.c_Lambda_Olift @t17 @t48)) % 0.28/0.85 (define @t299 () (tptp.c_Lambda_Olift @t166 @t96)) % 0.28/0.85 (define @t300 () (tptp.c_Lambda_Olift @t59 @t96)) % 0.28/0.85 (define @t301 () (@list @t59 @t96 @t166)) % 0.28/0.85 (define @t302 () (tptp.c_List_Oappend @t9 @t126 @t1)) % 0.28/0.85 (define @t303 () (= @t21 @t2)) % 0.28/0.85 (define @t304 () (tptp.c_List_Oappend @t9 @t9 @t1)) % 0.28/0.85 (define @t305 () (= (tptp.hAPP @t225 @t66) @t66)) % 0.28/0.85 (define @t306 () (@list @t1 @t66)) % 0.28/0.85 (define @t307 () (= (tptp.hAPP @t243 @t3) @t66)) % 0.28/0.85 (define @t308 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t166) @t17)))) % 0.28/0.85 (define @t309 () (tptp.c_Lambda_OdB_OAbs @t17)) % 0.28/0.85 (define @t310 () (@list @t166 @t17)) % 0.28/0.85 (define @t311 () (@var "V_plus" $$unsorted)) % 0.28/0.85 (define @t312 () (@var "V_zero" $$unsorted)) % 0.28/0.85 (define @t313 () (not (tptp.c_OrderedGroup_Omonoid__add @t312 @t311 @t1))) % 0.28/0.85 (define @t314 () (tptp.hAPP @t311 @t66)) % 0.28/0.85 (define @t315 () (tptp.hAPP @t243 @t66)) % 0.28/0.85 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t3 @t315 @t1)) % 0.28/0.85 (define @t317 () (tptp.c_HOL_Oord__class_Oless @t3 @t66 @t1)) % 0.28/0.85 (define @t318 () (not @t317)) % 0.28/0.85 (define @t319 () (tptp.hAPP @t60 @t66)) % 0.28/0.85 (define @t320 () (tptp.hAPP @t60 @t34)) % 0.28/0.85 (define @t321 () (tptp.hBOOL (tptp.hAPP @t320 @t38))) % 0.28/0.85 (define @t322 () (tptp.c_List_Oappend @t9 @t21 @t1)) % 0.28/0.85 (define @t323 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 (tptp.c_Lambda_Osubst @t17 @t59 @t96)) (tptp.c_Lambda_Osubst @t17 @t166 @t96)))) % 0.28/0.85 (define @t324 () (@list @t17 @t59 @t96 @t166)) % 0.28/0.85 (define @t325 () (@list @t1 @t34 @t38)) % 0.28/0.85 (define @t326 () (tptp.c_List_Oappend @t2 @t21 @t67)) % 0.28/0.85 (define @t327 () (= @t38 @t34)) % 0.28/0.85 (define @t328 () (= @t66 @t3)) % 0.28/0.85 (define @t329 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t59) @t166)))) % 0.28/0.85 (define @t330 () (tptp.c_HOL_Oord__class_Oless @t315 @t3 @t1)) % 0.28/0.85 (define @t331 () (not @t330)) % 0.28/0.85 (define @t332 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.28/0.85 (define @t333 () (tptp.c_Lambda_Olift @t17 @t96)) % 0.28/0.85 (define @t334 () (@list @t17 @t96)) % 0.28/0.85 (define @t335 () (not (= @t9 @t23))) % 0.28/0.85 (define @t336 () (@var "V_dB_H" $$unsorted)) % 0.28/0.85 (define @t337 () (tptp.c_Lambda_OdB_OAbs @t336)) % 0.28/0.85 (define @t338 () (not (= @t23 @t9))) % 0.28/0.85 (define @t339 () (not (tptp.c_HOL_Oord__class_Oless @t34 @t34 @t1))) % 0.28/0.85 (define @t340 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.28/0.85 (define @t341 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t219) @t17)) % 0.28/0.85 (define @t342 () (@list @t59 @t21 @t2 @t1 @t38 @t34)) % 0.28/0.85 (define @t343 () (not (tptp.c_OrderedGroup_Osemigroup__add @t311 @t1))) % 0.28/0.85 (define @t344 () (@list @t1 @t38 @t34)) % 0.28/0.85 (define @t345 () (tptp.c_HOL_Oord__class_Oless @t31 @t27 tptp.tc_nat)) % 0.28/0.85 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t66 @t65 @t1)) % 0.28/0.85 (define @t347 () (not @t346)) % 0.28/0.85 (define @t348 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.28/0.85 (define @t349 () (not (tptp.class_OrderedGroup_Osemigroup__add @t1))) % 0.28/0.85 (define @t350 () (not (tptp.c_HOL_Oord__class_Oless @t95 @t96 tptp.tc_nat))) % 0.28/0.85 (define @t351 () (tptp.c_Lambda_OdB_OVar @t95)) % 0.28/0.85 (define @t352 () (@var "V_type2_H" $$unsorted)) % 0.28/0.85 (define @t353 () (@var "V_type2" $$unsorted)) % 0.28/0.85 (define @t354 () (@var "V_type1_H" $$unsorted)) % 0.28/0.85 (define @t355 () (@var "V_type1" $$unsorted)) % 0.28/0.85 (define @t356 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t355) @t353) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t354) @t352)))) % 0.28/0.85 (define @t357 () (@list @t355 @t353 @t354 @t352)) % 0.28/0.85 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t250 @t242 @t1)) % 0.28/0.85 (define @t359 () (@list @t1 @t66 @t240 @t65)) % 0.28/0.85 (define @t360 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.28/0.85 (define @t361 () (tptp.c_HOL_Oord__class_Oless @t284 (tptp.hAPP @t254 @t65) @t1)) % 0.28/0.85 (define @t362 () (@list @t1 @t240 @t66 @t65)) % 0.28/0.85 (define @t363 () (@var "V_list" $$unsorted)) % 0.28/0.85 (define @t364 () (not (= (tptp.c_List_Olist_OCons @t66 @t363 @t1) @t290))) % 0.28/0.85 (define @t365 () (@list @t66 @t363 @t1 @t289 @t288)) % 0.28/0.85 (define @t366 () (not (= @t157 @t262))) % 0.28/0.85 (define @t367 () (@list @t2 @t34 @t1 @t21 @t38)) % 0.28/0.85 (define @t368 () (not (tptp.c_HOL_Oord__class_Oless @t65 @t66 @t1))) % 0.28/0.85 (define @t369 () (tptp.hBOOL (tptp.hAPP @t319 @t240))) % 0.28/0.85 (define @t370 () (@list @t59 @t1 @t66 @t240 @t65)) % 0.28/0.85 (define @t371 () (@var "V_U" $$unsorted)) % 0.28/0.85 (define @t372 () (tptp.hAPP @t311 @t34)) % 0.28/0.85 (define @t373 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t17)) % 0.28/0.85 (define @t374 () (tptp.hAPP @t373 @t179)) % 0.28/0.85 (define @t375 () (@list @t17 @t179 @t166 @t48)) % 0.28/0.85 (define @t376 () (@var "V_nat" $$unsorted)) % 0.28/0.85 (define @t377 () (tptp.c_Lambda_OdB_OVar @t376)) % 0.28/0.85 (define @t378 () (@var "V_dB2" $$unsorted)) % 0.28/0.85 (define @t379 () (@var "V_dB1" $$unsorted)) % 0.28/0.85 (define @t380 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t379) @t378)) % 0.28/0.85 (define @t381 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t172 @t18 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t382 () (not (tptp.c_Type_Otyping @t19 @t381 @t294))) % 0.28/0.85 (define @t383 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t294 @t19 @t96 @t18)) % 0.28/0.85 (define @t384 () (@var "V_nat_H" $$unsorted)) % 0.28/0.85 (define @t385 () (@var "V_xd" $$unsorted)) % 0.28/0.85 (define @t386 () (tptp.hAPP @t207 @t376)) % 0.28/0.85 (define @t387 () (tptp.c_Lambda_OdB_OVar @t31)) % 0.28/0.85 (define @t388 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t387 @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t389 () (@var "V_rs" $$unsorted)) % 0.28/0.85 (define @t390 () (tptp.c_Lambda_OdB_OVar @t27)) % 0.28/0.85 (define @t391 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t390 @t389 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t388))) % 0.28/0.85 (define @t392 () (@list @t27 @t389 @t31 @t165)) % 0.28/0.85 (define @t393 () (= @t389 @t165)) % 0.28/0.85 (define @t394 () (@var "V_xc" $$unsorted)) % 0.28/0.85 (define @t395 () (@var "V_xb" $$unsorted)) % 0.28/0.85 (define @t396 () (tptp.hAPP (tptp.hAPP @t206 @t379) @t378)) % 0.28/0.85 (define @t397 () (tptp.c_Type_Otyping @t19 @t180 @t294)) % 0.28/0.85 (define @t398 () (not @t397)) % 0.28/0.85 (define @t399 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t294 @t19 @t17 @t18)) % 0.28/0.85 (define @t400 () (@list @t19 @t18 @t294 @t17)) % 0.28/0.85 (define @t401 () (not (tptp.c_Type_Otyping @t19 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t381 @t220 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t294))) % 0.28/0.85 (define @t402 () (not (tptp.c_Type_Otypings @t19 @t18 @t15))) % 0.28/0.85 (define @t403 () (not (tptp.c_Type_Otyping @t19 @t381 @t371))) % 0.28/0.85 (define @t404 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t294 @t371 @t19 @t220)) % 0.28/0.85 (define @t405 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t166 @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t406 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t59 @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t407 () (@list @t59 @t165 @t166)) % 0.28/0.85 (define @t408 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t294) @t371)) % 0.28/0.85 (define @t409 () (@var "V_env" $$unsorted)) % 0.28/0.85 (define @t410 () (not (= @t405 @t167))) % 0.28/0.85 (define @t411 () (@list @t166 @t165 @t59)) % 0.28/0.85 (define @t412 () (= @t59 @t166)) % 0.28/0.85 (define @t413 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t167 @t389 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t219 @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.85 (define @t414 () (@list @t59 @t389 @t166 @t165)) % 0.28/0.85 (define @t415 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t387 @t389 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t416 () (@var "V_dB1_H" $$unsorted)) % 0.28/0.85 (define @t417 () (@var "V_dB2_H" $$unsorted)) % 0.28/0.85 (define @t418 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t416) @t417)) % 0.28/0.85 (define @t419 () (not (= @t380 @t418))) % 0.28/0.85 (define @t420 () (@list @t379 @t378 @t416 @t417)) % 0.28/0.85 (define @t421 () (not (= @t390 @t405))) % 0.28/0.85 (define @t422 () (@list @t27 @t166 @t165)) % 0.28/0.85 (define @t423 () (= @t165 @t16)) % 0.28/0.85 (define @t424 () (not (= @t167 @t405))) % 0.28/0.85 (define @t425 () (@list @t207 @t206 @t203 @t376 @t1)) % 0.28/0.85 (define @t426 () (@var "V_Ta" $$unsorted)) % 0.28/0.85 (define @t427 () (@var "V_T2" $$unsorted)) % 0.28/0.85 (define @t428 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t179)))) % 0.28/0.85 (define @t429 () (tptp.c_Lambda_Osubst @t17 @t179 @t96)) % 0.28/0.85 (define @t430 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t429))) % 0.28/0.85 (define @t431 () (@var "V_T1" $$unsorted)) % 0.28/0.85 (define @t432 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t431) @t427)))) % 0.28/0.85 (define @t433 () (@list @t431 @t427 @t17 @t179 @t96 @t19 @t426)) % 0.28/0.85 (define @t434 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.28/0.85 (define @t435 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t434 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t436 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t294 @t19 @t17 @t18)) % 0.28/0.85 (define @t437 () (@list @t19 @t17 @t294 @t18)) % 0.28/0.85 (define @t438 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.28/0.85 (define @t439 () (tptp.c_Type_Otyping @t438 @t435 tptp.v_T_H____)) % 0.28/0.85 (define @t440 () (@var "V_v" $$unsorted)) % 0.28/0.85 (define @t441 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t415) @t440)))) % 0.28/0.85 (define @t442 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t31 @t389 @t440)) % 0.28/0.85 (define @t443 () (@list @t207 @t206 @t203 @t379 @t378 @t1)) % 0.28/0.85 (define @t444 () (not (tptp.c_Type_Otyping @t19 @t374 @t294))) % 0.28/0.85 (define @t445 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t294 @t19 @t17 @t179)) % 0.28/0.85 (define @t446 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t167 @t16 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.85 (define @t447 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t179)) % 0.28/0.85 (define @t448 () (@var "V_e_H" $$unsorted)) % 0.28/0.85 (define @t449 () (@var "T_1" $$unsorted)) % 0.28/0.85 (define @t450 () (@var "T_2" $$unsorted)) % 0.28/0.85 (define @t451 () (tptp.tc_fun @t450 @t449)) % 0.28/0.85 (define @t452 () (@list @t450 @t449)) % 0.28/0.85 (define @t453 () (@var "V_Y" $$unsorted)) % 0.28/0.85 (define @t454 () (@var "V_X" $$unsorted)) % 0.28/0.85 (assume @p1 (forall @t8 (or @t7 (= @t6 @t5)))) % 0.28/0.85 (assume @p2 (forall @t14 (or (tptp.c_HOL_Oord__class_Oless @t13 @t12 tptp.tc_nat) @t10))) % 0.28/0.85 (assume @p3 (forall (@list @t19 @t17 @t15 @t18) (or (tptp.c_Type_Otyping @t19 @t17 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 @t15 @t19 @t17 @t18)) (not (tptp.c_Type_Otypings @t19 (tptp.c_List_Oappend @t18 (tptp.c_List_Olist_OCons @t17 @t16 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) @t15))))) % 0.28/0.85 (assume @p4 (forall @t24 (= (tptp.c_List_Orev @t23 @t1) (tptp.c_List_Oappend @t22 @t20 @t1)))) % 0.28/0.85 (assume @p5 (forall @t26 (= @t25 @t9))) % 0.28/0.85 (assume @p6 (forall @t30 (= (tptp.hAPP @t29 @t13) @t27))) % 0.28/0.85 (assume @p7 (forall @t33 (= (tptp.hAPP @t32 @t31) @t31))) % 0.28/0.85 (assume @p8 (forall @t36 (= @t34 (tptp.hAPP @t35 @t13)))) % 0.28/0.85 (assume @p9 (forall @t42 (or @t41 @t39 @t37))) % 0.28/0.85 (assume @p10 (forall @t14 (or (not (= @t20 @t9)) @t10))) % 0.28/0.85 (assume @p11 (forall (@list @t34 @t1 @t38) (= @t43 (tptp.c_List_Oreplicate @t13 @t38 @t1)))) % 0.28/0.85 (assume @p12 (forall @t46 (or (= (tptp.c_List_Olast @t45 @t1) @t34) @t44))) % 0.28/0.85 (assume @p13 (forall @t52 (or (not (= @t51 @t50)) @t47))) % 0.28/0.85 (assume @p14 (forall (@list @t27 @t48 @t31) (or (not (= (tptp.hAPP @t29 @t48) @t54)) @t47))) % 0.28/0.85 (assume @p15 (forall @t58 (or (not (= (tptp.hAPP @t35 @t38) @t57)) @t56))) % 0.28/0.85 (assume @p16 (forall @t64 (or @t63 (not @t62)))) % 0.28/0.85 (assume @p17 (forall (@list @t59 @t1 @t38 @t34) (or @t62 (not @t63)))) % 0.28/0.85 (assume @p18 (forall (@list @t59 @t65 @t66 @t1 @t67) (or @t71 (not @t69)))) % 0.28/0.85 (assume @p19 (forall (@list @t59 @t1 @t67 @t66 @t65) (or @t69 (not @t71)))) % 0.28/0.85 (assume @p20 (forall (@list @t59 @t72 @t73 @t1 @t67) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t72) @t73)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t73) @t72)))))) % 0.28/0.85 (assume @p21 (forall (@list @t59 @t1 @t67 @t65 @t66) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t65) @t66)) @t74))) % 0.28/0.85 (assume @p22 (forall @t76 (= (tptp.hAPP (tptp.hAPP @t28 @t75) @t48) (tptp.hAPP @t29 @t54)))) % 0.28/0.85 (assume @p23 (forall @t58 (= (tptp.hAPP @t35 @t78) (tptp.hAPP @t77 @t57)))) % 0.28/0.85 (assume @p24 (= (tptp.hAPP @t32 @t13) @t13)) % 0.28/0.85 (assume @p25 (forall @t26 (= (tptp.c_List_Orotate1 @t9 @t1) @t9))) % 0.28/0.85 (assume @p26 (forall @t42 (or @t41 @t47))) % 0.28/0.85 (assume @p27 (forall @t84 (or @t83 @t82 @t80))) % 0.28/0.85 (assume @p28 (forall @t84 (or @t83 @t80 @t82))) % 0.28/0.85 (assume @p29 (forall @t87 (or (tptp.c_Wellfounded_Oaccp @t86 @t17 tptp.tc_Lambda_OdB) @t85))) % 0.28/0.85 (assume @p30 (forall @t89 (or @t88 (not (tptp.c_Wellfounded_Oaccp @t86 @t59 tptp.tc_Lambda_OdB))))) % 0.28/0.85 (assume @p31 (forall @t14 (or (not (= @t90 @t9)) @t10))) % 0.28/0.85 (assume @p32 (forall @t14 (= @t2 @t91))) % 0.28/0.85 (assume @p33 (forall @t92 (= (tptp.c_List_Orev @t22 @t1) @t21))) % 0.28/0.85 (assume @p34 (forall @t14 (= @t91 @t2))) % 0.28/0.85 (assume @p35 (forall @t58 (or @t94 (not @t93)))) % 0.28/0.85 (assume @p36 (forall @t58 (or @t94 (not (tptp.c_HOL_Oord__class_Oless @t34 @t55 tptp.tc_nat))))) % 0.28/0.85 (assume @p37 (forall @t100 (or @t99 (not (tptp.c_HOL_Oord__class_Oless @t98 @t48 tptp.tc_nat))))) % 0.28/0.85 (assume @p38 (forall (@list @t96 @t95 @t27) (or (tptp.c_HOL_Oord__class_Oless @t96 (tptp.hAPP @t102 @t27) tptp.tc_nat) @t101))) % 0.28/0.85 (assume @p39 (forall (@list @t96 @t27 @t95) (or (tptp.c_HOL_Oord__class_Oless @t96 (tptp.hAPP @t29 @t95) tptp.tc_nat) @t101))) % 0.28/0.85 (assume @p40 (forall @t104 (= @t75 @t103))) % 0.28/0.85 (assume @p41 (forall (@list @t27 @t106 @t48 @t31) (or (not (= (tptp.hAPP @t29 @t106) @t50)) @t107 @t105))) % 0.28/0.85 (assume @p42 (forall @t46 (= (tptp.c_List_Orev @t45 @t1) @t45))) % 0.28/0.85 (assume @p43 (forall @t110 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t109 @t108)) @t47))) % 0.28/0.85 (assume @p44 (forall @t104 (or (not (= @t75 @t27)) @t44))) % 0.28/0.85 (assume @p45 (forall (@list @t34 @t66) (or (not (= @t34 (tptp.hAPP @t35 @t66))) (= @t66 @t13)))) % 0.28/0.85 (assume @p46 (forall @t104 (or @t111 @t37))) % 0.28/0.85 (assume @p47 (forall @t104 (or @t111 @t44))) % 0.28/0.85 (assume @p48 (forall @t26 (= (tptp.c_Predicate_Oconversep @t112 @t1 @t1) @t112))) % 0.28/0.85 (assume @p49 (forall @t14 (= (tptp.c_Nat_Osize__class_Osize @t90 @t11) @t12))) % 0.28/0.85 (assume @p50 (forall @t24 (= (tptp.c_Nat_Osize__class_Osize @t23 @t11) (tptp.hAPP (tptp.hAPP @t28 @t12) (tptp.c_Nat_Osize__class_Osize @t21 @t11))))) % 0.28/0.85 (assume @p51 (forall (@list @t31 @t34 @t1 @t48) (= (tptp.c_List_Oappend @t45 @t113 @t1) (tptp.c_List_Oappend @t113 @t45 @t1)))) % 0.28/0.85 (assume @p52 (forall (@list @t96 @t48 @t95 @t106) (or (tptp.c_HOL_Oord__class_Oless @t114 (tptp.hAPP @t102 @t106) tptp.tc_nat) @t107 @t101))) % 0.28/0.85 (assume @p53 (forall (@list @t31 @t27 @t34 @t1) (= (tptp.c_List_Oreplicate @t103 @t34 @t1) (tptp.c_List_Oappend @t45 @t40 @t1)))) % 0.28/0.85 (assume @p54 (forall (@list @t2 @t1 @t21) (or (not (= @t20 @t22)) @t115))) % 0.28/0.85 (assume @p55 (forall @t8 (or @t116 (= (tptp.c_List_Olistsum @t20 @t1) @t6)))) % 0.28/0.85 (assume @p56 (forall @t46 (= (tptp.c_Nat_Osize__class_Osize @t45 @t11) @t31))) % 0.28/0.85 (assume @p57 (forall @t8 (or (not (= @t9 @t20)) @t10))) % 0.28/0.85 (assume @p58 (forall (@list @t59 @t1 @t67) (= (tptp.c_Predicate_Oconversep @t68 @t67 @t1) @t59))) % 0.28/0.85 (assume @p59 (forall (@list @t96 @t95) (not (tptp.c_HOL_Oord__class_Oless @t98 @t96 tptp.tc_nat)))) % 0.28/0.85 (assume @p60 (forall (@list @t95 @t96) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t102 @t96) @t96 tptp.tc_nat)))) % 0.28/0.85 (assume @p61 (forall @t100 (or (tptp.c_HOL_Oord__class_Oless @t114 (tptp.hAPP @t102 @t48) tptp.tc_nat) @t101))) % 0.28/0.85 (assume @p62 (forall @t76 (or @t105 (not @t117)))) % 0.28/0.85 (assume @p63 (forall @t52 (or @t117 @t118))) % 0.28/0.85 (assume @p64 (forall @t26 (= (tptp.c_List_Obutlast @t9 @t1) @t9))) % 0.28/0.85 (assume @p65 (forall @t26 (= @t9 @t25))) % 0.28/0.85 (assume @p66 (forall @t14 (= (tptp.c_Nat_Osize__class_Osize @t20 @t11) @t12))) % 0.28/0.85 (assume @p67 (forall @t110 (or @t119 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t75 @t1) (tptp.hAPP (tptp.hAPP @t4 @t109) @t108))))) % 0.28/0.85 (assume @p68 (forall (@list @t59 @t38 @t1 @t66) (or (tptp.c_Wellfounded_Oaccp @t59 @t38 @t1) (not (tptp.hBOOL (tptp.hAPP @t120 @t66))) @t80))) % 0.28/0.85 (assume @p69 (forall (@list @t59 @t66 @t1 @t65) (or @t79 @t74 (not @t83)))) % 0.28/0.85 (assume @p70 (forall @t14 (or (= (tptp.c_List_Oappend @t122 (tptp.c_List_Olist_OCons @t121 @t9 @t1) @t1) @t2) @t10))) % 0.28/0.85 (assume @p71 (forall (@list @t1 @t27) (or @t123 (not (tptp.c_HOL_Oord__class_Oless @t109 @t3 @t1))))) % 0.28/0.85 (assume @p72 (forall @t26 (or @t119 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t13 @t1) @t3)))) % 0.28/0.85 (assume @p73 (forall @t110 (or @t123 @t124 @t118))) % 0.28/0.85 (assume @p74 (forall @t110 (or @t123 @t105 (not @t124)))) % 0.28/0.85 (assume @p75 (forall @t26 (or @t7 (= (tptp.c_List_Olistsum @t9 @t1) @t3)))) % 0.28/0.85 (assume @p76 (forall @t127 (or @t7 (= (tptp.c_List_Olistsum @t126 @t1) (tptp.hAPP @t125 @t6))))) % 0.28/0.85 (assume @p77 (forall @t104 (or @t129 (not @t128)))) % 0.28/0.85 (assume @p78 (forall @t104 (or @t129 @t131))) % 0.28/0.85 (assume @p79 (forall @t132 (or @t130 @t128 (not @t129)))) % 0.28/0.85 (assume @p80 (forall @t133 (= @t43 @t9))) % 0.28/0.85 (assume @p81 (forall @t26 (= @t134 @t13))) % 0.28/0.85 (assume @p82 (forall @t135 (= @t9 @t43))) % 0.28/0.85 (assume @p83 (forall @t46 (or (not (= @t45 @t9)) @t44))) % 0.28/0.85 (assume @p84 (forall (@list @t1 @t31 @t34) (or (not (= @t9 @t45)) @t44))) % 0.28/0.85 (assume @p85 (forall @t14 (or (not (= @t12 @t13)) @t10))) % 0.28/0.85 (assume @p86 (forall @t136 (or @t7 (= (tptp.c_List_Olistsum @t23 @t1) (tptp.hAPP (tptp.hAPP @t4 @t6) (tptp.c_List_Olistsum @t21 @t1)))))) % 0.28/0.85 (assume @p87 (forall @t133 (= @t137 @t138))) % 0.28/0.85 (assume @p88 (forall @t139 (or (= (tptp.c_List_Olast @t126 @t1) @t121) @t10))) % 0.28/0.85 (assume @p89 (forall @t133 (= @t138 @t137))) % 0.28/0.85 (assume @p90 (forall (@list @t34 @t1 @t2) (or (not (= @t137 @t20)) @t140))) % 0.28/0.85 (assume @p91 (forall (@list @t2 @t1 @t34) (or (not (= @t20 @t137)) @t140))) % 0.28/0.85 (assume @p92 (forall @t133 (= (tptp.c_List_Obutlast @t137 @t1) @t9))) % 0.28/0.85 (assume @p93 (forall @t133 (= (tptp.c_List_Olast @t137 @t1) @t34))) % 0.28/0.85 (assume @p94 (forall @t139 (or (= (tptp.c_List_Obutlast @t126 @t1) (tptp.c_List_Olist_OCons @t34 @t122 @t1)) @t10))) % 0.28/0.85 (assume @p95 (forall @t147 (or @t146 @t144 @t142))) % 0.28/0.85 (assume @p96 (forall @t152 (or @t151 @t150 @t148))) % 0.28/0.85 (assume @p97 (forall @t147 (or @t146 @t153 @t142))) % 0.28/0.85 (assume @p98 (forall @t152 (or @t151 @t154 @t148))) % 0.28/0.85 (assume @p99 (forall (@list @t31 @t34 @t1 @t2) (= (tptp.c_List_Oappend @t45 @t126 @t1) (tptp.c_List_Olist_OCons @t34 (tptp.c_List_Oappend @t45 @t2 @t1) @t1)))) % 0.28/0.85 (assume @p100 (forall @t14 (= (tptp.c_List_Obutlast @t155 @t1) @t122))) % 0.28/0.85 (assume @p101 (forall @t24 (or (= (tptp.c_List_Olast @t23 @t1) (tptp.c_List_Olast @t21 @t1)) @t156))) % 0.28/0.85 (assume @p102 (forall @t14 (= (tptp.c_List_Olast @t155 @t1) @t121))) % 0.28/0.85 (assume @p103 (forall @t24 (or (= (tptp.c_List_Obutlast @t23 @t1) (tptp.c_List_Oappend @t2 (tptp.c_List_Obutlast @t21 @t1) @t1)) @t156))) % 0.28/0.85 (assume @p104 (forall @t26 (not (tptp.c_HOL_Oord__class_Oless @t13 @t134 tptp.tc_nat)))) % 0.28/0.85 (assume @p105 (forall @t152 (or @t151 @t154 @t156))) % 0.28/0.85 (assume @p106 (forall @t147 (or @t146 @t153 @t156))) % 0.28/0.85 (assume @p107 (forall @t158 (= (tptp.c_List_Olast @t157 @t1) @t34))) % 0.28/0.85 (assume @p108 (forall @t158 (= (tptp.c_List_Obutlast @t157 @t1) @t2))) % 0.28/0.85 (assume @p109 (forall @t147 (or @t146 @t144 @t156))) % 0.28/0.85 (assume @p110 (forall @t152 (or @t151 @t150 @t156))) % 0.28/0.85 (assume @p111 (forall @t139 (= (tptp.c_List_Orev @t126 @t1) (tptp.c_List_Oappend @t20 @t137 @t1)))) % 0.28/0.85 (assume @p112 (forall (@list @t2 @t1 @t38 @t21) (or (not (= @t20 @t161)) (= @t2 @t160)))) % 0.28/0.85 (assume @p113 (forall (@list @t21 @t1 @t38) (= (tptp.c_List_Orev @t160 @t1) @t161))) % 0.28/0.85 (assume @p114 (forall (@list @t34 @t2 @t67) (= (tptp.c_List_Orotate1 @t163 @t67) (tptp.c_List_Oappend @t2 (tptp.c_List_Olist_OCons @t34 @t162 @t67) @t67)))) % 0.28/0.85 (assume @p115 (forall (@list @t96 @t34 @t1) (= (tptp.c_List_Oappend @t164 @t137 @t1) (tptp.c_List_Olist_OCons @t34 @t164 @t1)))) % 0.28/0.85 (assume @p116 (forall @t170 (or (not (tptp.c_Wellfounded_Oaccp @t86 @t169 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t86 @t166 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t86 @t168 tptp.tc_Lambda_OdB)))) % 0.28/0.85 (assume @p117 (forall @t8 (or @t7 (= @t6 @t171)))) % 0.28/0.85 (assume @p118 (forall @t174 (or (= @t173 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t97 @t31))) @t99))) % 0.28/0.85 (assume @p119 (forall @t176 (or @t123 @t130 (not @t175)))) % 0.28/0.85 (assume @p120 (forall @t176 (or @t123 @t175 @t131))) % 0.28/0.85 (assume @p121 (forall (@list @t34 @t166 @t17) (or (= @t178 @t16) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t34 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t166) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t178 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.85 (assume @p122 (forall (@list @t17 @t18 @t179) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t180) @t179) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 (tptp.c_List_Oappend @t18 (tptp.c_List_Olist_OCons @t179 @t16 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.85 (assume @p123 (forall (@list @t59 @t166 @t181) (or (not (= @t59 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t182 @t181 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t182 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t182 (tptp.c_List_Oappend @t181 @t177 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.85 (assume @p124 (forall @t186 (or @t185 (= @t18 (tptp.c_List_Oappend @t184 @t177 tptp.tc_Lambda_OdB)) @t183))) % 0.28/0.85 (assume @p125 (forall @t191 (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t190) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 @t187) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t189 @t188))) % 0.28/0.85 (assume @p126 (forall @t191 (or @t188 (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t193) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 @t187) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t192))) % 0.28/0.85 (assume @p127 (forall @t195 (or (not (= @t23 (tptp.c_List_Oappend @t2 @t141 @t1))) @t194))) % 0.28/0.85 (assume @p128 (forall (@list @t21 @t2 @t1 @t141) (or (not (= (tptp.c_List_Oappend @t21 @t2 @t1) (tptp.c_List_Oappend @t141 @t2 @t1))) @t194))) % 0.28/0.85 (assume @p129 (forall (@list @t196 @t1) (tptp.c_List_Olistsp @t196 @t9 @t1))) % 0.28/0.85 (assume @p130 (forall (@list @t59 @t38 @t181 @t34 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t120 @t181))) (tptp.c_ListOrder_Ostep1 @t59 (tptp.c_List_Olist_OCons @t38 @t34 @t1) (tptp.c_List_Olist_OCons @t181 @t34 @t1) @t1)))) % 0.28/0.85 (assume @p131 (forall (@list @t34 @t38 @t2 @t21 @t59 @t1) (or @t39 @t115 @t197))) % 0.28/0.85 (assume @p132 (forall @t201 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t200) @t199)) @t198))) % 0.28/0.85 (assume @p133 (forall @t208 (= (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 @t205 @t1) @t204))) % 0.28/0.85 (assume @p134 (forall (@list @t196 @t21 @t1 @t2) (or @t211 @t210))) % 0.28/0.85 (assume @p135 (forall (@list @t196 @t2 @t1 @t21) (or @t212 @t210))) % 0.28/0.85 (assume @p136 (forall @t215 (or (= (tptp.c_Lambda_Osubst @t172 @t166 @t48) @t172) @t214 @t213))) % 0.28/0.85 (assume @p137 (forall (@list @t166 @t216) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t219) (tptp.c_Lambda_OdB_OAbs @t216))) @t218))) % 0.28/0.85 (assume @p138 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.28/0.85 (assume @p139 (forall (@list @t59 @t34 @t221 @t1 @t220) (or (tptp.c_ListOrder_Ostep1 @t59 (tptp.c_List_Oappend @t34 @t221 @t1) (tptp.c_List_Oappend @t34 @t220 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t59 @t221 @t220 @t1))))) % 0.28/0.85 (assume @p140 (forall (@list @t59 @t21 @t2 @t1 @t34) (or @t224 (tptp.c_ListOrder_Ostep1 @t59 (tptp.c_List_Oappend @t21 @t34 @t1) @t222 @t1)))) % 0.28/0.85 (assume @p141 (forall (@list @t17 @t166 @t31) (= (tptp.c_Lambda_Osubstn @t17 @t166 @t31) (tptp.c_Lambda_Osubst @t17 (tptp.c_Lambda_Oliftn @t31 @t166 @t13) @t31)))) % 0.28/0.85 (assume @p142 (forall @t26 (or @t226 (= (tptp.hAPP @t225 @t3) @t3)))) % 0.28/0.85 (assume @p143 (forall (@list @t1 @t34 @t55 @t38) (or @t229 (tptp.c_HOL_Oord__class_Oless @t34 @t55 @t1) (not (tptp.c_HOL_Oord__class_Oless @t38 @t55 @t1)) @t228))) % 0.28/0.85 (assume @p144 (forall (@list @t1 @t55 @t34 @t38) (or @t232 (tptp.c_HOL_Oord__class_Oless @t55 @t34 @t1) (not (tptp.c_HOL_Oord__class_Oless @t55 @t38 @t1)) @t231))) % 0.28/0.85 (assume @p145 (forall @t237 (or @t236 (= @t235 (tptp.hAPP (tptp.hAPP @t4 @t233) @t55))))) % 0.28/0.85 (assume @p146 (forall @t237 (or @t239 (= @t235 (tptp.hAPP @t234 @t238))))) % 0.28/0.85 (assume @p147 (forall @t249 (or @t116 @t248))) % 0.28/0.85 (assume @p148 (forall @t249 (or @t116 (= @t244 (tptp.hAPP @t241 @t250))))) % 0.28/0.85 (assume @p149 (forall @t249 (or @t251 @t248))) % 0.28/0.85 (assume @p150 (forall @t257 (or @t236 (= @t256 (tptp.hAPP @t253 @t252))))) % 0.28/0.85 (assume @p151 (forall @t249 (or @t236 (= @t247 (tptp.hAPP @t253 @t65))))) % 0.28/0.85 (assume @p152 (forall @t257 (or @t236 (= @t256 (tptp.hAPP @t254 (tptp.hAPP @t243 @t252)))))) % 0.28/0.85 (assume @p153 (forall @t249 (or @t236 @t248))) % 0.28/0.85 (assume @p154 (forall @t30 (not (tptp.c_HOL_Oord__class_Oless @t27 @t13 tptp.tc_nat)))) % 0.28/0.85 (assume @p155 (forall @t33 (not (tptp.c_HOL_Oord__class_Oless @t31 @t13 tptp.tc_nat)))) % 0.28/0.85 (assume @p156 (forall (@list @t1 @t34 @t38 @t55 @t179) (or @t239 (not (= @t235 (tptp.hAPP @t234 @t179))) (= @t238 @t179)))) % 0.28/0.85 (assume @p157 (forall @t260 (or @t259 (= (tptp.c_Lambda_Osubst @t258 @t166 @t34) @t166)))) % 0.28/0.85 (assume @p158 (forall (@list @t261 @t67 @t66 @t1) (= (tptp.c_List_Ofoldr @t261 @t162 @t66 @t67 @t1) @t66))) % 0.28/0.85 (assume @p159 (forall (@list @t59 @t38 @t34 @t21 @t2 @t1) (or @t264 @t223 @t263))) % 0.28/0.85 (assume @p160 (forall @t268 (or @t267 (tptp.c_HOL_Oord__class_Oless @t245 @t3 @t1) (not (tptp.c_HOL_Oord__class_Oless @t65 @t3 @t1)) @t266))) % 0.28/0.85 (assume @p161 (forall (@list @t34 @t181 @t1 @t141) (= @t271 @t269))) % 0.28/0.85 (assume @p162 (forall (@list @t34 @t2 @t1 @t21) (= (tptp.c_List_Oappend @t126 @t21 @t1) (tptp.c_List_Olist_OCons @t34 @t23 @t1)))) % 0.28/0.85 (assume @p163 (forall (@list @t166 @t17 @t272) (or (tptp.hBOOL (tptp.hAPP @t276 (tptp.hAPP @t274 @t272))) @t273))) % 0.28/0.85 (assume @p164 (forall (@list @t166 @t17 @t216) (or (tptp.hBOOL (tptp.hAPP @t276 (tptp.hAPP @t277 @t17))) @t218))) % 0.28/0.85 (assume @p165 (forall (@list @t1 @t66 @t2) (or @t7 (= @t278 (tptp.hAPP @t243 @t171))))) % 0.28/0.85 (assume @p166 (forall @t237 (or @t280 @t279 (not (= @t233 @t238)) @t56))) % 0.28/0.85 (assume @p167 (forall @t249 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t282 @t281))) % 0.28/0.85 (assume @p168 (forall @t249 (or @t283 @t282 @t281))) % 0.28/0.85 (assume @p169 (forall @t286 (or @t283 (not (= @t285 @t284)) @t281))) % 0.28/0.85 (assume @p170 (forall (@list @t34 @t181 @t141 @t1) (= @t269 @t271))) % 0.28/0.85 (assume @p171 (forall (@list @t34 @t287 @t141 @t1) (= (tptp.c_List_Olist_OCons @t34 (tptp.c_List_Oappend @t287 @t141 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t34 @t287 @t1) @t141 @t1)))) % 0.28/0.85 (assume @p172 (forall (@list @t34 @t181 @t1) (not (= @t270 @t9)))) % 0.28/0.85 (assume @p173 (forall (@list @t289 @t288 @t1) (not (= @t290 @t9)))) % 0.28/0.85 (assume @p174 (forall (@list @t34 @t38 @t59 @t21 @t1 @t2) (or @t39 @t264 @t197))) % 0.28/0.85 (assume @p175 (forall @t89 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t167)) @t291))) % 0.28/0.85 (assume @p176 (forall (@list @t1 @t66 @t65 @t240 @t252) (or @t236 (= (tptp.hAPP @t246 @t255) (tptp.hAPP @t253 @t292))))) % 0.28/0.85 (assume @p177 (forall (@list @t166 @t17 @t216 @t272) (or (tptp.hBOOL (tptp.hAPP @t276 (tptp.hAPP @t277 @t272))) @t273 @t218))) % 0.28/0.85 (assume @p178 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.28/0.85 (assume @p179 (forall @t174 (or (= @t173 @t172) @t293))) % 0.28/0.85 (assume @p180 (forall @t297 (or @t296 @t295 @t273))) % 0.28/0.85 (assume @p181 (forall (@list @t17 @t48 @t166) (= (tptp.c_Lambda_Osubst @t298 @t166 @t48) @t17))) % 0.28/0.85 (assume @p182 (forall (@list @t96 @t48) (or (= (tptp.c_Lambda_Olift @t172 @t48) @t172) @t293))) % 0.28/0.85 (assume @p183 (forall @t301 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t300) @t299)) @t198))) % 0.28/0.85 (assume @p184 (forall (@list @t34 @t17 @t1) (not (= (tptp.c_List_Olist_OCons @t34 @t17 @t1) @t17)))) % 0.28/0.85 (assume @p185 (forall @t158 (not (= @t2 @t126)))) % 0.28/0.85 (assume @p186 (forall @t260 (or @t259 (= (tptp.c_Lambda_Osubstn @t258 @t166 @t34) (tptp.c_Lambda_Oliftn @t34 @t166 @t13))))) % 0.28/0.85 (assume @p187 (forall @t139 (= @t126 @t302))) % 0.28/0.85 (assume @p188 (forall (@list @t21 @t2 @t59 @t1 @t38 @t34) (or @t303 @t223 @t263))) % 0.28/0.85 (assume @p189 (forall @t26 (= @t9 @t304))) % 0.28/0.85 (assume @p190 (forall (@list @t59 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t60 @t1) @t60))) % 0.28/0.85 (assume @p191 (forall @t135 (or @t236 (= (tptp.hAPP @t225 @t34) @t34)))) % 0.28/0.85 (assume @p192 (forall @t306 (or @t116 @t305))) % 0.28/0.85 (assume @p193 (forall @t135 (or @t280 @t279 (= @t34 (tptp.hAPP @t125 @t3))))) % 0.28/0.85 (assume @p194 (forall @t306 (or @t116 @t307))) % 0.28/0.85 (assume @p195 (forall @t306 (or @t7 @t305))) % 0.28/0.85 (assume @p196 (forall @t306 (or @t7 @t307))) % 0.28/0.85 (assume @p197 (forall @t306 (or @t236 @t307))) % 0.28/0.85 (assume @p198 (forall @t306 (or @t236 @t305))) % 0.28/0.85 (assume @p199 (forall @t310 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t219) @t309)) @t308))) % 0.28/0.85 (assume @p200 (forall (@list @t311 @t66 @t312 @t1) (or (= (tptp.hAPP @t314 @t312) @t66) @t313))) % 0.28/0.85 (assume @p201 (forall (@list @t311 @t312 @t66 @t1) (or (= (tptp.hAPP (tptp.hAPP @t311 @t312) @t66) @t66) @t313))) % 0.28/0.85 (assume @p202 (forall @t306 (or @t226 @t317 (not @t316)))) % 0.28/0.85 (assume @p203 (forall @t306 (or @t226 @t316 @t318))) % 0.28/0.85 (assume @p204 (forall (@list @t59 @t1 @t66) (tptp.hBOOL (tptp.hAPP @t319 @t66)))) % 0.28/0.85 (assume @p205 (forall (@list @t59 @t1 @t34) (tptp.hBOOL (tptp.hAPP @t320 @t34)))) % 0.28/0.85 (assume @p206 (forall (@list @t59 @t1 @t34 @t55 @t38) (or (tptp.hBOOL (tptp.hAPP @t320 @t55)) (not (tptp.hBOOL (tptp.hAPP @t61 @t55))) (not @t321)))) % 0.28/0.85 (assume @p207 (forall @t14 (= @t155 @t2))) % 0.28/0.85 (assume @p208 (forall @t133 (= @t34 (tptp.c_List_Oappend @t9 @t34 @t1)))) % 0.28/0.85 (assume @p209 (forall @t14 (= @t2 @t155))) % 0.28/0.85 (assume @p210 (forall (@list @t1 @t21) (= @t322 @t21))) % 0.28/0.85 (assume @p211 (forall @t92 (= @t21 @t322))) % 0.28/0.85 (assume @p212 (forall @t324 (or @t323 @t198))) % 0.28/0.85 (assume @p213 (forall (@list @t1 @t66 @t240) (or @t236 (= @t250 @t284)))) % 0.28/0.85 (assume @p214 (forall @t268 (or @t116 (= @t245 @t285)))) % 0.28/0.85 (assume @p215 (forall @t325 (or @t236 (= @t233 (tptp.hAPP @t234 @t34))))) % 0.28/0.85 (assume @p216 (forall (@list @t261 @t2 @t21 @t67 @t66 @t1) (= (tptp.c_List_Ofoldr @t261 @t326 @t66 @t67 @t1) (tptp.c_List_Ofoldr @t261 @t2 (tptp.c_List_Ofoldr @t261 @t21 @t66 @t67 @t1) @t67 @t1)))) % 0.28/0.85 (assume @p217 (forall (@list @t59 @t38 @t34 @t21 @t1 @t2) (or @t264 @t327 @t263))) % 0.28/0.85 (assume @p218 (forall (@list @t1 @t34 @t66) (or @t280 @t279 (not (= @t34 (tptp.hAPP @t125 @t66))) @t328))) % 0.28/0.85 (assume @p219 (forall @t201 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t200) @t199)) @t329))) % 0.28/0.85 (assume @p220 (forall @t324 (or @t323 @t329))) % 0.28/0.85 (assume @p221 (forall @t306 (or @t226 (not (= @t315 @t3)) @t328))) % 0.28/0.85 (assume @p222 (forall (@list @t1 @t2 @t66) (or @t251 (= (tptp.c_List_Ofoldr @t4 @t2 @t66 @t1 @t1) @t278)))) % 0.28/0.85 (assume @p223 (forall @t64 (or @t321 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t34) @t38)))))) % 0.28/0.85 (assume @p224 (forall (@list @t59 @t1 @t2) (not (tptp.c_ListOrder_Ostep1 @t59 @t9 @t2 @t1)))) % 0.28/0.85 (assume @p225 (forall (@list @t59 @t2 @t1) (not (tptp.c_ListOrder_Ostep1 @t59 @t2 @t9 @t1)))) % 0.28/0.85 (assume @p226 (forall @t306 (or @t226 @t330 @t266))) % 0.28/0.85 (assume @p227 (forall @t306 (or @t226 @t265 @t331))) % 0.28/0.85 (assume @p228 (forall @t306 (or @t332 @t265 @t331))) % 0.28/0.85 (assume @p229 (forall @t306 (or @t332 @t330 @t266))) % 0.28/0.85 (assume @p230 (forall (@list @t1 @t34 @t141) (or @t7 (= (tptp.hAPP @t125 (tptp.c_List_Ofoldl @t4 @t3 @t141 @t1 @t1)) (tptp.c_List_Ofoldl @t4 @t34 @t141 @t1 @t1))))) % 0.28/0.85 (assume @p231 (forall @t170 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t168)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t166))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t169)))))) % 0.28/0.85 (assume @p232 (forall @t215 (or (= (tptp.c_Lambda_Osubstn @t172 @t166 @t48) @t172) @t214 @t213))) % 0.28/0.85 (assume @p233 (forall @t334 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t333)) @t85))) % 0.28/0.85 (assume @p234 (forall @t136 (or @t335 @t10))) % 0.28/0.85 (assume @p235 (forall @t136 (or @t335 @t156))) % 0.28/0.85 (assume @p236 (forall (@list @t202 @t336) (or (not (= @t205 @t337)) (= @t202 @t336)))) % 0.28/0.85 (assume @p237 (forall @t24 (or @t338 @t10))) % 0.28/0.85 (assume @p238 (forall @t24 (or @t338 @t156))) % 0.28/0.85 (assume @p239 (forall @t36 (not @t259))) % 0.28/0.85 (assume @p240 (forall @t33 (not (tptp.c_HOL_Oord__class_Oless @t31 @t31 tptp.tc_nat)))) % 0.28/0.85 (assume @p241 (forall @t135 (or @t232 @t339))) % 0.28/0.85 (assume @p242 (forall @t135 (or @t340 @t339))) % 0.28/0.85 (assume @p243 (forall @t135 (or @t229 @t339))) % 0.28/0.85 (assume @p244 (forall @t310 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t341) (tptp.c_Lambda_Osubst @t166 @t17 @t13))))) % 0.28/0.85 (assume @p245 (forall @t301 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t300) @t299)) @t329))) % 0.28/0.85 (assume @p246 (forall @t268 (or @t267 (tptp.c_HOL_Oord__class_Oless @t3 @t245 @t1) (not (tptp.c_HOL_Oord__class_Oless @t3 @t65 @t1)) @t318))) % 0.28/0.85 (assume @p247 (forall @t342 (or @t223 @t115 @t197))) % 0.28/0.85 (assume @p248 (forall (@list @t311 @t66 @t65 @t240 @t1) (or (= (tptp.hAPP (tptp.hAPP @t311 (tptp.hAPP @t314 @t65)) @t240) (tptp.hAPP @t314 (tptp.hAPP (tptp.hAPP @t311 @t65) @t240))) @t343))) % 0.28/0.85 (assume @p249 (forall @t344 (or @t332 @t230 @t227 @t39))) % 0.28/0.85 (assume @p250 (forall @t325 (or @t340 @t39 @t230 @t227))) % 0.28/0.85 (assume @p251 (forall @t132 (or @t345 @t105 @t47))) % 0.28/0.85 (assume @p252 (forall (@list @t187 @t31 @t27) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t187 @t31) @t27)) @t345 @t47 @t105))) % 0.28/0.85 (assume @p253 (forall (@list @t38 @t34) (or (tptp.c_HOL_Oord__class_Oless @t38 @t34 tptp.tc_nat) @t93 @t39))) % 0.28/0.85 (assume @p254 (forall @t344 (or @t340 @t230 @t227 @t39))) % 0.28/0.85 (assume @p255 (forall @t344 (or @t340 @t230 @t39 @t227))) % 0.28/0.85 (assume @p256 (forall @t325 (or @t340 @t39 @t227 @t230))) % 0.28/0.85 (assume @p257 (forall (@list @t1 @t66 @t240 @t65 @t252) (or @t348 (tptp.c_HOL_Oord__class_Oless @t250 @t292 @t1) (not (tptp.c_HOL_Oord__class_Oless @t240 @t252 @t1)) @t347))) % 0.28/0.85 (assume @p258 (forall (@list @t1 @t289 @t288) (not (= @t9 @t290)))) % 0.28/0.85 (assume @p259 (forall @t8 (or @t7 (= @t5 @t171)))) % 0.28/0.85 (assume @p260 (forall (@list @t21 @t2 @t38 @t34 @t59 @t1) (or @t303 @t327 @t263))) % 0.28/0.85 (assume @p261 (forall @t33 (or @t130 @t44))) % 0.28/0.85 (assume @p262 (forall (@list @t196 @t2 @t21 @t1) (or @t209 (not @t211) (not @t212)))) % 0.28/0.85 (assume @p263 (forall @t208 (= (tptp.c_Lambda_OdB_OdB__rec @t207 @t206 @t203 @t205 @t1) (tptp.hAPP @t204 (tptp.c_Lambda_OdB_OdB__rec @t207 @t206 @t203 @t202 @t1))))) % 0.28/0.85 (assume @p264 (forall (@list @t17 @t48) (= (tptp.c_Lambda_Oliftn @t13 @t17 @t48) @t17))) % 0.28/0.85 (assume @p265 (not (tptp.c_HOL_Oord__class_Oless @t13 @t13 tptp.tc_nat))) % 0.28/0.85 (assume @p266 (forall @t26 (or @t349 (tptp.c_OrderedGroup_Osemigroup__add @t4 @t1)))) % 0.28/0.85 (assume @p267 (forall (@list @t17 @t166) (= (tptp.c_Lambda_Osubstn @t17 @t166 @t13) (tptp.c_Lambda_Osubst @t17 @t166 @t13)))) % 0.28/0.85 (assume @p268 (forall @t286 (or @t123 (tptp.c_HOL_Oord__class_Oless @t65 @t250 @t1) (not (tptp.c_HOL_Oord__class_Oless @t65 @t240 @t1)) @t318))) % 0.28/0.85 (assume @p269 (forall (@list @t95 @t179 @t96) (or (= (tptp.c_Lambda_Osubst @t351 @t179 @t96) @t351) @t350))) % 0.28/0.85 (assume @p270 (forall (@list @t261 @t34 @t2 @t67 @t66 @t1) (= (tptp.c_List_Ofoldr @t261 @t163 @t66 @t67 @t1) (tptp.hAPP (tptp.hAPP @t261 @t34) (tptp.c_List_Ofoldr @t261 @t2 @t66 @t67 @t1))))) % 0.28/0.85 (assume @p271 (forall (@list @t187 @t207 @t206 @t203 @t202) (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 @t205 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t187 @t204))))) % 0.28/0.85 (assume @p272 (forall (@list @t187 @t207 @t206 @t203 @t181) (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 (tptp.c_Lambda_OdB_OAbs @t181) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t187 (tptp.hAPP @t203 @t181)))))) % 0.28/0.85 (assume @p273 (forall (@list @t59 @t96 @t95) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t59 @t172 @t95))) @t291))) % 0.28/0.85 (assume @p274 (forall @t24 (or (not (= @t23 @t2)) @t156))) % 0.28/0.85 (assume @p275 (forall @t24 (or (not (= @t2 @t23)) @t156))) % 0.28/0.85 (assume @p276 (forall @t24 (or (not (= @t23 @t21)) @t10))) % 0.28/0.85 (assume @p277 (forall (@list @t21 @t2 @t1) (or (not (= @t21 @t23)) @t10))) % 0.28/0.85 (assume @p278 (forall @t357 (or @t356 (= @t353 @t352)))) % 0.28/0.85 (assume @p279 (forall @t357 (or @t356 (= @t355 @t354)))) % 0.28/0.85 (assume @p280 (forall @t127 (= @t302 @t126))) % 0.28/0.85 (assume @p281 (forall @t359 (or @t348 @t358 @t347))) % 0.28/0.85 (assume @p282 (forall @t359 (or @t360 @t358 @t347))) % 0.28/0.85 (assume @p283 (forall @t249 (or @t360 @t346 (not @t358)))) % 0.28/0.85 (assume @p284 (forall @t362 (or @t348 @t361 @t347))) % 0.28/0.85 (assume @p285 (forall @t362 (or @t360 @t361 @t347))) % 0.28/0.85 (assume @p286 (forall @t249 (or @t360 @t346 (not @t361)))) % 0.28/0.85 (assume @p287 (forall @t365 (or @t364 (= @t66 @t289)))) % 0.28/0.85 (assume @p288 (forall @t365 (or @t364 (= @t363 @t288)))) % 0.28/0.85 (assume @p289 (forall @t342 (or @t223 @t264 @t197))) % 0.28/0.85 (assume @p290 (forall (@list @t59 @t34 @t21 @t1 @t2) (or (tptp.c_ListOrder_Ostep1 @t59 (tptp.c_List_Olist_OCons @t34 @t21 @t1) @t126 @t1) @t224))) % 0.28/0.85 (assume @p291 (forall @t367 (or @t366 @t115))) % 0.28/0.85 (assume @p292 (forall @t367 (or @t366 @t39))) % 0.28/0.85 (assume @p293 (forall @t26 (= @t304 @t9))) % 0.28/0.85 (assume @p294 (forall @t195 (= (tptp.c_List_Oappend @t23 @t141 @t1) (tptp.c_List_Oappend @t2 @t145 @t1)))) % 0.28/0.85 (assume @p295 (forall (@list @t2 @t287 @t220 @t1) (= (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t287 @t220 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t2 @t287 @t1) @t220 @t1)))) % 0.28/0.85 (assume @p296 (forall (@list @t141 @t34 @t1 @t21) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t141 @t34 @t1) @t21 @t1) (tptp.c_List_Oappend @t141 (tptp.c_List_Oappend @t34 @t21 @t1) @t1)))) % 0.28/0.85 (assume @p297 (forall (@list @t2 @t34 @t18 @t1) (= (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t34 @t18 @t1) @t1) (tptp.c_List_Oappend @t222 @t18 @t1)))) % 0.28/0.85 (assume @p298 (forall @t268 (or @t232 @t347 @t368))) % 0.28/0.85 (assume @p299 (forall @t370 (or @t369 (not (tptp.hBOOL (tptp.hAPP @t81 @t240))) @t74))) % 0.28/0.85 (assume @p300 (forall @t370 (or @t369 (not (tptp.hBOOL (tptp.hAPP @t70 @t240))) (not (tptp.hBOOL (tptp.hAPP @t319 @t65)))))) % 0.28/0.85 (assume @p301 (forall @t325 (or @t340 @t228 @t231))) % 0.28/0.85 (assume @p302 (forall @t344 (or @t229 @t231 @t228))) % 0.28/0.85 (assume @p303 (forall (@list @t1 @t65 @t66) (or @t229 @t368 @t347))) % 0.28/0.85 (assume @p304 (forall (@list @t19 @t96 @t371 @t17 @t294) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t19 @t96 @t371 tptp.tc_Type_Otype) @t333 @t294) @t295))) % 0.28/0.85 (assume @p305 (forall @t191 (or (tptp.hBOOL (tptp.hAPP @t187 @t190)) @t189 @t188))) % 0.28/0.85 (assume @p306 (forall (@list @t311 @t34 @t38 @t141 @t1) (or (= (tptp.c_List_Ofoldl @t311 (tptp.hAPP @t372 @t38) @t141 @t1 @t1) (tptp.hAPP @t372 (tptp.c_List_Ofoldl @t311 @t38 @t141 @t1 @t1))) @t343))) % 0.28/0.85 (assume @p307 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.28/0.85 (assume @p308 (forall (@list @t59 @t166) (= @t182 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t182 @t16 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.85 (assume @p309 (forall @t375 (= (tptp.c_Lambda_Osubst @t374 @t166 @t48) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t17 @t166 @t48)) (tptp.c_Lambda_Osubst @t179 @t166 @t48))))) % 0.28/0.85 (assume @p310 (forall (@list @t336 @t376) (not (= @t337 @t377)))) % 0.28/0.85 (assume @p311 (forall (@list @t379 @t378 @t336) (not (= @t380 @t337)))) % 0.28/0.85 (assume @p312 (forall (@list @t19 @t18 @t294 @t96) (or (tptp.c_Type_Otypings @t19 @t18 @t383) @t382))) % 0.28/0.85 (assume @p313 (forall (@list @t376 @t384) (or (not (= @t377 (tptp.c_Lambda_OdB_OVar @t384))) (= @t376 @t384)))) % 0.28/0.85 (assume @p314 (forall (@list @t187 @t207 @t206 @t203 @t385) (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 (tptp.c_Lambda_OdB_OVar @t385) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t187 (tptp.hAPP @t207 @t385)))))) % 0.28/0.85 (assume @p315 (forall (@list @t187 @t207 @t206 @t203 @t376) (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 @t377 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t187 @t386))))) % 0.28/0.85 (assume @p316 (forall (@list @t336 @t379 @t378) (not (= @t337 @t380)))) % 0.28/0.85 (assume @p317 (forall @t297 (or @t296 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t17) @t272))) @t295))) % 0.28/0.85 (assume @p318 (forall @t392 (or @t391 @t47))) % 0.28/0.85 (assume @p319 (forall @t392 (or @t391 @t393))) % 0.28/0.85 (assume @p320 (forall (@list @t48 @t179) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t48) @t179 @t48) @t179))) % 0.28/0.85 (assume @p321 (forall (@list @t187 @t207 @t206 @t203 @t395 @t394) (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t395) @t394) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t187 (tptp.hAPP (tptp.hAPP @t206 @t395) @t394)))))) % 0.28/0.85 (assume @p322 (forall (@list @t187 @t207 @t206 @t203 @t379 @t378) (or (not (tptp.hBOOL (tptp.hAPP @t187 (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 @t380 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t187 @t396))))) % 0.28/0.85 (assume @p323 (forall @t400 (or (tptp.c_Type_Otypings @t19 @t18 @t399) @t398))) % 0.28/0.85 (assume @p324 (forall (@list @t371 @t294 @t19 @t220 @t96 @t18 @t15) (or (= @t371 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t404 @t294 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t403 @t402 @t401))) % 0.28/0.85 (assume @p325 (forall (@list @t19 @t96 @t294 @t1 @t95) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t19 @t96 @t294 @t1) @t95) (tptp.hAPP @t19 @t95)) @t350))) % 0.28/0.85 (assume @p326 (forall @t407 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t406) @t405)) @t329))) % 0.28/0.85 (assume @p327 (forall (@list @t59 @t166 @t17) (or (not (= @t182 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t16 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t182 @t17)))) % 0.28/0.85 (assume @p328 (forall (@list @t96 @t17) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t172) @t17))))) % 0.28/0.85 (assume @p329 (forall (@list @t409 @t166 @t17 @t371 @t294) (or (tptp.c_Type_Otyping @t409 @t275 @t371) (not (tptp.c_Type_Otyping @t409 @t17 @t294)) (not (tptp.c_Type_Otyping @t409 @t166 @t408))))) % 0.28/0.85 (assume @p330 (forall @t411 (or @t410 (= @t166 @t167)))) % 0.28/0.85 (assume @p331 (forall @t414 (or @t413 @t412))) % 0.28/0.85 (assume @p332 (forall @t414 (or @t413 @t393))) % 0.28/0.85 (assume @p333 (forall (@list @t31 @t389) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t415)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t389 tptp.tc_Lambda_OdB))))) % 0.28/0.85 (assume @p334 (forall @t420 (or @t419 (= @t379 @t416)))) % 0.28/0.85 (assume @p335 (forall @t420 (or @t419 (= @t378 @t417)))) % 0.28/0.85 (assume @p336 (forall (@list @t294 @t371 @t19 @t96 @t18) (or (= @t294 @t371) @t403 @t382))) % 0.28/0.85 (assume @p337 (forall (@list @t59 @t389 @t165) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t59 @t389 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t406)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t389 @t165 tptp.tc_Lambda_OdB))))) % 0.28/0.85 (assume @p338 (forall @t191 (or @t188 (tptp.hBOOL (tptp.hAPP @t187 @t193)) @t192))) % 0.28/0.85 (assume @p339 (forall @t407 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t406) @t405)) @t198))) % 0.28/0.85 (assume @p340 (forall @t422 (or @t421 (= @t390 @t166)))) % 0.28/0.85 (assume @p341 (forall @t170 (or @t424 @t423))) % 0.28/0.85 (assume @p342 (forall @t425 (= (tptp.c_Lambda_OdB_OdB__rec @t207 @t206 @t203 @t377 @t1) @t386))) % 0.28/0.85 (assume @p343 (forall (@list @t376 @t416 @t417) (not (= @t377 @t418)))) % 0.28/0.85 (assume @p344 (forall (@list @t31 @t18 @t59 @t165) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t387 @t18 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t167 @t165 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.85 (assume @p345 (forall @t433 (or @t432 @t430 (not (tptp.c_Type_Otyping @t19 @t179 @t427)) @t428 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t19 @t96 @t427 tptp.tc_Type_Otype) @t17 @t426)) @t85))) % 0.28/0.85 (assume @p346 (forall @t433 (or @t432 @t430 (not (tptp.c_Type_Otyping @t19 @t179 @t431)) @t428 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t19 @t96 @t431 tptp.tc_Type_Otype) @t17 @t426)) @t85))) % 0.28/0.85 (assume @p347 (forall (@list @t19 @t34 @t294 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t19 @t34 @t294 @t1) @t34) @t294))) % 0.28/0.85 (assume @p348 (forall (@list @t261 @t66 @t67 @t1) (= (tptp.c_List_Ofoldl @t261 @t66 @t162 @t1 @t67) @t66))) % 0.28/0.85 (assume @p349 (forall (@list @t409 @t17 @t294 @t371) (or (tptp.c_Type_Otyping @t409 @t309 @t408) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t409 @t13 @t294 tptp.tc_Type_Otype) @t17 @t371))))) % 0.28/0.85 (assume @p350 (= tptp.v_n____ tptp.v_i____)) % 0.28/0.85 (assume @p351 (forall (@list @t376 @t336) (not (= @t377 @t337)))) % 0.28/0.85 (assume @p352 (forall @t33 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t387)))) % 0.28/0.85 (assume @p353 (forall (@list @t19 @t96 @t294) (or (= (tptp.hAPP @t19 @t96) @t294) (not (tptp.c_Type_Otyping @t19 @t172 @t294))))) % 0.28/0.85 (assume @p354 (forall (@list @t1 @t34 @t38 @t141) (or @t349 (= (tptp.c_List_Ofoldl @t4 @t233 @t141 @t1 @t1) (tptp.hAPP @t125 (tptp.c_List_Ofoldl @t4 @t38 @t141 @t1 @t1)))))) % 0.28/0.85 (assume @p355 (forall (@list @t166 @t17 @t48) (= (tptp.c_Lambda_Olift @t275 @t48) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t166 @t48)) @t298)))) % 0.28/0.85 (assume @p356 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t435 tptp.v_T_Ha______)) % 0.28/0.85 (assume @p357 (forall @t437 (or (tptp.c_Type_Otyping @t19 @t17 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t436 @t294 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t398))) % 0.28/0.85 (assume @p358 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.28/0.85 (assume @p359 (forall (@list @t19 @t96 @t294 @t18) (or (tptp.c_Type_Otyping @t19 @t172 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t383 @t294 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t382))) % 0.28/0.85 (assume @p360 @t439) % 0.28/0.85 (assume @p361 (forall (@list @t19 @t17 @t18 @t294 @t15) (or @t397 @t402 (not (tptp.c_Type_Otyping @t19 @t17 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t15 @t294 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.28/0.85 (assume @p362 (forall (@list @t440 @t31 @t389) (or (= @t440 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t387 @t442 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t441))) % 0.28/0.85 (assume @p363 (forall @t443 (= (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 @t380 @t1) @t396))) % 0.28/0.85 (assume @p364 (forall (@list @t311 @t34 @t312 @t141 @t1) (or (= (tptp.hAPP @t372 (tptp.c_List_Ofoldl @t311 @t312 @t141 @t1 @t1)) (tptp.c_List_Ofoldl @t311 @t34 @t141 @t1 @t1)) @t313))) % 0.28/0.85 (assume @p365 (forall (@list @t19 @t179 @t294 @t17) (or (tptp.c_Type_Otyping @t19 @t179 @t445) @t444))) % 0.28/0.85 (assume @p366 (forall @t30 (= @t390 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t390 @t16 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.85 (assume @p367 (forall @t425 (= (tptp.c_Lambda_OdB_OdB__case @t207 @t206 @t203 @t377 @t1) @t386))) % 0.28/0.85 (assume @p368 (forall @t400 (or (tptp.c_Type_Otypings @t19 @t18 @t436) @t398))) % 0.28/0.85 (assume @p369 (forall (@list @t261 @t66 @t34 @t2 @t67 @t1) (= (tptp.c_List_Ofoldl @t261 @t66 @t163 @t1 @t67) (tptp.c_List_Ofoldl @t261 (tptp.hAPP (tptp.hAPP @t261 @t66) @t34) @t2 @t1 @t67)))) % 0.28/0.85 (assume @p370 (forall @t89 (= @t167 @t446))) % 0.28/0.85 (assume @p371 (forall @t186 (or @t185 (= @t59 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t184 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t183))) % 0.28/0.85 (assume @p372 (forall (@list @t409 @t34) (tptp.c_Type_Otyping @t409 @t258 (tptp.hAPP @t409 @t34)))) % 0.28/0.85 (assume @p373 (forall @t170 (or @t424 (= @t167 @t166)))) % 0.28/0.85 (assume @p374 (forall @t443 (= (tptp.c_Lambda_OdB_OdB__rec @t207 @t206 @t203 @t380 @t1) (tptp.hAPP (tptp.hAPP @t396 (tptp.c_Lambda_OdB_OdB__rec @t207 @t206 @t203 @t379 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t207 @t206 @t203 @t378 @t1))))) % 0.28/0.85 (assume @p375 (forall @t87 (= @t17 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t17) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t17) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.85 (assume @p376 (forall @t411 (or @t410 @t423))) % 0.28/0.85 (assume @p377 (forall (@list @t59 @t18 @t166) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t59 @t18 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t166 @t18 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t412))) % 0.28/0.85 (assume @p378 (forall (@list @t19 @t220 @t294 @t371 @t96 @t18 @t15) (or (tptp.c_Type_Otypings @t19 @t220 @t404) @t403 @t402 @t401))) % 0.28/0.85 (assume @p379 (forall (@list @t179 @t166 @t17) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t447 @t166)) (tptp.hAPP @t447 @t17))) @t308))) % 0.28/0.85 (assume @p380 (forall (@list @t166 @t179 @t17) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t274 @t179)) @t374)) @t308))) % 0.28/0.85 (assume @p381 (forall (@list @t31 @t166 @t17 @t48) (= (tptp.c_Lambda_Oliftn @t31 @t275 @t48) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t31 @t166 @t48)) (tptp.c_Lambda_Oliftn @t31 @t17 @t48))))) % 0.28/0.85 (assume @p382 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.28/0.85 (assume @p383 (forall @t89 (= @t446 @t167))) % 0.28/0.85 (assume @p384 (forall @t422 (or @t421 @t423))) % 0.28/0.85 (assume @p385 (forall @t437 (or (tptp.c_Type_Otyping @t19 @t17 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t399 @t294 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t398))) % 0.28/0.85 (assume @p386 (forall @t334 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t373 @t172))) @t85))) % 0.28/0.85 (assume @p387 (forall (@list @t389 @t31 @t440) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t389 @t442 tptp.tc_Lambda_OdB) @t441))) % 0.28/0.85 (assume @p388 (forall (@list @t448 @t179 @t371 @t96 @t17 @t294) (or (not (tptp.c_Type_Otyping @t448 @t179 @t371)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t448 @t96 @t371 tptp.tc_Type_Otype) @t17 @t294)) (tptp.c_Type_Otyping @t448 @t429 @t294)))) % 0.28/0.85 (assume @p389 (forall (@list @t166 @t17 @t31 @t165) (not (= @t341 @t388)))) % 0.28/0.85 (assume @p390 (forall @t375 (= (tptp.c_Lambda_Osubstn @t374 @t166 @t48) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t17 @t166 @t48)) (tptp.c_Lambda_Osubstn @t179 @t166 @t48))))) % 0.28/0.85 (assume @p391 (forall (@list @t261 @t66 @t2 @t21 @t67 @t1) (= (tptp.c_List_Ofoldl @t261 @t66 @t326 @t1 @t67) (tptp.c_List_Ofoldl @t261 (tptp.c_List_Ofoldl @t261 @t66 @t2 @t1 @t67) @t21 @t1 @t67)))) % 0.28/0.85 (assume @p392 (forall (@list @t19 @t17 @t294 @t179) (or (tptp.c_Type_Otyping @t19 @t17 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t445) @t294)) @t444))) % 0.28/0.85 (assume @p393 (forall (@list @t416 @t417 @t376) (not (= @t418 @t377)))) % 0.28/0.85 (assume @p394 (not (tptp.c_Type_Otyping @t438 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t434) tptp.v_a____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____))) % 0.28/0.85 (assume @p395 (forall @t452 (or (tptp.class_Orderings_Opreorder @t451) (not (tptp.class_Orderings_Opreorder @t449))))) % 0.28/0.85 (assume @p396 (forall @t452 (or (tptp.class_Orderings_Oorder @t451) (not (tptp.class_Orderings_Oorder @t449))))) % 0.28/0.85 (assume @p397 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.28/0.85 (assume @p398 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.28/0.85 (assume @p399 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.28/0.85 (assume @p400 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.28/0.85 (assume @p401 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.28/0.85 (assume @p402 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.28/0.85 (assume @p403 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.28/0.85 (assume @p404 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.28/0.85 (assume @p405 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.28/0.85 (assume @p406 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.28/0.85 (assume @p407 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.28/0.85 (assume @p408 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.28/0.85 (assume @p409 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.28/0.85 (assume @p410 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.28/0.85 (assume @p411 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.28/0.85 (assume @p412 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.28/0.85 (assume @p413 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.28/0.85 (assume @p414 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.28/0.85 (assume @p415 (forall @t135 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t34) @t34)))) % 0.28/0.85 (assume @p416 (forall (@list @t454 @t453 @t1) (or (= @t454 @t453) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t454) @t453)))))) % 0.28/0.85 (step @p417 :rule evaluate :args ((= true false))) % 0.28/0.85 (step @p418 :rule false_intro :premises (@p394)) % 0.28/0.85 (step @p419 :rule refl :args (tptp.v_T_H____)) % 0.28/0.85 (step @p420 :rule instantiate :premises (@p369) :args ((@list tptp.c_Lambda_OdB_OApp @t434 tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.28/0.85 (step @p421 :rule refl :args (tptp.tc_Lambda_OdB)) % 0.28/0.85 (step @p422 :rule refl :args (@t434)) % 0.28/0.85 (step @p423 :rule refl :args (tptp.c_Lambda_OdB_OApp)) % 0.28/0.85 (step @p424 :rule cong :premises (@p423 @p422 @p382 @p421 @p421) :args (@t435)) % 0.28/0.85 (step @p425 :rule trans :premises (@p424 @p420)) % 0.28/0.85 (step @p426 :rule refl :args (@t438)) % 0.28/0.85 (step @p427 :rule cong :premises (@p426 @p425 @p419) :args (@t439)) % 0.28/0.85 (step @p428 :rule true_intro :premises (@p360)) % 0.28/0.85 (step @p429 :rule symm :premises (@p428)) % 0.28/0.85 (step @p430 :rule trans :premises (@p429 @p427 @p418)) % 0.28/0.85 (step @p431 false :rule eq_resolve :premises (@p430 @p417)) % 0.28/0.85 ) % 0.28/0.85 % SZS output end Proof % 0.28/0.85 % cvc5 exiting %------------------------------------------------------------------------------