%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL818-1 : 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 : n006.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 11:23:57 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.82s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL818-1 : 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 % 0.12/0.37 % Computer : n006.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Fri Sep 4 19:20:17 UTC 2026 % 0.12/0.37 % CPUTime : % 0.22/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.82 % SZS status Unsatisfiable % 0.31/0.82 % SZS output start Proof % 0.31/0.85 ( % 0.31/0.85 (declare-sort $$unsorted 0) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.v_i____ $$unsorted) % 0.31/0.85 (declare-const tptp.v_e____ $$unsorted) % 0.31/0.85 (declare-const tptp.v_u____ $$unsorted) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.v_a____ $$unsorted) % 0.31/0.85 (declare-const tptp.v_as____ $$unsorted) % 0.31/0.85 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.31/0.85 (declare-const tptp.v_Ts____ $$unsorted) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.t_a $$unsorted) % 0.31/0.85 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.31/0.85 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.31/0.85 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.31/0.85 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.v_ua______ $$unsorted) % 0.31/0.85 (declare-const tptp.v_ia______ $$unsorted) % 0.31/0.85 (declare-const tptp.tc_nat $$unsorted) % 0.31/0.85 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.tc_bool $$unsorted) % 0.31/0.85 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.v_rs____ $$unsorted) % 0.31/0.85 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.v_ea______ $$unsorted) % 0.31/0.85 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.v_n____ $$unsorted) % 0.31/0.85 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.31/0.85 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.31/0.85 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.31/0.85 (declare-const tptp.v_T____ $$unsorted) % 0.31/0.85 (declare-const tptp.v_T_H____ $$unsorted) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.31/0.85 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.85 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.31/0.85 (define @t1 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.31/0.85 (define @t2 () (@var "V_j" $$unsorted)) % 0.31/0.85 (define @t3 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.31/0.85 (define @t4 () (tptp.hAPP @t3 @t2)) % 0.31/0.85 (define @t5 () (tptp.hAPP @t4 @t1)) % 0.31/0.85 (define @t6 () (@var "V_i" $$unsorted)) % 0.31/0.85 (define @t7 () (@var "V_s" $$unsorted)) % 0.31/0.85 (define @t8 () (tptp.c_Lambda_Olift @t7 @t6)) % 0.31/0.85 (define @t9 () (@var "V_t" $$unsorted)) % 0.31/0.85 (define @t10 () (tptp.c_Lambda_Olift @t9 @t6)) % 0.31/0.85 (define @t11 () (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst @t9 @t7 @t2) @t6)) % 0.31/0.85 (define @t12 () (@list @t9 @t7 @t2 @t6)) % 0.31/0.85 (define @t13 () (tptp.hAPP @t3 @t6)) % 0.31/0.85 (define @t14 () (tptp.hAPP @t13 @t1)) % 0.31/0.85 (define @t15 () (@var "V_k" $$unsorted)) % 0.31/0.85 (define @t16 () (tptp.hAPP @t3 @t15)) % 0.31/0.85 (define @t17 () (tptp.hAPP @t16 @t1)) % 0.31/0.85 (define @t18 () (tptp.c_Lambda_OdB_OAbs @t7)) % 0.31/0.85 (define @t19 () (@var "T_a" $$unsorted)) % 0.31/0.85 (define @t20 () (tptp.c_HOL_Oone__class_Oone @t19)) % 0.31/0.85 (define @t21 () (@var "V_a" $$unsorted)) % 0.31/0.85 (define @t22 () (tptp.c_HOL_Oplus__class_Oplus @t19)) % 0.31/0.85 (define @t23 () (tptp.hAPP @t22 @t21)) % 0.31/0.85 (define @t24 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t19))) % 0.31/0.85 (define @t25 () (@list @t19 @t21)) % 0.31/0.85 (define @t26 () (tptp.c_HOL_Ozero__class_Ozero @t19)) % 0.31/0.85 (define @t27 () (@list @t19)) % 0.31/0.85 (define @t28 () (@var "V_n" $$unsorted)) % 0.31/0.85 (define @t29 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t19))) % 0.31/0.85 (define @t30 () (tptp.c_Lambda_OdB_OAbs @t9)) % 0.31/0.85 (define @t31 () (@list @t9 @t7 @t15)) % 0.31/0.85 (define @t32 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t19))) % 0.31/0.85 (define @t33 () (tptp.c_HOL_Oord__class_Oless @t6 @t15 tptp.tc_nat)) % 0.31/0.85 (define @t34 () (tptp.c_Lambda_OdB_OVar @t6)) % 0.31/0.85 (define @t35 () (tptp.c_Lambda_Olift @t34 @t15)) % 0.31/0.85 (define @t36 () (@list @t6 @t15)) % 0.31/0.85 (define @t37 () (@var "V_Ts" $$unsorted)) % 0.31/0.85 (define @t38 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t39 () (@var "V_ts" $$unsorted)) % 0.31/0.85 (define @t40 () (@var "V_e" $$unsorted)) % 0.31/0.85 (define @t41 () (not (tptp.c_Type_Otypings @t40 (tptp.c_List_Oappend @t39 (tptp.c_List_Olist_OCons @t9 @t38 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) @t37))) % 0.31/0.85 (define @t42 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.31/0.85 (define @t43 () (tptp.c_List_Olist_ONil @t19)) % 0.31/0.85 (define @t44 () (@var "V_x" $$unsorted)) % 0.31/0.85 (define @t45 () (tptp.c_List_Olist_OCons @t44 @t43 @t19)) % 0.31/0.85 (define @t46 () (@var "V_xs" $$unsorted)) % 0.31/0.85 (define @t47 () (tptp.c_List_Oappend @t46 @t45 @t19)) % 0.31/0.85 (define @t48 () (@var "V_y" $$unsorted)) % 0.31/0.85 (define @t49 () (@var "V_ys" $$unsorted)) % 0.31/0.85 (define @t50 () (tptp.c_List_Oappend @t49 (tptp.c_List_Olist_OCons @t48 @t43 @t19) @t19)) % 0.31/0.85 (define @t51 () (@var "V_r" $$unsorted)) % 0.31/0.85 (define @t52 () (not (tptp.c_ListOrder_Ostep1 @t51 @t50 @t47 @t19))) % 0.31/0.85 (define @t53 () (tptp.c_ListOrder_Ostep1 @t51 @t49 @t46 @t19)) % 0.31/0.85 (define @t54 () (tptp.hAPP @t51 @t48)) % 0.31/0.85 (define @t55 () (tptp.hBOOL (tptp.hAPP @t54 @t44))) % 0.31/0.85 (define @t56 () (= @t48 @t44)) % 0.31/0.85 (define @t57 () (= @t49 @t46)) % 0.31/0.85 (define @t58 () (tptp.c_List_Ofoldl @t22 @t26 @t46 @t19 @t19)) % 0.31/0.85 (define @t59 () (tptp.c_List_Olistsum @t46 @t19)) % 0.31/0.85 (define @t60 () (not (tptp.class_OrderedGroup_Omonoid__add @t19))) % 0.31/0.85 (define @t61 () (@list @t19 @t46)) % 0.31/0.85 (define @t62 () (@var "V_m" $$unsorted)) % 0.31/0.85 (define @t63 () (tptp.c_HOL_Oord__class_Oless @t42 @t62 tptp.tc_nat)) % 0.31/0.85 (define @t64 () (tptp.hAPP @t3 @t62)) % 0.31/0.85 (define @t65 () (tptp.hAPP @t64 @t28)) % 0.31/0.85 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t42 @t65 tptp.tc_nat)) % 0.31/0.85 (define @t67 () (@list @t62 @t28)) % 0.31/0.85 (define @t68 () (tptp.c_HOL_Oord__class_Oless @t42 @t28 tptp.tc_nat)) % 0.31/0.85 (define @t69 () (not @t68)) % 0.31/0.85 (define @t70 () (@list @t62)) % 0.31/0.85 (define @t71 () (tptp.hAPP @t3 @t42)) % 0.31/0.85 (define @t72 () (@list @t28)) % 0.31/0.85 (define @t73 () (tptp.hAPP @t3 @t44)) % 0.31/0.85 (define @t74 () (@list @t44)) % 0.31/0.85 (define @t75 () (tptp.c_Transitive__Closure_Ortranclp @t51 @t19)) % 0.31/0.85 (define @t76 () (= @t39 @t38)) % 0.31/0.85 (define @t77 () (tptp.c_List_Olist_OCons @t7 @t38 tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t78 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t51 @t7 @t9 @t39)) % 0.31/0.85 (define @t79 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t39 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t80 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t51) @t7)) % 0.31/0.85 (define @t81 () (not (= @t80 @t79))) % 0.31/0.85 (define @t82 () (@list @t51 @t7 @t9 @t39)) % 0.31/0.85 (define @t83 () (= @t62 @t42)) % 0.31/0.85 (define @t84 () (= @t44 @t48)) % 0.31/0.85 (define @t85 () (tptp.c_List_Oreplicate @t62 @t44 @t19)) % 0.31/0.85 (define @t86 () (not (= @t85 (tptp.c_List_Oreplicate @t28 @t48 @t19)))) % 0.31/0.85 (define @t87 () (@list @t62 @t44 @t19 @t28 @t48)) % 0.31/0.85 (define @t88 () (tptp.c_List_Oreplicate @t42 @t44 @t19)) % 0.31/0.85 (define @t89 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t62 @t19)) % 0.31/0.85 (define @t90 () (tptp.c_List_Olist_OCons @t44 @t46 @t19)) % 0.31/0.85 (define @t91 () (not (tptp.c_ListOrder_Ostep1 @t51 (tptp.c_List_Olist_OCons @t48 @t49 @t19) @t90 @t19))) % 0.31/0.85 (define @t92 () (= @t62 @t28)) % 0.31/0.85 (define @t93 () (tptp.hAPP @t16 @t28)) % 0.31/0.85 (define @t94 () (tptp.hAPP @t16 @t62)) % 0.31/0.85 (define @t95 () (@list @t15 @t62 @t28)) % 0.31/0.85 (define @t96 () (tptp.hAPP @t3 @t28)) % 0.31/0.85 (define @t97 () (tptp.hAPP @t96 @t15)) % 0.31/0.85 (define @t98 () (@var "V_z" $$unsorted)) % 0.31/0.85 (define @t99 () (= @t48 @t98)) % 0.31/0.85 (define @t100 () (tptp.hAPP @t73 @t98)) % 0.31/0.85 (define @t101 () (@list @t44 @t48 @t98)) % 0.31/0.85 (define @t102 () (tptp.hAPP @t75 @t48)) % 0.31/0.85 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t44))) % 0.31/0.85 (define @t104 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t51 @t19 @t19) @t19) @t44) @t48))) % 0.31/0.85 (define @t105 () (@list @t51 @t19 @t44 @t48)) % 0.31/0.85 (define @t106 () (@var "V_b" $$unsorted)) % 0.31/0.85 (define @t107 () (@var "T_b" $$unsorted)) % 0.31/0.85 (define @t108 () (tptp.c_Predicate_Oconversep @t51 @t19 @t107)) % 0.31/0.85 (define @t109 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t21) @t106))) % 0.31/0.85 (define @t110 () (tptp.hAPP @t51 @t106)) % 0.31/0.85 (define @t111 () (tptp.hBOOL (tptp.hAPP @t110 @t21))) % 0.31/0.85 (define @t112 () (@var "V_a2" $$unsorted)) % 0.31/0.85 (define @t113 () (@var "V_a1" $$unsorted)) % 0.31/0.85 (define @t114 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t21) @t106)))) % 0.31/0.85 (define @t115 () (@list @t28 @t62)) % 0.31/0.85 (define @t116 () (@list @t62 @t28 @t15)) % 0.31/0.85 (define @t117 () (tptp.hAPP @t3 @t48)) % 0.31/0.85 (define @t118 () (tptp.hAPP @t117 @t98)) % 0.31/0.85 (define @t119 () (tptp.c_List_Oappend @t46 @t44 @t19)) % 0.31/0.85 (define @t120 () (not @t53)) % 0.31/0.85 (define @t121 () (@var "V_us" $$unsorted)) % 0.31/0.85 (define @t122 () (@var "V_vs" $$unsorted)) % 0.31/0.85 (define @t123 () (= @t46 @t49)) % 0.31/0.85 (define @t124 () (@var "V_xa" $$unsorted)) % 0.31/0.85 (define @t125 () (tptp.hAPP @t75 @t21)) % 0.31/0.85 (define @t126 () (tptp.hAPP @t75 @t44)) % 0.31/0.85 (define @t127 () (tptp.c_Wellfounded_Oaccp @t51 @t21 @t19)) % 0.31/0.85 (define @t128 () (not @t127)) % 0.31/0.85 (define @t129 () (tptp.hAPP @t75 @t106)) % 0.31/0.85 (define @t130 () (not (tptp.hBOOL (tptp.hAPP @t129 @t21)))) % 0.31/0.85 (define @t131 () (tptp.c_Wellfounded_Oaccp @t51 @t106 @t19)) % 0.31/0.85 (define @t132 () (@list @t51 @t106 @t19 @t21)) % 0.31/0.85 (define @t133 () (tptp.hBOOL (tptp.hAPP @t126 @t48))) % 0.31/0.85 (define @t134 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t9)))) % 0.31/0.85 (define @t135 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t136 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t51))) % 0.31/0.85 (define @t137 () (@list @t51)) % 0.31/0.85 (define @t138 () (= @t46 @t43)) % 0.31/0.85 (define @t139 () (@list @t46 @t19)) % 0.31/0.85 (define @t140 () (tptp.c_HOL_Oord__class_Oless @t44 @t48 tptp.tc_nat)) % 0.31/0.85 (define @t141 () (tptp.c_HOL_Oord__class_Oless @t44 @t118 tptp.tc_nat)) % 0.31/0.85 (define @t142 () (tptp.hAPP @t13 @t2)) % 0.31/0.85 (define @t143 () (@list @t6 @t15 @t2)) % 0.31/0.85 (define @t144 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t2 tptp.tc_nat))) % 0.31/0.85 (define @t145 () (tptp.hAPP @t96 @t62)) % 0.31/0.85 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t62 @t28 tptp.tc_nat)) % 0.31/0.85 (define @t147 () (@var "V_l" $$unsorted)) % 0.31/0.85 (define @t148 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t147 tptp.tc_nat))) % 0.31/0.85 (define @t149 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t28 @t19)) % 0.31/0.85 (define @t150 () (@list @t19 @t62 @t28)) % 0.31/0.85 (define @t151 () (= @t28 @t42)) % 0.31/0.85 (define @t152 () (not (= @t65 @t42))) % 0.31/0.85 (define @t153 () (tptp.c_fequal @t19)) % 0.31/0.85 (define @t154 () (@list @t51 @t49 @t46 @t19 @t48 @t44)) % 0.31/0.85 (define @t155 () (tptp.hAPP @t22 @t44)) % 0.31/0.85 (define @t156 () (@list @t19 @t44 @t46)) % 0.31/0.85 (define @t157 () (tptp.c_List_Oreplicate @t28 @t44 @t19)) % 0.31/0.85 (define @t158 () (tptp.c_List_Oreplicate @t15 @t44 @t19)) % 0.31/0.85 (define @t159 () (tptp.hAPP @t13 @t15)) % 0.31/0.85 (define @t160 () (not @t146)) % 0.31/0.85 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t89 @t149 @t19)) % 0.31/0.85 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t94 @t93 tptp.tc_nat)) % 0.31/0.85 (define @t163 () (tptp.c_List_Oappend @t46 @t49 @t19)) % 0.31/0.85 (define @t164 () (@list @t19 @t46 @t49)) % 0.31/0.85 (define @t165 () (@var "V_c" $$unsorted)) % 0.31/0.85 (define @t166 () (tptp.hBOOL (tptp.hAPP @t125 @t165))) % 0.31/0.85 (define @t167 () (@list @t51 @t19 @t21 @t165 @t106)) % 0.31/0.85 (define @t168 () (@list @t44 @t19)) % 0.31/0.85 (define @t169 () (@list @t19 @t44)) % 0.31/0.85 (define @t170 () (@var "V_s_H" $$unsorted)) % 0.31/0.85 (define @t171 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t172 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t7) @t170)))) % 0.31/0.85 (define @t173 () (@var "V_t_H" $$unsorted)) % 0.31/0.85 (define @t174 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t9) @t173)))) % 0.31/0.85 (define @t175 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t170)) % 0.31/0.85 (define @t176 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t7)) % 0.31/0.85 (define @t177 () (tptp.hAPP @t176 @t9)) % 0.31/0.85 (define @t178 () (tptp.hAPP @t171 @t177)) % 0.31/0.85 (define @t179 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t51) @t7)))) % 0.31/0.85 (define @t180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Lambda_Osubst @t9 @t51 @t6)) (tptp.c_Lambda_Osubst @t9 @t7 @t6)))) % 0.31/0.85 (define @t181 () (@list @t9 @t51 @t6 @t7)) % 0.31/0.85 (define @t182 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t51) @t7)))) % 0.31/0.85 (define @t183 () (tptp.c_Lambda_Osubst @t7 @t9 @t6)) % 0.31/0.85 (define @t184 () (tptp.c_Lambda_Osubst @t51 @t9 @t6)) % 0.31/0.85 (define @t185 () (@list @t51 @t9 @t6 @t7)) % 0.31/0.85 (define @t186 () (@var "V_T" $$unsorted)) % 0.31/0.85 (define @t187 () (not (tptp.c_Type_Otyping @t40 @t9 @t186))) % 0.31/0.85 (define @t188 () (tptp.c_Type_Otyping @t40 @t173 @t186)) % 0.31/0.85 (define @t189 () (@list @t40 @t173 @t186 @t9)) % 0.31/0.85 (define @t190 () (tptp.c_Lambda_Olift @t51 @t6)) % 0.31/0.85 (define @t191 () (@list @t51 @t6 @t7)) % 0.31/0.85 (define @t192 () (tptp.c_List_Olist_ONil @t107)) % 0.31/0.85 (define @t193 () (tptp.c_List_Olist_OCons @t44 @t46 @t107)) % 0.31/0.85 (define @t194 () (tptp.c_List_Oreplicate @t6 @t44 @t19)) % 0.31/0.85 (define @t195 () (tptp.c_List_Ofoldr @t22 @t46 @t26 @t19 @t19)) % 0.31/0.85 (define @t196 () (@var "V_ss" $$unsorted)) % 0.31/0.85 (define @t197 () (tptp.c_Lambda_OdB_OAbs @t51)) % 0.31/0.85 (define @t198 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t197) @t7) @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t199 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t51 @t7 @t42) @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t200 () (@list @t51 @t7 @t196)) % 0.31/0.85 (define @t201 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t7 @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t202 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t51 @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t203 () (@list @t51 @t196 @t7)) % 0.31/0.85 (define @t204 () (@var "V_rs" $$unsorted)) % 0.31/0.85 (define @t205 () (tptp.c_Lambda_Oliftn @t28 @t34 @t15)) % 0.31/0.85 (define @t206 () (@list @t28 @t6 @t15)) % 0.31/0.85 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t26 @t149 @t19)) % 0.31/0.85 (define @t208 () (@list @t19 @t28)) % 0.31/0.85 (define @t209 () (tptp.c_List_Oappend @t44 @t77 tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t210 () (@var "V_u" $$unsorted)) % 0.31/0.85 (define @t211 () (@var "V_v" $$unsorted)) % 0.31/0.85 (define @t212 () (tptp.c_Lambda_OdB_OVar @t28)) % 0.31/0.85 (define @t213 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t212 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t214 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t213) @t211)))) % 0.31/0.85 (define @t215 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t28 @t204 @t211)) % 0.31/0.85 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t15 @t6 tptp.tc_nat)) % 0.31/0.85 (define @t217 () (= @t6 @t15)) % 0.31/0.85 (define @t218 () (@list @t6 @t7 @t15)) % 0.31/0.85 (define @t219 () (not @t33)) % 0.31/0.85 (define @t220 () (tptp.c_List_Ofoldl @t22 @t21 @t46 @t19 @t19)) % 0.31/0.85 (define @t221 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t19))) % 0.31/0.85 (define @t222 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t6 tptp.tc_nat))) % 0.31/0.85 (define @t223 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.31/0.85 (define @t224 () (tptp.c_Lambda_OdB_OVar @t44)) % 0.31/0.85 (define @t225 () (tptp.c_HOL_Oord__class_Oless @t44 @t44 tptp.tc_nat)) % 0.31/0.85 (define @t226 () (@list @t44 @t7)) % 0.31/0.85 (define @t227 () (@var "V_zs" $$unsorted)) % 0.31/0.85 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t21 @t106 @t19)) % 0.31/0.85 (define @t229 () (not @t228)) % 0.31/0.85 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t106 @t21 @t19))) % 0.31/0.85 (define @t231 () (not (tptp.class_Orderings_Opreorder @t19))) % 0.31/0.85 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t44 @t48 @t19)) % 0.31/0.85 (define @t233 () (not @t232)) % 0.31/0.85 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t48 @t44 @t19)) % 0.31/0.85 (define @t235 () (not @t234)) % 0.31/0.85 (define @t236 () (@list @t19 @t48 @t44)) % 0.31/0.85 (define @t237 () (not (tptp.class_Orderings_Olinorder @t19))) % 0.31/0.85 (define @t238 () (@list @t19 @t44 @t48)) % 0.31/0.85 (define @t239 () (not (tptp.class_Orderings_Oorder @t19))) % 0.31/0.85 (define @t240 () (@list @t19 @t21 @t106)) % 0.31/0.85 (define @t241 () (tptp.hAPP @t22 @t165)) % 0.31/0.85 (define @t242 () (tptp.hAPP @t241 @t21)) % 0.31/0.85 (define @t243 () (tptp.c_HOL_Oord__class_Oless @t242 (tptp.hAPP @t241 @t106) @t19)) % 0.31/0.85 (define @t244 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t19))) % 0.31/0.85 (define @t245 () (@list @t19 @t21 @t106 @t165)) % 0.31/0.85 (define @t246 () (@list @t19 @t165 @t21 @t106)) % 0.31/0.85 (define @t247 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t19))) % 0.31/0.85 (define @t248 () (tptp.hAPP @t22 @t106)) % 0.31/0.85 (define @t249 () (tptp.hAPP @t248 @t165)) % 0.31/0.85 (define @t250 () (tptp.hAPP @t23 @t165)) % 0.31/0.85 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t250 @t249 @t19)) % 0.31/0.85 (define @t252 () (@list @t19 @t21 @t165 @t106)) % 0.31/0.85 (define @t253 () (tptp.c_HOL_Oord__class_Oless @t26 @t21 @t19)) % 0.31/0.85 (define @t254 () (not @t253)) % 0.31/0.85 (define @t255 () (@list @t19 @t106 @t21 @t165)) % 0.31/0.85 (define @t256 () (@var "V_A" $$unsorted)) % 0.31/0.85 (define @t257 () (tptp.c_List_Olistsp @t256 @t46 @t19)) % 0.31/0.85 (define @t258 () (tptp.c_List_Olistsp @t256 @t49 @t19)) % 0.31/0.85 (define @t259 () (tptp.c_List_Olistsp @t256 @t163 @t19)) % 0.31/0.85 (define @t260 () (@var "V_d" $$unsorted)) % 0.31/0.85 (define @t261 () (tptp.hAPP @t248 @t260)) % 0.31/0.85 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t28 @t62 tptp.tc_nat)) % 0.31/0.85 (define @t263 () (@var "V_P" $$unsorted)) % 0.31/0.85 (define @t264 () (not (tptp.class_Ring__and__Field_Oordered__idom @t19))) % 0.31/0.85 (define @t265 () (tptp.hAPP @t23 @t106)) % 0.31/0.85 (define @t266 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t19))) % 0.31/0.85 (define @t267 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t44 @t19))) % 0.31/0.85 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t21 @t26 @t19)) % 0.31/0.85 (define @t269 () (not @t268)) % 0.31/0.85 (define @t270 () (tptp.hAPP @t23 @t21)) % 0.31/0.85 (define @t271 () (tptp.c_HOL_Oord__class_Oless @t270 @t26 @t19)) % 0.31/0.85 (define @t272 () (not @t271)) % 0.31/0.85 (define @t273 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t19))) % 0.31/0.85 (define @t274 () (= @t21 @t26)) % 0.31/0.85 (define @t275 () (not (tptp.class_Int_Onumber__ring @t19))) % 0.31/0.85 (define @t276 () (not (tptp.class_Ring__and__Field_Oidom @t19))) % 0.31/0.85 (define @t277 () (tptp.hAPP @t155 @t48)) % 0.31/0.85 (define @t278 () (tptp.hAPP @t22 @t48)) % 0.31/0.85 (define @t279 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t19))) % 0.31/0.85 (define @t280 () (tptp.hAPP @t248 @t21)) % 0.31/0.85 (define @t281 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t19))) % 0.31/0.85 (define @t282 () (not @t259)) % 0.31/0.85 (define @t283 () (tptp.hAPP @t22 @t26)) % 0.31/0.85 (define @t284 () (tptp.hAPP @t155 (tptp.hAPP @t278 @t98))) % 0.31/0.85 (define @t285 () (@list @t19 @t44 @t48 @t98)) % 0.31/0.85 (define @t286 () (tptp.hAPP @t155 @t98)) % 0.31/0.85 (define @t287 () (not (tptp.class_OrderedGroup_Oab__group__add @t19))) % 0.31/0.85 (define @t288 () (tptp.hAPP @t23 @t249)) % 0.31/0.85 (define @t289 () (tptp.hAPP @t22 @t265)) % 0.31/0.85 (define @t290 () (tptp.hAPP @t289 @t165)) % 0.31/0.85 (define @t291 () (= @t290 @t288)) % 0.31/0.85 (define @t292 () (tptp.hAPP @t22 @t250)) % 0.31/0.85 (define @t293 () (tptp.hAPP @t241 @t260)) % 0.31/0.85 (define @t294 () (tptp.hAPP @t23 @t293)) % 0.31/0.85 (define @t295 () (@list @t19 @t21 @t165 @t260)) % 0.31/0.85 (define @t296 () (= @t106 @t165)) % 0.31/0.85 (define @t297 () (not (= @t265 @t250))) % 0.31/0.85 (define @t298 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t19))) % 0.31/0.85 (define @t299 () (= (tptp.hAPP @t283 @t21) @t21)) % 0.31/0.85 (define @t300 () (= (tptp.hAPP @t23 @t26) @t21)) % 0.31/0.85 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t26 @t270 @t19)) % 0.31/0.85 (define @t302 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t197 @t38 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t303 () (= @t196 @t38)) % 0.31/0.85 (define @t304 () (not (= @t201 @t197))) % 0.31/0.85 (define @t305 () (@list @t7 @t196 @t51)) % 0.31/0.85 (define @t306 () (not (= @t197 @t201))) % 0.31/0.85 (define @t307 () (tptp.c_Lambda_OdB_OVar @t62)) % 0.31/0.85 (define @t308 () (not (= @t307 @t201))) % 0.31/0.85 (define @t309 () (@list @t62 @t7 @t196)) % 0.31/0.85 (define @t310 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.31/0.85 (define @t311 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t310 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t312 () (@var "V_nat" $$unsorted)) % 0.31/0.85 (define @t313 () (@var "V_f1" $$unsorted)) % 0.31/0.85 (define @t314 () (tptp.hAPP @t313 @t312)) % 0.31/0.85 (define @t315 () (tptp.c_Type_Otype_OAtom @t312)) % 0.31/0.85 (define @t316 () (@var "V_f2" $$unsorted)) % 0.31/0.85 (define @t317 () (@list @t313 @t316 @t312 @t19)) % 0.31/0.85 (define @t318 () (@var "V_f" $$unsorted)) % 0.31/0.85 (define @t319 () (tptp.c_List_Oappend @t46 @t49 @t107)) % 0.31/0.85 (define @t320 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t7) @t9)))) % 0.31/0.85 (define @t321 () (@list @t7 @t9)) % 0.31/0.85 (define @t322 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t212 @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t323 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t18) @t9)) % 0.31/0.85 (define @t324 () (tptp.c_List_Oappend @t43 @t43 @t19)) % 0.31/0.85 (define @t325 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t9)) % 0.31/0.85 (define @t326 () (@list @t9 @t6)) % 0.31/0.85 (define @t327 () (tptp.c_List_Oappend @t43 @t90 @t19)) % 0.31/0.85 (define @t328 () (not @t136)) % 0.31/0.85 (define @t329 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t34 @t39 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.85 (define @t330 () (not (tptp.c_Type_Otyping @t40 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t329 @t121 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t186))) % 0.31/0.85 (define @t331 () (not (tptp.c_Type_Otypings @t40 @t39 @t37))) % 0.31/0.85 (define @t332 () (@var "V_U" $$unsorted)) % 0.31/0.85 (define @t333 () (not (tptp.c_Type_Otyping @t40 @t329 @t332))) % 0.31/0.85 (define @t334 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t186 @t332 @t40 @t121)) % 0.31/0.85 (define @t335 () (tptp.hBOOL (tptp.hAPP @t263 @t314))) % 0.31/0.85 (define @t336 () (@var "V_xc" $$unsorted)) % 0.31/0.85 (define @t337 () (@var "V_list_H" $$unsorted)) % 0.31/0.85 (define @t338 () (@var "V_a_H" $$unsorted)) % 0.31/0.85 (define @t339 () (tptp.c_List_Olist_OCons @t338 @t337 @t19)) % 0.31/0.85 (define @t340 () (tptp.c_List_Olist_OCons @t44 @t124 @t19)) % 0.31/0.85 (define @t341 () (@var "V_xs1" $$unsorted)) % 0.31/0.85 (define @t342 () (tptp.c_List_Oappend @t340 @t227 @t19)) % 0.31/0.85 (define @t343 () (tptp.c_List_Olist_OCons @t44 (tptp.c_List_Oappend @t124 @t227 @t19) @t19)) % 0.31/0.85 (define @t344 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t263)) % 0.31/0.85 (define @t345 () (tptp.hBOOL (tptp.hAPP @t263 @t186))) % 0.31/0.85 (define @t346 () (tptp.c_Type_Otyping @t40 @t79 @t186)) % 0.31/0.85 (define @t347 () (not @t346)) % 0.31/0.85 (define @t348 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t186 @t40 @t9 @t39)) % 0.31/0.85 (define @t349 () (@list @t40 @t39 @t186 @t9)) % 0.31/0.85 (define @t350 () (tptp.c_Lambda_OdB_OVar @t312)) % 0.31/0.85 (define @t351 () (@var "V_f3" $$unsorted)) % 0.31/0.85 (define @t352 () (@list @t313 @t316 @t351 @t312 @t19)) % 0.31/0.85 (define @t353 () (not (tptp.c_Type_Otyping @t40 @t30 @t186))) % 0.31/0.85 (define @t354 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t186 @t40 @t9)) % 0.31/0.85 (define @t355 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t186 @t40 @t9)) % 0.31/0.85 (define @t356 () (@var "V_dB" $$unsorted)) % 0.31/0.85 (define @t357 () (tptp.hAPP @t351 @t356)) % 0.31/0.85 (define @t358 () (tptp.c_Lambda_OdB_OAbs @t356)) % 0.31/0.85 (define @t359 () (@list @t313 @t316 @t351 @t356 @t19)) % 0.31/0.85 (define @t360 () (= @t49 @t227)) % 0.31/0.85 (define @t361 () (@list @t46 @t49 @t19 @t227)) % 0.31/0.85 (define @t362 () (tptp.c_List_Oappend @t46 @t43 @t19)) % 0.31/0.85 (define @t363 () (tptp.c_List_Oappend @t43 @t49 @t19)) % 0.31/0.85 (define @t364 () (@var "V_nat_H" $$unsorted)) % 0.31/0.85 (define @t365 () (= @t312 @t364)) % 0.31/0.85 (define @t366 () (@list @t312 @t364)) % 0.31/0.85 (define @t367 () (@var "V_dB_H" $$unsorted)) % 0.31/0.85 (define @t368 () (tptp.c_Lambda_OdB_OAbs @t367)) % 0.31/0.85 (define @t369 () (not (= @t43 @t163))) % 0.31/0.85 (define @t370 () (= @t49 @t43)) % 0.31/0.85 (define @t371 () (not (= @t163 @t43))) % 0.31/0.85 (define @t372 () (@list @t46 @t49 @t19)) % 0.31/0.85 (define @t373 () (= @t204 @t196)) % 0.31/0.85 (define @t374 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t197 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t18 @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.85 (define @t375 () (@list @t51 @t204 @t7 @t196)) % 0.31/0.85 (define @t376 () (= @t51 @t7)) % 0.31/0.85 (define @t377 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t186 @t40 @t9 @t39)) % 0.31/0.85 (define @t378 () (@var "V_list" $$unsorted)) % 0.31/0.85 (define @t379 () (not (= (tptp.c_List_Olist_OCons @t21 @t378 @t19) @t339))) % 0.31/0.85 (define @t380 () (@list @t21 @t378 @t19 @t338 @t337)) % 0.31/0.85 (define @t381 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t307 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t322))) % 0.31/0.85 (define @t382 () (@list @t62 @t204 @t28 @t196)) % 0.31/0.85 (define @t383 () (@var "V_xd" $$unsorted)) % 0.31/0.85 (define @t384 () (not (tptp.c_Type_Otyping @t40 @t329 @t186))) % 0.31/0.85 (define @t385 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t186 @t40 @t6 @t39)) % 0.31/0.85 (define @t386 () (not (= @t47 @t50))) % 0.31/0.85 (define @t387 () (@list @t46 @t44 @t19 @t49 @t48)) % 0.31/0.85 (define @t388 () (@var "V_type2_H" $$unsorted)) % 0.31/0.85 (define @t389 () (@var "V_type1_H" $$unsorted)) % 0.31/0.85 (define @t390 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t389) @t388)) % 0.31/0.85 (define @t391 () (tptp.hAPP @t325 @t210)) % 0.31/0.85 (define @t392 () (@list @t9 @t210 @t7 @t15)) % 0.31/0.85 (define @t393 () (@var "V_dB2" $$unsorted)) % 0.31/0.85 (define @t394 () (@var "V_dB1" $$unsorted)) % 0.31/0.85 (define @t395 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t394) @t393)) % 0.31/0.85 (define @t396 () (@var "V_xb" $$unsorted)) % 0.31/0.85 (define @t397 () (tptp.hAPP (tptp.hAPP @t316 @t394) @t393)) % 0.31/0.85 (define @t398 () (@var "V_type1" $$unsorted)) % 0.31/0.85 (define @t399 () (@var "V_type2" $$unsorted)) % 0.31/0.85 (define @t400 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t398) @t399)) % 0.31/0.85 (define @t401 () (not (= @t400 @t390))) % 0.31/0.85 (define @t402 () (@list @t398 @t399 @t389 @t388)) % 0.31/0.85 (define @t403 () (@var "V_T2" $$unsorted)) % 0.31/0.85 (define @t404 () (@var "V_T1" $$unsorted)) % 0.31/0.85 (define @t405 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t404) @t403)) % 0.31/0.85 (define @t406 () (@var "V_T1a" $$unsorted)) % 0.31/0.85 (define @t407 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t186) @t332)) % 0.31/0.85 (define @t408 () (@var "V_env" $$unsorted)) % 0.31/0.85 (define @t409 () (forall (@list @t408 @t7 @t9 @t332 @t186) (or (tptp.c_Type_Otyping @t408 @t177 @t332) (not (tptp.c_Type_Otyping @t408 @t9 @t186)) (not (tptp.c_Type_Otyping @t408 @t7 @t407))))) % 0.31/0.85 (define @t410 () (@var "V_dB1_H" $$unsorted)) % 0.31/0.85 (define @t411 () (@var "V_dB2_H" $$unsorted)) % 0.31/0.85 (define @t412 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t410) @t411)) % 0.31/0.85 (define @t413 () (not (= @t395 @t412))) % 0.31/0.85 (define @t414 () (@list @t394 @t393 @t410 @t411)) % 0.31/0.85 (define @t415 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.31/0.85 (define @t416 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t415)) % 0.31/0.85 (define @t417 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t416)) % 0.31/0.85 (define @t418 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.31/0.85 (define @t419 () (@var "V_Ta" $$unsorted)) % 0.31/0.85 (define @t420 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t210)))) % 0.31/0.85 (define @t421 () (tptp.c_Lambda_Osubst @t9 @t210 @t6)) % 0.31/0.85 (define @t422 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t421))) % 0.31/0.85 (define @t423 () (not (= tptp.v_T____ @t405))) % 0.31/0.85 (define @t424 () (@list @t404 @t403 @t9 @t210 @t6 @t40 @t419)) % 0.31/0.85 (define @t425 () (tptp.c_Lambda_Olift @t9 @t15)) % 0.31/0.85 (define @t426 () (@list @t40 @t9 @t186 @t39)) % 0.31/0.85 (define @t427 () (@list @t313 @t316 @t351 @t394 @t393 @t19)) % 0.31/0.85 (define @t428 () (not (tptp.c_Type_Otyping @t40 @t391 @t186))) % 0.31/0.85 (define @t429 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t186 @t40 @t9 @t210)) % 0.31/0.85 (define @t430 () (tptp.hAPP (tptp.hAPP @t316 @t398) @t399)) % 0.31/0.85 (define @t431 () (@list @t313 @t316 @t398 @t399 @t19)) % 0.31/0.85 (define @t432 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t210)) % 0.31/0.85 (define @t433 () (@var "V_e_H" $$unsorted)) % 0.31/0.85 (define @t434 () (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____)) % 0.31/0.85 (define @t435 () (tptp.c_Type_Otyping tptp.v_e____ @t434 tptp.v_T_H_H____)) % 0.31/0.85 (define @t436 () (tptp.c_Type_Otyping tptp.v_e____ (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp tptp.v_u____) @t434) @t415)) % 0.31/0.85 (define @t437 () (@var "T_1" $$unsorted)) % 0.31/0.85 (define @t438 () (@var "T_2" $$unsorted)) % 0.31/0.85 (define @t439 () (tptp.tc_fun @t438 @t437)) % 0.31/0.85 (define @t440 () (@list @t438 @t437)) % 0.31/0.85 (define @t441 () (@var "V_Y" $$unsorted)) % 0.31/0.85 (define @t442 () (@var "V_X" $$unsorted)) % 0.31/0.85 (define @t443 () (not @t417)) % 0.31/0.85 (define @t444 () (not @t435)) % 0.31/0.85 (define @t445 () (or @t436 @t444 @t443)) % 0.31/0.85 (define @t446 () (not @t445)) % 0.31/0.85 (assume @p1 (forall @t12 (or (= @t11 (tptp.c_Lambda_Osubst @t10 @t8 @t5)) (not (tptp.c_HOL_Oord__class_Oless @t6 @t5 tptp.tc_nat))))) % 0.31/0.85 (assume @p2 (forall @t12 (or (= @t11 (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t9 @t14) @t8 @t2)) (not (tptp.c_HOL_Oord__class_Oless @t2 @t14 tptp.tc_nat))))) % 0.31/0.85 (assume @p3 (forall (@list @t7 @t15) (= (tptp.c_Lambda_Olift @t18 @t15) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t7 @t17))))) % 0.31/0.85 (assume @p4 (forall @t25 (or @t24 (tptp.c_HOL_Oord__class_Oless @t21 (tptp.hAPP @t23 @t20) @t19)))) % 0.31/0.85 (assume @p5 (forall @t27 (or @t24 (tptp.c_HOL_Oord__class_Oless @t26 @t20 @t19)))) % 0.31/0.85 (assume @p6 (forall (@list @t28 @t7 @t15) (= (tptp.c_Lambda_Oliftn @t28 @t18 @t15) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t28 @t7 @t17))))) % 0.31/0.85 (assume @p7 (forall @t27 (or @t29 (not (= @t20 @t26))))) % 0.31/0.85 (assume @p8 (forall @t27 (or @t24 (not (tptp.c_HOL_Oord__class_Oless @t20 @t26 @t19))))) % 0.31/0.85 (assume @p9 (forall @t31 (= (tptp.c_Lambda_Osubstn @t30 @t7 @t15) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t9 @t7 @t17))))) % 0.31/0.85 (assume @p10 (forall @t27 (or @t32 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t19) @t20)))) % 0.31/0.85 (assume @p11 (forall @t27 (or @t29 (not (= @t26 @t20))))) % 0.31/0.85 (assume @p12 (forall @t27 (or @t24 (tptp.c_HOL_Oord__class_Oless @t26 (tptp.hAPP (tptp.hAPP @t22 @t20) @t20) @t19)))) % 0.31/0.85 (assume @p13 (forall @t36 (or (= @t35 (tptp.c_Lambda_OdB_OVar @t14)) @t33))) % 0.31/0.85 (assume @p14 (forall (@list @t40 @t39 @t37 @t9) (or (tptp.c_Type_Otypings @t40 @t39 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__1 @t37 @t40 @t9 @t39)) @t41))) % 0.31/0.85 (assume @p15 (forall @t31 (= (tptp.c_Lambda_Osubst @t30 @t7 @t15) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst @t9 (tptp.c_Lambda_Olift @t7 @t42) @t17))))) % 0.31/0.85 (assume @p16 (forall (@list @t40 @t9 @t37 @t39) (or (tptp.c_Type_Otyping @t40 @t9 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 @t37 @t40 @t9 @t39)) @t41))) % 0.31/0.85 (assume @p17 (forall (@list @t51 @t48 @t44 @t49 @t46 @t19) (or @t55 @t53 @t52))) % 0.31/0.85 (assume @p18 (forall (@list @t51 @t48 @t44 @t49 @t19 @t46) (or @t55 @t56 @t52))) % 0.31/0.85 (assume @p19 (forall (@list @t49 @t46 @t48 @t44 @t51 @t19) (or @t57 @t56 @t52))) % 0.31/0.85 (assume @p20 (forall @t61 (or @t60 (= @t59 @t58)))) % 0.31/0.85 (assume @p21 (forall @t67 (or @t66 (not @t63)))) % 0.31/0.85 (assume @p22 (forall @t67 (or @t66 @t69))) % 0.31/0.85 (assume @p23 (forall @t70 (= (tptp.hAPP @t64 @t42) @t62))) % 0.31/0.85 (assume @p24 (forall @t72 (= (tptp.hAPP @t71 @t28) @t28))) % 0.31/0.85 (assume @p25 (forall @t74 (= @t44 (tptp.hAPP @t73 @t42)))) % 0.31/0.85 (assume @p26 (forall (@list @t51 @t19) (= (tptp.c_Transitive__Closure_Ortranclp @t75 @t19) @t75))) % 0.31/0.85 (assume @p27 (forall @t82 (or @t81 (= @t39 (tptp.c_List_Oappend @t78 @t77 tptp.tc_Lambda_OdB)) @t76))) % 0.31/0.85 (assume @p28 (forall @t87 (or @t86 @t84 @t83))) % 0.31/0.85 (assume @p29 (forall (@list @t44 @t19 @t48) (= @t88 (tptp.c_List_Oreplicate @t42 @t48 @t19)))) % 0.31/0.85 (assume @p30 (forall (@list @t19 @t62) (or @t24 (not (tptp.c_HOL_Oord__class_Oless @t89 @t26 @t19))))) % 0.31/0.85 (assume @p31 (forall (@list @t44 @t48 @t51 @t49 @t19 @t46) (or @t84 @t55 @t91))) % 0.31/0.85 (assume @p32 (forall @t95 (or (not (= @t94 @t93)) @t92))) % 0.31/0.85 (assume @p33 (forall (@list @t62 @t15 @t28) (or (not (= (tptp.hAPP @t64 @t15) @t97)) @t92))) % 0.31/0.85 (assume @p34 (forall @t101 (or (not (= (tptp.hAPP @t73 @t48) @t100)) @t99))) % 0.31/0.85 (assume @p35 (forall @t105 (or @t104 (not @t103)))) % 0.31/0.85 (assume @p36 (forall (@list @t51 @t19 @t48 @t44) (or @t103 (not @t104)))) % 0.31/0.85 (assume @p37 (forall (@list @t51 @t106 @t21 @t19 @t107) (or @t111 (not @t109)))) % 0.31/0.85 (assume @p38 (forall (@list @t51 @t19 @t107 @t21 @t106) (or @t109 (not @t111)))) % 0.31/0.85 (assume @p39 (forall (@list @t51 @t112 @t113 @t19 @t107) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t112) @t113)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t113) @t112)))))) % 0.31/0.85 (assume @p40 (forall (@list @t51 @t19 @t107 @t106 @t21) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t108 @t106) @t21)) @t114))) % 0.31/0.85 (assume @p41 (forall @t115 (or @t68 @t63 (not @t66)))) % 0.31/0.85 (assume @p42 (forall @t116 (= (tptp.hAPP (tptp.hAPP @t3 @t65) @t15) (tptp.hAPP @t64 @t97)))) % 0.31/0.85 (assume @p43 (forall @t101 (= (tptp.hAPP @t73 @t118) (tptp.hAPP @t117 @t100)))) % 0.31/0.85 (assume @p44 (= (tptp.hAPP @t71 @t42) @t42)) % 0.31/0.85 (assume @p45 (forall (@list @t51 @t49 @t46 @t19 @t44) (or @t120 (tptp.c_ListOrder_Ostep1 @t51 (tptp.c_List_Oappend @t49 @t44 @t19) @t119 @t19)))) % 0.31/0.85 (assume @p46 (forall (@list @t51 @t44 @t122 @t19 @t121) (or (tptp.c_ListOrder_Ostep1 @t51 (tptp.c_List_Oappend @t44 @t122 @t19) (tptp.c_List_Oappend @t44 @t121 @t19) @t19) (not (tptp.c_ListOrder_Ostep1 @t51 @t122 @t121 @t19))))) % 0.31/0.85 (assume @p47 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.31/0.85 (assume @p48 (forall @t27 (= (tptp.c_List_Orotate1 @t43 @t19) @t43))) % 0.31/0.85 (assume @p49 (forall (@list @t44 @t48 @t46 @t49 @t51 @t19) (or @t84 @t123 @t91))) % 0.31/0.85 (assume @p50 (forall (@list @t51 @t48 @t124 @t44 @t19) (or (not (tptp.hBOOL (tptp.hAPP @t54 @t124))) (tptp.c_ListOrder_Ostep1 @t51 (tptp.c_List_Olist_OCons @t48 @t44 @t19) (tptp.c_List_Olist_OCons @t124 @t44 @t19) @t19)))) % 0.31/0.85 (assume @p51 (forall @t87 (or @t86 @t92))) % 0.31/0.85 (assume @p52 (forall (@list @t51 @t19 @t21) (tptp.hBOOL (tptp.hAPP @t125 @t21)))) % 0.31/0.85 (assume @p53 (forall (@list @t51 @t19 @t44) (tptp.hBOOL (tptp.hAPP @t126 @t44)))) % 0.31/0.85 (assume @p54 (forall @t132 (or @t131 @t130 @t128))) % 0.31/0.85 (assume @p55 (forall @t132 (or @t131 @t128 @t130))) % 0.31/0.85 (assume @p56 (forall (@list @t51 @t19 @t44 @t98 @t48) (or (tptp.hBOOL (tptp.hAPP @t126 @t98)) (not (tptp.hBOOL (tptp.hAPP @t102 @t98))) (not @t133)))) % 0.31/0.85 (assume @p57 (forall (@list @t9) (or (tptp.c_Wellfounded_Oaccp @t135 @t9 tptp.tc_Lambda_OdB) @t134))) % 0.31/0.85 (assume @p58 (forall @t137 (or @t136 (not (tptp.c_Wellfounded_Oaccp @t135 @t51 tptp.tc_Lambda_OdB))))) % 0.31/0.85 (assume @p59 (forall @t139 (or (not (= (tptp.c_List_Orotate1 @t46 @t19) @t43)) @t138))) % 0.31/0.85 (assume @p60 (forall @t101 (or @t141 (not @t140)))) % 0.31/0.85 (assume @p61 (forall @t101 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t44 @t98 tptp.tc_nat))))) % 0.31/0.85 (assume @p62 (forall @t143 (or @t33 (not (tptp.c_HOL_Oord__class_Oless @t142 @t15 tptp.tc_nat))))) % 0.31/0.85 (assume @p63 (forall (@list @t6 @t2 @t62) (or (tptp.c_HOL_Oord__class_Oless @t6 (tptp.hAPP @t4 @t62) tptp.tc_nat) @t144))) % 0.31/0.85 (assume @p64 (forall (@list @t6 @t62 @t2) (or (tptp.c_HOL_Oord__class_Oless @t6 (tptp.hAPP @t64 @t2) tptp.tc_nat) @t144))) % 0.31/0.85 (assume @p65 (forall @t67 (= @t65 @t145))) % 0.31/0.85 (assume @p66 (forall (@list @t62 @t147 @t15 @t28) (or (not (= (tptp.hAPP @t64 @t147) @t93)) @t148 @t146))) % 0.31/0.85 (assume @p67 (forall @t150 (or (not (tptp.class_Nat_Osemiring__char__0 @t19)) (not (= @t89 @t149)) @t92))) % 0.31/0.85 (assume @p68 (forall @t67 (or (not (= @t65 @t62)) @t151))) % 0.31/0.85 (assume @p69 (forall (@list @t44 @t21) (or (not (= @t44 (tptp.hAPP @t73 @t21))) (= @t21 @t42)))) % 0.31/0.85 (assume @p70 (forall @t67 (or @t152 @t83))) % 0.31/0.85 (assume @p71 (forall @t67 (or @t152 @t151))) % 0.31/0.85 (assume @p72 (forall @t105 (or @t133 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t44) @t48)))))) % 0.31/0.85 (assume @p73 (forall (@list @t51 @t19 @t46) (not (tptp.c_ListOrder_Ostep1 @t51 @t43 @t46 @t19)))) % 0.31/0.85 (assume @p74 (forall (@list @t51 @t46 @t19) (not (tptp.c_ListOrder_Ostep1 @t51 @t46 @t43 @t19)))) % 0.31/0.85 (assume @p75 (forall @t27 (= (tptp.c_Predicate_Oconversep @t153 @t19 @t19) @t153))) % 0.31/0.85 (assume @p76 (forall @t154 (or @t53 @t123 @t91))) % 0.31/0.85 (assume @p77 (forall @t156 (or @t60 (= (tptp.c_List_Olistsum @t90 @t19) (tptp.hAPP @t155 @t59))))) % 0.31/0.85 (assume @p78 (forall (@list @t28 @t44 @t19 @t15) (= (tptp.c_List_Oappend @t157 @t158 @t19) (tptp.c_List_Oappend @t158 @t157 @t19)))) % 0.31/0.85 (assume @p79 (forall (@list @t6 @t15 @t2 @t147) (or (tptp.c_HOL_Oord__class_Oless @t159 (tptp.hAPP @t4 @t147) tptp.tc_nat) @t148 @t144))) % 0.31/0.85 (assume @p80 (forall @t150 (or @t24 @t161 @t160))) % 0.31/0.85 (assume @p81 (forall @t150 (or @t24 @t146 (not @t161)))) % 0.31/0.85 (assume @p82 (forall (@list @t28 @t62 @t44 @t19) (= (tptp.c_List_Oreplicate @t145 @t44 @t19) (tptp.c_List_Oappend @t157 @t85 @t19)))) % 0.31/0.85 (assume @p83 (forall (@list @t51 @t19 @t107) (= (tptp.c_Predicate_Oconversep @t108 @t107 @t19) @t51))) % 0.31/0.85 (assume @p84 (forall (@list @t6 @t2) (not (tptp.c_HOL_Oord__class_Oless @t142 @t6 tptp.tc_nat)))) % 0.31/0.85 (assume @p85 (forall (@list @t2 @t6) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t4 @t6) @t6 tptp.tc_nat)))) % 0.31/0.85 (assume @p86 (forall @t143 (or (tptp.c_HOL_Oord__class_Oless @t159 (tptp.hAPP @t4 @t15) tptp.tc_nat) @t144))) % 0.31/0.85 (assume @p87 (forall @t116 (or @t146 (not @t162)))) % 0.31/0.85 (assume @p88 (forall @t95 (or @t162 @t160))) % 0.31/0.85 (assume @p89 (forall @t154 (or @t53 @t55 @t91))) % 0.31/0.85 (assume @p90 (forall (@list @t51 @t44 @t49 @t19 @t46) (or (tptp.c_ListOrder_Ostep1 @t51 (tptp.c_List_Olist_OCons @t44 @t49 @t19) @t90 @t19) @t120))) % 0.31/0.85 (assume @p91 (forall @t150 (or @t32 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t65 @t19) (tptp.hAPP (tptp.hAPP @t22 @t89) @t149))))) % 0.31/0.85 (assume @p92 (forall @t164 (or @t60 (= (tptp.c_List_Olistsum @t163 @t19) (tptp.hAPP (tptp.hAPP @t22 @t59) (tptp.c_List_Olistsum @t49 @t19)))))) % 0.31/0.85 (assume @p93 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t129 @t165))) @t114))) % 0.31/0.85 (assume @p94 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t110 @t165))) (not (tptp.hBOOL (tptp.hAPP @t125 @t106)))))) % 0.31/0.85 (assume @p95 (forall (@list @t51 @t48 @t19 @t21) (or (tptp.c_Wellfounded_Oaccp @t51 @t48 @t19) (not (tptp.hBOOL (tptp.hAPP @t54 @t21))) @t128))) % 0.31/0.85 (assume @p96 (forall (@list @t51 @t21 @t19 @t106) (or @t127 @t114 (not @t131)))) % 0.31/0.85 (assume @p97 (forall @t27 (or @t32 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t42 @t19) @t26)))) % 0.31/0.85 (assume @p98 (forall @t27 (or @t60 (= (tptp.c_List_Olistsum @t43 @t19) @t26)))) % 0.31/0.85 (assume @p99 (forall @t168 (= @t88 @t43))) % 0.31/0.85 (assume @p100 (forall @t169 (= @t43 @t88))) % 0.31/0.85 (assume @p101 (forall (@list @t28 @t44 @t19) (or (not (= @t157 @t43)) @t151))) % 0.31/0.85 (assume @p102 (forall (@list @t19 @t28 @t44) (or (not (= @t43 @t157)) @t151))) % 0.31/0.85 (assume @p103 (forall (@list @t28 @t44 @t19 @t46) (= (tptp.c_List_Oappend @t157 @t90 @t19) (tptp.c_List_Olist_OCons @t44 (tptp.c_List_Oappend @t157 @t46 @t19) @t19)))) % 0.31/0.85 (assume @p104 (forall (@list @t7 @t9 @t170 @t173) (or (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t175 @t173))) @t174 @t172))) % 0.31/0.85 (assume @p105 (forall (@list @t7 @t9 @t170) (or (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t175 @t9))) @t172))) % 0.31/0.85 (assume @p106 (forall (@list @t7 @t9 @t173) (or (tptp.hBOOL (tptp.hAPP @t178 (tptp.hAPP @t176 @t173))) @t174))) % 0.31/0.85 (assume @p107 (forall (@list @t7 @t170) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t18) (tptp.c_Lambda_OdB_OAbs @t170))) @t172))) % 0.31/0.85 (assume @p108 (forall @t181 (or @t180 @t179))) % 0.31/0.85 (assume @p109 (forall @t185 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t184) @t183)) @t182))) % 0.31/0.85 (assume @p110 (forall @t181 (or @t180 @t182))) % 0.31/0.85 (assume @p111 (forall @t189 (or @t188 @t187 @t174))) % 0.31/0.85 (assume @p112 (forall @t191 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t190) @t8)) @t182))) % 0.31/0.85 (assume @p113 (forall (@list @t44 @t46 @t107) (= (tptp.c_List_Orotate1 @t193 @t107) (tptp.c_List_Oappend @t46 (tptp.c_List_Olist_OCons @t44 @t192 @t107) @t107)))) % 0.31/0.85 (assume @p114 (forall (@list @t49 @t46 @t51 @t19 @t48 @t44) (or @t57 @t53 @t52))) % 0.31/0.85 (assume @p115 (forall (@list @t6 @t44 @t19) (= (tptp.c_List_Oappend @t194 @t45 @t19) (tptp.c_List_Olist_OCons @t44 @t194 @t19)))) % 0.31/0.85 (assume @p116 (forall @t61 (or @t60 (= @t59 @t195)))) % 0.31/0.85 (assume @p117 (forall @t200 (or (not (tptp.c_Wellfounded_Oaccp @t135 @t199 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t135 @t7 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t135 @t198 tptp.tc_Lambda_OdB)))) % 0.31/0.85 (assume @p118 (forall @t203 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t202) @t201)) @t182))) % 0.31/0.85 (assume @p119 (forall (@list @t51 @t204 @t196) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t51 @t204 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t202)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t204 @t196 tptp.tc_Lambda_OdB))))) % 0.31/0.85 (assume @p120 (forall @t82 (or @t81 (= @t51 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t78 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t76))) % 0.31/0.85 (assume @p121 (forall @t206 (or (= @t205 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t13 @t28))) @t33))) % 0.31/0.85 (assume @p122 (forall @t208 (or @t24 @t68 (not @t207)))) % 0.31/0.85 (assume @p123 (forall @t208 (or @t24 @t207 @t69))) % 0.31/0.85 (assume @p124 (forall (@list @t44 @t7 @t9) (or (= @t209 @t38) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t7) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t209 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.31/0.85 (assume @p125 (forall (@list @t9 @t39 @t210) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t79) @t210) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 (tptp.c_List_Oappend @t39 (tptp.c_List_Olist_OCons @t210 @t38 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.85 (assume @p126 (forall (@list @t51 @t7 @t124) (or (not (= @t51 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t80 @t124 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t80 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t80 (tptp.c_List_Oappend @t124 @t77 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.31/0.85 (assume @p127 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.31/0.85 (assume @p128 (forall (@list @t204 @t28 @t211) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t204 @t215 tptp.tc_Lambda_OdB) @t214))) % 0.31/0.85 (assume @p129 (forall @t218 (or (= (tptp.c_Lambda_Osubstn @t34 @t7 @t15) @t34) @t217 @t216))) % 0.31/0.85 (assume @p130 (forall @t206 (or (= @t205 @t34) @t219))) % 0.31/0.85 (assume @p131 (forall @t36 (or (= @t35 @t34) @t219))) % 0.31/0.85 (assume @p132 (forall (@list @t19 @t46 @t21) (or @t221 (= (tptp.c_List_Ofoldr @t22 @t46 @t21 @t19 @t19) @t220)))) % 0.31/0.85 (assume @p133 (forall (@list @t2 @t210 @t6) (or (= (tptp.c_Lambda_Osubst @t223 @t210 @t6) @t223) @t222))) % 0.31/0.85 (assume @p134 (forall @t218 (or (= (tptp.c_Lambda_Osubst @t34 @t7 @t15) @t34) @t217 @t216))) % 0.31/0.85 (assume @p135 (forall @t226 (or @t225 (= (tptp.c_Lambda_Osubst @t224 @t7 @t44) @t7)))) % 0.31/0.85 (assume @p136 (forall (@list @t51 @t7) (= @t80 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t80 @t38 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.85 (assume @p137 (forall (@list @t51 @t7 @t9) (or (not (= @t80 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t38 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t80 @t9)))) % 0.31/0.85 (assume @p138 (forall (@list @t19 @t44 @t227) (or @t60 (= (tptp.hAPP @t155 (tptp.c_List_Ofoldl @t22 @t26 @t227 @t19 @t19)) (tptp.c_List_Ofoldl @t22 @t44 @t227 @t19 @t19))))) % 0.31/0.85 (assume @p139 (forall (@list @t19 @t106 @t21) (or @t231 @t230 @t229))) % 0.31/0.85 (assume @p140 (forall @t236 (or @t231 @t235 @t233))) % 0.31/0.85 (assume @p141 (forall @t238 (or @t237 @t233 @t235))) % 0.31/0.85 (assume @p142 (forall @t240 (or @t239 @t229 @t230))) % 0.31/0.85 (assume @p143 (forall @t245 (or @t244 @t228 (not @t243)))) % 0.31/0.85 (assume @p144 (forall @t246 (or @t244 @t243 @t229))) % 0.31/0.85 (assume @p145 (forall @t246 (or @t247 @t243 @t229))) % 0.31/0.85 (assume @p146 (forall @t245 (or @t244 @t228 (not @t251)))) % 0.31/0.85 (assume @p147 (forall @t252 (or @t244 @t251 @t229))) % 0.31/0.85 (assume @p148 (forall @t252 (or @t247 @t251 @t229))) % 0.31/0.85 (assume @p149 (forall @t255 (or @t24 (tptp.c_HOL_Oord__class_Oless @t106 @t250 @t19) (not (tptp.c_HOL_Oord__class_Oless @t106 @t165 @t19)) @t254))) % 0.31/0.85 (assume @p150 (forall (@list @t40 @t6 @t186 @t19 @t2) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t40 @t6 @t186 @t19) @t2) (tptp.hAPP @t40 @t2)) @t222))) % 0.31/0.85 (assume @p151 (not (tptp.c_HOL_Oord__class_Oless @t42 @t42 tptp.tc_nat))) % 0.31/0.85 (assume @p152 (forall (@list @t256 @t46 @t49 @t19) (or @t259 (not @t258) (not @t257)))) % 0.31/0.85 (assume @p153 (forall @t72 (or @t68 @t151))) % 0.31/0.85 (assume @p154 (forall (@list @t19 @t21 @t165 @t106 @t260) (or @t247 (tptp.c_HOL_Oord__class_Oless @t250 @t261 @t19) (not (tptp.c_HOL_Oord__class_Oless @t165 @t260 @t19)) @t229))) % 0.31/0.85 (assume @p155 (forall @t238 (or @t237 @t84 @t232 @t234))) % 0.31/0.85 (assume @p156 (forall @t236 (or @t237 @t234 @t84 @t232))) % 0.31/0.85 (assume @p157 (forall @t236 (or @t237 @t234 @t232 @t84))) % 0.31/0.85 (assume @p158 (forall (@list @t48 @t44) (or (tptp.c_HOL_Oord__class_Oless @t48 @t44 tptp.tc_nat) @t140 @t84))) % 0.31/0.85 (assume @p159 (forall (@list @t263 @t28 @t62) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t28) @t62)) @t262 @t92 @t146))) % 0.31/0.85 (assume @p160 (forall @t115 (or @t262 @t146 @t92))) % 0.31/0.85 (assume @p161 (forall @t238 (or @t237 @t84 @t234 @t232))) % 0.31/0.85 (assume @p162 (forall @t236 (or @t264 @t234 @t232 @t84))) % 0.31/0.85 (assume @p163 (forall @t240 (or @t266 (tptp.c_HOL_Oord__class_Oless @t26 @t265 @t19) (not (tptp.c_HOL_Oord__class_Oless @t26 @t106 @t19)) @t254))) % 0.31/0.85 (assume @p164 (forall @t169 (or @t231 @t267))) % 0.31/0.85 (assume @p165 (forall @t169 (or @t237 @t267))) % 0.31/0.85 (assume @p166 (forall @t169 (or @t239 @t267))) % 0.31/0.85 (assume @p167 (forall @t72 (not (tptp.c_HOL_Oord__class_Oless @t28 @t28 tptp.tc_nat)))) % 0.31/0.85 (assume @p168 (forall @t74 (not @t225))) % 0.31/0.85 (assume @p169 (forall @t25 (or @t264 @t271 @t269))) % 0.31/0.85 (assume @p170 (forall @t25 (or @t264 @t268 @t272))) % 0.31/0.85 (assume @p171 (forall @t25 (or @t273 @t268 @t272))) % 0.31/0.85 (assume @p172 (forall @t25 (or @t273 @t271 @t269))) % 0.31/0.85 (assume @p173 (forall @t25 (or @t273 (not (= @t270 @t26)) @t274))) % 0.31/0.85 (assume @p174 (forall (@list @t19 @t44 @t21) (or @t276 @t275 (not (= @t44 (tptp.hAPP @t155 @t21))) @t274))) % 0.31/0.85 (assume @p175 (forall (@list @t19 @t44 @t48 @t227) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t19)) (= (tptp.c_List_Ofoldl @t22 @t277 @t227 @t19 @t19) (tptp.hAPP @t155 (tptp.c_List_Ofoldl @t22 @t48 @t227 @t19 @t19)))))) % 0.31/0.85 (assume @p176 (forall @t238 (or @t279 (= @t277 (tptp.hAPP @t278 @t44))))) % 0.31/0.85 (assume @p177 (forall @t240 (or @t281 (= @t265 @t280)))) % 0.31/0.85 (assume @p178 (forall (@list @t19 @t21 @t165) (or @t279 (= @t250 @t242)))) % 0.31/0.85 (assume @p179 (forall (@list @t256 @t19) (tptp.c_List_Olistsp @t256 @t43 @t19))) % 0.31/0.85 (assume @p180 (forall (@list @t256 @t49 @t19 @t46) (or @t258 @t282))) % 0.31/0.85 (assume @p181 (forall (@list @t256 @t46 @t19 @t49) (or @t257 @t282))) % 0.31/0.85 (assume @p182 (forall @t27 (or @t273 (= (tptp.hAPP @t283 @t26) @t26)))) % 0.31/0.85 (assume @p183 (forall (@list @t19 @t44 @t98 @t48) (or @t231 (tptp.c_HOL_Oord__class_Oless @t44 @t98 @t19) (not (tptp.c_HOL_Oord__class_Oless @t48 @t98 @t19)) @t233))) % 0.31/0.85 (assume @p184 (forall (@list @t19 @t98 @t44 @t48) (or @t239 (tptp.c_HOL_Oord__class_Oless @t98 @t44 @t19) (not (tptp.c_HOL_Oord__class_Oless @t98 @t48 @t19)) @t235))) % 0.31/0.85 (assume @p185 (forall @t285 (or @t279 (= @t284 (tptp.hAPP (tptp.hAPP @t22 @t277) @t98))))) % 0.31/0.85 (assume @p186 (forall @t285 (or @t287 (= @t284 (tptp.hAPP @t278 @t286))))) % 0.31/0.85 (assume @p187 (forall @t245 (or @t281 @t291))) % 0.31/0.85 (assume @p188 (forall @t245 (or @t281 (= @t288 (tptp.hAPP @t248 @t250))))) % 0.31/0.85 (assume @p189 (forall @t245 (or @t221 @t291))) % 0.31/0.85 (assume @p190 (forall @t295 (or @t279 (= @t294 (tptp.hAPP @t292 @t260))))) % 0.31/0.85 (assume @p191 (forall @t245 (or @t279 (= @t290 (tptp.hAPP @t292 @t106))))) % 0.31/0.85 (assume @p192 (forall @t295 (or @t279 (= @t294 (tptp.hAPP @t241 (tptp.hAPP @t23 @t260)))))) % 0.31/0.85 (assume @p193 (forall @t245 (or @t279 @t291))) % 0.31/0.85 (assume @p194 (forall @t70 (not (tptp.c_HOL_Oord__class_Oless @t62 @t42 tptp.tc_nat)))) % 0.31/0.85 (assume @p195 (forall @t72 (not (tptp.c_HOL_Oord__class_Oless @t28 @t42 tptp.tc_nat)))) % 0.31/0.85 (assume @p196 (forall (@list @t19 @t44 @t48 @t98 @t210) (or @t287 (not (= @t284 (tptp.hAPP @t278 @t210))) (= @t286 @t210)))) % 0.31/0.85 (assume @p197 (forall @t240 (or @t266 (tptp.c_HOL_Oord__class_Oless @t265 @t26 @t19) (not (tptp.c_HOL_Oord__class_Oless @t106 @t26 @t19)) @t269))) % 0.31/0.85 (assume @p198 (forall @t285 (or @t276 @t275 (not (= @t277 @t286)) @t99))) % 0.31/0.85 (assume @p199 (forall @t245 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t19)) @t297 @t296))) % 0.31/0.85 (assume @p200 (forall @t245 (or @t298 @t297 @t296))) % 0.31/0.85 (assume @p201 (forall @t255 (or @t298 (not (= @t280 @t242)) @t296))) % 0.31/0.85 (assume @p202 (forall (@list @t19 @t21 @t106 @t165 @t260) (or @t279 (= (tptp.hAPP @t289 @t293) (tptp.hAPP @t292 @t261))))) % 0.31/0.85 (assume @p203 (forall @t169 (or @t279 (= (tptp.hAPP @t283 @t44) @t44)))) % 0.31/0.85 (assume @p204 (forall @t25 (or @t281 @t299))) % 0.31/0.85 (assume @p205 (forall @t169 (or @t276 @t275 (= @t44 (tptp.hAPP @t155 @t26))))) % 0.31/0.85 (assume @p206 (forall @t25 (or @t281 @t300))) % 0.31/0.85 (assume @p207 (forall @t25 (or @t60 @t299))) % 0.31/0.85 (assume @p208 (forall @t25 (or @t60 @t300))) % 0.31/0.85 (assume @p209 (forall @t25 (or @t279 @t300))) % 0.31/0.85 (assume @p210 (forall @t25 (or @t279 @t299))) % 0.31/0.85 (assume @p211 (forall @t25 (or @t273 @t253 (not @t301)))) % 0.31/0.85 (assume @p212 (forall @t25 (or @t273 @t301 @t254))) % 0.31/0.85 (assume @p213 (forall @t137 (= @t302 @t197))) % 0.31/0.85 (assume @p214 (forall @t305 (or @t304 @t303))) % 0.31/0.85 (assume @p215 (forall @t137 (= @t197 @t302))) % 0.31/0.85 (assume @p216 (forall @t200 (or @t306 @t303))) % 0.31/0.85 (assume @p217 (forall @t309 (or @t308 @t303))) % 0.31/0.85 (assume @p218 (forall @t70 (= @t307 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t307 @t38 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.85 (assume @p219 (forall (@list @t19 @t21 @t46) (or @t60 (= @t220 (tptp.hAPP @t23 @t195))))) % 0.31/0.85 (assume @p220 (forall @t61 (or @t60 (= @t58 @t195)))) % 0.31/0.85 (assume @p221 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t311 tptp.v_T_Ha______)) % 0.31/0.85 (assume @p222 (forall (@list @t211 @t28 @t204) (or (= @t211 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t212 @t215 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t214))) % 0.31/0.85 (assume @p223 (forall (@list @t28 @t204) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t213)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t204 tptp.tc_Lambda_OdB))))) % 0.31/0.85 (assume @p224 (forall @t226 (or @t225 (= (tptp.c_Lambda_Osubstn @t224 @t7 @t44) (tptp.c_Lambda_Oliftn @t44 @t7 @t42))))) % 0.31/0.85 (assume @p225 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.31/0.85 (assume @p226 (forall @t317 (= (tptp.c_Type_Otype_Otype__case @t313 @t316 @t315 @t19) @t314))) % 0.31/0.85 (assume @p227 (forall (@list @t318 @t21 @t46 @t49 @t107 @t19) (= (tptp.c_List_Ofoldl @t318 @t21 @t319 @t19 @t107) (tptp.c_List_Ofoldl @t318 (tptp.c_List_Ofoldl @t318 @t21 @t46 @t19 @t107) @t49 @t19 @t107)))) % 0.31/0.85 (assume @p228 (forall @t321 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t18) @t30)) @t320))) % 0.31/0.85 (assume @p229 (forall (@list @t7 @t9 @t28 @t196) (not (= @t323 @t322)))) % 0.31/0.85 (assume @p230 (forall @t27 (= @t43 @t324))) % 0.31/0.85 (assume @p231 (forall @t326 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t325 @t34))) @t134))) % 0.31/0.85 (assume @p232 (forall (@list @t44 @t46 @t19) (= @t90 @t327))) % 0.31/0.85 (assume @p233 (forall (@list @t46 @t44 @t19) (not (= @t46 @t90)))) % 0.31/0.85 (assume @p234 (forall (@list @t44 @t9 @t19) (not (= (tptp.c_List_Olist_OCons @t44 @t9 @t19) @t9)))) % 0.31/0.85 (assume @p235 (forall @t191 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t190) @t8)) @t179))) % 0.31/0.85 (assume @p236 (forall @t137 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t197)) @t328))) % 0.31/0.85 (assume @p237 (forall (@list @t40 @t121 @t186 @t332 @t6 @t39 @t37) (or (tptp.c_Type_Otypings @t40 @t121 @t334) @t333 @t331 @t330))) % 0.31/0.85 (assume @p238 (forall (@list @t263 @t313 @t316 @t312) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Type_Otype_Otype__case @t313 @t316 @t315 tptp.t_a)))) @t335))) % 0.31/0.85 (assume @p239 (forall (@list @t263 @t313 @t316 @t336) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Type_Otype_Otype__case @t313 @t316 (tptp.c_Type_Otype_OAtom @t336) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 (tptp.hAPP @t313 @t336)))))) % 0.31/0.85 (assume @p240 (forall (@list @t338 @t337 @t19) (not (= @t339 @t43)))) % 0.31/0.85 (assume @p241 (forall (@list @t44 @t124 @t19) (not (= @t340 @t43)))) % 0.31/0.85 (assume @p242 (forall (@list @t44 @t341 @t227 @t19) (= (tptp.c_List_Olist_OCons @t44 (tptp.c_List_Oappend @t341 @t227 @t19) @t19) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t44 @t341 @t19) @t227 @t19)))) % 0.31/0.85 (assume @p243 (forall (@list @t44 @t124 @t227 @t19) (= @t343 @t342))) % 0.31/0.85 (assume @p244 (forall (@list @t44 @t46 @t19 @t49) (= (tptp.c_List_Oappend @t90 @t49 @t19) (tptp.c_List_Olist_OCons @t44 @t163 @t19)))) % 0.31/0.85 (assume @p245 (forall (@list @t44 @t124 @t19 @t227) (= @t342 @t343))) % 0.31/0.85 (assume @p246 (forall @t200 (or @t306 (= @t197 @t7)))) % 0.31/0.85 (assume @p247 (forall (@list @t318 @t21 @t44 @t46 @t107 @t19) (= (tptp.c_List_Ofoldl @t318 @t21 @t193 @t19 @t107) (tptp.c_List_Ofoldl @t318 (tptp.hAPP (tptp.hAPP @t318 @t21) @t44) @t46 @t19 @t107)))) % 0.31/0.85 (assume @p248 (forall (@list @t263 @t186) (or @t345 (not (tptp.hBOOL (tptp.hAPP @t263 @t344)))))) % 0.31/0.85 (assume @p249 (forall @t349 (or (tptp.c_Type_Otypings @t40 @t39 @t348) @t347))) % 0.31/0.85 (assume @p250 (forall @t352 (= (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 @t350 @t19) @t314))) % 0.31/0.85 (assume @p251 (forall (@list @t40 @t186 @t9) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t40 @t42 @t355 tptp.tc_Type_Otype) @t9 @t354) @t353))) % 0.31/0.85 (assume @p252 (forall (@list @t9 @t7 @t28) (= (tptp.c_Lambda_Osubstn @t9 @t7 @t28) (tptp.c_Lambda_Osubst @t9 (tptp.c_Lambda_Oliftn @t28 @t7 @t42) @t28)))) % 0.31/0.85 (assume @p253 (forall @t359 (= (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 @t358 @t19) @t357))) % 0.31/0.85 (assume @p254 (forall (@list @t49 @t46 @t19 @t227) (or (not (= (tptp.c_List_Oappend @t49 @t46 @t19) (tptp.c_List_Oappend @t227 @t46 @t19))) @t360))) % 0.31/0.85 (assume @p255 (forall @t361 (or (not (= @t163 (tptp.c_List_Oappend @t46 @t227 @t19))) @t360))) % 0.31/0.85 (assume @p256 (forall @t139 (= @t362 @t46))) % 0.31/0.85 (assume @p257 (forall @t168 (= @t44 (tptp.c_List_Oappend @t43 @t44 @t19)))) % 0.31/0.85 (assume @p258 (forall @t139 (= @t46 @t362))) % 0.31/0.85 (assume @p259 (forall (@list @t19 @t49) (= @t363 @t49))) % 0.31/0.85 (assume @p260 (forall (@list @t49 @t19) (= @t49 @t363))) % 0.31/0.85 (assume @p261 (forall @t366 (or (not (= @t315 (tptp.c_Type_Otype_OAtom @t364))) @t365))) % 0.31/0.85 (assume @p262 (forall @t72 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t212)))) % 0.31/0.85 (assume @p263 (forall (@list @t312 @t367) (not (= @t350 @t368)))) % 0.31/0.85 (assume @p264 (forall @t200 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t198)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t7))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t199)))))) % 0.31/0.85 (assume @p265 (forall (@list @t318 @t21 @t107 @t19) (= (tptp.c_List_Ofoldl @t318 @t21 @t192 @t19 @t107) @t21))) % 0.31/0.85 (assume @p266 (forall (@list @t40 @t44 @t186 @t19) (= (tptp.hAPP (tptp.c_Type_Oshift @t40 @t44 @t186 @t19) @t44) @t186))) % 0.31/0.85 (assume @p267 (forall @t326 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t10)) @t134))) % 0.31/0.85 (assume @p268 (forall (@list @t28 @t39 @t51 @t196) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t212 @t39 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t197 @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.31/0.85 (assume @p269 (forall @t164 (or @t369 @t138))) % 0.31/0.85 (assume @p270 (forall @t164 (or @t369 @t370))) % 0.31/0.85 (assume @p271 (forall (@list @t356 @t367) (or (not (= @t358 @t368)) (= @t356 @t367)))) % 0.31/0.85 (assume @p272 (forall @t372 (or @t371 @t138))) % 0.31/0.85 (assume @p273 (forall @t372 (or @t371 @t370))) % 0.31/0.85 (assume @p274 (forall @t352 (= (tptp.c_Lambda_OdB_OdB__rec @t313 @t316 @t351 @t350 @t19) @t314))) % 0.31/0.85 (assume @p275 (forall @t309 (or @t308 (= @t307 @t7)))) % 0.31/0.85 (assume @p276 (forall @t317 (= (tptp.c_Type_Otype_Otype__rec @t313 @t316 @t315 @t19) @t314))) % 0.31/0.85 (assume @p277 (forall @t203 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t202) @t201)) @t179))) % 0.31/0.85 (assume @p278 (forall @t321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t323) (tptp.c_Lambda_Osubst @t7 @t9 @t42))))) % 0.31/0.85 (assume @p279 (forall @t375 (or @t374 @t373))) % 0.31/0.85 (assume @p280 (forall @t375 (or @t374 @t376))) % 0.31/0.85 (assume @p281 (forall @t305 (or @t304 (= @t7 @t197)))) % 0.31/0.85 (assume @p282 (forall (@list @t19 @t338 @t337) (not (= @t43 @t339)))) % 0.31/0.85 (assume @p283 (forall (@list @t6 @t9) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t34) @t9))))) % 0.31/0.85 (assume @p284 (forall @t359 (= (tptp.c_Lambda_OdB_OdB__rec @t313 @t316 @t351 @t358 @t19) (tptp.hAPP @t357 (tptp.c_Lambda_OdB_OdB__rec @t313 @t316 @t351 @t356 @t19))))) % 0.31/0.85 (assume @p285 (forall (@list @t9 @t15) (= (tptp.c_Lambda_Oliftn @t42 @t9 @t15) @t9))) % 0.31/0.85 (assume @p286 (forall @t349 (or (tptp.c_Type_Otypings @t40 @t39 @t377) @t347))) % 0.31/0.85 (assume @p287 (forall (@list @t9 @t7) (= (tptp.c_Lambda_Osubstn @t9 @t7 @t42) (tptp.c_Lambda_Osubst @t9 @t7 @t42)))) % 0.31/0.85 (assume @p288 (forall (@list @t263 @t313 @t316 @t351 @t356) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 @t358 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 @t357))))) % 0.31/0.85 (assume @p289 (forall (@list @t263 @t313 @t316 @t351 @t124) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 (tptp.c_Lambda_OdB_OAbs @t124) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 (tptp.hAPP @t351 @t124)))))) % 0.31/0.85 (assume @p290 (forall (@list @t51 @t6 @t2) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t51 @t34 @t2))) @t328))) % 0.31/0.85 (assume @p291 (forall @t372 (or (not (= @t163 @t46)) @t370))) % 0.31/0.85 (assume @p292 (forall @t372 (or (not (= @t46 @t163)) @t370))) % 0.31/0.85 (assume @p293 (forall @t372 (or (not (= @t163 @t49)) @t138))) % 0.31/0.85 (assume @p294 (forall (@list @t49 @t46 @t19) (or (not (= @t49 @t163)) @t138))) % 0.31/0.85 (assume @p295 (forall @t156 (= @t327 @t90))) % 0.31/0.85 (assume @p296 (forall @t380 (or @t379 (= @t21 @t338)))) % 0.31/0.85 (assume @p297 (forall @t380 (or @t379 (= @t378 @t337)))) % 0.31/0.85 (assume @p298 (forall @t382 (or @t381 @t373))) % 0.31/0.85 (assume @p299 (forall @t382 (or @t381 @t92))) % 0.31/0.85 (assume @p300 (forall (@list @t263 @t313 @t316 @t351 @t312) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 @t350 tptp.t_a)))) @t335))) % 0.31/0.85 (assume @p301 (forall (@list @t263 @t313 @t316 @t351 @t383) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 (tptp.c_Lambda_OdB_OVar @t383) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 (tptp.hAPP @t313 @t383)))))) % 0.31/0.85 (assume @p302 (forall @t366 (or (not (= @t350 (tptp.c_Lambda_OdB_OVar @t364))) @t365))) % 0.31/0.85 (assume @p303 (forall (@list @t40 @t39 @t186 @t6) (or (tptp.c_Type_Otypings @t40 @t39 @t385) @t384))) % 0.31/0.85 (assume @p304 (forall (@list @t367 @t312) (not (= @t368 @t350)))) % 0.31/0.85 (assume @p305 (forall @t387 (or @t386 @t123))) % 0.31/0.85 (assume @p306 (forall @t387 (or @t386 @t84))) % 0.31/0.85 (assume @p307 (forall @t27 (= @t324 @t43))) % 0.31/0.85 (assume @p308 (forall @t361 (= (tptp.c_List_Oappend @t163 @t227 @t19) (tptp.c_List_Oappend @t46 (tptp.c_List_Oappend @t49 @t227 @t19) @t19)))) % 0.31/0.85 (assume @p309 (forall (@list @t46 @t341 @t121 @t19) (= (tptp.c_List_Oappend @t46 (tptp.c_List_Oappend @t341 @t121 @t19) @t19) (tptp.c_List_Oappend (tptp.c_List_Oappend @t46 @t341 @t19) @t121 @t19)))) % 0.31/0.85 (assume @p310 (forall (@list @t227 @t44 @t19 @t49) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t227 @t44 @t19) @t49 @t19) (tptp.c_List_Oappend @t227 (tptp.c_List_Oappend @t44 @t49 @t19) @t19)))) % 0.31/0.85 (assume @p311 (forall (@list @t46 @t44 @t39 @t19) (= (tptp.c_List_Oappend @t46 (tptp.c_List_Oappend @t44 @t39 @t19) @t19) (tptp.c_List_Oappend @t119 @t39 @t19)))) % 0.31/0.85 (assume @p312 (forall (@list @t40 @t6 @t332 @t9 @t186) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t40 @t6 @t332 tptp.tc_Type_Otype) @t10 @t186) @t187))) % 0.31/0.85 (assume @p313 (forall (@list @t389 @t388 @t312) (not (= @t390 @t315)))) % 0.31/0.85 (assume @p314 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.31/0.85 (assume @p315 (forall @t392 (= (tptp.c_Lambda_Osubst @t391 @t7 @t15) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t9 @t7 @t15)) (tptp.c_Lambda_Osubst @t210 @t7 @t15))))) % 0.31/0.85 (assume @p316 (forall (@list @t394 @t393 @t367) (not (= @t395 @t368)))) % 0.31/0.85 (assume @p317 (forall (@list @t186 @t40 @t9) (or (= @t186 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t355) @t354)) @t353))) % 0.31/0.85 (assume @p318 (forall (@list @t367 @t394 @t393) (not (= @t368 @t395)))) % 0.31/0.85 (assume @p319 (forall @t189 (or @t188 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t9) @t173))) @t187))) % 0.31/0.85 (assume @p320 (forall (@list @t15 @t210) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t15) @t210 @t15) @t210))) % 0.31/0.85 (assume @p321 (forall (@list @t263 @t313 @t316 @t351 @t396 @t336) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t396) @t336) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 (tptp.hAPP (tptp.hAPP @t316 @t396) @t336)))))) % 0.31/0.85 (assume @p322 (forall (@list @t263 @t313 @t316 @t351 @t394 @t393) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 @t395 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 @t397))))) % 0.31/0.85 (assume @p323 (forall @t402 (or @t401 (= @t398 @t389)))) % 0.31/0.85 (assume @p324 (forall @t402 (or @t401 (= @t399 @t388)))) % 0.31/0.85 (assume @p325 (forall (@list @t318 @t44 @t46 @t107 @t21 @t19) (= (tptp.c_List_Ofoldr @t318 @t193 @t21 @t107 @t19) (tptp.hAPP (tptp.hAPP @t318 @t44) (tptp.c_List_Ofoldr @t318 @t46 @t21 @t107 @t19))))) % 0.31/0.85 (assume @p326 (forall (@list @t332 @t186 @t40 @t121 @t6 @t39 @t37) (or (= @t332 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t334 @t186 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t333 @t331 @t330))) % 0.31/0.85 (assume @p327 (forall (@list @t263 @t404 @t403 @t186) (or (not (= @t344 @t405)) @t345 (tptp.hBOOL (tptp.hAPP @t263 @t403))))) % 0.31/0.85 (assume @p328 (forall (@list @t263 @t406 @t44 @t186) (or (not (= @t344 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t406) @t44))) @t345 (tptp.hBOOL (tptp.hAPP @t263 @t406))))) % 0.31/0.85 (assume @p329 @t409) % 0.31/0.85 (assume @p330 (forall @t414 (or @t413 (= @t394 @t410)))) % 0.31/0.85 (assume @p331 (forall @t414 (or @t413 (= @t393 @t411)))) % 0.31/0.85 (assume @p332 (forall (@list @t186 @t332 @t40 @t6 @t39) (or (= @t186 @t332) @t333 @t384))) % 0.31/0.85 (assume @p333 @t417) % 0.31/0.85 (assume @p334 (tptp.c_Type_Otyping @t418 tptp.v_a____ tptp.v_T_H_H____)) % 0.31/0.85 (assume @p335 (forall (@list @t312 @t410 @t411) (not (= @t350 @t412)))) % 0.31/0.85 (assume @p336 (forall @t424 (or @t423 @t422 (not (tptp.c_Type_Otyping @t40 @t210 @t403)) @t420 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t40 @t6 @t403 tptp.tc_Type_Otype) @t9 @t419)) @t134))) % 0.31/0.85 (assume @p337 (forall @t424 (or @t423 @t422 (not (tptp.c_Type_Otyping @t40 @t210 @t404)) @t420 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t40 @t6 @t404 tptp.tc_Type_Otype) @t9 @t419)) @t134))) % 0.31/0.85 (assume @p338 (forall (@list @t408 @t9 @t186 @t332) (or (tptp.c_Type_Otyping @t408 @t30 @t407) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t408 @t42 @t186 tptp.tc_Type_Otype) @t9 @t332))))) % 0.31/0.85 (assume @p339 (= tptp.v_n____ tptp.v_i____)) % 0.31/0.85 (assume @p340 (forall (@list @t40 @t6 @t186) (or (= (tptp.hAPP @t40 @t6) @t186) (not (tptp.c_Type_Otyping @t40 @t34 @t186))))) % 0.31/0.85 (assume @p341 (forall (@list @t318 @t46 @t49 @t107 @t21 @t19) (= (tptp.c_List_Ofoldr @t318 @t319 @t21 @t107 @t19) (tptp.c_List_Ofoldr @t318 @t46 (tptp.c_List_Ofoldr @t318 @t49 @t21 @t107 @t19) @t107 @t19)))) % 0.31/0.85 (assume @p342 (forall (@list @t7 @t9 @t15) (= (tptp.c_Lambda_Olift @t177 @t15) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t7 @t15)) @t425)))) % 0.31/0.85 (assume @p343 (tptp.c_Type_Otyping @t418 @t310 @t416)) % 0.31/0.85 (assume @p344 (tptp.c_Type_Otyping @t418 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t310) tptp.v_a____) @t415)) % 0.31/0.85 (assume @p345 (tptp.c_Type_Otypings @t418 tptp.v_as____ tptp.v_Ts____)) % 0.31/0.85 (assume @p346 (forall @t426 (or (tptp.c_Type_Otyping @t40 @t9 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t348 @t186 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t347))) % 0.31/0.85 (assume @p347 (forall @t185 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t184) @t183)) @t179))) % 0.31/0.85 (assume @p348 (forall (@list @t40 @t6 @t186 @t39) (or (tptp.c_Type_Otyping @t40 @t34 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t385 @t186 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t384))) % 0.31/0.85 (assume @p349 (tptp.c_Type_Otyping @t418 @t311 tptp.v_T_H____)) % 0.31/0.85 (assume @p350 (forall (@list @t40 @t9 @t39 @t186 @t37) (or @t346 @t331 (not (tptp.c_Type_Otyping @t40 @t9 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t37 @t186 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.31/0.85 (assume @p351 (forall @t427 (= (tptp.c_Lambda_OdB_OdB__case @t313 @t316 @t351 @t395 @t19) @t397))) % 0.31/0.85 (assume @p352 (forall (@list @t40 @t210 @t186 @t9) (or (tptp.c_Type_Otyping @t40 @t210 @t429) @t428))) % 0.31/0.85 (assume @p353 (forall (@list @t318 @t107 @t21 @t19) (= (tptp.c_List_Ofoldr @t318 @t192 @t21 @t107 @t19) @t21))) % 0.31/0.85 (assume @p354 (= tptp.v_T____ @t416)) % 0.31/0.85 (assume @p355 (forall @t431 (= (tptp.c_Type_Otype_Otype__rec @t313 @t316 @t400 @t19) (tptp.hAPP (tptp.hAPP @t430 (tptp.c_Type_Otype_Otype__rec @t313 @t316 @t398 @t19)) (tptp.c_Type_Otype_Otype__rec @t313 @t316 @t399 @t19))))) % 0.31/0.85 (assume @p356 (forall @t431 (= (tptp.c_Type_Otype_Otype__case @t313 @t316 @t400 @t19) @t430))) % 0.31/0.85 (assume @p357 (forall (@list @t408 @t44) (tptp.c_Type_Otyping @t408 @t224 (tptp.hAPP @t408 @t44)))) % 0.31/0.85 (assume @p358 (forall (@list @t263 @t313 @t316 @t124 @t396) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Type_Otype_Otype__case @t313 @t316 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t124) @t396) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 (tptp.hAPP (tptp.hAPP @t316 @t124) @t396)))))) % 0.31/0.85 (assume @p359 (forall (@list @t263 @t313 @t316 @t398 @t399) (or (not (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Type_Otype_Otype__case @t313 @t316 @t400 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t263 @t430))))) % 0.31/0.85 (assume @p360 (forall @t427 (= (tptp.c_Lambda_OdB_OdB__rec @t313 @t316 @t351 @t395 @t19) (tptp.hAPP (tptp.hAPP @t397 (tptp.c_Lambda_OdB_OdB__rec @t313 @t316 @t351 @t394 @t19)) (tptp.c_Lambda_OdB_OdB__rec @t313 @t316 @t351 @t393 @t19))))) % 0.31/0.85 (assume @p361 (forall (@list @t312 @t389 @t388) (not (= @t315 @t390)))) % 0.31/0.85 (assume @p362 (forall (@list @t51 @t39 @t7) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t51 @t39 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t7 @t39 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t376))) % 0.31/0.85 (assume @p363 (forall (@list @t210 @t7 @t9) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t432 @t7)) (tptp.hAPP @t432 @t9))) @t320))) % 0.31/0.85 (assume @p364 (forall (@list @t7 @t210 @t9) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t176 @t210)) @t391)) @t320))) % 0.31/0.85 (assume @p365 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.31/0.85 (assume @p366 (forall (@list @t28 @t7 @t9 @t15) (= (tptp.c_Lambda_Oliftn @t28 @t177 @t15) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t28 @t7 @t15)) (tptp.c_Lambda_Oliftn @t28 @t9 @t15))))) % 0.31/0.85 (assume @p367 (forall (@list @t9 @t15 @t7) (= (tptp.c_Lambda_Osubst @t425 @t7 @t15) @t9))) % 0.31/0.85 (assume @p368 (forall @t426 (or (tptp.c_Type_Otyping @t40 @t9 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t377 @t186 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t347))) % 0.31/0.85 (assume @p369 (forall (@list @t433 @t210 @t332 @t6 @t9 @t186) (or (not (tptp.c_Type_Otyping @t433 @t210 @t332)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t433 @t6 @t332 tptp.tc_Type_Otype) @t9 @t186)) (tptp.c_Type_Otyping @t433 @t421 @t186)))) % 0.31/0.85 (assume @p370 (forall @t392 (= (tptp.c_Lambda_Osubstn @t391 @t7 @t15) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t9 @t7 @t15)) (tptp.c_Lambda_Osubstn @t210 @t7 @t15))))) % 0.31/0.85 (assume @p371 (forall (@list @t40 @t9 @t186 @t210) (or (tptp.c_Type_Otyping @t40 @t9 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t429) @t186)) @t428))) % 0.31/0.85 (assume @p372 (forall (@list @t410 @t411 @t312) (not (= @t412 @t350)))) % 0.31/0.85 (assume @p373 @t435) % 0.31/0.85 (assume @p374 (not @t436)) % 0.31/0.85 (assume @p375 (forall @t440 (or (tptp.class_Orderings_Opreorder @t439) (not (tptp.class_Orderings_Opreorder @t437))))) % 0.31/0.85 (assume @p376 (forall @t440 (or (tptp.class_Orderings_Oorder @t439) (not (tptp.class_Orderings_Oorder @t437))))) % 0.31/0.85 (assume @p377 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.31/0.85 (assume @p378 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.31/0.85 (assume @p379 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.31/0.85 (assume @p380 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.31/0.85 (assume @p381 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.31/0.85 (assume @p382 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.31/0.85 (assume @p383 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.31/0.85 (assume @p384 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.31/0.85 (assume @p385 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.31/0.85 (assume @p386 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.31/0.85 (assume @p387 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.31/0.85 (assume @p388 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.31/0.85 (assume @p389 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.31/0.85 (assume @p390 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.31/0.85 (assume @p391 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.31/0.85 (assume @p392 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.31/0.85 (assume @p393 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.31/0.85 (assume @p394 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.31/0.85 (assume @p395 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.31/0.85 (assume @p396 (forall @t169 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t44) @t44)))) % 0.31/0.85 (assume @p397 (forall (@list @t442 @t441 @t19) (or (= @t442 @t441) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t442) @t441)))))) % 0.31/0.85 (step @p398 :rule cnf_or_pos :args (@t445)) % 0.31/0.85 (step @p399 :rule reordering :premises (@p398) :args ((or @t436 @t443 @t444 @t446))) % 0.31/0.85 (step @p400 :rule chain_m_resolution :premises (@p399 @p374 @p333 @p373) :args (@t446 (@list true false false) (@list @t436 @t417 @t435))) % 0.31/0.85 (assume-push @p407 @t409) % 0.31/0.85 (step @p402 :rule instantiate :premises (@p329) :args ((@list tptp.v_e____ tptp.v_u____ @t434 @t415 tptp.v_T_H_H____))) % 0.31/0.85 (step-pop @p408 :rule scope :premises (@p402)) % 0.31/0.85 (step @p403 :rule process_scope :premises (@p408) :args (@t445)) % 0.31/0.85 (step @p405 :rule implies_elim :premises (@p403)) % 0.31/0.85 (step @p406 false :rule chain_m_resolution :premises (@p405 @p400 @p329) :args (false (@list true false) (@list @t445 @t409))) % 0.31/0.85 ) % 0.31/0.85 % SZS output end Proof % 0.31/0.86 % cvc5 exiting %------------------------------------------------------------------------------