%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL814-1 : 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 : n004.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 11:23:56 AM UTC 2026 % Result : Unsatisfiable 0.35s 1.02s % Output : Proof 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL814-1 : 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 % 0.09/0.35 % Computer : n004.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 02:13:29 UTC 2026 % 0.09/0.36 % CPUTime : % 0.29/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/1.02 % SZS status Unsatisfiable % 0.35/1.02 % SZS output start Proof % 0.77/1.06 ( % 0.77/1.06 (declare-sort $$unsorted 0) % 0.77/1.06 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.77/1.06 (declare-const tptp.c_List_Osko__List__Xmap__eq__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Osko__List__Xmap__idI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.v_u____ $$unsorted) % 0.77/1.06 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Osko__List__Xmap__ext__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.v_Ts____ $$unsorted) % 0.77/1.06 (declare-const tptp.v_rs____ $$unsorted) % 0.77/1.06 (declare-const tptp.v_T_H____ $$unsorted) % 0.77/1.06 (declare-const tptp.v_i____ $$unsorted) % 0.77/1.06 (declare-const tptp.v_as____ $$unsorted) % 0.77/1.06 (declare-const tptp.v_T____ $$unsorted) % 0.77/1.06 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.77/1.06 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.v_e____ $$unsorted) % 0.77/1.06 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.tc_nat $$unsorted) % 0.77/1.06 (declare-const tptp.c_List_Osko__List__Xmap__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.v_a____ $$unsorted) % 0.77/1.06 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.77/1.06 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.v_n____ $$unsorted) % 0.77/1.06 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.77/1.06 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.77/1.06 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.tc_bool $$unsorted) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.77/1.06 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.77/1.06 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 0.77/1.06 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.06 (define @t1 () (@var "T_a" $$unsorted)) % 0.77/1.06 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.77/1.06 (define @t3 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.77/1.06 (define @t4 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.77/1.06 (define @t5 () (@list @t1)) % 0.77/1.06 (define @t6 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.77/1.06 (define @t7 () (tptp.tc_List_Olist @t1)) % 0.77/1.06 (define @t8 () (@var "V_xs" $$unsorted)) % 0.77/1.06 (define @t9 () (tptp.c_Nat_Osize__class_Osize @t8 @t7)) % 0.77/1.06 (define @t10 () (@var "V_i" $$unsorted)) % 0.77/1.06 (define @t11 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t9 tptp.tc_nat))) % 0.77/1.06 (define @t12 () (@var "V_x" $$unsorted)) % 0.77/1.06 (define @t13 () (tptp.c_List_Olist__update @t8 @t10 @t12 @t1)) % 0.77/1.06 (define @t14 () (@list @t8 @t10 @t12 @t1)) % 0.77/1.06 (define @t15 () (@var "V_xa" $$unsorted)) % 0.77/1.06 (define @t16 () (@var "V_a" $$unsorted)) % 0.77/1.06 (define @t17 () (tptp.c_HOL_Oord__class_Oless @t16 @t2 @t1)) % 0.77/1.06 (define @t18 () (not @t17)) % 0.77/1.06 (define @t19 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.77/1.06 (define @t20 () (tptp.hAPP @t19 @t16)) % 0.77/1.06 (define @t21 () (tptp.hAPP @t20 @t16)) % 0.77/1.06 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t21 @t2 @t1)) % 0.77/1.06 (define @t23 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.77/1.06 (define @t24 () (@list @t1 @t16)) % 0.77/1.06 (define @t25 () (not @t22)) % 0.77/1.06 (define @t26 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.77/1.06 (define @t27 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.77/1.06 (define @t28 () (tptp.c_Suc @t27)) % 0.77/1.06 (define @t29 () (@var "V_c" $$unsorted)) % 0.77/1.06 (define @t30 () (@var "V_b_H" $$unsorted)) % 0.77/1.06 (define @t31 () (@var "V_a_H" $$unsorted)) % 0.77/1.06 (define @t32 () (@var "V_b" $$unsorted)) % 0.77/1.06 (define @t33 () (tptp.hAPP @t20 @t32)) % 0.77/1.06 (define @t34 () (tptp.c_Divides_Odiv__class_Omod @t33 @t29 @t1)) % 0.77/1.06 (define @t35 () (tptp.c_Divides_Odiv__class_Omod @t16 @t29 @t1)) % 0.77/1.06 (define @t36 () (not (= @t35 (tptp.c_Divides_Odiv__class_Omod @t31 @t29 @t1)))) % 0.77/1.06 (define @t37 () (tptp.c_Divides_Odiv__class_Omod @t32 @t29 @t1)) % 0.77/1.06 (define @t38 () (not (= @t37 (tptp.c_Divides_Odiv__class_Omod @t30 @t29 @t1)))) % 0.77/1.06 (define @t39 () (not (tptp.class_Divides_Osemiring__div @t1))) % 0.77/1.06 (define @t40 () (@list @t1 @t32 @t29 @t30 @t16 @t31)) % 0.77/1.06 (define @t41 () (tptp.c_List_Olist_ONil @t1)) % 0.77/1.06 (define @t42 () (@var "V_r" $$unsorted)) % 0.77/1.06 (define @t43 () (@var "V_y" $$unsorted)) % 0.77/1.06 (define @t44 () (tptp.c_Transitive__Closure_Ortranclp @t42 @t1)) % 0.77/1.06 (define @t45 () (tptp.hAPP @t44 @t12)) % 0.77/1.06 (define @t46 () (tptp.hBOOL (tptp.hAPP @t45 @t43))) % 0.77/1.06 (define @t47 () (@var "V_m" $$unsorted)) % 0.77/1.06 (define @t48 () (@var "V_n" $$unsorted)) % 0.77/1.06 (define @t49 () (tptp.c_lessequals @t48 @t47 tptp.tc_nat)) % 0.77/1.06 (define @t50 () (not @t49)) % 0.77/1.06 (define @t51 () (tptp.c_HOL_Ominus__class_Ominus @t47 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t52 () (tptp.c_Divides_Odiv__class_Omod @t47 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t53 () (= @t52 (tptp.c_Divides_Odiv__class_Omod @t51 @t48 tptp.tc_nat))) % 0.77/1.06 (define @t54 () (@list @t47 @t48)) % 0.77/1.06 (define @t55 () (@var "V_dB_H" $$unsorted)) % 0.77/1.06 (define @t56 () (tptp.c_Lambda_OdB_OAbs @t55)) % 0.77/1.06 (define @t57 () (@var "V_nat" $$unsorted)) % 0.77/1.06 (define @t58 () (tptp.c_Lambda_OdB_OVar @t57)) % 0.77/1.06 (define @t59 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.77/1.06 (define @t60 () (@var "V_nat_H" $$unsorted)) % 0.77/1.06 (define @t61 () (= @t57 @t60)) % 0.77/1.06 (define @t62 () (tptp.c_Suc @t60)) % 0.77/1.06 (define @t63 () (@list @t57 @t60)) % 0.77/1.06 (define @t64 () (= @t12 @t43)) % 0.77/1.06 (define @t65 () (tptp.c_Suc @t12)) % 0.77/1.06 (define @t66 () (@list @t12 @t43)) % 0.77/1.06 (define @t67 () (= @t16 @t2)) % 0.77/1.06 (define @t68 () (not (tptp.c_lessequals @t2 @t12 @t1))) % 0.77/1.06 (define @t69 () (not (tptp.c_lessequals @t2 @t43 @t1))) % 0.77/1.06 (define @t70 () (tptp.hAPP @t19 @t12)) % 0.77/1.06 (define @t71 () (tptp.hAPP @t70 @t43)) % 0.77/1.06 (define @t72 () (not (= @t71 @t2))) % 0.77/1.06 (define @t73 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.77/1.06 (define @t74 () (@list @t1 @t12 @t43)) % 0.77/1.06 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t48 @t9 tptp.tc_nat)) % 0.77/1.06 (define @t76 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t9 tptp.tc_nat)) % 0.77/1.06 (define @t77 () (@var "V_ys" $$unsorted)) % 0.77/1.06 (define @t78 () (tptp.c_List_Oappend @t8 @t77 @t1)) % 0.77/1.06 (define @t79 () (tptp.c_List_Onth @t78 @t48 @t1)) % 0.77/1.06 (define @t80 () (@list @t8 @t77 @t1 @t48)) % 0.77/1.06 (define @t81 () (@list @t47)) % 0.77/1.06 (define @t82 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 @t1)) % 0.77/1.06 (define @t83 () (= @t82 @t2)) % 0.77/1.06 (define @t84 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.77/1.06 (define @t85 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.77/1.06 (define @t86 () (@list @t1 @t12)) % 0.77/1.06 (define @t87 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.77/1.06 (define @t88 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.77/1.06 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t47 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t90 () (not @t89)) % 0.77/1.06 (define @t91 () (@var "V_l" $$unsorted)) % 0.77/1.06 (define @t92 () (tptp.c_HOL_Ominus__class_Ominus @t91 @t47 tptp.tc_nat)) % 0.77/1.06 (define @t93 () (tptp.c_HOL_Ominus__class_Ominus @t91 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t94 () (@list @t91 @t48 @t47)) % 0.77/1.06 (define @t95 () (@var "V_zs" $$unsorted)) % 0.77/1.06 (define @t96 () (tptp.c_HOL_Oord__class_Oless @t27 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t97 () (not @t96)) % 0.77/1.06 (define @t98 () (tptp.hAPP @t19 @t43)) % 0.77/1.06 (define @t99 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.77/1.06 (define @t100 () (tptp.hAPP @t19 @t32)) % 0.77/1.06 (define @t101 () (tptp.hAPP @t100 @t16)) % 0.77/1.06 (define @t102 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.77/1.06 (define @t103 () (@list @t1 @t16 @t32)) % 0.77/1.06 (define @t104 () (tptp.hAPP @t19 @t29)) % 0.77/1.06 (define @t105 () (tptp.hAPP @t104 @t16)) % 0.77/1.06 (define @t106 () (tptp.hAPP @t20 @t29)) % 0.77/1.06 (define @t107 () (tptp.c_Suc @t47)) % 0.77/1.06 (define @t108 () (tptp.c_HOL_Ominus__class_Ominus @t107 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t109 () (not @t75)) % 0.77/1.06 (define @t110 () (tptp.c_List_Onth @t8 @t48 @t1)) % 0.77/1.06 (define @t111 () (= @t48 @t27)) % 0.77/1.06 (define @t112 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t59 tptp.tc_nat)) % 0.77/1.06 (define @t113 () (tptp.c_List_Olist_OCons @t12 @t8 @t1)) % 0.77/1.06 (define @t114 () (@list @t12 @t8 @t1 @t48)) % 0.77/1.06 (define @t115 () (tptp.c_Suc @t48)) % 0.77/1.06 (define @t116 () (@list @t48)) % 0.77/1.06 (define @t117 () (tptp.c_lessequals @t115 @t47 tptp.tc_nat)) % 0.77/1.06 (define @t118 () (not @t117)) % 0.77/1.06 (define @t119 () (tptp.c_HOL_Oord__class_Oless @t48 @t47 tptp.tc_nat)) % 0.77/1.06 (define @t120 () (@list @t48 @t47)) % 0.77/1.06 (define @t121 () (tptp.c_lessequals @t107 @t48 tptp.tc_nat)) % 0.77/1.06 (define @t122 () (not @t121)) % 0.77/1.06 (define @t123 () (not (tptp.c_lessequals @t32 @t16 @t1))) % 0.77/1.06 (define @t124 () (tptp.c_lessequals @t32 @t106 @t1)) % 0.77/1.06 (define @t125 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.77/1.06 (define @t126 () (@list @t1 @t32 @t16 @t29)) % 0.77/1.06 (define @t127 () (tptp.c_lessequals @t2 @t16 @t1)) % 0.77/1.06 (define @t128 () (not @t127)) % 0.77/1.06 (define @t129 () (not (tptp.c_lessequals @t32 @t29 @t1))) % 0.77/1.06 (define @t130 () (@var "V_k" $$unsorted)) % 0.77/1.06 (define @t131 () (tptp.c_List_Orev @t8 @t1)) % 0.77/1.06 (define @t132 () (@list @t60)) % 0.77/1.06 (define @t133 () (@var "V_v" $$unsorted)) % 0.77/1.06 (define @t134 () (tptp.c_Int_Onumber__class_Onumber__of @t133 tptp.tc_nat)) % 0.77/1.07 (define @t135 () (tptp.c_List_Onth @t113 @t134 @t1)) % 0.77/1.07 (define @t136 () (= @t134 @t27)) % 0.77/1.07 (define @t137 () (not @t136)) % 0.77/1.07 (define @t138 () (@list @t133 @t12 @t8 @t1)) % 0.77/1.07 (define @t139 () (@var "V_z" $$unsorted)) % 0.77/1.07 (define @t140 () (tptp.hAPP @t44 @t16)) % 0.77/1.07 (define @t141 () (tptp.c_lessequals @t47 @t48 tptp.tc_nat)) % 0.77/1.07 (define @t142 () (not @t141)) % 0.77/1.07 (define @t143 () (= @t51 @t27)) % 0.77/1.07 (define @t144 () (not @t143)) % 0.77/1.07 (define @t145 () (tptp.c_HOL_Oord__class_Oless @t2 @t16 @t1)) % 0.77/1.07 (define @t146 () (not @t145)) % 0.77/1.07 (define @t147 () (tptp.c_HOL_Oord__class_Oless @t32 @t106 @t1)) % 0.77/1.07 (define @t148 () (tptp.hAPP @t42 @t43)) % 0.77/1.07 (define @t149 () (tptp.c_List_Olist_OCons @t43 @t77 @t1)) % 0.77/1.07 (define @t150 () (not (tptp.c_ListOrder_Ostep1 @t42 @t149 @t113 @t1))) % 0.77/1.07 (define @t151 () (= @t8 @t77)) % 0.77/1.07 (define @t152 () (tptp.c_List_Onth @t8 @t10 @t1)) % 0.77/1.07 (define @t153 () (= (tptp.c_List_Olist__update @t8 @t10 @t152 @t1) @t8)) % 0.77/1.07 (define @t154 () (@list @t10 @t8 @t1)) % 0.77/1.07 (define @t155 () (tptp.c_Divides_Odiv__class_Omod @t16 @t32 @t1)) % 0.77/1.07 (define @t156 () (tptp.c_List_Odrop @t10 @t8 @t1)) % 0.77/1.07 (define @t157 () (tptp.c_Suc @t10)) % 0.77/1.07 (define @t158 () (tptp.c_List_Odrop @t157 @t8 @t1)) % 0.77/1.07 (define @t159 () (tptp.c_List_Olist_OCons @t152 @t158 @t1)) % 0.77/1.07 (define @t160 () (@list @t8 @t10 @t1)) % 0.77/1.07 (define @t161 () (tptp.c_lessequals @t2 @t21 @t1)) % 0.77/1.07 (define @t162 () (@var "V_s_H" $$unsorted)) % 0.77/1.07 (define @t163 () (@var "V_s" $$unsorted)) % 0.77/1.07 (define @t164 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t165 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t163) @t162)))) % 0.77/1.07 (define @t166 () (tptp.c_Lambda_OdB_OAbs @t163)) % 0.77/1.07 (define @t167 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t32 @t1)) % 0.77/1.07 (define @t168 () (tptp.c_Suc @t52)) % 0.77/1.07 (define @t169 () (= @t168 @t48)) % 0.77/1.07 (define @t170 () (tptp.c_Divides_Odiv__class_Omod @t107 @t48 tptp.tc_nat)) % 0.77/1.07 (define @t171 () (@var "V_us" $$unsorted)) % 0.77/1.07 (define @t172 () (@var "V_vs" $$unsorted)) % 0.77/1.07 (define @t173 () (tptp.c_List_Oappend @t8 @t12 @t1)) % 0.77/1.07 (define @t174 () (tptp.c_ListOrder_Ostep1 @t42 @t77 @t8 @t1)) % 0.77/1.07 (define @t175 () (not @t174)) % 0.77/1.07 (define @t176 () (tptp.c_lessequals @t16 @t32 @t1)) % 0.77/1.07 (define @t177 () (not @t176)) % 0.77/1.07 (define @t178 () (@var "V_d" $$unsorted)) % 0.77/1.07 (define @t179 () (not (tptp.c_lessequals @t29 @t178 @t1))) % 0.77/1.07 (define @t180 () (tptp.hAPP @t100 @t178)) % 0.77/1.07 (define @t181 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.77/1.07 (define @t182 () (@list @t1 @t16 @t29 @t32 @t178)) % 0.77/1.07 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t47 @t115 tptp.tc_nat)) % 0.77/1.07 (define @t184 () (not @t183)) % 0.77/1.07 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t12 @t65 tptp.tc_nat)) % 0.77/1.07 (define @t186 () (tptp.c_lessequals @t12 @t12 tptp.tc_nat)) % 0.77/1.07 (define @t187 () (@list @t12)) % 0.77/1.07 (define @t188 () (tptp.hAPP @t19 @t2)) % 0.77/1.07 (define @t189 () (= (tptp.hAPP @t188 @t2) @t2)) % 0.77/1.07 (define @t190 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 0.77/1.07 (define @t191 () (tptp.hAPP @t19 @t35)) % 0.77/1.07 (define @t192 () (@list @t1 @t16 @t32 @t29)) % 0.77/1.07 (define @t193 () (not (tptp.c_lessequals @t2 @t32 @t1))) % 0.77/1.07 (define @t194 () (tptp.c_HOL_Oord__class_Oless @t12 @t43 @t1)) % 0.77/1.07 (define @t195 () (not @t194)) % 0.77/1.07 (define @t196 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t139 @t1))) % 0.77/1.07 (define @t197 () (tptp.c_HOL_Oord__class_Oless @t12 @t139 @t1)) % 0.77/1.07 (define @t198 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.77/1.07 (define @t199 () (@list @t1 @t12 @t139 @t43)) % 0.77/1.07 (define @t200 () (tptp.c_HOL_Oord__class_Oless @t43 @t12 @t1)) % 0.77/1.07 (define @t201 () (not @t200)) % 0.77/1.07 (define @t202 () (not (tptp.c_HOL_Oord__class_Oless @t139 @t43 @t1))) % 0.77/1.07 (define @t203 () (tptp.c_HOL_Oord__class_Oless @t139 @t12 @t1)) % 0.77/1.07 (define @t204 () (not (tptp.class_Orderings_Oorder @t1))) % 0.77/1.07 (define @t205 () (@list @t1 @t139 @t12 @t43)) % 0.77/1.07 (define @t206 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t48 tptp.tc_nat))) % 0.77/1.07 (define @t207 () (tptp.c_List_Otake @t48 @t8 @t1)) % 0.77/1.07 (define @t208 () (tptp.hAPP @t70 (tptp.hAPP @t98 @t139))) % 0.77/1.07 (define @t209 () (@list @t1 @t12 @t43 @t139)) % 0.77/1.07 (define @t210 () (tptp.hAPP @t70 @t139)) % 0.77/1.07 (define @t211 () (tptp.hAPP @t100 @t29)) % 0.77/1.07 (define @t212 () (tptp.hAPP @t20 @t211)) % 0.77/1.07 (define @t213 () (tptp.hAPP @t19 @t33)) % 0.77/1.07 (define @t214 () (tptp.hAPP @t213 @t29)) % 0.77/1.07 (define @t215 () (= @t214 @t212)) % 0.77/1.07 (define @t216 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.77/1.07 (define @t217 () (@var "V_dB" $$unsorted)) % 0.77/1.07 (define @t218 () (tptp.c_List_Odistinct @t8 @t1)) % 0.77/1.07 (define @t219 () (not @t218)) % 0.77/1.07 (define @t220 () (@var "V_j" $$unsorted)) % 0.77/1.07 (define @t221 () (not (tptp.c_HOL_Oord__class_Oless @t220 @t9 tptp.tc_nat))) % 0.77/1.07 (define @t222 () (= @t10 @t220)) % 0.77/1.07 (define @t223 () (tptp.c_List_Onth @t8 @t220 @t1)) % 0.77/1.07 (define @t224 () (not (= @t152 @t223))) % 0.77/1.07 (define @t225 () (@list @t8 @t10 @t1 @t220)) % 0.77/1.07 (define @t226 () (tptp.c_lessequals @t16 @t2 @t1)) % 0.77/1.07 (define @t227 () (not @t226)) % 0.77/1.07 (define @t228 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t2 @t1))) % 0.77/1.07 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t33 @t2 @t1)) % 0.77/1.07 (define @t230 () (not (tptp.c_lessequals @t32 @t2 @t1))) % 0.77/1.07 (define @t231 () (= @t47 @t48)) % 0.77/1.07 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t48 @t107 tptp.tc_nat)) % 0.77/1.07 (define @t233 () (not @t232)) % 0.77/1.07 (define @t234 () (= @t48 @t47)) % 0.77/1.07 (define @t235 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t236 () (@var "V_ss" $$unsorted)) % 0.77/1.07 (define @t237 () (= @t236 @t235)) % 0.77/1.07 (define @t238 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t163 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t239 () (tptp.c_Lambda_OdB_OAbs @t42)) % 0.77/1.07 (define @t240 () (not (= @t239 @t238))) % 0.77/1.07 (define @t241 () (@list @t42 @t163 @t236)) % 0.77/1.07 (define @t242 () (not (tptp.c_HOL_Oord__class_Oless @t220 @t130 tptp.tc_nat))) % 0.77/1.07 (define @t243 () (tptp.c_List_Oreplicate @t48 @t12 @t1)) % 0.77/1.07 (define @t244 () (tptp.c_lessequals @t12 @t43 @t1)) % 0.77/1.07 (define @t245 () (not @t244)) % 0.77/1.07 (define @t246 () (tptp.c_lessequals @t43 @t12 @t1)) % 0.77/1.07 (define @t247 () (tptp.c_HOL_Oord__class_Oless @t12 @t12 tptp.tc_nat)) % 0.77/1.07 (define @t248 () (tptp.c_HOL_Oord__class_Oless @t12 @t12 @t1)) % 0.77/1.07 (define @t249 () (not @t248)) % 0.77/1.07 (define @t250 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.77/1.07 (define @t251 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t32 @t1))) % 0.77/1.07 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t2 @t33 @t1)) % 0.77/1.07 (define @t253 () (@list @t42 @t77 @t8 @t1 @t43 @t12)) % 0.77/1.07 (define @t254 () (@list @t1 @t43 @t12)) % 0.77/1.07 (define @t255 () (@var "V_P" $$unsorted)) % 0.77/1.07 (define @t256 () (tptp.hAPP @t255 @t48)) % 0.77/1.07 (define @t257 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t47 tptp.tc_nat)) % 0.77/1.07 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t12 @t43 tptp.tc_nat)) % 0.77/1.07 (define @t259 () (not @t246)) % 0.77/1.07 (define @t260 () (tptp.c_Divides_Odiv__class_Omod @t167 @t29 @t1)) % 0.77/1.07 (define @t261 () (not (tptp.class_Divides_Oring__div @t1))) % 0.77/1.07 (define @t262 () (tptp.c_lessequals @t167 @t2 @t1)) % 0.77/1.07 (define @t263 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.77/1.07 (define @t264 () (tptp.c_Suc @t112)) % 0.77/1.07 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t16 @t32 @t1)) % 0.77/1.07 (define @t266 () (not @t265)) % 0.77/1.07 (define @t267 () (not (tptp.c_HOL_Oord__class_Oless @t29 @t178 @t1))) % 0.77/1.07 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t106 @t180 @t1)) % 0.77/1.07 (define @t269 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.77/1.07 (define @t270 () (@var "V_f" $$unsorted)) % 0.77/1.07 (define @t271 () (@var "T_b" $$unsorted)) % 0.77/1.07 (define @t272 () (tptp.c_List_Omap @t270 @t8 @t1 @t271)) % 0.77/1.07 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t167 @t2 @t1)) % 0.77/1.07 (define @t274 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t220 tptp.tc_nat))) % 0.77/1.07 (define @t275 () (@list @t10 @t130 @t220)) % 0.77/1.07 (define @t276 () (tptp.c_lessequals @t106 @t211 @t1)) % 0.77/1.07 (define @t277 () (@list @t1 @t16 @t29 @t32)) % 0.77/1.07 (define @t278 () (tptp.hAPP @t104 @t32)) % 0.77/1.07 (define @t279 () (tptp.c_lessequals @t105 @t278 @t1)) % 0.77/1.07 (define @t280 () (@list @t1 @t29 @t16 @t32)) % 0.77/1.07 (define @t281 () (tptp.c_HOL_Ominus__class_Ominus @t134 @t59 tptp.tc_nat)) % 0.77/1.07 (define @t282 () (tptp.c_List_Otake @t134 @t113 @t1)) % 0.77/1.07 (define @t283 () (tptp.c_HOL_Ominus__class_Ominus @t220 @t59 tptp.tc_nat)) % 0.77/1.07 (define @t284 () (@var "V_e" $$unsorted)) % 0.77/1.07 (define @t285 () (@var "V_T" $$unsorted)) % 0.77/1.07 (define @t286 () (tptp.hAPP (tptp.c_Type_Oshift @t284 @t10 @t285 @t1) @t220)) % 0.77/1.07 (define @t287 () (@list @t284 @t10 @t285 @t1 @t220)) % 0.77/1.07 (define @t288 () (@var "V_w" $$unsorted)) % 0.77/1.07 (define @t289 () (tptp.c_Int_Onumber__class_Onumber__of @t288 @t1)) % 0.77/1.07 (define @t290 () (tptp.c_Int_Onumber__class_Onumber__of @t133 @t1)) % 0.77/1.07 (define @t291 () (tptp.c_lessequals @t290 @t289 @t1)) % 0.77/1.07 (define @t292 () (tptp.c_HOL_Oord__class_Oless @t289 @t290 @t1)) % 0.77/1.07 (define @t293 () (not (tptp.class_Int_Onumber @t1))) % 0.77/1.07 (define @t294 () (tptp.c_List_Odrop @t134 @t113 @t1)) % 0.77/1.07 (define @t295 () (@var "V_u" $$unsorted)) % 0.77/1.07 (define @t296 () (tptp.c_Lambda_OdB_OVar @t220)) % 0.77/1.07 (define @t297 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t296) @t295) @t10)) % 0.77/1.07 (define @t298 () (@list @t220 @t295 @t10)) % 0.77/1.07 (define @t299 () (tptp.c_HOL_Oord__class_Oless @t130 @t10 tptp.tc_nat)) % 0.77/1.07 (define @t300 () (tptp.c_Lambda_OdB_OVar @t10)) % 0.77/1.07 (define @t301 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t300) @t163) @t130)) % 0.77/1.07 (define @t302 () (@list @t10 @t163 @t130)) % 0.77/1.07 (define @t303 () (@list @t1 @t32 @t16)) % 0.77/1.07 (define @t304 () (not (tptp.c_HOL_Oord__class_Oless @t220 @t10 tptp.tc_nat))) % 0.77/1.07 (define @t305 () (tptp.c_lessequals @t47 @t115 tptp.tc_nat)) % 0.77/1.07 (define @t306 () (not (tptp.c_lessequals @t130 @t47 tptp.tc_nat))) % 0.77/1.07 (define @t307 () (not (tptp.c_lessequals @t130 @t48 tptp.tc_nat))) % 0.77/1.07 (define @t308 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t130 tptp.tc_nat)) % 0.77/1.07 (define @t309 () (tptp.c_HOL_Ominus__class_Ominus @t47 @t130 tptp.tc_nat)) % 0.77/1.07 (define @t310 () (tptp.c_HOL_Oord__class_Oless @t309 @t308 tptp.tc_nat)) % 0.77/1.07 (define @t311 () (@list @t47 @t48 @t130)) % 0.77/1.07 (define @t312 () (@list @t47 @t130 @t48)) % 0.77/1.07 (define @t313 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t29 @t1))) % 0.77/1.07 (define @t314 () (tptp.c_lessequals @t21 @t2 @t1)) % 0.77/1.07 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t106 @t211 @t1)) % 0.77/1.07 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t105 @t278 @t1)) % 0.77/1.07 (define @t317 () (tptp.hBOOL @t256)) % 0.77/1.07 (define @t318 () (tptp.hBOOL (tptp.hAPP @t255 (tptp.c_Divides_Odiv__class_Omod @t48 @t27 tptp.tc_nat)))) % 0.77/1.07 (define @t319 () (@list @t255 @t48)) % 0.77/1.07 (define @t320 () (tptp.hAPP @t19 @t106)) % 0.77/1.07 (define @t321 () (tptp.hAPP @t104 @t178)) % 0.77/1.07 (define @t322 () (tptp.hAPP @t20 @t321)) % 0.77/1.07 (define @t323 () (@list @t1 @t16 @t29 @t178)) % 0.77/1.07 (define @t324 () (@list @t8 @t1 @t48)) % 0.77/1.07 (define @t325 () (= (tptp.c_List_Onth @t13 @t220 @t1) @t223)) % 0.77/1.07 (define @t326 () (@list @t8 @t10 @t12 @t1 @t220)) % 0.77/1.07 (define @t327 () (@var "V_Q" $$unsorted)) % 0.77/1.07 (define @t328 () (tptp.c_lessequals @t12 @t12 @t1)) % 0.77/1.07 (define @t329 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t191 @t32) @t29 @t1)) % 0.77/1.07 (define @t330 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t20 @t37) @t29 @t1)) % 0.77/1.07 (define @t331 () (tptp.c_lessequals @t309 @t308 tptp.tc_nat)) % 0.77/1.07 (define @t332 () (@var "V_y_H" $$unsorted)) % 0.77/1.07 (define @t333 () (@var "V_x_H" $$unsorted)) % 0.77/1.07 (define @t334 () (tptp.c_HOL_Ominus__class_Ominus @t333 @t332 @t1)) % 0.77/1.07 (define @t335 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t235 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t336 () (@list @t42)) % 0.77/1.07 (define @t337 () (tptp.c_List_Orotate @t48 @t8 @t1)) % 0.77/1.07 (define @t338 () (= @t337 @t8)) % 0.77/1.07 (define @t339 () (@list @t48 @t8 @t1)) % 0.77/1.07 (define @t340 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t43 @t1)) % 0.77/1.07 (define @t341 () (= @t16 @t32)) % 0.77/1.07 (define @t342 () (not (= @t167 @t2))) % 0.77/1.07 (define @t343 () (not (tptp.c_HOL_Oord__class_Oless @t16 @t32 tptp.tc_nat))) % 0.77/1.07 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t107 @t48 tptp.tc_nat)) % 0.77/1.07 (define @t345 () (= @t32 @t29)) % 0.77/1.07 (define @t346 () (not (= @t33 @t106))) % 0.77/1.07 (define @t347 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.77/1.07 (define @t348 () (not (= @t238 @t239))) % 0.77/1.07 (define @t349 () (@list @t163 @t236 @t42)) % 0.77/1.07 (define @t350 () (tptp.hBOOL (tptp.hAPP @t148 @t12))) % 0.77/1.07 (define @t351 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t42)))) % 0.77/1.07 (define @t352 () (@list @t48 @t10)) % 0.77/1.07 (define @t353 () (= (tptp.hAPP @t188 @t16) @t16)) % 0.77/1.07 (define @t354 () (= (tptp.hAPP @t20 @t2) @t16)) % 0.77/1.07 (define @t355 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.77/1.07 (define @t356 () (= @t13 @t8)) % 0.77/1.07 (define @t357 () (@var "V_t" $$unsorted)) % 0.77/1.07 (define @t358 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t163) @t357)))) % 0.77/1.07 (define @t359 () (tptp.c_Lambda_OdB_OAbs @t357)) % 0.77/1.07 (define @t360 () (@list @t163 @t357)) % 0.77/1.07 (define @t361 () (tptp.c_HOL_Oord__class_Oless @t107 @t115 tptp.tc_nat)) % 0.77/1.07 (define @t362 () (tptp.c_HOL_Oord__class_Oless @t2 @t21 @t1)) % 0.77/1.07 (define @t363 () (= @t8 @t41)) % 0.77/1.07 (define @t364 () (@list @t8 @t1)) % 0.77/1.07 (define @t365 () (tptp.c_Nat_Osize__class_Osize @t41 @t7)) % 0.77/1.07 (define @t366 () (tptp.c_List_Olist_OCons @t12 @t41 @t1)) % 0.77/1.07 (define @t367 () (tptp.c_List_Oappend @t8 @t366 @t1)) % 0.77/1.07 (define @t368 () (tptp.c_List_Olist_OCons @t43 @t41 @t1)) % 0.77/1.07 (define @t369 () (tptp.c_List_Oappend @t77 @t368 @t1)) % 0.77/1.07 (define @t370 () (not (tptp.c_ListOrder_Ostep1 @t42 @t369 @t367 @t1))) % 0.77/1.07 (define @t371 () (= @t43 @t12)) % 0.77/1.07 (define @t372 () (= @t77 @t8)) % 0.77/1.07 (define @t373 () (not (tptp.c_lessequals @t139 @t43 @t1))) % 0.77/1.07 (define @t374 () (not (tptp.c_lessequals @t43 @t139 @t1))) % 0.77/1.07 (define @t375 () (tptp.c_List_Olist_OCons @t12 @t77 @t1)) % 0.77/1.07 (define @t376 () (@var "V_dB2" $$unsorted)) % 0.77/1.07 (define @t377 () (@var "V_dB1" $$unsorted)) % 0.77/1.07 (define @t378 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t377) @t376)) % 0.77/1.07 (define @t379 () (tptp.c_HOL_Oord__class_Oless @t27 @t257 tptp.tc_nat)) % 0.77/1.07 (define @t380 () (tptp.c_lessequals @t332 @t333 @t1)) % 0.77/1.07 (define @t381 () (not (= @t340 @t334))) % 0.77/1.07 (define @t382 () (@list @t1 @t12 @t43 @t333 @t332)) % 0.77/1.07 (define @t383 () (tptp.c_HOL_Oord__class_Oless @t333 @t332 @t1)) % 0.77/1.07 (define @t384 () (tptp.c_HOL_Oord__class_Oless @t32 @t16 @t1)) % 0.77/1.07 (define @t385 () (tptp.c_lessequals @t115 @t107 tptp.tc_nat)) % 0.77/1.07 (define @t386 () (not @t384)) % 0.77/1.07 (define @t387 () (tptp.hBOOL (tptp.hAPP @t140 @t29))) % 0.77/1.07 (define @t388 () (@list @t42 @t1 @t16 @t29 @t32)) % 0.77/1.07 (define @t389 () (@list @t48 @t12 @t8 @t1)) % 0.77/1.07 (define @t390 () (tptp.c_List_Olist__update @t78 @t48 @t12 @t1)) % 0.77/1.07 (define @t391 () (@list @t8 @t77 @t1 @t48 @t12)) % 0.77/1.07 (define @t392 () (tptp.c_Divides_Odiv__class_Omod @t48 @t9 tptp.tc_nat)) % 0.77/1.07 (define @t393 () (tptp.c_List_Otake @t10 @t8 @t1)) % 0.77/1.07 (define @t394 () (@list @t12 @t8 @t1)) % 0.77/1.07 (define @t395 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t15 @t7))) % 0.77/1.07 (define @t396 () (tptp.c_List_Olist_OCons @t12 @t15 @t1)) % 0.77/1.07 (define @t397 () (tptp.c_Nat_Osize__class_Osize @t396 @t7)) % 0.77/1.07 (define @t398 () (@list @t12 @t15 @t1)) % 0.77/1.07 (define @t399 () (@var "V_t_H" $$unsorted)) % 0.77/1.07 (define @t400 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t357) @t399)))) % 0.77/1.07 (define @t401 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t162)) % 0.77/1.07 (define @t402 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t163)) % 0.77/1.07 (define @t403 () (tptp.hAPP @t402 @t357)) % 0.77/1.07 (define @t404 () (tptp.hAPP @t164 @t403)) % 0.77/1.07 (define @t405 () (@var "V_rs" $$unsorted)) % 0.77/1.07 (define @t406 () (= @t405 @t236)) % 0.77/1.07 (define @t407 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t405 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t166 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.07 (define @t408 () (@list @t42 @t405 @t163 @t236)) % 0.77/1.07 (define @t409 () (= @t42 @t163)) % 0.77/1.07 (define @t410 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t42) @t163)) % 0.77/1.07 (define @t411 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t42) @t163)))) % 0.77/1.07 (define @t412 () (tptp.hAPP tptp.c_Lambda_Osubst @t357)) % 0.77/1.07 (define @t413 () (tptp.hAPP @t412 @t163)) % 0.77/1.07 (define @t414 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 (tptp.hAPP (tptp.hAPP @t412 @t42) @t10)) (tptp.hAPP @t413 @t10)))) % 0.77/1.07 (define @t415 () (@list @t357 @t42 @t10 @t163)) % 0.77/1.07 (define @t416 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t42) @t163)))) % 0.77/1.07 (define @t417 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t163) @t357)) % 0.77/1.07 (define @t418 () (tptp.hAPP @t417 @t10)) % 0.77/1.07 (define @t419 () (tptp.hAPP tptp.c_Lambda_Osubst @t42)) % 0.77/1.07 (define @t420 () (tptp.hAPP (tptp.hAPP @t419 @t357) @t10)) % 0.77/1.07 (define @t421 () (@list @t42 @t357 @t10 @t163)) % 0.77/1.07 (define @t422 () (tptp.c_Lambda_OdB_OVar @t48)) % 0.77/1.07 (define @t423 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t422 @t405 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t424 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t423) @t133)))) % 0.77/1.07 (define @t425 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t48 @t405 @t133)) % 0.77/1.07 (define @t426 () (tptp.c_List_Odrop @t48 @t8 @t1)) % 0.77/1.07 (define @t427 () (tptp.c_lessequals @t9 @t48 tptp.tc_nat)) % 0.77/1.07 (define @t428 () (not @t427)) % 0.77/1.07 (define @t429 () (tptp.c_List_Olist__update @t8 @t10 @t43 @t1)) % 0.77/1.07 (define @t430 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t357)) % 0.77/1.07 (define @t431 () (tptp.hAPP @t430 @t295)) % 0.77/1.07 (define @t432 () (not (tptp.c_Type_Otyping @t284 @t431 @t285))) % 0.77/1.07 (define @t433 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t285 @t284 @t357 @t295)) % 0.77/1.07 (define @t434 () (@list @t48 @t12 @t1)) % 0.77/1.07 (define @t435 () (not (tptp.c_Type_Otyping @t284 @t357 @t285))) % 0.77/1.07 (define @t436 () (tptp.c_Type_Otyping @t284 @t399 @t285)) % 0.77/1.07 (define @t437 () (@list @t284 @t399 @t285 @t357)) % 0.77/1.07 (define @t438 () (tptp.c_Lambda_OdB_OVar @t12)) % 0.77/1.07 (define @t439 () (@var "V_U" $$unsorted)) % 0.77/1.07 (define @t440 () (tptp.hAPP tptp.c_Lambda_Olift @t163)) % 0.77/1.07 (define @t441 () (tptp.hAPP @t440 @t10)) % 0.77/1.07 (define @t442 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t42) @t10)) % 0.77/1.07 (define @t443 () (@list @t42 @t10 @t163)) % 0.77/1.07 (define @t444 () (tptp.c_List_Ofoldl @t19 @t16 @t8 @t1 @t1)) % 0.77/1.07 (define @t445 () (tptp.c_List_Oreplicate @t130 @t12 @t1)) % 0.77/1.07 (define @t446 () (tptp.c_List_Oappend @t8 @t375 @t1)) % 0.77/1.07 (define @t447 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t42 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t448 () (@list @t42 @t236 @t163)) % 0.77/1.07 (define @t449 () (= @t426 @t41)) % 0.77/1.07 (define @t450 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 0.77/1.07 (define @t451 () (tptp.c_Nat_Osize__class_Osize @t450 @t7)) % 0.77/1.07 (define @t452 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 0.77/1.07 (define @t453 () (tptp.c_Nat_Osize__class_Osize @t452 @t7)) % 0.77/1.07 (define @t454 () (tptp.c_lessequals @t453 @t451 tptp.tc_nat)) % 0.77/1.07 (define @t455 () (= (tptp.c_List_Otake @t451 @t452 @t1) @t450)) % 0.77/1.07 (define @t456 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 0.77/1.07 (define @t457 () (tptp.c_List_Oappend @t450 @t456 @t1)) % 0.77/1.07 (define @t458 () (@var "V_xs_092_060_094isub_0622" $$unsorted)) % 0.77/1.07 (define @t459 () (tptp.c_List_Oappend @t452 @t458 @t1)) % 0.77/1.07 (define @t460 () (not (= @t459 @t457))) % 0.77/1.07 (define @t461 () (@list @t452 @t458 @t1 @t450 @t456)) % 0.77/1.07 (define @t462 () (@list @t48 @t8 @t77 @t1)) % 0.77/1.07 (define @t463 () (not @t454)) % 0.77/1.07 (define @t464 () (= @t452 (tptp.c_List_Otake @t453 @t450 @t1))) % 0.77/1.07 (define @t465 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t453 @t450 @t1) @t456 @t1)) % 0.77/1.07 (define @t466 () (tptp.c_List_Odrop @t451 @t452 @t1)) % 0.77/1.07 (define @t467 () (tptp.c_List_Oappend @t466 @t458 @t1)) % 0.77/1.07 (define @t468 () (@var "V_ts" $$unsorted)) % 0.77/1.07 (define @t469 () (tptp.c_Lambda_OdB_OVar @t47)) % 0.77/1.07 (define @t470 () (not (= @t469 @t238))) % 0.77/1.07 (define @t471 () (@list @t47 @t163 @t236)) % 0.77/1.07 (define @t472 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t422 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t473 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t166) @t357)) % 0.77/1.07 (define @t474 () (tptp.c_List_Ofoldr @t19 @t8 @t2 @t1 @t1)) % 0.77/1.07 (define @t475 () (@list @t1 @t8)) % 0.77/1.07 (define @t476 () (tptp.tc_List_Olist @t271)) % 0.77/1.07 (define @t477 () (@var "V_lst" $$unsorted)) % 0.77/1.07 (define @t478 () (not @t455)) % 0.77/1.07 (define @t479 () (= (tptp.c_List_Oappend @t452 @t465 @t1) @t457)) % 0.77/1.07 (define @t480 () (not @t464)) % 0.77/1.07 (define @t481 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t10 tptp.tc_nat)) % 0.77/1.07 (define @t482 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t357 @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t483 () (tptp.c_Type_Otyping @t284 @t482 @t285)) % 0.77/1.07 (define @t484 () (not @t483)) % 0.77/1.07 (define @t485 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t285 @t284 @t357 @t468)) % 0.77/1.07 (define @t486 () (@list @t284 @t468 @t285 @t357)) % 0.77/1.07 (define @t487 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t285 @t284 @t357 @t468)) % 0.77/1.07 (define @t488 () (@var "V_env" $$unsorted)) % 0.77/1.07 (define @t489 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t285) @t439)) % 0.77/1.07 (define @t490 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t300 @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t491 () (not (tptp.c_Type_Otyping @t284 @t490 @t285))) % 0.77/1.07 (define @t492 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t285 @t284 @t10 @t468)) % 0.77/1.07 (define @t493 () (not (tptp.c_Type_Otyping @t284 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t490 @t171 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t285))) % 0.77/1.07 (define @t494 () (@var "V_Ts" $$unsorted)) % 0.77/1.07 (define @t495 () (not (tptp.c_Type_Otypings @t284 @t468 @t494))) % 0.77/1.07 (define @t496 () (not (tptp.c_Type_Otyping @t284 @t490 @t439))) % 0.77/1.07 (define @t497 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t285 @t439 @t284 @t171)) % 0.77/1.07 (define @t498 () (@list @t284 @t357 @t285 @t468)) % 0.77/1.07 (define @t499 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.77/1.07 (define @t500 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.77/1.07 (define @t501 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.77/1.07 (define @t502 () (tptp.c_List_Olist_ONil @t271)) % 0.77/1.07 (define @t503 () (tptp.c_List_Olist_OCons @t12 @t8 @t271)) % 0.77/1.07 (define @t504 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t501)) % 0.77/1.07 (define @t505 () (tptp.c_List_Orev @t366 @t1)) % 0.77/1.07 (define @t506 () (@list @t12 @t1)) % 0.77/1.07 (define @t507 () (tptp.c_List_Orev @t77 @t1)) % 0.77/1.07 (define @t508 () (tptp.c_List_Oappend @t507 @t368 @t1)) % 0.77/1.07 (define @t509 () (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Oappend @t15 @t95 @t1) @t1)) % 0.77/1.07 (define @t510 () (tptp.c_List_Oappend @t396 @t95 @t1)) % 0.77/1.07 (define @t511 () (@list @t77 @t8 @t1)) % 0.77/1.07 (define @t512 () (@var "V_xs1" $$unsorted)) % 0.77/1.07 (define @t513 () (@var "V_list_H" $$unsorted)) % 0.77/1.07 (define @t514 () (tptp.c_List_Olist_OCons @t31 @t513 @t1)) % 0.77/1.07 (define @t515 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t295)) % 0.77/1.07 (define @t516 () (tptp.c_List_Oreplicate @t27 @t12 @t1)) % 0.77/1.07 (define @t517 () (tptp.c_List_Odistinct @t131 @t1)) % 0.77/1.07 (define @t518 () (@list @t48 @t1)) % 0.77/1.07 (define @t519 () (tptp.c_List_Oappend @t41 @t113 @t1)) % 0.77/1.07 (define @t520 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t357)))) % 0.77/1.07 (define @t521 () (@list @t357 @t10)) % 0.77/1.07 (define @t522 () (not (= (tptp.c_List_Oreplicate @t47 @t12 @t1) (tptp.c_List_Oreplicate @t48 @t43 @t1)))) % 0.77/1.07 (define @t523 () (@list @t47 @t12 @t1 @t48 @t43)) % 0.77/1.07 (define @t524 () (tptp.hAPP (tptp.hAPP @t412 @t295) @t10)) % 0.77/1.07 (define @t525 () (@var "V_e_H" $$unsorted)) % 0.77/1.07 (define @t526 () (tptp.c_List_Orev @t8 @t271)) % 0.77/1.07 (define @t527 () (tptp.c_List_Ofoldl @t270 @t16 @t8 @t1 @t271)) % 0.77/1.07 (define @t528 () (tptp.c_List_Oappend @t41 @t41 @t1)) % 0.77/1.07 (define @t529 () (tptp.c_List_Oreplicate @t10 @t12 @t1)) % 0.77/1.07 (define @t530 () (tptp.c_List_Orev @t41 @t1)) % 0.77/1.07 (define @t531 () (@list @t8 @t77 @t1)) % 0.77/1.07 (define @t532 () (tptp.c_List_Oappend @t8 @t77 @t271)) % 0.77/1.07 (define @t533 () (@list @t8 @t1 @t12)) % 0.77/1.07 (define @t534 () (@var "V_dB2_H" $$unsorted)) % 0.77/1.07 (define @t535 () (@var "V_dB1_H" $$unsorted)) % 0.77/1.07 (define @t536 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t535) @t534)) % 0.77/1.07 (define @t537 () (= @t8 @t366)) % 0.77/1.07 (define @t538 () (@var "V_A" $$unsorted)) % 0.77/1.07 (define @t539 () (tptp.c_List_Olistsp @t538 @t78 @t1)) % 0.77/1.07 (define @t540 () (not @t539)) % 0.77/1.07 (define @t541 () (tptp.c_List_Olistsp @t538 @t8 @t1)) % 0.77/1.07 (define @t542 () (tptp.c_List_Olistsp @t538 @t77 @t1)) % 0.77/1.07 (define @t543 () (= @t77 @t95)) % 0.77/1.07 (define @t544 () (@list @t8 @t77 @t1 @t95)) % 0.77/1.07 (define @t545 () (tptp.c_List_Oappend @t8 @t41 @t1)) % 0.77/1.07 (define @t546 () (tptp.c_List_Oappend @t41 @t77 @t1)) % 0.77/1.07 (define @t547 () (@list @t77 @t1)) % 0.77/1.07 (define @t548 () (not (tptp.c_List_Odistinct @t78 @t1))) % 0.77/1.07 (define @t549 () (@list @t8 @t1 @t77)) % 0.77/1.07 (define @t550 () (tptp.c_List_Orev @t131 @t1)) % 0.77/1.07 (define @t551 () (tptp.hAPP tptp.c_Lambda_Olift @t357)) % 0.77/1.07 (define @t552 () (tptp.hAPP @t551 @t130)) % 0.77/1.07 (define @t553 () (@var "V_g" $$unsorted)) % 0.77/1.07 (define @t554 () (tptp.hAPP @t270 (tptp.hAPP @t553 @t12))) % 0.77/1.07 (define @t555 () (@var "T_c" $$unsorted)) % 0.77/1.07 (define @t556 () (tptp.c_Fun_Ocomp @t270 @t553 @t271 @t1 @t555)) % 0.77/1.07 (define @t557 () (tptp.hAPP @t556 @t12)) % 0.77/1.07 (define @t558 () (tptp.c_Fun_Ocomp @t16 @t32 @t555 @t271 @t1)) % 0.77/1.07 (define @t559 () (tptp.hAPP @t16 (tptp.hAPP @t32 @t133))) % 0.77/1.07 (define @t560 () (@var "V_Ta" $$unsorted)) % 0.77/1.07 (define @t561 () (@var "V_T1" $$unsorted)) % 0.77/1.07 (define @t562 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t295)))) % 0.77/1.07 (define @t563 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t524))) % 0.77/1.07 (define @t564 () (@var "V_T2" $$unsorted)) % 0.77/1.07 (define @t565 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t561) @t564)))) % 0.77/1.07 (define @t566 () (@list @t561 @t564 @t357 @t295 @t10 @t284 @t560)) % 0.77/1.07 (define @t567 () (tptp.hAPP @t551 @t10)) % 0.77/1.07 (define @t568 () (not (= @t41 @t78))) % 0.77/1.07 (define @t569 () (@list @t1 @t8 @t77)) % 0.77/1.07 (define @t570 () (= @t77 @t41)) % 0.77/1.07 (define @t571 () (not (= @t78 @t41))) % 0.77/1.07 (define @t572 () (not (= @t378 @t536))) % 0.77/1.07 (define @t573 () (@list @t377 @t376 @t535 @t534)) % 0.77/1.07 (define @t574 () (tptp.c_List_Odistinct @t337 @t1)) % 0.77/1.07 (define @t575 () (tptp.c_List_Ofoldr @t270 @t8 @t16 @t271 @t1)) % 0.77/1.07 (define @t576 () (@var "T_d" $$unsorted)) % 0.77/1.07 (define @t577 () (@var "V_h" $$unsorted)) % 0.77/1.07 (define @t578 () (tptp.hAPP @t270 @t12)) % 0.77/1.07 (define @t579 () (@var "V_type2_H" $$unsorted)) % 0.77/1.07 (define @t580 () (@var "V_type2" $$unsorted)) % 0.77/1.07 (define @t581 () (@var "V_type1_H" $$unsorted)) % 0.77/1.07 (define @t582 () (@var "V_type1" $$unsorted)) % 0.77/1.07 (define @t583 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t582) @t580) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t581) @t579)))) % 0.77/1.07 (define @t584 () (@list @t582 @t580 @t581 @t579)) % 0.77/1.07 (define @t585 () (@var "V_list" $$unsorted)) % 0.77/1.07 (define @t586 () (not (= (tptp.c_List_Olist_OCons @t16 @t585 @t1) @t514))) % 0.77/1.07 (define @t587 () (@list @t16 @t585 @t1 @t31 @t513)) % 0.77/1.07 (define @t588 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t469 @t405 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t472))) % 0.77/1.07 (define @t589 () (@list @t47 @t405 @t48 @t236)) % 0.77/1.07 (define @t590 () (@var "V_i_H" $$unsorted)) % 0.77/1.07 (define @t591 () (@var "T_e" $$unsorted)) % 0.77/1.07 (define @t592 () (@var "V_g_H" $$unsorted)) % 0.77/1.07 (define @t593 () (@var "V_f_H" $$unsorted)) % 0.77/1.07 (define @t594 () (not (= @t367 @t369))) % 0.77/1.07 (define @t595 () (@list @t8 @t12 @t1 @t77 @t43)) % 0.77/1.07 (define @t596 () (tptp.c_Type_Oshift @t284 @t10 @t439 tptp.tc_Type_Otype)) % 0.77/1.07 (define @t597 () (tptp.c_COMBC tptp.c_Lambda_Olift tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t598 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.77/1.07 (define @t599 () (= @t8 @t502)) % 0.77/1.07 (define @t600 () (tptp.c_List_Omap @t270 @t8 @t271 @t1)) % 0.77/1.07 (define @t601 () (@list @t270 @t8 @t271 @t1)) % 0.77/1.07 (define @t602 () (@list @t48 @t270 @t8 @t271 @t1)) % 0.77/1.07 (define @t603 () (tptp.c_List_Osko__List__Xmap__idI__1__1 @t270 @t8 @t1)) % 0.77/1.07 (define @t604 () (tptp.c_List_Omap (tptp.hAPP @t597 @t10) @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t605 () (tptp.c_List_Omap @t270 @t77 @t271 @t1)) % 0.77/1.07 (define @t606 () (tptp.c_Nat_Osize__class_Osize @t8 @t476)) % 0.77/1.07 (define @t607 () (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB))) % 0.77/1.07 (define @t608 () (tptp.c_List_Omap (tptp.hAPP (tptp.c_COMBC (tptp.hAPP @t607 @t295) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t10) @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.07 (define @t609 () (tptp.c_Type_Otypings @t499 tptp.v_as____ tptp.v_Ts____)) % 0.77/1.07 (define @t610 () (tptp.c_List_Osko__List__Xmap__ext__1__1 @t270 @t553 @t8 @t1 @t271)) % 0.77/1.07 (define @t611 () (@var "V_R" $$unsorted)) % 0.77/1.07 (define @t612 () (tptp.c_List_Omap @t270 @t502 @t271 @t1)) % 0.77/1.07 (define @t613 () (forall (@list @t284 @t295 @t10 @t468 @t494 @t285) (or (tptp.c_Type_Otypings @t284 @t608 @t494) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t284 @t10 @t285 tptp.tc_Type_Otype) @t468 @t494)) (not (tptp.c_Type_Otyping @t284 @t295 @t285))))) % 0.77/1.07 (define @t614 () (@var "V_xb" $$unsorted)) % 0.77/1.07 (define @t615 () (tptp.c_List_Osko__List__Xmap__cong__1__1 @t270 @t553 @t12 @t1 @t271)) % 0.77/1.07 (define @t616 () (tptp.c_List_Osko__List__Xmap__eq__conv__1__1 @t270 @t553 @t8 @t271 @t1)) % 0.77/1.07 (define @t617 () (tptp.c_Type_Otypings tptp.v_e____ (tptp.c_List_Omap (tptp.hAPP (tptp.c_COMBC (tptp.hAPP @t607 tptp.v_u____) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_i____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_Ts____)) % 0.77/1.07 (define @t618 () (@var "T_1" $$unsorted)) % 0.77/1.07 (define @t619 () (@var "T_2" $$unsorted)) % 0.77/1.07 (define @t620 () (tptp.tc_fun @t619 @t618)) % 0.77/1.07 (define @t621 () (@list @t619 @t618)) % 0.77/1.07 (define @t622 () (@var "V_Y" $$unsorted)) % 0.77/1.07 (define @t623 () (@var "V_X" $$unsorted)) % 0.77/1.07 (define @t624 () (not @t598)) % 0.77/1.07 (define @t625 () (not @t609)) % 0.77/1.07 (define @t626 () (or @t617 @t625 @t624)) % 0.77/1.07 (define @t627 () (not @t626)) % 0.77/1.07 (assume @p1 (forall @t5 (or @t4 (not (= @t3 @t2))))) % 0.77/1.07 (assume @p2 (forall @t5 (or @t6 (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1))))) % 0.77/1.07 (assume @p3 (forall @t14 (or (= (tptp.c_List_Onth @t13 @t10 @t1) @t12) @t11))) % 0.77/1.07 (assume @p4 (forall (@list @t12 @t8 @t1 @t15) (or (not (tptp.c_HOL_Oord__class_Oless @t12 @t9 tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Olist__update @t8 @t12 @t15 @t1) @t12 @t1) @t15)))) % 0.77/1.07 (assume @p5 (forall @t24 (or @t23 @t22 @t18))) % 0.77/1.07 (assume @p6 (forall @t24 (or @t23 @t17 @t25))) % 0.77/1.07 (assume @p7 (forall @t24 (or @t26 @t17 @t25))) % 0.77/1.07 (assume @p8 (forall @t24 (or @t26 @t22 @t18))) % 0.77/1.07 (assume @p9 (tptp.c_HOL_Oord__class_Oless @t27 @t28 tptp.tc_nat)) % 0.77/1.07 (assume @p10 (forall @t40 (or @t39 @t38 @t36 (= @t34 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t19 @t31) @t30) @t29 @t1))))) % 0.77/1.07 (assume @p11 (forall (@list @t42 @t8 @t1) (not (tptp.c_ListOrder_Ostep1 @t42 @t8 @t41 @t1)))) % 0.77/1.07 (assume @p12 (forall (@list @t42 @t1 @t8) (not (tptp.c_ListOrder_Ostep1 @t42 @t41 @t8 @t1)))) % 0.77/1.07 (assume @p13 (forall (@list @t42 @t1 @t12 @t43) (or @t46 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t12) @t43)))))) % 0.77/1.07 (assume @p14 (forall @t54 (or @t53 @t50))) % 0.77/1.07 (assume @p15 (forall (@list @t57 @t55) (not (= @t58 @t56)))) % 0.77/1.07 (assume @p16 (= @t59 @t28)) % 0.77/1.07 (assume @p17 (forall @t63 (or (not (= (tptp.c_Suc @t57) @t62)) @t61))) % 0.77/1.07 (assume @p18 (forall @t66 (or (not (= @t65 (tptp.c_Suc @t43))) @t64))) % 0.77/1.07 (assume @p19 (forall @t24 (or @t26 (not (= @t21 @t2)) @t67))) % 0.77/1.07 (assume @p20 (forall @t74 (or @t73 @t72 @t69 @t68 (= @t12 @t2)))) % 0.77/1.07 (assume @p21 (forall @t74 (or @t73 @t72 @t69 @t68 (= @t43 @t2)))) % 0.77/1.07 (assume @p22 (forall @t80 (or (= @t79 (tptp.c_List_Onth @t77 @t76 @t1)) @t75))) % 0.77/1.07 (assume @p23 (forall @t81 (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t27 tptp.tc_nat) @t47))) % 0.77/1.07 (assume @p24 (forall @t81 (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t47 tptp.tc_nat) @t27))) % 0.77/1.07 (assume @p25 (forall @t86 (or @t85 @t84 @t83))) % 0.77/1.07 (assume @p26 (forall @t24 (or @t87 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 @t1) @t2)))) % 0.77/1.07 (assume @p27 (forall @t24 (or @t87 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t2 @t1) @t16)))) % 0.77/1.07 (assume @p28 (forall @t86 (or @t87 @t83))) % 0.77/1.07 (assume @p29 (forall @t86 (or @t88 @t83))) % 0.77/1.07 (assume @p30 (forall (@list @t1 @t12 @t16) (or @t85 @t84 (not (= @t12 (tptp.hAPP @t70 @t16))) @t67))) % 0.77/1.07 (assume @p31 (forall @t94 (or (tptp.c_HOL_Oord__class_Oless @t93 @t92 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t47 @t91 tptp.tc_nat)) @t90))) % 0.77/1.07 (assume @p32 (forall (@list @t1 @t12 @t43 @t95) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t19 @t71 @t95 @t1 @t1) (tptp.hAPP @t70 (tptp.c_List_Ofoldl @t19 @t43 @t95 @t1 @t1)))))) % 0.77/1.07 (assume @p33 (forall @t54 (or (tptp.c_lessequals @t52 @t48 tptp.tc_nat) @t97))) % 0.77/1.07 (assume @p34 (forall @t74 (or @t99 (= @t71 (tptp.hAPP @t98 @t12))))) % 0.77/1.07 (assume @p35 (forall @t103 (or @t102 (= @t33 @t101)))) % 0.77/1.07 (assume @p36 (forall (@list @t1 @t16 @t29) (or @t99 (= @t106 @t105)))) % 0.77/1.07 (assume @p37 (forall @t24 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t16 @t1) @t2)))) % 0.77/1.07 (assume @p38 (forall @t24 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t2 @t1) @t16)))) % 0.77/1.07 (assume @p39 (forall @t54 (or (= @t108 (tptp.c_Suc @t51)) @t50))) % 0.77/1.07 (assume @p40 (forall @t80 (or (= @t79 @t110) @t109))) % 0.77/1.07 (assume @p41 (forall @t114 (or (= (tptp.c_List_Onth @t113 @t48 @t1) (tptp.c_List_Onth @t8 @t112 @t1)) @t111))) % 0.77/1.07 (assume @p42 (forall @t116 (= (tptp.c_HOL_Ominus__class_Ominus @t115 @t59 tptp.tc_nat) @t48))) % 0.77/1.07 (assume @p43 (forall @t120 (or @t119 @t118))) % 0.77/1.07 (assume @p44 (forall @t120 (or @t117 (not @t119)))) % 0.77/1.07 (assume @p45 (forall @t54 (or @t89 @t122))) % 0.77/1.07 (assume @p46 (forall @t54 (or @t121 @t90))) % 0.77/1.07 (assume @p47 (forall @t126 (or @t125 @t102 @t124 @t123 (not (tptp.c_lessequals @t2 @t29 @t1))))) % 0.77/1.07 (assume @p48 (forall @t126 (or @t125 @t102 @t124 @t129 @t128))) % 0.77/1.07 (assume @p49 (forall (@list @t8 @t130 @t43 @t1) (or (= (tptp.c_List_Orev (tptp.c_List_Olist__update @t8 @t130 @t43 @t1) @t1) (tptp.c_List_Olist__update @t131 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t9 @t130 tptp.tc_nat) @t59 tptp.tc_nat) @t43 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t130 @t9 tptp.tc_nat))))) % 0.77/1.07 (assume @p50 (forall @t81 (not (= @t27 @t107)))) % 0.77/1.07 (assume @p51 (forall @t132 (not (= @t27 @t62)))) % 0.77/1.07 (assume @p52 (forall @t138 (or @t137 (= @t135 @t12)))) % 0.77/1.07 (assume @p53 (forall (@list @t42 @t1 @t12 @t139 @t43) (or (tptp.hBOOL (tptp.hAPP @t45 @t139)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t43) @t139))) (not @t46)))) % 0.77/1.07 (assume @p54 (forall (@list @t42 @t1 @t12) (tptp.hBOOL (tptp.hAPP @t45 @t12)))) % 0.77/1.07 (assume @p55 (forall (@list @t42 @t1 @t16) (tptp.hBOOL (tptp.hAPP @t140 @t16)))) % 0.77/1.07 (assume @p56 (forall @t54 (or @t143 @t142))) % 0.77/1.07 (assume @p57 (forall @t54 (or @t144 @t141))) % 0.77/1.07 (assume @p58 (forall @t126 (or @t125 @t102 @t147 @t129 @t146))) % 0.77/1.07 (assume @p59 (forall (@list @t42 @t43 @t15 @t12 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t148 @t15))) (tptp.c_ListOrder_Ostep1 @t42 (tptp.c_List_Olist_OCons @t43 @t12 @t1) (tptp.c_List_Olist_OCons @t15 @t12 @t1) @t1)))) % 0.77/1.07 (assume @p60 (forall (@list @t12 @t43 @t8 @t77 @t42 @t1) (or @t64 @t151 @t150))) % 0.77/1.07 (assume @p61 (forall @t154 (or @t11 @t153))) % 0.77/1.07 (assume @p62 (forall @t103 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t155 @t32 @t1) @t155)))) % 0.77/1.07 (assume @p63 (forall @t160 (or (= @t159 @t156) @t11))) % 0.77/1.07 (assume @p64 (forall @t24 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t2 @t16 @t1) @t2)))) % 0.77/1.07 (assume @p65 (forall @t116 (or @t111 (not (tptp.c_HOL_Oord__class_Oless @t48 @t28 tptp.tc_nat))))) % 0.77/1.07 (assume @p66 (forall @t24 (or @t26 @t127 (not @t161)))) % 0.77/1.07 (assume @p67 (forall @t24 (or @t26 @t161 @t128))) % 0.77/1.07 (assume @p68 (forall (@list @t163 @t162) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t166) (tptp.c_Lambda_OdB_OAbs @t162))) @t165))) % 0.77/1.07 (assume @p69 (forall @t103 (or @t87 (= (tptp.hAPP (tptp.hAPP @t19 @t167) @t32) @t16)))) % 0.77/1.07 (assume @p70 (forall @t54 (or (= @t170 @t168) @t169))) % 0.77/1.07 (assume @p71 (forall (@list @t42 @t12 @t172 @t1 @t171) (or (tptp.c_ListOrder_Ostep1 @t42 (tptp.c_List_Oappend @t12 @t172 @t1) (tptp.c_List_Oappend @t12 @t171 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t42 @t172 @t171 @t1))))) % 0.77/1.07 (assume @p72 (forall (@list @t42 @t77 @t8 @t1 @t12) (or @t175 (tptp.c_ListOrder_Ostep1 @t42 (tptp.c_List_Oappend @t77 @t12 @t1) @t173 @t1)))) % 0.77/1.07 (assume @p73 (forall @t182 (or @t181 (tptp.c_lessequals @t106 @t180 @t1) @t179 @t177))) % 0.77/1.07 (assume @p74 (forall @t54 (or @t183 @t142))) % 0.77/1.07 (assume @p75 (forall @t54 (or @t141 @t184))) % 0.77/1.07 (assume @p76 (forall @t187 (or (not @t186) @t185))) % 0.77/1.07 (assume @p77 (forall @t5 (or @t26 @t189))) % 0.77/1.07 (assume @p78 (forall @t5 (or @t73 @t190 @t190 @t189))) % 0.77/1.07 (assume @p79 (forall @t54 (tptp.c_HOL_Oord__class_Oless @t51 @t107 tptp.tc_nat))) % 0.77/1.07 (assume @p80 (forall @t192 (or @t39 (= @t34 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t191 @t37) @t29 @t1))))) % 0.77/1.07 (assume @p81 (forall @t103 (or @t73 (tptp.c_lessequals @t2 @t33 @t1) @t193 @t128))) % 0.77/1.07 (assume @p82 (forall @t199 (or @t198 @t197 @t196 @t195))) % 0.77/1.07 (assume @p83 (forall @t205 (or @t204 @t203 @t202 @t201))) % 0.77/1.07 (assume @p84 (forall (@list @t48 @t8 @t1 @t10) (or (= (tptp.c_List_Onth @t207 @t10 @t1) @t152) @t206))) % 0.77/1.07 (assume @p85 (forall @t209 (or @t99 (= @t208 (tptp.hAPP (tptp.hAPP @t19 @t71) @t139))))) % 0.77/1.07 (assume @p86 (forall @t209 (or @t88 (= @t208 (tptp.hAPP @t98 @t210))))) % 0.77/1.07 (assume @p87 (forall @t192 (or @t102 @t215))) % 0.77/1.07 (assume @p88 (forall @t192 (or @t102 (= @t212 (tptp.hAPP @t100 @t106))))) % 0.77/1.07 (assume @p89 (forall @t192 (or @t216 @t215))) % 0.77/1.07 (assume @p90 (forall (@list @t217 @t55) (or (not (= (tptp.c_Lambda_OdB_OAbs @t217) @t56)) (= @t217 @t55)))) % 0.77/1.07 (assume @p91 (forall @t225 (or @t224 @t222 @t221 @t11 @t219))) % 0.77/1.07 (assume @p92 (forall @t225 (or @t224 @t221 @t11 @t219 @t222))) % 0.77/1.07 (assume @p93 (forall @t54 (= (tptp.c_HOL_Ominus__class_Ominus @t107 @t115 tptp.tc_nat) @t51))) % 0.77/1.07 (assume @p94 (forall @t103 (or @t73 @t229 @t228 @t227))) % 0.77/1.07 (assume @p95 (forall @t103 (or @t73 @t229 @t230 @t18))) % 0.77/1.07 (assume @p96 (forall @t54 (or @t231 @t89 @t184))) % 0.77/1.07 (assume @p97 (forall @t54 (or @t231 @t233 @t119))) % 0.77/1.07 (assume @p98 (forall @t120 (or @t234 @t233 @t119))) % 0.77/1.07 (assume @p99 (forall @t241 (or @t240 @t237))) % 0.77/1.07 (assume @p100 (forall @t5 (or @t6 (tptp.c_lessequals @t2 @t3 @t1)))) % 0.77/1.07 (assume @p101 (forall @t81 (= (tptp.c_Divides_Odiv__class_Omod @t47 @t28 tptp.tc_nat) @t27))) % 0.77/1.07 (assume @p102 (forall (@list @t220 @t48 @t130) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t220 @t48 tptp.tc_nat) @t130 tptp.tc_nat) @t242))) % 0.77/1.07 (assume @p103 (forall (@list @t48 @t12 @t1 @t10) (or (= (tptp.c_List_Onth @t243 @t10 @t1) @t12) @t206))) % 0.77/1.07 (assume @p104 (forall @t24 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t3 @t1) @t2)))) % 0.77/1.07 (assume @p105 (forall @t54 (or (= @t52 @t47) @t90))) % 0.77/1.07 (assume @p106 (forall @t74 (or @t198 @t194 @t246 @t245))) % 0.77/1.07 (assume @p107 (forall @t187 (not @t247))) % 0.77/1.07 (assume @p108 (forall @t116 (not (tptp.c_HOL_Oord__class_Oless @t48 @t48 tptp.tc_nat)))) % 0.77/1.07 (assume @p109 (forall @t86 (or @t204 @t249))) % 0.77/1.07 (assume @p110 (forall @t86 (or @t250 @t249))) % 0.77/1.07 (assume @p111 (forall @t86 (or @t198 @t249))) % 0.77/1.07 (assume @p112 (forall @t116 (or @t111 (not (tptp.c_lessequals @t48 @t27 tptp.tc_nat))))) % 0.77/1.07 (assume @p113 (forall @t103 (or @t73 @t252 @t251 @t146))) % 0.77/1.07 (assume @p114 (forall @t253 (or @t174 @t151 @t150))) % 0.77/1.07 (assume @p115 (forall @t5 (or @t6 (not (tptp.c_lessequals @t3 @t2 @t1))))) % 0.77/1.07 (assume @p116 (forall @t254 (or @t23 @t200 @t194 @t64))) % 0.77/1.07 (assume @p117 (forall @t74 (or @t250 @t64 @t200 @t194))) % 0.77/1.07 (assume @p118 (forall @t54 (or @t231 @t50 @t142))) % 0.77/1.07 (assume @p119 (forall @t120 (or @t119 @t89 @t231))) % 0.77/1.07 (assume @p120 (forall (@list @t255 @t48 @t47) (or (tptp.hBOOL (tptp.hAPP @t256 @t47)) @t119 @t231 @t89))) % 0.77/1.07 (assume @p121 (forall @t120 (or (not (= @t257 @t27)) @t144 @t231))) % 0.77/1.07 (assume @p122 (forall (@list @t43 @t12) (or (tptp.c_HOL_Oord__class_Oless @t43 @t12 tptp.tc_nat) @t258 @t64))) % 0.77/1.07 (assume @p123 (forall @t74 (or @t204 @t64 @t259 @t245))) % 0.77/1.07 (assume @p124 (forall @t254 (or @t250 @t200 @t194 @t64))) % 0.77/1.07 (assume @p125 (forall @t74 (or @t204 @t64 @t245 @t259))) % 0.77/1.07 (assume @p126 (forall @t254 (or @t250 @t200 @t64 @t194))) % 0.77/1.07 (assume @p127 (forall @t74 (or @t250 @t64 @t194 @t200))) % 0.77/1.07 (assume @p128 (forall @t40 (or @t261 @t38 @t36 (= @t260 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t31 @t30 @t1) @t29 @t1))))) % 0.77/1.07 (assume @p129 (forall @t103 (or @t263 @t176 (not @t262)))) % 0.77/1.07 (assume @p130 (forall @t103 (or @t263 @t262 @t177))) % 0.77/1.07 (assume @p131 (forall @t116 (or (= @t264 @t48) @t97))) % 0.77/1.07 (assume @p132 (forall @t116 (or (= @t48 @t264) @t97))) % 0.77/1.07 (assume @p133 (forall @t182 (or @t269 @t268 @t267 @t266))) % 0.77/1.07 (assume @p134 (forall @t66 (or (tptp.c_lessequals @t12 @t43 tptp.tc_nat) (not @t258)))) % 0.77/1.07 (assume @p135 (forall @t54 (or @t141 @t90))) % 0.77/1.07 (assume @p136 (forall @t74 (or @t204 @t244 @t195))) % 0.77/1.07 (assume @p137 (forall @t74 (or @t198 @t244 @t195))) % 0.77/1.07 (assume @p138 (forall (@list @t270 @t8 @t1 @t271 @t48) (or (= (tptp.c_List_Onth @t272 @t48 @t271) (tptp.hAPP @t270 @t110)) @t109))) % 0.77/1.07 (assume @p139 (forall @t132 (not (= @t62 @t27)))) % 0.77/1.07 (assume @p140 (forall @t81 (not (= @t107 @t27)))) % 0.77/1.07 (assume @p141 (forall @t103 (or @t263 @t265 (not @t273)))) % 0.77/1.07 (assume @p142 (forall @t103 (or @t263 @t273 @t266))) % 0.77/1.07 (assume @p143 (forall @t116 (tptp.c_HOL_Oord__class_Oless @t48 @t115 tptp.tc_nat))) % 0.77/1.07 (assume @p144 (forall @t187 @t185)) % 0.77/1.07 (assume @p145 (forall @t275 (or (tptp.c_HOL_Oord__class_Oless @t157 @t130 tptp.tc_nat) @t242 @t274))) % 0.77/1.07 (assume @p146 (forall @t277 (or @t125 @t276 @t177))) % 0.77/1.07 (assume @p147 (forall @t192 (or @t125 @t176 (not @t276)))) % 0.77/1.07 (assume @p148 (forall @t280 (or @t125 @t279 @t177))) % 0.77/1.07 (assume @p149 (forall @t192 (or @t125 @t176 (not @t279)))) % 0.77/1.07 (assume @p150 (forall @t277 (or @t181 @t276 @t177))) % 0.77/1.07 (assume @p151 (forall @t280 (or @t181 @t279 @t177))) % 0.77/1.07 (assume @p152 (forall @t138 (or (= @t282 (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Otake @t281 @t8 @t1) @t1)) @t136))) % 0.77/1.07 (assume @p153 (forall @t5 (or @t6 (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)))) % 0.77/1.07 (assume @p154 (forall @t287 (or (= @t286 (tptp.hAPP @t284 @t283)) @t274))) % 0.77/1.07 (assume @p155 (forall @t24 (or @t6 (tptp.c_HOL_Oord__class_Oless @t16 (tptp.hAPP @t20 @t3) @t1)))) % 0.77/1.07 (assume @p156 (forall (@list @t1 @t288 @t133) (or @t250 @t293 (not @t292) (not @t291)))) % 0.77/1.07 (assume @p157 (forall (@list @t1 @t133 @t288) (or @t250 @t293 @t291 @t292))) % 0.77/1.07 (assume @p158 (forall @t116 (or @t96 @t111))) % 0.77/1.07 (assume @p159 (forall @t138 (or (= @t294 (tptp.c_List_Odrop @t281 @t8 @t1)) @t136))) % 0.77/1.07 (assume @p160 (forall @t298 (or (= @t297 (tptp.c_Lambda_OdB_OVar @t283)) @t274))) % 0.77/1.07 (assume @p161 (forall @t302 (or (= @t301 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t10 @t59 tptp.tc_nat))) (not @t299)))) % 0.77/1.07 (assume @p162 (not (tptp.c_HOL_Oord__class_Oless @t27 @t27 tptp.tc_nat))) % 0.77/1.07 (assume @p163 (forall @t103 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t32 @t1) @t155)))) % 0.77/1.07 (assume @p164 (forall @t303 (or @t39 (= (tptp.c_Divides_Odiv__class_Omod @t101 @t32 @t1) @t155)))) % 0.77/1.07 (assume @p165 (forall @t287 (or (= @t286 (tptp.hAPP @t284 @t220)) @t304))) % 0.77/1.07 (assume @p166 (forall @t54 (or @t141 @t122))) % 0.77/1.07 (assume @p167 (forall @t54 (or @t305 @t142))) % 0.77/1.07 (assume @p168 (forall @t116 (not (tptp.c_lessequals @t115 @t48 tptp.tc_nat)))) % 0.77/1.07 (assume @p169 (forall @t160 @t153)) % 0.77/1.07 (assume @p170 (forall @t311 (or @t89 (not @t310) @t307 @t306))) % 0.77/1.07 (assume @p171 (forall @t312 (or @t310 @t90 @t307 @t306))) % 0.77/1.07 (assume @p172 (forall @t126 (or @t6 @t147 @t313 @t146))) % 0.77/1.07 (assume @p173 (forall @t114 (= (tptp.c_List_Onth @t113 @t115 @t1) @t110))) % 0.77/1.07 (assume @p174 (forall @t24 (or @t26 @t314 @t227))) % 0.77/1.07 (assume @p175 (forall @t24 (or @t26 @t226 (not @t314)))) % 0.77/1.07 (assume @p176 (forall @t54 (or @t53 @t89))) % 0.77/1.07 (assume @p177 (tptp.c_lessequals @t27 @t27 tptp.tc_nat)) % 0.77/1.07 (assume @p178 (forall @t116 (not (= @t115 @t48)))) % 0.77/1.07 (assume @p179 (forall @t116 (not (= @t48 @t115)))) % 0.77/1.07 (assume @p180 (forall @t54 (= @t170 (tptp.c_Divides_Odiv__class_Omod @t168 @t48 tptp.tc_nat)))) % 0.77/1.07 (assume @p181 (forall @t277 (or @t269 @t315 @t266))) % 0.77/1.07 (assume @p182 (forall @t277 (or @t125 @t315 @t266))) % 0.77/1.07 (assume @p183 (forall @t192 (or @t125 @t265 (not @t315)))) % 0.77/1.07 (assume @p184 (forall @t280 (or @t269 @t316 @t266))) % 0.77/1.07 (assume @p185 (forall @t280 (or @t125 @t316 @t266))) % 0.77/1.07 (assume @p186 (forall @t192 (or @t125 @t265 (not @t316)))) % 0.77/1.07 (assume @p187 (forall @t319 (or (not @t318) @t317))) % 0.77/1.07 (assume @p188 (forall @t319 (or (not @t317) @t318))) % 0.77/1.07 (assume @p189 (forall @t323 (or @t99 (= @t322 (tptp.hAPP @t320 @t178))))) % 0.77/1.07 (assume @p190 (forall @t192 (or @t99 (= @t214 (tptp.hAPP @t320 @t32))))) % 0.77/1.07 (assume @p191 (forall @t323 (or @t99 (= @t322 (tptp.hAPP @t104 (tptp.hAPP @t20 @t178)))))) % 0.77/1.07 (assume @p192 (forall @t192 (or @t99 @t215))) % 0.77/1.07 (assume @p193 (forall @t324 (or (= (tptp.c_List_Onth @t131 @t48 @t1) (tptp.c_List_Onth @t8 (tptp.c_HOL_Ominus__class_Ominus @t9 @t115 tptp.tc_nat) @t1)) @t109))) % 0.77/1.07 (assume @p194 (forall @t81 (not (tptp.c_HOL_Oord__class_Oless @t47 @t27 tptp.tc_nat)))) % 0.77/1.07 (assume @p195 (forall @t116 (not (tptp.c_HOL_Oord__class_Oless @t48 @t27 tptp.tc_nat)))) % 0.77/1.07 (assume @p196 (forall (@list @t1 @t12 @t43 @t139 @t295) (or @t88 (not (= @t208 (tptp.hAPP @t98 @t295))) (= @t210 @t295)))) % 0.77/1.07 (assume @p197 (forall @t192 (or @t261 (= @t260 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t35 @t32 @t1) @t29 @t1))))) % 0.77/1.07 (assume @p198 (forall @t192 (or @t261 (= @t260 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t16 @t37 @t1) @t29 @t1))))) % 0.77/1.07 (assume @p199 (forall @t326 (or @t325 @t222))) % 0.77/1.07 (assume @p200 (forall (@list @t255 @t1 @t271 @t327) (= (tptp.hAPP (tptp.c_COMBK @t255 @t1 @t271) @t327) @t255))) % 0.77/1.07 (assume @p201 (forall @t54 (or (tptp.c_HOL_Oord__class_Oless @t52 @t48 tptp.tc_nat) @t97))) % 0.77/1.07 (assume @p202 (forall @t74 (or @t250 @t194 @t246))) % 0.77/1.07 (assume @p203 (forall @t86 (or @t250 (not @t328) @t249))) % 0.77/1.07 (assume @p204 (forall @t86 (or @t250 @t248 @t328))) % 0.77/1.07 (assume @p205 (forall @t74 (or @t250 @t195 @t259))) % 0.77/1.07 (assume @p206 (forall @t254 (or @t250 @t246 @t194))) % 0.77/1.07 (assume @p207 (forall @t74 (or @t250 @t245 @t201))) % 0.77/1.07 (assume @p208 (forall @t254 (or @t250 @t200 @t244))) % 0.77/1.07 (assume @p209 (forall @t254 (or @t198 @t259 @t195))) % 0.77/1.07 (assume @p210 (forall @t192 (or @t39 (= @t34 @t329)))) % 0.77/1.07 (assume @p211 (forall @t192 (or @t39 (= @t34 @t330)))) % 0.77/1.07 (assume @p212 (forall @t126 (or @t125 @t102 @t147 @t313 @t128))) % 0.77/1.07 (assume @p213 (forall @t94 (or (tptp.c_lessequals @t93 @t92 tptp.tc_nat) @t142))) % 0.77/1.07 (assume @p214 (forall (@list @t47 @t91 @t48) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t47 @t91 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t48 @t91 tptp.tc_nat) tptp.tc_nat) @t142))) % 0.77/1.07 (assume @p215 (forall @t312 (or @t331 @t142 @t307 @t306))) % 0.77/1.07 (assume @p216 (forall @t311 (or @t141 (not @t331) @t307 @t306))) % 0.77/1.07 (assume @p217 (forall (@list @t1 @t15 @t43 @t12) (or @t88 (not (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t43 @t1) @t82)) (= @t15 @t43)))) % 0.77/1.07 (assume @p218 (forall (@list @t1 @t12 @t333 @t332) (or @t88 (not (= @t82 @t334)) (= @t333 @t332)))) % 0.77/1.07 (assume @p219 (forall @t312 (or (not (= @t309 @t308)) @t307 @t306 @t231))) % 0.77/1.07 (assume @p220 (forall @t5 (or @t4 (not (= @t2 @t3))))) % 0.77/1.07 (assume @p221 (forall @t74 (or (not (tptp.class_Int_Oring__char__0 @t1)) @t84 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t12 @t1) (tptp.c_Int_Onumber__class_Onumber__of @t43 @t1))) @t64))) % 0.77/1.07 (assume @p222 (forall @t116 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t48 tptp.tc_nat) @t27))) % 0.77/1.07 (assume @p223 (forall @t116 (tptp.c_HOL_Oord__class_Oless @t27 @t115 tptp.tc_nat))) % 0.77/1.07 (assume @p224 (forall @t187 (tptp.c_HOL_Oord__class_Oless @t27 @t65 tptp.tc_nat))) % 0.77/1.07 (assume @p225 (forall @t336 (= @t239 @t335))) % 0.77/1.07 (assume @p226 (forall @t339 (or @t338 (not (tptp.c_lessequals @t9 @t59 tptp.tc_nat))))) % 0.77/1.07 (assume @p227 (forall @t54 (tptp.c_lessequals @t51 @t47 tptp.tc_nat))) % 0.77/1.07 (assume @p228 (forall @t103 (or @t73 @t229 @t228 @t18))) % 0.77/1.07 (assume @p229 (forall @t74 (or @t85 @t84 (not (= @t340 @t2)) @t64))) % 0.77/1.07 (assume @p230 (forall @t103 (or @t87 @t342 @t341))) % 0.77/1.07 (assume @p231 (forall @t103 (or @t88 @t342 @t341))) % 0.77/1.07 (assume @p232 (forall (@list @t133) (or (= @t134 (tptp.c_Suc @t281)) (not (tptp.c_HOL_Oord__class_Oless @t27 @t134 tptp.tc_nat))))) % 0.77/1.07 (assume @p233 (forall @t312 (or (= (tptp.c_HOL_Ominus__class_Ominus @t309 @t308 tptp.tc_nat) @t51) @t307 @t306))) % 0.77/1.07 (assume @p234 (forall (@list @t10 @t220 @t130) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t10 @t220 tptp.tc_nat) @t130 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t10 @t130 tptp.tc_nat) @t220 tptp.tc_nat)))) % 0.77/1.07 (assume @p235 (forall @t116 (tptp.c_lessequals @t27 @t48 tptp.tc_nat))) % 0.77/1.07 (assume @p236 (forall @t103 (or @t73 @t252 @t251 @t128))) % 0.77/1.07 (assume @p237 (forall @t103 (or @t73 @t252 @t193 @t146))) % 0.77/1.07 (assume @p238 (forall (@list @t16 @t29 @t32) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t16 @t29 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t32 @t29 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t29 @t16 tptp.tc_nat)) @t343))) % 0.77/1.07 (assume @p239 (forall @t54 (or @t344 (= @t107 @t48) @t90))) % 0.77/1.07 (assume @p240 (forall @t54 (or @t142 @t118))) % 0.77/1.07 (assume @p241 (forall @t120 (or @t117 @t141))) % 0.77/1.07 (assume @p242 (forall @t209 (or @t85 @t84 (not (= @t71 @t210)) (= @t43 @t139)))) % 0.77/1.07 (assume @p243 (forall @t192 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t346 @t345))) % 0.77/1.07 (assume @p244 (forall @t192 (or @t347 @t346 @t345))) % 0.77/1.07 (assume @p245 (forall @t126 (or @t347 (not (= @t101 @t105)) @t345))) % 0.77/1.07 (assume @p246 (forall @t54 (tptp.c_lessequals @t52 @t47 tptp.tc_nat))) % 0.77/1.07 (assume @p247 (forall @t349 (or @t348 @t237))) % 0.77/1.07 (assume @p248 (forall @t192 (or @t261 (= @t260 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t35 @t37 @t1) @t29 @t1))))) % 0.77/1.07 (assume @p249 (forall @t54 (or (not @t169) (= @t170 @t27)))) % 0.77/1.07 (assume @p250 (forall (@list @t12 @t43 @t42 @t77 @t1 @t8) (or @t64 @t350 @t150))) % 0.77/1.07 (assume @p251 (forall (@list @t12 @t8 @t1 @t133) (or (= @t135 (tptp.c_List_Onth @t8 @t281 @t1)) @t136))) % 0.77/1.07 (assume @p252 (forall @t311 (= (tptp.c_HOL_Ominus__class_Ominus @t108 (tptp.c_Suc @t130) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t51 @t130 tptp.tc_nat)))) % 0.77/1.07 (assume @p253 (forall @t54 (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t115 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t47 @t59 tptp.tc_nat) @t48 tptp.tc_nat)))) % 0.77/1.07 (assume @p254 (forall @t336 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t239)) @t351))) % 0.77/1.07 (assume @p255 (forall (@list @t1 @t16 @t32 @t29 @t178) (or @t99 (= (tptp.hAPP @t213 @t321) (tptp.hAPP @t320 @t180))))) % 0.77/1.07 (assume @p256 (forall @t116 (tptp.c_lessequals @t115 @t115 tptp.tc_nat))) % 0.77/1.07 (assume @p257 (forall @t352 (or (= (tptp.c_HOL_Ominus__class_Ominus @t48 (tptp.c_HOL_Ominus__class_Ominus @t48 @t10 tptp.tc_nat) tptp.tc_nat) @t10) (not (tptp.c_lessequals @t10 @t48 tptp.tc_nat))))) % 0.77/1.07 (assume @p258 (forall @t336 (= @t335 @t239))) % 0.77/1.07 (assume @p259 (forall @t54 (or (= @t47 @t115) @t141 (not @t305)))) % 0.77/1.07 (assume @p260 (forall @t187 (or @t247 @t185))) % 0.77/1.07 (assume @p261 (forall @t54 (or @t90 @t233))) % 0.77/1.07 (assume @p262 (forall @t120 (or @t232 @t89))) % 0.77/1.07 (assume @p263 (forall @t5 (or @t6 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.hAPP (tptp.hAPP @t19 @t3) @t3) @t1)))) % 0.77/1.07 (assume @p264 (forall (@list @t42 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t44 @t1) @t44))) % 0.77/1.07 (assume @p265 (forall @t86 (or @t99 (= (tptp.hAPP @t188 @t12) @t12)))) % 0.77/1.07 (assume @p266 (forall @t24 (or @t102 @t353))) % 0.77/1.07 (assume @p267 (forall @t86 (or @t85 @t84 (= @t12 (tptp.hAPP @t70 @t2))))) % 0.77/1.07 (assume @p268 (forall @t24 (or @t102 @t354))) % 0.77/1.07 (assume @p269 (forall @t24 (or @t355 @t353))) % 0.77/1.07 (assume @p270 (forall @t24 (or @t355 @t354))) % 0.77/1.07 (assume @p271 (forall @t24 (or @t99 @t354))) % 0.77/1.07 (assume @p272 (forall @t24 (or @t99 @t353))) % 0.77/1.07 (assume @p273 (forall @t14 (or (not @t356) @t11 (= @t152 @t12)))) % 0.77/1.07 (assume @p274 (forall @t360 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t166) @t359)) @t358))) % 0.77/1.07 (assume @p275 (forall @t103 (or @t87 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t32 @t1) @t16)))) % 0.77/1.07 (assume @p276 (forall @t182 (or @t269 @t268 @t267 @t177))) % 0.77/1.07 (assume @p277 (forall @t182 (or @t269 @t268 @t179 @t266))) % 0.77/1.07 (assume @p278 (forall (@list @t12 @t48) (or (tptp.c_HOL_Oord__class_Oless @t65 @t115 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t12 @t48 tptp.tc_nat))))) % 0.77/1.07 (assume @p279 (forall @t54 (or @t89 (not @t361)))) % 0.77/1.07 (assume @p280 (forall @t54 (or @t361 @t90))) % 0.77/1.07 (assume @p281 (forall @t24 (or @t26 @t145 (not @t362)))) % 0.77/1.07 (assume @p282 (forall @t24 (or @t26 @t362 @t146))) % 0.77/1.07 (assume @p283 (forall @t364 (or (tptp.c_HOL_Oord__class_Oless @t27 @t9 tptp.tc_nat) @t363))) % 0.77/1.07 (assume @p284 (forall @t5 (not (tptp.c_HOL_Oord__class_Oless @t27 @t365 tptp.tc_nat)))) % 0.77/1.07 (assume @p285 (forall (@list @t77 @t8 @t43 @t12 @t42 @t1) (or @t372 @t371 @t370))) % 0.77/1.07 (assume @p286 (forall (@list @t42 @t43 @t12 @t77 @t1 @t8) (or @t350 @t371 @t370))) % 0.77/1.07 (assume @p287 (forall (@list @t42 @t43 @t12 @t77 @t8 @t1) (or @t350 @t174 @t370))) % 0.77/1.07 (assume @p288 (forall (@list @t77 @t8 @t42 @t1 @t43 @t12) (or @t372 @t174 @t370))) % 0.77/1.07 (assume @p289 (forall @t205 (or @t204 (tptp.c_lessequals @t139 @t12 @t1) @t373 @t259))) % 0.77/1.07 (assume @p290 (forall @t205 (or @t204 @t203 @t373 @t201))) % 0.77/1.07 (assume @p291 (forall @t205 (or @t204 @t203 @t202 @t259))) % 0.77/1.07 (assume @p292 (forall @t103 (or @t73 (tptp.c_lessequals @t33 @t2 @t1) @t230 @t227))) % 0.77/1.07 (assume @p293 (forall @t199 (or @t198 (tptp.c_lessequals @t12 @t139 @t1) @t374 @t245))) % 0.77/1.07 (assume @p294 (forall @t116 (tptp.c_lessequals @t48 @t48 tptp.tc_nat))) % 0.77/1.07 (assume @p295 (forall @t275 (or (tptp.c_lessequals @t10 @t130 tptp.tc_nat) (not (tptp.c_lessequals @t220 @t130 tptp.tc_nat)) (not (tptp.c_lessequals @t10 @t220 tptp.tc_nat))))) % 0.77/1.07 (assume @p296 (forall @t187 @t186)) % 0.77/1.07 (assume @p297 (forall @t86 (or @t204 @t328))) % 0.77/1.07 (assume @p298 (forall @t86 (or @t198 @t328))) % 0.77/1.07 (assume @p299 (forall @t199 (or @t198 @t197 @t196 @t245))) % 0.77/1.07 (assume @p300 (forall @t199 (or @t198 @t197 @t374 @t195))) % 0.77/1.07 (assume @p301 (forall (@list @t1 @t16 @t32 @t178 @t29) (or @t263 (tptp.c_lessequals @t16 @t180 @t1) @t179 (not (tptp.c_lessequals @t16 @t211 @t1))))) % 0.77/1.07 (assume @p302 (forall @t253 (or @t174 @t350 @t150))) % 0.77/1.07 (assume @p303 (forall (@list @t42 @t12 @t77 @t1 @t8) (or (tptp.c_ListOrder_Ostep1 @t42 @t375 @t113 @t1) @t175))) % 0.77/1.07 (assume @p304 (forall (@list @t55 @t377 @t376) (not (= @t56 @t378)))) % 0.77/1.07 (assume @p305 (forall (@list @t255 @t16 @t32) (or (tptp.hBOOL (tptp.hAPP @t255 @t27)) @t343 (not (tptp.hBOOL (tptp.hAPP @t255 (tptp.c_HOL_Ominus__class_Ominus @t16 @t32 tptp.tc_nat))))))) % 0.77/1.07 (assume @p306 (forall @t120 (or @t234 @t233 @t142))) % 0.77/1.07 (assume @p307 (forall (@list @t377 @t376 @t55) (not (= @t378 @t56)))) % 0.77/1.07 (assume @p308 (forall (@list @t55 @t57) (not (= @t56 @t58)))) % 0.77/1.07 (assume @p309 (forall @t54 (or @t89 (not @t379)))) % 0.77/1.07 (assume @p310 (forall @t120 (or @t379 @t90))) % 0.77/1.07 (assume @p311 (forall @t54 (or @t89 (not @t344)))) % 0.77/1.07 (assume @p312 (forall @t54 (or @t183 @t90))) % 0.77/1.07 (assume @p313 (forall @t116 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t48 @t28 tptp.tc_nat)) @t48) @t97))) % 0.77/1.07 (assume @p314 (forall @t54 (or (tptp.c_HOL_Oord__class_Oless @t51 @t47 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t27 @t47 tptp.tc_nat)) @t97))) % 0.77/1.07 (assume @p315 (forall @t382 (or @t263 @t381 @t380 @t259))) % 0.77/1.07 (assume @p316 (forall @t382 (or @t263 @t381 @t246 (not @t380)))) % 0.77/1.07 (assume @p317 (forall @t382 (or @t263 @t381 @t383 @t195))) % 0.77/1.07 (assume @p318 (forall @t382 (or @t263 @t381 @t194 (not @t383)))) % 0.77/1.07 (assume @p319 (forall @t277 (or @t39 (= @t329 @t34)))) % 0.77/1.07 (assume @p320 (forall @t192 (or @t39 (= @t330 @t34)))) % 0.77/1.07 (assume @p321 (forall @t352 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t48 @t157 tptp.tc_nat) @t48 tptp.tc_nat) @t97))) % 0.77/1.07 (assume @p322 (forall @t326 (or @t325 @t222 @t11))) % 0.77/1.07 (assume @p323 (forall @t303 (or @t204 @t384 @t341 @t123))) % 0.77/1.07 (assume @p324 (forall @t303 (or @t204 @t384 @t123 @t341))) % 0.77/1.07 (assume @p325 (forall @t54 (or @t89 @t231 @t142))) % 0.77/1.07 (assume @p326 (forall @t54 (or @t231 @t89 @t142))) % 0.77/1.07 (assume @p327 (forall @t74 (or @t204 @t64 @t194 @t245))) % 0.77/1.07 (assume @p328 (forall @t74 (or @t204 @t194 @t64 @t245))) % 0.77/1.07 (assume @p329 (forall @t103 (or @t204 @t265 @t341 @t177))) % 0.77/1.07 (assume @p330 (forall @t103 (or @t204 @t265 @t177 @t341))) % 0.77/1.07 (assume @p331 (forall @t74 (or @t250 @t64 @t245 @t194))) % 0.77/1.07 (assume @p332 (forall @t74 (or @t250 @t64 @t194 @t245))) % 0.77/1.07 (assume @p333 (forall @t120 (or @t49 (not @t385)))) % 0.77/1.07 (assume @p334 (forall @t120 (or @t385 @t50))) % 0.77/1.07 (assume @p335 (forall @t103 (or @t204 @t266 @t386))) % 0.77/1.07 (assume @p336 (forall @t388 (or @t387 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t32) @t29))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t16) @t32)))))) % 0.77/1.07 (assume @p337 (forall @t388 (or @t387 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t32) @t29))) (not (tptp.hBOOL (tptp.hAPP @t140 @t32)))))) % 0.77/1.07 (assume @p338 (forall @t74 (or @t250 @t195 @t201))) % 0.77/1.07 (assume @p339 (forall @t120 (or @t49 @t141))) % 0.77/1.07 (assume @p340 (forall @t254 (or @t250 @t246 @t244))) % 0.77/1.07 (assume @p341 (forall @t254 (or @t198 @t201 @t195))) % 0.77/1.07 (assume @p342 (forall @t303 (or @t198 @t386 @t266))) % 0.77/1.07 (assume @p343 (forall @t389 (or (= (tptp.c_List_Otake @t48 @t113 @t1) (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Otake @t112 @t8 @t1) @t1)) @t111))) % 0.77/1.07 (assume @p344 (forall @t389 (or (= (tptp.c_List_Odrop @t48 @t113 @t1) (tptp.c_List_Odrop @t112 @t8 @t1)) @t111))) % 0.77/1.07 (assume @p345 (forall @t391 (or (= @t390 (tptp.c_List_Oappend @t8 (tptp.c_List_Olist__update @t77 @t76 @t12 @t1) @t1)) @t75))) % 0.77/1.07 (assume @p346 (forall @t339 (= (tptp.c_List_Orotate @t48 @t131 @t1) (tptp.c_List_Orev (tptp.c_List_Orotate (tptp.c_HOL_Ominus__class_Ominus @t9 @t392 tptp.tc_nat) @t8 @t1) @t1)))) % 0.77/1.07 (assume @p347 (forall @t154 (or (= (tptp.c_List_Otake @t157 @t8 @t1) (tptp.c_List_Oappend @t393 (tptp.c_List_Olist_OCons @t152 @t41 @t1) @t1)) @t11))) % 0.77/1.07 (assume @p348 (forall @t160 (or (= @t8 (tptp.c_List_Oappend @t393 @t159 @t1)) @t11))) % 0.77/1.07 (assume @p349 (forall @t394 (= (tptp.c_List_Onth @t113 @t27 @t1) @t12))) % 0.77/1.07 (assume @p350 (forall (@list @t1 @t12 @t95) (or @t355 (= (tptp.hAPP @t70 (tptp.c_List_Ofoldl @t19 @t2 @t95 @t1 @t1)) (tptp.c_List_Ofoldl @t19 @t12 @t95 @t1 @t1))))) % 0.77/1.07 (assume @p351 (forall @t398 (= @t397 @t395))) % 0.77/1.07 (assume @p352 (forall (@list @t15 @t1 @t12) (= @t395 @t397))) % 0.77/1.07 (assume @p353 (forall (@list @t12 @t77 @t1) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t375 @t7) (tptp.c_Nat_Osize__class_Osize @t77 @t7) tptp.tc_nat)))) % 0.77/1.07 (assume @p354 (forall (@list @t163 @t357 @t162 @t399) (or (tptp.hBOOL (tptp.hAPP @t404 (tptp.hAPP @t401 @t399))) @t400 @t165))) % 0.77/1.07 (assume @p355 (forall (@list @t163 @t357 @t162) (or (tptp.hBOOL (tptp.hAPP @t404 (tptp.hAPP @t401 @t357))) @t165))) % 0.77/1.07 (assume @p356 (forall (@list @t163 @t357 @t399) (or (tptp.hBOOL (tptp.hAPP @t404 (tptp.hAPP @t402 @t399))) @t400))) % 0.77/1.07 (assume @p357 (forall @t389 (= (tptp.c_List_Otake @t115 @t113 @t1) (tptp.c_List_Olist_OCons @t12 @t207 @t1)))) % 0.77/1.07 (assume @p358 (forall @t241 (or @t240 (= @t239 @t163)))) % 0.77/1.07 (assume @p359 (forall @t408 (or @t407 @t406))) % 0.77/1.07 (assume @p360 (forall @t408 (or @t407 @t409))) % 0.77/1.07 (assume @p361 (forall @t349 (or @t348 (= @t163 @t239)))) % 0.77/1.07 (assume @p362 (forall (@list @t42 @t163 @t357) (or (not (= @t410 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t357 @t235 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t410 @t357)))) % 0.77/1.07 (assume @p363 (forall (@list @t42 @t163) (= @t410 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t410 @t235 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.07 (assume @p364 (forall @t415 (or @t414 @t411))) % 0.77/1.07 (assume @p365 (forall @t421 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t420) @t418)) @t416))) % 0.77/1.07 (assume @p366 (forall @t415 (or @t414 @t416))) % 0.77/1.07 (assume @p367 (forall (@list @t405 @t48 @t133) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t405 @t425 tptp.tc_Lambda_OdB) @t424))) % 0.77/1.07 (assume @p368 (forall @t394 (= (tptp.c_List_Odrop @t59 @t113 @t1) @t8))) % 0.77/1.07 (assume @p369 (forall @t389 (= (tptp.c_List_Odrop @t115 @t113 @t1) @t426))) % 0.77/1.07 (assume @p370 (forall (@list @t48 @t8 @t1 @t43 @t77) (or (not (= @t426 @t149)) (= @t110 @t43)))) % 0.77/1.07 (assume @p371 (forall @t339 (or (= @t207 @t8) @t428))) % 0.77/1.07 (assume @p372 (forall @t339 (= (tptp.c_Nat_Osize__class_Osize @t426 @t7) (tptp.c_HOL_Ominus__class_Ominus @t9 @t48 tptp.tc_nat)))) % 0.77/1.07 (assume @p373 (forall (@list @t12 @t8 @t1 @t10 @t43) (= (tptp.c_List_Olist__update @t113 @t157 @t43 @t1) (tptp.c_List_Olist_OCons @t12 @t429 @t1)))) % 0.77/1.07 (assume @p374 (forall (@list @t284 @t295 @t285 @t357) (or (tptp.c_Type_Otyping @t284 @t295 @t433) @t432))) % 0.77/1.07 (assume @p375 (forall @t434 (= (tptp.c_List_Oreplicate @t115 @t12 @t1) (tptp.c_List_Olist_OCons @t12 @t243 @t1)))) % 0.77/1.07 (assume @p376 (forall @t14 (or @t356 (not (tptp.c_lessequals @t9 @t10 tptp.tc_nat))))) % 0.77/1.07 (assume @p377 (forall @t437 (or @t436 @t435 @t400))) % 0.77/1.07 (assume @p378 (forall (@list @t12 @t163) (or @t247 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t438) @t163) @t12) @t163)))) % 0.77/1.07 (assume @p379 (forall @t302 (or (= @t301 @t300) (= @t10 @t130) @t299))) % 0.77/1.07 (assume @p380 (forall @t298 (or (= @t297 @t296) @t304))) % 0.77/1.07 (assume @p381 (forall (@list @t48 @t47 @t8 @t1) (= (tptp.c_List_Odrop @t48 (tptp.c_List_Otake @t47 @t8 @t1) @t1) (tptp.c_List_Otake @t51 @t426 @t1)))) % 0.77/1.07 (assume @p382 (forall (@list @t284 @t10 @t439 @t1 @t285) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t284 @t10 @t439 @t1) @t27 @t285 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t284 @t27 @t285 @t1) @t157 @t439 @t1)))) % 0.77/1.07 (assume @p383 (forall @t339 (= @t337 (tptp.c_List_Orotate @t392 @t8 @t1)))) % 0.77/1.07 (assume @p384 (forall @t443 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t442) @t441)) @t416))) % 0.77/1.07 (assume @p385 (forall (@list @t1 @t8 @t16) (or @t216 (= (tptp.c_List_Ofoldr @t19 @t8 @t16 @t1 @t1) @t444)))) % 0.77/1.07 (assume @p386 (forall (@list @t10 @t130 @t12 @t1) (= (tptp.c_List_Odrop @t10 @t445 @t1) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t130 @t10 tptp.tc_nat) @t12 @t1)))) % 0.77/1.07 (assume @p387 (forall (@list @t10 @t130) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t300) @t130) @t300) (not (tptp.c_HOL_Oord__class_Oless @t10 @t130 tptp.tc_nat))))) % 0.77/1.07 (assume @p388 (forall (@list @t8 @t12 @t77 @t1) (= (tptp.c_List_Onth @t446 @t9 @t1) @t12))) % 0.77/1.07 (assume @p389 (forall @t394 (= (tptp.c_List_Otake @t59 @t113 @t1) @t366))) % 0.77/1.07 (assume @p390 (forall @t138 (or @t137 (= @t294 @t113)))) % 0.77/1.07 (assume @p391 (forall @t448 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t447) @t238)) @t416))) % 0.77/1.07 (assume @p392 (forall (@list @t42 @t405 @t236) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t42 @t405 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t447)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t405 @t236 tptp.tc_Lambda_OdB))))) % 0.77/1.07 (assume @p393 (forall @t339 (or (not @t449) @t427))) % 0.77/1.07 (assume @p394 (forall @t339 (or @t449 @t428))) % 0.77/1.07 (assume @p395 (forall @t461 (or @t460 @t455 @t454))) % 0.77/1.07 (assume @p396 (forall @t462 (= (tptp.c_List_Otake @t48 @t78 @t1) (tptp.c_List_Oappend @t207 (tptp.c_List_Otake @t76 @t77 @t1) @t1)))) % 0.77/1.07 (assume @p397 (forall @t461 (or @t460 @t464 @t463))) % 0.77/1.07 (assume @p398 (forall @t461 (or @t460 (= @t458 @t465) @t463))) % 0.77/1.07 (assume @p399 (forall @t461 (or @t460 (= @t467 @t456) @t454))) % 0.77/1.07 (assume @p400 (forall @t462 (= (tptp.c_List_Odrop @t48 @t78 @t1) (tptp.c_List_Oappend @t426 (tptp.c_List_Odrop @t76 @t77 @t1) @t1)))) % 0.77/1.07 (assume @p401 (forall (@list @t8 @t77 @t1 @t10 @t12) (or (= (tptp.c_List_Olist__update @t78 @t10 @t12 @t1) (tptp.c_List_Oappend @t13 @t77 @t1)) @t11))) % 0.77/1.07 (assume @p402 (forall @t391 (or (= @t390 (tptp.c_List_Oappend (tptp.c_List_Olist__update @t8 @t48 @t12 @t1) @t77 @t1)) @t109))) % 0.77/1.07 (assume @p403 (forall (@list @t48 @t468 @t42 @t236) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t422 @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.77/1.07 (assume @p404 (forall @t81 (= @t469 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t469 @t235 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.07 (assume @p405 (forall @t471 (or @t470 @t237))) % 0.77/1.07 (assume @p406 (forall (@list @t163 @t357 @t48 @t236) (not (= @t473 @t472)))) % 0.77/1.07 (assume @p407 (forall (@list @t8 @t10 @t16 @t1) (or (= (tptp.c_List_Olist__update @t8 @t10 @t16 @t1) (tptp.c_List_Oappend @t393 (tptp.c_List_Olist_OCons @t16 @t158 @t1) @t1)) @t11))) % 0.77/1.07 (assume @p408 (forall @t475 (or @t355 (= (tptp.c_List_Ofoldl @t19 @t2 @t8 @t1 @t1) @t474)))) % 0.77/1.07 (assume @p409 (forall (@list @t1 @t16 @t8) (or @t355 (= @t444 (tptp.hAPP @t20 @t474))))) % 0.77/1.07 (assume @p410 (forall (@list @t130 @t1 @t271 @t477) (= (tptp.c_List_Omap (tptp.c_COMBK @t130 @t1 @t271) @t477 @t271 @t1) (tptp.c_List_Oreplicate (tptp.c_Nat_Osize__class_Osize @t477 @t476) @t130 @t1)))) % 0.77/1.07 (assume @p411 (forall @t339 (or (not (= @t392 @t27)) @t338))) % 0.77/1.07 (assume @p412 (forall (@list @t284 @t357 @t285 @t295) (or (tptp.c_Type_Otyping @t284 @t357 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t433) @t285)) @t432))) % 0.77/1.07 (assume @p413 (forall @t138 (or @t137 (= @t282 @t41)))) % 0.77/1.07 (assume @p414 (forall @t360 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t473) (tptp.hAPP @t417 @t27))))) % 0.77/1.07 (assume @p415 (forall (@list @t133 @t48 @t405) (or (= @t133 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t422 @t425 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t424))) % 0.77/1.07 (assume @p416 (forall (@list @t450 @t1 @t452 @t458) (or @t478 @t454 (= @t459 (tptp.c_List_Oappend @t450 @t467 @t1))))) % 0.77/1.07 (assume @p417 (forall (@list @t452 @t1 @t450 @t456) (or @t480 @t479 @t463))) % 0.77/1.07 (assume @p418 (forall @t154 (= (tptp.c_List_Orev @t393 @t1) (tptp.c_List_Odrop @t481 @t131 @t1)))) % 0.77/1.07 (assume @p419 (forall @t154 (= (tptp.c_List_Orev @t156 @t1) (tptp.c_List_Otake @t481 @t131 @t1)))) % 0.77/1.07 (assume @p420 (forall @t486 (or (tptp.c_Type_Otypings @t284 @t468 @t485) @t484))) % 0.77/1.07 (assume @p421 (forall @t486 (or (tptp.c_Type_Otypings @t284 @t468 @t487) @t484))) % 0.77/1.07 (assume @p422 (forall (@list @t488 @t357 @t285 @t439) (or (tptp.c_Type_Otyping @t488 @t359 @t489) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t488 @t27 @t285 tptp.tc_Type_Otype) @t357 @t439))))) % 0.77/1.07 (assume @p423 (forall @t241 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t239) @t163) @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t163))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t419 @t163) @t27) @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.77/1.07 (assume @p424 (forall @t339 (= @t337 (tptp.c_List_Oappend (tptp.c_List_Odrop @t392 @t8 @t1) (tptp.c_List_Otake @t392 @t8 @t1) @t1)))) % 0.77/1.07 (assume @p425 (forall (@list @t284 @t468 @t285 @t10) (or (tptp.c_Type_Otypings @t284 @t468 @t492) @t491))) % 0.77/1.07 (assume @p426 (forall (@list @t284 @t171 @t285 @t439 @t10 @t468 @t494) (or (tptp.c_Type_Otypings @t284 @t171 @t497) @t496 @t495 @t493))) % 0.77/1.07 (assume @p427 (forall @t498 (or (tptp.c_Type_Otyping @t284 @t357 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t487 @t285 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t484))) % 0.77/1.07 (assume @p428 (forall @t498 (or (tptp.c_Type_Otyping @t284 @t357 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t485 @t285 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t484))) % 0.77/1.07 (assume @p429 (forall (@list @t284 @t10 @t285 @t468) (or (tptp.c_Type_Otyping @t284 @t300 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t492 @t285 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t491))) % 0.77/1.07 (assume @p430 (forall (@list @t439 @t285 @t284 @t171 @t10 @t468 @t494) (or (= @t439 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t497 @t285 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t496 @t495 @t493))) % 0.77/1.07 (assume @p431 (tptp.c_Type_Otyping @t499 tptp.v_a____ tptp.v_T_H_H____)) % 0.77/1.07 (assume @p432 (tptp.c_Type_Otyping @t499 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t500 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 0.77/1.07 (assume @p433 (tptp.c_Type_Otyping @t499 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t500) tptp.v_a____) @t501)) % 0.77/1.07 (assume @p434 (forall (@list @t284 @t357 @t468 @t285 @t494) (or @t483 @t495 (not (tptp.c_Type_Otyping @t284 @t357 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t494 @t285 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.77/1.07 (assume @p435 (forall @t394 (= (tptp.c_List_Odrop @t27 @t113 @t1) @t113))) % 0.77/1.07 (assume @p436 (forall (@list @t270 @t271 @t16 @t1) (= (tptp.c_List_Ofoldr @t270 @t502 @t16 @t271 @t1) @t16))) % 0.77/1.07 (assume @p437 (forall @t394 (= (tptp.c_List_Orev @t113 @t1) (tptp.c_List_Oappend @t131 @t366 @t1)))) % 0.77/1.07 (assume @p438 (forall (@list @t270 @t16 @t12 @t8 @t271 @t1) (= (tptp.c_List_Ofoldl @t270 @t16 @t503 @t1 @t271) (tptp.c_List_Ofoldl @t270 (tptp.hAPP (tptp.hAPP @t270 @t16) @t12) @t8 @t1 @t271)))) % 0.77/1.07 (assume @p439 (forall @t364 (= (tptp.c_List_Odrop @t27 @t8 @t1) @t8))) % 0.77/1.07 (assume @p440 (= tptp.v_T____ @t504)) % 0.77/1.07 (assume @p441 (forall @t506 (= @t505 @t366))) % 0.77/1.07 (assume @p442 (forall (@list @t8 @t1 @t43 @t77) (or (not (= @t131 @t149)) (= @t8 @t508)))) % 0.77/1.07 (assume @p443 (forall (@list @t488 @t12) (tptp.c_Type_Otyping @t488 @t438 (tptp.hAPP @t488 @t12)))) % 0.77/1.07 (assume @p444 (forall (@list @t12 @t15 @t1 @t95) (= @t510 @t509))) % 0.77/1.07 (assume @p445 (forall (@list @t12 @t8 @t1 @t77) (= (tptp.c_List_Oappend @t113 @t77 @t1) (tptp.c_List_Olist_OCons @t12 @t78 @t1)))) % 0.77/1.07 (assume @p446 (forall @t511 (= @t77 (tptp.c_List_Odrop @t9 @t78 @t1)))) % 0.77/1.07 (assume @p447 (forall @t339 (or (not (= @t207 @t41)) @t363 @t111))) % 0.77/1.07 (assume @p448 (forall (@list @t1 @t130 @t12) (= (tptp.c_List_Olist__update @t41 @t130 @t12 @t1) @t41))) % 0.77/1.07 (assume @p449 (forall (@list @t1 @t10 @t43) (= (tptp.c_List_Olist__update @t41 @t10 @t43 @t1) @t41))) % 0.77/1.07 (assume @p450 (forall (@list @t1 @t10 @t133) (= (tptp.c_List_Olist__update @t41 @t10 @t133 @t1) @t41))) % 0.77/1.07 (assume @p451 (forall (@list @t12 @t15 @t95 @t1) (= @t509 @t510))) % 0.77/1.07 (assume @p452 (forall (@list @t12 @t512 @t95 @t1) (= (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Oappend @t512 @t95 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t12 @t512 @t1) @t95 @t1)))) % 0.77/1.07 (assume @p453 (forall @t398 (not (= @t396 @t41)))) % 0.77/1.07 (assume @p454 (forall (@list @t31 @t513 @t1) (not (= @t514 @t41)))) % 0.77/1.07 (assume @p455 (forall (@list @t42 @t468 @t163) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t42 @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t163 @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t409))) % 0.77/1.07 (assume @p456 (forall @t339 (= (tptp.c_List_Oappend @t207 @t426 @t1) @t8))) % 0.77/1.07 (assume @p457 (forall (@list @t295 @t163 @t357) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t515 @t163)) (tptp.hAPP @t515 @t357))) @t358))) % 0.77/1.07 (assume @p458 (forall (@list @t163 @t295 @t357) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t402 @t295)) @t431)) @t358))) % 0.77/1.07 (assume @p459 (forall (@list @t77 @t1 @t43) (= (tptp.c_List_Orev @t508 @t1) @t149))) % 0.77/1.07 (assume @p460 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ @t27 @t501 tptp.tc_Type_Otype) (tptp.c_Lambda_OdB_OVar @t27) @t501)) % 0.77/1.07 (assume @p461 (forall (@list @t12 @t1 @t43) (= @t516 (tptp.c_List_Oreplicate @t27 @t43 @t1)))) % 0.77/1.07 (assume @p462 (forall @t154 (or (tptp.c_List_Odistinct @t156 @t1) @t219))) % 0.77/1.07 (assume @p463 (forall @t364 (or @t517 @t219))) % 0.77/1.07 (assume @p464 (forall @t364 (or @t218 (not @t517)))) % 0.77/1.07 (assume @p465 (forall @t506 (= @t516 @t41))) % 0.77/1.07 (assume @p466 (forall @t364 (or (not (= @t131 @t41)) @t363))) % 0.77/1.07 (assume @p467 (forall @t443 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t442) @t441)) @t411))) % 0.77/1.07 (assume @p468 (forall @t518 (= (tptp.c_List_Orotate @t48 @t41 @t1) @t41))) % 0.77/1.07 (assume @p469 (forall (@list @t12 @t357 @t1) (not (= (tptp.c_List_Olist_OCons @t12 @t357 @t1) @t357)))) % 0.77/1.07 (assume @p470 (forall (@list @t8 @t12 @t1) (not (= @t8 @t113)))) % 0.77/1.07 (assume @p471 (forall (@list @t12 @t8 @t1 @t43) (= (tptp.c_List_Olist__update @t113 @t27 @t43 @t1) (tptp.c_List_Olist_OCons @t43 @t8 @t1)))) % 0.77/1.07 (assume @p472 (forall @t14 (= (tptp.c_Nat_Osize__class_Osize @t13 @t7) @t9))) % 0.77/1.07 (assume @p473 (forall @t394 (= @t113 @t519))) % 0.77/1.07 (assume @p474 (forall @t506 (= @t366 @t505))) % 0.77/1.07 (assume @p475 (forall @t521 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t430 @t300))) @t520))) % 0.77/1.07 (assume @p476 (forall @t523 (or @t522 @t64 (= @t47 @t27)))) % 0.77/1.07 (assume @p477 (forall (@list @t525 @t295 @t439 @t10 @t357 @t285) (or (not (tptp.c_Type_Otyping @t525 @t295 @t439)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t525 @t10 @t439 tptp.tc_Type_Otype) @t357 @t285)) (tptp.c_Type_Otyping @t525 @t524 @t285)))) % 0.77/1.07 (assume @p478 (forall (@list @t270 @t16 @t8 @t1 @t271) (= @t527 (tptp.c_List_Ofoldr (tptp.c_COMBC @t270 @t1 @t271 @t1) @t526 @t16 @t271 @t1)))) % 0.77/1.07 (assume @p479 (forall @t5 (= @t41 @t528))) % 0.77/1.07 (assume @p480 (forall @t154 (or (tptp.c_List_Odistinct @t393 @t1) @t219))) % 0.77/1.07 (assume @p481 (forall (@list @t10 @t12 @t1) (= (tptp.c_List_Oappend @t529 @t366 @t1) (tptp.c_List_Olist_OCons @t12 @t529 @t1)))) % 0.77/1.07 (assume @p482 (forall @t5 (= @t530 @t41))) % 0.77/1.07 (assume @p483 (forall @t531 (= (tptp.c_List_Orev @t78 @t1) (tptp.c_List_Oappend @t507 @t131 @t1)))) % 0.77/1.07 (assume @p484 (forall (@list @t270 @t16 @t8 @t77 @t271 @t1) (= (tptp.c_List_Ofoldl @t270 @t16 @t532 @t1 @t271) (tptp.c_List_Ofoldl @t270 @t527 @t77 @t1 @t271)))) % 0.77/1.07 (assume @p485 (forall @t533 (or @t218 (not (tptp.c_List_Odistinct @t113 @t1))))) % 0.77/1.07 (assume @p486 (forall (@list @t535 @t534 @t57) (not (= @t536 @t58)))) % 0.77/1.07 (assume @p487 (forall (@list @t8 @t130 @t12 @t1) (or (not (= (tptp.c_List_Olist__update @t8 @t130 @t12 @t1) @t41)) @t363))) % 0.77/1.07 (assume @p488 (forall (@list @t12 @t1 @t8) (or (not (= @t366 @t131)) @t537))) % 0.77/1.07 (assume @p489 (forall (@list @t538 @t8 @t1 @t77) (or @t541 @t540))) % 0.77/1.07 (assume @p490 (forall (@list @t538 @t77 @t1 @t8) (or @t542 @t540))) % 0.77/1.07 (assume @p491 (forall (@list @t538 @t1) (tptp.c_List_Olistsp @t538 @t41 @t1))) % 0.77/1.07 (assume @p492 (forall @t523 (or @t522 @t231))) % 0.77/1.07 (assume @p493 (forall (@list @t77 @t8 @t1 @t95) (or (not (= (tptp.c_List_Oappend @t77 @t8 @t1) (tptp.c_List_Oappend @t95 @t8 @t1))) @t543))) % 0.77/1.07 (assume @p494 (forall @t544 (or (not (= @t78 (tptp.c_List_Oappend @t8 @t95 @t1))) @t543))) % 0.77/1.07 (assume @p495 (forall @t518 (= (tptp.c_List_Otake @t48 @t41 @t1) @t41))) % 0.77/1.07 (assume @p496 (tptp.c_Type_Otyping @t499 @t500 @t504)) % 0.77/1.07 (assume @p497 (forall @t364 (= @t545 @t8))) % 0.77/1.07 (assume @p498 (forall @t506 (= @t12 (tptp.c_List_Oappend @t41 @t12 @t1)))) % 0.77/1.07 (assume @p499 (forall @t364 (= @t8 @t545))) % 0.77/1.07 (assume @p500 (forall (@list @t1 @t77) (= @t546 @t77))) % 0.77/1.07 (assume @p501 (forall @t547 (= @t77 @t546))) % 0.77/1.07 (assume @p502 (forall @t549 (or @t218 @t548))) % 0.77/1.07 (assume @p503 (forall (@list @t77 @t1 @t8) (or (tptp.c_List_Odistinct @t77 @t1) @t548))) % 0.77/1.07 (assume @p504 (forall @t364 (= @t8 @t550))) % 0.77/1.07 (assume @p505 (forall @t547 (= (tptp.c_List_Orev @t507 @t1) @t77))) % 0.77/1.07 (assume @p506 (forall @t364 (= @t550 @t8))) % 0.77/1.07 (assume @p507 (forall @t549 (= @t8 (tptp.c_List_Otake @t9 @t78 @t1)))) % 0.77/1.07 (assume @p508 (forall (@list @t163 @t357 @t130) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t403) @t130) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t440 @t130)) @t552)))) % 0.77/1.07 (assume @p509 (forall @t434 (= (tptp.c_List_Orev @t243 @t1) @t243))) % 0.77/1.07 (assume @p510 (forall (@list @t270 @t8 @t77 @t271 @t16 @t1) (= (tptp.c_List_Ofoldr @t270 @t532 @t16 @t271 @t1) (tptp.c_List_Ofoldr @t270 @t8 (tptp.c_List_Ofoldr @t270 @t77 @t16 @t271 @t1) @t271 @t1)))) % 0.77/1.07 (assume @p511 (forall @t533 (or (not (= @t131 @t366)) @t537))) % 0.77/1.07 (assume @p512 (forall (@list @t284 @t10 @t285) (or (= (tptp.hAPP @t284 @t10) @t285) (not (tptp.c_Type_Otyping @t284 @t300 @t285))))) % 0.77/1.07 (assume @p513 (forall @t518 (= (tptp.c_List_Odrop @t48 @t41 @t1) @t41))) % 0.77/1.07 (assume @p514 (forall @t116 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t422)))) % 0.77/1.07 (assume @p515 (forall (@list @t270 @t553 @t271 @t1 @t555 @t12) (= @t557 @t554))) % 0.77/1.07 (assume @p516 (forall (@list @t16 @t32 @t133 @t555 @t271 @t1) (= @t559 (tptp.hAPP @t558 @t133)))) % 0.77/1.07 (assume @p517 (forall (@list @t270 @t16 @t271 @t1) (= (tptp.c_List_Ofoldl @t270 @t16 @t502 @t1 @t271) @t16))) % 0.77/1.07 (assume @p518 (forall (@list @t284 @t12 @t285 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t284 @t12 @t285 @t1) @t12) @t285))) % 0.77/1.07 (assume @p519 (forall @t566 (or @t565 @t563 (not (tptp.c_Type_Otyping @t284 @t295 @t561)) @t562 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t284 @t10 @t561 tptp.tc_Type_Otype) @t357 @t560)) @t520))) % 0.77/1.07 (assume @p520 (forall @t566 (or @t565 @t563 (not (tptp.c_Type_Otyping @t284 @t295 @t564)) @t562 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t284 @t10 @t564 tptp.tc_Type_Otype) @t357 @t560)) @t520))) % 0.77/1.07 (assume @p521 (forall @t521 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t567)) @t520))) % 0.77/1.07 (assume @p522 (forall @t569 (or @t568 @t363))) % 0.77/1.07 (assume @p523 (forall @t569 (or @t568 @t570))) % 0.77/1.07 (assume @p524 (forall @t531 (or @t571 @t363))) % 0.77/1.07 (assume @p525 (forall @t531 (or @t571 @t570))) % 0.77/1.07 (assume @p526 (forall @t5 (= @t365 @t27))) % 0.77/1.07 (assume @p527 (forall (@list @t8 @t1 @t95) (or (not (= @t8 (tptp.c_List_Otake @t9 @t95 @t1))) (= (tptp.c_List_Oappend @t8 (tptp.c_List_Odrop @t9 @t95 @t1) @t1) @t95)))) % 0.77/1.07 (assume @p528 (forall (@list @t57 @t535 @t534) (not (= @t58 @t536)))) % 0.77/1.07 (assume @p529 (forall @t471 (or @t470 (= @t469 @t163)))) % 0.77/1.07 (assume @p530 (forall @t448 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t447) @t238)) @t411))) % 0.77/1.07 (assume @p531 (forall @t339 (= (tptp.c_Nat_Osize__class_Osize @t337 @t7) @t9))) % 0.77/1.07 (assume @p532 (forall @t86 (= @t41 @t516))) % 0.77/1.07 (assume @p533 (forall (@list @t285 @t439 @t284 @t10 @t468) (or (= @t285 @t439) @t496 @t491))) % 0.77/1.07 (assume @p534 (forall (@list @t48 @t12 @t1 @t130) (= (tptp.c_List_Oappend @t243 @t445 @t1) (tptp.c_List_Oappend @t445 @t243 @t1)))) % 0.77/1.07 (assume @p535 (forall @t573 (or @t572 (= @t376 @t534)))) % 0.77/1.07 (assume @p536 (forall @t573 (or @t572 (= @t377 @t535)))) % 0.77/1.07 (assume @p537 (forall (@list @t48 @t405) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t423)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t405 tptp.tc_Lambda_OdB))))) % 0.77/1.07 (assume @p538 (forall (@list @t1 @t31 @t513) (not (= @t41 @t514)))) % 0.77/1.07 (assume @p539 (forall (@list @t488 @t163 @t357 @t439 @t285) (or (tptp.c_Type_Otyping @t488 @t403 @t439) (not (tptp.c_Type_Otyping @t488 @t357 @t285)) (not (tptp.c_Type_Otyping @t488 @t163 @t489))))) % 0.77/1.07 (assume @p540 (forall @t5 (tptp.c_List_Odistinct @t41 @t1))) % 0.77/1.07 (assume @p541 (forall (@list @t10 @t357) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t300) @t357))))) % 0.77/1.07 (assume @p542 (forall @t364 (= (tptp.c_List_Otake @t27 @t8 @t1) @t41))) % 0.77/1.07 (assume @p543 (forall @t549 (or (not (= @t131 @t507)) @t151))) % 0.77/1.07 (assume @p544 (forall @t394 (= (tptp.c_List_Otake @t27 @t113 @t1) @t41))) % 0.77/1.07 (assume @p545 (forall @t324 (or @t218 (not @t574)))) % 0.77/1.07 (assume @p546 (forall @t339 (or @t574 @t219))) % 0.77/1.07 (assume @p547 (forall @t434 (or (not (= @t243 @t41)) @t111))) % 0.77/1.07 (assume @p548 (forall (@list @t270 @t8 @t16 @t271 @t1) (= @t575 (tptp.c_List_Ofoldl (tptp.c_COMBC @t270 @t271 @t1 @t1) @t16 @t526 @t1 @t271)))) % 0.77/1.07 (assume @p549 (forall (@list @t538 @t8 @t77 @t1) (or @t539 (not @t542) (not @t541)))) % 0.77/1.07 (assume @p550 (forall (@list @t270 @t553 @t577 @t576 @t555 @t1 @t271) (= (tptp.c_Fun_Ocomp @t270 (tptp.c_Fun_Ocomp @t553 @t577 @t576 @t555 @t1) @t555 @t271 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t270 @t553 @t555 @t271 @t576) @t577 @t576 @t271 @t1)))) % 0.77/1.07 (assume @p551 (forall @t434 (= (tptp.c_Nat_Osize__class_Osize @t243 @t7) @t48))) % 0.77/1.07 (assume @p552 (forall (@list @t1 @t48 @t12) (or (not (= @t41 @t243)) @t111))) % 0.77/1.07 (assume @p553 (forall @t364 (or (not (= @t9 @t27)) @t363))) % 0.77/1.07 (assume @p554 (forall @t475 (or (not (= @t41 @t131)) @t363))) % 0.77/1.07 (assume @p555 (forall (@list @t270 @t12 @t8 @t271 @t16 @t1) (= (tptp.c_List_Ofoldr @t270 @t503 @t16 @t271 @t1) (tptp.hAPP @t578 @t575)))) % 0.77/1.07 (assume @p556 (forall @t339 (or (not (= @t337 @t41)) @t363))) % 0.77/1.07 (assume @p557 (forall (@list @t42 @t10 @t220) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t419 @t300) @t220))) @t351))) % 0.77/1.07 (assume @p558 (forall (@list @t8 @t12 @t77 @t1 @t43) (= (tptp.c_List_Olist__update @t446 @t9 @t43 @t1) (tptp.c_List_Oappend @t8 @t149 @t1)))) % 0.77/1.07 (assume @p559 (forall @t531 (or (not (= @t78 @t8)) @t570))) % 0.77/1.07 (assume @p560 (forall @t531 (or (not (= @t8 @t78)) @t570))) % 0.77/1.07 (assume @p561 (forall @t531 (or (not (= @t78 @t77)) @t363))) % 0.77/1.07 (assume @p562 (forall @t511 (or (not (= @t77 @t78)) @t363))) % 0.77/1.07 (assume @p563 (forall @t584 (or @t583 (= @t580 @t579)))) % 0.77/1.07 (assume @p564 (forall @t584 (or @t583 (= @t582 @t581)))) % 0.77/1.07 (assume @p565 (forall (@list @t1 @t12 @t8) (= @t519 @t113))) % 0.77/1.07 (assume @p566 (forall (@list @t450 @t1 @t452 @t456) (or (not (= (tptp.c_List_Oappend @t466 @t465 @t1) @t456)) @t478 @t480 @t479))) % 0.77/1.07 (assume @p567 (forall @t587 (or @t586 (= @t16 @t31)))) % 0.77/1.07 (assume @p568 (forall @t587 (or @t586 (= @t585 @t513)))) % 0.77/1.07 (assume @p569 (forall @t589 (or @t588 @t406))) % 0.77/1.07 (assume @p570 (forall @t589 (or @t588 @t231))) % 0.77/1.07 (assume @p571 (forall @t437 (or @t436 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t357) @t399))) @t435))) % 0.77/1.07 (assume @p572 (forall (@list @t8 @t10 @t12 @t1 @t590 @t333) (or (= (tptp.c_List_Olist__update @t13 @t590 @t333 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t8 @t590 @t333 @t1) @t10 @t12 @t1)) (= @t10 @t590)))) % 0.77/1.07 (assume @p573 (forall @t63 (or (not (= @t58 (tptp.c_Lambda_OdB_OVar @t60))) @t61))) % 0.77/1.07 (assume @p574 (forall (@list @t48 @t12 @t1 @t8) (= (tptp.c_List_Oappend @t243 @t113 @t1) (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Oappend @t243 @t8 @t1) @t1)))) % 0.77/1.07 (assume @p575 (forall (@list @t16 @t32 @t555 @t271 @t1 @t29 @t178 @t576 @t133) (or (not (= @t558 (tptp.c_Fun_Ocomp @t29 @t178 @t576 @t271 @t1))) (= @t559 (tptp.hAPP @t29 (tptp.hAPP @t178 @t133)))))) % 0.77/1.07 (assume @p576 (forall (@list @t270 @t553 @t12 @t593 @t592 @t333 @t271 @t1 @t555 @t576 @t591) (or (not (= @t554 (tptp.hAPP @t593 (tptp.hAPP @t592 @t333)))) (= @t557 (tptp.hAPP (tptp.c_Fun_Ocomp @t593 @t592 @t576 @t1 @t591) @t333))))) % 0.77/1.07 (assume @p577 (forall @t5 (= @t41 @t530))) % 0.77/1.07 (assume @p578 (forall @t364 (= (tptp.c_Nat_Osize__class_Osize @t131 @t7) @t9))) % 0.77/1.07 (assume @p579 (forall @t595 (or @t594 @t151))) % 0.77/1.07 (assume @p580 (forall @t595 (or @t594 @t64))) % 0.77/1.07 (assume @p581 (forall @t5 (= @t528 @t41))) % 0.77/1.07 (assume @p582 (forall (@list @t8 @t10 @t12 @t1 @t43) (= (tptp.c_List_Olist__update @t13 @t10 @t43 @t1) @t429))) % 0.77/1.07 (assume @p583 (forall @t544 (= (tptp.c_List_Oappend @t78 @t95 @t1) (tptp.c_List_Oappend @t8 (tptp.c_List_Oappend @t77 @t95 @t1) @t1)))) % 0.77/1.07 (assume @p584 (forall (@list @t8 @t512 @t171 @t1) (= (tptp.c_List_Oappend @t8 (tptp.c_List_Oappend @t512 @t171 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t8 @t512 @t1) @t171 @t1)))) % 0.77/1.07 (assume @p585 (forall (@list @t95 @t12 @t1 @t77) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t95 @t12 @t1) @t77 @t1) (tptp.c_List_Oappend @t95 (tptp.c_List_Oappend @t12 @t77 @t1) @t1)))) % 0.77/1.07 (assume @p586 (forall (@list @t8 @t12 @t468 @t1) (= (tptp.c_List_Oappend @t8 (tptp.c_List_Oappend @t12 @t468 @t1) @t1) (tptp.c_List_Oappend @t173 @t468 @t1)))) % 0.77/1.07 (assume @p587 (forall (@list @t284 @t10 @t439 @t357 @t285) (or (tptp.c_Type_Otyping @t596 @t567 @t285) @t435))) % 0.77/1.07 (assume @p588 (forall (@list @t468) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP @t597 @t27) @t468 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t468 tptp.tc_Lambda_OdB))))) % 0.77/1.07 (assume @p589 @t598) % 0.77/1.07 (assume @p590 (forall @t601 (or (not (= @t600 @t41)) @t599))) % 0.77/1.07 (assume @p591 (forall (@list @t357 @t295 @t163 @t130) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t431) @t163) @t130) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t413 @t130)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t295) @t163) @t130))))) % 0.77/1.07 (assume @p592 (forall @t602 (= (tptp.c_List_Odrop @t48 @t600 @t1) (tptp.c_List_Omap @t270 (tptp.c_List_Odrop @t48 @t8 @t271) @t271 @t1)))) % 0.77/1.07 (assume @p593 (forall (@list @t130 @t295) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t130)) @t295) @t130) @t295))) % 0.77/1.07 (assume @p594 (forall (@list @t270 @t8 @t1) (or (not (= (tptp.hAPP @t270 @t603) @t603)) (= (tptp.c_List_Omap @t270 @t8 @t1 @t1) @t8)))) % 0.77/1.07 (assume @p595 (forall (@list @t357 @t468 @t10) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t482) @t10) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t567 @t604 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.07 (assume @p596 (forall (@list @t8 @t271 @t270 @t1) (or (tptp.c_List_Odistinct @t8 @t271) (not (tptp.c_List_Odistinct @t600 @t1))))) % 0.77/1.07 (assume @p597 (forall (@list @t270 @t8 @t77 @t271 @t1) (= (tptp.c_List_Omap @t270 @t532 @t271 @t1) (tptp.c_List_Oappend @t600 @t605 @t1)))) % 0.77/1.07 (assume @p598 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t504)) % 0.77/1.07 (assume @p599 (forall (@list @t270 @t8 @t271 @t1 @t77) (or (not (= @t600 @t605)) (= @t606 (tptp.c_Nat_Osize__class_Osize @t77 @t476))))) % 0.77/1.07 (assume @p600 (= tptp.v_n____ tptp.v_i____)) % 0.77/1.07 (assume @p601 (forall (@list @t1 @t270 @t8 @t271) (or (not (= @t41 @t600)) @t599))) % 0.77/1.07 (assume @p602 (forall (@list @t270 @t48 @t12 @t271 @t1) (= (tptp.c_List_Omap @t270 (tptp.c_List_Oreplicate @t48 @t12 @t271) @t271 @t1) (tptp.c_List_Oreplicate @t48 @t578 @t1)))) % 0.77/1.07 (assume @p603 (forall @t601 (= (tptp.c_Nat_Osize__class_Osize @t600 @t7) @t606))) % 0.77/1.07 (assume @p604 (forall (@list @t357 @t468 @t295 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t482) @t295) @t10) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t524 @t608 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.07 (assume @p605 (forall @t602 (= (tptp.c_List_Orotate @t48 @t600 @t1) (tptp.c_List_Omap @t270 (tptp.c_List_Orotate @t48 @t8 @t271) @t271 @t1)))) % 0.77/1.07 (assume @p606 @t609) % 0.77/1.07 (assume @p607 (forall @t601 (= (tptp.c_List_Orev @t600 @t1) (tptp.c_List_Omap @t270 @t526 @t271 @t1)))) % 0.77/1.07 (assume @p608 (forall @t421 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t420) @t418)) @t411))) % 0.77/1.07 (assume @p609 (forall (@list @t270 @t553 @t8 @t1 @t271) (or (not (= (tptp.hAPP @t270 @t610) (tptp.hAPP @t553 @t610))) (= @t272 (tptp.c_List_Omap @t553 @t8 @t1 @t271))))) % 0.77/1.07 (assume @p610 (forall @t602 (= (tptp.c_List_Otake @t48 @t600 @t1) (tptp.c_List_Omap @t270 (tptp.c_List_Otake @t48 @t8 @t271) @t271 @t1)))) % 0.77/1.07 (assume @p611 (forall (@list @t255 @t271 @t555 @t1 @t327 @t611) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t255 @t271 @t555 @t1) @t327) @t611) (tptp.hAPP (tptp.hAPP @t255 @t611) @t327)))) % 0.77/1.07 (assume @p612 (forall (@list @t270 @t271 @t1) (= @t612 @t41))) % 0.77/1.07 (assume @p613 (forall (@list @t270 @t553 @t8 @t555 @t271 @t1) (= (tptp.c_List_Omap @t270 (tptp.c_List_Omap @t553 @t8 @t555 @t271) @t271 @t1) (tptp.c_List_Omap @t556 @t8 @t555 @t1)))) % 0.77/1.07 (assume @p614 @t613) % 0.77/1.07 (assume @p615 (forall (@list @t270 @t12 @t15 @t271 @t1) (= (tptp.c_List_Omap @t270 (tptp.c_List_Olist_OCons @t12 @t15 @t271) @t271 @t1) (tptp.c_List_Olist_OCons @t578 (tptp.c_List_Omap @t270 @t15 @t271 @t1) @t1)))) % 0.77/1.07 (assume @p616 (forall (@list @t270 @t15 @t614 @t271 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t270 @t15) (tptp.c_List_Omap @t270 @t614 @t271 @t1) @t1) (tptp.c_List_Omap @t270 (tptp.c_List_Olist_OCons @t15 @t614 @t271) @t271 @t1)))) % 0.77/1.07 (assume @p617 (forall (@list @t270 @t12 @t8 @t271 @t1) (= (tptp.c_List_Omap @t270 @t503 @t271 @t1) (tptp.c_List_Olist_OCons @t578 @t600 @t1)))) % 0.77/1.07 (assume @p618 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.77/1.07 (assume @p619 (forall (@list @t270 @t553 @t12 @t1 @t271) (or (not (= (tptp.hAPP @t270 @t615) (tptp.hAPP @t553 @t615))) (= (tptp.c_List_Omap @t270 @t12 @t1 @t271) (tptp.c_List_Omap @t553 @t12 @t1 @t271))))) % 0.77/1.07 (assume @p620 (forall (@list @t270 @t553 @t8 @t271 @t1) (or (not (= (tptp.hAPP @t270 @t616) (tptp.hAPP @t553 @t616))) (= @t600 (tptp.c_List_Omap @t553 @t8 @t271 @t1))))) % 0.77/1.07 (assume @p621 (forall (@list @t284 @t10 @t439 @t468 @t494) (or (tptp.c_Type_Otypings @t596 @t604 @t494) @t495))) % 0.77/1.07 (assume @p622 (forall (@list @t357 @t130 @t163) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t552) @t163) @t130) @t357))) % 0.77/1.07 (assume @p623 (forall (@list @t270 @t8 @t130 @t43 @t271 @t1) (= (tptp.c_List_Omap @t270 (tptp.c_List_Olist__update @t8 @t130 @t43 @t271) @t271 @t1) (tptp.c_List_Olist__update @t600 @t130 (tptp.hAPP @t270 @t43) @t1)))) % 0.77/1.07 (assume @p624 (forall (@list @t1 @t270 @t271) (= @t41 @t612))) % 0.77/1.07 (assume @p625 (not @t617)) % 0.77/1.07 (assume @p626 (forall @t621 (or (tptp.class_Orderings_Opreorder @t620) (not (tptp.class_Orderings_Opreorder @t618))))) % 0.77/1.07 (assume @p627 (forall @t621 (or (tptp.class_Orderings_Oorder @t620) (not (tptp.class_Orderings_Oorder @t618))))) % 0.77/1.07 (assume @p628 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.77/1.07 (assume @p629 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.77/1.07 (assume @p630 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.77/1.07 (assume @p631 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.77/1.07 (assume @p632 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.77/1.07 (assume @p633 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.77/1.07 (assume @p634 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.77/1.07 (assume @p635 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.77/1.07 (assume @p636 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.77/1.07 (assume @p637 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.77/1.07 (assume @p638 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.77/1.07 (assume @p639 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.77/1.07 (assume @p640 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.77/1.07 (assume @p641 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.77/1.07 (assume @p642 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.77/1.07 (assume @p643 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.77/1.07 (assume @p644 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.77/1.07 (assume @p645 (tptp.class_Int_Onumber tptp.tc_nat)) % 0.77/1.07 (assume @p646 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.77/1.07 (assume @p647 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.77/1.07 (assume @p648 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p649 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p650 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p651 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p652 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p653 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p654 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p655 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p656 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p657 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p658 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p659 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p660 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p661 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p662 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p663 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p664 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p665 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p666 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p667 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p668 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p669 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p670 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p671 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p672 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p673 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p674 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 0.77/1.07 (assume @p675 (forall (@list @t255 @t327 @t611 @t271 @t1 @t555) (= (tptp.c_COMBB @t255 @t327 @t611 @t271 @t1 @t555) (tptp.hAPP @t255 (tptp.hAPP @t327 @t611))))) % 0.77/1.07 (assume @p676 (forall @t506 (tptp.c_fequal @t12 @t12 @t1))) % 0.77/1.07 (assume @p677 (forall (@list @t623 @t622 @t1) (or (= @t623 @t622) (not (tptp.c_fequal @t623 @t622 @t1))))) % 0.77/1.07 (step @p678 :rule cnf_or_pos :args (@t626)) % 0.77/1.07 (step @p679 :rule reordering :premises (@p678) :args ((or @t617 @t624 @t625 @t627))) % 0.77/1.07 (step @p680 :rule chain_m_resolution :premises (@p679 @p625 @p589 @p606) :args (@t627 (@list true false false) (@list @t617 @t598 @t609))) % 0.77/1.07 (assume-push @p687 @t613) % 0.77/1.07 (step @p682 :rule instantiate :premises (@p614) :args ((@list tptp.v_e____ tptp.v_u____ tptp.v_i____ tptp.v_as____ tptp.v_Ts____ tptp.v_T____))) % 0.77/1.07 (step-pop @p688 :rule scope :premises (@p682)) % 0.77/1.07 (step @p683 :rule process_scope :premises (@p688) :args (@t626)) % 0.77/1.07 (step @p685 :rule implies_elim :premises (@p683)) % 0.77/1.07 (step @p686 false :rule chain_m_resolution :premises (@p685 @p680 @p614) :args (false (@list true false) (@list @t626 @t613))) % 0.77/1.07 ) % 0.77/1.07 % SZS output end Proof % 0.77/1.07 % cvc5 exiting %------------------------------------------------------------------------------