%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 11:24:02 AM UTC 2026 % Result : Unsatisfiable 0.75s 1.05s % Output : Proof 0.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n026.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 04:37:25 UTC 2026 % 0.11/0.37 % CPUTime : % 0.30/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.75/1.05 % SZS status Unsatisfiable % 0.75/1.05 % SZS output start Proof % 0.75/1.09 ( % 0.75/1.09 (declare-sort $$unsorted 0) % 0.75/1.09 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.v_ta____ $$unsorted) % 0.75/1.09 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.75/1.09 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.t_a $$unsorted) % 0.75/1.09 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.75/1.09 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.75/1.09 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.tc_nat $$unsorted) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.75/1.09 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Olength__unique (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.tc_bool $$unsorted) % 0.75/1.09 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.75/1.09 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.75/1.09 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.75/1.09 (define @t1 () (@var "V_n" $$unsorted)) % 0.75/1.09 (define @t2 () (@var "V_m" $$unsorted)) % 0.75/1.09 (define @t3 () (tptp.c_lessequals @t2 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t4 () (not @t3)) % 0.75/1.09 (define @t5 () (tptp.c_Suc @t2)) % 0.75/1.09 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t1 @t5 tptp.tc_nat)) % 0.75/1.09 (define @t7 () (not @t6)) % 0.75/1.09 (define @t8 () (= @t1 @t2)) % 0.75/1.09 (define @t9 () (@list @t1 @t2)) % 0.75/1.09 (define @t10 () (@var "T_a" $$unsorted)) % 0.75/1.09 (define @t11 () (@var "V_c" $$unsorted)) % 0.75/1.09 (define @t12 () (@var "V_b" $$unsorted)) % 0.75/1.09 (define @t13 () (tptp.c_HOL_Oplus__class_Oplus @t10)) % 0.75/1.09 (define @t14 () (tptp.hAPP @t13 @t12)) % 0.75/1.09 (define @t15 () (tptp.hAPP @t14 @t11)) % 0.75/1.09 (define @t16 () (@var "V_a" $$unsorted)) % 0.75/1.09 (define @t17 () (@var "V_d" $$unsorted)) % 0.75/1.09 (define @t18 () (not (tptp.c_lessequals @t11 @t17 @t10))) % 0.75/1.09 (define @t19 () (tptp.hAPP @t14 @t17)) % 0.75/1.09 (define @t20 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t10))) % 0.75/1.09 (define @t21 () (@var "V_y" $$unsorted)) % 0.75/1.09 (define @t22 () (@var "V_x" $$unsorted)) % 0.75/1.09 (define @t23 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 @t10)) % 0.75/1.09 (define @t24 () (not @t23)) % 0.75/1.09 (define @t25 () (@var "V_z" $$unsorted)) % 0.75/1.09 (define @t26 () (not (tptp.c_lessequals @t21 @t25 @t10))) % 0.75/1.09 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t22 @t25 @t10)) % 0.75/1.09 (define @t28 () (not (tptp.class_Orderings_Opreorder @t10))) % 0.75/1.09 (define @t29 () (@list @t10 @t22 @t25 @t21)) % 0.75/1.09 (define @t30 () (tptp.c_lessequals @t22 @t21 @t10)) % 0.75/1.09 (define @t31 () (not @t30)) % 0.75/1.09 (define @t32 () (not (tptp.c_HOL_Oord__class_Oless @t21 @t25 @t10))) % 0.75/1.09 (define @t33 () (tptp.c_lessequals @t22 @t22 @t10)) % 0.75/1.09 (define @t34 () (@list @t10 @t22)) % 0.75/1.09 (define @t35 () (not (tptp.class_Orderings_Oorder @t10))) % 0.75/1.09 (define @t36 () (tptp.c_lessequals @t22 @t22 tptp.tc_nat)) % 0.75/1.09 (define @t37 () (@list @t22)) % 0.75/1.09 (define @t38 () (@var "V_j" $$unsorted)) % 0.75/1.09 (define @t39 () (@var "V_i" $$unsorted)) % 0.75/1.09 (define @t40 () (not (tptp.c_lessequals @t39 @t38 tptp.tc_nat))) % 0.75/1.09 (define @t41 () (@var "V_k" $$unsorted)) % 0.75/1.09 (define @t42 () (@list @t39 @t41 @t38)) % 0.75/1.09 (define @t43 () (@list @t1)) % 0.75/1.09 (define @t44 () (tptp.c_lessequals @t21 @t22 @t10)) % 0.75/1.09 (define @t45 () (not @t44)) % 0.75/1.09 (define @t46 () (not (tptp.c_HOL_Oord__class_Oless @t25 @t21 @t10))) % 0.75/1.09 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t25 @t22 @t10)) % 0.75/1.09 (define @t48 () (@list @t10 @t25 @t22 @t21)) % 0.75/1.09 (define @t49 () (tptp.c_HOL_Oord__class_Oless @t21 @t22 @t10)) % 0.75/1.09 (define @t50 () (not @t49)) % 0.75/1.09 (define @t51 () (not (tptp.c_lessequals @t25 @t21 @t10))) % 0.75/1.09 (define @t52 () (tptp.c_Suc @t1)) % 0.75/1.09 (define @t53 () (tptp.c_lessequals @t1 @t2 tptp.tc_nat)) % 0.75/1.09 (define @t54 () (not @t53)) % 0.75/1.09 (define @t55 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t10)) % 0.75/1.09 (define @t56 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t10)) % 0.75/1.09 (define @t57 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t58 () (@list @t10 @t2 @t1)) % 0.75/1.09 (define @t59 () (not (tptp.c_lessequals @t41 @t2 tptp.tc_nat))) % 0.75/1.09 (define @t60 () (not (tptp.c_lessequals @t41 @t1 tptp.tc_nat))) % 0.75/1.09 (define @t61 () (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t62 () (not @t61)) % 0.75/1.09 (define @t63 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t41 tptp.tc_nat)) % 0.75/1.09 (define @t64 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t41 tptp.tc_nat)) % 0.75/1.09 (define @t65 () (tptp.c_HOL_Oord__class_Oless @t64 @t63 tptp.tc_nat)) % 0.75/1.09 (define @t66 () (@list @t2 @t41 @t1)) % 0.75/1.09 (define @t67 () (@list @t2 @t1 @t41)) % 0.75/1.09 (define @t68 () (tptp.c_lessequals @t2 @t52 tptp.tc_nat)) % 0.75/1.09 (define @t69 () (@list @t2 @t1)) % 0.75/1.09 (define @t70 () (tptp.c_lessequals @t5 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t71 () (not @t70)) % 0.75/1.09 (define @t72 () (tptp.c_Power_Opower__class_Opower @t12 @t52 @t10)) % 0.75/1.09 (define @t73 () (tptp.c_Power_Opower__class_Opower @t16 @t52 @t10)) % 0.75/1.09 (define @t74 () (tptp.c_HOL_Ozero__class_Ozero @t10)) % 0.75/1.09 (define @t75 () (not (tptp.c_lessequals @t74 @t12 @t10))) % 0.75/1.09 (define @t76 () (tptp.c_lessequals @t16 @t12 @t10)) % 0.75/1.09 (define @t77 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t10))) % 0.75/1.09 (define @t78 () (@list @t10 @t16 @t12 @t1)) % 0.75/1.09 (define @t79 () (not @t76)) % 0.75/1.09 (define @t80 () (tptp.hAPP @t13 @t11)) % 0.75/1.09 (define @t81 () (tptp.hAPP @t80 @t12)) % 0.75/1.09 (define @t82 () (tptp.hAPP @t80 @t16)) % 0.75/1.09 (define @t83 () (tptp.c_lessequals @t82 @t81 @t10)) % 0.75/1.09 (define @t84 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t10))) % 0.75/1.09 (define @t85 () (@list @t10 @t11 @t16 @t12)) % 0.75/1.09 (define @t86 () (tptp.hAPP @t13 @t16)) % 0.75/1.09 (define @t87 () (tptp.hAPP @t86 @t11)) % 0.75/1.09 (define @t88 () (tptp.c_lessequals @t87 @t15 @t10)) % 0.75/1.09 (define @t89 () (@list @t10 @t16 @t11 @t12)) % 0.75/1.09 (define @t90 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t10))) % 0.75/1.09 (define @t91 () (@list @t10 @t16 @t12 @t11)) % 0.75/1.09 (define @t92 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t41 tptp.tc_nat))) % 0.75/1.09 (define @t93 () (tptp.c_Suc @t39)) % 0.75/1.09 (define @t94 () (tptp.c_Suc @t22)) % 0.75/1.09 (define @t95 () (tptp.c_HOL_Oord__class_Oless @t22 @t94 tptp.tc_nat)) % 0.75/1.09 (define @t96 () (tptp.c_HOL_Oone__class_Oone @t10)) % 0.75/1.09 (define @t97 () (not (tptp.c_HOL_Oord__class_Oless @t96 @t16 @t10))) % 0.75/1.09 (define @t98 () (@list @t10 @t16 @t1)) % 0.75/1.09 (define @t99 () (@list @t10 @t22 @t21)) % 0.75/1.09 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 tptp.tc_nat)) % 0.75/1.09 (define @t101 () (not @t100)) % 0.75/1.09 (define @t102 () (tptp.c_lessequals @t22 @t21 tptp.tc_nat)) % 0.75/1.09 (define @t103 () (@list @t22 @t21)) % 0.75/1.09 (define @t104 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t12 @t10)) % 0.75/1.09 (define @t105 () (tptp.c_lessequals @t104 @t74 @t10)) % 0.75/1.09 (define @t106 () (@list @t10 @t16 @t12)) % 0.75/1.09 (define @t107 () (= @t22 @t21)) % 0.75/1.09 (define @t108 () (= @t2 @t1)) % 0.75/1.09 (define @t109 () (@var "V_xs" $$unsorted)) % 0.75/1.09 (define @t110 () (tptp.c_List_Oset @t109 @t10)) % 0.75/1.09 (define @t111 () (tptp.c_List_Orev @t109 @t10)) % 0.75/1.09 (define @t112 () (@list @t109 @t10)) % 0.75/1.09 (define @t113 () (@list @t10)) % 0.75/1.09 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) % 0.75/1.09 (define @t115 () (tptp.c_HOL_Oord__class_Oless @t2 @t52 tptp.tc_nat)) % 0.75/1.09 (define @t116 () (not @t115)) % 0.75/1.09 (define @t117 () (@var "V_nat_H" $$unsorted)) % 0.75/1.09 (define @t118 () (@var "V_nat" $$unsorted)) % 0.75/1.09 (define @t119 () (= @t118 @t117)) % 0.75/1.09 (define @t120 () (tptp.c_Suc @t117)) % 0.75/1.09 (define @t121 () (@list @t118 @t117)) % 0.75/1.09 (define @t122 () (@var "V_l" $$unsorted)) % 0.75/1.09 (define @t123 () (tptp.c_HOL_Ominus__class_Ominus @t122 @t2 tptp.tc_nat)) % 0.75/1.09 (define @t124 () (tptp.c_HOL_Ominus__class_Ominus @t122 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t125 () (@list @t122 @t1 @t2)) % 0.75/1.09 (define @t126 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t127 () (@var "V_N" $$unsorted)) % 0.75/1.09 (define @t128 () (not (tptp.c_lessequals @t1 @t127 tptp.tc_nat))) % 0.75/1.09 (define @t129 () (tptp.c_lessequals @t74 @t16 @t10)) % 0.75/1.09 (define @t130 () (not @t129)) % 0.75/1.09 (define @t131 () (tptp.c_Power_Opower__class_Opower @t16 @t1 @t10)) % 0.75/1.09 (define @t132 () (tptp.c_Power_Opower__class_Opower @t16 @t127 @t10)) % 0.75/1.09 (define @t133 () (@list @t10 @t16 @t127 @t1)) % 0.75/1.09 (define @t134 () (tptp.c_lessequals @t52 @t2 tptp.tc_nat)) % 0.75/1.09 (define @t135 () (not @t134)) % 0.75/1.09 (define @t136 () (not (tptp.c_lessequals @t96 @t16 @t10))) % 0.75/1.09 (define @t137 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.75/1.09 (define @t138 () (= @t57 @t137)) % 0.75/1.09 (define @t139 () (not @t138)) % 0.75/1.09 (define @t140 () (tptp.c_lessequals @t56 @t55 @t10)) % 0.75/1.09 (define @t141 () (not (tptp.class_OrderedGroup_Ogroup__add @t10))) % 0.75/1.09 (define @t142 () (@var "V_us" $$unsorted)) % 0.75/1.09 (define @t143 () (@var "V_vs" $$unsorted)) % 0.75/1.09 (define @t144 () (@var "V_r" $$unsorted)) % 0.75/1.09 (define @t145 () (tptp.c_List_Oappend @t109 @t22 @t10)) % 0.75/1.09 (define @t146 () (@var "V_ys" $$unsorted)) % 0.75/1.09 (define @t147 () (tptp.c_ListOrder_Ostep1 @t144 @t146 @t109 @t10)) % 0.75/1.09 (define @t148 () (not @t147)) % 0.75/1.09 (define @t149 () (@list @t10 @t16 @t11 @t12 @t17)) % 0.75/1.09 (define @t150 () (tptp.c_in @t22 @t110 @t10)) % 0.75/1.09 (define @t151 () (not @t150)) % 0.75/1.09 (define @t152 () (@var "V_f" $$unsorted)) % 0.75/1.09 (define @t153 () (tptp.hAPP @t152 @t22)) % 0.75/1.09 (define @t154 () (tptp.c_List_Olist_Olist__size @t152 @t109 @t10)) % 0.75/1.09 (define @t155 () (@list @t21 @t152 @t109 @t10 @t22)) % 0.75/1.09 (define @t156 () (@list @t10 @t1)) % 0.75/1.09 (define @t157 () (not (tptp.class_Orderings_Olinorder @t10))) % 0.75/1.09 (define @t158 () (tptp.c_HOL_Oord__class_Oless @t22 @t22 @t10)) % 0.75/1.09 (define @t159 () (not @t158)) % 0.75/1.09 (define @t160 () (@list @t10 @t21 @t22)) % 0.75/1.09 (define @t161 () (@list @t10 @t16 @t1 @t127)) % 0.75/1.09 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t5 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t163 () (tptp.c_HOL_Oord__class_Oless @t137 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t164 () (not @t163)) % 0.75/1.09 (define @t165 () (tptp.c_Suc @t137)) % 0.75/1.09 (define @t166 () (@var "V_x_H" $$unsorted)) % 0.75/1.09 (define @t167 () (@var "V_y_H" $$unsorted)) % 0.75/1.09 (define @t168 () (tptp.c_lessequals @t167 @t166 @t10)) % 0.75/1.09 (define @t169 () (tptp.c_HOL_Ominus__class_Ominus @t166 @t167 @t10)) % 0.75/1.09 (define @t170 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 @t10)) % 0.75/1.09 (define @t171 () (not (= @t170 @t169))) % 0.75/1.09 (define @t172 () (@list @t10 @t22 @t21 @t166 @t167)) % 0.75/1.09 (define @t173 () (tptp.c_HOL_Oord__class_Oless @t166 @t167 @t10)) % 0.75/1.09 (define @t174 () (@list @t1 @t39)) % 0.75/1.09 (define @t175 () (not (tptp.c_lessequals @t12 @t16 @t10))) % 0.75/1.09 (define @t176 () (= @t16 @t12)) % 0.75/1.09 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t12 @t16 @t10)) % 0.75/1.09 (define @t178 () (@list @t10 @t12 @t16)) % 0.75/1.09 (define @t179 () (tptp.c_HOL_Oord__class_Oless @t16 @t12 @t10)) % 0.75/1.09 (define @t180 () (tptp.c_lessequals @t52 @t5 tptp.tc_nat)) % 0.75/1.09 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t74 @t16 @t10)) % 0.75/1.09 (define @t182 () (not @t181)) % 0.75/1.09 (define @t183 () (not (tptp.c_HOL_Oord__class_Oless @t16 @t96 @t10))) % 0.75/1.09 (define @t184 () (tptp.c_List_Olist_OCons @t22 @t109 @t10)) % 0.75/1.09 (define @t185 () (not (tptp.c_List_Olinorder__class_Osorted @t184 @t10))) % 0.75/1.09 (define @t186 () (@var "V_xa" $$unsorted)) % 0.75/1.09 (define @t187 () (tptp.c_lessequals @t22 @t186 @t10)) % 0.75/1.09 (define @t188 () (tptp.c_List_Oappend @t109 @t146 @t10)) % 0.75/1.09 (define @t189 () (not (tptp.c_List_Olinorder__class_Osorted @t188 @t10))) % 0.75/1.09 (define @t190 () (tptp.c_List_Olength__unique @t109 @t10)) % 0.75/1.09 (define @t191 () (tptp.c_List_Olength__unique @t184 @t10)) % 0.75/1.09 (define @t192 () (@list @t22 @t109 @t10)) % 0.75/1.09 (define @t193 () (tptp.c_HOL_Oord__class_Oless @t104 @t74 @t10)) % 0.75/1.09 (define @t194 () (not @t179)) % 0.75/1.09 (define @t195 () (tptp.hAPP @t86 @t12)) % 0.75/1.09 (define @t196 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t10))) % 0.75/1.09 (define @t197 () (tptp.hAPP @t13 @t74)) % 0.75/1.09 (define @t198 () (= (tptp.hAPP @t197 @t74) @t74)) % 0.75/1.09 (define @t199 () (not (tptp.c_lessequals @t74 @t74 @t10))) % 0.75/1.09 (define @t200 () (tptp.hAPP @t86 @t16)) % 0.75/1.09 (define @t201 () (tptp.c_lessequals @t74 @t200 @t10)) % 0.75/1.09 (define @t202 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t10))) % 0.75/1.09 (define @t203 () (@list @t10 @t16)) % 0.75/1.09 (define @t204 () (not (tptp.c_lessequals @t12 @t11 @t10))) % 0.75/1.09 (define @t205 () (tptp.c_lessequals @t12 @t87 @t10)) % 0.75/1.09 (define @t206 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t10))) % 0.75/1.09 (define @t207 () (@list @t10 @t12 @t16 @t11)) % 0.75/1.09 (define @t208 () (not (tptp.c_lessequals @t74 @t22 @t10))) % 0.75/1.09 (define @t209 () (not (tptp.c_lessequals @t74 @t21 @t10))) % 0.75/1.09 (define @t210 () (tptp.hAPP @t13 @t22)) % 0.75/1.09 (define @t211 () (tptp.hAPP @t210 @t21)) % 0.75/1.09 (define @t212 () (not (= @t211 @t74))) % 0.75/1.09 (define @t213 () (tptp.c_lessequals @t16 @t74 @t10)) % 0.75/1.09 (define @t214 () (not @t213)) % 0.75/1.09 (define @t215 () (tptp.c_lessequals @t200 @t74 @t10)) % 0.75/1.09 (define @t216 () (not (tptp.c_lessequals @t12 @t74 @t10))) % 0.75/1.09 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t87 @t19 @t10)) % 0.75/1.09 (define @t218 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t10))) % 0.75/1.09 (define @t219 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t17 @t10))) % 0.75/1.09 (define @t220 () (@var "V_w" $$unsorted)) % 0.75/1.09 (define @t221 () (tptp.c_Int_Onumber__class_Onumber__of @t220 @t10)) % 0.75/1.09 (define @t222 () (@var "V_v" $$unsorted)) % 0.75/1.09 (define @t223 () (tptp.c_Int_Onumber__class_Onumber__of @t222 @t10)) % 0.75/1.09 (define @t224 () (tptp.c_lessequals @t223 @t221 @t10)) % 0.75/1.09 (define @t225 () (tptp.c_HOL_Oord__class_Oless @t221 @t223 @t10)) % 0.75/1.09 (define @t226 () (not (tptp.class_Int_Onumber @t10))) % 0.75/1.09 (define @t227 () (= @t21 @t22)) % 0.75/1.09 (define @t228 () (@list @t10 @t2)) % 0.75/1.09 (define @t229 () (= @t1 @t137)) % 0.75/1.09 (define @t230 () (@var "V_P" $$unsorted)) % 0.75/1.09 (define @t231 () (not (tptp.c_HOL_Oord__class_Oless @t16 @t12 tptp.tc_nat))) % 0.75/1.09 (define @t232 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t2 tptp.tc_nat)) % 0.75/1.09 (define @t233 () (tptp.c_HOL_Oord__class_Oless @t137 @t232 tptp.tc_nat)) % 0.75/1.09 (define @t234 () (tptp.c_Power_Opower__class_Opower @t12 @t1 @t10)) % 0.75/1.09 (define @t235 () (@list @t10 @t16 @t1 @t12)) % 0.75/1.09 (define @t236 () (not (tptp.class_Power_Opower @t10))) % 0.75/1.09 (define @t237 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t10))) % 0.75/1.09 (define @t238 () (tptp.c_Power_Opower__class_Opower @t16 @t2 @t10)) % 0.75/1.09 (define @t239 () (@var "T_b" $$unsorted)) % 0.75/1.09 (define @t240 () (@var "V_g" $$unsorted)) % 0.75/1.09 (define @t241 () (tptp.c_List_Omap @t152 @t109 @t239 @t10)) % 0.75/1.09 (define @t242 () (tptp.tc_List_Olist @t10)) % 0.75/1.09 (define @t243 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t186 @t242))) % 0.75/1.09 (define @t244 () (tptp.c_List_Olist_OCons @t22 @t186 @t10)) % 0.75/1.09 (define @t245 () (tptp.c_Nat_Osize__class_Osize @t244 @t242)) % 0.75/1.09 (define @t246 () (@list @t22 @t186 @t10)) % 0.75/1.09 (define @t247 () (tptp.c_List_Olist_OCons @t22 @t146 @t10)) % 0.75/1.09 (define @t248 () (tptp.c_Power_Opower__class_Opower @t16 @t137 @t10)) % 0.75/1.09 (define @t249 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t10))) % 0.75/1.09 (define @t250 () (tptp.c_List_Olist_ONil @t10)) % 0.75/1.09 (define @t251 () (= @t109 @t250)) % 0.75/1.09 (define @t252 () (tptp.c_List_Ohd @t109 @t10)) % 0.75/1.09 (define @t253 () (@list @t109 @t146 @t10)) % 0.75/1.09 (define @t254 () (tptp.c_List_Oappend @t250 @t146 @t10)) % 0.75/1.09 (define @t255 () (@list @t10 @t146)) % 0.75/1.09 (define @t256 () (tptp.c_List_Otake @t1 @t109 @t10)) % 0.75/1.09 (define @t257 () (@list @t22 @t109 @t10 @t1)) % 0.75/1.09 (define @t258 () (tptp.c_List_Odrop @t1 @t109 @t10)) % 0.75/1.09 (define @t259 () (tptp.c_List_Onth @t109 @t1 @t10)) % 0.75/1.09 (define @t260 () (@list @t1 @t22 @t109 @t10)) % 0.75/1.09 (define @t261 () (tptp.c_List_OtakeWhile @t230 @t109 @t10)) % 0.75/1.09 (define @t262 () (not (tptp.c_in @t22 (tptp.c_List_Oset @t261 @t10) @t10))) % 0.75/1.09 (define @t263 () (tptp.hBOOL (tptp.hAPP @t230 @t22))) % 0.75/1.09 (define @t264 () (@list @t230 @t22 @t109 @t10)) % 0.75/1.09 (define @t265 () (@var "V_A" $$unsorted)) % 0.75/1.09 (define @t266 () (tptp.c_List_Olistsp @t265 @t109 @t10)) % 0.75/1.09 (define @t267 () (not @t266)) % 0.75/1.09 (define @t268 () (tptp.c_List_Oreplicate @t1 @t21 @t10)) % 0.75/1.09 (define @t269 () (tptp.c_Nat_Osize__class_Osize @t109 @t242)) % 0.75/1.09 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t1 @t269 tptp.tc_nat)) % 0.75/1.09 (define @t271 () (not @t270)) % 0.75/1.09 (define @t272 () (tptp.c_List_Olinorder__class_Osorted @t109 @t10)) % 0.75/1.09 (define @t273 () (not @t272)) % 0.75/1.09 (define @t274 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t269 tptp.tc_nat))) % 0.75/1.09 (define @t275 () (tptp.c_List_Onth @t109 @t38 @t10)) % 0.75/1.09 (define @t276 () (tptp.c_List_Onth @t109 @t39 @t10)) % 0.75/1.09 (define @t277 () (tptp.c_lessequals @t276 @t275 @t10)) % 0.75/1.09 (define @t278 () (@list @t10 @t109 @t39 @t38)) % 0.75/1.09 (define @t279 () (tptp.c_lessequals @t269 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t280 () (not @t279)) % 0.75/1.09 (define @t281 () (@list @t1 @t109 @t10)) % 0.75/1.09 (define @t282 () (@var "V_zs" $$unsorted)) % 0.75/1.09 (define @t283 () (tptp.c_List_Olist_OCons @t21 @t282 @t10)) % 0.75/1.09 (define @t284 () (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t22 @t283 @t10) @t10)) % 0.75/1.09 (define @t285 () (not @t284)) % 0.75/1.09 (define @t286 () (@list @t10 @t22 @t21 @t282)) % 0.75/1.09 (define @t287 () (tptp.c_List_Olinorder__class_Osorted @t283 @t10)) % 0.75/1.09 (define @t288 () (tptp.c_List_Olist__update @t109 @t39 @t21 @t10)) % 0.75/1.09 (define @t289 () (tptp.c_List_Oreplicate @t1 @t22 @t10)) % 0.75/1.09 (define @t290 () (@list @t1 @t22 @t10)) % 0.75/1.09 (define @t291 () (tptp.c_List_Olist__update @t109 @t39 @t22 @t10)) % 0.75/1.09 (define @t292 () (= @t291 @t109)) % 0.75/1.09 (define @t293 () (@list @t109 @t39 @t22 @t10)) % 0.75/1.09 (define @t294 () (tptp.c_Nat_Osize__class_Osize @t261 @t242)) % 0.75/1.09 (define @t295 () (@list @t230 @t109 @t10)) % 0.75/1.09 (define @t296 () (tptp.c_List_Obutlast @t109 @t10)) % 0.75/1.09 (define @t297 () (not (tptp.c_in @t22 (tptp.c_List_Oset @t296 @t10) @t10))) % 0.75/1.09 (define @t298 () (@var "V_I" $$unsorted)) % 0.75/1.09 (define @t299 () (not (tptp.c_in @t22 (tptp.c_List_Oset (tptp.c_List_Osublist @t109 @t298 @t10) @t10) @t10))) % 0.75/1.09 (define @t300 () (tptp.c_List_Oreplicate @t41 @t22 @t10)) % 0.75/1.09 (define @t301 () (tptp.hAPP @t152 @t21)) % 0.75/1.09 (define @t302 () (tptp.c_lessequals @t153 @t301 @t239)) % 0.75/1.09 (define @t303 () (tptp.c_List_Olist_OCons @t21 @t146 @t10)) % 0.75/1.09 (define @t304 () (tptp.c_List_Olinorder__class_Oinsort__key @t152 @t22 @t303 @t10 @t239)) % 0.75/1.09 (define @t305 () (not (tptp.class_Orderings_Olinorder @t239))) % 0.75/1.09 (define @t306 () (@list @t239 @t152 @t22 @t21 @t146 @t10)) % 0.75/1.09 (define @t307 () (tptp.c_lessequals @t64 @t63 tptp.tc_nat)) % 0.75/1.09 (define @t308 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t22 @t10)) % 0.75/1.09 (define @t309 () (not (tptp.class_OrderedGroup_Oab__group__add @t10))) % 0.75/1.09 (define @t310 () (tptp.hAPP @t13 @t96)) % 0.75/1.09 (define @t311 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t10))) % 0.75/1.09 (define @t312 () (tptp.c_HOL_Oord__class_Oless @t22 @t22 tptp.tc_nat)) % 0.75/1.09 (define @t313 () (@list @t10 @t2 @t1 @t16)) % 0.75/1.09 (define @t314 () (not (tptp.c_HOL_Oord__class_Oless @t96 @t12 @t10))) % 0.75/1.09 (define @t315 () (tptp.c_Power_Opower__class_Opower @t12 @t21 @t10)) % 0.75/1.09 (define @t316 () (tptp.c_Power_Opower__class_Opower @t12 @t22 @t10)) % 0.75/1.09 (define @t317 () (tptp.c_lessequals @t316 @t315 @t10)) % 0.75/1.09 (define @t318 () (@list @t10 @t22 @t21 @t12)) % 0.75/1.09 (define @t319 () (@list @t10 @t12 @t22 @t21)) % 0.75/1.09 (define @t320 () (tptp.c_HOL_Oord__class_Oless @t5 @t52 tptp.tc_nat)) % 0.75/1.09 (define @t321 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t10))) % 0.75/1.09 (define @t322 () (= @t308 @t74)) % 0.75/1.09 (define @t323 () (not (tptp.class_Int_Onumber__ring @t10))) % 0.75/1.09 (define @t324 () (not (tptp.class_Ring__and__Field_Oidom @t10))) % 0.75/1.09 (define @t325 () (not (= @t104 @t74))) % 0.75/1.09 (define @t326 () (@list @t2)) % 0.75/1.09 (define @t327 () (@list @t117)) % 0.75/1.09 (define @t328 () (not (tptp.c_ListOrder_Ostep1 @t144 @t303 @t184 @t10))) % 0.75/1.09 (define @t329 () (tptp.hAPP @t144 @t21)) % 0.75/1.09 (define @t330 () (tptp.hBOOL (tptp.hAPP @t329 @t22))) % 0.75/1.09 (define @t331 () (@list @t144 @t146 @t109 @t10 @t21 @t22)) % 0.75/1.09 (define @t332 () (= @t109 @t146)) % 0.75/1.09 (define @t333 () (tptp.c_HOL_Oord__class_Oless @t16 @t74 @t10)) % 0.75/1.09 (define @t334 () (not @t333)) % 0.75/1.09 (define @t335 () (tptp.c_HOL_Oord__class_Oless @t195 @t74 @t10)) % 0.75/1.09 (define @t336 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t74 @t10))) % 0.75/1.09 (define @t337 () (tptp.c_HOL_Oord__class_Oless @t12 @t87 @t10)) % 0.75/1.09 (define @t338 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t11 @t10))) % 0.75/1.09 (define @t339 () (not (tptp.c_HOL_Oord__class_Oless @t74 @t12 @t10))) % 0.75/1.09 (define @t340 () (tptp.c_HOL_Oord__class_Oless @t74 @t195 @t10)) % 0.75/1.09 (define @t341 () (tptp.c_HOL_Oord__class_Oless @t131 @t234 @t10)) % 0.75/1.09 (define @t342 () (@var "V_xb" $$unsorted)) % 0.75/1.09 (define @t343 () (tptp.c_in @t22 (tptp.c_List_Oset (tptp.c_List_Oappend @t186 (tptp.c_List_Olist_OCons @t22 @t342 @t10) @t10) @t10) @t10)) % 0.75/1.09 (define @t344 () (@list @t22 @t186 @t342 @t10)) % 0.75/1.09 (define @t345 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t127 tptp.tc_nat))) % 0.75/1.09 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t316 @t315 @t10)) % 0.75/1.09 (define @t347 () (tptp.c_List_Olist_OCons @t22 @t250 @t10)) % 0.75/1.09 (define @t348 () (tptp.c_List_Oappend @t109 @t347 @t10)) % 0.75/1.09 (define @t349 () (tptp.c_List_Olist_OCons @t21 @t250 @t10)) % 0.75/1.09 (define @t350 () (tptp.c_List_Oappend @t146 @t349 @t10)) % 0.75/1.09 (define @t351 () (not (tptp.c_ListOrder_Ostep1 @t144 @t350 @t348 @t10))) % 0.75/1.09 (define @t352 () (= @t146 @t109)) % 0.75/1.09 (define @t353 () (@var "V_ss" $$unsorted)) % 0.75/1.09 (define @t354 () (@var "V_rs" $$unsorted)) % 0.75/1.09 (define @t355 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t144 @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t356 () (= @t258 @t250)) % 0.75/1.09 (define @t357 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 0.75/1.09 (define @t358 () (tptp.c_Nat_Osize__class_Osize @t357 @t242)) % 0.75/1.09 (define @t359 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 0.75/1.09 (define @t360 () (tptp.c_Nat_Osize__class_Osize @t359 @t242)) % 0.75/1.09 (define @t361 () (tptp.c_lessequals @t360 @t358 tptp.tc_nat)) % 0.75/1.09 (define @t362 () (= (tptp.c_List_Otake @t358 @t359 @t10) @t357)) % 0.75/1.09 (define @t363 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 0.75/1.09 (define @t364 () (tptp.c_List_Oappend @t357 @t363 @t10)) % 0.75/1.09 (define @t365 () (@var "V_xs_092_060_094isub_0622" $$unsorted)) % 0.75/1.09 (define @t366 () (tptp.c_List_Oappend @t359 @t365 @t10)) % 0.75/1.09 (define @t367 () (not (= @t366 @t364))) % 0.75/1.09 (define @t368 () (@list @t359 @t365 @t10 @t357 @t363)) % 0.75/1.09 (define @t369 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t269 tptp.tc_nat)) % 0.75/1.09 (define @t370 () (@list @t1 @t109 @t146 @t10)) % 0.75/1.09 (define @t371 () (not @t361)) % 0.75/1.09 (define @t372 () (= @t359 (tptp.c_List_Otake @t360 @t357 @t10))) % 0.75/1.09 (define @t373 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t360 @t357 @t10) @t363 @t10)) % 0.75/1.09 (define @t374 () (tptp.c_List_Odrop @t358 @t359 @t10)) % 0.75/1.09 (define @t375 () (tptp.c_List_Oappend @t374 @t365 @t10)) % 0.75/1.09 (define @t376 () (tptp.c_List_Obutlast @t146 @t10)) % 0.75/1.09 (define @t377 () (tptp.c_List_Obutlast @t188 @t10)) % 0.75/1.09 (define @t378 () (tptp.c_in @t22 (tptp.c_List_Oset @t377 @t10) @t10)) % 0.75/1.09 (define @t379 () (@list @t22 @t109 @t146 @t10)) % 0.75/1.09 (define @t380 () (@var "V_as" $$unsorted)) % 0.75/1.09 (define @t381 () (tptp.c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1 @t230 @t1 @t109 @t10)) % 0.75/1.09 (define @t382 () (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_List_Onth @t109 @t381 @t10))))) % 0.75/1.09 (define @t383 () (tptp.hBOOL (tptp.hAPP @t230 @t259))) % 0.75/1.09 (define @t384 () (= @t261 @t256)) % 0.75/1.09 (define @t385 () (@list @t230 @t109 @t10 @t1)) % 0.75/1.09 (define @t386 () (tptp.c_List_Olast @t109 @t10)) % 0.75/1.09 (define @t387 () (tptp.c_List_Ohd @t258 @t10)) % 0.75/1.09 (define @t388 () (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Omap @t152 (tptp.c_List_Olinorder__class_Oinsort__key @t152 @t22 @t109 @t239 @t10) @t239 @t10) @t10)) % 0.75/1.09 (define @t389 () (tptp.c_List_Olinorder__class_Osorted @t241 @t10)) % 0.75/1.09 (define @t390 () (tptp.c_List_Oappend @t109 @t250 @t10)) % 0.75/1.09 (define @t391 () (tptp.hAPP @t13 @t87)) % 0.75/1.09 (define @t392 () (tptp.hAPP @t80 @t17)) % 0.75/1.09 (define @t393 () (tptp.hAPP @t13 @t195)) % 0.75/1.09 (define @t394 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t144)))) % 0.75/1.09 (define @t395 () (tptp.c_Lambda_OdB_OAbs @t144)) % 0.75/1.09 (define @t396 () (@list @t144)) % 0.75/1.09 (define @t397 () (tptp.c_List_Odrop @t1 @t296 @t10)) % 0.75/1.09 (define @t398 () (tptp.c_List_Obutlast @t258 @t10)) % 0.75/1.09 (define @t399 () (= @t12 @t11)) % 0.75/1.09 (define @t400 () (tptp.hAPP @t14 @t16)) % 0.75/1.09 (define @t401 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t10))) % 0.75/1.09 (define @t402 () (not (= @t195 @t87))) % 0.75/1.09 (define @t403 () (tptp.hAPP @t210 @t25)) % 0.75/1.09 (define @t404 () (@list @t10 @t22 @t21 @t25)) % 0.75/1.09 (define @t405 () (@list @t146 @t109 @t10)) % 0.75/1.09 (define @t406 () (@var "V_s" $$unsorted)) % 0.75/1.09 (define @t407 () (tptp.c_Lambda_OdB_OVar @t22)) % 0.75/1.09 (define @t408 () (@var "V_Q" $$unsorted)) % 0.75/1.09 (define @t409 () (@var "V_R" $$unsorted)) % 0.75/1.09 (define @t410 () (@var "T_c" $$unsorted)) % 0.75/1.09 (define @t411 () (@var "V_S" $$unsorted)) % 0.75/1.09 (define @t412 () (tptp.c_in @t22 @t411 @t10)) % 0.75/1.09 (define @t413 () (tptp.hBOOL (tptp.hAPP @t411 @t22))) % 0.75/1.09 (define @t414 () (= @t39 @t38)) % 0.75/1.09 (define @t415 () (= (tptp.c_List_Onth @t291 @t38 @t10) @t275)) % 0.75/1.09 (define @t416 () (@list @t109 @t39 @t22 @t10 @t38)) % 0.75/1.09 (define @t417 () (@var "V_u" $$unsorted)) % 0.75/1.09 (define @t418 () (tptp.hAPP @t13 @t21)) % 0.75/1.09 (define @t419 () (tptp.hAPP @t210 (tptp.hAPP @t418 @t25))) % 0.75/1.09 (define @t420 () (tptp.hAPP @t86 @t15)) % 0.75/1.09 (define @t421 () (tptp.hAPP @t393 @t11)) % 0.75/1.09 (define @t422 () (= @t421 @t420)) % 0.75/1.09 (define @t423 () (tptp.hAPP @t86 @t392)) % 0.75/1.09 (define @t424 () (@list @t10 @t16 @t11 @t17)) % 0.75/1.09 (define @t425 () (not (tptp.c_HOL_Oord__class_Oless @t39 @t1 tptp.tc_nat))) % 0.75/1.09 (define @t426 () (@list @t1 @t152 @t109 @t239 @t10)) % 0.75/1.09 (define @t427 () (@list @t10 @t1 @t109)) % 0.75/1.09 (define @t428 () (tptp.c_Lambda_OdB_OVar @t39)) % 0.75/1.09 (define @t429 () (tptp.c_List_Olistsp @t265 @t188 @t10)) % 0.75/1.09 (define @t430 () (not @t429)) % 0.75/1.09 (define @t431 () (tptp.c_List_Olistsp @t265 @t146 @t10)) % 0.75/1.09 (define @t432 () (@var "V_dB" $$unsorted)) % 0.75/1.09 (define @t433 () (@var "V_f3" $$unsorted)) % 0.75/1.09 (define @t434 () (tptp.hAPP @t433 @t432)) % 0.75/1.09 (define @t435 () (tptp.c_Lambda_OdB_OAbs @t432)) % 0.75/1.09 (define @t436 () (@var "V_f2" $$unsorted)) % 0.75/1.09 (define @t437 () (@var "V_f1" $$unsorted)) % 0.75/1.09 (define @t438 () (@list @t437 @t436 @t433 @t432 @t10)) % 0.75/1.09 (define @t439 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t144) @t406)))) % 0.75/1.09 (define @t440 () (@var "V_t" $$unsorted)) % 0.75/1.09 (define @t441 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t406) @t440)) % 0.75/1.09 (define @t442 () (tptp.hAPP tptp.c_Lambda_Osubst @t144)) % 0.75/1.09 (define @t443 () (= (tptp.c_List_Olist__update @t109 @t39 @t276 @t10) @t109)) % 0.75/1.09 (define @t444 () (not (tptp.c_HOL_Oord__class_Oless @t39 @t269 tptp.tc_nat))) % 0.75/1.09 (define @t445 () (@list @t39 @t109 @t10)) % 0.75/1.09 (define @t446 () (@list @t152 @t109 @t239 @t10)) % 0.75/1.09 (define @t447 () (not (= (tptp.c_List_Oreplicate @t2 @t22 @t10) @t268))) % 0.75/1.09 (define @t448 () (@list @t2 @t22 @t10 @t1 @t21)) % 0.75/1.09 (define @t449 () (= @t146 @t282)) % 0.75/1.09 (define @t450 () (tptp.c_List_Odrop @t93 @t109 @t10)) % 0.75/1.09 (define @t451 () (tptp.c_List_Otake @t39 @t109 @t10)) % 0.75/1.09 (define @t452 () (tptp.c_List_Olist_OCons @t276 @t450 @t10)) % 0.75/1.09 (define @t453 () (@list @t109 @t39 @t10)) % 0.75/1.09 (define @t454 () (@var "V_ts" $$unsorted)) % 0.75/1.09 (define @t455 () (tptp.hAPP tptp.c_Lambda_Osubst @t440)) % 0.75/1.09 (define @t456 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t440 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t457 () (tptp.c_Lambda_OdB_OVar @t1)) % 0.75/1.09 (define @t458 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t457 @t354 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t459 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t458) @t222)))) % 0.75/1.09 (define @t460 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t1 @t354 @t222)) % 0.75/1.09 (define @t461 () (tptp.c_HOL_Oord__class_Oless @t381 @t269 tptp.tc_nat)) % 0.75/1.09 (define @t462 () (tptp.c_List_Odrop @t39 @t109 @t10)) % 0.75/1.09 (define @t463 () (tptp.c_HOL_Ominus__class_Ominus @t269 @t39 tptp.tc_nat)) % 0.75/1.09 (define @t464 () (tptp.c_HOL_Oord__class_Oless @t381 @t1 tptp.tc_nat)) % 0.75/1.09 (define @t465 () (= (tptp.c_List_Oappend @t359 @t373 @t10) @t364)) % 0.75/1.09 (define @t466 () (not @t372)) % 0.75/1.09 (define @t467 () (not @t362)) % 0.75/1.09 (define @t468 () (tptp.c_List_Olist__update @t188 @t1 @t22 @t10)) % 0.75/1.09 (define @t469 () (@list @t109 @t146 @t10 @t1 @t22)) % 0.75/1.09 (define @t470 () (tptp.c_List_Onth @t188 @t1 @t10)) % 0.75/1.09 (define @t471 () (@list @t109 @t146 @t10 @t1)) % 0.75/1.09 (define @t472 () (tptp.c_List_Olist__update @t109 @t1 @t22 @t10)) % 0.75/1.09 (define @t473 () (tptp.c_HOL_Oord__class_Oless @t137 @t269 tptp.tc_nat)) % 0.75/1.09 (define @t474 () (@list @t109 @t10 @t22)) % 0.75/1.09 (define @t475 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t406) @t440)))) % 0.75/1.09 (define @t476 () (tptp.c_Lambda_OdB_OAbs @t406)) % 0.75/1.09 (define @t477 () (@list @t406 @t440)) % 0.75/1.09 (define @t478 () (tptp.c_List_Orev @t146 @t10)) % 0.75/1.09 (define @t479 () (tptp.c_HOL_Oord__class_Oless @t74 @t200 @t10)) % 0.75/1.09 (define @t480 () (= @t16 @t74)) % 0.75/1.09 (define @t481 () (not (= @t131 @t74))) % 0.75/1.09 (define @t482 () (not (tptp.class_Ring__and__Field_Omult__zero @t10))) % 0.75/1.09 (define @t483 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t10))) % 0.75/1.09 (define @t484 () (= (tptp.hAPP @t197 @t16) @t16)) % 0.75/1.09 (define @t485 () (= (tptp.hAPP @t86 @t74) @t16)) % 0.75/1.09 (define @t486 () (not (tptp.class_OrderedGroup_Omonoid__add @t10))) % 0.75/1.09 (define @t487 () (tptp.c_List_Oreplicate @t137 @t22 @t10)) % 0.75/1.09 (define @t488 () (tptp.c_Int_Onumber__class_Onumber__of @t222 tptp.tc_nat)) % 0.75/1.09 (define @t489 () (not (= @t488 @t137))) % 0.75/1.09 (define @t490 () (@list @t222 @t22 @t109 @t10)) % 0.75/1.09 (define @t491 () (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Oappend @t186 @t282 @t10) @t10)) % 0.75/1.09 (define @t492 () (tptp.c_List_Oappend @t244 @t282 @t10)) % 0.75/1.09 (define @t493 () (tptp.c_List_Olist_OCons @t22 @t109 @t239)) % 0.75/1.09 (define @t494 () (@var "V_xs1" $$unsorted)) % 0.75/1.09 (define @t495 () (tptp.c_List_OtakeWhile @t230 @t184 @t10)) % 0.75/1.09 (define @t496 () (tptp.c_Nat_Osize__class_Osize @t250 @t242)) % 0.75/1.09 (define @t497 () (@list @t109 @t22 @t10)) % 0.75/1.09 (define @t498 () (tptp.c_List_Oappend @t478 @t349 @t10)) % 0.75/1.09 (define @t499 () (tptp.c_List_Oreplicate @t39 @t22 @t10)) % 0.75/1.09 (define @t500 () (tptp.c_List_Oappend @t250 @t250 @t10)) % 0.75/1.09 (define @t501 () (tptp.c_List_Olist_ONil @t239)) % 0.75/1.09 (define @t502 () (= @t109 @t501)) % 0.75/1.09 (define @t503 () (tptp.c_List_Orev @t250 @t10)) % 0.75/1.09 (define @t504 () (= @t146 @t250)) % 0.75/1.09 (define @t505 () (@list @t10 @t109)) % 0.75/1.09 (define @t506 () (not (= @t188 @t250))) % 0.75/1.09 (define @t507 () (not (= @t250 @t188))) % 0.75/1.09 (define @t508 () (@list @t10 @t109 @t146)) % 0.75/1.09 (define @t509 () (@list @t1 @t10)) % 0.75/1.09 (define @t510 () (@list @t146 @t10)) % 0.75/1.09 (define @t511 () (@list @t22 @t10)) % 0.75/1.09 (define @t512 () (tptp.c_List_Omap @t152 @t501 @t239 @t10)) % 0.75/1.09 (define @t513 () (tptp.c_List_Olistsum @t109 @t10)) % 0.75/1.09 (define @t514 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t440)) % 0.75/1.09 (define @t515 () (tptp.hAPP @t514 @t417)) % 0.75/1.09 (define @t516 () (@var "V_dB_H" $$unsorted)) % 0.75/1.09 (define @t517 () (tptp.c_Lambda_OdB_OAbs @t516)) % 0.75/1.09 (define @t518 () (@var "V_dB2" $$unsorted)) % 0.75/1.09 (define @t519 () (@var "V_dB1" $$unsorted)) % 0.75/1.09 (define @t520 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t519) @t518)) % 0.75/1.09 (define @t521 () (@var "V_xc" $$unsorted)) % 0.75/1.09 (define @t522 () (tptp.hAPP (tptp.hAPP @t436 @t519) @t518)) % 0.75/1.09 (define @t523 () (@list @t437 @t436 @t433 @t519 @t518 @t10)) % 0.75/1.09 (define @t524 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t417)) % 0.75/1.09 (define @t525 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t406)) % 0.75/1.09 (define @t526 () (@list @t144 @t406 @t353)) % 0.75/1.09 (define @t527 () (tptp.c_List_Oappend @t109 @t146 @t239)) % 0.75/1.09 (define @t528 () (tptp.c_Lambda_OdB_OVar @t118)) % 0.75/1.09 (define @t529 () (@var "V_xd" $$unsorted)) % 0.75/1.09 (define @t530 () (tptp.hAPP @t437 @t118)) % 0.75/1.09 (define @t531 () (@list @t109 @t146 @t10 @t282)) % 0.75/1.09 (define @t532 () (tptp.c_List_Oappend @t109 @t247 @t10)) % 0.75/1.09 (define @t533 () (tptp.c_List_Orev @t111 @t10)) % 0.75/1.09 (define @t534 () (@list @t109 @t10 @t146)) % 0.75/1.09 (define @t535 () (tptp.tc_List_Olist @t239)) % 0.75/1.09 (define @t536 () (tptp.c_Nat_Osize__class_Osize @t109 @t535)) % 0.75/1.09 (define @t537 () (tptp.c_HOL_Oord__class_Oless @t200 @t74 @t10)) % 0.75/1.09 (define @t538 () (not @t537)) % 0.75/1.09 (define @t539 () (not (tptp.class_Ring__and__Field_Oordered__idom @t10))) % 0.75/1.09 (define @t540 () (tptp.c_List_Omap @t152 @t146 @t239 @t10)) % 0.75/1.09 (define @t541 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t476) @t440)) % 0.75/1.09 (define @t542 () (@list @t10 @t22 @t109)) % 0.75/1.09 (define @t543 () (tptp.c_HOL_Oord__class_Oless @t56 @t55 @t10)) % 0.75/1.09 (define @t544 () (tptp.c_HOL_Oord__class_Oless @t74 @t55 @t10)) % 0.75/1.09 (define @t545 () (tptp.c_Lambda_OdB_OVar @t38)) % 0.75/1.09 (define @t546 () (tptp.c_HOL_Oord__class_Oless @t87 @t15 @t10)) % 0.75/1.09 (define @t547 () (tptp.c_HOL_Oord__class_Oless @t82 @t81 @t10)) % 0.75/1.09 (define @t548 () (@var "V_T" $$unsorted)) % 0.75/1.09 (define @t549 () (@var "V_e" $$unsorted)) % 0.75/1.09 (define @t550 () (@var "V_t_H" $$unsorted)) % 0.75/1.09 (define @t551 () (@var "V_i_H" $$unsorted)) % 0.75/1.09 (define @t552 () (not @t177)) % 0.75/1.09 (define @t553 () (@list @t437 @t436 @t433 @t118 @t10)) % 0.75/1.09 (define @t554 () (@var "V_env" $$unsorted)) % 0.75/1.09 (define @t555 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t440)))) % 0.75/1.09 (define @t556 () (tptp.hAPP tptp.c_Lambda_Olift @t440)) % 0.75/1.09 (define @t557 () (tptp.hAPP @t556 @t39)) % 0.75/1.09 (define @t558 () (@list @t440 @t39)) % 0.75/1.09 (define @t559 () (tptp.hAPP @t556 @t41)) % 0.75/1.09 (define @t560 () (tptp.hAPP tptp.c_Lambda_Olift @t406)) % 0.75/1.09 (define @t561 () (tptp.c_in @t137 @t265 tptp.tc_nat)) % 0.75/1.09 (define @t562 () (tptp.c_List_Osublist @t347 @t265 @t10)) % 0.75/1.09 (define @t563 () (@list @t22 @t10 @t265)) % 0.75/1.09 (define @t564 () (= (tptp.c_Power_Opower__class_Opower @t74 @t1 @t10) @t74)) % 0.75/1.09 (define @t565 () (@var "V_fa" $$unsorted)) % 0.75/1.09 (define @t566 () (not (= @t348 @t350))) % 0.75/1.09 (define @t567 () (@list @t109 @t22 @t10 @t146 @t21)) % 0.75/1.09 (define @t568 () (tptp.c_List_Oappend @t250 @t184 @t10)) % 0.75/1.09 (define @t569 () (= @t109 @t347)) % 0.75/1.09 (define @t570 () (tptp.c_List_Orev @t347 @t10)) % 0.75/1.09 (define @t571 () (@list @t118)) % 0.75/1.09 (define @t572 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t406 @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t573 () (not (= @t572 @t395))) % 0.75/1.09 (define @t574 () (@list @t406 @t353 @t144)) % 0.75/1.09 (define @t575 () (= @t144 @t406)) % 0.75/1.09 (define @t576 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t395 @t354 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t476 @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.75/1.09 (define @t577 () (@list @t144 @t354 @t406 @t353)) % 0.75/1.09 (define @t578 () (= @t354 @t353)) % 0.75/1.09 (define @t579 () (not (= @t395 @t572))) % 0.75/1.09 (define @t580 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t581 () (= @t454 @t580)) % 0.75/1.09 (define @t582 () (tptp.c_List_Olist_OCons @t406 @t580 tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t583 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t144 @t406 @t440 @t454)) % 0.75/1.09 (define @t584 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t144) @t406)) % 0.75/1.09 (define @t585 () (not (= @t584 @t456))) % 0.75/1.09 (define @t586 () (@list @t144 @t406 @t440 @t454)) % 0.75/1.09 (define @t587 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t428 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t588 () (@var "V_U" $$unsorted)) % 0.75/1.09 (define @t589 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t457 @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t590 () (= @t353 @t580)) % 0.75/1.09 (define @t591 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t395 @t580 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t592 () (tptp.c_List_Oappend @t22 @t582 tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t593 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift tptp.v_ta____) @t137)) % 0.75/1.09 (define @t594 () (tptp.c_Lambda_OdB_OVar @t137)) % 0.75/1.09 (define @t595 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t594 (tptp.c_List_Olist_OCons @t593 @t580 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t596 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.75/1.09 (define @t597 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t596 @t354 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t589))) % 0.75/1.09 (define @t598 () (@list @t2 @t354 @t1 @t353)) % 0.75/1.09 (define @t599 () (@var "V_list_H" $$unsorted)) % 0.75/1.09 (define @t600 () (@var "V_list" $$unsorted)) % 0.75/1.09 (define @t601 () (@var "V_a_H" $$unsorted)) % 0.75/1.09 (define @t602 () (tptp.c_List_Olist_OCons @t601 @t599 @t10)) % 0.75/1.09 (define @t603 () (not (= (tptp.c_List_Olist_OCons @t16 @t600 @t10) @t602))) % 0.75/1.09 (define @t604 () (@list @t16 @t600 @t10 @t601 @t599)) % 0.75/1.09 (define @t605 () (@var "V_dB1_H" $$unsorted)) % 0.75/1.09 (define @t606 () (@var "V_dB2_H" $$unsorted)) % 0.75/1.09 (define @t607 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t605) @t606)) % 0.75/1.09 (define @t608 () (not (= @t520 @t607))) % 0.75/1.09 (define @t609 () (@list @t519 @t518 @t605 @t606)) % 0.75/1.09 (define @t610 () (not (= @t596 @t572))) % 0.75/1.09 (define @t611 () (@list @t2 @t406 @t353)) % 0.75/1.09 (define @t612 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t594) @t593)) % 0.75/1.09 (define @t613 () (= @t595 @t612)) % 0.75/1.09 (define @t614 () (not @t613)) % 0.75/1.09 (define @t615 () (@var "T_1" $$unsorted)) % 0.75/1.09 (define @t616 () (@var "T_2" $$unsorted)) % 0.75/1.09 (define @t617 () (tptp.tc_fun @t616 @t615)) % 0.75/1.09 (define @t618 () (@list @t616 @t615)) % 0.75/1.09 (define @t619 () (@var "V_Y" $$unsorted)) % 0.75/1.09 (define @t620 () (@var "V_X" $$unsorted)) % 0.75/1.09 (define @t621 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t612 @t580 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.75/1.09 (define @t622 () (= @t595 @t621)) % 0.75/1.09 (define @t623 () (not @t622)) % 0.75/1.09 (define @t624 () (= @t612 @t621)) % 0.75/1.09 (define @t625 () (not @t624)) % 0.75/1.09 (define @t626 () (and @t614 @t624)) % 0.75/1.09 (assume @p1 (forall @t9 (or @t8 @t7 @t4))) % 0.75/1.09 (assume @p2 (forall (@list @t10 @t16 @t12 @t17 @t11) (or @t20 (tptp.c_lessequals @t16 @t19 @t10) @t18 (not (tptp.c_lessequals @t16 @t15 @t10))))) % 0.75/1.09 (assume @p3 (forall @t29 (or @t28 @t27 @t26 @t24))) % 0.75/1.09 (assume @p4 (forall @t29 (or @t28 @t27 @t32 @t31))) % 0.75/1.09 (assume @p5 (forall @t34 (or @t28 @t33))) % 0.75/1.09 (assume @p6 (forall @t34 (or @t35 @t33))) % 0.75/1.09 (assume @p7 (forall @t37 @t36)) % 0.75/1.09 (assume @p8 (forall @t42 (or (tptp.c_lessequals @t39 @t41 tptp.tc_nat) (not (tptp.c_lessequals @t38 @t41 tptp.tc_nat)) @t40))) % 0.75/1.09 (assume @p9 (forall @t43 (tptp.c_lessequals @t1 @t1 tptp.tc_nat))) % 0.75/1.09 (assume @p10 (forall @t29 (or @t28 (tptp.c_lessequals @t22 @t25 @t10) @t26 @t31))) % 0.75/1.09 (assume @p11 (forall @t48 (or @t35 @t47 @t46 @t45))) % 0.75/1.09 (assume @p12 (forall @t48 (or @t35 @t47 @t51 @t50))) % 0.75/1.09 (assume @p13 (forall @t48 (or @t35 (tptp.c_lessequals @t25 @t22 @t10) @t51 @t45))) % 0.75/1.09 (assume @p14 (forall @t43 (not (= @t1 @t52)))) % 0.75/1.09 (assume @p15 (forall @t43 (not (= @t52 @t1)))) % 0.75/1.09 (assume @p16 (forall @t58 (or (not (tptp.class_Ring__and__Field_Oring__1 @t10)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t57 @t10) (tptp.c_HOL_Ominus__class_Ominus @t56 @t55 @t10)) @t54))) % 0.75/1.09 (assume @p17 (forall @t66 (or @t65 @t62 @t60 @t59))) % 0.75/1.09 (assume @p18 (forall @t67 (or @t61 (not @t65) @t60 @t59))) % 0.75/1.09 (assume @p19 (forall @t43 (not (tptp.c_lessequals @t52 @t1 tptp.tc_nat)))) % 0.75/1.09 (assume @p20 (forall @t69 (or @t68 @t4))) % 0.75/1.09 (assume @p21 (forall @t69 (or @t3 @t71))) % 0.75/1.09 (assume @p22 (forall @t78 (or @t77 @t76 @t75 (not (tptp.c_lessequals @t73 @t72 @t10))))) % 0.75/1.09 (assume @p23 (forall @t85 (or @t84 @t83 @t79))) % 0.75/1.09 (assume @p24 (forall @t89 (or @t84 @t88 @t79))) % 0.75/1.09 (assume @p25 (forall @t91 (or @t90 @t76 (not @t83)))) % 0.75/1.09 (assume @p26 (forall @t85 (or @t90 @t83 @t79))) % 0.75/1.09 (assume @p27 (forall @t91 (or @t90 @t76 (not @t88)))) % 0.75/1.09 (assume @p28 (forall @t89 (or @t90 @t88 @t79))) % 0.75/1.09 (assume @p29 (forall @t42 (or (tptp.c_HOL_Oord__class_Oless @t93 @t41 tptp.tc_nat) @t92 (not (tptp.c_HOL_Oord__class_Oless @t39 @t38 tptp.tc_nat))))) % 0.75/1.09 (assume @p30 (forall @t37 @t95)) % 0.75/1.09 (assume @p31 (forall @t43 (tptp.c_HOL_Oord__class_Oless @t1 @t52 tptp.tc_nat))) % 0.75/1.09 (assume @p32 (forall @t98 (or @t77 (tptp.c_HOL_Oord__class_Oless @t96 @t73 @t10) @t97))) % 0.75/1.09 (assume @p33 (forall @t99 (or @t28 @t30 @t24))) % 0.75/1.09 (assume @p34 (forall @t99 (or @t35 @t30 @t24))) % 0.75/1.09 (assume @p35 (forall @t69 (or @t3 @t62))) % 0.75/1.09 (assume @p36 (forall @t103 (or @t102 @t101))) % 0.75/1.09 (assume @p37 (forall @t106 (or @t20 @t105 @t79))) % 0.75/1.09 (assume @p38 (forall @t106 (or @t20 @t76 (not @t105)))) % 0.75/1.09 (assume @p39 (forall @t99 (or @t35 @t107 @t31 @t45))) % 0.75/1.09 (assume @p40 (forall @t99 (or @t35 @t107 @t45 @t31))) % 0.75/1.09 (assume @p41 (forall @t69 (or @t108 @t54 @t4))) % 0.75/1.09 (assume @p42 (forall @t112 (= (tptp.c_List_Oset @t111 @t10) @t110))) % 0.75/1.09 (assume @p43 (forall @t113 (or @t77 (not (tptp.c_lessequals @t96 @t74 @t10))))) % 0.75/1.09 (assume @p44 (forall @t99 (or @t28 @t23 @t44 @t31))) % 0.75/1.09 (assume @p45 (forall (@list @t38 @t1 @t41) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t38 @t1 tptp.tc_nat) @t41 tptp.tc_nat) @t92))) % 0.75/1.09 (assume @p46 (forall @t113 (or @t77 (tptp.c_lessequals @t74 @t96 @t10)))) % 0.75/1.09 (assume @p47 (forall @t9 (or @t8 @t7 @t114))) % 0.75/1.09 (assume @p48 (forall @t69 (or @t108 @t7 @t114))) % 0.75/1.09 (assume @p49 (forall @t69 (or @t108 @t61 @t116))) % 0.75/1.09 (assume @p50 (forall @t69 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t52 tptp.tc_nat) @t57))) % 0.75/1.09 (assume @p51 (forall @t121 (or (not (= (tptp.c_Suc @t118) @t120)) @t119))) % 0.75/1.09 (assume @p52 (forall @t103 (or (not (= @t94 (tptp.c_Suc @t21))) @t107))) % 0.75/1.09 (assume @p53 (forall @t125 (or (tptp.c_HOL_Oord__class_Oless @t124 @t123 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t2 @t122 tptp.tc_nat)) @t62))) % 0.75/1.09 (assume @p54 (forall @t69 (or (= @t126 (tptp.c_Suc @t57)) @t54))) % 0.75/1.09 (assume @p55 (forall @t133 (or @t77 (tptp.c_lessequals @t132 @t131 @t10) (not (tptp.c_lessequals @t16 @t96 @t10)) @t130 @t128))) % 0.75/1.09 (assume @p56 (forall @t9 (or @t114 @t135))) % 0.75/1.09 (assume @p57 (forall @t9 (or @t134 (not @t114)))) % 0.75/1.09 (assume @p58 (forall @t69 (or @t61 @t71))) % 0.75/1.09 (assume @p59 (forall @t69 (or @t70 @t62))) % 0.75/1.09 (assume @p60 (forall @t98 (or @t77 (tptp.c_lessequals @t96 @t131 @t10) @t136))) % 0.75/1.09 (assume @p61 (forall @t69 (or @t138 @t4))) % 0.75/1.09 (assume @p62 (forall @t69 (or @t139 @t3))) % 0.75/1.09 (assume @p63 (forall @t58 (or @t77 @t3 (not @t140)))) % 0.75/1.09 (assume @p64 (forall @t58 (or @t77 @t140 @t4))) % 0.75/1.09 (assume @p65 (forall @t106 (or @t141 (= (tptp.hAPP (tptp.hAPP @t13 @t104) @t12) @t16)))) % 0.75/1.09 (assume @p66 (forall (@list @t144 @t22 @t143 @t10 @t142) (or (tptp.c_ListOrder_Ostep1 @t144 (tptp.c_List_Oappend @t22 @t143 @t10) (tptp.c_List_Oappend @t22 @t142 @t10) @t10) (not (tptp.c_ListOrder_Ostep1 @t144 @t143 @t142 @t10))))) % 0.75/1.09 (assume @p67 (forall (@list @t144 @t146 @t109 @t10 @t22) (or @t148 (tptp.c_ListOrder_Ostep1 @t144 (tptp.c_List_Oappend @t146 @t22 @t10) @t145 @t10)))) % 0.75/1.09 (assume @p68 (forall @t149 (or @t84 (tptp.c_lessequals @t87 @t19 @t10) @t18 @t79))) % 0.75/1.09 (assume @p69 (forall @t155 (or (tptp.c_lessequals @t21 @t154 tptp.tc_nat) (not (tptp.c_lessequals @t21 @t153 tptp.tc_nat)) @t151))) % 0.75/1.09 (assume @p70 (forall @t69 (or @t115 @t4))) % 0.75/1.09 (assume @p71 (forall @t69 (or @t3 @t116))) % 0.75/1.09 (assume @p72 (forall @t37 (or (not @t36) @t95))) % 0.75/1.09 (assume @p73 (forall @t69 (tptp.c_HOL_Oord__class_Oless @t57 @t5 tptp.tc_nat))) % 0.75/1.09 (assume @p74 (forall @t156 (or (not (tptp.class_OrderedGroup_Omonoid__mult @t10)) (= (tptp.c_Power_Opower__class_Opower @t96 @t1 @t10) @t96)))) % 0.75/1.09 (assume @p75 (forall @t99 (or @t157 @t23 @t44))) % 0.75/1.09 (assume @p76 (forall @t34 (or @t157 (not @t33) @t159))) % 0.75/1.09 (assume @p77 (forall @t34 (or @t157 @t158 @t33))) % 0.75/1.09 (assume @p78 (forall @t99 (or @t157 @t24 @t45))) % 0.75/1.09 (assume @p79 (forall @t160 (or @t157 @t44 @t23))) % 0.75/1.09 (assume @p80 (forall @t99 (or @t157 @t31 @t50))) % 0.75/1.09 (assume @p81 (forall @t160 (or @t157 @t49 @t30))) % 0.75/1.09 (assume @p82 (forall @t160 (or @t28 @t45 @t24))) % 0.75/1.09 (assume @p83 (forall @t161 (or @t77 (tptp.c_lessequals @t131 @t132 @t10) @t136 @t128))) % 0.75/1.09 (assume @p84 (forall @t125 (or (tptp.c_lessequals @t124 @t123 tptp.tc_nat) @t4))) % 0.75/1.09 (assume @p85 (forall (@list @t2 @t122 @t1) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t2 @t122 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t1 @t122 tptp.tc_nat) tptp.tc_nat) @t4))) % 0.75/1.09 (assume @p86 (forall @t69 (or @t61 (not @t162)))) % 0.75/1.09 (assume @p87 (forall @t69 (or @t115 @t62))) % 0.75/1.09 (assume @p88 (forall @t43 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t1 @t165 tptp.tc_nat)) @t1) @t164))) % 0.75/1.09 (assume @p89 (forall @t172 (or @t20 @t171 @t168 @t45))) % 0.75/1.09 (assume @p90 (forall @t172 (or @t20 @t171 @t44 (not @t168)))) % 0.75/1.09 (assume @p91 (forall @t172 (or @t20 @t171 @t173 @t24))) % 0.75/1.09 (assume @p92 (forall @t172 (or @t20 @t171 @t23 (not @t173)))) % 0.75/1.09 (assume @p93 (forall @t174 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t1 @t93 tptp.tc_nat) @t1 tptp.tc_nat) @t164))) % 0.75/1.09 (assume @p94 (forall @t178 (or @t35 @t177 @t176 @t175))) % 0.75/1.09 (assume @p95 (forall @t178 (or @t35 @t177 @t175 @t176))) % 0.75/1.09 (assume @p96 (forall @t69 (or @t61 @t108 @t4))) % 0.75/1.09 (assume @p97 (forall @t69 (or @t108 @t61 @t4))) % 0.75/1.09 (assume @p98 (forall @t99 (or @t35 @t107 @t23 @t31))) % 0.75/1.09 (assume @p99 (forall @t99 (or @t35 @t23 @t107 @t31))) % 0.75/1.09 (assume @p100 (forall @t106 (or @t35 @t179 @t176 @t79))) % 0.75/1.09 (assume @p101 (forall @t106 (or @t35 @t179 @t79 @t176))) % 0.75/1.09 (assume @p102 (forall @t99 (or @t157 @t107 @t31 @t23))) % 0.75/1.09 (assume @p103 (forall @t99 (or @t157 @t107 @t23 @t31))) % 0.75/1.09 (assume @p104 (forall @t9 (or @t53 (not @t180)))) % 0.75/1.09 (assume @p105 (forall @t9 (or @t180 @t54))) % 0.75/1.09 (assume @p106 (forall @t9 (or @t53 @t3))) % 0.75/1.09 (assume @p107 (forall @t160 (or @t157 @t44 @t30))) % 0.75/1.09 (assume @p108 (forall @t98 (or @t77 (tptp.c_HOL_Oord__class_Oless @t73 @t96 @t10) @t183 @t182))) % 0.75/1.09 (assume @p109 (forall (@list @t10 @t22 @t186 @t109) (or @t157 @t187 (not (tptp.c_in @t186 @t110 @t10)) @t185))) % 0.75/1.09 (assume @p110 (forall (@list @t10 @t22 @t186 @t146 @t109) (or @t157 @t187 (not (tptp.c_in @t186 (tptp.c_List_Oset @t146 @t10) @t10)) @t151 @t189))) % 0.75/1.09 (assume @p111 (forall @t192 (or (= @t191 (tptp.c_Suc @t190)) @t150))) % 0.75/1.09 (assume @p112 (forall @t113 (or @t77 (not (tptp.c_HOL_Oord__class_Oless @t96 @t74 @t10))))) % 0.75/1.09 (assume @p113 (forall @t106 (or @t20 @t179 (not @t193)))) % 0.75/1.09 (assume @p114 (forall @t106 (or @t20 @t193 @t194))) % 0.75/1.09 (assume @p115 (forall @t113 (or @t77 (tptp.c_HOL_Oord__class_Oless @t74 @t96 @t10)))) % 0.75/1.09 (assume @p116 (forall @t106 (or @t196 (tptp.c_lessequals @t74 @t195 @t10) @t75 @t130))) % 0.75/1.09 (assume @p117 (forall @t113 (or @t196 @t199 @t199 @t198))) % 0.75/1.09 (assume @p118 (forall @t203 (or @t202 @t201 @t130))) % 0.75/1.09 (assume @p119 (forall @t203 (or @t202 @t129 (not @t201)))) % 0.75/1.09 (assume @p120 (forall @t207 (or @t90 @t206 @t205 @t204 @t130))) % 0.75/1.09 (assume @p121 (forall @t207 (or @t90 @t206 @t205 @t175 (not (tptp.c_lessequals @t74 @t11 @t10))))) % 0.75/1.09 (assume @p122 (forall @t99 (or @t196 @t212 @t209 @t208 (= @t21 @t74)))) % 0.75/1.09 (assume @p123 (forall @t99 (or @t196 @t212 @t209 @t208 (= @t22 @t74)))) % 0.75/1.09 (assume @p124 (forall @t203 (or @t202 @t215 @t214))) % 0.75/1.09 (assume @p125 (forall @t203 (or @t202 @t213 (not @t215)))) % 0.75/1.09 (assume @p126 (forall @t106 (or @t196 (tptp.c_lessequals @t195 @t74 @t10) @t216 @t214))) % 0.75/1.09 (assume @p127 (forall @t149 (or @t218 @t217 @t18 @t194))) % 0.75/1.09 (assume @p128 (forall @t149 (or @t218 @t217 @t219 @t79))) % 0.75/1.09 (assume @p129 (forall @t203 (or @t77 (tptp.c_HOL_Oord__class_Oless @t16 (tptp.hAPP @t86 @t96) @t10)))) % 0.75/1.09 (assume @p130 (forall (@list @t10 @t220 @t222) (or @t157 @t226 (not @t225) (not @t224)))) % 0.75/1.09 (assume @p131 (forall (@list @t10 @t222 @t220) (or @t157 @t226 @t224 @t225))) % 0.75/1.09 (assume @p132 (forall (@list @t21 @t109 @t10 @t22) (or (tptp.c_in @t21 @t110 @t10) @t227 (not (tptp.c_in @t21 (tptp.c_List_Oset @t184 @t10) @t10))))) % 0.75/1.09 (assume @p133 (forall @t228 (or @t77 (tptp.c_lessequals @t74 @t56 @t10)))) % 0.75/1.09 (assume @p134 (forall @t156 (or @t77 (tptp.c_lessequals @t74 @t55 @t10)))) % 0.75/1.09 (assume @p135 (forall @t37 (tptp.c_HOL_Oord__class_Oless @t137 @t94 tptp.tc_nat))) % 0.75/1.09 (assume @p136 (forall @t43 (tptp.c_HOL_Oord__class_Oless @t137 @t52 tptp.tc_nat))) % 0.75/1.09 (assume @p137 (forall @t43 (or @t229 (not (tptp.c_HOL_Oord__class_Oless @t1 @t165 tptp.tc_nat))))) % 0.75/1.09 (assume @p138 (tptp.c_HOL_Oord__class_Oless @t137 @t165 tptp.tc_nat)) % 0.75/1.09 (assume @p139 (forall (@list @t230 @t16 @t12) (or (tptp.hBOOL (tptp.hAPP @t230 @t137)) @t231 (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_HOL_Ominus__class_Ominus @t16 @t12 tptp.tc_nat))))))) % 0.75/1.09 (assume @p140 (forall @t69 (or @t61 (not @t233)))) % 0.75/1.09 (assume @p141 (forall @t9 (or @t233 @t62))) % 0.75/1.09 (assume @p142 (forall @t69 (or (tptp.c_HOL_Oord__class_Oless @t57 @t2 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t137 @t2 tptp.tc_nat)) @t164))) % 0.75/1.09 (assume @p143 (forall @t235 (or @t77 (tptp.c_lessequals @t131 @t234 @t10) @t130 @t79))) % 0.75/1.09 (assume @p144 (forall @t98 (or @t77 (tptp.c_lessequals @t74 @t131 @t10) @t130))) % 0.75/1.09 (assume @p145 (forall @t156 (or @t237 @t236 (= (tptp.c_Power_Opower__class_Opower @t74 @t52 @t10) @t74)))) % 0.75/1.09 (assume @p146 (forall (@list @t10 @t16 @t2 @t1) (or @t77 (not (= @t238 @t131)) @t97 @t108))) % 0.75/1.09 (assume @p147 (forall (@list @t152 @t109 @t239 @t10 @t240 @t22) (or (not (= @t241 (tptp.c_List_Omap @t240 @t109 @t239 @t10))) (= @t153 (tptp.hAPP @t240 @t22)) (not (tptp.c_in @t22 (tptp.c_List_Oset @t109 @t239) @t239))))) % 0.75/1.09 (assume @p148 (forall @t246 (= @t245 @t243))) % 0.75/1.09 (assume @p149 (forall (@list @t186 @t10 @t22) (= @t243 @t245))) % 0.75/1.09 (assume @p150 (forall (@list @t22 @t146 @t10) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t247 @t242) (tptp.c_Nat_Osize__class_Osize @t146 @t242) tptp.tc_nat)))) % 0.75/1.09 (assume @p151 (forall @t203 (or @t236 (= @t248 @t96)))) % 0.75/1.09 (assume @p152 (forall @t34 (or @t249 (= (tptp.c_Power_Opower__class_Opower @t22 @t137 @t10) @t96)))) % 0.75/1.09 (assume @p153 (forall @t253 (or (= (tptp.c_List_Ohd @t188 @t10) @t252) @t251))) % 0.75/1.09 (assume @p154 (forall @t255 (= (tptp.c_List_Ohd @t254 @t10) (tptp.c_List_Ohd @t146 @t10)))) % 0.75/1.09 (assume @p155 (forall @t257 (or @t150 (not (tptp.c_in @t22 (tptp.c_List_Oset @t256 @t10) @t10))))) % 0.75/1.09 (assume @p156 (forall @t257 (or @t150 (not (tptp.c_in @t22 (tptp.c_List_Oset @t258 @t10) @t10))))) % 0.75/1.09 (assume @p157 (forall @t257 (= (tptp.c_List_Onth @t184 @t52 @t10) @t259))) % 0.75/1.09 (assume @p158 (forall @t260 (= (tptp.c_List_Otake @t52 @t184 @t10) (tptp.c_List_Olist_OCons @t22 @t256 @t10)))) % 0.75/1.09 (assume @p159 (forall @t264 (or @t263 @t262))) % 0.75/1.09 (assume @p160 (forall (@list @t22 @t109 @t10 @t230) (or @t150 @t262))) % 0.75/1.09 (assume @p161 (forall (@list @t230 @t109 @t10 @t22) (or (not (= @t261 @t109)) @t263 @t151))) % 0.75/1.09 (assume @p162 (forall (@list @t265 @t22 @t109 @t10) (or (tptp.hBOOL (tptp.hAPP @t265 @t22)) @t151 @t267))) % 0.75/1.09 (assume @p163 (forall (@list @t22 @t21 @t1 @t10) (or @t107 (not (tptp.c_in @t22 (tptp.c_List_Oset @t268 @t10) @t10))))) % 0.75/1.09 (assume @p164 (forall (@list @t109 @t10 @t1) (or (= (tptp.c_List_Onth @t111 @t1 @t10) (tptp.c_List_Onth @t109 (tptp.c_HOL_Ominus__class_Ominus @t269 @t52 tptp.tc_nat) @t10)) @t271))) % 0.75/1.09 (assume @p165 (forall @t278 (or @t157 @t277 @t40 @t274 @t273))) % 0.75/1.09 (assume @p166 (forall @t278 (or @t157 @t277 @t274 @t40 @t273))) % 0.75/1.09 (assume @p167 (forall @t260 (= (tptp.c_List_Odrop @t52 @t184 @t10) @t258))) % 0.75/1.09 (assume @p168 (forall @t281 (or (= @t256 @t109) @t280))) % 0.75/1.09 (assume @p169 (forall @t286 (or @t157 @t30 @t285))) % 0.75/1.09 (assume @p170 (forall @t286 (or @t157 @t284 (not @t287) @t31))) % 0.75/1.09 (assume @p171 (forall @t281 (= (tptp.c_Nat_Osize__class_Osize @t258 @t242) (tptp.c_HOL_Ominus__class_Ominus @t269 @t1 tptp.tc_nat)))) % 0.75/1.09 (assume @p172 (forall (@list @t22 @t109 @t10 @t39 @t21) (= (tptp.c_List_Olist__update @t184 @t93 @t21 @t10) (tptp.c_List_Olist_OCons @t22 @t288 @t10)))) % 0.75/1.09 (assume @p173 (forall @t290 (or (= (tptp.c_List_Ohd @t289 @t10) @t22) @t229))) % 0.75/1.09 (assume @p174 (forall @t290 (= (tptp.c_List_Oreplicate @t52 @t22 @t10) (tptp.c_List_Olist_OCons @t22 @t289 @t10)))) % 0.75/1.09 (assume @p175 (forall @t293 (or @t292 (not (tptp.c_lessequals @t269 @t39 tptp.tc_nat))))) % 0.75/1.09 (assume @p176 (forall @t295 (tptp.c_lessequals @t294 @t269 tptp.tc_nat))) % 0.75/1.09 (assume @p177 (forall @t192 (or @t150 @t297))) % 0.75/1.09 (assume @p178 (forall (@list @t1 @t2 @t109 @t10) (= (tptp.c_List_Odrop @t1 (tptp.c_List_Otake @t2 @t109 @t10) @t10) (tptp.c_List_Otake @t57 @t258 @t10)))) % 0.75/1.09 (assume @p179 (forall (@list @t22 @t109 @t10 @t298) (or @t150 @t299))) % 0.75/1.09 (assume @p180 (forall (@list @t22 @t109 @t298 @t10) (or @t299 @t150))) % 0.75/1.09 (assume @p181 (forall (@list @t39 @t41 @t22 @t10) (= (tptp.c_List_Odrop @t39 @t300 @t10) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t41 @t39 tptp.tc_nat) @t22 @t10)))) % 0.75/1.09 (assume @p182 (forall @t306 (or @t305 (= @t304 (tptp.c_List_Olist_OCons @t22 @t303 @t10)) (not @t302)))) % 0.75/1.09 (assume @p183 (forall @t306 (or @t305 (= @t304 (tptp.c_List_Olist_OCons @t21 (tptp.c_List_Olinorder__class_Oinsort__key @t152 @t22 @t146 @t10 @t239) @t10)) @t302))) % 0.75/1.09 (assume @p184 (forall (@list @t239 @t152 @t22 @t109 @t10) (or @t305 (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olinorder__class_Oinsort__key @t152 @t22 @t109 @t10 @t239) @t242) (tptp.c_Suc @t269))))) % 0.75/1.09 (assume @p185 (forall @t66 (or @t307 @t4 @t60 @t59))) % 0.75/1.09 (assume @p186 (forall @t67 (or @t3 (not @t307) @t60 @t59))) % 0.75/1.09 (assume @p187 (forall (@list @t10 @t186 @t21 @t22) (or @t309 (not (= (tptp.c_HOL_Ominus__class_Ominus @t186 @t21 @t10) @t308)) (= @t186 @t21)))) % 0.75/1.09 (assume @p188 (forall (@list @t10 @t22 @t166 @t167) (or @t309 (not (= @t308 @t169)) (= @t166 @t167)))) % 0.75/1.09 (assume @p189 (forall @t66 (or (not (= @t64 @t63)) @t60 @t59 @t108))) % 0.75/1.09 (assume @p190 (forall @t228 (or @t311 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t5 @t10) (tptp.hAPP @t310 @t56))))) % 0.75/1.09 (assume @p191 (forall @t69 (tptp.c_lessequals @t57 @t2 tptp.tc_nat))) % 0.75/1.09 (assume @p192 (forall @t66 (or (= (tptp.c_HOL_Ominus__class_Ominus @t64 @t63 tptp.tc_nat) @t57) @t60 @t59))) % 0.75/1.09 (assume @p193 (forall (@list @t39 @t38 @t41) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t39 @t38 tptp.tc_nat) @t41 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t39 @t41 tptp.tc_nat) @t38 tptp.tc_nat)))) % 0.75/1.09 (assume @p194 (forall (@list @t16 @t11 @t12) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t16 @t11 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t12 @t11 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t11 @t16 tptp.tc_nat)) @t231))) % 0.75/1.09 (assume @p195 (forall @t69 (or @t162 (= @t5 @t1) @t62))) % 0.75/1.09 (assume @p196 (forall @t69 (or @t4 @t135))) % 0.75/1.09 (assume @p197 (forall @t9 (or @t134 @t3))) % 0.75/1.09 (assume @p198 (forall @t67 (= (tptp.c_HOL_Ominus__class_Ominus @t126 (tptp.c_Suc @t41) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t57 @t41 tptp.tc_nat)))) % 0.75/1.09 (assume @p199 (forall @t43 (tptp.c_lessequals @t52 @t52 tptp.tc_nat))) % 0.75/1.09 (assume @p200 (forall @t174 (or (= (tptp.c_HOL_Ominus__class_Ominus @t1 (tptp.c_HOL_Ominus__class_Ominus @t1 @t39 tptp.tc_nat) tptp.tc_nat) @t39) (not (tptp.c_lessequals @t39 @t1 tptp.tc_nat))))) % 0.75/1.09 (assume @p201 (forall @t69 (or (= @t2 @t52) @t3 (not @t68)))) % 0.75/1.09 (assume @p202 (forall @t37 (or @t312 @t95))) % 0.75/1.09 (assume @p203 (forall @t69 (or @t62 @t7))) % 0.75/1.09 (assume @p204 (forall @t9 (or @t6 @t61))) % 0.75/1.09 (assume @p205 (forall @t235 (or @t77 (not (= @t73 @t72)) @t176 @t75 @t130))) % 0.75/1.09 (assume @p206 (forall @t112 (or (tptp.c_in @t252 @t110 @t10) @t251))) % 0.75/1.09 (assume @p207 (forall @t106 (or @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t195 @t12 @t10) @t16)))) % 0.75/1.09 (assume @p208 (forall @t313 (or @t77 @t3 (not (tptp.c_lessequals @t238 @t131 @t10)) @t97))) % 0.75/1.09 (assume @p209 (forall @t318 (or @t77 @t102 (not @t317) @t314))) % 0.75/1.09 (assume @p210 (forall @t319 (or @t77 @t317 (not @t102) @t314))) % 0.75/1.09 (assume @p211 (forall (@list @t22 @t1) (or (tptp.c_HOL_Oord__class_Oless @t94 @t52 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t22 @t1 tptp.tc_nat))))) % 0.75/1.09 (assume @p212 (forall @t69 (or @t61 (not @t320)))) % 0.75/1.09 (assume @p213 (forall @t69 (or @t320 @t62))) % 0.75/1.09 (assume @p214 (forall @t113 (or @t321 (not (= @t96 @t74))))) % 0.75/1.09 (assume @p215 (forall @t34 (or @t324 @t323 @t322))) % 0.75/1.09 (assume @p216 (forall @t203 (or @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 @t10) @t74)))) % 0.75/1.09 (assume @p217 (forall @t203 (or @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t74 @t10) @t16)))) % 0.75/1.09 (assume @p218 (forall @t34 (or @t141 @t322))) % 0.75/1.09 (assume @p219 (forall @t34 (or @t309 @t322))) % 0.75/1.09 (assume @p220 (forall @t113 (or @t321 (not (= @t74 @t96))))) % 0.75/1.09 (assume @p221 (forall @t99 (or @t324 @t323 (not (= @t170 @t74)) @t107))) % 0.75/1.09 (assume @p222 (forall @t106 (or @t141 @t325 @t176))) % 0.75/1.09 (assume @p223 (forall @t106 (or @t309 @t325 @t176))) % 0.75/1.09 (assume @p224 (tptp.c_lessequals @t137 @t137 tptp.tc_nat)) % 0.75/1.09 (assume @p225 (forall @t326 (not (= @t5 @t137)))) % 0.75/1.09 (assume @p226 (forall @t327 (not (= @t120 @t137)))) % 0.75/1.09 (assume @p227 (forall @t9 (or (not (= @t232 @t137)) @t139 @t108))) % 0.75/1.09 (assume @p228 (forall @t43 (or @t229 (not (tptp.c_lessequals @t1 @t137 tptp.tc_nat))))) % 0.75/1.09 (assume @p229 (forall @t326 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t137 tptp.tc_nat) @t2))) % 0.75/1.09 (assume @p230 (forall @t326 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 tptp.tc_nat) @t137))) % 0.75/1.09 (assume @p231 (forall @t326 (not (= @t137 @t5)))) % 0.75/1.09 (assume @p232 (forall @t327 (not (= @t137 @t120)))) % 0.75/1.09 (assume @p233 (forall @t43 (= (tptp.c_HOL_Ominus__class_Ominus @t137 @t1 tptp.tc_nat) @t137))) % 0.75/1.09 (assume @p234 (forall @t43 (tptp.c_lessequals @t137 @t1 tptp.tc_nat))) % 0.75/1.09 (assume @p235 (forall @t192 (= (tptp.c_List_Ohd @t184 @t10) @t22))) % 0.75/1.09 (assume @p236 (forall (@list @t144 @t22 @t146 @t10 @t109) (or (tptp.c_ListOrder_Ostep1 @t144 @t247 @t184 @t10) @t148))) % 0.75/1.09 (assume @p237 (forall @t331 (or @t147 @t330 @t328))) % 0.75/1.09 (assume @p238 (forall @t331 (or @t147 @t332 @t328))) % 0.75/1.09 (assume @p239 (forall (@list @t144 @t21 @t186 @t22 @t10) (or (not (tptp.hBOOL (tptp.hAPP @t329 @t186))) (tptp.c_ListOrder_Ostep1 @t144 (tptp.c_List_Olist_OCons @t21 @t22 @t10) (tptp.c_List_Olist_OCons @t186 @t22 @t10) @t10)))) % 0.75/1.09 (assume @p240 (forall (@list @t22 @t21 @t109 @t146 @t144 @t10) (or @t107 @t332 @t328))) % 0.75/1.09 (assume @p241 (forall (@list @t22 @t21 @t144 @t146 @t10 @t109) (or @t107 @t330 @t328))) % 0.75/1.09 (assume @p242 (forall (@list @t144 @t109 @t10) (not (tptp.c_ListOrder_Ostep1 @t144 @t109 @t250 @t10)))) % 0.75/1.09 (assume @p243 (forall (@list @t144 @t10 @t109) (not (tptp.c_ListOrder_Ostep1 @t144 @t250 @t109 @t10)))) % 0.75/1.09 (assume @p244 (forall (@list @t10 @t109 @t38 @t39) (or @t157 (tptp.c_lessequals @t275 @t276 @t10) @t274 @t40 (not (tptp.c_List_Olinorder__class_Osorted @t111 @t10))))) % 0.75/1.09 (assume @p245 (forall @t106 (or @t196 @t335 @t216 @t334))) % 0.75/1.09 (assume @p246 (forall @t106 (or @t196 @t335 @t336 @t214))) % 0.75/1.09 (assume @p247 (forall @t207 (or @t90 @t206 @t337 @t204 @t182))) % 0.75/1.09 (assume @p248 (forall @t207 (or @t90 @t206 @t337 @t338 @t130))) % 0.75/1.09 (assume @p249 (forall @t106 (or @t196 @t340 @t339 @t130))) % 0.75/1.09 (assume @p250 (forall @t106 (or @t196 @t340 @t75 @t182))) % 0.75/1.09 (assume @p251 (forall @t113 (or @t77 (tptp.c_HOL_Oord__class_Oless @t74 (tptp.hAPP @t310 @t96) @t10)))) % 0.75/1.09 (assume @p252 (forall @t78 (or @t77 @t179 @t75 (not @t341)))) % 0.75/1.09 (assume @p253 (forall @t344 (or @t343 (tptp.c_in @t22 (tptp.c_List_Oset @t186 @t10) @t10)))) % 0.75/1.09 (assume @p254 (forall @t344 (or @t343 (tptp.c_in @t22 (tptp.c_List_Oset @t342 @t10) @t10)))) % 0.75/1.09 (assume @p255 (forall @t344 @t343)) % 0.75/1.09 (assume @p256 (forall @t113 (or @t237 @t236 (= (tptp.c_Power_Opower__class_Opower @t74 @t137 @t10) @t96)))) % 0.75/1.09 (assume @p257 (forall @t313 (or @t77 @t61 (not (tptp.c_HOL_Oord__class_Oless @t238 @t131 @t10)) @t97))) % 0.75/1.09 (assume @p258 (forall @t161 (or @t77 (tptp.c_HOL_Oord__class_Oless @t131 @t132 @t10) @t97 @t345))) % 0.75/1.09 (assume @p259 (forall @t318 (or @t77 @t100 (not @t346) @t314))) % 0.75/1.09 (assume @p260 (forall @t319 (or @t77 @t346 @t101 @t314))) % 0.75/1.09 (assume @p261 (forall (@list @t146 @t109 @t21 @t22 @t144 @t10) (or @t352 @t227 @t351))) % 0.75/1.09 (assume @p262 (forall (@list @t144 @t21 @t22 @t146 @t10 @t109) (or @t330 @t227 @t351))) % 0.75/1.09 (assume @p263 (forall (@list @t144 @t21 @t22 @t146 @t109 @t10) (or @t330 @t147 @t351))) % 0.75/1.09 (assume @p264 (forall (@list @t146 @t109 @t144 @t10 @t21 @t22) (or @t352 @t147 @t351))) % 0.75/1.09 (assume @p265 (forall @t112 (or (= @t252 (tptp.c_List_Onth @t109 @t137 @t10)) @t251))) % 0.75/1.09 (assume @p266 (forall (@list @t230 @t109 @t146 @t10 @t22) (or (= (tptp.c_List_OtakeWhile @t230 @t188 @t10) @t261) @t263 @t151))) % 0.75/1.09 (assume @p267 (forall (@list @t144 @t354 @t353) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t144 @t354 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t355)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t354 @t353 tptp.tc_Lambda_OdB))))) % 0.75/1.09 (assume @p268 (forall @t281 (or (not @t356) @t279))) % 0.75/1.09 (assume @p269 (forall @t281 (or @t356 @t280))) % 0.75/1.09 (assume @p270 (forall @t368 (or @t367 @t362 @t361))) % 0.75/1.09 (assume @p271 (forall @t370 (= (tptp.c_List_Otake @t1 @t188 @t10) (tptp.c_List_Oappend @t256 (tptp.c_List_Otake @t369 @t146 @t10) @t10)))) % 0.75/1.09 (assume @p272 (forall @t368 (or @t367 @t372 @t371))) % 0.75/1.09 (assume @p273 (forall @t368 (or @t367 (= @t365 @t373) @t371))) % 0.75/1.09 (assume @p274 (forall @t368 (or @t367 (= @t375 @t363) @t361))) % 0.75/1.09 (assume @p275 (forall @t370 (= (tptp.c_List_Odrop @t1 @t188 @t10) (tptp.c_List_Oappend @t258 (tptp.c_List_Odrop @t369 @t146 @t10) @t10)))) % 0.75/1.09 (assume @p276 (forall @t379 (or @t378 (not (tptp.c_in @t22 (tptp.c_List_Oset @t376 @t10) @t10))))) % 0.75/1.09 (assume @p277 (forall @t379 (or @t378 @t297))) % 0.75/1.09 (assume @p278 (forall (@list @t380 @t10) (or (tptp.c_in (tptp.c_List_Olast @t380 @t10) (tptp.c_List_Oset @t380 @t10) @t10) (= @t380 @t250)))) % 0.75/1.09 (assume @p279 (forall @t155 (or (tptp.c_HOL_Oord__class_Oless @t21 @t154 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t21 @t153 tptp.tc_nat)) @t151))) % 0.75/1.09 (assume @p280 (forall @t385 (or @t384 @t383 @t382))) % 0.75/1.09 (assume @p281 (forall @t112 (or (= (tptp.c_List_Ohd @t111 @t10) @t386) @t251))) % 0.75/1.09 (assume @p282 (forall @t112 (or (= (tptp.c_List_Olast @t111 @t10) @t252) @t251))) % 0.75/1.09 (assume @p283 (forall @t192 (or (= @t191 @t190) @t151))) % 0.75/1.09 (assume @p284 (forall @t281 (or (= (tptp.c_List_Oappend @t256 (tptp.c_List_Olist_OCons @t387 @t250 @t10) @t10) (tptp.c_List_Otake @t52 @t109 @t10)) @t271))) % 0.75/1.09 (assume @p285 (forall (@list @t10 @t152 @t109 @t239 @t22) (or @t157 @t389 (not @t388)))) % 0.75/1.09 (assume @p286 (forall @t293 (= (tptp.c_Nat_Osize__class_Osize @t291 @t242) @t269))) % 0.75/1.09 (assume @p287 (forall @t112 (= (tptp.c_List_Obutlast @t390 @t10) @t296))) % 0.75/1.09 (assume @p288 (forall @t228 (or @t77 (not (tptp.c_HOL_Oord__class_Oless @t56 @t74 @t10))))) % 0.75/1.09 (assume @p289 (forall (@list @t10 @t16 @t12 @t11 @t17) (or @t249 (= (tptp.hAPP @t393 @t392) (tptp.hAPP @t391 @t19))))) % 0.75/1.09 (assume @p290 (forall @t396 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t395)) @t394))) % 0.75/1.09 (assume @p291 (forall @t290 (or (= (tptp.c_List_Olast @t289 @t10) @t22) @t229))) % 0.75/1.09 (assume @p292 (forall @t281 (= @t398 @t397))) % 0.75/1.09 (assume @p293 (forall @t281 (= (tptp.c_List_Oappend @t256 @t258 @t10) @t109))) % 0.75/1.09 (assume @p294 (forall (@list @t10 @t230 @t109) (or @t157 (tptp.c_List_Olinorder__class_Osorted @t261 @t10) @t273))) % 0.75/1.09 (assume @p295 (forall @t207 (or @t401 (not (= @t400 @t82)) @t399))) % 0.75/1.09 (assume @p296 (forall @t91 (or @t401 @t402 @t399))) % 0.75/1.09 (assume @p297 (forall @t91 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t10)) @t402 @t399))) % 0.75/1.09 (assume @p298 (forall @t404 (or @t324 @t323 (not (= @t211 @t403)) (= @t21 @t25)))) % 0.75/1.09 (assume @p299 (forall @t405 (= @t146 (tptp.c_List_Odrop @t269 @t188 @t10)))) % 0.75/1.09 (assume @p300 (forall @t106 (or @t196 @t335 @t336 @t334))) % 0.75/1.09 (assume @p301 (forall (@list @t230 @t109 @t10 @t38) (or (= (tptp.c_List_Onth @t261 @t38 @t10) @t275) (not (tptp.c_HOL_Oord__class_Oless @t38 @t294 tptp.tc_nat))))) % 0.75/1.09 (assume @p302 (forall @t281 (= @t397 @t398))) % 0.75/1.09 (assume @p303 (forall @t99 (or (not (tptp.class_Int_Oring__char__0 @t10)) @t323 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t22 @t10) (tptp.c_Int_Onumber__class_Onumber__of @t21 @t10))) @t107))) % 0.75/1.09 (assume @p304 (forall (@list @t22 @t406) (or @t312 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t407) @t406) @t22) @t406)))) % 0.75/1.09 (assume @p305 (forall (@list @t230 @t408 @t239 @t410 @t10 @t409) (= (tptp.hAPP (tptp.c_COMBC @t230 @t408 @t239 @t410 @t10) @t409) (tptp.hAPP (tptp.hAPP @t230 @t409) @t408)))) % 0.75/1.09 (assume @p306 (forall (@list @t411 @t22 @t10) (or @t413 (not @t412)))) % 0.75/1.09 (assume @p307 (forall (@list @t22 @t411 @t10) (or @t412 (not @t413)))) % 0.75/1.09 (assume @p308 (forall @t416 (or @t415 @t414))) % 0.75/1.09 (assume @p309 (forall (@list @t10 @t22 @t21 @t25 @t417) (or @t309 (not (= @t419 (tptp.hAPP @t418 @t417))) (= @t403 @t417)))) % 0.75/1.09 (assume @p310 (forall @t91 (or @t249 @t422))) % 0.75/1.09 (assume @p311 (forall @t424 (or @t249 (= @t423 (tptp.hAPP @t80 (tptp.hAPP @t86 @t17)))))) % 0.75/1.09 (assume @p312 (forall @t91 (or @t249 (= @t421 (tptp.hAPP @t391 @t12))))) % 0.75/1.09 (assume @p313 (forall @t424 (or @t249 (= @t423 (tptp.hAPP @t391 @t17))))) % 0.75/1.09 (assume @p314 (forall @t91 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t10)) @t422))) % 0.75/1.09 (assume @p315 (forall @t91 (or @t206 (= @t420 (tptp.hAPP @t14 @t87))))) % 0.75/1.09 (assume @p316 (forall @t91 (or @t206 @t422))) % 0.75/1.09 (assume @p317 (forall @t404 (or @t309 (= @t419 (tptp.hAPP @t418 @t403))))) % 0.75/1.09 (assume @p318 (forall @t404 (or @t249 (= @t419 (tptp.hAPP (tptp.hAPP @t13 @t211) @t25))))) % 0.75/1.09 (assume @p319 (forall (@list @t1 @t109 @t10 @t39) (or (= (tptp.c_List_Onth @t256 @t39 @t10) @t276) @t425))) % 0.75/1.09 (assume @p320 (forall @t48 (or @t35 @t47 @t46 @t50))) % 0.75/1.09 (assume @p321 (forall @t29 (or @t28 @t27 @t32 @t24))) % 0.75/1.09 (assume @p322 (forall @t426 (= (tptp.c_List_Otake @t1 @t241 @t10) (tptp.c_List_Omap @t152 (tptp.c_List_Otake @t1 @t109 @t239) @t239 @t10)))) % 0.75/1.09 (assume @p323 (forall @t427 (or @t157 (tptp.c_List_Olinorder__class_Osorted @t258 @t10) @t273))) % 0.75/1.09 (assume @p324 (forall (@list @t39 @t406 @t41) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t428) @t406) @t41) @t428) (= @t39 @t41) (tptp.c_HOL_Oord__class_Oless @t41 @t39 tptp.tc_nat)))) % 0.75/1.09 (assume @p325 (forall (@list @t265 @t109 @t10 @t146) (or @t266 @t430))) % 0.75/1.09 (assume @p326 (forall (@list @t265 @t146 @t10 @t109) (or @t431 @t430))) % 0.75/1.09 (assume @p327 (forall @t438 (= (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 @t435 @t10) @t434))) % 0.75/1.09 (assume @p328 (forall (@list @t144 @t440 @t39 @t406) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t442 @t440) @t39)) (tptp.hAPP @t441 @t39))) @t439))) % 0.75/1.09 (assume @p329 (forall @t445 (or @t444 @t443))) % 0.75/1.09 (assume @p330 (forall @t446 (= (tptp.c_List_Orev @t241 @t10) (tptp.c_List_Omap @t152 (tptp.c_List_Orev @t109 @t239) @t239 @t10)))) % 0.75/1.09 (assume @p331 (forall @t448 (or @t447 @t108))) % 0.75/1.09 (assume @p332 (forall (@list @t146 @t109 @t10 @t282) (or (not (= (tptp.c_List_Oappend @t146 @t109 @t10) (tptp.c_List_Oappend @t282 @t109 @t10))) @t449))) % 0.75/1.09 (assume @p333 (forall (@list @t109 @t39 @t16 @t10) (or (= (tptp.c_List_Olist__update @t109 @t39 @t16 @t10) (tptp.c_List_Oappend @t451 (tptp.c_List_Olist_OCons @t16 @t450 @t10) @t10)) @t444))) % 0.75/1.09 (assume @p334 (forall @t453 (or (= @t109 (tptp.c_List_Oappend @t451 @t452 @t10)) @t444))) % 0.75/1.09 (assume @p335 (forall @t445 (or (= (tptp.c_List_Otake @t93 @t109 @t10) (tptp.c_List_Oappend @t451 (tptp.c_List_Olist_OCons @t276 @t250 @t10) @t10)) @t444))) % 0.75/1.09 (assume @p336 (forall (@list @t440 @t454 @t417 @t39) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t456) @t417) @t39) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t455 @t417) @t39) (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t39 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.75/1.09 (assume @p337 (forall (@list @t354 @t1 @t222) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t354 @t460 tptp.tc_Lambda_OdB) @t459))) % 0.75/1.09 (assume @p338 (forall @t385 (or @t384 @t270 @t382))) % 0.75/1.09 (assume @p339 (forall @t385 (or @t384 @t383 @t461))) % 0.75/1.09 (assume @p340 (forall @t281 (or (= @t387 @t259) @t271 @t251))) % 0.75/1.09 (assume @p341 (forall @t453 (or (= @t452 @t462) @t444))) % 0.75/1.09 (assume @p342 (forall @t235 (or @t77 @t341 @t164 @t130 @t194))) % 0.75/1.09 (assume @p343 (forall @t445 (= (tptp.c_List_Orev @t462 @t10) (tptp.c_List_Otake @t463 @t111 @t10)))) % 0.75/1.09 (assume @p344 (forall @t445 (= (tptp.c_List_Orev @t451 @t10) (tptp.c_List_Odrop @t463 @t111 @t10)))) % 0.75/1.09 (assume @p345 (forall @t385 (or @t384 @t383 @t464))) % 0.75/1.09 (assume @p346 (forall (@list @t359 @t10 @t357 @t363) (or @t466 @t465 @t371))) % 0.75/1.09 (assume @p347 (forall (@list @t357 @t10 @t359 @t365) (or @t467 @t361 (= @t366 (tptp.c_List_Oappend @t357 @t375 @t10))))) % 0.75/1.09 (assume @p348 (forall @t385 (or @t384 @t270 @t461))) % 0.75/1.09 (assume @p349 (forall @t385 (or @t384 @t270 @t464))) % 0.75/1.09 (assume @p350 (forall @t469 (or (= @t468 (tptp.c_List_Oappend @t109 (tptp.c_List_Olist__update @t146 @t369 @t22 @t10) @t10)) @t270))) % 0.75/1.09 (assume @p351 (forall @t471 (or (= @t470 (tptp.c_List_Onth @t146 @t369 @t10)) @t270))) % 0.75/1.09 (assume @p352 (forall (@list @t22 @t109 @t1 @t10) (or (tptp.c_in @t22 (tptp.c_List_Oset @t472 @t10) @t10) @t271))) % 0.75/1.09 (assume @p353 (forall (@list @t109 @t1 @t10) (or (tptp.c_in @t259 @t110 @t10) @t271))) % 0.75/1.09 (assume @p354 (forall (@list @t186 @t109 @t10) (or (not (tptp.c_HOL_Oord__class_Oless @t186 @t269 tptp.tc_nat)) (tptp.c_in (tptp.c_List_Onth @t109 @t186 @t10) @t110 @t10)))) % 0.75/1.09 (assume @p355 (forall @t98 (or @t77 (tptp.c_HOL_Oord__class_Oless @t96 @t131 @t10) @t164 @t97))) % 0.75/1.09 (assume @p356 (forall @t235 (or @t77 (not (= @t131 @t234)) @t176 @t164 @t75 @t130))) % 0.75/1.09 (assume @p357 (forall @t474 (or @t473 @t151))) % 0.75/1.09 (assume @p358 (forall @t133 (or @t77 (tptp.c_HOL_Oord__class_Oless @t132 @t131 @t10) @t183 @t182 @t345))) % 0.75/1.09 (assume @p359 (forall (@list @t10 @t152 @t22 @t109 @t239) (or @t157 @t388 (not @t389)))) % 0.75/1.09 (assume @p360 (forall (@list @t152 @t109 @t41 @t21 @t239 @t10) (= (tptp.c_List_Omap @t152 (tptp.c_List_Olist__update @t109 @t41 @t21 @t239) @t239 @t10) (tptp.c_List_Olist__update @t241 @t41 @t301 @t10)))) % 0.75/1.09 (assume @p361 (forall @t293 (or (not @t292) @t444 (= @t276 @t22)))) % 0.75/1.09 (assume @p362 (forall @t477 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t476) (tptp.c_Lambda_OdB_OAbs @t440))) @t475))) % 0.75/1.09 (assume @p363 (forall @t253 (= (tptp.c_List_Orev @t188 @t10) (tptp.c_List_Oappend @t478 @t111 @t10)))) % 0.75/1.09 (assume @p364 (forall @t203 (or @t202 @t181 (not @t479)))) % 0.75/1.09 (assume @p365 (forall @t203 (or @t202 @t479 @t182))) % 0.75/1.09 (assume @p366 (forall @t98 (or @t321 @t483 @t482 @t236 @t481 @t480))) % 0.75/1.09 (assume @p367 (forall @t98 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t10)) @t481 @t480))) % 0.75/1.09 (assume @p368 (forall @t203 (or @t202 (not (= @t200 @t74)) @t480))) % 0.75/1.09 (assume @p369 (forall (@list @t10 @t22 @t16) (or @t324 @t323 (not (= @t22 (tptp.hAPP @t210 @t16))) @t480))) % 0.75/1.09 (assume @p370 (forall @t113 (or @t202 @t198))) % 0.75/1.09 (assume @p371 (forall @t34 (or @t249 (= (tptp.hAPP @t197 @t22) @t22)))) % 0.75/1.09 (assume @p372 (forall @t203 (or @t206 @t484))) % 0.75/1.09 (assume @p373 (forall @t34 (or @t324 @t323 (= @t22 (tptp.hAPP @t210 @t74))))) % 0.75/1.09 (assume @p374 (forall @t203 (or @t206 @t485))) % 0.75/1.09 (assume @p375 (forall @t203 (or @t486 @t484))) % 0.75/1.09 (assume @p376 (forall @t203 (or @t486 @t485))) % 0.75/1.09 (assume @p377 (forall @t203 (or @t249 @t485))) % 0.75/1.09 (assume @p378 (forall @t203 (or @t249 @t484))) % 0.75/1.09 (assume @p379 (not (tptp.c_HOL_Oord__class_Oless @t137 @t137 tptp.tc_nat))) % 0.75/1.09 (assume @p380 (forall @t43 (or @t163 @t229))) % 0.75/1.09 (assume @p381 (forall @t326 (not (tptp.c_HOL_Oord__class_Oless @t2 @t137 tptp.tc_nat)))) % 0.75/1.09 (assume @p382 (forall @t43 (not (tptp.c_HOL_Oord__class_Oless @t1 @t137 tptp.tc_nat)))) % 0.75/1.09 (assume @p383 (forall @t112 (= (tptp.c_List_Odrop @t137 @t109 @t10) @t109))) % 0.75/1.09 (assume @p384 (forall (@list @t22 @t10 @t21) (= @t487 (tptp.c_List_Oreplicate @t137 @t21 @t10)))) % 0.75/1.09 (assume @p385 (forall @t448 (or @t447 @t107 (= @t2 @t137)))) % 0.75/1.09 (assume @p386 (forall @t490 (or @t489 (= (tptp.c_List_Onth @t184 @t488 @t10) @t22)))) % 0.75/1.09 (assume @p387 (forall @t490 (or @t489 (= (tptp.c_List_Odrop @t488 @t184 @t10) @t184)))) % 0.75/1.09 (assume @p388 (forall (@list @t22 @t109 @t10 @t21 @t146) (= (tptp.c_List_Osplice @t184 @t303 @t10) (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Olist_OCons @t21 (tptp.c_List_Osplice @t109 @t146 @t10) @t10) @t10)))) % 0.75/1.09 (assume @p389 (forall (@list @t10 @t21 @t282 @t22) (or @t157 @t287 @t285))) % 0.75/1.09 (assume @p390 (forall (@list @t22 @t186 @t10 @t282) (= @t492 @t491))) % 0.75/1.09 (assume @p391 (forall (@list @t22 @t109 @t10 @t146) (= (tptp.c_List_Oappend @t184 @t146 @t10) (tptp.c_List_Olist_OCons @t22 @t188 @t10)))) % 0.75/1.09 (assume @p392 (forall (@list @t152 @t22 @t186 @t239 @t10) (= (tptp.c_List_Omap @t152 (tptp.c_List_Olist_OCons @t22 @t186 @t239) @t239 @t10) (tptp.c_List_Olist_OCons @t153 (tptp.c_List_Omap @t152 @t186 @t239 @t10) @t10)))) % 0.75/1.09 (assume @p393 (forall (@list @t152 @t186 @t342 @t239 @t10) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t152 @t186) (tptp.c_List_Omap @t152 @t342 @t239 @t10) @t10) (tptp.c_List_Omap @t152 (tptp.c_List_Olist_OCons @t186 @t342 @t239) @t239 @t10)))) % 0.75/1.09 (assume @p394 (forall (@list @t152 @t22 @t109 @t239 @t10) (= (tptp.c_List_Omap @t152 @t493 @t239 @t10) (tptp.c_List_Olist_OCons @t153 @t241 @t10)))) % 0.75/1.09 (assume @p395 (forall (@list @t22 @t186 @t282 @t10) (= @t491 @t492))) % 0.75/1.09 (assume @p396 (forall (@list @t22 @t494 @t282 @t10) (= (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Oappend @t494 @t282 @t10) @t10) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t22 @t494 @t10) @t282 @t10)))) % 0.75/1.09 (assume @p397 (forall (@list @t10 @t109 @t22) (or @t157 @t272 @t185))) % 0.75/1.09 (assume @p398 (forall @t264 (or (= @t495 (tptp.c_List_Olist_OCons @t22 @t261 @t10)) (not @t263)))) % 0.75/1.09 (assume @p399 (forall @t112 (or @t473 @t251))) % 0.75/1.09 (assume @p400 (forall @t113 (not (tptp.c_HOL_Oord__class_Oless @t137 @t496 tptp.tc_nat)))) % 0.75/1.09 (assume @p401 (forall @t497 (= (tptp.c_List_Olast @t348 @t10) @t22))) % 0.75/1.09 (assume @p402 (forall @t497 (= (tptp.c_List_Obutlast @t348 @t10) @t109))) % 0.75/1.09 (assume @p403 (forall @t192 (= (tptp.c_List_Orev @t184 @t10) (tptp.c_List_Oappend @t111 @t347 @t10)))) % 0.75/1.09 (assume @p404 (forall (@list @t109 @t10 @t21 @t146) (or (not (= @t111 @t303)) (= @t109 @t498)))) % 0.75/1.09 (assume @p405 (forall (@list @t146 @t10 @t21) (= (tptp.c_List_Orev @t498 @t10) @t303))) % 0.75/1.09 (assume @p406 (forall (@list @t39 @t22 @t10) (= (tptp.c_List_Oappend @t499 @t347 @t10) (tptp.c_List_Olist_OCons @t22 @t499 @t10)))) % 0.75/1.09 (assume @p407 (forall @t113 (= @t500 @t250))) % 0.75/1.09 (assume @p408 (forall @t446 (or (not (= @t241 @t250)) @t502))) % 0.75/1.09 (assume @p409 (forall @t113 (= @t250 @t503))) % 0.75/1.09 (assume @p410 (forall @t113 (= (tptp.c_List_Obutlast @t250 @t10) @t250))) % 0.75/1.09 (assume @p411 (forall (@list @t230 @t10) (= (tptp.c_List_OtakeWhile @t230 @t250 @t10) @t250))) % 0.75/1.09 (assume @p412 (forall @t405 (or (not (= @t146 @t188)) @t251))) % 0.75/1.09 (assume @p413 (forall @t253 (or (not (= @t188 @t146)) @t251))) % 0.75/1.09 (assume @p414 (forall @t253 (or (not (= @t109 @t188)) @t504))) % 0.75/1.09 (assume @p415 (forall @t253 (or (not (= @t188 @t109)) @t504))) % 0.75/1.09 (assume @p416 (forall @t112 (= (tptp.c_List_Osplice @t109 @t250 @t10) @t109))) % 0.75/1.09 (assume @p417 (forall @t255 (= (tptp.c_List_Osplice @t250 @t146 @t10) @t146))) % 0.75/1.09 (assume @p418 (forall @t505 (or (not (= @t250 @t111)) @t251))) % 0.75/1.09 (assume @p419 (forall @t253 (or @t506 @t504))) % 0.75/1.09 (assume @p420 (forall @t253 (or @t506 @t251))) % 0.75/1.09 (assume @p421 (forall @t508 (or @t507 @t504))) % 0.75/1.09 (assume @p422 (forall @t508 (or @t507 @t251))) % 0.75/1.09 (assume @p423 (forall @t509 (= (tptp.c_List_Odrop @t1 @t250 @t10) @t250))) % 0.75/1.09 (assume @p424 (forall (@list @t10 @t152 @t109 @t239) (or (not (= @t250 @t241)) @t502))) % 0.75/1.09 (assume @p425 (forall @t510 (= @t146 @t254))) % 0.75/1.09 (assume @p426 (forall @t255 (= @t254 @t146))) % 0.75/1.09 (assume @p427 (forall @t112 (= @t109 @t390))) % 0.75/1.09 (assume @p428 (forall @t511 (= @t22 (tptp.c_List_Oappend @t250 @t22 @t10)))) % 0.75/1.09 (assume @p429 (forall @t112 (= @t390 @t109))) % 0.75/1.09 (assume @p430 (forall @t509 (= (tptp.c_List_Otake @t1 @t250 @t10) @t250))) % 0.75/1.09 (assume @p431 (forall (@list @t265 @t10) (tptp.c_List_Olistsp @t265 @t250 @t10))) % 0.75/1.09 (assume @p432 (forall (@list @t152 @t239 @t10) (= @t512 @t250))) % 0.75/1.09 (assume @p433 (forall (@list @t10 @t265) (= (tptp.c_List_Osublist @t250 @t265 @t10) @t250))) % 0.75/1.09 (assume @p434 (forall @t113 (or @t157 (tptp.c_List_Olinorder__class_Osorted @t250 @t10)))) % 0.75/1.09 (assume @p435 (forall (@list @t10 @t41 @t22) (= (tptp.c_List_Olist__update @t250 @t41 @t22 @t10) @t250))) % 0.75/1.09 (assume @p436 (forall (@list @t10 @t39 @t21) (= (tptp.c_List_Olist__update @t250 @t39 @t21 @t10) @t250))) % 0.75/1.09 (assume @p437 (forall (@list @t10 @t39 @t222) (= (tptp.c_List_Olist__update @t250 @t39 @t222 @t10) @t250))) % 0.75/1.09 (assume @p438 (forall @t112 (or (not (= @t111 @t250)) @t251))) % 0.75/1.09 (assume @p439 (forall (@list @t10 @t152 @t239) (= @t250 @t512))) % 0.75/1.09 (assume @p440 (forall @t113 (= @t250 @t500))) % 0.75/1.09 (assume @p441 (forall @t113 (= @t503 @t250))) % 0.75/1.09 (assume @p442 (forall (@list @t109 @t41 @t22 @t10) (or (not (= (tptp.c_List_Olist__update @t109 @t41 @t22 @t10) @t250)) @t251))) % 0.75/1.09 (assume @p443 (forall @t505 (or @t486 (= @t513 (tptp.c_List_Ofoldl @t13 @t74 @t109 @t10 @t10))))) % 0.75/1.09 (assume @p444 (forall (@list @t440 @t417 @t406 @t41) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t515) @t406) @t41) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t455 @t406) @t41)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t417) @t406) @t41))))) % 0.75/1.09 (assume @p445 (forall (@list @t519 @t518 @t516) (not (= @t520 @t517)))) % 0.75/1.09 (assume @p446 (forall (@list @t516 @t519 @t518) (not (= @t517 @t520)))) % 0.75/1.09 (assume @p447 (forall (@list @t230 @t437 @t436 @t433 @t342 @t521) (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t342) @t521) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t230 (tptp.hAPP (tptp.hAPP @t436 @t342) @t521)))))) % 0.75/1.09 (assume @p448 (forall (@list @t230 @t437 @t436 @t433 @t519 @t518) (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 @t520 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t230 @t522))))) % 0.75/1.09 (assume @p449 (forall @t523 (= (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 @t520 @t10) @t522))) % 0.75/1.09 (assume @p450 (forall @t523 (= (tptp.c_Lambda_OdB_OdB__rec @t437 @t436 @t433 @t520 @t10) (tptp.hAPP (tptp.hAPP @t522 (tptp.c_Lambda_OdB_OdB__rec @t437 @t436 @t433 @t519 @t10)) (tptp.c_Lambda_OdB_OdB__rec @t437 @t436 @t433 @t518 @t10))))) % 0.75/1.09 (assume @p451 (forall (@list @t417 @t406 @t440) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t524 @t406)) (tptp.hAPP @t524 @t440))) @t475))) % 0.75/1.09 (assume @p452 (forall (@list @t406 @t417 @t440) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t525 @t417)) @t515)) @t475))) % 0.75/1.09 (assume @p453 (forall @t526 (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 @t395) @t406) @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t406))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t442 @t406) @t137) @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.75/1.09 (assume @p454 (forall @t286 (or (not (tptp.class_OrderedGroup_Osemigroup__add @t10)) (= (tptp.c_List_Ofoldl @t13 @t211 @t282 @t10 @t10) (tptp.hAPP @t210 (tptp.c_List_Ofoldl @t13 @t21 @t282 @t10 @t10)))))) % 0.75/1.09 (assume @p455 (forall (@list @t152 @t16 @t109 @t146 @t239 @t10) (= (tptp.c_List_Ofoldl @t152 @t16 @t527 @t10 @t239) (tptp.c_List_Ofoldl @t152 (tptp.c_List_Ofoldl @t152 @t16 @t109 @t10 @t239) @t146 @t10 @t239)))) % 0.75/1.09 (assume @p456 (forall (@list @t516 @t118) (not (= @t517 @t528)))) % 0.75/1.09 (assume @p457 (forall (@list @t230 @t437 @t436 @t433 @t529) (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 (tptp.c_Lambda_OdB_OVar @t529) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t230 (tptp.hAPP @t437 @t529)))))) % 0.75/1.09 (assume @p458 (forall (@list @t230 @t437 @t436 @t433 @t118) (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 @t528 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t230 @t530))))) % 0.75/1.09 (assume @p459 (forall @t531 (or (not (= @t188 (tptp.c_List_Oappend @t109 @t282 @t10))) @t449))) % 0.75/1.09 (assume @p460 (forall @t427 (or @t157 (tptp.c_List_Olinorder__class_Osorted @t256 @t10) @t273))) % 0.75/1.09 (assume @p461 (forall (@list @t109 @t22 @t146 @t10) (= (tptp.c_List_Onth @t532 @t269 @t10) @t22))) % 0.75/1.09 (assume @p462 (forall @t295 (= @t261 (tptp.c_List_Otake @t294 @t109 @t10)))) % 0.75/1.09 (assume @p463 (forall @t295 (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_List_Onth @t109 @t294 @t10)))) (not (tptp.c_HOL_Oord__class_Oless @t294 @t269 tptp.tc_nat))))) % 0.75/1.09 (assume @p464 (forall @t112 (= @t109 @t533))) % 0.75/1.09 (assume @p465 (forall @t510 (= (tptp.c_List_Orev @t478 @t10) @t146))) % 0.75/1.09 (assume @p466 (forall @t112 (= @t533 @t109))) % 0.75/1.09 (assume @p467 (forall @t112 (or (= (tptp.c_List_Oappend @t296 (tptp.c_List_Olist_OCons @t386 @t250 @t10) @t10) @t109) @t251))) % 0.75/1.09 (assume @p468 (forall @t534 (= @t109 (tptp.c_List_Otake @t269 @t188 @t10)))) % 0.75/1.09 (assume @p469 (forall @t446 (= (tptp.c_Nat_Osize__class_Osize @t241 @t242) @t536))) % 0.75/1.09 (assume @p470 (forall (@list @t152 @t1 @t22 @t239 @t10) (= (tptp.c_List_Omap @t152 (tptp.c_List_Oreplicate @t1 @t22 @t239) @t239 @t10) (tptp.c_List_Oreplicate @t1 @t153 @t10)))) % 0.75/1.09 (assume @p471 (forall @t471 (or (= @t470 @t259) @t271))) % 0.75/1.09 (assume @p472 (forall (@list @t10 @t16 @t11) (or @t249 (= @t87 @t82)))) % 0.75/1.09 (assume @p473 (forall @t106 (or @t206 (= @t195 @t400)))) % 0.75/1.09 (assume @p474 (forall @t99 (or @t249 (= @t211 (tptp.hAPP @t418 @t22))))) % 0.75/1.09 (assume @p475 (forall @t290 (= (tptp.c_List_Orev @t289 @t10) @t289))) % 0.75/1.09 (assume @p476 (forall @t58 (or (not (tptp.class_Nat_Osemiring__char__0 @t10)) (not (= @t56 @t55)) @t108))) % 0.75/1.09 (assume @p477 (forall @t203 (or @t202 @t537 @t334))) % 0.75/1.09 (assume @p478 (forall @t203 (or @t202 @t333 @t538))) % 0.75/1.09 (assume @p479 (forall @t203 (or @t539 @t333 @t538))) % 0.75/1.09 (assume @p480 (forall @t203 (or @t539 @t537 @t334))) % 0.75/1.09 (assume @p481 (forall (@list @t22 @t109 @t10 @t186) (or (not (tptp.c_HOL_Oord__class_Oless @t22 @t269 tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Olist__update @t109 @t22 @t186 @t10) @t22 @t10) @t186)))) % 0.75/1.09 (assume @p482 (forall @t293 (or (= (tptp.c_List_Onth @t291 @t39 @t10) @t22) @t444))) % 0.75/1.09 (assume @p483 (forall @t98 (or @t77 (tptp.c_HOL_Oord__class_Oless @t74 @t131 @t10) @t182))) % 0.75/1.09 (assume @p484 (forall @t281 (or (= (tptp.c_List_Olast @t258 @t10) @t386) @t271))) % 0.75/1.09 (assume @p485 (forall (@list @t432 @t516) (or (not (= @t435 @t517)) (= @t432 @t516)))) % 0.75/1.09 (assume @p486 (forall @t281 (or (= (tptp.c_List_Otake @t1 @t296 @t10) @t256) @t271))) % 0.75/1.09 (assume @p487 (forall (@list @t152 @t109 @t239 @t10 @t146) (or (not (= @t241 @t540)) (= @t536 (tptp.c_Nat_Osize__class_Osize @t146 @t535))))) % 0.75/1.09 (assume @p488 (forall (@list @t109 @t10 @t282) (or (not (= @t109 (tptp.c_List_Otake @t269 @t282 @t10))) (= (tptp.c_List_Oappend @t109 (tptp.c_List_Odrop @t269 @t282 @t10) @t10) @t282)))) % 0.75/1.09 (assume @p489 (forall @t469 (or (= @t468 (tptp.c_List_Oappend @t472 @t146 @t10)) @t271))) % 0.75/1.09 (assume @p490 (forall (@list @t109 @t146 @t10 @t39 @t22) (or (= (tptp.c_List_Olist__update @t188 @t39 @t22 @t10) (tptp.c_List_Oappend @t291 @t146 @t10)) @t444))) % 0.75/1.09 (assume @p491 (forall (@list @t1 @t22 @t10 @t39) (or (= (tptp.c_List_Onth @t289 @t39 @t10) @t22) @t425))) % 0.75/1.09 (assume @p492 (forall (@list @t230 @t109 @t22 @t122 @t10) (or (= (tptp.c_List_OtakeWhile @t230 (tptp.c_List_Oappend @t109 (tptp.c_List_Olist_OCons @t22 @t122 @t10) @t10) @t10) @t261) @t263))) % 0.75/1.09 (assume @p493 (forall @t37 (not @t312))) % 0.75/1.09 (assume @p494 (forall @t43 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat)))) % 0.75/1.09 (assume @p495 (forall @t34 (or @t35 @t159))) % 0.75/1.09 (assume @p496 (forall @t34 (or @t157 @t159))) % 0.75/1.09 (assume @p497 (forall @t34 (or @t28 @t159))) % 0.75/1.09 (assume @p498 (forall @t253 (or (= (tptp.c_List_Olast @t188 @t10) (tptp.c_List_Olast @t146 @t10)) @t504))) % 0.75/1.09 (assume @p499 (forall @t477 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t541) (tptp.hAPP @t441 @t137))))) % 0.75/1.09 (assume @p500 (forall @t106 (or @t196 @t340 @t339 @t182))) % 0.75/1.09 (assume @p501 (forall @t542 (or @t486 (= (tptp.c_List_Olistsum @t184 @t10) (tptp.hAPP @t210 @t513))))) % 0.75/1.09 (assume @p502 (forall (@list @t152 @t109 @t146 @t239 @t10) (= (tptp.c_List_Omap @t152 @t527 @t239 @t10) (tptp.c_List_Oappend @t241 @t540 @t10)))) % 0.75/1.09 (assume @p503 (forall @t160 (or @t539 @t49 @t23 @t107))) % 0.75/1.09 (assume @p504 (forall @t99 (or @t157 @t107 @t49 @t23))) % 0.75/1.09 (assume @p505 (forall @t9 (or @t114 @t61 @t108))) % 0.75/1.09 (assume @p506 (forall (@list @t230 @t1 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t230 @t1) @t2)) @t114 @t108 @t61))) % 0.75/1.09 (assume @p507 (forall (@list @t21 @t22) (or (tptp.c_HOL_Oord__class_Oless @t21 @t22 tptp.tc_nat) @t100 @t107))) % 0.75/1.09 (assume @p508 (forall @t160 (or @t157 @t49 @t23 @t107))) % 0.75/1.09 (assume @p509 (forall (@list @t1 @t22 @t10 @t41) (= (tptp.c_List_Oappend @t289 @t300 @t10) (tptp.c_List_Oappend @t300 @t289 @t10)))) % 0.75/1.09 (assume @p510 (forall @t160 (or @t157 @t49 @t107 @t23))) % 0.75/1.09 (assume @p511 (forall @t99 (or @t157 @t107 @t23 @t49))) % 0.75/1.09 (assume @p512 (forall @t149 (or @t218 @t217 @t219 @t194))) % 0.75/1.09 (assume @p513 (forall (@list @t152 @t109 @t10 @t239 @t1) (or (= (tptp.c_List_Onth (tptp.c_List_Omap @t152 @t109 @t10 @t239) @t1 @t239) (tptp.hAPP @t152 @t259)) @t271))) % 0.75/1.09 (assume @p514 (forall @t58 (or @t77 @t543 @t62))) % 0.75/1.09 (assume @p515 (forall @t58 (or @t77 @t61 (not @t543)))) % 0.75/1.09 (assume @p516 (forall @t534 (or (not (= @t111 @t478)) @t332))) % 0.75/1.09 (assume @p517 (forall @t156 (or @t77 @t544 @t164))) % 0.75/1.09 (assume @p518 (forall @t156 (or @t77 @t163 (not @t544)))) % 0.75/1.09 (assume @p519 (forall @t112 (= (tptp.c_List_Olast @t390 @t10) @t386))) % 0.75/1.09 (assume @p520 (forall @t505 (or @t206 (= (tptp.c_List_Olistsum @t111 @t10) @t513)))) % 0.75/1.09 (assume @p521 (forall (@list @t265 @t109 @t146 @t10) (or @t429 (not @t431) @t267))) % 0.75/1.09 (assume @p522 (forall @t438 (= (tptp.c_Lambda_OdB_OdB__rec @t437 @t436 @t433 @t435 @t10) (tptp.hAPP @t434 (tptp.c_Lambda_OdB_OdB__rec @t437 @t436 @t433 @t432 @t10))))) % 0.75/1.09 (assume @p523 (forall @t290 (= (tptp.c_Nat_Osize__class_Osize @t289 @t242) @t1))) % 0.75/1.09 (assume @p524 (forall @t453 @t443)) % 0.75/1.09 (assume @p525 (forall @t207 (or @t77 @t337 @t338 @t182))) % 0.75/1.09 (assume @p526 (forall (@list @t38 @t417 @t39) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t545) @t417) @t39) @t545) (not (tptp.c_HOL_Oord__class_Oless @t38 @t39 tptp.tc_nat))))) % 0.75/1.09 (assume @p527 (forall (@list @t230 @t437 @t436 @t433 @t432) (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 @t435 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t230 @t434))))) % 0.75/1.09 (assume @p528 (forall (@list @t230 @t437 @t436 @t433 @t186) (or (not (tptp.hBOOL (tptp.hAPP @t230 (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 (tptp.c_Lambda_OdB_OAbs @t186) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t230 (tptp.hAPP @t433 @t186)))))) % 0.75/1.09 (assume @p529 (forall (@list @t144 @t39 @t38) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t442 @t428) @t38))) @t394))) % 0.75/1.09 (assume @p530 (forall (@list @t109 @t22 @t146 @t10 @t21) (= (tptp.c_List_Olist__update @t532 @t269 @t21 @t10) (tptp.c_List_Oappend @t109 @t303 @t10)))) % 0.75/1.09 (assume @p531 (forall @t89 (or @t218 @t546 @t194))) % 0.75/1.09 (assume @p532 (forall @t89 (or @t90 @t546 @t194))) % 0.75/1.09 (assume @p533 (forall @t91 (or @t90 @t179 (not @t546)))) % 0.75/1.09 (assume @p534 (forall @t85 (or @t218 @t547 @t194))) % 0.75/1.09 (assume @p535 (forall @t85 (or @t90 @t547 @t194))) % 0.75/1.09 (assume @p536 (forall @t91 (or @t90 @t179 (not @t547)))) % 0.75/1.09 (assume @p537 (forall (@list @t1 @t109 @t10 @t21 @t146) (or (not (= @t258 @t303)) (= @t259 @t21)))) % 0.75/1.09 (assume @p538 (forall (@list @t357 @t10 @t359 @t363) (or (not (= (tptp.c_List_Oappend @t374 @t373 @t10) @t363)) @t467 @t466 @t465))) % 0.75/1.09 (assume @p539 (forall (@list @t549 @t550 @t548 @t440) (or (tptp.c_Type_Otyping @t549 @t550 @t548) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t440) @t550))) (not (tptp.c_Type_Otyping @t549 @t440 @t548))))) % 0.75/1.09 (assume @p540 (forall @t508 (or @t157 @t272 @t189))) % 0.75/1.09 (assume @p541 (forall (@list @t10 @t146 @t109) (or @t157 (tptp.c_List_Olinorder__class_Osorted @t146 @t10) @t189))) % 0.75/1.09 (assume @p542 (forall (@list @t109 @t39 @t22 @t10 @t551 @t166) (or (= (tptp.c_List_Olist__update @t291 @t551 @t166 @t10) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t109 @t551 @t166 @t10) @t39 @t22 @t10)) (= @t39 @t551)))) % 0.75/1.09 (assume @p543 (forall (@list @t1 @t22 @t10 @t109) (= (tptp.c_List_Oappend @t289 @t184 @t10) (tptp.c_List_Olist_OCons @t22 (tptp.c_List_Oappend @t289 @t109 @t10) @t10)))) % 0.75/1.09 (assume @p544 (forall @t426 (= (tptp.c_List_Odrop @t1 @t241 @t10) (tptp.c_List_Omap @t152 (tptp.c_List_Odrop @t1 @t109 @t239) @t239 @t10)))) % 0.75/1.09 (assume @p545 (forall @t112 (= (tptp.c_Nat_Osize__class_Osize @t111 @t242) @t269))) % 0.75/1.09 (assume @p546 (forall @t253 (or (= @t377 (tptp.c_List_Oappend @t109 @t376 @t10)) @t504))) % 0.75/1.09 (assume @p547 (forall @t508 (or @t486 (= (tptp.c_List_Olistsum @t188 @t10) (tptp.hAPP (tptp.hAPP @t13 @t513) (tptp.c_List_Olistsum @t146 @t10)))))) % 0.75/1.09 (assume @p548 (forall @t416 (or @t415 @t414 @t444))) % 0.75/1.09 (assume @p549 (forall (@list @t454) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t137 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t454 tptp.tc_Lambda_OdB))))) % 0.75/1.09 (assume @p550 (forall (@list @t109 @t39 @t22 @t10 @t21) (= (tptp.c_List_Olist__update @t291 @t39 @t21 @t10) @t288))) % 0.75/1.09 (assume @p551 (forall @t531 (= (tptp.c_List_Oappend @t188 @t282 @t10) (tptp.c_List_Oappend @t109 (tptp.c_List_Oappend @t146 @t282 @t10) @t10)))) % 0.75/1.09 (assume @p552 (forall (@list @t109 @t494 @t142 @t10) (= (tptp.c_List_Oappend @t109 (tptp.c_List_Oappend @t494 @t142 @t10) @t10) (tptp.c_List_Oappend (tptp.c_List_Oappend @t109 @t494 @t10) @t142 @t10)))) % 0.75/1.09 (assume @p553 (forall (@list @t282 @t22 @t10 @t146) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t282 @t22 @t10) @t146 @t10) (tptp.c_List_Oappend @t282 (tptp.c_List_Oappend @t22 @t146 @t10) @t10)))) % 0.75/1.09 (assume @p554 (forall (@list @t109 @t22 @t454 @t10) (= (tptp.c_List_Oappend @t109 (tptp.c_List_Oappend @t22 @t454 @t10) @t10) (tptp.c_List_Oappend @t145 @t454 @t10)))) % 0.75/1.09 (assume @p555 (forall @t106 (or @t35 @t194 @t552))) % 0.75/1.09 (assume @p556 (forall @t99 (or @t157 @t24 @t50))) % 0.75/1.09 (assume @p557 (forall @t160 (or @t28 @t50 @t24))) % 0.75/1.09 (assume @p558 (forall @t178 (or @t28 @t552 @t194))) % 0.75/1.09 (assume @p559 (forall (@list @t41 @t417) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t41)) @t417) @t41) @t417))) % 0.75/1.09 (assume @p560 (forall (@list @t39 @t440) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t428) @t440))))) % 0.75/1.09 (assume @p561 (forall @t553 (= (tptp.c_Lambda_OdB_OdB__rec @t437 @t436 @t433 @t528 @t10) @t530))) % 0.75/1.09 (assume @p562 (forall (@list @t118 @t516) (not (= @t528 @t517)))) % 0.75/1.09 (assume @p563 (forall @t43 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t457)))) % 0.75/1.09 (assume @p564 (forall (@list @t549 @t39 @t548) (or (= (tptp.hAPP @t549 @t39) @t548) (not (tptp.c_Type_Otyping @t549 @t428 @t548))))) % 0.75/1.09 (assume @p565 (forall @t553 (= (tptp.c_Lambda_OdB_OdB__case @t437 @t436 @t433 @t528 @t10) @t530))) % 0.75/1.09 (assume @p566 (forall (@list @t554 @t22) (tptp.c_Type_Otyping @t554 @t407 (tptp.hAPP @t554 @t22)))) % 0.75/1.09 (assume @p567 (forall @t558 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t557)) @t555))) % 0.75/1.09 (assume @p568 (forall (@list @t440 @t41 @t406) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t559) @t406) @t41) @t440))) % 0.75/1.09 (assume @p569 (forall (@list @t144 @t39 @t406) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t144) @t39)) (tptp.hAPP @t560 @t39))) @t439))) % 0.75/1.09 (assume @p570 (forall @t563 (or (= @t562 @t347) (not @t561)))) % 0.75/1.09 (assume @p571 (forall @t490 (or @t489 (= (tptp.c_List_Otake @t488 @t184 @t10) @t250)))) % 0.75/1.09 (assume @p572 (forall @t563 (or (= @t562 @t250) @t561))) % 0.75/1.09 (assume @p573 (forall (@list @t1 @t354) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t458)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t354 tptp.tc_Lambda_OdB))))) % 0.75/1.09 (assume @p574 (forall (@list @t222 @t1 @t354) (or (= @t222 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t457 @t460 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t459))) % 0.75/1.09 (assume @p575 (forall (@list @t440 @t454 @t39) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t456) @t39) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t557 (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t39 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.75/1.09 (assume @p576 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ta____))) % 0.75/1.09 (assume @p577 (forall @t156 (or @t321 @t483 @t482 @t236 @t564 @t229))) % 0.75/1.09 (assume @p578 (forall @t156 (or @t237 @t236 @t564 @t229))) % 0.75/1.09 (assume @p579 (forall @t203 (or @t321 @t483 @t482 @t236 (not (= @t248 @t74))))) % 0.75/1.09 (assume @p580 (forall @t113 (or @t311 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t137 @t10) @t74)))) % 0.75/1.09 (assume @p581 (forall @t113 (or @t486 (= (tptp.c_List_Olistsum @t250 @t10) @t74)))) % 0.75/1.09 (assume @p582 (forall @t192 (= (tptp.c_List_Onth @t184 @t137 @t10) @t22))) % 0.75/1.09 (assume @p583 (forall @t192 (= (tptp.c_List_Odrop @t137 @t184 @t10) @t184))) % 0.75/1.09 (assume @p584 (forall (@list @t22 @t109 @t10 @t21) (= (tptp.c_List_Olist__update @t184 @t137 @t21 @t10) (tptp.c_List_Olist_OCons @t21 @t109 @t10)))) % 0.75/1.09 (assume @p585 (forall (@list @t565 @t10) (= (tptp.c_List_Olist_Olist__size @t565 @t250 @t10) @t137))) % 0.75/1.09 (assume @p586 (forall (@list @t152 @t10) (= (tptp.c_List_Olist_Olist__size @t152 @t250 @t10) @t137))) % 0.75/1.09 (assume @p587 (forall @t112 (or (not (= @t269 @t137)) @t251))) % 0.75/1.09 (assume @p588 (forall (@list @t10 @t1 @t22) (or (not (= @t250 @t289)) @t229))) % 0.75/1.09 (assume @p589 (forall @t290 (or (not (= @t289 @t250)) @t229))) % 0.75/1.09 (assume @p590 (forall @t112 (= (tptp.c_List_Otake @t137 @t109 @t10) @t250))) % 0.75/1.09 (assume @p591 (forall @t34 (= @t250 @t487))) % 0.75/1.09 (assume @p592 (forall @t113 (= @t496 @t137))) % 0.75/1.09 (assume @p593 (forall @t281 (or (not (= @t256 @t250)) @t251 @t229))) % 0.75/1.09 (assume @p594 (forall @t113 (= (tptp.c_List_Olength__unique @t250 @t10) @t137))) % 0.75/1.09 (assume @p595 (forall @t511 (= @t487 @t250))) % 0.75/1.09 (assume @p596 (forall @t567 (or @t566 @t107))) % 0.75/1.09 (assume @p597 (forall @t567 (or @t566 @t332))) % 0.75/1.09 (assume @p598 (forall @t542 (= @t568 @t184))) % 0.75/1.09 (assume @p599 (forall (@list @t239 @t152 @t22 @t10) (or @t305 (= (tptp.c_List_Olinorder__class_Oinsort__key @t152 @t22 @t250 @t10 @t239) @t347)))) % 0.75/1.09 (assume @p600 (forall @t192 (or (= (tptp.c_List_Obutlast @t184 @t10) (tptp.c_List_Olist_OCons @t22 @t296 @t10)) @t251))) % 0.75/1.09 (assume @p601 (forall @t511 (= (tptp.c_List_Olast @t347 @t10) @t22))) % 0.75/1.09 (assume @p602 (forall @t511 (= (tptp.c_List_Obutlast @t347 @t10) @t250))) % 0.75/1.09 (assume @p603 (forall @t192 (= (tptp.c_List_Osplice @t184 @t250 @t10) @t184))) % 0.75/1.09 (assume @p604 (forall @t474 (or (not (= @t111 @t347)) @t569))) % 0.75/1.09 (assume @p605 (forall @t264 (or (= @t495 @t250) @t263))) % 0.75/1.09 (assume @p606 (forall (@list @t22 @t10 @t109) (or (not (= @t347 @t111)) @t569))) % 0.75/1.09 (assume @p607 (forall @t511 (= @t570 @t347))) % 0.75/1.09 (assume @p608 (forall @t192 (or (= (tptp.c_List_Olast @t184 @t10) @t386) @t251))) % 0.75/1.09 (assume @p609 (forall @t192 (= @t184 @t568))) % 0.75/1.09 (assume @p610 (forall @t511 (= @t347 @t570))) % 0.75/1.09 (assume @p611 (forall @t34 (or @t157 (tptp.c_List_Olinorder__class_Osorted @t347 @t10)))) % 0.75/1.09 (assume @p612 (forall (@list @t10 @t22 @t282) (or @t486 (= (tptp.hAPP @t210 (tptp.c_List_Ofoldl @t13 @t74 @t282 @t10 @t10)) (tptp.c_List_Ofoldl @t13 @t22 @t282 @t10 @t10))))) % 0.75/1.09 (assume @p613 (forall @t571 (= (tptp.c_Nat_Osize__class_Osize @t528 tptp.tc_Lambda_OdB) @t137))) % 0.75/1.09 (assume @p614 (forall @t571 (= (tptp.c_Lambda_OdB_OdB__size @t528) @t137))) % 0.75/1.09 (assume @p615 (forall @t574 (or @t573 (= @t406 @t395)))) % 0.75/1.09 (assume @p616 (forall @t577 (or @t576 @t575))) % 0.75/1.09 (assume @p617 (forall @t577 (or @t576 @t578))) % 0.75/1.09 (assume @p618 (forall (@list @t144 @t353 @t406) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t355) @t572)) @t439))) % 0.75/1.09 (assume @p619 (forall @t526 (or @t579 (= @t395 @t406)))) % 0.75/1.09 (assume @p620 (forall @t558 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t514 @t428))) @t555))) % 0.75/1.09 (assume @p621 (forall (@list @t39 @t41) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t428) @t41) @t428) (not (tptp.c_HOL_Oord__class_Oless @t39 @t41 tptp.tc_nat))))) % 0.75/1.09 (assume @p622 (forall @t586 (or @t585 (= @t454 (tptp.c_List_Oappend @t583 @t582 tptp.tc_Lambda_OdB)) @t581))) % 0.75/1.09 (assume @p623 (forall @t192 (= (tptp.c_List_Otake @t137 @t184 @t10) @t250))) % 0.75/1.09 (assume @p624 (forall (@list @t548 @t588 @t549 @t39 @t454) (or (= @t548 @t588) (not (tptp.c_Type_Otyping @t549 @t587 @t588)) (not (tptp.c_Type_Otyping @t549 @t587 @t548))))) % 0.75/1.09 (assume @p625 (forall (@list @t1 @t454 @t144 @t353) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t457 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t395 @t353 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.75/1.09 (assume @p626 (forall (@list @t406 @t440 @t1 @t353) (not (= @t541 @t589)))) % 0.75/1.09 (assume @p627 (forall @t526 (or @t579 @t590))) % 0.75/1.09 (assume @p628 (forall @t396 (= @t395 @t591))) % 0.75/1.09 (assume @p629 (forall @t586 (or @t585 (= @t144 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t440 @t583 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t581))) % 0.75/1.09 (assume @p630 (forall @t574 (or @t573 @t590))) % 0.75/1.09 (assume @p631 (forall @t396 (= @t591 @t395))) % 0.75/1.09 (assume @p632 (forall (@list @t22 @t406 @t440) (or (= @t592 @t580) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t440 @t22 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t406) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t440 @t592 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.75/1.09 (assume @p633 (forall (@list @t440 @t454 @t417) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t456) @t417) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t440 (tptp.c_List_Oappend @t454 (tptp.c_List_Olist_OCons @t417 @t580 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.75/1.09 (assume @p634 (forall (@list @t144 @t406 @t186) (or (not (= @t144 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t584 @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t584 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t584 (tptp.c_List_Oappend @t186 @t582 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.75/1.09 (assume @p635 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t595))) % 0.75/1.09 (assume @p636 (forall (@list @t144 @t406) (= @t584 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t584 @t580 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.75/1.09 (assume @p637 (forall @t121 (or (not (= @t528 (tptp.c_Lambda_OdB_OVar @t117))) @t119))) % 0.75/1.09 (assume @p638 (forall @t598 (or @t597 @t108))) % 0.75/1.09 (assume @p639 (forall @t598 (or @t597 @t578))) % 0.75/1.09 (assume @p640 (forall @t604 (or @t603 (= @t600 @t599)))) % 0.75/1.09 (assume @p641 (forall @t604 (or @t603 (= @t16 @t601)))) % 0.75/1.09 (assume @p642 (forall (@list @t144 @t406 @t440) (or (not (= @t584 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t440 @t580 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t584 @t440)))) % 0.75/1.09 (assume @p643 (forall (@list @t10 @t601 @t599) (not (= @t250 @t602)))) % 0.75/1.09 (assume @p644 (forall @t609 (or @t608 (= @t519 @t605)))) % 0.75/1.09 (assume @p645 (forall @t609 (or @t608 (= @t518 @t606)))) % 0.75/1.09 (assume @p646 (forall @t611 (or @t610 (= @t596 @t406)))) % 0.75/1.09 (assume @p647 (forall (@list @t118 @t605 @t606) (not (= @t528 @t607)))) % 0.75/1.09 (assume @p648 (forall (@list @t152 @t16 @t239 @t10) (= (tptp.c_List_Ofoldl @t152 @t16 @t501 @t10 @t239) @t16))) % 0.75/1.09 (assume @p649 (forall (@list @t406 @t440 @t41) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t525 @t440)) @t41) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t560 @t41)) @t559)))) % 0.75/1.09 (assume @p650 (forall @t326 (= @t596 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t596 @t580 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.75/1.09 (assume @p651 (forall (@list @t152 @t16 @t22 @t109 @t239 @t10) (= (tptp.c_List_Ofoldl @t152 @t16 @t493 @t10 @t239) (tptp.c_List_Ofoldl @t152 (tptp.hAPP (tptp.hAPP @t152 @t16) @t22) @t109 @t10 @t239)))) % 0.75/1.09 (assume @p652 (forall @t246 (not (= @t244 @t250)))) % 0.75/1.09 (assume @p653 (forall (@list @t601 @t599 @t10) (not (= @t602 @t250)))) % 0.75/1.09 (assume @p654 (forall (@list @t144 @t454 @t406) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t144 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t406 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t575))) % 0.75/1.09 (assume @p655 (forall (@list @t22 @t440 @t10) (not (= (tptp.c_List_Olist_OCons @t22 @t440 @t10) @t440)))) % 0.75/1.09 (assume @p656 (forall @t497 (not (= @t109 @t184)))) % 0.75/1.09 (assume @p657 (forall @t611 (or @t610 @t590))) % 0.75/1.09 (assume @p658 (forall (@list @t605 @t606 @t118) (not (= @t607 @t528)))) % 0.75/1.09 (assume @p659 @t614) % 0.75/1.09 (assume @p660 (forall @t618 (or (tptp.class_Orderings_Opreorder @t617) (not (tptp.class_Orderings_Opreorder @t615))))) % 0.75/1.09 (assume @p661 (forall @t618 (or (tptp.class_Orderings_Oorder @t617) (not (tptp.class_Orderings_Oorder @t615))))) % 0.75/1.09 (assume @p662 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.75/1.09 (assume @p663 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.75/1.09 (assume @p664 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.75/1.09 (assume @p665 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.75/1.09 (assume @p666 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.75/1.09 (assume @p667 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.75/1.09 (assume @p668 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.75/1.09 (assume @p669 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.75/1.09 (assume @p670 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.75/1.09 (assume @p671 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.75/1.09 (assume @p672 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.75/1.09 (assume @p673 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.75/1.09 (assume @p674 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.75/1.09 (assume @p675 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.75/1.09 (assume @p676 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.75/1.09 (assume @p677 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.75/1.09 (assume @p678 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.75/1.09 (assume @p679 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.75/1.09 (assume @p680 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.75/1.09 (assume @p681 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.75/1.09 (assume @p682 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.75/1.09 (assume @p683 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.75/1.09 (assume @p684 (tptp.class_Power_Opower tptp.tc_nat)) % 0.75/1.09 (assume @p685 (tptp.class_Int_Onumber tptp.tc_nat)) % 0.75/1.09 (assume @p686 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.75/1.09 (assume @p687 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.75/1.09 (assume @p688 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p689 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p690 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p691 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p692 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p693 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p694 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p695 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p696 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p697 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p698 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p699 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p700 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p701 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p702 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p703 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p704 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p705 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p706 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p707 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p708 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p709 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p710 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p711 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p712 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p713 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p714 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p715 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p716 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p717 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p718 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p719 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p720 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p721 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 0.75/1.09 (assume @p722 (forall @t511 (tptp.c_fequal @t22 @t22 @t10))) % 0.75/1.09 (assume @p723 (forall (@list @t620 @t619 @t10) (or (= @t620 @t619) (not (tptp.c_fequal @t620 @t619 @t10))))) % 0.75/1.09 (step @p724 :rule instantiate :premises (@p636) :args ((@list @t594 @t593))) % 0.75/1.09 (step @p725 :rule instantiate :premises (@p651) :args ((@list tptp.c_Lambda_OdB_OApp @t594 @t593 @t580 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.75/1.09 (step @p726 :rule refl :args (@t623)) % 0.75/1.09 (step @p727 :rule refl :args (@t625)) % 0.75/1.09 (step @p728 :rule bool-double-not-elim :args (@t613)) % 0.75/1.09 (step @p729 :rule nary_cong :premises (@p728 @p727 @p726) :args ((or (not @t614) @t625 @t623))) % 0.75/1.09 (assume-push @p746 @t614) % 0.75/1.09 (assume-push @p747 @t624) % 0.75/1.09 (step @p732 :rule false_intro :premises (@p659)) % 0.75/1.09 (step @p733 :rule symm :premises (@p724)) % 0.75/1.09 (step @p734 :rule refl :args (@t595)) % 0.75/1.09 (step @p735 :rule cong :premises (@p734 @p733) :args (@t622)) % 0.75/1.09 (step @p736 :rule trans :premises (@p735 @p732)) % 0.75/1.09 (step @p737 :rule false_elim :premises (@p736)) % 0.75/1.09 (step-pop @p748 :rule scope :premises (@p737)) % 0.75/1.09 (step-pop @p749 :rule scope :premises (@p748)) % 0.75/1.09 (step @p738 :rule process_scope :premises (@p749) :args (@t623)) % 0.75/1.09 (step @p741 :rule implies_elim :premises (@p738)) % 0.75/1.09 (step @p742 :rule cnf_and_neg :args (@t626)) % 0.75/1.09 (step @p743 :rule resolution :premises (@p742 @p741) :args (true @t626)) % 0.75/1.09 (step @p744 :rule eq_resolve :premises (@p743 @p729)) % 0.75/1.09 (step @p745 false :rule chain_m_resolution :premises (@p744 @p725 @p724 @p659) :args (false (@list false false true) (@list @t622 @t624 @t613))) % 0.75/1.09 ) % 0.75/1.10 % SZS output end Proof % 0.75/1.10 % cvc5 exiting %------------------------------------------------------------------------------