%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL816-1 : 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 : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:56 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.75s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL816-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n017.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 10:42:21 UTC 2026 % 0.11/0.37 % CPUTime : % 0.30/0.58 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.75 % SZS status Unsatisfiable % 0.34/0.75 % SZS output start Proof % 0.34/0.77 ( % 0.34/0.77 (declare-sort $$unsorted 0) % 0.34/0.77 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.v_T_H____ $$unsorted) % 0.34/0.77 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.34/0.77 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.34/0.77 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.v_i____ $$unsorted) % 0.34/0.77 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.34/0.77 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.v_Ts____ $$unsorted) % 0.34/0.77 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.v_T____ $$unsorted) % 0.34/0.77 (declare-const tptp.v_rs____ $$unsorted) % 0.34/0.77 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.tc_nat $$unsorted) % 0.34/0.77 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_OrderedGroup_Oab__semigroup__add (-> $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.t_a $$unsorted) % 0.34/0.77 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.34/0.77 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.v_e____ $$unsorted) % 0.34/0.77 (declare-const tptp.v_as____ $$unsorted) % 0.34/0.77 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.34/0.77 (declare-const tptp.v_n____ $$unsorted) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.34/0.77 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.34/0.77 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.v_a____ $$unsorted) % 0.34/0.77 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.v_u____ $$unsorted) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.77 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.34/0.77 (define @t1 () (@var "T_a" $$unsorted)) % 0.34/0.77 (define @t2 () (@var "V_xs" $$unsorted)) % 0.34/0.77 (define @t3 () (@var "V_ys" $$unsorted)) % 0.34/0.77 (define @t4 () (@var "V_r" $$unsorted)) % 0.34/0.77 (define @t5 () (tptp.c_ListOrder_Ostep1 @t4 @t3 @t2 @t1)) % 0.34/0.77 (define @t6 () (not @t5)) % 0.34/0.77 (define @t7 () (@var "V_x" $$unsorted)) % 0.34/0.77 (define @t8 () (tptp.c_List_Olist_OCons @t7 @t2 @t1)) % 0.34/0.77 (define @t9 () (@var "V_a" $$unsorted)) % 0.34/0.77 (define @t10 () (@var "V_b" $$unsorted)) % 0.34/0.77 (define @t11 () (not (tptp.c_lessequals @t10 @t9 @t1))) % 0.34/0.77 (define @t12 () (= @t9 @t10)) % 0.34/0.77 (define @t13 () (tptp.c_HOL_Oord__class_Oless @t10 @t9 @t1)) % 0.34/0.77 (define @t14 () (not (tptp.class_Orderings_Oorder @t1))) % 0.34/0.77 (define @t15 () (@list @t1 @t10 @t9)) % 0.34/0.77 (define @t16 () (@var "V_y" $$unsorted)) % 0.34/0.77 (define @t17 () (tptp.c_lessequals @t7 @t16 @t1)) % 0.34/0.77 (define @t18 () (not @t17)) % 0.34/0.77 (define @t19 () (tptp.c_HOL_Oord__class_Oless @t7 @t16 @t1)) % 0.34/0.77 (define @t20 () (= @t7 @t16)) % 0.34/0.77 (define @t21 () (@list @t1 @t7 @t16)) % 0.34/0.77 (define @t22 () (tptp.c_lessequals @t9 @t10 @t1)) % 0.34/0.77 (define @t23 () (not @t22)) % 0.34/0.77 (define @t24 () (tptp.c_HOL_Oord__class_Oless @t9 @t10 @t1)) % 0.34/0.77 (define @t25 () (@list @t1 @t9 @t10)) % 0.34/0.77 (define @t26 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.34/0.77 (define @t27 () (tptp.c_lessequals @t16 @t7 @t1)) % 0.34/0.77 (define @t28 () (@list @t1 @t16 @t7)) % 0.34/0.77 (define @t29 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.34/0.77 (define @t30 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.34/0.77 (define @t31 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.34/0.77 (define @t32 () (@list @t1)) % 0.34/0.77 (define @t33 () (tptp.c_lessequals @t29 @t9 @t1)) % 0.34/0.77 (define @t34 () (not @t33)) % 0.34/0.77 (define @t35 () (not (tptp.c_lessequals @t29 @t10 @t1))) % 0.34/0.77 (define @t36 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.34/0.77 (define @t37 () (tptp.hAPP @t36 @t9)) % 0.34/0.77 (define @t38 () (tptp.hAPP @t37 @t10)) % 0.34/0.77 (define @t39 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.34/0.77 (define @t40 () (tptp.hAPP @t36 @t29)) % 0.34/0.77 (define @t41 () (= (tptp.hAPP @t40 @t29) @t29)) % 0.34/0.77 (define @t42 () (not (tptp.c_lessequals @t29 @t29 @t1))) % 0.34/0.77 (define @t43 () (tptp.hAPP @t37 @t9)) % 0.34/0.77 (define @t44 () (tptp.c_lessequals @t29 @t43 @t1)) % 0.34/0.77 (define @t45 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.34/0.77 (define @t46 () (@list @t1 @t9)) % 0.34/0.77 (define @t47 () (@var "V_c" $$unsorted)) % 0.34/0.77 (define @t48 () (not (tptp.c_lessequals @t10 @t47 @t1))) % 0.34/0.77 (define @t49 () (tptp.hAPP @t37 @t47)) % 0.34/0.77 (define @t50 () (tptp.c_lessequals @t10 @t49 @t1)) % 0.34/0.77 (define @t51 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.34/0.77 (define @t52 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.34/0.77 (define @t53 () (@list @t1 @t10 @t9 @t47)) % 0.34/0.77 (define @t54 () (not (tptp.c_lessequals @t29 @t7 @t1))) % 0.34/0.77 (define @t55 () (not (tptp.c_lessequals @t29 @t16 @t1))) % 0.34/0.77 (define @t56 () (tptp.hAPP @t36 @t7)) % 0.34/0.77 (define @t57 () (tptp.hAPP @t56 @t16)) % 0.34/0.77 (define @t58 () (not (= @t57 @t29))) % 0.34/0.77 (define @t59 () (tptp.c_lessequals @t9 @t29 @t1)) % 0.34/0.77 (define @t60 () (not @t59)) % 0.34/0.77 (define @t61 () (tptp.c_lessequals @t43 @t29 @t1)) % 0.34/0.77 (define @t62 () (not (tptp.c_lessequals @t10 @t29 @t1))) % 0.34/0.77 (define @t63 () (not @t24)) % 0.34/0.77 (define @t64 () (@var "V_d" $$unsorted)) % 0.34/0.77 (define @t65 () (not (tptp.c_lessequals @t47 @t64 @t1))) % 0.34/0.77 (define @t66 () (tptp.hAPP @t36 @t10)) % 0.34/0.77 (define @t67 () (tptp.hAPP @t66 @t64)) % 0.34/0.77 (define @t68 () (tptp.c_HOL_Oord__class_Oless @t49 @t67 @t1)) % 0.34/0.77 (define @t69 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.34/0.77 (define @t70 () (@list @t1 @t9 @t47 @t10 @t64)) % 0.34/0.77 (define @t71 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t64 @t1))) % 0.34/0.77 (define @t72 () (@var "V_m" $$unsorted)) % 0.34/0.77 (define @t73 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t72 @t1)) % 0.34/0.77 (define @t74 () (@list @t1 @t72)) % 0.34/0.77 (define @t75 () (@var "V_n" $$unsorted)) % 0.34/0.77 (define @t76 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t75 @t1)) % 0.34/0.77 (define @t77 () (@list @t1 @t75)) % 0.34/0.77 (define @t78 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.34/0.77 (define @t79 () (tptp.c_HOL_Oord__class_Oless @t78 @t72 tptp.tc_nat)) % 0.34/0.77 (define @t80 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.34/0.77 (define @t81 () (tptp.hAPP @t80 @t72)) % 0.34/0.77 (define @t82 () (tptp.hAPP @t81 @t75)) % 0.34/0.77 (define @t83 () (tptp.c_HOL_Oord__class_Oless @t78 @t82 tptp.tc_nat)) % 0.34/0.77 (define @t84 () (@list @t72 @t75)) % 0.34/0.77 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t78 @t75 tptp.tc_nat)) % 0.34/0.77 (define @t86 () (not @t85)) % 0.34/0.77 (define @t87 () (@list @t75 @t72)) % 0.34/0.77 (define @t88 () (tptp.c_Power_Opower__class_Opower @t10 @t75 @t1)) % 0.34/0.77 (define @t89 () (tptp.c_Power_Opower__class_Opower @t9 @t75 @t1)) % 0.34/0.77 (define @t90 () (@list @t1 @t9 @t75 @t10)) % 0.34/0.77 (define @t91 () (@list @t1 @t9 @t75)) % 0.34/0.77 (define @t92 () (tptp.c_Suc @t78)) % 0.34/0.77 (define @t93 () (= @t72 @t92)) % 0.34/0.77 (define @t94 () (= @t72 @t78)) % 0.34/0.77 (define @t95 () (not (= @t82 @t92))) % 0.34/0.77 (define @t96 () (= @t75 @t78)) % 0.34/0.77 (define @t97 () (= @t75 @t92)) % 0.34/0.77 (define @t98 () (not (= @t92 @t82))) % 0.34/0.77 (define @t99 () (tptp.hAPP @t80 @t78)) % 0.34/0.77 (define @t100 () (tptp.hAPP @t99 @t92)) % 0.34/0.77 (define @t101 () (tptp.hAPP (tptp.hAPP @t80 @t92) @t78)) % 0.34/0.77 (define @t102 () (= @t72 @t75)) % 0.34/0.77 (define @t103 () (not (tptp.c_HOL_Oord__class_Oless @t30 @t9 @t1))) % 0.34/0.77 (define @t104 () (tptp.c_Power_Opower__class_Opower @t9 @t72 @t1)) % 0.34/0.77 (define @t105 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.34/0.77 (define @t106 () (@list @t1 @t72 @t75)) % 0.34/0.77 (define @t107 () (@var "V_i" $$unsorted)) % 0.34/0.77 (define @t108 () (tptp.hAPP @t80 @t107)) % 0.34/0.77 (define @t109 () (@list @t107 @t72)) % 0.34/0.77 (define @t110 () (tptp.c_Power_Opower__class_Opower @t9 @t78 @t1)) % 0.34/0.77 (define @t111 () (not (tptp.class_Power_Opower @t1))) % 0.34/0.77 (define @t112 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.34/0.77 (define @t113 () (@list @t1 @t7)) % 0.34/0.77 (define @t114 () (@var "V_k" $$unsorted)) % 0.34/0.77 (define @t115 () (tptp.c_HOL_Oord__class_Oless @t107 @t114 tptp.tc_nat)) % 0.34/0.77 (define @t116 () (not @t115)) % 0.34/0.77 (define @t117 () (tptp.c_Lambda_OdB_OVar @t107)) % 0.34/0.77 (define @t118 () (tptp.c_Lambda_Oliftn @t75 @t117 @t114)) % 0.34/0.77 (define @t119 () (@list @t75 @t107 @t114)) % 0.34/0.77 (define @t120 () (@var "V_t" $$unsorted)) % 0.34/0.77 (define @t121 () (tptp.c_Lambda_Oliftn @t75 @t120 @t114)) % 0.34/0.77 (define @t122 () (tptp.c_Suc @t75)) % 0.34/0.77 (define @t123 () (tptp.c_List_Olist_OCons @t16 @t3 @t1)) % 0.34/0.77 (define @t124 () (not (tptp.c_ListOrder_Ostep1 @t4 @t123 @t8 @t1))) % 0.34/0.77 (define @t125 () (tptp.hAPP @t4 @t16)) % 0.34/0.77 (define @t126 () (tptp.hBOOL (tptp.hAPP @t125 @t7))) % 0.34/0.77 (define @t127 () (@list @t4 @t3 @t2 @t1 @t16 @t7)) % 0.34/0.77 (define @t128 () (tptp.hAPP @t66 @t47)) % 0.34/0.77 (define @t129 () (not @t19)) % 0.34/0.77 (define @t130 () (@var "V_z" $$unsorted)) % 0.34/0.77 (define @t131 () (not (tptp.c_lessequals @t16 @t130 @t1))) % 0.34/0.77 (define @t132 () (tptp.c_HOL_Oord__class_Oless @t7 @t130 @t1)) % 0.34/0.77 (define @t133 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.34/0.77 (define @t134 () (@list @t1 @t7 @t130 @t16)) % 0.34/0.77 (define @t135 () (not (tptp.c_HOL_Oord__class_Oless @t16 @t130 @t1))) % 0.34/0.77 (define @t136 () (tptp.c_lessequals @t7 @t7 @t1)) % 0.34/0.77 (define @t137 () (not @t27)) % 0.34/0.77 (define @t138 () (not (tptp.c_HOL_Oord__class_Oless @t130 @t16 @t1))) % 0.34/0.77 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t130 @t7 @t1)) % 0.34/0.77 (define @t140 () (@list @t1 @t130 @t7 @t16)) % 0.34/0.77 (define @t141 () (tptp.c_HOL_Oord__class_Oless @t16 @t7 @t1)) % 0.34/0.77 (define @t142 () (not @t141)) % 0.34/0.77 (define @t143 () (not (tptp.c_lessequals @t130 @t16 @t1))) % 0.34/0.77 (define @t144 () (tptp.c_HOL_Oord__class_Oless @t72 @t75 tptp.tc_nat)) % 0.34/0.77 (define @t145 () (not @t144)) % 0.34/0.77 (define @t146 () (tptp.hAPP @t80 @t114)) % 0.34/0.77 (define @t147 () (tptp.hAPP @t146 @t75)) % 0.34/0.77 (define @t148 () (tptp.hAPP @t146 @t72)) % 0.34/0.77 (define @t149 () (tptp.c_HOL_Oord__class_Oless @t148 @t147 tptp.tc_nat)) % 0.34/0.77 (define @t150 () (@list @t114 @t72 @t75)) % 0.34/0.77 (define @t151 () (@list @t72 @t75 @t114)) % 0.34/0.77 (define @t152 () (@var "V_j" $$unsorted)) % 0.34/0.77 (define @t153 () (not (tptp.c_HOL_Oord__class_Oless @t107 @t152 tptp.tc_nat))) % 0.34/0.77 (define @t154 () (tptp.hAPP @t80 @t152)) % 0.34/0.77 (define @t155 () (tptp.hAPP @t108 @t114)) % 0.34/0.77 (define @t156 () (@list @t107 @t114 @t152)) % 0.34/0.77 (define @t157 () (tptp.hAPP @t108 @t152)) % 0.34/0.77 (define @t158 () (tptp.hAPP @t36 @t47)) % 0.34/0.77 (define @t159 () (tptp.hAPP @t158 @t10)) % 0.34/0.77 (define @t160 () (tptp.hAPP @t158 @t9)) % 0.34/0.77 (define @t161 () (tptp.c_lessequals @t160 @t159 @t1)) % 0.34/0.77 (define @t162 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.34/0.77 (define @t163 () (@list @t1 @t47 @t9 @t10)) % 0.34/0.77 (define @t164 () (tptp.c_lessequals @t49 @t128 @t1)) % 0.34/0.77 (define @t165 () (@list @t1 @t9 @t47 @t10)) % 0.34/0.77 (define @t166 () (@list @t1 @t9 @t10 @t47)) % 0.34/0.77 (define @t167 () (@var "V_l" $$unsorted)) % 0.34/0.77 (define @t168 () (not (tptp.c_HOL_Oord__class_Oless @t114 @t167 tptp.tc_nat))) % 0.34/0.77 (define @t169 () (= @t2 @t3)) % 0.34/0.77 (define @t170 () (tptp.c_List_Olist_ONil @t1)) % 0.34/0.77 (define @t171 () (tptp.hAPP @t80 @t75)) % 0.34/0.77 (define @t172 () (tptp.hAPP @t80 @t16)) % 0.34/0.77 (define @t173 () (tptp.hAPP @t172 @t130)) % 0.34/0.77 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t7 @t173 tptp.tc_nat)) % 0.34/0.77 (define @t175 () (@list @t7 @t16 @t130)) % 0.34/0.77 (define @t176 () (tptp.c_HOL_Oord__class_Oless @t7 @t16 tptp.tc_nat)) % 0.34/0.77 (define @t177 () (not @t176)) % 0.34/0.77 (define @t178 () (tptp.c_Suc @t82)) % 0.34/0.77 (define @t179 () (tptp.c_Suc @t72)) % 0.34/0.77 (define @t180 () (tptp.hAPP (tptp.hAPP @t80 @t179) @t75)) % 0.34/0.77 (define @t181 () (tptp.hAPP @t81 @t122)) % 0.34/0.77 (define @t182 () (@var "V_xa" $$unsorted)) % 0.34/0.77 (define @t183 () (@var "V_us" $$unsorted)) % 0.34/0.77 (define @t184 () (@var "V_vs" $$unsorted)) % 0.34/0.77 (define @t185 () (tptp.c_List_Oappend @t2 @t7 @t1)) % 0.34/0.77 (define @t186 () (tptp.hAPP @t80 @t7)) % 0.34/0.77 (define @t187 () (tptp.hAPP @t186 @t130)) % 0.34/0.77 (define @t188 () (tptp.hAPP @t171 @t114)) % 0.34/0.77 (define @t189 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 @t1)) % 0.34/0.77 (define @t190 () (not @t189)) % 0.34/0.77 (define @t191 () (= @t16 @t130)) % 0.34/0.77 (define @t192 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.34/0.77 (define @t193 () (not (= @t82 @t78))) % 0.34/0.77 (define @t194 () (@list @t7)) % 0.34/0.77 (define @t195 () (@list @t75)) % 0.34/0.77 (define @t196 () (@list @t72)) % 0.34/0.77 (define @t197 () (@var "V_s" $$unsorted)) % 0.34/0.77 (define @t198 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t197)) % 0.34/0.77 (define @t199 () (tptp.hAPP @t198 @t120)) % 0.34/0.77 (define @t200 () (tptp.c_HOL_Oord__class_Oless @t9 @t29 @t1)) % 0.34/0.77 (define @t201 () (not @t200)) % 0.34/0.77 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t38 @t29 @t1)) % 0.34/0.77 (define @t203 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t29 @t1))) % 0.34/0.77 (define @t204 () (tptp.c_HOL_Oord__class_Oless @t29 @t9 @t1)) % 0.34/0.77 (define @t205 () (not @t204)) % 0.34/0.77 (define @t206 () (tptp.c_HOL_Oord__class_Oless @t10 @t49 @t1)) % 0.34/0.77 (define @t207 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t47 @t1))) % 0.34/0.77 (define @t208 () (not (tptp.c_HOL_Oord__class_Oless @t29 @t10 @t1))) % 0.34/0.77 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t29 @t38 @t1)) % 0.34/0.77 (define @t210 () (tptp.hAPP @t36 @t30)) % 0.34/0.77 (define @t211 () (tptp.c_HOL_Oord__class_Oless @t89 @t88 @t1)) % 0.34/0.77 (define @t212 () (@list @t1 @t9 @t10 @t75)) % 0.34/0.77 (define @t213 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.34/0.77 (define @t214 () (@var "V_N" $$unsorted)) % 0.34/0.77 (define @t215 () (not (tptp.c_HOL_Oord__class_Oless @t75 @t214 tptp.tc_nat))) % 0.34/0.77 (define @t216 () (tptp.c_Power_Opower__class_Opower @t9 @t214 @t1)) % 0.34/0.77 (define @t217 () (not (tptp.c_HOL_Oord__class_Oless @t30 @t10 @t1))) % 0.34/0.77 (define @t218 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t10 @t7 @t1) (tptp.c_Power_Opower__class_Opower @t10 @t16 @t1) @t1)) % 0.34/0.77 (define @t219 () (tptp.c_Power_Opower__class_Opower @t10 @t122 @t1)) % 0.34/0.77 (define @t220 () (tptp.c_Power_Opower__class_Opower @t9 @t122 @t1)) % 0.34/0.77 (define @t221 () (tptp.c_List_Olist_OCons @t7 @t170 @t1)) % 0.34/0.77 (define @t222 () (tptp.c_List_Oappend @t2 @t221 @t1)) % 0.34/0.77 (define @t223 () (tptp.c_List_Olist_OCons @t16 @t170 @t1)) % 0.34/0.77 (define @t224 () (tptp.c_List_Oappend @t3 @t223 @t1)) % 0.34/0.77 (define @t225 () (not (tptp.c_ListOrder_Ostep1 @t4 @t224 @t222 @t1))) % 0.34/0.77 (define @t226 () (= @t16 @t7)) % 0.34/0.77 (define @t227 () (= @t3 @t2)) % 0.34/0.77 (define @t228 () (@var "V_ss" $$unsorted)) % 0.34/0.77 (define @t229 () (@var "V_rs" $$unsorted)) % 0.34/0.77 (define @t230 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t231 () (tptp.hAPP tptp.c_Lambda_Osubst @t120)) % 0.34/0.77 (define @t232 () (tptp.hAPP @t56 @t130)) % 0.34/0.77 (define @t233 () (tptp.hAPP @t36 @t16)) % 0.34/0.77 (define @t234 () (tptp.hAPP @t56 (tptp.hAPP @t233 @t130))) % 0.34/0.77 (define @t235 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.34/0.77 (define @t236 () (@list @t1 @t7 @t16 @t130)) % 0.34/0.77 (define @t237 () (= @t2 @t221)) % 0.34/0.77 (define @t238 () (tptp.c_List_Orev @t2 @t1)) % 0.34/0.77 (define @t239 () (tptp.c_List_Oappend @t2 @t3 @t1)) % 0.34/0.77 (define @t240 () (@var "V_A" $$unsorted)) % 0.34/0.77 (define @t241 () (tptp.c_List_Olistsp @t240 @t239 @t1)) % 0.34/0.77 (define @t242 () (not @t241)) % 0.34/0.77 (define @t243 () (tptp.c_List_Olistsp @t240 @t2 @t1)) % 0.34/0.77 (define @t244 () (tptp.c_List_Olistsp @t240 @t3 @t1)) % 0.34/0.77 (define @t245 () (@var "V_v" $$unsorted)) % 0.34/0.77 (define @t246 () (tptp.c_Lambda_OdB_OVar @t75)) % 0.34/0.77 (define @t247 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t246 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t248 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t247) @t245)))) % 0.34/0.77 (define @t249 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t75 @t229 @t245)) % 0.34/0.77 (define @t250 () (@var "V_dB" $$unsorted)) % 0.34/0.77 (define @t251 () (tptp.c_Lambda_OdB_OAbs @t250)) % 0.34/0.77 (define @t252 () (@list @t250)) % 0.34/0.77 (define @t253 () (@var "V_dB2" $$unsorted)) % 0.34/0.77 (define @t254 () (@var "V_dB1" $$unsorted)) % 0.34/0.77 (define @t255 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t254) @t253)) % 0.34/0.77 (define @t256 () (@list @t254 @t253)) % 0.34/0.77 (define @t257 () (tptp.c_Lambda_OdB_OVar @t7)) % 0.34/0.77 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 tptp.tc_nat)) % 0.34/0.77 (define @t259 () (@list @t7 @t197)) % 0.34/0.77 (define @t260 () (not (tptp.c_HOL_Oord__class_Oless @t9 @t30 @t1))) % 0.34/0.77 (define @t261 () (tptp.hAPP @t37 @t128)) % 0.34/0.77 (define @t262 () (tptp.hAPP @t36 @t38)) % 0.34/0.77 (define @t263 () (tptp.hAPP @t262 @t47)) % 0.34/0.77 (define @t264 () (= @t263 @t261)) % 0.34/0.77 (define @t265 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.34/0.77 (define @t266 () (tptp.hAPP @t36 @t49)) % 0.34/0.77 (define @t267 () (tptp.hAPP @t158 @t64)) % 0.34/0.77 (define @t268 () (tptp.hAPP @t37 @t267)) % 0.34/0.77 (define @t269 () (@list @t1 @t9 @t47 @t64)) % 0.34/0.77 (define @t270 () (@var "V_u" $$unsorted)) % 0.34/0.77 (define @t271 () (@list @t7 @t2 @t1)) % 0.34/0.77 (define @t272 () (tptp.c_Suc @t7)) % 0.34/0.77 (define @t273 () (tptp.c_List_Orev @t221 @t1)) % 0.34/0.77 (define @t274 () (@list @t7 @t1)) % 0.34/0.77 (define @t275 () (tptp.c_List_Orev @t3 @t1)) % 0.34/0.77 (define @t276 () (tptp.c_List_Oappend @t275 @t223 @t1)) % 0.34/0.77 (define @t277 () (@var "V_zs" $$unsorted)) % 0.34/0.77 (define @t278 () (tptp.c_List_Olist_OCons @t7 (tptp.c_List_Oappend @t182 @t277 @t1) @t1)) % 0.34/0.77 (define @t279 () (tptp.c_List_Olist_OCons @t7 @t182 @t1)) % 0.34/0.77 (define @t280 () (tptp.c_List_Oappend @t279 @t277 @t1)) % 0.34/0.77 (define @t281 () (tptp.c_HOL_Oord__class_Oless @t179 @t75 tptp.tc_nat)) % 0.34/0.77 (define @t282 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.34/0.77 (define @t283 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.34/0.77 (define @t284 () (= @t10 @t47)) % 0.34/0.77 (define @t285 () (not (= @t38 @t49))) % 0.34/0.77 (define @t286 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.34/0.77 (define @t287 () (tptp.hAPP @t66 @t9)) % 0.34/0.77 (define @t288 () (@var "V_xs1" $$unsorted)) % 0.34/0.77 (define @t289 () (@var "V_list_H" $$unsorted)) % 0.34/0.77 (define @t290 () (@var "V_a_H" $$unsorted)) % 0.34/0.77 (define @t291 () (tptp.c_List_Olist_OCons @t290 @t289 @t1)) % 0.34/0.77 (define @t292 () (@var "V_xc" $$unsorted)) % 0.34/0.77 (define @t293 () (@var "V_f1" $$unsorted)) % 0.34/0.77 (define @t294 () (@var "V_P" $$unsorted)) % 0.34/0.77 (define @t295 () (@var "V_f2" $$unsorted)) % 0.34/0.77 (define @t296 () (@var "V_nat" $$unsorted)) % 0.34/0.77 (define @t297 () (tptp.hAPP @t293 @t296)) % 0.34/0.77 (define @t298 () (tptp.c_Type_Otype_OAtom @t296)) % 0.34/0.77 (define @t299 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t4)))) % 0.34/0.77 (define @t300 () (tptp.c_Lambda_OdB_OAbs @t4)) % 0.34/0.77 (define @t301 () (@list @t4)) % 0.34/0.77 (define @t302 () (= @t2 @t170)) % 0.34/0.77 (define @t303 () (@list @t2 @t1)) % 0.34/0.77 (define @t304 () (tptp.c_HOL_Oord__class_Oless @t7 @t272 tptp.tc_nat)) % 0.34/0.77 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t75 @t179 tptp.tc_nat)) % 0.34/0.77 (define @t306 () (not @t305)) % 0.34/0.77 (define @t307 () (tptp.c_List_Oappend @t170 @t8 @t1)) % 0.34/0.77 (define @t308 () (tptp.c_List_Oappend @t170 @t170 @t1)) % 0.34/0.77 (define @t309 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t197) @t120)))) % 0.34/0.77 (define @t310 () (tptp.c_Lambda_OdB_OAbs @t120)) % 0.34/0.77 (define @t311 () (tptp.c_Lambda_OdB_OAbs @t197)) % 0.34/0.77 (define @t312 () (@list @t197 @t120)) % 0.34/0.77 (define @t313 () (tptp.c_List_Orev @t170 @t1)) % 0.34/0.77 (define @t314 () (@list @t2 @t3 @t1)) % 0.34/0.77 (define @t315 () (@list @t293 @t295 @t296 @t1)) % 0.34/0.77 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t179 @t122 tptp.tc_nat)) % 0.34/0.77 (define @t317 () (tptp.c_HOL_Oord__class_Oless @t29 @t43 @t1)) % 0.34/0.77 (define @t318 () (= @t9 @t29)) % 0.34/0.77 (define @t319 () (not (= @t89 @t29))) % 0.34/0.77 (define @t320 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.34/0.77 (define @t321 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.34/0.77 (define @t322 () (= (tptp.hAPP @t40 @t9) @t9)) % 0.34/0.77 (define @t323 () (= (tptp.hAPP @t37 @t29) @t9)) % 0.34/0.77 (define @t324 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.34/0.77 (define @t325 () (@var "V_nat_H" $$unsorted)) % 0.34/0.77 (define @t326 () (tptp.c_Suc @t325)) % 0.34/0.77 (define @t327 () (@list @t325)) % 0.34/0.77 (define @t328 () (@var "V_dB_H" $$unsorted)) % 0.34/0.77 (define @t329 () (tptp.c_Lambda_OdB_OAbs @t328)) % 0.34/0.77 (define @t330 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t270)) % 0.34/0.77 (define @t331 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t120)) % 0.34/0.77 (define @t332 () (tptp.hAPP @t331 @t270)) % 0.34/0.77 (define @t333 () (@list @t120 @t270 @t197 @t114)) % 0.34/0.77 (define @t334 () (@var "T_b" $$unsorted)) % 0.34/0.77 (define @t335 () (tptp.c_List_Olist_ONil @t334)) % 0.34/0.77 (define @t336 () (= @t2 @t335)) % 0.34/0.77 (define @t337 () (@var "V_f" $$unsorted)) % 0.34/0.77 (define @t338 () (tptp.c_List_Omap @t337 @t2 @t334 @t1)) % 0.34/0.77 (define @t339 () (@list @t337 @t2 @t334 @t1)) % 0.34/0.77 (define @t340 () (tptp.c_List_Oappend @t2 @t3 @t334)) % 0.34/0.77 (define @t341 () (tptp.c_List_Orev @t2 @t334)) % 0.34/0.77 (define @t342 () (tptp.c_List_Omap @t337 @t335 @t334 @t1)) % 0.34/0.77 (define @t343 () (@var "T_c" $$unsorted)) % 0.34/0.77 (define @t344 () (@var "V_g" $$unsorted)) % 0.34/0.77 (define @t345 () (tptp.c_Fun_Ocomp @t337 @t344 @t334 @t1 @t343)) % 0.34/0.77 (define @t346 () (tptp.hAPP @t337 @t7)) % 0.34/0.77 (define @t347 () (@var "V_xb" $$unsorted)) % 0.34/0.77 (define @t348 () (tptp.c_List_Olist_OCons @t7 @t2 @t334)) % 0.34/0.77 (define @t349 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t350 () (= @t228 @t349)) % 0.34/0.77 (define @t351 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t197 @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t352 () (not (= @t300 @t351))) % 0.34/0.77 (define @t353 () (@list @t4 @t197 @t228)) % 0.34/0.77 (define @t354 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t300 @t349 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t355 () (not (= @t351 @t300))) % 0.34/0.77 (define @t356 () (@list @t197 @t228 @t4)) % 0.34/0.77 (define @t357 () (tptp.c_List_Ofoldl @t337 @t9 @t2 @t1 @t334)) % 0.34/0.77 (define @t358 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t4) @t197)))) % 0.34/0.77 (define @t359 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t197) @t120)) % 0.34/0.77 (define @t360 () (tptp.hAPP tptp.c_Lambda_Osubst @t4)) % 0.34/0.77 (define @t361 () (tptp.c_Lambda_OdB_OVar @t296)) % 0.34/0.77 (define @t362 () (@var "V_T" $$unsorted)) % 0.34/0.77 (define @t363 () (@var "V_e" $$unsorted)) % 0.34/0.77 (define @t364 () (not (tptp.c_Type_Otyping @t363 @t120 @t362))) % 0.34/0.77 (define @t365 () (@var "V_t_H" $$unsorted)) % 0.34/0.77 (define @t366 () (@var "V_type2_H" $$unsorted)) % 0.34/0.77 (define @t367 () (@var "V_type1_H" $$unsorted)) % 0.34/0.77 (define @t368 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t367) @t366)) % 0.34/0.77 (define @t369 () (= @t3 @t277)) % 0.34/0.77 (define @t370 () (@list @t2 @t3 @t1 @t277)) % 0.34/0.77 (define @t371 () (tptp.c_List_Oappend @t2 @t170 @t1)) % 0.34/0.77 (define @t372 () (tptp.c_List_Oappend @t170 @t3 @t1)) % 0.34/0.77 (define @t373 () (@list @t3 @t1)) % 0.34/0.77 (define @t374 () (tptp.c_List_Orev @t238 @t1)) % 0.34/0.77 (define @t375 () (= @t296 @t325)) % 0.34/0.77 (define @t376 () (@list @t296 @t325)) % 0.34/0.77 (define @t377 () (tptp.hAPP @t337 (tptp.hAPP @t344 @t7))) % 0.34/0.77 (define @t378 () (tptp.hAPP @t345 @t7)) % 0.34/0.77 (define @t379 () (tptp.c_Fun_Ocomp @t9 @t10 @t343 @t334 @t1)) % 0.34/0.77 (define @t380 () (tptp.hAPP @t9 (tptp.hAPP @t10 @t245))) % 0.34/0.77 (define @t381 () (tptp.c_HOL_Oord__class_Oless @t43 @t29 @t1)) % 0.34/0.77 (define @t382 () (not @t381)) % 0.34/0.77 (define @t383 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.34/0.77 (define @t384 () (tptp.c_HOL_Oord__class_Oless @t114 @t107 tptp.tc_nat)) % 0.34/0.77 (define @t385 () (= @t107 @t114)) % 0.34/0.77 (define @t386 () (@list @t107 @t197 @t114)) % 0.34/0.77 (define @t387 () (not (= @t170 @t239))) % 0.34/0.77 (define @t388 () (@list @t1 @t2 @t3)) % 0.34/0.77 (define @t389 () (= @t3 @t170)) % 0.34/0.77 (define @t390 () (not (= @t239 @t170))) % 0.34/0.77 (define @t391 () (tptp.c_HOL_Oord__class_Oless @t72 @t122 tptp.tc_nat)) % 0.34/0.77 (define @t392 () (tptp.c_HOL_Oord__class_Oless @t75 @t72 tptp.tc_nat)) % 0.34/0.77 (define @t393 () (tptp.c_HOL_Oord__class_Oless @t73 @t76 @t1)) % 0.34/0.77 (define @t394 () (tptp.c_Suc @t107)) % 0.34/0.77 (define @t395 () (tptp.c_HOL_Oord__class_Oless @t29 @t76 @t1)) % 0.34/0.77 (define @t396 () (@var "T_d" $$unsorted)) % 0.34/0.77 (define @t397 () (@var "V_h" $$unsorted)) % 0.34/0.77 (define @t398 () (@list @t1 @t2)) % 0.34/0.77 (define @t399 () (tptp.c_HOL_Oord__class_Oless @t49 @t128 @t1)) % 0.34/0.77 (define @t400 () (tptp.c_HOL_Oord__class_Oless @t160 @t159 @t1)) % 0.34/0.77 (define @t401 () (@var "V_list" $$unsorted)) % 0.34/0.77 (define @t402 () (not (= (tptp.c_List_Olist_OCons @t9 @t401 @t1) @t291))) % 0.34/0.77 (define @t403 () (@list @t9 @t401 @t1 @t290 @t289)) % 0.34/0.77 (define @t404 () (@var "V_x_H" $$unsorted)) % 0.34/0.77 (define @t405 () (@var "T_e" $$unsorted)) % 0.34/0.77 (define @t406 () (@var "V_g_H" $$unsorted)) % 0.34/0.77 (define @t407 () (@var "V_f_H" $$unsorted)) % 0.34/0.77 (define @t408 () (@var "V_plus" $$unsorted)) % 0.34/0.77 (define @t409 () (not (tptp.c_OrderedGroup_Oab__semigroup__add @t408 @t1))) % 0.34/0.77 (define @t410 () (tptp.hAPP @t408 @t10)) % 0.34/0.77 (define @t411 () (tptp.hAPP @t408 @t9)) % 0.34/0.77 (define @t412 () (tptp.hAPP @t411 (tptp.hAPP @t410 @t47))) % 0.34/0.77 (define @t413 () (tptp.hAPP @t411 @t10)) % 0.34/0.77 (define @t414 () (@list @t408 @t9 @t10 @t47 @t1)) % 0.34/0.77 (define @t415 () (not (= @t222 @t224))) % 0.34/0.77 (define @t416 () (@list @t2 @t7 @t1 @t3 @t16)) % 0.34/0.77 (define @t417 () (@var "V_ts" $$unsorted)) % 0.34/0.77 (define @t418 () (not @t13)) % 0.34/0.77 (define @t419 () (@var "V_type2" $$unsorted)) % 0.34/0.77 (define @t420 () (@var "V_type1" $$unsorted)) % 0.34/0.77 (define @t421 () (tptp.hAPP (tptp.hAPP @t295 @t420) @t419)) % 0.34/0.77 (define @t422 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t420) @t419)) % 0.34/0.77 (define @t423 () (@list @t293 @t295 @t420 @t419 @t1)) % 0.34/0.77 (define @t424 () (tptp.c_List_Ofoldr @t337 @t2 @t9 @t334 @t1)) % 0.34/0.77 (define @t425 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t120)))) % 0.34/0.77 (define @t426 () (tptp.hAPP tptp.c_Lambda_Olift @t120)) % 0.34/0.77 (define @t427 () (tptp.hAPP @t426 @t107)) % 0.34/0.77 (define @t428 () (@list @t120 @t107)) % 0.34/0.77 (define @t429 () (tptp.hAPP tptp.c_Lambda_Olift @t197)) % 0.34/0.77 (define @t430 () (not (tptp.c_HOL_Oord__class_Oless @t152 @t107 tptp.tc_nat))) % 0.34/0.77 (define @t431 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t311) @t120)) % 0.34/0.77 (define @t432 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t120 @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t433 () (tptp.c_Type_Otyping @t363 @t432 @t362)) % 0.34/0.77 (define @t434 () (not @t433)) % 0.34/0.77 (define @t435 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t362 @t363 @t120 @t417)) % 0.34/0.77 (define @t436 () (@list @t363 @t417 @t362 @t120)) % 0.34/0.77 (define @t437 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t362 @t363 @t120 @t417)) % 0.34/0.77 (define @t438 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.34/0.77 (define @t439 () (= (tptp.c_Power_Opower__class_Opower @t29 @t75 @t1) @t29)) % 0.34/0.77 (define @t440 () (tptp.hAPP @t231 @t197)) % 0.34/0.77 (define @t441 () (@list @t296)) % 0.34/0.77 (define @t442 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t4) @t197)) % 0.34/0.77 (define @t443 () (= @t4 @t197)) % 0.34/0.77 (define @t444 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t300 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t311 @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.77 (define @t445 () (@list @t4 @t229 @t197 @t228)) % 0.34/0.77 (define @t446 () (= @t229 @t228)) % 0.34/0.77 (define @t447 () (not (tptp.c_Type_Otyping @t363 @t332 @t362))) % 0.34/0.77 (define @t448 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t362 @t363 @t120 @t270)) % 0.34/0.77 (define @t449 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t117 @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t450 () (not (tptp.c_Type_Otyping @t363 @t449 @t362))) % 0.34/0.77 (define @t451 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t362 @t363 @t107 @t417)) % 0.34/0.77 (define @t452 () (not (tptp.c_Type_Otyping @t363 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t449 @t183 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t362))) % 0.34/0.77 (define @t453 () (@var "V_Ts" $$unsorted)) % 0.34/0.77 (define @t454 () (not (tptp.c_Type_Otypings @t363 @t417 @t453))) % 0.34/0.77 (define @t455 () (@var "V_U" $$unsorted)) % 0.34/0.77 (define @t456 () (not (tptp.c_Type_Otyping @t363 @t449 @t455))) % 0.34/0.77 (define @t457 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t362 @t455 @t363 @t183)) % 0.34/0.77 (define @t458 () (tptp.c_Lambda_OdB_OVar @t152)) % 0.34/0.77 (define @t459 () (tptp.c_List_Ofoldl @t36 @t9 @t2 @t1 @t1)) % 0.34/0.77 (define @t460 () (@var "V_Ta" $$unsorted)) % 0.34/0.77 (define @t461 () (@var "V_T2" $$unsorted)) % 0.34/0.77 (define @t462 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t270)))) % 0.34/0.77 (define @t463 () (tptp.hAPP (tptp.hAPP @t231 @t270) @t107)) % 0.34/0.77 (define @t464 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t463))) % 0.34/0.77 (define @t465 () (@var "V_T1" $$unsorted)) % 0.34/0.77 (define @t466 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t465) @t461)))) % 0.34/0.77 (define @t467 () (@list @t465 @t461 @t120 @t270 @t107 @t363 @t460)) % 0.34/0.77 (define @t468 () (tptp.c_COMBC tptp.c_Lambda_Olift tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t469 () (tptp.hAPP @t468 @t78)) % 0.34/0.77 (define @t470 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.34/0.77 (define @t471 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t470)) % 0.34/0.77 (define @t472 () (tptp.c_Lambda_OdB_OVar @t72)) % 0.34/0.77 (define @t473 () (not (= @t472 @t351))) % 0.34/0.77 (define @t474 () (@list @t72 @t197 @t228)) % 0.34/0.77 (define @t475 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t246 @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t476 () (tptp.c_List_Ofoldr @t36 @t2 @t29 @t1 @t1)) % 0.34/0.77 (define @t477 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.34/0.77 (define @t478 () (@var "V_env" $$unsorted)) % 0.34/0.77 (define @t479 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t362) @t455)) % 0.34/0.77 (define @t480 () (tptp.c_List_Omap (tptp.hAPP @t468 @t107) @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t481 () (tptp.c_Type_Oshift @t363 @t107 @t455 tptp.tc_Type_Otype)) % 0.34/0.77 (define @t482 () (@list @t363 @t120 @t362 @t417)) % 0.34/0.77 (define @t483 () (forall (@list @t363 @t120 @t417 @t362 @t453) (or @t433 @t454 (not (tptp.c_Type_Otyping @t363 @t120 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t453 @t362 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.34/0.77 (define @t484 () (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB))) % 0.34/0.77 (define @t485 () (tptp.c_List_Omap (tptp.hAPP (tptp.c_COMBC (tptp.hAPP @t484 @t270) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t107) @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t486 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t472 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t475))) % 0.34/0.77 (define @t487 () (@list @t72 @t229 @t75 @t228)) % 0.34/0.77 (define @t488 () (not (= @t422 @t368))) % 0.34/0.77 (define @t489 () (@list @t420 @t419 @t367 @t366)) % 0.34/0.77 (define @t490 () (@var "V_dB1_H" $$unsorted)) % 0.34/0.77 (define @t491 () (@var "V_dB2_H" $$unsorted)) % 0.34/0.77 (define @t492 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t490) @t491)) % 0.34/0.77 (define @t493 () (not (= @t255 @t492))) % 0.34/0.77 (define @t494 () (@list @t254 @t253 @t490 @t491)) % 0.34/0.77 (define @t495 () (tptp.hAPP @t426 @t114)) % 0.34/0.77 (define @t496 () (@var "V_Q" $$unsorted)) % 0.34/0.77 (define @t497 () (@var "V_R" $$unsorted)) % 0.34/0.77 (define @t498 () (@var "V_e_H" $$unsorted)) % 0.34/0.77 (define @t499 () (tptp.c_List_Omap @t469 (tptp.c_List_Omap (tptp.hAPP (tptp.c_COMBC (tptp.hAPP @t484 tptp.v_u____) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_i____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.34/0.77 (define @t500 () (tptp.c_Type_Oshift tptp.v_e____ @t78 @t470 tptp.tc_Type_Otype)) % 0.34/0.77 (define @t501 () (tptp.c_Type_Otypings @t500 @t499 tptp.v_Ts____)) % 0.34/0.77 (define @t502 () (tptp.c_Lambda_OdB_OVar @t78)) % 0.34/0.77 (define @t503 () (tptp.c_Type_Otyping @t500 @t502 @t470)) % 0.34/0.77 (define @t504 () (tptp.c_Type_Otyping @t500 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t502 @t499 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 0.34/0.77 (define @t505 () (@var "T_1" $$unsorted)) % 0.34/0.77 (define @t506 () (@var "T_2" $$unsorted)) % 0.34/0.77 (define @t507 () (tptp.tc_fun @t506 @t505)) % 0.34/0.77 (define @t508 () (@list @t506 @t505)) % 0.34/0.77 (define @t509 () (@var "V_Y" $$unsorted)) % 0.34/0.77 (define @t510 () (@var "V_X" $$unsorted)) % 0.34/0.77 (define @t511 () (not @t503)) % 0.34/0.77 (define @t512 () (not @t501)) % 0.34/0.77 (define @t513 () (or @t504 @t512 @t511)) % 0.34/0.77 (define @t514 () (not @t513)) % 0.34/0.77 (assume @p1 (forall (@list @t4 @t7 @t3 @t1 @t2) (or (tptp.c_ListOrder_Ostep1 @t4 (tptp.c_List_Olist_OCons @t7 @t3 @t1) @t8 @t1) @t6))) % 0.34/0.77 (assume @p2 (forall @t15 (or @t14 @t13 @t12 @t11))) % 0.34/0.77 (assume @p3 (forall @t15 (or @t14 @t13 @t11 @t12))) % 0.34/0.77 (assume @p4 (forall @t21 (or @t14 @t20 @t19 @t18))) % 0.34/0.77 (assume @p5 (forall @t21 (or @t14 @t19 @t20 @t18))) % 0.34/0.77 (assume @p6 (forall @t25 (or @t14 @t24 @t12 @t23))) % 0.34/0.77 (assume @p7 (forall @t25 (or @t14 @t24 @t23 @t12))) % 0.34/0.77 (assume @p8 (forall @t21 (or @t26 @t20 @t18 @t19))) % 0.34/0.77 (assume @p9 (forall @t21 (or @t26 @t20 @t19 @t18))) % 0.34/0.77 (assume @p10 (forall @t28 (or @t26 @t27 @t17))) % 0.34/0.77 (assume @p11 (forall @t32 (or @t31 (not (tptp.c_HOL_Oord__class_Oless @t30 @t29 @t1))))) % 0.34/0.77 (assume @p12 (forall @t32 (or @t31 (tptp.c_HOL_Oord__class_Oless @t29 @t30 @t1)))) % 0.34/0.77 (assume @p13 (forall @t25 (or @t39 (tptp.c_lessequals @t29 @t38 @t1) @t35 @t34))) % 0.34/0.77 (assume @p14 (forall @t32 (or @t39 @t42 @t42 @t41))) % 0.34/0.77 (assume @p15 (forall @t46 (or @t45 @t44 @t34))) % 0.34/0.77 (assume @p16 (forall @t46 (or @t45 @t33 (not @t44)))) % 0.34/0.77 (assume @p17 (forall @t53 (or @t52 @t51 @t50 @t48 @t34))) % 0.34/0.77 (assume @p18 (forall @t53 (or @t52 @t51 @t50 @t11 (not (tptp.c_lessequals @t29 @t47 @t1))))) % 0.34/0.77 (assume @p19 (forall @t21 (or @t39 @t58 @t55 @t54 (= @t16 @t29)))) % 0.34/0.77 (assume @p20 (forall @t21 (or @t39 @t58 @t55 @t54 (= @t7 @t29)))) % 0.34/0.77 (assume @p21 (forall @t46 (or @t45 @t61 @t60))) % 0.34/0.77 (assume @p22 (forall @t46 (or @t45 @t59 (not @t61)))) % 0.34/0.77 (assume @p23 (forall @t25 (or @t39 (tptp.c_lessequals @t38 @t29 @t1) @t62 @t60))) % 0.34/0.77 (assume @p24 (forall @t70 (or @t69 @t68 @t65 @t63))) % 0.34/0.77 (assume @p25 (forall @t70 (or @t69 @t68 @t71 @t23))) % 0.34/0.77 (assume @p26 (forall @t46 (or @t31 (tptp.c_HOL_Oord__class_Oless @t9 (tptp.hAPP @t37 @t30) @t1)))) % 0.34/0.77 (assume @p27 (forall @t74 (or @t31 (tptp.c_lessequals @t29 @t73 @t1)))) % 0.34/0.77 (assume @p28 (forall @t77 (or @t31 (tptp.c_lessequals @t29 @t76 @t1)))) % 0.34/0.77 (assume @p29 (forall @t84 (or @t83 (not @t79)))) % 0.34/0.77 (assume @p30 (forall @t84 (or @t83 @t86))) % 0.34/0.77 (assume @p31 (forall @t87 (or @t85 @t79 (not @t83)))) % 0.34/0.77 (assume @p32 (forall @t90 (or @t31 (tptp.c_lessequals @t89 @t88 @t1) @t34 @t23))) % 0.34/0.77 (assume @p33 (forall @t91 (or @t31 (tptp.c_lessequals @t29 @t89 @t1) @t34))) % 0.34/0.77 (assume @p34 (forall @t84 (or @t95 @t94 @t93))) % 0.34/0.77 (assume @p35 (forall @t84 (or @t95 @t97 @t96))) % 0.34/0.77 (assume @p36 (forall @t84 (or @t98 @t94 @t93))) % 0.34/0.77 (assume @p37 (forall @t84 (or @t98 @t97 @t96))) % 0.34/0.77 (assume @p38 (= @t92 @t100)) % 0.34/0.77 (assume @p39 (= @t101 @t92)) % 0.34/0.77 (assume @p40 (forall @t84 (or @t98 @t97 @t93))) % 0.34/0.77 (assume @p41 (forall @t84 (or @t98 @t94 @t96))) % 0.34/0.77 (assume @p42 (= @t92 @t101)) % 0.34/0.77 (assume @p43 (= @t100 @t92)) % 0.34/0.77 (assume @p44 (forall @t84 (or @t95 @t97 @t93))) % 0.34/0.77 (assume @p45 (forall @t84 (or @t95 @t94 @t96))) % 0.34/0.77 (assume @p46 (forall (@list @t1 @t9 @t72 @t75) (or @t31 (not (= @t104 @t89)) @t103 @t102))) % 0.34/0.77 (assume @p47 (forall @t106 (or @t105 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t82 @t1) (tptp.hAPP (tptp.hAPP @t36 @t73) @t76))))) % 0.34/0.77 (assume @p48 (forall @t109 (tptp.c_HOL_Oord__class_Oless @t107 (tptp.c_Suc (tptp.hAPP @t108 @t72)) tptp.tc_nat))) % 0.34/0.77 (assume @p49 (forall @t109 (tptp.c_HOL_Oord__class_Oless @t107 (tptp.c_Suc (tptp.hAPP @t81 @t107)) tptp.tc_nat))) % 0.34/0.77 (assume @p50 (forall (@list @t72 @t7) (tptp.c_HOL_Oord__class_Oless @t72 (tptp.c_Suc (tptp.hAPP @t81 @t7)) tptp.tc_nat))) % 0.34/0.77 (assume @p51 (forall @t46 (or @t111 (= @t110 @t30)))) % 0.34/0.77 (assume @p52 (forall @t113 (or @t112 (= (tptp.c_Power_Opower__class_Opower @t7 @t78 @t1) @t30)))) % 0.34/0.77 (assume @p53 (forall @t119 (or (= @t118 @t117) @t116))) % 0.34/0.77 (assume @p54 (forall (@list @t75 @t120 @t114) (= (tptp.c_Lambda_Oliftn @t122 @t120 @t114) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t121) @t114)))) % 0.34/0.77 (assume @p55 (forall @t127 (or @t5 @t126 @t124))) % 0.34/0.77 (assume @p56 (forall (@list @t1 @t9 @t10 @t64 @t47) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1)) (tptp.c_lessequals @t9 @t67 @t1) @t65 (not (tptp.c_lessequals @t9 @t128 @t1))))) % 0.34/0.77 (assume @p57 (forall @t134 (or @t133 @t132 @t131 @t129))) % 0.34/0.77 (assume @p58 (forall @t134 (or @t133 @t132 @t135 @t18))) % 0.34/0.77 (assume @p59 (forall @t113 (or @t133 @t136))) % 0.34/0.77 (assume @p60 (forall @t113 (or @t14 @t136))) % 0.34/0.77 (assume @p61 (forall @t134 (or @t133 (tptp.c_lessequals @t7 @t130 @t1) @t131 @t18))) % 0.34/0.77 (assume @p62 (forall @t140 (or @t14 @t139 @t138 @t137))) % 0.34/0.77 (assume @p63 (forall @t140 (or @t14 @t139 @t143 @t142))) % 0.34/0.77 (assume @p64 (forall @t140 (or @t14 (tptp.c_lessequals @t130 @t7 @t1) @t143 @t137))) % 0.34/0.77 (assume @p65 (forall @t150 (or @t149 @t145))) % 0.34/0.77 (assume @p66 (forall @t151 (or @t144 (not @t149)))) % 0.34/0.77 (assume @p67 (forall @t156 (or (tptp.c_HOL_Oord__class_Oless @t155 (tptp.hAPP @t154 @t114) tptp.tc_nat) @t153))) % 0.34/0.77 (assume @p68 (forall (@list @t152 @t107) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t154 @t107) @t107 tptp.tc_nat)))) % 0.34/0.77 (assume @p69 (forall (@list @t107 @t152) (not (tptp.c_HOL_Oord__class_Oless @t157 @t107 tptp.tc_nat)))) % 0.34/0.77 (assume @p70 (forall @t163 (or @t162 @t161 @t23))) % 0.34/0.77 (assume @p71 (forall @t165 (or @t162 @t164 @t23))) % 0.34/0.77 (assume @p72 (forall @t166 (or @t52 @t22 (not @t161)))) % 0.34/0.77 (assume @p73 (forall @t163 (or @t52 @t161 @t23))) % 0.34/0.77 (assume @p74 (forall @t166 (or @t52 @t22 (not @t164)))) % 0.34/0.77 (assume @p75 (forall @t165 (or @t52 @t164 @t23))) % 0.34/0.77 (assume @p76 (forall @t21 (or @t133 @t17 @t129))) % 0.34/0.77 (assume @p77 (forall @t21 (or @t14 @t17 @t129))) % 0.34/0.77 (assume @p78 (forall (@list @t107 @t114 @t152 @t167) (or (tptp.c_HOL_Oord__class_Oless @t155 (tptp.hAPP @t154 @t167) tptp.tc_nat) @t168 @t153))) % 0.34/0.77 (assume @p79 (forall @t21 (or @t14 @t20 @t18 @t137))) % 0.34/0.77 (assume @p80 (forall @t21 (or @t14 @t20 @t137 @t18))) % 0.34/0.77 (assume @p81 (forall @t32 (or @t31 (not (tptp.c_lessequals @t30 @t29 @t1))))) % 0.34/0.77 (assume @p82 (forall @t127 (or @t5 @t169 @t124))) % 0.34/0.77 (assume @p83 (forall @t119 (or (= @t118 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t108 @t75))) @t115))) % 0.34/0.77 (assume @p84 (forall @t21 (or @t133 @t19 @t27 @t18))) % 0.34/0.77 (assume @p85 (forall @t32 (or @t31 (tptp.c_lessequals @t29 @t30 @t1)))) % 0.34/0.77 (assume @p86 (forall (@list @t4 @t2 @t1) (not (tptp.c_ListOrder_Ostep1 @t4 @t2 @t170 @t1)))) % 0.34/0.77 (assume @p87 (forall (@list @t4 @t1 @t2) (not (tptp.c_ListOrder_Ostep1 @t4 @t170 @t2 @t1)))) % 0.34/0.77 (assume @p88 (forall (@list @t72 @t167 @t114 @t75) (or (not (= (tptp.hAPP @t81 @t167) @t147)) @t168 @t144))) % 0.34/0.77 (assume @p89 (forall @t84 (= @t82 (tptp.hAPP @t171 @t72)))) % 0.34/0.77 (assume @p90 (forall (@list @t107 @t72 @t152) (or (tptp.c_HOL_Oord__class_Oless @t107 (tptp.hAPP @t81 @t152) tptp.tc_nat) @t153))) % 0.34/0.77 (assume @p91 (forall (@list @t107 @t152 @t72) (or (tptp.c_HOL_Oord__class_Oless @t107 (tptp.hAPP @t154 @t72) tptp.tc_nat) @t153))) % 0.34/0.77 (assume @p92 (forall @t156 (or @t115 (not (tptp.c_HOL_Oord__class_Oless @t157 @t114 tptp.tc_nat))))) % 0.34/0.77 (assume @p93 (forall @t175 (or @t174 (not (tptp.c_HOL_Oord__class_Oless @t7 @t130 tptp.tc_nat))))) % 0.34/0.77 (assume @p94 (forall @t175 (or @t174 @t177))) % 0.34/0.77 (assume @p95 (forall @t84 (= @t180 @t178))) % 0.34/0.77 (assume @p96 (forall @t84 (= @t181 @t178))) % 0.34/0.77 (assume @p97 (forall @t91 (or @t31 (tptp.c_lessequals @t30 @t89 @t1) (not (tptp.c_lessequals @t30 @t9 @t1))))) % 0.34/0.77 (assume @p98 (forall (@list @t4 @t16 @t182 @t7 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t125 @t182))) (tptp.c_ListOrder_Ostep1 @t4 (tptp.c_List_Olist_OCons @t16 @t7 @t1) (tptp.c_List_Olist_OCons @t182 @t7 @t1) @t1)))) % 0.34/0.77 (assume @p99 (forall (@list @t7 @t16 @t2 @t3 @t4 @t1) (or @t20 @t169 @t124))) % 0.34/0.77 (assume @p100 (forall (@list @t4 @t7 @t184 @t1 @t183) (or (tptp.c_ListOrder_Ostep1 @t4 (tptp.c_List_Oappend @t7 @t184 @t1) (tptp.c_List_Oappend @t7 @t183 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t4 @t184 @t183 @t1))))) % 0.34/0.77 (assume @p101 (forall (@list @t4 @t3 @t2 @t1 @t7) (or @t6 (tptp.c_ListOrder_Ostep1 @t4 (tptp.c_List_Oappend @t3 @t7 @t1) @t185 @t1)))) % 0.34/0.77 (assume @p102 (forall @t70 (or @t162 (tptp.c_lessequals @t49 @t67 @t1) @t65 @t23))) % 0.34/0.77 (assume @p103 (forall @t175 (= (tptp.hAPP @t186 @t173) (tptp.hAPP @t172 @t187)))) % 0.34/0.77 (assume @p104 (forall @t151 (= (tptp.hAPP (tptp.hAPP @t80 @t82) @t114) (tptp.hAPP @t81 @t188)))) % 0.34/0.77 (assume @p105 (forall @t77 (or (not (tptp.class_OrderedGroup_Omonoid__mult @t1)) (= (tptp.c_Power_Opower__class_Opower @t30 @t75 @t1) @t30)))) % 0.34/0.77 (assume @p106 (forall @t21 (or @t26 @t19 @t27))) % 0.34/0.77 (assume @p107 (forall @t113 (or @t26 (not @t136) @t190))) % 0.34/0.77 (assume @p108 (forall @t113 (or @t26 @t189 @t136))) % 0.34/0.77 (assume @p109 (forall @t21 (or @t26 @t129 @t137))) % 0.34/0.77 (assume @p110 (forall @t28 (or @t26 @t27 @t19))) % 0.34/0.77 (assume @p111 (forall @t21 (or @t26 @t18 @t142))) % 0.34/0.77 (assume @p112 (forall @t28 (or @t26 @t141 @t17))) % 0.34/0.77 (assume @p113 (forall @t28 (or @t133 @t137 @t129))) % 0.34/0.77 (assume @p114 (forall @t84 (= @t180 @t181))) % 0.34/0.77 (assume @p115 (forall @t175 (or (not (= (tptp.hAPP @t186 @t16) @t187)) @t191))) % 0.34/0.77 (assume @p116 (forall (@list @t72 @t114 @t75) (or (not (= (tptp.hAPP @t81 @t114) @t188)) @t102))) % 0.34/0.77 (assume @p117 (forall @t150 (or (not (= @t148 @t147)) @t102))) % 0.34/0.77 (assume @p118 (forall (@list @t7 @t16 @t4 @t3 @t1 @t2) (or @t20 @t126 @t124))) % 0.34/0.77 (assume @p119 (forall @t32 (or @t192 (not (= @t30 @t29))))) % 0.34/0.77 (assume @p120 (forall @t32 (or @t192 (not (= @t29 @t30))))) % 0.34/0.77 (assume @p121 (forall (@list @t120 @t114) (= (tptp.c_Lambda_Oliftn @t78 @t120 @t114) @t120))) % 0.34/0.77 (assume @p122 (forall @t84 (or @t193 @t96))) % 0.34/0.77 (assume @p123 (forall @t84 (or @t193 @t94))) % 0.34/0.77 (assume @p124 (forall (@list @t7 @t9) (or (not (= @t7 (tptp.hAPP @t186 @t9))) (= @t9 @t78)))) % 0.34/0.77 (assume @p125 (forall @t84 (or (not (= @t82 @t72)) @t96))) % 0.34/0.77 (assume @p126 (= (tptp.hAPP @t99 @t78) @t78)) % 0.34/0.77 (assume @p127 (forall @t194 (= @t7 (tptp.hAPP @t186 @t78)))) % 0.34/0.77 (assume @p128 (forall @t195 (= (tptp.hAPP @t99 @t75) @t75))) % 0.34/0.77 (assume @p129 (forall @t196 (= (tptp.hAPP @t81 @t78) @t72))) % 0.34/0.77 (assume @p130 (forall (@list @t75 @t197 @t120 @t114) (= (tptp.c_Lambda_Oliftn @t75 @t199 @t114) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t75 @t197 @t114)) @t121)))) % 0.34/0.77 (assume @p131 (forall @t25 (or @t39 @t202 @t62 @t201))) % 0.34/0.77 (assume @p132 (forall @t25 (or @t39 @t202 @t203 @t60))) % 0.34/0.77 (assume @p133 (forall @t53 (or @t52 @t51 @t206 @t48 @t205))) % 0.34/0.77 (assume @p134 (forall @t53 (or @t52 @t51 @t206 @t207 @t34))) % 0.34/0.77 (assume @p135 (forall @t25 (or @t39 @t209 @t208 @t34))) % 0.34/0.77 (assume @p136 (forall @t25 (or @t39 @t209 @t35 @t205))) % 0.34/0.77 (assume @p137 (forall @t32 (or @t31 (tptp.c_HOL_Oord__class_Oless @t29 (tptp.hAPP @t210 @t30) @t1)))) % 0.34/0.77 (assume @p138 (forall @t212 (or @t31 @t24 @t35 (not @t211)))) % 0.34/0.77 (assume @p139 (forall @t32 (or @t213 @t111 (= (tptp.c_Power_Opower__class_Opower @t29 @t78 @t1) @t30)))) % 0.34/0.77 (assume @p140 (forall (@list @t1 @t72 @t75 @t9) (or @t31 @t144 (not (tptp.c_HOL_Oord__class_Oless @t104 @t89 @t1)) @t103))) % 0.34/0.77 (assume @p141 (forall (@list @t1 @t9 @t75 @t214) (or @t31 (tptp.c_HOL_Oord__class_Oless @t89 @t216 @t1) @t103 @t215))) % 0.34/0.77 (assume @p142 (forall (@list @t1 @t7 @t16 @t10) (or @t31 @t176 (not @t218) @t217))) % 0.34/0.77 (assume @p143 (forall (@list @t1 @t10 @t7 @t16) (or @t31 @t218 @t177 @t217))) % 0.34/0.77 (assume @p144 (forall @t212 (or @t31 @t22 @t35 (not (tptp.c_lessequals @t220 @t219 @t1))))) % 0.34/0.77 (assume @p145 (forall @t90 (or @t31 (not (= @t220 @t219)) @t12 @t35 @t34))) % 0.34/0.77 (assume @p146 (forall @t91 (or @t31 (tptp.c_HOL_Oord__class_Oless @t30 @t220 @t1) @t103))) % 0.34/0.77 (assume @p147 (forall @t74 (or @t105 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t179 @t1) (tptp.hAPP @t210 @t73))))) % 0.34/0.77 (assume @p148 (forall (@list @t3 @t2 @t16 @t7 @t4 @t1) (or @t227 @t226 @t225))) % 0.34/0.77 (assume @p149 (forall (@list @t4 @t16 @t7 @t3 @t1 @t2) (or @t126 @t226 @t225))) % 0.34/0.77 (assume @p150 (forall (@list @t4 @t16 @t7 @t3 @t2 @t1) (or @t126 @t5 @t225))) % 0.34/0.77 (assume @p151 (forall (@list @t3 @t2 @t4 @t1 @t16 @t7) (or @t227 @t5 @t225))) % 0.34/0.77 (assume @p152 (forall (@list @t4 @t229 @t228) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t230)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t229 @t228 tptp.tc_Lambda_OdB))))) % 0.34/0.77 (assume @p153 (forall (@list @t120 @t197 @t75) (= (tptp.c_Lambda_Osubstn @t120 @t197 @t75) (tptp.hAPP (tptp.hAPP @t231 (tptp.c_Lambda_Oliftn @t75 @t197 @t78)) @t75)))) % 0.34/0.77 (assume @p154 (forall @t236 (or @t235 (= @t234 (tptp.hAPP @t233 @t232))))) % 0.34/0.77 (assume @p155 (forall @t236 (or @t112 (= @t234 (tptp.hAPP (tptp.hAPP @t36 @t57) @t130))))) % 0.34/0.77 (assume @p156 (forall @t140 (or @t14 @t139 @t138 @t142))) % 0.34/0.77 (assume @p157 (forall @t134 (or @t133 @t132 @t135 @t129))) % 0.34/0.77 (assume @p158 (forall (@list @t7 @t1 @t2) (or (not (= @t221 @t238)) @t237))) % 0.34/0.77 (assume @p159 (forall (@list @t240 @t2 @t1 @t3) (or @t243 @t242))) % 0.34/0.77 (assume @p160 (forall (@list @t240 @t3 @t1 @t2) (or @t244 @t242))) % 0.34/0.77 (assume @p161 (forall @t195 (or @t96 (not (tptp.c_HOL_Oord__class_Oless @t75 @t92 tptp.tc_nat))))) % 0.34/0.77 (assume @p162 (forall (@list @t229 @t75 @t245) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t229 @t249 tptp.tc_Lambda_OdB) @t248))) % 0.34/0.77 (assume @p163 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.34/0.77 (assume @p164 (forall @t90 (or @t31 @t211 @t86 @t34 @t63))) % 0.34/0.77 (assume @p165 (forall @t252 (= (tptp.c_Lambda_OdB_OdB__size @t251) (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Lambda_OdB_OdB__size @t250)) @t92)))) % 0.34/0.77 (assume @p166 (forall @t256 (= (tptp.c_Lambda_OdB_OdB__size @t255) (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Lambda_OdB_OdB__size @t254)) (tptp.c_Lambda_OdB_OdB__size @t253))) @t92)))) % 0.34/0.77 (assume @p167 (forall @t259 (or @t258 (= (tptp.c_Lambda_Osubstn @t257 @t197 @t7) (tptp.c_Lambda_Oliftn @t7 @t197 @t78))))) % 0.34/0.77 (assume @p168 (forall @t252 (= (tptp.c_Nat_Osize__class_Osize @t251 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Nat_Osize__class_Osize @t250 tptp.tc_Lambda_OdB)) @t92)))) % 0.34/0.77 (assume @p169 (forall @t256 (= (tptp.c_Nat_Osize__class_Osize @t255 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t80 (tptp.c_Nat_Osize__class_Osize @t254 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t253 tptp.tc_Lambda_OdB))) @t92)))) % 0.34/0.77 (assume @p170 (forall @t91 (or @t31 (tptp.c_HOL_Oord__class_Oless @t30 @t89 @t1) @t86 @t103))) % 0.34/0.77 (assume @p171 (forall @t90 (or @t31 (not (= @t89 @t88)) @t12 @t86 @t35 @t34))) % 0.34/0.77 (assume @p172 (forall @t91 (or @t31 (tptp.c_HOL_Oord__class_Oless @t220 @t30 @t1) @t260 @t205))) % 0.34/0.77 (assume @p173 (forall (@list @t1 @t9 @t214 @t75) (or @t31 (tptp.c_HOL_Oord__class_Oless @t216 @t89 @t1) @t260 @t205 @t215))) % 0.34/0.77 (assume @p174 (forall @t166 (or @t51 @t264))) % 0.34/0.77 (assume @p175 (forall @t166 (or @t51 (= @t261 (tptp.hAPP @t66 @t49))))) % 0.34/0.77 (assume @p176 (forall @t166 (or @t265 @t264))) % 0.34/0.77 (assume @p177 (forall @t269 (or @t112 (= @t268 (tptp.hAPP @t266 @t64))))) % 0.34/0.77 (assume @p178 (forall @t166 (or @t112 (= @t263 (tptp.hAPP @t266 @t10))))) % 0.34/0.77 (assume @p179 (forall @t269 (or @t112 (= @t268 (tptp.hAPP @t158 (tptp.hAPP @t37 @t64)))))) % 0.34/0.77 (assume @p180 (forall @t166 (or @t112 @t264))) % 0.34/0.77 (assume @p181 (forall (@list @t1 @t7 @t16 @t130 @t270) (or @t235 (not (= @t234 (tptp.hAPP @t233 @t270))) (= @t232 @t270)))) % 0.34/0.77 (assume @p182 (forall @t271 (= (tptp.c_List_Orev @t8 @t1) (tptp.c_List_Oappend @t238 @t221 @t1)))) % 0.34/0.77 (assume @p183 (forall @t195 (tptp.c_HOL_Oord__class_Oless @t78 @t122 tptp.tc_nat))) % 0.34/0.77 (assume @p184 (forall @t194 (tptp.c_HOL_Oord__class_Oless @t78 @t272 tptp.tc_nat))) % 0.34/0.77 (assume @p185 (forall @t274 (= @t273 @t221))) % 0.34/0.77 (assume @p186 (forall (@list @t2 @t1 @t16 @t3) (or (not (= @t238 @t123)) (= @t2 @t276)))) % 0.34/0.77 (assume @p187 (forall @t25 (or @t39 @t202 @t203 @t201))) % 0.34/0.77 (assume @p188 (forall (@list @t7 @t182 @t1 @t277) (= @t280 @t278))) % 0.34/0.77 (assume @p189 (forall (@list @t7 @t2 @t1 @t3) (= (tptp.c_List_Oappend @t8 @t3 @t1) (tptp.c_List_Olist_OCons @t7 @t239 @t1)))) % 0.34/0.77 (assume @p190 (forall @t84 (or @t281 (= @t179 @t75) @t145))) % 0.34/0.77 (assume @p191 (forall @t236 (or @t283 @t282 (not (= @t57 @t232)) @t191))) % 0.34/0.77 (assume @p192 (forall @t166 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t285 @t284))) % 0.34/0.77 (assume @p193 (forall @t166 (or @t286 @t285 @t284))) % 0.34/0.77 (assume @p194 (forall @t53 (or @t286 (not (= @t287 @t160)) @t284))) % 0.34/0.77 (assume @p195 (forall (@list @t7 @t182 @t277 @t1) (= @t278 @t280))) % 0.34/0.77 (assume @p196 (forall (@list @t7 @t288 @t277 @t1) (= (tptp.c_List_Olist_OCons @t7 (tptp.c_List_Oappend @t288 @t277 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t7 @t288 @t1) @t277 @t1)))) % 0.34/0.77 (assume @p197 (forall (@list @t7 @t182 @t1) (not (= @t279 @t170)))) % 0.34/0.77 (assume @p198 (forall (@list @t290 @t289 @t1) (not (= @t291 @t170)))) % 0.34/0.77 (assume @p199 (forall (@list @t294 @t293 @t295 @t292) (or (not (tptp.hBOOL (tptp.hAPP @t294 (tptp.c_Type_Otype_Otype__case @t293 @t295 (tptp.c_Type_Otype_OAtom @t292) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t294 (tptp.hAPP @t293 @t292)))))) % 0.34/0.77 (assume @p200 (forall (@list @t294 @t293 @t295 @t296) (or (not (tptp.hBOOL (tptp.hAPP @t294 (tptp.c_Type_Otype_Otype__case @t293 @t295 @t298 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t294 @t297))))) % 0.34/0.77 (assume @p201 (forall @t301 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t300)) @t299))) % 0.34/0.77 (assume @p202 (forall (@list @t1 @t9 @t10 @t47 @t64) (or @t112 (= (tptp.hAPP @t262 @t267) (tptp.hAPP @t266 @t67))))) % 0.34/0.77 (assume @p203 (forall (@list @t3 @t1 @t16) (= (tptp.c_List_Orev @t276 @t1) @t123))) % 0.34/0.77 (assume @p204 (forall @t74 (or @t31 (not (tptp.c_HOL_Oord__class_Oless @t73 @t29 @t1))))) % 0.34/0.77 (assume @p205 (forall @t303 (or (not (= @t238 @t170)) @t302))) % 0.34/0.77 (assume @p206 (forall (@list @t7 @t120 @t1) (not (= (tptp.c_List_Olist_OCons @t7 @t120 @t1) @t120)))) % 0.34/0.77 (assume @p207 (forall (@list @t2 @t7 @t1) (not (= @t2 @t8)))) % 0.34/0.77 (assume @p208 (forall @t194 (or @t258 @t304))) % 0.34/0.77 (assume @p209 (forall @t84 (or @t145 @t306))) % 0.34/0.77 (assume @p210 (forall @t87 (or @t305 @t144))) % 0.34/0.77 (assume @p211 (forall @t271 (= @t8 @t307))) % 0.34/0.77 (assume @p212 (forall @t274 (= @t221 @t273))) % 0.34/0.77 (assume @p213 (forall @t32 (= @t170 @t308))) % 0.34/0.77 (assume @p214 (forall @t312 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t311) @t310)) @t309))) % 0.34/0.77 (assume @p215 (forall @t32 (= @t313 @t170))) % 0.34/0.77 (assume @p216 (forall @t314 (= (tptp.c_List_Orev @t239 @t1) (tptp.c_List_Oappend @t275 @t238 @t1)))) % 0.34/0.77 (assume @p217 (forall @t315 (= (tptp.c_Type_Otype_Otype__case @t293 @t295 @t298 @t1) @t297))) % 0.34/0.77 (assume @p218 (forall (@list @t7 @t75) (or (tptp.c_HOL_Oord__class_Oless @t272 @t122 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t7 @t75 tptp.tc_nat))))) % 0.34/0.77 (assume @p219 (forall @t84 (or @t144 (not @t316)))) % 0.34/0.77 (assume @p220 (forall @t84 (or @t316 @t145))) % 0.34/0.77 (assume @p221 (forall @t46 (or @t45 @t204 (not @t317)))) % 0.34/0.77 (assume @p222 (forall @t46 (or @t45 @t317 @t205))) % 0.34/0.77 (assume @p223 (forall @t91 (or @t192 @t321 @t320 @t111 @t319 @t318))) % 0.34/0.77 (assume @p224 (forall @t91 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t319 @t318))) % 0.34/0.77 (assume @p225 (forall @t46 (or @t45 (not (= @t43 @t29)) @t318))) % 0.34/0.77 (assume @p226 (forall (@list @t1 @t7 @t9) (or @t283 @t282 (not (= @t7 (tptp.hAPP @t56 @t9))) @t318))) % 0.34/0.77 (assume @p227 (forall @t32 (or @t45 @t41))) % 0.34/0.77 (assume @p228 (forall @t113 (or @t112 (= (tptp.hAPP @t40 @t7) @t7)))) % 0.34/0.77 (assume @p229 (forall @t46 (or @t51 @t322))) % 0.34/0.77 (assume @p230 (forall @t113 (or @t283 @t282 (= @t7 (tptp.hAPP @t56 @t29))))) % 0.34/0.77 (assume @p231 (forall @t46 (or @t51 @t323))) % 0.34/0.77 (assume @p232 (forall @t46 (or @t324 @t322))) % 0.34/0.77 (assume @p233 (forall @t46 (or @t324 @t323))) % 0.34/0.77 (assume @p234 (forall @t46 (or @t112 @t323))) % 0.34/0.77 (assume @p235 (forall @t46 (or @t112 @t322))) % 0.34/0.77 (assume @p236 (not (tptp.c_HOL_Oord__class_Oless @t78 @t78 tptp.tc_nat))) % 0.34/0.77 (assume @p237 (forall @t195 (or @t85 @t96))) % 0.34/0.77 (assume @p238 (forall @t196 (not (= @t179 @t78)))) % 0.34/0.77 (assume @p239 (forall @t327 (not (= @t326 @t78)))) % 0.34/0.77 (assume @p240 (forall @t196 (not (= @t78 @t179)))) % 0.34/0.77 (assume @p241 (forall @t327 (not (= @t78 @t326)))) % 0.34/0.77 (assume @p242 (forall @t196 (not (tptp.c_HOL_Oord__class_Oless @t72 @t78 tptp.tc_nat)))) % 0.34/0.77 (assume @p243 (forall @t195 (not (tptp.c_HOL_Oord__class_Oless @t75 @t78 tptp.tc_nat)))) % 0.34/0.77 (assume @p244 (forall (@list @t254 @t253 @t328) (not (= @t255 @t329)))) % 0.34/0.77 (assume @p245 (forall (@list @t328 @t254 @t253) (not (= @t329 @t255)))) % 0.34/0.77 (assume @p246 (forall (@list @t270 @t197 @t120) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t330 @t197)) (tptp.hAPP @t330 @t120))) @t309))) % 0.34/0.77 (assume @p247 (forall (@list @t197 @t270 @t120) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t198 @t270)) @t332)) @t309))) % 0.34/0.77 (assume @p248 (forall @t333 (= (tptp.c_Lambda_Osubstn @t332 @t197 @t114) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t120 @t197 @t114)) (tptp.c_Lambda_Osubstn @t270 @t197 @t114))))) % 0.34/0.77 (assume @p249 (forall @t339 (or (not (= @t338 @t170)) @t336))) % 0.34/0.77 (assume @p250 (forall (@list @t337 @t2 @t3 @t334 @t1) (= (tptp.c_List_Omap @t337 @t340 @t334 @t1) (tptp.c_List_Oappend @t338 (tptp.c_List_Omap @t337 @t3 @t334 @t1) @t1)))) % 0.34/0.77 (assume @p251 (forall (@list @t1 @t337 @t2 @t334) (or (not (= @t170 @t338)) @t336))) % 0.34/0.77 (assume @p252 (forall @t339 (= (tptp.c_List_Orev @t338 @t1) (tptp.c_List_Omap @t337 @t341 @t334 @t1)))) % 0.34/0.77 (assume @p253 (forall (@list @t337 @t334 @t1) (= @t342 @t170))) % 0.34/0.77 (assume @p254 (forall (@list @t337 @t344 @t2 @t343 @t334 @t1) (= (tptp.c_List_Omap @t337 (tptp.c_List_Omap @t344 @t2 @t343 @t334) @t334 @t1) (tptp.c_List_Omap @t345 @t2 @t343 @t1)))) % 0.34/0.77 (assume @p255 (forall (@list @t337 @t7 @t182 @t334 @t1) (= (tptp.c_List_Omap @t337 (tptp.c_List_Olist_OCons @t7 @t182 @t334) @t334 @t1) (tptp.c_List_Olist_OCons @t346 (tptp.c_List_Omap @t337 @t182 @t334 @t1) @t1)))) % 0.34/0.77 (assume @p256 (forall (@list @t337 @t182 @t347 @t334 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t337 @t182) (tptp.c_List_Omap @t337 @t347 @t334 @t1) @t1) (tptp.c_List_Omap @t337 (tptp.c_List_Olist_OCons @t182 @t347 @t334) @t334 @t1)))) % 0.34/0.77 (assume @p257 (forall (@list @t337 @t7 @t2 @t334 @t1) (= (tptp.c_List_Omap @t337 @t348 @t334 @t1) (tptp.c_List_Olist_OCons @t346 @t338 @t1)))) % 0.34/0.77 (assume @p258 (forall (@list @t1 @t337 @t334) (= @t170 @t342))) % 0.34/0.77 (assume @p259 (forall @t353 (or @t352 @t350))) % 0.34/0.77 (assume @p260 (forall @t301 (= @t300 @t354))) % 0.34/0.77 (assume @p261 (forall @t356 (or @t355 @t350))) % 0.34/0.77 (assume @p262 (forall @t301 (= @t354 @t300))) % 0.34/0.77 (assume @p263 (forall (@list @t337 @t9 @t334 @t1) (= (tptp.c_List_Ofoldl @t337 @t9 @t335 @t1 @t334) @t9))) % 0.34/0.77 (assume @p264 (forall (@list @t1 @t7 @t16 @t277) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t36 @t57 @t277 @t1 @t1) (tptp.hAPP @t56 (tptp.c_List_Ofoldl @t36 @t16 @t277 @t1 @t1)))))) % 0.34/0.77 (assume @p265 (forall (@list @t337 @t9 @t7 @t2 @t334 @t1) (= (tptp.c_List_Ofoldl @t337 @t9 @t348 @t1 @t334) (tptp.c_List_Ofoldl @t337 (tptp.hAPP (tptp.hAPP @t337 @t9) @t7) @t2 @t1 @t334)))) % 0.34/0.77 (assume @p266 (forall (@list @t337 @t9 @t2 @t3 @t334 @t1) (= (tptp.c_List_Ofoldl @t337 @t9 @t340 @t1 @t334) (tptp.c_List_Ofoldl @t337 @t357 @t3 @t1 @t334)))) % 0.34/0.77 (assume @p267 (forall (@list @t4 @t120 @t107 @t197) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t360 @t120) @t107)) (tptp.hAPP @t359 @t107))) @t358))) % 0.34/0.77 (assume @p268 (forall (@list @t328 @t296) (not (= @t329 @t361)))) % 0.34/0.77 (assume @p269 (forall (@list @t107 @t120) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t117) @t120))))) % 0.34/0.77 (assume @p270 (forall (@list @t296 @t328) (not (= @t361 @t329)))) % 0.34/0.77 (assume @p271 (forall @t195 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t246)))) % 0.34/0.77 (assume @p272 (forall (@list @t363 @t365 @t362 @t120) (or (tptp.c_Type_Otyping @t363 @t365 @t362) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t120) @t365))) @t364))) % 0.34/0.77 (assume @p273 (forall (@list @t367 @t366 @t296) (not (= @t368 @t298)))) % 0.34/0.77 (assume @p274 (forall (@list @t240 @t1) (tptp.c_List_Olistsp @t240 @t170 @t1))) % 0.34/0.77 (assume @p275 (forall (@list @t3 @t2 @t1 @t277) (or (not (= (tptp.c_List_Oappend @t3 @t2 @t1) (tptp.c_List_Oappend @t277 @t2 @t1))) @t369))) % 0.34/0.77 (assume @p276 (forall @t370 (or (not (= @t239 (tptp.c_List_Oappend @t2 @t277 @t1))) @t369))) % 0.34/0.77 (assume @p277 (forall @t77 (or @t213 @t111 (= (tptp.c_Power_Opower__class_Opower @t29 @t122 @t1) @t29)))) % 0.34/0.77 (assume @p278 (forall @t303 (= @t371 @t2))) % 0.34/0.77 (assume @p279 (forall @t274 (= @t7 (tptp.c_List_Oappend @t170 @t7 @t1)))) % 0.34/0.77 (assume @p280 (forall @t303 (= @t2 @t371))) % 0.34/0.77 (assume @p281 (forall (@list @t1 @t3) (= @t372 @t3))) % 0.34/0.77 (assume @p282 (forall @t373 (= @t3 @t372))) % 0.34/0.77 (assume @p283 (forall @t303 (= @t2 @t374))) % 0.34/0.77 (assume @p284 (forall @t373 (= (tptp.c_List_Orev @t275 @t1) @t3))) % 0.34/0.77 (assume @p285 (forall @t303 (= @t374 @t2))) % 0.34/0.77 (assume @p286 (forall @t376 (or (not (= @t298 (tptp.c_Type_Otype_OAtom @t325))) @t375))) % 0.34/0.77 (assume @p287 (forall (@list @t1 @t9 @t47) (or @t112 (= @t49 @t160)))) % 0.34/0.77 (assume @p288 (forall @t25 (or @t51 (= @t38 @t287)))) % 0.34/0.77 (assume @p289 (forall @t21 (or @t112 (= @t57 (tptp.hAPP @t233 @t7))))) % 0.34/0.77 (assume @p290 (forall @t106 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t73 @t76)) @t102))) % 0.34/0.77 (assume @p291 (forall (@list @t2 @t1 @t7) (or (not (= @t238 @t221)) @t237))) % 0.34/0.77 (assume @p292 (forall (@list @t337 @t344 @t334 @t1 @t343 @t7) (= @t378 @t377))) % 0.34/0.77 (assume @p293 (forall (@list @t9 @t10 @t245 @t343 @t334 @t1) (= @t380 (tptp.hAPP @t379 @t245)))) % 0.34/0.77 (assume @p294 (forall (@list @t7 @t16) (or (not (= @t272 (tptp.c_Suc @t16))) @t20))) % 0.34/0.77 (assume @p295 (forall @t376 (or (not (= (tptp.c_Suc @t296) @t326)) @t375))) % 0.34/0.77 (assume @p296 (tptp.c_HOL_Oord__class_Oless @t78 @t92 tptp.tc_nat)) % 0.34/0.77 (assume @p297 (forall @t46 (or @t45 @t381 @t201))) % 0.34/0.77 (assume @p298 (forall @t46 (or @t45 @t200 @t382))) % 0.34/0.77 (assume @p299 (forall @t46 (or @t383 @t200 @t382))) % 0.34/0.77 (assume @p300 (forall @t46 (or @t383 @t381 @t201))) % 0.34/0.77 (assume @p301 (forall @t91 (or @t31 (tptp.c_HOL_Oord__class_Oless @t29 @t89 @t1) @t205))) % 0.34/0.77 (assume @p302 (forall @t386 (or (= (tptp.c_Lambda_Osubstn @t117 @t197 @t114) @t117) @t385 @t384))) % 0.34/0.77 (assume @p303 (forall @t388 (or @t387 @t302))) % 0.34/0.77 (assume @p304 (forall @t388 (or @t387 @t389))) % 0.34/0.77 (assume @p305 (forall (@list @t250 @t328) (or (not (= @t251 @t329)) (= @t250 @t328)))) % 0.34/0.77 (assume @p306 (forall @t314 (or @t390 @t302))) % 0.34/0.77 (assume @p307 (forall @t314 (or @t390 @t389))) % 0.34/0.77 (assume @p308 (forall @t84 (or @t102 @t144 (not @t391)))) % 0.34/0.77 (assume @p309 (forall @t84 (or @t102 @t306 @t392))) % 0.34/0.77 (assume @p310 (forall @t87 (or (= @t75 @t72) @t306 @t392))) % 0.34/0.77 (assume @p311 (forall @t315 (= (tptp.c_Type_Otype_Otype__rec @t293 @t295 @t298 @t1) @t297))) % 0.34/0.77 (assume @p312 (forall @t194 (not @t258))) % 0.34/0.77 (assume @p313 (forall @t195 (not (tptp.c_HOL_Oord__class_Oless @t75 @t75 tptp.tc_nat)))) % 0.34/0.77 (assume @p314 (forall @t113 (or @t14 @t190))) % 0.34/0.77 (assume @p315 (forall @t113 (or @t26 @t190))) % 0.34/0.77 (assume @p316 (forall @t113 (or @t133 @t190))) % 0.34/0.77 (assume @p317 (forall @t25 (or @t39 @t209 @t208 @t205))) % 0.34/0.77 (assume @p318 (forall @t28 (or @t383 @t141 @t19 @t20))) % 0.34/0.77 (assume @p319 (forall @t21 (or @t26 @t20 @t141 @t19))) % 0.34/0.77 (assume @p320 (forall @t87 (or @t392 @t144 @t102))) % 0.34/0.77 (assume @p321 (forall (@list @t294 @t75 @t72) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t294 @t75) @t72)) @t392 @t102 @t144))) % 0.34/0.77 (assume @p322 (forall (@list @t16 @t7) (or (tptp.c_HOL_Oord__class_Oless @t16 @t7 tptp.tc_nat) @t176 @t20))) % 0.34/0.77 (assume @p323 (forall @t28 (or @t26 @t141 @t19 @t20))) % 0.34/0.77 (assume @p324 (forall @t28 (or @t26 @t141 @t20 @t19))) % 0.34/0.77 (assume @p325 (forall @t21 (or @t26 @t20 @t19 @t141))) % 0.34/0.77 (assume @p326 (forall @t70 (or @t69 @t68 @t71 @t63))) % 0.34/0.77 (assume @p327 (forall (@list @t1 @t290 @t289) (not (= @t170 @t291)))) % 0.34/0.77 (assume @p328 (forall @t106 (or @t31 @t393 @t145))) % 0.34/0.77 (assume @p329 (forall @t106 (or @t31 @t144 (not @t393)))) % 0.34/0.77 (assume @p330 (forall @t195 (tptp.c_HOL_Oord__class_Oless @t75 @t122 tptp.tc_nat))) % 0.34/0.77 (assume @p331 (forall @t194 @t304)) % 0.34/0.77 (assume @p332 (forall @t156 (or (tptp.c_HOL_Oord__class_Oless @t394 @t114 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t152 @t114 tptp.tc_nat)) @t153))) % 0.34/0.77 (assume @p333 (forall (@list @t2 @t1 @t3) (or (not (= @t238 @t275)) @t169))) % 0.34/0.77 (assume @p334 (forall @t77 (or @t31 @t395 @t86))) % 0.34/0.77 (assume @p335 (forall @t77 (or @t31 @t85 (not @t395)))) % 0.34/0.77 (assume @p336 (forall (@list @t240 @t2 @t3 @t1) (or @t241 (not @t244) (not @t243)))) % 0.34/0.77 (assume @p337 (forall (@list @t337 @t344 @t397 @t396 @t343 @t1 @t334) (= (tptp.c_Fun_Ocomp @t337 (tptp.c_Fun_Ocomp @t344 @t397 @t396 @t343 @t1) @t343 @t334 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t337 @t344 @t343 @t334 @t396) @t397 @t396 @t334 @t1)))) % 0.34/0.77 (assume @p338 (forall @t398 (or (not (= @t170 @t238)) @t302))) % 0.34/0.77 (assume @p339 (forall @t53 (or @t31 @t206 @t207 @t205))) % 0.34/0.77 (assume @p340 (forall @t314 (or (not (= @t239 @t2)) @t389))) % 0.34/0.77 (assume @p341 (forall @t314 (or (not (= @t2 @t239)) @t389))) % 0.34/0.77 (assume @p342 (forall @t314 (or (not (= @t239 @t3)) @t302))) % 0.34/0.77 (assume @p343 (forall (@list @t3 @t2 @t1) (or (not (= @t3 @t239)) @t302))) % 0.34/0.77 (assume @p344 (forall (@list @t1 @t7 @t2) (= @t307 @t8))) % 0.34/0.77 (assume @p345 (forall @t195 (not (= @t122 @t75)))) % 0.34/0.77 (assume @p346 (forall @t195 (not (= @t75 @t122)))) % 0.34/0.77 (assume @p347 (forall @t165 (or @t69 @t399 @t63))) % 0.34/0.77 (assume @p348 (forall @t165 (or @t52 @t399 @t63))) % 0.34/0.77 (assume @p349 (forall @t166 (or @t52 @t24 (not @t399)))) % 0.34/0.77 (assume @p350 (forall @t163 (or @t69 @t400 @t63))) % 0.34/0.77 (assume @p351 (forall @t163 (or @t52 @t400 @t63))) % 0.34/0.77 (assume @p352 (forall @t166 (or @t52 @t24 (not @t400)))) % 0.34/0.77 (assume @p353 (forall @t403 (or @t402 (= @t9 @t290)))) % 0.34/0.77 (assume @p354 (forall @t403 (or @t402 (= @t401 @t289)))) % 0.34/0.77 (assume @p355 (forall (@list @t9 @t10 @t343 @t334 @t1 @t47 @t64 @t396 @t245) (or (not (= @t379 (tptp.c_Fun_Ocomp @t47 @t64 @t396 @t334 @t1))) (= @t380 (tptp.hAPP @t47 (tptp.hAPP @t64 @t245)))))) % 0.34/0.77 (assume @p356 (forall (@list @t337 @t344 @t7 @t407 @t406 @t404 @t334 @t1 @t343 @t396 @t405) (or (not (= @t377 (tptp.hAPP @t407 (tptp.hAPP @t406 @t404)))) (= @t378 (tptp.hAPP (tptp.c_Fun_Ocomp @t407 @t406 @t396 @t1 @t405) @t404))))) % 0.34/0.77 (assume @p357 (forall @t32 (= @t170 @t313))) % 0.34/0.77 (assume @p358 (forall @t84 (or @t144 (not @t281)))) % 0.34/0.77 (assume @p359 (forall @t84 (or @t391 @t145))) % 0.34/0.77 (assume @p360 (forall @t414 (or (= (tptp.hAPP (tptp.hAPP @t408 @t413) @t47) @t412) @t409))) % 0.34/0.77 (assume @p361 (forall @t414 (or (= @t412 (tptp.hAPP @t410 (tptp.hAPP @t411 @t47))) @t409))) % 0.34/0.77 (assume @p362 (forall (@list @t408 @t9 @t10 @t1) (or (= @t413 (tptp.hAPP @t410 @t9)) @t409))) % 0.34/0.77 (assume @p363 (forall @t416 (or @t415 @t169))) % 0.34/0.77 (assume @p364 (forall @t416 (or @t415 @t20))) % 0.34/0.77 (assume @p365 (forall @t32 (= @t308 @t170))) % 0.34/0.77 (assume @p366 (forall @t370 (= (tptp.c_List_Oappend @t239 @t277 @t1) (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t3 @t277 @t1) @t1)))) % 0.34/0.77 (assume @p367 (forall (@list @t2 @t288 @t183 @t1) (= (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t288 @t183 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t2 @t288 @t1) @t183 @t1)))) % 0.34/0.77 (assume @p368 (forall (@list @t277 @t7 @t1 @t3) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t277 @t7 @t1) @t3 @t1) (tptp.c_List_Oappend @t277 (tptp.c_List_Oappend @t7 @t3 @t1) @t1)))) % 0.34/0.77 (assume @p369 (forall (@list @t2 @t7 @t417 @t1) (= (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t7 @t417 @t1) @t1) (tptp.c_List_Oappend @t185 @t417 @t1)))) % 0.34/0.77 (assume @p370 (forall @t25 (or @t14 @t63 @t418))) % 0.34/0.77 (assume @p371 (forall @t21 (or @t26 @t129 @t142))) % 0.34/0.77 (assume @p372 (forall @t28 (or @t133 @t142 @t129))) % 0.34/0.77 (assume @p373 (forall @t15 (or @t133 @t418 @t63))) % 0.34/0.77 (assume @p374 (forall @t423 (= (tptp.c_Type_Otype_Otype__rec @t293 @t295 @t422 @t1) (tptp.hAPP (tptp.hAPP @t421 (tptp.c_Type_Otype_Otype__rec @t293 @t295 @t420 @t1)) (tptp.c_Type_Otype_Otype__rec @t293 @t295 @t419 @t1))))) % 0.34/0.77 (assume @p375 (forall @t423 (= (tptp.c_Type_Otype_Otype__case @t293 @t295 @t422 @t1) @t421))) % 0.34/0.77 (assume @p376 (forall (@list @t294 @t293 @t295 @t182 @t347) (or (not (tptp.hBOOL (tptp.hAPP @t294 (tptp.c_Type_Otype_Otype__case @t293 @t295 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t182) @t347) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t294 (tptp.hAPP (tptp.hAPP @t295 @t182) @t347)))))) % 0.34/0.77 (assume @p377 (forall (@list @t294 @t293 @t295 @t420 @t419) (or (not (tptp.hBOOL (tptp.hAPP @t294 (tptp.c_Type_Otype_Otype__case @t293 @t295 @t422 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t294 @t421))))) % 0.34/0.77 (assume @p378 (forall (@list @t296 @t367 @t366) (not (= @t298 @t368)))) % 0.34/0.77 (assume @p379 (forall (@list @t337 @t7 @t2 @t334 @t9 @t1) (= (tptp.c_List_Ofoldr @t337 @t348 @t9 @t334 @t1) (tptp.hAPP @t346 @t424)))) % 0.34/0.77 (assume @p380 (forall (@list @t337 @t2 @t3 @t334 @t9 @t1) (= (tptp.c_List_Ofoldr @t337 @t340 @t9 @t334 @t1) (tptp.c_List_Ofoldr @t337 @t2 (tptp.c_List_Ofoldr @t337 @t3 @t9 @t334 @t1) @t334 @t1)))) % 0.34/0.77 (assume @p381 (forall (@list @t337 @t334 @t9 @t1) (= (tptp.c_List_Ofoldr @t337 @t335 @t9 @t334 @t1) @t9))) % 0.34/0.77 (assume @p382 (forall @t428 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t427)) @t425))) % 0.34/0.77 (assume @p383 (forall (@list @t4 @t107 @t197) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t4) @t107)) (tptp.hAPP @t429 @t107))) @t358))) % 0.34/0.77 (assume @p384 (forall (@list @t363 @t107 @t362 @t1 @t152) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t363 @t107 @t362 @t1) @t152) (tptp.hAPP @t363 @t152)) @t430))) % 0.34/0.77 (assume @p385 (forall @t312 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t431) (tptp.hAPP @t359 @t78))))) % 0.34/0.77 (assume @p386 (= tptp.v_n____ tptp.v_i____)) % 0.34/0.77 (assume @p387 (forall (@list @t75 @t229) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t247)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t229 tptp.tc_Lambda_OdB))))) % 0.34/0.77 (assume @p388 (forall (@list @t245 @t75 @t229) (or (= @t245 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t246 @t249 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t248))) % 0.34/0.77 (assume @p389 (forall @t436 (or (tptp.c_Type_Otypings @t363 @t417 @t435) @t434))) % 0.34/0.77 (assume @p390 (forall @t436 (or (tptp.c_Type_Otypings @t363 @t417 @t437) @t434))) % 0.34/0.77 (assume @p391 (tptp.c_Type_Otyping @t438 tptp.v_a____ tptp.v_T_H_H____)) % 0.34/0.77 (assume @p392 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.34/0.77 (assume @p393 (forall @t77 (or @t192 @t321 @t320 @t111 @t439 @t96))) % 0.34/0.77 (assume @p394 (forall @t77 (or @t213 @t111 @t439 @t96))) % 0.34/0.77 (assume @p395 (forall @t46 (or @t192 @t321 @t320 @t111 (not (= @t110 @t29))))) % 0.34/0.77 (assume @p396 (forall @t32 (or @t105 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t78 @t1) @t29)))) % 0.34/0.77 (assume @p397 (forall (@list @t1 @t7 @t277) (or @t324 (= (tptp.hAPP @t56 (tptp.c_List_Ofoldl @t36 @t29 @t277 @t1 @t1)) (tptp.c_List_Ofoldl @t36 @t7 @t277 @t1 @t1))))) % 0.34/0.77 (assume @p398 (forall (@list @t120 @t197) (= (tptp.c_Lambda_Osubstn @t120 @t197 @t78) (tptp.hAPP @t440 @t78)))) % 0.34/0.77 (assume @p399 (forall @t441 (= (tptp.c_Nat_Osize__class_Osize @t361 tptp.tc_Lambda_OdB) @t78))) % 0.34/0.77 (assume @p400 (forall @t441 (= (tptp.c_Lambda_OdB_OdB__size @t361) @t78))) % 0.34/0.77 (assume @p401 (forall @t353 (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 @t300) @t197) @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t197))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t360 @t197) @t78) @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.34/0.77 (assume @p402 (forall (@list @t4 @t197) (= @t442 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t442 @t349 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.77 (assume @p403 (forall (@list @t4 @t197 @t120) (or (not (= @t442 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t120 @t349 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t442 @t120)))) % 0.34/0.77 (assume @p404 (forall @t356 (or @t355 (= @t197 @t300)))) % 0.34/0.77 (assume @p405 (forall @t445 (or @t444 @t443))) % 0.34/0.77 (assume @p406 (forall @t445 (or @t444 @t446))) % 0.34/0.77 (assume @p407 (forall (@list @t4 @t228 @t197) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t230) @t351)) @t358))) % 0.34/0.77 (assume @p408 (forall @t353 (or @t352 (= @t300 @t197)))) % 0.34/0.77 (assume @p409 (forall @t428 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t331 @t117))) @t425))) % 0.34/0.77 (assume @p410 (forall (@list @t363 @t270 @t362 @t120) (or (tptp.c_Type_Otyping @t363 @t270 @t448) @t447))) % 0.34/0.77 (assume @p411 (forall (@list @t363 @t417 @t362 @t107) (or (tptp.c_Type_Otypings @t363 @t417 @t451) @t450))) % 0.34/0.77 (assume @p412 (forall (@list @t363 @t183 @t362 @t455 @t107 @t417 @t453) (or (tptp.c_Type_Otypings @t363 @t183 @t457) @t456 @t454 @t452))) % 0.34/0.77 (assume @p413 (forall (@list @t4 @t107 @t152) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t360 @t117) @t152))) @t299))) % 0.34/0.77 (assume @p414 (forall (@list @t152 @t270 @t107) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t458) @t270) @t107) @t458) @t430))) % 0.34/0.77 (assume @p415 (forall @t386 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t117) @t197) @t114) @t117) @t385 @t384))) % 0.34/0.77 (assume @p416 (forall @t259 (or @t258 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t257) @t197) @t7) @t197)))) % 0.34/0.77 (assume @p417 (forall (@list @t363 @t107 @t455 @t1 @t362) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t363 @t107 @t455 @t1) @t78 @t362 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t363 @t78 @t362 @t1) @t394 @t455 @t1)))) % 0.34/0.77 (assume @p418 (forall (@list @t344 @t337 @t2 @t343 @t334 @t9 @t1) (= (tptp.c_List_Ofoldr @t344 (tptp.c_List_Omap @t337 @t2 @t343 @t334) @t9 @t334 @t1) (tptp.c_List_Ofoldr (tptp.c_Fun_Ocomp @t344 @t337 @t334 (tptp.tc_fun @t1 @t1) @t343) @t2 @t9 @t343 @t1)))) % 0.34/0.77 (assume @p419 (forall (@list @t408 @t2 @t9 @t1) (or (= (tptp.c_List_Ofoldr @t408 @t2 @t9 @t1 @t1) (tptp.c_List_Ofoldl @t408 @t9 @t2 @t1 @t1)) @t409))) % 0.34/0.77 (assume @p420 (forall (@list @t1 @t2 @t9) (or @t265 (= (tptp.c_List_Ofoldr @t36 @t2 @t9 @t1 @t1) @t459)))) % 0.34/0.77 (assume @p421 (forall (@list @t107 @t114) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t117) @t114) @t117) @t116))) % 0.34/0.77 (assume @p422 (forall @t467 (or @t466 @t464 (not (tptp.c_Type_Otyping @t363 @t270 @t461)) @t462 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t363 @t107 @t461 tptp.tc_Type_Otype) @t120 @t460)) @t425))) % 0.34/0.77 (assume @p423 (forall @t467 (or @t466 @t464 (not (tptp.c_Type_Otyping @t363 @t270 @t465)) @t462 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t363 @t107 @t465 tptp.tc_Type_Otype) @t120 @t460)) @t425))) % 0.34/0.77 (assume @p424 (forall (@list @t417) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap @t469 @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t417 tptp.tc_Lambda_OdB))))) % 0.34/0.77 (assume @p425 (= tptp.v_T____ @t471)) % 0.34/0.77 (assume @p426 (forall (@list @t75 @t417 @t4 @t228) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t246 @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t300 @t228 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.34/0.77 (assume @p427 (forall @t196 (= @t472 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t472 @t349 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.77 (assume @p428 (forall @t474 (or @t473 @t350))) % 0.34/0.77 (assume @p429 (forall (@list @t197 @t120 @t75 @t228) (not (= @t431 @t475)))) % 0.34/0.77 (assume @p430 (forall @t398 (or @t324 (= (tptp.c_List_Ofoldl @t36 @t29 @t2 @t1 @t1) @t476)))) % 0.34/0.77 (assume @p431 (forall (@list @t1 @t9 @t2) (or @t324 (= @t459 (tptp.hAPP @t37 @t476))))) % 0.34/0.77 (assume @p432 (forall (@list @t337 @t2 @t9 @t334 @t1) (= @t424 (tptp.c_List_Ofoldl (tptp.c_COMBC @t337 @t334 @t1 @t1) @t9 @t341 @t1 @t334)))) % 0.34/0.77 (assume @p433 (forall (@list @t337 @t9 @t2 @t1 @t334) (= @t357 (tptp.c_List_Ofoldr (tptp.c_COMBC @t337 @t1 @t334 @t1) @t341 @t9 @t334 @t1)))) % 0.34/0.77 (assume @p434 (forall (@list @t363 @t120 @t362 @t270) (or (tptp.c_Type_Otyping @t363 @t120 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t448) @t362)) @t447))) % 0.34/0.77 (assume @p435 (tptp.c_Type_Otyping @t438 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t477 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 0.34/0.77 (assume @p436 (forall (@list @t455 @t362 @t363 @t183 @t107 @t417 @t453) (or (= @t455 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t457 @t362 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t456 @t454 @t452))) % 0.34/0.77 (assume @p437 (tptp.c_Type_Otypings @t438 tptp.v_as____ tptp.v_Ts____)) % 0.34/0.77 (assume @p438 (tptp.c_Type_Otyping @t438 @t477 @t471)) % 0.34/0.77 (assume @p439 (tptp.c_Type_Otyping @t438 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t477) tptp.v_a____) @t470)) % 0.34/0.77 (assume @p440 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.34/0.77 (assume @p441 (forall (@list @t478 @t120 @t362 @t455) (or (tptp.c_Type_Otyping @t478 @t310 @t479) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t478 @t78 @t362 tptp.tc_Type_Otype) @t120 @t455))))) % 0.34/0.77 (assume @p442 (forall (@list @t363 @t107 @t455 @t417 @t453) (or (tptp.c_Type_Otypings @t481 @t480 @t453) @t454))) % 0.34/0.77 (assume @p443 (forall @t482 (or (tptp.c_Type_Otyping @t363 @t120 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t437 @t362 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t434))) % 0.34/0.77 (assume @p444 @t483) % 0.34/0.77 (assume @p445 (forall @t482 (or (tptp.c_Type_Otyping @t363 @t120 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t435 @t362 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t434))) % 0.34/0.77 (assume @p446 (forall (@list @t363 @t107 @t362 @t417) (or (tptp.c_Type_Otyping @t363 @t117 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t451 @t362 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t450))) % 0.34/0.77 (assume @p447 (forall (@list @t363 @t270 @t107 @t417 @t453 @t362) (or (tptp.c_Type_Otypings @t363 @t485 @t453) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t363 @t107 @t362 tptp.tc_Type_Otype) @t417 @t453)) (not (tptp.c_Type_Otyping @t363 @t270 @t362))))) % 0.34/0.77 (assume @p448 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t471)) % 0.34/0.77 (assume @p449 (forall (@list @t363 @t107 @t455 @t120 @t362) (or (tptp.c_Type_Otyping @t481 @t427 @t362) @t364))) % 0.34/0.77 (assume @p450 (forall @t333 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t332) @t197) @t114) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t440 @t114)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t270) @t197) @t114))))) % 0.34/0.77 (assume @p451 (forall @t376 (or (not (= @t361 (tptp.c_Lambda_OdB_OVar @t325))) @t375))) % 0.34/0.77 (assume @p452 (forall @t487 (or @t486 @t102))) % 0.34/0.77 (assume @p453 (forall @t487 (or @t486 @t446))) % 0.34/0.77 (assume @p454 (forall (@list @t114 @t270) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t114)) @t270) @t114) @t270))) % 0.34/0.77 (assume @p455 (forall @t489 (or @t488 (= @t420 @t367)))) % 0.34/0.77 (assume @p456 (forall @t489 (or @t488 (= @t419 @t366)))) % 0.34/0.77 (assume @p457 (forall (@list @t120 @t417 @t107) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t432) @t107) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t427 @t480 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.77 (assume @p458 (forall (@list @t478 @t197 @t120 @t455 @t362) (or (tptp.c_Type_Otyping @t478 @t199 @t455) (not (tptp.c_Type_Otyping @t478 @t120 @t362)) (not (tptp.c_Type_Otyping @t478 @t197 @t479))))) % 0.34/0.77 (assume @p459 (forall @t494 (or @t493 (= @t254 @t490)))) % 0.34/0.77 (assume @p460 (forall @t494 (or @t493 (= @t253 @t491)))) % 0.34/0.77 (assume @p461 (forall (@list @t362 @t455 @t363 @t107 @t417) (or (= @t362 @t455) @t456 @t450))) % 0.34/0.77 (assume @p462 (forall @t474 (or @t473 (= @t472 @t197)))) % 0.34/0.77 (assume @p463 (forall (@list @t296 @t490 @t491) (not (= @t361 @t492)))) % 0.34/0.77 (assume @p464 (forall (@list @t363 @t7 @t362 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t363 @t7 @t362 @t1) @t7) @t362))) % 0.34/0.77 (assume @p465 (forall (@list @t363 @t107 @t362) (or (= (tptp.hAPP @t363 @t107) @t362) (not (tptp.c_Type_Otyping @t363 @t117 @t362))))) % 0.34/0.77 (assume @p466 (forall (@list @t197 @t120 @t114) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t199) @t114) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t429 @t114)) @t495)))) % 0.34/0.77 (assume @p467 (forall (@list @t120 @t417 @t270 @t107) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t432) @t270) @t107) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t463 @t485 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.34/0.77 (assume @p468 (forall (@list @t294 @t334 @t343 @t1 @t496 @t497) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t294 @t334 @t343 @t1) @t496) @t497) (tptp.hAPP (tptp.hAPP @t294 @t497) @t496)))) % 0.34/0.77 (assume @p469 (forall (@list @t478 @t7) (tptp.c_Type_Otyping @t478 @t257 (tptp.hAPP @t478 @t7)))) % 0.34/0.77 (assume @p470 (forall (@list @t4 @t417 @t197) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t197 @t417 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t443))) % 0.34/0.77 (assume @p471 (forall (@list @t120 @t114 @t197) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t495) @t197) @t114) @t120))) % 0.34/0.77 (assume @p472 (forall (@list @t498 @t270 @t455 @t107 @t120 @t362) (or (not (tptp.c_Type_Otyping @t498 @t270 @t455)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t498 @t107 @t455 tptp.tc_Type_Otype) @t120 @t362)) (tptp.c_Type_Otyping @t498 @t463 @t362)))) % 0.34/0.77 (assume @p473 (forall (@list @t490 @t491 @t296) (not (= @t492 @t361)))) % 0.34/0.77 (assume @p474 @t501) % 0.34/0.77 (assume @p475 @t503) % 0.34/0.77 (assume @p476 (not @t504)) % 0.34/0.77 (assume @p477 (forall @t508 (or (tptp.class_Orderings_Opreorder @t507) (not (tptp.class_Orderings_Opreorder @t505))))) % 0.34/0.77 (assume @p478 (forall @t508 (or (tptp.class_Orderings_Oorder @t507) (not (tptp.class_Orderings_Oorder @t505))))) % 0.34/0.77 (assume @p479 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.34/0.77 (assume @p480 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.34/0.77 (assume @p481 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.34/0.77 (assume @p482 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.34/0.77 (assume @p483 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.34/0.77 (assume @p484 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.34/0.77 (assume @p485 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.34/0.77 (assume @p486 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.34/0.77 (assume @p487 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.34/0.77 (assume @p488 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.34/0.77 (assume @p489 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.34/0.77 (assume @p490 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.34/0.77 (assume @p491 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.34/0.77 (assume @p492 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.34/0.77 (assume @p493 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.34/0.77 (assume @p494 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.34/0.77 (assume @p495 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.34/0.77 (assume @p496 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.34/0.77 (assume @p497 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.34/0.77 (assume @p498 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.34/0.77 (assume @p499 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.34/0.77 (assume @p500 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.34/0.77 (assume @p501 (tptp.class_Power_Opower tptp.tc_nat)) % 0.34/0.77 (assume @p502 (forall (@list @t294 @t496 @t497 @t334 @t1 @t343) (= (tptp.c_COMBB @t294 @t496 @t497 @t334 @t1 @t343) (tptp.hAPP @t294 (tptp.hAPP @t496 @t497))))) % 0.34/0.77 (assume @p503 (forall @t274 (tptp.c_fequal @t7 @t7 @t1))) % 0.34/0.77 (assume @p504 (forall (@list @t510 @t509 @t1) (or (= @t510 @t509) (not (tptp.c_fequal @t510 @t509 @t1))))) % 0.34/0.77 (step @p505 :rule cnf_or_pos :args (@t513)) % 0.34/0.77 (step @p506 :rule reordering :premises (@p505) :args ((or @t504 @t512 @t511 @t514))) % 0.34/0.77 (step @p507 :rule chain_m_resolution :premises (@p506 @p476 @p474 @p475) :args (@t514 (@list true false false) (@list @t504 @t501 @t503))) % 0.34/0.77 (assume-push @p514 @t483) % 0.34/0.77 (step @p509 :rule instantiate :premises (@p444) :args ((@list @t500 @t502 @t499 tptp.v_T_H____ tptp.v_Ts____))) % 0.34/0.77 (step-pop @p515 :rule scope :premises (@p509)) % 0.34/0.77 (step @p510 :rule process_scope :premises (@p515) :args (@t513)) % 0.34/0.77 (step @p512 :rule implies_elim :premises (@p510)) % 0.34/0.77 (step @p513 false :rule chain_m_resolution :premises (@p512 @p507 @p444) :args (false (@list true false) (@list @t513 @t483))) % 0.34/0.77 ) % 0.34/0.77 % SZS output end Proof % 0.34/0.77 % cvc5 exiting %------------------------------------------------------------------------------