%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:02 AM UTC 2026 % Result : Unsatisfiable 0.65s 0.94s % Output : Proof 0.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n006.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 22:10:16 UTC 2026 % 0.10/0.36 % CPUTime : % 0.23/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.65/0.94 % SZS status Unsatisfiable % 0.65/0.94 % SZS output start Proof % 0.65/0.98 ( % 0.65/0.98 (declare-sort $$unsorted 0) % 0.65/0.98 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.v_U____ $$unsorted) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.v_ta____ $$unsorted) % 0.65/0.98 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.tc_String_Ochar $$unsorted) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.65/0.98 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.v_ea____ $$unsorted) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.t_a $$unsorted) % 0.65/0.98 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.v_Ta____ $$unsorted) % 0.65/0.98 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.tc_nat $$unsorted) % 0.65/0.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.v_s____ $$unsorted) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.65/0.98 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.65/0.98 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 0.65/0.98 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.65/0.98 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.65/0.98 (define @t1 () (@var "T_a" $$unsorted)) % 0.65/0.98 (define @t2 () (@var "V_x" $$unsorted)) % 0.65/0.98 (define @t3 () (@var "V_y" $$unsorted)) % 0.65/0.98 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.65/0.98 (define @t5 () (not @t4)) % 0.65/0.98 (define @t6 () (@var "V_z" $$unsorted)) % 0.65/0.98 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t6 @t3 @t1)) % 0.65/0.98 (define @t8 () (not @t7)) % 0.65/0.98 (define @t9 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 0.65/0.98 (define @t10 () (not (tptp.class_Orderings_Oorder @t1))) % 0.65/0.98 (define @t11 () (@list @t1 @t6 @t2 @t3)) % 0.65/0.98 (define @t12 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.65/0.98 (define @t13 () (not @t12)) % 0.65/0.98 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t3 @t6 @t1)) % 0.65/0.98 (define @t15 () (not @t14)) % 0.65/0.98 (define @t16 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.65/0.98 (define @t17 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.65/0.98 (define @t18 () (@list @t1 @t2 @t6 @t3)) % 0.65/0.98 (define @t19 () (@var "V_a" $$unsorted)) % 0.65/0.98 (define @t20 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.65/0.98 (define @t21 () (tptp.c_lessequals @t20 @t19 @t1)) % 0.65/0.98 (define @t22 () (not @t21)) % 0.65/0.98 (define @t23 () (@var "V_b" $$unsorted)) % 0.65/0.98 (define @t24 () (not (tptp.c_lessequals @t20 @t23 @t1))) % 0.65/0.98 (define @t25 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.65/0.98 (define @t26 () (tptp.hAPP @t25 @t19)) % 0.65/0.98 (define @t27 () (tptp.hAPP @t26 @t23)) % 0.65/0.98 (define @t28 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.65/0.98 (define @t29 () (@list @t1 @t19 @t23)) % 0.65/0.98 (define @t30 () (@var "V_m" $$unsorted)) % 0.65/0.98 (define @t31 () (tptp.c_Suc @t30)) % 0.65/0.98 (define @t32 () (@var "V_n" $$unsorted)) % 0.65/0.98 (define @t33 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t34 () (@list @t30 @t32)) % 0.65/0.98 (define @t35 () (tptp.hAPP @t25 @t20)) % 0.65/0.98 (define @t36 () (= (tptp.hAPP @t35 @t20) @t20)) % 0.65/0.98 (define @t37 () (not (tptp.c_lessequals @t20 @t20 @t1))) % 0.65/0.98 (define @t38 () (@list @t1)) % 0.65/0.98 (define @t39 () (tptp.c_Suc @t2)) % 0.65/0.98 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t2 @t39 tptp.tc_nat)) % 0.65/0.98 (define @t41 () (tptp.c_lessequals @t2 @t2 tptp.tc_nat)) % 0.65/0.98 (define @t42 () (@list @t2)) % 0.65/0.98 (define @t43 () (tptp.c_Suc @t32)) % 0.65/0.98 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t30 @t43 tptp.tc_nat)) % 0.65/0.98 (define @t45 () (not @t44)) % 0.65/0.98 (define @t46 () (tptp.c_lessequals @t30 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t47 () (not @t46)) % 0.65/0.98 (define @t48 () (tptp.c_lessequals @t19 @t23 @t1)) % 0.65/0.98 (define @t49 () (not @t48)) % 0.65/0.98 (define @t50 () (@var "V_d" $$unsorted)) % 0.65/0.98 (define @t51 () (@var "V_c" $$unsorted)) % 0.65/0.98 (define @t52 () (not (tptp.c_lessequals @t51 @t50 @t1))) % 0.65/0.98 (define @t53 () (tptp.hAPP @t25 @t23)) % 0.65/0.98 (define @t54 () (tptp.hAPP @t53 @t50)) % 0.65/0.98 (define @t55 () (tptp.hAPP @t26 @t51)) % 0.65/0.98 (define @t56 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.65/0.98 (define @t57 () (@list @t1 @t19 @t51 @t23 @t50)) % 0.65/0.98 (define @t58 () (@var "V_j" $$unsorted)) % 0.65/0.98 (define @t59 () (@var "V_i" $$unsorted)) % 0.65/0.98 (define @t60 () (not (tptp.c_lessequals @t59 @t58 tptp.tc_nat))) % 0.65/0.98 (define @t61 () (@var "V_l" $$unsorted)) % 0.65/0.98 (define @t62 () (@var "V_k" $$unsorted)) % 0.65/0.98 (define @t63 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.65/0.98 (define @t64 () (tptp.hAPP @t63 @t58)) % 0.65/0.98 (define @t65 () (tptp.hAPP @t64 @t61)) % 0.65/0.98 (define @t66 () (tptp.hAPP @t63 @t59)) % 0.65/0.98 (define @t67 () (tptp.hAPP @t66 @t62)) % 0.65/0.98 (define @t68 () (@list @t59 @t62 @t58 @t61)) % 0.65/0.98 (define @t69 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.65/0.98 (define @t70 () (@var "V_s" $$unsorted)) % 0.65/0.98 (define @t71 () (@var "V_t" $$unsorted)) % 0.65/0.98 (define @t72 () (@var "V_P" $$unsorted)) % 0.65/0.98 (define @t73 () (tptp.hAPP @t63 @t23)) % 0.65/0.98 (define @t74 () (tptp.hBOOL (tptp.hAPP @t72 @t2))) % 0.65/0.98 (define @t75 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t23 @t1)) % 0.65/0.98 (define @t76 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.65/0.98 (define @t77 () (tptp.c_HOL_Oord__class_Oless @t62 @t59 tptp.tc_nat)) % 0.65/0.98 (define @t78 () (= @t59 @t62)) % 0.65/0.98 (define @t79 () (tptp.c_Lambda_OdB_OVar @t59)) % 0.65/0.98 (define @t80 () (@list @t59 @t70 @t62)) % 0.65/0.98 (define @t81 () (tptp.hAPP @t26 @t19)) % 0.65/0.98 (define @t82 () (tptp.c_lessequals @t20 @t81 @t1)) % 0.65/0.98 (define @t83 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.65/0.98 (define @t84 () (@list @t1 @t19)) % 0.65/0.98 (define @t85 () (tptp.c_Suc @t69)) % 0.65/0.98 (define @t86 () (= @t32 @t69)) % 0.65/0.98 (define @t87 () (@list @t32)) % 0.65/0.98 (define @t88 () (@var "V_dB" $$unsorted)) % 0.65/0.98 (define @t89 () (@var "V_f3" $$unsorted)) % 0.65/0.98 (define @t90 () (tptp.hAPP @t89 @t88)) % 0.65/0.98 (define @t91 () (tptp.c_Lambda_OdB_OAbs @t88)) % 0.65/0.98 (define @t92 () (@var "V_f2" $$unsorted)) % 0.65/0.98 (define @t93 () (@var "V_f1" $$unsorted)) % 0.65/0.98 (define @t94 () (@list @t93 @t92 @t89 @t88 @t1)) % 0.65/0.98 (define @t95 () (@var "V_r" $$unsorted)) % 0.65/0.98 (define @t96 () (not (tptp.c_Lambda_Obeta @t95 @t70))) % 0.65/0.98 (define @t97 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t32 @t1)) % 0.65/0.98 (define @t98 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t30 @t1)) % 0.65/0.98 (define @t99 () (tptp.c_lessequals @t98 @t97 @t1)) % 0.65/0.98 (define @t100 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.65/0.98 (define @t101 () (@list @t1 @t30 @t32)) % 0.65/0.98 (define @t102 () (tptp.hAPP (tptp.hAPP @t63 @t85) @t69)) % 0.65/0.98 (define @t103 () (tptp.hAPP @t63 @t32)) % 0.65/0.98 (define @t104 () (tptp.hAPP @t103 @t62)) % 0.65/0.98 (define @t105 () (@list @t30 @t32 @t62)) % 0.65/0.98 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t1)) % 0.65/0.98 (define @t107 () (not @t106)) % 0.65/0.98 (define @t108 () (not (tptp.c_lessequals @t23 @t51 @t1))) % 0.65/0.98 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t23 @t55 @t1)) % 0.65/0.98 (define @t110 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.65/0.98 (define @t111 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.65/0.98 (define @t112 () (@list @t1 @t23 @t19 @t51)) % 0.65/0.98 (define @t113 () (= @t30 @t32)) % 0.65/0.98 (define @t114 () (not (= (tptp.c_List_Oreplicate @t30 @t2 @t1) (tptp.c_List_Oreplicate @t32 @t3 @t1)))) % 0.65/0.98 (define @t115 () (@list @t30 @t2 @t1 @t32 @t3)) % 0.65/0.98 (define @t116 () (not (tptp.c_lessequals @t62 @t58 tptp.tc_nat))) % 0.65/0.98 (define @t117 () (tptp.hAPP @t63 @t62)) % 0.65/0.98 (define @t118 () (tptp.hAPP @t117 @t30)) % 0.65/0.98 (define @t119 () (tptp.c_Suc @t58)) % 0.65/0.98 (define @t120 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t62 tptp.tc_nat)) % 0.65/0.98 (define @t121 () (tptp.c_Suc @t120)) % 0.65/0.98 (define @t122 () (tptp.c_Orderings_Oord__class_Omax @t2 @t3 @t1)) % 0.65/0.98 (define @t123 () (tptp.c_HOL_Oord__class_Oless @t122 @t6 @t1)) % 0.65/0.98 (define @t124 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.65/0.98 (define @t125 () (@list @t1 @t2 @t3 @t6)) % 0.65/0.98 (define @t126 () (= @t33 @t69)) % 0.65/0.98 (define @t127 () (not @t126)) % 0.65/0.98 (define @t128 () (tptp.c_Power_Opower__class_Opower @t19 @t32 @t1)) % 0.65/0.98 (define @t129 () (@list @t1 @t19 @t32)) % 0.65/0.98 (define @t130 () (tptp.hBOOL (tptp.hAPP @t72 @t69))) % 0.65/0.98 (define @t131 () (not @t130)) % 0.65/0.98 (define @t132 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t72)) % 0.65/0.98 (define @t133 () (@var "V_nat" $$unsorted)) % 0.65/0.98 (define @t134 () (tptp.hBOOL (tptp.hAPP @t72 @t133))) % 0.65/0.98 (define @t135 () (@list @t72 @t133)) % 0.65/0.98 (define @t136 () (not (tptp.class_Power_Opower @t1))) % 0.65/0.98 (define @t137 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.65/0.98 (define @t138 () (@list @t1 @t32)) % 0.65/0.98 (define @t139 () (tptp.hAPP @t63 @t30)) % 0.65/0.98 (define @t140 () (tptp.hAPP @t139 @t32)) % 0.65/0.98 (define @t141 () (tptp.c_Suc @t140)) % 0.65/0.98 (define @t142 () (tptp.hAPP @t139 @t43)) % 0.65/0.98 (define @t143 () (tptp.hAPP (tptp.hAPP @t63 @t31) @t32)) % 0.65/0.98 (define @t144 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t72)) % 0.65/0.98 (define @t145 () (tptp.hAPP @t72 @t32)) % 0.65/0.98 (define @t146 () (tptp.hBOOL @t145)) % 0.65/0.98 (define @t147 () (@list @t59 @t30)) % 0.65/0.98 (define @t148 () (tptp.hAPP @t139 @t2)) % 0.65/0.98 (define @t149 () (@list @t30 @t2)) % 0.65/0.98 (define @t150 () (tptp.c_lessequals @t59 @t120 tptp.tc_nat)) % 0.65/0.98 (define @t151 () (tptp.c_lessequals @t67 @t58 tptp.tc_nat)) % 0.65/0.98 (define @t152 () (@list @t59 @t62 @t58)) % 0.65/0.98 (define @t153 () (@list @t59 @t58 @t62)) % 0.65/0.98 (define @t154 () (tptp.c_lessequals @t2 @t6 @t1)) % 0.65/0.98 (define @t155 () (tptp.c_lessequals @t3 @t6 @t1)) % 0.65/0.98 (define @t156 () (not @t155)) % 0.65/0.98 (define @t157 () (tptp.c_lessequals @t122 @t6 @t1)) % 0.65/0.98 (define @t158 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.65/0.98 (define @t159 () (not @t158)) % 0.65/0.98 (define @t160 () (tptp.c_lessequals @t6 @t2 @t1)) % 0.65/0.98 (define @t161 () (not @t160)) % 0.65/0.98 (define @t162 () (tptp.c_Orderings_Oord__class_Omax @t3 @t6 @t1)) % 0.65/0.98 (define @t163 () (@list @t1 @t3 @t6 @t2)) % 0.65/0.98 (define @t164 () (tptp.c_lessequals @t19 @t2 @t1)) % 0.65/0.98 (define @t165 () (tptp.c_lessequals @t23 @t2 @t1)) % 0.65/0.98 (define @t166 () (tptp.c_Orderings_Oord__class_Omax @t19 @t23 @t1)) % 0.65/0.98 (define @t167 () (tptp.c_lessequals @t166 @t2 @t1)) % 0.65/0.98 (define @t168 () (@list @t1 @t2 @t3)) % 0.65/0.98 (define @t169 () (@list @t1 @t3 @t2)) % 0.65/0.98 (define @t170 () (@list @t1 @t2)) % 0.65/0.98 (define @t171 () (tptp.c_lessequals @t23 @t55 @t1)) % 0.65/0.98 (define @t172 () (not (tptp.c_lessequals @t23 @t19 @t1))) % 0.65/0.98 (define @t173 () (tptp.v_sko__List__Xupt__Xinduct__1 @t72)) % 0.65/0.98 (define @t174 () (@var "V_nat_H" $$unsorted)) % 0.65/0.98 (define @t175 () (= @t133 @t174)) % 0.65/0.98 (define @t176 () (tptp.c_Type_Otype_OAtom @t133)) % 0.65/0.98 (define @t177 () (@list @t133 @t174)) % 0.65/0.98 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t30 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t179 () (not @t178)) % 0.65/0.98 (define @t180 () (tptp.c_lessequals @t31 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t181 () (not @t180)) % 0.65/0.98 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t32 @t30 tptp.tc_nat)) % 0.65/0.98 (define @t183 () (tptp.c_lessequals @t43 @t30 tptp.tc_nat)) % 0.65/0.98 (define @t184 () (@list @t32 @t30)) % 0.65/0.98 (define @t185 () (not @t183)) % 0.65/0.98 (define @t186 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 tptp.tc_nat)) % 0.65/0.98 (define @t187 () (not @t186)) % 0.65/0.98 (define @t188 () (tptp.hAPP @t63 @t3)) % 0.65/0.98 (define @t189 () (tptp.hAPP @t188 @t6)) % 0.65/0.98 (define @t190 () (tptp.c_HOL_Oord__class_Oless @t2 @t189 tptp.tc_nat)) % 0.65/0.98 (define @t191 () (@list @t2 @t3 @t6)) % 0.65/0.98 (define @t192 () (tptp.hAPP @t66 @t58)) % 0.65/0.98 (define @t193 () (tptp.c_HOL_Oord__class_Oless @t59 @t62 tptp.tc_nat)) % 0.65/0.98 (define @t194 () (not (tptp.c_HOL_Oord__class_Oless @t59 @t58 tptp.tc_nat))) % 0.65/0.98 (define @t195 () (tptp.hAPP @t64 @t30)) % 0.65/0.98 (define @t196 () (@list @t59 @t58 @t30)) % 0.65/0.98 (define @t197 () (tptp.hAPP @t139 @t58)) % 0.65/0.98 (define @t198 () (@list @t59 @t30 @t58)) % 0.65/0.98 (define @t199 () (tptp.c_lessequals @t32 @t30 tptp.tc_nat)) % 0.65/0.98 (define @t200 () (not @t199)) % 0.65/0.98 (define @t201 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t202 () (tptp.hAPP @t25 @t51)) % 0.65/0.98 (define @t203 () (tptp.hAPP @t202 @t19)) % 0.65/0.98 (define @t204 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.65/0.98 (define @t205 () (tptp.hAPP @t53 @t19)) % 0.65/0.98 (define @t206 () (tptp.hAPP @t103 @t30)) % 0.65/0.98 (define @t207 () (not (tptp.c_HOL_Oord__class_Oless @t62 @t61 tptp.tc_nat))) % 0.65/0.98 (define @t208 () (tptp.hAPP @t117 @t32)) % 0.65/0.98 (define @t209 () (tptp.hAPP @t25 @t3)) % 0.65/0.98 (define @t210 () (tptp.hAPP @t25 @t2)) % 0.65/0.98 (define @t211 () (tptp.hAPP @t210 @t3)) % 0.65/0.98 (define @t212 () (@var "V_zs" $$unsorted)) % 0.65/0.98 (define @t213 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t30 tptp.tc_nat)) % 0.65/0.98 (define @t214 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t215 () (@list @t61 @t32 @t30)) % 0.65/0.98 (define @t216 () (tptp.c_lessequals @t6 @t122 @t1)) % 0.65/0.98 (define @t217 () (tptp.c_lessequals @t6 @t3 @t1)) % 0.65/0.98 (define @t218 () (@list @t1 @t6 @t3 @t2)) % 0.65/0.98 (define @t219 () (tptp.c_List_Olist_ONil @t1)) % 0.65/0.98 (define @t220 () (@var "V_r1" $$unsorted)) % 0.65/0.98 (define @t221 () (@var "V_r0" $$unsorted)) % 0.65/0.98 (define @t222 () (@var "V_pwr" $$unsorted)) % 0.65/0.98 (define @t223 () (@var "V_mul" $$unsorted)) % 0.65/0.98 (define @t224 () (@var "V_add" $$unsorted)) % 0.65/0.98 (define @t225 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t224 @t223 @t222 @t221 @t220 @t1))) % 0.65/0.98 (define @t226 () (@var "V_q" $$unsorted)) % 0.65/0.98 (define @t227 () (@var "V_p" $$unsorted)) % 0.65/0.98 (define @t228 () (tptp.hAPP @t222 @t2)) % 0.65/0.98 (define @t229 () (tptp.hAPP @t228 @t226)) % 0.65/0.98 (define @t230 () (tptp.c_Lambda_Oliftn @t32 @t71 @t62)) % 0.65/0.98 (define @t231 () (not (tptp.c_lessequals @t20 @t2 @t1))) % 0.65/0.98 (define @t232 () (not (tptp.c_lessequals @t20 @t3 @t1))) % 0.65/0.98 (define @t233 () (not (= @t211 @t20))) % 0.65/0.98 (define @t234 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.65/0.98 (define @t235 () (not @t234)) % 0.65/0.98 (define @t236 () (= @t122 @t3)) % 0.65/0.98 (define @t237 () (tptp.hAPP @t209 @t6)) % 0.65/0.98 (define @t238 () (tptp.hAPP @t210 @t237)) % 0.65/0.98 (define @t239 () (tptp.hAPP @t210 @t6)) % 0.65/0.98 (define @t240 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.65/0.98 (define @t241 () (tptp.hAPP @t63 @t2)) % 0.65/0.98 (define @t242 () (tptp.hAPP @t241 @t6)) % 0.65/0.98 (define @t243 () (tptp.hAPP @t53 @t51)) % 0.65/0.98 (define @t244 () (tptp.hAPP @t26 @t243)) % 0.65/0.98 (define @t245 () (tptp.hAPP @t25 @t27)) % 0.65/0.98 (define @t246 () (tptp.hAPP @t245 @t51)) % 0.65/0.98 (define @t247 () (= @t246 @t244)) % 0.65/0.98 (define @t248 () (@list @t1 @t19 @t23 @t51)) % 0.65/0.98 (define @t249 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.65/0.98 (define @t250 () (tptp.hAPP @t25 @t55)) % 0.65/0.98 (define @t251 () (tptp.hAPP @t202 @t50)) % 0.65/0.98 (define @t252 () (tptp.hAPP @t26 @t251)) % 0.65/0.98 (define @t253 () (@list @t1 @t19 @t51 @t50)) % 0.65/0.98 (define @t254 () (tptp.c_HOL_Oord__class_Oless @t69 @t140 tptp.tc_nat)) % 0.65/0.98 (define @t255 () (tptp.c_HOL_Oord__class_Oless @t69 @t30 tptp.tc_nat)) % 0.65/0.98 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t69 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t257 () (@var "V_u" $$unsorted)) % 0.65/0.98 (define @t258 () (tptp.hAPP @t139 @t62)) % 0.65/0.98 (define @t259 () (not (tptp.c_lessequals @t258 @t32 tptp.tc_nat))) % 0.65/0.98 (define @t260 () (tptp.c_lessequals @t62 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t261 () (tptp.c_lessequals @t2 @t189 tptp.tc_nat)) % 0.65/0.98 (define @t262 () (tptp.c_lessequals @t2 @t3 tptp.tc_nat)) % 0.65/0.98 (define @t263 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.65/0.98 (define @t264 () (@var "V_T" $$unsorted)) % 0.65/0.98 (define @t265 () (@var "V_ts" $$unsorted)) % 0.65/0.98 (define @t266 () (@var "V_e" $$unsorted)) % 0.65/0.98 (define @t267 () (tptp.c_Type_Otyping @t266 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t71 @t265 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t264)) % 0.65/0.98 (define @t268 () (not @t267)) % 0.65/0.98 (define @t269 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t264 @t266 @t71 @t265)) % 0.65/0.98 (define @t270 () (@list @t266 @t265 @t264 @t71)) % 0.65/0.98 (define @t271 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t1)) % 0.65/0.98 (define @t272 () (not @t271)) % 0.65/0.98 (define @t273 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.65/0.98 (define @t274 () (@list @t72 @t32)) % 0.65/0.98 (define @t275 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.65/0.98 (define @t276 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_nat)) % 0.65/0.98 (define @t277 () (@list @t2 @t70)) % 0.65/0.98 (define @t278 () (@var "T_b" $$unsorted)) % 0.65/0.98 (define @t279 () (tptp.c_List_Olist_ONil @t278)) % 0.65/0.98 (define @t280 () (@var "V_f" $$unsorted)) % 0.65/0.98 (define @t281 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t72)) % 0.65/0.98 (define @t282 () (tptp.hBOOL (tptp.hAPP @t72 @t264))) % 0.65/0.98 (define @t283 () (tptp.hAPP @t63 @t69)) % 0.65/0.98 (define @t284 () (tptp.hAPP @t283 @t85)) % 0.65/0.98 (define @t285 () (not (tptp.c_HOL_Oord__class_Oless @t23 @t51 @t1))) % 0.65/0.98 (define @t286 () (not (tptp.c_lessequals @t62 @t30 tptp.tc_nat))) % 0.65/0.98 (define @t287 () (not @t260)) % 0.65/0.98 (define @t288 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t62 tptp.tc_nat)) % 0.65/0.98 (define @t289 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t62 tptp.tc_nat)) % 0.65/0.98 (define @t290 () (tptp.c_lessequals @t289 @t288 tptp.tc_nat)) % 0.65/0.98 (define @t291 () (@list @t30 @t62 @t32)) % 0.65/0.98 (define @t292 () (tptp.hAPP @t64 @t62)) % 0.65/0.98 (define @t293 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t59 @t58 tptp.tc_nat) @t62 tptp.tc_nat)) % 0.65/0.98 (define @t294 () (tptp.c_Power_Opower__class_Opower @t23 @t32 @t1)) % 0.65/0.98 (define @t295 () (@list @t1 @t19 @t32 @t23)) % 0.65/0.98 (define @t296 () (@var "V_xa" $$unsorted)) % 0.65/0.98 (define @t297 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.65/0.98 (define @t298 () (@var "V_y_H" $$unsorted)) % 0.65/0.98 (define @t299 () (@var "V_x_H" $$unsorted)) % 0.65/0.98 (define @t300 () (tptp.c_HOL_Ominus__class_Ominus @t299 @t298 @t1)) % 0.65/0.98 (define @t301 () (= @t32 @t85)) % 0.65/0.98 (define @t302 () (not (= @t85 @t140))) % 0.65/0.98 (define @t303 () (= @t30 @t85)) % 0.65/0.98 (define @t304 () (= @t30 @t69)) % 0.65/0.98 (define @t305 () (@list @t62 @t30 @t32)) % 0.65/0.98 (define @t306 () (@var "V_dB2" $$unsorted)) % 0.65/0.98 (define @t307 () (@var "V_dB1" $$unsorted)) % 0.65/0.98 (define @t308 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t307) @t306)) % 0.65/0.98 (define @t309 () (@list @t307 @t306)) % 0.65/0.98 (define @t310 () (tptp.c_HOL_Oord__class_Oless @t2 @t166 @t1)) % 0.65/0.98 (define @t311 () (@list @t1 @t2 @t19 @t23)) % 0.65/0.98 (define @t312 () (tptp.c_HOL_Oord__class_Oless @t6 @t122 @t1)) % 0.65/0.98 (define @t313 () (not @t123)) % 0.65/0.98 (define @t314 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.65/0.98 (define @t315 () (tptp.c_Lambda_OdB_OAbs @t95)) % 0.65/0.98 (define @t316 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t315 @t314 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.65/0.98 (define @t317 () (@list @t95)) % 0.65/0.98 (define @t318 () (@var "V_ss" $$unsorted)) % 0.65/0.98 (define @t319 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t70 @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.65/0.98 (define @t320 () (not (= @t315 @t319))) % 0.65/0.98 (define @t321 () (@list @t95 @t70 @t318)) % 0.65/0.98 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t1)) % 0.65/0.98 (define @t323 () (not @t322)) % 0.65/0.98 (define @t324 () (not (tptp.c_HOL_Oord__class_Oless @t23 @t20 @t1))) % 0.65/0.98 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t27 @t20 @t1)) % 0.65/0.98 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t19 @t23 @t1)) % 0.65/0.98 (define @t327 () (not @t326)) % 0.65/0.98 (define @t328 () (not @t256)) % 0.65/0.98 (define @t329 () (tptp.c_HOL_Oord__class_Oless @t128 @t294 @t1)) % 0.65/0.98 (define @t330 () (@var "V_xs" $$unsorted)) % 0.65/0.98 (define @t331 () (tptp.c_List_Ofoldr @t25 @t330 @t20 @t1 @t1)) % 0.65/0.98 (define @t332 () (tptp.c_List_Ofoldl @t25 @t19 @t330 @t1 @t1)) % 0.65/0.98 (define @t333 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.65/0.98 (define @t334 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t23 @t1))) % 0.65/0.98 (define @t335 () (tptp.c_HOL_Oord__class_Oless @t20 @t27 @t1)) % 0.65/0.98 (define @t336 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t23 tptp.tc_nat))) % 0.65/0.98 (define @t337 () (tptp.c_HOL_Oord__class_Oless @t31 @t32 tptp.tc_nat)) % 0.65/0.98 (define @t338 () (= @t3 @t6)) % 0.65/0.98 (define @t339 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.65/0.98 (define @t340 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.65/0.98 (define @t341 () (= @t23 @t51)) % 0.65/0.98 (define @t342 () (not (= @t27 @t55))) % 0.65/0.98 (define @t343 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.65/0.98 (define @t344 () (= @t318 @t314)) % 0.65/0.98 (define @t345 () (not (= @t319 @t315))) % 0.65/0.98 (define @t346 () (@list @t70 @t318 @t95)) % 0.65/0.98 (define @t347 () (tptp.hAPP @t223 @t229)) % 0.65/0.98 (define @t348 () (tptp.hAPP @t223 @t2)) % 0.65/0.98 (define @t349 () (tptp.hAPP @t348 @t3)) % 0.65/0.98 (define @t350 () (tptp.hAPP @t224 @t3)) % 0.65/0.98 (define @t351 () (tptp.hAPP @t350 @t6)) % 0.65/0.98 (define @t352 () (tptp.hAPP @t223 @t3)) % 0.65/0.98 (define @t353 () (tptp.hAPP @t223 @t220)) % 0.65/0.98 (define @t354 () (tptp.hAPP @t223 @t221)) % 0.65/0.98 (define @t355 () (tptp.hAPP @t224 @t2)) % 0.65/0.98 (define @t356 () (tptp.hAPP @t355 @t3)) % 0.65/0.98 (define @t357 () (tptp.hAPP @t224 @t221)) % 0.65/0.98 (define @t358 () (tptp.hAPP @t224 @t19)) % 0.65/0.98 (define @t359 () (tptp.hAPP @t358 @t51)) % 0.65/0.98 (define @t360 () (tptp.hAPP @t224 @t359)) % 0.65/0.98 (define @t361 () (tptp.hAPP @t224 @t51)) % 0.65/0.98 (define @t362 () (tptp.hAPP @t361 @t50)) % 0.65/0.98 (define @t363 () (tptp.hAPP @t358 @t362)) % 0.65/0.98 (define @t364 () (@list @t224 @t19 @t51 @t50 @t223 @t222 @t221 @t220 @t1)) % 0.65/0.98 (define @t365 () (tptp.hAPP @t358 @t23)) % 0.65/0.98 (define @t366 () (tptp.hAPP @t224 @t365)) % 0.65/0.98 (define @t367 () (tptp.hAPP @t366 @t51)) % 0.65/0.98 (define @t368 () (@list @t224 @t19 @t23 @t51 @t223 @t222 @t221 @t220 @t1)) % 0.65/0.98 (define @t369 () (tptp.hAPP @t224 @t23)) % 0.65/0.98 (define @t370 () (= @t2 @t3)) % 0.65/0.98 (define @t371 () (@list @t2 @t3)) % 0.65/0.98 (define @t372 () (tptp.c_Suc @t174)) % 0.65/0.98 (define @t373 () (tptp.c_HOL_Oord__class_Oless @t81 @t20 @t1)) % 0.65/0.98 (define @t374 () (not @t373)) % 0.65/0.98 (define @t375 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.65/0.98 (define @t376 () (@list @t1 @t19 @t23 @t32)) % 0.65/0.98 (define @t377 () (not @t157)) % 0.65/0.98 (define @t378 () (not @t217)) % 0.65/0.98 (define @t379 () (tptp.c_lessequals @t2 @t166 @t1)) % 0.65/0.98 (define @t380 () (not @t167)) % 0.65/0.98 (define @t381 () (tptp.c_lessequals @t120 @t59 tptp.tc_nat)) % 0.65/0.98 (define @t382 () (tptp.c_lessequals @t58 @t67 tptp.tc_nat)) % 0.65/0.98 (define @t383 () (@list @t58 @t59 @t62)) % 0.65/0.98 (define @t384 () (@list @t58 @t62 @t59)) % 0.65/0.98 (define @t385 () (@var "V_dB_H" $$unsorted)) % 0.65/0.98 (define @t386 () (tptp.c_Lambda_OdB_OAbs @t385)) % 0.65/0.98 (define @t387 () (tptp.c_lessequals @t19 @t20 @t1)) % 0.65/0.98 (define @t388 () (not @t387)) % 0.65/0.98 (define @t389 () (not (tptp.c_lessequals @t23 @t20 @t1))) % 0.65/0.98 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t32 @t31 tptp.tc_nat)) % 0.65/0.98 (define @t391 () (not @t390)) % 0.65/0.98 (define @t392 () (= @t32 @t30)) % 0.65/0.98 (define @t393 () (tptp.hAPP @t66 @t120)) % 0.65/0.98 (define @t394 () (tptp.c_HOL_Ominus__class_Ominus @t192 @t62 tptp.tc_nat)) % 0.65/0.98 (define @t395 () (tptp.hAPP (tptp.hAPP @t63 @t120) @t59)) % 0.65/0.98 (define @t396 () (tptp.hAPP @t64 @t59)) % 0.65/0.98 (define @t397 () (tptp.c_HOL_Ominus__class_Ominus @t396 @t62 tptp.tc_nat)) % 0.65/0.98 (define @t398 () (not (tptp.c_HOL_Oord__class_Oless @t58 @t62 tptp.tc_nat))) % 0.65/0.98 (define @t399 () (tptp.hAPP @t93 @t133)) % 0.65/0.98 (define @t400 () (@list @t93 @t92 @t133 @t1)) % 0.65/0.98 (define @t401 () (tptp.c_List_Oreplicate @t69 @t2 @t1)) % 0.65/0.98 (define @t402 () (tptp.hAPP @t117 @t59)) % 0.65/0.98 (define @t403 () (@list @t59 @t62)) % 0.65/0.98 (define @t404 () (tptp.c_Lambda_Oliftn @t32 @t79 @t62)) % 0.65/0.98 (define @t405 () (@list @t32 @t59 @t62)) % 0.65/0.98 (define @t406 () (tptp.c_Lambda_OdB_OAbs @t70)) % 0.65/0.98 (define @t407 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t406) @t71)) % 0.65/0.98 (define @t408 () (@list @t70 @t71)) % 0.65/0.98 (define @t409 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t30 tptp.tc_nat)) % 0.65/0.98 (define @t410 () (tptp.c_lessequals @t75 @t20 @t1)) % 0.65/0.98 (define @t411 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t50 @t1))) % 0.65/0.98 (define @t412 () (tptp.c_HOL_Oord__class_Oless @t55 @t54 @t1)) % 0.65/0.98 (define @t413 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.65/0.98 (define @t414 () (@var "V_rs" $$unsorted)) % 0.65/0.98 (define @t415 () (= @t414 @t318)) % 0.65/0.98 (define @t416 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t315 @t414 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t406 @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.65/0.98 (define @t417 () (@list @t95 @t414 @t70 @t318)) % 0.65/0.98 (define @t418 () (= @t95 @t70)) % 0.65/0.98 (define @t419 () (tptp.c_HOL_Oord__class_Oless @t75 @t20 @t1)) % 0.65/0.98 (define @t420 () (tptp.c_HOL_Oord__class_Oless @t98 @t97 @t1)) % 0.65/0.98 (define @t421 () (tptp.c_Suc @t59)) % 0.65/0.98 (define @t422 () (tptp.c_lessequals @t55 @t243 @t1)) % 0.65/0.98 (define @t423 () (@list @t1 @t19 @t51 @t23)) % 0.65/0.98 (define @t424 () (tptp.hAPP @t202 @t23)) % 0.65/0.98 (define @t425 () (tptp.c_lessequals @t203 @t424 @t1)) % 0.65/0.98 (define @t426 () (@list @t1 @t51 @t19 @t23)) % 0.65/0.98 (define @t427 () (tptp.c_lessequals @t118 @t208 tptp.tc_nat)) % 0.65/0.98 (define @t428 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t95) @t70)) % 0.65/0.98 (define @t429 () (@var "V_ry" $$unsorted)) % 0.65/0.98 (define @t430 () (@var "V_lx" $$unsorted)) % 0.65/0.98 (define @t431 () (tptp.hAPP @t223 @t430)) % 0.65/0.98 (define @t432 () (@var "V_rx" $$unsorted)) % 0.65/0.98 (define @t433 () (tptp.hAPP @t223 @t432)) % 0.65/0.98 (define @t434 () (tptp.hAPP @t433 @t429)) % 0.65/0.98 (define @t435 () (tptp.hAPP @t431 @t434)) % 0.65/0.98 (define @t436 () (@list @t223 @t430 @t432 @t429 @t224 @t222 @t221 @t220 @t1)) % 0.65/0.98 (define @t437 () (tptp.hAPP @t223 (tptp.hAPP @t431 @t432))) % 0.65/0.98 (define @t438 () (@var "V_ly" $$unsorted)) % 0.65/0.98 (define @t439 () (tptp.hAPP @t223 @t438)) % 0.65/0.98 (define @t440 () (tptp.hAPP @t223 (tptp.hAPP @t431 @t438))) % 0.65/0.98 (define @t441 () (tptp.hAPP @t440 @t432)) % 0.65/0.98 (define @t442 () (@list @t223 @t430 @t438 @t432 @t224 @t222 @t221 @t220 @t1)) % 0.65/0.98 (define @t443 () (tptp.hAPP @t440 @t434)) % 0.65/0.98 (define @t444 () (@list @t223 @t430 @t438 @t432 @t429 @t224 @t222 @t221 @t220 @t1)) % 0.65/0.98 (define @t445 () (tptp.hAPP @t223 @t19)) % 0.65/0.98 (define @t446 () (tptp.hAPP @t223 @t23)) % 0.65/0.98 (define @t447 () (tptp.hAPP @t223 @t365)) % 0.65/0.98 (define @t448 () (tptp.hAPP @t224 @t30)) % 0.65/0.98 (define @t449 () (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP @t358 @t220)) @t30)) % 0.65/0.98 (define @t450 () (tptp.hAPP @t445 @t30)) % 0.65/0.98 (define @t451 () (tptp.hAPP @t224 @t450)) % 0.65/0.98 (define @t452 () (@var "V_xc" $$unsorted)) % 0.65/0.98 (define @t453 () (tptp.hBOOL (tptp.hAPP @t72 @t399))) % 0.65/0.98 (define @t454 () (not (= @t140 @t85))) % 0.65/0.98 (define @t455 () (not (tptp.c_InductTermi_OIT @t95))) % 0.65/0.98 (define @t456 () (@list @t88)) % 0.65/0.98 (define @t457 () (@list @t1 @t30)) % 0.65/0.98 (define @t458 () (= @t19 @t23)) % 0.65/0.98 (define @t459 () (not @t193)) % 0.65/0.98 (define @t460 () (@list @t2 @t1)) % 0.65/0.98 (define @t461 () (@list @t32 @t59)) % 0.65/0.98 (define @t462 () (tptp.c_lessequals @t30 @t43 tptp.tc_nat)) % 0.65/0.98 (define @t463 () (tptp.c_Power_Opower__class_Opower @t23 @t43 @t1)) % 0.65/0.98 (define @t464 () (tptp.c_Power_Opower__class_Opower @t19 @t43 @t1)) % 0.65/0.98 (define @t465 () (tptp.c_Orderings_Oord__class_Omax @t2 @t162 @t1)) % 0.65/0.98 (define @t466 () (not (tptp.c_Lambda_Obeta @t70 @t71))) % 0.65/0.98 (define @t467 () (tptp.c_Lambda_OdB_OAbs @t71)) % 0.65/0.98 (define @t468 () (tptp.c_HOL_Oord__class_Oless @t31 @t43 tptp.tc_nat)) % 0.65/0.98 (define @t469 () (not @t255)) % 0.65/0.98 (define @t470 () (tptp.c_HOL_Oord__class_Oless @t20 @t81 @t1)) % 0.65/0.98 (define @t471 () (not (tptp.c_Type_Otyping @t266 @t467 @t264))) % 0.65/0.98 (define @t472 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t264 @t266 @t71)) % 0.65/0.98 (define @t473 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t264 @t266 @t71)) % 0.65/0.98 (define @t474 () (= @t19 @t20)) % 0.65/0.98 (define @t475 () (not (= @t128 @t20))) % 0.65/0.98 (define @t476 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.65/0.98 (define @t477 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.65/0.98 (define @t478 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.65/0.98 (define @t479 () (= @t297 @t20)) % 0.65/0.98 (define @t480 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1)) % 0.65/0.98 (define @t481 () (not (= @t75 @t20))) % 0.65/0.98 (define @t482 () (= (tptp.hAPP @t35 @t19) @t19)) % 0.65/0.98 (define @t483 () (= (tptp.hAPP @t26 @t20) @t19)) % 0.65/0.98 (define @t484 () (@list @t30)) % 0.65/0.98 (define @t485 () (@list @t174)) % 0.65/0.98 (define @t486 () (not (= @t140 @t69))) % 0.65/0.98 (define @t487 () (@list @t59 @t58)) % 0.65/0.98 (define @t488 () (= (tptp.hAPP @t103 @t33) @t30)) % 0.65/0.98 (define @t489 () (tptp.hAPP @t228 (tptp.c_Suc @t226))) % 0.65/0.98 (define @t490 () (tptp.hAPP @t348 @t229)) % 0.65/0.98 (define @t491 () (tptp.c_HOL_Oord__class_Oless @t20 @t97 @t1)) % 0.65/0.98 (define @t492 () (tptp.c_List_Oreplicate @t32 @t2 @t1)) % 0.65/0.98 (define @t493 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t264 @t266 @t71 @t265)) % 0.65/0.98 (define @t494 () (tptp.c_HOL_Oord__class_Oless @t289 @t288 tptp.tc_nat)) % 0.65/0.98 (define @t495 () (not (tptp.c_HOL_Oord__class_Oless @t58 @t59 tptp.tc_nat))) % 0.65/0.98 (define @t496 () (tptp.c_Lambda_OdB_OVar @t58)) % 0.65/0.98 (define @t497 () (tptp.c_lessequals @t81 @t20 @t1)) % 0.65/0.98 (define @t498 () (tptp.c_HOL_Oord__class_Oless @t59 @t120 tptp.tc_nat)) % 0.65/0.98 (define @t499 () (tptp.c_HOL_Oord__class_Oless @t67 @t58 tptp.tc_nat)) % 0.65/0.98 (define @t500 () (tptp.c_HOL_Oord__class_Oless @t55 @t243 @t1)) % 0.65/0.98 (define @t501 () (tptp.c_HOL_Oord__class_Oless @t203 @t424 @t1)) % 0.65/0.98 (define @t502 () (tptp.c_HOL_Oord__class_Oless @t118 @t208 tptp.tc_nat)) % 0.65/0.98 (define @t503 () (tptp.c_HOL_Oord__class_Oless @t69 @t409 tptp.tc_nat)) % 0.65/0.98 (define @t504 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.65/0.98 (define @t505 () (tptp.c_lessequals @t298 @t299 @t1)) % 0.65/0.98 (define @t506 () (not (= @t480 @t300))) % 0.65/0.98 (define @t507 () (@list @t1 @t2 @t3 @t299 @t298)) % 0.65/0.98 (define @t508 () (tptp.c_HOL_Oord__class_Oless @t299 @t298 @t1)) % 0.65/0.98 (define @t509 () (tptp.c_HOL_Oord__class_Oless @t23 @t19 @t1)) % 0.65/0.98 (define @t510 () (@list @t1 @t23 @t19)) % 0.65/0.98 (define @t511 () (tptp.c_lessequals @t43 @t31 tptp.tc_nat)) % 0.65/0.98 (define @t512 () (not @t509)) % 0.65/0.98 (define @t513 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t71)) % 0.65/0.98 (define @t514 () (tptp.hAPP @t513 @t257)) % 0.65/0.98 (define @t515 () (@list @t71 @t257 @t70 @t62)) % 0.65/0.98 (define @t516 () (@var "V_xb" $$unsorted)) % 0.65/0.98 (define @t517 () (tptp.hAPP (tptp.hAPP @t92 @t307) @t306)) % 0.65/0.98 (define @t518 () (@list @t93 @t92 @t89 @t307 @t306 @t1)) % 0.65/0.98 (define @t519 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t257)) % 0.65/0.98 (define @t520 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t70)) % 0.65/0.98 (define @t521 () (tptp.hAPP @t520 @t71)) % 0.65/0.98 (define @t522 () (tptp.c_Lambda_OdB_OVar @t32)) % 0.65/0.98 (define @t523 () (tptp.c_Lambda_OdB_OVar @t30)) % 0.65/0.98 (define @t524 () (not (= @t523 @t319))) % 0.65/0.98 (define @t525 () (@list @t30 @t70 @t318)) % 0.65/0.98 (define @t526 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t522 @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.65/0.98 (define @t527 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t79 @t265 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.65/0.98 (define @t528 () (not (tptp.c_Type_Otyping @t266 @t527 @t264))) % 0.65/0.98 (define @t529 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t264 @t266 @t59 @t265)) % 0.65/0.98 (define @t530 () (@var "V_us" $$unsorted)) % 0.65/0.98 (define @t531 () (not (tptp.c_Type_Otyping @t266 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t527 @t530 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t264))) % 0.65/0.98 (define @t532 () (@var "V_Ts" $$unsorted)) % 0.65/0.98 (define @t533 () (not (tptp.c_Type_Otypings @t266 @t265 @t532))) % 0.65/0.98 (define @t534 () (@var "V_U" $$unsorted)) % 0.65/0.98 (define @t535 () (not (tptp.c_Type_Otyping @t266 @t527 @t534))) % 0.65/0.98 (define @t536 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t264 @t534 @t266 @t530)) % 0.65/0.98 (define @t537 () (tptp.c_Lambda_OdB_OVar @t133)) % 0.65/0.98 (define @t538 () (@var "V_xd" $$unsorted)) % 0.65/0.98 (define @t539 () (@list @t93 @t92 @t89 @t133 @t1)) % 0.65/0.98 (define @t540 () (@list @t266 @t71 @t264 @t265)) % 0.65/0.98 (define @t541 () (not (tptp.c_Type_Otyping @t266 @t71 @t264))) % 0.65/0.98 (define @t542 () (@var "V_t_H" $$unsorted)) % 0.65/0.98 (define @t543 () (@var "V_type2_H" $$unsorted)) % 0.65/0.98 (define @t544 () (@var "V_type1_H" $$unsorted)) % 0.65/0.98 (define @t545 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t544) @t543)) % 0.65/0.98 (define @t546 () (@var "V_T2" $$unsorted)) % 0.65/0.98 (define @t547 () (@var "V_T1" $$unsorted)) % 0.65/0.98 (define @t548 () (@var "V_T1a" $$unsorted)) % 0.65/0.98 (define @t549 () (@var "V_type2" $$unsorted)) % 0.65/0.98 (define @t550 () (@var "V_type1" $$unsorted)) % 0.65/0.98 (define @t551 () (tptp.hAPP (tptp.hAPP @t92 @t550) @t549)) % 0.65/0.98 (define @t552 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t550) @t549)) % 0.65/0.98 (define @t553 () (@list @t93 @t92 @t550 @t549 @t1)) % 0.65/0.98 (define @t554 () (not (tptp.c_InductTermi_OIT @t71))) % 0.65/0.98 (define @t555 () (tptp.c_Lambda_Olift @t71 @t59)) % 0.65/0.98 (define @t556 () (@list @t71 @t59)) % 0.65/0.98 (define @t557 () (tptp.c_Lambda_Olift @t71 @t62)) % 0.65/0.98 (define @t558 () (tptp.c_Type_Oshift @t266 @t59 @t534 tptp.tc_Type_Otype)) % 0.65/0.98 (define @t559 () (tptp.c_Lambda_Osubst @t71 @t257 @t59)) % 0.65/0.98 (define @t560 () (= (tptp.c_Power_Opower__class_Opower @t20 @t32 @t1) @t20)) % 0.65/0.98 (define @t561 () (@list @t133)) % 0.65/0.98 (define @t562 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t523 @t414 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t526))) % 0.65/0.98 (define @t563 () (@list @t30 @t414 @t32 @t318)) % 0.65/0.98 (define @t564 () (not (tptp.c_Type_Otyping @t266 @t514 @t264))) % 0.65/0.98 (define @t565 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t264 @t266 @t71 @t257)) % 0.65/0.98 (define @t566 () (@var "V_e_H" $$unsorted)) % 0.65/0.98 (define @t567 () (@var "V_env" $$unsorted)) % 0.65/0.98 (define @t568 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t264) @t534)) % 0.65/0.98 (define @t569 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_Ta____) tptp.v_U____)) % 0.65/0.98 (define @t570 () (not (= @t552 @t545))) % 0.65/0.98 (define @t571 () (@list @t550 @t549 @t544 @t543)) % 0.65/0.98 (define @t572 () (forall (@list @t567 @t70 @t71 @t534 @t264) (or (tptp.c_Type_Otyping @t567 @t521 @t534) (not (tptp.c_Type_Otyping @t567 @t71 @t264)) (not (tptp.c_Type_Otyping @t567 @t70 @t568))))) % 0.65/0.98 (define @t573 () (@var "V_dB1_H" $$unsorted)) % 0.65/0.98 (define @t574 () (@var "V_dB2_H" $$unsorted)) % 0.65/0.98 (define @t575 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t573) @t574)) % 0.65/0.98 (define @t576 () (not (= @t308 @t575))) % 0.65/0.98 (define @t577 () (@list @t307 @t306 @t573 @t574)) % 0.65/0.98 (define @t578 () (tptp.c_Lambda_Olift tptp.v_ta____ @t69)) % 0.65/0.98 (define @t579 () (tptp.c_Type_Oshift tptp.v_ea____ @t69 @t569 tptp.tc_Type_Otype)) % 0.65/0.98 (define @t580 () (tptp.c_Type_Otyping @t579 @t578 tptp.v_Ta____)) % 0.65/0.98 (define @t581 () (tptp.c_Lambda_OdB_OVar @t69)) % 0.65/0.98 (define @t582 () (tptp.c_Type_Otyping @t579 @t581 @t569)) % 0.65/0.98 (define @t583 () (tptp.c_Type_Otyping @t579 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t581) @t578) tptp.v_U____)) % 0.65/0.98 (define @t584 () (@var "T_1" $$unsorted)) % 0.65/0.98 (define @t585 () (@var "T_2" $$unsorted)) % 0.65/0.98 (define @t586 () (tptp.tc_fun @t585 @t584)) % 0.65/0.98 (define @t587 () (@list @t585 @t584)) % 0.65/0.98 (define @t588 () (@var "V_Y" $$unsorted)) % 0.65/0.98 (define @t589 () (@var "V_X" $$unsorted)) % 0.65/0.98 (define @t590 () (not @t582)) % 0.65/0.98 (define @t591 () (not @t580)) % 0.65/0.98 (define @t592 () (or @t583 @t591 @t590)) % 0.65/0.98 (define @t593 () (not @t592)) % 0.65/0.98 (assume @p1 (forall @t11 (or @t10 @t9 @t8 @t5))) % 0.65/0.98 (assume @p2 (forall @t18 (or @t17 @t16 @t15 @t13))) % 0.65/0.98 (assume @p3 (forall @t29 (or @t28 (tptp.c_lessequals @t20 @t27 @t1) @t24 @t22))) % 0.65/0.98 (assume @p4 (forall @t34 (tptp.c_HOL_Oord__class_Oless @t33 @t31 tptp.tc_nat))) % 0.65/0.98 (assume @p5 (forall @t38 (or @t28 @t37 @t37 @t36))) % 0.65/0.98 (assume @p6 (forall @t42 (or (not @t41) @t40))) % 0.65/0.98 (assume @p7 (forall @t34 (or @t46 @t45))) % 0.65/0.98 (assume @p8 (forall @t34 (or @t44 @t47))) % 0.65/0.98 (assume @p9 (forall @t57 (or @t56 (tptp.c_lessequals @t55 @t54 @t1) @t52 @t49))) % 0.65/0.98 (assume @p10 (forall @t68 (or (tptp.c_lessequals @t67 @t65 tptp.tc_nat) (not (tptp.c_lessequals @t62 @t61 tptp.tc_nat)) @t60))) % 0.65/0.98 (assume @p11 (forall (@list @t71 @t70 @t32) (= (tptp.c_Lambda_Osubstn @t71 @t70 @t32) (tptp.c_Lambda_Osubst @t71 (tptp.c_Lambda_Oliftn @t32 @t70 @t69) @t32)))) % 0.65/0.98 (assume @p12 (forall (@list @t72 @t23 @t50) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t73 @t50) @t23 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t72 @t50))))) % 0.65/0.98 (assume @p13 (forall (@list @t72 @t23 @t2) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t73 @t2) @t23 tptp.tc_nat)))) @t74))) % 0.65/0.98 (assume @p14 (forall @t29 (or @t76 (= (tptp.hAPP (tptp.hAPP @t25 @t75) @t23) @t19)))) % 0.65/0.98 (assume @p15 (forall @t80 (or (= (tptp.c_Lambda_Osubst @t79 @t70 @t62) @t79) @t78 @t77))) % 0.65/0.98 (assume @p16 (forall @t84 (or @t83 @t82 @t22))) % 0.65/0.98 (assume @p17 (forall @t84 (or @t83 @t21 (not @t82)))) % 0.65/0.98 (assume @p18 (forall @t87 (or @t86 (not (tptp.c_HOL_Oord__class_Oless @t32 @t85 tptp.tc_nat))))) % 0.65/0.98 (assume @p19 (forall @t34 (= (tptp.c_Orderings_Oord__class_Omax @t31 @t43 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t30 @t32 tptp.tc_nat))))) % 0.65/0.98 (assume @p20 (forall @t94 (= (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 @t91 @t1) @t90))) % 0.65/0.98 (assume @p21 (forall (@list @t95 @t71 @t59 @t70) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t95 @t71 @t59) (tptp.c_Lambda_Osubst @t70 @t71 @t59)) @t96))) % 0.65/0.98 (assume @p22 (forall @t101 (or @t100 @t99 @t47))) % 0.65/0.98 (assume @p23 (forall @t101 (or @t100 @t46 (not @t99)))) % 0.65/0.98 (assume @p24 (= @t102 @t85)) % 0.65/0.98 (assume @p25 (forall @t105 (or (tptp.c_HOL_Oord__class_Oless @t30 @t104 tptp.tc_nat) @t47 (not (tptp.c_HOL_Oord__class_Oless @t69 @t62 tptp.tc_nat))))) % 0.65/0.98 (assume @p26 (forall @t112 (or @t111 @t110 @t109 @t108 @t107))) % 0.65/0.98 (assume @p27 (forall @t115 (or @t114 @t113))) % 0.65/0.98 (assume @p28 (forall (@list @t58 @t62 @t30) (or (= (tptp.c_HOL_Ominus__class_Ominus @t121 @t30 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t119 @t118 tptp.tc_nat)) @t116))) % 0.65/0.98 (assume @p29 (forall @t125 (or @t124 @t123 @t15 (not @t16)))) % 0.65/0.98 (assume @p30 (forall @t34 (or @t127 @t46))) % 0.65/0.98 (assume @p31 (forall @t34 (or @t126 @t47))) % 0.65/0.98 (assume @p32 (forall @t129 (or @t100 (tptp.c_lessequals @t20 @t128 @t1) @t22))) % 0.65/0.98 (assume @p33 (forall @t135 (or @t134 (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Suc @t132)))) @t131))) % 0.65/0.98 (assume @p34 (forall @t138 (or @t137 @t136 (= (tptp.c_Power_Opower__class_Opower @t20 @t43 @t1) @t20)))) % 0.65/0.98 (assume @p35 (forall @t34 (= @t142 @t141))) % 0.65/0.98 (assume @p36 (forall @t34 (= @t143 @t141))) % 0.65/0.98 (assume @p37 (forall (@list @t72 @t32 @t2) (or @t146 @t74 (not (tptp.c_HOL_Oord__class_Oless @t2 @t144 tptp.tc_nat)) @t131))) % 0.65/0.98 (assume @p38 (forall @t147 (tptp.c_HOL_Oord__class_Oless @t59 (tptp.c_Suc (tptp.hAPP @t66 @t30)) tptp.tc_nat))) % 0.65/0.98 (assume @p39 (forall @t147 (tptp.c_HOL_Oord__class_Oless @t59 (tptp.c_Suc (tptp.hAPP @t139 @t59)) tptp.tc_nat))) % 0.65/0.98 (assume @p40 (forall @t149 (tptp.c_HOL_Oord__class_Oless @t30 (tptp.c_Suc @t148) tptp.tc_nat))) % 0.65/0.98 (assume @p41 (forall @t152 (or @t151 (not @t150) @t116))) % 0.65/0.98 (assume @p42 (forall @t153 (or @t150 (not @t151) @t116))) % 0.65/0.98 (assume @p43 (forall @t125 (or @t124 @t157 @t156 (not @t154)))) % 0.65/0.98 (assume @p44 (forall @t163 (or @t124 (tptp.c_lessequals @t162 @t2 @t1) @t161 @t159))) % 0.65/0.98 (assume @p45 (forall (@list @t1 @t19 @t23 @t2) (or @t124 @t167 (not @t165) (not @t164)))) % 0.65/0.98 (assume @p46 (forall @t168 (or @t124 (tptp.c_lessequals @t2 @t122 @t1)))) % 0.65/0.98 (assume @p47 (forall @t169 (or @t124 (tptp.c_lessequals @t3 @t122 @t1)))) % 0.65/0.98 (assume @p48 (forall @t170 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t1) @t2 @t1)))) % 0.65/0.98 (assume @p49 (forall @t112 (or @t111 @t110 @t171 @t108 @t22))) % 0.65/0.98 (assume @p50 (forall @t112 (or @t111 @t110 @t171 @t172 (not (tptp.c_lessequals @t20 @t51 @t1))))) % 0.65/0.98 (assume @p51 (forall @t135 (or @t134 (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Suc @t173)))) @t131))) % 0.65/0.98 (assume @p52 (forall @t177 (or (not (= @t176 (tptp.c_Type_Otype_OAtom @t174))) @t175))) % 0.65/0.98 (assume @p53 (forall @t34 (or @t180 @t179))) % 0.65/0.98 (assume @p54 (forall @t34 (or @t178 @t181))) % 0.65/0.98 (assume @p55 (forall @t184 (or @t183 (not @t182)))) % 0.65/0.98 (assume @p56 (forall @t184 (or @t182 @t185))) % 0.65/0.98 (assume @p57 (forall @t191 (or @t190 @t187))) % 0.65/0.98 (assume @p58 (forall @t191 (or @t190 (not (tptp.c_HOL_Oord__class_Oless @t2 @t6 tptp.tc_nat))))) % 0.65/0.98 (assume @p59 (forall @t152 (or @t193 (not (tptp.c_HOL_Oord__class_Oless @t192 @t62 tptp.tc_nat))))) % 0.65/0.98 (assume @p60 (forall @t196 (or (tptp.c_HOL_Oord__class_Oless @t59 @t195 tptp.tc_nat) @t194))) % 0.65/0.98 (assume @p61 (forall @t198 (or (tptp.c_HOL_Oord__class_Oless @t59 @t197 tptp.tc_nat) @t194))) % 0.65/0.98 (assume @p62 (forall @t34 (or (= @t201 (tptp.c_Suc @t33)) @t200))) % 0.65/0.98 (assume @p63 (forall (@list @t1 @t19 @t51) (or @t204 (= @t55 @t203)))) % 0.65/0.98 (assume @p64 (forall @t29 (or @t110 (= @t27 @t205)))) % 0.65/0.98 (assume @p65 (forall @t34 (= @t140 @t206))) % 0.65/0.98 (assume @p66 (forall (@list @t30 @t61 @t62 @t32) (or (not (= (tptp.hAPP @t139 @t61) @t208)) @t207 @t178))) % 0.65/0.98 (assume @p67 (forall @t168 (or @t204 (= @t211 (tptp.hAPP @t209 @t2))))) % 0.65/0.98 (assume @p68 (forall (@list @t1 @t2 @t3 @t212) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t25 @t211 @t212 @t1 @t1) (tptp.hAPP @t210 (tptp.c_List_Ofoldl @t25 @t3 @t212 @t1 @t1)))))) % 0.65/0.98 (assume @p69 (forall @t215 (or (tptp.c_HOL_Oord__class_Oless @t214 @t213 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t30 @t61 tptp.tc_nat)) @t179))) % 0.65/0.98 (assume @p70 (forall @t101 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t98 @t97)) @t113))) % 0.65/0.98 (assume @p71 (forall @t218 (or @t124 @t217 @t160 (not @t216)))) % 0.65/0.98 (assume @p72 (forall (@list @t32 @t1) (= (tptp.c_List_Odrop @t32 @t219 @t1) @t219))) % 0.65/0.98 (assume @p73 (forall (@list @t223 @t222 @t2 @t227 @t226 @t224 @t221 @t220 @t1) (or (= (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP @t228 @t227)) @t229) (tptp.hAPP @t228 (tptp.hAPP (tptp.hAPP @t63 @t227) @t226))) @t225))) % 0.65/0.98 (assume @p74 (forall (@list @t32 @t71 @t62) (= (tptp.c_Lambda_Oliftn @t43 @t71 @t62) (tptp.c_Lambda_Olift @t230 @t62)))) % 0.65/0.98 (assume @p75 (forall @t168 (or @t28 @t233 @t232 @t231 (= @t3 @t20)))) % 0.65/0.98 (assume @p76 (forall @t168 (or @t28 @t233 @t232 @t231 (= @t2 @t20)))) % 0.65/0.98 (assume @p77 (forall @t168 (or @t124 @t236 @t235))) % 0.65/0.98 (assume @p78 (forall @t168 (or @t124 (not @t236) @t234))) % 0.65/0.98 (assume @p79 (forall @t168 (or @t124 (= @t122 @t2) @t159))) % 0.65/0.98 (assume @p80 (forall @t125 (or @t204 (= @t238 (tptp.hAPP (tptp.hAPP @t25 @t211) @t6))))) % 0.65/0.98 (assume @p81 (forall @t125 (or @t240 (= @t238 (tptp.hAPP @t209 @t239))))) % 0.65/0.98 (assume @p82 (forall @t191 (= (tptp.hAPP @t241 @t189) (tptp.hAPP @t188 @t242)))) % 0.65/0.98 (assume @p83 (forall @t105 (= (tptp.hAPP (tptp.hAPP @t63 @t140) @t62) (tptp.hAPP @t139 @t104)))) % 0.65/0.98 (assume @p84 (forall @t248 (or @t110 @t247))) % 0.65/0.98 (assume @p85 (forall @t248 (or @t110 (= @t244 (tptp.hAPP @t53 @t55))))) % 0.65/0.98 (assume @p86 (forall @t248 (or @t249 @t247))) % 0.65/0.98 (assume @p87 (forall @t253 (or @t204 (= @t252 (tptp.hAPP @t250 @t50))))) % 0.65/0.98 (assume @p88 (forall @t248 (or @t204 (= @t246 (tptp.hAPP @t250 @t23))))) % 0.65/0.98 (assume @p89 (forall @t253 (or @t204 (= @t252 (tptp.hAPP @t202 (tptp.hAPP @t26 @t50)))))) % 0.65/0.98 (assume @p90 (forall @t248 (or @t204 @t247))) % 0.65/0.98 (assume @p91 (forall @t184 (or @t256 @t255 (not @t254)))) % 0.65/0.98 (assume @p92 (forall (@list @t1 @t2 @t3 @t6 @t257) (or @t240 (not (= @t238 (tptp.hAPP @t209 @t257))) (= @t239 @t257)))) % 0.65/0.98 (assume @p93 (forall @t198 (or (tptp.c_lessequals @t59 @t197 tptp.tc_nat) @t60))) % 0.65/0.98 (assume @p94 (forall @t196 (or (tptp.c_lessequals @t59 @t195 tptp.tc_nat) @t60))) % 0.65/0.98 (assume @p95 (forall (@list @t62 @t32 @t30) (or @t260 @t259))) % 0.65/0.98 (assume @p96 (forall @t105 (or @t46 @t259))) % 0.65/0.98 (assume @p97 (forall @t191 (or @t261 (not (tptp.c_lessequals @t2 @t6 tptp.tc_nat))))) % 0.65/0.98 (assume @p98 (forall @t191 (or @t261 (not @t262)))) % 0.65/0.98 (assume @p99 (forall @t125 (or @t263 (= (tptp.c_HOL_Ominus__class_Ominus @t122 @t6 @t1) (tptp.c_Orderings_Oord__class_Omax (tptp.c_HOL_Ominus__class_Ominus @t2 @t6 @t1) (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t1) @t1))))) % 0.65/0.98 (assume @p100 (forall @t270 (or (tptp.c_Type_Otypings @t266 @t265 @t269) @t268))) % 0.65/0.98 (assume @p101 (forall @t168 (or @t124 @t12 @t158))) % 0.65/0.98 (assume @p102 (forall @t170 (or @t124 (not @t273) @t272))) % 0.65/0.98 (assume @p103 (forall @t170 (or @t124 @t271 @t273))) % 0.65/0.98 (assume @p104 (forall @t168 (or @t124 @t13 @t159))) % 0.65/0.98 (assume @p105 (forall @t169 (or @t124 @t158 @t12))) % 0.65/0.98 (assume @p106 (forall @t168 (or @t124 @t235 @t5))) % 0.65/0.98 (assume @p107 (forall @t169 (or @t124 @t4 @t234))) % 0.65/0.98 (assume @p108 (forall @t169 (or @t17 @t159 @t13))) % 0.65/0.98 (assume @p109 (forall @t274 (or @t146 (tptp.c_HOL_Oord__class_Oless @t69 @t144 tptp.tc_nat) @t131))) % 0.65/0.98 (assume @p110 (forall @t277 (or @t276 (= (tptp.c_Lambda_Osubst @t275 @t70 @t2) @t70)))) % 0.65/0.98 (assume @p111 (forall (@list @t280 @t278 @t19 @t1) (= (tptp.c_List_Ofoldr @t280 @t279 @t19 @t278 @t1) @t19))) % 0.65/0.98 (assume @p112 (forall (@list @t72 @t264) (or @t282 (not (tptp.hBOOL (tptp.hAPP @t72 @t281)))))) % 0.65/0.98 (assume @p113 (= @t85 @t284)) % 0.65/0.98 (assume @p114 (forall @t112 (or @t111 @t110 @t109 @t285 @t22))) % 0.65/0.98 (assume @p115 (forall @t215 (or (tptp.c_lessequals @t214 @t213 tptp.tc_nat) @t47))) % 0.65/0.98 (assume @p116 (forall (@list @t30 @t61 @t32) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t30 @t61 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t32 @t61 tptp.tc_nat) tptp.tc_nat) @t47))) % 0.65/0.98 (assume @p117 (forall @t291 (or @t290 @t47 @t287 @t286))) % 0.65/0.98 (assume @p118 (forall @t105 (or @t46 (not @t290) @t287 @t286))) % 0.65/0.98 (assume @p119 (forall @t184 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t206 tptp.tc_nat) @t69))) % 0.65/0.98 (assume @p120 (forall @t153 (= @t293 (tptp.c_HOL_Ominus__class_Ominus @t59 @t292 tptp.tc_nat)))) % 0.65/0.98 (assume @p121 (forall @t295 (or @t100 (tptp.c_lessequals @t128 @t294 @t1) @t22 @t49))) % 0.65/0.98 (assume @p122 (forall (@list @t1 @t296 @t3 @t2) (or @t240 (not (= (tptp.c_HOL_Ominus__class_Ominus @t296 @t3 @t1) @t297)) (= @t296 @t3)))) % 0.65/0.98 (assume @p123 (forall (@list @t1 @t2 @t299 @t298) (or @t240 (not (= @t297 @t300)) (= @t299 @t298)))) % 0.65/0.98 (assume @p124 (forall @t291 (or (not (= @t289 @t288)) @t287 @t286 @t113))) % 0.65/0.98 (assume @p125 (forall @t34 (or @t302 @t301 @t86))) % 0.65/0.98 (assume @p126 (forall @t34 (or @t302 @t304 @t303))) % 0.65/0.98 (assume @p127 (forall @t34 (= @t143 @t142))) % 0.65/0.98 (assume @p128 (forall @t291 (= (tptp.c_HOL_Ominus__class_Ominus @t258 @t104 tptp.tc_nat) @t33))) % 0.65/0.98 (assume @p129 (forall @t305 (= (tptp.c_HOL_Ominus__class_Ominus @t118 @t208 tptp.tc_nat) @t33))) % 0.65/0.98 (assume @p130 (forall @t87 (tptp.c_HOL_Oord__class_Oless @t69 @t43 tptp.tc_nat))) % 0.65/0.98 (assume @p131 (forall @t42 (tptp.c_HOL_Oord__class_Oless @t69 @t39 tptp.tc_nat))) % 0.65/0.98 (assume @p132 (forall @t309 (= (tptp.c_Nat_Osize__class_Osize @t308 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t63 (tptp.c_Nat_Osize__class_Osize @t307 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t306 tptp.tc_Lambda_OdB))) @t85)))) % 0.65/0.98 (assume @p133 (forall @t311 (or @t124 @t310 (not (tptp.c_HOL_Oord__class_Oless @t2 @t19 @t1))))) % 0.65/0.98 (assume @p134 (forall @t311 (or @t124 @t310 (not (tptp.c_HOL_Oord__class_Oless @t2 @t23 @t1))))) % 0.65/0.98 (assume @p135 (forall @t11 (or @t124 @t312 (not @t9)))) % 0.65/0.98 (assume @p136 (forall @t11 (or @t124 @t312 @t8))) % 0.65/0.98 (assume @p137 (forall @t18 (or @t124 @t16 @t313))) % 0.65/0.98 (assume @p138 (forall @t163 (or @t124 @t14 @t313))) % 0.65/0.98 (assume @p139 (forall @t317 (= @t315 @t316))) % 0.65/0.98 (assume @p140 (forall @t34 (tptp.c_lessequals @t33 @t30 tptp.tc_nat))) % 0.65/0.98 (assume @p141 (forall @t321 (or @t320 (= @t315 @t70)))) % 0.65/0.98 (assume @p142 (forall @t29 (or @t28 @t325 @t324 @t323))) % 0.65/0.98 (assume @p143 (forall @t295 (or @t100 @t329 @t328 @t22 @t327))) % 0.65/0.98 (assume @p144 (forall @t291 (or (= (tptp.c_HOL_Ominus__class_Ominus @t289 @t288 tptp.tc_nat) @t33) @t287 @t286))) % 0.65/0.98 (assume @p145 (forall @t153 (= @t293 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t59 @t62 tptp.tc_nat) @t58 tptp.tc_nat)))) % 0.65/0.98 (assume @p146 (forall (@list @t1 @t19 @t330) (or @t333 (= @t332 (tptp.hAPP @t26 @t331))))) % 0.65/0.98 (assume @p147 (forall @t29 (or @t28 @t335 @t334 @t22))) % 0.65/0.98 (assume @p148 (forall @t29 (or @t28 @t335 @t24 @t107))) % 0.65/0.98 (assume @p149 (forall (@list @t19 @t51 @t23) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t19 @t51 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t23 @t51 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t51 @t19 tptp.tc_nat)) @t336))) % 0.65/0.98 (assume @p150 (forall @t34 (or @t337 (= @t31 @t32) @t179))) % 0.65/0.98 (assume @p151 (forall @t34 (or @t47 @t185))) % 0.65/0.98 (assume @p152 (forall @t184 (or @t183 @t46))) % 0.65/0.98 (assume @p153 (forall @t191 (or (not (= (tptp.hAPP @t241 @t3) @t242)) @t338))) % 0.65/0.98 (assume @p154 (forall @t291 (or (not (= @t258 @t104)) @t113))) % 0.65/0.98 (assume @p155 (forall @t305 (or (not (= @t118 @t208)) @t113))) % 0.65/0.98 (assume @p156 (forall @t125 (or @t340 @t339 (not (= @t211 @t239)) @t338))) % 0.65/0.98 (assume @p157 (forall @t248 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t342 @t341))) % 0.65/0.98 (assume @p158 (forall @t248 (or @t343 @t342 @t341))) % 0.65/0.98 (assume @p159 (forall @t112 (or @t343 (not (= @t205 @t203)) @t341))) % 0.65/0.98 (assume @p160 (forall @t346 (or @t345 @t344))) % 0.65/0.98 (assume @p161 (forall @t105 (or (tptp.c_lessequals @t30 (tptp.c_HOL_Ominus__class_Ominus @t206 @t62 tptp.tc_nat) tptp.tc_nat) @t287))) % 0.65/0.98 (assume @p162 (forall (@list @t222 @t223 @t2 @t3 @t226 @t224 @t221 @t220 @t1) (or (= (tptp.hAPP (tptp.hAPP @t222 @t349) @t226) (tptp.hAPP @t347 (tptp.hAPP (tptp.hAPP @t222 @t3) @t226))) @t225))) % 0.65/0.98 (assume @p163 (forall (@list @t223 @t2 @t224 @t3 @t6 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t348 @t351) (tptp.hAPP (tptp.hAPP @t224 @t349) (tptp.hAPP @t348 @t6))) @t225))) % 0.65/0.98 (assume @p164 (forall (@list @t223 @t2 @t3 @t224 @t222 @t221 @t220 @t1) (or (= @t349 (tptp.hAPP @t352 @t2)) @t225))) % 0.65/0.98 (assume @p165 (forall (@list @t223 @t2 @t3 @t6 @t224 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t348 (tptp.hAPP @t352 @t6)) (tptp.hAPP (tptp.hAPP @t223 @t349) @t6)) @t225))) % 0.65/0.98 (assume @p166 (forall (@list @t223 @t220 @t2 @t224 @t222 @t221 @t1) (or (= (tptp.hAPP @t353 @t2) @t2) @t225))) % 0.65/0.98 (assume @p167 (forall (@list @t223 @t221 @t2 @t224 @t222 @t220 @t1) (or (= (tptp.hAPP @t354 @t2) @t221) @t225))) % 0.65/0.98 (assume @p168 (forall (@list @t224 @t2 @t3 @t223 @t222 @t221 @t220 @t1) (or (= @t356 (tptp.hAPP @t350 @t2)) @t225))) % 0.65/0.98 (assume @p169 (forall (@list @t224 @t2 @t3 @t6 @t223 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t355 @t351) (tptp.hAPP (tptp.hAPP @t224 @t356) @t6)) @t225))) % 0.65/0.98 (assume @p170 (forall (@list @t224 @t221 @t2 @t223 @t222 @t220 @t1) (or (= (tptp.hAPP @t357 @t2) @t2) @t225))) % 0.65/0.98 (assume @p171 (forall @t364 (or (= @t363 (tptp.hAPP @t360 @t50)) @t225))) % 0.65/0.98 (assume @p172 (forall (@list @t224 @t19 @t51 @t223 @t222 @t221 @t220 @t1) (or (= @t359 (tptp.hAPP @t361 @t19)) @t225))) % 0.65/0.98 (assume @p173 (forall @t368 (or (= @t367 (tptp.hAPP @t360 @t23)) @t225))) % 0.65/0.98 (assume @p174 (forall @t364 (or (= @t363 (tptp.hAPP @t361 (tptp.hAPP @t358 @t50))) @t225))) % 0.65/0.98 (assume @p175 (forall @t368 (or (= @t367 (tptp.hAPP @t358 (tptp.hAPP @t369 @t51))) @t225))) % 0.65/0.98 (assume @p176 (forall (@list @t224 @t19 @t23 @t51 @t50 @t223 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t366 @t362) (tptp.hAPP @t360 (tptp.hAPP @t369 @t50))) @t225))) % 0.65/0.98 (assume @p177 (forall @t371 (or (not (= @t39 (tptp.c_Suc @t3))) @t370))) % 0.65/0.98 (assume @p178 (forall @t177 (or (not (= (tptp.c_Suc @t133) @t372)) @t175))) % 0.65/0.98 (assume @p179 (forall (@list @t1 @t330 @t19) (or @t249 (= (tptp.c_List_Ofoldr @t25 @t330 @t19 @t1 @t1) @t332)))) % 0.65/0.98 (assume @p180 (tptp.c_HOL_Oord__class_Oless @t69 @t85 tptp.tc_nat)) % 0.65/0.98 (assume @p181 (forall @t84 (or @t83 @t373 @t323))) % 0.65/0.98 (assume @p182 (forall @t84 (or @t83 @t322 @t374))) % 0.65/0.98 (assume @p183 (forall @t84 (or @t375 @t322 @t374))) % 0.65/0.98 (assume @p184 (forall @t84 (or @t375 @t373 @t323))) % 0.65/0.98 (assume @p185 (forall @t34 (or @t302 @t301 @t303))) % 0.65/0.98 (assume @p186 (forall @t34 (or @t302 @t304 @t86))) % 0.65/0.98 (assume @p187 (forall @t376 (or @t100 @t326 @t24 (not @t329)))) % 0.65/0.98 (assume @p188 (forall (@list @t1 @t2 @t212) (or @t333 (= (tptp.hAPP @t210 (tptp.c_List_Ofoldl @t25 @t20 @t212 @t1 @t1)) (tptp.c_List_Ofoldl @t25 @t2 @t212 @t1 @t1))))) % 0.65/0.98 (assume @p189 (forall @t163 (or @t124 @t155 @t377))) % 0.65/0.98 (assume @p190 (forall @t18 (or @t124 @t154 @t377))) % 0.65/0.98 (assume @p191 (forall @t11 (or @t124 @t216 @t378))) % 0.65/0.98 (assume @p192 (forall @t11 (or @t124 @t216 @t161))) % 0.65/0.98 (assume @p193 (forall @t311 (or @t124 @t379 (not (tptp.c_lessequals @t2 @t23 @t1))))) % 0.65/0.98 (assume @p194 (forall @t311 (or @t124 @t379 (not (tptp.c_lessequals @t2 @t19 @t1))))) % 0.65/0.98 (assume @p195 (forall (@list @t1 @t23 @t2 @t19) (or @t124 @t165 @t380))) % 0.65/0.98 (assume @p196 (forall (@list @t1 @t19 @t2 @t23) (or @t124 @t164 @t380))) % 0.65/0.98 (assume @p197 (forall @t383 (or @t382 (not @t381)))) % 0.65/0.98 (assume @p198 (forall @t384 (or @t381 (not @t382)))) % 0.65/0.98 (assume @p199 (forall @t129 (or @t100 (tptp.c_HOL_Oord__class_Oless @t20 @t128 @t1) @t107))) % 0.65/0.98 (assume @p200 (forall @t218 (or @t124 @t7 @t9 (not @t312)))) % 0.65/0.98 (assume @p201 (forall @t321 (or (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t315) @t70) @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_InductTermi_OIT @t70)) (not (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t95 @t70 @t69) @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))) % 0.65/0.98 (assume @p202 (forall (@list @t280 @t19 @t278 @t1) (= (tptp.c_List_Ofoldl @t280 @t19 @t279 @t1 @t278) @t19))) % 0.65/0.98 (assume @p203 (forall @t80 (or (= (tptp.c_Lambda_Osubstn @t79 @t70 @t62) @t79) @t78 @t77))) % 0.65/0.98 (assume @p204 (tptp.c_InductTermi_OIT tptp.v_s____)) % 0.65/0.98 (assume @p205 (forall (@list @t88 @t385) (or (not (= @t91 @t386)) (= @t88 @t385)))) % 0.65/0.98 (assume @p206 (forall @t34 (= (tptp.c_HOL_Ominus__class_Ominus @t31 @t43 tptp.tc_nat) @t33))) % 0.65/0.98 (assume @p207 (forall @t29 (or @t28 @t325 @t324 @t388))) % 0.65/0.98 (assume @p208 (forall @t29 (or @t28 @t325 @t389 @t323))) % 0.65/0.98 (assume @p209 (forall @t34 (or @t113 @t178 @t45))) % 0.65/0.98 (assume @p210 (forall @t34 (or @t113 @t391 @t182))) % 0.65/0.98 (assume @p211 (forall @t184 (or @t392 @t391 @t182))) % 0.65/0.98 (assume @p212 (forall @t321 (or @t320 @t344))) % 0.65/0.98 (assume @p213 (forall @t153 (or (= @t394 @t393) @t116))) % 0.65/0.98 (assume @p214 (forall @t383 (or (= @t397 @t395) @t116))) % 0.65/0.98 (assume @p215 (forall @t153 (or (= (tptp.c_HOL_Ominus__class_Ominus @t59 @t120 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t67 @t58 tptp.tc_nat)) @t116))) % 0.65/0.98 (assume @p216 (forall (@list @t58 @t32 @t62) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t58 @t32 tptp.tc_nat) @t62 tptp.tc_nat) @t398))) % 0.65/0.98 (assume @p217 (forall @t400 (= (tptp.c_Type_Otype_Otype__rec @t93 @t92 @t176 @t1) @t399))) % 0.65/0.98 (assume @p218 (forall (@list @t95 @t318 @t70) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t95 @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t319) @t96))) % 0.65/0.98 (assume @p219 (forall @t170 (= @t219 @t401))) % 0.65/0.98 (assume @p220 (= @t85 @t102)) % 0.65/0.98 (assume @p221 (forall @t168 (or @t17 @t12 @t158 @t235))) % 0.65/0.98 (assume @p222 (forall @t42 (not @t276))) % 0.65/0.98 (assume @p223 (forall @t87 (not (tptp.c_HOL_Oord__class_Oless @t32 @t32 tptp.tc_nat)))) % 0.65/0.98 (assume @p224 (forall @t170 (or @t10 @t272))) % 0.65/0.98 (assume @p225 (forall @t170 (or @t124 @t272))) % 0.65/0.98 (assume @p226 (forall @t170 (or @t17 @t272))) % 0.65/0.98 (assume @p227 (forall @t403 (or (not (tptp.c_lessequals @t59 @t402 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t402 @t59 tptp.tc_nat) @t62)))) % 0.65/0.98 (assume @p228 (forall @t405 (or (= @t404 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t66 @t32))) @t193))) % 0.65/0.98 (assume @p229 (forall @t408 (tptp.c_Lambda_Obeta @t407 (tptp.c_Lambda_Osubst @t70 @t71 @t69)))) % 0.65/0.98 (assume @p230 (forall @t29 (or @t28 @t335 @t334 @t107))) % 0.65/0.98 (assume @p231 (forall @t184 (tptp.c_lessequals @t32 @t206 tptp.tc_nat))) % 0.65/0.98 (assume @p232 (forall @t184 (tptp.c_lessequals @t32 @t140 tptp.tc_nat))) % 0.65/0.98 (assume @p233 (forall @t149 (tptp.c_lessequals @t30 @t148 tptp.tc_nat))) % 0.65/0.98 (assume @p234 (forall @t184 (= (tptp.hAPP (tptp.hAPP @t63 @t409) @t30) (tptp.c_Orderings_Oord__class_Omax @t32 @t30 tptp.tc_nat)))) % 0.65/0.98 (assume @p235 (forall @t169 (or @t375 @t4 @t12 @t370))) % 0.65/0.98 (assume @p236 (forall @t168 (or @t124 @t370 @t4 @t12))) % 0.65/0.98 (assume @p237 (forall @t34 (or @t113 @t200 @t47))) % 0.65/0.98 (assume @p238 (forall @t184 (or @t182 @t178 @t113))) % 0.65/0.98 (assume @p239 (forall (@list @t72 @t32 @t30) (or (tptp.hBOOL (tptp.hAPP @t145 @t30)) @t182 @t113 @t178))) % 0.65/0.98 (assume @p240 (forall (@list @t3 @t2) (or (tptp.c_HOL_Oord__class_Oless @t3 @t2 tptp.tc_nat) @t186 @t370))) % 0.65/0.98 (assume @p241 (forall @t168 (or @t10 @t370 @t159 @t235))) % 0.65/0.98 (assume @p242 (forall @t169 (or @t124 @t4 @t12 @t370))) % 0.65/0.98 (assume @p243 (forall @t168 (or @t10 @t370 @t235 @t159))) % 0.65/0.98 (assume @p244 (forall @t169 (or @t124 @t4 @t370 @t12))) % 0.65/0.98 (assume @p245 (forall @t168 (or @t124 @t370 @t12 @t4))) % 0.65/0.98 (assume @p246 (forall @t29 (or @t263 @t48 (not @t410)))) % 0.65/0.98 (assume @p247 (forall @t29 (or @t263 @t410 @t49))) % 0.65/0.98 (assume @p248 (forall @t170 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t2 @t1) @t2)))) % 0.65/0.98 (assume @p249 (forall @t57 (or @t413 @t412 @t411 @t327))) % 0.65/0.98 (assume @p250 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t67 @t65 tptp.tc_nat) @t207 @t194))) % 0.65/0.98 (assume @p251 (forall @t371 (or @t262 @t187))) % 0.65/0.98 (assume @p252 (forall @t34 (or @t46 @t179))) % 0.65/0.98 (assume @p253 (forall @t168 (or @t10 @t234 @t13))) % 0.65/0.98 (assume @p254 (forall @t168 (or @t17 @t234 @t13))) % 0.65/0.98 (assume @p255 (forall @t417 (or @t416 @t415))) % 0.65/0.98 (assume @p256 (forall @t417 (or @t416 @t418))) % 0.65/0.98 (assume @p257 (forall @t346 (or @t345 (= @t70 @t315)))) % 0.65/0.98 (assume @p258 (forall (@list @t30 @t58 @t62) (or (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t121 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t258 @t119 tptp.tc_nat)) @t116))) % 0.65/0.98 (assume @p259 (forall @t29 (or @t263 @t326 (not @t419)))) % 0.65/0.98 (assume @p260 (forall @t29 (or @t263 @t419 @t327))) % 0.65/0.98 (assume @p261 (forall @t101 (or @t100 @t420 @t179))) % 0.65/0.98 (assume @p262 (forall @t101 (or @t100 @t178 (not @t420)))) % 0.65/0.98 (assume @p263 (forall @t87 (tptp.c_HOL_Oord__class_Oless @t32 @t43 tptp.tc_nat))) % 0.65/0.98 (assume @p264 (forall @t42 @t40)) % 0.65/0.98 (assume @p265 (forall @t152 (or (tptp.c_HOL_Oord__class_Oless @t421 @t62 tptp.tc_nat) @t398 @t194))) % 0.65/0.98 (assume @p266 (forall @t423 (or @t111 @t422 @t49))) % 0.65/0.98 (assume @p267 (forall @t248 (or @t111 @t48 (not @t422)))) % 0.65/0.98 (assume @p268 (forall @t426 (or @t111 @t425 @t49))) % 0.65/0.98 (assume @p269 (forall @t248 (or @t111 @t48 (not @t425)))) % 0.65/0.99 (assume @p270 (forall @t423 (or @t56 @t422 @t49))) % 0.65/0.99 (assume @p271 (forall @t426 (or @t56 @t425 @t49))) % 0.65/0.99 (assume @p272 (forall @t152 (or (tptp.c_lessequals @t67 @t292 tptp.tc_nat) @t60))) % 0.65/0.99 (assume @p273 (forall @t105 (or @t46 (not @t427)))) % 0.65/0.99 (assume @p274 (forall @t305 (or @t427 @t47))) % 0.65/0.99 (assume @p275 (forall (@list @t95 @t70 @t71) (or (not (= @t428 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t71 @t314 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t428 @t71)))) % 0.65/0.99 (assume @p276 (forall @t436 (or (= @t435 (tptp.hAPP @t433 (tptp.hAPP @t431 @t429))) @t225))) % 0.65/0.99 (assume @p277 (forall @t436 (or (= @t435 (tptp.hAPP @t437 @t429)) @t225))) % 0.65/0.99 (assume @p278 (forall @t442 (or (= @t441 (tptp.hAPP @t431 (tptp.hAPP @t439 @t432))) @t225))) % 0.65/0.99 (assume @p279 (forall @t442 (or (= @t441 (tptp.hAPP @t437 @t438)) @t225))) % 0.65/0.99 (assume @p280 (forall @t444 (or (= @t443 (tptp.hAPP @t433 (tptp.hAPP @t440 @t429))) @t225))) % 0.65/0.99 (assume @p281 (forall @t444 (or (= @t443 (tptp.hAPP @t431 (tptp.hAPP @t439 @t434))) @t225))) % 0.65/0.99 (assume @p282 (forall @t444 (or (= @t443 (tptp.hAPP @t437 (tptp.hAPP @t439 @t429))) @t225))) % 0.65/0.99 (assume @p283 (forall (@list @t223 @t19 @t220 @t224 @t222 @t221 @t1) (or (= (tptp.hAPP @t445 @t220) @t19) @t225))) % 0.65/0.99 (assume @p284 (forall (@list @t223 @t220 @t19 @t224 @t222 @t221 @t1) (or (= (tptp.hAPP @t353 @t19) @t19) @t225))) % 0.65/0.99 (assume @p285 (forall (@list @t223 @t19 @t221 @t224 @t222 @t220 @t1) (or (= (tptp.hAPP @t445 @t221) @t221) @t225))) % 0.65/0.99 (assume @p286 (forall (@list @t223 @t221 @t19 @t224 @t222 @t220 @t1) (or (= (tptp.hAPP @t354 @t19) @t221) @t225))) % 0.65/0.99 (assume @p287 (forall (@list @t223 @t224 @t19 @t23 @t51 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t447 @t51) (tptp.hAPP (tptp.hAPP @t224 (tptp.hAPP @t445 @t51)) (tptp.hAPP @t446 @t51))) @t225))) % 0.65/0.99 (assume @p288 (forall (@list @t223 @t19 @t23 @t224 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t445 @t23) (tptp.hAPP @t446 @t19)) @t225))) % 0.65/0.99 (assume @p289 (forall (@list @t224 @t19 @t221 @t223 @t222 @t220 @t1) (or (= (tptp.hAPP @t358 @t221) @t19) @t225))) % 0.65/0.99 (assume @p290 (forall (@list @t224 @t221 @t19 @t223 @t222 @t220 @t1) (or (= (tptp.hAPP @t357 @t19) @t19) @t225))) % 0.65/0.99 (assume @p291 (forall (@list @t224 @t30 @t223 @t220 @t222 @t221 @t1) (or (= (tptp.hAPP @t448 @t30) (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP (tptp.hAPP @t224 @t220) @t220)) @t30)) @t225))) % 0.65/0.99 (assume @p292 (forall (@list @t224 @t30 @t223 @t19 @t220 @t222 @t221 @t1) (or (= (tptp.hAPP @t448 @t450) @t449) @t225))) % 0.65/0.99 (assume @p293 (forall (@list @t224 @t223 @t19 @t30 @t220 @t222 @t221 @t1) (or (= (tptp.hAPP @t451 @t30) @t449) @t225))) % 0.65/0.99 (assume @p294 (forall (@list @t224 @t223 @t19 @t30 @t23 @t222 @t221 @t220 @t1) (or (= (tptp.hAPP @t451 (tptp.hAPP @t446 @t30)) (tptp.hAPP @t447 @t30)) @t225))) % 0.65/0.99 (assume @p295 (forall (@list @t72 @t93 @t92 @t452) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Type_Otype_Otype__case @t93 @t92 (tptp.c_Type_Otype_OAtom @t452) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 (tptp.hAPP @t93 @t452)))))) % 0.65/0.99 (assume @p296 (forall (@list @t72 @t93 @t92 @t133) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Type_Otype_Otype__case @t93 @t92 @t176 tptp.t_a)))) @t453))) % 0.65/0.99 (assume @p297 (forall @t34 (or @t454 @t301 @t86))) % 0.65/0.99 (assume @p298 (forall @t34 (or @t454 @t304 @t303))) % 0.65/0.99 (assume @p299 (forall @t105 (= (tptp.c_HOL_Ominus__class_Ominus @t201 (tptp.c_Suc @t62) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t33 @t62 tptp.tc_nat)))) % 0.65/0.99 (assume @p300 (forall @t317 (or (tptp.c_InductTermi_OIT @t315) @t455))) % 0.65/0.99 (assume @p301 (forall (@list @t1 @t19 @t23 @t51 @t50) (or @t204 (= (tptp.hAPP @t245 @t251) (tptp.hAPP @t250 @t54))))) % 0.65/0.99 (assume @p302 (forall @t456 (= (tptp.c_Nat_Osize__class_Osize @t91 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t63 (tptp.c_Nat_Osize__class_Osize @t88 tptp.tc_Lambda_OdB)) @t85)))) % 0.65/0.99 (assume @p303 (forall @t457 (or @t100 (not (tptp.c_HOL_Oord__class_Oless @t98 @t20 @t1))))) % 0.65/0.99 (assume @p304 (forall @t168 (or @t124 (= @t122 (tptp.c_Orderings_Oord__class_Omax @t3 @t2 @t1))))) % 0.65/0.99 (assume @p305 (forall @t295 (or @t100 (not (= @t128 @t294)) @t458 @t328 @t24 @t22))) % 0.65/0.99 (assume @p306 (forall @t405 (or (= @t404 @t79) @t459))) % 0.65/0.99 (assume @p307 (forall @t87 (tptp.c_lessequals @t43 @t43 tptp.tc_nat))) % 0.65/0.99 (assume @p308 (forall (@list @t59 @t62 @t2 @t1) (= (tptp.c_List_Odrop @t59 (tptp.c_List_Oreplicate @t62 @t2 @t1) @t1) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t62 @t59 tptp.tc_nat) @t2 @t1)))) % 0.65/0.99 (assume @p309 (forall @t460 (= @t401 @t219))) % 0.65/0.99 (assume @p310 (forall @t461 (or (= (tptp.c_HOL_Ominus__class_Ominus @t32 (tptp.c_HOL_Ominus__class_Ominus @t32 @t59 tptp.tc_nat) tptp.tc_nat) @t59) (not (tptp.c_lessequals @t59 @t32 tptp.tc_nat))))) % 0.65/0.99 (assume @p311 (forall @t317 (= @t316 @t315))) % 0.65/0.99 (assume @p312 (forall @t277 (or @t276 (= (tptp.c_Lambda_Osubstn @t275 @t70 @t2) (tptp.c_Lambda_Oliftn @t2 @t70 @t69))))) % 0.65/0.99 (assume @p313 (forall @t34 (or (= @t30 @t43) @t46 (not @t462)))) % 0.65/0.99 (assume @p314 (forall @t42 (or @t276 @t40))) % 0.65/0.99 (assume @p315 (forall @t34 (or @t179 @t391))) % 0.65/0.99 (assume @p316 (forall @t184 (or @t390 @t178))) % 0.65/0.99 (assume @p317 (forall @t125 (or @t111 (= (tptp.hAPP (tptp.hAPP @t25 @t122) @t6) (tptp.c_Orderings_Oord__class_Omax @t239 @t237 @t1))))) % 0.65/0.99 (assume @p318 (forall @t295 (or @t100 (not (= @t464 @t463)) @t458 @t24 @t22))) % 0.65/0.99 (assume @p319 (forall @t125 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t122 @t6 @t1) @t465)))) % 0.65/0.99 (assume @p320 (forall @t125 (or @t124 (= @t465 (tptp.c_Orderings_Oord__class_Omax @t3 (tptp.c_Orderings_Oord__class_Omax @t2 @t6 @t1) @t1))))) % 0.65/0.99 (assume @p321 (forall @t138 (or @t100 (tptp.c_lessequals @t20 @t97 @t1)))) % 0.65/0.99 (assume @p322 (forall @t457 (or @t100 (tptp.c_lessequals @t20 @t98 @t1)))) % 0.65/0.99 (assume @p323 (forall @t408 (or (tptp.c_Lambda_Obeta @t406 @t467) @t466))) % 0.65/0.99 (assume @p324 (forall @t168 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t122 @t1) @t122)))) % 0.65/0.99 (assume @p325 (forall @t34 (= (tptp.c_HOL_Ominus__class_Ominus @t140 @t32 tptp.tc_nat) @t30))) % 0.65/0.99 (assume @p326 (forall @t184 (= (tptp.c_HOL_Ominus__class_Ominus @t206 @t32 tptp.tc_nat) @t30))) % 0.65/0.99 (assume @p327 (forall @t29 (or @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t23 @t1) @t19)))) % 0.65/0.99 (assume @p328 (forall @t400 (= (tptp.c_Type_Otype_Otype__case @t93 @t92 @t176 @t1) @t399))) % 0.65/0.99 (assume @p329 (forall @t57 (or @t413 @t412 @t411 @t49))) % 0.65/0.99 (assume @p330 (forall @t57 (or @t413 @t412 @t52 @t327))) % 0.65/0.99 (assume @p331 (forall (@list @t2 @t32) (or (tptp.c_HOL_Oord__class_Oless @t39 @t43 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t2 @t32 tptp.tc_nat))))) % 0.65/0.99 (assume @p332 (forall @t34 (or @t178 (not @t468)))) % 0.65/0.99 (assume @p333 (forall @t34 (or @t468 @t179))) % 0.65/0.99 (assume @p334 (forall @t34 (or @t254 @t328))) % 0.65/0.99 (assume @p335 (forall @t34 (or @t254 @t469))) % 0.65/0.99 (assume @p336 (forall @t84 (or @t83 @t106 (not @t470)))) % 0.65/0.99 (assume @p337 (forall @t84 (or @t83 @t470 @t107))) % 0.65/0.99 (assume @p338 (forall (@list @t264 @t266 @t71) (or (= @t264 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t473) @t472)) @t471))) % 0.65/0.99 (assume @p339 (forall @t129 (or @t478 @t477 @t476 @t136 @t475 @t474))) % 0.65/0.99 (assume @p340 (forall @t129 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t475 @t474))) % 0.65/0.99 (assume @p341 (forall @t84 (or @t83 (not (= @t81 @t20)) @t474))) % 0.65/0.99 (assume @p342 (forall @t170 (or @t340 @t339 @t479))) % 0.65/0.99 (assume @p343 (forall @t84 (or @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t19 @t1) @t20)))) % 0.65/0.99 (assume @p344 (forall @t84 (or @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t20 @t1) @t19)))) % 0.65/0.99 (assume @p345 (forall @t170 (or @t76 @t479))) % 0.65/0.99 (assume @p346 (forall @t170 (or @t240 @t479))) % 0.65/0.99 (assume @p347 (forall (@list @t1 @t2 @t19) (or @t340 @t339 (not (= @t2 (tptp.hAPP @t210 @t19))) @t474))) % 0.65/0.99 (assume @p348 (forall @t38 (or @t83 @t36))) % 0.65/0.99 (assume @p349 (forall @t168 (or @t340 @t339 (not (= @t480 @t20)) @t370))) % 0.65/0.99 (assume @p350 (forall @t29 (or @t76 @t481 @t458))) % 0.65/0.99 (assume @p351 (forall @t29 (or @t240 @t481 @t458))) % 0.65/0.99 (assume @p352 (forall @t170 (or @t204 (= (tptp.hAPP @t35 @t2) @t2)))) % 0.65/0.99 (assume @p353 (forall @t84 (or @t110 @t482))) % 0.65/0.99 (assume @p354 (forall @t170 (or @t340 @t339 (= @t2 (tptp.hAPP @t210 @t20))))) % 0.65/0.99 (assume @p355 (forall @t84 (or @t110 @t483))) % 0.65/0.99 (assume @p356 (forall @t84 (or @t333 @t482))) % 0.65/0.99 (assume @p357 (forall @t84 (or @t333 @t483))) % 0.65/0.99 (assume @p358 (forall @t84 (or @t204 @t483))) % 0.65/0.99 (assume @p359 (forall @t84 (or @t204 @t482))) % 0.65/0.99 (assume @p360 (tptp.c_lessequals @t69 @t69 tptp.tc_nat)) % 0.65/0.99 (assume @p361 (not (tptp.c_HOL_Oord__class_Oless @t69 @t69 tptp.tc_nat))) % 0.65/0.99 (assume @p362 (forall (@list @t71 @t62) (= (tptp.c_Lambda_Oliftn @t69 @t71 @t62) @t71))) % 0.65/0.99 (assume @p363 (forall @t87 (or @t256 @t86))) % 0.65/0.99 (assume @p364 (forall @t484 (not (= @t31 @t69)))) % 0.65/0.99 (assume @p365 (forall @t485 (not (= @t372 @t69)))) % 0.65/0.99 (assume @p366 (forall @t184 (or (not (= @t409 @t69)) @t127 @t113))) % 0.65/0.99 (assume @p367 (forall @t87 (or @t86 (not (tptp.c_lessequals @t32 @t69 tptp.tc_nat))))) % 0.65/0.99 (assume @p368 (forall @t34 (or @t486 @t86))) % 0.65/0.99 (assume @p369 (forall @t34 (or @t486 @t304))) % 0.65/0.99 (assume @p370 (forall @t484 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t69 tptp.tc_nat) @t30))) % 0.65/0.99 (assume @p371 (forall @t484 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t30 tptp.tc_nat) @t69))) % 0.65/0.99 (assume @p372 (forall (@list @t2 @t19) (or (not (= @t2 (tptp.hAPP @t241 @t19))) (= @t19 @t69)))) % 0.65/0.99 (assume @p373 (forall @t34 (or (not (= @t140 @t30)) @t86))) % 0.65/0.99 (assume @p374 (forall @t484 (not (= @t69 @t31)))) % 0.65/0.99 (assume @p375 (forall @t485 (not (= @t69 @t372)))) % 0.65/0.99 (assume @p376 (forall (@list @t1 @t330) (or @t333 (= (tptp.c_List_Ofoldl @t25 @t20 @t330 @t1 @t1) @t331)))) % 0.65/0.99 (assume @p377 (forall @t487 (or @t60 (= @t58 (tptp.hAPP (tptp.hAPP @t63 (tptp.c_HOL_Ominus__class_Ominus @t58 @t59 tptp.tc_nat)) @t59))))) % 0.65/0.99 (assume @p378 (forall @t184 (or @t488 @t200))) % 0.65/0.99 (assume @p379 (forall @t34 (or (= (tptp.hAPP (tptp.hAPP @t63 @t33) @t32) @t30) @t200))) % 0.65/0.99 (assume @p380 (forall (@list @t223 @t2 @t222 @t226 @t224 @t221 @t220 @t1) (or (= @t490 @t489) @t225))) % 0.65/0.99 (assume @p381 (forall (@list @t223 @t222 @t2 @t226 @t224 @t221 @t220 @t1) (or (= (tptp.hAPP @t347 @t2) @t489) @t225))) % 0.65/0.99 (assume @p382 (forall (@list @t222 @t2 @t226 @t223 @t224 @t221 @t220 @t1) (or (= @t489 @t490) @t225))) % 0.65/0.99 (assume @p383 (forall (@list @t222 @t2 @t32 @t223 @t224 @t221 @t220 @t1) (or (= (tptp.hAPP @t228 @t43) (tptp.hAPP @t348 (tptp.hAPP @t228 @t32))) @t225))) % 0.65/0.99 (assume @p384 (forall @t153 (or (= @t393 @t394) @t116))) % 0.65/0.99 (assume @p385 (forall @t384 (or (= @t395 @t397) @t116))) % 0.65/0.99 (assume @p386 (forall (@list @t32 @t30 @t330 @t1) (= (tptp.c_List_Odrop @t32 (tptp.c_List_Odrop @t30 @t330 @t1) @t1) (tptp.c_List_Odrop @t206 @t330 @t1)))) % 0.65/0.99 (assume @p387 (forall @t376 (or @t100 @t48 @t24 (not (tptp.c_lessequals @t464 @t463 @t1))))) % 0.65/0.99 (assume @p388 (forall @t138 (or @t100 @t491 @t328))) % 0.65/0.99 (assume @p389 (forall @t138 (or @t100 @t256 (not @t491)))) % 0.65/0.99 (assume @p390 (forall (@list @t32 @t2 @t1) (or (not (= @t492 @t219)) @t86))) % 0.65/0.99 (assume @p391 (forall @t94 (= (tptp.c_Lambda_OdB_OdB__rec @t93 @t92 @t89 @t91 @t1) (tptp.hAPP @t90 (tptp.c_Lambda_OdB_OdB__rec @t93 @t92 @t89 @t88 @t1))))) % 0.65/0.99 (assume @p392 (forall (@list @t1 @t32 @t2) (or (not (= @t219 @t492)) @t86))) % 0.65/0.99 (assume @p393 (forall @t34 (or @t46 @t181))) % 0.65/0.99 (assume @p394 (forall @t34 (or @t462 @t47))) % 0.65/0.99 (assume @p395 (forall @t270 (or (tptp.c_Type_Otypings @t266 @t265 @t493) @t268))) % 0.65/0.99 (assume @p396 (forall @t87 (not (tptp.c_lessequals @t43 @t32 tptp.tc_nat)))) % 0.65/0.99 (assume @p397 (forall (@list @t71 @t70) (= (tptp.c_Lambda_Osubstn @t71 @t70 @t69) (tptp.c_Lambda_Osubst @t71 @t70 @t69)))) % 0.65/0.99 (assume @p398 (forall @t105 (or @t178 (not @t494) @t287 @t286))) % 0.65/0.99 (assume @p399 (forall @t291 (or @t494 @t179 @t287 @t286))) % 0.65/0.99 (assume @p400 (forall @t112 (or @t100 @t109 @t285 @t107))) % 0.65/0.99 (assume @p401 (forall (@list @t58 @t257 @t59) (or (= (tptp.c_Lambda_Osubst @t496 @t257 @t59) @t496) @t495))) % 0.65/0.99 (assume @p402 (forall (@list @t72 @t93 @t92 @t89 @t88) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 @t91 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 @t90))))) % 0.65/0.99 (assume @p403 (forall (@list @t72 @t93 @t92 @t89 @t296) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 (tptp.c_Lambda_OdB_OAbs @t296) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 (tptp.hAPP @t89 @t296)))))) % 0.65/0.99 (assume @p404 (forall (@list @t95 @t59 @t58) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t95 @t79 @t58)) @t455))) % 0.65/0.99 (assume @p405 (forall @t84 (or @t83 @t497 @t388))) % 0.65/0.99 (assume @p406 (forall @t84 (or @t83 @t387 (not @t497)))) % 0.65/0.99 (assume @p407 (forall @t487 (not (tptp.c_HOL_Oord__class_Oless @t192 @t59 tptp.tc_nat)))) % 0.65/0.99 (assume @p408 (forall (@list @t58 @t59) (not (tptp.c_HOL_Oord__class_Oless @t396 @t59 tptp.tc_nat)))) % 0.65/0.99 (assume @p409 (forall @t101 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t33 @t1) (tptp.c_HOL_Ominus__class_Ominus @t98 @t97 @t1)) @t200))) % 0.65/0.99 (assume @p410 (forall @t152 (or @t499 (not @t498)))) % 0.65/0.99 (assume @p411 (forall @t153 (or @t498 (not @t499)))) % 0.65/0.99 (assume @p412 (forall @t87 (not (= @t43 @t32)))) % 0.65/0.99 (assume @p413 (forall @t87 (not (= @t32 @t43)))) % 0.65/0.99 (assume @p414 (forall @t423 (or @t413 @t500 @t327))) % 0.65/0.99 (assume @p415 (forall @t423 (or @t111 @t500 @t327))) % 0.65/0.99 (assume @p416 (forall @t248 (or @t111 @t326 (not @t500)))) % 0.65/0.99 (assume @p417 (forall @t426 (or @t413 @t501 @t327))) % 0.65/0.99 (assume @p418 (forall @t426 (or @t111 @t501 @t327))) % 0.65/0.99 (assume @p419 (forall @t248 (or @t111 @t326 (not @t501)))) % 0.65/0.99 (assume @p420 (forall @t152 (or (tptp.c_HOL_Oord__class_Oless @t67 @t292 tptp.tc_nat) @t194))) % 0.65/0.99 (assume @p421 (forall @t105 (or @t178 (not @t502)))) % 0.65/0.99 (assume @p422 (forall @t305 (or @t502 @t179))) % 0.65/0.99 (assume @p423 (forall @t11 (or @t10 @t160 @t378 @t159))) % 0.65/0.99 (assume @p424 (forall @t11 (or @t10 @t9 @t378 @t5))) % 0.65/0.99 (assume @p425 (forall @t11 (or @t10 @t9 @t8 @t159))) % 0.65/0.99 (assume @p426 (forall @t29 (or @t28 (tptp.c_lessequals @t27 @t20 @t1) @t389 @t388))) % 0.65/0.99 (assume @p427 (forall @t18 (or @t17 @t154 @t156 @t235))) % 0.65/0.99 (assume @p428 (forall @t87 (tptp.c_lessequals @t32 @t32 tptp.tc_nat))) % 0.65/0.99 (assume @p429 (forall @t152 (or (tptp.c_lessequals @t59 @t62 tptp.tc_nat) (not (tptp.c_lessequals @t58 @t62 tptp.tc_nat)) @t60))) % 0.65/0.99 (assume @p430 (forall @t42 @t41)) % 0.65/0.99 (assume @p431 (forall @t170 (or @t10 @t273))) % 0.65/0.99 (assume @p432 (forall @t170 (or @t17 @t273))) % 0.65/0.99 (assume @p433 (forall @t18 (or @t17 @t16 @t15 @t235))) % 0.65/0.99 (assume @p434 (forall @t18 (or @t17 @t16 @t156 @t13))) % 0.65/0.99 (assume @p435 (forall (@list @t1 @t19 @t23 @t50 @t51) (or @t263 (tptp.c_lessequals @t19 @t54 @t1) @t52 (not (tptp.c_lessequals @t19 @t243 @t1))))) % 0.65/0.99 (assume @p436 (forall (@list @t72 @t19 @t23) (or @t130 @t336 (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_HOL_Ominus__class_Ominus @t19 @t23 tptp.tc_nat))))))) % 0.65/0.99 (assume @p437 (= @t284 @t85)) % 0.65/0.99 (assume @p438 (forall @t184 (or @t392 @t391 @t47))) % 0.65/0.99 (assume @p439 (forall @t34 (or @t178 (not @t503)))) % 0.65/0.99 (assume @p440 (forall @t184 (or @t503 @t179))) % 0.65/0.99 (assume @p441 (forall @t34 (or @t178 (not @t337)))) % 0.65/0.99 (assume @p442 (forall @t34 (or @t44 @t179))) % 0.65/0.99 (assume @p443 (forall @t87 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t32 @t85 tptp.tc_nat)) @t32) @t328))) % 0.65/0.99 (assume @p444 (forall @t101 (or @t504 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t140 @t1) (tptp.hAPP (tptp.hAPP @t25 @t98) @t97))))) % 0.65/0.99 (assume @p445 (forall @t34 (or (tptp.c_HOL_Oord__class_Oless @t33 @t30 tptp.tc_nat) @t469 @t328))) % 0.65/0.99 (assume @p446 (forall @t507 (or @t263 @t506 @t505 @t159))) % 0.65/0.99 (assume @p447 (forall @t507 (or @t263 @t506 @t158 (not @t505)))) % 0.65/0.99 (assume @p448 (forall @t507 (or @t263 @t506 @t508 @t13))) % 0.65/0.99 (assume @p449 (forall @t507 (or @t263 @t506 @t12 (not @t508)))) % 0.65/0.99 (assume @p450 (forall @t184 (or @t488 @t178))) % 0.65/0.99 (assume @p451 (forall @t461 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t32 @t421 tptp.tc_nat) @t32 tptp.tc_nat) @t328))) % 0.65/0.99 (assume @p452 (forall (@list @t95 @t70) (= @t428 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t428 @t314 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.65/0.99 (assume @p453 (forall @t34 (or @t454 @t301 @t303))) % 0.65/0.99 (assume @p454 (forall @t34 (or @t454 @t304 @t86))) % 0.65/0.99 (assume @p455 (forall @t510 (or @t10 @t509 @t458 @t172))) % 0.65/0.99 (assume @p456 (forall @t510 (or @t10 @t509 @t172 @t458))) % 0.65/0.99 (assume @p457 (forall @t34 (or @t178 @t113 @t47))) % 0.65/0.99 (assume @p458 (forall @t34 (or @t113 @t178 @t47))) % 0.65/0.99 (assume @p459 (forall @t168 (or @t10 @t370 @t12 @t235))) % 0.65/0.99 (assume @p460 (forall @t168 (or @t10 @t12 @t370 @t235))) % 0.65/0.99 (assume @p461 (forall @t29 (or @t10 @t326 @t458 @t49))) % 0.65/0.99 (assume @p462 (forall @t29 (or @t10 @t326 @t49 @t458))) % 0.65/0.99 (assume @p463 (forall @t168 (or @t124 @t370 @t235 @t12))) % 0.65/0.99 (assume @p464 (forall @t168 (or @t124 @t370 @t12 @t235))) % 0.65/0.99 (assume @p465 (forall @t309 (= (tptp.c_Lambda_OdB_OdB__size @t308) (tptp.hAPP (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t63 (tptp.c_Lambda_OdB_OdB__size @t307)) (tptp.c_Lambda_OdB_OdB__size @t306))) @t85)))) % 0.65/0.99 (assume @p466 (forall @t184 (or @t199 (not @t511)))) % 0.65/0.99 (assume @p467 (forall @t184 (or @t511 @t200))) % 0.65/0.99 (assume @p468 (forall @t456 (= (tptp.c_Lambda_OdB_OdB__size @t91) (tptp.hAPP (tptp.hAPP @t63 (tptp.c_Lambda_OdB_OdB__size @t88)) @t85)))) % 0.65/0.99 (assume @p469 (forall @t29 (or @t10 @t327 @t512))) % 0.65/0.99 (assume @p470 (forall @t168 (or @t124 @t13 @t5))) % 0.65/0.99 (assume @p471 (forall @t184 (or @t199 @t46))) % 0.65/0.99 (assume @p472 (forall @t169 (or @t124 @t158 @t234))) % 0.65/0.99 (assume @p473 (forall @t169 (or @t17 @t5 @t13))) % 0.65/0.99 (assume @p474 (forall @t510 (or @t17 @t512 @t327))) % 0.65/0.99 (assume @p475 (= (tptp.hAPP @t283 @t69) @t69)) % 0.65/0.99 (assume @p476 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP @t72 @t132)) @t131))) % 0.65/0.99 (assume @p477 (forall @t484 (not (tptp.c_HOL_Oord__class_Oless @t30 @t69 tptp.tc_nat)))) % 0.65/0.99 (assume @p478 (forall @t87 (not (tptp.c_HOL_Oord__class_Oless @t32 @t69 tptp.tc_nat)))) % 0.65/0.99 (assume @p479 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t69)) % 0.65/0.99 (assume @p480 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP @t72 @t173)) @t131))) % 0.65/0.99 (assume @p481 (forall (@list @t330 @t1) (= (tptp.c_List_Odrop @t69 @t330 @t1) @t330))) % 0.65/0.99 (assume @p482 (forall @t87 (= (tptp.c_HOL_Ominus__class_Ominus @t69 @t32 tptp.tc_nat) @t69))) % 0.65/0.99 (assume @p483 (forall @t274 (or @t146 (not (tptp.hBOOL (tptp.hAPP @t72 @t144))) @t131))) % 0.65/0.99 (assume @p484 (forall @t87 (tptp.c_lessequals @t69 @t32 tptp.tc_nat))) % 0.65/0.99 (assume @p485 (forall (@list @t51) (= (tptp.c_Nat_Osize__class_Osize @t51 tptp.tc_String_Ochar) @t69))) % 0.65/0.99 (assume @p486 (forall (@list @t2 @t1 @t3) (= @t401 (tptp.c_List_Oreplicate @t69 @t3 @t1)))) % 0.65/0.99 (assume @p487 (forall @t87 (= (tptp.c_Orderings_Oord__class_Omax @t32 @t69 tptp.tc_nat) @t32))) % 0.65/0.99 (assume @p488 (forall @t87 (= (tptp.c_Orderings_Oord__class_Omax @t69 @t32 tptp.tc_nat) @t32))) % 0.65/0.99 (assume @p489 (forall @t115 (or @t114 @t370 @t304))) % 0.65/0.99 (assume @p490 (forall @t42 (= @t2 (tptp.hAPP @t241 @t69)))) % 0.65/0.99 (assume @p491 (forall @t87 (= (tptp.hAPP @t283 @t32) @t32))) % 0.65/0.99 (assume @p492 (forall @t484 (= (tptp.hAPP @t139 @t69) @t30))) % 0.65/0.99 (assume @p493 (forall (@list @t222 @t2 @t220 @t224 @t223 @t221 @t1) (or (= (tptp.hAPP @t228 @t69) @t220) @t225))) % 0.65/0.99 (assume @p494 (forall @t515 (= (tptp.c_Lambda_Osubst @t514 @t70 @t62) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t71 @t70 @t62)) (tptp.c_Lambda_Osubst @t257 @t70 @t62))))) % 0.65/0.99 (assume @p495 (forall (@list @t307 @t306 @t385) (not (= @t308 @t386)))) % 0.65/0.99 (assume @p496 (forall (@list @t385 @t307 @t306) (not (= @t386 @t308)))) % 0.65/0.99 (assume @p497 (forall (@list @t72 @t93 @t92 @t89 @t516 @t452) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t516) @t452) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 (tptp.hAPP (tptp.hAPP @t92 @t516) @t452)))))) % 0.65/0.99 (assume @p498 (forall (@list @t72 @t93 @t92 @t89 @t307 @t306) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 @t308 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 @t517))))) % 0.65/0.99 (assume @p499 (forall @t518 (= (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 @t308 @t1) @t517))) % 0.65/0.99 (assume @p500 (forall @t518 (= (tptp.c_Lambda_OdB_OdB__rec @t93 @t92 @t89 @t308 @t1) (tptp.hAPP (tptp.hAPP @t517 (tptp.c_Lambda_OdB_OdB__rec @t93 @t92 @t89 @t307 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t93 @t92 @t89 @t306 @t1))))) % 0.65/0.99 (assume @p501 (forall (@list @t95 @t265 @t70) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t95 @t265 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t70 @t265 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t418))) % 0.65/0.99 (assume @p502 (forall (@list @t257 @t70 @t71) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t519 @t70) (tptp.hAPP @t519 @t71)) @t466))) % 0.65/0.99 (assume @p503 (forall (@list @t70 @t257 @t71) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t520 @t257) @t514) @t466))) % 0.65/0.99 (assume @p504 (forall (@list @t32 @t70 @t71 @t62) (= (tptp.c_Lambda_Oliftn @t32 @t521 @t62) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t32 @t70 @t62)) @t230)))) % 0.65/0.99 (assume @p505 (forall @t515 (= (tptp.c_Lambda_Osubstn @t514 @t70 @t62) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t71 @t70 @t62)) (tptp.c_Lambda_Osubstn @t257 @t70 @t62))))) % 0.65/0.99 (assume @p506 (forall (@list @t32 @t265 @t95 @t318) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t522 @t265 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t315 @t318 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.65/0.99 (assume @p507 (forall @t484 (= @t523 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t523 @t314 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.65/0.99 (assume @p508 (forall @t525 (or @t524 @t344))) % 0.65/0.99 (assume @p509 (forall (@list @t70 @t71 @t32 @t318) (not (= @t407 @t526)))) % 0.65/0.99 (assume @p510 (forall (@list @t266 @t265 @t264 @t59) (or (tptp.c_Type_Otypings @t266 @t265 @t529) @t528))) % 0.65/0.99 (assume @p511 (forall (@list @t266 @t530 @t264 @t534 @t59 @t265 @t532) (or (tptp.c_Type_Otypings @t266 @t530 @t536) @t535 @t533 @t531))) % 0.65/0.99 (assume @p512 (forall (@list @t385 @t133) (not (= @t386 @t537)))) % 0.65/0.99 (assume @p513 (forall (@list @t72 @t93 @t92 @t89 @t538) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 (tptp.c_Lambda_OdB_OVar @t538) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 (tptp.hAPP @t93 @t538)))))) % 0.65/0.99 (assume @p514 (forall (@list @t72 @t93 @t92 @t89 @t133) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 @t537 tptp.t_a)))) @t453))) % 0.65/0.99 (assume @p515 (forall (@list @t62 @t257) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t62) @t257 @t62) @t257))) % 0.65/0.99 (assume @p516 (forall (@list @t59 @t71) (not (tptp.c_Lambda_Obeta @t79 @t71)))) % 0.65/0.99 (assume @p517 (forall @t539 (= (tptp.c_Lambda_OdB_OdB__rec @t93 @t92 @t89 @t537 @t1) @t399))) % 0.65/0.99 (assume @p518 (forall (@list @t133 @t385) (not (= @t537 @t386)))) % 0.65/0.99 (assume @p519 (forall @t87 (tptp.c_InductTermi_OIT @t522))) % 0.65/0.99 (assume @p520 (forall @t539 (= (tptp.c_Lambda_OdB_OdB__case @t93 @t92 @t89 @t537 @t1) @t399))) % 0.65/0.99 (assume @p521 (forall (@list @t534 @t264 @t266 @t530 @t59 @t265 @t532) (or (= @t534 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t536 @t264 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t535 @t533 @t531))) % 0.65/0.99 (assume @p522 (forall @t540 (or (tptp.c_Type_Otyping @t266 @t71 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t269 @t264 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t268))) % 0.65/0.99 (assume @p523 (forall (@list @t266 @t71 @t265 @t264 @t532) (or @t267 @t533 (not (tptp.c_Type_Otyping @t266 @t71 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t532 @t264 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.65/0.99 (assume @p524 (forall @t540 (or (tptp.c_Type_Otyping @t266 @t71 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t493 @t264 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t268))) % 0.65/0.99 (assume @p525 (forall (@list @t266 @t542 @t264 @t71) (or (tptp.c_Type_Otyping @t266 @t542 @t264) (not (tptp.c_Lambda_Obeta @t71 @t542)) @t541))) % 0.65/0.99 (assume @p526 (forall (@list @t544 @t543 @t133) (not (= @t545 @t176)))) % 0.65/0.99 (assume @p527 (forall (@list @t72 @t547 @t546 @t264) (or (not (= @t281 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t547) @t546))) @t282 (tptp.hBOOL (tptp.hAPP @t72 @t546))))) % 0.65/0.99 (assume @p528 (forall (@list @t72 @t548 @t2 @t264) (or (not (= @t281 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t548) @t2))) @t282 (tptp.hBOOL (tptp.hAPP @t72 @t548))))) % 0.65/0.99 (assume @p529 (forall @t553 (= (tptp.c_Type_Otype_Otype__rec @t93 @t92 @t552 @t1) (tptp.hAPP (tptp.hAPP @t551 (tptp.c_Type_Otype_Otype__rec @t93 @t92 @t550 @t1)) (tptp.c_Type_Otype_Otype__rec @t93 @t92 @t549 @t1))))) % 0.65/0.99 (assume @p530 (forall @t553 (= (tptp.c_Type_Otype_Otype__case @t93 @t92 @t552 @t1) @t551))) % 0.65/0.99 (assume @p531 (forall (@list @t72 @t93 @t92 @t296 @t516) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Type_Otype_Otype__case @t93 @t92 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t296) @t516) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 (tptp.hAPP (tptp.hAPP @t92 @t296) @t516)))))) % 0.65/0.99 (assume @p532 (forall (@list @t72 @t93 @t92 @t550 @t549) (or (not (tptp.hBOOL (tptp.hAPP @t72 (tptp.c_Type_Otype_Otype__case @t93 @t92 @t552 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t72 @t551))))) % 0.65/0.99 (assume @p533 (forall (@list @t133 @t544 @t543) (not (= @t176 @t545)))) % 0.65/0.99 (assume @p534 (forall (@list @t266 @t71 @t264) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t266 @t69 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t266 @t71) tptp.tc_Type_Otype) @t71 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t266 @t71)) @t471))) % 0.65/0.99 (assume @p535 (forall (@list @t266 @t264 @t71) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t266 @t69 @t473 tptp.tc_Type_Otype) @t71 @t472) @t471))) % 0.65/0.99 (assume @p536 (forall @t556 (or (tptp.c_InductTermi_OIT @t555) @t554))) % 0.65/0.99 (assume @p537 (forall (@list @t71 @t62 @t70) (= (tptp.c_Lambda_Osubst @t557 @t70 @t62) @t71))) % 0.65/0.99 (assume @p538 (forall (@list @t95 @t59 @t70) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t95 @t59) (tptp.c_Lambda_Olift @t70 @t59)) @t96))) % 0.65/0.99 (assume @p539 (forall (@list @t266 @t59 @t264 @t1 @t58) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t266 @t59 @t264 @t1) @t58) (tptp.hAPP @t266 @t58)) @t495))) % 0.65/0.99 (assume @p540 (forall (@list @t71 @t257 @t59 @t266 @t534 @t264) (or (tptp.c_InductTermi_OIT @t559) (not (tptp.c_Type_Otyping @t266 @t257 @t534)) (not (tptp.c_InductTermi_OIT @t257)) (not (tptp.c_Type_Otyping @t558 @t71 @t264)) @t554))) % 0.65/0.99 (assume @p541 (forall (@list @t266 @t59 @t264 @t265) (or (tptp.c_Type_Otyping @t266 @t79 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t529 @t264 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t528))) % 0.65/0.99 (assume @p542 (forall @t138 (or @t478 @t477 @t476 @t136 @t560 @t86))) % 0.65/0.99 (assume @p543 (forall @t138 (or @t137 @t136 @t560 @t86))) % 0.65/0.99 (assume @p544 (forall @t84 (or @t478 @t477 @t476 @t136 (not (= (tptp.c_Power_Opower__class_Opower @t19 @t69 @t1) @t20))))) % 0.65/0.99 (assume @p545 (forall @t38 (or @t504 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t69 @t1) @t20)))) % 0.65/0.99 (assume @p546 (forall @t561 (= (tptp.c_Nat_Osize__class_Osize @t537 tptp.tc_Lambda_OdB) @t69))) % 0.65/0.99 (assume @p547 (forall @t561 (= (tptp.c_Lambda_OdB_OdB__size @t537) @t69))) % 0.65/0.99 (assume @p548 (forall @t563 (or @t562 @t113))) % 0.65/0.99 (assume @p549 (forall @t563 (or @t562 @t415))) % 0.65/0.99 (assume @p550 (forall @t525 (or @t524 (= @t523 @t70)))) % 0.65/0.99 (assume @p551 (forall @t556 (or (tptp.c_InductTermi_OIT (tptp.hAPP @t513 @t79)) @t554))) % 0.65/0.99 (assume @p552 (tptp.c_InductTermi_OIT tptp.v_ta____)) % 0.65/0.99 (assume @p553 (forall (@list @t266 @t257 @t264 @t71) (or (tptp.c_Type_Otyping @t266 @t257 @t565) @t564))) % 0.65/0.99 (assume @p554 (forall (@list @t266 @t59 @t534 @t1 @t264) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t266 @t59 @t534 @t1) @t69 @t264 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t266 @t69 @t264 @t1) @t421 @t534 @t1)))) % 0.65/0.99 (assume @p555 (forall @t403 (or (= (tptp.c_Lambda_Olift @t79 @t62) @t79) @t459))) % 0.65/0.99 (assume @p556 (forall (@list @t566 @t257 @t534 @t59 @t71 @t264) (or (not (tptp.c_Type_Otyping @t566 @t257 @t534)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t566 @t59 @t534 tptp.tc_Type_Otype) @t71 @t264)) (tptp.c_Type_Otyping @t566 @t559 @t264)))) % 0.65/0.99 (assume @p557 (forall (@list @t264 @t534 @t266 @t59 @t265) (or (= @t264 @t534) @t535 @t528))) % 0.65/0.99 (assume @p558 (forall (@list @t266 @t71 @t264 @t257) (or (tptp.c_Type_Otyping @t266 @t71 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t565) @t264)) @t564))) % 0.65/0.99 (assume @p559 (forall (@list @t567 @t71 @t264 @t534) (or (tptp.c_Type_Otyping @t567 @t467 @t568) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t567 @t69 @t264 tptp.tc_Type_Otype) @t71 @t534))))) % 0.65/0.99 (assume @p560 (tptp.c_Type_Otyping tptp.v_ea____ tptp.v_s____ @t569)) % 0.65/0.99 (assume @p561 (forall (@list @t266 @t59 @t534 @t71 @t264) (or (tptp.c_Type_Otyping @t558 @t555 @t264) @t541))) % 0.65/0.99 (assume @p562 (forall @t177 (or (not (= @t537 (tptp.c_Lambda_OdB_OVar @t174))) @t175))) % 0.65/0.99 (assume @p563 (forall @t571 (or @t570 (= @t550 @t544)))) % 0.65/0.99 (assume @p564 (forall @t571 (or @t570 (= @t549 @t543)))) % 0.65/0.99 (assume @p565 @t572) % 0.65/0.99 (assume @p566 (forall @t577 (or @t576 (= @t307 @t573)))) % 0.65/0.99 (assume @p567 (forall @t577 (or @t576 (= @t306 @t574)))) % 0.65/0.99 (assume @p568 (forall (@list @t133 @t573 @t574) (not (= @t537 @t575)))) % 0.65/0.99 (assume @p569 (forall (@list @t266 @t2 @t264 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t266 @t2 @t264 @t1) @t2) @t264))) % 0.65/0.99 (assume @p570 (forall (@list @t266 @t59 @t264) (or (= (tptp.hAPP @t266 @t59) @t264) (not (tptp.c_Type_Otyping @t266 @t79 @t264))))) % 0.65/0.99 (assume @p571 (forall (@list @t70 @t71 @t62) (= (tptp.c_Lambda_Olift @t521 @t62) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t70 @t62)) @t557)))) % 0.65/0.99 (assume @p572 (tptp.c_Type_Otyping tptp.v_ea____ tptp.v_ta____ tptp.v_Ta____)) % 0.65/0.99 (assume @p573 (forall (@list @t567 @t2) (tptp.c_Type_Otyping @t567 @t275 (tptp.hAPP @t567 @t2)))) % 0.65/0.99 (assume @p574 (forall (@list @t573 @t574 @t133) (not (= @t575 @t537)))) % 0.65/0.99 (assume @p575 @t580) % 0.65/0.99 (assume @p576 @t582) % 0.65/0.99 (assume @p577 (not @t583)) % 0.65/0.99 (assume @p578 (forall @t587 (or (tptp.class_Orderings_Opreorder @t586) (not (tptp.class_Orderings_Opreorder @t584))))) % 0.65/0.99 (assume @p579 (forall @t587 (or (tptp.class_Orderings_Oorder @t586) (not (tptp.class_Orderings_Oorder @t584))))) % 0.65/0.99 (assume @p580 (forall @t587 (or (tptp.class_Orderings_Obot @t586) (not (tptp.class_Orderings_Obot @t584))))) % 0.65/0.99 (assume @p581 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.65/0.99 (assume @p582 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.65/0.99 (assume @p583 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.65/0.99 (assume @p584 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.65/0.99 (assume @p585 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.65/0.99 (assume @p586 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.65/0.99 (assume @p587 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.65/0.99 (assume @p588 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.65/0.99 (assume @p589 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.65/0.99 (assume @p590 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.65/0.99 (assume @p591 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.65/0.99 (assume @p592 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.65/0.99 (assume @p593 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.65/0.99 (assume @p594 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.65/0.99 (assume @p595 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.65/0.99 (assume @p596 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.65/0.99 (assume @p597 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.65/0.99 (assume @p598 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.65/0.99 (assume @p599 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.65/0.99 (assume @p600 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.65/0.99 (assume @p601 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.65/0.99 (assume @p602 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.65/0.99 (assume @p603 (tptp.class_Power_Opower tptp.tc_nat)) % 0.65/0.99 (assume @p604 (forall @t460 (tptp.c_fequal @t2 @t2 @t1))) % 0.65/0.99 (assume @p605 (forall (@list @t589 @t588 @t1) (or (= @t589 @t588) (not (tptp.c_fequal @t589 @t588 @t1))))) % 0.65/0.99 (step @p606 :rule cnf_or_pos :args (@t592)) % 0.65/0.99 (step @p607 :rule reordering :premises (@p606) :args ((or @t583 @t591 @t590 @t593))) % 0.65/0.99 (step @p608 :rule chain_m_resolution :premises (@p607 @p577 @p575 @p576) :args (@t593 (@list true false false) (@list @t583 @t580 @t582))) % 0.65/0.99 (assume-push @p615 @t572) % 0.65/0.99 (step @p610 :rule instantiate :premises (@p565) :args ((@list @t579 @t581 @t578 tptp.v_U____ tptp.v_Ta____))) % 0.65/0.99 (step-pop @p616 :rule scope :premises (@p610)) % 0.65/0.99 (step @p611 :rule process_scope :premises (@p616) :args (@t592)) % 0.65/0.99 (step @p613 :rule implies_elim :premises (@p611)) % 0.65/0.99 (step @p614 false :rule chain_m_resolution :premises (@p613 @p608 @p565) :args (false (@list true false) (@list @t592 @t572))) % 0.65/0.99 ) % 0.65/0.99 % SZS output end Proof % 0.65/0.99 % cvc5 exiting %------------------------------------------------------------------------------