%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL836-1 : 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 : n002.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 11:24:00 AM UTC 2026 % Result : Unsatisfiable 0.36s 1.01s % Output : Proof 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL836-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n002.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 : Sat Sep 5 17:20:51 UTC 2026 % 0.10/0.36 % CPUTime : % 0.31/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/1.01 % SZS status Unsatisfiable % 0.36/1.01 % SZS output start Proof % 0.77/1.04 ( % 0.77/1.04 (declare-sort $$unsorted 0) % 0.77/1.04 (declare-const tptp.tc_bool $$unsorted) % 0.77/1.04 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.v_r____ $$unsorted) % 0.77/1.04 (declare-const tptp.v_ua______ $$unsorted) % 0.77/1.04 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.v_a____ $$unsorted) % 0.77/1.04 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.v_e____ $$unsorted) % 0.77/1.04 (declare-const tptp.v_T____ $$unsorted) % 0.77/1.04 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.t_a $$unsorted) % 0.77/1.04 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.tc_String_Ochar $$unsorted) % 0.77/1.04 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.77/1.04 (declare-const tptp.c_nat_Onat__size (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.v_u____ $$unsorted) % 0.77/1.04 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.77/1.04 (declare-const tptp.v_i____ $$unsorted) % 0.77/1.04 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.77/1.04 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.04 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.04 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.77/1.05 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.v_T_H____ $$unsorted) % 0.77/1.05 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.v_as____ $$unsorted) % 0.77/1.05 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.tc_nat $$unsorted) % 0.77/1.05 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.77/1.05 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.77/1.05 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.77/1.05 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.77/1.05 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.77/1.05 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.77/1.05 (define @t1 () (@var "T_a" $$unsorted)) % 0.77/1.05 (define @t2 () (@var "V_x" $$unsorted)) % 0.77/1.05 (define @t3 () (@var "V_y" $$unsorted)) % 0.77/1.05 (define @t4 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.77/1.05 (define @t5 () (not @t4)) % 0.77/1.05 (define @t6 () (tptp.c_Orderings_Oord__class_Omax @t2 @t3 @t1)) % 0.77/1.05 (define @t7 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.77/1.05 (define @t8 () (@list @t1 @t2 @t3)) % 0.77/1.05 (define @t9 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.77/1.05 (define @t10 () (= @t6 @t3)) % 0.77/1.05 (define @t11 () (not @t9)) % 0.77/1.05 (define @t12 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.77/1.05 (define @t13 () (not @t12)) % 0.77/1.05 (define @t14 () (@var "V_z" $$unsorted)) % 0.77/1.05 (define @t15 () (tptp.c_HOL_Oord__class_Oless @t14 @t3 @t1)) % 0.77/1.05 (define @t16 () (not @t15)) % 0.77/1.05 (define @t17 () (tptp.c_HOL_Oord__class_Oless @t14 @t2 @t1)) % 0.77/1.05 (define @t18 () (not (tptp.class_Orderings_Oorder @t1))) % 0.77/1.05 (define @t19 () (@list @t1 @t14 @t2 @t3)) % 0.77/1.05 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.77/1.05 (define @t21 () (not @t20)) % 0.77/1.05 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t3 @t14 @t1)) % 0.77/1.05 (define @t23 () (not @t22)) % 0.77/1.05 (define @t24 () (tptp.c_HOL_Oord__class_Oless @t2 @t14 @t1)) % 0.77/1.05 (define @t25 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.77/1.05 (define @t26 () (@list @t1 @t2 @t14 @t3)) % 0.77/1.05 (define @t27 () (@var "V_a" $$unsorted)) % 0.77/1.05 (define @t28 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.77/1.05 (define @t29 () (tptp.c_lessequals @t28 @t27 @t1)) % 0.77/1.05 (define @t30 () (not @t29)) % 0.77/1.05 (define @t31 () (@var "V_b" $$unsorted)) % 0.77/1.05 (define @t32 () (not (tptp.c_lessequals @t28 @t31 @t1))) % 0.77/1.05 (define @t33 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.77/1.05 (define @t34 () (tptp.hAPP @t33 @t27)) % 0.77/1.05 (define @t35 () (tptp.hAPP @t34 @t31)) % 0.77/1.05 (define @t36 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.77/1.05 (define @t37 () (@list @t1 @t27 @t31)) % 0.77/1.05 (define @t38 () (tptp.hAPP @t33 @t28)) % 0.77/1.05 (define @t39 () (= (tptp.hAPP @t38 @t28) @t28)) % 0.77/1.05 (define @t40 () (not (tptp.c_lessequals @t28 @t28 @t1))) % 0.77/1.05 (define @t41 () (@list @t1)) % 0.77/1.05 (define @t42 () (tptp.c_lessequals @t27 @t31 @t1)) % 0.77/1.05 (define @t43 () (not @t42)) % 0.77/1.05 (define @t44 () (@var "V_d" $$unsorted)) % 0.77/1.05 (define @t45 () (@var "V_c" $$unsorted)) % 0.77/1.05 (define @t46 () (not (tptp.c_lessequals @t45 @t44 @t1))) % 0.77/1.05 (define @t47 () (tptp.hAPP @t33 @t31)) % 0.77/1.05 (define @t48 () (tptp.hAPP @t47 @t44)) % 0.77/1.05 (define @t49 () (tptp.hAPP @t34 @t45)) % 0.77/1.05 (define @t50 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.77/1.05 (define @t51 () (@list @t1 @t27 @t45 @t31 @t44)) % 0.77/1.05 (define @t52 () (@var "V_j" $$unsorted)) % 0.77/1.05 (define @t53 () (@var "V_i" $$unsorted)) % 0.77/1.05 (define @t54 () (not (tptp.c_lessequals @t53 @t52 tptp.tc_nat))) % 0.77/1.05 (define @t55 () (@var "V_l" $$unsorted)) % 0.77/1.05 (define @t56 () (@var "V_k" $$unsorted)) % 0.77/1.05 (define @t57 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.77/1.05 (define @t58 () (tptp.hAPP @t57 @t52)) % 0.77/1.05 (define @t59 () (tptp.hAPP @t58 @t55)) % 0.77/1.05 (define @t60 () (tptp.hAPP @t57 @t53)) % 0.77/1.05 (define @t61 () (tptp.hAPP @t60 @t56)) % 0.77/1.05 (define @t62 () (@list @t53 @t56 @t52 @t55)) % 0.77/1.05 (define @t63 () (@var "V_xs" $$unsorted)) % 0.77/1.05 (define @t64 () (tptp.c_List_Oappend @t63 @t2 @t1)) % 0.77/1.05 (define @t65 () (@var "V_ys" $$unsorted)) % 0.77/1.05 (define @t66 () (@var "V_r" $$unsorted)) % 0.77/1.05 (define @t67 () (tptp.c_ListOrder_Ostep1 @t66 @t65 @t63 @t1)) % 0.77/1.05 (define @t68 () (not @t67)) % 0.77/1.05 (define @t69 () (@var "V_us" $$unsorted)) % 0.77/1.05 (define @t70 () (@var "V_vs" $$unsorted)) % 0.77/1.05 (define @t71 () (@var "V_P" $$unsorted)) % 0.77/1.05 (define @t72 () (tptp.hAPP @t57 @t31)) % 0.77/1.05 (define @t73 () (tptp.hBOOL (tptp.hAPP @t71 @t2))) % 0.77/1.05 (define @t74 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t31 @t1)) % 0.77/1.05 (define @t75 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.77/1.05 (define @t76 () (@var "V_s_H" $$unsorted)) % 0.77/1.05 (define @t77 () (@var "V_s" $$unsorted)) % 0.77/1.05 (define @t78 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t79 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t77) @t76)))) % 0.77/1.05 (define @t80 () (tptp.c_Lambda_OdB_OAbs @t77)) % 0.77/1.05 (define @t81 () (tptp.c_HOL_Oord__class_Oless @t56 @t53 tptp.tc_nat)) % 0.77/1.05 (define @t82 () (= @t53 @t56)) % 0.77/1.05 (define @t83 () (tptp.c_Lambda_OdB_OVar @t53)) % 0.77/1.05 (define @t84 () (@list @t53 @t77 @t56)) % 0.77/1.05 (define @t85 () (tptp.c_List_Oappend @t63 @t65 @t1)) % 0.77/1.05 (define @t86 () (@var "V_A" $$unsorted)) % 0.77/1.05 (define @t87 () (tptp.c_List_Olistsp @t86 @t85 @t1)) % 0.77/1.05 (define @t88 () (not @t87)) % 0.77/1.05 (define @t89 () (tptp.c_List_Olistsp @t86 @t63 @t1)) % 0.77/1.05 (define @t90 () (tptp.c_List_Olistsp @t86 @t65 @t1)) % 0.77/1.05 (define @t91 () (tptp.hAPP @t34 @t27)) % 0.77/1.05 (define @t92 () (tptp.c_lessequals @t28 @t91 @t1)) % 0.77/1.05 (define @t93 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.77/1.05 (define @t94 () (@list @t1 @t27)) % 0.77/1.05 (define @t95 () (@var "V_dB" $$unsorted)) % 0.77/1.05 (define @t96 () (@var "V_f3" $$unsorted)) % 0.77/1.05 (define @t97 () (tptp.hAPP @t96 @t95)) % 0.77/1.05 (define @t98 () (tptp.c_Lambda_OdB_OAbs @t95)) % 0.77/1.05 (define @t99 () (@var "V_f2" $$unsorted)) % 0.77/1.05 (define @t100 () (@var "V_f1" $$unsorted)) % 0.77/1.05 (define @t101 () (@list @t100 @t99 @t96 @t95 @t1)) % 0.77/1.05 (define @t102 () (@var "V_n" $$unsorted)) % 0.77/1.05 (define @t103 () (@var "V_m" $$unsorted)) % 0.77/1.05 (define @t104 () (tptp.c_lessequals @t103 @t102 tptp.tc_nat)) % 0.77/1.05 (define @t105 () (not @t104)) % 0.77/1.05 (define @t106 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t102 @t1)) % 0.77/1.05 (define @t107 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t103 @t1)) % 0.77/1.05 (define @t108 () (tptp.c_lessequals @t107 @t106 @t1)) % 0.77/1.05 (define @t109 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.77/1.05 (define @t110 () (@list @t1 @t103 @t102)) % 0.77/1.05 (define @t111 () (tptp.c_List_Olist_OCons @t2 @t63 @t1)) % 0.77/1.05 (define @t112 () (not (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Olist_OCons @t3 @t65 @t1) @t111 @t1))) % 0.77/1.05 (define @t113 () (= @t63 @t65)) % 0.77/1.05 (define @t114 () (= @t2 @t3)) % 0.77/1.05 (define @t115 () (@var "V_xa" $$unsorted)) % 0.77/1.05 (define @t116 () (tptp.hAPP @t66 @t3)) % 0.77/1.05 (define @t117 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.77/1.05 (define @t118 () (tptp.hAPP @t57 @t102)) % 0.77/1.05 (define @t119 () (tptp.hAPP @t118 @t56)) % 0.77/1.05 (define @t120 () (@list @t103 @t102 @t56)) % 0.77/1.05 (define @t121 () (tptp.c_HOL_Oord__class_Oless @t28 @t27 @t1)) % 0.77/1.05 (define @t122 () (not @t121)) % 0.77/1.05 (define @t123 () (not (tptp.c_lessequals @t31 @t45 @t1))) % 0.77/1.05 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t31 @t49 @t1)) % 0.77/1.05 (define @t125 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.77/1.05 (define @t126 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.77/1.05 (define @t127 () (@list @t1 @t31 @t27 @t45)) % 0.77/1.05 (define @t128 () (tptp.c_List_Olist_ONil @t1)) % 0.77/1.05 (define @t129 () (= @t103 @t102)) % 0.77/1.05 (define @t130 () (tptp.c_List_Oreplicate @t103 @t2 @t1)) % 0.77/1.05 (define @t131 () (not (= @t130 (tptp.c_List_Oreplicate @t102 @t3 @t1)))) % 0.77/1.05 (define @t132 () (@list @t103 @t2 @t1 @t102 @t3)) % 0.77/1.05 (define @t133 () (@var "V_zs" $$unsorted)) % 0.77/1.05 (define @t134 () (= @t65 @t133)) % 0.77/1.05 (define @t135 () (@list @t63 @t65 @t1 @t133)) % 0.77/1.05 (define @t136 () (tptp.c_HOL_Oord__class_Oless @t6 @t14 @t1)) % 0.77/1.05 (define @t137 () (@list @t1 @t2 @t3 @t14)) % 0.77/1.05 (define @t138 () (tptp.c_HOL_Ominus__class_Ominus @t103 @t102 tptp.tc_nat)) % 0.77/1.05 (define @t139 () (= @t138 @t117)) % 0.77/1.05 (define @t140 () (not @t139)) % 0.77/1.05 (define @t141 () (@list @t103 @t102)) % 0.77/1.05 (define @t142 () (tptp.c_Power_Opower__class_Opower @t27 @t102 @t1)) % 0.77/1.05 (define @t143 () (@list @t1 @t27 @t102)) % 0.77/1.05 (define @t144 () (tptp.c_Transitive__Closure_Ortranclp @t66 @t1)) % 0.77/1.05 (define @t145 () (tptp.hAPP @t144 @t27)) % 0.77/1.05 (define @t146 () (tptp.hAPP @t144 @t2)) % 0.77/1.05 (define @t147 () (tptp.c_Wellfounded_Oaccp @t66 @t27 @t1)) % 0.77/1.05 (define @t148 () (not @t147)) % 0.77/1.05 (define @t149 () (tptp.hAPP @t144 @t31)) % 0.77/1.05 (define @t150 () (not (tptp.hBOOL (tptp.hAPP @t149 @t27)))) % 0.77/1.05 (define @t151 () (tptp.c_Wellfounded_Oaccp @t66 @t31 @t1)) % 0.77/1.05 (define @t152 () (@list @t66 @t31 @t1 @t27)) % 0.77/1.05 (define @t153 () (tptp.hBOOL (tptp.hAPP @t146 @t3))) % 0.77/1.05 (define @t154 () (tptp.hAPP @t144 @t3)) % 0.77/1.05 (define @t155 () (@var "V_t" $$unsorted)) % 0.77/1.05 (define @t156 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t155)))) % 0.77/1.05 (define @t157 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t158 () (@list @t155)) % 0.77/1.05 (define @t159 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t66))) % 0.77/1.05 (define @t160 () (@list @t66)) % 0.77/1.05 (define @t161 () (tptp.hBOOL (tptp.hAPP @t71 @t117))) % 0.77/1.05 (define @t162 () (not @t161)) % 0.77/1.05 (define @t163 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t71)) % 0.77/1.05 (define @t164 () (tptp.hAPP @t71 @t102)) % 0.77/1.05 (define @t165 () (tptp.hBOOL @t164)) % 0.77/1.05 (define @t166 () (not (tptp.c_lessequals @t56 @t52 tptp.tc_nat))) % 0.77/1.05 (define @t167 () (tptp.c_HOL_Ominus__class_Ominus @t52 @t56 tptp.tc_nat)) % 0.77/1.05 (define @t168 () (tptp.c_lessequals @t53 @t167 tptp.tc_nat)) % 0.77/1.05 (define @t169 () (tptp.c_lessequals @t61 @t52 tptp.tc_nat)) % 0.77/1.05 (define @t170 () (@list @t53 @t56 @t52)) % 0.77/1.05 (define @t171 () (@list @t53 @t52 @t56)) % 0.77/1.05 (define @t172 () (tptp.c_lessequals @t2 @t14 @t1)) % 0.77/1.05 (define @t173 () (tptp.c_lessequals @t3 @t14 @t1)) % 0.77/1.05 (define @t174 () (not @t173)) % 0.77/1.05 (define @t175 () (tptp.c_lessequals @t6 @t14 @t1)) % 0.77/1.05 (define @t176 () (tptp.c_lessequals @t14 @t2 @t1)) % 0.77/1.05 (define @t177 () (not @t176)) % 0.77/1.05 (define @t178 () (tptp.c_Orderings_Oord__class_Omax @t3 @t14 @t1)) % 0.77/1.05 (define @t179 () (@list @t1 @t3 @t14 @t2)) % 0.77/1.05 (define @t180 () (tptp.c_lessequals @t27 @t2 @t1)) % 0.77/1.05 (define @t181 () (tptp.c_lessequals @t31 @t2 @t1)) % 0.77/1.05 (define @t182 () (tptp.c_Orderings_Oord__class_Omax @t27 @t31 @t1)) % 0.77/1.05 (define @t183 () (tptp.c_lessequals @t182 @t2 @t1)) % 0.77/1.05 (define @t184 () (@list @t1 @t3 @t2)) % 0.77/1.05 (define @t185 () (tptp.c_List_Oappend @t63 @t128 @t1)) % 0.77/1.05 (define @t186 () (@list @t63 @t1)) % 0.77/1.05 (define @t187 () (@list @t2 @t1)) % 0.77/1.05 (define @t188 () (tptp.c_List_Oappend @t128 @t65 @t1)) % 0.77/1.05 (define @t189 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t66) @t77)))) % 0.77/1.05 (define @t190 () (tptp.hAPP tptp.c_Lambda_Osubst @t155)) % 0.77/1.05 (define @t191 () (tptp.hAPP @t190 @t77)) % 0.77/1.05 (define @t192 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 (tptp.hAPP (tptp.hAPP @t190 @t66) @t53)) (tptp.hAPP @t191 @t53)))) % 0.77/1.05 (define @t193 () (@list @t155 @t66 @t53 @t77)) % 0.77/1.05 (define @t194 () (@list @t1 @t2)) % 0.77/1.05 (define @t195 () (tptp.c_lessequals @t31 @t49 @t1)) % 0.77/1.05 (define @t196 () (not (tptp.c_lessequals @t31 @t27 @t1))) % 0.77/1.05 (define @t197 () (@var "V_f" $$unsorted)) % 0.77/1.05 (define @t198 () (tptp.hAPP @t197 @t2)) % 0.77/1.05 (define @t199 () (@var "T_b" $$unsorted)) % 0.77/1.05 (define @t200 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 tptp.tc_nat)) % 0.77/1.05 (define @t201 () (not @t200)) % 0.77/1.05 (define @t202 () (tptp.hAPP @t57 @t3)) % 0.77/1.05 (define @t203 () (tptp.hAPP @t202 @t14)) % 0.77/1.05 (define @t204 () (tptp.c_HOL_Oord__class_Oless @t2 @t203 tptp.tc_nat)) % 0.77/1.05 (define @t205 () (@list @t2 @t3 @t14)) % 0.77/1.05 (define @t206 () (tptp.hAPP @t60 @t52)) % 0.77/1.05 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t53 @t56 tptp.tc_nat)) % 0.77/1.05 (define @t208 () (not (tptp.c_HOL_Oord__class_Oless @t53 @t52 tptp.tc_nat))) % 0.77/1.05 (define @t209 () (tptp.hAPP @t58 @t103)) % 0.77/1.05 (define @t210 () (@list @t53 @t52 @t103)) % 0.77/1.05 (define @t211 () (tptp.hAPP @t57 @t103)) % 0.77/1.05 (define @t212 () (tptp.hAPP @t211 @t52)) % 0.77/1.05 (define @t213 () (@list @t53 @t103 @t52)) % 0.77/1.05 (define @t214 () (tptp.hAPP @t33 @t45)) % 0.77/1.05 (define @t215 () (tptp.hAPP @t214 @t27)) % 0.77/1.05 (define @t216 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.77/1.05 (define @t217 () (tptp.hAPP @t47 @t27)) % 0.77/1.05 (define @t218 () (tptp.hAPP @t118 @t103)) % 0.77/1.05 (define @t219 () (tptp.hAPP @t211 @t102)) % 0.77/1.05 (define @t220 () (tptp.c_HOL_Oord__class_Oless @t103 @t102 tptp.tc_nat)) % 0.77/1.05 (define @t221 () (not (tptp.c_HOL_Oord__class_Oless @t56 @t55 tptp.tc_nat))) % 0.77/1.05 (define @t222 () (tptp.hAPP @t57 @t56)) % 0.77/1.05 (define @t223 () (tptp.hAPP @t222 @t102)) % 0.77/1.05 (define @t224 () (tptp.hAPP @t33 @t3)) % 0.77/1.05 (define @t225 () (tptp.hAPP @t33 @t2)) % 0.77/1.05 (define @t226 () (tptp.hAPP @t225 @t3)) % 0.77/1.05 (define @t227 () (not @t220)) % 0.77/1.05 (define @t228 () (tptp.c_HOL_Ominus__class_Ominus @t55 @t103 tptp.tc_nat)) % 0.77/1.05 (define @t229 () (tptp.c_HOL_Ominus__class_Ominus @t55 @t102 tptp.tc_nat)) % 0.77/1.05 (define @t230 () (@list @t55 @t102 @t103)) % 0.77/1.05 (define @t231 () (tptp.c_List_Oappend @t63 @t65 @t199)) % 0.77/1.05 (define @t232 () (tptp.c_List_Olist_OCons @t2 @t128 @t1)) % 0.77/1.05 (define @t233 () (tptp.c_List_Oappend @t63 @t232 @t1)) % 0.77/1.05 (define @t234 () (tptp.c_List_Oappend @t65 (tptp.c_List_Olist_OCons @t3 @t128 @t1) @t1)) % 0.77/1.05 (define @t235 () (not (tptp.c_ListOrder_Ostep1 @t66 @t234 @t233 @t1))) % 0.77/1.05 (define @t236 () (= @t3 @t2)) % 0.77/1.05 (define @t237 () (tptp.hBOOL (tptp.hAPP @t116 @t2))) % 0.77/1.05 (define @t238 () (@var "V_T" $$unsorted)) % 0.77/1.05 (define @t239 () (@var "V_e" $$unsorted)) % 0.77/1.05 (define @t240 () (tptp.c_lessequals @t14 @t6 @t1)) % 0.77/1.05 (define @t241 () (tptp.c_lessequals @t14 @t3 @t1)) % 0.77/1.05 (define @t242 () (@list @t1 @t14 @t3 @t2)) % 0.77/1.05 (define @t243 () (tptp.c_List_Olist_ONil @t199)) % 0.77/1.05 (define @t244 () (= @t63 @t243)) % 0.77/1.05 (define @t245 () (tptp.c_List_Omap @t197 @t63 @t199 @t1)) % 0.77/1.05 (define @t246 () (@var "V_r1" $$unsorted)) % 0.77/1.05 (define @t247 () (@var "V_r0" $$unsorted)) % 0.77/1.05 (define @t248 () (@var "V_pwr" $$unsorted)) % 0.77/1.05 (define @t249 () (@var "V_mul" $$unsorted)) % 0.77/1.05 (define @t250 () (@var "V_add" $$unsorted)) % 0.77/1.05 (define @t251 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t250 @t249 @t248 @t247 @t246 @t1))) % 0.77/1.05 (define @t252 () (@var "V_q" $$unsorted)) % 0.77/1.05 (define @t253 () (@var "V_p" $$unsorted)) % 0.77/1.05 (define @t254 () (tptp.hAPP @t248 @t2)) % 0.77/1.05 (define @t255 () (tptp.hAPP @t254 @t252)) % 0.77/1.05 (define @t256 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t66) @t77)))) % 0.77/1.05 (define @t257 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t77) @t155)) % 0.77/1.05 (define @t258 () (tptp.hAPP @t257 @t53)) % 0.77/1.05 (define @t259 () (tptp.hAPP tptp.c_Lambda_Osubst @t66)) % 0.77/1.05 (define @t260 () (tptp.hAPP (tptp.hAPP @t259 @t155) @t53)) % 0.77/1.05 (define @t261 () (@list @t66 @t155 @t53 @t77)) % 0.77/1.05 (define @t262 () (not (tptp.c_lessequals @t28 @t2 @t1))) % 0.77/1.05 (define @t263 () (not (tptp.c_lessequals @t28 @t3 @t1))) % 0.77/1.05 (define @t264 () (not (= @t226 @t28))) % 0.77/1.05 (define @t265 () (tptp.c_List_Ofoldl @t33 @t27 @t63 @t1 @t1)) % 0.77/1.05 (define @t266 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.77/1.05 (define @t267 () (@var "V_dB_H" $$unsorted)) % 0.77/1.05 (define @t268 () (tptp.c_Lambda_OdB_OAbs @t267)) % 0.77/1.05 (define @t269 () (@var "V_nat" $$unsorted)) % 0.77/1.05 (define @t270 () (tptp.c_Lambda_OdB_OVar @t269)) % 0.77/1.05 (define @t271 () (@list @t66 @t1 @t2 @t3)) % 0.77/1.05 (define @t272 () (tptp.c_HOL_Oord__class_Oless @t27 @t28 @t1)) % 0.77/1.05 (define @t273 () (not @t272)) % 0.77/1.05 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t91 @t28 @t1)) % 0.77/1.05 (define @t275 () (not @t274)) % 0.77/1.05 (define @t276 () (tptp.hAPP @t224 @t14)) % 0.77/1.05 (define @t277 () (tptp.hAPP @t225 @t276)) % 0.77/1.05 (define @t278 () (tptp.hAPP @t225 @t14)) % 0.77/1.05 (define @t279 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.77/1.05 (define @t280 () (tptp.hAPP @t57 @t2)) % 0.77/1.05 (define @t281 () (tptp.hAPP @t280 @t14)) % 0.77/1.05 (define @t282 () (tptp.hAPP @t47 @t45)) % 0.77/1.05 (define @t283 () (tptp.hAPP @t34 @t282)) % 0.77/1.05 (define @t284 () (tptp.hAPP @t33 @t35)) % 0.77/1.05 (define @t285 () (tptp.hAPP @t284 @t45)) % 0.77/1.05 (define @t286 () (= @t285 @t283)) % 0.77/1.05 (define @t287 () (@list @t1 @t27 @t31 @t45)) % 0.77/1.05 (define @t288 () (tptp.hAPP @t33 @t49)) % 0.77/1.05 (define @t289 () (tptp.hAPP @t214 @t44)) % 0.77/1.05 (define @t290 () (tptp.hAPP @t34 @t289)) % 0.77/1.05 (define @t291 () (@list @t1 @t27 @t45 @t44)) % 0.77/1.05 (define @t292 () (tptp.c_HOL_Oord__class_Oless @t117 @t219 tptp.tc_nat)) % 0.77/1.05 (define @t293 () (tptp.c_HOL_Oord__class_Oless @t117 @t103 tptp.tc_nat)) % 0.77/1.05 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t117 @t102 tptp.tc_nat)) % 0.77/1.05 (define @t295 () (@list @t102 @t103)) % 0.77/1.05 (define @t296 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t27) @t31)))) % 0.77/1.05 (define @t297 () (tptp.c_Predicate_Oconversep @t66 @t1 @t199)) % 0.77/1.05 (define @t298 () (@var "V_a2" $$unsorted)) % 0.77/1.05 (define @t299 () (@var "V_a1" $$unsorted)) % 0.77/1.05 (define @t300 () (tptp.hAPP @t66 @t31)) % 0.77/1.05 (define @t301 () (tptp.hBOOL (tptp.hAPP @t300 @t27))) % 0.77/1.05 (define @t302 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t27) @t31))) % 0.77/1.05 (define @t303 () (@list @t2 @t63 @t1)) % 0.77/1.05 (define @t304 () (@var "V_u" $$unsorted)) % 0.77/1.05 (define @t305 () (tptp.hAPP @t211 @t56)) % 0.77/1.05 (define @t306 () (not (tptp.c_lessequals @t305 @t102 tptp.tc_nat))) % 0.77/1.05 (define @t307 () (tptp.c_lessequals @t56 @t102 tptp.tc_nat)) % 0.77/1.05 (define @t308 () (tptp.c_lessequals @t2 @t203 tptp.tc_nat)) % 0.77/1.05 (define @t309 () (tptp.c_lessequals @t2 @t3 tptp.tc_nat)) % 0.77/1.05 (define @t310 () (tptp.hAPP @t100 @t269)) % 0.77/1.05 (define @t311 () (@list @t100 @t99 @t96 @t269 @t1)) % 0.77/1.05 (define @t312 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.77/1.05 (define @t313 () (@var "V_Q" $$unsorted)) % 0.77/1.05 (define @t314 () (@var "V_R" $$unsorted)) % 0.77/1.05 (define @t315 () (@var "T_c" $$unsorted)) % 0.77/1.05 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t1)) % 0.77/1.05 (define @t317 () (not @t316)) % 0.77/1.05 (define @t318 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.77/1.05 (define @t319 () (@list @t71 @t102)) % 0.77/1.05 (define @t320 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.77/1.05 (define @t321 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_nat)) % 0.77/1.05 (define @t322 () (@list @t2 @t77)) % 0.77/1.05 (define @t323 () (tptp.c_List_Omap @t197 @t243 @t199 @t1)) % 0.77/1.05 (define @t324 () (not (tptp.c_HOL_Oord__class_Oless @t31 @t45 @t1))) % 0.77/1.05 (define @t325 () (not (tptp.c_lessequals @t56 @t103 tptp.tc_nat))) % 0.77/1.05 (define @t326 () (not @t307)) % 0.77/1.05 (define @t327 () (tptp.c_HOL_Ominus__class_Ominus @t102 @t56 tptp.tc_nat)) % 0.77/1.05 (define @t328 () (tptp.c_HOL_Ominus__class_Ominus @t103 @t56 tptp.tc_nat)) % 0.77/1.05 (define @t329 () (tptp.c_lessequals @t328 @t327 tptp.tc_nat)) % 0.77/1.05 (define @t330 () (@list @t103 @t56 @t102)) % 0.77/1.05 (define @t331 () (tptp.hAPP @t58 @t56)) % 0.77/1.05 (define @t332 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t53 @t52 tptp.tc_nat) @t56 tptp.tc_nat)) % 0.77/1.05 (define @t333 () (tptp.c_Power_Opower__class_Opower @t31 @t102 @t1)) % 0.77/1.05 (define @t334 () (@list @t1 @t27 @t102 @t31)) % 0.77/1.05 (define @t335 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.77/1.05 (define @t336 () (@var "V_y_H" $$unsorted)) % 0.77/1.05 (define @t337 () (@var "V_x_H" $$unsorted)) % 0.77/1.05 (define @t338 () (tptp.c_HOL_Ominus__class_Ominus @t337 @t336 @t1)) % 0.77/1.05 (define @t339 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t66 @t1 @t1) @t1) @t2) @t3))) % 0.77/1.05 (define @t340 () (tptp.hBOOL (tptp.hAPP @t154 @t2))) % 0.77/1.05 (define @t341 () (tptp.hAPP @t222 @t103)) % 0.77/1.05 (define @t342 () (@list @t56 @t103 @t102)) % 0.77/1.05 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t2 @t182 @t1)) % 0.77/1.05 (define @t344 () (@list @t1 @t2 @t27 @t31)) % 0.77/1.05 (define @t345 () (tptp.c_HOL_Oord__class_Oless @t14 @t6 @t1)) % 0.77/1.05 (define @t346 () (not @t136)) % 0.77/1.05 (define @t347 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.77/1.05 (define @t348 () (@var "V_env" $$unsorted)) % 0.77/1.05 (define @t349 () (not (tptp.c_HOL_Oord__class_Oless @t31 @t28 @t1))) % 0.77/1.05 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t35 @t28 @t1)) % 0.77/1.05 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t27 @t31 @t1)) % 0.77/1.05 (define @t352 () (not @t351)) % 0.77/1.05 (define @t353 () (not @t294)) % 0.77/1.05 (define @t354 () (tptp.c_HOL_Oord__class_Oless @t142 @t333 @t1)) % 0.77/1.05 (define @t355 () (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t115 @t133 @t1) @t1)) % 0.77/1.05 (define @t356 () (tptp.c_List_Olist_OCons @t2 @t115 @t1)) % 0.77/1.05 (define @t357 () (tptp.c_List_Oappend @t356 @t133 @t1)) % 0.77/1.05 (define @t358 () (@var "V_t_H" $$unsorted)) % 0.77/1.05 (define @t359 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t155) @t358)))) % 0.77/1.05 (define @t360 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t77)) % 0.77/1.05 (define @t361 () (tptp.hAPP @t360 @t155)) % 0.77/1.05 (define @t362 () (tptp.hAPP @t78 @t361)) % 0.77/1.05 (define @t363 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t76)) % 0.77/1.05 (define @t364 () (@var "V_xb" $$unsorted)) % 0.77/1.05 (define @t365 () (tptp.c_List_Olist_OCons @t2 @t63 @t199)) % 0.77/1.05 (define @t366 () (not (tptp.c_HOL_Oord__class_Oless @t28 @t31 @t1))) % 0.77/1.05 (define @t367 () (tptp.c_HOL_Oord__class_Oless @t28 @t35 @t1)) % 0.77/1.05 (define @t368 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t31 tptp.tc_nat))) % 0.77/1.05 (define @t369 () (= @t3 @t14)) % 0.77/1.05 (define @t370 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.77/1.05 (define @t371 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.77/1.05 (define @t372 () (= @t31 @t45)) % 0.77/1.05 (define @t373 () (not (= @t35 @t49))) % 0.77/1.05 (define @t374 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.77/1.05 (define @t375 () (@var "V_xs1" $$unsorted)) % 0.77/1.05 (define @t376 () (@var "V_list_H" $$unsorted)) % 0.77/1.05 (define @t377 () (@var "V_a_H" $$unsorted)) % 0.77/1.05 (define @t378 () (tptp.c_List_Olist_OCons @t377 @t376 @t1)) % 0.77/1.05 (define @t379 () (tptp.hAPP @t249 @t2)) % 0.77/1.05 (define @t380 () (tptp.hAPP @t379 @t3)) % 0.77/1.05 (define @t381 () (tptp.hAPP @t250 @t3)) % 0.77/1.05 (define @t382 () (tptp.hAPP @t381 @t14)) % 0.77/1.05 (define @t383 () (tptp.hAPP @t249 @t3)) % 0.77/1.05 (define @t384 () (tptp.hAPP @t249 @t246)) % 0.77/1.05 (define @t385 () (tptp.hAPP @t249 @t247)) % 0.77/1.05 (define @t386 () (tptp.hAPP @t250 @t2)) % 0.77/1.05 (define @t387 () (tptp.hAPP @t386 @t3)) % 0.77/1.05 (define @t388 () (tptp.hAPP @t250 @t247)) % 0.77/1.05 (define @t389 () (tptp.hAPP @t250 @t27)) % 0.77/1.05 (define @t390 () (tptp.hAPP @t389 @t45)) % 0.77/1.05 (define @t391 () (tptp.hAPP @t250 @t390)) % 0.77/1.05 (define @t392 () (tptp.hAPP @t250 @t45)) % 0.77/1.05 (define @t393 () (tptp.hAPP @t392 @t44)) % 0.77/1.05 (define @t394 () (tptp.hAPP @t389 @t393)) % 0.77/1.05 (define @t395 () (@list @t250 @t27 @t45 @t44 @t249 @t248 @t247 @t246 @t1)) % 0.77/1.05 (define @t396 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.77/1.05 (define @t397 () (not @t175)) % 0.77/1.05 (define @t398 () (not @t241)) % 0.77/1.05 (define @t399 () (tptp.c_lessequals @t2 @t182 @t1)) % 0.77/1.05 (define @t400 () (not @t183)) % 0.77/1.05 (define @t401 () (tptp.c_lessequals @t167 @t53 tptp.tc_nat)) % 0.77/1.05 (define @t402 () (tptp.c_lessequals @t52 @t61 tptp.tc_nat)) % 0.77/1.05 (define @t403 () (@list @t52 @t53 @t56)) % 0.77/1.05 (define @t404 () (@list @t52 @t56 @t53)) % 0.77/1.05 (define @t405 () (= @t63 @t128)) % 0.77/1.05 (define @t406 () (not (= @t128 @t85))) % 0.77/1.05 (define @t407 () (@list @t1 @t63 @t65)) % 0.77/1.05 (define @t408 () (= @t65 @t128)) % 0.77/1.05 (define @t409 () (not (= @t85 @t128))) % 0.77/1.05 (define @t410 () (@list @t63 @t65 @t1)) % 0.77/1.05 (define @t411 () (tptp.c_fequal @t1)) % 0.77/1.05 (define @t412 () (tptp.c_lessequals @t27 @t28 @t1)) % 0.77/1.05 (define @t413 () (not @t412)) % 0.77/1.05 (define @t414 () (not (tptp.c_lessequals @t31 @t28 @t1))) % 0.77/1.05 (define @t415 () (tptp.hAPP @t60 @t167)) % 0.77/1.05 (define @t416 () (tptp.c_HOL_Ominus__class_Ominus @t206 @t56 tptp.tc_nat)) % 0.77/1.05 (define @t417 () (tptp.hAPP (tptp.hAPP @t57 @t167) @t53)) % 0.77/1.05 (define @t418 () (tptp.hAPP @t58 @t53)) % 0.77/1.05 (define @t419 () (tptp.c_HOL_Ominus__class_Ominus @t418 @t56 tptp.tc_nat)) % 0.77/1.05 (define @t420 () (tptp.c_List_Oreplicate @t117 @t2 @t1)) % 0.77/1.05 (define @t421 () (@list @t2)) % 0.77/1.05 (define @t422 () (@list @t102)) % 0.77/1.05 (define @t423 () (tptp.hAPP @t222 @t53)) % 0.77/1.05 (define @t424 () (@list @t53 @t56)) % 0.77/1.05 (define @t425 () (tptp.c_Lambda_Oliftn @t102 @t83 @t56)) % 0.77/1.05 (define @t426 () (@list @t102 @t53 @t56)) % 0.77/1.05 (define @t427 () (tptp.hAPP tptp.c_Lambda_Olift @t77)) % 0.77/1.05 (define @t428 () (tptp.hAPP @t427 @t53)) % 0.77/1.05 (define @t429 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t66) @t53)) % 0.77/1.05 (define @t430 () (@list @t66 @t53 @t77)) % 0.77/1.05 (define @t431 () (@list @t66 @t65 @t63 @t1 @t3 @t2)) % 0.77/1.05 (define @t432 () (tptp.c_HOL_Ominus__class_Ominus @t102 @t103 tptp.tc_nat)) % 0.77/1.05 (define @t433 () (@var "V_plus" $$unsorted)) % 0.77/1.05 (define @t434 () (not (tptp.c_OrderedGroup_Osemigroup__add @t433 @t1))) % 0.77/1.05 (define @t435 () (tptp.hAPP @t433 @t27)) % 0.77/1.05 (define @t436 () (tptp.c_List_Olistsum @t63 @t1)) % 0.77/1.05 (define @t437 () (@list @t1 @t2 @t63)) % 0.77/1.05 (define @t438 () (tptp.c_lessequals @t102 @t103 tptp.tc_nat)) % 0.77/1.05 (define @t439 () (not @t438)) % 0.77/1.05 (define @t440 () (tptp.c_HOL_Oord__class_Oless @t102 @t103 tptp.tc_nat)) % 0.77/1.05 (define @t441 () (tptp.c_List_Oreplicate @t102 @t2 @t1)) % 0.77/1.05 (define @t442 () (tptp.c_List_Oreplicate @t56 @t2 @t1)) % 0.77/1.05 (define @t443 () (tptp.c_lessequals @t74 @t28 @t1)) % 0.77/1.05 (define @t444 () (not (tptp.c_HOL_Oord__class_Oless @t45 @t44 @t1))) % 0.77/1.05 (define @t445 () (tptp.c_HOL_Oord__class_Oless @t49 @t48 @t1)) % 0.77/1.05 (define @t446 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.77/1.05 (define @t447 () (tptp.c_HOL_Oord__class_Oless @t74 @t28 @t1)) % 0.77/1.05 (define @t448 () (tptp.c_HOL_Oord__class_Oless @t107 @t106 @t1)) % 0.77/1.05 (define @t449 () (tptp.c_lessequals @t49 @t282 @t1)) % 0.77/1.05 (define @t450 () (@list @t1 @t27 @t45 @t31)) % 0.77/1.05 (define @t451 () (tptp.hAPP @t214 @t31)) % 0.77/1.05 (define @t452 () (tptp.c_lessequals @t215 @t451 @t1)) % 0.77/1.05 (define @t453 () (@list @t1 @t45 @t27 @t31)) % 0.77/1.05 (define @t454 () (tptp.c_lessequals @t341 @t223 tptp.tc_nat)) % 0.77/1.05 (define @t455 () (@list @t53 @t52)) % 0.77/1.05 (define @t456 () (= (tptp.hAPP @t118 @t138) @t103)) % 0.77/1.05 (define @t457 () (tptp.c_List_Ofoldr @t33 @t63 @t28 @t1 @t1)) % 0.77/1.05 (define @t458 () (@list @t1 @t63)) % 0.77/1.05 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t28 @t106 @t1)) % 0.77/1.05 (define @t460 () (@list @t1 @t102)) % 0.77/1.05 (define @t461 () (= @t65 @t63)) % 0.77/1.05 (define @t462 () (@var "V_ts" $$unsorted)) % 0.77/1.05 (define @t463 () (tptp.hAPP tptp.c_Lambda_Olift @t155)) % 0.77/1.05 (define @t464 () (tptp.hAPP @t463 @t53)) % 0.77/1.05 (define @t465 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t155 @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t466 () (= @t102 @t117)) % 0.77/1.05 (define @t467 () (tptp.hAPP @t389 @t31)) % 0.77/1.05 (define @t468 () (tptp.hAPP @t250 @t467)) % 0.77/1.05 (define @t469 () (tptp.hAPP @t468 @t45)) % 0.77/1.05 (define @t470 () (@list @t250 @t27 @t31 @t45 @t249 @t248 @t247 @t246 @t1)) % 0.77/1.05 (define @t471 () (tptp.hAPP @t250 @t31)) % 0.77/1.05 (define @t472 () (@var "V_ry" $$unsorted)) % 0.77/1.05 (define @t473 () (@var "V_lx" $$unsorted)) % 0.77/1.05 (define @t474 () (tptp.hAPP @t249 @t473)) % 0.77/1.05 (define @t475 () (@var "V_rx" $$unsorted)) % 0.77/1.05 (define @t476 () (tptp.hAPP @t249 @t475)) % 0.77/1.05 (define @t477 () (tptp.hAPP @t476 @t472)) % 0.77/1.05 (define @t478 () (tptp.hAPP @t474 @t477)) % 0.77/1.05 (define @t479 () (@list @t249 @t473 @t475 @t472 @t250 @t248 @t247 @t246 @t1)) % 0.77/1.05 (define @t480 () (tptp.hAPP @t249 (tptp.hAPP @t474 @t475))) % 0.77/1.05 (define @t481 () (@var "V_ly" $$unsorted)) % 0.77/1.05 (define @t482 () (tptp.hAPP @t249 @t481)) % 0.77/1.05 (define @t483 () (tptp.hAPP @t249 (tptp.hAPP @t474 @t481))) % 0.77/1.05 (define @t484 () (tptp.hAPP @t483 @t475)) % 0.77/1.05 (define @t485 () (@list @t249 @t473 @t481 @t475 @t250 @t248 @t247 @t246 @t1)) % 0.77/1.05 (define @t486 () (tptp.hAPP @t483 @t477)) % 0.77/1.05 (define @t487 () (@list @t249 @t473 @t481 @t475 @t472 @t250 @t248 @t247 @t246 @t1)) % 0.77/1.05 (define @t488 () (tptp.hAPP @t249 @t27)) % 0.77/1.05 (define @t489 () (tptp.hAPP @t249 @t31)) % 0.77/1.05 (define @t490 () (tptp.hAPP @t249 @t467)) % 0.77/1.05 (define @t491 () (tptp.hAPP @t250 @t103)) % 0.77/1.05 (define @t492 () (tptp.hAPP (tptp.hAPP @t249 (tptp.hAPP @t389 @t246)) @t103)) % 0.77/1.05 (define @t493 () (tptp.hAPP @t488 @t103)) % 0.77/1.05 (define @t494 () (tptp.hAPP @t250 @t493)) % 0.77/1.05 (define @t495 () (@list @t1 @t103)) % 0.77/1.05 (define @t496 () (= @t27 @t31)) % 0.77/1.05 (define @t497 () (not @t207)) % 0.77/1.05 (define @t498 () (not (tptp.c_Type_Otyping @t239 @t155 @t238))) % 0.77/1.05 (define @t499 () (tptp.c_Type_Otyping @t239 @t358 @t238)) % 0.77/1.05 (define @t500 () (@list @t239 @t358 @t238 @t155)) % 0.77/1.05 (define @t501 () (tptp.c_List_Oappend @t128 @t111 @t1)) % 0.77/1.05 (define @t502 () (tptp.hAPP (tptp.hAPP @t190 @t304) @t53)) % 0.77/1.05 (define @t503 () (@var "V_e_H" $$unsorted)) % 0.77/1.05 (define @t504 () (@var "V_U" $$unsorted)) % 0.77/1.05 (define @t505 () (tptp.c_Orderings_Oord__class_Omax @t2 @t178 @t1)) % 0.77/1.05 (define @t506 () (tptp.c_List_Oappend @t128 @t128 @t1)) % 0.77/1.05 (define @t507 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t77) @t155)))) % 0.77/1.05 (define @t508 () (@list @t77 @t155)) % 0.77/1.05 (define @t509 () (tptp.c_List_Oreplicate @t53 @t2 @t1)) % 0.77/1.05 (define @t510 () (@var "V_zero" $$unsorted)) % 0.77/1.05 (define @t511 () (not (tptp.c_OrderedGroup_Omonoid__add @t510 @t433 @t1))) % 0.77/1.05 (define @t512 () (not @t293)) % 0.77/1.05 (define @t513 () (tptp.c_HOL_Oord__class_Oless @t28 @t91 @t1)) % 0.77/1.05 (define @t514 () (= @t27 @t28)) % 0.77/1.05 (define @t515 () (not (= @t142 @t28))) % 0.77/1.05 (define @t516 () (not (tptp.class_Power_Opower @t1))) % 0.77/1.05 (define @t517 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.77/1.05 (define @t518 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.77/1.05 (define @t519 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.77/1.05 (define @t520 () (= @t335 @t28)) % 0.77/1.05 (define @t521 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1)) % 0.77/1.05 (define @t522 () (not (= @t74 @t28))) % 0.77/1.05 (define @t523 () (= (tptp.hAPP @t38 @t27) @t27)) % 0.77/1.05 (define @t524 () (= (tptp.hAPP @t34 @t28) @t27)) % 0.77/1.05 (define @t525 () (not (= @t219 @t117))) % 0.77/1.05 (define @t526 () (= @t103 @t117)) % 0.77/1.05 (define @t527 () (@list @t103)) % 0.77/1.05 (define @t528 () (not (tptp.class_OrderedGroup_Osemigroup__add @t1))) % 0.77/1.05 (define @t529 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t53 tptp.tc_nat))) % 0.77/1.05 (define @t530 () (tptp.c_HOL_Oord__class_Oless @t328 @t327 tptp.tc_nat)) % 0.77/1.05 (define @t531 () (tptp.c_Lambda_OdB_OVar @t52)) % 0.77/1.05 (define @t532 () (tptp.c_lessequals @t91 @t28 @t1)) % 0.77/1.05 (define @t533 () (tptp.c_HOL_Oord__class_Oless @t53 @t167 tptp.tc_nat)) % 0.77/1.05 (define @t534 () (tptp.c_HOL_Oord__class_Oless @t61 @t52 tptp.tc_nat)) % 0.77/1.05 (define @t535 () (tptp.c_HOL_Oord__class_Oless @t49 @t282 @t1)) % 0.77/1.05 (define @t536 () (tptp.c_HOL_Oord__class_Oless @t215 @t451 @t1)) % 0.77/1.05 (define @t537 () (tptp.c_HOL_Oord__class_Oless @t341 @t223 tptp.tc_nat)) % 0.77/1.05 (define @t538 () (@var "V_list" $$unsorted)) % 0.77/1.05 (define @t539 () (not (= (tptp.c_List_Olist_OCons @t27 @t538 @t1) @t378))) % 0.77/1.05 (define @t540 () (@list @t27 @t538 @t1 @t377 @t376)) % 0.77/1.05 (define @t541 () (@var "V_xd" $$unsorted)) % 0.77/1.05 (define @t542 () (@var "V_nat_H" $$unsorted)) % 0.77/1.05 (define @t543 () (tptp.c_HOL_Oord__class_Oless @t117 @t432 tptp.tc_nat)) % 0.77/1.05 (define @t544 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.77/1.05 (define @t545 () (tptp.c_lessequals @t336 @t337 @t1)) % 0.77/1.05 (define @t546 () (not (= @t521 @t338))) % 0.77/1.05 (define @t547 () (@list @t1 @t2 @t3 @t337 @t336)) % 0.77/1.05 (define @t548 () (tptp.c_HOL_Oord__class_Oless @t337 @t336 @t1)) % 0.77/1.05 (define @t549 () (not (= @t233 @t234))) % 0.77/1.05 (define @t550 () (@list @t63 @t2 @t1 @t65 @t3)) % 0.77/1.05 (define @t551 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.77/1.05 (define @t552 () (tptp.c_HOL_Oord__class_Oless @t31 @t27 @t1)) % 0.77/1.05 (define @t553 () (@list @t1 @t31 @t27)) % 0.77/1.05 (define @t554 () (not @t552)) % 0.77/1.05 (define @t555 () (tptp.hBOOL (tptp.hAPP @t145 @t45))) % 0.77/1.05 (define @t556 () (@list @t66 @t1 @t27 @t45 @t31)) % 0.77/1.05 (define @t557 () (tptp.hBOOL (tptp.hAPP @t71 @t269))) % 0.77/1.05 (define @t558 () (@list @t71 @t269)) % 0.77/1.05 (define @t559 () (@list @t45)) % 0.77/1.05 (define @t560 () (tptp.hAPP @t57 @t117)) % 0.77/1.05 (define @t561 () (tptp.c_List_Ofoldl @t33 @t28 @t63 @t1 @t1)) % 0.77/1.05 (define @t562 () (@var "V_dB2" $$unsorted)) % 0.77/1.05 (define @t563 () (@var "V_dB1" $$unsorted)) % 0.77/1.05 (define @t564 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t563) @t562)) % 0.77/1.05 (define @t565 () (@var "V_xc" $$unsorted)) % 0.77/1.05 (define @t566 () (tptp.hAPP (tptp.hAPP @t99 @t563) @t562)) % 0.77/1.05 (define @t567 () (@var "V_dB2_H" $$unsorted)) % 0.77/1.05 (define @t568 () (@var "V_dB1_H" $$unsorted)) % 0.77/1.05 (define @t569 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t568) @t567)) % 0.77/1.05 (define @t570 () (tptp.hAPP @t463 @t56)) % 0.77/1.05 (define @t571 () (@list @t100 @t99 @t96 @t563 @t562 @t1)) % 0.77/1.05 (define @t572 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t304)) % 0.77/1.05 (define @t573 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t155)) % 0.77/1.05 (define @t574 () (tptp.hAPP @t573 @t304)) % 0.77/1.05 (define @t575 () (@list @t155 @t304 @t77 @t56)) % 0.77/1.05 (define @t576 () (@var "V_ss" $$unsorted)) % 0.77/1.05 (define @t577 () (tptp.c_Lambda_OdB_OAbs @t66)) % 0.77/1.05 (define @t578 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t577) @t77) @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t579 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t259 @t77) @t117) @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t580 () (@list @t66 @t77 @t576)) % 0.77/1.05 (define @t581 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t77 @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t582 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t583 () (@list @t66 @t576 @t77)) % 0.77/1.05 (define @t584 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t83 @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t585 () (@var "V_rs" $$unsorted)) % 0.77/1.05 (define @t586 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t587 () (= @t576 @t586)) % 0.77/1.05 (define @t588 () (not (= @t577 @t581))) % 0.77/1.05 (define @t589 () (tptp.c_Lambda_OdB_OVar @t102)) % 0.77/1.05 (define @t590 () (tptp.c_Lambda_OdB_OVar @t103)) % 0.77/1.05 (define @t591 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t577 @t586 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t592 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t66) @t77)) % 0.77/1.05 (define @t593 () (not (= @t581 @t577))) % 0.77/1.05 (define @t594 () (@list @t77 @t576 @t66)) % 0.77/1.05 (define @t595 () (not (= @t590 @t581))) % 0.77/1.05 (define @t596 () (@list @t103 @t77 @t576)) % 0.77/1.05 (define @t597 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t589 @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t598 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t80) @t155)) % 0.77/1.05 (define @t599 () (tptp.hAPP @t433 @t2)) % 0.77/1.05 (define @t600 () (@list @t155 @t53)) % 0.77/1.05 (define @t601 () (not @t159)) % 0.77/1.05 (define @t602 () (@var "V_T_H" $$unsorted)) % 0.77/1.05 (define @t603 () (tptp.c_Type_Oshift @t239 @t53 tptp.v_T____ tptp.tc_Type_Otype)) % 0.77/1.05 (define @t604 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t304)))) % 0.77/1.05 (define @t605 () (not (tptp.c_Type_Otyping @t239 @t304 tptp.v_T____))) % 0.77/1.05 (define @t606 () (@list @t304 @t53 @t239 @t602)) % 0.77/1.05 (define @t607 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.77/1.05 (define @t608 () (= (tptp.c_Power_Opower__class_Opower @t28 @t102 @t1) @t28)) % 0.77/1.05 (define @t609 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t590 @t585 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t597))) % 0.77/1.05 (define @t610 () (@list @t103 @t585 @t102 @t576)) % 0.77/1.05 (define @t611 () (= @t585 @t576)) % 0.77/1.05 (define @t612 () (= @t66 @t77)) % 0.77/1.05 (define @t613 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t577 @t585 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t80 @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.05 (define @t614 () (@list @t66 @t585 @t77 @t576)) % 0.77/1.05 (define @t615 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_r____) tptp.v_a____) @t117) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.77/1.05 (define @t616 () (tptp.hAPP tptp.c_Lambda_Osubst @t615)) % 0.77/1.05 (define @t617 () (forall @t606 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t616 @t304) @t53))) @t605 @t604 (not (tptp.c_Type_Otyping @t603 @t615 @t602))))) % 0.77/1.05 (define @t618 () (not (= @t564 @t569))) % 0.77/1.05 (define @t619 () (@list @t563 @t562 @t568 @t567)) % 0.77/1.05 (define @t620 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.77/1.05 (define @t621 () (tptp.c_Type_Otyping @t607 @t615 tptp.v_T_H____)) % 0.77/1.05 (define @t622 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t616 tptp.v_u____) tptp.v_i____)))) % 0.77/1.05 (define @t623 () (@var "T_1" $$unsorted)) % 0.77/1.05 (define @t624 () (@var "T_2" $$unsorted)) % 0.77/1.05 (define @t625 () (tptp.tc_fun @t624 @t623)) % 0.77/1.05 (define @t626 () (@list @t624 @t623)) % 0.77/1.05 (define @t627 () (@var "V_Y" $$unsorted)) % 0.77/1.05 (define @t628 () (@var "V_X" $$unsorted)) % 0.77/1.05 (define @t629 () (not @t621)) % 0.77/1.05 (define @t630 () (not @t620)) % 0.77/1.05 (define @t631 () (not @t551)) % 0.77/1.05 (define @t632 () (or @t622 @t631 @t630 @t629)) % 0.77/1.05 (define @t633 () (not @t632)) % 0.77/1.05 (assume @p1 (forall @t8 (or @t7 (= @t6 @t2) @t5))) % 0.77/1.05 (assume @p2 (forall @t8 (or @t7 (not @t10) @t9))) % 0.77/1.05 (assume @p3 (forall @t8 (or @t7 @t10 @t11))) % 0.77/1.05 (assume @p4 (forall @t19 (or @t18 @t17 @t16 @t13))) % 0.77/1.05 (assume @p5 (forall @t26 (or @t25 @t24 @t23 @t21))) % 0.77/1.05 (assume @p6 (forall @t37 (or @t36 (tptp.c_lessequals @t28 @t35 @t1) @t32 @t30))) % 0.77/1.05 (assume @p7 (forall @t41 (or @t36 @t40 @t40 @t39))) % 0.77/1.05 (assume @p8 (forall @t51 (or @t50 (tptp.c_lessequals @t49 @t48 @t1) @t46 @t43))) % 0.77/1.05 (assume @p9 (forall @t62 (or (tptp.c_lessequals @t61 @t59 tptp.tc_nat) (not (tptp.c_lessequals @t56 @t55 tptp.tc_nat)) @t54))) % 0.77/1.05 (assume @p10 (forall (@list @t66 @t65 @t63 @t1 @t2) (or @t68 (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Oappend @t65 @t2 @t1) @t64 @t1)))) % 0.77/1.05 (assume @p11 (forall (@list @t66 @t2 @t70 @t1 @t69) (or (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Oappend @t2 @t70 @t1) (tptp.c_List_Oappend @t2 @t69 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t66 @t70 @t69 @t1))))) % 0.77/1.05 (assume @p12 (forall (@list @t71 @t31 @t44) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t72 @t44) @t31 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t71 @t44))))) % 0.77/1.05 (assume @p13 (forall (@list @t71 @t31 @t2) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t72 @t2) @t31 tptp.tc_nat)))) @t73))) % 0.77/1.05 (assume @p14 (forall @t37 (or @t75 (= (tptp.hAPP (tptp.hAPP @t33 @t74) @t31) @t27)))) % 0.77/1.05 (assume @p15 (forall (@list @t77 @t76) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t80) (tptp.c_Lambda_OdB_OAbs @t76))) @t79))) % 0.77/1.05 (assume @p16 (forall @t84 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t83) @t77) @t56) @t83) @t82 @t81))) % 0.77/1.05 (assume @p17 (forall (@list @t86 @t63 @t1 @t65) (or @t89 @t88))) % 0.77/1.05 (assume @p18 (forall (@list @t86 @t65 @t1 @t63) (or @t90 @t88))) % 0.77/1.05 (assume @p19 (forall @t94 (or @t93 @t92 @t30))) % 0.77/1.05 (assume @p20 (forall @t94 (or @t93 @t29 (not @t92)))) % 0.77/1.05 (assume @p21 (forall @t101 (= (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 @t98 @t1) @t97))) % 0.77/1.05 (assume @p22 (forall @t110 (or @t109 @t108 @t105))) % 0.77/1.05 (assume @p23 (forall @t110 (or @t109 @t104 (not @t108)))) % 0.77/1.05 (assume @p24 (forall (@list @t2 @t3 @t63 @t65 @t66 @t1) (or @t114 @t113 @t112))) % 0.77/1.05 (assume @p25 (forall (@list @t66 @t3 @t115 @t2 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t116 @t115))) (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Olist_OCons @t3 @t2 @t1) (tptp.c_List_Olist_OCons @t115 @t2 @t1) @t1)))) % 0.77/1.05 (assume @p26 (forall @t120 (or (tptp.c_HOL_Oord__class_Oless @t103 @t119 tptp.tc_nat) @t105 (not (tptp.c_HOL_Oord__class_Oless @t117 @t56 tptp.tc_nat))))) % 0.77/1.05 (assume @p27 (forall @t127 (or @t126 @t125 @t124 @t123 @t122))) % 0.77/1.05 (assume @p28 (forall (@list @t86 @t1) (tptp.c_List_Olistsp @t86 @t128 @t1))) % 0.77/1.05 (assume @p29 (forall @t132 (or @t131 @t129))) % 0.77/1.05 (assume @p30 (forall (@list @t65 @t63 @t1 @t133) (or (not (= (tptp.c_List_Oappend @t65 @t63 @t1) (tptp.c_List_Oappend @t133 @t63 @t1))) @t134))) % 0.77/1.05 (assume @p31 (forall @t135 (or (not (= @t85 (tptp.c_List_Oappend @t63 @t133 @t1))) @t134))) % 0.77/1.05 (assume @p32 (forall @t137 (or @t7 @t136 @t23 (not @t24)))) % 0.77/1.05 (assume @p33 (forall @t141 (or @t140 @t104))) % 0.77/1.05 (assume @p34 (forall @t141 (or @t139 @t105))) % 0.77/1.05 (assume @p35 (forall @t143 (or @t109 (tptp.c_lessequals @t28 @t142 @t1) @t30))) % 0.77/1.05 (assume @p36 (forall (@list @t66 @t1 @t27) (tptp.hBOOL (tptp.hAPP @t145 @t27)))) % 0.77/1.05 (assume @p37 (forall (@list @t66 @t1 @t2) (tptp.hBOOL (tptp.hAPP @t146 @t2)))) % 0.77/1.05 (assume @p38 (forall @t152 (or @t151 @t150 @t148))) % 0.77/1.05 (assume @p39 (forall @t152 (or @t151 @t148 @t150))) % 0.77/1.05 (assume @p40 (forall (@list @t66 @t1 @t2 @t14 @t3) (or (tptp.hBOOL (tptp.hAPP @t146 @t14)) (not (tptp.hBOOL (tptp.hAPP @t154 @t14))) (not @t153)))) % 0.77/1.05 (assume @p41 (forall @t158 (or (tptp.c_Wellfounded_Oaccp @t157 @t155 tptp.tc_Lambda_OdB) @t156))) % 0.77/1.05 (assume @p42 (forall @t160 (or @t159 (not (tptp.c_Wellfounded_Oaccp @t157 @t66 tptp.tc_Lambda_OdB))))) % 0.77/1.05 (assume @p43 (forall (@list @t71 @t102 @t2) (or @t165 @t73 (not (tptp.c_HOL_Oord__class_Oless @t2 @t163 tptp.tc_nat)) @t162))) % 0.77/1.05 (assume @p44 (forall @t170 (or @t169 (not @t168) @t166))) % 0.77/1.05 (assume @p45 (forall @t171 (or @t168 (not @t169) @t166))) % 0.77/1.05 (assume @p46 (forall @t137 (or @t7 @t175 @t174 (not @t172)))) % 0.77/1.05 (assume @p47 (forall @t179 (or @t7 (tptp.c_lessequals @t178 @t2 @t1) @t177 @t5))) % 0.77/1.05 (assume @p48 (forall (@list @t1 @t27 @t31 @t2) (or @t7 @t183 (not @t181) (not @t180)))) % 0.77/1.05 (assume @p49 (forall @t8 (or @t7 (tptp.c_lessequals @t2 @t6 @t1)))) % 0.77/1.05 (assume @p50 (forall @t184 (or @t7 (tptp.c_lessequals @t3 @t6 @t1)))) % 0.77/1.05 (assume @p51 (forall @t186 (= @t185 @t63))) % 0.77/1.05 (assume @p52 (forall @t187 (= @t2 (tptp.c_List_Oappend @t128 @t2 @t1)))) % 0.77/1.05 (assume @p53 (forall @t186 (= @t63 @t185))) % 0.77/1.05 (assume @p54 (forall (@list @t1 @t65) (= @t188 @t65))) % 0.77/1.05 (assume @p55 (forall (@list @t65 @t1) (= @t65 @t188))) % 0.77/1.05 (assume @p56 (forall @t193 (or @t192 @t189))) % 0.77/1.05 (assume @p57 (forall @t194 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t1) @t2 @t1)))) % 0.77/1.05 (assume @p58 (forall @t127 (or @t126 @t125 @t195 @t123 @t30))) % 0.77/1.05 (assume @p59 (forall @t127 (or @t126 @t125 @t195 @t196 (not (tptp.c_lessequals @t28 @t45 @t1))))) % 0.77/1.05 (assume @p60 (forall (@list @t197 @t102 @t2 @t199 @t1) (= (tptp.c_List_Omap @t197 (tptp.c_List_Oreplicate @t102 @t2 @t199) @t199 @t1) (tptp.c_List_Oreplicate @t102 @t198 @t1)))) % 0.77/1.05 (assume @p61 (forall @t205 (or @t204 @t201))) % 0.77/1.05 (assume @p62 (forall @t205 (or @t204 (not (tptp.c_HOL_Oord__class_Oless @t2 @t14 tptp.tc_nat))))) % 0.77/1.05 (assume @p63 (forall @t170 (or @t207 (not (tptp.c_HOL_Oord__class_Oless @t206 @t56 tptp.tc_nat))))) % 0.77/1.05 (assume @p64 (forall @t210 (or (tptp.c_HOL_Oord__class_Oless @t53 @t209 tptp.tc_nat) @t208))) % 0.77/1.05 (assume @p65 (forall @t213 (or (tptp.c_HOL_Oord__class_Oless @t53 @t212 tptp.tc_nat) @t208))) % 0.77/1.05 (assume @p66 (forall (@list @t1 @t27 @t45) (or @t216 (= @t49 @t215)))) % 0.77/1.05 (assume @p67 (forall @t37 (or @t125 (= @t35 @t217)))) % 0.77/1.05 (assume @p68 (forall @t141 (= @t219 @t218))) % 0.77/1.05 (assume @p69 (forall (@list @t103 @t55 @t56 @t102) (or (not (= (tptp.hAPP @t211 @t55) @t223)) @t221 @t220))) % 0.77/1.05 (assume @p70 (forall @t8 (or @t216 (= @t226 (tptp.hAPP @t224 @t2))))) % 0.77/1.05 (assume @p71 (forall @t230 (or (tptp.c_HOL_Oord__class_Oless @t229 @t228 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t103 @t55 tptp.tc_nat)) @t227))) % 0.77/1.05 (assume @p72 (forall (@list @t197 @t63 @t65 @t199 @t27 @t1) (= (tptp.c_List_Ofoldr @t197 @t231 @t27 @t199 @t1) (tptp.c_List_Ofoldr @t197 @t63 (tptp.c_List_Ofoldr @t197 @t65 @t27 @t199 @t1) @t199 @t1)))) % 0.77/1.05 (assume @p73 (forall (@list @t66 @t3 @t2 @t65 @t1 @t63) (or @t237 @t236 @t235))) % 0.77/1.05 (assume @p74 (forall @t110 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t107 @t106)) @t129))) % 0.77/1.05 (assume @p75 (forall (@list @t239 @t53 @t238) (or (= (tptp.hAPP @t239 @t53) @t238) (not (tptp.c_Type_Otyping @t239 @t83 @t238))))) % 0.77/1.05 (assume @p76 (forall @t242 (or @t7 @t241 @t176 (not @t240)))) % 0.77/1.05 (assume @p77 (forall (@list @t1 @t197 @t63 @t199) (or (not (= @t128 @t245)) @t244))) % 0.77/1.05 (assume @p78 (forall (@list @t102 @t1) (= (tptp.c_List_Odrop @t102 @t128 @t1) @t128))) % 0.77/1.05 (assume @p79 (forall (@list @t249 @t248 @t2 @t253 @t252 @t250 @t247 @t246 @t1) (or (= (tptp.hAPP (tptp.hAPP @t249 (tptp.hAPP @t254 @t253)) @t255) (tptp.hAPP @t254 (tptp.hAPP (tptp.hAPP @t57 @t253) @t252))) @t251))) % 0.77/1.05 (assume @p80 (forall @t261 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t260) @t258)) @t256))) % 0.77/1.05 (assume @p81 (forall @t193 (or @t192 @t256))) % 0.77/1.05 (assume @p82 (forall @t8 (or @t36 @t264 @t263 @t262 (= @t3 @t28)))) % 0.77/1.05 (assume @p83 (forall @t8 (or @t36 @t264 @t263 @t262 (= @t2 @t28)))) % 0.77/1.05 (assume @p84 (forall (@list @t1 @t63 @t27) (or @t266 (= (tptp.c_List_Ofoldr @t33 @t63 @t27 @t1 @t1) @t265)))) % 0.77/1.05 (assume @p85 (forall (@list @t269 @t267) (not (= @t270 @t268)))) % 0.77/1.05 (assume @p86 (forall @t271 (or @t153 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t2) @t3)))))) % 0.77/1.05 (assume @p87 (forall (@list @t66 @t1 @t63) (not (tptp.c_ListOrder_Ostep1 @t66 @t128 @t63 @t1)))) % 0.77/1.05 (assume @p88 (forall (@list @t66 @t63 @t1) (not (tptp.c_ListOrder_Ostep1 @t66 @t63 @t128 @t1)))) % 0.77/1.05 (assume @p89 (forall @t94 (or @t93 @t274 @t273))) % 0.77/1.05 (assume @p90 (forall @t94 (or @t93 @t272 @t275))) % 0.77/1.05 (assume @p91 (forall @t137 (or @t216 (= @t277 (tptp.hAPP (tptp.hAPP @t33 @t226) @t14))))) % 0.77/1.05 (assume @p92 (forall @t137 (or @t279 (= @t277 (tptp.hAPP @t224 @t278))))) % 0.77/1.05 (assume @p93 (forall @t205 (= (tptp.hAPP @t280 @t203) (tptp.hAPP @t202 @t281)))) % 0.77/1.05 (assume @p94 (forall @t120 (= (tptp.hAPP (tptp.hAPP @t57 @t219) @t56) (tptp.hAPP @t211 @t119)))) % 0.77/1.05 (assume @p95 (forall @t287 (or @t125 @t286))) % 0.77/1.05 (assume @p96 (forall @t287 (or @t125 (= @t283 (tptp.hAPP @t47 @t49))))) % 0.77/1.05 (assume @p97 (forall @t287 (or @t266 @t286))) % 0.77/1.05 (assume @p98 (forall @t291 (or @t216 (= @t290 (tptp.hAPP @t288 @t44))))) % 0.77/1.05 (assume @p99 (forall @t287 (or @t216 (= @t285 (tptp.hAPP @t288 @t31))))) % 0.77/1.05 (assume @p100 (forall @t291 (or @t216 (= @t290 (tptp.hAPP @t214 (tptp.hAPP @t34 @t44)))))) % 0.77/1.05 (assume @p101 (forall @t287 (or @t216 @t286))) % 0.77/1.05 (assume @p102 (forall @t295 (or @t294 @t293 (not @t292)))) % 0.77/1.05 (assume @p103 (forall (@list @t66 @t1 @t199 @t31 @t27) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t31) @t27)) @t296))) % 0.77/1.05 (assume @p104 (forall (@list @t66 @t298 @t299 @t1 @t199) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t298) @t299)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t299) @t298)))))) % 0.77/1.05 (assume @p105 (forall (@list @t66 @t1 @t199 @t27 @t31) (or @t302 (not @t301)))) % 0.77/1.05 (assume @p106 (forall (@list @t66 @t31 @t27 @t1 @t199) (or @t301 (not @t302)))) % 0.77/1.05 (assume @p107 (forall @t303 (= (tptp.c_List_Odrop @t117 @t111 @t1) @t111))) % 0.77/1.05 (assume @p108 (forall (@list @t1 @t2 @t3 @t14 @t304) (or @t279 (not (= @t277 (tptp.hAPP @t224 @t304))) (= @t278 @t304)))) % 0.77/1.05 (assume @p109 (forall @t213 (or (tptp.c_lessequals @t53 @t212 tptp.tc_nat) @t54))) % 0.77/1.05 (assume @p110 (forall @t210 (or (tptp.c_lessequals @t53 @t209 tptp.tc_nat) @t54))) % 0.77/1.05 (assume @p111 (forall (@list @t56 @t102 @t103) (or @t307 @t306))) % 0.77/1.05 (assume @p112 (forall @t120 (or @t104 @t306))) % 0.77/1.05 (assume @p113 (forall @t205 (or @t308 (not (tptp.c_lessequals @t2 @t14 tptp.tc_nat))))) % 0.77/1.05 (assume @p114 (forall @t205 (or @t308 (not @t309)))) % 0.77/1.05 (assume @p115 (forall @t311 (= (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 @t270 @t1) @t310))) % 0.77/1.05 (assume @p116 (forall @t137 (or @t312 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t14 @t1) (tptp.c_Orderings_Oord__class_Omax (tptp.c_HOL_Ominus__class_Ominus @t2 @t14 @t1) (tptp.c_HOL_Ominus__class_Ominus @t3 @t14 @t1) @t1))))) % 0.77/1.05 (assume @p117 (forall (@list @t71 @t313 @t199 @t315 @t1 @t314) (= (tptp.hAPP (tptp.c_COMBC @t71 @t313 @t199 @t315 @t1) @t314) (tptp.hAPP (tptp.hAPP @t71 @t314) @t313)))) % 0.77/1.05 (assume @p118 (forall @t8 (or @t7 @t20 @t4))) % 0.77/1.05 (assume @p119 (forall @t194 (or @t7 (not @t318) @t317))) % 0.77/1.05 (assume @p120 (forall @t194 (or @t7 @t316 @t318))) % 0.77/1.05 (assume @p121 (forall @t8 (or @t7 @t21 @t5))) % 0.77/1.05 (assume @p122 (forall @t184 (or @t7 @t4 @t20))) % 0.77/1.05 (assume @p123 (forall @t8 (or @t7 @t11 @t13))) % 0.77/1.05 (assume @p124 (forall @t184 (or @t7 @t12 @t9))) % 0.77/1.05 (assume @p125 (forall @t184 (or @t25 @t5 @t21))) % 0.77/1.05 (assume @p126 (forall @t319 (or @t165 (tptp.c_HOL_Oord__class_Oless @t117 @t163 tptp.tc_nat) @t162))) % 0.77/1.05 (assume @p127 (forall @t322 (or @t321 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t320) @t77) @t2) @t77)))) % 0.77/1.05 (assume @p128 (forall (@list @t197 @t199 @t27 @t1) (= (tptp.c_List_Ofoldr @t197 @t243 @t27 @t199 @t1) @t27))) % 0.77/1.05 (assume @p129 (forall (@list @t197 @t199 @t1) (= @t323 @t128))) % 0.77/1.05 (assume @p130 (forall @t127 (or @t126 @t125 @t124 @t324 @t30))) % 0.77/1.05 (assume @p131 (forall @t230 (or (tptp.c_lessequals @t229 @t228 tptp.tc_nat) @t105))) % 0.77/1.05 (assume @p132 (forall (@list @t103 @t55 @t102) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t103 @t55 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t102 @t55 tptp.tc_nat) tptp.tc_nat) @t105))) % 0.77/1.05 (assume @p133 (forall @t330 (or @t329 @t105 @t326 @t325))) % 0.77/1.05 (assume @p134 (forall @t120 (or @t104 (not @t329) @t326 @t325))) % 0.77/1.05 (assume @p135 (forall @t295 (= (tptp.c_HOL_Ominus__class_Ominus @t102 @t218 tptp.tc_nat) @t117))) % 0.77/1.05 (assume @p136 (forall @t171 (= @t332 (tptp.c_HOL_Ominus__class_Ominus @t53 @t331 tptp.tc_nat)))) % 0.77/1.05 (assume @p137 (forall @t334 (or @t109 (tptp.c_lessequals @t142 @t333 @t1) @t30 @t43))) % 0.77/1.05 (assume @p138 (forall (@list @t1 @t115 @t3 @t2) (or @t279 (not (= (tptp.c_HOL_Ominus__class_Ominus @t115 @t3 @t1) @t335)) (= @t115 @t3)))) % 0.77/1.05 (assume @p139 (forall (@list @t1 @t2 @t337 @t336) (or @t279 (not (= @t335 @t338)) (= @t337 @t336)))) % 0.77/1.05 (assume @p140 (forall @t330 (or (not (= @t328 @t327)) @t326 @t325 @t129))) % 0.77/1.05 (assume @p141 (forall (@list @t66 @t1 @t3 @t2) (or @t340 (not @t339)))) % 0.77/1.05 (assume @p142 (forall @t271 (or @t339 (not @t340)))) % 0.77/1.05 (assume @p143 (forall (@list @t66 @t3 @t2 @t65 @t63 @t1) (or @t237 @t67 @t235))) % 0.77/1.05 (assume @p144 (forall @t330 (= (tptp.c_HOL_Ominus__class_Ominus @t305 @t119 tptp.tc_nat) @t138))) % 0.77/1.05 (assume @p145 (forall @t342 (= (tptp.c_HOL_Ominus__class_Ominus @t341 @t223 tptp.tc_nat) @t138))) % 0.77/1.05 (assume @p146 (forall @t344 (or @t7 @t343 (not (tptp.c_HOL_Oord__class_Oless @t2 @t27 @t1))))) % 0.77/1.05 (assume @p147 (forall @t344 (or @t7 @t343 (not (tptp.c_HOL_Oord__class_Oless @t2 @t31 @t1))))) % 0.77/1.05 (assume @p148 (forall @t19 (or @t7 @t345 (not @t17)))) % 0.77/1.05 (assume @p149 (forall @t19 (or @t7 @t345 @t16))) % 0.77/1.05 (assume @p150 (forall @t26 (or @t7 @t24 @t346))) % 0.77/1.05 (assume @p151 (forall @t179 (or @t7 @t22 @t346))) % 0.77/1.05 (assume @p152 (forall @t41 (or @t347 (= (tptp.c_List_Olistsum @t128 @t1) @t28)))) % 0.77/1.05 (assume @p153 (forall @t141 (tptp.c_lessequals @t138 @t103 tptp.tc_nat))) % 0.77/1.05 (assume @p154 (forall (@list @t348 @t2) (tptp.c_Type_Otyping @t348 @t320 (tptp.hAPP @t348 @t2)))) % 0.77/1.05 (assume @p155 (forall @t37 (or @t36 @t350 @t349 @t273))) % 0.77/1.05 (assume @p156 (forall @t334 (or @t109 @t354 @t353 @t30 @t352))) % 0.77/1.05 (assume @p157 (forall (@list @t2 @t115 @t1 @t133) (= @t357 @t355))) % 0.77/1.05 (assume @p158 (forall (@list @t2 @t63 @t1 @t65) (= (tptp.c_List_Oappend @t111 @t65 @t1) (tptp.c_List_Olist_OCons @t2 @t85 @t1)))) % 0.77/1.05 (assume @p159 (forall (@list @t77 @t155 @t358) (or (tptp.hBOOL (tptp.hAPP @t362 (tptp.hAPP @t360 @t358))) @t359))) % 0.77/1.05 (assume @p160 (forall (@list @t77 @t155 @t76) (or (tptp.hBOOL (tptp.hAPP @t362 (tptp.hAPP @t363 @t155))) @t79))) % 0.77/1.05 (assume @p161 (forall @t330 (or (= (tptp.c_HOL_Ominus__class_Ominus @t328 @t327 tptp.tc_nat) @t138) @t326 @t325))) % 0.77/1.05 (assume @p162 (forall @t171 (= @t332 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t53 @t56 tptp.tc_nat) @t52 tptp.tc_nat)))) % 0.77/1.05 (assume @p163 (forall (@list @t197 @t2 @t115 @t199 @t1) (= (tptp.c_List_Omap @t197 (tptp.c_List_Olist_OCons @t2 @t115 @t199) @t199 @t1) (tptp.c_List_Olist_OCons @t198 (tptp.c_List_Omap @t197 @t115 @t199 @t1) @t1)))) % 0.77/1.05 (assume @p164 (forall (@list @t197 @t115 @t364 @t199 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t197 @t115) (tptp.c_List_Omap @t197 @t364 @t199 @t1) @t1) (tptp.c_List_Omap @t197 (tptp.c_List_Olist_OCons @t115 @t364 @t199) @t199 @t1)))) % 0.77/1.05 (assume @p165 (forall (@list @t197 @t2 @t63 @t199 @t1) (= (tptp.c_List_Omap @t197 @t365 @t199 @t1) (tptp.c_List_Olist_OCons @t198 @t245 @t1)))) % 0.77/1.05 (assume @p166 (forall @t37 (or @t36 @t367 @t366 @t30))) % 0.77/1.05 (assume @p167 (forall @t37 (or @t36 @t367 @t32 @t122))) % 0.77/1.05 (assume @p168 (forall (@list @t27 @t45 @t31) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t27 @t45 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t31 @t45 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t45 @t27 tptp.tc_nat)) @t368))) % 0.77/1.05 (assume @p169 (forall @t205 (or (not (= (tptp.hAPP @t280 @t3) @t281)) @t369))) % 0.77/1.05 (assume @p170 (forall @t330 (or (not (= @t305 @t119)) @t129))) % 0.77/1.05 (assume @p171 (forall @t342 (or (not (= @t341 @t223)) @t129))) % 0.77/1.05 (assume @p172 (forall @t137 (or @t371 @t370 (not (= @t226 @t278)) @t369))) % 0.77/1.05 (assume @p173 (forall @t287 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t373 @t372))) % 0.77/1.05 (assume @p174 (forall @t287 (or @t374 @t373 @t372))) % 0.77/1.05 (assume @p175 (forall @t127 (or @t374 (not (= @t217 @t215)) @t372))) % 0.77/1.05 (assume @p176 (forall (@list @t2 @t115 @t133 @t1) (= @t355 @t357))) % 0.77/1.05 (assume @p177 (forall (@list @t2 @t375 @t133 @t1) (= (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t375 @t133 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t2 @t375 @t1) @t133 @t1)))) % 0.77/1.05 (assume @p178 (forall @t120 (or (tptp.c_lessequals @t103 (tptp.c_HOL_Ominus__class_Ominus @t218 @t56 tptp.tc_nat) tptp.tc_nat) @t326))) % 0.77/1.05 (assume @p179 (forall (@list @t2 @t115 @t1) (not (= @t356 @t128)))) % 0.77/1.05 (assume @p180 (forall (@list @t377 @t376 @t1) (not (= @t378 @t128)))) % 0.77/1.05 (assume @p181 (forall (@list @t248 @t249 @t2 @t3 @t252 @t250 @t247 @t246 @t1) (or (= (tptp.hAPP (tptp.hAPP @t248 @t380) @t252) (tptp.hAPP (tptp.hAPP @t249 @t255) (tptp.hAPP (tptp.hAPP @t248 @t3) @t252))) @t251))) % 0.77/1.05 (assume @p182 (forall (@list @t249 @t2 @t250 @t3 @t14 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t379 @t382) (tptp.hAPP (tptp.hAPP @t250 @t380) (tptp.hAPP @t379 @t14))) @t251))) % 0.77/1.05 (assume @p183 (forall (@list @t249 @t2 @t3 @t250 @t248 @t247 @t246 @t1) (or (= @t380 (tptp.hAPP @t383 @t2)) @t251))) % 0.77/1.05 (assume @p184 (forall (@list @t249 @t2 @t3 @t14 @t250 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t379 (tptp.hAPP @t383 @t14)) (tptp.hAPP (tptp.hAPP @t249 @t380) @t14)) @t251))) % 0.77/1.05 (assume @p185 (forall (@list @t249 @t246 @t2 @t250 @t248 @t247 @t1) (or (= (tptp.hAPP @t384 @t2) @t2) @t251))) % 0.77/1.05 (assume @p186 (forall (@list @t249 @t247 @t2 @t250 @t248 @t246 @t1) (or (= (tptp.hAPP @t385 @t2) @t247) @t251))) % 0.77/1.05 (assume @p187 (forall (@list @t250 @t2 @t3 @t249 @t248 @t247 @t246 @t1) (or (= @t387 (tptp.hAPP @t381 @t2)) @t251))) % 0.77/1.05 (assume @p188 (forall (@list @t250 @t2 @t3 @t14 @t249 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t386 @t382) (tptp.hAPP (tptp.hAPP @t250 @t387) @t14)) @t251))) % 0.77/1.05 (assume @p189 (forall (@list @t250 @t247 @t2 @t249 @t248 @t246 @t1) (or (= (tptp.hAPP @t388 @t2) @t2) @t251))) % 0.77/1.05 (assume @p190 (forall @t395 (or (= @t394 (tptp.hAPP @t391 @t44)) @t251))) % 0.77/1.05 (assume @p191 (forall @t94 (or @t396 @t272 @t275))) % 0.77/1.05 (assume @p192 (forall @t94 (or @t396 @t274 @t273))) % 0.77/1.05 (assume @p193 (forall (@list @t1 @t27 @t31 @t102) (or @t109 @t351 @t32 (not @t354)))) % 0.77/1.05 (assume @p194 (forall @t179 (or @t7 @t173 @t397))) % 0.77/1.05 (assume @p195 (forall @t26 (or @t7 @t172 @t397))) % 0.77/1.05 (assume @p196 (forall @t19 (or @t7 @t240 @t398))) % 0.77/1.05 (assume @p197 (forall @t19 (or @t7 @t240 @t177))) % 0.77/1.05 (assume @p198 (forall @t344 (or @t7 @t399 (not (tptp.c_lessequals @t2 @t31 @t1))))) % 0.77/1.05 (assume @p199 (forall @t344 (or @t7 @t399 (not (tptp.c_lessequals @t2 @t27 @t1))))) % 0.77/1.05 (assume @p200 (forall (@list @t1 @t31 @t2 @t27) (or @t7 @t181 @t400))) % 0.77/1.05 (assume @p201 (forall (@list @t1 @t27 @t2 @t31) (or @t7 @t180 @t400))) % 0.77/1.05 (assume @p202 (forall @t403 (or @t402 (not @t401)))) % 0.77/1.05 (assume @p203 (forall @t404 (or @t401 (not @t402)))) % 0.77/1.05 (assume @p204 (forall @t143 (or @t109 (tptp.c_HOL_Oord__class_Oless @t28 @t142 @t1) @t122))) % 0.77/1.05 (assume @p205 (forall @t242 (or @t7 @t15 @t17 (not @t345)))) % 0.77/1.05 (assume @p206 (forall (@list @t239 @t2 @t238 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t239 @t2 @t238 @t1) @t2) @t238))) % 0.77/1.05 (assume @p207 (forall @t84 (or (= (tptp.c_Lambda_Osubstn @t83 @t77 @t56) @t83) @t82 @t81))) % 0.77/1.05 (assume @p208 (forall @t407 (or @t406 @t405))) % 0.77/1.05 (assume @p209 (forall @t407 (or @t406 @t408))) % 0.77/1.05 (assume @p210 (forall (@list @t95 @t267) (or (not (= @t98 @t268)) (= @t95 @t267)))) % 0.77/1.05 (assume @p211 (forall @t410 (or @t409 @t405))) % 0.77/1.05 (assume @p212 (forall @t410 (or @t409 @t408))) % 0.77/1.05 (assume @p213 (forall @t41 (= (tptp.c_Predicate_Oconversep @t411 @t1 @t1) @t411))) % 0.77/1.05 (assume @p214 (forall @t37 (or @t36 @t350 @t349 @t413))) % 0.77/1.05 (assume @p215 (forall @t37 (or @t36 @t350 @t414 @t273))) % 0.77/1.05 (assume @p216 (forall @t311 (= (tptp.c_Lambda_OdB_OdB__rec @t100 @t99 @t96 @t270 @t1) @t310))) % 0.77/1.05 (assume @p217 (forall @t171 (or (= @t416 @t415) @t166))) % 0.77/1.05 (assume @p218 (forall @t403 (or (= @t419 @t417) @t166))) % 0.77/1.05 (assume @p219 (forall @t171 (or (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t167 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t61 @t52 tptp.tc_nat)) @t166))) % 0.77/1.05 (assume @p220 (forall (@list @t52 @t102 @t56) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t52 @t102 tptp.tc_nat) @t56 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t52 @t56 tptp.tc_nat))))) % 0.77/1.05 (assume @p221 (forall @t194 (= @t128 @t420))) % 0.77/1.05 (assume @p222 (forall @t8 (or @t25 @t20 @t4 @t11))) % 0.77/1.05 (assume @p223 (forall @t421 (not @t321))) % 0.77/1.05 (assume @p224 (forall @t422 (not (tptp.c_HOL_Oord__class_Oless @t102 @t102 tptp.tc_nat)))) % 0.77/1.05 (assume @p225 (forall @t194 (or @t18 @t317))) % 0.77/1.05 (assume @p226 (forall @t194 (or @t7 @t317))) % 0.77/1.05 (assume @p227 (forall @t194 (or @t25 @t317))) % 0.77/1.05 (assume @p228 (forall @t424 (or (not (tptp.c_lessequals @t53 @t423 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t423 @t53 tptp.tc_nat) @t56)))) % 0.77/1.05 (assume @p229 (forall @t426 (or (= @t425 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t60 @t102))) @t207))) % 0.77/1.05 (assume @p230 (forall @t430 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t429) @t428)) @t256))) % 0.77/1.05 (assume @p231 (forall @t37 (or @t36 @t367 @t366 @t122))) % 0.77/1.05 (assume @p232 (forall @t295 (tptp.c_lessequals @t102 @t218 tptp.tc_nat))) % 0.77/1.05 (assume @p233 (forall @t295 (tptp.c_lessequals @t102 @t219 tptp.tc_nat))) % 0.77/1.05 (assume @p234 (forall (@list @t103 @t2) (tptp.c_lessequals @t103 (tptp.hAPP @t211 @t2) tptp.tc_nat))) % 0.77/1.05 (assume @p235 (forall @t431 (or @t67 @t113 @t112))) % 0.77/1.05 (assume @p236 (forall @t295 (= (tptp.hAPP (tptp.hAPP @t57 @t432) @t103) (tptp.c_Orderings_Oord__class_Omax @t102 @t103 tptp.tc_nat)))) % 0.77/1.05 (assume @p237 (forall (@list @t433 @t27 @t31 @t45 @t1) (or (= (tptp.hAPP (tptp.hAPP @t433 (tptp.hAPP @t435 @t31)) @t45) (tptp.hAPP @t435 (tptp.hAPP (tptp.hAPP @t433 @t31) @t45))) @t434))) % 0.77/1.05 (assume @p238 (forall @t437 (or @t347 (= (tptp.c_List_Olistsum @t111 @t1) (tptp.hAPP @t225 @t436))))) % 0.77/1.05 (assume @p239 (forall (@list @t197 @t63 @t65 @t199 @t1) (= (tptp.c_List_Omap @t197 @t231 @t199 @t1) (tptp.c_List_Oappend @t245 (tptp.c_List_Omap @t197 @t65 @t199 @t1) @t1)))) % 0.77/1.05 (assume @p240 (forall @t184 (or @t396 @t12 @t20 @t114))) % 0.77/1.05 (assume @p241 (forall @t8 (or @t7 @t114 @t12 @t20))) % 0.77/1.05 (assume @p242 (forall @t141 (or @t129 @t439 @t105))) % 0.77/1.05 (assume @p243 (forall @t295 (or @t440 @t220 @t129))) % 0.77/1.05 (assume @p244 (forall (@list @t71 @t102 @t103) (or (tptp.hBOOL (tptp.hAPP @t164 @t103)) @t440 @t129 @t220))) % 0.77/1.05 (assume @p245 (forall (@list @t3 @t2) (or (tptp.c_HOL_Oord__class_Oless @t3 @t2 tptp.tc_nat) @t200 @t114))) % 0.77/1.05 (assume @p246 (forall @t8 (or @t18 @t114 @t5 @t11))) % 0.77/1.05 (assume @p247 (forall @t184 (or @t7 @t12 @t20 @t114))) % 0.77/1.05 (assume @p248 (forall @t8 (or @t18 @t114 @t11 @t5))) % 0.77/1.05 (assume @p249 (forall (@list @t102 @t2 @t1 @t56) (= (tptp.c_List_Oappend @t441 @t442 @t1) (tptp.c_List_Oappend @t442 @t441 @t1)))) % 0.77/1.05 (assume @p250 (forall @t184 (or @t7 @t12 @t114 @t20))) % 0.77/1.05 (assume @p251 (forall @t8 (or @t7 @t114 @t20 @t12))) % 0.77/1.05 (assume @p252 (forall @t37 (or @t312 @t42 (not @t443)))) % 0.77/1.05 (assume @p253 (forall @t37 (or @t312 @t443 @t43))) % 0.77/1.05 (assume @p254 (forall @t194 (or @t7 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t2 @t1) @t2)))) % 0.77/1.05 (assume @p255 (forall @t51 (or @t446 @t445 @t444 @t352))) % 0.77/1.05 (assume @p256 (forall @t62 (or (tptp.c_HOL_Oord__class_Oless @t61 @t59 tptp.tc_nat) @t221 @t208))) % 0.77/1.05 (assume @p257 (forall (@list @t2 @t3) (or @t309 @t201))) % 0.77/1.05 (assume @p258 (forall @t141 (or @t104 @t227))) % 0.77/1.05 (assume @p259 (forall @t8 (or @t18 @t9 @t21))) % 0.77/1.05 (assume @p260 (forall @t8 (or @t25 @t9 @t21))) % 0.77/1.05 (assume @p261 (forall (@list @t1 @t377 @t376) (not (= @t128 @t378)))) % 0.77/1.05 (assume @p262 (forall (@list @t53 @t155) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t83) @t155))))) % 0.77/1.05 (assume @p263 (forall @t37 (or @t312 @t351 (not @t447)))) % 0.77/1.05 (assume @p264 (forall @t37 (or @t312 @t447 @t352))) % 0.77/1.05 (assume @p265 (forall @t110 (or @t109 @t448 @t227))) % 0.77/1.05 (assume @p266 (forall @t110 (or @t109 @t220 (not @t448)))) % 0.77/1.05 (assume @p267 (forall @t450 (or @t126 @t449 @t43))) % 0.77/1.05 (assume @p268 (forall @t287 (or @t126 @t42 (not @t449)))) % 0.77/1.05 (assume @p269 (forall @t453 (or @t126 @t452 @t43))) % 0.77/1.05 (assume @p270 (forall @t287 (or @t126 @t42 (not @t452)))) % 0.77/1.05 (assume @p271 (forall @t450 (or @t50 @t449 @t43))) % 0.77/1.05 (assume @p272 (forall @t453 (or @t50 @t452 @t43))) % 0.77/1.05 (assume @p273 (forall @t170 (or (tptp.c_lessequals @t61 @t331 tptp.tc_nat) @t54))) % 0.77/1.05 (assume @p274 (forall @t120 (or @t104 (not @t454)))) % 0.77/1.05 (assume @p275 (forall @t342 (or @t454 @t105))) % 0.77/1.05 (assume @p276 (forall @t455 (or @t54 (= @t52 (tptp.hAPP (tptp.hAPP @t57 (tptp.c_HOL_Ominus__class_Ominus @t52 @t53 tptp.tc_nat)) @t53))))) % 0.77/1.05 (assume @p277 (forall @t295 (or @t456 @t439))) % 0.77/1.05 (assume @p278 (forall @t141 (or (= (tptp.hAPP (tptp.hAPP @t57 @t138) @t102) @t103) @t439))) % 0.77/1.05 (assume @p279 (forall @t458 (or @t347 (= @t436 @t457)))) % 0.77/1.05 (assume @p280 (forall @t171 (or (= @t415 @t416) @t166))) % 0.77/1.05 (assume @p281 (forall @t404 (or (= @t417 @t419) @t166))) % 0.77/1.05 (assume @p282 (forall (@list @t102 @t103 @t63 @t1) (= (tptp.c_List_Odrop @t102 (tptp.c_List_Odrop @t103 @t63 @t1) @t1) (tptp.c_List_Odrop @t218 @t63 @t1)))) % 0.77/1.05 (assume @p283 (forall (@list @t102 @t103 @t2 @t1) (= (tptp.c_List_Oreplicate @t218 @t2 @t1) (tptp.c_List_Oappend @t441 @t130 @t1)))) % 0.77/1.05 (assume @p284 (forall @t460 (or @t109 @t459 @t353))) % 0.77/1.05 (assume @p285 (forall @t460 (or @t109 @t294 (not @t459)))) % 0.77/1.05 (assume @p286 (forall (@list @t65 @t63 @t3 @t2 @t66 @t1) (or @t461 @t236 @t235))) % 0.77/1.05 (assume @p287 (forall (@list @t155 @t462 @t53) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t465) @t53) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t464 (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t53 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.05 (assume @p288 (forall (@list @t102 @t2 @t1) (or (not (= @t441 @t128)) @t466))) % 0.77/1.05 (assume @p289 (forall (@list @t86 @t63 @t65 @t1) (or @t87 (not @t90) (not @t89)))) % 0.77/1.05 (assume @p290 (forall (@list @t250 @t27 @t45 @t249 @t248 @t247 @t246 @t1) (or (= @t390 (tptp.hAPP @t392 @t27)) @t251))) % 0.77/1.05 (assume @p291 (forall @t470 (or (= @t469 (tptp.hAPP @t391 @t31)) @t251))) % 0.77/1.05 (assume @p292 (forall @t395 (or (= @t394 (tptp.hAPP @t392 (tptp.hAPP @t389 @t44))) @t251))) % 0.77/1.05 (assume @p293 (forall @t470 (or (= @t469 (tptp.hAPP @t389 (tptp.hAPP @t471 @t45))) @t251))) % 0.77/1.05 (assume @p294 (forall (@list @t250 @t27 @t31 @t45 @t44 @t249 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t468 @t393) (tptp.hAPP @t391 (tptp.hAPP @t471 @t44))) @t251))) % 0.77/1.05 (assume @p295 (forall @t479 (or (= @t478 (tptp.hAPP @t476 (tptp.hAPP @t474 @t472))) @t251))) % 0.77/1.05 (assume @p296 (forall @t479 (or (= @t478 (tptp.hAPP @t480 @t472)) @t251))) % 0.77/1.05 (assume @p297 (forall @t485 (or (= @t484 (tptp.hAPP @t474 (tptp.hAPP @t482 @t475))) @t251))) % 0.77/1.05 (assume @p298 (forall @t485 (or (= @t484 (tptp.hAPP @t480 @t481)) @t251))) % 0.77/1.05 (assume @p299 (forall @t487 (or (= @t486 (tptp.hAPP @t476 (tptp.hAPP @t483 @t472))) @t251))) % 0.77/1.05 (assume @p300 (forall @t487 (or (= @t486 (tptp.hAPP @t474 (tptp.hAPP @t482 @t477))) @t251))) % 0.77/1.05 (assume @p301 (forall @t487 (or (= @t486 (tptp.hAPP @t480 (tptp.hAPP @t482 @t472))) @t251))) % 0.77/1.05 (assume @p302 (forall (@list @t249 @t27 @t246 @t250 @t248 @t247 @t1) (or (= (tptp.hAPP @t488 @t246) @t27) @t251))) % 0.77/1.05 (assume @p303 (forall (@list @t249 @t246 @t27 @t250 @t248 @t247 @t1) (or (= (tptp.hAPP @t384 @t27) @t27) @t251))) % 0.77/1.05 (assume @p304 (forall (@list @t249 @t27 @t247 @t250 @t248 @t246 @t1) (or (= (tptp.hAPP @t488 @t247) @t247) @t251))) % 0.77/1.05 (assume @p305 (forall (@list @t249 @t247 @t27 @t250 @t248 @t246 @t1) (or (= (tptp.hAPP @t385 @t27) @t247) @t251))) % 0.77/1.05 (assume @p306 (forall (@list @t249 @t250 @t27 @t31 @t45 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t490 @t45) (tptp.hAPP (tptp.hAPP @t250 (tptp.hAPP @t488 @t45)) (tptp.hAPP @t489 @t45))) @t251))) % 0.77/1.05 (assume @p307 (forall (@list @t249 @t27 @t31 @t250 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t488 @t31) (tptp.hAPP @t489 @t27)) @t251))) % 0.77/1.05 (assume @p308 (forall (@list @t250 @t27 @t247 @t249 @t248 @t246 @t1) (or (= (tptp.hAPP @t389 @t247) @t27) @t251))) % 0.77/1.05 (assume @p309 (forall (@list @t250 @t247 @t27 @t249 @t248 @t246 @t1) (or (= (tptp.hAPP @t388 @t27) @t27) @t251))) % 0.77/1.05 (assume @p310 (forall (@list @t250 @t103 @t249 @t246 @t248 @t247 @t1) (or (= (tptp.hAPP @t491 @t103) (tptp.hAPP (tptp.hAPP @t249 (tptp.hAPP (tptp.hAPP @t250 @t246) @t246)) @t103)) @t251))) % 0.77/1.05 (assume @p311 (forall (@list @t250 @t103 @t249 @t27 @t246 @t248 @t247 @t1) (or (= (tptp.hAPP @t491 @t493) @t492) @t251))) % 0.77/1.05 (assume @p312 (forall (@list @t250 @t249 @t27 @t103 @t246 @t248 @t247 @t1) (or (= (tptp.hAPP @t494 @t103) @t492) @t251))) % 0.77/1.05 (assume @p313 (forall (@list @t250 @t249 @t27 @t103 @t31 @t248 @t247 @t246 @t1) (or (= (tptp.hAPP @t494 (tptp.hAPP @t489 @t103)) (tptp.hAPP @t490 @t103)) @t251))) % 0.77/1.05 (assume @p314 (forall (@list @t2 @t3 @t66 @t65 @t1 @t63) (or @t114 @t237 @t112))) % 0.77/1.05 (assume @p315 (forall (@list @t1 @t27 @t31 @t45 @t44) (or @t216 (= (tptp.hAPP @t284 @t289) (tptp.hAPP @t288 @t48))))) % 0.77/1.05 (assume @p316 (forall (@list @t77 @t155 @t76 @t358) (or (tptp.hBOOL (tptp.hAPP @t362 (tptp.hAPP @t363 @t358))) @t359 @t79))) % 0.77/1.05 (assume @p317 (forall @t495 (or @t109 (not (tptp.c_HOL_Oord__class_Oless @t107 @t28 @t1))))) % 0.77/1.05 (assume @p318 (forall @t8 (or @t7 (= @t6 (tptp.c_Orderings_Oord__class_Omax @t3 @t2 @t1))))) % 0.77/1.05 (assume @p319 (forall @t334 (or @t109 (not (= @t142 @t333)) @t496 @t353 @t32 @t30))) % 0.77/1.05 (assume @p320 (forall @t426 (or (= @t425 @t83) @t497))) % 0.77/1.05 (assume @p321 (forall (@list @t53 @t56 @t2 @t1) (= (tptp.c_List_Odrop @t53 @t442 @t1) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t56 @t53 tptp.tc_nat) @t2 @t1)))) % 0.77/1.05 (assume @p322 (forall @t500 (or @t499 @t498 @t359))) % 0.77/1.05 (assume @p323 (forall @t187 (= @t420 @t128))) % 0.77/1.05 (assume @p324 (forall (@list @t102 @t53) (or (= (tptp.c_HOL_Ominus__class_Ominus @t102 (tptp.c_HOL_Ominus__class_Ominus @t102 @t53 tptp.tc_nat) tptp.tc_nat) @t53) (not (tptp.c_lessequals @t53 @t102 tptp.tc_nat))))) % 0.77/1.05 (assume @p325 (forall @t424 (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t83) @t56) @t83) @t497))) % 0.77/1.05 (assume @p326 (forall @t430 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t429) @t428)) @t189))) % 0.77/1.05 (assume @p327 (forall (@list @t2 @t155 @t1) (not (= (tptp.c_List_Olist_OCons @t2 @t155 @t1) @t155)))) % 0.77/1.05 (assume @p328 (forall (@list @t63 @t2 @t1) (not (= @t63 @t111)))) % 0.77/1.05 (assume @p329 (forall @t322 (or @t321 (= (tptp.c_Lambda_Osubstn @t320 @t77 @t2) (tptp.c_Lambda_Oliftn @t2 @t77 @t117))))) % 0.77/1.05 (assume @p330 (forall @t303 (= @t111 @t501))) % 0.77/1.05 (assume @p331 (forall @t137 (or @t126 (= (tptp.hAPP (tptp.hAPP @t33 @t6) @t14) (tptp.c_Orderings_Oord__class_Omax @t278 @t276 @t1))))) % 0.77/1.05 (assume @p332 (forall (@list @t503 @t304 @t504 @t53 @t155 @t238) (or (not (tptp.c_Type_Otyping @t503 @t304 @t504)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t503 @t53 @t504 tptp.tc_Type_Otype) @t155 @t238)) (tptp.c_Type_Otyping @t503 @t502 @t238)))) % 0.77/1.05 (assume @p333 (forall (@list @t1 @t197 @t199) (= @t128 @t323))) % 0.77/1.05 (assume @p334 (forall (@list @t65 @t63 @t66 @t1 @t3 @t2) (or @t461 @t67 @t235))) % 0.77/1.05 (assume @p335 (forall @t137 (or @t7 (= (tptp.c_Orderings_Oord__class_Omax @t6 @t14 @t1) @t505)))) % 0.77/1.05 (assume @p336 (forall @t137 (or @t7 (= @t505 (tptp.c_Orderings_Oord__class_Omax @t3 (tptp.c_Orderings_Oord__class_Omax @t2 @t14 @t1) @t1))))) % 0.77/1.05 (assume @p337 (forall @t41 (= @t128 @t506))) % 0.77/1.05 (assume @p338 (forall @t460 (or @t109 (tptp.c_lessequals @t28 @t106 @t1)))) % 0.77/1.05 (assume @p339 (forall @t495 (or @t109 (tptp.c_lessequals @t28 @t107 @t1)))) % 0.77/1.05 (assume @p340 (forall (@list @t66 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t144 @t1) @t144))) % 0.77/1.05 (assume @p341 (forall @t508 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t80) (tptp.c_Lambda_OdB_OAbs @t155))) @t507))) % 0.77/1.05 (assume @p342 (forall @t8 (or @t7 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t6 @t1) @t6)))) % 0.77/1.05 (assume @p343 (forall (@list @t53 @t2 @t1) (= (tptp.c_List_Oappend @t509 @t232 @t1) (tptp.c_List_Olist_OCons @t2 @t509 @t1)))) % 0.77/1.05 (assume @p344 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t219 @t102 tptp.tc_nat) @t103))) % 0.77/1.05 (assume @p345 (forall @t295 (= (tptp.c_HOL_Ominus__class_Ominus @t218 @t102 tptp.tc_nat) @t103))) % 0.77/1.05 (assume @p346 (forall @t37 (or @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t31 @t1) @t27)))) % 0.77/1.05 (assume @p347 (forall (@list @t433 @t27 @t510 @t1) (or (= (tptp.hAPP @t435 @t510) @t27) @t511))) % 0.77/1.05 (assume @p348 (forall (@list @t433 @t510 @t27 @t1) (or (= (tptp.hAPP (tptp.hAPP @t433 @t510) @t27) @t27) @t511))) % 0.77/1.05 (assume @p349 (forall @t51 (or @t446 @t445 @t444 @t43))) % 0.77/1.05 (assume @p350 (forall @t51 (or @t446 @t445 @t46 @t352))) % 0.77/1.05 (assume @p351 (forall @t141 (or @t292 @t353))) % 0.77/1.05 (assume @p352 (forall @t141 (or @t292 @t512))) % 0.77/1.05 (assume @p353 (forall @t94 (or @t93 @t121 (not @t513)))) % 0.77/1.05 (assume @p354 (forall @t94 (or @t93 @t513 @t122))) % 0.77/1.05 (assume @p355 (forall @t143 (or @t519 @t518 @t517 @t516 @t515 @t514))) % 0.77/1.05 (assume @p356 (forall @t143 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t515 @t514))) % 0.77/1.05 (assume @p357 (forall @t94 (or @t93 (not (= @t91 @t28)) @t514))) % 0.77/1.05 (assume @p358 (forall @t194 (or @t371 @t370 @t520))) % 0.77/1.05 (assume @p359 (forall @t94 (or @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t27 @t1) @t28)))) % 0.77/1.05 (assume @p360 (forall @t94 (or @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t28 @t1) @t27)))) % 0.77/1.05 (assume @p361 (forall @t194 (or @t75 @t520))) % 0.77/1.05 (assume @p362 (forall @t194 (or @t279 @t520))) % 0.77/1.05 (assume @p363 (forall (@list @t1 @t2 @t27) (or @t371 @t370 (not (= @t2 (tptp.hAPP @t225 @t27))) @t514))) % 0.77/1.05 (assume @p364 (forall @t41 (or @t93 @t39))) % 0.77/1.05 (assume @p365 (forall @t8 (or @t371 @t370 (not (= @t521 @t28)) @t114))) % 0.77/1.05 (assume @p366 (forall @t37 (or @t75 @t522 @t496))) % 0.77/1.05 (assume @p367 (forall @t37 (or @t279 @t522 @t496))) % 0.77/1.05 (assume @p368 (forall @t194 (or @t216 (= (tptp.hAPP @t38 @t2) @t2)))) % 0.77/1.05 (assume @p369 (forall @t94 (or @t125 @t523))) % 0.77/1.05 (assume @p370 (forall @t194 (or @t371 @t370 (= @t2 (tptp.hAPP @t225 @t28))))) % 0.77/1.05 (assume @p371 (forall @t94 (or @t125 @t524))) % 0.77/1.05 (assume @p372 (forall @t94 (or @t347 @t523))) % 0.77/1.05 (assume @p373 (forall @t94 (or @t347 @t524))) % 0.77/1.05 (assume @p374 (forall @t94 (or @t216 @t524))) % 0.77/1.05 (assume @p375 (forall @t94 (or @t216 @t523))) % 0.77/1.05 (assume @p376 (tptp.c_lessequals @t117 @t117 tptp.tc_nat)) % 0.77/1.05 (assume @p377 (not (tptp.c_HOL_Oord__class_Oless @t117 @t117 tptp.tc_nat))) % 0.77/1.05 (assume @p378 (forall (@list @t155 @t56) (= (tptp.c_Lambda_Oliftn @t117 @t155 @t56) @t155))) % 0.77/1.05 (assume @p379 (forall @t422 (or @t294 @t466))) % 0.77/1.05 (assume @p380 (forall @t295 (or (not (= @t432 @t117)) @t140 @t129))) % 0.77/1.05 (assume @p381 (forall @t422 (or @t466 (not (tptp.c_lessequals @t102 @t117 tptp.tc_nat))))) % 0.77/1.05 (assume @p382 (forall @t141 (or @t525 @t466))) % 0.77/1.05 (assume @p383 (forall @t141 (or @t525 @t526))) % 0.77/1.05 (assume @p384 (forall (@list @t2 @t197 @t1) (= (tptp.c_Nat_Onat_Onat__case @t2 @t197 @t117 @t1) @t2))) % 0.77/1.05 (assume @p385 (forall (@list @t100 @t99 @t1) (= (tptp.c_Nat_Onat_Onat__case @t100 @t99 @t117 @t1) @t100))) % 0.77/1.05 (assume @p386 (forall @t527 (= (tptp.c_HOL_Ominus__class_Ominus @t103 @t117 tptp.tc_nat) @t103))) % 0.77/1.05 (assume @p387 (forall @t527 (= (tptp.c_HOL_Ominus__class_Ominus @t103 @t103 tptp.tc_nat) @t117))) % 0.77/1.05 (assume @p388 (forall (@list @t2 @t27) (or (not (= @t2 (tptp.hAPP @t280 @t27))) (= @t27 @t117)))) % 0.77/1.05 (assume @p389 (forall @t141 (or (not (= @t219 @t103)) @t466))) % 0.77/1.05 (assume @p390 (forall @t101 (= (tptp.c_Lambda_OdB_OdB__rec @t100 @t99 @t96 @t98 @t1) (tptp.hAPP @t97 (tptp.c_Lambda_OdB_OdB__rec @t100 @t99 @t96 @t95 @t1))))) % 0.77/1.05 (assume @p391 (forall @t41 (or @t528 (tptp.c_OrderedGroup_Osemigroup__add @t33 @t1)))) % 0.77/1.05 (assume @p392 (forall (@list @t239 @t53 @t238 @t1 @t52) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t239 @t53 @t238 @t1) @t52) (tptp.hAPP @t239 @t52)) @t529))) % 0.77/1.05 (assume @p393 (forall (@list @t1 @t102 @t2) (or (not (= @t128 @t441)) @t466))) % 0.77/1.05 (assume @p394 (forall @t120 (or @t220 (not @t530) @t326 @t325))) % 0.77/1.05 (assume @p395 (forall @t330 (or @t530 @t227 @t326 @t325))) % 0.77/1.05 (assume @p396 (forall @t127 (or @t109 @t124 @t324 @t122))) % 0.77/1.05 (assume @p397 (forall (@list @t52 @t304 @t53) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t531) @t304) @t53) @t531) @t529))) % 0.77/1.05 (assume @p398 (forall (@list @t197 @t2 @t63 @t199 @t27 @t1) (= (tptp.c_List_Ofoldr @t197 @t365 @t27 @t199 @t1) (tptp.hAPP @t198 (tptp.c_List_Ofoldr @t197 @t63 @t27 @t199 @t1))))) % 0.77/1.05 (assume @p399 (forall (@list @t71 @t100 @t99 @t96 @t95) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 @t98 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 @t97))))) % 0.77/1.05 (assume @p400 (forall (@list @t71 @t100 @t99 @t96 @t115) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 (tptp.c_Lambda_OdB_OAbs @t115) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 (tptp.hAPP @t96 @t115)))))) % 0.77/1.05 (assume @p401 (forall (@list @t66 @t1 @t199) (= (tptp.c_Predicate_Oconversep @t297 @t199 @t1) @t66))) % 0.77/1.05 (assume @p402 (forall @t94 (or @t93 @t532 @t413))) % 0.77/1.05 (assume @p403 (forall @t94 (or @t93 @t412 (not @t532)))) % 0.77/1.05 (assume @p404 (forall @t455 (not (tptp.c_HOL_Oord__class_Oless @t206 @t53 tptp.tc_nat)))) % 0.77/1.05 (assume @p405 (forall (@list @t52 @t53) (not (tptp.c_HOL_Oord__class_Oless @t418 @t53 tptp.tc_nat)))) % 0.77/1.05 (assume @p406 (forall @t110 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t138 @t1) (tptp.c_HOL_Ominus__class_Ominus @t107 @t106 @t1)) @t439))) % 0.77/1.05 (assume @p407 (forall @t410 (or (not (= @t85 @t63)) @t408))) % 0.77/1.05 (assume @p408 (forall @t410 (or (not (= @t63 @t85)) @t408))) % 0.77/1.05 (assume @p409 (forall @t410 (or (not (= @t85 @t65)) @t405))) % 0.77/1.05 (assume @p410 (forall (@list @t65 @t63 @t1) (or (not (= @t65 @t85)) @t405))) % 0.77/1.05 (assume @p411 (forall @t437 (= @t501 @t111))) % 0.77/1.05 (assume @p412 (forall @t170 (or @t534 (not @t533)))) % 0.77/1.05 (assume @p413 (forall @t171 (or @t533 (not @t534)))) % 0.77/1.05 (assume @p414 (forall @t450 (or @t446 @t535 @t352))) % 0.77/1.05 (assume @p415 (forall @t450 (or @t126 @t535 @t352))) % 0.77/1.05 (assume @p416 (forall @t287 (or @t126 @t351 (not @t535)))) % 0.77/1.05 (assume @p417 (forall @t453 (or @t446 @t536 @t352))) % 0.77/1.05 (assume @p418 (forall @t453 (or @t126 @t536 @t352))) % 0.77/1.05 (assume @p419 (forall @t287 (or @t126 @t351 (not @t536)))) % 0.77/1.05 (assume @p420 (forall @t170 (or (tptp.c_HOL_Oord__class_Oless @t61 @t331 tptp.tc_nat) @t208))) % 0.77/1.05 (assume @p421 (forall @t120 (or @t220 (not @t537)))) % 0.77/1.05 (assume @p422 (forall @t342 (or @t537 @t227))) % 0.77/1.05 (assume @p423 (forall @t19 (or @t18 @t176 @t398 @t5))) % 0.77/1.05 (assume @p424 (forall @t19 (or @t18 @t17 @t398 @t13))) % 0.77/1.05 (assume @p425 (forall @t19 (or @t18 @t17 @t16 @t5))) % 0.77/1.05 (assume @p426 (forall @t37 (or @t36 (tptp.c_lessequals @t35 @t28 @t1) @t414 @t413))) % 0.77/1.05 (assume @p427 (forall @t26 (or @t25 @t172 @t174 @t11))) % 0.77/1.05 (assume @p428 (forall @t422 (tptp.c_lessequals @t102 @t102 tptp.tc_nat))) % 0.77/1.05 (assume @p429 (forall @t170 (or (tptp.c_lessequals @t53 @t56 tptp.tc_nat) (not (tptp.c_lessequals @t52 @t56 tptp.tc_nat)) @t54))) % 0.77/1.05 (assume @p430 (forall @t421 (tptp.c_lessequals @t2 @t2 tptp.tc_nat))) % 0.77/1.05 (assume @p431 (forall @t194 (or @t18 @t318))) % 0.77/1.05 (assume @p432 (forall @t194 (or @t25 @t318))) % 0.77/1.05 (assume @p433 (forall @t26 (or @t25 @t24 @t23 @t11))) % 0.77/1.05 (assume @p434 (forall @t26 (or @t25 @t24 @t174 @t21))) % 0.77/1.05 (assume @p435 (forall (@list @t1 @t27 @t31 @t44 @t45) (or @t312 (tptp.c_lessequals @t27 @t48 @t1) @t46 (not (tptp.c_lessequals @t27 @t282 @t1))))) % 0.77/1.05 (assume @p436 (forall @t540 (or @t539 (= @t27 @t377)))) % 0.77/1.05 (assume @p437 (forall @t540 (or @t539 (= @t538 @t376)))) % 0.77/1.05 (assume @p438 (forall @t500 (or @t499 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t155) @t358))) @t498))) % 0.77/1.05 (assume @p439 (forall @t431 (or @t67 @t237 @t112))) % 0.77/1.05 (assume @p440 (forall (@list @t66 @t2 @t65 @t1 @t63) (or (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Olist_OCons @t2 @t65 @t1) @t111 @t1) @t68))) % 0.77/1.05 (assume @p441 (forall (@list @t71 @t27 @t31) (or @t161 @t368 (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_HOL_Ominus__class_Ominus @t27 @t31 tptp.tc_nat))))))) % 0.77/1.05 (assume @p442 (forall (@list @t71 @t100 @t99 @t96 @t269) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 @t270 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 @t310))))) % 0.77/1.05 (assume @p443 (forall (@list @t71 @t100 @t99 @t96 @t541) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 (tptp.c_Lambda_OdB_OVar @t541) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 (tptp.hAPP @t100 @t541)))))) % 0.77/1.05 (assume @p444 (forall (@list @t269 @t542) (or (not (= @t270 (tptp.c_Lambda_OdB_OVar @t542))) (= @t269 @t542)))) % 0.77/1.05 (assume @p445 (forall (@list @t267 @t269) (not (= @t268 @t270)))) % 0.77/1.05 (assume @p446 (forall (@list @t102 @t2 @t1 @t63) (= (tptp.c_List_Oappend @t441 @t111 @t1) (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t441 @t63 @t1) @t1)))) % 0.77/1.05 (assume @p447 (forall @t141 (or @t220 (not @t543)))) % 0.77/1.05 (assume @p448 (forall @t295 (or @t543 @t227))) % 0.77/1.05 (assume @p449 (forall (@list @t102 @t197 @t63 @t199 @t1) (= (tptp.c_List_Odrop @t102 @t245 @t1) (tptp.c_List_Omap @t197 (tptp.c_List_Odrop @t102 @t63 @t199) @t199 @t1)))) % 0.77/1.05 (assume @p450 (forall @t110 (or @t544 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t219 @t1) (tptp.hAPP (tptp.hAPP @t33 @t107) @t106))))) % 0.77/1.05 (assume @p451 (forall @t141 (or (tptp.c_HOL_Oord__class_Oless @t138 @t103 tptp.tc_nat) @t512 @t353))) % 0.77/1.05 (assume @p452 (forall @t547 (or @t312 @t546 @t545 @t5))) % 0.77/1.05 (assume @p453 (forall @t547 (or @t312 @t546 @t4 (not @t545)))) % 0.77/1.05 (assume @p454 (forall @t547 (or @t312 @t546 @t548 @t21))) % 0.77/1.05 (assume @p455 (forall @t547 (or @t312 @t546 @t20 (not @t548)))) % 0.77/1.05 (assume @p456 (forall (@list @t197 @t63 @t199 @t1) (or (not (= @t245 @t128)) @t244))) % 0.77/1.05 (assume @p457 (forall @t407 (or @t347 (= (tptp.c_List_Olistsum @t85 @t1) (tptp.hAPP (tptp.hAPP @t33 @t436) (tptp.c_List_Olistsum @t65 @t1)))))) % 0.77/1.05 (assume @p458 (forall @t295 (or @t456 @t220))) % 0.77/1.05 (assume @p459 (forall @t550 (or @t549 @t113))) % 0.77/1.05 (assume @p460 (forall @t550 (or @t549 @t114))) % 0.77/1.05 (assume @p461 @t551) % 0.77/1.05 (assume @p462 (forall @t553 (or @t18 @t552 @t496 @t196))) % 0.77/1.05 (assume @p463 (forall @t553 (or @t18 @t552 @t196 @t496))) % 0.77/1.05 (assume @p464 (forall @t141 (or @t220 @t129 @t105))) % 0.77/1.05 (assume @p465 (forall @t141 (or @t129 @t220 @t105))) % 0.77/1.05 (assume @p466 (forall @t8 (or @t18 @t114 @t20 @t11))) % 0.77/1.05 (assume @p467 (forall @t8 (or @t18 @t20 @t114 @t11))) % 0.77/1.05 (assume @p468 (forall @t37 (or @t18 @t351 @t496 @t43))) % 0.77/1.05 (assume @p469 (forall @t37 (or @t18 @t351 @t43 @t496))) % 0.77/1.05 (assume @p470 (forall @t8 (or @t7 @t114 @t11 @t20))) % 0.77/1.05 (assume @p471 (forall @t8 (or @t7 @t114 @t20 @t11))) % 0.77/1.05 (assume @p472 (forall @t41 (= @t506 @t128))) % 0.77/1.05 (assume @p473 (forall (@list @t462) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t117 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t462 tptp.tc_Lambda_OdB))))) % 0.77/1.05 (assume @p474 (forall @t135 (= (tptp.c_List_Oappend @t85 @t133 @t1) (tptp.c_List_Oappend @t63 (tptp.c_List_Oappend @t65 @t133 @t1) @t1)))) % 0.77/1.05 (assume @p475 (forall (@list @t63 @t375 @t69 @t1) (= (tptp.c_List_Oappend @t63 (tptp.c_List_Oappend @t375 @t69 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t63 @t375 @t1) @t69 @t1)))) % 0.77/1.05 (assume @p476 (forall (@list @t133 @t2 @t1 @t65) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t133 @t2 @t1) @t65 @t1) (tptp.c_List_Oappend @t133 (tptp.c_List_Oappend @t2 @t65 @t1) @t1)))) % 0.77/1.05 (assume @p477 (forall (@list @t63 @t2 @t462 @t1) (= (tptp.c_List_Oappend @t63 (tptp.c_List_Oappend @t2 @t462 @t1) @t1) (tptp.c_List_Oappend @t64 @t462 @t1)))) % 0.77/1.05 (assume @p478 (forall (@list @t239 @t53 @t504 @t155 @t238) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t239 @t53 @t504 tptp.tc_Type_Otype) @t464 @t238) @t498))) % 0.77/1.05 (assume @p479 (forall @t37 (or @t18 @t352 @t554))) % 0.77/1.05 (assume @p480 (forall @t556 (or @t555 (not (tptp.hBOOL (tptp.hAPP @t149 @t45))) @t296))) % 0.77/1.05 (assume @p481 (forall @t556 (or @t555 (not (tptp.hBOOL (tptp.hAPP @t300 @t45))) (not (tptp.hBOOL (tptp.hAPP @t145 @t31)))))) % 0.77/1.05 (assume @p482 (forall @t8 (or @t7 @t21 @t13))) % 0.77/1.05 (assume @p483 (forall @t295 (or @t438 @t104))) % 0.77/1.05 (assume @p484 (forall (@list @t66 @t3 @t1 @t27) (or (tptp.c_Wellfounded_Oaccp @t66 @t3 @t1) (not (tptp.hBOOL (tptp.hAPP @t116 @t27))) @t148))) % 0.77/1.05 (assume @p485 (forall @t184 (or @t7 @t4 @t9))) % 0.77/1.05 (assume @p486 (forall @t184 (or @t25 @t13 @t21))) % 0.77/1.05 (assume @p487 (forall (@list @t66 @t27 @t1 @t31) (or @t147 @t296 (not @t151)))) % 0.77/1.05 (assume @p488 (forall @t553 (or @t25 @t554 @t352))) % 0.77/1.05 (assume @p489 (forall (@list @t71 @t100 @t99) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Nat_Onat_Onat__case @t100 @t99 @t117 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 @t100))))) % 0.77/1.05 (assume @p490 (forall @t558 (or @t557 (tptp.hBOOL (tptp.hAPP @t71 (tptp.v_sko__Nat__Xnat__Xinducts__1 @t71))) @t162))) % 0.77/1.05 (assume @p491 (forall @t421 (= (tptp.c_Nitpick_Onat__gcd @t2 @t117) @t2))) % 0.77/1.05 (assume @p492 (= (tptp.c_nat_Onat__size @t117) @t117)) % 0.77/1.05 (assume @p493 (forall @t559 (= (tptp.c_String_Ochar_Ochar__size @t45) @t117))) % 0.77/1.05 (assume @p494 (= (tptp.hAPP @t560 @t117) @t117)) % 0.77/1.05 (assume @p495 (forall @t558 (or @t557 (tptp.hBOOL (tptp.hAPP @t71 (tptp.v_sko__Nat__Xnat__Xinduct__1 @t71))) @t162))) % 0.77/1.05 (assume @p496 (forall @t527 (not (tptp.c_HOL_Oord__class_Oless @t103 @t117 tptp.tc_nat)))) % 0.77/1.05 (assume @p497 (forall @t422 (not (tptp.c_HOL_Oord__class_Oless @t102 @t117 tptp.tc_nat)))) % 0.77/1.05 (assume @p498 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t117)) % 0.77/1.05 (assume @p499 (forall @t558 (or @t557 (tptp.hBOOL (tptp.hAPP @t71 (tptp.v_sko__List__Xupt__Xinduct__1 @t71))) @t162))) % 0.77/1.05 (assume @p500 (forall @t186 (= (tptp.c_List_Odrop @t117 @t63 @t1) @t63))) % 0.77/1.05 (assume @p501 (forall @t422 (= (tptp.c_HOL_Ominus__class_Ominus @t117 @t102 tptp.tc_nat) @t117))) % 0.77/1.05 (assume @p502 (forall @t319 (or @t165 (not (tptp.hBOOL (tptp.hAPP @t71 @t163))) @t162))) % 0.77/1.05 (assume @p503 (forall @t422 (tptp.c_lessequals @t117 @t102 tptp.tc_nat))) % 0.77/1.05 (assume @p504 (forall @t559 (= (tptp.c_Nat_Osize__class_Osize @t45 tptp.tc_String_Ochar) @t117))) % 0.77/1.05 (assume @p505 (forall (@list @t2 @t1 @t3) (= @t420 (tptp.c_List_Oreplicate @t117 @t3 @t1)))) % 0.77/1.05 (assume @p506 (forall @t422 (= (tptp.c_Orderings_Oord__class_Omax @t102 @t117 tptp.tc_nat) @t102))) % 0.77/1.05 (assume @p507 (forall @t422 (= (tptp.c_Orderings_Oord__class_Omax @t117 @t102 tptp.tc_nat) @t102))) % 0.77/1.05 (assume @p508 (forall @t132 (or @t131 @t114 @t526))) % 0.77/1.05 (assume @p509 (forall @t421 (= @t2 (tptp.hAPP @t280 @t117)))) % 0.77/1.05 (assume @p510 (forall @t422 (= (tptp.hAPP @t560 @t102) @t102))) % 0.77/1.05 (assume @p511 (forall @t527 (= (tptp.hAPP @t211 @t117) @t103))) % 0.77/1.05 (assume @p512 (forall (@list @t248 @t2 @t246 @t250 @t249 @t247 @t1) (or (= (tptp.hAPP @t254 @t117) @t246) @t251))) % 0.77/1.05 (assume @p513 (forall @t458 (or @t347 (= @t561 @t457)))) % 0.77/1.05 (assume @p514 (forall @t458 (or @t347 (= @t436 @t561)))) % 0.77/1.05 (assume @p515 (forall (@list @t1 @t27 @t63) (or @t347 (= @t265 (tptp.hAPP @t34 @t457))))) % 0.77/1.05 (assume @p516 (forall (@list @t563 @t562 @t267) (not (= @t564 @t268)))) % 0.77/1.05 (assume @p517 (forall (@list @t267 @t563 @t562) (not (= @t268 @t564)))) % 0.77/1.05 (assume @p518 (forall (@list @t71 @t100 @t99 @t96 @t364 @t565) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t364) @t565) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t99 @t364) @t565)))))) % 0.77/1.05 (assume @p519 (forall (@list @t71 @t100 @t99 @t96 @t563 @t562) (or (not (tptp.hBOOL (tptp.hAPP @t71 (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 @t564 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t71 @t566))))) % 0.77/1.05 (assume @p520 (forall (@list @t269 @t568 @t567) (not (= @t270 @t569)))) % 0.77/1.05 (assume @p521 (forall (@list @t77 @t155 @t56) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t361) @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t427 @t56)) @t570)))) % 0.77/1.05 (assume @p522 (forall @t571 (= (tptp.c_Lambda_OdB_OdB__case @t100 @t99 @t96 @t564 @t1) @t566))) % 0.77/1.05 (assume @p523 (forall @t571 (= (tptp.c_Lambda_OdB_OdB__rec @t100 @t99 @t96 @t564 @t1) (tptp.hAPP (tptp.hAPP @t566 (tptp.c_Lambda_OdB_OdB__rec @t100 @t99 @t96 @t563 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t100 @t99 @t96 @t562 @t1))))) % 0.77/1.05 (assume @p524 (forall (@list @t304 @t77 @t155) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t572 @t77)) (tptp.hAPP @t572 @t155))) @t507))) % 0.77/1.05 (assume @p525 (forall (@list @t77 @t304 @t155) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t360 @t304)) @t574)) @t507))) % 0.77/1.05 (assume @p526 (forall (@list @t102 @t77 @t155 @t56) (= (tptp.c_Lambda_Oliftn @t102 @t361 @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t102 @t77 @t56)) (tptp.c_Lambda_Oliftn @t102 @t155 @t56))))) % 0.77/1.05 (assume @p527 (forall @t575 (= (tptp.c_Lambda_Osubstn @t574 @t77 @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t155 @t77 @t56)) (tptp.c_Lambda_Osubstn @t304 @t77 @t56))))) % 0.77/1.05 (assume @p528 (forall (@list @t568 @t567 @t269) (not (= @t569 @t270)))) % 0.77/1.05 (assume @p529 (forall (@list @t155 @t77 @t102) (= (tptp.c_Lambda_Osubstn @t155 @t77 @t102) (tptp.hAPP (tptp.hAPP @t190 (tptp.c_Lambda_Oliftn @t102 @t77 @t117)) @t102)))) % 0.77/1.05 (assume @p530 (forall @t580 (or (not (tptp.c_Wellfounded_Oaccp @t157 @t579 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t157 @t77 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t157 @t578 tptp.tc_Lambda_OdB)))) % 0.77/1.05 (assume @p531 (forall @t583 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t78 @t582) @t581)) @t256))) % 0.77/1.05 (assume @p532 (forall (@list @t238 @t504 @t239 @t53 @t462) (or (= @t238 @t504) (not (tptp.c_Type_Otyping @t239 @t584 @t504)) (not (tptp.c_Type_Otyping @t239 @t584 @t238))))) % 0.77/1.05 (assume @p533 (forall (@list @t66 @t585 @t576) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t585 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t582)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t585 @t576 tptp.tc_Lambda_OdB))))) % 0.77/1.05 (assume @p534 (forall @t580 (or @t588 @t587))) % 0.77/1.05 (assume @p535 (forall (@list @t102 @t462 @t66 @t576) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t589 @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t577 @t576 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.77/1.05 (assume @p536 (forall @t527 (= @t590 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t590 @t586 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.05 (assume @p537 (forall @t160 (= @t577 @t591))) % 0.77/1.05 (assume @p538 (forall (@list @t66 @t77 @t155 @t462) (or (not (= @t592 @t465)) (= @t66 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t155 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t66 @t77 @t155 @t462) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t462 @t586)))) % 0.77/1.05 (assume @p539 (forall @t158 (= @t155 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t155) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t155) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.05 (assume @p540 (forall @t594 (or @t593 @t587))) % 0.77/1.05 (assume @p541 (forall @t160 (= @t591 @t577))) % 0.77/1.05 (assume @p542 (forall @t596 (or @t595 @t587))) % 0.77/1.05 (assume @p543 (forall (@list @t77 @t155 @t102 @t576) (not (= @t598 @t597)))) % 0.77/1.05 (assume @p544 (forall (@list @t433 @t2 @t3 @t133 @t1) (or (= (tptp.c_List_Ofoldl @t433 (tptp.hAPP @t599 @t3) @t133 @t1 @t1) (tptp.hAPP @t599 (tptp.c_List_Ofoldl @t433 @t3 @t133 @t1 @t1))) @t434))) % 0.77/1.05 (assume @p545 (forall (@list @t197 @t27 @t199 @t1) (= (tptp.c_List_Ofoldl @t197 @t27 @t243 @t1 @t199) @t27))) % 0.77/1.05 (assume @p546 (forall (@list @t1 @t2 @t3 @t133) (or @t528 (= (tptp.c_List_Ofoldl @t33 @t226 @t133 @t1 @t1) (tptp.hAPP @t225 (tptp.c_List_Ofoldl @t33 @t3 @t133 @t1 @t1)))))) % 0.77/1.05 (assume @p547 (forall (@list @t433 @t2 @t510 @t133 @t1) (or (= (tptp.hAPP @t599 (tptp.c_List_Ofoldl @t433 @t510 @t133 @t1 @t1)) (tptp.c_List_Ofoldl @t433 @t2 @t133 @t1 @t1)) @t511))) % 0.77/1.05 (assume @p548 (forall (@list @t197 @t27 @t2 @t63 @t199 @t1) (= (tptp.c_List_Ofoldl @t197 @t27 @t365 @t1 @t199) (tptp.c_List_Ofoldl @t197 (tptp.hAPP (tptp.hAPP @t197 @t27) @t2) @t63 @t1 @t199)))) % 0.77/1.05 (assume @p549 (forall (@list @t197 @t27 @t63 @t65 @t199 @t1) (= (tptp.c_List_Ofoldl @t197 @t27 @t231 @t1 @t199) (tptp.c_List_Ofoldl @t197 (tptp.c_List_Ofoldl @t197 @t27 @t63 @t1 @t199) @t65 @t1 @t199)))) % 0.77/1.05 (assume @p550 (forall (@list @t155 @t462 @t304 @t53) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t465) @t304) @t53) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t502 (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t304 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t53 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.05 (assume @p551 (forall (@list @t56 @t304) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t56)) @t304) @t56) @t304))) % 0.77/1.05 (assume @p552 (forall @t261 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t260) @t258)) @t189))) % 0.77/1.05 (assume @p553 (forall (@list @t155 @t56 @t77) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t570) @t77) @t56) @t155))) % 0.77/1.05 (assume @p554 (forall @t600 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t464)) @t156))) % 0.77/1.05 (assume @p555 (forall @t422 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t589)))) % 0.77/1.05 (assume @p556 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.77/1.05 (assume @p557 (forall @t160 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t577)) @t601))) % 0.77/1.05 (assume @p558 (forall @t606 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____) @t304) @t53))) @t605 @t604 (not (tptp.c_Type_Otyping @t603 tptp.v_a____ @t602))))) % 0.77/1.05 (assume @p559 (forall @t508 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t598) (tptp.hAPP @t257 @t117))))) % 0.77/1.05 (assume @p560 (forall (@list @t102 @t585) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t589 @t585 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t585 tptp.tc_Lambda_OdB))))) % 0.77/1.05 (assume @p561 (tptp.c_Type_Otyping @t607 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs tptp.v_r____)) tptp.v_a____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 0.77/1.05 (assume @p562 (forall @t460 (or @t519 @t518 @t517 @t516 @t608 @t466))) % 0.77/1.05 (assume @p563 (forall @t460 (or (not (tptp.class_Ring__and__Field_Osemiring__0 @t1)) @t516 @t608 @t466))) % 0.77/1.05 (assume @p564 (forall @t94 (or @t519 @t518 @t517 @t516 (not (= (tptp.c_Power_Opower__class_Opower @t27 @t117 @t1) @t28))))) % 0.77/1.05 (assume @p565 (forall @t41 (or @t544 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t117 @t1) @t28)))) % 0.77/1.05 (assume @p566 (forall (@list @t1 @t2 @t133) (or @t347 (= (tptp.hAPP @t225 (tptp.c_List_Ofoldl @t33 @t28 @t133 @t1 @t1)) (tptp.c_List_Ofoldl @t33 @t2 @t133 @t1 @t1))))) % 0.77/1.05 (assume @p567 (forall (@list @t155 @t77) (= (tptp.c_Lambda_Osubstn @t155 @t77 @t117) (tptp.hAPP @t191 @t117)))) % 0.77/1.05 (assume @p568 (forall (@list @t66 @t77) (= @t592 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t592 @t586 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.77/1.05 (assume @p569 (forall @t610 (or @t609 @t129))) % 0.77/1.05 (assume @p570 (forall @t610 (or @t609 @t611))) % 0.77/1.05 (assume @p571 (forall (@list @t66 @t77 @t155) (or (not (= @t592 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t155 @t586 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t592 @t155)))) % 0.77/1.05 (assume @p572 (forall @t594 (or @t593 (= @t77 @t577)))) % 0.77/1.05 (assume @p573 (forall @t614 (or @t613 @t612))) % 0.77/1.05 (assume @p574 (forall @t614 (or @t613 @t611))) % 0.77/1.05 (assume @p575 (forall @t583 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t582) @t581)) @t189))) % 0.77/1.05 (assume @p576 (forall @t596 (or @t595 (= @t590 @t77)))) % 0.77/1.05 (assume @p577 (forall @t580 (or @t588 (= @t577 @t77)))) % 0.77/1.05 (assume @p578 (forall @t600 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t573 @t83))) @t156))) % 0.77/1.05 (assume @p579 (forall (@list @t66 @t53 @t52) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t259 @t83) @t52))) @t601))) % 0.77/1.05 (assume @p580 @t617) % 0.77/1.05 (assume @p581 (forall @t580 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t578)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t77))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t579)))))) % 0.77/1.05 (assume @p582 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_a____))) % 0.77/1.05 (assume @p583 (forall @t575 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t574) @t77) @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t191 @t56)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t304) @t77) @t56))))) % 0.77/1.05 (assume @p584 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t615))) % 0.77/1.05 (assume @p585 (forall @t619 (or @t618 (= @t563 @t568)))) % 0.77/1.05 (assume @p586 (forall @t619 (or @t618 (= @t562 @t567)))) % 0.77/1.05 (assume @p587 (forall (@list @t66 @t462 @t77) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t77 @t462 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t612))) % 0.77/1.05 (assume @p588 @t620) % 0.77/1.05 (assume @p589 @t621) % 0.77/1.05 (assume @p590 (not @t622)) % 0.77/1.05 (assume @p591 (forall @t626 (or (tptp.class_Orderings_Opreorder @t625) (not (tptp.class_Orderings_Opreorder @t623))))) % 0.77/1.05 (assume @p592 (forall @t626 (or (tptp.class_Orderings_Oorder @t625) (not (tptp.class_Orderings_Oorder @t623))))) % 0.77/1.05 (assume @p593 (forall @t626 (or (tptp.class_Orderings_Obot @t625) (not (tptp.class_Orderings_Obot @t623))))) % 0.77/1.05 (assume @p594 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.77/1.05 (assume @p595 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.77/1.05 (assume @p596 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.77/1.05 (assume @p597 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.77/1.05 (assume @p598 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.77/1.05 (assume @p599 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.77/1.05 (assume @p600 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.77/1.05 (assume @p601 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.77/1.05 (assume @p602 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.77/1.05 (assume @p603 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.77/1.05 (assume @p604 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.77/1.05 (assume @p605 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.77/1.05 (assume @p606 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.77/1.05 (assume @p607 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.77/1.05 (assume @p608 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.77/1.05 (assume @p609 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.77/1.05 (assume @p610 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.77/1.05 (assume @p611 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.77/1.05 (assume @p612 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.77/1.05 (assume @p613 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.77/1.05 (assume @p614 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.77/1.05 (assume @p615 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.77/1.05 (assume @p616 (tptp.class_Power_Opower tptp.tc_nat)) % 0.77/1.05 (assume @p617 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.77/1.05 (assume @p618 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.77/1.05 (assume @p619 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.77/1.05 (assume @p620 (forall @t194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t411 @t2) @t2)))) % 0.77/1.05 (assume @p621 (forall (@list @t628 @t627 @t1) (or (= @t628 @t627) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t411 @t628) @t627)))))) % 0.77/1.05 (step @p622 :rule cnf_or_pos :args (@t632)) % 0.77/1.05 (step @p623 :rule reordering :premises (@p622) :args ((or @t622 @t631 @t630 @t629 @t633))) % 0.77/1.05 (step @p624 :rule chain_m_resolution :premises (@p623 @p590 @p461 @p588 @p589) :args (@t633 (@list true false false false) (@list @t622 @t551 @t620 @t621))) % 0.77/1.05 (assume-push @p631 @t617) % 0.77/1.05 (step @p626 :rule instantiate :premises (@p580) :args ((@list tptp.v_u____ tptp.v_i____ tptp.v_e____ tptp.v_T_H____))) % 0.77/1.05 (step-pop @p632 :rule scope :premises (@p626)) % 0.77/1.05 (step @p627 :rule process_scope :premises (@p632) :args (@t632)) % 0.77/1.05 (step @p629 :rule implies_elim :premises (@p627)) % 0.77/1.05 (step @p630 false :rule chain_m_resolution :premises (@p629 @p624 @p580) :args (false (@list true false) (@list @t632 @t617))) % 0.77/1.05 ) % 0.77/1.05 % SZS output end Proof % 0.77/1.05 % cvc5 exiting %------------------------------------------------------------------------------