%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL839-1 : 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 : n008.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 0.69s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL839-1 : 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 % 0.08/0.35 % Computer : n008.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Fri Sep 4 20:50:53 UTC 2026 % 0.13/0.36 % CPUTime : % 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.69 % SZS status Unsatisfiable % 0.36/0.69 % SZS output start Proof % 0.43/0.71 ( % 0.43/0.71 (declare-sort $$unsorted 0) % 0.43/0.71 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.v_Ua____ $$unsorted) % 0.43/0.71 (declare-const tptp.v_thesis____ Bool) % 0.43/0.71 (declare-const tptp.v_T_H____ $$unsorted) % 0.43/0.71 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_ua______ $$unsorted) % 0.43/0.71 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_T____ $$unsorted) % 0.43/0.71 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.tc_nat $$unsorted) % 0.43/0.71 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_e____ $$unsorted) % 0.43/0.71 (declare-const tptp.v_a____ $$unsorted) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_ia______ $$unsorted) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.v_ea______ $$unsorted) % 0.43/0.71 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_as____ $$unsorted) % 0.43/0.71 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.v_u____ $$unsorted) % 0.43/0.71 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.v_r____ $$unsorted) % 0.43/0.71 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.43/0.71 (declare-const tptp.tc_bool $$unsorted) % 0.43/0.71 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.43/0.71 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.43/0.71 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.43/0.71 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.c_Type_Otype_Otype__size (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.v_i____ $$unsorted) % 0.43/0.71 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.43/0.71 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.43/0.71 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.43/0.71 (define @t1 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.43/0.71 (define @t2 () (@var "V_nat" $$unsorted)) % 0.43/0.71 (define @t3 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.43/0.71 (define @t4 () (@list @t2)) % 0.43/0.71 (define @t5 () (@var "V_n" $$unsorted)) % 0.43/0.71 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t1 @t5 tptp.tc_nat)) % 0.43/0.71 (define @t7 () (not @t6)) % 0.43/0.71 (define @t8 () (@var "V_m" $$unsorted)) % 0.43/0.71 (define @t9 () (tptp.c_HOL_Oord__class_Oless @t1 @t8 tptp.tc_nat)) % 0.43/0.71 (define @t10 () (not @t9)) % 0.43/0.71 (define @t11 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t5 tptp.tc_nat)) % 0.43/0.71 (define @t12 () (@list @t8 @t5)) % 0.43/0.71 (define @t13 () (tptp.c_HOL_Oord__class_Oless @t8 @t5 tptp.tc_nat)) % 0.43/0.71 (define @t14 () (not @t13)) % 0.43/0.71 (define @t15 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t8 tptp.tc_nat)) % 0.43/0.71 (define @t16 () (tptp.c_HOL_Oord__class_Oless @t1 @t15 tptp.tc_nat)) % 0.43/0.71 (define @t17 () (@list @t5 @t8)) % 0.43/0.71 (define @t18 () (@var "V_b" $$unsorted)) % 0.43/0.71 (define @t19 () (@var "V_a" $$unsorted)) % 0.43/0.71 (define @t20 () (@var "V_P" $$unsorted)) % 0.43/0.71 (define @t21 () (@var "T_a" $$unsorted)) % 0.43/0.71 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 @t21)) % 0.43/0.71 (define @t23 () (not @t22)) % 0.43/0.71 (define @t24 () (tptp.c_HOL_Ozero__class_Ozero @t21)) % 0.43/0.71 (define @t25 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 @t21)) % 0.43/0.71 (define @t26 () (tptp.c_HOL_Oord__class_Oless @t25 @t24 @t21)) % 0.43/0.71 (define @t27 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t21))) % 0.43/0.71 (define @t28 () (@list @t21 @t19 @t18)) % 0.43/0.71 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.43/0.71 (define @t30 () (tptp.hAPP @t29 @t5)) % 0.43/0.71 (define @t31 () (@var "V_y_H" $$unsorted)) % 0.43/0.71 (define @t32 () (@var "V_x_H" $$unsorted)) % 0.43/0.71 (define @t33 () (tptp.c_HOL_Oord__class_Oless @t32 @t31 @t21)) % 0.43/0.71 (define @t34 () (@var "V_y" $$unsorted)) % 0.43/0.71 (define @t35 () (@var "V_x" $$unsorted)) % 0.43/0.71 (define @t36 () (tptp.c_HOL_Oord__class_Oless @t35 @t34 @t21)) % 0.43/0.71 (define @t37 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t31 @t21)) % 0.43/0.71 (define @t38 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t34 @t21)) % 0.43/0.71 (define @t39 () (not (= @t38 @t37))) % 0.43/0.71 (define @t40 () (@list @t21 @t35 @t34 @t32 @t31)) % 0.43/0.71 (define @t41 () (not @t36)) % 0.43/0.71 (define @t42 () (@var "V_j" $$unsorted)) % 0.43/0.71 (define @t43 () (@var "V_k" $$unsorted)) % 0.43/0.71 (define @t44 () (@var "V_i" $$unsorted)) % 0.43/0.71 (define @t45 () (tptp.hAPP @t29 @t44)) % 0.43/0.71 (define @t46 () (tptp.hAPP @t45 @t43)) % 0.43/0.71 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t46 @t42 tptp.tc_nat)) % 0.43/0.71 (define @t48 () (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_HOL_Ominus__class_Ominus @t42 @t43 tptp.tc_nat) tptp.tc_nat)) % 0.43/0.71 (define @t49 () (@list @t44 @t42 @t43)) % 0.43/0.71 (define @t50 () (@list @t44 @t43 @t42)) % 0.43/0.71 (define @t51 () (= @t8 @t5)) % 0.43/0.71 (define @t52 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t43 tptp.tc_nat))) % 0.43/0.71 (define @t53 () (tptp.c_Suc @t5)) % 0.43/0.71 (define @t54 () (tptp.c_Suc @t8)) % 0.43/0.71 (define @t55 () (@list @t8)) % 0.43/0.71 (define @t56 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t35 @t21)) % 0.43/0.71 (define @t57 () (= @t56 @t24)) % 0.43/0.71 (define @t58 () (not (tptp.class_Int_Onumber__ring @t21))) % 0.43/0.71 (define @t59 () (not (tptp.class_Ring__and__Field_Oidom @t21))) % 0.43/0.71 (define @t60 () (@list @t21 @t35)) % 0.43/0.71 (define @t61 () (not (tptp.class_OrderedGroup_Ogroup__add @t21))) % 0.43/0.71 (define @t62 () (@list @t21 @t19)) % 0.43/0.71 (define @t63 () (not (tptp.class_OrderedGroup_Oab__group__add @t21))) % 0.43/0.71 (define @t64 () (@var "V_l" $$unsorted)) % 0.43/0.71 (define @t65 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.43/0.71 (define @t66 () (@list @t5)) % 0.43/0.71 (define @t67 () (tptp.c_HOL_Oplus__class_Oplus @t21)) % 0.43/0.71 (define @t68 () (tptp.hAPP @t29 @t18)) % 0.43/0.71 (define @t69 () (@var "V_d" $$unsorted)) % 0.43/0.71 (define @t70 () (tptp.hAPP @t30 @t8)) % 0.43/0.71 (define @t71 () (tptp.hAPP @t29 @t42)) % 0.43/0.71 (define @t72 () (tptp.hAPP @t71 @t43)) % 0.43/0.71 (define @t73 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t44 @t42 tptp.tc_nat) @t43 tptp.tc_nat)) % 0.43/0.71 (define @t74 () (@var "V_xa" $$unsorted)) % 0.43/0.71 (define @t75 () (tptp.hAPP @t30 @t43)) % 0.43/0.71 (define @t76 () (tptp.hAPP @t29 @t8)) % 0.43/0.71 (define @t77 () (tptp.hAPP @t76 @t43)) % 0.43/0.71 (define @t78 () (@list @t8 @t43 @t5)) % 0.43/0.71 (define @t79 () (tptp.hAPP @t29 @t43)) % 0.43/0.71 (define @t80 () (tptp.hAPP @t79 @t5)) % 0.43/0.71 (define @t81 () (tptp.hAPP @t79 @t8)) % 0.43/0.71 (define @t82 () (@list @t43 @t8 @t5)) % 0.43/0.71 (define @t83 () (= @t35 @t34)) % 0.43/0.71 (define @t84 () (@list @t21 @t35 @t34)) % 0.43/0.71 (define @t85 () (= @t19 @t18)) % 0.43/0.71 (define @t86 () (not (= @t25 @t24))) % 0.43/0.71 (define @t87 () (tptp.c_Suc @t43)) % 0.43/0.71 (define @t88 () (@list @t8 @t5 @t43)) % 0.43/0.71 (define @t89 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t65 tptp.tc_nat)) % 0.43/0.71 (define @t90 () (tptp.hAPP @t76 @t5)) % 0.43/0.71 (define @t91 () (tptp.hAPP @t67 @t19)) % 0.43/0.71 (define @t92 () (tptp.hAPP @t91 @t18)) % 0.43/0.71 (define @t93 () (tptp.c_Suc @t44)) % 0.43/0.71 (define @t94 () (tptp.c_Suc @t1)) % 0.43/0.71 (define @t95 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t42 tptp.tc_nat))) % 0.43/0.71 (define @t96 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t65 tptp.tc_nat)) % 0.43/0.71 (define @t97 () (@var "V_e" $$unsorted)) % 0.43/0.71 (define @t98 () (@var "V_T" $$unsorted)) % 0.43/0.71 (define @t99 () (tptp.hAPP (tptp.c_Type_Oshift @t97 @t44 @t98 @t21) @t42)) % 0.43/0.71 (define @t100 () (@list @t97 @t44 @t98 @t21 @t42)) % 0.43/0.71 (define @t101 () (@var "V_r" $$unsorted)) % 0.43/0.71 (define @t102 () (tptp.c_Transitive__Closure_Ortranclp @t101 @t21)) % 0.43/0.71 (define @t103 () (tptp.hAPP @t102 @t35)) % 0.43/0.71 (define @t104 () (tptp.hBOOL (tptp.hAPP @t103 @t34))) % 0.43/0.71 (define @t105 () (@list @t101 @t21 @t35 @t34)) % 0.43/0.71 (define @t106 () (@var "V_xs" $$unsorted)) % 0.43/0.71 (define @t107 () (tptp.c_List_Olist_ONil @t21)) % 0.43/0.71 (define @t108 () (= @t8 @t94)) % 0.43/0.71 (define @t109 () (= @t5 @t94)) % 0.43/0.71 (define @t110 () (not (= @t94 @t90))) % 0.43/0.71 (define @t111 () (= @t5 @t1)) % 0.43/0.71 (define @t112 () (= @t8 @t1)) % 0.43/0.71 (define @t113 () (@var "T_b" $$unsorted)) % 0.43/0.71 (define @t114 () (tptp.c_List_Olist_ONil @t113)) % 0.43/0.71 (define @t115 () (@var "V_f" $$unsorted)) % 0.43/0.71 (define @t116 () (tptp.c_HOL_Oone__class_Oone @t21)) % 0.43/0.71 (define @t117 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t21))) % 0.43/0.71 (define @t118 () (@list @t21)) % 0.43/0.71 (define @t119 () (tptp.c_fequal @t21)) % 0.43/0.71 (define @t120 () (tptp.c_HOL_Oord__class_Oless @t8 @t53 tptp.tc_nat)) % 0.43/0.71 (define @t121 () (tptp.c_HOL_Oord__class_Oless @t5 @t8 tptp.tc_nat)) % 0.43/0.71 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t5 @t54 tptp.tc_nat)) % 0.43/0.71 (define @t123 () (not @t122)) % 0.43/0.71 (define @t124 () (tptp.hAPP (tptp.hAPP @t29 @t94) @t1)) % 0.43/0.71 (define @t125 () (@var "V_c" $$unsorted)) % 0.43/0.71 (define @t126 () (tptp.hAPP @t67 @t18)) % 0.43/0.71 (define @t127 () (tptp.hAPP @t126 @t69)) % 0.43/0.71 (define @t128 () (tptp.hAPP @t91 @t125)) % 0.43/0.71 (define @t129 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t21))) % 0.43/0.71 (define @t130 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t64 tptp.tc_nat))) % 0.43/0.71 (define @t131 () (@var "V_nat_H" $$unsorted)) % 0.43/0.71 (define @t132 () (tptp.c_Suc @t131)) % 0.43/0.71 (define @t133 () (@list @t131)) % 0.43/0.71 (define @t134 () (tptp.c_Suc @t35)) % 0.43/0.71 (define @t135 () (tptp.c_HOL_Oord__class_Oless @t35 @t134 tptp.tc_nat)) % 0.43/0.71 (define @t136 () (@list @t35)) % 0.43/0.71 (define @t137 () (tptp.c_List_Ofoldr @t67 @t106 @t24 @t21 @t21)) % 0.43/0.71 (define @t138 () (not (tptp.class_OrderedGroup_Omonoid__add @t21))) % 0.43/0.71 (define @t139 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t21))) % 0.43/0.71 (define @t140 () (tptp.c_Predicate_Oconversep @t101 @t21 @t113)) % 0.43/0.71 (define @t141 () (tptp.hAPP @t45 @t42)) % 0.43/0.71 (define @t142 () (tptp.hAPP @t126 @t125)) % 0.43/0.71 (define @t143 () (tptp.c_HOL_Oord__class_Oless @t128 @t142 @t21)) % 0.43/0.71 (define @t144 () (@list @t21 @t19 @t125 @t18)) % 0.43/0.71 (define @t145 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t21))) % 0.43/0.71 (define @t146 () (@list @t21 @t19 @t18 @t125)) % 0.43/0.71 (define @t147 () (tptp.hAPP @t67 @t125)) % 0.43/0.71 (define @t148 () (tptp.hAPP @t147 @t19)) % 0.43/0.71 (define @t149 () (tptp.c_HOL_Oord__class_Oless @t148 (tptp.hAPP @t147 @t18) @t21)) % 0.43/0.71 (define @t150 () (@list @t21 @t125 @t19 @t18)) % 0.43/0.71 (define @t151 () (tptp.c_HOL_Oord__class_Oless @t81 @t80 tptp.tc_nat)) % 0.43/0.71 (define @t152 () (tptp.hAPP @t29 @t1)) % 0.43/0.71 (define @t153 () (tptp.hAPP @t152 @t94)) % 0.43/0.71 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t54 @t5 tptp.tc_nat)) % 0.43/0.71 (define @t155 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t5 @t21)) % 0.43/0.71 (define @t156 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t21)) % 0.43/0.71 (define @t157 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t21))) % 0.43/0.71 (define @t158 () (@list @t21 @t8 @t5)) % 0.43/0.71 (define @t159 () (not (= @t90 @t94))) % 0.43/0.71 (define @t160 () (tptp.hAPP @t79 @t65)) % 0.43/0.71 (define @t161 () (@var "V_s" $$unsorted)) % 0.43/0.71 (define @t162 () (tptp.c_Lambda_OdB_OAbs @t161)) % 0.43/0.71 (define @t163 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t19) @t18)))) % 0.43/0.71 (define @t164 () (tptp.hAPP @t102 @t18)) % 0.43/0.71 (define @t165 () (tptp.hAPP @t102 @t19)) % 0.43/0.71 (define @t166 () (tptp.hBOOL (tptp.hAPP @t165 @t125))) % 0.43/0.71 (define @t167 () (@list @t101 @t21 @t19 @t125 @t18)) % 0.43/0.71 (define @t168 () (tptp.hAPP @t101 @t18)) % 0.43/0.71 (define @t169 () (tptp.c_Wellfounded_Oaccp @t101 @t19 @t21)) % 0.43/0.71 (define @t170 () (not @t169)) % 0.43/0.71 (define @t171 () (tptp.c_Wellfounded_Oaccp @t101 @t18 @t21)) % 0.43/0.71 (define @t172 () (@var "V_ts" $$unsorted)) % 0.43/0.71 (define @t173 () (@var "V_t" $$unsorted)) % 0.43/0.71 (define @t174 () (tptp.c_Type_Otyping @t97 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t173 @t172 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t98)) % 0.43/0.71 (define @t175 () (not @t174)) % 0.43/0.71 (define @t176 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t98 @t97 @t173 @t172)) % 0.43/0.71 (define @t177 () (@list @t97 @t172 @t98 @t173)) % 0.43/0.71 (define @t178 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t98 @t97 @t173 @t172)) % 0.43/0.71 (define @t179 () (tptp.hAPP @t45 @t65)) % 0.43/0.71 (define @t180 () (tptp.c_Lambda_Olift @t161 @t44)) % 0.43/0.71 (define @t181 () (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst @t173 @t161 @t42) @t44)) % 0.43/0.71 (define @t182 () (@list @t173 @t161 @t42 @t44)) % 0.43/0.71 (define @t183 () (tptp.hAPP @t71 @t65)) % 0.43/0.71 (define @t184 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t183 tptp.tc_nat))) % 0.43/0.71 (define @t185 () (tptp.c_Lambda_Olift @t173 @t44)) % 0.43/0.71 (define @t186 () (tptp.c_HOL_Oord__class_Oless @t44 @t43 tptp.tc_nat)) % 0.43/0.71 (define @t187 () (tptp.c_Lambda_OdB_OVar @t44)) % 0.43/0.71 (define @t188 () (tptp.c_Lambda_Olift @t187 @t43)) % 0.43/0.71 (define @t189 () (@list @t44 @t43)) % 0.43/0.71 (define @t190 () (tptp.c_Lambda_OdB_OAbs @t173)) % 0.43/0.71 (define @t191 () (not (tptp.c_Type_Otyping @t97 @t190 @t98))) % 0.43/0.71 (define @t192 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t98 @t97 @t173)) % 0.43/0.71 (define @t193 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t98 @t97 @t173)) % 0.43/0.71 (define @t194 () (@var "V_us" $$unsorted)) % 0.43/0.71 (define @t195 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t172 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t196 () (not (tptp.c_Type_Otyping @t97 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t195 @t194 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t98))) % 0.43/0.71 (define @t197 () (@var "V_Ts" $$unsorted)) % 0.43/0.71 (define @t198 () (not (tptp.c_Type_Otypings @t97 @t172 @t197))) % 0.43/0.71 (define @t199 () (@var "V_U" $$unsorted)) % 0.43/0.71 (define @t200 () (not (tptp.c_Type_Otyping @t97 @t195 @t199))) % 0.43/0.71 (define @t201 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t98 @t199 @t97 @t194)) % 0.43/0.71 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t24 @t19 @t21)) % 0.43/0.71 (define @t203 () (not @t202)) % 0.43/0.71 (define @t204 () (tptp.hAPP @t91 @t19)) % 0.43/0.71 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t24 @t204 @t21)) % 0.43/0.71 (define @t206 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t21))) % 0.43/0.71 (define @t207 () (@list @t21 @t8)) % 0.43/0.71 (define @t208 () (tptp.c_HOL_Oord__class_Oless @t19 @t24 @t21)) % 0.43/0.71 (define @t209 () (not @t208)) % 0.43/0.71 (define @t210 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t21))) % 0.43/0.71 (define @t211 () (tptp.c_HOL_Oord__class_Oless @t204 @t24 @t21)) % 0.43/0.71 (define @t212 () (not @t211)) % 0.43/0.71 (define @t213 () (not (tptp.class_Ring__and__Field_Oordered__idom @t21))) % 0.43/0.71 (define @t214 () (@list @t21 @t18 @t19 @t125)) % 0.43/0.71 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t156 @t155 @t21)) % 0.43/0.71 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t1 @t90 tptp.tc_nat)) % 0.43/0.71 (define @t217 () (@var "V_zs" $$unsorted)) % 0.43/0.71 (define @t218 () (tptp.hAPP @t67 @t35)) % 0.43/0.71 (define @t219 () (@var "V_s_H" $$unsorted)) % 0.43/0.71 (define @t220 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t221 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t161) @t219)))) % 0.43/0.71 (define @t222 () (@var "V_t_H" $$unsorted)) % 0.43/0.71 (define @t223 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t173) @t222)))) % 0.43/0.71 (define @t224 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t219)) % 0.43/0.71 (define @t225 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t161)) % 0.43/0.71 (define @t226 () (tptp.hAPP @t225 @t173)) % 0.43/0.71 (define @t227 () (tptp.hAPP @t220 @t226)) % 0.43/0.71 (define @t228 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t101) @t161)) % 0.43/0.71 (define @t229 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t230 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t101) @t161)))) % 0.43/0.71 (define @t231 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 (tptp.c_Lambda_Osubst @t173 @t101 @t44)) (tptp.c_Lambda_Osubst @t173 @t161 @t44)))) % 0.43/0.71 (define @t232 () (@list @t173 @t101 @t44 @t161)) % 0.43/0.71 (define @t233 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t101) @t161)))) % 0.43/0.71 (define @t234 () (tptp.c_Lambda_Osubst @t161 @t173 @t44)) % 0.43/0.71 (define @t235 () (tptp.c_Lambda_Osubst @t101 @t173 @t44)) % 0.43/0.71 (define @t236 () (@list @t101 @t173 @t44 @t161)) % 0.43/0.71 (define @t237 () (@var "V_v" $$unsorted)) % 0.43/0.71 (define @t238 () (@var "V_rs" $$unsorted)) % 0.43/0.71 (define @t239 () (tptp.c_Lambda_OdB_OVar @t5)) % 0.43/0.71 (define @t240 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t238 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t241 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t240) @t237)))) % 0.43/0.71 (define @t242 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t5 @t238 @t237)) % 0.43/0.71 (define @t243 () (@var "V_u" $$unsorted)) % 0.43/0.71 (define @t244 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t173)) % 0.43/0.71 (define @t245 () (tptp.hAPP @t244 @t243)) % 0.43/0.71 (define @t246 () (not (tptp.c_Type_Otyping @t97 @t245 @t98))) % 0.43/0.71 (define @t247 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t98 @t97 @t173 @t243)) % 0.43/0.71 (define @t248 () (tptp.c_Lambda_OdB_OVar @t42)) % 0.43/0.71 (define @t249 () (tptp.c_Lambda_Osubst @t248 @t243 @t44)) % 0.43/0.71 (define @t250 () (@list @t42 @t243 @t44)) % 0.43/0.71 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t43 @t44 tptp.tc_nat)) % 0.43/0.71 (define @t252 () (tptp.c_Lambda_Osubst @t187 @t161 @t43)) % 0.43/0.71 (define @t253 () (@list @t44 @t161 @t43)) % 0.43/0.71 (define @t254 () (@var "V_type2" $$unsorted)) % 0.43/0.71 (define @t255 () (@var "V_type1" $$unsorted)) % 0.43/0.71 (define @t256 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t255) @t254)) % 0.43/0.71 (define @t257 () (@list @t255 @t254)) % 0.43/0.71 (define @t258 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t5 @t65 tptp.tc_nat))) % 0.43/0.71 (define @t259 () (@var "V_dB" $$unsorted)) % 0.43/0.71 (define @t260 () (tptp.c_Lambda_OdB_OAbs @t259)) % 0.43/0.71 (define @t261 () (@list @t259)) % 0.43/0.71 (define @t262 () (@var "V_dB2" $$unsorted)) % 0.43/0.71 (define @t263 () (@var "V_dB1" $$unsorted)) % 0.43/0.71 (define @t264 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t263) @t262)) % 0.43/0.71 (define @t265 () (@list @t263 @t262)) % 0.43/0.71 (define @t266 () (tptp.c_List_Ofoldl @t67 @t19 @t106 @t21 @t21)) % 0.43/0.71 (define @t267 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t21))) % 0.43/0.71 (define @t268 () (= @t2 @t131)) % 0.43/0.71 (define @t269 () (@list @t2 @t131)) % 0.43/0.71 (define @t270 () (= @t19 @t24)) % 0.43/0.71 (define @t271 () (not (= @t90 @t1))) % 0.43/0.71 (define @t272 () (tptp.hAPP @t29 @t35)) % 0.43/0.71 (define @t273 () (tptp.hAPP @t218 @t34)) % 0.43/0.71 (define @t274 () (tptp.hAPP @t67 @t34)) % 0.43/0.71 (define @t275 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t21))) % 0.43/0.71 (define @t276 () (tptp.hAPP @t126 @t19)) % 0.43/0.71 (define @t277 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t21))) % 0.43/0.71 (define @t278 () (@var "V_z" $$unsorted)) % 0.43/0.71 (define @t279 () (tptp.hAPP @t29 @t34)) % 0.43/0.71 (define @t280 () (tptp.hAPP @t279 @t278)) % 0.43/0.71 (define @t281 () (tptp.c_HOL_Oord__class_Oless @t35 @t280 tptp.tc_nat)) % 0.43/0.71 (define @t282 () (@list @t35 @t34 @t278)) % 0.43/0.71 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t35 @t34 tptp.tc_nat)) % 0.43/0.71 (define @t284 () (@list @t44 @t8)) % 0.43/0.71 (define @t285 () (tptp.c_Suc @t90)) % 0.43/0.71 (define @t286 () (tptp.hAPP (tptp.hAPP @t29 @t54) @t5)) % 0.43/0.71 (define @t287 () (tptp.hAPP @t76 @t53)) % 0.43/0.71 (define @t288 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t289 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t101))) % 0.43/0.71 (define @t290 () (@list @t101)) % 0.43/0.71 (define @t291 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t173)))) % 0.43/0.71 (define @t292 () (tptp.hAPP @t102 @t34)) % 0.43/0.71 (define @t293 () (not (tptp.hBOOL (tptp.hAPP @t164 @t19)))) % 0.43/0.71 (define @t294 () (@list @t101 @t18 @t21 @t19)) % 0.43/0.71 (define @t295 () (@var "V_A" $$unsorted)) % 0.43/0.71 (define @t296 () (tptp.hAPP @t67 @t24)) % 0.43/0.71 (define @t297 () (tptp.hAPP @t218 (tptp.hAPP @t274 @t278))) % 0.43/0.71 (define @t298 () (@list @t21 @t35 @t34 @t278)) % 0.43/0.71 (define @t299 () (tptp.hAPP @t218 @t278)) % 0.43/0.71 (define @t300 () (tptp.hAPP @t272 @t278)) % 0.43/0.71 (define @t301 () (tptp.hAPP @t91 @t142)) % 0.43/0.71 (define @t302 () (tptp.hAPP @t67 @t92)) % 0.43/0.71 (define @t303 () (tptp.hAPP @t302 @t125)) % 0.43/0.71 (define @t304 () (= @t303 @t301)) % 0.43/0.71 (define @t305 () (tptp.hAPP @t67 @t128)) % 0.43/0.71 (define @t306 () (tptp.hAPP @t147 @t69)) % 0.43/0.71 (define @t307 () (tptp.hAPP @t91 @t306)) % 0.43/0.71 (define @t308 () (@list @t21 @t19 @t125 @t69)) % 0.43/0.71 (define @t309 () (@var "V_a2" $$unsorted)) % 0.43/0.71 (define @t310 () (@var "V_a1" $$unsorted)) % 0.43/0.71 (define @t311 () (tptp.hBOOL (tptp.hAPP @t168 @t19))) % 0.43/0.71 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t19) @t18))) % 0.43/0.71 (define @t313 () (tptp.hAPP @t67 @t116)) % 0.43/0.71 (define @t314 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t101 @t21 @t21) @t21) @t35) @t34))) % 0.43/0.71 (define @t315 () (tptp.hBOOL (tptp.hAPP @t292 @t35))) % 0.43/0.71 (define @t316 () (= @t34 @t278)) % 0.43/0.71 (define @t317 () (= @t18 @t125)) % 0.43/0.71 (define @t318 () (not (= @t92 @t128))) % 0.43/0.71 (define @t319 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t21))) % 0.43/0.71 (define @t320 () (tptp.c_Lambda_Osubst @t173 @t243 @t44)) % 0.43/0.71 (define @t321 () (tptp.c_HOL_Oord__class_Oless @t35 @t35 tptp.tc_nat)) % 0.43/0.71 (define @t322 () (tptp.c_Lambda_Olift @t173 @t43)) % 0.43/0.71 (define @t323 () (= (tptp.hAPP @t296 @t19) @t19)) % 0.43/0.71 (define @t324 () (= (tptp.hAPP @t91 @t24) @t19)) % 0.43/0.71 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t54 @t53 tptp.tc_nat)) % 0.43/0.71 (define @t326 () (not (tptp.c_Type_Otyping @t97 @t195 @t98))) % 0.43/0.71 (define @t327 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t98 @t97 @t44 @t172)) % 0.43/0.71 (define @t328 () (not (tptp.c_Type_Otyping @t97 @t173 @t98))) % 0.43/0.71 (define @t329 () (tptp.c_Type_Otyping @t97 @t222 @t98)) % 0.43/0.71 (define @t330 () (@list @t97 @t222 @t98 @t173)) % 0.43/0.71 (define @t331 () (@list @t97 @t173 @t98 @t172)) % 0.43/0.71 (define @t332 () (tptp.c_Lambda_Olift @t101 @t44)) % 0.43/0.71 (define @t333 () (@list @t101 @t44 @t161)) % 0.43/0.71 (define @t334 () (@var "V_ss" $$unsorted)) % 0.43/0.71 (define @t335 () (tptp.c_Lambda_OdB_OAbs @t101)) % 0.43/0.71 (define @t336 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t335) @t161) @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t337 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t101 @t161 @t1) @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t338 () (@list @t101 @t161 @t334)) % 0.43/0.71 (define @t339 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t340 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t161 @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t341 () (@list @t101 @t334 @t161)) % 0.43/0.71 (define @t342 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t335 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t343 () (= @t334 @t229)) % 0.43/0.71 (define @t344 () (not (= @t340 @t335))) % 0.43/0.71 (define @t345 () (@list @t161 @t334 @t101)) % 0.43/0.71 (define @t346 () (not (= @t335 @t340))) % 0.43/0.71 (define @t347 () (tptp.c_Lambda_OdB_OVar @t8)) % 0.43/0.71 (define @t348 () (not (= @t347 @t340))) % 0.43/0.71 (define @t349 () (@list @t8 @t161 @t334)) % 0.43/0.71 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t24 @t155 @t21)) % 0.43/0.71 (define @t351 () (@list @t21 @t5)) % 0.43/0.71 (define @t352 () (tptp.c_Lambda_OdB_OAbs tptp.v_r____)) % 0.43/0.71 (define @t353 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t352) tptp.v_a____)) % 0.43/0.71 (define @t354 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t353 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t355 () (@var "V_dB2_H" $$unsorted)) % 0.43/0.71 (define @t356 () (@var "V_dB1_H" $$unsorted)) % 0.43/0.71 (define @t357 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t356) @t355)) % 0.43/0.71 (define @t358 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t161) @t173)))) % 0.43/0.71 (define @t359 () (@list @t161 @t173)) % 0.43/0.71 (define @t360 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t361 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t162) @t173)) % 0.43/0.71 (define @t362 () (@list @t173 @t44)) % 0.43/0.71 (define @t363 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t243)) % 0.43/0.71 (define @t364 () (not @t289)) % 0.43/0.71 (define @t365 () (= @t101 @t161)) % 0.43/0.71 (define @t366 () (tptp.c_Lambda_OdB_OVar @t35)) % 0.43/0.71 (define @t367 () (tptp.c_HOL_Oord__class_Oless @t34 @t35 @t21)) % 0.43/0.71 (define @t368 () (not @t367)) % 0.43/0.71 (define @t369 () (not (tptp.class_Orderings_Oorder @t21))) % 0.43/0.71 (define @t370 () (not (tptp.class_Orderings_Opreorder @t21))) % 0.43/0.71 (define @t371 () (@var "V_dB_H" $$unsorted)) % 0.43/0.71 (define @t372 () (tptp.c_Lambda_OdB_OAbs @t371)) % 0.43/0.71 (define @t373 () (not (tptp.c_HOL_Oord__class_Oless @t35 @t35 @t21))) % 0.43/0.71 (define @t374 () (not (tptp.class_Orderings_Olinorder @t21))) % 0.43/0.71 (define @t375 () (@list @t21 @t34 @t35)) % 0.43/0.71 (define @t376 () (not (= @t264 @t357))) % 0.43/0.71 (define @t377 () (@list @t263 @t262 @t356 @t355)) % 0.43/0.71 (define @t378 () (= @t238 @t334)) % 0.43/0.71 (define @t379 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t335 @t238 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t162 @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.71 (define @t380 () (@list @t101 @t238 @t161 @t334)) % 0.43/0.71 (define @t381 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t98) @t199)) % 0.43/0.71 (define @t382 () (@var "V_env" $$unsorted)) % 0.43/0.71 (define @t383 () (@var "V_T_H" $$unsorted)) % 0.43/0.71 (define @t384 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst tptp.v_r____ tptp.v_a____ @t1) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.71 (define @t385 () (tptp.c_Type_Oshift @t97 @t44 tptp.v_T____ tptp.tc_Type_Otype)) % 0.43/0.71 (define @t386 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t243)))) % 0.43/0.71 (define @t387 () (not (tptp.c_Type_Otyping @t97 @t243 tptp.v_T____))) % 0.43/0.71 (define @t388 () (@list @t243 @t44 @t97 @t383)) % 0.43/0.71 (define @t389 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t44 tptp.tc_nat))) % 0.43/0.71 (define @t390 () (@var "V_type2_H" $$unsorted)) % 0.43/0.71 (define @t391 () (@var "V_type1_H" $$unsorted)) % 0.43/0.71 (define @t392 () (not (= @t256 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t391) @t390)))) % 0.43/0.71 (define @t393 () (@list @t255 @t254 @t391 @t390)) % 0.43/0.71 (define @t394 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t347 @t238 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t360))) % 0.43/0.71 (define @t395 () (@list @t8 @t238 @t5 @t334)) % 0.43/0.71 (define @t396 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t19 @t21))) % 0.43/0.71 (define @t397 () (@var "V_Ta" $$unsorted)) % 0.43/0.71 (define @t398 () (@var "V_T2" $$unsorted)) % 0.43/0.71 (define @t399 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t320))) % 0.43/0.71 (define @t400 () (@var "V_T1" $$unsorted)) % 0.43/0.71 (define @t401 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t400) @t398)))) % 0.43/0.71 (define @t402 () (@list @t400 @t398 @t173 @t243 @t44 @t97 @t397)) % 0.43/0.71 (define @t403 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.43/0.71 (define @t404 () (@var "V_T_H_H" $$unsorted)) % 0.43/0.71 (define @t405 () (not (tptp.c_Type_Otyping @t403 tptp.v_a____ @t404))) % 0.43/0.71 (define @t406 () (@list @t404)) % 0.43/0.71 (define @t407 () (forall @t406 (or tptp.v_thesis____ @t405))) % 0.43/0.71 (define @t408 () (@var "V_e_H" $$unsorted)) % 0.43/0.71 (define @t409 () (tptp.c_Type_Otyping @t403 @t353 tptp.v_Ua____)) % 0.43/0.71 (define @t410 () (@var "T_1" $$unsorted)) % 0.43/0.71 (define @t411 () (@var "T_2" $$unsorted)) % 0.43/0.71 (define @t412 () (tptp.tc_fun @t411 @t410)) % 0.43/0.71 (define @t413 () (@list @t411 @t410)) % 0.43/0.71 (define @t414 () (@var "V_Y" $$unsorted)) % 0.43/0.71 (define @t415 () (@var "V_X" $$unsorted)) % 0.43/0.71 (define @t416 () (forall @t406 @t405)) % 0.43/0.71 (define @t417 () (not @t409)) % 0.43/0.71 (define @t418 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 tptp.v_Ua____ @t403 @t352 tptp.v_a____)) % 0.43/0.71 (define @t419 () (tptp.c_Type_Otyping @t403 tptp.v_a____ @t418)) % 0.43/0.71 (define @t420 () (or @t419 @t417)) % 0.43/0.71 (define @t421 () (@list false false)) % 0.43/0.71 (assume @p1 (forall @t4 (= (tptp.c_Nat_Osize__class_Osize @t3 tptp.tc_Lambda_OdB) @t1))) % 0.43/0.71 (assume @p2 (forall @t4 (= (tptp.c_Lambda_OdB_OdB__size @t3) @t1))) % 0.43/0.71 (assume @p3 (forall @t12 (or (tptp.c_HOL_Oord__class_Oless @t11 @t8 tptp.tc_nat) @t10 @t7))) % 0.43/0.71 (assume @p4 (forall @t17 (or @t16 @t14))) % 0.43/0.71 (assume @p5 (forall @t12 (or @t13 (not @t16)))) % 0.43/0.71 (assume @p6 (forall (@list @t20 @t19 @t18) (or (tptp.hBOOL (tptp.hAPP @t20 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP @t20 (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 tptp.tc_nat))))))) % 0.43/0.71 (assume @p7 (forall @t28 (or @t27 @t26 @t23))) % 0.43/0.71 (assume @p8 (forall @t28 (or @t27 @t22 (not @t26)))) % 0.43/0.71 (assume @p9 (forall @t17 (or (= (tptp.hAPP @t30 @t11) @t8) @t13))) % 0.43/0.71 (assume @p10 (forall @t40 (or @t27 @t39 @t36 (not @t33)))) % 0.43/0.71 (assume @p11 (forall @t40 (or @t27 @t39 @t33 @t41))) % 0.43/0.71 (assume @p12 (forall @t49 (or @t48 (not @t47)))) % 0.43/0.71 (assume @p13 (forall @t50 (or @t47 (not @t48)))) % 0.43/0.71 (assume @p14 (forall @t17 (or (not (= @t15 @t1)) (not (= @t11 @t1)) @t51))) % 0.43/0.71 (assume @p15 (forall (@list @t42 @t5 @t43) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t42 @t5 tptp.tc_nat) @t43 tptp.tc_nat) @t52))) % 0.43/0.71 (assume @p16 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t53 tptp.tc_nat) @t11))) % 0.43/0.71 (assume @p17 (forall @t55 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t1 tptp.tc_nat) @t8))) % 0.43/0.71 (assume @p18 (forall @t55 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t8 tptp.tc_nat) @t1))) % 0.43/0.71 (assume @p19 (forall @t60 (or @t59 @t58 @t57))) % 0.43/0.71 (assume @p20 (forall @t62 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t19 @t21) @t24)))) % 0.43/0.71 (assume @p21 (forall @t62 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t24 @t21) @t19)))) % 0.43/0.71 (assume @p22 (forall @t60 (or @t61 @t57))) % 0.43/0.71 (assume @p23 (forall @t60 (or @t63 @t57))) % 0.43/0.71 (assume @p24 (forall (@list @t64 @t5 @t8) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t64 @t5 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t64 @t8 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t8 @t64 tptp.tc_nat)) @t14))) % 0.43/0.71 (assume @p25 (forall @t66 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t65 tptp.tc_nat) @t5))) % 0.43/0.71 (assume @p26 (forall @t28 (or @t61 (= (tptp.hAPP (tptp.hAPP @t67 @t25) @t18) @t19)))) % 0.43/0.71 (assume @p27 (forall (@list @t20 @t18 @t35) (or (not (tptp.hBOOL (tptp.hAPP @t20 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t68 @t35) @t18 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t20 @t35))))) % 0.43/0.71 (assume @p28 (forall (@list @t20 @t18 @t69) (or (not (tptp.hBOOL (tptp.hAPP @t20 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t68 @t69) @t18 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t20 @t69))))) % 0.43/0.71 (assume @p29 (forall @t12 (tptp.c_HOL_Oord__class_Oless @t11 @t54 tptp.tc_nat))) % 0.43/0.71 (assume @p30 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t70 tptp.tc_nat) @t1))) % 0.43/0.71 (assume @p31 (forall @t49 (= @t73 (tptp.c_HOL_Ominus__class_Ominus @t44 @t72 tptp.tc_nat)))) % 0.43/0.71 (assume @p32 (forall (@list @t21 @t74 @t34 @t35) (or @t63 (not (= (tptp.c_HOL_Ominus__class_Ominus @t74 @t34 @t21) @t56)) (= @t74 @t34)))) % 0.43/0.71 (assume @p33 (forall (@list @t21 @t35 @t32 @t31) (or @t63 (not (= @t56 @t37)) (= @t32 @t31)))) % 0.43/0.71 (assume @p34 (forall @t66 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t5 tptp.tc_nat) @t1))) % 0.43/0.71 (assume @p35 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t77 @t75 tptp.tc_nat) @t11))) % 0.43/0.71 (assume @p36 (forall @t82 (= (tptp.c_HOL_Ominus__class_Ominus @t81 @t80 tptp.tc_nat) @t11))) % 0.43/0.71 (assume @p37 (forall @t84 (or @t59 @t58 (not (= @t38 @t24)) @t83))) % 0.43/0.71 (assume @p38 (forall @t28 (or @t61 @t86 @t85))) % 0.43/0.71 (assume @p39 (forall @t28 (or @t63 @t86 @t85))) % 0.43/0.71 (assume @p40 (forall @t49 (= @t73 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t44 @t43 tptp.tc_nat) @t42 tptp.tc_nat)))) % 0.43/0.71 (assume @p41 (forall @t88 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t54 @t5 tptp.tc_nat) @t87 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t11 @t43 tptp.tc_nat)))) % 0.43/0.71 (assume @p42 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t53 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t89 @t5 tptp.tc_nat)))) % 0.43/0.71 (assume @p43 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t90 @t5 tptp.tc_nat) @t8))) % 0.43/0.71 (assume @p44 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t70 @t5 tptp.tc_nat) @t8))) % 0.43/0.71 (assume @p45 (forall @t28 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t92 @t18 @t21) @t19)))) % 0.43/0.71 (assume @p46 (forall (@list @t5 @t44) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t5 @t93 tptp.tc_nat) @t5 tptp.tc_nat) @t7))) % 0.43/0.71 (assume @p47 (forall @t66 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t5 @t94 tptp.tc_nat)) @t5) @t7))) % 0.43/0.71 (assume @p48 (forall @t100 (or (= @t99 (tptp.hAPP @t97 @t96)) @t95))) % 0.43/0.71 (assume @p49 (= @t65 @t94)) % 0.43/0.71 (assume @p50 (forall @t105 (or @t104 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t35) @t34)))))) % 0.43/0.71 (assume @p51 (forall (@list @t101 @t21 @t106) (not (tptp.c_ListOrder_Ostep1 @t101 @t107 @t106 @t21)))) % 0.43/0.71 (assume @p52 (forall (@list @t101 @t106 @t21) (not (tptp.c_ListOrder_Ostep1 @t101 @t106 @t107 @t21)))) % 0.43/0.71 (assume @p53 (forall @t12 (or @t110 @t109 @t108))) % 0.43/0.71 (assume @p54 (forall @t12 (or @t110 @t112 @t111))) % 0.43/0.71 (assume @p55 (forall (@list @t115 @t19 @t113 @t21) (= (tptp.c_List_Ofoldl @t115 @t19 @t114 @t21 @t113) @t19))) % 0.43/0.71 (assume @p56 (forall @t118 (or @t117 (not (= @t116 @t24))))) % 0.43/0.71 (assume @p57 (forall @t118 (= (tptp.c_Predicate_Oconversep @t119 @t21 @t21) @t119))) % 0.43/0.71 (assume @p58 (forall @t12 (or @t51 @t13 (not @t120)))) % 0.43/0.71 (assume @p59 (forall @t12 (or @t51 @t123 @t121))) % 0.43/0.71 (assume @p60 (forall @t17 (or (= @t5 @t8) @t123 @t121))) % 0.43/0.71 (assume @p61 (= @t94 @t124)) % 0.43/0.71 (assume @p62 (forall (@list @t21 @t19 @t125 @t18 @t69) (or @t129 (tptp.c_HOL_Oord__class_Oless @t128 @t127 @t21) (not (tptp.c_HOL_Oord__class_Oless @t125 @t69 @t21)) @t23))) % 0.43/0.71 (assume @p63 (forall (@list @t44 @t43 @t42 @t64) (or (tptp.c_HOL_Oord__class_Oless @t46 (tptp.hAPP @t71 @t64) tptp.tc_nat) @t130 @t95))) % 0.43/0.71 (assume @p64 (forall @t133 (not (= @t132 @t1)))) % 0.43/0.71 (assume @p65 (forall @t55 (not (= @t54 @t1)))) % 0.43/0.71 (assume @p66 (forall @t66 (tptp.c_HOL_Oord__class_Oless @t5 @t53 tptp.tc_nat))) % 0.43/0.71 (assume @p67 (forall @t136 @t135)) % 0.43/0.71 (assume @p68 (forall @t50 (or (tptp.c_HOL_Oord__class_Oless @t93 @t43 tptp.tc_nat) @t52 @t95))) % 0.43/0.71 (assume @p69 (forall (@list @t21 @t106) (or @t138 (= (tptp.c_List_Ofoldl @t67 @t24 @t106 @t21 @t21) @t137)))) % 0.43/0.71 (assume @p70 (forall @t62 (or @t139 (tptp.c_HOL_Oord__class_Oless @t19 (tptp.hAPP @t91 @t116) @t21)))) % 0.43/0.71 (assume @p71 (forall (@list @t101 @t21 @t113) (= (tptp.c_Predicate_Oconversep @t140 @t113 @t21) @t101))) % 0.43/0.71 (assume @p72 (forall (@list @t44 @t42) (not (tptp.c_HOL_Oord__class_Oless @t141 @t44 tptp.tc_nat)))) % 0.43/0.71 (assume @p73 (forall (@list @t42 @t44) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t71 @t44) @t44 tptp.tc_nat)))) % 0.43/0.71 (assume @p74 (forall @t66 (not (= @t53 @t5)))) % 0.43/0.71 (assume @p75 (forall @t66 (not (= @t5 @t53)))) % 0.43/0.71 (assume @p76 (forall @t144 (or @t129 @t143 @t23))) % 0.43/0.71 (assume @p77 (forall @t144 (or @t145 @t143 @t23))) % 0.43/0.71 (assume @p78 (forall @t146 (or @t145 @t22 (not @t143)))) % 0.43/0.71 (assume @p79 (forall @t150 (or @t129 @t149 @t23))) % 0.43/0.71 (assume @p80 (forall @t150 (or @t145 @t149 @t23))) % 0.43/0.71 (assume @p81 (forall @t146 (or @t145 @t22 (not @t149)))) % 0.43/0.71 (assume @p82 (forall @t50 (or (tptp.c_HOL_Oord__class_Oless @t46 @t72 tptp.tc_nat) @t95))) % 0.43/0.71 (assume @p83 (forall @t88 (or @t13 (not @t151)))) % 0.43/0.71 (assume @p84 (forall @t82 (or @t151 @t14))) % 0.43/0.71 (assume @p85 (= @t153 @t94)) % 0.43/0.71 (assume @p86 (forall @t12 (or @t13 (not @t154)))) % 0.43/0.71 (assume @p87 (forall @t12 (or @t120 @t14))) % 0.43/0.71 (assume @p88 (forall @t158 (or @t157 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t90 @t21) (tptp.hAPP (tptp.hAPP @t67 @t156) @t155))))) % 0.43/0.71 (assume @p89 (forall @t12 (or @t159 @t109 @t108))) % 0.43/0.71 (assume @p90 (forall @t12 (or @t159 @t112 @t111))) % 0.43/0.71 (assume @p91 (forall (@list @t161 @t43) (= (tptp.c_Lambda_Olift @t162 @t43) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t161 @t160))))) % 0.43/0.71 (assume @p92 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t164 @t125))) @t163))) % 0.43/0.71 (assume @p93 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t168 @t125))) (not (tptp.hBOOL (tptp.hAPP @t165 @t18)))))) % 0.43/0.71 (assume @p94 (forall (@list @t101 @t34 @t21 @t19) (or (tptp.c_Wellfounded_Oaccp @t101 @t34 @t21) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t34) @t19))) @t170))) % 0.43/0.71 (assume @p95 (forall (@list @t101 @t19 @t21 @t18) (or @t169 @t163 (not @t171)))) % 0.43/0.71 (assume @p96 (forall @t177 (or (tptp.c_Type_Otypings @t97 @t172 @t176) @t175))) % 0.43/0.71 (assume @p97 (forall @t177 (or (tptp.c_Type_Otypings @t97 @t172 @t178) @t175))) % 0.43/0.71 (assume @p98 (forall @t182 (or (= @t181 (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t173 @t179) @t180 @t42)) (not (tptp.c_HOL_Oord__class_Oless @t42 @t179 tptp.tc_nat))))) % 0.43/0.71 (assume @p99 (forall @t182 (or (= @t181 (tptp.c_Lambda_Osubst @t185 @t180 @t183)) @t184))) % 0.43/0.71 (assume @p100 (forall @t189 (or (= @t188 (tptp.c_Lambda_OdB_OVar @t179)) @t186))) % 0.43/0.71 (assume @p101 (forall (@list @t98 @t97 @t173) (or (= @t98 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t193) @t192)) @t191))) % 0.43/0.71 (assume @p102 (forall (@list @t199 @t98 @t97 @t194 @t44 @t172 @t197) (or (= @t199 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t201 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t200 @t198 @t196))) % 0.43/0.71 (assume @p103 (forall @t62 (or @t206 @t205 @t203))) % 0.43/0.71 (assume @p104 (forall @t62 (or @t206 @t202 (not @t205)))) % 0.43/0.71 (assume @p105 (forall @t207 (or @t139 (not (tptp.c_HOL_Oord__class_Oless @t156 @t24 @t21))))) % 0.43/0.71 (assume @p106 (forall @t28 (or @t210 (tptp.c_HOL_Oord__class_Oless @t92 @t24 @t21) (not (tptp.c_HOL_Oord__class_Oless @t18 @t24 @t21)) @t209))) % 0.43/0.71 (assume @p107 (forall @t62 (or @t206 @t211 @t209))) % 0.43/0.71 (assume @p108 (forall @t62 (or @t206 @t208 @t212))) % 0.43/0.71 (assume @p109 (forall @t62 (or @t213 @t208 @t212))) % 0.43/0.71 (assume @p110 (forall @t62 (or @t213 @t211 @t209))) % 0.43/0.71 (assume @p111 (forall @t118 (or @t139 (not (tptp.c_HOL_Oord__class_Oless @t116 @t24 @t21))))) % 0.43/0.71 (assume @p112 (forall @t28 (or @t210 (tptp.c_HOL_Oord__class_Oless @t24 @t92 @t21) (not (tptp.c_HOL_Oord__class_Oless @t24 @t18 @t21)) @t203))) % 0.43/0.71 (assume @p113 (forall @t118 (or @t139 (tptp.c_HOL_Oord__class_Oless @t24 @t116 @t21)))) % 0.43/0.71 (assume @p114 (forall @t214 (or @t139 (tptp.c_HOL_Oord__class_Oless @t18 @t128 @t21) (not (tptp.c_HOL_Oord__class_Oless @t18 @t125 @t21)) @t203))) % 0.43/0.71 (assume @p115 (forall @t118 (or @t157 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t21) @t24)))) % 0.43/0.71 (assume @p116 (forall @t158 (or @t139 @t215 @t14))) % 0.43/0.71 (assume @p117 (forall @t158 (or @t139 @t13 (not @t215)))) % 0.43/0.71 (assume @p118 (forall @t12 (or @t216 @t10))) % 0.43/0.71 (assume @p119 (forall @t12 (or @t216 @t7))) % 0.43/0.71 (assume @p120 (forall @t136 (tptp.c_HOL_Oord__class_Oless @t1 @t134 tptp.tc_nat))) % 0.43/0.71 (assume @p121 (forall @t66 (tptp.c_HOL_Oord__class_Oless @t1 @t53 tptp.tc_nat))) % 0.43/0.71 (assume @p122 (forall @t17 (or @t6 @t9 (not @t216)))) % 0.43/0.71 (assume @p123 (forall @t66 (or @t111 (not (tptp.c_HOL_Oord__class_Oless @t5 @t94 tptp.tc_nat))))) % 0.43/0.71 (assume @p124 (tptp.c_HOL_Oord__class_Oless @t1 @t94 tptp.tc_nat)) % 0.43/0.71 (assume @p125 (forall (@list @t21 @t35 @t217) (or @t138 (= (tptp.hAPP @t218 (tptp.c_List_Ofoldl @t67 @t24 @t217 @t21 @t21)) (tptp.c_List_Ofoldl @t67 @t35 @t217 @t21 @t21))))) % 0.43/0.71 (assume @p126 (forall (@list @t161 @t173 @t219 @t222) (or (tptp.hBOOL (tptp.hAPP @t227 (tptp.hAPP @t224 @t222))) @t223 @t221))) % 0.43/0.71 (assume @p127 (forall (@list @t161 @t173 @t219) (or (tptp.hBOOL (tptp.hAPP @t227 (tptp.hAPP @t224 @t173))) @t221))) % 0.43/0.71 (assume @p128 (forall (@list @t161 @t173 @t222) (or (tptp.hBOOL (tptp.hAPP @t227 (tptp.hAPP @t225 @t222))) @t223))) % 0.43/0.71 (assume @p129 (forall (@list @t161 @t219) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t162) (tptp.c_Lambda_OdB_OAbs @t219))) @t221))) % 0.43/0.71 (assume @p130 (forall (@list @t101 @t161 @t173) (or (not (= @t228 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t173 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t228 @t173)))) % 0.43/0.71 (assume @p131 (forall (@list @t101 @t161) (= @t228 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t228 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.71 (assume @p132 (forall @t232 (or @t231 @t230))) % 0.43/0.71 (assume @p133 (forall @t236 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t235) @t234)) @t233))) % 0.43/0.71 (assume @p134 (forall @t232 (or @t231 @t233))) % 0.43/0.71 (assume @p135 (forall (@list @t238 @t5 @t237) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t238 @t242 tptp.tc_Lambda_OdB) @t241))) % 0.43/0.71 (assume @p136 (forall (@list @t97 @t243 @t98 @t173) (or (tptp.c_Type_Otyping @t97 @t243 @t247) @t246))) % 0.43/0.71 (assume @p137 (forall @t250 (or (= @t249 (tptp.c_Lambda_OdB_OVar @t96)) @t95))) % 0.43/0.71 (assume @p138 (forall @t253 (or (= @t252 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t44 @t65 tptp.tc_nat))) (not @t251)))) % 0.43/0.71 (assume @p139 (forall @t257 (= (tptp.c_Type_Otype_Otype__size @t256) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Type_Otype_Otype__size @t255)) (tptp.c_Type_Otype_Otype__size @t254))) @t94)))) % 0.43/0.71 (assume @p140 (forall @t257 (= (tptp.c_Nat_Osize__class_Osize @t256 tptp.tc_Type_Otype) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Nat_Osize__class_Osize @t255 tptp.tc_Type_Otype)) (tptp.c_Nat_Osize__class_Osize @t254 tptp.tc_Type_Otype))) @t94)))) % 0.43/0.71 (assume @p141 (forall @t12 (or (= @t90 (tptp.c_Suc (tptp.hAPP (tptp.hAPP @t29 @t89) @t5))) @t112))) % 0.43/0.71 (assume @p142 (forall @t66 (or (= @t258 @t5) @t7))) % 0.43/0.71 (assume @p143 (forall @t66 (or (= @t5 @t258) @t7))) % 0.43/0.71 (assume @p144 (forall @t261 (= (tptp.c_Nat_Osize__class_Osize @t260 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Nat_Osize__class_Osize @t259 tptp.tc_Lambda_OdB)) @t94)))) % 0.43/0.71 (assume @p145 (forall @t261 (= (tptp.c_Lambda_OdB_OdB__size @t260) (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Lambda_OdB_OdB__size @t259)) @t94)))) % 0.43/0.71 (assume @p146 (forall @t265 (= (tptp.c_Nat_Osize__class_Osize @t264 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Nat_Osize__class_Osize @t263 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t262 tptp.tc_Lambda_OdB))) @t94)))) % 0.43/0.71 (assume @p147 (forall @t265 (= (tptp.c_Lambda_OdB_OdB__size @t264) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Lambda_OdB_OdB__size @t263)) (tptp.c_Lambda_OdB_OdB__size @t262))) @t94)))) % 0.43/0.71 (assume @p148 (forall (@list @t21 @t106 @t19) (or @t267 (= (tptp.c_List_Ofoldr @t67 @t106 @t19 @t21 @t21) @t266)))) % 0.43/0.71 (assume @p149 (forall @t269 (or (not (= (tptp.c_Suc @t2) @t132)) @t268))) % 0.43/0.71 (assume @p150 (forall (@list @t35 @t34) (or (not (= @t134 (tptp.c_Suc @t34))) @t83))) % 0.43/0.71 (assume @p151 (forall @t62 (or @t206 (not (= @t204 @t24)) @t270))) % 0.43/0.71 (assume @p152 (forall @t12 (or @t271 @t111))) % 0.43/0.71 (assume @p153 (forall @t12 (or @t271 @t112))) % 0.43/0.71 (assume @p154 (forall (@list @t35 @t19) (or (not (= @t35 (tptp.hAPP @t272 @t19))) (= @t19 @t1)))) % 0.43/0.71 (assume @p155 (forall @t12 (or (not (= @t90 @t8)) @t111))) % 0.43/0.71 (assume @p156 (forall (@list @t21 @t35 @t19) (or @t59 @t58 (not (= @t35 (tptp.hAPP @t218 @t19))) @t270))) % 0.43/0.71 (assume @p157 (forall @t158 (or (not (tptp.class_Nat_Osemiring__char__0 @t21)) (not (= @t156 @t155)) @t51))) % 0.43/0.71 (assume @p158 (forall (@list @t21 @t35 @t34 @t217) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t21)) (= (tptp.c_List_Ofoldl @t67 @t273 @t217 @t21 @t21) (tptp.hAPP @t218 (tptp.c_List_Ofoldl @t67 @t34 @t217 @t21 @t21)))))) % 0.43/0.71 (assume @p159 (forall @t84 (or @t275 (= @t273 (tptp.hAPP @t274 @t35))))) % 0.43/0.71 (assume @p160 (forall (@list @t8 @t64 @t43 @t5) (or (not (= (tptp.hAPP @t76 @t64) @t80)) @t130 @t13))) % 0.43/0.71 (assume @p161 (forall @t12 (= @t90 @t70))) % 0.43/0.71 (assume @p162 (forall @t28 (or @t277 (= @t92 @t276)))) % 0.43/0.71 (assume @p163 (forall (@list @t21 @t19 @t125) (or @t275 (= @t128 @t148)))) % 0.43/0.71 (assume @p164 (forall (@list @t44 @t8 @t42) (or (tptp.c_HOL_Oord__class_Oless @t44 (tptp.hAPP @t76 @t42) tptp.tc_nat) @t95))) % 0.43/0.71 (assume @p165 (forall (@list @t44 @t42 @t8) (or (tptp.c_HOL_Oord__class_Oless @t44 (tptp.hAPP @t71 @t8) tptp.tc_nat) @t95))) % 0.43/0.71 (assume @p166 (forall @t50 (or @t186 (not (tptp.c_HOL_Oord__class_Oless @t141 @t43 tptp.tc_nat))))) % 0.43/0.71 (assume @p167 (forall @t282 (or @t281 (not (tptp.c_HOL_Oord__class_Oless @t35 @t278 tptp.tc_nat))))) % 0.43/0.71 (assume @p168 (forall @t282 (or @t281 (not @t283)))) % 0.43/0.71 (assume @p169 (forall (@list @t8 @t35) (tptp.c_HOL_Oord__class_Oless @t8 (tptp.c_Suc (tptp.hAPP @t76 @t35)) tptp.tc_nat))) % 0.43/0.71 (assume @p170 (forall @t284 (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_Suc (tptp.hAPP @t76 @t44)) tptp.tc_nat))) % 0.43/0.71 (assume @p171 (forall @t284 (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_Suc (tptp.hAPP @t45 @t8)) tptp.tc_nat))) % 0.43/0.71 (assume @p172 (forall @t55 (not (= @t1 @t54)))) % 0.43/0.71 (assume @p173 (forall @t133 (not (= @t1 @t132)))) % 0.43/0.71 (assume @p174 (forall @t12 (= @t286 @t285))) % 0.43/0.71 (assume @p175 (forall @t12 (= @t287 @t285))) % 0.43/0.71 (assume @p176 (forall @t290 (or @t289 (not (tptp.c_Wellfounded_Oaccp @t288 @t101 tptp.tc_Lambda_OdB))))) % 0.43/0.71 (assume @p177 (forall (@list @t173) (or (tptp.c_Wellfounded_Oaccp @t288 @t173 tptp.tc_Lambda_OdB) @t291))) % 0.43/0.71 (assume @p178 (forall (@list @t101 @t21 @t35 @t278 @t34) (or (tptp.hBOOL (tptp.hAPP @t103 @t278)) (not (tptp.hBOOL (tptp.hAPP @t292 @t278))) (not @t104)))) % 0.43/0.71 (assume @p179 (forall @t294 (or @t171 @t170 @t293))) % 0.43/0.71 (assume @p180 (forall @t294 (or @t171 @t293 @t170))) % 0.43/0.71 (assume @p181 (forall (@list @t101 @t21 @t35) (tptp.hBOOL (tptp.hAPP @t103 @t35)))) % 0.43/0.71 (assume @p182 (forall (@list @t101 @t21 @t19) (tptp.hBOOL (tptp.hAPP @t165 @t19)))) % 0.43/0.71 (assume @p183 (forall (@list @t295 @t21) (tptp.c_List_Olistsp @t295 @t107 @t21))) % 0.43/0.71 (assume @p184 (= @t124 @t94)) % 0.43/0.71 (assume @p185 (forall @t66 (= @t53 (tptp.hAPP (tptp.hAPP @t29 @t65) @t5)))) % 0.43/0.71 (assume @p186 (forall @t66 (= @t53 (tptp.hAPP @t30 @t65)))) % 0.43/0.71 (assume @p187 (forall @t118 (or @t206 (= (tptp.hAPP @t296 @t24) @t24)))) % 0.43/0.71 (assume @p188 (= (tptp.hAPP @t152 @t1) @t1)) % 0.43/0.71 (assume @p189 (forall @t298 (or @t275 (= @t297 (tptp.hAPP (tptp.hAPP @t67 @t273) @t278))))) % 0.43/0.71 (assume @p190 (forall @t298 (or @t63 (= @t297 (tptp.hAPP @t274 @t299))))) % 0.43/0.71 (assume @p191 (forall @t282 (= (tptp.hAPP @t272 @t280) (tptp.hAPP @t279 @t300)))) % 0.43/0.71 (assume @p192 (forall @t88 (= (tptp.hAPP (tptp.hAPP @t29 @t90) @t43) (tptp.hAPP @t76 @t75)))) % 0.43/0.71 (assume @p193 (forall @t146 (or @t277 @t304))) % 0.43/0.71 (assume @p194 (forall @t146 (or @t277 (= @t301 (tptp.hAPP @t126 @t128))))) % 0.43/0.71 (assume @p195 (forall @t146 (or @t267 @t304))) % 0.43/0.71 (assume @p196 (forall @t308 (or @t275 (= @t307 (tptp.hAPP @t305 @t69))))) % 0.43/0.71 (assume @p197 (forall @t146 (or @t275 (= @t303 (tptp.hAPP @t305 @t18))))) % 0.43/0.71 (assume @p198 (forall @t308 (or @t275 (= @t307 (tptp.hAPP @t147 (tptp.hAPP @t91 @t69)))))) % 0.43/0.71 (assume @p199 (forall @t146 (or @t275 @t304))) % 0.43/0.71 (assume @p200 (forall (@list @t101 @t21 @t113 @t18 @t19) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t18) @t19)) @t163))) % 0.43/0.71 (assume @p201 (forall (@list @t101 @t309 @t310 @t21 @t113) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t309) @t310)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t310) @t309)))))) % 0.43/0.71 (assume @p202 (forall (@list @t101 @t21 @t113 @t19 @t18) (or @t312 (not @t311)))) % 0.43/0.71 (assume @p203 (forall (@list @t101 @t18 @t19 @t21 @t113) (or @t311 (not @t312)))) % 0.43/0.71 (assume @p204 (forall (@list @t21 @t35 @t34 @t278 @t243) (or @t63 (not (= @t297 (tptp.hAPP @t274 @t243))) (= @t299 @t243)))) % 0.43/0.71 (assume @p205 (forall (@list @t115 @t113 @t19 @t21) (= (tptp.c_List_Ofoldr @t115 @t114 @t19 @t113 @t21) @t19))) % 0.43/0.71 (assume @p206 (= @t94 @t153)) % 0.43/0.71 (assume @p207 (forall @t118 (or @t157 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t65 @t21) @t116)))) % 0.43/0.71 (assume @p208 (forall @t118 (or @t117 (not (= @t24 @t116))))) % 0.43/0.71 (assume @p209 (forall @t12 (or @t110 @t109 @t111))) % 0.43/0.71 (assume @p210 (forall @t12 (or @t110 @t112 @t108))) % 0.43/0.71 (assume @p211 (forall @t207 (or @t157 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t54 @t21) (tptp.hAPP @t313 @t156))))) % 0.43/0.71 (assume @p212 (forall @t12 (= @t286 @t287))) % 0.43/0.71 (assume @p213 (forall (@list @t101 @t21 @t34 @t35) (or @t315 (not @t314)))) % 0.43/0.71 (assume @p214 (forall @t105 (or @t314 (not @t315)))) % 0.43/0.71 (assume @p215 (forall (@list @t21 @t19 @t106) (or @t138 (= @t266 (tptp.hAPP @t91 @t137))))) % 0.43/0.71 (assume @p216 (forall @t12 (or @t154 (= @t54 @t5) @t14))) % 0.43/0.71 (assume @p217 (forall @t282 (or (not (= (tptp.hAPP @t272 @t34) @t300)) @t316))) % 0.43/0.71 (assume @p218 (forall @t78 (or (not (= @t77 @t75)) @t51))) % 0.43/0.71 (assume @p219 (forall @t82 (or (not (= @t81 @t80)) @t51))) % 0.43/0.71 (assume @p220 (forall @t298 (or @t59 @t58 (not (= @t273 @t299)) @t316))) % 0.43/0.71 (assume @p221 (forall @t146 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t21)) @t318 @t317))) % 0.43/0.71 (assume @p222 (forall @t146 (or @t319 @t318 @t317))) % 0.43/0.71 (assume @p223 (forall @t214 (or @t319 (not (= @t276 @t148)) @t317))) % 0.43/0.71 (assume @p224 (forall (@list @t173 @t237 @t44 @t42 @t243) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t173 (tptp.c_Lambda_Olift @t237 @t44) (tptp.c_Suc @t42)) (tptp.c_Lambda_Osubst @t243 @t237 @t42) @t44) (tptp.c_Lambda_Osubst @t320 @t237 @t42)) @t184))) % 0.43/0.71 (assume @p225 (forall @t12 (or @t159 @t109 @t111))) % 0.43/0.71 (assume @p226 (forall @t12 (or @t159 @t112 @t108))) % 0.43/0.71 (assume @p227 (forall (@list @t21 @t19 @t18 @t125 @t69) (or @t275 (= (tptp.hAPP @t302 @t306) (tptp.hAPP @t305 @t127))))) % 0.43/0.71 (assume @p228 (forall @t136 (or @t321 @t135))) % 0.43/0.71 (assume @p229 (forall @t12 (or @t14 @t123))) % 0.43/0.71 (assume @p230 (forall @t17 (or @t122 @t13))) % 0.43/0.71 (assume @p231 (forall (@list @t173 @t44 @t43) (or (= (tptp.c_Lambda_Olift @t185 @t87) (tptp.c_Lambda_Olift @t322 @t44)) (not (tptp.c_HOL_Oord__class_Oless @t44 @t160 tptp.tc_nat))))) % 0.43/0.71 (assume @p232 (forall @t118 (or @t139 (tptp.c_HOL_Oord__class_Oless @t24 (tptp.hAPP @t313 @t116) @t21)))) % 0.43/0.71 (assume @p233 (forall (@list @t101 @t21) (= (tptp.c_Transitive__Closure_Ortranclp @t102 @t21) @t102))) % 0.43/0.71 (assume @p234 (forall @t60 (or @t275 (= (tptp.hAPP @t296 @t35) @t35)))) % 0.43/0.71 (assume @p235 (forall @t62 (or @t277 @t323))) % 0.43/0.71 (assume @p236 (forall @t136 (= @t35 (tptp.hAPP @t272 @t1)))) % 0.43/0.71 (assume @p237 (forall @t66 (= (tptp.hAPP @t152 @t5) @t5))) % 0.43/0.71 (assume @p238 (forall @t55 (= (tptp.hAPP @t76 @t1) @t8))) % 0.43/0.71 (assume @p239 (forall @t60 (or @t59 @t58 (= @t35 (tptp.hAPP @t218 @t24))))) % 0.43/0.71 (assume @p240 (forall @t62 (or @t277 @t324))) % 0.43/0.71 (assume @p241 (forall @t62 (or @t138 @t323))) % 0.43/0.71 (assume @p242 (forall @t62 (or @t138 @t324))) % 0.43/0.71 (assume @p243 (forall @t62 (or @t275 @t324))) % 0.43/0.71 (assume @p244 (forall @t62 (or @t275 @t323))) % 0.43/0.71 (assume @p245 (forall (@list @t35 @t5) (or (tptp.c_HOL_Oord__class_Oless @t134 @t53 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t35 @t5 tptp.tc_nat))))) % 0.43/0.71 (assume @p246 (forall @t12 (or @t13 (not @t325)))) % 0.43/0.71 (assume @p247 (forall @t12 (or @t325 @t14))) % 0.43/0.71 (assume @p248 (forall (@list @t173 @t161 @t43) (= (tptp.c_Lambda_Osubst @t190 @t161 @t43) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst @t173 (tptp.c_Lambda_Olift @t161 @t1) @t160))))) % 0.43/0.71 (assume @p249 (forall (@list @t97 @t194 @t98 @t199 @t44 @t172 @t197) (or (tptp.c_Type_Otypings @t97 @t194 @t201) @t200 @t198 @t196))) % 0.43/0.71 (assume @p250 (forall (@list @t97 @t172 @t98 @t44) (or (tptp.c_Type_Otypings @t97 @t172 @t327) @t326))) % 0.43/0.71 (assume @p251 (forall @t330 (or @t329 @t328 @t223))) % 0.43/0.71 (assume @p252 (forall @t331 (or (tptp.c_Type_Otyping @t97 @t173 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t178 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t175))) % 0.43/0.71 (assume @p253 (forall (@list @t97 @t173 @t172 @t98 @t197) (or @t174 @t198 (not (tptp.c_Type_Otyping @t97 @t173 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t197 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.43/0.71 (assume @p254 (forall @t331 (or (tptp.c_Type_Otyping @t97 @t173 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t176 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t175))) % 0.43/0.71 (assume @p255 (forall @t333 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t332) @t180)) @t233))) % 0.43/0.71 (assume @p256 (forall (@list @t97 @t44 @t199 @t21 @t98) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t97 @t44 @t199 @t21) @t1 @t98 @t21) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t97 @t1 @t98 @t21) @t93 @t199 @t21)))) % 0.43/0.71 (assume @p257 (forall (@list @t97 @t98 @t173) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t97 @t1 @t193 tptp.tc_Type_Otype) @t173 @t192) @t191))) % 0.43/0.71 (assume @p258 (forall (@list @t97 @t173 @t98) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t97 @t1 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t97 @t173) tptp.tc_Type_Otype) @t173 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t97 @t173)) @t191))) % 0.43/0.71 (assume @p259 (forall (@list @t97 @t44 @t98 @t172) (or (tptp.c_Type_Otyping @t97 @t187 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t327 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t326))) % 0.43/0.71 (assume @p260 (forall @t338 (or (not (tptp.c_Wellfounded_Oaccp @t288 @t337 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t288 @t161 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t288 @t336 tptp.tc_Lambda_OdB)))) % 0.43/0.71 (assume @p261 (forall (@list @t101 @t238 @t334) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t238 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t339)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t238 @t334 tptp.tc_Lambda_OdB))))) % 0.43/0.71 (assume @p262 (forall @t341 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t339) @t340)) @t233))) % 0.43/0.71 (assume @p263 (forall @t290 (= @t342 @t335))) % 0.43/0.71 (assume @p264 (forall @t345 (or @t344 @t343))) % 0.43/0.71 (assume @p265 (forall @t290 (= @t335 @t342))) % 0.43/0.71 (assume @p266 (forall @t338 (or @t346 @t343))) % 0.43/0.71 (assume @p267 (forall @t349 (or @t348 @t343))) % 0.43/0.71 (assume @p268 (forall @t55 (= @t347 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t347 @t229 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.71 (assume @p269 (forall (@list @t97 @t173 @t98 @t243) (or (tptp.c_Type_Otyping @t97 @t173 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t247) @t98)) @t246))) % 0.43/0.71 (assume @p270 (forall @t351 (or @t139 @t350 @t7))) % 0.43/0.71 (assume @p271 (forall @t351 (or @t139 @t6 (not @t350)))) % 0.43/0.71 (assume @p272 (forall (@list @t237 @t5 @t238) (or (= @t237 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t242 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t241))) % 0.43/0.71 (assume @p273 (forall (@list @t5 @t238) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t240)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t238 tptp.tc_Lambda_OdB))))) % 0.43/0.71 (assume @p274 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t354 tptp.v_T_Ha______)) % 0.43/0.71 (assume @p275 (forall (@list @t356 @t355 @t2) (not (= @t357 @t3)))) % 0.43/0.71 (assume @p276 (forall @t359 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t162) @t190)) @t358))) % 0.43/0.71 (assume @p277 (forall (@list @t161 @t173 @t5 @t334) (not (= @t361 @t360)))) % 0.43/0.71 (assume @p278 (forall @t362 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t244 @t187))) @t291))) % 0.43/0.71 (assume @p279 (forall @t333 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t332) @t180)) @t230))) % 0.43/0.71 (assume @p280 (forall @t189 (or (= @t188 @t187) (not @t186)))) % 0.43/0.71 (assume @p281 (forall (@list @t173 @t43 @t161) (= (tptp.c_Lambda_Osubst @t322 @t161 @t43) @t173))) % 0.43/0.71 (assume @p282 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.43/0.71 (assume @p283 (forall (@list @t161 @t243 @t173) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t225 @t243)) @t245)) @t358))) % 0.43/0.71 (assume @p284 (forall (@list @t243 @t161 @t173) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t363 @t161)) (tptp.hAPP @t363 @t173))) @t358))) % 0.43/0.71 (assume @p285 (forall @t290 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t335)) @t364))) % 0.43/0.71 (assume @p286 (forall (@list @t101 @t172 @t161) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t172 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t161 @t172 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t365))) % 0.43/0.71 (assume @p287 (forall @t338 (or @t346 (= @t335 @t161)))) % 0.43/0.71 (assume @p288 (forall (@list @t35 @t161) (or @t321 (= (tptp.c_Lambda_Osubst @t366 @t161 @t35) @t161)))) % 0.43/0.71 (assume @p289 (forall @t66 (not (tptp.c_HOL_Oord__class_Oless @t5 @t1 tptp.tc_nat)))) % 0.43/0.71 (assume @p290 (forall @t55 (not (tptp.c_HOL_Oord__class_Oless @t8 @t1 tptp.tc_nat)))) % 0.43/0.71 (assume @p291 (forall (@list @t21 @t278 @t35 @t34) (or @t369 (tptp.c_HOL_Oord__class_Oless @t278 @t35 @t21) (not (tptp.c_HOL_Oord__class_Oless @t278 @t34 @t21)) @t368))) % 0.43/0.71 (assume @p292 (forall (@list @t21 @t35 @t278 @t34) (or @t370 (tptp.c_HOL_Oord__class_Oless @t35 @t278 @t21) (not (tptp.c_HOL_Oord__class_Oless @t34 @t278 @t21)) @t41))) % 0.43/0.71 (assume @p293 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.43/0.71 (assume @p294 (forall @t253 (or (= @t252 @t187) (= @t44 @t43) @t251))) % 0.43/0.71 (assume @p295 (forall @t236 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t235) @t234)) @t230))) % 0.43/0.71 (assume @p296 (forall (@list @t161 @t173 @t43) (= (tptp.c_Lambda_Olift @t226 @t43) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t161 @t43)) @t322)))) % 0.43/0.71 (assume @p297 (forall @t66 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t239)))) % 0.43/0.71 (assume @p298 (forall (@list @t2 @t371) (not (= @t3 @t372)))) % 0.43/0.71 (assume @p299 (forall @t338 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t336)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t161))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t337)))))) % 0.43/0.71 (assume @p300 (forall @t362 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t185)) @t291))) % 0.43/0.71 (assume @p301 (forall (@list @t5 @t172 @t101 @t334) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t172 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t335 @t334 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.43/0.71 (assume @p302 (forall (@list @t259 @t371) (or (not (= @t260 @t372)) (= @t259 @t371)))) % 0.43/0.71 (assume @p303 (forall (@list @t2 @t356 @t355) (not (= @t3 @t357)))) % 0.43/0.71 (assume @p304 (forall @t349 (or @t348 (= @t347 @t161)))) % 0.43/0.71 (assume @p305 (forall @t341 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t339) @t340)) @t230))) % 0.43/0.71 (assume @p306 (forall @t136 (not @t321))) % 0.43/0.71 (assume @p307 (forall @t66 (not (tptp.c_HOL_Oord__class_Oless @t5 @t5 tptp.tc_nat)))) % 0.43/0.71 (assume @p308 (forall @t60 (or @t369 @t373))) % 0.43/0.71 (assume @p309 (forall @t60 (or @t374 @t373))) % 0.43/0.71 (assume @p310 (forall @t60 (or @t370 @t373))) % 0.43/0.71 (assume @p311 (forall @t359 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t361) (tptp.c_Lambda_Osubst @t161 @t173 @t1))))) % 0.43/0.71 (assume @p312 (forall @t375 (or @t213 @t367 @t36 @t83))) % 0.43/0.71 (assume @p313 (forall @t84 (or @t374 @t83 @t367 @t36))) % 0.43/0.71 (assume @p314 (forall @t17 (or @t121 @t13 @t51))) % 0.43/0.71 (assume @p315 (forall (@list @t20 @t5 @t8) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t20 @t5) @t8)) @t121 @t51 @t13))) % 0.43/0.71 (assume @p316 (forall (@list @t98 @t199 @t97 @t44 @t172) (or (= @t98 @t199) @t200 @t326))) % 0.43/0.71 (assume @p317 (forall (@list @t34 @t35) (or (tptp.c_HOL_Oord__class_Oless @t34 @t35 tptp.tc_nat) @t283 @t83))) % 0.43/0.71 (assume @p318 (forall @t375 (or @t374 @t367 @t36 @t83))) % 0.43/0.71 (assume @p319 (forall @t375 (or @t374 @t367 @t83 @t36))) % 0.43/0.71 (assume @p320 (forall @t84 (or @t374 @t83 @t36 @t367))) % 0.43/0.71 (assume @p321 (forall @t377 (or @t376 (= @t262 @t355)))) % 0.43/0.71 (assume @p322 (forall @t377 (or @t376 (= @t263 @t356)))) % 0.43/0.71 (assume @p323 (forall @t380 (or @t379 @t378))) % 0.43/0.71 (assume @p324 (forall @t380 (or @t379 @t365))) % 0.43/0.71 (assume @p325 (forall @t345 (or @t344 (= @t161 @t335)))) % 0.43/0.71 (assume @p326 (forall (@list @t382 @t161 @t173 @t199 @t98) (or (tptp.c_Type_Otyping @t382 @t226 @t199) (not (tptp.c_Type_Otyping @t382 @t173 @t98)) (not (tptp.c_Type_Otyping @t382 @t161 @t381))))) % 0.43/0.71 (assume @p327 (forall (@list @t44 @t173) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t187) @t173))))) % 0.43/0.71 (assume @p328 (forall @t388 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t384 @t243 @t44))) @t387 @t386 (not (tptp.c_Type_Otyping @t385 @t384 @t383))))) % 0.43/0.71 (assume @p329 (forall @t66 (or @t6 @t111))) % 0.43/0.71 (assume @p330 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat))) % 0.43/0.71 (assume @p331 (forall @t250 (or (= @t249 @t248) @t389))) % 0.43/0.71 (assume @p332 (forall (@list @t101 @t44 @t42) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t101 @t187 @t42))) @t364))) % 0.43/0.71 (assume @p333 (forall @t393 (or @t392 (= @t254 @t390)))) % 0.43/0.71 (assume @p334 (forall @t393 (or @t392 (= @t255 @t391)))) % 0.43/0.71 (assume @p335 (forall (@list @t43 @t243) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t43) @t243 @t43) @t243))) % 0.43/0.71 (assume @p336 (forall @t395 (or @t394 @t378))) % 0.43/0.71 (assume @p337 (forall @t395 (or @t394 @t51))) % 0.43/0.71 (assume @p338 (forall (@list @t371 @t263 @t262) (not (= @t372 @t264)))) % 0.43/0.71 (assume @p339 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t384))) % 0.43/0.71 (assume @p340 (forall @t269 (or (not (= @t3 (tptp.c_Lambda_OdB_OVar @t131))) @t268))) % 0.43/0.71 (assume @p341 (forall (@list @t263 @t262 @t371) (not (= @t264 @t372)))) % 0.43/0.71 (assume @p342 (forall (@list @t371 @t2) (not (= @t372 @t3)))) % 0.43/0.71 (assume @p343 (forall (@list @t173 @t243 @t161 @t43) (= (tptp.c_Lambda_Osubst @t245 @t161 @t43) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t173 @t161 @t43)) (tptp.c_Lambda_Osubst @t243 @t161 @t43))))) % 0.43/0.71 (assume @p344 (forall @t28 (or @t369 @t23 @t396))) % 0.43/0.71 (assume @p345 (forall @t84 (or @t374 @t41 @t368))) % 0.43/0.71 (assume @p346 (forall @t375 (or @t370 @t368 @t41))) % 0.43/0.71 (assume @p347 (forall (@list @t21 @t18 @t19) (or @t370 @t396 @t23))) % 0.43/0.71 (assume @p348 (forall (@list @t97 @t44 @t199 @t173 @t98) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t97 @t44 @t199 tptp.tc_Type_Otype) @t185 @t98) @t328))) % 0.43/0.71 (assume @p349 (forall @t388 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ @t243 @t44))) @t387 @t386 (not (tptp.c_Type_Otyping @t385 tptp.v_a____ @t383))))) % 0.43/0.71 (assume @p350 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.43/0.71 (assume @p351 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_a____))) % 0.43/0.71 (assume @p352 (forall @t330 (or @t329 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t173) @t222))) @t328))) % 0.43/0.71 (assume @p353 (forall @t100 (or (= @t99 (tptp.hAPP @t97 @t42)) @t389))) % 0.43/0.71 (assume @p354 (forall @t402 (or @t401 @t399 (not (tptp.c_Type_Otyping @t97 @t243 @t398)) @t386 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t97 @t44 @t398 tptp.tc_Type_Otype) @t173 @t397)) @t291))) % 0.43/0.71 (assume @p355 (forall @t402 (or @t401 @t399 (not (tptp.c_Type_Otyping @t97 @t243 @t400)) @t386 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t97 @t44 @t400 tptp.tc_Type_Otype) @t173 @t397)) @t291))) % 0.43/0.71 (assume @p356 (forall (@list @t97 @t35 @t98 @t21) (= (tptp.hAPP (tptp.c_Type_Oshift @t97 @t35 @t98 @t21) @t35) @t98))) % 0.43/0.71 (assume @p357 (forall (@list @t382 @t173 @t98 @t199) (or (tptp.c_Type_Otyping @t382 @t190 @t381) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t382 @t1 @t98 tptp.tc_Type_Otype) @t173 @t199))))) % 0.43/0.71 (assume @p358 (forall (@list @t97 @t44 @t98) (or (= (tptp.hAPP @t97 @t44) @t98) (not (tptp.c_Type_Otyping @t97 @t187 @t98))))) % 0.43/0.71 (assume @p359 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.43/0.71 (assume @p360 (tptp.c_Type_Otyping @t403 @t354 tptp.v_T_H____)) % 0.43/0.71 (assume @p361 @t407) % 0.43/0.71 (assume @p362 (forall (@list @t382 @t35) (tptp.c_Type_Otyping @t382 @t366 (tptp.hAPP @t382 @t35)))) % 0.43/0.71 (assume @p363 (forall (@list @t408 @t243 @t199 @t44 @t173 @t98) (or (not (tptp.c_Type_Otyping @t408 @t243 @t199)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t408 @t44 @t199 tptp.tc_Type_Otype) @t173 @t98)) (tptp.c_Type_Otyping @t408 @t320 @t98)))) % 0.43/0.71 (assume @p364 @t409) % 0.43/0.71 (assume @p365 (not tptp.v_thesis____)) % 0.43/0.71 (assume @p366 (forall @t136 (or tptp.v_thesis____ (not (tptp.c_Type_Otyping @t403 tptp.v_a____ @t35))))) % 0.43/0.71 (assume @p367 (forall @t413 (or (tptp.class_Orderings_Opreorder @t412) (not (tptp.class_Orderings_Opreorder @t410))))) % 0.43/0.71 (assume @p368 (forall @t413 (or (tptp.class_Orderings_Oorder @t412) (not (tptp.class_Orderings_Oorder @t410))))) % 0.43/0.71 (assume @p369 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.43/0.71 (assume @p370 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.43/0.71 (assume @p371 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.43/0.71 (assume @p372 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.43/0.71 (assume @p373 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.43/0.71 (assume @p374 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.43/0.71 (assume @p375 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.43/0.71 (assume @p376 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.43/0.71 (assume @p377 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.43/0.71 (assume @p378 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.43/0.71 (assume @p379 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.43/0.71 (assume @p380 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.43/0.71 (assume @p381 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.43/0.71 (assume @p382 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.43/0.71 (assume @p383 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.43/0.71 (assume @p384 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.43/0.71 (assume @p385 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.43/0.71 (assume @p386 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.43/0.71 (assume @p387 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.43/0.71 (assume @p388 (forall @t60 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t119 @t35) @t35)))) % 0.43/0.71 (assume @p389 (forall (@list @t415 @t414 @t21) (or (= @t415 @t414) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t119 @t415) @t414)))))) % 0.43/0.71 (step @p390 :rule quant-miniscope-or :args ((= @t407 (or tptp.v_thesis____ @t416)))) % 0.43/0.71 (step @p391 :rule eq_resolve :premises (@p361 @p390)) % 0.43/0.71 (step @p392 :rule chain_m_resolution :premises (@p391 @p365) :args (@t416 (@list true) (@list tptp.v_thesis____))) % 0.43/0.71 (step @p393 :rule instantiate :premises (@p136) :args ((@list @t403 tptp.v_a____ tptp.v_Ua____ @t352))) % 0.43/0.71 (step @p394 :rule cnf_or_pos :args (@t420)) % 0.43/0.71 (step @p395 :rule reordering :premises (@p394) :args ((or @t417 @t419 (not @t420)))) % 0.43/0.71 (step @p396 :rule chain_m_resolution :premises (@p395 @p364 @p393) :args (@t419 @t421 (@list @t409 @t420))) % 0.43/0.71 (assume-push @p403 @t416) % 0.43/0.71 (step @p398 :rule instantiate :premises (@p392) :args ((@list @t418))) % 0.43/0.71 (step-pop @p404 :rule scope :premises (@p398)) % 0.43/0.71 (step @p399 :rule process_scope :premises (@p404) :args ((not @t419))) % 0.43/0.71 (step @p401 :rule implies_elim :premises (@p399)) % 0.43/0.71 (step @p402 false :rule chain_m_resolution :premises (@p401 @p396 @p392) :args (false @t421 (@list @t419 @t416))) % 0.43/0.71 ) % 0.43/0.71 % SZS output end Proof % 0.43/0.71 % cvc5 exiting %------------------------------------------------------------------------------