%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL821-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n031.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:57 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.86s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL821-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.04/0.36 % Computer : n031.cluster.edu % 0.04/0.36 % Model : x86_64 x86_64 % 0.04/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.36 % Memory : 8046.5625MB % 0.04/0.36 % OS : Linux 6.8.0-71-generic % 0.04/0.36 % CPULimit : 300 % 0.04/0.36 % WCLimit : 300 % 0.04/0.36 % DateTime : Fri Sep 4 20:51:54 UTC 2026 % 0.04/0.36 % CPUTime : % 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.86 % SZS status Unsatisfiable % 0.29/0.86 % SZS output start Proof % 0.29/0.88 ( % 0.29/0.88 (declare-sort $$unsorted 0) % 0.29/0.88 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.v_thesis____ Bool) % 0.29/0.88 (declare-const tptp.v_e____ $$unsorted) % 0.29/0.88 (declare-const tptp.v_n____ $$unsorted) % 0.29/0.88 (declare-const tptp.v_rs____ $$unsorted) % 0.29/0.88 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.29/0.88 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.v_u____ $$unsorted) % 0.29/0.88 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.29/0.88 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.29/0.88 (declare-const tptp.v_ua______ $$unsorted) % 0.29/0.88 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.29/0.88 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.29/0.88 (declare-const tptp.v_T_H____ $$unsorted) % 0.29/0.88 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.tc_nat $$unsorted) % 0.29/0.88 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.29/0.88 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.v_T____ $$unsorted) % 0.29/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.v_i____ $$unsorted) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.v_ia______ $$unsorted) % 0.29/0.88 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.v_ea______ $$unsorted) % 0.29/0.88 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.88 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.29/0.88 (define @t1 () (@var "T_a" $$unsorted)) % 0.29/0.88 (define @t2 () (@var "V_y" $$unsorted)) % 0.29/0.88 (define @t3 () (@var "V_x" $$unsorted)) % 0.29/0.88 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.29/0.88 (define @t5 () (not @t4)) % 0.29/0.88 (define @t6 () (@var "V_y_H" $$unsorted)) % 0.29/0.88 (define @t7 () (@var "V_x_H" $$unsorted)) % 0.29/0.88 (define @t8 () (tptp.c_HOL_Oord__class_Oless @t7 @t6 @t1)) % 0.29/0.88 (define @t9 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t6 @t1)) % 0.29/0.88 (define @t10 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1)) % 0.29/0.88 (define @t11 () (not (= @t10 @t9))) % 0.29/0.88 (define @t12 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.29/0.88 (define @t13 () (@list @t1 @t3 @t2 @t7 @t6)) % 0.29/0.88 (define @t14 () (@var "V_n" $$unsorted)) % 0.29/0.88 (define @t15 () (@var "V_m" $$unsorted)) % 0.29/0.88 (define @t16 () (tptp.c_HOL_Oord__class_Oless @t15 @t14 tptp.tc_nat)) % 0.29/0.88 (define @t17 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 tptp.tc_nat)) % 0.29/0.88 (define @t18 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.29/0.88 (define @t19 () (tptp.hAPP @t18 @t14)) % 0.29/0.88 (define @t20 () (@list @t14 @t15)) % 0.29/0.88 (define @t21 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.29/0.88 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t21 @t14 tptp.tc_nat)) % 0.29/0.88 (define @t23 () (not @t22)) % 0.29/0.88 (define @t24 () (@var "V_i" $$unsorted)) % 0.29/0.88 (define @t25 () (tptp.c_Suc @t24)) % 0.29/0.88 (define @t26 () (tptp.c_Suc @t21)) % 0.29/0.88 (define @t27 () (= @t15 @t26)) % 0.29/0.88 (define @t28 () (= @t14 @t26)) % 0.29/0.88 (define @t29 () (tptp.hAPP @t18 @t15)) % 0.29/0.88 (define @t30 () (tptp.hAPP @t29 @t14)) % 0.29/0.88 (define @t31 () (not (= @t30 @t26))) % 0.29/0.88 (define @t32 () (@list @t15 @t14)) % 0.29/0.88 (define @t33 () (= @t14 @t21)) % 0.29/0.88 (define @t34 () (= @t15 @t21)) % 0.29/0.88 (define @t35 () (tptp.c_HOL_Oord__class_Oless @t21 @t15 tptp.tc_nat)) % 0.29/0.88 (define @t36 () (not @t35)) % 0.29/0.88 (define @t37 () (@list @t14)) % 0.29/0.88 (define @t38 () (not @t16)) % 0.29/0.88 (define @t39 () (tptp.c_Suc @t14)) % 0.29/0.88 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t15 @t39 tptp.tc_nat)) % 0.29/0.88 (define @t41 () (tptp.c_Suc @t15)) % 0.29/0.88 (define @t42 () (tptp.c_HOL_Oord__class_Oless @t41 @t14 tptp.tc_nat)) % 0.29/0.88 (define @t43 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t15 tptp.tc_nat)) % 0.29/0.88 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t21 @t43 tptp.tc_nat)) % 0.29/0.88 (define @t45 () (tptp.hAPP @t18 @t21)) % 0.29/0.88 (define @t46 () (tptp.hAPP @t45 @t26)) % 0.29/0.88 (define @t47 () (@var "V_b" $$unsorted)) % 0.29/0.88 (define @t48 () (@var "V_a" $$unsorted)) % 0.29/0.88 (define @t49 () (@var "V_P" $$unsorted)) % 0.29/0.88 (define @t50 () (@var "V_j" $$unsorted)) % 0.29/0.88 (define @t51 () (@var "V_k" $$unsorted)) % 0.29/0.88 (define @t52 () (tptp.hAPP @t18 @t24)) % 0.29/0.88 (define @t53 () (tptp.hAPP @t52 @t51)) % 0.29/0.88 (define @t54 () (tptp.c_HOL_Oord__class_Oless @t53 @t50 tptp.tc_nat)) % 0.29/0.88 (define @t55 () (tptp.c_HOL_Oord__class_Oless @t24 (tptp.c_HOL_Ominus__class_Ominus @t50 @t51 tptp.tc_nat) tptp.tc_nat)) % 0.29/0.88 (define @t56 () (@list @t24 @t50 @t51)) % 0.29/0.88 (define @t57 () (@list @t24 @t51 @t50)) % 0.29/0.88 (define @t58 () (@var "V_inc" $$unsorted)) % 0.29/0.88 (define @t59 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.29/0.88 (define @t60 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t50 tptp.tc_nat))) % 0.29/0.88 (define @t61 () (not (tptp.c_HOL_Oord__class_Oless @t50 @t51 tptp.tc_nat))) % 0.29/0.88 (define @t62 () (tptp.c_Suc @t3)) % 0.29/0.88 (define @t63 () (tptp.c_HOL_Oord__class_Oless @t3 @t62 tptp.tc_nat)) % 0.29/0.88 (define @t64 () (@list @t3)) % 0.29/0.88 (define @t65 () (tptp.c_HOL_Oord__class_Oless @t48 @t47 @t1)) % 0.29/0.88 (define @t66 () (not @t65)) % 0.29/0.88 (define @t67 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.29/0.88 (define @t68 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t47 @t1)) % 0.29/0.88 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t68 @t67 @t1)) % 0.29/0.88 (define @t70 () (@list @t1 @t48 @t47)) % 0.29/0.88 (define @t71 () (@list @t15)) % 0.29/0.88 (define @t72 () (@var "V_nat_H" $$unsorted)) % 0.29/0.88 (define @t73 () (tptp.c_Suc @t72)) % 0.29/0.88 (define @t74 () (@list @t72)) % 0.29/0.88 (define @t75 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.29/0.88 (define @t76 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t14 @t75 tptp.tc_nat))) % 0.29/0.88 (define @t77 () (= @t15 @t14)) % 0.29/0.88 (define @t78 () (tptp.hAPP (tptp.hAPP @t18 @t26) @t21)) % 0.29/0.88 (define @t79 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t75 tptp.tc_nat)) % 0.29/0.88 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t14 @t15 tptp.tc_nat)) % 0.29/0.88 (define @t81 () (tptp.c_HOL_Oord__class_Oless @t14 @t41 tptp.tc_nat)) % 0.29/0.88 (define @t82 () (not @t81)) % 0.29/0.88 (define @t83 () (not (= @t26 @t30))) % 0.29/0.88 (define @t84 () (tptp.c_List_Olist_ONil @t1)) % 0.29/0.88 (define @t85 () (@var "V_xs" $$unsorted)) % 0.29/0.88 (define @t86 () (@var "V_r" $$unsorted)) % 0.29/0.88 (define @t87 () (@var "V_nat" $$unsorted)) % 0.29/0.88 (define @t88 () (= @t87 @t72)) % 0.29/0.88 (define @t89 () (@list @t87 @t72)) % 0.29/0.88 (define @t90 () (= @t3 @t2)) % 0.29/0.88 (define @t91 () (@var "V_U" $$unsorted)) % 0.29/0.88 (define @t92 () (@var "V_T" $$unsorted)) % 0.29/0.88 (define @t93 () (@var "V_e" $$unsorted)) % 0.29/0.88 (define @t94 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 0.29/0.88 (define @t95 () (= @t94 @t67)) % 0.29/0.88 (define @t96 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.29/0.88 (define @t97 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.29/0.88 (define @t98 () (@list @t1 @t3)) % 0.29/0.88 (define @t99 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.29/0.88 (define @t100 () (@list @t1 @t48)) % 0.29/0.88 (define @t101 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.29/0.88 (define @t102 () (@var "V_l" $$unsorted)) % 0.29/0.88 (define @t103 () (@list @t24 @t15)) % 0.29/0.88 (define @t104 () (tptp.c_Suc @t30)) % 0.29/0.88 (define @t105 () (tptp.hAPP (tptp.hAPP @t18 @t41) @t14)) % 0.29/0.88 (define @t106 () (tptp.hAPP @t29 @t39)) % 0.29/0.88 (define @t107 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.29/0.88 (define @t108 () (tptp.hAPP @t18 @t47)) % 0.29/0.88 (define @t109 () (@var "V_d" $$unsorted)) % 0.29/0.88 (define @t110 () (tptp.hAPP @t19 @t15)) % 0.29/0.88 (define @t111 () (tptp.hAPP @t18 @t50)) % 0.29/0.88 (define @t112 () (tptp.hAPP @t111 @t51)) % 0.29/0.88 (define @t113 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t24 @t50 tptp.tc_nat) @t51 tptp.tc_nat)) % 0.29/0.88 (define @t114 () (@var "V_xa" $$unsorted)) % 0.29/0.88 (define @t115 () (tptp.hAPP @t19 @t51)) % 0.29/0.88 (define @t116 () (tptp.hAPP @t29 @t51)) % 0.29/0.88 (define @t117 () (@list @t15 @t51 @t14)) % 0.29/0.88 (define @t118 () (tptp.hAPP @t18 @t51)) % 0.29/0.88 (define @t119 () (tptp.hAPP @t118 @t14)) % 0.29/0.88 (define @t120 () (tptp.hAPP @t118 @t15)) % 0.29/0.88 (define @t121 () (@list @t51 @t15 @t14)) % 0.29/0.88 (define @t122 () (@list @t1 @t3 @t2)) % 0.29/0.88 (define @t123 () (= @t48 @t47)) % 0.29/0.88 (define @t124 () (not (= @t68 @t67))) % 0.29/0.88 (define @t125 () (tptp.c_Suc @t51)) % 0.29/0.88 (define @t126 () (@list @t15 @t14 @t51)) % 0.29/0.88 (define @t127 () (tptp.c_HOL_Oord__class_Oless @t3 @t3 tptp.tc_nat)) % 0.29/0.88 (define @t128 () (tptp.hAPP @t107 @t48)) % 0.29/0.88 (define @t129 () (tptp.hAPP @t128 @t47)) % 0.29/0.88 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t41 @t39 tptp.tc_nat)) % 0.29/0.88 (define @t131 () (@var "V_t" $$unsorted)) % 0.29/0.88 (define @t132 () (tptp.c_Lambda_Oliftn @t14 @t131 @t51)) % 0.29/0.88 (define @t133 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1)) % 0.29/0.88 (define @t134 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.29/0.88 (define @t135 () (tptp.hAPP @t107 @t134)) % 0.29/0.88 (define @t136 () (@list @t1 @t15)) % 0.29/0.88 (define @t137 () (@var "V_ss" $$unsorted)) % 0.29/0.88 (define @t138 () (@var "V_rs" $$unsorted)) % 0.29/0.88 (define @t139 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t86 @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.88 (define @t140 () (tptp.c_HOL_Ominus__class_Ominus @t50 @t75 tptp.tc_nat)) % 0.29/0.88 (define @t141 () (tptp.hAPP (tptp.c_Type_Oshift @t93 @t24 @t92 @t1) @t50)) % 0.29/0.88 (define @t142 () (@list @t93 @t24 @t92 @t1 @t50)) % 0.29/0.88 (define @t143 () (@var "V_env" $$unsorted)) % 0.29/0.88 (define @t144 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t92) @t91)) % 0.29/0.88 (define @t145 () (tptp.c_Lambda_OdB_OAbs @t131)) % 0.29/0.88 (define @t146 () (@var "V_s" $$unsorted)) % 0.29/0.88 (define @t147 () (tptp.hAPP tptp.c_Lambda_Osubst @t86)) % 0.29/0.88 (define @t148 () (tptp.c_Lambda_OdB_OAbs @t86)) % 0.29/0.88 (define @t149 () (@list @t86 @t146 @t137)) % 0.29/0.88 (define @t150 () (@var "T_b" $$unsorted)) % 0.29/0.88 (define @t151 () (tptp.c_List_Olist_ONil @t150)) % 0.29/0.88 (define @t152 () (@var "V_f" $$unsorted)) % 0.29/0.88 (define @t153 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t131)))) % 0.29/0.88 (define @t154 () (@var "V_Ta" $$unsorted)) % 0.29/0.88 (define @t155 () (@var "V_T1" $$unsorted)) % 0.29/0.88 (define @t156 () (@var "V_u" $$unsorted)) % 0.29/0.88 (define @t157 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t156)))) % 0.29/0.88 (define @t158 () (tptp.hAPP tptp.c_Lambda_Osubst @t131)) % 0.29/0.88 (define @t159 () (tptp.hAPP (tptp.hAPP @t158 @t156) @t24)) % 0.29/0.88 (define @t160 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t159))) % 0.29/0.88 (define @t161 () (@var "V_T2" $$unsorted)) % 0.29/0.88 (define @t162 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t155) @t161)))) % 0.29/0.88 (define @t163 () (@list @t155 @t161 @t131 @t156 @t24 @t93 @t154)) % 0.29/0.88 (define @t164 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.29/0.88 (define @t165 () (@list @t1)) % 0.29/0.88 (define @t166 () (tptp.hAPP tptp.c_Lambda_Olift @t131)) % 0.29/0.88 (define @t167 () (tptp.hAPP @t166 @t24)) % 0.29/0.88 (define @t168 () (@list @t131 @t24)) % 0.29/0.88 (define @t169 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.29/0.88 (define @t170 () (@var "V_dB_H" $$unsorted)) % 0.29/0.88 (define @t171 () (@var "V_dB" $$unsorted)) % 0.29/0.88 (define @t172 () (tptp.c_Lambda_OdB_OAbs @t170)) % 0.29/0.88 (define @t173 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.29/0.88 (define @t174 () (= @t137 @t173)) % 0.29/0.88 (define @t175 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t146 @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.88 (define @t176 () (not (= @t148 @t175))) % 0.29/0.88 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t24 @t51 tptp.tc_nat)) % 0.29/0.88 (define @t178 () (tptp.c_Lambda_OdB_OVar @t24)) % 0.29/0.88 (define @t179 () (tptp.c_Lambda_Oliftn @t14 @t178 @t51)) % 0.29/0.88 (define @t180 () (@list @t14 @t24 @t51)) % 0.29/0.88 (define @t181 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t146) @t131)) % 0.29/0.88 (define @t182 () (tptp.c_Lambda_OdB_OAbs @t146)) % 0.29/0.88 (define @t183 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t182) @t131)) % 0.29/0.88 (define @t184 () (@list @t146 @t131)) % 0.29/0.88 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t67 @t48 @t1)) % 0.29/0.88 (define @t186 () (not @t185)) % 0.29/0.88 (define @t187 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.29/0.88 (define @t188 () (tptp.hAPP @t118 @t75)) % 0.29/0.88 (define @t189 () (@var "V_c" $$unsorted)) % 0.29/0.88 (define @t190 () (tptp.hAPP @t107 @t47)) % 0.29/0.88 (define @t191 () (tptp.hAPP @t190 @t109)) % 0.29/0.88 (define @t192 () (tptp.hAPP @t128 @t189)) % 0.29/0.88 (define @t193 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.29/0.89 (define @t194 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t102 tptp.tc_nat))) % 0.29/0.89 (define @t195 () (tptp.c_List_Ofoldr @t107 @t85 @t67 @t1 @t1)) % 0.29/0.89 (define @t196 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.29/0.89 (define @t197 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14 @t1)) % 0.29/0.89 (define @t198 () (tptp.c_HOL_Oord__class_Oless @t67 @t197 @t1)) % 0.29/0.89 (define @t199 () (@list @t1 @t14)) % 0.29/0.89 (define @t200 () (tptp.hAPP @t158 @t146)) % 0.29/0.89 (define @t201 () (@list @t1 @t47 @t48 @t189)) % 0.29/0.89 (define @t202 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t86)))) % 0.29/0.89 (define @t203 () (tptp.hAPP @t52 @t50)) % 0.29/0.89 (define @t204 () (@var "V_type2_H" $$unsorted)) % 0.29/0.89 (define @t205 () (@var "V_type2" $$unsorted)) % 0.29/0.89 (define @t206 () (@var "V_type1_H" $$unsorted)) % 0.29/0.89 (define @t207 () (@var "V_type1" $$unsorted)) % 0.29/0.89 (define @t208 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t207) @t205) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t206) @t204)))) % 0.29/0.89 (define @t209 () (@list @t207 @t205 @t206 @t204)) % 0.29/0.89 (define @t210 () (tptp.hAPP @t190 @t189)) % 0.29/0.89 (define @t211 () (tptp.c_HOL_Oord__class_Oless @t192 @t210 @t1)) % 0.29/0.89 (define @t212 () (@list @t1 @t48 @t189 @t47)) % 0.29/0.89 (define @t213 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.29/0.89 (define @t214 () (@list @t1 @t48 @t47 @t189)) % 0.29/0.89 (define @t215 () (tptp.hAPP @t107 @t189)) % 0.29/0.89 (define @t216 () (tptp.hAPP @t215 @t48)) % 0.29/0.89 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t216 (tptp.hAPP @t215 @t47) @t1)) % 0.29/0.89 (define @t218 () (@list @t1 @t189 @t48 @t47)) % 0.29/0.89 (define @t219 () (tptp.c_HOL_Oord__class_Oless @t120 @t119 tptp.tc_nat)) % 0.29/0.89 (define @t220 () (not (tptp.c_Type_Otyping @t93 @t131 @t92))) % 0.29/0.89 (define @t221 () (@var "V_t_H" $$unsorted)) % 0.29/0.89 (define @t222 () (@var "V_dB2" $$unsorted)) % 0.29/0.89 (define @t223 () (@var "V_dB1" $$unsorted)) % 0.29/0.89 (define @t224 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t223) @t222)) % 0.29/0.89 (define @t225 () (tptp.c_Lambda_OdB_OVar @t87)) % 0.29/0.89 (define @t226 () (tptp.hAPP tptp.c_Lambda_Osubst @t156)) % 0.29/0.89 (define @t227 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t131)) % 0.29/0.89 (define @t228 () (tptp.hAPP @t227 @t156)) % 0.29/0.89 (define @t229 () (@list @t131 @t156 @t146 @t51)) % 0.29/0.89 (define @t230 () (@list @t1 @t15 @t14)) % 0.29/0.89 (define @t231 () (= @t85 @t151)) % 0.29/0.89 (define @t232 () (tptp.c_List_Omap @t152 @t85 @t150 @t1)) % 0.29/0.89 (define @t233 () (tptp.hAPP tptp.c_Lambda_Olift @t146)) % 0.29/0.89 (define @t234 () (@var "V_v" $$unsorted)) % 0.29/0.89 (define @t235 () (tptp.c_Lambda_OdB_OVar @t14)) % 0.29/0.89 (define @t236 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t235 @t138 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t237 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t236) @t234)))) % 0.29/0.89 (define @t238 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t14 @t138 @t234)) % 0.29/0.89 (define @t239 () (tptp.hAPP @t111 @t75)) % 0.29/0.89 (define @t240 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t239 tptp.tc_nat))) % 0.29/0.89 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t51 @t24 tptp.tc_nat)) % 0.29/0.89 (define @t242 () (not @t241)) % 0.29/0.89 (define @t243 () (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t24 @t75 tptp.tc_nat))) % 0.29/0.89 (define @t244 () (tptp.c_Lambda_Osubstn @t178 @t146 @t51)) % 0.29/0.89 (define @t245 () (@list @t24 @t146 @t51)) % 0.29/0.89 (define @t246 () (tptp.hAPP @t166 @t51)) % 0.29/0.89 (define @t247 () (tptp.c_Lambda_OdB_OVar @t50)) % 0.29/0.89 (define @t248 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t247) @t156) @t24)) % 0.29/0.89 (define @t249 () (@list @t50 @t156 @t24)) % 0.29/0.89 (define @t250 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t178) @t146) @t51)) % 0.29/0.89 (define @t251 () (@var "V_zs" $$unsorted)) % 0.29/0.89 (define @t252 () (tptp.hAPP @t107 @t3)) % 0.29/0.89 (define @t253 () (tptp.c_HOL_Oord__class_Oless @t48 @t67 @t1)) % 0.29/0.89 (define @t254 () (not @t253)) % 0.29/0.89 (define @t255 () (tptp.hAPP @t128 @t48)) % 0.29/0.89 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t255 @t67 @t1)) % 0.29/0.89 (define @t257 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.29/0.89 (define @t258 () (not @t256)) % 0.29/0.89 (define @t259 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.29/0.89 (define @t260 () (tptp.c_List_Ofoldl @t107 @t48 @t85 @t1 @t1)) % 0.29/0.89 (define @t261 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.29/0.89 (define @t262 () (= @t48 @t67)) % 0.29/0.89 (define @t263 () (not (= @t30 @t21))) % 0.29/0.89 (define @t264 () (tptp.hAPP @t18 @t3)) % 0.29/0.89 (define @t265 () (tptp.hAPP @t252 @t2)) % 0.29/0.89 (define @t266 () (tptp.hAPP @t107 @t2)) % 0.29/0.89 (define @t267 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.29/0.89 (define @t268 () (tptp.hAPP @t190 @t48)) % 0.29/0.89 (define @t269 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.29/0.89 (define @t270 () (@list @t131 @t146 @t51)) % 0.29/0.89 (define @t271 () (@var "V_z" $$unsorted)) % 0.29/0.89 (define @t272 () (tptp.hAPP @t18 @t2)) % 0.29/0.89 (define @t273 () (tptp.hAPP @t272 @t271)) % 0.29/0.89 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t3 @t273 tptp.tc_nat)) % 0.29/0.89 (define @t275 () (@list @t3 @t2 @t271)) % 0.29/0.89 (define @t276 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 tptp.tc_nat)) % 0.29/0.89 (define @t277 () (@var "V_ts" $$unsorted)) % 0.29/0.89 (define @t278 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t131 @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t279 () (tptp.c_Type_Otyping @t93 @t278 @t92)) % 0.29/0.89 (define @t280 () (not @t279)) % 0.29/0.89 (define @t281 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t92 @t93 @t131 @t277)) % 0.29/0.89 (define @t282 () (@list @t93 @t131 @t92 @t277)) % 0.29/0.89 (define @t283 () (@var "V_A" $$unsorted)) % 0.29/0.89 (define @t284 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t86) @t146)))) % 0.29/0.89 (define @t285 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t178 @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t286 () (not (tptp.c_Type_Otyping @t93 @t285 @t92))) % 0.29/0.89 (define @t287 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t92 @t93 @t24 @t277)) % 0.29/0.89 (define @t288 () (tptp.hAPP @t107 @t67)) % 0.29/0.89 (define @t289 () (tptp.hAPP @t252 (tptp.hAPP @t266 @t271))) % 0.29/0.89 (define @t290 () (@list @t1 @t3 @t2 @t271)) % 0.29/0.89 (define @t291 () (tptp.hAPP @t252 @t271)) % 0.29/0.89 (define @t292 () (tptp.hAPP @t264 @t271)) % 0.29/0.89 (define @t293 () (tptp.hAPP @t128 @t210)) % 0.29/0.89 (define @t294 () (tptp.hAPP @t107 @t129)) % 0.29/0.89 (define @t295 () (tptp.hAPP @t294 @t189)) % 0.29/0.89 (define @t296 () (= @t295 @t293)) % 0.29/0.89 (define @t297 () (tptp.hAPP @t107 @t192)) % 0.29/0.89 (define @t298 () (tptp.hAPP @t215 @t109)) % 0.29/0.89 (define @t299 () (tptp.hAPP @t128 @t298)) % 0.29/0.89 (define @t300 () (@list @t1 @t48 @t189 @t109)) % 0.29/0.89 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t21 @t30 tptp.tc_nat)) % 0.29/0.89 (define @t302 () (tptp.c_List_Omap @t152 @t151 @t150 @t1)) % 0.29/0.89 (define @t303 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t148 @t173 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t304 () (@list @t86)) % 0.29/0.89 (define @t305 () (tptp.hAPP @t233 @t24)) % 0.29/0.89 (define @t306 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t200 @t50)) @t24)) % 0.29/0.89 (define @t307 () (@list @t131 @t146 @t50 @t24)) % 0.29/0.89 (define @t308 () (= @t2 @t271)) % 0.29/0.89 (define @t309 () (= @t47 @t189)) % 0.29/0.89 (define @t310 () (not (= @t129 @t192))) % 0.29/0.89 (define @t311 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.29/0.89 (define @t312 () (not (= @t175 @t148))) % 0.29/0.89 (define @t313 () (@list @t146 @t137 @t86)) % 0.29/0.89 (define @t314 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t146) @t131)))) % 0.29/0.89 (define @t315 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t156)) % 0.29/0.89 (define @t316 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t146)) % 0.29/0.89 (define @t317 () (tptp.hAPP @t316 @t131)) % 0.29/0.89 (define @t318 () (tptp.c_Lambda_OdB_OVar @t3)) % 0.29/0.89 (define @t319 () (@list @t3 @t146)) % 0.29/0.89 (define @t320 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t92 @t93 @t131 @t277)) % 0.29/0.89 (define @t321 () (tptp.hAPP @t52 @t75)) % 0.29/0.89 (define @t322 () (= (tptp.hAPP @t288 @t48) @t48)) % 0.29/0.89 (define @t323 () (= (tptp.hAPP @t128 @t67) @t48)) % 0.29/0.89 (define @t324 () (not (tptp.c_Type_Otyping @t93 @t228 @t92))) % 0.29/0.89 (define @t325 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t92 @t93 @t131 @t156)) % 0.29/0.89 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t67 @t255 @t1)) % 0.29/0.89 (define @t327 () (@var "V_dB2_H" $$unsorted)) % 0.29/0.89 (define @t328 () (@var "V_dB1_H" $$unsorted)) % 0.29/0.89 (define @t329 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t328) @t327)) % 0.29/0.89 (define @t330 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t235 @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t331 () (@var "V_e_H" $$unsorted)) % 0.29/0.89 (define @t332 () (tptp.c_Lambda_OdB_OVar @t15)) % 0.29/0.89 (define @t333 () (not (= @t332 @t175))) % 0.29/0.89 (define @t334 () (@list @t15 @t146 @t137)) % 0.29/0.89 (define @t335 () (not @t177)) % 0.29/0.89 (define @t336 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t178) @t51)) % 0.29/0.89 (define @t337 () (@list @t24 @t51)) % 0.29/0.89 (define @t338 () (@var "V_us" $$unsorted)) % 0.29/0.89 (define @t339 () (not (tptp.c_Type_Otyping @t93 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t285 @t338 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t92))) % 0.29/0.89 (define @t340 () (@var "V_Ts" $$unsorted)) % 0.29/0.89 (define @t341 () (not (tptp.c_Type_Otypings @t93 @t277 @t340))) % 0.29/0.89 (define @t342 () (not (tptp.c_Type_Otyping @t93 @t285 @t91))) % 0.29/0.89 (define @t343 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t92 @t91 @t93 @t338)) % 0.29/0.89 (define @t344 () (= @t86 @t146)) % 0.29/0.89 (define @t345 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t156 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t24 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t346 () (@list @t93 @t277 @t92 @t131)) % 0.29/0.89 (define @t347 () (@var "V_Q" $$unsorted)) % 0.29/0.89 (define @t348 () (@var "V_R" $$unsorted)) % 0.29/0.89 (define @t349 () (@var "T_c" $$unsorted)) % 0.29/0.89 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.29/0.89 (define @t351 () (not @t350)) % 0.29/0.89 (define @t352 () (not (tptp.class_Orderings_Oorder @t1))) % 0.29/0.89 (define @t353 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.29/0.89 (define @t354 () (= @t24 @t51)) % 0.29/0.89 (define @t355 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.29/0.89 (define @t356 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t355 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t357 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t3 @t1))) % 0.29/0.89 (define @t358 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.29/0.89 (define @t359 () (@list @t1 @t2 @t3)) % 0.29/0.89 (define @t360 () (not (= @t224 @t329))) % 0.29/0.89 (define @t361 () (@list @t223 @t222 @t328 @t327)) % 0.29/0.89 (define @t362 () (= @t138 @t137)) % 0.29/0.89 (define @t363 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t148 @t138 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t182 @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.89 (define @t364 () (@list @t86 @t138 @t146 @t137)) % 0.29/0.89 (define @t365 () (tptp.c_HOL_Oord__class_Oless @t133 @t197 @t1)) % 0.29/0.89 (define @t366 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t86) @t146)) % 0.29/0.89 (define @t367 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t24 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.89 (define @t368 () (not (tptp.c_HOL_Oord__class_Oless @t50 @t24 tptp.tc_nat))) % 0.29/0.89 (define @t369 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t332 @t138 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t330))) % 0.29/0.89 (define @t370 () (@list @t15 @t138 @t14 @t137)) % 0.29/0.89 (define @t371 () (tptp.c_Type_Oshift @t93 @t24 @t91 tptp.tc_Type_Otype)) % 0.29/0.89 (define @t372 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t48 @t1))) % 0.29/0.89 (define @t373 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.29/0.89 (define @t374 () (not (tptp.c_Type_Otypings @t373 tptp.v_rs____ @t340))) % 0.29/0.89 (define @t375 () (@list @t340)) % 0.29/0.89 (define @t376 () (forall @t375 (or tptp.v_thesis____ @t374))) % 0.29/0.89 (define @t377 () (tptp.c_Type_Otyping @t373 @t356 tptp.v_T_H____)) % 0.29/0.89 (define @t378 () (@var "T_1" $$unsorted)) % 0.29/0.89 (define @t379 () (@var "T_2" $$unsorted)) % 0.29/0.89 (define @t380 () (tptp.tc_fun @t379 @t378)) % 0.29/0.89 (define @t381 () (@list @t379 @t378)) % 0.29/0.89 (define @t382 () (@var "V_Y" $$unsorted)) % 0.29/0.89 (define @t383 () (@var "V_X" $$unsorted)) % 0.29/0.89 (define @t384 () (forall @t375 @t374)) % 0.29/0.89 (define @t385 () (not @t377)) % 0.29/0.89 (define @t386 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 tptp.v_T_H____ @t373 @t355 tptp.v_rs____)) % 0.29/0.89 (define @t387 () (tptp.c_Type_Otypings @t373 tptp.v_rs____ @t386)) % 0.29/0.89 (define @t388 () (or @t387 @t385)) % 0.29/0.89 (define @t389 () (@list false false)) % 0.29/0.89 (assume @p1 (forall @t13 (or @t12 @t11 @t8 @t5))) % 0.29/0.89 (assume @p2 (forall @t13 (or @t12 @t11 @t4 (not @t8)))) % 0.29/0.89 (assume @p3 (forall @t20 (or (= (tptp.hAPP @t19 @t17) @t15) @t16))) % 0.29/0.89 (assume @p4 (forall (@list @t14 @t24) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t14 @t25 tptp.tc_nat) @t14 tptp.tc_nat) @t23))) % 0.29/0.89 (assume @p5 (forall @t32 (or @t31 @t28 @t27))) % 0.29/0.89 (assume @p6 (forall @t32 (or @t31 @t34 @t33))) % 0.29/0.89 (assume @p7 (forall @t32 (or (tptp.c_HOL_Oord__class_Oless @t17 @t15 tptp.tc_nat) @t36 @t23))) % 0.29/0.89 (assume @p8 (forall @t37 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t14 @t26 tptp.tc_nat)) @t14) @t23))) % 0.29/0.89 (assume @p9 (forall @t32 (or @t40 @t38))) % 0.29/0.89 (assume @p10 (forall @t32 (or @t16 (not @t42)))) % 0.29/0.89 (assume @p11 (forall @t20 (or @t44 @t38))) % 0.29/0.89 (assume @p12 (forall @t32 (or @t16 (not @t44)))) % 0.29/0.89 (assume @p13 (= @t46 @t26)) % 0.29/0.89 (assume @p14 (forall (@list @t49 @t48 @t47) (or (tptp.hBOOL (tptp.hAPP @t49 @t21)) (not (tptp.c_HOL_Oord__class_Oless @t48 @t47 tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP @t49 (tptp.c_HOL_Ominus__class_Ominus @t48 @t47 tptp.tc_nat))))))) % 0.29/0.89 (assume @p15 (forall @t37 (not (= @t14 @t39)))) % 0.29/0.89 (assume @p16 (forall @t37 (not (= @t39 @t14)))) % 0.29/0.89 (assume @p17 (forall @t56 (or @t55 (not @t54)))) % 0.29/0.89 (assume @p18 (forall @t57 (or @t54 (not @t55)))) % 0.29/0.89 (assume @p19 (forall (@list @t1 @t58 @t24) (or @t59 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t58 @t21 @t24 @t1) @t24)))) % 0.29/0.89 (assume @p20 (forall @t57 (or (tptp.c_HOL_Oord__class_Oless @t25 @t51 tptp.tc_nat) @t61 @t60))) % 0.29/0.89 (assume @p21 (forall @t64 @t63)) % 0.29/0.89 (assume @p22 (forall @t37 (tptp.c_HOL_Oord__class_Oless @t14 @t39 tptp.tc_nat))) % 0.29/0.89 (assume @p23 (forall @t70 (or @t12 @t69 @t66))) % 0.29/0.89 (assume @p24 (forall @t70 (or @t12 @t65 (not @t69)))) % 0.29/0.89 (assume @p25 (forall @t71 (not (= @t41 @t21)))) % 0.29/0.89 (assume @p26 (forall @t74 (not (= @t73 @t21)))) % 0.29/0.89 (assume @p27 (forall @t37 (or (= @t14 @t76) @t23))) % 0.29/0.89 (assume @p28 (forall @t37 (or (= @t76 @t14) @t23))) % 0.29/0.89 (assume @p29 (forall @t20 (or (not (= @t43 @t21)) (not (= @t17 @t21)) @t77))) % 0.29/0.89 (assume @p30 (= @t26 @t78)) % 0.29/0.89 (assume @p31 (forall (@list @t50 @t14 @t51) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t50 @t14 tptp.tc_nat) @t51 tptp.tc_nat) @t61))) % 0.29/0.89 (assume @p32 (forall @t32 (or (= @t30 (tptp.c_Suc (tptp.hAPP (tptp.hAPP @t18 @t79) @t14))) @t34))) % 0.29/0.89 (assume @p33 (forall @t20 (or (= @t14 @t15) @t82 @t80))) % 0.29/0.89 (assume @p34 (forall @t32 (or @t77 @t82 @t80))) % 0.29/0.89 (assume @p35 (forall @t32 (or @t77 @t16 (not @t40)))) % 0.29/0.89 (assume @p36 (forall @t32 (= (tptp.c_HOL_Ominus__class_Ominus @t41 @t39 tptp.tc_nat) @t17))) % 0.29/0.89 (assume @p37 (forall @t32 (or @t83 @t34 @t33))) % 0.29/0.89 (assume @p38 (forall @t32 (or @t83 @t28 @t27))) % 0.29/0.89 (assume @p39 (tptp.c_HOL_Oord__class_Oless @t21 @t26 tptp.tc_nat)) % 0.29/0.89 (assume @p40 (forall (@list @t86 @t85 @t1) (not (tptp.c_ListOrder_Ostep1 @t86 @t85 @t84 @t1)))) % 0.29/0.89 (assume @p41 (forall (@list @t86 @t1 @t85) (not (tptp.c_ListOrder_Ostep1 @t86 @t84 @t85 @t1)))) % 0.29/0.89 (assume @p42 (= @t75 @t26)) % 0.29/0.89 (assume @p43 (forall @t89 (or (not (= (tptp.c_Suc @t87) @t73)) @t88))) % 0.29/0.89 (assume @p44 (forall (@list @t3 @t2) (or (not (= @t62 (tptp.c_Suc @t2))) @t90))) % 0.29/0.89 (assume @p45 (forall (@list @t93 @t24 @t91 @t1 @t92) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t93 @t24 @t91 @t1) @t21 @t92 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t93 @t21 @t92 @t1) @t25 @t91 @t1)))) % 0.29/0.89 (assume @p46 (forall @t71 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t21 tptp.tc_nat) @t15))) % 0.29/0.89 (assume @p47 (forall @t71 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t15 tptp.tc_nat) @t21))) % 0.29/0.89 (assume @p48 (forall @t98 (or @t97 @t96 @t95))) % 0.29/0.89 (assume @p49 (forall @t100 (or @t99 (= (tptp.c_HOL_Ominus__class_Ominus @t48 @t48 @t1) @t67)))) % 0.29/0.89 (assume @p50 (forall @t100 (or @t99 (= (tptp.c_HOL_Ominus__class_Ominus @t48 @t67 @t1) @t48)))) % 0.29/0.89 (assume @p51 (forall @t98 (or @t99 @t95))) % 0.29/0.89 (assume @p52 (forall @t98 (or @t101 @t95))) % 0.29/0.89 (assume @p53 (forall (@list @t102 @t14 @t15) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t102 @t14 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t102 @t15 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t15 @t102 tptp.tc_nat)) @t38))) % 0.29/0.89 (assume @p54 (forall @t37 (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t75 tptp.tc_nat) @t14))) % 0.29/0.89 (assume @p55 (forall (@list @t15 @t3) (tptp.c_HOL_Oord__class_Oless @t15 (tptp.c_Suc (tptp.hAPP @t29 @t3)) tptp.tc_nat))) % 0.29/0.89 (assume @p56 (forall @t103 (tptp.c_HOL_Oord__class_Oless @t24 (tptp.c_Suc (tptp.hAPP @t29 @t24)) tptp.tc_nat))) % 0.29/0.89 (assume @p57 (forall @t103 (tptp.c_HOL_Oord__class_Oless @t24 (tptp.c_Suc (tptp.hAPP @t52 @t15)) tptp.tc_nat))) % 0.29/0.89 (assume @p58 (forall @t71 (not (= @t21 @t41)))) % 0.29/0.89 (assume @p59 (forall @t74 (not (= @t21 @t73)))) % 0.29/0.89 (assume @p60 (forall @t32 (= @t105 @t104))) % 0.29/0.89 (assume @p61 (forall @t32 (= @t106 @t104))) % 0.29/0.89 (assume @p62 (= @t78 @t26)) % 0.29/0.89 (assume @p63 (forall @t37 (= @t39 (tptp.hAPP (tptp.hAPP @t18 @t75) @t14)))) % 0.29/0.89 (assume @p64 (forall @t37 (= @t39 (tptp.hAPP @t19 @t75)))) % 0.29/0.89 (assume @p65 (forall @t37 (or @t33 (not (tptp.c_HOL_Oord__class_Oless @t14 @t26 tptp.tc_nat))))) % 0.29/0.89 (assume @p66 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.29/0.89 (assume @p67 (forall @t70 (or @t99 (= (tptp.hAPP (tptp.hAPP @t107 @t68) @t47) @t48)))) % 0.29/0.89 (assume @p68 (forall (@list @t49 @t47 @t3) (or (not (tptp.hBOOL (tptp.hAPP @t49 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t108 @t3) @t47 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t49 @t3))))) % 0.29/0.89 (assume @p69 (forall (@list @t49 @t47 @t109) (or (not (tptp.hBOOL (tptp.hAPP @t49 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t108 @t109) @t47 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t49 @t109))))) % 0.29/0.89 (assume @p70 (forall @t32 (tptp.c_HOL_Oord__class_Oless @t17 @t41 tptp.tc_nat))) % 0.29/0.89 (assume @p71 (forall (@list @t1 @t58 @t14 @t24) (or @t59 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t58 @t39 @t24 @t1) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t58 @t14 (tptp.hAPP @t58 @t24) @t1))))) % 0.29/0.89 (assume @p72 (= @t26 @t46)) % 0.29/0.89 (assume @p73 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t110 tptp.tc_nat) @t21))) % 0.29/0.89 (assume @p74 (forall @t56 (= @t113 (tptp.c_HOL_Ominus__class_Ominus @t24 @t112 tptp.tc_nat)))) % 0.29/0.89 (assume @p75 (forall (@list @t1 @t114 @t2 @t3) (or @t101 (not (= (tptp.c_HOL_Ominus__class_Ominus @t114 @t2 @t1) @t94)) (= @t114 @t2)))) % 0.29/0.89 (assume @p76 (forall (@list @t1 @t3 @t7 @t6) (or @t101 (not (= @t94 @t9)) (= @t7 @t6)))) % 0.29/0.89 (assume @p77 (forall @t32 (or @t83 @t28 @t33))) % 0.29/0.89 (assume @p78 (forall @t32 (or @t83 @t34 @t27))) % 0.29/0.89 (assume @p79 (forall @t32 (= @t105 @t106))) % 0.29/0.89 (assume @p80 (forall @t37 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t14 tptp.tc_nat) @t21))) % 0.29/0.89 (assume @p81 (forall @t117 (= (tptp.c_HOL_Ominus__class_Ominus @t116 @t115 tptp.tc_nat) @t17))) % 0.29/0.89 (assume @p82 (forall @t121 (= (tptp.c_HOL_Ominus__class_Ominus @t120 @t119 tptp.tc_nat) @t17))) % 0.29/0.89 (assume @p83 (forall @t37 (tptp.c_HOL_Oord__class_Oless @t21 @t39 tptp.tc_nat))) % 0.29/0.89 (assume @p84 (forall @t64 (tptp.c_HOL_Oord__class_Oless @t21 @t62 tptp.tc_nat))) % 0.29/0.89 (assume @p85 (forall @t122 (or @t97 @t96 (not (= @t10 @t67)) @t90))) % 0.29/0.89 (assume @p86 (forall @t70 (or @t99 @t124 @t123))) % 0.29/0.89 (assume @p87 (forall @t70 (or @t101 @t124 @t123))) % 0.29/0.89 (assume @p88 (forall @t56 (= @t113 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t24 @t51 tptp.tc_nat) @t50 tptp.tc_nat)))) % 0.29/0.89 (assume @p89 (forall @t32 (or @t42 (= @t41 @t14) @t38))) % 0.29/0.89 (assume @p90 (forall @t32 (or @t31 @t28 @t33))) % 0.29/0.89 (assume @p91 (forall @t32 (or @t31 @t34 @t27))) % 0.29/0.89 (assume @p92 (forall @t126 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t41 @t14 tptp.tc_nat) @t125 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t17 @t51 tptp.tc_nat)))) % 0.29/0.89 (assume @p93 (forall @t32 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t39 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t79 @t14 tptp.tc_nat)))) % 0.29/0.89 (assume @p94 (forall @t64 (or @t127 @t63))) % 0.29/0.89 (assume @p95 (forall @t32 (or @t38 @t82))) % 0.29/0.89 (assume @p96 (forall @t20 (or @t81 @t16))) % 0.29/0.89 (assume @p97 (forall @t32 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t14 tptp.tc_nat) @t15))) % 0.29/0.89 (assume @p98 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t110 @t14 tptp.tc_nat) @t15))) % 0.29/0.89 (assume @p99 (forall @t70 (or @t99 (= (tptp.c_HOL_Ominus__class_Ominus @t129 @t47 @t1) @t48)))) % 0.29/0.89 (assume @p100 (forall (@list @t3 @t14) (or (tptp.c_HOL_Oord__class_Oless @t62 @t39 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t3 @t14 tptp.tc_nat))))) % 0.29/0.89 (assume @p101 (forall @t32 (or @t16 (not @t130)))) % 0.29/0.89 (assume @p102 (forall @t32 (or @t130 @t38))) % 0.29/0.89 (assume @p103 (forall (@list @t14 @t131 @t51) (= (tptp.c_Lambda_Oliftn @t39 @t131 @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t132) @t51)))) % 0.29/0.89 (assume @p104 (forall @t136 (or @t59 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t41 @t1) (tptp.hAPP @t135 @t133))))) % 0.29/0.89 (assume @p105 (forall (@list @t86 @t138 @t137) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t86 @t138 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t139)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t138 @t137 tptp.tc_Lambda_OdB))))) % 0.29/0.89 (assume @p106 (forall @t142 (or (= @t141 (tptp.hAPP @t93 @t140)) @t60))) % 0.29/0.89 (assume @p107 (forall (@list @t143 @t131 @t92 @t91) (or (tptp.c_Type_Otyping @t143 @t145 @t144) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t143 @t21 @t92 tptp.tc_Type_Otype) @t131 @t91))))) % 0.29/0.89 (assume @p108 (forall @t149 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t148) @t146) @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t146))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t147 @t146) @t21) @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.29/0.89 (assume @p109 (forall (@list @t152 @t48 @t150 @t1) (= (tptp.c_List_Ofoldl @t152 @t48 @t151 @t1 @t150) @t48))) % 0.29/0.89 (assume @p110 (forall @t163 (or @t162 @t160 (not (tptp.c_Type_Otyping @t93 @t156 @t155)) @t157 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t93 @t24 @t155 tptp.tc_Type_Otype) @t131 @t154)) @t153))) % 0.29/0.89 (assume @p111 (forall @t163 (or @t162 @t160 (not (tptp.c_Type_Otyping @t93 @t156 @t161)) @t157 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t93 @t24 @t161 tptp.tc_Type_Otype) @t131 @t154)) @t153))) % 0.29/0.89 (assume @p112 (forall @t165 (or @t164 (not (tptp.c_HOL_Oord__class_Oless @t134 @t67 @t1))))) % 0.29/0.89 (assume @p113 (forall @t168 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t167)) @t153))) % 0.29/0.89 (assume @p114 (forall @t165 (or @t169 (not (= @t134 @t67))))) % 0.29/0.89 (assume @p115 (forall (@list @t171 @t170) (or (not (= (tptp.c_Lambda_OdB_OAbs @t171) @t172)) (= @t171 @t170)))) % 0.29/0.89 (assume @p116 (forall @t149 (or @t176 @t174))) % 0.29/0.89 (assume @p117 (forall @t180 (or (= @t179 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t52 @t14))) @t177))) % 0.29/0.89 (assume @p118 (forall @t184 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t183) (tptp.hAPP @t181 @t21))))) % 0.29/0.89 (assume @p119 (forall @t70 (or @t187 (tptp.c_HOL_Oord__class_Oless @t67 @t129 @t1) (not (tptp.c_HOL_Oord__class_Oless @t67 @t47 @t1)) @t186))) % 0.29/0.89 (assume @p120 (forall (@list @t14 @t146 @t51) (= (tptp.c_Lambda_Oliftn @t14 @t182 @t51) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t14 @t146 @t188))))) % 0.29/0.89 (assume @p121 (forall (@list @t1 @t48 @t189 @t47 @t109) (or @t193 (tptp.c_HOL_Oord__class_Oless @t192 @t191 @t1) (not (tptp.c_HOL_Oord__class_Oless @t189 @t109 @t1)) @t66))) % 0.29/0.89 (assume @p122 (forall (@list @t24 @t51 @t50 @t102) (or (tptp.c_HOL_Oord__class_Oless @t53 (tptp.hAPP @t111 @t102) tptp.tc_nat) @t194 @t60))) % 0.29/0.89 (assume @p123 (forall (@list @t24 @t131) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t178) @t131))))) % 0.29/0.89 (assume @p124 (forall (@list @t1 @t85) (or @t196 (= (tptp.c_List_Ofoldl @t107 @t67 @t85 @t1 @t1) @t195)))) % 0.29/0.89 (assume @p125 (forall @t165 (or @t164 (tptp.c_HOL_Oord__class_Oless @t67 @t134 @t1)))) % 0.29/0.89 (assume @p126 (forall @t100 (or @t164 (tptp.c_HOL_Oord__class_Oless @t48 (tptp.hAPP @t128 @t134) @t1)))) % 0.29/0.89 (assume @p127 (forall @t199 (or @t164 @t198 @t23))) % 0.29/0.89 (assume @p128 (forall @t199 (or @t164 @t22 (not @t198)))) % 0.29/0.89 (assume @p129 (forall @t37 (or @t22 @t33))) % 0.29/0.89 (assume @p130 (forall (@list @t131 @t51) (= (tptp.c_Lambda_Oliftn @t21 @t131 @t51) @t131))) % 0.29/0.89 (assume @p131 (not (tptp.c_HOL_Oord__class_Oless @t21 @t21 tptp.tc_nat))) % 0.29/0.89 (assume @p132 (forall (@list @t131 @t146) (= (tptp.c_Lambda_Osubstn @t131 @t146 @t21) (tptp.hAPP @t200 @t21)))) % 0.29/0.89 (assume @p133 (forall @t201 (or @t164 (tptp.c_HOL_Oord__class_Oless @t47 @t192 @t1) (not (tptp.c_HOL_Oord__class_Oless @t47 @t189 @t1)) @t186))) % 0.29/0.89 (assume @p134 (forall (@list @t86 @t24 @t50) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t147 @t178) @t50))) @t202))) % 0.29/0.89 (assume @p135 (forall (@list @t24 @t50) (not (tptp.c_HOL_Oord__class_Oless @t203 @t24 tptp.tc_nat)))) % 0.29/0.89 (assume @p136 (forall (@list @t50 @t24) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t111 @t24) @t24 tptp.tc_nat)))) % 0.29/0.89 (assume @p137 (forall @t209 (or @t208 (= @t205 @t204)))) % 0.29/0.89 (assume @p138 (forall @t209 (or @t208 (= @t207 @t206)))) % 0.29/0.89 (assume @p139 (forall @t212 (or @t193 @t211 @t66))) % 0.29/0.89 (assume @p140 (forall @t212 (or @t213 @t211 @t66))) % 0.29/0.89 (assume @p141 (forall @t214 (or @t213 @t65 (not @t211)))) % 0.29/0.89 (assume @p142 (forall @t218 (or @t193 @t217 @t66))) % 0.29/0.89 (assume @p143 (forall @t218 (or @t213 @t217 @t66))) % 0.29/0.89 (assume @p144 (forall @t214 (or @t213 @t65 (not @t217)))) % 0.29/0.89 (assume @p145 (forall @t57 (or (tptp.c_HOL_Oord__class_Oless @t53 @t112 tptp.tc_nat) @t60))) % 0.29/0.89 (assume @p146 (forall @t126 (or @t16 (not @t219)))) % 0.29/0.89 (assume @p147 (forall @t121 (or @t219 @t38))) % 0.29/0.89 (assume @p148 (forall (@list @t51 @t156) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t51)) @t156) @t51) @t156))) % 0.29/0.89 (assume @p149 (forall (@list @t93 @t221 @t92 @t131) (or (tptp.c_Type_Otyping @t93 @t221 @t92) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t131) @t221))) @t220))) % 0.29/0.89 (assume @p150 (forall (@list @t170 @t223 @t222) (not (= @t172 @t224)))) % 0.29/0.89 (assume @p151 (forall (@list @t223 @t222 @t170) (not (= @t224 @t172)))) % 0.29/0.89 (assume @p152 (forall (@list @t170 @t87) (not (= @t172 @t225)))) % 0.29/0.89 (assume @p153 (forall @t229 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t228) @t146) @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t200 @t51)) (tptp.hAPP (tptp.hAPP @t226 @t146) @t51))))) % 0.29/0.89 (assume @p154 (forall @t230 (or @t59 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t30 @t1) (tptp.hAPP (tptp.hAPP @t107 @t133) @t197))))) % 0.29/0.89 (assume @p155 (forall (@list @t152 @t85 @t150 @t1) (or (not (= @t232 @t84)) @t231))) % 0.29/0.89 (assume @p156 (forall (@list @t146 @t51) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t182) @t51) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t233 @t188))))) % 0.29/0.89 (assume @p157 (forall (@list @t138 @t14 @t234) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t138 @t238 tptp.tc_Lambda_OdB) @t237))) % 0.29/0.89 (assume @p158 (forall (@list @t131 @t234 @t24 @t50 @t156) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t234) @t24)) (tptp.c_Suc @t50))) (tptp.hAPP (tptp.hAPP @t226 @t234) @t50)) @t24) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t159) @t234) @t50)) @t240))) % 0.29/0.89 (assume @p159 (forall @t199 (or @t59 (= @t197 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (tptp.c_COMBC @t107 @t134 @t1 @t1 @t1) @t14 @t67 @t1))))) % 0.29/0.89 (assume @p160 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.29/0.89 (assume @p161 (forall @t245 (or (= @t244 @t243) @t242))) % 0.29/0.89 (assume @p162 (forall (@list @t131 @t24 @t51) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t167) @t125) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t246) @t24)) (not (tptp.c_HOL_Oord__class_Oless @t24 @t188 tptp.tc_nat))))) % 0.29/0.89 (assume @p163 (forall @t249 (or (= @t248 (tptp.c_Lambda_OdB_OVar @t140)) @t60))) % 0.29/0.89 (assume @p164 (forall @t245 (or (= @t250 @t243) @t242))) % 0.29/0.89 (assume @p165 (forall (@list @t1 @t3 @t251) (or @t196 (= (tptp.hAPP @t252 (tptp.c_List_Ofoldl @t107 @t67 @t251 @t1 @t1)) (tptp.c_List_Ofoldl @t107 @t3 @t251 @t1 @t1))))) % 0.29/0.89 (assume @p166 (forall @t100 (or @t257 @t256 @t254))) % 0.29/0.89 (assume @p167 (forall @t100 (or @t257 @t253 @t258))) % 0.29/0.89 (assume @p168 (forall @t100 (or @t259 @t253 @t258))) % 0.29/0.89 (assume @p169 (forall @t100 (or @t259 @t256 @t254))) % 0.29/0.89 (assume @p170 (forall (@list @t87 @t170) (not (= @t225 @t172)))) % 0.29/0.89 (assume @p171 (forall (@list @t1 @t85 @t48) (or @t261 (= (tptp.c_List_Ofoldr @t107 @t85 @t48 @t1 @t1) @t260)))) % 0.29/0.89 (assume @p172 (forall @t100 (or @t259 (not (= @t255 @t67)) @t262))) % 0.29/0.89 (assume @p173 (forall @t32 (or @t263 @t33))) % 0.29/0.89 (assume @p174 (forall @t32 (or @t263 @t34))) % 0.29/0.89 (assume @p175 (forall @t37 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t235)))) % 0.29/0.89 (assume @p176 (forall (@list @t1 @t152 @t85 @t150) (or (not (= @t84 @t232)) @t231))) % 0.29/0.89 (assume @p177 (forall (@list @t3 @t48) (or (not (= @t3 (tptp.hAPP @t264 @t48))) (= @t48 @t21)))) % 0.29/0.89 (assume @p178 (forall @t32 (or (not (= @t30 @t15)) @t33))) % 0.29/0.89 (assume @p179 (forall (@list @t1 @t3 @t48) (or @t97 @t96 (not (= @t3 (tptp.hAPP @t252 @t48))) @t262))) % 0.29/0.89 (assume @p180 (forall @t230 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t133 @t197)) @t77))) % 0.29/0.89 (assume @p181 (forall (@list @t1 @t3 @t2 @t251) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t107 @t265 @t251 @t1 @t1) (tptp.hAPP @t252 (tptp.c_List_Ofoldl @t107 @t2 @t251 @t1 @t1)))))) % 0.29/0.89 (assume @p182 (forall @t122 (or @t267 (= @t265 (tptp.hAPP @t266 @t3))))) % 0.29/0.89 (assume @p183 (forall (@list @t15 @t102 @t51 @t14) (or (not (= (tptp.hAPP @t29 @t102) @t119)) @t194 @t16))) % 0.29/0.89 (assume @p184 (forall @t32 (= @t30 @t110))) % 0.29/0.89 (assume @p185 (forall @t70 (or @t269 (= @t129 @t268)))) % 0.29/0.89 (assume @p186 (forall (@list @t1 @t48 @t189) (or @t267 (= @t192 @t216)))) % 0.29/0.89 (assume @p187 (forall @t270 (= (tptp.c_Lambda_Osubstn @t145 @t146 @t51) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t131 @t146 @t188))))) % 0.29/0.89 (assume @p188 (forall (@list @t24 @t15 @t50) (or (tptp.c_HOL_Oord__class_Oless @t24 (tptp.hAPP @t29 @t50) tptp.tc_nat) @t60))) % 0.29/0.89 (assume @p189 (forall (@list @t24 @t50 @t15) (or (tptp.c_HOL_Oord__class_Oless @t24 (tptp.hAPP @t111 @t15) tptp.tc_nat) @t60))) % 0.29/0.89 (assume @p190 (forall @t57 (or @t177 (not (tptp.c_HOL_Oord__class_Oless @t203 @t51 tptp.tc_nat))))) % 0.29/0.89 (assume @p191 (forall @t275 (or @t274 (not (tptp.c_HOL_Oord__class_Oless @t3 @t271 tptp.tc_nat))))) % 0.29/0.89 (assume @p192 (forall @t275 (or @t274 (not @t276)))) % 0.29/0.89 (assume @p193 (forall @t282 (or (tptp.c_Type_Otyping @t93 @t131 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t281 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t280))) % 0.29/0.89 (assume @p194 (forall (@list @t283 @t1) (tptp.c_List_Olistsp @t283 @t84 @t1))) % 0.29/0.89 (assume @p195 (forall (@list @t86 @t131 @t24 @t146) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t147 @t131) @t24)) (tptp.hAPP @t181 @t24))) @t284))) % 0.29/0.89 (assume @p196 (forall (@list @t93 @t24 @t92 @t277) (or (tptp.c_Type_Otyping @t93 @t178 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t287 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t286))) % 0.29/0.89 (assume @p197 (forall (@list @t131 @t146 @t14) (= (tptp.c_Lambda_Osubstn @t131 @t146 @t14) (tptp.hAPP (tptp.hAPP @t158 (tptp.c_Lambda_Oliftn @t14 @t146 @t21)) @t14)))) % 0.29/0.89 (assume @p198 (forall @t165 (or @t259 (= (tptp.hAPP @t288 @t67) @t67)))) % 0.29/0.89 (assume @p199 (= (tptp.hAPP @t45 @t21) @t21)) % 0.29/0.89 (assume @p200 (forall @t290 (or @t267 (= @t289 (tptp.hAPP (tptp.hAPP @t107 @t265) @t271))))) % 0.29/0.89 (assume @p201 (forall @t290 (or @t101 (= @t289 (tptp.hAPP @t266 @t291))))) % 0.29/0.89 (assume @p202 (forall @t275 (= (tptp.hAPP @t264 @t273) (tptp.hAPP @t272 @t292)))) % 0.29/0.89 (assume @p203 (forall @t126 (= (tptp.hAPP (tptp.hAPP @t18 @t30) @t51) (tptp.hAPP @t29 @t115)))) % 0.29/0.89 (assume @p204 (forall @t214 (or @t269 @t296))) % 0.29/0.89 (assume @p205 (forall @t214 (or @t269 (= @t293 (tptp.hAPP @t190 @t192))))) % 0.29/0.89 (assume @p206 (forall @t214 (or @t261 @t296))) % 0.29/0.89 (assume @p207 (forall @t300 (or @t267 (= @t299 (tptp.hAPP @t297 @t109))))) % 0.29/0.89 (assume @p208 (forall @t214 (or @t267 (= @t295 (tptp.hAPP @t297 @t47))))) % 0.29/0.89 (assume @p209 (forall @t300 (or @t267 (= @t299 (tptp.hAPP @t215 (tptp.hAPP @t128 @t109)))))) % 0.29/0.89 (assume @p210 (forall @t214 (or @t267 @t296))) % 0.29/0.89 (assume @p211 (forall @t20 (or @t22 @t35 (not @t301)))) % 0.29/0.89 (assume @p212 (forall @t71 (not (tptp.c_HOL_Oord__class_Oless @t15 @t21 tptp.tc_nat)))) % 0.29/0.89 (assume @p213 (forall @t37 (not (tptp.c_HOL_Oord__class_Oless @t14 @t21 tptp.tc_nat)))) % 0.29/0.89 (assume @p214 (forall (@list @t1 @t3 @t2 @t271 @t156) (or @t101 (not (= @t289 (tptp.hAPP @t266 @t156))) (= @t291 @t156)))) % 0.29/0.89 (assume @p215 (forall (@list @t152 @t150 @t48 @t1) (= (tptp.c_List_Ofoldr @t152 @t151 @t48 @t150 @t1) @t48))) % 0.29/0.89 (assume @p216 (forall (@list @t152 @t150 @t1) (= @t302 @t84))) % 0.29/0.89 (assume @p217 (forall @t165 (or @t59 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t75 @t1) @t134)))) % 0.29/0.89 (assume @p218 (forall @t165 (or @t169 (not (= @t67 @t134))))) % 0.29/0.89 (assume @p219 (forall @t304 (= @t148 @t303))) % 0.29/0.89 (assume @p220 (forall @t165 (or @t59 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t21 @t1) @t67)))) % 0.29/0.89 (assume @p221 (forall @t307 (or (= @t306 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t167) @t305) @t239)) @t240))) % 0.29/0.89 (assume @p222 (forall @t70 (or @t187 (tptp.c_HOL_Oord__class_Oless @t129 @t67 @t1) (not (tptp.c_HOL_Oord__class_Oless @t47 @t67 @t1)) @t254))) % 0.29/0.89 (assume @p223 (forall (@list @t1 @t48 @t85) (or @t196 (= @t260 (tptp.hAPP @t128 @t195))))) % 0.29/0.89 (assume @p224 (forall @t275 (or (not (= (tptp.hAPP @t264 @t2) @t292)) @t308))) % 0.29/0.89 (assume @p225 (forall @t117 (or (not (= @t116 @t115)) @t77))) % 0.29/0.89 (assume @p226 (forall @t121 (or (not (= @t120 @t119)) @t77))) % 0.29/0.89 (assume @p227 (forall @t290 (or @t97 @t96 (not (= @t265 @t291)) @t308))) % 0.29/0.89 (assume @p228 (forall @t214 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t310 @t309))) % 0.29/0.89 (assume @p229 (forall @t214 (or @t311 @t310 @t309))) % 0.29/0.89 (assume @p230 (forall @t201 (or @t311 (not (= @t268 @t216)) @t309))) % 0.29/0.89 (assume @p231 (forall @t270 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t145) @t146) @t51) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t233 @t21)) @t188))))) % 0.29/0.89 (assume @p232 (forall @t313 (or @t312 @t174))) % 0.29/0.89 (assume @p233 (forall @t304 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t148)) @t202))) % 0.29/0.89 (assume @p234 (forall (@list @t1 @t48 @t47 @t189 @t109) (or @t267 (= (tptp.hAPP @t294 @t298) (tptp.hAPP @t297 @t191))))) % 0.29/0.89 (assume @p235 (forall (@list @t156 @t146 @t131) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t315 @t146)) (tptp.hAPP @t315 @t131))) @t314))) % 0.29/0.89 (assume @p236 (forall (@list @t146 @t156 @t131) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t316 @t156)) @t228)) @t314))) % 0.29/0.89 (assume @p237 (forall @t136 (or @t164 (not (tptp.c_HOL_Oord__class_Oless @t133 @t67 @t1))))) % 0.29/0.89 (assume @p238 (forall (@list @t14 @t146 @t131 @t51) (= (tptp.c_Lambda_Oliftn @t14 @t317 @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t14 @t146 @t51)) @t132)))) % 0.29/0.89 (assume @p239 (forall (@list @t131 @t51 @t146) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t246) @t146) @t51) @t131))) % 0.29/0.89 (assume @p240 (forall @t304 (= @t303 @t148))) % 0.29/0.89 (assume @p241 (forall (@list @t86 @t24 @t146) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t86) @t24)) @t305)) @t284))) % 0.29/0.89 (assume @p242 (forall @t319 (or @t127 (= (tptp.c_Lambda_Osubstn @t318 @t146 @t3) (tptp.c_Lambda_Oliftn @t3 @t146 @t21))))) % 0.29/0.89 (assume @p243 (forall @t282 (or (tptp.c_Type_Otyping @t93 @t131 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t320 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t280))) % 0.29/0.89 (assume @p244 (forall @t307 (or (= @t306 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t166 @t321)) @t305) @t50)) (not (tptp.c_HOL_Oord__class_Oless @t50 @t321 tptp.tc_nat))))) % 0.29/0.89 (assume @p245 (forall (@list @t1 @t152 @t150) (= @t84 @t302))) % 0.29/0.89 (assume @p246 (forall @t165 (or @t164 (tptp.c_HOL_Oord__class_Oless @t67 (tptp.hAPP @t135 @t134) @t1)))) % 0.29/0.89 (assume @p247 (forall @t98 (or @t267 (= (tptp.hAPP @t288 @t3) @t3)))) % 0.29/0.89 (assume @p248 (forall @t100 (or @t269 @t322))) % 0.29/0.89 (assume @p249 (forall @t64 (= @t3 (tptp.hAPP @t264 @t21)))) % 0.29/0.89 (assume @p250 (forall @t37 (= (tptp.hAPP @t45 @t14) @t14))) % 0.29/0.89 (assume @p251 (forall @t71 (= (tptp.hAPP @t29 @t21) @t15))) % 0.29/0.89 (assume @p252 (forall @t98 (or @t97 @t96 (= @t3 (tptp.hAPP @t252 @t67))))) % 0.29/0.89 (assume @p253 (forall @t100 (or @t269 @t323))) % 0.29/0.89 (assume @p254 (forall @t100 (or @t196 @t322))) % 0.29/0.89 (assume @p255 (forall @t100 (or @t196 @t323))) % 0.29/0.89 (assume @p256 (forall @t100 (or @t267 @t323))) % 0.29/0.89 (assume @p257 (forall @t100 (or @t267 @t322))) % 0.29/0.89 (assume @p258 (forall @t184 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t182) @t145)) @t314))) % 0.29/0.89 (assume @p259 (forall @t229 (= (tptp.c_Lambda_Osubstn @t228 @t146 @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t131 @t146 @t51)) (tptp.c_Lambda_Osubstn @t156 @t146 @t51))))) % 0.29/0.89 (assume @p260 (forall (@list @t93 @t131 @t92 @t156) (or (tptp.c_Type_Otyping @t93 @t131 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t325) @t92)) @t324))) % 0.29/0.89 (assume @p261 (forall @t32 (or @t301 @t23))) % 0.29/0.89 (assume @p262 (forall @t32 (or @t301 @t36))) % 0.29/0.89 (assume @p263 (forall @t100 (or @t259 @t185 (not @t326)))) % 0.29/0.89 (assume @p264 (forall @t100 (or @t259 @t326 @t186))) % 0.29/0.89 (assume @p265 (forall (@list @t328 @t327 @t87) (not (= @t329 @t225)))) % 0.29/0.89 (assume @p266 (forall (@list @t146 @t131 @t14 @t137) (not (= @t183 @t330)))) % 0.29/0.89 (assume @p267 (forall (@list @t331 @t156 @t91 @t24 @t131 @t92) (or (not (tptp.c_Type_Otyping @t331 @t156 @t91)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t331 @t24 @t91 tptp.tc_Type_Otype) @t131 @t92)) (tptp.c_Type_Otyping @t331 @t159 @t92)))) % 0.29/0.89 (assume @p268 (forall @t168 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t227 @t178))) @t153))) % 0.29/0.89 (assume @p269 (forall @t334 (or @t333 @t174))) % 0.29/0.89 (assume @p270 (forall @t337 (or (= @t336 @t178) @t335))) % 0.29/0.89 (assume @p271 (forall @t180 (or (= @t179 @t178) @t335))) % 0.29/0.89 (assume @p272 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.29/0.89 (assume @p273 (forall (@list @t93 @t338 @t92 @t91 @t24 @t277 @t340) (or (tptp.c_Type_Otypings @t93 @t338 @t343) @t342 @t341 @t339))) % 0.29/0.89 (assume @p274 (forall (@list @t86 @t277 @t146) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t86 @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t146 @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t344))) % 0.29/0.89 (assume @p275 (forall @t149 (or @t176 (= @t148 @t146)))) % 0.29/0.89 (assume @p276 (forall (@list @t143 @t3) (tptp.c_Type_Otyping @t143 @t318 (tptp.hAPP @t143 @t3)))) % 0.29/0.89 (assume @p277 (forall (@list @t93 @t156 @t24 @t277 @t340 @t92) (or (tptp.c_Type_Otypings @t93 @t345 @t340) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t93 @t24 @t92 tptp.tc_Type_Otype) @t277 @t340)) (not (tptp.c_Type_Otyping @t93 @t156 @t92))))) % 0.29/0.89 (assume @p278 (forall @t319 (or @t127 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t318) @t146) @t3) @t146)))) % 0.29/0.89 (assume @p279 (forall @t346 (or (tptp.c_Type_Otypings @t93 @t277 @t281) @t280))) % 0.29/0.89 (assume @p280 (forall (@list @t49 @t347 @t150 @t349 @t1 @t348) (= (tptp.hAPP (tptp.c_COMBC @t49 @t347 @t150 @t349 @t1) @t348) (tptp.hAPP (tptp.hAPP @t49 @t348) @t347)))) % 0.29/0.89 (assume @p281 (forall @t337 (or (= @t336 (tptp.c_Lambda_OdB_OVar @t321)) @t177))) % 0.29/0.89 (assume @p282 (forall @t71 (= @t332 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t332 @t173 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.89 (assume @p283 (forall (@list @t93 @t156 @t92 @t131) (or (tptp.c_Type_Otyping @t93 @t156 @t325) @t324))) % 0.29/0.89 (assume @p284 (forall (@list @t1 @t271 @t3 @t2) (or @t352 (tptp.c_HOL_Oord__class_Oless @t271 @t3 @t1) (not (tptp.c_HOL_Oord__class_Oless @t271 @t2 @t1)) @t351))) % 0.29/0.89 (assume @p285 (forall (@list @t1 @t3 @t271 @t2) (or @t353 (tptp.c_HOL_Oord__class_Oless @t3 @t271 @t1) (not (tptp.c_HOL_Oord__class_Oless @t2 @t271 @t1)) @t5))) % 0.29/0.89 (assume @p286 (forall (@list @t234 @t14 @t138) (or (= @t234 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t235 @t238 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t237))) % 0.29/0.89 (assume @p287 (forall (@list @t93 @t131 @t277 @t92 @t340) (or @t279 @t341 (not (tptp.c_Type_Otyping @t93 @t131 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t340 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.29/0.89 (assume @p288 (forall @t245 (or (= @t250 @t178) @t354 @t241))) % 0.29/0.89 (assume @p289 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t356 tptp.v_T_Ha______)) % 0.29/0.89 (assume @p290 (forall (@list @t131 @t277 @t156 @t24) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t278) @t156) @t24) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t159 @t345 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.89 (assume @p291 (forall (@list @t146 @t131 @t51) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t317) @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t233 @t51)) @t246)))) % 0.29/0.89 (assume @p292 (forall (@list @t93 @t24 @t92) (or (= (tptp.hAPP @t93 @t24) @t92) (not (tptp.c_Type_Otyping @t93 @t178 @t92))))) % 0.29/0.89 (assume @p293 (forall @t245 (or (= @t244 @t178) @t354 @t241))) % 0.29/0.89 (assume @p294 (forall (@list @t14 @t277 @t86 @t137) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t235 @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t148 @t137 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.89 (assume @p295 (forall (@list @t87 @t328 @t327) (not (= @t225 @t329)))) % 0.29/0.89 (assume @p296 (forall @t334 (or @t333 (= @t332 @t146)))) % 0.29/0.89 (assume @p297 (forall (@list @t86 @t137 @t146) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t139) @t175)) @t284))) % 0.29/0.89 (assume @p298 (forall @t64 (not @t127))) % 0.29/0.89 (assume @p299 (forall @t37 (not (tptp.c_HOL_Oord__class_Oless @t14 @t14 tptp.tc_nat)))) % 0.29/0.89 (assume @p300 (forall @t98 (or @t352 @t357))) % 0.29/0.89 (assume @p301 (forall @t98 (or @t358 @t357))) % 0.29/0.89 (assume @p302 (forall @t98 (or @t353 @t357))) % 0.29/0.89 (assume @p303 (forall @t359 (or @t257 @t350 @t4 @t90))) % 0.29/0.89 (assume @p304 (forall @t122 (or @t358 @t90 @t350 @t4))) % 0.29/0.89 (assume @p305 (forall @t20 (or @t80 @t16 @t77))) % 0.29/0.89 (assume @p306 (forall (@list @t49 @t14 @t15) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t14) @t15)) @t80 @t77 @t16))) % 0.29/0.89 (assume @p307 (forall (@list @t92 @t91 @t93 @t24 @t277) (or (= @t92 @t91) @t342 @t286))) % 0.29/0.89 (assume @p308 (forall (@list @t2 @t3) (or (tptp.c_HOL_Oord__class_Oless @t2 @t3 tptp.tc_nat) @t276 @t90))) % 0.29/0.89 (assume @p309 (forall @t359 (or @t358 @t350 @t4 @t90))) % 0.29/0.89 (assume @p310 (forall @t359 (or @t358 @t350 @t90 @t4))) % 0.29/0.89 (assume @p311 (forall @t122 (or @t358 @t90 @t4 @t350))) % 0.29/0.89 (assume @p312 (forall @t361 (or @t360 (= @t222 @t327)))) % 0.29/0.89 (assume @p313 (forall @t361 (or @t360 (= @t223 @t328)))) % 0.29/0.89 (assume @p314 (forall (@list @t14 @t138) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t236)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t138 tptp.tc_Lambda_OdB))))) % 0.29/0.89 (assume @p315 (forall @t364 (or @t363 @t362))) % 0.29/0.89 (assume @p316 (forall @t364 (or @t363 @t344))) % 0.29/0.89 (assume @p317 (forall @t313 (or @t312 (= @t146 @t148)))) % 0.29/0.89 (assume @p318 (forall (@list @t143 @t146 @t131 @t91 @t92) (or (tptp.c_Type_Otyping @t143 @t317 @t91) (not (tptp.c_Type_Otyping @t143 @t131 @t92)) (not (tptp.c_Type_Otyping @t143 @t146 @t144))))) % 0.29/0.89 (assume @p319 (forall @t230 (or @t164 @t365 @t38))) % 0.29/0.89 (assume @p320 (forall @t230 (or @t164 @t16 (not @t365)))) % 0.29/0.89 (assume @p321 (forall (@list @t86 @t146 @t131) (or (not (= @t366 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t131 @t173 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t366 @t131)))) % 0.29/0.89 (assume @p322 (forall (@list @t131 @t277 @t24) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t278) @t24) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t167 @t367 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.89 (assume @p323 (forall (@list @t91 @t92 @t93 @t338 @t24 @t277 @t340) (or (= @t91 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t343 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t342 @t341 @t339))) % 0.29/0.89 (assume @p324 (forall @t346 (or (tptp.c_Type_Otypings @t93 @t277 @t320) @t280))) % 0.29/0.89 (assume @p325 (forall @t249 (or (= @t248 @t247) @t368))) % 0.29/0.89 (assume @p326 (forall @t370 (or @t369 @t362))) % 0.29/0.89 (assume @p327 (forall @t370 (or @t369 @t77))) % 0.29/0.89 (assume @p328 (forall @t89 (or (not (= @t225 (tptp.c_Lambda_OdB_OVar @t72))) @t88))) % 0.29/0.89 (assume @p329 (forall (@list @t93 @t277 @t92 @t24) (or (tptp.c_Type_Otypings @t93 @t277 @t287) @t286))) % 0.29/0.89 (assume @p330 (forall (@list @t86 @t146) (= @t366 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t366 @t173 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.89 (assume @p331 (forall (@list @t277) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t21 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t277 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t277 tptp.tc_Lambda_OdB))))) % 0.29/0.89 (assume @p332 (forall (@list @t93 @t24 @t91 @t131 @t92) (or (tptp.c_Type_Otyping @t371 @t167 @t92) @t220))) % 0.29/0.89 (assume @p333 (forall @t70 (or @t352 @t66 @t372))) % 0.29/0.89 (assume @p334 (forall @t122 (or @t358 @t5 @t351))) % 0.29/0.89 (assume @p335 (forall @t359 (or @t353 @t351 @t5))) % 0.29/0.89 (assume @p336 (forall (@list @t1 @t47 @t48) (or @t353 @t372 @t66))) % 0.29/0.89 (assume @p337 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.29/0.89 (assume @p338 (forall @t142 (or (= @t141 (tptp.hAPP @t93 @t50)) @t368))) % 0.29/0.89 (assume @p339 (forall (@list @t93 @t3 @t92 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t93 @t3 @t92 @t1) @t3) @t92))) % 0.29/0.89 (assume @p340 (not (= tptp.v_n____ tptp.v_i____))) % 0.29/0.89 (assume @p341 @t376) % 0.29/0.89 (assume @p342 @t377) % 0.29/0.89 (assume @p343 (forall (@list @t93 @t24 @t91 @t277 @t340) (or (tptp.c_Type_Otypings @t371 @t367 @t340) @t341))) % 0.29/0.89 (assume @p344 (not tptp.v_thesis____)) % 0.29/0.89 (assume @p345 (forall @t64 (or tptp.v_thesis____ (not (tptp.c_Type_Otypings @t373 tptp.v_rs____ @t3))))) % 0.29/0.89 (assume @p346 (forall @t381 (or (tptp.class_Orderings_Opreorder @t380) (not (tptp.class_Orderings_Opreorder @t378))))) % 0.29/0.89 (assume @p347 (forall @t381 (or (tptp.class_Orderings_Oorder @t380) (not (tptp.class_Orderings_Oorder @t378))))) % 0.29/0.89 (assume @p348 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.89 (assume @p349 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.29/0.89 (assume @p350 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.29/0.89 (assume @p351 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.89 (assume @p352 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.29/0.89 (assume @p353 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.29/0.89 (assume @p354 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.29/0.89 (assume @p355 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.29/0.89 (assume @p356 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.29/0.89 (assume @p357 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.29/0.89 (assume @p358 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.29/0.89 (assume @p359 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.29/0.89 (assume @p360 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.29/0.89 (assume @p361 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.29/0.89 (assume @p362 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.29/0.89 (assume @p363 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.29/0.89 (assume @p364 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.29/0.89 (assume @p365 (forall (@list @t3 @t1) (tptp.c_fequal @t3 @t3 @t1))) % 0.29/0.89 (assume @p366 (forall (@list @t383 @t382 @t1) (or (= @t383 @t382) (not (tptp.c_fequal @t383 @t382 @t1))))) % 0.29/0.89 (step @p367 :rule quant-miniscope-or :args ((= @t376 (or tptp.v_thesis____ @t384)))) % 0.29/0.89 (step @p368 :rule eq_resolve :premises (@p341 @p367)) % 0.29/0.89 (step @p369 :rule chain_m_resolution :premises (@p368 @p344) :args (@t384 (@list true) (@list tptp.v_thesis____))) % 0.29/0.89 (step @p370 :rule instantiate :premises (@p279) :args ((@list @t373 tptp.v_rs____ tptp.v_T_H____ @t355))) % 0.29/0.89 (step @p371 :rule cnf_or_pos :args (@t388)) % 0.29/0.89 (step @p372 :rule reordering :premises (@p371) :args ((or @t385 @t387 (not @t388)))) % 0.29/0.89 (step @p373 :rule chain_m_resolution :premises (@p372 @p342 @p370) :args (@t387 @t389 (@list @t377 @t388))) % 0.29/0.89 (assume-push @p380 @t384) % 0.29/0.89 (step @p375 :rule instantiate :premises (@p369) :args ((@list @t386))) % 0.29/0.89 (step-pop @p381 :rule scope :premises (@p375)) % 0.29/0.89 (step @p376 :rule process_scope :premises (@p381) :args ((not @t387))) % 0.29/0.89 (step @p378 :rule implies_elim :premises (@p376)) % 0.29/0.89 (step @p379 false :rule chain_m_resolution :premises (@p378 @p373 @p369) :args (false @t389 (@list @t387 @t384))) % 0.29/0.89 ) % 0.29/0.89 % SZS output end Proof % 0.29/0.89 % cvc5 exiting %------------------------------------------------------------------------------