%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL787-1 : 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 : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:51 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.82s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL787-1 : 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 % 0.09/0.36 % Computer : n017.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 14:51:50 UTC 2026 % 0.09/0.36 % CPUTime : % 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.82 % SZS status Unsatisfiable % 0.53/0.82 % SZS output start Proof % 0.53/0.85 ( % 0.53/0.85 (declare-sort $$unsorted 0) % 0.53/0.85 (declare-const tptp.tc_bool $$unsorted) % 0.53/0.85 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_ea______ $$unsorted) % 0.53/0.85 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_Ts____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_ua______ $$unsorted) % 0.53/0.85 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.t_a $$unsorted) % 0.53/0.85 (declare-const tptp.v_a____ $$unsorted) % 0.53/0.85 (declare-const tptp.v_as____ $$unsorted) % 0.53/0.85 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.53/0.85 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.v_rs____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_thesis____ Bool) % 0.53/0.85 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.53/0.85 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_ia______ $$unsorted) % 0.53/0.85 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.53/0.85 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.53/0.85 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_i____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.tc_nat $$unsorted) % 0.53/0.85 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_T_H____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.v_n____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.53/0.85 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_u____ $$unsorted) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_T____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.v_e____ $$unsorted) % 0.53/0.85 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.85 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.85 (define @t1 () (@var "T_a" $$unsorted)) % 0.53/0.85 (define @t2 () (@var "V_a" $$unsorted)) % 0.53/0.85 (define @t3 () (@var "V_r" $$unsorted)) % 0.53/0.85 (define @t4 () (tptp.c_Wellfounded_Oaccp @t3 @t2 @t1)) % 0.53/0.85 (define @t5 () (not @t4)) % 0.53/0.85 (define @t6 () (@var "V_b" $$unsorted)) % 0.53/0.85 (define @t7 () (tptp.c_Transitive__Closure_Ortranclp @t3 @t1)) % 0.53/0.85 (define @t8 () (tptp.hAPP @t7 @t6)) % 0.53/0.85 (define @t9 () (not (tptp.hBOOL (tptp.hAPP @t8 @t2)))) % 0.53/0.85 (define @t10 () (tptp.c_Wellfounded_Oaccp @t3 @t6 @t1)) % 0.53/0.85 (define @t11 () (@list @t3 @t6 @t1 @t2)) % 0.53/0.85 (define @t12 () (@var "V_x" $$unsorted)) % 0.53/0.85 (define @t13 () (tptp.hAPP @t7 @t12)) % 0.53/0.85 (define @t14 () (tptp.hAPP @t7 @t2)) % 0.53/0.85 (define @t15 () (@var "V_n" $$unsorted)) % 0.53/0.85 (define @t16 () (@var "V_m" $$unsorted)) % 0.53/0.85 (define @t17 () (= @t16 @t15)) % 0.53/0.85 (define @t18 () (@var "V_y" $$unsorted)) % 0.53/0.85 (define @t19 () (not (= (tptp.c_List_Oreplicate @t16 @t12 @t1) (tptp.c_List_Oreplicate @t15 @t18 @t1)))) % 0.53/0.85 (define @t20 () (@list @t16 @t12 @t1 @t15 @t18)) % 0.53/0.85 (define @t21 () (tptp.c_List_Olist_ONil @t1)) % 0.53/0.85 (define @t22 () (@var "V_A" $$unsorted)) % 0.53/0.85 (define @t23 () (@var "V_xa" $$unsorted)) % 0.53/0.85 (define @t24 () (tptp.hAPP @t3 @t18)) % 0.53/0.85 (define @t25 () (@var "V_xs" $$unsorted)) % 0.53/0.85 (define @t26 () (tptp.c_List_Olist_OCons @t12 @t25 @t1)) % 0.53/0.85 (define @t27 () (@var "V_ys" $$unsorted)) % 0.53/0.85 (define @t28 () (tptp.c_List_Olist_OCons @t18 @t27 @t1)) % 0.53/0.85 (define @t29 () (not (tptp.c_ListOrder_Ostep1 @t3 @t28 @t26 @t1))) % 0.53/0.85 (define @t30 () (= @t25 @t27)) % 0.53/0.85 (define @t31 () (= @t12 @t18)) % 0.53/0.85 (define @t32 () (tptp.c_List_Oappend @t25 @t27 @t1)) % 0.53/0.85 (define @t33 () (tptp.c_List_Olistsp @t22 @t32 @t1)) % 0.53/0.85 (define @t34 () (not @t33)) % 0.53/0.85 (define @t35 () (tptp.c_List_Olistsp @t22 @t27 @t1)) % 0.53/0.85 (define @t36 () (tptp.c_List_Olistsp @t22 @t25 @t1)) % 0.53/0.85 (define @t37 () (@list @t1)) % 0.53/0.85 (define @t38 () (@var "V_us" $$unsorted)) % 0.53/0.85 (define @t39 () (@var "V_vs" $$unsorted)) % 0.53/0.85 (define @t40 () (tptp.c_List_Oappend @t25 @t12 @t1)) % 0.53/0.85 (define @t41 () (tptp.c_ListOrder_Ostep1 @t3 @t27 @t25 @t1)) % 0.53/0.85 (define @t42 () (not @t41)) % 0.53/0.85 (define @t43 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.53/0.85 (define @t44 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.53/0.85 (define @t45 () (tptp.hAPP @t44 @t43)) % 0.53/0.85 (define @t46 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.53/0.85 (define @t47 () (@var "V_z" $$unsorted)) % 0.53/0.85 (define @t48 () (tptp.hAPP @t44 @t12)) % 0.53/0.85 (define @t49 () (tptp.hAPP @t48 @t18)) % 0.53/0.85 (define @t50 () (tptp.hAPP @t44 @t18)) % 0.53/0.85 (define @t51 () (tptp.hAPP @t48 (tptp.hAPP @t50 @t47))) % 0.53/0.85 (define @t52 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.53/0.85 (define @t53 () (@list @t1 @t12 @t18 @t47)) % 0.53/0.85 (define @t54 () (tptp.hAPP @t48 @t47)) % 0.53/0.85 (define @t55 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.53/0.85 (define @t56 () (@var "V_c" $$unsorted)) % 0.53/0.85 (define @t57 () (tptp.hAPP @t44 @t6)) % 0.53/0.85 (define @t58 () (tptp.hAPP @t57 @t56)) % 0.53/0.85 (define @t59 () (tptp.hAPP @t44 @t2)) % 0.53/0.85 (define @t60 () (tptp.hAPP @t59 @t58)) % 0.53/0.85 (define @t61 () (tptp.hAPP @t59 @t6)) % 0.53/0.85 (define @t62 () (tptp.hAPP @t44 @t61)) % 0.53/0.85 (define @t63 () (tptp.hAPP @t62 @t56)) % 0.53/0.85 (define @t64 () (= @t63 @t60)) % 0.53/0.85 (define @t65 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.53/0.85 (define @t66 () (@list @t1 @t2 @t6 @t56)) % 0.53/0.85 (define @t67 () (tptp.hAPP @t59 @t56)) % 0.53/0.85 (define @t68 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.53/0.85 (define @t69 () (@var "V_d" $$unsorted)) % 0.53/0.85 (define @t70 () (tptp.hAPP @t44 @t67)) % 0.53/0.85 (define @t71 () (tptp.hAPP @t44 @t56)) % 0.53/0.85 (define @t72 () (tptp.hAPP @t71 @t69)) % 0.53/0.85 (define @t73 () (tptp.hAPP @t59 @t72)) % 0.53/0.85 (define @t74 () (@list @t1 @t2 @t56 @t69)) % 0.53/0.85 (define @t75 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3 @t2) @t6)))) % 0.53/0.85 (define @t76 () (@var "T_b" $$unsorted)) % 0.53/0.85 (define @t77 () (tptp.c_Predicate_Oconversep @t3 @t1 @t76)) % 0.53/0.85 (define @t78 () (@var "V_a2" $$unsorted)) % 0.53/0.85 (define @t79 () (@var "V_a1" $$unsorted)) % 0.53/0.85 (define @t80 () (tptp.hAPP @t3 @t6)) % 0.53/0.85 (define @t81 () (tptp.hBOOL (tptp.hAPP @t80 @t2))) % 0.53/0.85 (define @t82 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2) @t6))) % 0.53/0.85 (define @t83 () (@var "V_u" $$unsorted)) % 0.53/0.85 (define @t84 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t3 @t1 @t1) @t1) @t12) @t18))) % 0.53/0.85 (define @t85 () (tptp.hAPP @t7 @t18)) % 0.53/0.85 (define @t86 () (tptp.hBOOL (tptp.hAPP @t85 @t12))) % 0.53/0.85 (define @t87 () (@list @t3 @t1 @t12 @t18)) % 0.53/0.85 (define @t88 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.53/0.85 (define @t89 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.53/0.85 (define @t90 () (= @t6 @t56)) % 0.53/0.85 (define @t91 () (not (= @t61 @t67))) % 0.53/0.85 (define @t92 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.53/0.85 (define @t93 () (tptp.hAPP @t71 @t2)) % 0.53/0.85 (define @t94 () (tptp.hAPP @t57 @t2)) % 0.53/0.85 (define @t95 () (@list @t1 @t6 @t2 @t56)) % 0.53/0.85 (define @t96 () (tptp.hBOOL (tptp.hAPP @t24 @t12))) % 0.53/0.85 (define @t97 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.53/0.85 (define @t98 () (= @t15 @t97)) % 0.53/0.85 (define @t99 () (tptp.c_List_Oreplicate @t15 @t12 @t1)) % 0.53/0.85 (define @t100 () (@list @t15 @t12 @t1)) % 0.53/0.85 (define @t101 () (tptp.hAPP @t57 @t69)) % 0.53/0.85 (define @t102 () (tptp.c_List_Oreplicate @t97 @t12 @t1)) % 0.53/0.85 (define @t103 () (= @t25 @t21)) % 0.53/0.85 (define @t104 () (tptp.c_List_Orev @t25 @t1)) % 0.53/0.85 (define @t105 () (@list @t25 @t1)) % 0.53/0.85 (define @t106 () (@list @t1 @t12)) % 0.53/0.85 (define @t107 () (= (tptp.hAPP @t45 @t2) @t2)) % 0.53/0.85 (define @t108 () (@list @t1 @t2)) % 0.53/0.85 (define @t109 () (= (tptp.hAPP @t59 @t43) @t2)) % 0.53/0.85 (define @t110 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.53/0.85 (define @t111 () (tptp.c_List_Orev @t21 @t1)) % 0.53/0.85 (define @t112 () (tptp.c_List_Orev @t27 @t1)) % 0.53/0.85 (define @t113 () (@list @t25 @t27 @t1)) % 0.53/0.85 (define @t114 () (tptp.hBOOL (tptp.hAPP @t13 @t18))) % 0.53/0.85 (define @t115 () (@var "V_t" $$unsorted)) % 0.53/0.85 (define @t116 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t115)))) % 0.53/0.85 (define @t117 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t118 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t3))) % 0.53/0.85 (define @t119 () (@list @t3)) % 0.53/0.85 (define @t120 () (tptp.c_List_Orotate1 @t25 @t1)) % 0.53/0.85 (define @t121 () (tptp.c_List_Orev @t104 @t1)) % 0.53/0.85 (define @t122 () (@list @t27 @t1)) % 0.53/0.85 (define @t123 () (tptp.tc_List_Olist @t1)) % 0.53/0.85 (define @t124 () (tptp.c_Nat_Osize__class_Osize @t25 @t123)) % 0.53/0.85 (define @t125 () (@list @t25 @t1 @t27)) % 0.53/0.85 (define @t126 () (@list @t1 @t2 @t6)) % 0.53/0.85 (define @t127 () (@list @t1 @t12 @t18)) % 0.53/0.85 (define @t128 () (@var "V_zs" $$unsorted)) % 0.53/0.85 (define @t129 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1)) % 0.53/0.85 (define @t130 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t1)) % 0.53/0.85 (define @t131 () (@list @t1 @t16 @t15)) % 0.53/0.85 (define @t132 () (= @t2 @t43)) % 0.53/0.85 (define @t133 () (tptp.hAPP @t59 @t2)) % 0.53/0.85 (define @t134 () (tptp.c_List_Otake @t15 @t25 @t1)) % 0.53/0.85 (define @t135 () (tptp.c_List_Obutlast @t25 @t1)) % 0.53/0.85 (define @t136 () (@list @t15 @t25 @t1)) % 0.53/0.85 (define @t137 () (tptp.c_fequal @t1)) % 0.53/0.85 (define @t138 () (@list @t3 @t27 @t25 @t1 @t18 @t12)) % 0.53/0.85 (define @t139 () (@var "V_k" $$unsorted)) % 0.53/0.85 (define @t140 () (tptp.c_List_Oreplicate @t139 @t12 @t1)) % 0.53/0.85 (define @t141 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.53/0.85 (define @t142 () (not @t141)) % 0.53/0.85 (define @t143 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.53/0.85 (define @t144 () (@list @t1 @t25)) % 0.53/0.85 (define @t145 () (tptp.c_HOL_Oord__class_Oless @t67 @t58 @t1)) % 0.53/0.85 (define @t146 () (@list @t1 @t2 @t56 @t6)) % 0.53/0.85 (define @t147 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.53/0.85 (define @t148 () (tptp.c_HOL_Oord__class_Oless @t93 (tptp.hAPP @t71 @t6) @t1)) % 0.53/0.85 (define @t149 () (@list @t1 @t56 @t2 @t6)) % 0.53/0.85 (define @t150 () (tptp.hBOOL (tptp.hAPP @t14 @t56))) % 0.53/0.85 (define @t151 () (@list @t3 @t1 @t2 @t56 @t6)) % 0.53/0.85 (define @t152 () (tptp.c_List_Olast @t25 @t1)) % 0.53/0.85 (define @t153 () (tptp.c_HOL_Oord__class_Oless @t43 @t2 @t1)) % 0.53/0.85 (define @t154 () (not @t153)) % 0.53/0.85 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t43 @t133 @t1)) % 0.53/0.85 (define @t156 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.53/0.85 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t2 @t43 @t1)) % 0.53/0.85 (define @t158 () (not @t157)) % 0.53/0.85 (define @t159 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.53/0.85 (define @t160 () (tptp.c_HOL_Oord__class_Oless @t133 @t43 @t1)) % 0.53/0.85 (define @t161 () (not @t160)) % 0.53/0.85 (define @t162 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.53/0.85 (define @t163 () (tptp.c_HOL_Oord__class_Oless @t16 @t15 tptp.tc_nat)) % 0.53/0.85 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t130 @t129 @t1)) % 0.53/0.85 (define @t165 () (@list @t12 @t1)) % 0.53/0.85 (define @t166 () (tptp.c_Nat_Osize__class_Osize @t21 @t123)) % 0.53/0.85 (define @t167 () (tptp.c_List_Olist_OCons @t12 @t21 @t1)) % 0.53/0.85 (define @t168 () (tptp.c_List_Orev @t167 @t1)) % 0.53/0.85 (define @t169 () (@list @t12 @t25 @t1)) % 0.53/0.85 (define @t170 () (= @t25 @t167)) % 0.53/0.85 (define @t171 () (= @t128 @t26)) % 0.53/0.85 (define @t172 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t12 @t25 @t27 @t128 @t1)) % 0.53/0.85 (define @t173 () (= (tptp.c_List_Oappend @t172 @t128 @t1) @t25)) % 0.53/0.85 (define @t174 () (tptp.c_List_Oappend @t27 @t128 @t1)) % 0.53/0.85 (define @t175 () (not (= @t174 @t26))) % 0.53/0.85 (define @t176 () (@list @t27 @t128 @t1 @t12 @t25)) % 0.53/0.85 (define @t177 () (= @t26 @t128)) % 0.53/0.85 (define @t178 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t12 @t25 @t27 @t128 @t1)) % 0.53/0.85 (define @t179 () (= (tptp.c_List_Olist_OCons @t12 @t178 @t1) @t27)) % 0.53/0.85 (define @t180 () (not (= @t26 @t174))) % 0.53/0.85 (define @t181 () (@list @t12 @t25 @t1 @t27 @t128)) % 0.53/0.85 (define @t182 () (= @t27 (tptp.c_List_Olist_OCons @t12 @t172 @t1))) % 0.53/0.85 (define @t183 () (= @t25 (tptp.c_List_Oappend @t178 @t128 @t1))) % 0.53/0.85 (define @t184 () (tptp.c_List_Oappend @t25 @t21 @t1)) % 0.53/0.85 (define @t185 () (= @t27 @t21)) % 0.53/0.85 (define @t186 () (@var "V_s_H" $$unsorted)) % 0.53/0.85 (define @t187 () (@var "V_s" $$unsorted)) % 0.53/0.85 (define @t188 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t189 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t187) @t186)))) % 0.53/0.85 (define @t190 () (@var "V_t_H" $$unsorted)) % 0.53/0.85 (define @t191 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t115) @t190)))) % 0.53/0.85 (define @t192 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t186)) % 0.53/0.85 (define @t193 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t187)) % 0.53/0.85 (define @t194 () (tptp.hAPP @t193 @t115)) % 0.53/0.85 (define @t195 () (tptp.hAPP @t188 @t194)) % 0.53/0.85 (define @t196 () (tptp.c_Lambda_OdB_OAbs @t187)) % 0.53/0.85 (define @t197 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t3) @t187)) % 0.53/0.85 (define @t198 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t199 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t3) @t187)))) % 0.53/0.85 (define @t200 () (@var "V_i" $$unsorted)) % 0.53/0.85 (define @t201 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 (tptp.c_Lambda_Osubst @t115 @t3 @t200)) (tptp.c_Lambda_Osubst @t115 @t187 @t200)))) % 0.53/0.85 (define @t202 () (@list @t115 @t3 @t200 @t187)) % 0.53/0.85 (define @t203 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t3) @t187)))) % 0.53/0.85 (define @t204 () (tptp.c_Lambda_Osubst @t187 @t115 @t200)) % 0.53/0.85 (define @t205 () (tptp.c_Lambda_Osubst @t3 @t115 @t200)) % 0.53/0.85 (define @t206 () (@list @t3 @t115 @t200 @t187)) % 0.53/0.85 (define @t207 () (@var "V_v" $$unsorted)) % 0.53/0.85 (define @t208 () (@var "V_rs" $$unsorted)) % 0.53/0.85 (define @t209 () (tptp.c_Lambda_OdB_OVar @t15)) % 0.53/0.85 (define @t210 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t208 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t211 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t210) @t207)))) % 0.53/0.85 (define @t212 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t15 @t208 @t207)) % 0.53/0.85 (define @t213 () (@var "V_T" $$unsorted)) % 0.53/0.85 (define @t214 () (@var "V_e" $$unsorted)) % 0.53/0.85 (define @t215 () (not (tptp.c_Type_Otyping @t214 @t115 @t213))) % 0.53/0.85 (define @t216 () (tptp.c_Type_Otyping @t214 @t190 @t213)) % 0.53/0.85 (define @t217 () (@list @t214 @t190 @t213 @t115)) % 0.53/0.85 (define @t218 () (tptp.c_Lambda_Olift @t187 @t200)) % 0.53/0.85 (define @t219 () (tptp.c_Lambda_Olift @t3 @t200)) % 0.53/0.85 (define @t220 () (@list @t3 @t200 @t187)) % 0.53/0.85 (define @t221 () (tptp.c_List_Ofoldl @t44 @t2 @t25 @t1 @t1)) % 0.53/0.85 (define @t222 () (= @t3 @t187)) % 0.53/0.85 (define @t223 () (@var "V_ts" $$unsorted)) % 0.53/0.85 (define @t224 () (tptp.c_Lambda_OdB_OVar @t200)) % 0.53/0.85 (define @t225 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t224 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t226 () (not (tptp.c_Type_Otyping @t214 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t225 @t38 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t213))) % 0.53/0.85 (define @t227 () (@var "V_Ts" $$unsorted)) % 0.53/0.85 (define @t228 () (not (tptp.c_Type_Otypings @t214 @t223 @t227))) % 0.53/0.85 (define @t229 () (@var "V_U" $$unsorted)) % 0.53/0.85 (define @t230 () (not (tptp.c_Type_Otyping @t214 @t225 @t229))) % 0.53/0.85 (define @t231 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t213 @t229 @t214 @t38)) % 0.53/0.85 (define @t232 () (not @t118)) % 0.53/0.85 (define @t233 () (tptp.c_Lambda_OdB_OAbs @t3)) % 0.53/0.85 (define @t234 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t187) @t115)))) % 0.53/0.85 (define @t235 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t83)) % 0.53/0.85 (define @t236 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t115)) % 0.53/0.85 (define @t237 () (tptp.hAPP @t236 @t83)) % 0.53/0.85 (define @t238 () (tptp.c_Lambda_Olift @t115 @t139)) % 0.53/0.85 (define @t239 () (@list @t25 @t12 @t1)) % 0.53/0.85 (define @t240 () (tptp.c_List_Oappend @t21 @t26 @t1)) % 0.53/0.85 (define @t241 () (@list @t115 @t200)) % 0.53/0.85 (define @t242 () (tptp.c_List_Oappend @t21 @t21 @t1)) % 0.53/0.85 (define @t243 () (@var "V_ss" $$unsorted)) % 0.53/0.85 (define @t244 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t245 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t196) @t115)) % 0.53/0.85 (define @t246 () (tptp.c_Lambda_OdB_OAbs @t115)) % 0.53/0.85 (define @t247 () (@list @t187 @t115)) % 0.53/0.85 (define @t248 () (@var "V_f" $$unsorted)) % 0.53/0.85 (define @t249 () (tptp.c_List_Oappend @t25 @t27 @t76)) % 0.53/0.85 (define @t250 () (@var "V_nat" $$unsorted)) % 0.53/0.85 (define @t251 () (@var "V_f1" $$unsorted)) % 0.53/0.85 (define @t252 () (tptp.hAPP @t251 @t250)) % 0.53/0.85 (define @t253 () (tptp.c_Type_Otype_OAtom @t250)) % 0.53/0.85 (define @t254 () (@var "V_f2" $$unsorted)) % 0.53/0.85 (define @t255 () (@list @t251 @t254 @t250 @t1)) % 0.53/0.85 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t43 @t129 @t1)) % 0.53/0.85 (define @t257 () (tptp.c_HOL_Oord__class_Oless @t97 @t15 tptp.tc_nat)) % 0.53/0.85 (define @t258 () (@list @t1 @t15)) % 0.53/0.85 (define @t259 () (tptp.c_List_Ofoldr @t44 @t25 @t43 @t1 @t1)) % 0.53/0.85 (define @t260 () (tptp.c_Lambda_OdB_OVar @t16)) % 0.53/0.85 (define @t261 () (@list @t16)) % 0.53/0.85 (define @t262 () (= @t243 @t198)) % 0.53/0.85 (define @t263 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t264 () (not (= @t260 @t263))) % 0.53/0.85 (define @t265 () (@list @t16 @t187 @t243)) % 0.53/0.85 (define @t266 () (not (= @t233 @t263))) % 0.53/0.85 (define @t267 () (@list @t3 @t187 @t243)) % 0.53/0.85 (define @t268 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 @t198 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t269 () (not (= @t263 @t233))) % 0.53/0.85 (define @t270 () (@list @t187 @t243 @t3)) % 0.53/0.85 (define @t271 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t3 @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t272 () (@list @t3 @t243 @t187)) % 0.53/0.85 (define @t273 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t233) @t187) @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t274 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t3 @t187 @t97) @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t275 () (tptp.c_List_Oappend @t25 @t167 @t1)) % 0.53/0.85 (define @t276 () (tptp.c_List_Olist_OCons @t18 @t21 @t1)) % 0.53/0.85 (define @t277 () (tptp.c_List_Oappend @t27 @t276 @t1)) % 0.53/0.85 (define @t278 () (not (tptp.c_ListOrder_Ostep1 @t3 @t277 @t275 @t1))) % 0.53/0.85 (define @t279 () (= @t18 @t12)) % 0.53/0.85 (define @t280 () (= @t27 @t25)) % 0.53/0.85 (define @t281 () (tptp.c_List_Oappend @t112 @t276 @t1)) % 0.53/0.85 (define @t282 () (tptp.c_List_Olist_ONil @t76)) % 0.53/0.85 (define @t283 () (tptp.c_List_Olist_OCons @t12 @t25 @t76)) % 0.53/0.85 (define @t284 () (tptp.c_List_Oreplicate @t200 @t12 @t1)) % 0.53/0.85 (define @t285 () (@var "V_P" $$unsorted)) % 0.53/0.85 (define @t286 () (tptp.hBOOL (tptp.hAPP @t285 @t252))) % 0.53/0.85 (define @t287 () (@var "V_xc" $$unsorted)) % 0.53/0.85 (define @t288 () (@var "V_list_H" $$unsorted)) % 0.53/0.85 (define @t289 () (@var "V_a_H" $$unsorted)) % 0.53/0.85 (define @t290 () (tptp.c_List_Olist_OCons @t289 @t288 @t1)) % 0.53/0.85 (define @t291 () (tptp.c_List_Olist_OCons @t12 @t23 @t1)) % 0.53/0.85 (define @t292 () (@var "V_xs1" $$unsorted)) % 0.53/0.85 (define @t293 () (tptp.c_List_Oappend @t291 @t128 @t1)) % 0.53/0.85 (define @t294 () (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Oappend @t23 @t128 @t1) @t1)) % 0.53/0.85 (define @t295 () (@var "V_dB2" $$unsorted)) % 0.53/0.85 (define @t296 () (@var "V_f3" $$unsorted)) % 0.53/0.85 (define @t297 () (@var "V_dB1" $$unsorted)) % 0.53/0.85 (define @t298 () (tptp.hAPP (tptp.hAPP @t254 @t297) @t295)) % 0.53/0.85 (define @t299 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t297) @t295)) % 0.53/0.85 (define @t300 () (@list @t251 @t254 @t296 @t297 @t295 @t1)) % 0.53/0.85 (define @t301 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t285)) % 0.53/0.85 (define @t302 () (tptp.hBOOL (tptp.hAPP @t285 @t213))) % 0.53/0.85 (define @t303 () (tptp.c_Lambda_OdB_OVar @t12)) % 0.53/0.85 (define @t304 () (tptp.c_HOL_Oord__class_Oless @t12 @t12 tptp.tc_nat)) % 0.53/0.85 (define @t305 () (tptp.c_Type_Otyping @t214 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t115 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t213)) % 0.53/0.85 (define @t306 () (not @t305)) % 0.53/0.85 (define @t307 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t213 @t214 @t115 @t223)) % 0.53/0.85 (define @t308 () (@list @t214 @t223 @t213 @t115)) % 0.53/0.85 (define @t309 () (@list @t15)) % 0.53/0.85 (define @t310 () (not (tptp.c_Type_Otyping @t214 @t237 @t213))) % 0.53/0.85 (define @t311 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t213 @t214 @t115 @t83)) % 0.53/0.85 (define @t312 () (tptp.c_HOL_Oord__class_Oless @t18 @t12 @t1)) % 0.53/0.85 (define @t313 () (not @t312)) % 0.53/0.85 (define @t314 () (not (tptp.class_Orderings_Oorder @t1))) % 0.53/0.85 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t12 @t18 @t1)) % 0.53/0.85 (define @t316 () (not @t315)) % 0.53/0.85 (define @t317 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.53/0.85 (define @t318 () (not (tptp.c_Type_Otyping @t214 @t246 @t213))) % 0.53/0.85 (define @t319 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t213 @t214 @t115)) % 0.53/0.85 (define @t320 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t213 @t214 @t115)) % 0.53/0.85 (define @t321 () (@var "V_dB" $$unsorted)) % 0.53/0.85 (define @t322 () (tptp.hAPP @t296 @t321)) % 0.53/0.85 (define @t323 () (tptp.c_Lambda_OdB_OAbs @t321)) % 0.53/0.85 (define @t324 () (@list @t251 @t254 @t296 @t321 @t1)) % 0.53/0.85 (define @t325 () (= @t27 @t128)) % 0.53/0.85 (define @t326 () (@list @t25 @t27 @t1 @t128)) % 0.53/0.85 (define @t327 () (tptp.c_List_Oappend @t21 @t27 @t1)) % 0.53/0.85 (define @t328 () (@var "V_nat_H" $$unsorted)) % 0.53/0.85 (define @t329 () (= @t250 @t328)) % 0.53/0.85 (define @t330 () (@list @t250 @t328)) % 0.53/0.85 (define @t331 () (tptp.c_Lambda_Olift @t115 @t200)) % 0.53/0.85 (define @t332 () (not (= @t21 @t32))) % 0.53/0.85 (define @t333 () (@list @t1 @t25 @t27)) % 0.53/0.85 (define @t334 () (@var "V_dB_H" $$unsorted)) % 0.53/0.85 (define @t335 () (tptp.c_Lambda_OdB_OAbs @t334)) % 0.53/0.85 (define @t336 () (not (= @t32 @t21))) % 0.53/0.85 (define @t337 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t12 @t1))) % 0.53/0.85 (define @t338 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.53/0.85 (define @t339 () (@list @t1 @t18 @t12)) % 0.53/0.85 (define @t340 () (tptp.c_HOL_Oord__class_Oless @t15 @t16 tptp.tc_nat)) % 0.53/0.85 (define @t341 () (@var "V_dB2_H" $$unsorted)) % 0.53/0.85 (define @t342 () (@var "V_dB1_H" $$unsorted)) % 0.53/0.85 (define @t343 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t342) @t341)) % 0.53/0.85 (define @t344 () (not (= @t299 @t343))) % 0.53/0.85 (define @t345 () (@list @t297 @t295 @t342 @t341)) % 0.53/0.85 (define @t346 () (= @t208 @t243)) % 0.53/0.85 (define @t347 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 @t208 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t196 @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.53/0.85 (define @t348 () (@list @t3 @t208 @t187 @t243)) % 0.53/0.85 (define @t349 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t213 @t214 @t115 @t223)) % 0.53/0.85 (define @t350 () (@var "V_j" $$unsorted)) % 0.53/0.85 (define @t351 () (not (tptp.c_HOL_Oord__class_Oless @t350 @t200 tptp.tc_nat))) % 0.53/0.85 (define @t352 () (tptp.c_Lambda_OdB_OVar @t350)) % 0.53/0.85 (define @t353 () (@var "V_xb" $$unsorted)) % 0.53/0.85 (define @t354 () (@var "V_list" $$unsorted)) % 0.53/0.85 (define @t355 () (not (= (tptp.c_List_Olist_OCons @t2 @t354 @t1) @t290))) % 0.53/0.85 (define @t356 () (@list @t2 @t354 @t1 @t289 @t288)) % 0.53/0.85 (define @t357 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t260 @t208 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t244))) % 0.53/0.85 (define @t358 () (@list @t16 @t208 @t15 @t243)) % 0.53/0.85 (define @t359 () (not (tptp.c_Type_Otyping @t214 @t225 @t213))) % 0.53/0.85 (define @t360 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t213 @t214 @t200 @t223)) % 0.53/0.85 (define @t361 () (not (= @t275 @t277))) % 0.53/0.85 (define @t362 () (@list @t25 @t12 @t1 @t27 @t18)) % 0.53/0.85 (define @t363 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1))) % 0.53/0.85 (define @t364 () (@var "V_type2_H" $$unsorted)) % 0.53/0.85 (define @t365 () (@var "V_type1_H" $$unsorted)) % 0.53/0.85 (define @t366 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t365) @t364)) % 0.53/0.85 (define @t367 () (tptp.c_Lambda_OdB_OVar @t250)) % 0.53/0.85 (define @t368 () (@var "V_xd" $$unsorted)) % 0.53/0.85 (define @t369 () (@var "V_type1" $$unsorted)) % 0.53/0.85 (define @t370 () (@var "V_type2" $$unsorted)) % 0.53/0.85 (define @t371 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t369) @t370)) % 0.53/0.85 (define @t372 () (not (= @t371 @t366))) % 0.53/0.85 (define @t373 () (@list @t369 @t370 @t365 @t364)) % 0.53/0.85 (define @t374 () (@var "V_T2" $$unsorted)) % 0.53/0.85 (define @t375 () (@var "V_T1" $$unsorted)) % 0.53/0.85 (define @t376 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t375) @t374)) % 0.53/0.85 (define @t377 () (@var "V_T1a" $$unsorted)) % 0.53/0.85 (define @t378 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t213) @t229)) % 0.53/0.85 (define @t379 () (@var "V_env" $$unsorted)) % 0.53/0.85 (define @t380 () (@list @t251 @t254 @t296 @t250 @t1)) % 0.53/0.85 (define @t381 () (@var "V_Ta" $$unsorted)) % 0.53/0.85 (define @t382 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t83)))) % 0.53/0.85 (define @t383 () (tptp.c_Lambda_Osubst @t115 @t83 @t200)) % 0.53/0.85 (define @t384 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t383))) % 0.53/0.85 (define @t385 () (not (= tptp.v_T____ @t376))) % 0.53/0.85 (define @t386 () (@list @t375 @t374 @t115 @t83 @t200 @t214 @t381)) % 0.53/0.85 (define @t387 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.53/0.85 (define @t388 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t387 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.53/0.85 (define @t389 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.53/0.85 (define @t390 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.53/0.85 (define @t391 () (tptp.c_Type_Otyping @t390 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t387) tptp.v_a____) @t389)) % 0.53/0.85 (define @t392 () (@list @t214 @t115 @t213 @t223)) % 0.53/0.85 (define @t393 () (tptp.hAPP (tptp.hAPP @t254 @t369) @t370)) % 0.53/0.85 (define @t394 () (@list @t251 @t254 @t369 @t370 @t1)) % 0.53/0.85 (define @t395 () (@var "V_T_H_H" $$unsorted)) % 0.53/0.85 (define @t396 () (not (tptp.c_Type_Otyping @t390 @t387 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t395) @t389)))) % 0.53/0.85 (define @t397 () (not (tptp.c_Type_Otyping @t390 tptp.v_a____ @t395))) % 0.53/0.85 (define @t398 () (or tptp.v_thesis____ @t397 @t396)) % 0.53/0.85 (define @t399 () (@list @t395)) % 0.53/0.85 (define @t400 () (forall @t399 @t398)) % 0.53/0.85 (define @t401 () (@var "V_e_H" $$unsorted)) % 0.53/0.85 (define @t402 () (@var "T_1" $$unsorted)) % 0.53/0.85 (define @t403 () (@var "T_2" $$unsorted)) % 0.53/0.85 (define @t404 () (tptp.tc_fun @t403 @t402)) % 0.53/0.85 (define @t405 () (@list @t403 @t402)) % 0.53/0.85 (define @t406 () (@var "V_Y" $$unsorted)) % 0.53/0.85 (define @t407 () (@var "V_X" $$unsorted)) % 0.53/0.85 (define @t408 () (or @t397 @t396)) % 0.53/0.85 (define @t409 () (forall @t399 @t408)) % 0.53/0.85 (define @t410 () (or tptp.v_thesis____ @t408)) % 0.53/0.85 (define @t411 () (not @t391)) % 0.53/0.85 (define @t412 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t389 @t390 @t387 tptp.v_a____)) % 0.53/0.85 (define @t413 () (tptp.c_Type_Otyping @t390 @t387 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t412) @t389))) % 0.53/0.85 (define @t414 () (or @t413 @t411)) % 0.53/0.85 (define @t415 () (@list false false)) % 0.53/0.85 (define @t416 () (tptp.c_Type_Otyping @t390 tptp.v_a____ @t412)) % 0.53/0.85 (define @t417 () (or @t416 @t411)) % 0.53/0.85 (define @t418 () (not @t413)) % 0.53/0.85 (define @t419 () (not @t416)) % 0.53/0.85 (define @t420 () (or @t419 @t418)) % 0.53/0.85 (define @t421 () (not @t420)) % 0.53/0.85 (assume @p1 (forall @t11 (or @t10 @t9 @t5))) % 0.53/0.85 (assume @p2 (forall (@list @t3 @t1 @t12) (tptp.hBOOL (tptp.hAPP @t13 @t12)))) % 0.53/0.85 (assume @p3 (forall (@list @t3 @t1 @t2) (tptp.hBOOL (tptp.hAPP @t14 @t2)))) % 0.53/0.85 (assume @p4 (forall @t20 (or @t19 @t17))) % 0.53/0.85 (assume @p5 (forall (@list @t22 @t1) (tptp.c_List_Olistsp @t22 @t21 @t1))) % 0.53/0.85 (assume @p6 (forall (@list @t3 @t18 @t23 @t12 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t24 @t23))) (tptp.c_ListOrder_Ostep1 @t3 (tptp.c_List_Olist_OCons @t18 @t12 @t1) (tptp.c_List_Olist_OCons @t23 @t12 @t1) @t1)))) % 0.53/0.85 (assume @p7 (forall (@list @t12 @t18 @t25 @t27 @t3 @t1) (or @t31 @t30 @t29))) % 0.53/0.85 (assume @p8 (forall (@list @t22 @t27 @t1 @t25) (or @t35 @t34))) % 0.53/0.85 (assume @p9 (forall (@list @t22 @t25 @t1 @t27) (or @t36 @t34))) % 0.53/0.85 (assume @p10 (forall @t37 (= (tptp.c_List_Orotate1 @t21 @t1) @t21))) % 0.53/0.85 (assume @p11 (forall (@list @t3 @t12 @t39 @t1 @t38) (or (tptp.c_ListOrder_Ostep1 @t3 (tptp.c_List_Oappend @t12 @t39 @t1) (tptp.c_List_Oappend @t12 @t38 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t3 @t39 @t38 @t1))))) % 0.53/0.85 (assume @p12 (forall (@list @t3 @t27 @t25 @t1 @t12) (or @t42 (tptp.c_ListOrder_Ostep1 @t3 (tptp.c_List_Oappend @t27 @t12 @t1) @t40 @t1)))) % 0.53/0.85 (assume @p13 (forall @t37 (or @t46 (= (tptp.hAPP @t45 @t43) @t43)))) % 0.53/0.85 (assume @p14 (forall @t53 (or @t52 (= @t51 (tptp.hAPP (tptp.hAPP @t44 @t49) @t47))))) % 0.53/0.85 (assume @p15 (forall @t53 (or @t55 (= @t51 (tptp.hAPP @t50 @t54))))) % 0.53/0.85 (assume @p16 (forall @t66 (or @t65 @t64))) % 0.53/0.85 (assume @p17 (forall @t66 (or @t65 (= @t60 (tptp.hAPP @t57 @t67))))) % 0.53/0.85 (assume @p18 (forall @t66 (or @t68 @t64))) % 0.53/0.85 (assume @p19 (forall @t74 (or @t52 (= @t73 (tptp.hAPP @t70 @t69))))) % 0.53/0.85 (assume @p20 (forall @t66 (or @t52 (= @t63 (tptp.hAPP @t70 @t6))))) % 0.53/0.85 (assume @p21 (forall @t74 (or @t52 (= @t73 (tptp.hAPP @t71 (tptp.hAPP @t59 @t69)))))) % 0.53/0.85 (assume @p22 (forall @t66 (or @t52 @t64))) % 0.53/0.85 (assume @p23 (forall (@list @t3 @t1 @t76 @t6 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t6) @t2)) @t75))) % 0.53/0.85 (assume @p24 (forall (@list @t3 @t78 @t79 @t1 @t76) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3 @t78) @t79)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t79) @t78)))))) % 0.53/0.85 (assume @p25 (forall (@list @t3 @t1 @t76 @t2 @t6) (or @t82 (not @t81)))) % 0.53/0.85 (assume @p26 (forall (@list @t3 @t6 @t2 @t1 @t76) (or @t81 (not @t82)))) % 0.53/0.85 (assume @p27 (forall (@list @t1 @t12 @t18 @t47 @t83) (or @t55 (not (= @t51 (tptp.hAPP @t50 @t83))) (= @t54 @t83)))) % 0.53/0.85 (assume @p28 (forall (@list @t3 @t1 @t18 @t12) (or @t86 (not @t84)))) % 0.53/0.85 (assume @p29 (forall @t87 (or @t84 (not @t86)))) % 0.53/0.85 (assume @p30 (forall @t53 (or @t89 @t88 (not (= @t49 @t54)) (= @t18 @t47)))) % 0.53/0.85 (assume @p31 (forall @t66 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t91 @t90))) % 0.53/0.85 (assume @p32 (forall @t66 (or @t92 @t91 @t90))) % 0.53/0.85 (assume @p33 (forall @t95 (or @t92 (not (= @t94 @t93)) @t90))) % 0.53/0.85 (assume @p34 (forall (@list @t12 @t18 @t3 @t27 @t1 @t25) (or @t31 @t96 @t29))) % 0.53/0.85 (assume @p35 (forall @t100 (or (= (tptp.c_List_Olast @t99 @t1) @t12) @t98))) % 0.53/0.85 (assume @p36 (forall (@list @t1 @t2 @t6 @t56 @t69) (or @t52 (= (tptp.hAPP @t62 @t72) (tptp.hAPP @t70 @t101))))) % 0.53/0.85 (assume @p37 (forall (@list @t12 @t1 @t18) (= @t102 (tptp.c_List_Oreplicate @t97 @t18 @t1)))) % 0.53/0.85 (assume @p38 (forall @t105 (or (not (= @t104 @t21)) @t103))) % 0.53/0.85 (assume @p39 (forall @t20 (or @t19 @t31 (= @t16 @t97)))) % 0.53/0.85 (assume @p40 (forall (@list @t3 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t7 @t1) @t7))) % 0.53/0.85 (assume @p41 (forall @t106 (or @t52 (= (tptp.hAPP @t45 @t12) @t12)))) % 0.53/0.85 (assume @p42 (forall @t108 (or @t65 @t107))) % 0.53/0.85 (assume @p43 (forall @t106 (or @t89 @t88 (= @t12 (tptp.hAPP @t48 @t43))))) % 0.53/0.85 (assume @p44 (forall @t108 (or @t65 @t109))) % 0.53/0.85 (assume @p45 (forall @t108 (or @t110 @t107))) % 0.53/0.85 (assume @p46 (forall @t108 (or @t110 @t109))) % 0.53/0.85 (assume @p47 (forall @t108 (or @t52 @t109))) % 0.53/0.85 (assume @p48 (forall @t108 (or @t52 @t107))) % 0.53/0.85 (assume @p49 (forall @t37 (= @t111 @t21))) % 0.53/0.85 (assume @p50 (forall @t113 (= (tptp.c_List_Orev @t32 @t1) (tptp.c_List_Oappend @t112 @t104 @t1)))) % 0.53/0.85 (assume @p51 (forall @t11 (or @t10 @t5 @t9))) % 0.53/0.85 (assume @p52 (forall (@list @t3 @t1 @t12 @t47 @t18) (or (tptp.hBOOL (tptp.hAPP @t13 @t47)) (not (tptp.hBOOL (tptp.hAPP @t85 @t47))) (not @t114)))) % 0.53/0.85 (assume @p53 (forall (@list @t115) (or (tptp.c_Wellfounded_Oaccp @t117 @t115 tptp.tc_Lambda_OdB) @t116))) % 0.53/0.85 (assume @p54 (forall @t119 (or @t118 (not (tptp.c_Wellfounded_Oaccp @t117 @t3 tptp.tc_Lambda_OdB))))) % 0.53/0.85 (assume @p55 (forall (@list @t15 @t1) (= (tptp.c_List_Otake @t15 @t21 @t1) @t21))) % 0.53/0.85 (assume @p56 (forall @t105 (or (not (= @t120 @t21)) @t103))) % 0.53/0.85 (assume @p57 (forall @t105 (= @t25 @t121))) % 0.53/0.85 (assume @p58 (forall @t122 (= (tptp.c_List_Orev @t112 @t1) @t27))) % 0.53/0.85 (assume @p59 (forall @t105 (= @t121 @t25))) % 0.53/0.85 (assume @p60 (forall @t125 (= @t25 (tptp.c_List_Otake @t124 @t32 @t1)))) % 0.53/0.85 (assume @p61 (forall (@list @t1 @t2 @t56) (or @t52 (= @t67 @t93)))) % 0.53/0.85 (assume @p62 (forall @t126 (or @t65 (= @t61 @t94)))) % 0.53/0.85 (assume @p63 (forall @t127 (or @t52 (= @t49 (tptp.hAPP @t50 @t12))))) % 0.53/0.85 (assume @p64 (forall (@list @t1 @t12 @t18 @t128) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t44 @t49 @t128 @t1 @t1) (tptp.hAPP @t48 (tptp.c_List_Ofoldl @t44 @t18 @t128 @t1 @t1)))))) % 0.53/0.85 (assume @p65 (forall @t100 (= (tptp.c_List_Orev @t99 @t1) @t99))) % 0.53/0.85 (assume @p66 (forall @t131 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t130 @t129)) @t17))) % 0.53/0.85 (assume @p67 (forall (@list @t1 @t12 @t2) (or @t89 @t88 (not (= @t12 (tptp.hAPP @t48 @t2))) @t132))) % 0.53/0.85 (assume @p68 (forall @t108 (or @t46 (not (= @t133 @t43)) @t132))) % 0.53/0.85 (assume @p69 (forall @t87 (or @t114 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3 @t12) @t18)))))) % 0.53/0.85 (assume @p70 (forall (@list @t3 @t1 @t25) (not (tptp.c_ListOrder_Ostep1 @t3 @t21 @t25 @t1)))) % 0.53/0.85 (assume @p71 (forall (@list @t3 @t25 @t1) (not (tptp.c_ListOrder_Ostep1 @t3 @t25 @t21 @t1)))) % 0.53/0.85 (assume @p72 (forall @t136 (or (= (tptp.c_List_Otake @t15 @t135 @t1) @t134) (not (tptp.c_HOL_Oord__class_Oless @t15 @t124 tptp.tc_nat))))) % 0.53/0.85 (assume @p73 (forall @t37 (= (tptp.c_Predicate_Oconversep @t137 @t1 @t1) @t137))) % 0.53/0.85 (assume @p74 (forall @t105 (= (tptp.c_Nat_Osize__class_Osize @t120 @t123) @t124))) % 0.53/0.85 (assume @p75 (forall @t138 (or @t41 @t30 @t29))) % 0.53/0.85 (assume @p76 (forall (@list @t15 @t12 @t1 @t139) (= (tptp.c_List_Oappend @t99 @t140 @t1) (tptp.c_List_Oappend @t140 @t99 @t1)))) % 0.53/0.85 (assume @p77 (forall (@list @t1 @t2 @t56 @t6 @t69) (or @t143 (tptp.c_HOL_Oord__class_Oless @t67 @t101 @t1) (not (tptp.c_HOL_Oord__class_Oless @t56 @t69 @t1)) @t142))) % 0.53/0.85 (assume @p78 (forall @t125 (or (not (= @t104 @t112)) @t30))) % 0.53/0.85 (assume @p79 (forall (@list @t22 @t25 @t27 @t1) (or @t33 (not @t35) (not @t36)))) % 0.53/0.85 (assume @p80 (forall @t100 (= (tptp.c_Nat_Osize__class_Osize @t99 @t123) @t15))) % 0.53/0.85 (assume @p81 (forall @t144 (or (not (= @t21 @t104)) @t103))) % 0.53/0.85 (assume @p82 (forall (@list @t3 @t1 @t76) (= (tptp.c_Predicate_Oconversep @t77 @t76 @t1) @t3))) % 0.53/0.85 (assume @p83 (forall @t146 (or @t143 @t145 @t142))) % 0.53/0.85 (assume @p84 (forall @t146 (or @t147 @t145 @t142))) % 0.53/0.85 (assume @p85 (forall @t66 (or @t147 @t141 (not @t145)))) % 0.53/0.85 (assume @p86 (forall @t149 (or @t143 @t148 @t142))) % 0.53/0.85 (assume @p87 (forall @t149 (or @t147 @t148 @t142))) % 0.53/0.85 (assume @p88 (forall @t66 (or @t147 @t141 (not @t148)))) % 0.53/0.85 (assume @p89 (forall @t138 (or @t41 @t96 @t29))) % 0.53/0.85 (assume @p90 (forall (@list @t3 @t12 @t27 @t1 @t25) (or (tptp.c_ListOrder_Ostep1 @t3 (tptp.c_List_Olist_OCons @t12 @t27 @t1) @t26 @t1) @t42))) % 0.53/0.85 (assume @p91 (forall @t37 (= (tptp.c_List_Obutlast @t21 @t1) @t21))) % 0.53/0.85 (assume @p92 (forall @t37 (= @t21 @t111))) % 0.53/0.85 (assume @p93 (forall @t105 (= (tptp.c_Nat_Osize__class_Osize @t104 @t123) @t124))) % 0.53/0.85 (assume @p94 (forall @t151 (or @t150 (not (tptp.hBOOL (tptp.hAPP @t8 @t56))) @t75))) % 0.53/0.85 (assume @p95 (forall @t151 (or @t150 (not (tptp.hBOOL (tptp.hAPP @t80 @t56))) (not (tptp.hBOOL (tptp.hAPP @t14 @t6)))))) % 0.53/0.85 (assume @p96 (forall (@list @t3 @t18 @t1 @t2) (or (tptp.c_Wellfounded_Oaccp @t3 @t18 @t1) (not (tptp.hBOOL (tptp.hAPP @t24 @t2))) @t5))) % 0.53/0.85 (assume @p97 (forall (@list @t3 @t2 @t1 @t6) (or @t4 @t75 (not @t10)))) % 0.53/0.85 (assume @p98 (forall @t105 (or (= (tptp.c_List_Oappend @t135 (tptp.c_List_Olist_OCons @t152 @t21 @t1) @t1) @t25) @t103))) % 0.53/0.85 (assume @p99 (forall @t108 (or @t46 @t155 @t154))) % 0.53/0.85 (assume @p100 (forall @t108 (or @t46 @t153 (not @t155)))) % 0.53/0.85 (assume @p101 (forall (@list @t1 @t16) (or @t156 (not (tptp.c_HOL_Oord__class_Oless @t130 @t43 @t1))))) % 0.53/0.85 (assume @p102 (forall @t126 (or @t159 (tptp.c_HOL_Oord__class_Oless @t61 @t43 @t1) (not (tptp.c_HOL_Oord__class_Oless @t6 @t43 @t1)) @t158))) % 0.53/0.85 (assume @p103 (forall @t108 (or @t46 @t160 @t158))) % 0.53/0.85 (assume @p104 (forall @t108 (or @t46 @t157 @t161))) % 0.53/0.85 (assume @p105 (forall @t108 (or @t162 @t157 @t161))) % 0.53/0.85 (assume @p106 (forall @t108 (or @t162 @t160 @t158))) % 0.53/0.85 (assume @p107 (forall @t126 (or @t159 (tptp.c_HOL_Oord__class_Oless @t43 @t61 @t1) (not (tptp.c_HOL_Oord__class_Oless @t43 @t6 @t1)) @t154))) % 0.53/0.85 (assume @p108 (forall @t95 (or @t156 (tptp.c_HOL_Oord__class_Oless @t6 @t67 @t1) (not (tptp.c_HOL_Oord__class_Oless @t6 @t56 @t1)) @t154))) % 0.53/0.85 (assume @p109 (forall @t37 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t97 @t1) @t43)))) % 0.53/0.85 (assume @p110 (forall @t131 (or @t156 @t164 (not @t163)))) % 0.53/0.85 (assume @p111 (forall @t131 (or @t156 @t163 (not @t164)))) % 0.53/0.85 (assume @p112 (forall @t165 (= @t102 @t21))) % 0.53/0.85 (assume @p113 (forall @t136 (or (not (= @t134 @t21)) @t103 @t98))) % 0.53/0.85 (assume @p114 (forall @t37 (= @t166 @t97))) % 0.53/0.85 (assume @p115 (forall @t106 (= @t21 @t102))) % 0.53/0.85 (assume @p116 (forall @t105 (= (tptp.c_List_Otake @t97 @t25 @t1) @t21))) % 0.53/0.85 (assume @p117 (forall @t100 (or (not (= @t99 @t21)) @t98))) % 0.53/0.85 (assume @p118 (forall (@list @t1 @t15 @t12) (or (not (= @t21 @t99)) @t98))) % 0.53/0.85 (assume @p119 (forall @t105 (or (not (= @t124 @t97)) @t103))) % 0.53/0.85 (assume @p120 (forall @t165 (= @t167 @t168))) % 0.53/0.85 (assume @p121 (forall @t169 (or (= (tptp.c_List_Olast @t26 @t1) @t152) @t103))) % 0.53/0.85 (assume @p122 (forall @t165 (= @t168 @t167))) % 0.53/0.85 (assume @p123 (forall (@list @t12 @t1 @t25) (or (not (= @t167 @t104)) @t170))) % 0.53/0.85 (assume @p124 (forall (@list @t25 @t1 @t12) (or (not (= @t104 @t167)) @t170))) % 0.53/0.85 (assume @p125 (forall @t165 (= (tptp.c_List_Obutlast @t167 @t1) @t21))) % 0.53/0.85 (assume @p126 (forall @t165 (= (tptp.c_List_Olast @t167 @t1) @t12))) % 0.53/0.85 (assume @p127 (forall @t169 (or (= (tptp.c_List_Obutlast @t26 @t1) (tptp.c_List_Olist_OCons @t12 @t135 @t1)) @t103))) % 0.53/0.85 (assume @p128 (forall (@list @t1 @t12 @t128) (or @t110 (= (tptp.hAPP @t48 (tptp.c_List_Ofoldl @t44 @t43 @t128 @t1 @t1)) (tptp.c_List_Ofoldl @t44 @t12 @t128 @t1 @t1))))) % 0.53/0.85 (assume @p129 (forall @t176 (or @t175 @t173 @t171))) % 0.53/0.85 (assume @p130 (forall @t181 (or @t180 @t179 @t177))) % 0.53/0.85 (assume @p131 (forall @t176 (or @t175 @t182 @t171))) % 0.53/0.85 (assume @p132 (forall @t181 (or @t180 @t183 @t177))) % 0.53/0.85 (assume @p133 (forall (@list @t15 @t12 @t1 @t25) (= (tptp.c_List_Oappend @t99 @t26 @t1) (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Oappend @t99 @t25 @t1) @t1)))) % 0.53/0.85 (assume @p134 (forall @t105 (= (tptp.c_List_Obutlast @t184 @t1) @t135))) % 0.53/0.85 (assume @p135 (forall @t113 (or (= (tptp.c_List_Olast @t32 @t1) (tptp.c_List_Olast @t27 @t1)) @t185))) % 0.53/0.85 (assume @p136 (forall @t105 (= (tptp.c_List_Olast @t184 @t1) @t152))) % 0.53/0.85 (assume @p137 (forall @t113 (or (= (tptp.c_List_Obutlast @t32 @t1) (tptp.c_List_Oappend @t25 (tptp.c_List_Obutlast @t27 @t1) @t1)) @t185))) % 0.53/0.85 (assume @p138 (forall (@list @t187 @t115 @t186 @t190) (or (tptp.hBOOL (tptp.hAPP @t195 (tptp.hAPP @t192 @t190))) @t191 @t189))) % 0.53/0.85 (assume @p139 (forall (@list @t187 @t115 @t186) (or (tptp.hBOOL (tptp.hAPP @t195 (tptp.hAPP @t192 @t115))) @t189))) % 0.53/0.85 (assume @p140 (forall (@list @t187 @t115 @t190) (or (tptp.hBOOL (tptp.hAPP @t195 (tptp.hAPP @t193 @t190))) @t191))) % 0.53/0.85 (assume @p141 (forall (@list @t187 @t186) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t196) (tptp.c_Lambda_OdB_OAbs @t186))) @t189))) % 0.53/0.85 (assume @p142 (forall (@list @t3 @t187 @t115) (or (not (= @t197 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t115 @t198 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t197 @t115)))) % 0.53/0.85 (assume @p143 (forall (@list @t3 @t187) (= @t197 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t197 @t198 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.53/0.85 (assume @p144 (forall @t202 (or @t201 @t199))) % 0.53/0.85 (assume @p145 (forall @t206 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t205) @t204)) @t203))) % 0.53/0.85 (assume @p146 (forall @t202 (or @t201 @t203))) % 0.53/0.85 (assume @p147 (forall (@list @t208 @t15 @t207) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t208 @t212 tptp.tc_Lambda_OdB) @t211))) % 0.53/0.85 (assume @p148 (forall @t217 (or @t216 @t215 @t191))) % 0.53/0.85 (assume @p149 (forall @t220 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t219) @t218)) @t203))) % 0.53/0.85 (assume @p150 (forall (@list @t1 @t25 @t2) (or @t68 (= (tptp.c_List_Ofoldr @t44 @t25 @t2 @t1 @t1) @t221)))) % 0.53/0.85 (assume @p151 (forall (@list @t3 @t223 @t187) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t3 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t222))) % 0.53/0.85 (assume @p152 (forall (@list @t214 @t38 @t213 @t229 @t200 @t223 @t227) (or (tptp.c_Type_Otypings @t214 @t38 @t231) @t230 @t228 @t226))) % 0.53/0.85 (assume @p153 (forall @t119 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t233)) @t232))) % 0.53/0.85 (assume @p154 (forall (@list @t83 @t187 @t115) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t235 @t187)) (tptp.hAPP @t235 @t115))) @t234))) % 0.53/0.85 (assume @p155 (forall (@list @t187 @t83 @t115) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t193 @t83)) @t237)) @t234))) % 0.53/0.85 (assume @p156 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.53/0.85 (assume @p157 (forall (@list @t115 @t139 @t187) (= (tptp.c_Lambda_Osubst @t238 @t187 @t139) @t115))) % 0.53/0.85 (assume @p158 (forall (@list @t200 @t139) (or (= (tptp.c_Lambda_Olift @t224 @t139) @t224) (not (tptp.c_HOL_Oord__class_Oless @t200 @t139 tptp.tc_nat))))) % 0.53/0.85 (assume @p159 (forall @t220 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t219) @t218)) @t199))) % 0.53/0.85 (assume @p160 (forall (@list @t12 @t115 @t1) (not (= (tptp.c_List_Olist_OCons @t12 @t115 @t1) @t115)))) % 0.53/0.85 (assume @p161 (forall @t239 (not (= @t25 @t26)))) % 0.53/0.85 (assume @p162 (forall @t169 (= @t26 @t240))) % 0.53/0.85 (assume @p163 (forall @t241 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t236 @t224))) @t116))) % 0.53/0.85 (assume @p164 (forall @t37 (= @t21 @t242))) % 0.53/0.85 (assume @p165 (forall (@list @t187 @t115 @t15 @t243) (not (= @t245 @t244)))) % 0.53/0.85 (assume @p166 (forall @t247 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t196) @t246)) @t234))) % 0.53/0.85 (assume @p167 (forall (@list @t248 @t2 @t25 @t27 @t76 @t1) (= (tptp.c_List_Ofoldl @t248 @t2 @t249 @t1 @t76) (tptp.c_List_Ofoldl @t248 (tptp.c_List_Ofoldl @t248 @t2 @t25 @t1 @t76) @t27 @t1 @t76)))) % 0.53/0.85 (assume @p168 (forall @t255 (= (tptp.c_Type_Otype_Otype__case @t251 @t254 @t253 @t1) @t252))) % 0.53/0.85 (assume @p169 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.53/0.85 (assume @p170 (forall (@list @t15 @t208) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t210)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t208 tptp.tc_Lambda_OdB))))) % 0.53/0.85 (assume @p171 (forall (@list @t207 @t15 @t208) (or (= @t207 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t212 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t211))) % 0.53/0.85 (assume @p172 (forall @t258 (or @t156 @t257 (not @t256)))) % 0.53/0.85 (assume @p173 (forall @t258 (or @t156 @t256 (not @t257)))) % 0.53/0.85 (assume @p174 (forall @t144 (or @t110 (= (tptp.c_List_Ofoldl @t44 @t43 @t25 @t1 @t1) @t259)))) % 0.53/0.85 (assume @p175 (forall (@list @t1 @t2 @t25) (or @t110 (= @t221 (tptp.hAPP @t59 @t259))))) % 0.53/0.85 (assume @p176 (forall @t261 (= @t260 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t260 @t198 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.53/0.85 (assume @p177 (forall @t265 (or @t264 @t262))) % 0.53/0.85 (assume @p178 (forall @t267 (or @t266 @t262))) % 0.53/0.85 (assume @p179 (forall @t119 (= @t233 @t268))) % 0.53/0.85 (assume @p180 (forall @t270 (or @t269 @t262))) % 0.53/0.85 (assume @p181 (forall @t119 (= @t268 @t233))) % 0.53/0.85 (assume @p182 (forall @t272 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t271) @t263)) @t203))) % 0.53/0.85 (assume @p183 (forall (@list @t3 @t208 @t243) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t3 @t208 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t271)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t208 @t243 tptp.tc_Lambda_OdB))))) % 0.53/0.85 (assume @p184 (forall @t267 (or (not (tptp.c_Wellfounded_Oaccp @t117 @t274 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t117 @t187 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t117 @t273 tptp.tc_Lambda_OdB)))) % 0.53/0.85 (assume @p185 (forall @t181 (or @t180 @t183 @t185))) % 0.53/0.85 (assume @p186 (forall @t176 (or @t175 @t182 @t185))) % 0.53/0.85 (assume @p187 (forall @t239 (= (tptp.c_List_Olast @t275 @t1) @t12))) % 0.53/0.85 (assume @p188 (forall @t239 (= (tptp.c_List_Obutlast @t275 @t1) @t25))) % 0.53/0.85 (assume @p189 (forall (@list @t27 @t25 @t18 @t12 @t3 @t1) (or @t280 @t279 @t278))) % 0.53/0.85 (assume @p190 (forall (@list @t3 @t18 @t12 @t27 @t1 @t25) (or @t96 @t279 @t278))) % 0.53/0.85 (assume @p191 (forall @t176 (or @t175 @t173 @t185))) % 0.53/0.85 (assume @p192 (forall @t181 (or @t180 @t179 @t185))) % 0.53/0.85 (assume @p193 (forall @t169 (= (tptp.c_List_Orev @t26 @t1) (tptp.c_List_Oappend @t104 @t167 @t1)))) % 0.53/0.85 (assume @p194 (forall (@list @t3 @t18 @t12 @t27 @t25 @t1) (or @t96 @t41 @t278))) % 0.53/0.85 (assume @p195 (forall (@list @t25 @t1 @t18 @t27) (or (not (= @t104 @t28)) (= @t25 @t281)))) % 0.53/0.85 (assume @p196 (forall (@list @t27 @t1 @t18) (= (tptp.c_List_Orev @t281 @t1) @t28))) % 0.53/0.85 (assume @p197 (forall (@list @t12 @t25 @t76) (= (tptp.c_List_Orotate1 @t283 @t76) (tptp.c_List_Oappend @t25 (tptp.c_List_Olist_OCons @t12 @t282 @t76) @t76)))) % 0.53/0.85 (assume @p198 (forall (@list @t27 @t25 @t3 @t1 @t18 @t12) (or @t280 @t41 @t278))) % 0.53/0.85 (assume @p199 (forall (@list @t200 @t12 @t1) (= (tptp.c_List_Oappend @t284 @t167 @t1) (tptp.c_List_Olist_OCons @t12 @t284 @t1)))) % 0.53/0.85 (assume @p200 (forall @t105 (or (tptp.c_HOL_Oord__class_Oless @t97 @t124 tptp.tc_nat) @t103))) % 0.53/0.85 (assume @p201 (forall @t37 (not (tptp.c_HOL_Oord__class_Oless @t97 @t166 tptp.tc_nat)))) % 0.53/0.85 (assume @p202 (forall @t169 (= (tptp.c_List_Otake @t97 @t26 @t1) @t21))) % 0.53/0.85 (assume @p203 (forall (@list @t285 @t251 @t254 @t250) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Type_Otype_Otype__case @t251 @t254 @t253 tptp.t_a)))) @t286))) % 0.53/0.85 (assume @p204 (forall (@list @t285 @t251 @t254 @t287) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Type_Otype_Otype__case @t251 @t254 (tptp.c_Type_Otype_OAtom @t287) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 (tptp.hAPP @t251 @t287)))))) % 0.53/0.85 (assume @p205 (forall (@list @t289 @t288 @t1) (not (= @t290 @t21)))) % 0.53/0.85 (assume @p206 (forall (@list @t12 @t23 @t1) (not (= @t291 @t21)))) % 0.53/0.85 (assume @p207 (forall (@list @t12 @t292 @t128 @t1) (= (tptp.c_List_Olist_OCons @t12 (tptp.c_List_Oappend @t292 @t128 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t12 @t292 @t1) @t128 @t1)))) % 0.53/0.85 (assume @p208 (forall (@list @t12 @t23 @t128 @t1) (= @t294 @t293))) % 0.53/0.85 (assume @p209 (forall @t300 (= (tptp.c_Lambda_OdB_OdB__rec @t251 @t254 @t296 @t299 @t1) (tptp.hAPP (tptp.hAPP @t298 (tptp.c_Lambda_OdB_OdB__rec @t251 @t254 @t296 @t297 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t251 @t254 @t296 @t295 @t1))))) % 0.53/0.85 (assume @p210 (forall (@list @t12 @t25 @t1 @t27) (= (tptp.c_List_Oappend @t26 @t27 @t1) (tptp.c_List_Olist_OCons @t12 @t32 @t1)))) % 0.53/0.85 (assume @p211 (forall (@list @t12 @t23 @t1 @t128) (= @t293 @t294))) % 0.53/0.85 (assume @p212 (forall @t267 (or @t266 (= @t233 @t187)))) % 0.53/0.85 (assume @p213 (forall (@list @t248 @t2 @t12 @t25 @t76 @t1) (= (tptp.c_List_Ofoldl @t248 @t2 @t283 @t1 @t76) (tptp.c_List_Ofoldl @t248 (tptp.hAPP (tptp.hAPP @t248 @t2) @t12) @t25 @t1 @t76)))) % 0.53/0.85 (assume @p214 (forall (@list @t285 @t213) (or @t302 (not (tptp.hBOOL (tptp.hAPP @t285 @t301)))))) % 0.53/0.85 (assume @p215 (forall (@list @t12 @t187) (or @t304 (= (tptp.c_Lambda_Osubst @t303 @t187 @t12) @t187)))) % 0.53/0.85 (assume @p216 (forall @t308 (or (tptp.c_Type_Otypings @t214 @t223 @t307) @t306))) % 0.53/0.85 (assume @p217 (forall @t309 (not (tptp.c_HOL_Oord__class_Oless @t15 @t97 tptp.tc_nat)))) % 0.53/0.85 (assume @p218 (forall @t261 (not (tptp.c_HOL_Oord__class_Oless @t16 @t97 tptp.tc_nat)))) % 0.53/0.85 (assume @p219 (forall (@list @t214 @t83 @t213 @t115) (or (tptp.c_Type_Otyping @t214 @t83 @t311) @t310))) % 0.53/0.85 (assume @p220 (forall (@list @t1 @t47 @t12 @t18) (or @t314 (tptp.c_HOL_Oord__class_Oless @t47 @t12 @t1) (not (tptp.c_HOL_Oord__class_Oless @t47 @t18 @t1)) @t313))) % 0.53/0.85 (assume @p221 (forall (@list @t1 @t12 @t47 @t18) (or @t317 (tptp.c_HOL_Oord__class_Oless @t12 @t47 @t1) (not (tptp.c_HOL_Oord__class_Oless @t18 @t47 @t1)) @t316))) % 0.53/0.85 (assume @p222 (forall (@list @t214 @t213 @t115) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t214 @t97 @t320 tptp.tc_Type_Otype) @t115 @t319) @t318))) % 0.53/0.85 (assume @p223 (forall @t300 (= (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 @t299 @t1) @t298))) % 0.53/0.85 (assume @p224 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.53/0.85 (assume @p225 (forall (@list @t200 @t187 @t139) (or (= (tptp.c_Lambda_Osubst @t224 @t187 @t139) @t224) (= @t200 @t139) (tptp.c_HOL_Oord__class_Oless @t139 @t200 tptp.tc_nat)))) % 0.53/0.85 (assume @p226 (forall @t324 (= (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 @t323 @t1) @t322))) % 0.53/0.85 (assume @p227 (forall @t206 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t205) @t204)) @t199))) % 0.53/0.85 (assume @p228 (forall (@list @t27 @t25 @t1 @t128) (or (not (= (tptp.c_List_Oappend @t27 @t25 @t1) (tptp.c_List_Oappend @t128 @t25 @t1))) @t325))) % 0.53/0.85 (assume @p229 (forall @t326 (or (not (= @t32 (tptp.c_List_Oappend @t25 @t128 @t1))) @t325))) % 0.53/0.85 (assume @p230 (forall @t105 (= @t184 @t25))) % 0.53/0.85 (assume @p231 (forall @t165 (= @t12 (tptp.c_List_Oappend @t21 @t12 @t1)))) % 0.53/0.85 (assume @p232 (forall @t105 (= @t25 @t184))) % 0.53/0.85 (assume @p233 (forall (@list @t1 @t27) (= @t327 @t27))) % 0.53/0.85 (assume @p234 (forall @t122 (= @t27 @t327))) % 0.53/0.85 (assume @p235 (forall @t330 (or (not (= @t253 (tptp.c_Type_Otype_OAtom @t328))) @t329))) % 0.53/0.85 (assume @p236 (forall (@list @t187 @t115 @t139) (= (tptp.c_Lambda_Olift @t194 @t139) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t187 @t139)) @t238)))) % 0.53/0.85 (assume @p237 (forall @t267 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t273)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t187))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t274)))))) % 0.53/0.85 (assume @p238 (forall (@list @t248 @t2 @t76 @t1) (= (tptp.c_List_Ofoldl @t248 @t2 @t282 @t1 @t76) @t2))) % 0.53/0.85 (assume @p239 (forall @t241 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t331)) @t116))) % 0.53/0.85 (assume @p240 (forall (@list @t15 @t223 @t3 @t243) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 @t243 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.53/0.85 (assume @p241 (forall @t333 (or @t332 @t103))) % 0.53/0.85 (assume @p242 (forall @t333 (or @t332 @t185))) % 0.53/0.85 (assume @p243 (forall (@list @t321 @t334) (or (not (= @t323 @t335)) (= @t321 @t334)))) % 0.53/0.85 (assume @p244 (forall @t113 (or @t336 @t103))) % 0.53/0.85 (assume @p245 (forall @t113 (or @t336 @t185))) % 0.53/0.85 (assume @p246 (forall @t265 (or @t264 (= @t260 @t187)))) % 0.53/0.85 (assume @p247 (forall @t255 (= (tptp.c_Type_Otype_Otype__rec @t251 @t254 @t253 @t1) @t252))) % 0.53/0.85 (assume @p248 (forall @t272 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t271) @t263)) @t199))) % 0.53/0.85 (assume @p249 (forall (@list @t12) (not @t304))) % 0.53/0.85 (assume @p250 (forall @t309 (not (tptp.c_HOL_Oord__class_Oless @t15 @t15 tptp.tc_nat)))) % 0.53/0.85 (assume @p251 (forall @t106 (or @t314 @t337))) % 0.53/0.85 (assume @p252 (forall @t106 (or @t338 @t337))) % 0.53/0.85 (assume @p253 (forall @t106 (or @t317 @t337))) % 0.53/0.85 (assume @p254 (forall @t247 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t245) (tptp.c_Lambda_Osubst @t187 @t115 @t97))))) % 0.53/0.85 (assume @p255 (forall @t339 (or @t162 @t312 @t315 @t31))) % 0.53/0.85 (assume @p256 (forall @t127 (or @t338 @t31 @t312 @t315))) % 0.53/0.85 (assume @p257 (forall (@list @t15 @t16) (or @t340 @t163 @t17))) % 0.53/0.85 (assume @p258 (forall (@list @t285 @t15 @t16) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t285 @t15) @t16)) @t340 @t17 @t163))) % 0.53/0.85 (assume @p259 (forall (@list @t18 @t12) (or (tptp.c_HOL_Oord__class_Oless @t18 @t12 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t12 @t18 tptp.tc_nat) @t31))) % 0.53/0.85 (assume @p260 (forall @t339 (or @t338 @t312 @t315 @t31))) % 0.53/0.85 (assume @p261 (forall @t339 (or @t338 @t312 @t31 @t315))) % 0.53/0.85 (assume @p262 (forall @t127 (or @t338 @t31 @t315 @t312))) % 0.53/0.85 (assume @p263 (forall @t345 (or @t344 (= @t295 @t341)))) % 0.53/0.85 (assume @p264 (forall @t345 (or @t344 (= @t297 @t342)))) % 0.53/0.85 (assume @p265 (forall @t348 (or @t347 @t346))) % 0.53/0.85 (assume @p266 (forall @t348 (or @t347 @t222))) % 0.53/0.85 (assume @p267 (forall @t270 (or @t269 (= @t187 @t233)))) % 0.53/0.85 (assume @p268 (forall (@list @t1 @t289 @t288) (not (= @t21 @t290)))) % 0.53/0.85 (assume @p269 (forall @t309 (or @t257 @t98))) % 0.53/0.85 (assume @p270 (forall @t324 (= (tptp.c_Lambda_OdB_OdB__rec @t251 @t254 @t296 @t323 @t1) (tptp.hAPP @t322 (tptp.c_Lambda_OdB_OdB__rec @t251 @t254 @t296 @t321 @t1))))) % 0.53/0.85 (assume @p271 (not (tptp.c_HOL_Oord__class_Oless @t97 @t97 tptp.tc_nat))) % 0.53/0.85 (assume @p272 (forall @t308 (or (tptp.c_Type_Otypings @t214 @t223 @t349) @t306))) % 0.53/0.85 (assume @p273 (forall (@list @t350 @t83 @t200) (or (= (tptp.c_Lambda_Osubst @t352 @t83 @t200) @t352) @t351))) % 0.53/0.85 (assume @p274 (forall (@list @t285 @t251 @t254 @t296 @t321) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 @t323 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 @t322))))) % 0.53/0.85 (assume @p275 (forall (@list @t285 @t251 @t254 @t296 @t23) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 (tptp.c_Lambda_OdB_OAbs @t23) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 (tptp.hAPP @t296 @t23)))))) % 0.53/0.85 (assume @p276 (forall (@list @t3 @t200 @t350) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t3 @t224 @t350))) @t232))) % 0.53/0.85 (assume @p277 (forall @t113 (or (not (= @t32 @t25)) @t185))) % 0.53/0.85 (assume @p278 (forall @t113 (or (not (= @t25 @t32)) @t185))) % 0.53/0.85 (assume @p279 (forall @t113 (or (not (= @t32 @t27)) @t103))) % 0.53/0.85 (assume @p280 (forall (@list @t27 @t25 @t1) (or (not (= @t27 @t32)) @t103))) % 0.53/0.85 (assume @p281 (forall (@list @t1 @t12 @t25) (= @t240 @t26))) % 0.53/0.85 (assume @p282 (forall (@list @t285 @t251 @t254 @t296 @t297 @t295) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 @t299 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 @t298))))) % 0.53/0.85 (assume @p283 (forall (@list @t285 @t251 @t254 @t296 @t353 @t287) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t353) @t287) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 (tptp.hAPP (tptp.hAPP @t254 @t353) @t287)))))) % 0.53/0.85 (assume @p284 (forall @t356 (or @t355 (= @t2 @t289)))) % 0.53/0.85 (assume @p285 (forall @t356 (or @t355 (= @t354 @t288)))) % 0.53/0.85 (assume @p286 (forall @t358 (or @t357 @t346))) % 0.53/0.85 (assume @p287 (forall @t358 (or @t357 @t17))) % 0.53/0.85 (assume @p288 (forall (@list @t334 @t297 @t295) (not (= @t335 @t299)))) % 0.53/0.85 (assume @p289 (forall (@list @t214 @t223 @t213 @t200) (or (tptp.c_Type_Otypings @t214 @t223 @t360) @t359))) % 0.53/0.85 (assume @p290 (forall (@list @t297 @t295 @t334) (not (= @t299 @t335)))) % 0.53/0.85 (assume @p291 (forall (@list @t115 @t83 @t187 @t139) (= (tptp.c_Lambda_Osubst @t237 @t187 @t139) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t115 @t187 @t139)) (tptp.c_Lambda_Osubst @t83 @t187 @t139))))) % 0.53/0.85 (assume @p292 (forall @t362 (or @t361 @t30))) % 0.53/0.85 (assume @p293 (forall @t362 (or @t361 @t31))) % 0.53/0.85 (assume @p294 (forall @t37 (= @t242 @t21))) % 0.53/0.85 (assume @p295 (forall @t326 (= (tptp.c_List_Oappend @t32 @t128 @t1) (tptp.c_List_Oappend @t25 @t174 @t1)))) % 0.53/0.85 (assume @p296 (forall (@list @t25 @t292 @t38 @t1) (= (tptp.c_List_Oappend @t25 (tptp.c_List_Oappend @t292 @t38 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t25 @t292 @t1) @t38 @t1)))) % 0.53/0.85 (assume @p297 (forall (@list @t128 @t12 @t1 @t27) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t128 @t12 @t1) @t27 @t1) (tptp.c_List_Oappend @t128 (tptp.c_List_Oappend @t12 @t27 @t1) @t1)))) % 0.53/0.85 (assume @p298 (forall (@list @t25 @t12 @t223 @t1) (= (tptp.c_List_Oappend @t25 (tptp.c_List_Oappend @t12 @t223 @t1) @t1) (tptp.c_List_Oappend @t40 @t223 @t1)))) % 0.53/0.85 (assume @p299 (forall @t126 (or @t314 @t142 @t363))) % 0.53/0.85 (assume @p300 (forall @t127 (or @t338 @t316 @t313))) % 0.53/0.85 (assume @p301 (forall @t339 (or @t317 @t313 @t316))) % 0.53/0.85 (assume @p302 (forall (@list @t1 @t6 @t2) (or @t317 @t363 @t142))) % 0.53/0.85 (assume @p303 (forall (@list @t214 @t200 @t229 @t115 @t213) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t214 @t200 @t229 tptp.tc_Type_Otype) @t331 @t213) @t215))) % 0.53/0.85 (assume @p304 (forall (@list @t365 @t364 @t250) (not (= @t366 @t253)))) % 0.53/0.85 (assume @p305 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.53/0.85 (assume @p306 (forall (@list @t334 @t250) (not (= @t335 @t367)))) % 0.53/0.86 (assume @p307 (forall @t330 (or (not (= @t367 (tptp.c_Lambda_OdB_OVar @t328))) @t329))) % 0.53/0.86 (assume @p308 (forall (@list @t285 @t251 @t254 @t296 @t368) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 (tptp.c_Lambda_OdB_OVar @t368) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 (tptp.hAPP @t251 @t368)))))) % 0.53/0.86 (assume @p309 (forall (@list @t285 @t251 @t254 @t296 @t250) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 @t367 tptp.t_a)))) @t286))) % 0.53/0.86 (assume @p310 (forall (@list @t213 @t214 @t115) (or (= @t213 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t320) @t319)) @t318))) % 0.53/0.86 (assume @p311 (forall @t217 (or @t216 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t115) @t190))) @t215))) % 0.53/0.86 (assume @p312 (forall (@list @t139 @t83) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t139) @t83 @t139) @t83))) % 0.53/0.86 (assume @p313 (forall @t373 (or @t372 (= @t369 @t365)))) % 0.53/0.86 (assume @p314 (forall @t373 (or @t372 (= @t370 @t364)))) % 0.53/0.86 (assume @p315 (forall (@list @t248 @t12 @t25 @t76 @t2 @t1) (= (tptp.c_List_Ofoldr @t248 @t283 @t2 @t76 @t1) (tptp.hAPP (tptp.hAPP @t248 @t12) (tptp.c_List_Ofoldr @t248 @t25 @t2 @t76 @t1))))) % 0.53/0.86 (assume @p316 (forall (@list @t229 @t213 @t214 @t38 @t200 @t223 @t227) (or (= @t229 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t231 @t213 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t230 @t228 @t226))) % 0.53/0.86 (assume @p317 (forall (@list @t214 @t200 @t213 @t1 @t350) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t214 @t200 @t213 @t1) @t350) (tptp.hAPP @t214 @t350)) @t351))) % 0.53/0.86 (assume @p318 (forall (@list @t285 @t375 @t374 @t213) (or (not (= @t301 @t376)) @t302 (tptp.hBOOL (tptp.hAPP @t285 @t374))))) % 0.53/0.86 (assume @p319 (forall (@list @t285 @t377 @t12 @t213) (or (not (= @t301 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t377) @t12))) @t302 (tptp.hBOOL (tptp.hAPP @t285 @t377))))) % 0.53/0.86 (assume @p320 (forall (@list @t200 @t115) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t224) @t115))))) % 0.53/0.86 (assume @p321 (forall (@list @t379 @t187 @t115 @t229 @t213) (or (tptp.c_Type_Otyping @t379 @t194 @t229) (not (tptp.c_Type_Otyping @t379 @t115 @t213)) (not (tptp.c_Type_Otyping @t379 @t187 @t378))))) % 0.53/0.86 (assume @p322 (forall (@list @t213 @t229 @t214 @t200 @t223) (or (= @t213 @t229) @t230 @t359))) % 0.53/0.86 (assume @p323 (forall @t380 (= (tptp.c_Lambda_OdB_OdB__rec @t251 @t254 @t296 @t367 @t1) @t252))) % 0.53/0.86 (assume @p324 (forall (@list @t250 @t342 @t341) (not (= @t367 @t343)))) % 0.53/0.86 (assume @p325 (forall @t386 (or @t385 @t384 (not (tptp.c_Type_Otyping @t214 @t83 @t374)) @t382 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t214 @t200 @t374 tptp.tc_Type_Otype) @t115 @t381)) @t116))) % 0.53/0.86 (assume @p326 (forall @t386 (or @t385 @t384 (not (tptp.c_Type_Otyping @t214 @t83 @t375)) @t382 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t214 @t200 @t375 tptp.tc_Type_Otype) @t115 @t381)) @t116))) % 0.53/0.86 (assume @p327 (forall (@list @t214 @t12 @t213 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t214 @t12 @t213 @t1) @t12) @t213))) % 0.53/0.86 (assume @p328 (forall (@list @t379 @t115 @t213 @t229) (or (tptp.c_Type_Otyping @t379 @t246 @t378) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t379 @t97 @t213 tptp.tc_Type_Otype) @t115 @t229))))) % 0.53/0.86 (assume @p329 (= tptp.v_n____ tptp.v_i____)) % 0.53/0.86 (assume @p330 (forall (@list @t250 @t334) (not (= @t367 @t335)))) % 0.53/0.86 (assume @p331 (forall @t309 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t209)))) % 0.53/0.86 (assume @p332 (forall (@list @t214 @t200 @t213) (or (= (tptp.hAPP @t214 @t200) @t213) (not (tptp.c_Type_Otyping @t214 @t224 @t213))))) % 0.53/0.86 (assume @p333 (forall (@list @t248 @t25 @t27 @t76 @t2 @t1) (= (tptp.c_List_Ofoldr @t248 @t249 @t2 @t76 @t1) (tptp.c_List_Ofoldr @t248 @t25 (tptp.c_List_Ofoldr @t248 @t27 @t2 @t76 @t1) @t76 @t1)))) % 0.53/0.86 (assume @p334 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t388 tptp.v_T_Ha______)) % 0.53/0.86 (assume @p335 @t391) % 0.53/0.86 (assume @p336 (tptp.c_Type_Otypings @t390 tptp.v_as____ tptp.v_Ts____)) % 0.53/0.86 (assume @p337 (forall @t392 (or (tptp.c_Type_Otyping @t214 @t115 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t307 @t213 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t306))) % 0.53/0.86 (assume @p338 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.53/0.86 (assume @p339 (forall (@list @t214 @t200 @t213 @t223) (or (tptp.c_Type_Otyping @t214 @t224 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t360 @t213 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t359))) % 0.53/0.86 (assume @p340 (tptp.c_Type_Otyping @t390 @t388 tptp.v_T_H____)) % 0.53/0.86 (assume @p341 (forall (@list @t214 @t115 @t223 @t213 @t227) (or @t305 @t228 (not (tptp.c_Type_Otyping @t214 @t115 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t227 @t213 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.53/0.86 (assume @p342 (forall @t380 (= (tptp.c_Lambda_OdB_OdB__case @t251 @t254 @t296 @t367 @t1) @t252))) % 0.53/0.86 (assume @p343 (forall (@list @t248 @t76 @t2 @t1) (= (tptp.c_List_Ofoldr @t248 @t282 @t2 @t76 @t1) @t2))) % 0.53/0.86 (assume @p344 (forall @t394 (= (tptp.c_Type_Otype_Otype__rec @t251 @t254 @t371 @t1) (tptp.hAPP (tptp.hAPP @t393 (tptp.c_Type_Otype_Otype__rec @t251 @t254 @t369 @t1)) (tptp.c_Type_Otype_Otype__rec @t251 @t254 @t370 @t1))))) % 0.53/0.86 (assume @p345 (forall @t394 (= (tptp.c_Type_Otype_Otype__case @t251 @t254 @t371 @t1) @t393))) % 0.53/0.86 (assume @p346 @t400) % 0.53/0.86 (assume @p347 (forall (@list @t379 @t12) (tptp.c_Type_Otyping @t379 @t303 (tptp.hAPP @t379 @t12)))) % 0.53/0.86 (assume @p348 (forall (@list @t285 @t251 @t254 @t23 @t353) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Type_Otype_Otype__case @t251 @t254 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t23) @t353) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 (tptp.hAPP (tptp.hAPP @t254 @t23) @t353)))))) % 0.53/0.86 (assume @p349 (forall (@list @t285 @t251 @t254 @t369 @t370) (or (not (tptp.hBOOL (tptp.hAPP @t285 (tptp.c_Type_Otype_Otype__case @t251 @t254 @t371 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t285 @t393))))) % 0.53/0.86 (assume @p350 (forall (@list @t250 @t365 @t364) (not (= @t253 @t366)))) % 0.53/0.86 (assume @p351 (forall @t392 (or (tptp.c_Type_Otyping @t214 @t115 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t349 @t213 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t306))) % 0.53/0.86 (assume @p352 (forall (@list @t401 @t83 @t229 @t200 @t115 @t213) (or (not (tptp.c_Type_Otyping @t401 @t83 @t229)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t401 @t200 @t229 tptp.tc_Type_Otype) @t115 @t213)) (tptp.c_Type_Otyping @t401 @t383 @t213)))) % 0.53/0.86 (assume @p353 (forall (@list @t214 @t115 @t213 @t83) (or (tptp.c_Type_Otyping @t214 @t115 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t311) @t213)) @t310))) % 0.53/0.86 (assume @p354 (forall (@list @t342 @t341 @t250) (not (= @t343 @t367)))) % 0.53/0.86 (assume @p355 (not tptp.v_thesis____)) % 0.53/0.86 (assume @p356 (forall @t405 (or (tptp.class_Orderings_Opreorder @t404) (not (tptp.class_Orderings_Opreorder @t402))))) % 0.53/0.86 (assume @p357 (forall @t405 (or (tptp.class_Orderings_Oorder @t404) (not (tptp.class_Orderings_Oorder @t402))))) % 0.53/0.86 (assume @p358 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.53/0.86 (assume @p359 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.53/0.86 (assume @p360 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.53/0.86 (assume @p361 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.53/0.86 (assume @p362 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.53/0.86 (assume @p363 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.53/0.86 (assume @p364 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.53/0.86 (assume @p365 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.53/0.86 (assume @p366 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.53/0.86 (assume @p367 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.53/0.86 (assume @p368 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.53/0.86 (assume @p369 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.53/0.86 (assume @p370 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.53/0.86 (assume @p371 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.53/0.86 (assume @p372 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.53/0.86 (assume @p373 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.53/0.86 (assume @p374 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.53/0.86 (assume @p375 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.53/0.86 (assume @p376 (forall @t106 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t137 @t12) @t12)))) % 0.53/0.86 (assume @p377 (forall (@list @t407 @t406 @t1) (or (= @t407 @t406) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t137 @t407) @t406)))))) % 0.53/0.86 (step @p378 :rule quant-miniscope-or :args ((= (forall @t399 @t410) (or tptp.v_thesis____ @t409)))) % 0.53/0.86 (step @p379 :rule aci_norm :args ((= @t398 @t410))) % 0.53/0.86 (step @p380 :rule cong :premises (@p379) :args (@t400)) % 0.53/0.86 (step @p381 :rule trans :premises (@p380 @p378)) % 0.53/0.86 (step @p382 :rule eq_resolve :premises (@p346 @p381)) % 0.53/0.86 (step @p383 :rule chain_m_resolution :premises (@p382 @p355) :args (@t409 (@list true) (@list tptp.v_thesis____))) % 0.53/0.86 (step @p384 :rule instantiate :premises (@p353) :args ((@list @t390 @t387 @t389 tptp.v_a____))) % 0.53/0.86 (step @p385 :rule cnf_or_pos :args (@t414)) % 0.53/0.86 (step @p386 :rule reordering :premises (@p385) :args ((or @t411 @t413 (not @t414)))) % 0.53/0.86 (step @p387 :rule chain_m_resolution :premises (@p386 @p335 @p384) :args (@t413 @t415 (@list @t391 @t414))) % 0.53/0.86 (step @p388 :rule instantiate :premises (@p219) :args ((@list @t390 tptp.v_a____ @t389 @t387))) % 0.53/0.86 (step @p389 :rule cnf_or_pos :args (@t417)) % 0.53/0.86 (step @p390 :rule reordering :premises (@p389) :args ((or @t411 @t416 (not @t417)))) % 0.53/0.86 (step @p391 :rule chain_m_resolution :premises (@p390 @p335 @p388) :args (@t416 @t415 (@list @t391 @t417))) % 0.53/0.86 (step @p392 :rule cnf_or_pos :args (@t420)) % 0.53/0.86 (step @p393 :rule reordering :premises (@p392) :args ((or @t419 @t418 @t421))) % 0.53/0.86 (step @p394 :rule chain_m_resolution :premises (@p393 @p391 @p387) :args (@t421 @t415 (@list @t416 @t413))) % 0.53/0.86 (assume-push @p401 @t409) % 0.53/0.86 (step @p396 :rule instantiate :premises (@p383) :args ((@list @t412))) % 0.53/0.86 (step-pop @p402 :rule scope :premises (@p396)) % 0.53/0.86 (step @p397 :rule process_scope :premises (@p402) :args (@t420)) % 0.53/0.86 (step @p399 :rule implies_elim :premises (@p397)) % 0.53/0.86 (step @p400 false :rule chain_m_resolution :premises (@p399 @p394 @p383) :args (false (@list true false) (@list @t420 @t409))) % 0.53/0.86 ) % 0.53/0.86 % SZS output end Proof % 0.53/0.86 % cvc5 exiting %------------------------------------------------------------------------------