%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL802-1 : 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 : n028.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 11:23:53 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.64s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL802-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n028.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 19:23:44 UTC 2026 % 0.10/0.37 % CPUTime : % 0.19/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.64 % SZS status Unsatisfiable % 0.30/0.64 % SZS output start Proof % 0.30/0.65 ( % 0.30/0.65 (declare-sort $$unsorted 0) % 0.30/0.65 (declare-const tptp.v_i____ $$unsorted) % 0.30/0.65 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_Ex (-> $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.v_ua______ $$unsorted) % 0.30/0.65 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.30/0.65 (declare-const tptp.v_Ts____ $$unsorted) % 0.30/0.65 (declare-const tptp.v_as____ $$unsorted) % 0.30/0.65 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.v_ea______ $$unsorted) % 0.30/0.65 (declare-const tptp.v_ia______ $$unsorted) % 0.30/0.65 (declare-const tptp.v_n____ $$unsorted) % 0.30/0.65 (declare-const tptp.v_rs____ $$unsorted) % 0.30/0.65 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.30/0.65 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.30/0.65 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.v_T____ $$unsorted) % 0.30/0.65 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.tc_bool $$unsorted) % 0.30/0.65 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.30/0.65 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.v_a____ $$unsorted) % 0.30/0.65 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.v_e____ $$unsorted) % 0.30/0.65 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.30/0.65 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.30/0.65 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.65 (declare-const tptp.v_T_H____ $$unsorted) % 0.30/0.65 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.30/0.66 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.tc_nat $$unsorted) % 0.30/0.66 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.30/0.66 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.30/0.66 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (declare-const tptp.v_u____ $$unsorted) % 0.30/0.66 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.30/0.66 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.66 (define @t1 () (@var "T_a" $$unsorted)) % 0.30/0.66 (define @t2 () (@var "V_zs" $$unsorted)) % 0.30/0.66 (define @t3 () (@var "V_xa" $$unsorted)) % 0.30/0.66 (define @t4 () (@var "V_x" $$unsorted)) % 0.30/0.66 (define @t5 () (tptp.c_List_Olist_OCons @t4 (tptp.c_List_Oappend @t3 @t2 @t1) @t1)) % 0.30/0.66 (define @t6 () (tptp.c_List_Olist_OCons @t4 @t3 @t1)) % 0.30/0.66 (define @t7 () (tptp.c_List_Oappend @t6 @t2 @t1)) % 0.30/0.66 (define @t8 () (@var "V_ys" $$unsorted)) % 0.30/0.66 (define @t9 () (@var "V_xs" $$unsorted)) % 0.30/0.66 (define @t10 () (tptp.c_List_Oappend @t9 @t8 @t1)) % 0.30/0.66 (define @t11 () (tptp.c_List_Olist_OCons @t4 @t9 @t1)) % 0.30/0.66 (define @t12 () (@var "V_z" $$unsorted)) % 0.30/0.66 (define @t13 () (@var "V_y" $$unsorted)) % 0.30/0.66 (define @t14 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.30/0.66 (define @t15 () (tptp.hAPP @t14 @t4)) % 0.30/0.66 (define @t16 () (tptp.hAPP @t15 @t12)) % 0.30/0.66 (define @t17 () (tptp.hAPP @t15 @t13)) % 0.30/0.66 (define @t18 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.30/0.66 (define @t19 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.30/0.66 (define @t20 () (@list @t1 @t4 @t13 @t12)) % 0.30/0.66 (define @t21 () (@var "V_c" $$unsorted)) % 0.30/0.66 (define @t22 () (@var "V_b" $$unsorted)) % 0.30/0.66 (define @t23 () (= @t22 @t21)) % 0.30/0.66 (define @t24 () (@var "V_a" $$unsorted)) % 0.30/0.66 (define @t25 () (tptp.hAPP @t14 @t24)) % 0.30/0.66 (define @t26 () (tptp.hAPP @t25 @t21)) % 0.30/0.66 (define @t27 () (tptp.hAPP @t25 @t22)) % 0.30/0.66 (define @t28 () (not (= @t27 @t26))) % 0.30/0.66 (define @t29 () (@list @t1 @t24 @t22 @t21)) % 0.30/0.66 (define @t30 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.30/0.66 (define @t31 () (tptp.hAPP @t14 @t21)) % 0.30/0.66 (define @t32 () (tptp.hAPP @t31 @t24)) % 0.30/0.66 (define @t33 () (tptp.hAPP @t14 @t22)) % 0.30/0.66 (define @t34 () (tptp.hAPP @t33 @t24)) % 0.30/0.66 (define @t35 () (@list @t1 @t22 @t24 @t21)) % 0.30/0.66 (define @t36 () (@var "V_xs1" $$unsorted)) % 0.30/0.66 (define @t37 () (tptp.c_List_Olist_ONil @t1)) % 0.30/0.66 (define @t38 () (@var "V_list_H" $$unsorted)) % 0.30/0.66 (define @t39 () (@var "V_a_H" $$unsorted)) % 0.30/0.66 (define @t40 () (tptp.c_List_Olist_OCons @t39 @t38 @t1)) % 0.30/0.66 (define @t41 () (@var "V_r" $$unsorted)) % 0.30/0.66 (define @t42 () (not (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Olist_OCons @t13 @t8 @t1) @t11 @t1))) % 0.30/0.66 (define @t43 () (tptp.hAPP @t41 @t13)) % 0.30/0.66 (define @t44 () (tptp.hBOOL (tptp.hAPP @t43 @t4))) % 0.30/0.66 (define @t45 () (= @t4 @t13)) % 0.30/0.66 (define @t46 () (@var "V_d" $$unsorted)) % 0.30/0.66 (define @t47 () (tptp.hAPP @t33 @t46)) % 0.30/0.66 (define @t48 () (tptp.hAPP @t14 @t26)) % 0.30/0.66 (define @t49 () (tptp.hAPP @t31 @t46)) % 0.30/0.66 (define @t50 () (tptp.hAPP @t14 @t27)) % 0.30/0.66 (define @t51 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.30/0.66 (define @t52 () (@var "V_t" $$unsorted)) % 0.30/0.66 (define @t53 () (tptp.c_List_Oappend @t9 (tptp.c_List_Olist_OCons @t4 @t37 @t1) @t1)) % 0.30/0.66 (define @t54 () (tptp.c_List_Oappend @t8 (tptp.c_List_Olist_OCons @t13 @t37 @t1) @t1)) % 0.30/0.66 (define @t55 () (not (tptp.c_ListOrder_Ostep1 @t41 @t54 @t53 @t1))) % 0.30/0.66 (define @t56 () (tptp.c_ListOrder_Ostep1 @t41 @t8 @t9 @t1)) % 0.30/0.66 (define @t57 () (= @t8 @t9)) % 0.30/0.66 (define @t58 () (tptp.c_Transitive__Closure_Ortranclp @t41 @t1)) % 0.30/0.66 (define @t59 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.30/0.66 (define @t60 () (tptp.hAPP @t14 @t59)) % 0.30/0.66 (define @t61 () (@list @t1 @t4)) % 0.30/0.66 (define @t62 () (= (tptp.hAPP @t60 @t24) @t24)) % 0.30/0.66 (define @t63 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.30/0.66 (define @t64 () (@list @t1 @t24)) % 0.30/0.66 (define @t65 () (= (tptp.hAPP @t25 @t59) @t24)) % 0.30/0.66 (define @t66 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.30/0.66 (define @t67 () (tptp.hAPP @t58 @t13)) % 0.30/0.66 (define @t68 () (tptp.hBOOL (tptp.hAPP @t67 @t4))) % 0.30/0.66 (define @t69 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t41 @t1 @t1) @t1) @t4) @t13))) % 0.30/0.66 (define @t70 () (@list @t41 @t1 @t4 @t13)) % 0.30/0.66 (define @t71 () (@var "T_b" $$unsorted)) % 0.30/0.66 (define @t72 () (@var "V_f" $$unsorted)) % 0.30/0.66 (define @t73 () (tptp.c_List_Olist_OCons @t4 @t9 @t71)) % 0.30/0.66 (define @t74 () (tptp.hAPP @t33 @t21)) % 0.30/0.66 (define @t75 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t22 @t1)) % 0.30/0.66 (define @t76 () (= (tptp.hAPP (tptp.hAPP @t14 @t75) @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t74 @t1))) % 0.30/0.66 (define @t77 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.30/0.66 (define @t78 () (= (tptp.hAPP @t25 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t21 @t1)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t26 @t1))) % 0.30/0.66 (define @t79 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t1))) % 0.30/0.66 (define @t80 () (@var "V_u" $$unsorted)) % 0.30/0.66 (define @t81 () (tptp.hAPP @t14 @t13)) % 0.30/0.66 (define @t82 () (tptp.hAPP @t15 (tptp.hAPP @t81 @t12))) % 0.30/0.66 (define @t83 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.30/0.66 (define @t84 () (tptp.c_Predicate_Oconversep @t41 @t1 @t71)) % 0.30/0.66 (define @t85 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 @t24) @t22))) % 0.30/0.66 (define @t86 () (tptp.hAPP @t41 @t22)) % 0.30/0.66 (define @t87 () (tptp.hBOOL (tptp.hAPP @t86 @t24))) % 0.30/0.66 (define @t88 () (@var "V_a2" $$unsorted)) % 0.30/0.66 (define @t89 () (@var "V_a1" $$unsorted)) % 0.30/0.66 (define @t90 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t24) @t22)))) % 0.30/0.66 (define @t91 () (tptp.hAPP @t25 @t74)) % 0.30/0.66 (define @t92 () (tptp.hAPP @t50 @t21)) % 0.30/0.66 (define @t93 () (= @t92 @t91)) % 0.30/0.66 (define @t94 () (tptp.hAPP @t25 @t49)) % 0.30/0.66 (define @t95 () (@list @t1 @t24 @t21 @t46)) % 0.30/0.66 (define @t96 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.30/0.66 (define @t97 () (@list @t1)) % 0.30/0.66 (define @t98 () (tptp.c_List_Oappend @t9 @t4 @t1)) % 0.30/0.66 (define @t99 () (not @t56)) % 0.30/0.66 (define @t100 () (@var "V_us" $$unsorted)) % 0.30/0.66 (define @t101 () (@var "V_vs" $$unsorted)) % 0.30/0.66 (define @t102 () (= @t9 @t8)) % 0.30/0.66 (define @t103 () (tptp.hAPP @t58 @t24)) % 0.30/0.66 (define @t104 () (tptp.hAPP @t58 @t4)) % 0.30/0.66 (define @t105 () (tptp.c_Wellfounded_Oaccp @t41 @t24 @t1)) % 0.30/0.66 (define @t106 () (not @t105)) % 0.30/0.66 (define @t107 () (tptp.hAPP @t58 @t22)) % 0.30/0.66 (define @t108 () (not (tptp.hBOOL (tptp.hAPP @t107 @t24)))) % 0.30/0.66 (define @t109 () (tptp.c_Wellfounded_Oaccp @t41 @t22 @t1)) % 0.30/0.66 (define @t110 () (@list @t41 @t22 @t1 @t24)) % 0.30/0.66 (define @t111 () (tptp.hBOOL (tptp.hAPP @t104 @t13))) % 0.30/0.66 (define @t112 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t52)))) % 0.30/0.66 (define @t113 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t114 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t41))) % 0.30/0.66 (define @t115 () (@list @t41)) % 0.30/0.66 (define @t116 () (@list @t1 @t24 @t22)) % 0.30/0.66 (define @t117 () (@list @t1 @t4 @t13)) % 0.30/0.66 (define @t118 () (= @t13 @t4)) % 0.30/0.66 (define @t119 () (@var "V_n" $$unsorted)) % 0.30/0.66 (define @t120 () (@var "V_m" $$unsorted)) % 0.30/0.66 (define @t121 () (= @t120 @t119)) % 0.30/0.66 (define @t122 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t119 @t1)) % 0.30/0.66 (define @t123 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t120 @t1)) % 0.30/0.66 (define @t124 () (@list @t1 @t120 @t119)) % 0.30/0.66 (define @t125 () (= @t24 @t59)) % 0.30/0.66 (define @t126 () (tptp.hAPP @t25 @t24)) % 0.30/0.66 (define @t127 () (tptp.c_fequal @t1)) % 0.30/0.66 (define @t128 () (@list @t41 @t8 @t9 @t1 @t13 @t4)) % 0.30/0.66 (define @t129 () (tptp.c_HOL_Oord__class_Oless @t24 @t22 @t1)) % 0.30/0.66 (define @t130 () (not @t129)) % 0.30/0.66 (define @t131 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.30/0.66 (define @t132 () (tptp.c_HOL_Oord__class_Oless @t26 @t74 @t1)) % 0.30/0.66 (define @t133 () (@list @t1 @t24 @t21 @t22)) % 0.30/0.66 (define @t134 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.30/0.66 (define @t135 () (tptp.c_HOL_Oord__class_Oless @t32 (tptp.hAPP @t31 @t22) @t1)) % 0.30/0.66 (define @t136 () (@list @t1 @t21 @t24 @t22)) % 0.30/0.66 (define @t137 () (@var "V_list" $$unsorted)) % 0.30/0.66 (define @t138 () (not (= (tptp.c_List_Olist_OCons @t24 @t137 @t1) @t40))) % 0.30/0.66 (define @t139 () (@list @t24 @t137 @t1 @t39 @t38)) % 0.30/0.66 (define @t140 () (tptp.hBOOL (tptp.hAPP @t103 @t21))) % 0.30/0.66 (define @t141 () (@list @t41 @t1 @t24 @t21 @t22)) % 0.30/0.66 (define @t142 () (tptp.c_HOL_Oord__class_Oless @t59 @t24 @t1)) % 0.30/0.66 (define @t143 () (not @t142)) % 0.30/0.66 (define @t144 () (tptp.c_HOL_Oord__class_Oless @t59 @t126 @t1)) % 0.30/0.66 (define @t145 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.30/0.66 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t24 @t59 @t1)) % 0.30/0.66 (define @t147 () (not @t146)) % 0.30/0.66 (define @t148 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.30/0.66 (define @t149 () (tptp.c_HOL_Oord__class_Oless @t126 @t59 @t1)) % 0.30/0.66 (define @t150 () (not @t149)) % 0.30/0.66 (define @t151 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.30/0.66 (define @t152 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.30/0.66 (define @t153 () (tptp.c_HOL_Oord__class_Oless @t120 @t119 tptp.tc_nat)) % 0.30/0.66 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t123 @t122 @t1)) % 0.30/0.66 (define @t155 () (tptp.tc_List_Olist @t1)) % 0.30/0.66 (define @t156 () (tptp.c_Nat_Osize__class_Osize @t37 @t155)) % 0.30/0.66 (define @t157 () (= @t9 @t37)) % 0.30/0.66 (define @t158 () (tptp.c_Nat_Osize__class_Osize @t9 @t155)) % 0.30/0.66 (define @t159 () (@list @t9 @t1)) % 0.30/0.66 (define @t160 () (tptp.c_List_Oappend @t37 @t11 @t1)) % 0.30/0.66 (define @t161 () (not (= @t53 @t54))) % 0.30/0.66 (define @t162 () (@list @t9 @t4 @t1 @t8 @t13)) % 0.30/0.66 (define @t163 () (@var "V_s_H" $$unsorted)) % 0.30/0.66 (define @t164 () (@var "V_s" $$unsorted)) % 0.30/0.66 (define @t165 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t166 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t164) @t163)))) % 0.30/0.66 (define @t167 () (@var "V_t_H" $$unsorted)) % 0.30/0.66 (define @t168 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t52) @t167)))) % 0.30/0.66 (define @t169 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t163)) % 0.30/0.66 (define @t170 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t164)) % 0.30/0.66 (define @t171 () (tptp.hAPP @t170 @t52)) % 0.30/0.66 (define @t172 () (tptp.hAPP @t165 @t171)) % 0.30/0.66 (define @t173 () (tptp.c_Lambda_OdB_OAbs @t164)) % 0.30/0.66 (define @t174 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t41) @t164)) % 0.30/0.66 (define @t175 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t176 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t41) @t164)))) % 0.30/0.66 (define @t177 () (@var "V_i" $$unsorted)) % 0.30/0.66 (define @t178 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 (tptp.c_Lambda_Osubst @t52 @t41 @t177)) (tptp.c_Lambda_Osubst @t52 @t164 @t177)))) % 0.30/0.66 (define @t179 () (@list @t52 @t41 @t177 @t164)) % 0.30/0.66 (define @t180 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t41) @t164)))) % 0.30/0.66 (define @t181 () (tptp.c_Lambda_Osubst @t164 @t52 @t177)) % 0.30/0.66 (define @t182 () (tptp.c_Lambda_Osubst @t41 @t52 @t177)) % 0.30/0.66 (define @t183 () (@list @t41 @t52 @t177 @t164)) % 0.30/0.66 (define @t184 () (@var "V_v" $$unsorted)) % 0.30/0.66 (define @t185 () (@var "V_rs" $$unsorted)) % 0.30/0.66 (define @t186 () (tptp.c_Lambda_OdB_OVar @t119)) % 0.30/0.66 (define @t187 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t186 @t185 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t188 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t187) @t184)))) % 0.30/0.66 (define @t189 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t119 @t185 @t184)) % 0.30/0.66 (define @t190 () (@var "V_T" $$unsorted)) % 0.30/0.66 (define @t191 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t52)) % 0.30/0.66 (define @t192 () (tptp.hAPP @t191 @t80)) % 0.30/0.66 (define @t193 () (@var "V_e" $$unsorted)) % 0.30/0.66 (define @t194 () (tptp.c_Type_Otyping @t193)) % 0.30/0.66 (define @t195 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 @t192) @t190)))) % 0.30/0.66 (define @t196 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t190 @t193 @t52 @t80)) % 0.30/0.66 (define @t197 () (tptp.hAPP @t194 @t80)) % 0.30/0.66 (define @t198 () (tptp.hAPP @t194 @t52)) % 0.30/0.66 (define @t199 () (not (tptp.hBOOL (tptp.hAPP @t198 @t190)))) % 0.30/0.66 (define @t200 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 @t167) @t190))) % 0.30/0.66 (define @t201 () (@list @t193 @t167 @t190 @t52)) % 0.30/0.66 (define @t202 () (tptp.c_Lambda_Olift @t164 @t177)) % 0.30/0.66 (define @t203 () (tptp.c_Lambda_Olift @t41 @t177)) % 0.30/0.66 (define @t204 () (@list @t41 @t177 @t164)) % 0.30/0.66 (define @t205 () (tptp.c_List_Ofoldl @t14 @t24 @t9 @t1 @t1)) % 0.30/0.66 (define @t206 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t13 @t1)) % 0.30/0.66 (define @t207 () (= @t206 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t4 @t1))) % 0.30/0.66 (define @t208 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.30/0.66 (define @t209 () (not (tptp.class_Lattices_Olattice @t1))) % 0.30/0.66 (define @t210 () (tptp.c_Lambda_OdB_OAbs @t41)) % 0.30/0.66 (define @t211 () (@var "V_ss" $$unsorted)) % 0.30/0.66 (define @t212 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t164 @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t213 () (not (= @t210 @t212))) % 0.30/0.66 (define @t214 () (@list @t41 @t164 @t211)) % 0.30/0.66 (define @t215 () (= @t41 @t164)) % 0.30/0.66 (define @t216 () (@var "V_ts" $$unsorted)) % 0.30/0.66 (define @t217 () (not @t114)) % 0.30/0.66 (define @t218 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t164) @t52)))) % 0.30/0.66 (define @t219 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t80)) % 0.30/0.66 (define @t220 () (@var "V_k" $$unsorted)) % 0.30/0.66 (define @t221 () (tptp.c_Lambda_Olift @t52 @t220)) % 0.30/0.66 (define @t222 () (tptp.c_Lambda_OdB_OVar @t177)) % 0.30/0.66 (define @t223 () (@list @t52 @t177)) % 0.30/0.66 (define @t224 () (tptp.c_List_Oappend @t37 @t37 @t1)) % 0.30/0.66 (define @t225 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.30/0.66 (define @t226 () (@var "V_B" $$unsorted)) % 0.30/0.66 (define @t227 () (@var "V_A" $$unsorted)) % 0.30/0.66 (define @t228 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t227 @t226 @t225)) % 0.30/0.66 (define @t229 () (tptp.hBOOL (tptp.hAPP @t228 @t4))) % 0.30/0.66 (define @t230 () (not @t229)) % 0.30/0.66 (define @t231 () (tptp.hBOOL (tptp.hAPP @t226 @t4))) % 0.30/0.66 (define @t232 () (tptp.hBOOL (tptp.hAPP @t227 @t4))) % 0.30/0.66 (define @t233 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t186 @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t234 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t173) @t52)) % 0.30/0.66 (define @t235 () (tptp.c_Lambda_OdB_OAbs @t52)) % 0.30/0.66 (define @t236 () (@list @t164 @t52)) % 0.30/0.66 (define @t237 () (tptp.c_List_Oappend @t9 @t8 @t71)) % 0.30/0.66 (define @t238 () (@var "V_nat" $$unsorted)) % 0.30/0.66 (define @t239 () (tptp.c_Lambda_OdB_OVar @t238)) % 0.30/0.66 (define @t240 () (@var "V_dB2_H" $$unsorted)) % 0.30/0.66 (define @t241 () (@var "V_dB1_H" $$unsorted)) % 0.30/0.66 (define @t242 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t241) @t240)) % 0.30/0.66 (define @t243 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t222 @t216 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t244 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t243 @t100 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t190)))) % 0.30/0.66 (define @t245 () (@var "V_Ts" $$unsorted)) % 0.30/0.66 (define @t246 () (not (tptp.c_Type_Otypings @t193 @t216 @t245))) % 0.30/0.66 (define @t247 () (@var "V_U" $$unsorted)) % 0.30/0.66 (define @t248 () (tptp.hAPP @t194 @t243)) % 0.30/0.66 (define @t249 () (not (tptp.hBOOL (tptp.hAPP @t248 @t247)))) % 0.30/0.66 (define @t250 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t190 @t247 @t193 @t100)) % 0.30/0.66 (define @t251 () (not (tptp.hBOOL (tptp.hAPP @t248 @t190)))) % 0.30/0.66 (define @t252 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t190 @t193 @t177 @t216)) % 0.30/0.66 (define @t253 () (tptp.hAPP @t194 @t222)) % 0.30/0.66 (define @t254 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.30/0.66 (define @t255 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t254 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t256 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t194 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t52 @t216 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t190))) % 0.30/0.66 (define @t257 () (not @t256)) % 0.30/0.66 (define @t258 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t190 @t193 @t52 @t216)) % 0.30/0.66 (define @t259 () (@list @t193 @t52 @t190 @t216)) % 0.30/0.66 (define @t260 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t190 @t193 @t52 @t216)) % 0.30/0.66 (define @t261 () (@list @t193 @t216 @t190 @t52)) % 0.30/0.66 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t59 @t122 @t1)) % 0.30/0.66 (define @t263 () (tptp.c_HOL_Oord__class_Oless @t152 @t119 tptp.tc_nat)) % 0.30/0.66 (define @t264 () (@list @t1 @t119)) % 0.30/0.66 (define @t265 () (tptp.c_List_Ofoldr @t14 @t9 @t59 @t1 @t1)) % 0.30/0.66 (define @t266 () (tptp.c_Lambda_OdB_OVar @t120)) % 0.30/0.66 (define @t267 () (@list @t120)) % 0.30/0.66 (define @t268 () (= @t211 @t175)) % 0.30/0.66 (define @t269 () (not (= @t266 @t212))) % 0.30/0.66 (define @t270 () (@list @t120 @t164 @t211)) % 0.30/0.66 (define @t271 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t210 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t272 () (not (= @t212 @t210))) % 0.30/0.66 (define @t273 () (@list @t164 @t211 @t41)) % 0.30/0.66 (define @t274 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t41 @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t275 () (@list @t41 @t211 @t164)) % 0.30/0.66 (define @t276 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t210) @t164) @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t277 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t41 @t164 @t152) @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t278 () (@list @t227 @t226 @t1)) % 0.30/0.66 (define @t279 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.30/0.66 (define @t280 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t279)) % 0.30/0.66 (define @t281 () (tptp.c_List_Olist_ONil @t71)) % 0.30/0.66 (define @t282 () (tptp.c_Lambda_OdB_OVar @t4)) % 0.30/0.66 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t4 @t4 tptp.tc_nat)) % 0.30/0.66 (define @t284 () (@list @t119)) % 0.30/0.66 (define @t285 () (tptp.c_HOL_Oord__class_Oless @t13 @t4 @t1)) % 0.30/0.66 (define @t286 () (not @t285)) % 0.30/0.66 (define @t287 () (not (tptp.class_Orderings_Oorder @t1))) % 0.30/0.66 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t4 @t13 @t1)) % 0.30/0.66 (define @t289 () (not @t288)) % 0.30/0.66 (define @t290 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.30/0.66 (define @t291 () (= @t8 @t2)) % 0.30/0.66 (define @t292 () (@list @t9 @t8 @t1 @t2)) % 0.30/0.66 (define @t293 () (tptp.c_List_Oappend @t9 @t37 @t1)) % 0.30/0.66 (define @t294 () (tptp.c_List_Oappend @t37 @t8 @t1)) % 0.30/0.66 (define @t295 () (@var "V_dB_H" $$unsorted)) % 0.30/0.66 (define @t296 () (tptp.c_Lambda_OdB_OAbs @t295)) % 0.30/0.66 (define @t297 () (tptp.c_Lambda_Olift @t52 @t177)) % 0.30/0.66 (define @t298 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t12 @t1) @t1)) % 0.30/0.66 (define @t299 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t206 @t12 @t1) @t298)) % 0.30/0.66 (define @t300 () (= @t298 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t12 @t1) @t1))) % 0.30/0.66 (define @t301 () (@var "V_C" $$unsorted)) % 0.30/0.66 (define @t302 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t227 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t226 @t301 @t225) @t225)) % 0.30/0.66 (define @t303 () (not (= @t37 @t10))) % 0.30/0.66 (define @t304 () (@list @t1 @t9 @t8)) % 0.30/0.66 (define @t305 () (= @t8 @t37)) % 0.30/0.66 (define @t306 () (@var "V_dB" $$unsorted)) % 0.30/0.66 (define @t307 () (not (= @t10 @t37))) % 0.30/0.66 (define @t308 () (@list @t9 @t8 @t1)) % 0.30/0.66 (define @t309 () (tptp.hAPP (tptp.c_Type_Otyping tptp.v_e____) tptp.v_u____)) % 0.30/0.66 (define @t310 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 @t1))) % 0.30/0.66 (define @t311 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.30/0.66 (define @t312 () (@list @t1 @t13 @t4)) % 0.30/0.66 (define @t313 () (tptp.c_HOL_Oord__class_Oless @t119 @t120 tptp.tc_nat)) % 0.30/0.66 (define @t314 () (@var "V_P" $$unsorted)) % 0.30/0.66 (define @t315 () (@var "V_dB2" $$unsorted)) % 0.30/0.66 (define @t316 () (@var "V_dB1" $$unsorted)) % 0.30/0.66 (define @t317 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t316) @t315)) % 0.30/0.66 (define @t318 () (not (= @t317 @t242))) % 0.30/0.66 (define @t319 () (@list @t316 @t315 @t241 @t240)) % 0.30/0.66 (define @t320 () (tptp.c_HOL_Oord__class_Oless @t75 @t4 @t1)) % 0.30/0.66 (define @t321 () (@list @t1 @t24 @t22 @t4)) % 0.30/0.66 (define @t322 () (= @t185 @t211)) % 0.30/0.66 (define @t323 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t210 @t185 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t173 @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/0.66 (define @t324 () (@list @t41 @t185 @t164 @t211)) % 0.30/0.66 (define @t325 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t190) @t247)) % 0.30/0.66 (define @t326 () (@var "V_env" $$unsorted)) % 0.30/0.66 (define @t327 () (tptp.c_Type_Otyping @t326)) % 0.30/0.66 (define @t328 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t206 @t1) @t206)) % 0.30/0.66 (define @t329 () (@var "V_j" $$unsorted)) % 0.30/0.66 (define @t330 () (not (tptp.c_HOL_Oord__class_Oless @t329 @t177 tptp.tc_nat))) % 0.30/0.66 (define @t331 () (tptp.c_Lambda_OdB_OVar @t329)) % 0.30/0.66 (define @t332 () (@var "V_type2_H" $$unsorted)) % 0.30/0.66 (define @t333 () (@var "V_type2" $$unsorted)) % 0.30/0.66 (define @t334 () (@var "V_type1_H" $$unsorted)) % 0.30/0.66 (define @t335 () (@var "V_type1" $$unsorted)) % 0.30/0.66 (define @t336 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t335) @t333) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t334) @t332)))) % 0.30/0.66 (define @t337 () (@list @t335 @t333 @t334 @t332)) % 0.30/0.66 (define @t338 () (@list @t227 @t1)) % 0.30/0.66 (define @t339 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t266 @t185 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t233))) % 0.30/0.66 (define @t340 () (@list @t120 @t185 @t119 @t211)) % 0.30/0.66 (define @t341 () (@var "V_nat_H" $$unsorted)) % 0.30/0.66 (define @t342 () (not (tptp.c_HOL_Oord__class_Oless @t22 @t24 @t1))) % 0.30/0.66 (define @t343 () (tptp.tc_fun tptp.tc_Type_Otype tptp.tc_bool)) % 0.30/0.66 (define @t344 () (tptp.c_Ex tptp.tc_Type_Otype)) % 0.30/0.66 (define @t345 () (forall (@list @t193 @t216 @t245) (or (tptp.c_List_Olistsp (tptp.c_COMBB @t344 @t194 @t343 tptp.tc_bool tptp.tc_Lambda_OdB) @t216 tptp.tc_Lambda_OdB) @t246))) % 0.30/0.66 (define @t346 () (@var "T_c" $$unsorted)) % 0.30/0.66 (define @t347 () (@var "V_g" $$unsorted)) % 0.30/0.66 (define @t348 () (tptp.c_List_Olistsp @t227 @t9 @t1)) % 0.30/0.66 (define @t349 () (tptp.c_List_Olistsp @t227 @t8 @t1)) % 0.30/0.66 (define @t350 () (tptp.c_List_Olistsp @t227 @t10 @t1)) % 0.30/0.66 (define @t351 () (@var "V_l" $$unsorted)) % 0.30/0.66 (define @t352 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.30/0.66 (define @t353 () (tptp.c_Type_Otyping @t352)) % 0.30/0.66 (define @t354 () (@var "V_Ta" $$unsorted)) % 0.30/0.66 (define @t355 () (@var "V_T2" $$unsorted)) % 0.30/0.66 (define @t356 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t80)))) % 0.30/0.66 (define @t357 () (tptp.c_Lambda_Osubst @t52 @t80 @t177)) % 0.30/0.66 (define @t358 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t357))) % 0.30/0.66 (define @t359 () (@var "V_T1" $$unsorted)) % 0.30/0.66 (define @t360 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t359) @t355)))) % 0.30/0.66 (define @t361 () (@list @t359 @t355 @t52 @t80 @t177 @t193 @t354)) % 0.30/0.66 (define @t362 () (tptp.c_Type_Otypings @t352 tptp.v_as____ tptp.v_Ts____)) % 0.30/0.66 (define @t363 () (not @t350)) % 0.30/0.66 (define @t364 () (@var "V_R" $$unsorted)) % 0.30/0.66 (define @t365 () (@var "V_Q" $$unsorted)) % 0.30/0.66 (define @t366 () (@var "V_e_H" $$unsorted)) % 0.30/0.66 (define @t367 () (tptp.c_Type_Otyping @t366)) % 0.30/0.66 (define @t368 () (tptp.c_List_Olistsp (tptp.c_COMBB @t344 @t353 @t343 tptp.tc_bool tptp.tc_Lambda_OdB) tptp.v_as____ tptp.tc_Lambda_OdB)) % 0.30/0.66 (define @t369 () (@var "T_1" $$unsorted)) % 0.30/0.66 (define @t370 () (not (tptp.class_Lattices_Olattice @t369))) % 0.30/0.66 (define @t371 () (@var "T_2" $$unsorted)) % 0.30/0.66 (define @t372 () (tptp.tc_fun @t371 @t369)) % 0.30/0.66 (define @t373 () (@list @t371 @t369)) % 0.30/0.66 (define @t374 () (@var "V_Y" $$unsorted)) % 0.30/0.66 (define @t375 () (@var "V_X" $$unsorted)) % 0.30/0.66 (define @t376 () (not @t362)) % 0.30/0.66 (define @t377 () (or @t368 @t376)) % 0.30/0.66 (define @t378 () (not @t377)) % 0.30/0.66 (define @t379 () (@list true false)) % 0.30/0.66 (assume @p1 (forall (@list @t4 @t3 @t1 @t2) (= @t7 @t5))) % 0.30/0.66 (assume @p2 (forall (@list @t4 @t9 @t1 @t8) (= (tptp.c_List_Oappend @t11 @t8 @t1) (tptp.c_List_Olist_OCons @t4 @t10 @t1)))) % 0.30/0.66 (assume @p3 (forall @t20 (or @t19 @t18 (not (= @t17 @t16)) (= @t13 @t12)))) % 0.30/0.66 (assume @p4 (forall @t29 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t28 @t23))) % 0.30/0.66 (assume @p5 (forall @t29 (or @t30 @t28 @t23))) % 0.30/0.66 (assume @p6 (forall @t35 (or @t30 (not (= @t34 @t32)) @t23))) % 0.30/0.66 (assume @p7 (forall (@list @t4 @t3 @t2 @t1) (= @t5 @t7))) % 0.30/0.66 (assume @p8 (forall (@list @t4 @t36 @t2 @t1) (= (tptp.c_List_Olist_OCons @t4 (tptp.c_List_Oappend @t36 @t2 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t4 @t36 @t1) @t2 @t1)))) % 0.30/0.66 (assume @p9 (forall (@list @t4 @t3 @t1) (not (= @t6 @t37)))) % 0.30/0.66 (assume @p10 (forall (@list @t39 @t38 @t1) (not (= @t40 @t37)))) % 0.30/0.66 (assume @p11 (forall (@list @t4 @t13 @t41 @t8 @t1 @t9) (or @t45 @t44 @t42))) % 0.30/0.66 (assume @p12 (forall (@list @t1 @t24 @t22 @t21 @t46) (or @t51 (= (tptp.hAPP @t50 @t49) (tptp.hAPP @t48 @t47))))) % 0.30/0.66 (assume @p13 (forall (@list @t4 @t52 @t1) (not (= (tptp.c_List_Olist_OCons @t4 @t52 @t1) @t52)))) % 0.30/0.66 (assume @p14 (forall (@list @t9 @t4 @t1) (not (= @t9 @t11)))) % 0.30/0.66 (assume @p15 (forall (@list @t8 @t9 @t41 @t1 @t13 @t4) (or @t57 @t56 @t55))) % 0.30/0.66 (assume @p16 (forall (@list @t41 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t58 @t1) @t58))) % 0.30/0.66 (assume @p17 (forall @t61 (or @t51 (= (tptp.hAPP @t60 @t4) @t4)))) % 0.30/0.66 (assume @p18 (forall @t64 (or @t63 @t62))) % 0.30/0.66 (assume @p19 (forall @t61 (or @t19 @t18 (= @t4 (tptp.hAPP @t15 @t59))))) % 0.30/0.66 (assume @p20 (forall @t64 (or @t63 @t65))) % 0.30/0.66 (assume @p21 (forall @t64 (or @t66 @t62))) % 0.30/0.66 (assume @p22 (forall @t64 (or @t66 @t65))) % 0.30/0.66 (assume @p23 (forall @t64 (or @t51 @t65))) % 0.30/0.66 (assume @p24 (forall @t64 (or @t51 @t62))) % 0.30/0.66 (assume @p25 (forall (@list @t41 @t13 @t4 @t8 @t9 @t1) (or @t44 @t56 @t55))) % 0.30/0.66 (assume @p26 (forall @t70 (or @t69 (not @t68)))) % 0.30/0.66 (assume @p27 (forall (@list @t41 @t1 @t13 @t4) (or @t68 (not @t69)))) % 0.30/0.66 (assume @p28 (forall (@list @t72 @t24 @t4 @t9 @t71 @t1) (= (tptp.c_List_Ofoldl @t72 @t24 @t73 @t1 @t71) (tptp.c_List_Ofoldl @t72 (tptp.hAPP (tptp.hAPP @t72 @t24) @t4) @t9 @t1 @t71)))) % 0.30/0.66 (assume @p29 (forall @t29 (or @t77 @t76))) % 0.30/0.66 (assume @p30 (forall @t29 (or @t77 @t78))) % 0.30/0.66 (assume @p31 (forall @t29 (or @t79 @t76))) % 0.30/0.66 (assume @p32 (forall @t29 (or @t79 @t78))) % 0.30/0.66 (assume @p33 (forall (@list @t1 @t4 @t13 @t12 @t80) (or @t83 (not (= @t82 (tptp.hAPP @t81 @t80))) (= @t16 @t80)))) % 0.30/0.66 (assume @p34 (forall (@list @t41 @t22 @t24 @t1 @t71) (or @t87 (not @t85)))) % 0.30/0.66 (assume @p35 (forall (@list @t41 @t1 @t71 @t24 @t22) (or @t85 (not @t87)))) % 0.30/0.66 (assume @p36 (forall (@list @t41 @t88 @t89 @t1 @t71) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t88) @t89)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 @t89) @t88)))))) % 0.30/0.66 (assume @p37 (forall (@list @t41 @t1 @t71 @t22 @t24) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t84 @t22) @t24)) @t90))) % 0.30/0.66 (assume @p38 (forall @t29 (or @t51 @t93))) % 0.30/0.66 (assume @p39 (forall @t95 (or @t51 (= @t94 (tptp.hAPP @t31 (tptp.hAPP @t25 @t46)))))) % 0.30/0.66 (assume @p40 (forall @t29 (or @t51 (= @t92 (tptp.hAPP @t48 @t22))))) % 0.30/0.66 (assume @p41 (forall @t95 (or @t51 (= @t94 (tptp.hAPP @t48 @t46))))) % 0.30/0.66 (assume @p42 (forall @t29 (or @t96 @t93))) % 0.30/0.66 (assume @p43 (forall @t29 (or @t63 (= @t91 (tptp.hAPP @t33 @t26))))) % 0.30/0.66 (assume @p44 (forall @t29 (or @t63 @t93))) % 0.30/0.66 (assume @p45 (forall @t20 (or @t83 (= @t82 (tptp.hAPP @t81 @t16))))) % 0.30/0.66 (assume @p46 (forall @t20 (or @t51 (= @t82 (tptp.hAPP (tptp.hAPP @t14 @t17) @t12))))) % 0.30/0.66 (assume @p47 (forall @t97 (or @t77 (= (tptp.hAPP @t60 @t59) @t59)))) % 0.30/0.66 (assume @p48 (forall (@list @t41 @t8 @t9 @t1 @t4) (or @t99 (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Oappend @t8 @t4 @t1) @t98 @t1)))) % 0.30/0.66 (assume @p49 (forall (@list @t41 @t4 @t101 @t1 @t100) (or (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Oappend @t4 @t101 @t1) (tptp.c_List_Oappend @t4 @t100 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t41 @t101 @t100 @t1))))) % 0.30/0.66 (assume @p50 (forall (@list @t4 @t13 @t9 @t8 @t41 @t1) (or @t45 @t102 @t42))) % 0.30/0.66 (assume @p51 (forall (@list @t41 @t13 @t3 @t4 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t43 @t3))) (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Olist_OCons @t13 @t4 @t1) (tptp.c_List_Olist_OCons @t3 @t4 @t1) @t1)))) % 0.30/0.66 (assume @p52 (forall (@list @t41 @t1 @t24) (tptp.hBOOL (tptp.hAPP @t103 @t24)))) % 0.30/0.66 (assume @p53 (forall (@list @t41 @t1 @t4) (tptp.hBOOL (tptp.hAPP @t104 @t4)))) % 0.30/0.66 (assume @p54 (forall @t110 (or @t109 @t108 @t106))) % 0.30/0.66 (assume @p55 (forall @t110 (or @t109 @t106 @t108))) % 0.30/0.66 (assume @p56 (forall (@list @t41 @t1 @t4 @t12 @t13) (or (tptp.hBOOL (tptp.hAPP @t104 @t12)) (not (tptp.hBOOL (tptp.hAPP @t67 @t12))) (not @t111)))) % 0.30/0.66 (assume @p57 (forall (@list @t52) (or (tptp.c_Wellfounded_Oaccp @t113 @t52 tptp.tc_Lambda_OdB) @t112))) % 0.30/0.66 (assume @p58 (forall @t115 (or @t114 (not (tptp.c_Wellfounded_Oaccp @t113 @t41 tptp.tc_Lambda_OdB))))) % 0.30/0.66 (assume @p59 (forall (@list @t1 @t24 @t21) (or @t51 (= @t26 @t32)))) % 0.30/0.66 (assume @p60 (forall @t116 (or @t63 (= @t27 @t34)))) % 0.30/0.66 (assume @p61 (forall @t117 (or @t51 (= @t17 (tptp.hAPP @t81 @t4))))) % 0.30/0.66 (assume @p62 (forall (@list @t1 @t4 @t13 @t2) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t14 @t17 @t2 @t1 @t1) (tptp.hAPP @t15 (tptp.c_List_Ofoldl @t14 @t13 @t2 @t1 @t1)))))) % 0.30/0.66 (assume @p63 (forall (@list @t41 @t13 @t4 @t8 @t1 @t9) (or @t44 @t118 @t55))) % 0.30/0.66 (assume @p64 (forall @t124 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t123 @t122)) @t121))) % 0.30/0.66 (assume @p65 (forall (@list @t1 @t4 @t24) (or @t19 @t18 (not (= @t4 (tptp.hAPP @t15 @t24))) @t125))) % 0.30/0.66 (assume @p66 (forall @t64 (or @t77 (not (= @t126 @t59)) @t125))) % 0.30/0.66 (assume @p67 (forall @t70 (or @t111 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t4) @t13)))))) % 0.30/0.66 (assume @p68 (forall (@list @t41 @t1 @t9) (not (tptp.c_ListOrder_Ostep1 @t41 @t37 @t9 @t1)))) % 0.30/0.66 (assume @p69 (forall (@list @t41 @t9 @t1) (not (tptp.c_ListOrder_Ostep1 @t41 @t9 @t37 @t1)))) % 0.30/0.66 (assume @p70 (forall @t97 (= (tptp.c_Predicate_Oconversep @t127 @t1 @t1) @t127))) % 0.30/0.66 (assume @p71 (forall @t128 (or @t56 @t102 @t42))) % 0.30/0.66 (assume @p72 (forall (@list @t1 @t24 @t21 @t22 @t46) (or @t131 (tptp.c_HOL_Oord__class_Oless @t26 @t47 @t1) (not (tptp.c_HOL_Oord__class_Oless @t21 @t46 @t1)) @t130))) % 0.30/0.66 (assume @p73 (forall (@list @t1 @t39 @t38) (not (= @t37 @t40)))) % 0.30/0.66 (assume @p74 (forall (@list @t8 @t9 @t13 @t4 @t41 @t1) (or @t57 @t118 @t55))) % 0.30/0.66 (assume @p75 (forall (@list @t72 @t4 @t9 @t71 @t24 @t1) (= (tptp.c_List_Ofoldr @t72 @t73 @t24 @t71 @t1) (tptp.hAPP (tptp.hAPP @t72 @t4) (tptp.c_List_Ofoldr @t72 @t9 @t24 @t71 @t1))))) % 0.30/0.66 (assume @p76 (forall (@list @t41 @t1 @t71) (= (tptp.c_Predicate_Oconversep @t84 @t71 @t1) @t41))) % 0.30/0.66 (assume @p77 (forall @t133 (or @t131 @t132 @t130))) % 0.30/0.66 (assume @p78 (forall @t133 (or @t134 @t132 @t130))) % 0.30/0.66 (assume @p79 (forall @t29 (or @t134 @t129 (not @t132)))) % 0.30/0.66 (assume @p80 (forall @t136 (or @t131 @t135 @t130))) % 0.30/0.66 (assume @p81 (forall @t136 (or @t134 @t135 @t130))) % 0.30/0.66 (assume @p82 (forall @t29 (or @t134 @t129 (not @t135)))) % 0.30/0.66 (assume @p83 (forall @t139 (or @t138 (= @t24 @t39)))) % 0.30/0.66 (assume @p84 (forall @t139 (or @t138 (= @t137 @t38)))) % 0.30/0.66 (assume @p85 (forall @t128 (or @t56 @t44 @t42))) % 0.30/0.66 (assume @p86 (forall (@list @t41 @t4 @t8 @t1 @t9) (or (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Olist_OCons @t4 @t8 @t1) @t11 @t1) @t99))) % 0.30/0.66 (assume @p87 (forall @t141 (or @t140 (not (tptp.hBOOL (tptp.hAPP @t107 @t21))) @t90))) % 0.30/0.66 (assume @p88 (forall @t141 (or @t140 (not (tptp.hBOOL (tptp.hAPP @t86 @t21))) (not (tptp.hBOOL (tptp.hAPP @t103 @t22)))))) % 0.30/0.66 (assume @p89 (forall (@list @t41 @t13 @t1 @t24) (or (tptp.c_Wellfounded_Oaccp @t41 @t13 @t1) (not (tptp.hBOOL (tptp.hAPP @t43 @t24))) @t106))) % 0.30/0.66 (assume @p90 (forall (@list @t41 @t24 @t1 @t22) (or @t105 @t90 (not @t109)))) % 0.30/0.66 (assume @p91 (forall @t64 (or @t77 @t144 @t143))) % 0.30/0.66 (assume @p92 (forall @t64 (or @t77 @t142 (not @t144)))) % 0.30/0.66 (assume @p93 (forall (@list @t1 @t120) (or @t145 (not (tptp.c_HOL_Oord__class_Oless @t123 @t59 @t1))))) % 0.30/0.66 (assume @p94 (forall @t116 (or @t148 (tptp.c_HOL_Oord__class_Oless @t27 @t59 @t1) (not (tptp.c_HOL_Oord__class_Oless @t22 @t59 @t1)) @t147))) % 0.30/0.66 (assume @p95 (forall @t64 (or @t77 @t149 @t147))) % 0.30/0.66 (assume @p96 (forall @t64 (or @t77 @t146 @t150))) % 0.30/0.66 (assume @p97 (forall @t64 (or @t151 @t146 @t150))) % 0.30/0.66 (assume @p98 (forall @t64 (or @t151 @t149 @t147))) % 0.30/0.66 (assume @p99 (forall @t116 (or @t148 (tptp.c_HOL_Oord__class_Oless @t59 @t27 @t1) (not (tptp.c_HOL_Oord__class_Oless @t59 @t22 @t1)) @t143))) % 0.30/0.66 (assume @p100 (forall @t35 (or @t145 (tptp.c_HOL_Oord__class_Oless @t22 @t26 @t1) (not (tptp.c_HOL_Oord__class_Oless @t22 @t21 @t1)) @t143))) % 0.30/0.66 (assume @p101 (forall @t97 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t152 @t1) @t59)))) % 0.30/0.66 (assume @p102 (forall @t124 (or @t145 @t154 (not @t153)))) % 0.30/0.66 (assume @p103 (forall @t124 (or @t145 @t153 (not @t154)))) % 0.30/0.66 (assume @p104 (forall @t97 (= @t156 @t152))) % 0.30/0.66 (assume @p105 (forall @t159 (or (not (= @t158 @t152)) @t157))) % 0.30/0.66 (assume @p106 (forall (@list @t1 @t4 @t2) (or @t66 (= (tptp.hAPP @t15 (tptp.c_List_Ofoldl @t14 @t59 @t2 @t1 @t1)) (tptp.c_List_Ofoldl @t14 @t4 @t2 @t1 @t1))))) % 0.30/0.66 (assume @p107 (forall (@list @t4 @t9 @t1) (= @t11 @t160))) % 0.30/0.66 (assume @p108 (forall (@list @t1 @t4 @t9) (= @t160 @t11))) % 0.30/0.66 (assume @p109 (forall @t162 (or @t161 @t102))) % 0.30/0.66 (assume @p110 (forall @t162 (or @t161 @t45))) % 0.30/0.66 (assume @p111 (forall (@list @t164 @t52 @t163 @t167) (or (tptp.hBOOL (tptp.hAPP @t172 (tptp.hAPP @t169 @t167))) @t168 @t166))) % 0.30/0.66 (assume @p112 (forall (@list @t164 @t52 @t163) (or (tptp.hBOOL (tptp.hAPP @t172 (tptp.hAPP @t169 @t52))) @t166))) % 0.30/0.66 (assume @p113 (forall (@list @t164 @t52 @t167) (or (tptp.hBOOL (tptp.hAPP @t172 (tptp.hAPP @t170 @t167))) @t168))) % 0.30/0.66 (assume @p114 (forall (@list @t164 @t163) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t173) (tptp.c_Lambda_OdB_OAbs @t163))) @t166))) % 0.30/0.66 (assume @p115 (forall (@list @t41 @t164 @t52) (or (not (= @t174 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t52 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t174 @t52)))) % 0.30/0.66 (assume @p116 (forall (@list @t41 @t164) (= @t174 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t174 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/0.66 (assume @p117 (forall @t179 (or @t178 @t176))) % 0.30/0.66 (assume @p118 (forall @t183 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t182) @t181)) @t180))) % 0.30/0.66 (assume @p119 (forall @t179 (or @t178 @t180))) % 0.30/0.66 (assume @p120 (forall (@list @t185 @t119 @t184) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t185 @t189 tptp.tc_Lambda_OdB) @t188))) % 0.30/0.66 (assume @p121 (forall (@list @t193 @t80 @t190 @t52) (or (tptp.hBOOL (tptp.hAPP @t197 @t196)) @t195))) % 0.30/0.66 (assume @p122 (forall @t201 (or @t200 @t199 @t168))) % 0.30/0.66 (assume @p123 (forall @t204 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t203) @t202)) @t180))) % 0.30/0.66 (assume @p124 (forall (@list @t1 @t9 @t24) (or @t96 (= (tptp.c_List_Ofoldr @t14 @t9 @t24 @t1 @t1) @t205)))) % 0.30/0.66 (assume @p125 (forall @t117 (or @t208 @t207))) % 0.30/0.66 (assume @p126 (forall @t117 (or @t209 @t207))) % 0.30/0.66 (assume @p127 (forall @t214 (or @t213 (= @t210 @t164)))) % 0.30/0.66 (assume @p128 (forall (@list @t41 @t216 @t164) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t41 @t216 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t164 @t216 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t215))) % 0.30/0.66 (assume @p129 (forall @t115 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t210)) @t217))) % 0.30/0.66 (assume @p130 (forall (@list @t80 @t164 @t52) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t219 @t164)) (tptp.hAPP @t219 @t52))) @t218))) % 0.30/0.66 (assume @p131 (forall (@list @t164 @t80 @t52) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t170 @t80)) @t192)) @t218))) % 0.30/0.66 (assume @p132 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.30/0.66 (assume @p133 (forall (@list @t52 @t220 @t164) (= (tptp.c_Lambda_Osubst @t221 @t164 @t220) @t52))) % 0.30/0.66 (assume @p134 (forall (@list @t177 @t220) (or (= (tptp.c_Lambda_Olift @t222 @t220) @t222) (not (tptp.c_HOL_Oord__class_Oless @t177 @t220 tptp.tc_nat))))) % 0.30/0.66 (assume @p135 (forall @t204 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t203) @t202)) @t176))) % 0.30/0.66 (assume @p136 (forall @t223 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t191 @t222))) @t112))) % 0.30/0.66 (assume @p137 (forall @t97 (= @t37 @t224))) % 0.30/0.66 (assume @p138 (forall (@list @t226 @t4 @t227 @t1) (or @t231 @t230))) % 0.30/0.66 (assume @p139 (forall (@list @t227 @t4 @t226 @t1) (or @t232 @t230))) % 0.30/0.66 (assume @p140 (forall (@list @t164 @t52 @t119 @t211) (not (= @t234 @t233)))) % 0.30/0.66 (assume @p141 (forall @t236 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t173) @t235)) @t218))) % 0.30/0.66 (assume @p142 (forall (@list @t72 @t24 @t9 @t8 @t71 @t1) (= (tptp.c_List_Ofoldl @t72 @t24 @t237 @t1 @t71) (tptp.c_List_Ofoldl @t72 (tptp.c_List_Ofoldl @t72 @t24 @t9 @t1 @t71) @t8 @t1 @t71)))) % 0.30/0.66 (assume @p143 (forall (@list @t241 @t240 @t238) (not (= @t242 @t239)))) % 0.30/0.66 (assume @p144 (forall (@list @t247 @t190 @t193 @t100 @t177 @t216 @t245) (or (= @t247 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t250 @t190 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t249 @t246 @t244))) % 0.30/0.66 (assume @p145 (forall (@list @t193 @t177 @t190 @t216) (or (tptp.hBOOL (tptp.hAPP @t253 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t252 @t190 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t251))) % 0.30/0.66 (assume @p146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype)) @t255) tptp.v_T_Ha______))) % 0.30/0.66 (assume @p147 (forall @t259 (or (tptp.hBOOL (tptp.hAPP @t198 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t258 @t190 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t257))) % 0.30/0.66 (assume @p148 (forall @t259 (or (tptp.hBOOL (tptp.hAPP @t198 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t260 @t190 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t257))) % 0.30/0.66 (assume @p149 (forall (@list @t193 @t216 @t190 @t177) (or (tptp.c_Type_Otypings @t193 @t216 @t252) @t251))) % 0.30/0.66 (assume @p150 (forall (@list @t193 @t100 @t190 @t247 @t177 @t216 @t245) (or (tptp.c_Type_Otypings @t193 @t100 @t250) @t249 @t246 @t244))) % 0.30/0.66 (assume @p151 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.30/0.66 (assume @p152 (forall @t261 (or (tptp.c_Type_Otypings @t193 @t216 @t260) @t257))) % 0.30/0.66 (assume @p153 (forall @t261 (or (tptp.c_Type_Otypings @t193 @t216 @t258) @t257))) % 0.30/0.66 (assume @p154 (forall (@list @t184 @t119 @t185) (or (= @t184 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t186 @t189 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t188))) % 0.30/0.66 (assume @p155 (forall @t264 (or @t145 @t263 (not @t262)))) % 0.30/0.66 (assume @p156 (forall @t264 (or @t145 @t262 (not @t263)))) % 0.30/0.66 (assume @p157 (forall (@list @t193 @t52 @t190 @t80) (or (tptp.hBOOL (tptp.hAPP @t198 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t196) @t190))) @t195))) % 0.30/0.66 (assume @p158 (forall (@list @t1 @t9) (or @t66 (= (tptp.c_List_Ofoldl @t14 @t59 @t9 @t1 @t1) @t265)))) % 0.30/0.66 (assume @p159 (forall (@list @t1 @t24 @t9) (or @t66 (= @t205 (tptp.hAPP @t25 @t265))))) % 0.30/0.66 (assume @p160 (forall @t267 (= @t266 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t266 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/0.66 (assume @p161 (forall @t270 (or @t269 @t268))) % 0.30/0.66 (assume @p162 (forall @t214 (or @t213 @t268))) % 0.30/0.66 (assume @p163 (forall @t115 (= @t210 @t271))) % 0.30/0.66 (assume @p164 (forall @t273 (or @t272 @t268))) % 0.30/0.66 (assume @p165 (forall @t115 (= @t271 @t210))) % 0.30/0.66 (assume @p166 (forall @t275 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t165 @t274) @t212)) @t180))) % 0.30/0.66 (assume @p167 (forall (@list @t41 @t185 @t211) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t41 @t185 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t274)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t185 @t211 tptp.tc_Lambda_OdB))))) % 0.30/0.66 (assume @p168 (forall @t214 (or (not (tptp.c_Wellfounded_Oaccp @t113 @t277 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t113 @t164 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t113 @t276 tptp.tc_Lambda_OdB)))) % 0.30/0.66 (assume @p169 (forall @t159 (or (tptp.c_HOL_Oord__class_Oless @t152 @t158 tptp.tc_nat) @t157))) % 0.30/0.66 (assume @p170 (forall @t97 (not (tptp.c_HOL_Oord__class_Oless @t152 @t156 tptp.tc_nat)))) % 0.30/0.66 (assume @p171 (forall @t278 (= @t228 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t226 @t227 @t225)))) % 0.30/0.66 (assume @p172 (= tptp.v_T____ @t280)) % 0.30/0.66 (assume @p173 (forall (@list @t72 @t71 @t24 @t1) (= (tptp.c_List_Ofoldr @t72 @t281 @t24 @t71 @t1) @t24))) % 0.30/0.66 (assume @p174 (forall (@list @t4 @t164) (or @t283 (= (tptp.c_Lambda_Osubst @t282 @t164 @t4) @t164)))) % 0.30/0.66 (assume @p175 (forall @t284 (not (tptp.c_HOL_Oord__class_Oless @t119 @t152 tptp.tc_nat)))) % 0.30/0.66 (assume @p176 (forall @t267 (not (tptp.c_HOL_Oord__class_Oless @t120 @t152 tptp.tc_nat)))) % 0.30/0.66 (assume @p177 (forall (@list @t1 @t12 @t4 @t13) (or @t287 (tptp.c_HOL_Oord__class_Oless @t12 @t4 @t1) (not (tptp.c_HOL_Oord__class_Oless @t12 @t13 @t1)) @t286))) % 0.30/0.66 (assume @p178 (forall (@list @t1 @t4 @t12 @t13) (or @t290 (tptp.c_HOL_Oord__class_Oless @t4 @t12 @t1) (not (tptp.c_HOL_Oord__class_Oless @t13 @t12 @t1)) @t289))) % 0.30/0.66 (assume @p179 (forall (@list @t193 @t52 @t216 @t190 @t245) (or @t256 @t246 (not (tptp.hBOOL (tptp.hAPP @t198 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t245 @t190 tptp.tc_Type_Otype tptp.tc_Type_Otype))))))) % 0.30/0.66 (assume @p180 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.30/0.66 (assume @p181 (forall (@list @t177 @t164 @t220) (or (= (tptp.c_Lambda_Osubst @t222 @t164 @t220) @t222) (= @t177 @t220) (tptp.c_HOL_Oord__class_Oless @t220 @t177 tptp.tc_nat)))) % 0.30/0.66 (assume @p182 (forall @t183 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t182) @t181)) @t176))) % 0.30/0.66 (assume @p183 (forall (@list @t8 @t9 @t1 @t2) (or (not (= (tptp.c_List_Oappend @t8 @t9 @t1) (tptp.c_List_Oappend @t2 @t9 @t1))) @t291))) % 0.30/0.66 (assume @p184 (forall @t292 (or (not (= @t10 (tptp.c_List_Oappend @t9 @t2 @t1))) @t291))) % 0.30/0.66 (assume @p185 (forall @t159 (= @t293 @t9))) % 0.30/0.66 (assume @p186 (forall (@list @t4 @t1) (= @t4 (tptp.c_List_Oappend @t37 @t4 @t1)))) % 0.30/0.66 (assume @p187 (forall @t159 (= @t9 @t293))) % 0.30/0.66 (assume @p188 (forall (@list @t1 @t8) (= @t294 @t8))) % 0.30/0.66 (assume @p189 (forall (@list @t8 @t1) (= @t8 @t294))) % 0.30/0.66 (assume @p190 (forall (@list @t164 @t52 @t220) (= (tptp.c_Lambda_Olift @t171 @t220) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t164 @t220)) @t221)))) % 0.30/0.66 (assume @p191 (forall (@list @t72 @t9 @t8 @t71 @t24 @t1) (= (tptp.c_List_Ofoldr @t72 @t237 @t24 @t71 @t1) (tptp.c_List_Ofoldr @t72 @t9 (tptp.c_List_Ofoldr @t72 @t8 @t24 @t71 @t1) @t71 @t1)))) % 0.30/0.66 (assume @p192 (forall @t284 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t186)))) % 0.30/0.66 (assume @p193 (forall (@list @t238 @t295) (not (= @t239 @t296)))) % 0.30/0.66 (assume @p194 (forall @t214 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t276)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t164))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t277)))))) % 0.30/0.66 (assume @p195 (forall (@list @t72 @t24 @t71 @t1) (= (tptp.c_List_Ofoldl @t72 @t24 @t281 @t1 @t71) @t24))) % 0.30/0.66 (assume @p196 (forall @t223 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t297)) @t112))) % 0.30/0.66 (assume @p197 (forall (@list @t119 @t216 @t41 @t211) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t186 @t216 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t210 @t211 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.30/0.66 (assume @p198 (forall @t20 (or @t209 @t299))) % 0.30/0.66 (assume @p199 (forall @t20 (or @t209 @t300))) % 0.30/0.66 (assume @p200 (forall @t20 (or @t208 @t300))) % 0.30/0.66 (assume @p201 (forall @t20 (or @t208 @t299))) % 0.30/0.66 (assume @p202 (forall (@list @t227 @t226 @t1 @t301) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t228 @t301 @t225) @t302))) % 0.30/0.66 (assume @p203 (forall (@list @t227 @t226 @t301 @t1) (= @t302 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t226 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t227 @t301 @t225) @t225)))) % 0.30/0.66 (assume @p204 (forall @t304 (or @t303 @t157))) % 0.30/0.66 (assume @p205 (forall @t304 (or @t303 @t305))) % 0.30/0.66 (assume @p206 (forall (@list @t306 @t295) (or (not (= (tptp.c_Lambda_OdB_OAbs @t306) @t296)) (= @t306 @t295)))) % 0.30/0.66 (assume @p207 (forall @t308 (or @t307 @t157))) % 0.30/0.66 (assume @p208 (forall @t308 (or @t307 @t305))) % 0.30/0.66 (assume @p209 (forall (@list @t238 @t241 @t240) (not (= @t239 @t242)))) % 0.30/0.66 (assume @p210 (forall @t270 (or @t269 (= @t266 @t164)))) % 0.30/0.66 (assume @p211 (forall @t275 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t274) @t212)) @t176))) % 0.30/0.66 (assume @p212 (tptp.hBOOL (tptp.hAPP @t309 @t280))) % 0.30/0.66 (assume @p213 (forall (@list @t4) (not @t283))) % 0.30/0.66 (assume @p214 (forall @t284 (not (tptp.c_HOL_Oord__class_Oless @t119 @t119 tptp.tc_nat)))) % 0.30/0.66 (assume @p215 (forall @t61 (or @t287 @t310))) % 0.30/0.66 (assume @p216 (forall @t61 (or @t311 @t310))) % 0.30/0.66 (assume @p217 (forall @t61 (or @t290 @t310))) % 0.30/0.66 (assume @p218 (forall @t236 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t234) (tptp.c_Lambda_Osubst @t164 @t52 @t152))))) % 0.30/0.66 (assume @p219 (forall @t312 (or @t151 @t285 @t288 @t45))) % 0.30/0.66 (assume @p220 (forall @t117 (or @t311 @t45 @t285 @t288))) % 0.30/0.66 (assume @p221 (forall (@list @t119 @t120) (or @t313 @t153 @t121))) % 0.30/0.66 (assume @p222 (forall (@list @t314 @t119 @t120) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t314 @t119) @t120)) @t313 @t121 @t153))) % 0.30/0.66 (assume @p223 (forall (@list @t190 @t247 @t193 @t177 @t216) (or (= @t190 @t247) @t249 @t251))) % 0.30/0.66 (assume @p224 (forall (@list @t13 @t4) (or (tptp.c_HOL_Oord__class_Oless @t13 @t4 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t4 @t13 tptp.tc_nat) @t45))) % 0.30/0.66 (assume @p225 (forall @t312 (or @t311 @t285 @t288 @t45))) % 0.30/0.66 (assume @p226 (forall @t312 (or @t311 @t285 @t45 @t288))) % 0.30/0.66 (assume @p227 (forall @t117 (or @t311 @t45 @t288 @t285))) % 0.30/0.66 (assume @p228 (forall @t319 (or @t318 (= @t315 @t240)))) % 0.30/0.66 (assume @p229 (forall @t319 (or @t318 (= @t316 @t241)))) % 0.30/0.66 (assume @p230 (forall (@list @t119 @t185) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t187)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t185 tptp.tc_Lambda_OdB))))) % 0.30/0.66 (assume @p231 (forall @t321 (or @t208 @t320 (not (tptp.c_HOL_Oord__class_Oless @t22 @t4 @t1))))) % 0.30/0.66 (assume @p232 (forall @t321 (or @t208 @t320 (not (tptp.c_HOL_Oord__class_Oless @t24 @t4 @t1))))) % 0.30/0.66 (assume @p233 (forall @t324 (or @t323 @t322))) % 0.30/0.66 (assume @p234 (forall @t324 (or @t323 @t215))) % 0.30/0.66 (assume @p235 (forall @t273 (or @t272 (= @t164 @t210)))) % 0.30/0.66 (assume @p236 (forall (@list @t326 @t164 @t52 @t247 @t190) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t327 @t171) @t247)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t327 @t52) @t190))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t327 @t164) @t325)))))) % 0.30/0.66 (assume @p237 (forall (@list @t177 @t52) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t222) @t52))))) % 0.30/0.66 (assume @p238 (forall @t284 (or @t263 (= @t119 @t152)))) % 0.30/0.66 (assume @p239 (not (tptp.c_HOL_Oord__class_Oless @t152 @t152 tptp.tc_nat))) % 0.30/0.66 (assume @p240 (forall @t117 (or @t209 @t328))) % 0.30/0.66 (assume @p241 (forall @t117 (or @t208 @t328))) % 0.30/0.66 (assume @p242 (forall @t278 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t227 @t228 @t225) @t228))) % 0.30/0.66 (assume @p243 (forall (@list @t329 @t80 @t177) (or (= (tptp.c_Lambda_Osubst @t331 @t80 @t177) @t331) @t330))) % 0.30/0.66 (assume @p244 (forall (@list @t41 @t177 @t329) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t41 @t222 @t329))) @t217))) % 0.30/0.66 (assume @p245 (forall @t308 (or (not (= @t10 @t9)) @t305))) % 0.30/0.66 (assume @p246 (forall @t308 (or (not (= @t9 @t10)) @t305))) % 0.30/0.66 (assume @p247 (forall @t308 (or (not (= @t10 @t8)) @t157))) % 0.30/0.66 (assume @p248 (forall (@list @t8 @t9 @t1) (or (not (= @t8 @t10)) @t157))) % 0.30/0.66 (assume @p249 (forall @t337 (or @t336 (= @t333 @t332)))) % 0.30/0.66 (assume @p250 (forall @t337 (or @t336 (= @t335 @t334)))) % 0.30/0.66 (assume @p251 (forall @t61 (or @t208 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t4 @t1) @t4)))) % 0.30/0.66 (assume @p252 (forall @t338 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t227 @t227 @t225) @t227))) % 0.30/0.66 (assume @p253 (forall (@list @t220 @t80) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t220) @t80 @t220) @t80))) % 0.30/0.66 (assume @p254 (forall @t340 (or @t339 @t322))) % 0.30/0.66 (assume @p255 (forall @t340 (or @t339 @t121))) % 0.30/0.66 (assume @p256 (forall (@list @t295 @t316 @t315) (not (= @t296 @t317)))) % 0.30/0.66 (assume @p257 (forall (@list @t238 @t341) (or (not (= @t239 (tptp.c_Lambda_OdB_OVar @t341))) (= @t238 @t341)))) % 0.30/0.66 (assume @p258 (forall (@list @t316 @t315 @t295) (not (= @t317 @t296)))) % 0.30/0.66 (assume @p259 (forall (@list @t295 @t238) (not (= @t296 @t239)))) % 0.30/0.66 (assume @p260 (forall (@list @t52 @t80 @t164 @t220) (= (tptp.c_Lambda_Osubst @t192 @t164 @t220) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t52 @t164 @t220)) (tptp.c_Lambda_Osubst @t80 @t164 @t220))))) % 0.30/0.66 (assume @p261 (forall (@list @t227 @t226 @t1 @t4) (or @t229 (not @t231) (not @t232)))) % 0.30/0.66 (assume @p262 (forall @t97 (= @t224 @t37))) % 0.30/0.66 (assume @p263 (forall @t292 (= (tptp.c_List_Oappend @t10 @t2 @t1) (tptp.c_List_Oappend @t9 (tptp.c_List_Oappend @t8 @t2 @t1) @t1)))) % 0.30/0.66 (assume @p264 (forall (@list @t9 @t36 @t100 @t1) (= (tptp.c_List_Oappend @t9 (tptp.c_List_Oappend @t36 @t100 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t9 @t36 @t1) @t100 @t1)))) % 0.30/0.66 (assume @p265 (forall (@list @t2 @t4 @t1 @t8) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t2 @t4 @t1) @t8 @t1) (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t4 @t8 @t1) @t1)))) % 0.30/0.66 (assume @p266 (forall (@list @t9 @t4 @t216 @t1) (= (tptp.c_List_Oappend @t9 (tptp.c_List_Oappend @t4 @t216 @t1) @t1) (tptp.c_List_Oappend @t98 @t216 @t1)))) % 0.30/0.66 (assume @p267 (forall @t116 (or @t287 @t130 @t342))) % 0.30/0.66 (assume @p268 (forall @t117 (or @t311 @t289 @t286))) % 0.30/0.66 (assume @p269 (forall @t312 (or @t290 @t286 @t289))) % 0.30/0.66 (assume @p270 (forall (@list @t1 @t22 @t24) (or @t290 @t342 @t130))) % 0.30/0.66 (assume @p271 (forall (@list @t193 @t177 @t247 @t52 @t190) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t193 @t177 @t247 tptp.tc_Type_Otype)) @t297) @t190)) @t199))) % 0.30/0.66 (assume @p272 (tptp.hBOOL (tptp.hAPP @t309 tptp.v_T____))) % 0.30/0.66 (assume @p273 (forall @t201 (or @t200 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t52) @t167))) @t199))) % 0.30/0.66 (assume @p274 @t345) % 0.30/0.66 (assume @p275 (forall (@list @t72 @t347 @t227 @t346 @t71 @t1) (= (tptp.c_Set_Oimage @t72 (tptp.c_Set_Oimage @t347 @t227 @t346 @t71) @t71 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t72 @t347 @t71 @t1 @t346) @t227 @t346 @t1)))) % 0.30/0.66 (assume @p276 (forall (@list @t193 @t177 @t190 @t1 @t329) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t193 @t177 @t190 @t1) @t329) (tptp.hAPP @t193 @t329)) @t330))) % 0.30/0.66 (assume @p277 (forall (@list @t227 @t9 @t8 @t1) (or @t350 (not @t349) (not @t348)))) % 0.30/0.66 (assume @p278 (forall (@list @t227 @t9 @t1) (or @t348 (not (tptp.hBOOL (tptp.hAPP @t227 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t227 @t9 @t1))))))) % 0.30/0.66 (assume @p279 (forall (@list @t227 @t226 @t1 @t351) (or (tptp.c_List_Olistsp @t228 @t351 @t1) (not (tptp.c_List_Olistsp @t226 @t351 @t1)) (not (tptp.c_List_Olistsp @t227 @t351 @t1))))) % 0.30/0.66 (assume @p280 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t353 tptp.v_a____) tptp.v_T_H_H____))) % 0.30/0.66 (assume @p281 (forall @t361 (or @t360 @t358 (not (tptp.hBOOL (tptp.hAPP @t197 @t355))) @t356 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t193 @t177 @t355 tptp.tc_Type_Otype)) @t52) @t354))) @t112))) % 0.30/0.66 (assume @p282 (forall @t361 (or @t360 @t358 (not (tptp.hBOOL (tptp.hAPP @t197 @t359))) @t356 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t193 @t177 @t359 tptp.tc_Type_Otype)) @t52) @t354))) @t112))) % 0.30/0.66 (assume @p283 (forall (@list @t193 @t4 @t190 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t193 @t4 @t190 @t1) @t4) @t190))) % 0.30/0.66 (assume @p284 (forall (@list @t326 @t52 @t190 @t247) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t327 @t235) @t325)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t326 @t152 @t190 tptp.tc_Type_Otype)) @t52) @t247)))))) % 0.30/0.66 (assume @p285 (= tptp.v_n____ tptp.v_i____)) % 0.30/0.66 (assume @p286 (forall (@list @t193 @t177 @t190) (or (= (tptp.hAPP @t193 @t177) @t190) (not (tptp.hBOOL (tptp.hAPP @t253 @t190)))))) % 0.30/0.66 (assume @p287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t353 @t254) @t280))) % 0.30/0.66 (assume @p288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t353 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t254) tptp.v_a____)) @t279))) % 0.30/0.66 (assume @p289 @t362) % 0.30/0.66 (assume @p290 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping tptp.v_ea______) tptp.v_ua______) tptp.v_T____))) % 0.30/0.66 (assume @p291 (forall @t338 (tptp.c_List_Olistsp @t227 @t37 @t1))) % 0.30/0.66 (assume @p292 (forall (@list @t227 @t8 @t1 @t9) (or @t349 @t363))) % 0.30/0.66 (assume @p293 (forall (@list @t227 @t9 @t1 @t8) (or @t348 @t363))) % 0.30/0.66 (assume @p294 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t353 @t255) tptp.v_T_H____))) % 0.30/0.66 (assume @p295 (forall (@list @t314 @t365 @t71 @t1 @t346 @t364) (= (tptp.hAPP (tptp.c_COMBB @t314 @t365 @t71 @t1 @t346) @t364) (tptp.hAPP @t314 (tptp.hAPP @t365 @t364))))) % 0.30/0.66 (assume @p296 (forall (@list @t326 @t4) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t327 @t282) (tptp.hAPP @t326 @t4))))) % 0.30/0.66 (assume @p297 (forall (@list @t366 @t80 @t247 @t177 @t52 @t190) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t80) @t247))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t366 @t177 @t247 tptp.tc_Type_Otype)) @t52) @t190))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t357) @t190))))) % 0.30/0.66 (assume @p298 (not @t368)) % 0.30/0.66 (assume @p299 (forall @t373 (or (tptp.class_Lattices_Olower__semilattice @t372) @t370))) % 0.30/0.66 (assume @p300 (forall @t373 (or (tptp.class_Orderings_Opreorder @t372) (not (tptp.class_Orderings_Opreorder @t369))))) % 0.30/0.66 (assume @p301 (forall @t373 (or (tptp.class_Lattices_Olattice @t372) @t370))) % 0.30/0.66 (assume @p302 (forall @t373 (or (tptp.class_Orderings_Oorder @t372) (not (tptp.class_Orderings_Oorder @t369))))) % 0.30/0.66 (assume @p303 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.30/0.66 (assume @p304 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.30/0.66 (assume @p305 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.30/0.66 (assume @p306 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.30/0.66 (assume @p307 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.30/0.66 (assume @p308 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.30/0.66 (assume @p309 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.30/0.66 (assume @p310 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.30/0.66 (assume @p311 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.30/0.66 (assume @p312 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.30/0.66 (assume @p313 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.30/0.66 (assume @p314 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.30/0.66 (assume @p315 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.30/0.66 (assume @p316 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.30/0.66 (assume @p317 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.30/0.66 (assume @p318 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.30/0.66 (assume @p319 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.30/0.66 (assume @p320 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.30/0.66 (assume @p321 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.30/0.66 (assume @p322 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.30/0.66 (assume @p323 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.30/0.66 (assume @p324 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.30/0.66 (assume @p325 (forall (@list @t314 @t365 @t364 @t71 @t346 @t1) (= (tptp.c_COMBC @t314 @t365 @t364 @t71 @t346 @t1) (tptp.hAPP (tptp.hAPP @t314 @t364) @t365)))) % 0.30/0.66 (assume @p326 (forall @t61 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 @t4) @t4)))) % 0.30/0.66 (assume @p327 (forall (@list @t375 @t374 @t1) (or (= @t375 @t374) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 @t375) @t374)))))) % 0.30/0.66 (step @p328 :rule cnf_or_pos :args (@t377)) % 0.30/0.66 (step @p329 :rule reordering :premises (@p328) :args ((or @t368 @t376 @t378))) % 0.30/0.66 (step @p330 :rule chain_m_resolution :premises (@p329 @p298 @p289) :args (@t378 @t379 (@list @t368 @t362))) % 0.30/0.66 (assume-push @p337 @t345) % 0.30/0.66 (step @p332 :rule instantiate :premises (@p274) :args ((@list @t352 tptp.v_as____ tptp.v_Ts____))) % 0.30/0.66 (step-pop @p338 :rule scope :premises (@p332)) % 0.30/0.66 (step @p333 :rule process_scope :premises (@p338) :args (@t377)) % 0.30/0.66 (step @p335 :rule implies_elim :premises (@p333)) % 0.30/0.66 (step @p336 false :rule chain_m_resolution :premises (@p335 @p330 @p274) :args (false @t379 (@list @t377 @t345))) % 0.30/0.66 ) % 0.30/0.66 % SZS output end Proof % 0.30/0.66 % cvc5 exiting %------------------------------------------------------------------------------