%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL760-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 11:23:47 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.77s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL760-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % 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 % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 20:05:15 UTC 2026 % 0.10/0.37 % CPUTime : % 0.21/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.77 % SZS status Unsatisfiable % 0.31/0.77 % SZS output start Proof % 0.31/0.78 ( % 0.31/0.78 (declare-sort $$unsorted 0) % 0.31/0.78 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.v_ja $$unsorted) % 0.31/0.78 (declare-const tptp.v_ra $$unsorted) % 0.31/0.78 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.v_ss $$unsorted) % 0.31/0.78 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.t_a $$unsorted) % 0.31/0.78 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.v_s $$unsorted) % 0.31/0.78 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.31/0.78 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.31/0.78 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.31/0.78 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.tc_nat $$unsorted) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.v_ia $$unsorted) % 0.31/0.78 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.v_sko__List__Xlexn__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.31/0.78 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.78 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.31/0.78 (define @t1 () (@var "V_n" $$unsorted)) % 0.31/0.78 (define @t2 () (@var "V_m" $$unsorted)) % 0.31/0.78 (define @t3 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t4 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.31/0.78 (define @t5 () (tptp.c_HOL_Oord__class_Oless @t4 @t3 tptp.tc_nat)) % 0.31/0.78 (define @t6 () (not @t5)) % 0.31/0.78 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t4 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t8 () (@list @t1 @t2)) % 0.31/0.78 (define @t9 () (tptp.c_HOL_Oord__class_Oless @t4 @t2 tptp.tc_nat)) % 0.31/0.78 (define @t10 () (@list @t2 @t1)) % 0.31/0.78 (define @t11 () (@var "T_a" $$unsorted)) % 0.31/0.78 (define @t12 () (tptp.c_HOL_Ozero__class_Ozero @t11)) % 0.31/0.78 (define @t13 () (@var "V_a" $$unsorted)) % 0.31/0.78 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t13 @t12 @t11)) % 0.31/0.78 (define @t15 () (not @t14)) % 0.31/0.78 (define @t16 () (@var "V_b" $$unsorted)) % 0.31/0.78 (define @t17 () (not (tptp.c_HOL_Oord__class_Oless @t16 @t12 @t11))) % 0.31/0.78 (define @t18 () (tptp.c_HOL_Oplus__class_Oplus @t11)) % 0.31/0.78 (define @t19 () (tptp.hAPP @t18 @t13)) % 0.31/0.78 (define @t20 () (tptp.hAPP @t19 @t16)) % 0.31/0.78 (define @t21 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t11))) % 0.31/0.78 (define @t22 () (@list @t11 @t13 @t16)) % 0.31/0.78 (define @t23 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t16 @t11)) % 0.31/0.78 (define @t24 () (not @t23)) % 0.31/0.78 (define @t25 () (= (tptp.c_Divides_Odiv__class_Omod @t16 @t13 @t11) @t12)) % 0.31/0.78 (define @t26 () (not (tptp.class_Divides_Osemiring__div @t11))) % 0.31/0.78 (define @t27 () (@list @t11 @t16 @t13)) % 0.31/0.78 (define @t28 () (@var "V_c" $$unsorted)) % 0.31/0.78 (define @t29 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t28 @t11)) % 0.31/0.78 (define @t30 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t13 @t11)) % 0.31/0.78 (define @t31 () (@list @t11 @t16 @t13 @t28)) % 0.31/0.78 (define @t32 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t11))) % 0.31/0.78 (define @t33 () (@list @t11 @t13)) % 0.31/0.78 (define @t34 () (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t35 () (not @t34)) % 0.31/0.78 (define @t36 () (@var "V_k" $$unsorted)) % 0.31/0.78 (define @t37 () (tptp.c_Suc @t36)) % 0.31/0.78 (define @t38 () (tptp.c_HOL_Otimes__class_Otimes @t37 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t39 () (tptp.c_HOL_Otimes__class_Otimes @t37 @t2 tptp.tc_nat)) % 0.31/0.78 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t39 @t38 tptp.tc_nat)) % 0.31/0.78 (define @t41 () (@list @t36 @t2 @t1)) % 0.31/0.78 (define @t42 () (@list @t2 @t1 @t36)) % 0.31/0.78 (define @t43 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.31/0.78 (define @t44 () (@var "V_j" $$unsorted)) % 0.31/0.78 (define @t45 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.31/0.78 (define @t46 () (tptp.hAPP @t45 @t44)) % 0.31/0.78 (define @t47 () (tptp.hAPP @t46 @t43)) % 0.31/0.78 (define @t48 () (@var "V_i" $$unsorted)) % 0.31/0.78 (define @t49 () (not (tptp.c_HOL_Oord__class_Oless @t48 @t47 tptp.tc_nat))) % 0.31/0.78 (define @t50 () (@var "V_s" $$unsorted)) % 0.31/0.78 (define @t51 () (tptp.hAPP tptp.c_Lambda_Olift @t50)) % 0.31/0.78 (define @t52 () (tptp.hAPP @t51 @t48)) % 0.31/0.78 (define @t53 () (@var "V_t" $$unsorted)) % 0.31/0.78 (define @t54 () (tptp.hAPP tptp.c_Lambda_Olift @t53)) % 0.31/0.78 (define @t55 () (tptp.hAPP @t54 @t48)) % 0.31/0.78 (define @t56 () (tptp.hAPP tptp.c_Lambda_Osubst @t53)) % 0.31/0.78 (define @t57 () (tptp.hAPP @t56 @t50)) % 0.31/0.78 (define @t58 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t57 @t44)) @t48)) % 0.31/0.78 (define @t59 () (@list @t53 @t50 @t44 @t48)) % 0.31/0.78 (define @t60 () (@var "V_e" $$unsorted)) % 0.31/0.78 (define @t61 () (@var "V_u" $$unsorted)) % 0.31/0.78 (define @t62 () (tptp.hAPP @t45 @t48)) % 0.31/0.78 (define @t63 () (tptp.hAPP @t62 @t44)) % 0.31/0.78 (define @t64 () (tptp.c_HOL_Oone__class_Oone @t11)) % 0.31/0.78 (define @t65 () (not (tptp.c_HOL_Oord__class_Oless @t64 @t13 @t11))) % 0.31/0.78 (define @t66 () (not @t7)) % 0.31/0.78 (define @t67 () (tptp.c_Power_Opower__class_Opower @t13 @t1 @t11)) % 0.31/0.78 (define @t68 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t11))) % 0.31/0.78 (define @t69 () (@list @t11 @t13 @t1)) % 0.31/0.78 (define @t70 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t11)) % 0.31/0.78 (define @t71 () (tptp.hAPP @t18 @t64)) % 0.31/0.78 (define @t72 () (tptp.c_Suc @t2)) % 0.31/0.78 (define @t73 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t11))) % 0.31/0.78 (define @t74 () (@list @t11 @t2)) % 0.31/0.78 (define @t75 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t76 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t2 tptp.tc_nat)) % 0.31/0.78 (define @t77 () (tptp.c_HOL_Oord__class_Oless @t76 @t75 tptp.tc_nat)) % 0.31/0.78 (define @t78 () (not @t77)) % 0.31/0.78 (define @t79 () (tptp.c_HOL_Oord__class_Oless @t4 @t36 tptp.tc_nat)) % 0.31/0.78 (define @t80 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t36 tptp.tc_nat)) % 0.31/0.78 (define @t81 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t36 tptp.tc_nat)) % 0.31/0.78 (define @t82 () (tptp.c_HOL_Oord__class_Oless @t81 @t80 tptp.tc_nat)) % 0.31/0.78 (define @t83 () (not @t82)) % 0.31/0.78 (define @t84 () (= @t2 @t1)) % 0.31/0.78 (define @t85 () (not @t79)) % 0.31/0.78 (define @t86 () (not (= @t76 @t75))) % 0.31/0.78 (define @t87 () (@list @t11)) % 0.31/0.78 (define @t88 () (= @t2 @t43)) % 0.31/0.78 (define @t89 () (not (= @t3 @t43))) % 0.31/0.78 (define @t90 () (= @t1 @t43)) % 0.31/0.78 (define @t91 () (tptp.c_Divides_Odiv__class_Omod @t16 @t28 @t11)) % 0.31/0.78 (define @t92 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t19 @t91) @t28 @t11)) % 0.31/0.78 (define @t93 () (tptp.c_Divides_Odiv__class_Omod @t20 @t28 @t11)) % 0.31/0.78 (define @t94 () (@list @t11 @t13 @t16 @t28)) % 0.31/0.78 (define @t95 () (tptp.c_Divides_Odiv__class_Omod @t13 @t28 @t11)) % 0.31/0.78 (define @t96 () (tptp.hAPP @t18 @t95)) % 0.31/0.78 (define @t97 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t96 @t16) @t28 @t11)) % 0.31/0.78 (define @t98 () (@var "V_y" $$unsorted)) % 0.31/0.78 (define @t99 () (@var "V_x" $$unsorted)) % 0.31/0.78 (define @t100 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t99 @t98 tptp.tc_nat))) % 0.31/0.78 (define @t101 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t98 @t99 tptp.tc_nat)) % 0.31/0.78 (define @t102 () (@var "V_z" $$unsorted)) % 0.31/0.78 (define @t103 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t98 @t102 tptp.tc_nat))) % 0.31/0.78 (define @t104 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t98 tptp.tc_nat)) % 0.31/0.78 (define @t105 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t99 tptp.tc_nat))) % 0.31/0.78 (define @t106 () (@list @t102 @t99 @t98)) % 0.31/0.78 (define @t107 () (tptp.c_Divides_Odiv__class_Omod @t2 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t108 () (tptp.c_Power_Opower__class_Opower @t64 @t1 @t11)) % 0.31/0.78 (define @t109 () (not (tptp.class_OrderedGroup_Omonoid__mult @t11))) % 0.31/0.78 (define @t110 () (@list @t11 @t1)) % 0.31/0.78 (define @t111 () (tptp.c_HOL_Oord__class_Oless @t48 @t36 tptp.tc_nat)) % 0.31/0.78 (define @t112 () (tptp.hAPP @t62 @t43)) % 0.31/0.78 (define @t113 () (tptp.c_Lambda_OdB_OVar @t48)) % 0.31/0.78 (define @t114 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t113) @t36)) % 0.31/0.78 (define @t115 () (@list @t48 @t36)) % 0.31/0.78 (define @t116 () (tptp.hAPP @t18 @t99)) % 0.31/0.78 (define @t117 () (tptp.hAPP @t116 @t102)) % 0.31/0.78 (define @t118 () (tptp.hAPP @t18 @t98)) % 0.31/0.78 (define @t119 () (tptp.hAPP @t118 @t102)) % 0.31/0.78 (define @t120 () (tptp.hAPP @t116 @t119)) % 0.31/0.78 (define @t121 () (not (tptp.class_OrderedGroup_Oab__group__add @t11))) % 0.31/0.78 (define @t122 () (tptp.c_Power_Opower__class_Opower @t13 @t2 @t11)) % 0.31/0.78 (define @t123 () (tptp.hAPP @t45 @t2)) % 0.31/0.78 (define @t124 () (tptp.hAPP @t123 @t1)) % 0.31/0.78 (define @t125 () (@list @t11 @t13 @t2 @t1)) % 0.31/0.78 (define @t126 () (tptp.c_HOL_Oord__class_Oless @t4 @t124 tptp.tc_nat)) % 0.31/0.78 (define @t127 () (tptp.hAPP @t18 @t16)) % 0.31/0.78 (define @t128 () (tptp.hAPP @t127 @t28)) % 0.31/0.78 (define @t129 () (tptp.hAPP @t19 @t128)) % 0.31/0.78 (define @t130 () (tptp.hAPP @t18 @t20)) % 0.31/0.78 (define @t131 () (tptp.hAPP @t130 @t28)) % 0.31/0.78 (define @t132 () (= @t131 @t129)) % 0.31/0.78 (define @t133 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t11))) % 0.31/0.78 (define @t134 () (@var "V_d" $$unsorted)) % 0.31/0.78 (define @t135 () (tptp.hAPP @t18 @t28)) % 0.31/0.78 (define @t136 () (tptp.hAPP @t135 @t134)) % 0.31/0.78 (define @t137 () (tptp.hAPP @t19 @t136)) % 0.31/0.78 (define @t138 () (@list @t11 @t13 @t28 @t134)) % 0.31/0.78 (define @t139 () (tptp.hAPP @t19 @t28)) % 0.31/0.78 (define @t140 () (tptp.hAPP @t18 @t139)) % 0.31/0.78 (define @t141 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t11))) % 0.31/0.78 (define @t142 () (tptp.hAPP @t45 @t1)) % 0.31/0.78 (define @t143 () (tptp.hAPP @t142 @t36)) % 0.31/0.78 (define @t144 () (tptp.hAPP @t45 @t99)) % 0.31/0.78 (define @t145 () (tptp.hAPP @t144 @t102)) % 0.31/0.78 (define @t146 () (tptp.hAPP @t45 @t98)) % 0.31/0.78 (define @t147 () (tptp.hAPP @t146 @t102)) % 0.31/0.78 (define @t148 () (@list @t99 @t98 @t102)) % 0.31/0.78 (define @t149 () (@list @t11 @t99 @t98 @t102)) % 0.31/0.78 (define @t150 () (tptp.hAPP @t116 @t98)) % 0.31/0.78 (define @t151 () (tptp.c_HOL_Oord__class_Oless @t98 @t99 @t11)) % 0.31/0.78 (define @t152 () (not @t151)) % 0.31/0.78 (define @t153 () (not (tptp.class_Orderings_Oorder @t11))) % 0.31/0.78 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t99 @t98 @t11)) % 0.31/0.78 (define @t155 () (not @t154)) % 0.31/0.78 (define @t156 () (not (tptp.class_Orderings_Opreorder @t11))) % 0.31/0.78 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t12 @t13 @t11)) % 0.31/0.78 (define @t158 () (not @t157)) % 0.31/0.78 (define @t159 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t64 @t11))) % 0.31/0.78 (define @t160 () (tptp.c_Suc @t1)) % 0.31/0.78 (define @t161 () (tptp.c_Power_Opower__class_Opower @t13 @t160 @t11)) % 0.31/0.78 (define @t162 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t13 @t11)) % 0.31/0.78 (define @t163 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t16 @t11)) % 0.31/0.78 (define @t164 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t2 tptp.tc_nat)) % 0.31/0.78 (define @t165 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t98 @t11)) % 0.31/0.78 (define @t166 () (@list @t11 @t99 @t98)) % 0.31/0.78 (define @t167 () (@var "V_q" $$unsorted)) % 0.31/0.78 (define @t168 () (tptp.c_Power_Opower__class_Opower @t99 @t167 @t11)) % 0.31/0.78 (define @t169 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t168 @t11)) % 0.31/0.78 (define @t170 () (tptp.c_Power_Opower__class_Opower @t99 (tptp.c_Suc @t167) @t11)) % 0.31/0.78 (define @t171 () (@list @t11 @t99 @t167)) % 0.31/0.78 (define @t172 () (tptp.c_Power_Opower__class_Opower @t99 @t1 @t11)) % 0.31/0.78 (define @t173 () (@list @t11 @t99 @t1)) % 0.31/0.78 (define @t174 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t67 @t11)) % 0.31/0.78 (define @t175 () (not (tptp.class_Power_Opower @t11))) % 0.31/0.78 (define @t176 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t13 @t11)) % 0.31/0.78 (define @t177 () (@var "V_p" $$unsorted)) % 0.31/0.78 (define @t178 () (tptp.c_Power_Opower__class_Opower @t99 @t177 @t11)) % 0.31/0.78 (define @t179 () (@list @t11 @t99 @t177 @t167)) % 0.31/0.78 (define @t180 () (not @t9)) % 0.31/0.78 (define @t181 () (@list @t2)) % 0.31/0.78 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t102 @t11)) % 0.31/0.78 (define @t183 () (tptp.hAPP (tptp.hAPP @t18 @t165) @t182)) % 0.31/0.78 (define @t184 () (not (tptp.class_Int_Onumber__ring @t11))) % 0.31/0.78 (define @t185 () (not (tptp.class_Ring__and__Field_Oidom @t11))) % 0.31/0.78 (define @t186 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t28 @t11)) % 0.31/0.78 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t134 @t11)) % 0.31/0.78 (define @t188 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t28 tptp.tc_nat)) % 0.31/0.78 (define @t189 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t134 tptp.tc_nat)) % 0.31/0.78 (define @t190 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t98 tptp.tc_nat)) % 0.31/0.78 (define @t191 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t102 tptp.tc_nat)) % 0.31/0.78 (define @t192 () (@var "V_dB" $$unsorted)) % 0.31/0.78 (define @t193 () (@var "V_f3" $$unsorted)) % 0.31/0.78 (define @t194 () (tptp.hAPP @t193 @t192)) % 0.31/0.78 (define @t195 () (tptp.c_Lambda_OdB_OAbs @t192)) % 0.31/0.78 (define @t196 () (@var "V_f2" $$unsorted)) % 0.31/0.78 (define @t197 () (@var "V_f1" $$unsorted)) % 0.31/0.78 (define @t198 () (@list @t1)) % 0.31/0.78 (define @t199 () (tptp.c_Divides_Odiv__class_Omod @t13 @t16 @t11)) % 0.31/0.78 (define @t200 () (@list @t11 @t2 @t1)) % 0.31/0.78 (define @t201 () (= @t13 @t12)) % 0.31/0.78 (define @t202 () (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t13 @t11) @t13)) % 0.31/0.78 (define @t203 () (= (tptp.c_HOL_Otimes__class_Otimes @t13 @t64 @t11) @t13)) % 0.31/0.78 (define @t204 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t11))) % 0.31/0.78 (define @t205 () (@list @t11 @t99)) % 0.31/0.78 (define @t206 () (tptp.c_List_Olist_ONil @t11)) % 0.31/0.78 (define @t207 () (@var "V_A" $$unsorted)) % 0.31/0.78 (define @t208 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t28 @t11)) % 0.31/0.78 (define @t209 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t208 @t29 @t11)) % 0.31/0.78 (define @t210 () (@list @t11 @t13 @t28 @t16)) % 0.31/0.78 (define @t211 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t16 @t11)) % 0.31/0.78 (define @t212 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t13 @t11)) % 0.31/0.78 (define @t213 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t212 @t211 @t11)) % 0.31/0.78 (define @t214 () (@list @t11 @t28 @t13 @t16)) % 0.31/0.78 (define @t215 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t216 () (not @t215)) % 0.31/0.78 (define @t217 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t76 @t75 tptp.tc_nat)) % 0.31/0.78 (define @t218 () (tptp.c_Divides_Odiv__class_Omod @t163 @t28 @t11)) % 0.31/0.78 (define @t219 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t95 @t16 @t11) @t28 @t11)) % 0.31/0.78 (define @t220 () (tptp.c_Divides_Odiv__class_Odiv @t13 @t16 @t11)) % 0.31/0.78 (define @t221 () (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t16 @t220 @t11)) @t199)) % 0.31/0.78 (define @t222 () (tptp.c_HOL_Otimes__class_Otimes @t220 @t16 @t11)) % 0.31/0.78 (define @t223 () (tptp.hAPP (tptp.hAPP @t18 @t222) @t199)) % 0.31/0.78 (define @t224 () (@list @t48 @t2)) % 0.31/0.78 (define @t225 () (@var "V_N" $$unsorted)) % 0.31/0.78 (define @t226 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t225 tptp.tc_nat))) % 0.31/0.78 (define @t227 () (tptp.c_Power_Opower__class_Opower @t13 @t225 @t11)) % 0.31/0.78 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t99 @t98 tptp.tc_nat)) % 0.31/0.78 (define @t229 () (not @t228)) % 0.31/0.78 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t99 @t147 tptp.tc_nat)) % 0.31/0.78 (define @t231 () (@list @t48 @t36 @t44)) % 0.31/0.78 (define @t232 () (not (tptp.c_HOL_Oord__class_Oless @t48 @t44 tptp.tc_nat))) % 0.31/0.78 (define @t233 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t36 (tptp.c_Divides_Odiv__class_Omod @t2 @t1 @t11) @t11)) % 0.31/0.78 (define @t234 () (not @t233)) % 0.31/0.78 (define @t235 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t36 @t1 @t11))) % 0.31/0.78 (define @t236 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t36 @t2 @t11)) % 0.31/0.78 (define @t237 () (@list @t11 @t36 @t2 @t1)) % 0.31/0.78 (define @t238 () (not @t236)) % 0.31/0.78 (define @t239 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t43 tptp.tc_nat)) % 0.31/0.78 (define @t240 () (tptp.hAPP @t45 @t36)) % 0.31/0.78 (define @t241 () (tptp.hAPP @t240 @t43)) % 0.31/0.78 (define @t242 () (tptp.c_Lambda_OdB_OAbs @t53)) % 0.31/0.78 (define @t243 () (@list @t53 @t50 @t36)) % 0.31/0.78 (define @t244 () (tptp.hAPP @t135 @t13)) % 0.31/0.78 (define @t245 () (tptp.hAPP @t127 @t13)) % 0.31/0.78 (define @t246 () (@var "V_l" $$unsorted)) % 0.31/0.78 (define @t247 () (not (tptp.c_HOL_Oord__class_Oless @t36 @t246 tptp.tc_nat))) % 0.31/0.78 (define @t248 () (tptp.hAPP @t240 @t1)) % 0.31/0.78 (define @t249 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t11)) % 0.31/0.78 (define @t250 () (= @t98 @t102)) % 0.31/0.78 (define @t251 () (@list @t2 @t36 @t1)) % 0.31/0.78 (define @t252 () (tptp.hAPP @t240 @t2)) % 0.31/0.78 (define @t253 () (= @t16 @t28)) % 0.31/0.78 (define @t254 () (not (= @t20 @t139))) % 0.31/0.78 (define @t255 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t11))) % 0.31/0.78 (define @t256 () (tptp.c_Power_Opower__class_Opower @t98 @t1 @t11)) % 0.31/0.78 (define @t257 () (@var "V_v" $$unsorted)) % 0.31/0.78 (define @t258 () (tptp.hAPP (tptp.hAPP @t56 @t61) @t48)) % 0.31/0.78 (define @t259 () (tptp.hAPP tptp.c_Lambda_Osubst @t61)) % 0.31/0.78 (define @t260 () (tptp.c_Suc @t44)) % 0.31/0.78 (define @t261 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t28 @t11)) % 0.31/0.78 (define @t262 () (not @t261)) % 0.31/0.78 (define @t263 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t30 (tptp.c_Divides_Odiv__class_Odiv @t28 @t13 @t11) @t11)) % 0.31/0.78 (define @t264 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 @t28 @t11)) % 0.31/0.78 (define @t265 () (@list @t11 @t16 @t28 @t13)) % 0.31/0.78 (define @t266 () (not @t264)) % 0.31/0.78 (define @t267 () (tptp.c_Divides_Odiv__class_Odiv @t2 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t268 () (= @t267 @t4)) % 0.31/0.78 (define @t269 () (= @t99 @t12)) % 0.31/0.78 (define @t270 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t99 @t11)) % 0.31/0.78 (define @t271 () (tptp.hAPP (tptp.hAPP @t18 @t270) (tptp.c_HOL_Otimes__class_Otimes @t98 @t98 @t11))) % 0.31/0.78 (define @t272 () (tptp.c_HOL_Oord__class_Oless @t12 @t271 @t11)) % 0.31/0.78 (define @t273 () (= @t98 @t12)) % 0.31/0.78 (define @t274 () (tptp.hAPP @t127 @t134)) % 0.31/0.78 (define @t275 () (tptp.c_Suc @t4)) % 0.31/0.78 (define @t276 () (@list @t192)) % 0.31/0.78 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t212 @t211 @t11)) % 0.31/0.78 (define @t278 () (not @t277)) % 0.31/0.78 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t12 @t28 @t11)) % 0.31/0.78 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t28 @t12 @t11)) % 0.31/0.78 (define @t281 () (tptp.c_HOL_Oord__class_Oless @t13 @t16 @t11)) % 0.31/0.78 (define @t282 () (tptp.c_HOL_Oord__class_Oless @t16 @t13 @t11)) % 0.31/0.78 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t208 @t29 @t11)) % 0.31/0.78 (define @t284 () (not @t283)) % 0.31/0.78 (define @t285 () (@var "V_r" $$unsorted)) % 0.31/0.78 (define @t286 () (not (tptp.c_Lambda_Obeta @t285 @t50))) % 0.31/0.78 (define @t287 () (tptp.hAPP @t54 @t36)) % 0.31/0.78 (define @t288 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t48 tptp.tc_nat)) % 0.31/0.78 (define @t289 () (not @t280)) % 0.31/0.78 (define @t290 () (not @t282)) % 0.31/0.78 (define @t291 () (not @t279)) % 0.31/0.78 (define @t292 () (not @t281)) % 0.31/0.78 (define @t293 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t11))) % 0.31/0.78 (define @t294 () (tptp.c_Divides_Odiv__class_Omod @t16 @t28 tptp.tc_nat)) % 0.31/0.78 (define @t295 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t28 tptp.tc_nat)) % 0.31/0.78 (define @t296 () (@list @t13 @t16 @t28)) % 0.31/0.78 (define @t297 () (= @t28 @t12)) % 0.31/0.78 (define @t298 () (= @t36 @t4)) % 0.31/0.78 (define @t299 () (= (tptp.c_Divides_Odiv__class_Odiv @t76 @t75 tptp.tc_nat) @t267)) % 0.31/0.78 (define @t300 () (@var "V_T" $$unsorted)) % 0.31/0.78 (define @t301 () (@var "V_e_H" $$unsorted)) % 0.31/0.78 (define @t302 () (@var "V_U" $$unsorted)) % 0.31/0.78 (define @t303 () (tptp.hAPP @t71 @t64)) % 0.31/0.78 (define @t304 () (tptp.hAPP (tptp.hAPP @t45 @t75) @t2)) % 0.31/0.78 (define @t305 () (@list @t36 @t1 @t2)) % 0.31/0.78 (define @t306 () (tptp.hAPP @t19 @t211)) % 0.31/0.78 (define @t307 () (tptp.hAPP @t19 @t29)) % 0.31/0.78 (define @t308 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t2 @t11)) % 0.31/0.78 (define @t309 () (tptp.hAPP @t18 @t308)) % 0.31/0.78 (define @t310 () (not @t217)) % 0.31/0.78 (define @t311 () (= @t16 @t12)) % 0.31/0.78 (define @t312 () (tptp.hAPP (tptp.hAPP @t18 @t220) @t64)) % 0.31/0.78 (define @t313 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t12 @t11)) % 0.31/0.78 (define @t314 () (tptp.hAPP (tptp.hAPP @t18 @t313) @t313)) % 0.31/0.78 (define @t315 () (tptp.c_Power_Opower__class_Opower @t99 @t4 tptp.tc_nat)) % 0.31/0.78 (define @t316 () (@list @t99)) % 0.31/0.78 (define @t317 () (not (tptp.c_Lambda_Obeta @t50 @t53))) % 0.31/0.78 (define @t318 () (tptp.c_Lambda_OdB_OAbs @t50)) % 0.31/0.78 (define @t319 () (@list @t50 @t53)) % 0.31/0.78 (define @t320 () (@var "V_P" $$unsorted)) % 0.31/0.78 (define @t321 () (tptp.hAPP (tptp.hAPP @t45 @t288) @t44)) % 0.31/0.78 (define @t322 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t36 tptp.tc_nat))) % 0.31/0.78 (define @t323 () (@list @t44 @t36 @t320 @t48)) % 0.31/0.78 (define @t324 () (tptp.hAPP @t19 @t13)) % 0.31/0.78 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t12 @t324 @t11)) % 0.31/0.78 (define @t326 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t11))) % 0.31/0.78 (define @t327 () (not (= @t67 @t12))) % 0.31/0.78 (define @t328 () (not (tptp.class_Ring__and__Field_Omult__zero @t11))) % 0.31/0.78 (define @t329 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t11))) % 0.31/0.78 (define @t330 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t11))) % 0.31/0.78 (define @t331 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t13 @t11)) % 0.31/0.78 (define @t332 () (= @t331 @t12)) % 0.31/0.78 (define @t333 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t12 @t11)) % 0.31/0.78 (define @t334 () (= @t333 @t12)) % 0.31/0.78 (define @t335 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t16 @t11)) % 0.31/0.78 (define @t336 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t11))) % 0.31/0.78 (define @t337 () (not (= @t163 @t12))) % 0.31/0.78 (define @t338 () (tptp.hAPP @t135 @t220)) % 0.31/0.78 (define @t339 () (tptp.hAPP @t18 @t2)) % 0.31/0.78 (define @t340 () (@var "V_b_H" $$unsorted)) % 0.31/0.78 (define @t341 () (@var "V_a_H" $$unsorted)) % 0.31/0.78 (define @t342 () (not (= @t95 (tptp.c_Divides_Odiv__class_Omod @t341 @t28 @t11)))) % 0.31/0.78 (define @t343 () (not (= @t91 (tptp.c_Divides_Odiv__class_Omod @t340 @t28 @t11)))) % 0.31/0.78 (define @t344 () (@list @t11 @t16 @t28 @t340 @t13 @t341)) % 0.31/0.78 (define @t345 () (tptp.c_HOL_Oord__class_Oless @t324 @t12 @t11)) % 0.31/0.78 (define @t346 () (not @t345)) % 0.31/0.78 (define @t347 () (not (tptp.class_Ring__and__Field_Oordered__idom @t11))) % 0.31/0.78 (define @t348 () (tptp.c_HOL_Oord__class_Oless @t12 @t16 @t11)) % 0.31/0.78 (define @t349 () (tptp.c_HOL_Oord__class_Oless @t12 @t163 @t11)) % 0.31/0.78 (define @t350 () (not @t348)) % 0.31/0.78 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t4 @t99 tptp.tc_nat)) % 0.31/0.78 (define @t352 () (tptp.c_HOL_Oord__class_Oless @t4 (tptp.c_Power_Opower__class_Opower @t99 @t1 tptp.tc_nat) tptp.tc_nat)) % 0.31/0.78 (define @t353 () (@list @t99 @t1)) % 0.31/0.78 (define @t354 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t98 @t99 @t11))) % 0.31/0.78 (define @t355 () (tptp.c_Divides_Odiv__class_Odiv @t99 @t98 @t11)) % 0.31/0.78 (define @t356 () (tptp.c_HOL_Oord__class_Oless @t36 @t48 tptp.tc_nat)) % 0.31/0.78 (define @t357 () (= @t48 @t36)) % 0.31/0.78 (define @t358 () (@list @t48 @t50 @t36)) % 0.31/0.78 (define @t359 () (@var "V_dB_H" $$unsorted)) % 0.31/0.78 (define @t360 () (tptp.c_Lambda_OdB_OAbs @t359)) % 0.31/0.78 (define @t361 () (tptp.c_Divides_Odiv__class_Omod @t72 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t362 () (@var "V_w" $$unsorted)) % 0.31/0.78 (define @t363 () (= @t362 @t99)) % 0.31/0.78 (define @t364 () (= @t13 @t16)) % 0.31/0.78 (define @t365 () (= @t28 @t134)) % 0.31/0.78 (define @t366 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t134 @t11)) % 0.31/0.78 (define @t367 () (tptp.hAPP @t18 @t208)) % 0.31/0.78 (define @t368 () (@list @t11 @t13 @t28 @t16 @t134)) % 0.31/0.78 (define @t369 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t28 tptp.tc_nat)) % 0.31/0.78 (define @t370 () (= @t2 @t4)) % 0.31/0.78 (define @t371 () (@var "V_ry" $$unsorted)) % 0.31/0.78 (define @t372 () (@var "V_ly" $$unsorted)) % 0.31/0.78 (define @t373 () (@var "V_rx" $$unsorted)) % 0.31/0.78 (define @t374 () (@var "V_lx" $$unsorted)) % 0.31/0.78 (define @t375 () (tptp.c_HOL_Otimes__class_Otimes @t374 @t373 @t11)) % 0.31/0.78 (define @t376 () (tptp.c_HOL_Otimes__class_Otimes @t373 @t371 @t11)) % 0.31/0.78 (define @t377 () (tptp.c_HOL_Otimes__class_Otimes @t374 @t372 @t11)) % 0.31/0.78 (define @t378 () (tptp.c_HOL_Otimes__class_Otimes @t377 @t376 @t11)) % 0.31/0.78 (define @t379 () (@list @t11 @t374 @t372 @t373 @t371)) % 0.31/0.78 (define @t380 () (tptp.hAPP @t19 @t64)) % 0.31/0.78 (define @t381 () (tptp.c_HOL_Otimes__class_Otimes @t380 @t2 @t11)) % 0.31/0.78 (define @t382 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t36 @t143 tptp.tc_nat)) % 0.31/0.78 (define @t383 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t36 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t384 () (@list @t36 @t1)) % 0.31/0.78 (define @t385 () (tptp.c_HOL_Oord__class_Oless @t99 @t99 tptp.tc_nat)) % 0.31/0.78 (define @t386 () (not (tptp.c_HOL_Oord__class_Oless @t99 @t99 @t11))) % 0.31/0.78 (define @t387 () (not (tptp.class_Orderings_Olinorder @t11))) % 0.31/0.78 (define @t388 () (= @t99 @t98)) % 0.31/0.78 (define @t389 () (@list @t11 @t98 @t99)) % 0.31/0.78 (define @t390 () (not @t101)) % 0.31/0.78 (define @t391 () (@list @t99 @t98)) % 0.31/0.78 (define @t392 () (@list @t98 @t99)) % 0.31/0.78 (define @t393 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t1 @t2 tptp.tc_nat))) % 0.31/0.78 (define @t394 () (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) % 0.31/0.78 (define @t395 () (tptp.hAPP @t320 @t1)) % 0.31/0.78 (define @t396 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t16 tptp.tc_nat))) % 0.31/0.78 (define @t397 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 @t13 tptp.tc_nat))) % 0.31/0.78 (define @t398 () (@list @t16 @t13)) % 0.31/0.78 (define @t399 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t11))) % 0.31/0.78 (define @t400 () (tptp.hAPP @t62 @t36)) % 0.31/0.78 (define @t401 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t99 @t102 tptp.tc_nat)) % 0.31/0.78 (define @t402 () (@list @t99 @t102 @t98)) % 0.31/0.78 (define @t403 () (tptp.c_HOL_Oord__class_Oless @t70 @t249 @t11)) % 0.31/0.78 (define @t404 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t405 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t2 tptp.tc_nat)) % 0.31/0.78 (define @t406 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t11))) % 0.31/0.78 (define @t407 () (tptp.c_HOL_Otimes__class_Otimes @t98 @t102 @t11)) % 0.31/0.78 (define @t408 () (@var "V_xb" $$unsorted)) % 0.31/0.78 (define @t409 () (@var "V_xa" $$unsorted)) % 0.31/0.78 (define @t410 () (tptp.c_HOL_Oord__class_Oless @t12 @t249 @t11)) % 0.31/0.78 (define @t411 () (tptp.hAPP @t18 @t12)) % 0.31/0.78 (define @t412 () (= (tptp.hAPP @t411 @t13) @t13)) % 0.31/0.78 (define @t413 () (= (tptp.hAPP @t19 @t12) @t13)) % 0.31/0.78 (define @t414 () (not (tptp.class_OrderedGroup_Omonoid__add @t11))) % 0.31/0.78 (define @t415 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t11))) % 0.31/0.78 (define @t416 () (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Divides_Odiv__class_Omod @t1 @t4 tptp.tc_nat)))) % 0.31/0.78 (define @t417 () (tptp.hBOOL @t395)) % 0.31/0.78 (define @t418 () (@list @t320 @t1)) % 0.31/0.78 (define @t419 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t4 tptp.tc_nat)) % 0.31/0.78 (define @t420 () (tptp.hBOOL (tptp.hAPP @t320 @t4))) % 0.31/0.78 (define @t421 () (not @t420)) % 0.31/0.78 (define @t422 () (tptp.v_sko__List__Xlexn__Xinduct__1 @t320)) % 0.31/0.78 (define @t423 () (@var "V_nat" $$unsorted)) % 0.31/0.78 (define @t424 () (tptp.hBOOL (tptp.hAPP @t320 @t423))) % 0.31/0.78 (define @t425 () (@list @t320 @t423)) % 0.31/0.78 (define @t426 () (not (tptp.hBOOL (tptp.hAPP @t320 @t36)))) % 0.31/0.78 (define @t427 () (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 @t320)) % 0.31/0.78 (define @t428 () (@list @t320 @t36)) % 0.31/0.78 (define @t429 () (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Divides_Odiv__class_Odiv @t1 @t4 tptp.tc_nat)))) % 0.31/0.78 (define @t430 () (= @t1 @t4)) % 0.31/0.78 (define @t431 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t320)) % 0.31/0.78 (define @t432 () (not (= @t124 @t4))) % 0.31/0.78 (define @t433 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t320)) % 0.31/0.78 (define @t434 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t320)) % 0.31/0.78 (define @t435 () (tptp.hAPP @t45 @t4)) % 0.31/0.78 (define @t436 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t320)) % 0.31/0.78 (define @t437 () (tptp.v_sko__List__Xupt__Xinduct__1 @t320)) % 0.31/0.78 (define @t438 () (not (tptp.c_HOL_Oord__class_Oless @t275 @t1 tptp.tc_nat))) % 0.31/0.78 (define @t439 () (not (tptp.c_HOL_Oord__class_Oless @t275 @t2 tptp.tc_nat))) % 0.31/0.78 (define @t440 () (tptp.c_HOL_Oord__class_Oless @t2 @t160 tptp.tc_nat)) % 0.31/0.78 (define @t441 () (tptp.c_HOL_Oord__class_Oless @t72 @t1 tptp.tc_nat)) % 0.31/0.78 (define @t442 () (tptp.c_Suc @t107)) % 0.31/0.78 (define @t443 () (tptp.c_Suc @t48)) % 0.31/0.78 (define @t444 () (tptp.c_Suc @t99)) % 0.31/0.78 (define @t445 () (tptp.c_HOL_Oord__class_Oless @t99 @t444 tptp.tc_nat)) % 0.31/0.78 (define @t446 () (tptp.c_HOL_Oord__class_Oless @t1 @t72 tptp.tc_nat)) % 0.31/0.78 (define @t447 () (not @t446)) % 0.31/0.78 (define @t448 () (tptp.c_Suc @t124)) % 0.31/0.78 (define @t449 () (tptp.hAPP (tptp.hAPP @t45 @t72) @t1)) % 0.31/0.78 (define @t450 () (tptp.hAPP @t123 @t160)) % 0.31/0.78 (define @t451 () (= @t442 @t1)) % 0.31/0.78 (define @t452 () (tptp.c_HOL_Oord__class_Oless @t72 @t160 tptp.tc_nat)) % 0.31/0.78 (define @t453 () (@var "V_dB2" $$unsorted)) % 0.31/0.78 (define @t454 () (@var "V_dB1" $$unsorted)) % 0.31/0.78 (define @t455 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t454) @t453)) % 0.31/0.78 (define @t456 () (@var "V_xc" $$unsorted)) % 0.31/0.78 (define @t457 () (tptp.hAPP (tptp.hAPP @t196 @t454) @t453)) % 0.31/0.78 (define @t458 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t50)) % 0.31/0.78 (define @t459 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t61)) % 0.31/0.78 (define @t460 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t53) @t61)) % 0.31/0.78 (define @t461 () (@list @t53 @t61 @t50 @t36)) % 0.31/0.78 (define @t462 () (@var "T_b" $$unsorted)) % 0.31/0.78 (define @t463 () (tptp.c_List_Olist_ONil @t462)) % 0.31/0.78 (define @t464 () (@var "V_xs" $$unsorted)) % 0.31/0.78 (define @t465 () (= @t464 @t463)) % 0.31/0.78 (define @t466 () (@var "V_f" $$unsorted)) % 0.31/0.78 (define @t467 () (tptp.c_List_Omap @t466 @t464 @t462 @t11)) % 0.31/0.78 (define @t468 () (tptp.c_List_Omap @t466 @t463 @t462 @t11)) % 0.31/0.78 (define @t469 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.31/0.78 (define @t470 () (@var "V_ss" $$unsorted)) % 0.31/0.78 (define @t471 () (= @t470 @t469)) % 0.31/0.78 (define @t472 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t50 @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.78 (define @t473 () (tptp.c_Lambda_OdB_OAbs @t285)) % 0.31/0.78 (define @t474 () (not (= @t473 @t472))) % 0.31/0.78 (define @t475 () (@list @t285 @t50 @t470)) % 0.31/0.78 (define @t476 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t473 @t469 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.78 (define @t477 () (@list @t285)) % 0.31/0.78 (define @t478 () (not (= @t472 @t473))) % 0.31/0.78 (define @t479 () (@list @t50 @t470 @t285)) % 0.31/0.78 (define @t480 () (@var "V_zs" $$unsorted)) % 0.31/0.78 (define @t481 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t50) @t53)) % 0.31/0.78 (define @t482 () (tptp.hAPP tptp.c_Lambda_Osubst @t285)) % 0.31/0.78 (define @t483 () (@var "V_Ts" $$unsorted)) % 0.31/0.78 (define @t484 () (@var "V_ts" $$unsorted)) % 0.31/0.78 (define @t485 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t48 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t486 () (tptp.c_Type_Oshift @t60 @t48 @t302 tptp.tc_Type_Otype)) % 0.31/0.79 (define @t487 () (tptp.c_Lambda_OdB_OVar @t423)) % 0.31/0.79 (define @t488 () (@var "V_xd" $$unsorted)) % 0.31/0.79 (define @t489 () (tptp.hAPP @t197 @t423)) % 0.31/0.79 (define @t490 () (tptp.c_Power_Opower__class_Opower @t13 @t4 @t11)) % 0.31/0.79 (define @t491 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t48 tptp.tc_nat))) % 0.31/0.79 (define @t492 () (tptp.c_HOL_Oord__class_Oless @t163 @t12 @t11)) % 0.31/0.79 (define @t493 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t163 @t28 @t11))) % 0.31/0.79 (define @t494 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t29 @t11)) % 0.31/0.79 (define @t495 () (tptp.c_Finite__Set_Osetsum @t466 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t160 tptp.tc_nat) tptp.tc_nat @t11)) % 0.31/0.79 (define @t496 () (@list @t11 @t466 @t2 @t1)) % 0.31/0.79 (define @t497 () (tptp.c_Divides_Odiv__class_Odiv @t13 @t16 tptp.tc_nat)) % 0.31/0.79 (define @t498 () (not (tptp.c_HOL_Oord__class_Oless @t64 @t16 @t11))) % 0.31/0.79 (define @t499 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t16 @t99 @t11) (tptp.c_Power_Opower__class_Opower @t16 @t98 @t11) @t11)) % 0.31/0.79 (define @t500 () (@list @t48 @t44)) % 0.31/0.79 (define @t501 () (not (= @t271 @t12))) % 0.31/0.79 (define @t502 () (tptp.c_HOL_Oord__class_Oless @t139 @t128 @t11)) % 0.31/0.79 (define @t503 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t11))) % 0.31/0.79 (define @t504 () (tptp.c_HOL_Oord__class_Oless @t244 (tptp.hAPP @t135 @t16) @t11)) % 0.31/0.79 (define @t505 () (tptp.c_HOL_Oord__class_Oless @t252 @t248 tptp.tc_nat)) % 0.31/0.79 (define @t506 () (not (tptp.c_Type_Otyping @t60 @t53 @t300))) % 0.31/0.79 (define @t507 () (@var "V_t_H" $$unsorted)) % 0.31/0.79 (define @t508 () (tptp.c_Finite__Set_Osetsum @t466 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t1 tptp.tc_nat) tptp.tc_nat @t11)) % 0.31/0.79 (define @t509 () (not (= @t43 @t3))) % 0.31/0.79 (define @t510 () (tptp.c_HOL_Otimes__class_Otimes @t377 @t373 @t11)) % 0.31/0.79 (define @t511 () (@list @t11 @t374 @t372 @t373)) % 0.31/0.79 (define @t512 () (tptp.c_HOL_Otimes__class_Otimes @t374 @t376 @t11)) % 0.31/0.79 (define @t513 () (@list @t11 @t374 @t373 @t371)) % 0.31/0.79 (define @t514 () (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t28 @t11) (tptp.hAPP @t367 @t29))) % 0.31/0.79 (define @t515 () (@var "V_env" $$unsorted)) % 0.31/0.79 (define @t516 () (tptp.c_Lambda_OdB_OVar @t99)) % 0.31/0.79 (define @t517 () (@list @t454 @t453)) % 0.31/0.79 (define @t518 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t318) @t53)) % 0.31/0.79 (define @t519 () (@var "V_rs" $$unsorted)) % 0.31/0.79 (define @t520 () (tptp.c_Lambda_OdB_OVar @t1)) % 0.31/0.79 (define @t521 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t520 @t519 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t522 () (= (tptp.c_Power_Opower__class_Opower @t12 @t1 @t11) @t12)) % 0.31/0.79 (define @t523 () (not (= @t124 @t275))) % 0.31/0.79 (define @t524 () (= @t2 @t275)) % 0.31/0.79 (define @t525 () (= @t1 @t275)) % 0.31/0.79 (define @t526 () (tptp.hAPP @t435 @t275)) % 0.31/0.79 (define @t527 () (tptp.hAPP (tptp.hAPP @t45 @t275) @t4)) % 0.31/0.79 (define @t528 () (not (= @t275 @t124))) % 0.31/0.79 (define @t529 () (not (= @t3 @t275))) % 0.31/0.79 (define @t530 () (@list @t423)) % 0.31/0.79 (define @t531 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t285) @t50)) % 0.31/0.79 (define @t532 () (= @t285 @t50)) % 0.31/0.79 (define @t533 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t473 @t519 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t318 @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (define @t534 () (@list @t285 @t519 @t50 @t470)) % 0.31/0.79 (define @t535 () (= @t519 @t470)) % 0.31/0.79 (define @t536 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t537 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t61 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t536) @t48 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t538 () (tptp.c_Lambda_OdB_OVar @t44)) % 0.31/0.79 (define @t539 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t113 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t540 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.31/0.79 (define @t541 () (not (= @t540 @t472))) % 0.31/0.79 (define @t542 () (@list @t2 @t50 @t470)) % 0.31/0.79 (define @t543 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t520 @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t544 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t53 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.79 (define @t545 () (@var "V_nat_H" $$unsorted)) % 0.31/0.79 (define @t546 () (= @t423 @t545)) % 0.31/0.79 (define @t547 () (@list @t423 @t545)) % 0.31/0.79 (define @t548 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t540 @t519 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t543))) % 0.31/0.79 (define @t549 () (@list @t2 @t519 @t1 @t470)) % 0.31/0.79 (define @t550 () (tptp.c_Suc @t545)) % 0.31/0.79 (define @t551 () (@list @t545)) % 0.31/0.79 (define @t552 () (@var "V_dB1_H" $$unsorted)) % 0.31/0.79 (define @t553 () (@var "V_dB2_H" $$unsorted)) % 0.31/0.79 (define @t554 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t552) @t553)) % 0.31/0.79 (define @t555 () (not (= @t455 @t554))) % 0.31/0.79 (define @t556 () (@list @t454 @t453 @t552 @t553)) % 0.31/0.79 (define @t557 () (@var "V_Q" $$unsorted)) % 0.31/0.79 (define @t558 () (@var "V_R" $$unsorted)) % 0.31/0.79 (define @t559 () (@var "T_c" $$unsorted)) % 0.31/0.79 (define @t560 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_ra)) % 0.31/0.79 (define @t561 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_s)) % 0.31/0.79 (define @t562 () (tptp.hAPP (tptp.hAPP @t561 @t113) @t44)) % 0.31/0.79 (define @t563 () (forall @t500 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t560 (tptp.c_Lambda_OdB_OVar @t443)) @t260)) @t562) @t4) (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t113 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t536) @t44 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.31/0.79 (define @t564 () (tptp.c_Lambda_OdB_OVar tptp.v_ia)) % 0.31/0.79 (define @t565 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t560 (tptp.c_Lambda_OdB_OVar (tptp.c_Suc tptp.v_ia))) (tptp.c_Suc tptp.v_ja))) (tptp.hAPP (tptp.hAPP @t561 @t564) tptp.v_ja)) @t4) (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t564 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t536) tptp.v_ja tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (define @t566 () (@var "T_1" $$unsorted)) % 0.31/0.79 (define @t567 () (@var "T_2" $$unsorted)) % 0.31/0.79 (define @t568 () (tptp.tc_fun @t567 @t566)) % 0.31/0.79 (define @t569 () (@list @t567 @t566)) % 0.31/0.79 (define @t570 () (@var "V_Y" $$unsorted)) % 0.31/0.79 (define @t571 () (@var "V_X" $$unsorted)) % 0.31/0.79 (assume @p1 (forall @t8 (or @t7 @t6))) % 0.31/0.79 (assume @p2 (forall @t10 (or @t9 @t6))) % 0.31/0.79 (assume @p3 (forall @t22 (or @t21 (tptp.c_HOL_Oord__class_Oless @t20 @t12 @t11) @t17 @t15))) % 0.31/0.79 (assume @p4 (forall @t27 (or @t26 @t25 @t24))) % 0.31/0.79 (assume @p5 (forall @t27 (or @t26 (not @t25) @t23))) % 0.31/0.79 (assume @p6 (forall @t31 (or @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t28 @t11) (tptp.c_Divides_Odiv__class_Odiv @t29 @t13 @t11)) @t24))) % 0.31/0.79 (assume @p7 (forall @t33 (or @t32 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t13 @t13 @t11) @t12 @t11))))) % 0.31/0.79 (assume @p8 (forall @t41 (or @t40 @t35))) % 0.31/0.79 (assume @p9 (forall @t42 (or @t34 (not @t40)))) % 0.31/0.79 (assume @p10 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t43 tptp.tc_nat)) % 0.31/0.79 (assume @p11 (forall @t59 (or (= @t58 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t55) @t52) @t47)) @t49))) % 0.31/0.79 (assume @p12 (forall (@list @t11 @t13 @t60 @t16 @t28) (or (not (tptp.class_Ring__and__Field_Osemiring @t11)) (= (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t13 @t60 @t11)) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t16 @t60 @t11)) @t28)) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t20 @t60 @t11)) @t28))))) % 0.31/0.79 (assume @p13 (forall (@list @t48 @t61 @t44 @t36) (= (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t48 @t61 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t44 @t61 tptp.tc_nat)) @t36)) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t63 @t61 tptp.tc_nat)) @t36)))) % 0.31/0.79 (assume @p14 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t64 @t67 @t11) @t66 @t65))) % 0.31/0.79 (assume @p15 (forall @t74 (or @t73 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t72 @t11) (tptp.hAPP @t71 @t70))))) % 0.31/0.79 (assume @p16 (forall @t41 (or @t79 @t78))) % 0.31/0.79 (assume @p17 (forall @t41 (or @t79 @t83))) % 0.31/0.79 (assume @p18 (forall @t41 (or @t86 @t85 @t84))) % 0.31/0.79 (assume @p19 (forall @t87 (or @t73 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t43 @t11) @t64)))) % 0.31/0.79 (assume @p20 (forall @t10 (or @t89 @t88))) % 0.31/0.79 (assume @p21 (forall @t10 (or @t89 @t90))) % 0.31/0.79 (assume @p22 (forall @t94 (or @t26 (= @t93 @t92)))) % 0.31/0.79 (assume @p23 (forall @t94 (or @t26 (= @t93 @t97)))) % 0.31/0.79 (assume @p24 (forall @t106 (or @t105 @t104 @t103 @t101 @t100))) % 0.31/0.79 (assume @p25 (forall @t10 (or (tptp.c_HOL_Oord__class_Oless @t107 @t1 tptp.tc_nat) @t66))) % 0.31/0.79 (assume @p26 (forall @t110 (or @t109 (= @t108 @t64)))) % 0.31/0.79 (assume @p27 (forall @t115 (or (= @t114 (tptp.c_Lambda_OdB_OVar @t112)) @t111))) % 0.31/0.79 (assume @p28 (forall (@list @t11 @t99 @t98 @t102 @t61) (or @t121 (not (= @t120 (tptp.hAPP @t118 @t61))) (= @t117 @t61)))) % 0.31/0.79 (assume @p29 (forall @t125 (or @t109 (= (tptp.c_Power_Opower__class_Opower @t13 @t124 @t11) (tptp.c_HOL_Otimes__class_Otimes @t122 @t67 @t11))))) % 0.31/0.79 (assume @p30 (forall @t8 (or @t7 @t9 (not @t126)))) % 0.31/0.79 (assume @p31 (forall @t94 (or @t133 @t132))) % 0.31/0.79 (assume @p32 (forall @t138 (or @t133 (= @t137 (tptp.hAPP @t135 (tptp.hAPP @t19 @t134)))))) % 0.31/0.79 (assume @p33 (forall @t94 (or @t133 (= @t131 (tptp.hAPP @t140 @t16))))) % 0.31/0.79 (assume @p34 (forall @t138 (or @t133 (= @t137 (tptp.hAPP @t140 @t134))))) % 0.31/0.79 (assume @p35 (forall @t94 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t11)) @t132))) % 0.31/0.79 (assume @p36 (forall @t94 (or @t141 (= @t129 (tptp.hAPP @t127 @t139))))) % 0.31/0.79 (assume @p37 (forall @t94 (or @t141 @t132))) % 0.31/0.79 (assume @p38 (forall @t42 (= (tptp.hAPP (tptp.hAPP @t45 @t124) @t36) (tptp.hAPP @t123 @t143)))) % 0.31/0.79 (assume @p39 (forall @t148 (= (tptp.hAPP @t144 @t147) (tptp.hAPP @t146 @t145)))) % 0.31/0.79 (assume @p40 (forall @t149 (or @t121 (= @t120 (tptp.hAPP @t118 @t117))))) % 0.31/0.79 (assume @p41 (forall @t149 (or @t133 (= @t120 (tptp.hAPP (tptp.hAPP @t18 @t150) @t102))))) % 0.31/0.79 (assume @p42 (forall (@list @t11 @t102 @t99 @t98) (or @t153 (tptp.c_HOL_Oord__class_Oless @t102 @t99 @t11) (not (tptp.c_HOL_Oord__class_Oless @t102 @t98 @t11)) @t152))) % 0.31/0.79 (assume @p43 (forall (@list @t11 @t99 @t102 @t98) (or @t156 (tptp.c_HOL_Oord__class_Oless @t99 @t102 @t11) (not (tptp.c_HOL_Oord__class_Oless @t98 @t102 @t11)) @t155))) % 0.31/0.79 (assume @p44 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t161 @t64 @t11) @t159 @t158))) % 0.31/0.79 (assume @p45 (forall @t94 (or @t26 (= @t93 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t96 @t91) @t28 @t11))))) % 0.31/0.79 (assume @p46 (forall @t22 (or @t133 (= @t163 @t162)))) % 0.31/0.79 (assume @p47 (forall @t10 (= @t3 @t164))) % 0.31/0.79 (assume @p48 (forall @t166 (or @t133 (= @t165 (tptp.c_HOL_Otimes__class_Otimes @t98 @t99 @t11))))) % 0.31/0.79 (assume @p49 (forall @t171 (or @t133 (= @t170 @t169)))) % 0.31/0.79 (assume @p50 (forall @t173 (or @t133 (= (tptp.c_Power_Opower__class_Opower @t99 @t160 @t11) (tptp.c_HOL_Otimes__class_Otimes @t99 @t172 @t11))))) % 0.31/0.79 (assume @p51 (forall @t69 (or @t175 (= @t161 @t174)))) % 0.31/0.79 (assume @p52 (forall @t69 (or @t109 (= @t161 @t176)))) % 0.31/0.79 (assume @p53 (forall @t179 (or @t133 (= (tptp.c_Power_Opower__class_Opower @t178 @t167 @t11) (tptp.c_Power_Opower__class_Opower @t99 (tptp.c_HOL_Otimes__class_Otimes @t177 @t167 tptp.tc_nat) @t11))))) % 0.31/0.79 (assume @p54 (forall @t181 (or @t180 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t2 @t43 tptp.tc_nat) @t2 tptp.tc_nat)))) % 0.31/0.79 (assume @p55 (forall @t181 (or @t180 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t43 @t2 tptp.tc_nat) @t2 tptp.tc_nat)))) % 0.31/0.79 (assume @p56 (forall @t149 (or @t185 @t184 (= @t183 (tptp.hAPP (tptp.hAPP @t18 @t182) @t165))))) % 0.31/0.79 (assume @p57 (forall (@list @t11 @t99 @t28 @t134) (or @t185 @t184 (= (tptp.hAPP (tptp.hAPP @t18 @t186) @t187) (tptp.hAPP (tptp.hAPP @t18 @t187) @t186))))) % 0.31/0.79 (assume @p58 (forall (@list @t99 @t28 @t134) (= (tptp.hAPP (tptp.hAPP @t45 @t188) @t189) (tptp.hAPP (tptp.hAPP @t45 @t189) @t188)))) % 0.31/0.79 (assume @p59 (forall @t148 (= (tptp.hAPP (tptp.hAPP @t45 @t190) @t191) (tptp.hAPP (tptp.hAPP @t45 @t191) @t190)))) % 0.31/0.79 (assume @p60 (forall (@list @t197 @t196 @t193 @t192 @t11) (= (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 @t195 @t11) @t194))) % 0.31/0.79 (assume @p61 (forall @t198 (= @t160 (tptp.hAPP @t142 @t43)))) % 0.31/0.79 (assume @p62 (forall @t198 (= @t160 (tptp.hAPP (tptp.hAPP @t45 @t43) @t1)))) % 0.31/0.79 (assume @p63 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t199 @t16 @t11) @t199)))) % 0.31/0.79 (assume @p64 (forall @t200 (or @t73 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_Power_Opower__class_Opower @t2 @t1 tptp.tc_nat) @t11) (tptp.c_Power_Opower__class_Opower @t70 @t1 @t11))))) % 0.31/0.79 (assume @p65 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t13 @t13 @t11) @t64) @t201))) % 0.31/0.79 (assume @p66 (forall @t22 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t162 @t11)))) % 0.31/0.79 (assume @p67 (forall @t22 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t163 @t11)))) % 0.31/0.79 (assume @p68 (forall (@list @t11 @t16 @t36) (or (not (tptp.class_Ring__and__Field_Odvd @t11)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 (tptp.c_HOL_Otimes__class_Otimes @t16 @t36 @t11) @t11)))) % 0.31/0.79 (assume @p69 (forall @t33 (or @t133 @t202))) % 0.31/0.79 (assume @p70 (forall @t33 (or @t133 @t203))) % 0.31/0.79 (assume @p71 (forall @t33 (or @t109 @t203))) % 0.31/0.79 (assume @p72 (forall @t33 (or @t109 @t202))) % 0.31/0.79 (assume @p73 (forall @t33 (or @t204 @t202))) % 0.31/0.79 (assume @p74 (forall @t198 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t1 tptp.tc_nat) @t1))) % 0.31/0.79 (assume @p75 (forall @t198 (= (tptp.c_HOL_Otimes__class_Otimes @t1 @t43 tptp.tc_nat) @t1))) % 0.31/0.79 (assume @p76 (forall @t205 (or @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t99 @t11) @t99)))) % 0.31/0.79 (assume @p77 (forall (@list @t207 @t11) (tptp.c_List_Olistsp @t207 @t206 @t11))) % 0.31/0.79 (assume @p78 (forall @t10 (or (= (tptp.c_Divides_Odiv__class_Odiv @t3 @t1 tptp.tc_nat) @t2) @t66))) % 0.31/0.79 (assume @p79 (forall @t8 (or (= (tptp.c_Divides_Odiv__class_Odiv @t164 @t1 tptp.tc_nat) @t2) @t66))) % 0.31/0.79 (assume @p80 (forall @t210 (or @t185 @t209 @t24))) % 0.31/0.79 (assume @p81 (forall @t214 (or @t185 @t213 @t24))) % 0.31/0.79 (assume @p82 (forall @t41 (or @t217 @t216))) % 0.31/0.79 (assume @p83 (forall @t210 (or @t26 (= @t219 @t218)))) % 0.31/0.79 (assume @p84 (forall @t149 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t150 @t102 @t11) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_Divides_Odiv__class_Odiv @t99 @t102 @t11)) (tptp.c_Divides_Odiv__class_Odiv @t98 @t102 @t11))) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t98 @t11)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t99 @t11))))) % 0.31/0.79 (assume @p85 (forall @t31 (or @t26 (= (tptp.hAPP (tptp.hAPP @t18 @t221) @t28) @t139)))) % 0.31/0.79 (assume @p86 (forall @t94 (or @t26 (= (tptp.hAPP (tptp.hAPP @t18 @t223) @t28) @t139)))) % 0.31/0.79 (assume @p87 (forall @t224 (tptp.c_HOL_Oord__class_Oless @t48 (tptp.c_Suc (tptp.hAPP @t62 @t2)) tptp.tc_nat))) % 0.31/0.79 (assume @p88 (forall @t224 (tptp.c_HOL_Oord__class_Oless @t48 (tptp.c_Suc (tptp.hAPP @t123 @t48)) tptp.tc_nat))) % 0.31/0.79 (assume @p89 (forall (@list @t2 @t99) (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t123 @t99)) tptp.tc_nat))) % 0.31/0.79 (assume @p90 (forall (@list @t11 @t13 @t225 @t1) (or @t68 (tptp.c_HOL_Oord__class_Oless @t227 @t67 @t11) @t159 @t158 @t226))) % 0.31/0.79 (assume @p91 (forall @t148 (or @t230 @t229))) % 0.31/0.79 (assume @p92 (forall @t148 (or @t230 (not (tptp.c_HOL_Oord__class_Oless @t99 @t102 tptp.tc_nat))))) % 0.31/0.79 (assume @p93 (forall @t231 (or @t111 (not (tptp.c_HOL_Oord__class_Oless @t63 @t36 tptp.tc_nat))))) % 0.31/0.79 (assume @p94 (forall (@list @t48 @t44 @t2) (or (tptp.c_HOL_Oord__class_Oless @t48 (tptp.hAPP @t46 @t2) tptp.tc_nat) @t232))) % 0.31/0.79 (assume @p95 (forall (@list @t48 @t2 @t44) (or (tptp.c_HOL_Oord__class_Oless @t48 (tptp.hAPP @t123 @t44) tptp.tc_nat) @t232))) % 0.31/0.79 (assume @p96 (forall @t237 (or @t26 @t236 @t235 @t234))) % 0.31/0.79 (assume @p97 (forall @t237 (or @t26 @t233 @t238 @t235))) % 0.31/0.79 (assume @p98 (forall @t237 (or @t26 @t236 @t234 @t235))) % 0.31/0.79 (assume @p99 (forall @t237 (or @t26 @t233 @t235 @t238))) % 0.31/0.79 (assume @p100 (forall (@list @t36 @t2) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t76) @t36 tptp.tc_nat) @t43) (not (tptp.c_HOL_Oord__class_Oless @t43 @t36 tptp.tc_nat))))) % 0.31/0.79 (assume @p101 (= @t43 @t239)) % 0.31/0.79 (assume @p102 (forall @t243 (= (tptp.c_Lambda_Osubstn @t242 @t50 @t36) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t53 @t50 @t241))))) % 0.31/0.79 (assume @p103 (forall (@list @t11 @t13 @t28) (or @t133 (= @t139 @t244)))) % 0.31/0.79 (assume @p104 (forall @t22 (or @t141 (= @t20 @t245)))) % 0.31/0.79 (assume @p105 (forall @t10 (= @t124 (tptp.hAPP @t142 @t2)))) % 0.31/0.79 (assume @p106 (forall (@list @t2 @t246 @t36 @t1) (or (not (= (tptp.hAPP @t123 @t246) @t248)) @t247 @t34))) % 0.31/0.79 (assume @p107 (forall @t166 (or @t133 (= @t150 (tptp.hAPP @t118 @t99))))) % 0.31/0.79 (assume @p108 (forall @t110 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t64 @t108 @t11)))) % 0.31/0.79 (assume @p109 (forall @t200 (or (not (tptp.class_Nat_Osemiring__char__0 @t11)) (not (= @t70 @t249)) @t84))) % 0.31/0.79 (assume @p110 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t199 @t16 @t11) @t12)))) % 0.31/0.79 (assume @p111 (forall @t148 (or (not (= (tptp.hAPP @t144 @t98) @t145)) @t250))) % 0.31/0.79 (assume @p112 (forall @t251 (or (not (= (tptp.hAPP @t123 @t36) @t143)) @t84))) % 0.31/0.79 (assume @p113 (forall @t41 (or (not (= @t252 @t248)) @t84))) % 0.31/0.79 (assume @p114 (forall @t149 (or @t185 @t184 (not (= @t150 @t117)) @t250))) % 0.31/0.79 (assume @p115 (forall @t94 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t11)) @t254 @t253))) % 0.31/0.79 (assume @p116 (forall @t94 (or @t255 @t254 @t253))) % 0.31/0.79 (assume @p117 (forall @t31 (or @t255 (not (= @t245 @t244)) @t253))) % 0.31/0.79 (assume @p118 (forall @t243 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t242) @t50) @t36) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP @t51 @t4)) @t241))))) % 0.31/0.79 (assume @p119 (forall (@list @t11 @t99 @t1 @t98) (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t172 @t256 @t11) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t99 @t98 @t11))))) % 0.31/0.79 (assume @p120 (forall (@list @t53 @t257 @t48 @t44 @t61) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t56 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t257) @t48)) @t260)) (tptp.hAPP (tptp.hAPP @t259 @t257) @t44)) @t48) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t258) @t257) @t44)) @t49))) % 0.31/0.79 (assume @p121 (forall @t94 (or @t26 (= @t218 @t219)))) % 0.31/0.79 (assume @p122 (forall @t94 (or @t26 (= @t218 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t13 @t91 @t11) @t28 @t11))))) % 0.31/0.79 (assume @p123 (forall @t265 (or @t26 @t264 (not @t263) @t262 @t24))) % 0.31/0.79 (assume @p124 (forall @t31 (or @t26 @t263 @t266 @t262 @t24))) % 0.31/0.79 (assume @p125 (forall @t10 (or @t268 @t35))) % 0.31/0.79 (assume @p126 (forall @t166 (or @t32 @t272 @t269))) % 0.31/0.79 (assume @p127 (forall @t166 (or @t32 @t272 @t273))) % 0.31/0.79 (assume @p128 (forall (@list @t11 @t13 @t16 @t28 @t134) (or @t133 (= (tptp.hAPP @t130 @t136) (tptp.hAPP @t140 @t274))))) % 0.31/0.79 (assume @p129 (forall @t276 (= (tptp.c_Nat_Osize__class_Osize @t195 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Nat_Osize__class_Osize @t192 tptp.tc_Lambda_OdB)) @t275)))) % 0.31/0.79 (assume @p130 (forall @t74 (or @t68 (not (tptp.c_HOL_Oord__class_Oless @t70 @t12 @t11))))) % 0.31/0.79 (assume @p131 (forall @t94 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t128 @t11) @t262 @t24))) % 0.31/0.79 (assume @p132 (forall @t214 (or @t32 @t280 @t279 @t278))) % 0.31/0.79 (assume @p133 (forall @t31 (or @t32 @t282 @t281 @t278))) % 0.31/0.79 (assume @p134 (forall @t214 (or @t32 @t280 @t279 @t284))) % 0.31/0.79 (assume @p135 (forall @t31 (or @t32 @t282 @t281 @t284))) % 0.31/0.79 (assume @p136 (= @t239 @t43)) % 0.31/0.79 (assume @p137 (forall @t27 (or @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t13 @t11) @t16) @t24))) % 0.31/0.79 (assume @p138 (forall @t22 (or @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t13 @t30 @t11) @t16) @t24))) % 0.31/0.79 (assume @p139 (forall @t115 (or (= @t114 @t113) (not @t111)))) % 0.31/0.79 (assume @p140 (forall (@list @t285 @t48 @t50) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t285) @t48) @t52) @t286))) % 0.31/0.79 (assume @p141 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t174 @t67 @t11) @t159 @t158))) % 0.31/0.79 (assume @p142 (forall @t59 (or (= @t58 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t54 @t112)) @t52) @t44)) (not (tptp.c_HOL_Oord__class_Oless @t44 @t112 tptp.tc_nat))))) % 0.31/0.79 (assume @p143 (forall (@list @t53 @t48 @t36) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t55) @t37) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t287) @t48)) (not (tptp.c_HOL_Oord__class_Oless @t48 @t241 tptp.tc_nat))))) % 0.31/0.79 (assume @p144 (forall @t41 (= (tptp.c_HOL_Otimes__class_Otimes @t36 @t107 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t76 @t75 tptp.tc_nat)))) % 0.31/0.79 (assume @p145 (forall @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t107 @t36 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t81 @t80 tptp.tc_nat)))) % 0.31/0.79 (assume @p146 (forall @t251 (or @t82 @t35 @t85))) % 0.31/0.79 (assume @p147 (forall @t41 (or @t77 @t35 @t85))) % 0.31/0.79 (assume @p148 (forall (@list @t36 @t48 @t44) (or (tptp.c_HOL_Oord__class_Oless @t288 (tptp.c_HOL_Otimes__class_Otimes @t36 @t44 tptp.tc_nat) tptp.tc_nat) @t85 @t232))) % 0.31/0.79 (assume @p149 (forall @t231 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t48 @t36 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t44 @t36 tptp.tc_nat) tptp.tc_nat) @t85 @t232))) % 0.31/0.79 (assume @p150 (forall @t42 (or @t34 @t78 @t85))) % 0.31/0.79 (assume @p151 (forall @t31 (or @t32 @t282 @t278 @t289))) % 0.31/0.79 (assume @p152 (forall @t214 (or @t32 @t277 @t290 @t289))) % 0.31/0.79 (assume @p153 (forall @t94 (or @t32 @t281 @t278 @t291))) % 0.31/0.79 (assume @p154 (forall @t214 (or @t32 @t277 @t292 @t291))) % 0.31/0.79 (assume @p155 (forall @t214 (or @t32 @t277 @t289 @t290))) % 0.31/0.79 (assume @p156 (forall @t214 (or @t293 @t277 @t291 @t292))) % 0.31/0.79 (assume @p157 (forall @t210 (or @t32 @t283 @t289 @t290))) % 0.31/0.79 (assume @p158 (forall @t210 (or @t293 @t283 @t291 @t292))) % 0.31/0.79 (assume @p159 (forall @t210 (or @t32 @t283 @t292 @t291))) % 0.31/0.79 (assume @p160 (forall @t210 (or @t32 @t283 @t290 @t289))) % 0.31/0.79 (assume @p161 (forall @t214 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t11)) @t277 @t291 @t292))) % 0.31/0.79 (assume @p162 (forall @t296 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t45 @t13) @t16) @t28 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Divides_Odiv__class_Odiv @t13 @t28 tptp.tc_nat)) @t295)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Divides_Odiv__class_Omod @t13 @t28 tptp.tc_nat)) @t294) @t28 tptp.tc_nat))))) % 0.31/0.79 (assume @p163 (forall (@list @t2 @t1 @t48) (or @t34 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t48 @t2 tptp.tc_nat) (tptp.c_Power_Opower__class_Opower @t48 @t1 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t4 @t48 tptp.tc_nat))))) % 0.31/0.79 (assume @p164 (forall @t214 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t212 @t211 @t11) @t220) @t297))) % 0.31/0.79 (assume @p165 (forall @t210 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t208 @t29 @t11) @t220) @t297))) % 0.31/0.79 (assume @p166 (forall @t41 (or @t299 @t298))) % 0.31/0.79 (assume @p167 (forall (@list @t301 @t61 @t302 @t48 @t53 @t300) (or (not (tptp.c_Type_Otyping @t301 @t61 @t302)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t301 @t48 @t302 tptp.tc_Type_Otype) @t53 @t300)) (tptp.c_Type_Otyping @t301 @t258 @t300)))) % 0.31/0.79 (assume @p168 (forall @t87 (or @t68 (tptp.c_HOL_Oord__class_Oless @t12 @t303 @t11)))) % 0.31/0.79 (assume @p169 (forall @t305 (= (tptp.c_Divides_Odiv__class_Omod @t304 @t1 tptp.tc_nat) @t107))) % 0.31/0.79 (assume @p170 (forall @t210 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t306 @t16 @t11) @t199)))) % 0.31/0.79 (assume @p171 (forall @t94 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t307 @t16 @t11) @t199)))) % 0.31/0.79 (assume @p172 (forall (@list @t11 @t13 @t2 @t16) (or @t133 (= (tptp.hAPP @t309 (tptp.c_HOL_Otimes__class_Otimes @t16 @t2 @t11)) (tptp.c_HOL_Otimes__class_Otimes @t20 @t2 @t11))))) % 0.31/0.79 (assume @p173 (forall @t8 (or @t66 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Otimes__class_Otimes @t1 (tptp.c_Suc @t267) tptp.tc_nat) tptp.tc_nat)))) % 0.31/0.79 (assume @p174 (forall @t42 (or @t215 @t298 @t310))) % 0.31/0.79 (assume @p175 (forall @t94 (or @t185 @t23 @t297 (not @t213)))) % 0.31/0.79 (assume @p176 (forall @t94 (or @t185 @t23 @t297 (not @t209)))) % 0.31/0.79 (assume @p177 (forall @t27 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t245 @t16 @t11) @t312) @t311))) % 0.31/0.79 (assume @p178 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t16 @t11) @t312) @t311))) % 0.31/0.79 (assume @p179 (forall @t87 (or @t32 (not (tptp.c_HOL_Oord__class_Oless @t12 @t314 @t11))))) % 0.31/0.79 (assume @p180 (forall @t316 (tptp.c_HOL_Oord__class_Oless @t4 @t315 tptp.tc_nat))) % 0.31/0.79 (assume @p181 (forall @t319 (or (tptp.c_Lambda_Obeta @t318 @t242) @t317))) % 0.31/0.79 (assume @p182 (forall @t200 (or @t68 (tptp.c_HOL_Oord__class_Oless @t64 (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 @t11) @t11) (not (tptp.c_HOL_Oord__class_Oless @t64 @t1 @t11)) (not (tptp.c_HOL_Oord__class_Oless @t64 @t2 @t11))))) % 0.31/0.79 (assume @p183 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t13 @t64 @t11) @t13)))) % 0.31/0.79 (assume @p184 (forall @t323 (or @t322 @t298 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Divides_Odiv__class_Omod @t321 @t36 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t320 @t44))))) % 0.31/0.79 (assume @p185 (forall @t10 (or @t126 @t66))) % 0.31/0.79 (assume @p186 (forall @t10 (or @t126 @t180))) % 0.31/0.79 (assume @p187 (forall @t33 (or @t326 @t157 (not @t325)))) % 0.31/0.79 (assume @p188 (forall @t33 (or @t326 @t325 @t158))) % 0.31/0.79 (assume @p189 (forall @t106 (or @t105 @t103 @t101 @t100))) % 0.31/0.79 (assume @p190 (forall @t106 (or @t105 @t104 @t103 @t100))) % 0.31/0.79 (assume @p191 (forall @t69 (or @t330 @t329 @t328 @t175 @t327 @t201))) % 0.31/0.79 (assume @p192 (forall @t69 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t11)) @t327 @t201))) % 0.31/0.79 (assume @p193 (forall @t205 (or @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t12 @t99 @t11) @t12)))) % 0.31/0.79 (assume @p194 (forall @t33 (or @t328 @t332))) % 0.31/0.79 (assume @p195 (forall @t33 (or @t328 @t334))) % 0.31/0.79 (assume @p196 (forall (@list @t11 @t16) (or @t336 (= @t335 @t12)))) % 0.31/0.79 (assume @p197 (forall @t33 (or @t336 @t334))) % 0.31/0.79 (assume @p198 (forall @t33 (or @t133 @t334))) % 0.31/0.79 (assume @p199 (forall @t33 (or @t133 @t332))) % 0.31/0.79 (assume @p200 (forall @t33 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t12 @t11)))) % 0.31/0.79 (assume @p201 (forall @t87 (or @t330 (not (= @t64 @t12))))) % 0.31/0.79 (assume @p202 (forall @t22 (or @t329 @t337 @t201 @t311))) % 0.31/0.79 (assume @p203 (forall @t22 (or @t329 @t337 @t311 @t201))) % 0.31/0.79 (assume @p204 (forall @t22 (or @t336 @t337 @t311 @t201))) % 0.31/0.79 (assume @p205 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t13 @t12 @t11) @t12)))) % 0.31/0.79 (assume @p206 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t12 @t13 @t11) @t12)))) % 0.31/0.79 (assume @p207 (forall @t33 (or @t326 (not (= @t324 @t12)) @t201))) % 0.31/0.79 (assume @p208 (forall @t10 (or @t268 @t35 @t66))) % 0.31/0.79 (assume @p209 (forall @t94 (or @t26 (= @t218 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t95 @t91 @t11) @t28 @t11))))) % 0.31/0.79 (assume @p210 (forall @t69 (or @t109 (= @t176 @t174)))) % 0.31/0.79 (assume @p211 (forall @t179 (or @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t178 @t168 @t11) (tptp.c_Power_Opower__class_Opower @t99 (tptp.hAPP (tptp.hAPP @t45 @t177) @t167) @t11))))) % 0.31/0.79 (assume @p212 (forall @t94 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t307 @t16 @t11) @t338) @t311))) % 0.31/0.79 (assume @p213 (forall @t210 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t306 @t16 @t11) @t338) @t311))) % 0.31/0.79 (assume @p214 (forall @t74 (or @t133 (= (tptp.hAPP @t339 @t2) (tptp.c_HOL_Otimes__class_Otimes @t303 @t2 @t11))))) % 0.31/0.79 (assume @p215 (forall @t205 (or @t133 (= (tptp.c_Power_Opower__class_Opower @t99 @t43 @t11) @t99)))) % 0.31/0.79 (assume @p216 (forall @t33 (or @t109 (= (tptp.c_Power_Opower__class_Opower @t13 @t43 @t11) @t13)))) % 0.31/0.79 (assume @p217 (forall @t344 (or @t26 @t343 @t342 (= @t93 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t18 @t341) @t340) @t28 @t11))))) % 0.31/0.79 (assume @p218 (forall @t33 (or @t326 @t345 @t15))) % 0.31/0.79 (assume @p219 (forall @t33 (or @t326 @t14 @t346))) % 0.31/0.79 (assume @p220 (forall @t33 (or @t347 @t14 @t346))) % 0.31/0.79 (assume @p221 (forall @t33 (or @t347 @t345 @t15))) % 0.31/0.79 (assume @p222 (forall @t27 (or @t293 @t348 @t158 (not (tptp.c_HOL_Oord__class_Oless @t12 @t162 @t11))))) % 0.31/0.79 (assume @p223 (forall @t27 (or @t293 @t348 @t158 (not @t349)))) % 0.31/0.79 (assume @p224 (forall @t22 (or @t293 @t349 @t350 @t158))) % 0.31/0.79 (assume @p225 (forall @t22 (or @t32 @t349 @t17 @t15))) % 0.31/0.79 (assume @p226 (forall @t10 (or @t5 @t66 @t180))) % 0.31/0.79 (assume @p227 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t12 @t67 @t11) @t158))) % 0.31/0.79 (assume @p228 (forall @t353 (or @t352 (not @t351)))) % 0.31/0.79 (assume @p229 (forall @t10 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t160 tptp.tc_nat) (tptp.hAPP @t123 @t3)))) % 0.31/0.79 (assume @p230 (forall @t10 (= (tptp.c_HOL_Otimes__class_Otimes @t72 @t1 tptp.tc_nat) (tptp.hAPP @t142 @t3)))) % 0.31/0.79 (assume @p231 (forall @t323 (or @t322 @t298 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Divides_Odiv__class_Odiv @t321 @t36 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t320 @t48))))) % 0.31/0.79 (assume @p232 (forall (@list @t11 @t99 @t98 @t1) (or @t26 (= (tptp.c_Power_Opower__class_Opower @t355 @t1 @t11) (tptp.c_Divides_Odiv__class_Odiv @t172 @t256 @t11)) @t354))) % 0.31/0.79 (assume @p233 (forall (@list @t60 @t99 @t300 @t11) (= (tptp.hAPP (tptp.c_Type_Oshift @t60 @t99 @t300 @t11) @t99) @t300))) % 0.31/0.79 (assume @p234 (forall @t358 (or (= (tptp.c_Lambda_Osubstn @t113 @t50 @t36) @t113) @t357 @t356))) % 0.31/0.79 (assume @p235 (forall @t87 (or @t68 (not (tptp.c_HOL_Oord__class_Oless @t64 @t12 @t11))))) % 0.31/0.79 (assume @p236 (forall (@list @t192 @t359) (or (not (= @t195 @t360)) (= @t192 @t359)))) % 0.31/0.79 (assume @p237 (forall @t166 (or @t32 (not (tptp.c_HOL_Oord__class_Oless @t271 @t12 @t11))))) % 0.31/0.79 (assume @p238 (forall @t200 (or @t73 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t3 @t11) (tptp.c_HOL_Otimes__class_Otimes @t70 @t249 @t11))))) % 0.31/0.79 (assume @p239 (forall @t305 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t304) @t1 tptp.tc_nat) @t361))) % 0.31/0.79 (assume @p240 (forall (@list @t11 @t362 @t98 @t99 @t102) (or @t185 @t184 (not (= (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t362 @t98 @t11)) @t182) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t362 @t102 @t11)) @t165))) @t250 @t363))) % 0.31/0.79 (assume @p241 (forall @t368 (or @t185 @t184 (not (= (tptp.hAPP @t367 @t366) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_HOL_Otimes__class_Otimes @t13 @t134 @t11)) @t29))) @t365 @t364))) % 0.31/0.79 (assume @p242 (forall (@list @t13 @t28 @t16 @t134) (or (not (= (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t13 @t28 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t16 @t134 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t13 @t134 tptp.tc_nat)) @t369))) @t365 @t364))) % 0.31/0.79 (assume @p243 (forall (@list @t362 @t98 @t99 @t102) (or (not (= (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t362 @t98 tptp.tc_nat)) @t191) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t362 @t102 tptp.tc_nat)) @t190))) @t250 @t363))) % 0.31/0.79 (assume @p244 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t163 @t16 @t11) @t13) @t311))) % 0.31/0.79 (assume @p245 (forall @t27 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t162 @t16 @t11) @t13) @t311))) % 0.31/0.79 (assume @p246 (forall @t10 (or (not (= @t2 @t3)) @t370 @t90))) % 0.31/0.79 (assume @p247 (forall @t344 (or @t26 @t343 @t342 (= @t218 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t341 @t340 @t11) @t28 @t11))))) % 0.31/0.79 (assume @p248 (forall @t379 (or @t133 (= @t378 (tptp.c_HOL_Otimes__class_Otimes @t375 (tptp.c_HOL_Otimes__class_Otimes @t372 @t371 @t11) @t11))))) % 0.31/0.79 (assume @p249 (forall @t379 (or @t133 (= @t378 (tptp.c_HOL_Otimes__class_Otimes @t374 (tptp.c_HOL_Otimes__class_Otimes @t372 @t376 @t11) @t11))))) % 0.31/0.79 (assume @p250 (forall @t379 (or @t133 (= @t378 (tptp.c_HOL_Otimes__class_Otimes @t373 (tptp.c_HOL_Otimes__class_Otimes @t377 @t371 @t11) @t11))))) % 0.31/0.79 (assume @p251 (forall (@list @t11 @t13 @t2) (or @t133 (= (tptp.hAPP @t309 @t2) @t381)))) % 0.31/0.79 (assume @p252 (forall (@list @t11 @t2 @t13) (or @t133 (= (tptp.hAPP @t339 @t308) @t381)))) % 0.31/0.79 (assume @p253 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t64 @t11) @t12)))) % 0.31/0.79 (assume @p254 (forall @t384 (or @t383 (not @t382)))) % 0.31/0.79 (assume @p255 (forall @t384 (or @t382 (not @t383)))) % 0.31/0.79 (assume @p256 (forall @t10 (or (= @t107 @t2) @t35))) % 0.31/0.79 (assume @p257 (forall @t316 (not @t385))) % 0.31/0.79 (assume @p258 (forall @t198 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat)))) % 0.31/0.79 (assume @p259 (forall @t205 (or @t153 @t386))) % 0.31/0.79 (assume @p260 (forall @t205 (or @t387 @t386))) % 0.31/0.79 (assume @p261 (forall @t205 (or @t156 @t386))) % 0.31/0.79 (assume @p262 (forall @t22 (or @t21 (tptp.c_HOL_Oord__class_Oless @t12 @t20 @t11) @t350 @t158))) % 0.31/0.79 (assume @p263 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t64 @t174 @t11) @t65))) % 0.31/0.79 (assume @p264 (forall @t389 (or @t347 @t151 @t154 @t388))) % 0.31/0.79 (assume @p265 (forall @t166 (or @t387 @t388 @t151 @t154))) % 0.31/0.79 (assume @p266 (forall @t391 (or @t388 @t390 @t100))) % 0.31/0.79 (assume @p267 (forall @t392 (or @t390 @t388 @t100))) % 0.31/0.79 (assume @p268 (forall @t10 (or @t84 @t393 @t216))) % 0.31/0.79 (assume @p269 (forall @t8 (or @t394 @t34 @t84))) % 0.31/0.79 (assume @p270 (forall (@list @t320 @t1 @t2) (or (tptp.hBOOL (tptp.hAPP @t395 @t2)) @t394 @t84 @t34))) % 0.31/0.79 (assume @p271 (forall @t391 (or @t388 @t100 @t390))) % 0.31/0.79 (assume @p272 (forall @t398 (or @t397 @t364 @t396))) % 0.31/0.79 (assume @p273 (forall @t398 (or @t397 @t396 @t364))) % 0.31/0.79 (assume @p274 (forall @t392 (or (tptp.c_HOL_Oord__class_Oless @t98 @t99 tptp.tc_nat) @t228 @t388))) % 0.31/0.79 (assume @p275 (forall @t389 (or @t387 @t151 @t154 @t388))) % 0.31/0.79 (assume @p276 (forall @t389 (or @t387 @t151 @t388 @t154))) % 0.31/0.79 (assume @p277 (forall @t166 (or @t387 @t388 @t154 @t151))) % 0.31/0.79 (assume @p278 (forall @t8 (or @t393 @t35 @t180))) % 0.31/0.79 (assume @p279 (forall @t368 (or @t399 (tptp.c_HOL_Oord__class_Oless @t139 @t274 @t11) (not (tptp.c_HOL_Oord__class_Oless @t28 @t134 @t11)) @t292))) % 0.31/0.79 (assume @p280 (forall (@list @t48 @t36 @t44 @t246) (or (tptp.c_HOL_Oord__class_Oless @t400 (tptp.hAPP @t46 @t246) tptp.tc_nat) @t247 @t232))) % 0.31/0.79 (assume @p281 (forall @t210 (or @t133 @t261 @t266 @t24))) % 0.31/0.79 (assume @p282 (forall @t33 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t13 @t11)))) % 0.31/0.79 (assume @p283 (forall @t316 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t99 @t99 tptp.tc_nat))) % 0.31/0.79 (assume @p284 (forall @t402 (or @t401 @t104 @t103 @t101 @t100))) % 0.31/0.79 (assume @p285 (forall @t402 (or @t401 @t103 @t100))) % 0.31/0.79 (assume @p286 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t64 @t161 @t11) @t65))) % 0.31/0.79 (assume @p287 (forall @t200 (or @t68 @t403 @t35))) % 0.31/0.79 (assume @p288 (forall @t200 (or @t68 @t34 (not @t403)))) % 0.31/0.79 (assume @p289 (forall @t22 (or @t185 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t333 (tptp.c_HOL_Otimes__class_Otimes @t16 @t12 @t11) @t11)))) % 0.31/0.79 (assume @p290 (forall @t22 (or @t185 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t331 @t335 @t11)))) % 0.31/0.79 (assume @p291 (forall @t10 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t405 @t404 tptp.tc_nat))) % 0.31/0.79 (assume @p292 (forall @t87 (or @t68 (tptp.c_HOL_Oord__class_Oless @t12 @t64 @t11)))) % 0.31/0.79 (assume @p293 (forall @t296 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t13 @t16 tptp.tc_nat) @t28 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t13 @t295 tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t13 @t294 tptp.tc_nat) @t28 tptp.tc_nat))))) % 0.31/0.79 (assume @p294 (forall @t42 (or @t34 @t78))) % 0.31/0.79 (assume @p295 (forall @t42 (or @t34 @t83))) % 0.31/0.79 (assume @p296 (forall @t41 (or @t217 @t216 @t85))) % 0.31/0.79 (assume @p297 (forall @t42 (or @t215 @t310 @t85))) % 0.31/0.79 (assume @p298 (forall @t42 (or @t215 @t85 @t310))) % 0.31/0.79 (assume @p299 (forall @t33 (or @t68 (tptp.c_HOL_Oord__class_Oless @t13 @t380 @t11)))) % 0.31/0.79 (assume @p300 (forall @t10 (or (tptp.c_HOL_Oord__class_Oless @t267 @t2 tptp.tc_nat) @t180 (not (tptp.c_HOL_Oord__class_Oless @t43 @t1 tptp.tc_nat))))) % 0.31/0.79 (assume @p301 (forall @t166 (or @t406 (= (tptp.c_HOL_Otimes__class_Otimes @t99 @t165 @t11) @t165)))) % 0.31/0.79 (assume @p302 (forall (@list @t11 @t99 @t98 @t362 @t102) (or @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t355 (tptp.c_Divides_Odiv__class_Odiv @t362 @t102 @t11) @t11) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t99 @t362 @t11) @t407 @t11)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t362 @t11)) @t354))) % 0.31/0.79 (assume @p303 (forall (@list @t99 @t1 @t409 @t98 @t408) (or (not (= (tptp.hAPP @t144 (tptp.c_HOL_Otimes__class_Otimes @t1 @t409 tptp.tc_nat)) (tptp.hAPP @t146 (tptp.c_HOL_Otimes__class_Otimes @t1 @t408 tptp.tc_nat)))) (= (tptp.c_Divides_Odiv__class_Omod @t99 @t1 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t98 @t1 tptp.tc_nat))))) % 0.31/0.79 (assume @p304 (forall @t110 (or @t68 @t410 @t66))) % 0.31/0.79 (assume @p305 (forall @t110 (or @t68 @t7 (not @t410)))) % 0.31/0.79 (assume @p306 (forall @t33 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t64 @t13 @t11)))) % 0.31/0.79 (assume @p307 (forall (@list @t11 @t99 @t13) (or @t185 @t184 (not (= @t99 (tptp.hAPP @t116 @t13))) @t201))) % 0.31/0.79 (assume @p308 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t13 @t11) @t12)))) % 0.31/0.79 (assume @p309 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t12 @t11) @t13)))) % 0.31/0.79 (assume @p310 (forall @t33 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t13 @t11) @t12)))) % 0.31/0.79 (assume @p311 (forall @t87 (or @t326 (= (tptp.hAPP @t411 @t12) @t12)))) % 0.31/0.79 (assume @p312 (forall @t87 (or @t330 (not (= @t12 @t64))))) % 0.31/0.79 (assume @p313 (forall @t33 (or @t133 @t201 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t13 @t11))))) % 0.31/0.79 (assume @p314 (forall @t205 (or @t133 (= (tptp.hAPP @t411 @t99) @t99)))) % 0.31/0.79 (assume @p315 (forall @t33 (or @t141 @t412))) % 0.31/0.79 (assume @p316 (forall @t205 (or @t185 @t184 (= @t99 (tptp.hAPP @t116 @t12))))) % 0.31/0.79 (assume @p317 (forall @t33 (or @t141 @t413))) % 0.31/0.79 (assume @p318 (forall @t33 (or @t414 @t412))) % 0.31/0.79 (assume @p319 (forall @t33 (or @t414 @t413))) % 0.31/0.79 (assume @p320 (forall @t33 (or @t133 @t413))) % 0.31/0.79 (assume @p321 (forall @t33 (or @t133 @t412))) % 0.31/0.79 (assume @p322 (forall @t87 (or @t415 @t175 (= (tptp.c_Power_Opower__class_Opower @t12 @t4 @t11) @t64)))) % 0.31/0.79 (assume @p323 (forall @t418 (or (not @t417) @t416))) % 0.31/0.79 (assume @p324 (forall @t418 (or (not @t416) @t417))) % 0.31/0.79 (assume @p325 (forall @t10 (= @t419 (tptp.c_HOL_Otimes__class_Otimes @t1 @t4 tptp.tc_nat)))) % 0.31/0.79 (assume @p326 (forall @t10 (= @t405 @t404))) % 0.31/0.79 (assume @p327 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t320 @t422)) @t421))) % 0.31/0.79 (assume @p328 (forall @t428 (or @t420 (not (tptp.hBOOL (tptp.hAPP @t320 @t427))) @t426))) % 0.31/0.79 (assume @p329 (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 tptp.tc_nat))) % 0.31/0.79 (assume @p330 (forall (@list @t320 @t2) (or (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Divides_Odiv__class_Odiv @t2 @t4 tptp.tc_nat))) @t421))) % 0.31/0.79 (assume @p331 (forall @t418 (or @t421 @t429))) % 0.31/0.79 (assume @p332 (forall @t418 (or (not @t429) @t420))) % 0.31/0.79 (assume @p333 (forall @t198 (or @t7 @t430))) % 0.31/0.79 (assume @p334 (forall @t418 (or @t417 (tptp.hBOOL (tptp.hAPP @t320 @t431)) @t421))) % 0.31/0.79 (assume @p335 (forall @t181 (= @t419 @t4))) % 0.31/0.79 (assume @p336 (forall @t198 (= @t404 @t4))) % 0.31/0.79 (assume @p337 (forall @t10 (or (not (= @t3 @t4)) @t430 @t370))) % 0.31/0.79 (assume @p338 (forall @t10 (or @t432 @t430))) % 0.31/0.79 (assume @p339 (forall @t10 (or @t432 @t370))) % 0.31/0.79 (assume @p340 (forall @t251 (or (not (= @t81 @t80)) @t298 @t84))) % 0.31/0.79 (assume @p341 (forall @t41 (or @t86 @t298 @t84))) % 0.31/0.79 (assume @p342 (forall @t41 (or @t86 @t84 @t298))) % 0.31/0.79 (assume @p343 (forall (@list @t99 @t13) (or (not (= @t99 (tptp.hAPP @t144 @t13))) (= @t13 @t4)))) % 0.31/0.79 (assume @p344 (forall @t10 (or (not (= @t124 @t2)) @t430))) % 0.31/0.79 (assume @p345 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t320 @t433)) @t421))) % 0.31/0.79 (assume @p346 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t320 @t434)) @t421))) % 0.31/0.79 (assume @p347 (= (tptp.hAPP @t435 @t4) @t4)) % 0.31/0.79 (assume @p348 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t320 @t436)) @t421))) % 0.31/0.79 (assume @p349 (forall @t181 (not (tptp.c_HOL_Oord__class_Oless @t2 @t4 tptp.tc_nat)))) % 0.31/0.79 (assume @p350 (forall @t198 (not (tptp.c_HOL_Oord__class_Oless @t1 @t4 tptp.tc_nat)))) % 0.31/0.79 (assume @p351 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t320 @t437)) @t421))) % 0.31/0.79 (assume @p352 (forall @t316 (= @t99 (tptp.hAPP @t144 @t4)))) % 0.31/0.79 (assume @p353 (forall @t198 (= (tptp.hAPP @t435 @t1) @t1))) % 0.31/0.79 (assume @p354 (forall @t181 (= (tptp.hAPP @t123 @t4) @t2))) % 0.31/0.79 (assume @p355 (forall @t8 (or (tptp.c_HOL_Oord__class_Oless @t1 @t164 tptp.tc_nat) @t439 @t438))) % 0.31/0.79 (assume @p356 (forall @t8 (or (tptp.c_HOL_Oord__class_Oless @t1 @t3 tptp.tc_nat) @t439 @t438))) % 0.31/0.79 (assume @p357 (forall @t10 (or (tptp.c_HOL_Oord__class_Oless @t275 @t3 tptp.tc_nat) @t439 @t438))) % 0.31/0.79 (assume @p358 (forall @t41 (or (not (= @t39 @t38)) @t84))) % 0.31/0.79 (assume @p359 (forall @t10 (or @t440 @t35))) % 0.31/0.79 (assume @p360 (forall @t10 (or @t34 (not @t441)))) % 0.31/0.79 (assume @p361 (forall @t10 (= @t361 (tptp.c_Divides_Odiv__class_Omod @t442 @t1 tptp.tc_nat)))) % 0.31/0.79 (assume @p362 (forall @t231 (or (tptp.c_HOL_Oord__class_Oless @t443 @t36 tptp.tc_nat) @t322 @t232))) % 0.31/0.79 (assume @p363 (forall @t316 @t445)) % 0.31/0.79 (assume @p364 (forall @t198 (tptp.c_HOL_Oord__class_Oless @t1 @t160 tptp.tc_nat))) % 0.31/0.79 (assume @p365 (forall @t8 (or (= @t1 @t2) @t447 @t394))) % 0.31/0.79 (assume @p366 (forall @t10 (or @t84 @t447 @t394))) % 0.31/0.79 (assume @p367 (forall @t10 (or @t84 @t34 (not @t440)))) % 0.31/0.79 (assume @p368 (forall @t10 (= @t449 @t448))) % 0.31/0.79 (assume @p369 (forall @t10 (= @t450 @t448))) % 0.31/0.79 (assume @p370 (forall @t10 (or (= @t361 @t442) @t451))) % 0.31/0.79 (assume @p371 (forall @t10 (= @t449 @t450))) % 0.31/0.79 (assume @p372 (forall @t10 (or @t441 (= @t72 @t1) @t35))) % 0.31/0.79 (assume @p373 (forall @t316 (or @t385 @t445))) % 0.31/0.79 (assume @p374 (forall @t10 (or @t35 @t447))) % 0.31/0.79 (assume @p375 (forall @t8 (or @t446 @t34))) % 0.31/0.79 (assume @p376 (forall @t353 (or (tptp.c_HOL_Oord__class_Oless @t444 @t160 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t99 @t1 tptp.tc_nat))))) % 0.31/0.79 (assume @p377 (forall @t10 (or @t34 (not @t452)))) % 0.31/0.79 (assume @p378 (forall @t10 (or @t452 @t35))) % 0.31/0.79 (assume @p379 (forall (@list @t454 @t453 @t359) (not (= @t455 @t360)))) % 0.31/0.79 (assume @p380 (forall (@list @t359 @t454 @t453) (not (= @t360 @t455)))) % 0.31/0.79 (assume @p381 (forall (@list @t320 @t197 @t196 @t193 @t408 @t456) (or (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t408) @t456) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t320 (tptp.hAPP (tptp.hAPP @t196 @t408) @t456)))))) % 0.31/0.79 (assume @p382 (forall (@list @t320 @t197 @t196 @t193 @t454 @t453) (or (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 @t455 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t320 @t457))))) % 0.31/0.79 (assume @p383 (forall (@list @t50 @t53 @t36) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t458 @t53)) @t36) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t51 @t36)) @t287)))) % 0.31/0.79 (assume @p384 (forall (@list @t197 @t196 @t193 @t454 @t453 @t11) (= (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 @t455 @t11) @t457))) % 0.31/0.79 (assume @p385 (forall (@list @t61 @t50 @t53) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t459 @t50) (tptp.hAPP @t459 @t53)) @t317))) % 0.31/0.79 (assume @p386 (forall (@list @t50 @t61 @t53) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t458 @t61) @t460) @t317))) % 0.31/0.79 (assume @p387 (forall @t461 (= (tptp.c_Lambda_Osubstn @t460 @t50 @t36) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t53 @t50 @t36)) (tptp.c_Lambda_Osubstn @t61 @t50 @t36))))) % 0.31/0.79 (assume @p388 (forall (@list @t466 @t464 @t462 @t11) (or (not (= @t467 @t206)) @t465))) % 0.31/0.79 (assume @p389 (forall (@list @t11 @t466 @t464 @t462) (or (not (= @t206 @t467)) @t465))) % 0.31/0.79 (assume @p390 (forall (@list @t466 @t462 @t11) (= @t468 @t206))) % 0.31/0.79 (assume @p391 (forall (@list @t11 @t466 @t462) (= @t206 @t468))) % 0.31/0.79 (assume @p392 (forall @t475 (or @t474 @t471))) % 0.31/0.79 (assume @p393 (forall @t477 (= @t473 @t476))) % 0.31/0.79 (assume @p394 (forall @t479 (or @t478 @t471))) % 0.31/0.79 (assume @p395 (forall @t477 (= @t476 @t473))) % 0.31/0.79 (assume @p396 (forall (@list @t466 @t13 @t462 @t11) (= (tptp.c_List_Ofoldl @t466 @t13 @t463 @t11 @t462) @t13))) % 0.31/0.79 (assume @p397 (forall (@list @t11 @t99 @t98 @t480) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t11)) (= (tptp.c_List_Ofoldl @t18 @t150 @t480 @t11 @t11) (tptp.hAPP @t116 (tptp.c_List_Ofoldl @t18 @t98 @t480 @t11 @t11)))))) % 0.31/0.79 (assume @p398 (forall (@list @t285 @t53 @t48 @t50) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t482 @t53) @t48) (tptp.hAPP @t481 @t48)) @t286))) % 0.31/0.79 (assume @p399 (forall (@list @t53 @t36 @t50) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t287) @t50) @t36) @t53))) % 0.31/0.79 (assume @p400 (forall (@list @t60 @t48 @t302 @t484 @t483) (or (tptp.c_Type_Otypings @t486 @t485 @t483) (not (tptp.c_Type_Otypings @t60 @t484 @t483))))) % 0.31/0.79 (assume @p401 (forall (@list @t359 @t423) (not (= @t360 @t487)))) % 0.31/0.79 (assume @p402 (forall (@list @t320 @t197 @t196 @t193 @t488) (or (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 (tptp.c_Lambda_OdB_OVar @t488) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t320 (tptp.hAPP @t197 @t488)))))) % 0.31/0.79 (assume @p403 (forall (@list @t320 @t197 @t196 @t193 @t423) (or (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 @t487 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t320 @t489))))) % 0.31/0.79 (assume @p404 (forall (@list @t48 @t53) (not (tptp.c_Lambda_Obeta @t113 @t53)))) % 0.31/0.79 (assume @p405 (forall (@list @t423 @t359) (not (= @t487 @t360)))) % 0.31/0.79 (assume @p406 (forall (@list @t60 @t48 @t300) (or (= (tptp.hAPP @t60 @t48) @t300) (not (tptp.c_Type_Otyping @t60 @t113 @t300))))) % 0.31/0.79 (assume @p407 (forall @t125 (or @t68 (not (= @t122 @t67)) @t65 @t84))) % 0.31/0.79 (assume @p408 (forall (@list @t177) (= (tptp.c_Power_Opower__class_Opower @t177 @t4 tptp.tc_nat) @t43))) % 0.31/0.79 (assume @p409 (forall @t33 (or @t175 (= @t490 @t64)))) % 0.31/0.79 (assume @p410 (forall @t205 (or @t133 (= (tptp.c_Power_Opower__class_Opower @t99 @t4 @t11) @t64)))) % 0.31/0.79 (assume @p411 (forall @t41 (or @t299 @t85))) % 0.31/0.79 (assume @p412 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t331 @t335 @t11) @t12)))) % 0.31/0.79 (assume @p413 (forall @t10 (= (tptp.c_Divides_Odiv__class_Odiv @t405 @t404 tptp.tc_nat) @t4))) % 0.31/0.79 (assume @p414 (forall @t171 (or @t133 (= @t169 @t170)))) % 0.31/0.79 (assume @p415 (forall @t171 (or @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t168 @t99 @t11) @t170)))) % 0.31/0.79 (assume @p416 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t20 @t16 @t11) @t199)))) % 0.31/0.79 (assume @p417 (forall @t27 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t245 @t16 @t11) @t199)))) % 0.31/0.79 (assume @p418 (forall (@list @t60 @t48 @t300 @t11 @t44) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t60 @t48 @t300 @t11) @t44) (tptp.hAPP @t60 @t44)) @t491))) % 0.31/0.79 (assume @p419 (forall @t27 (or @t293 (tptp.c_HOL_Oord__class_Oless @t162 @t12 @t11) @t17 @t158))) % 0.31/0.79 (assume @p420 (forall @t22 (or @t293 @t492 @t17 @t158))) % 0.31/0.79 (assume @p421 (forall @t22 (or @t293 @t492 @t350 @t15))) % 0.31/0.79 (assume @p422 (forall @t265 (or @t133 @t264 @t493))) % 0.31/0.79 (assume @p423 (forall @t210 (or @t133 @t261 @t493))) % 0.31/0.79 (assume @p424 (forall @t94 (or @t133 @t494 @t24))) % 0.31/0.79 (assume @p425 (forall @t94 (or @t133 @t494 @t262))) % 0.31/0.79 (assume @p426 (forall @t496 (or @t141 (= @t495 @t12) (not @t394)))) % 0.31/0.79 (assume @p427 (forall @t31 (or @t68 (tptp.c_HOL_Oord__class_Oless @t16 @t139 @t11) (not (tptp.c_HOL_Oord__class_Oless @t16 @t28 @t11)) @t158))) % 0.31/0.79 (assume @p428 (forall @t296 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t369 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t16 (tptp.c_Divides_Odiv__class_Omod @t497 @t28 tptp.tc_nat) tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod @t13 @t16 tptp.tc_nat))))) % 0.31/0.79 (assume @p429 (forall @t94 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t199 @t28 @t11) @t95) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t28 @t16 @t11))))) % 0.31/0.79 (assume @p430 (forall (@list @t320 @t197 @t196 @t193 @t192) (or (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 @t195 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t320 @t194))))) % 0.31/0.79 (assume @p431 (forall (@list @t320 @t197 @t196 @t193 @t409) (or (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 (tptp.c_Lambda_OdB_OAbs @t409) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t320 (tptp.hAPP @t193 @t409)))))) % 0.31/0.79 (assume @p432 (forall (@list @t11 @t16 @t99 @t98) (or @t68 @t499 @t229 @t498))) % 0.31/0.79 (assume @p433 (forall (@list @t11 @t99 @t98 @t16) (or @t68 @t228 (not @t499) @t498))) % 0.31/0.79 (assume @p434 (forall (@list @t11 @t13 @t1 @t225) (or @t68 (tptp.c_HOL_Oord__class_Oless @t67 @t227 @t11) @t65 @t226))) % 0.31/0.79 (assume @p435 (forall (@list @t11 @t2 @t1 @t13) (or @t68 @t34 (not (tptp.c_HOL_Oord__class_Oless @t122 @t67 @t11)) @t65))) % 0.31/0.79 (assume @p436 (forall @t500 (not (tptp.c_HOL_Oord__class_Oless @t63 @t48 tptp.tc_nat)))) % 0.31/0.79 (assume @p437 (forall (@list @t44 @t48) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t46 @t48) @t48 tptp.tc_nat)))) % 0.31/0.79 (assume @p438 (forall @t69 (or @t68 (tptp.c_HOL_Oord__class_Oless @t67 @t174 @t11) @t65))) % 0.31/0.79 (assume @p439 (forall @t296 (= (tptp.c_Divides_Odiv__class_Odiv @t13 @t369 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t497 @t28 tptp.tc_nat)))) % 0.31/0.79 (assume @p440 (forall @t368 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t208 @t366 @t11) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t28 @t134 @t11)) @t24))) % 0.31/0.79 (assume @p441 (forall (@list @t16 @t167 @t28 @t285) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP @t45 (tptp.c_HOL_Otimes__class_Otimes @t16 (tptp.c_Divides_Odiv__class_Omod @t167 @t28 tptp.tc_nat) tptp.tc_nat)) @t285) @t369 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t285 @t16 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t4 @t28 tptp.tc_nat))))) % 0.31/0.79 (assume @p442 (forall (@list @t11 @t99 @t285 @t28 @t134) (or @t185 @t184 (not (= (tptp.hAPP @t116 (tptp.c_HOL_Otimes__class_Otimes @t285 @t28 @t11)) (tptp.hAPP @t116 (tptp.c_HOL_Otimes__class_Otimes @t285 @t134 @t11)))) @t365 (= @t285 @t12)))) % 0.31/0.79 (assume @p443 (forall (@list @t99 @t285 @t28 @t134) (or (not (= (tptp.hAPP @t144 (tptp.c_HOL_Otimes__class_Otimes @t285 @t28 tptp.tc_nat)) (tptp.hAPP @t144 (tptp.c_HOL_Otimes__class_Otimes @t285 @t134 tptp.tc_nat)))) @t365 (= @t285 @t4)))) % 0.31/0.79 (assume @p444 (forall @t166 (or @t32 @t501 @t273))) % 0.31/0.79 (assume @p445 (forall @t166 (or @t32 @t501 @t269))) % 0.31/0.79 (assume @p446 (forall @t173 (or @t133 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t99 @t172 @t11) @t66))) % 0.31/0.79 (assume @p447 (forall @t210 (or @t399 @t502 @t292))) % 0.31/0.79 (assume @p448 (forall @t210 (or @t503 @t502 @t292))) % 0.31/0.79 (assume @p449 (forall @t94 (or @t503 @t281 (not @t502)))) % 0.31/0.79 (assume @p450 (forall @t214 (or @t399 @t504 @t292))) % 0.31/0.79 (assume @p451 (forall @t214 (or @t503 @t504 @t292))) % 0.31/0.79 (assume @p452 (forall @t94 (or @t503 @t281 (not @t504)))) % 0.31/0.79 (assume @p453 (forall @t231 (or (tptp.c_HOL_Oord__class_Oless @t400 (tptp.hAPP @t46 @t36) tptp.tc_nat) @t232))) % 0.31/0.79 (assume @p454 (forall @t42 (or @t34 (not @t505)))) % 0.31/0.79 (assume @p455 (forall @t41 (or @t505 @t35))) % 0.31/0.79 (assume @p456 (forall (@list @t60 @t507 @t300 @t53) (or (tptp.c_Type_Otyping @t60 @t507 @t300) (not (tptp.c_Lambda_Obeta @t53 @t507)) @t506))) % 0.31/0.79 (assume @p457 (forall @t496 (or @t141 (= @t495 (tptp.hAPP (tptp.hAPP @t18 @t508) (tptp.hAPP @t466 @t1))) @t394))) % 0.31/0.79 (assume @p458 (forall @t8 (or @t90 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t2 tptp.tc_nat)) @t180))) % 0.31/0.79 (assume @p459 (forall @t8 (or @t90 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t164 @t2 tptp.tc_nat)) @t180))) % 0.31/0.79 (assume @p460 (forall @t205 (or @t406 (= @t270 @t99)))) % 0.31/0.79 (assume @p461 (forall @t22 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t163 @t16 @t11) @t12)))) % 0.31/0.79 (assume @p462 (forall @t27 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t162 @t16 @t11) @t12)))) % 0.31/0.79 (assume @p463 (forall (@list @t134 @t99) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t134 @t99 tptp.tc_nat) @t134 tptp.tc_nat) @t4))) % 0.31/0.79 (assume @p464 (forall @t181 (or @t88 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t43 tptp.tc_nat))))) % 0.31/0.79 (assume @p465 (forall @t22 (or @t26 (= (tptp.hAPP (tptp.hAPP @t18 @t199) @t222) @t13)))) % 0.31/0.79 (assume @p466 (forall @t87 (or @t32 (= @t314 @t12)))) % 0.31/0.79 (assume @p467 (forall @t214 (or @t32 @t280 @t281 @t284))) % 0.31/0.79 (assume @p468 (forall @t31 (or @t32 @t282 @t279 @t284))) % 0.31/0.79 (assume @p469 (forall @t214 (or @t32 @t280 @t281 @t278))) % 0.31/0.79 (assume @p470 (forall @t31 (or @t32 @t282 @t279 @t278))) % 0.31/0.79 (assume @p471 (forall (@list @t1 @t99) (or @t430 @t351 (not @t352)))) % 0.31/0.79 (assume @p472 (forall @t200 (or @t73 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t124 @t11) (tptp.hAPP (tptp.hAPP @t18 @t70) @t249))))) % 0.31/0.79 (assume @p473 (forall (@list @t11 @t13 @t16 @t1) (or @t204 (= (tptp.c_Power_Opower__class_Opower @t163 @t1 @t11) (tptp.c_HOL_Otimes__class_Otimes @t67 (tptp.c_Power_Opower__class_Opower @t16 @t1 @t11) @t11))))) % 0.31/0.79 (assume @p474 (forall (@list @t11 @t99 @t98 @t167) (or @t133 (= (tptp.c_Power_Opower__class_Opower @t165 @t167 @t11) (tptp.c_HOL_Otimes__class_Otimes @t168 (tptp.c_Power_Opower__class_Opower @t98 @t167 @t11) @t11))))) % 0.31/0.79 (assume @p475 (forall @t210 (or @t26 (= @t97 @t93)))) % 0.31/0.79 (assume @p476 (forall @t94 (or @t26 (= @t92 @t93)))) % 0.31/0.79 (assume @p477 (forall @t496 (or @t141 (= @t508 (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t466 @t2)) (tptp.c_Finite__Set_Osetsum @t466 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t72 @t1 tptp.tc_nat) tptp.tc_nat @t11))) @t35))) % 0.31/0.79 (assume @p478 (forall @t125 (or @t109 (= (tptp.c_Power_Opower__class_Opower @t13 @t3 @t11) (tptp.c_Power_Opower__class_Opower @t122 @t1 @t11))))) % 0.31/0.79 (assume @p479 (forall @t27 (or @t26 (= @t221 @t13)))) % 0.31/0.79 (assume @p480 (forall @t22 (or @t26 (= @t223 @t13)))) % 0.31/0.79 (assume @p481 (forall @t22 (or @t26 (= @t13 @t223)))) % 0.31/0.79 (assume @p482 (forall @t210 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t208 @t29 @t11) (tptp.c_HOL_Otimes__class_Otimes @t199 @t28 @t11))))) % 0.31/0.79 (assume @p483 (forall @t214 (or @t26 (= (tptp.c_Divides_Odiv__class_Omod @t212 @t211 @t11) (tptp.c_HOL_Otimes__class_Otimes @t28 @t199 @t11))))) % 0.31/0.79 (assume @p484 (forall (@list @t50 @t36) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t318) @t36) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t51 @t241))))) % 0.31/0.79 (assume @p485 (forall @t276 (= (tptp.c_Lambda_OdB_OdB__size @t195) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Lambda_OdB_OdB__size @t192)) @t275)))) % 0.31/0.79 (assume @p486 (forall @t10 (or @t509 @t88))) % 0.31/0.79 (assume @p487 (forall @t10 (or @t509 @t90))) % 0.31/0.79 (assume @p488 (forall @t94 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t11)) (= (tptp.c_HOL_Otimes__class_Otimes @t163 @t28 @t11) (tptp.c_HOL_Otimes__class_Otimes @t13 @t29 @t11))))) % 0.31/0.79 (assume @p489 (forall @t511 (or @t133 (= @t510 (tptp.c_HOL_Otimes__class_Otimes @t375 @t372 @t11))))) % 0.31/0.79 (assume @p490 (forall @t511 (or @t133 (= @t510 (tptp.c_HOL_Otimes__class_Otimes @t374 (tptp.c_HOL_Otimes__class_Otimes @t372 @t373 @t11) @t11))))) % 0.31/0.79 (assume @p491 (forall @t513 (or @t133 (= @t512 (tptp.c_HOL_Otimes__class_Otimes @t375 @t371 @t11))))) % 0.31/0.79 (assume @p492 (forall @t513 (or @t133 (= @t512 (tptp.c_HOL_Otimes__class_Otimes @t373 (tptp.c_HOL_Otimes__class_Otimes @t374 @t371 @t11) @t11))))) % 0.31/0.79 (assume @p493 (forall @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t36 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t2 @t80 tptp.tc_nat)))) % 0.31/0.79 (assume @p494 (forall @t149 (or @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t99 @t407 @t11) (tptp.c_HOL_Otimes__class_Otimes @t165 @t102 @t11))))) % 0.31/0.79 (assume @p495 (forall @t94 (or @t133 @t514))) % 0.31/0.79 (assume @p496 (forall @t94 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t11)) @t514))) % 0.31/0.79 (assume @p497 (forall @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t124 @t36 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t45 @t81) @t80)))) % 0.31/0.79 (assume @p498 (forall @t41 (= (tptp.c_HOL_Otimes__class_Otimes @t36 @t124 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t45 @t76) @t75)))) % 0.31/0.79 (assume @p499 (forall @t149 (or @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t99 @t119 @t11) @t183)))) % 0.31/0.79 (assume @p500 (forall (@list @t60 @t48 @t302 @t53 @t300) (or (tptp.c_Type_Otyping @t486 @t55 @t300) @t506))) % 0.31/0.79 (assume @p501 (forall @t22 (or @t153 @t292 @t290))) % 0.31/0.79 (assume @p502 (forall @t166 (or @t387 @t155 @t152))) % 0.31/0.79 (assume @p503 (forall @t402 (or @t401 @t104 @t103 @t100))) % 0.31/0.79 (assume @p504 (forall @t402 (or @t401 @t103 @t101 @t100))) % 0.31/0.79 (assume @p505 (forall @t389 (or @t156 @t152 @t155))) % 0.31/0.79 (assume @p506 (forall @t27 (or @t156 @t290 @t292))) % 0.31/0.79 (assume @p507 (forall (@list @t197 @t196 @t193 @t423 @t11) (= (tptp.c_Lambda_OdB_OdB__case @t197 @t196 @t193 @t487 @t11) @t489))) % 0.31/0.79 (assume @p508 (forall (@list @t515 @t99) (tptp.c_Type_Otyping @t515 @t516 (tptp.hAPP @t515 @t99)))) % 0.31/0.79 (assume @p509 (forall (@list @t53 @t48) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t55)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t53)))))) % 0.31/0.79 (assume @p510 (forall @t477 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t473)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t285)))))) % 0.31/0.79 (assume @p511 (forall (@list @t11 @t466 @t36) (or @t141 (not (= (tptp.hAPP @t466 @t4) @t12)) (= (tptp.c_Finite__Set_Osetsum @t466 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t275 @t36 tptp.tc_nat) tptp.tc_nat @t11) (tptp.c_Finite__Set_Osetsum @t466 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t4 @t36 tptp.tc_nat) tptp.tc_nat @t11))))) % 0.31/0.79 (assume @p512 (forall @t517 (= (tptp.c_Lambda_OdB_OdB__size @t455) (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Lambda_OdB_OdB__size @t454)) (tptp.c_Lambda_OdB_OdB__size @t453))) @t275)))) % 0.31/0.79 (assume @p513 (forall @t517 (= (tptp.c_Nat_Osize__class_Osize @t455 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Nat_Osize__class_Osize @t454 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t453 tptp.tc_Lambda_OdB))) @t275)))) % 0.31/0.79 (assume @p514 (forall @t319 (tptp.c_Lambda_Obeta @t518 (tptp.hAPP @t481 @t4)))) % 0.31/0.79 (assume @p515 (forall (@list @t257 @t1 @t519) (or (= @t257 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t520 (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t1 @t519 @t257) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_Lambda_Obeta @t521 @t257))))) % 0.31/0.79 (assume @p516 (forall @t110 (or @t330 @t329 @t328 @t175 @t522 @t430))) % 0.31/0.79 (assume @p517 (forall @t110 (or @t415 @t175 @t522 @t430))) % 0.31/0.79 (assume @p518 (forall @t33 (or @t330 @t329 @t328 @t175 (not (= @t490 @t12))))) % 0.31/0.79 (assume @p519 (forall @t87 (or @t73 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t4 @t11) @t12)))) % 0.31/0.79 (assume @p520 (forall @t110 (or @t415 @t175 (= (tptp.c_Power_Opower__class_Opower @t12 @t160 @t11) @t12)))) % 0.31/0.79 (assume @p521 (forall (@list @t98) (or (= @t98 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 @t98))) (= @t98 @t4)))) % 0.31/0.79 (assume @p522 (forall @t10 (or @t523 @t370 @t430))) % 0.31/0.79 (assume @p523 (forall @t10 (or @t523 @t525 @t524))) % 0.31/0.79 (assume @p524 (= @t526 @t275)) % 0.31/0.79 (assume @p525 (forall @t428 (or @t420 (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t427))) @t426))) % 0.31/0.79 (assume @p526 (forall (@list @t99 @t2) (or (not (= (tptp.c_Power_Opower__class_Opower @t99 @t2 tptp.tc_nat) @t275)) (= @t99 @t275) @t370))) % 0.31/0.79 (assume @p527 (= @t275 @t527)) % 0.31/0.79 (assume @p528 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t422)))) @t421))) % 0.31/0.79 (assume @p529 (forall @t181 (= (tptp.c_Divides_Odiv__class_Omod @t2 @t275 tptp.tc_nat) @t4))) % 0.31/0.79 (assume @p530 (= (tptp.c_HOL_Otimes__class_Otimes @t275 @t275 tptp.tc_nat) @t275)) % 0.31/0.79 (assume @p531 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t275 @t275 tptp.tc_nat)) % 0.31/0.79 (assume @p532 (forall @t10 (or @t528 @t370 @t430))) % 0.31/0.79 (assume @p533 (forall @t10 (or @t528 @t525 @t524))) % 0.31/0.79 (assume @p534 (tptp.c_HOL_Oord__class_Oless @t4 @t275 tptp.tc_nat)) % 0.31/0.79 (assume @p535 (= @t43 @t275)) % 0.31/0.79 (assume @p536 (forall (@list @t60 @t48 @t302 @t11 @t300) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t60 @t48 @t302 @t11) @t4 @t300 @t11) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t60 @t4 @t300 @t11) @t443 @t302 @t11)))) % 0.31/0.79 (assume @p537 (forall @t418 (or @t417 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t431)))) @t421))) % 0.31/0.79 (assume @p538 (forall @t10 (or @t529 @t525))) % 0.31/0.79 (assume @p539 (forall @t10 (or @t529 @t524))) % 0.31/0.79 (assume @p540 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t433)))) @t421))) % 0.31/0.79 (assume @p541 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t437)))) @t421))) % 0.31/0.79 (assume @p542 (forall (@list @t257) (or (= @t257 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 @t257))) (= @t257 @t4)))) % 0.31/0.79 (assume @p543 (forall @t316 (= @t315 @t275))) % 0.31/0.79 (assume @p544 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t436)))) @t421))) % 0.31/0.79 (assume @p545 (= @t527 @t275)) % 0.31/0.79 (assume @p546 (forall @t198 (or @t430 (not (tptp.c_HOL_Oord__class_Oless @t1 @t275 tptp.tc_nat))))) % 0.31/0.79 (assume @p547 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Suc @t434)))) @t421))) % 0.31/0.79 (assume @p548 (forall @t198 (or (= @t1 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 @t1))) @t430))) % 0.31/0.79 (assume @p549 (forall (@list @t36) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t275 @t36 tptp.tc_nat))) % 0.31/0.79 (assume @p550 (= @t275 @t526)) % 0.31/0.79 (assume @p551 (forall @t10 (or @t528 @t525 @t430))) % 0.31/0.79 (assume @p552 (forall @t10 (or @t528 @t370 @t524))) % 0.31/0.79 (assume @p553 (forall @t198 (tptp.c_HOL_Oord__class_Oless @t4 @t160 tptp.tc_nat))) % 0.31/0.79 (assume @p554 (forall @t316 (tptp.c_HOL_Oord__class_Oless @t4 @t444 tptp.tc_nat))) % 0.31/0.79 (assume @p555 (forall @t10 (or (not @t451) (= @t361 @t4)))) % 0.31/0.79 (assume @p556 (forall @t10 (or @t523 @t525 @t430))) % 0.31/0.79 (assume @p557 (forall @t10 (or @t523 @t370 @t524))) % 0.31/0.79 (assume @p558 (forall @t181 (= (tptp.c_Power_Opower__class_Opower @t275 @t2 tptp.tc_nat) @t275))) % 0.31/0.79 (assume @p559 (forall @t198 (= (tptp.c_Power_Opower__class_Opower @t275 @t1 tptp.tc_nat) @t275))) % 0.31/0.79 (assume @p560 (forall @t181 (or @t524 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t275 tptp.tc_nat))))) % 0.31/0.79 (assume @p561 (forall @t181 (= (tptp.c_Divides_Odiv__class_Odiv @t2 @t275 tptp.tc_nat) @t2))) % 0.31/0.79 (assume @p562 (forall (@list @t11 @t99 @t480) (or @t414 (= (tptp.hAPP @t116 (tptp.c_List_Ofoldl @t18 @t12 @t480 @t11 @t11)) (tptp.c_List_Ofoldl @t18 @t99 @t480 @t11 @t11))))) % 0.31/0.79 (assume @p563 (forall (@list @t53 @t50) (= (tptp.c_Lambda_Osubstn @t53 @t50 @t4) (tptp.hAPP @t57 @t4)))) % 0.31/0.79 (assume @p564 (forall @t530 (= (tptp.c_Nat_Osize__class_Osize @t487 tptp.tc_Lambda_OdB) @t4))) % 0.31/0.79 (assume @p565 (forall @t530 (= (tptp.c_Lambda_OdB_OdB__size @t487) @t4))) % 0.31/0.79 (assume @p566 (forall (@list @t285 @t50) (= @t531 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t531 @t469 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (assume @p567 (forall (@list @t285 @t50 @t53) (or (not (= @t531 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t53 @t469 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t531 @t53)))) % 0.31/0.79 (assume @p568 (forall @t479 (or @t478 (= @t50 @t473)))) % 0.31/0.79 (assume @p569 (forall @t534 (or @t533 @t532))) % 0.31/0.79 (assume @p570 (forall @t534 (or @t533 @t535))) % 0.31/0.79 (assume @p571 (forall (@list @t285 @t470 @t50) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t285 @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t472) @t286))) % 0.31/0.79 (assume @p572 (forall @t475 (or @t474 (= @t473 @t50)))) % 0.31/0.79 (assume @p573 (forall (@list @t60 @t61 @t48 @t484 @t483 @t300) (or (tptp.c_Type_Otypings @t60 @t537 @t483) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t60 @t48 @t300 tptp.tc_Type_Otype) @t484 @t483)) (not (tptp.c_Type_Otyping @t60 @t61 @t300))))) % 0.31/0.79 (assume @p574 (forall (@list @t44 @t61 @t48) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t538) @t61) @t48) @t538) @t491))) % 0.31/0.79 (assume @p575 (forall @t358 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t113) @t50) @t36) @t113) @t357 @t356))) % 0.31/0.79 (assume @p576 (forall (@list @t99 @t50) (or @t385 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t516) @t50) @t99) @t50)))) % 0.31/0.79 (assume @p577 (forall (@list @t484) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t4 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t484 tptp.tc_Lambda_OdB))))) % 0.31/0.79 (assume @p578 (forall (@list @t300 @t302 @t60 @t48 @t484) (or (= @t300 @t302) (not (tptp.c_Type_Otyping @t60 @t539 @t302)) (not (tptp.c_Type_Otyping @t60 @t539 @t300))))) % 0.31/0.79 (assume @p579 (forall (@list @t1 @t484 @t285 @t470) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t520 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t473 @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.31/0.79 (assume @p580 (forall @t181 (= @t540 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t540 @t469 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (assume @p581 (forall @t542 (or @t541 @t471))) % 0.31/0.79 (assume @p582 (forall (@list @t50 @t53 @t1 @t470) (not (= @t518 @t543)))) % 0.31/0.79 (assume @p583 (forall (@list @t1 @t519) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t521)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t519 tptp.tc_Lambda_OdB))))) % 0.31/0.79 (assume @p584 (forall @t475 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t473) @t50) @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t50))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t482 @t50) @t4) @t470 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.31/0.79 (assume @p585 (forall (@list @t53 @t484 @t48) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t544) @t48) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t55 @t485 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (assume @p586 (forall @t461 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t460) @t50) @t36) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t57 @t36)) (tptp.hAPP (tptp.hAPP @t259 @t50) @t36))))) % 0.31/0.79 (assume @p587 (forall @t547 (or (not (= @t487 (tptp.c_Lambda_OdB_OVar @t545))) @t546))) % 0.31/0.79 (assume @p588 (forall @t549 (or @t548 @t84))) % 0.31/0.79 (assume @p589 (forall @t549 (or @t548 @t535))) % 0.31/0.79 (assume @p590 (forall (@list @t36 @t61) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t36)) @t61) @t36) @t61))) % 0.31/0.79 (assume @p591 (forall @t198 (not (= @t1 @t160)))) % 0.31/0.79 (assume @p592 (forall @t198 (not (= @t160 @t1)))) % 0.31/0.79 (assume @p593 (forall @t181 (not (= @t72 @t4)))) % 0.31/0.79 (assume @p594 (forall @t551 (not (= @t550 @t4)))) % 0.31/0.79 (assume @p595 (forall @t556 (or @t555 (= @t454 @t552)))) % 0.31/0.79 (assume @p596 (forall @t556 (or @t555 (= @t453 @t553)))) % 0.31/0.79 (assume @p597 (forall @t542 (or @t541 (= @t540 @t50)))) % 0.31/0.79 (assume @p598 (forall (@list @t423 @t552 @t553) (not (= @t487 @t554)))) % 0.31/0.79 (assume @p599 (forall @t547 (or (not (= (tptp.c_Suc @t423) @t550)) @t546))) % 0.31/0.79 (assume @p600 (forall @t391 (or (not (= @t444 (tptp.c_Suc @t98))) @t388))) % 0.31/0.79 (assume @p601 (forall (@list @t53 @t484 @t61 @t48) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t544) @t61) @t48) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t258 @t537 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (assume @p602 (forall @t181 (not (= @t4 @t72)))) % 0.31/0.79 (assume @p603 (forall @t551 (not (= @t4 @t550)))) % 0.31/0.79 (assume @p604 (forall (@list @t320 @t557 @t462 @t559 @t11 @t558) (= (tptp.hAPP (tptp.c_COMBC @t320 @t557 @t462 @t559 @t11) @t558) (tptp.hAPP (tptp.hAPP @t320 @t558) @t557)))) % 0.31/0.79 (assume @p605 (forall (@list @t285 @t484 @t50) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t285 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t50 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t532))) % 0.31/0.79 (assume @p606 (forall (@list @t552 @t553 @t423) (not (= @t554 @t487)))) % 0.31/0.79 (assume @p607 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t560 tptp.v_s) @t4) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.79 (assume @p608 @t563) % 0.31/0.79 (assume @p609 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_s))) % 0.31/0.79 (assume @p610 (forall @t500 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t562)))) % 0.31/0.79 (assume @p611 (not @t565)) % 0.31/0.79 (assume @p612 (forall @t569 (or (tptp.class_Orderings_Opreorder @t568) (not (tptp.class_Orderings_Opreorder @t566))))) % 0.31/0.79 (assume @p613 (forall @t569 (or (tptp.class_Orderings_Oorder @t568) (not (tptp.class_Orderings_Oorder @t566))))) % 0.31/0.79 (assume @p614 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.31/0.79 (assume @p615 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.31/0.79 (assume @p616 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.31/0.79 (assume @p617 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.31/0.79 (assume @p618 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.31/0.79 (assume @p619 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.31/0.79 (assume @p620 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.31/0.79 (assume @p621 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.31/0.79 (assume @p622 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.31/0.79 (assume @p623 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.31/0.79 (assume @p624 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.31/0.79 (assume @p625 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.31/0.79 (assume @p626 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.31/0.79 (assume @p627 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.31/0.79 (assume @p628 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.31/0.79 (assume @p629 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.31/0.79 (assume @p630 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.31/0.79 (assume @p631 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.31/0.79 (assume @p632 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.31/0.79 (assume @p633 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.31/0.79 (assume @p634 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.31/0.79 (assume @p635 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.31/0.79 (assume @p636 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.31/0.79 (assume @p637 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.31/0.79 (assume @p638 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.31/0.79 (assume @p639 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 0.31/0.79 (assume @p640 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.31/0.79 (assume @p641 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.31/0.79 (assume @p642 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.31/0.79 (assume @p643 (tptp.class_Power_Opower tptp.tc_nat)) % 0.31/0.79 (assume @p644 (forall (@list @t320 @t557 @t558 @t462 @t11 @t559) (= (tptp.c_COMBB @t320 @t557 @t558 @t462 @t11 @t559) (tptp.hAPP @t320 (tptp.hAPP @t557 @t558))))) % 0.31/0.79 (assume @p645 (forall (@list @t99 @t11) (tptp.c_fequal @t99 @t99 @t11))) % 0.31/0.79 (assume @p646 (forall (@list @t571 @t570 @t11) (or (= @t571 @t570) (not (tptp.c_fequal @t571 @t570 @t11))))) % 0.31/0.79 (assume-push @p654 @t563) % 0.31/0.79 (step @p648 :rule instantiate :premises (@p608) :args ((@list tptp.v_ia tptp.v_ja))) % 0.31/0.79 (step-pop @p655 :rule scope :premises (@p648)) % 0.31/0.79 (step @p649 :rule process_scope :premises (@p655) :args (@t565)) % 0.31/0.79 (step @p651 :rule implies_elim :premises (@p649)) % 0.31/0.79 (step @p652 :rule reordering :premises (@p651) :args ((or @t565 (not @t563)))) % 0.31/0.79 (step @p653 false :rule chain_m_resolution :premises (@p652 @p611 @p608) :args (false (@list true false) (@list @t565 @t563))) % 0.31/0.79 ) % 0.31/0.79 % SZS output end Proof % 0.31/0.79 % cvc5 exiting %------------------------------------------------------------------------------