%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL837-1 : 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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:00 AM UTC 2026 % Result : Unsatisfiable 0.94s 1.21s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL837-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.39 % Computer : n003.cluster.edu % 0.14/0.39 % Model : x86_64 x86_64 % 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.39 % Memory : 8046.5625MB % 0.14/0.39 % OS : Linux 6.8.0-71-generic % 0.14/0.39 % CPULimit : 300 % 0.14/0.39 % WCLimit : 300 % 0.14/0.39 % DateTime : Sat Sep 5 09:30:50 UTC 2026 % 0.14/0.39 % CPUTime : % 0.37/0.65 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.21 % SZS status Unsatisfiable % 0.94/1.21 % SZS output start Proof % 0.94/1.26 ( % 0.94/1.26 (declare-sort $$unsorted 0) % 0.94/1.26 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.v_r____ $$unsorted) % 0.94/1.26 (declare-const tptp.v_as____ $$unsorted) % 0.94/1.26 (declare-const tptp.v_T_H____ $$unsorted) % 0.94/1.26 (declare-const tptp.v_a____ $$unsorted) % 0.94/1.26 (declare-const tptp.v_u____ $$unsorted) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.94/1.26 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.94/1.26 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.v_sko__List__Xlexn__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.v_T____ $$unsorted) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.v_i____ $$unsorted) % 0.94/1.26 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.v_ua______ $$unsorted) % 0.94/1.26 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.94/1.26 (declare-const tptp.tc_nat $$unsorted) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.94/1.26 (declare-const tptp.v_e____ $$unsorted) % 0.94/1.26 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.94/1.26 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.94/1.26 (define @t1 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.94/1.26 (define @t2 () (@var "V_m" $$unsorted)) % 0.94/1.26 (define @t3 () (= @t2 @t1)) % 0.94/1.26 (define @t4 () (@var "V_n" $$unsorted)) % 0.94/1.26 (define @t5 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t6 () (not (= @t5 @t1))) % 0.94/1.26 (define @t7 () (@list @t2 @t4)) % 0.94/1.26 (define @t8 () (@var "T_a" $$unsorted)) % 0.94/1.26 (define @t9 () (tptp.c_HOL_Oone__class_Oone @t8)) % 0.94/1.26 (define @t10 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t8))) % 0.94/1.26 (define @t11 () (@list @t8)) % 0.94/1.26 (define @t12 () (= @t2 @t4)) % 0.94/1.26 (define @t13 () (@var "V_k" $$unsorted)) % 0.94/1.26 (define @t14 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.94/1.26 (define @t15 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 tptp.tc_nat)) % 0.94/1.26 (define @t16 () (not @t15)) % 0.94/1.26 (define @t17 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t18 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t2 tptp.tc_nat)) % 0.94/1.26 (define @t19 () (not (= @t18 @t17))) % 0.94/1.26 (define @t20 () (@list @t13 @t2 @t4)) % 0.94/1.26 (define @t21 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t13 tptp.tc_nat)) % 0.94/1.26 (define @t22 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t13 tptp.tc_nat)) % 0.94/1.26 (define @t23 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 tptp.tc_nat)) % 0.94/1.26 (define @t24 () (not @t23)) % 0.94/1.26 (define @t25 () (tptp.c_HOL_Oord__class_Oless @t18 @t17 tptp.tc_nat)) % 0.94/1.26 (define @t26 () (not @t25)) % 0.94/1.26 (define @t27 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t8)) % 0.94/1.26 (define @t28 () (tptp.c_HOL_Oplus__class_Oplus @t8)) % 0.94/1.26 (define @t29 () (tptp.hAPP @t28 @t9)) % 0.94/1.26 (define @t30 () (tptp.c_Suc @t2)) % 0.94/1.26 (define @t31 () (@list @t8 @t2)) % 0.94/1.26 (define @t32 () (@var "V_a" $$unsorted)) % 0.94/1.26 (define @t33 () (not (tptp.c_HOL_Oord__class_Oless @t9 @t32 @t8))) % 0.94/1.26 (define @t34 () (tptp.c_HOL_Oord__class_Oless @t14 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t35 () (not @t34)) % 0.94/1.26 (define @t36 () (tptp.c_Power_Opower__class_Opower @t32 @t4 @t8)) % 0.94/1.26 (define @t37 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t8))) % 0.94/1.26 (define @t38 () (@list @t8 @t32 @t4)) % 0.94/1.26 (define @t39 () (@var "V_u" $$unsorted)) % 0.94/1.26 (define @t40 () (@var "V_j" $$unsorted)) % 0.94/1.26 (define @t41 () (@var "V_i" $$unsorted)) % 0.94/1.26 (define @t42 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.94/1.26 (define @t43 () (tptp.hAPP @t42 @t41)) % 0.94/1.26 (define @t44 () (tptp.hAPP @t43 @t40)) % 0.94/1.26 (define @t45 () (@var "V_c" $$unsorted)) % 0.94/1.26 (define @t46 () (@var "V_e" $$unsorted)) % 0.94/1.26 (define @t47 () (@var "V_b" $$unsorted)) % 0.94/1.26 (define @t48 () (tptp.hAPP @t28 @t32)) % 0.94/1.26 (define @t49 () (tptp.hAPP @t48 @t47)) % 0.94/1.26 (define @t50 () (tptp.hAPP @t42 @t40)) % 0.94/1.26 (define @t51 () (tptp.hAPP @t50 @t1)) % 0.94/1.26 (define @t52 () (not (tptp.c_HOL_Oord__class_Oless @t41 @t51 tptp.tc_nat))) % 0.94/1.26 (define @t53 () (@var "V_s" $$unsorted)) % 0.94/1.26 (define @t54 () (tptp.hAPP tptp.c_Lambda_Olift @t53)) % 0.94/1.26 (define @t55 () (tptp.hAPP @t54 @t41)) % 0.94/1.26 (define @t56 () (@var "V_t" $$unsorted)) % 0.94/1.26 (define @t57 () (tptp.hAPP tptp.c_Lambda_Olift @t56)) % 0.94/1.26 (define @t58 () (tptp.hAPP @t57 @t41)) % 0.94/1.26 (define @t59 () (tptp.hAPP tptp.c_Lambda_Osubst @t56)) % 0.94/1.26 (define @t60 () (tptp.hAPP @t59 @t53)) % 0.94/1.26 (define @t61 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t60 @t40)) @t41)) % 0.94/1.26 (define @t62 () (@list @t56 @t53 @t40 @t41)) % 0.94/1.26 (define @t63 () (@var "V_x" $$unsorted)) % 0.94/1.26 (define @t64 () (@var "V_env" $$unsorted)) % 0.94/1.26 (define @t65 () (tptp.c_Lambda_OdB_OVar @t63)) % 0.94/1.26 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t14 @t5 tptp.tc_nat)) % 0.94/1.26 (define @t67 () (not @t66)) % 0.94/1.26 (define @t68 () (@list @t4 @t2)) % 0.94/1.26 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t14 @t2 tptp.tc_nat)) % 0.94/1.26 (define @t70 () (tptp.c_HOL_Ozero__class_Ozero @t8)) % 0.94/1.26 (define @t71 () (tptp.c_HOL_Oord__class_Oless @t32 @t70 @t8)) % 0.94/1.26 (define @t72 () (not @t71)) % 0.94/1.26 (define @t73 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t70 @t8))) % 0.94/1.26 (define @t74 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t8))) % 0.94/1.26 (define @t75 () (@list @t8 @t32 @t47)) % 0.94/1.26 (define @t76 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t47 @t8)) % 0.94/1.26 (define @t77 () (not @t76)) % 0.94/1.26 (define @t78 () (= (tptp.c_Divides_Odiv__class_Omod @t47 @t32 @t8) @t70)) % 0.94/1.26 (define @t79 () (not (tptp.class_Divides_Osemiring__div @t8))) % 0.94/1.26 (define @t80 () (@list @t8 @t47 @t32)) % 0.94/1.26 (define @t81 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t45 @t8)) % 0.94/1.26 (define @t82 () (tptp.c_Divides_Odiv__class_Odiv @t47 @t32 @t8)) % 0.94/1.26 (define @t83 () (@list @t8 @t47 @t32 @t45)) % 0.94/1.26 (define @t84 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t8))) % 0.94/1.26 (define @t85 () (@list @t8 @t32)) % 0.94/1.26 (define @t86 () (tptp.c_HOL_Oord__class_Oless @t2 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t87 () (not @t86)) % 0.94/1.26 (define @t88 () (tptp.c_Suc @t13)) % 0.94/1.26 (define @t89 () (tptp.c_HOL_Otimes__class_Otimes @t88 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t90 () (tptp.c_HOL_Otimes__class_Otimes @t88 @t2 tptp.tc_nat)) % 0.94/1.26 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t90 @t89 tptp.tc_nat)) % 0.94/1.26 (define @t92 () (= @t4 @t1)) % 0.94/1.26 (define @t93 () (tptp.c_Divides_Odiv__class_Omod @t47 @t45 @t8)) % 0.94/1.26 (define @t94 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t48 @t93) @t45 @t8)) % 0.94/1.26 (define @t95 () (tptp.c_Divides_Odiv__class_Omod @t49 @t45 @t8)) % 0.94/1.26 (define @t96 () (@list @t8 @t32 @t47 @t45)) % 0.94/1.26 (define @t97 () (tptp.c_Divides_Odiv__class_Omod @t32 @t45 @t8)) % 0.94/1.26 (define @t98 () (tptp.hAPP @t28 @t97)) % 0.94/1.26 (define @t99 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t98 @t47) @t45 @t8)) % 0.94/1.26 (define @t100 () (@var "V_y" $$unsorted)) % 0.94/1.26 (define @t101 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t63 @t100 tptp.tc_nat))) % 0.94/1.26 (define @t102 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t100 @t63 tptp.tc_nat)) % 0.94/1.26 (define @t103 () (@var "V_z" $$unsorted)) % 0.94/1.26 (define @t104 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t100 @t103 tptp.tc_nat))) % 0.94/1.26 (define @t105 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t100 tptp.tc_nat)) % 0.94/1.26 (define @t106 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t63 tptp.tc_nat))) % 0.94/1.26 (define @t107 () (@list @t103 @t63 @t100)) % 0.94/1.26 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t63 @t63 tptp.tc_nat)) % 0.94/1.26 (define @t109 () (@list @t63 @t53)) % 0.94/1.26 (define @t110 () (tptp.c_Divides_Odiv__class_Omod @t2 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t111 () (tptp.c_Power_Opower__class_Opower @t9 @t4 @t8)) % 0.94/1.26 (define @t112 () (not (tptp.class_OrderedGroup_Omonoid__mult @t8))) % 0.94/1.26 (define @t113 () (@list @t8 @t4)) % 0.94/1.26 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t41 @t13 tptp.tc_nat)) % 0.94/1.26 (define @t115 () (tptp.hAPP @t43 @t1)) % 0.94/1.26 (define @t116 () (tptp.c_Lambda_OdB_OVar @t41)) % 0.94/1.26 (define @t117 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t116) @t13)) % 0.94/1.26 (define @t118 () (@list @t41 @t13)) % 0.94/1.26 (define @t119 () (tptp.hAPP @t28 @t63)) % 0.94/1.26 (define @t120 () (tptp.hAPP @t119 @t103)) % 0.94/1.26 (define @t121 () (tptp.hAPP @t28 @t100)) % 0.94/1.26 (define @t122 () (tptp.hAPP @t121 @t103)) % 0.94/1.26 (define @t123 () (tptp.hAPP @t119 @t122)) % 0.94/1.26 (define @t124 () (not (tptp.class_OrderedGroup_Oab__group__add @t8))) % 0.94/1.26 (define @t125 () (tptp.c_Power_Opower__class_Opower @t32 @t2 @t8)) % 0.94/1.26 (define @t126 () (tptp.hAPP @t42 @t2)) % 0.94/1.26 (define @t127 () (tptp.hAPP @t126 @t4)) % 0.94/1.26 (define @t128 () (@list @t8 @t32 @t2 @t4)) % 0.94/1.26 (define @t129 () (tptp.c_HOL_Oord__class_Oless @t14 @t127 tptp.tc_nat)) % 0.94/1.26 (define @t130 () (tptp.hAPP @t28 @t47)) % 0.94/1.26 (define @t131 () (tptp.hAPP @t130 @t45)) % 0.94/1.26 (define @t132 () (tptp.hAPP @t48 @t131)) % 0.94/1.26 (define @t133 () (tptp.hAPP @t28 @t49)) % 0.94/1.26 (define @t134 () (tptp.hAPP @t133 @t45)) % 0.94/1.26 (define @t135 () (= @t134 @t132)) % 0.94/1.26 (define @t136 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t8))) % 0.94/1.26 (define @t137 () (@var "V_d" $$unsorted)) % 0.94/1.26 (define @t138 () (tptp.hAPP @t28 @t45)) % 0.94/1.26 (define @t139 () (tptp.hAPP @t138 @t137)) % 0.94/1.26 (define @t140 () (tptp.hAPP @t48 @t139)) % 0.94/1.26 (define @t141 () (@list @t8 @t32 @t45 @t137)) % 0.94/1.26 (define @t142 () (tptp.hAPP @t48 @t45)) % 0.94/1.26 (define @t143 () (tptp.hAPP @t28 @t142)) % 0.94/1.26 (define @t144 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t8))) % 0.94/1.26 (define @t145 () (tptp.hAPP @t42 @t4)) % 0.94/1.26 (define @t146 () (tptp.hAPP @t145 @t13)) % 0.94/1.26 (define @t147 () (@list @t2 @t4 @t13)) % 0.94/1.26 (define @t148 () (tptp.hAPP @t42 @t63)) % 0.94/1.26 (define @t149 () (tptp.hAPP @t148 @t103)) % 0.94/1.26 (define @t150 () (tptp.hAPP @t42 @t100)) % 0.94/1.26 (define @t151 () (tptp.hAPP @t150 @t103)) % 0.94/1.26 (define @t152 () (@list @t63 @t100 @t103)) % 0.94/1.26 (define @t153 () (@list @t8 @t63 @t100 @t103)) % 0.94/1.26 (define @t154 () (tptp.hAPP @t119 @t100)) % 0.94/1.26 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t100 @t63 @t8)) % 0.94/1.26 (define @t156 () (not @t155)) % 0.94/1.26 (define @t157 () (not (tptp.class_Orderings_Oorder @t8))) % 0.94/1.26 (define @t158 () (tptp.c_HOL_Oord__class_Oless @t63 @t100 @t8)) % 0.94/1.26 (define @t159 () (not @t158)) % 0.94/1.26 (define @t160 () (not (tptp.class_Orderings_Opreorder @t8))) % 0.94/1.26 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t70 @t32 @t8)) % 0.94/1.26 (define @t162 () (not @t161)) % 0.94/1.26 (define @t163 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t9 @t8))) % 0.94/1.26 (define @t164 () (tptp.c_Suc @t4)) % 0.94/1.26 (define @t165 () (tptp.c_Power_Opower__class_Opower @t32 @t164 @t8)) % 0.94/1.26 (define @t166 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t32 @t8)) % 0.94/1.26 (define @t167 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t47 @t8)) % 0.94/1.26 (define @t168 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t2 tptp.tc_nat)) % 0.94/1.26 (define @t169 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t100 @t8)) % 0.94/1.26 (define @t170 () (@list @t8 @t63 @t100)) % 0.94/1.26 (define @t171 () (@var "V_q" $$unsorted)) % 0.94/1.26 (define @t172 () (tptp.c_Power_Opower__class_Opower @t63 @t171 @t8)) % 0.94/1.26 (define @t173 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t172 @t8)) % 0.94/1.26 (define @t174 () (tptp.c_Power_Opower__class_Opower @t63 (tptp.c_Suc @t171) @t8)) % 0.94/1.26 (define @t175 () (@list @t8 @t63 @t171)) % 0.94/1.26 (define @t176 () (tptp.c_Power_Opower__class_Opower @t63 @t4 @t8)) % 0.94/1.26 (define @t177 () (@list @t8 @t63 @t4)) % 0.94/1.26 (define @t178 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t36 @t8)) % 0.94/1.26 (define @t179 () (not (tptp.class_Power_Opower @t8))) % 0.94/1.26 (define @t180 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t32 @t8)) % 0.94/1.26 (define @t181 () (@var "V_p" $$unsorted)) % 0.94/1.26 (define @t182 () (tptp.c_Power_Opower__class_Opower @t63 @t181 @t8)) % 0.94/1.26 (define @t183 () (@list @t8 @t63 @t181 @t171)) % 0.94/1.26 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t13 @t41 tptp.tc_nat)) % 0.94/1.26 (define @t185 () (= @t41 @t13)) % 0.94/1.26 (define @t186 () (@list @t41 @t53 @t13)) % 0.94/1.26 (define @t187 () (not @t69)) % 0.94/1.26 (define @t188 () (@list @t2)) % 0.94/1.26 (define @t189 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t103 @t8)) % 0.94/1.26 (define @t190 () (tptp.hAPP (tptp.hAPP @t28 @t169) @t189)) % 0.94/1.26 (define @t191 () (not (tptp.class_Int_Onumber__ring @t8))) % 0.94/1.26 (define @t192 () (not (tptp.class_Ring__and__Field_Oidom @t8))) % 0.94/1.26 (define @t193 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t45 @t8)) % 0.94/1.26 (define @t194 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t137 @t8)) % 0.94/1.26 (define @t195 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t45 tptp.tc_nat)) % 0.94/1.26 (define @t196 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t137 tptp.tc_nat)) % 0.94/1.26 (define @t197 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t100 tptp.tc_nat)) % 0.94/1.26 (define @t198 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t103 tptp.tc_nat)) % 0.94/1.26 (define @t199 () (@list @t4)) % 0.94/1.26 (define @t200 () (tptp.c_Divides_Odiv__class_Omod @t32 @t47 @t8)) % 0.94/1.26 (define @t201 () (@list @t8 @t2 @t4)) % 0.94/1.26 (define @t202 () (= @t32 @t70)) % 0.94/1.26 (define @t203 () (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t32 @t8) @t32)) % 0.94/1.26 (define @t204 () (= (tptp.c_HOL_Otimes__class_Otimes @t32 @t9 @t8) @t32)) % 0.94/1.26 (define @t205 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t8))) % 0.94/1.26 (define @t206 () (@list @t8 @t63)) % 0.94/1.26 (define @t207 () (tptp.c_List_Olist_ONil @t8)) % 0.94/1.26 (define @t208 () (@var "V_A" $$unsorted)) % 0.94/1.26 (define @t209 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t45 @t8)) % 0.94/1.26 (define @t210 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t209 @t81 @t8)) % 0.94/1.26 (define @t211 () (@list @t8 @t32 @t45 @t47)) % 0.94/1.26 (define @t212 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t47 @t8)) % 0.94/1.26 (define @t213 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t32 @t8)) % 0.94/1.26 (define @t214 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t213 @t212 @t8)) % 0.94/1.26 (define @t215 () (@list @t8 @t45 @t32 @t47)) % 0.94/1.26 (define @t216 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t217 () (not @t216)) % 0.94/1.26 (define @t218 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 @t17 tptp.tc_nat)) % 0.94/1.26 (define @t219 () (tptp.c_Divides_Odiv__class_Omod @t167 @t45 @t8)) % 0.94/1.26 (define @t220 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t97 @t47 @t8) @t45 @t8)) % 0.94/1.26 (define @t221 () (tptp.c_Divides_Odiv__class_Odiv @t32 @t47 @t8)) % 0.94/1.26 (define @t222 () (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t47 @t221 @t8)) @t200)) % 0.94/1.26 (define @t223 () (tptp.c_HOL_Otimes__class_Otimes @t221 @t47 @t8)) % 0.94/1.26 (define @t224 () (tptp.hAPP (tptp.hAPP @t28 @t223) @t200)) % 0.94/1.26 (define @t225 () (@list @t41 @t2)) % 0.94/1.26 (define @t226 () (@var "V_nat" $$unsorted)) % 0.94/1.26 (define @t227 () (tptp.c_Lambda_OdB_OVar @t226)) % 0.94/1.26 (define @t228 () (@list @t226)) % 0.94/1.26 (define @t229 () (@var "V_N" $$unsorted)) % 0.94/1.26 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t229 tptp.tc_nat))) % 0.94/1.26 (define @t231 () (tptp.c_Power_Opower__class_Opower @t32 @t229 @t8)) % 0.94/1.26 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t63 @t100 tptp.tc_nat)) % 0.94/1.26 (define @t233 () (not @t232)) % 0.94/1.26 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t63 @t151 tptp.tc_nat)) % 0.94/1.26 (define @t235 () (@list @t41 @t13 @t40)) % 0.94/1.26 (define @t236 () (not (tptp.c_HOL_Oord__class_Oless @t41 @t40 tptp.tc_nat))) % 0.94/1.26 (define @t237 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 (tptp.c_Divides_Odiv__class_Omod @t2 @t4 @t8) @t8)) % 0.94/1.26 (define @t238 () (not @t237)) % 0.94/1.26 (define @t239 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t4 @t8))) % 0.94/1.26 (define @t240 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t2 @t8)) % 0.94/1.26 (define @t241 () (@list @t8 @t13 @t2 @t4)) % 0.94/1.26 (define @t242 () (not @t240)) % 0.94/1.26 (define @t243 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t1 tptp.tc_nat)) % 0.94/1.26 (define @t244 () (tptp.hAPP @t42 @t13)) % 0.94/1.26 (define @t245 () (tptp.hAPP @t244 @t1)) % 0.94/1.26 (define @t246 () (tptp.c_Lambda_OdB_OAbs @t56)) % 0.94/1.26 (define @t247 () (@list @t56 @t53 @t13)) % 0.94/1.26 (define @t248 () (tptp.hAPP @t138 @t32)) % 0.94/1.26 (define @t249 () (tptp.hAPP @t130 @t32)) % 0.94/1.26 (define @t250 () (@var "V_l" $$unsorted)) % 0.94/1.26 (define @t251 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t250 tptp.tc_nat))) % 0.94/1.26 (define @t252 () (tptp.hAPP @t244 @t4)) % 0.94/1.26 (define @t253 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t4 @t8)) % 0.94/1.26 (define @t254 () (@var "V_T" $$unsorted)) % 0.94/1.26 (define @t255 () (tptp.c_Divides_Odiv__class_Odiv @t2 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t256 () (= @t255 @t14)) % 0.94/1.26 (define @t257 () (= @t47 @t70)) % 0.94/1.26 (define @t258 () (tptp.hAPP @t138 @t221)) % 0.94/1.26 (define @t259 () (tptp.hAPP @t48 @t81)) % 0.94/1.26 (define @t260 () (tptp.hAPP @t48 @t212)) % 0.94/1.26 (define @t261 () (tptp.hAPP @t29 @t9)) % 0.94/1.26 (define @t262 () (tptp.hAPP @t28 @t2)) % 0.94/1.26 (define @t263 () (= @t100 @t103)) % 0.94/1.26 (define @t264 () (@list @t2 @t13 @t4)) % 0.94/1.26 (define @t265 () (tptp.hAPP @t244 @t2)) % 0.94/1.26 (define @t266 () (= @t47 @t45)) % 0.94/1.26 (define @t267 () (not (= @t49 @t142))) % 0.94/1.26 (define @t268 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t8))) % 0.94/1.26 (define @t269 () (tptp.c_Power_Opower__class_Opower @t100 @t4 @t8)) % 0.94/1.26 (define @t270 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t45 @t8)) % 0.94/1.26 (define @t271 () (not @t270)) % 0.94/1.26 (define @t272 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t82 (tptp.c_Divides_Odiv__class_Odiv @t45 @t32 @t8) @t8)) % 0.94/1.26 (define @t273 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t45 @t8)) % 0.94/1.26 (define @t274 () (@list @t8 @t47 @t45 @t32)) % 0.94/1.26 (define @t275 () (not @t273)) % 0.94/1.26 (define @t276 () (= @t63 @t70)) % 0.94/1.26 (define @t277 () (tptp.c_HOL_Otimes__class_Otimes @t63 @t63 @t8)) % 0.94/1.26 (define @t278 () (tptp.hAPP (tptp.hAPP @t28 @t277) (tptp.c_HOL_Otimes__class_Otimes @t100 @t100 @t8))) % 0.94/1.26 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t70 @t278 @t8)) % 0.94/1.26 (define @t280 () (= @t100 @t70)) % 0.94/1.26 (define @t281 () (tptp.hAPP @t130 @t137)) % 0.94/1.26 (define @t282 () (tptp.c_Suc @t14)) % 0.94/1.26 (define @t283 () (@var "V_dB" $$unsorted)) % 0.94/1.26 (define @t284 () (tptp.c_Lambda_OdB_OAbs @t283)) % 0.94/1.26 (define @t285 () (@list @t283)) % 0.94/1.26 (define @t286 () (not @t114)) % 0.94/1.26 (define @t287 () (tptp.c_Lambda_Oliftn @t4 @t116 @t13)) % 0.94/1.26 (define @t288 () (@list @t4 @t41 @t13)) % 0.94/1.26 (define @t289 () (tptp.c_HOL_Oord__class_Oless @t213 @t212 @t8)) % 0.94/1.26 (define @t290 () (not @t289)) % 0.94/1.26 (define @t291 () (tptp.c_HOL_Oord__class_Oless @t70 @t45 @t8)) % 0.94/1.26 (define @t292 () (tptp.c_HOL_Oord__class_Oless @t45 @t70 @t8)) % 0.94/1.26 (define @t293 () (tptp.c_HOL_Oord__class_Oless @t32 @t47 @t8)) % 0.94/1.26 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t47 @t32 @t8)) % 0.94/1.26 (define @t295 () (tptp.c_HOL_Oord__class_Oless @t209 @t81 @t8)) % 0.94/1.26 (define @t296 () (not @t295)) % 0.94/1.26 (define @t297 () (tptp.hAPP @t57 @t13)) % 0.94/1.26 (define @t298 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t41 tptp.tc_nat)) % 0.94/1.26 (define @t299 () (not @t292)) % 0.94/1.26 (define @t300 () (not @t294)) % 0.94/1.26 (define @t301 () (not @t291)) % 0.94/1.26 (define @t302 () (not @t293)) % 0.94/1.26 (define @t303 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t8))) % 0.94/1.26 (define @t304 () (tptp.c_Divides_Odiv__class_Omod @t47 @t45 tptp.tc_nat)) % 0.94/1.26 (define @t305 () (tptp.c_Divides_Odiv__class_Odiv @t47 @t45 tptp.tc_nat)) % 0.94/1.26 (define @t306 () (@list @t32 @t47 @t45)) % 0.94/1.26 (define @t307 () (= @t45 @t70)) % 0.94/1.26 (define @t308 () (= @t13 @t14)) % 0.94/1.26 (define @t309 () (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t17 tptp.tc_nat) @t255)) % 0.94/1.26 (define @t310 () (tptp.hAPP (tptp.hAPP @t59 @t39) @t41)) % 0.94/1.26 (define @t311 () (@var "V_e_H" $$unsorted)) % 0.94/1.26 (define @t312 () (@var "V_U" $$unsorted)) % 0.94/1.26 (define @t313 () (tptp.hAPP (tptp.hAPP @t42 @t17) @t2)) % 0.94/1.26 (define @t314 () (@list @t13 @t4 @t2)) % 0.94/1.26 (define @t315 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t2 @t8)) % 0.94/1.26 (define @t316 () (tptp.hAPP @t28 @t315)) % 0.94/1.26 (define @t317 () (not @t218)) % 0.94/1.26 (define @t318 () (tptp.hAPP (tptp.hAPP @t28 @t221) @t9)) % 0.94/1.26 (define @t319 () (tptp.c_HOL_Otimes__class_Otimes @t70 @t70 @t8)) % 0.94/1.26 (define @t320 () (tptp.hAPP (tptp.hAPP @t28 @t319) @t319)) % 0.94/1.26 (define @t321 () (tptp.c_Power_Opower__class_Opower @t63 @t14 tptp.tc_nat)) % 0.94/1.26 (define @t322 () (@list @t63)) % 0.94/1.26 (define @t323 () (not (tptp.c_Lambda_Obeta @t53 @t56))) % 0.94/1.26 (define @t324 () (tptp.c_Lambda_OdB_OAbs @t53)) % 0.94/1.26 (define @t325 () (@list @t53 @t56)) % 0.94/1.26 (define @t326 () (@var "V_P" $$unsorted)) % 0.94/1.26 (define @t327 () (tptp.hAPP (tptp.hAPP @t42 @t298) @t40)) % 0.94/1.26 (define @t328 () (not (tptp.c_HOL_Oord__class_Oless @t40 @t13 tptp.tc_nat))) % 0.94/1.26 (define @t329 () (@list @t40 @t13 @t326 @t41)) % 0.94/1.26 (define @t330 () (tptp.hAPP @t48 @t32)) % 0.94/1.26 (define @t331 () (tptp.c_HOL_Oord__class_Oless @t70 @t330 @t8)) % 0.94/1.26 (define @t332 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t8))) % 0.94/1.26 (define @t333 () (not (= @t36 @t70))) % 0.94/1.26 (define @t334 () (not (tptp.class_Ring__and__Field_Omult__zero @t8))) % 0.94/1.26 (define @t335 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t8))) % 0.94/1.26 (define @t336 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t8))) % 0.94/1.26 (define @t337 () (tptp.c_HOL_Otimes__class_Otimes @t70 @t32 @t8)) % 0.94/1.26 (define @t338 () (= @t337 @t70)) % 0.94/1.26 (define @t339 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t70 @t8)) % 0.94/1.26 (define @t340 () (= @t339 @t70)) % 0.94/1.26 (define @t341 () (tptp.c_HOL_Otimes__class_Otimes @t70 @t47 @t8)) % 0.94/1.26 (define @t342 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t8))) % 0.94/1.26 (define @t343 () (not (= @t167 @t70))) % 0.94/1.26 (define @t344 () (@var "V_dB_H" $$unsorted)) % 0.94/1.26 (define @t345 () (tptp.c_Lambda_OdB_OAbs @t344)) % 0.94/1.26 (define @t346 () (@var "V_b_H" $$unsorted)) % 0.94/1.26 (define @t347 () (@var "V_a_H" $$unsorted)) % 0.94/1.26 (define @t348 () (not (= @t97 (tptp.c_Divides_Odiv__class_Omod @t347 @t45 @t8)))) % 0.94/1.26 (define @t349 () (not (= @t93 (tptp.c_Divides_Odiv__class_Omod @t346 @t45 @t8)))) % 0.94/1.26 (define @t350 () (@list @t8 @t47 @t45 @t346 @t32 @t347)) % 0.94/1.26 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t330 @t70 @t8)) % 0.94/1.26 (define @t352 () (not @t351)) % 0.94/1.26 (define @t353 () (not (tptp.class_Ring__and__Field_Oordered__idom @t8))) % 0.94/1.26 (define @t354 () (tptp.c_HOL_Oord__class_Oless @t70 @t47 @t8)) % 0.94/1.26 (define @t355 () (tptp.c_HOL_Oord__class_Oless @t70 @t167 @t8)) % 0.94/1.26 (define @t356 () (not @t354)) % 0.94/1.26 (define @t357 () (tptp.c_HOL_Oord__class_Oless @t14 @t63 tptp.tc_nat)) % 0.94/1.26 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t14 (tptp.c_Power_Opower__class_Opower @t63 @t4 tptp.tc_nat) tptp.tc_nat)) % 0.94/1.26 (define @t359 () (@list @t63 @t4)) % 0.94/1.26 (define @t360 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t100 @t63 @t8))) % 0.94/1.26 (define @t361 () (tptp.c_Divides_Odiv__class_Odiv @t63 @t100 @t8)) % 0.94/1.26 (define @t362 () (tptp.c_Divides_Odiv__class_Omod @t30 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t363 () (@var "V_w" $$unsorted)) % 0.94/1.26 (define @t364 () (= @t363 @t63)) % 0.94/1.26 (define @t365 () (= @t32 @t47)) % 0.94/1.26 (define @t366 () (= @t45 @t137)) % 0.94/1.26 (define @t367 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t137 @t8)) % 0.94/1.26 (define @t368 () (tptp.hAPP @t28 @t209)) % 0.94/1.26 (define @t369 () (@list @t8 @t32 @t45 @t47 @t137)) % 0.94/1.26 (define @t370 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t45 tptp.tc_nat)) % 0.94/1.26 (define @t371 () (= @t2 @t14)) % 0.94/1.26 (define @t372 () (@var "V_ry" $$unsorted)) % 0.94/1.26 (define @t373 () (@var "V_ly" $$unsorted)) % 0.94/1.26 (define @t374 () (@var "V_rx" $$unsorted)) % 0.94/1.26 (define @t375 () (@var "V_lx" $$unsorted)) % 0.94/1.26 (define @t376 () (tptp.c_HOL_Otimes__class_Otimes @t375 @t374 @t8)) % 0.94/1.26 (define @t377 () (tptp.c_HOL_Otimes__class_Otimes @t374 @t372 @t8)) % 0.94/1.26 (define @t378 () (tptp.c_HOL_Otimes__class_Otimes @t375 @t373 @t8)) % 0.94/1.26 (define @t379 () (tptp.c_HOL_Otimes__class_Otimes @t378 @t377 @t8)) % 0.94/1.26 (define @t380 () (@list @t8 @t375 @t373 @t374 @t372)) % 0.94/1.26 (define @t381 () (tptp.hAPP @t48 @t9)) % 0.94/1.26 (define @t382 () (tptp.c_HOL_Otimes__class_Otimes @t381 @t2 @t8)) % 0.94/1.26 (define @t383 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t146 tptp.tc_nat)) % 0.94/1.26 (define @t384 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t385 () (@list @t13 @t4)) % 0.94/1.26 (define @t386 () (not (tptp.c_HOL_Oord__class_Oless @t63 @t63 @t8))) % 0.94/1.26 (define @t387 () (not (tptp.class_Orderings_Olinorder @t8))) % 0.94/1.26 (define @t388 () (= @t63 @t100)) % 0.94/1.26 (define @t389 () (@list @t8 @t100 @t63)) % 0.94/1.26 (define @t390 () (not @t102)) % 0.94/1.26 (define @t391 () (@list @t63 @t100)) % 0.94/1.26 (define @t392 () (@list @t100 @t63)) % 0.94/1.26 (define @t393 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t2 tptp.tc_nat))) % 0.94/1.26 (define @t394 () (tptp.c_HOL_Oord__class_Oless @t4 @t2 tptp.tc_nat)) % 0.94/1.26 (define @t395 () (tptp.hAPP @t326 @t4)) % 0.94/1.26 (define @t396 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t47 tptp.tc_nat))) % 0.94/1.26 (define @t397 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t32 tptp.tc_nat))) % 0.94/1.26 (define @t398 () (@list @t47 @t32)) % 0.94/1.26 (define @t399 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t8))) % 0.94/1.26 (define @t400 () (tptp.hAPP @t43 @t13)) % 0.94/1.26 (define @t401 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t63 @t103 tptp.tc_nat)) % 0.94/1.26 (define @t402 () (@list @t63 @t103 @t100)) % 0.94/1.26 (define @t403 () (tptp.c_HOL_Oord__class_Oless @t27 @t253 @t8)) % 0.94/1.26 (define @t404 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t405 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t2 tptp.tc_nat)) % 0.94/1.26 (define @t406 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t8))) % 0.94/1.26 (define @t407 () (tptp.c_HOL_Otimes__class_Otimes @t100 @t103 @t8)) % 0.94/1.26 (define @t408 () (@var "V_xb" $$unsorted)) % 0.94/1.26 (define @t409 () (@var "V_xa" $$unsorted)) % 0.94/1.26 (define @t410 () (tptp.c_HOL_Oord__class_Oless @t70 @t253 @t8)) % 0.94/1.26 (define @t411 () (tptp.c_Power_Opower__class_Opower @t32 @t14 @t8)) % 0.94/1.26 (define @t412 () (tptp.hAPP @t28 @t70)) % 0.94/1.26 (define @t413 () (= (tptp.hAPP @t412 @t32) @t32)) % 0.94/1.26 (define @t414 () (= (tptp.hAPP @t48 @t70) @t32)) % 0.94/1.26 (define @t415 () (not (tptp.class_OrderedGroup_Omonoid__add @t8))) % 0.94/1.26 (define @t416 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t8))) % 0.94/1.26 (define @t417 () (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Divides_Odiv__class_Omod @t4 @t14 tptp.tc_nat)))) % 0.94/1.26 (define @t418 () (tptp.hBOOL @t395)) % 0.94/1.26 (define @t419 () (@list @t326 @t4)) % 0.94/1.26 (define @t420 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t14 tptp.tc_nat)) % 0.94/1.26 (define @t421 () (tptp.hBOOL (tptp.hAPP @t326 @t14))) % 0.94/1.26 (define @t422 () (not @t421)) % 0.94/1.26 (define @t423 () (tptp.v_sko__List__Xlexn__Xinduct__1 @t326)) % 0.94/1.26 (define @t424 () (tptp.hBOOL (tptp.hAPP @t326 @t226))) % 0.94/1.26 (define @t425 () (@list @t326 @t226)) % 0.94/1.26 (define @t426 () (not (tptp.hBOOL (tptp.hAPP @t326 @t13)))) % 0.94/1.26 (define @t427 () (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 @t326)) % 0.94/1.26 (define @t428 () (@list @t326 @t13)) % 0.94/1.26 (define @t429 () (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Divides_Odiv__class_Odiv @t4 @t14 tptp.tc_nat)))) % 0.94/1.26 (define @t430 () (= @t4 @t14)) % 0.94/1.26 (define @t431 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t326)) % 0.94/1.26 (define @t432 () (not (= @t127 @t14))) % 0.94/1.26 (define @t433 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t326)) % 0.94/1.26 (define @t434 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t326)) % 0.94/1.26 (define @t435 () (tptp.hAPP @t42 @t14)) % 0.94/1.26 (define @t436 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t326)) % 0.94/1.26 (define @t437 () (tptp.v_sko__List__Xupt__Xinduct__1 @t326)) % 0.94/1.26 (define @t438 () (not (tptp.c_HOL_Oord__class_Oless @t282 @t4 tptp.tc_nat))) % 0.94/1.26 (define @t439 () (not (tptp.c_HOL_Oord__class_Oless @t282 @t2 tptp.tc_nat))) % 0.94/1.26 (define @t440 () (tptp.c_HOL_Oord__class_Oless @t2 @t164 tptp.tc_nat)) % 0.94/1.26 (define @t441 () (tptp.c_HOL_Oord__class_Oless @t30 @t4 tptp.tc_nat)) % 0.94/1.26 (define @t442 () (tptp.c_Suc @t110)) % 0.94/1.26 (define @t443 () (tptp.c_Suc @t41)) % 0.94/1.26 (define @t444 () (tptp.c_Suc @t63)) % 0.94/1.26 (define @t445 () (tptp.c_HOL_Oord__class_Oless @t63 @t444 tptp.tc_nat)) % 0.94/1.26 (define @t446 () (tptp.c_HOL_Oord__class_Oless @t4 @t30 tptp.tc_nat)) % 0.94/1.26 (define @t447 () (not @t446)) % 0.94/1.26 (define @t448 () (tptp.c_Suc @t127)) % 0.94/1.26 (define @t449 () (tptp.hAPP (tptp.hAPP @t42 @t30) @t4)) % 0.94/1.26 (define @t450 () (tptp.hAPP @t126 @t164)) % 0.94/1.26 (define @t451 () (= @t442 @t4)) % 0.94/1.26 (define @t452 () (tptp.c_HOL_Oord__class_Oless @t30 @t164 tptp.tc_nat)) % 0.94/1.26 (define @t453 () (@var "V_dB2" $$unsorted)) % 0.94/1.26 (define @t454 () (@var "V_dB1" $$unsorted)) % 0.94/1.26 (define @t455 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t454) @t453)) % 0.94/1.26 (define @t456 () (@var "V_dB2_H" $$unsorted)) % 0.94/1.26 (define @t457 () (@var "V_dB1_H" $$unsorted)) % 0.94/1.26 (define @t458 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t457) @t456)) % 0.94/1.26 (define @t459 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t39)) % 0.94/1.26 (define @t460 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t56)) % 0.94/1.26 (define @t461 () (tptp.hAPP @t460 @t39)) % 0.94/1.26 (define @t462 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t53)) % 0.94/1.26 (define @t463 () (tptp.c_Lambda_Oliftn @t4 @t56 @t13)) % 0.94/1.26 (define @t464 () (tptp.hAPP @t462 @t56)) % 0.94/1.26 (define @t465 () (@list @t56 @t39 @t53 @t13)) % 0.94/1.26 (define @t466 () (@var "T_b" $$unsorted)) % 0.94/1.26 (define @t467 () (tptp.c_List_Olist_ONil @t466)) % 0.94/1.26 (define @t468 () (@var "V_xs" $$unsorted)) % 0.94/1.26 (define @t469 () (= @t468 @t467)) % 0.94/1.26 (define @t470 () (@var "V_f" $$unsorted)) % 0.94/1.26 (define @t471 () (tptp.c_List_Omap @t470 @t468 @t466 @t8)) % 0.94/1.26 (define @t472 () (tptp.c_List_Omap @t470 @t467 @t466 @t8)) % 0.94/1.26 (define @t473 () (@var "V_ts" $$unsorted)) % 0.94/1.26 (define @t474 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t116 @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t475 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t476 () (@var "V_ss" $$unsorted)) % 0.94/1.26 (define @t477 () (= @t476 @t475)) % 0.94/1.26 (define @t478 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t53 @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t479 () (@var "V_r" $$unsorted)) % 0.94/1.26 (define @t480 () (tptp.c_Lambda_OdB_OAbs @t479)) % 0.94/1.26 (define @t481 () (not (= @t480 @t478))) % 0.94/1.26 (define @t482 () (@list @t479 @t53 @t476)) % 0.94/1.26 (define @t483 () (tptp.c_Lambda_OdB_OVar @t4)) % 0.94/1.26 (define @t484 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.94/1.26 (define @t485 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t480 @t475 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t486 () (@list @t479)) % 0.94/1.26 (define @t487 () (not (= @t478 @t480))) % 0.94/1.26 (define @t488 () (@list @t53 @t476 @t479)) % 0.94/1.26 (define @t489 () (not (= @t484 @t478))) % 0.94/1.26 (define @t490 () (@list @t2 @t53 @t476)) % 0.94/1.26 (define @t491 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t483 @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t492 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t324) @t56)) % 0.94/1.26 (define @t493 () (@var "V_zs" $$unsorted)) % 0.94/1.26 (define @t494 () (not (tptp.c_Lambda_Obeta @t479 @t53))) % 0.94/1.26 (define @t495 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t53) @t56)) % 0.94/1.26 (define @t496 () (tptp.hAPP tptp.c_Lambda_Osubst @t479)) % 0.94/1.26 (define @t497 () (not (tptp.c_HOL_Oord__class_Oless @t40 @t41 tptp.tc_nat))) % 0.94/1.26 (define @t498 () (tptp.c_HOL_Oord__class_Oless @t167 @t70 @t8)) % 0.94/1.26 (define @t499 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t167 @t45 @t8))) % 0.94/1.26 (define @t500 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t81 @t8)) % 0.94/1.26 (define @t501 () (tptp.c_Finite__Set_Osetsum @t470 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t164 tptp.tc_nat) tptp.tc_nat @t8)) % 0.94/1.26 (define @t502 () (@list @t8 @t470 @t2 @t4)) % 0.94/1.26 (define @t503 () (tptp.c_Divides_Odiv__class_Odiv @t32 @t47 tptp.tc_nat)) % 0.94/1.26 (define @t504 () (tptp.c_Lambda_OdB_OVar @t40)) % 0.94/1.26 (define @t505 () (not (tptp.c_HOL_Oord__class_Oless @t9 @t47 @t8))) % 0.94/1.26 (define @t506 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t47 @t63 @t8) (tptp.c_Power_Opower__class_Opower @t47 @t100 @t8) @t8)) % 0.94/1.26 (define @t507 () (not (= @t278 @t70))) % 0.94/1.26 (define @t508 () (tptp.c_HOL_Oord__class_Oless @t142 @t131 @t8)) % 0.94/1.26 (define @t509 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t8))) % 0.94/1.26 (define @t510 () (tptp.c_HOL_Oord__class_Oless @t248 (tptp.hAPP @t138 @t47) @t8)) % 0.94/1.26 (define @t511 () (tptp.c_HOL_Oord__class_Oless @t265 @t252 tptp.tc_nat)) % 0.94/1.26 (define @t512 () (not (tptp.c_Type_Otyping @t46 @t56 @t254))) % 0.94/1.26 (define @t513 () (@var "V_t_H" $$unsorted)) % 0.94/1.26 (define @t514 () (tptp.c_Finite__Set_Osetsum @t470 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t4 tptp.tc_nat) tptp.tc_nat @t8)) % 0.94/1.26 (define @t515 () (@var "V_nat_H" $$unsorted)) % 0.94/1.26 (define @t516 () (= @t226 @t515)) % 0.94/1.26 (define @t517 () (@list @t226 @t515)) % 0.94/1.26 (define @t518 () (not (= @t1 @t5))) % 0.94/1.26 (define @t519 () (tptp.c_HOL_Otimes__class_Otimes @t378 @t374 @t8)) % 0.94/1.26 (define @t520 () (@list @t8 @t375 @t373 @t374)) % 0.94/1.26 (define @t521 () (tptp.c_HOL_Otimes__class_Otimes @t375 @t377 @t8)) % 0.94/1.26 (define @t522 () (@list @t8 @t375 @t374 @t372)) % 0.94/1.26 (define @t523 () (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t45 @t8) (tptp.hAPP @t368 @t81))) % 0.94/1.26 (define @t524 () (tptp.c_Type_Oshift @t46 @t41 @t312 tptp.tc_Type_Otype)) % 0.94/1.26 (define @t525 () (@var "V_v" $$unsorted)) % 0.94/1.26 (define @t526 () (tptp.hAPP tptp.c_Lambda_Osubst @t39)) % 0.94/1.26 (define @t527 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t479)))) % 0.94/1.26 (define @t528 () (@var "V_T_H" $$unsorted)) % 0.94/1.26 (define @t529 () (tptp.c_Type_Oshift @t46 @t41 tptp.v_T____ tptp.tc_Type_Otype)) % 0.94/1.26 (define @t530 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t39)))) % 0.94/1.26 (define @t531 () (not (tptp.c_Type_Otyping @t46 @t39 tptp.v_T____))) % 0.94/1.26 (define @t532 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____)) % 0.94/1.26 (define @t533 () (@list @t39 @t41 @t46 @t528)) % 0.94/1.26 (define @t534 () (@list @t454 @t453)) % 0.94/1.26 (define @t535 () (@var "V_rs" $$unsorted)) % 0.94/1.26 (define @t536 () (= (tptp.c_Power_Opower__class_Opower @t70 @t4 @t8) @t70)) % 0.94/1.26 (define @t537 () (not (= @t127 @t282))) % 0.94/1.26 (define @t538 () (= @t2 @t282)) % 0.94/1.26 (define @t539 () (= @t4 @t282)) % 0.94/1.26 (define @t540 () (tptp.hAPP @t435 @t282)) % 0.94/1.26 (define @t541 () (tptp.hAPP (tptp.hAPP @t42 @t282) @t14)) % 0.94/1.26 (define @t542 () (not (= @t282 @t127))) % 0.94/1.26 (define @t543 () (not (= @t5 @t282))) % 0.94/1.26 (define @t544 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t479) @t53)) % 0.94/1.26 (define @t545 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t484 @t535 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t491))) % 0.94/1.26 (define @t546 () (@list @t2 @t535 @t4 @t476)) % 0.94/1.26 (define @t547 () (= @t535 @t476)) % 0.94/1.26 (define @t548 () (= @t479 @t53)) % 0.94/1.26 (define @t549 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t480 @t535 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t324 @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.94/1.26 (define @t550 () (@list @t479 @t535 @t53 @t476)) % 0.94/1.26 (define @t551 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t56)))) % 0.94/1.26 (define @t552 () (@list @t56 @t41)) % 0.94/1.26 (define @t553 () (@var "V_Ts" $$unsorted)) % 0.94/1.26 (define @t554 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t555 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t39 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t554) @t41 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t556 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t41 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t557 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_r____)) % 0.94/1.26 (define @t558 () (tptp.hAPP (tptp.hAPP @t557 tptp.v_a____) @t14)) % 0.94/1.26 (define @t559 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t558 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t560 () (tptp.hAPP tptp.c_Lambda_Osubst @t559)) % 0.94/1.26 (define @t561 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t56 @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t562 () (tptp.c_Suc @t515)) % 0.94/1.26 (define @t563 () (@list @t515)) % 0.94/1.26 (define @t564 () (not (= @t455 @t458))) % 0.94/1.26 (define @t565 () (@list @t454 @t453 @t457 @t456)) % 0.94/1.26 (define @t566 () (@var "V_Q" $$unsorted)) % 0.94/1.26 (define @t567 () (@var "V_R" $$unsorted)) % 0.94/1.26 (define @t568 () (@var "T_c" $$unsorted)) % 0.94/1.26 (define @t569 () (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t560 tptp.v_u____) tptp.v_i____))) % 0.94/1.26 (define @t570 () (tptp.hBOOL @t569)) % 0.94/1.26 (define @t571 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.v_u____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t554) tptp.v_i____ tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.94/1.26 (define @t572 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t557 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift tptp.v_u____) @t14)) (tptp.c_Suc tptp.v_i____))) (tptp.hAPP (tptp.hAPP @t532 tptp.v_u____) tptp.v_i____)) @t14)) % 0.94/1.26 (define @t573 () (@var "T_1" $$unsorted)) % 0.94/1.26 (define @t574 () (@var "T_2" $$unsorted)) % 0.94/1.26 (define @t575 () (tptp.tc_fun @t574 @t573)) % 0.94/1.26 (define @t576 () (@list @t574 @t573)) % 0.94/1.26 (define @t577 () (@var "V_Y" $$unsorted)) % 0.94/1.26 (define @t578 () (@var "V_X" $$unsorted)) % 0.94/1.26 (define @t579 () (@list tptp.v_i____)) % 0.94/1.26 (define @t580 () (tptp.c_HOL_Oord__class_Oless @t14 (tptp.hAPP (tptp.hAPP @t42 tptp.v_i____) @t1) tptp.tc_nat)) % 0.94/1.26 (define @t581 () (not @t580)) % 0.94/1.26 (define @t582 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t558) tptp.v_u____) tptp.v_i____)) % 0.94/1.26 (define @t583 () (= @t572 @t582)) % 0.94/1.26 (define @t584 () (or @t583 @t581)) % 0.94/1.26 (assume @p1 (forall @t7 (or @t6 @t3))) % 0.94/1.26 (assume @p2 (forall @t11 (or @t10 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t8) @t9)))) % 0.94/1.26 (assume @p3 (forall @t20 (or @t19 @t16 @t12))) % 0.94/1.26 (assume @p4 (forall @t20 (or @t15 @t24))) % 0.94/1.26 (assume @p5 (forall @t20 (or @t15 @t26))) % 0.94/1.26 (assume @p6 (forall @t31 (or @t10 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t30 @t8) (tptp.hAPP @t29 @t27))))) % 0.94/1.26 (assume @p7 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t9 @t36 @t8) @t35 @t33))) % 0.94/1.26 (assume @p8 (forall (@list @t41 @t39 @t40 @t13) (= (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t41 @t39 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t40 @t39 tptp.tc_nat)) @t13)) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t44 @t39 tptp.tc_nat)) @t13)))) % 0.94/1.26 (assume @p9 (forall (@list @t8 @t32 @t46 @t47 @t45) (or (not (tptp.class_Ring__and__Field_Osemiring @t8)) (= (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t32 @t46 @t8)) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t47 @t46 @t8)) @t45)) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t49 @t46 @t8)) @t45))))) % 0.94/1.26 (assume @p10 (forall @t62 (or (= @t61 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t58) @t55) @t51)) @t52))) % 0.94/1.26 (assume @p11 (forall (@list @t64 @t63) (tptp.c_Type_Otyping @t64 @t65 (tptp.hAPP @t64 @t63)))) % 0.94/1.26 (assume @p12 (forall @t68 (or @t34 @t67))) % 0.94/1.26 (assume @p13 (forall @t7 (or @t69 @t67))) % 0.94/1.26 (assume @p14 (forall @t75 (or @t74 (tptp.c_HOL_Oord__class_Oless @t49 @t70 @t8) @t73 @t72))) % 0.94/1.26 (assume @p15 (forall @t80 (or @t79 @t78 @t77))) % 0.94/1.26 (assume @p16 (forall @t80 (or @t79 (not @t78) @t76))) % 0.94/1.26 (assume @p17 (forall @t83 (or @t79 (= (tptp.c_HOL_Otimes__class_Otimes @t82 @t45 @t8) (tptp.c_Divides_Odiv__class_Odiv @t81 @t32 @t8)) @t77))) % 0.94/1.26 (assume @p18 (forall @t85 (or @t84 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t32 @t32 @t8) @t70 @t8))))) % 0.94/1.26 (assume @p19 (forall @t20 (or @t91 @t87))) % 0.94/1.26 (assume @p20 (forall @t7 (or @t6 @t92))) % 0.94/1.26 (assume @p21 (forall @t96 (or @t79 (= @t95 @t94)))) % 0.94/1.26 (assume @p22 (forall @t96 (or @t79 (= @t95 @t99)))) % 0.94/1.26 (assume @p23 (forall @t107 (or @t106 @t105 @t104 @t102 @t101))) % 0.94/1.26 (assume @p24 (forall @t109 (or @t108 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t65) @t53) @t63) @t53)))) % 0.94/1.26 (assume @p25 (forall @t7 (or (tptp.c_HOL_Oord__class_Oless @t110 @t4 tptp.tc_nat) @t35))) % 0.94/1.26 (assume @p26 (forall @t113 (or @t112 (= @t111 @t9)))) % 0.94/1.26 (assume @p27 (forall @t118 (or (= @t117 (tptp.c_Lambda_OdB_OVar @t115)) @t114))) % 0.94/1.26 (assume @p28 (forall (@list @t8 @t63 @t100 @t103 @t39) (or @t124 (not (= @t123 (tptp.hAPP @t121 @t39))) (= @t120 @t39)))) % 0.94/1.26 (assume @p29 (forall @t128 (or @t112 (= (tptp.c_Power_Opower__class_Opower @t32 @t127 @t8) (tptp.c_HOL_Otimes__class_Otimes @t125 @t36 @t8))))) % 0.94/1.26 (assume @p30 (forall @t68 (or @t34 @t69 (not @t129)))) % 0.94/1.26 (assume @p31 (forall @t96 (or @t136 @t135))) % 0.94/1.26 (assume @p32 (forall @t141 (or @t136 (= @t140 (tptp.hAPP @t138 (tptp.hAPP @t48 @t137)))))) % 0.94/1.26 (assume @p33 (forall @t96 (or @t136 (= @t134 (tptp.hAPP @t143 @t47))))) % 0.94/1.26 (assume @p34 (forall @t141 (or @t136 (= @t140 (tptp.hAPP @t143 @t137))))) % 0.94/1.26 (assume @p35 (forall @t96 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t8)) @t135))) % 0.94/1.26 (assume @p36 (forall @t96 (or @t144 (= @t132 (tptp.hAPP @t130 @t142))))) % 0.94/1.26 (assume @p37 (forall @t96 (or @t144 @t135))) % 0.94/1.26 (assume @p38 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t42 @t127) @t13) (tptp.hAPP @t126 @t146)))) % 0.94/1.26 (assume @p39 (forall @t152 (= (tptp.hAPP @t148 @t151) (tptp.hAPP @t150 @t149)))) % 0.94/1.26 (assume @p40 (forall @t153 (or @t124 (= @t123 (tptp.hAPP @t121 @t120))))) % 0.94/1.26 (assume @p41 (forall @t153 (or @t136 (= @t123 (tptp.hAPP (tptp.hAPP @t28 @t154) @t103))))) % 0.94/1.26 (assume @p42 (forall (@list @t8 @t103 @t63 @t100) (or @t157 (tptp.c_HOL_Oord__class_Oless @t103 @t63 @t8) (not (tptp.c_HOL_Oord__class_Oless @t103 @t100 @t8)) @t156))) % 0.94/1.26 (assume @p43 (forall (@list @t8 @t63 @t103 @t100) (or @t160 (tptp.c_HOL_Oord__class_Oless @t63 @t103 @t8) (not (tptp.c_HOL_Oord__class_Oless @t100 @t103 @t8)) @t159))) % 0.94/1.26 (assume @p44 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t165 @t9 @t8) @t163 @t162))) % 0.94/1.26 (assume @p45 (forall @t96 (or @t79 (= @t95 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t98 @t93) @t45 @t8))))) % 0.94/1.26 (assume @p46 (forall @t75 (or @t136 (= @t167 @t166)))) % 0.94/1.26 (assume @p47 (forall @t7 (= @t5 @t168))) % 0.94/1.26 (assume @p48 (forall @t170 (or @t136 (= @t169 (tptp.c_HOL_Otimes__class_Otimes @t100 @t63 @t8))))) % 0.94/1.26 (assume @p49 (forall @t175 (or @t136 (= @t174 @t173)))) % 0.94/1.26 (assume @p50 (forall @t177 (or @t136 (= (tptp.c_Power_Opower__class_Opower @t63 @t164 @t8) (tptp.c_HOL_Otimes__class_Otimes @t63 @t176 @t8))))) % 0.94/1.26 (assume @p51 (forall @t38 (or @t179 (= @t165 @t178)))) % 0.94/1.26 (assume @p52 (forall @t38 (or @t112 (= @t165 @t180)))) % 0.94/1.26 (assume @p53 (forall @t183 (or @t136 (= (tptp.c_Power_Opower__class_Opower @t182 @t171 @t8) (tptp.c_Power_Opower__class_Opower @t63 (tptp.c_HOL_Otimes__class_Otimes @t181 @t171 tptp.tc_nat) @t8))))) % 0.94/1.26 (assume @p54 (forall @t186 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t116) @t53) @t13) @t116) @t185 @t184))) % 0.94/1.26 (assume @p55 (forall @t188 (or @t187 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 tptp.tc_nat) @t2 tptp.tc_nat)))) % 0.94/1.26 (assume @p56 (forall @t188 (or @t187 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t1 @t2 tptp.tc_nat) @t2 tptp.tc_nat)))) % 0.94/1.26 (assume @p57 (forall @t153 (or @t192 @t191 (= @t190 (tptp.hAPP (tptp.hAPP @t28 @t189) @t169))))) % 0.94/1.26 (assume @p58 (forall (@list @t8 @t63 @t45 @t137) (or @t192 @t191 (= (tptp.hAPP (tptp.hAPP @t28 @t193) @t194) (tptp.hAPP (tptp.hAPP @t28 @t194) @t193))))) % 0.94/1.26 (assume @p59 (forall (@list @t63 @t45 @t137) (= (tptp.hAPP (tptp.hAPP @t42 @t195) @t196) (tptp.hAPP (tptp.hAPP @t42 @t196) @t195)))) % 0.94/1.26 (assume @p60 (forall @t152 (= (tptp.hAPP (tptp.hAPP @t42 @t197) @t198) (tptp.hAPP (tptp.hAPP @t42 @t198) @t197)))) % 0.94/1.26 (assume @p61 (forall @t199 (= @t164 (tptp.hAPP @t145 @t1)))) % 0.94/1.26 (assume @p62 (forall @t199 (= @t164 (tptp.hAPP (tptp.hAPP @t42 @t1) @t4)))) % 0.94/1.26 (assume @p63 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t200 @t47 @t8) @t200)))) % 0.94/1.26 (assume @p64 (forall @t201 (or @t10 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_Power_Opower__class_Opower @t2 @t4 tptp.tc_nat) @t8) (tptp.c_Power_Opower__class_Opower @t27 @t4 @t8))))) % 0.94/1.26 (assume @p65 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t32 @t8) @t9) @t202))) % 0.94/1.26 (assume @p66 (forall @t75 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t166 @t8)))) % 0.94/1.26 (assume @p67 (forall @t75 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t167 @t8)))) % 0.94/1.26 (assume @p68 (forall (@list @t8 @t47 @t13) (or (not (tptp.class_Ring__and__Field_Odvd @t8)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 (tptp.c_HOL_Otimes__class_Otimes @t47 @t13 @t8) @t8)))) % 0.94/1.26 (assume @p69 (forall @t85 (or @t136 @t203))) % 0.94/1.26 (assume @p70 (forall @t85 (or @t136 @t204))) % 0.94/1.26 (assume @p71 (forall @t85 (or @t112 @t204))) % 0.94/1.26 (assume @p72 (forall @t85 (or @t112 @t203))) % 0.94/1.26 (assume @p73 (forall @t85 (or @t205 @t203))) % 0.94/1.26 (assume @p74 (forall @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t1 @t4 tptp.tc_nat) @t4))) % 0.94/1.26 (assume @p75 (forall @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t4 @t1 tptp.tc_nat) @t4))) % 0.94/1.26 (assume @p76 (forall @t206 (or @t136 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t63 @t8) @t63)))) % 0.94/1.26 (assume @p77 (forall (@list @t208 @t8) (tptp.c_List_Olistsp @t208 @t207 @t8))) % 0.94/1.26 (assume @p78 (forall @t7 (or (= (tptp.c_Divides_Odiv__class_Odiv @t5 @t4 tptp.tc_nat) @t2) @t35))) % 0.94/1.26 (assume @p79 (forall @t68 (or (= (tptp.c_Divides_Odiv__class_Odiv @t168 @t4 tptp.tc_nat) @t2) @t35))) % 0.94/1.26 (assume @p80 (forall @t211 (or @t192 @t210 @t77))) % 0.94/1.26 (assume @p81 (forall @t215 (or @t192 @t214 @t77))) % 0.94/1.26 (assume @p82 (forall @t20 (or @t218 @t217))) % 0.94/1.26 (assume @p83 (forall @t211 (or @t79 (= @t220 @t219)))) % 0.94/1.26 (assume @p84 (forall @t153 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t154 @t103 @t8) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Divides_Odiv__class_Odiv @t63 @t103 @t8)) (tptp.c_Divides_Odiv__class_Odiv @t100 @t103 @t8))) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t100 @t8)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t63 @t8))))) % 0.94/1.26 (assume @p85 (forall @t83 (or @t79 (= (tptp.hAPP (tptp.hAPP @t28 @t222) @t45) @t142)))) % 0.94/1.26 (assume @p86 (forall @t96 (or @t79 (= (tptp.hAPP (tptp.hAPP @t28 @t224) @t45) @t142)))) % 0.94/1.26 (assume @p87 (forall @t225 (tptp.c_HOL_Oord__class_Oless @t41 (tptp.c_Suc (tptp.hAPP @t43 @t2)) tptp.tc_nat))) % 0.94/1.26 (assume @p88 (forall @t225 (tptp.c_HOL_Oord__class_Oless @t41 (tptp.c_Suc (tptp.hAPP @t126 @t41)) tptp.tc_nat))) % 0.94/1.26 (assume @p89 (forall (@list @t2 @t63) (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t126 @t63)) tptp.tc_nat))) % 0.94/1.26 (assume @p90 (forall @t228 (= (tptp.c_Lambda_OdB_OdB__size @t227) @t14))) % 0.94/1.26 (assume @p91 (forall (@list @t8 @t32 @t229 @t4) (or @t37 (tptp.c_HOL_Oord__class_Oless @t231 @t36 @t8) @t163 @t162 @t230))) % 0.94/1.26 (assume @p92 (forall @t152 (or @t234 @t233))) % 0.94/1.26 (assume @p93 (forall @t152 (or @t234 (not (tptp.c_HOL_Oord__class_Oless @t63 @t103 tptp.tc_nat))))) % 0.94/1.26 (assume @p94 (forall @t235 (or @t114 (not (tptp.c_HOL_Oord__class_Oless @t44 @t13 tptp.tc_nat))))) % 0.94/1.26 (assume @p95 (forall (@list @t41 @t40 @t2) (or (tptp.c_HOL_Oord__class_Oless @t41 (tptp.hAPP @t50 @t2) tptp.tc_nat) @t236))) % 0.94/1.26 (assume @p96 (forall (@list @t41 @t2 @t40) (or (tptp.c_HOL_Oord__class_Oless @t41 (tptp.hAPP @t126 @t40) tptp.tc_nat) @t236))) % 0.94/1.26 (assume @p97 (forall @t241 (or @t79 @t240 @t239 @t238))) % 0.94/1.26 (assume @p98 (forall @t241 (or @t79 @t237 @t242 @t239))) % 0.94/1.26 (assume @p99 (forall @t241 (or @t79 @t240 @t238 @t239))) % 0.94/1.26 (assume @p100 (forall @t241 (or @t79 @t237 @t239 @t242))) % 0.94/1.26 (assume @p101 (forall (@list @t13 @t2) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t18) @t13 tptp.tc_nat) @t1) (not (tptp.c_HOL_Oord__class_Oless @t1 @t13 tptp.tc_nat))))) % 0.94/1.26 (assume @p102 (= @t1 @t243)) % 0.94/1.26 (assume @p103 (forall @t247 (= (tptp.c_Lambda_Osubstn @t246 @t53 @t13) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t56 @t53 @t245))))) % 0.94/1.26 (assume @p104 (forall (@list @t8 @t32 @t45) (or @t136 (= @t142 @t248)))) % 0.94/1.26 (assume @p105 (forall @t75 (or @t144 (= @t49 @t249)))) % 0.94/1.26 (assume @p106 (forall @t7 (= @t127 (tptp.hAPP @t145 @t2)))) % 0.94/1.26 (assume @p107 (forall (@list @t2 @t250 @t13 @t4) (or (not (= (tptp.hAPP @t126 @t250) @t252)) @t251 @t86))) % 0.94/1.26 (assume @p108 (forall @t170 (or @t136 (= @t154 (tptp.hAPP @t121 @t63))))) % 0.94/1.26 (assume @p109 (forall @t113 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t9 @t111 @t8)))) % 0.94/1.26 (assume @p110 (forall @t201 (or (not (tptp.class_Nat_Osemiring__char__0 @t8)) (not (= @t27 @t253)) @t12))) % 0.94/1.26 (assume @p111 (forall (@list @t46 @t41 @t254) (or (= (tptp.hAPP @t46 @t41) @t254) (not (tptp.c_Type_Otyping @t46 @t116 @t254))))) % 0.94/1.26 (assume @p112 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t200 @t47 @t8) @t70)))) % 0.94/1.26 (assume @p113 (forall @t7 (or @t256 @t87 @t35))) % 0.94/1.26 (assume @p114 (forall @t96 (or @t79 (= @t219 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t97 @t93 @t8) @t45 @t8))))) % 0.94/1.26 (assume @p115 (forall @t38 (or @t112 (= @t180 @t178)))) % 0.94/1.26 (assume @p116 (forall @t183 (or @t136 (= (tptp.c_HOL_Otimes__class_Otimes @t182 @t172 @t8) (tptp.c_Power_Opower__class_Opower @t63 (tptp.hAPP (tptp.hAPP @t42 @t181) @t171) @t8))))) % 0.94/1.26 (assume @p117 (forall @t96 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t259 @t47 @t8) @t258) @t257))) % 0.94/1.26 (assume @p118 (forall @t211 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t260 @t47 @t8) @t258) @t257))) % 0.94/1.26 (assume @p119 (forall @t31 (or @t136 (= (tptp.hAPP @t262 @t2) (tptp.c_HOL_Otimes__class_Otimes @t261 @t2 @t8))))) % 0.94/1.26 (assume @p120 (forall @t147 (or @t86 (not @t91)))) % 0.94/1.26 (assume @p121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t1 @t1 tptp.tc_nat)) % 0.94/1.26 (assume @p122 (forall @t152 (or (not (= (tptp.hAPP @t148 @t100) @t149)) @t263))) % 0.94/1.26 (assume @p123 (forall @t264 (or (not (= (tptp.hAPP @t126 @t13) @t146)) @t12))) % 0.94/1.26 (assume @p124 (forall @t20 (or (not (= @t265 @t252)) @t12))) % 0.94/1.26 (assume @p125 (forall @t153 (or @t192 @t191 (not (= @t154 @t120)) @t263))) % 0.94/1.26 (assume @p126 (forall @t96 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t8)) @t267 @t266))) % 0.94/1.26 (assume @p127 (forall @t96 (or @t268 @t267 @t266))) % 0.94/1.26 (assume @p128 (forall @t83 (or @t268 (not (= @t249 @t248)) @t266))) % 0.94/1.26 (assume @p129 (forall (@list @t8 @t63 @t4 @t100) (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t176 @t269 @t8) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t63 @t100 @t8))))) % 0.94/1.26 (assume @p130 (forall @t96 (or @t79 (= @t219 @t220)))) % 0.94/1.26 (assume @p131 (forall @t96 (or @t79 (= @t219 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t32 @t93 @t8) @t45 @t8))))) % 0.94/1.26 (assume @p132 (forall @t274 (or @t79 @t273 (not @t272) @t271 @t77))) % 0.94/1.26 (assume @p133 (forall @t83 (or @t79 @t272 @t275 @t271 @t77))) % 0.94/1.26 (assume @p134 (forall @t7 (or @t256 @t87))) % 0.94/1.26 (assume @p135 (forall @t170 (or @t84 @t279 @t276))) % 0.94/1.26 (assume @p136 (forall @t170 (or @t84 @t279 @t280))) % 0.94/1.26 (assume @p137 (forall (@list @t8 @t32 @t47 @t45 @t137) (or @t136 (= (tptp.hAPP @t133 @t139) (tptp.hAPP @t143 @t281))))) % 0.94/1.26 (assume @p138 (forall @t285 (= (tptp.c_Nat_Osize__class_Osize @t284 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_Nat_Osize__class_Osize @t283 tptp.tc_Lambda_OdB)) @t282)))) % 0.94/1.26 (assume @p139 (forall @t31 (or @t37 (not (tptp.c_HOL_Oord__class_Oless @t27 @t70 @t8))))) % 0.94/1.26 (assume @p140 (forall @t288 (or (= @t287 @t116) @t286))) % 0.94/1.26 (assume @p141 (forall @t96 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t131 @t8) @t271 @t77))) % 0.94/1.26 (assume @p142 (forall @t215 (or @t84 @t292 @t291 @t290))) % 0.94/1.26 (assume @p143 (forall @t83 (or @t84 @t294 @t293 @t290))) % 0.94/1.26 (assume @p144 (forall @t215 (or @t84 @t292 @t291 @t296))) % 0.94/1.26 (assume @p145 (forall @t83 (or @t84 @t294 @t293 @t296))) % 0.94/1.26 (assume @p146 (= @t243 @t1)) % 0.94/1.26 (assume @p147 (forall @t80 (or @t79 (= (tptp.c_HOL_Otimes__class_Otimes @t82 @t32 @t8) @t47) @t77))) % 0.94/1.26 (assume @p148 (forall @t75 (or @t79 (= (tptp.c_HOL_Otimes__class_Otimes @t32 @t82 @t8) @t47) @t77))) % 0.94/1.26 (assume @p149 (forall @t118 (or (= @t117 @t116) @t286))) % 0.94/1.26 (assume @p150 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t178 @t36 @t8) @t163 @t162))) % 0.94/1.26 (assume @p151 (forall @t109 (or @t108 (= (tptp.c_Lambda_Osubstn @t65 @t53 @t63) (tptp.c_Lambda_Oliftn @t63 @t53 @t14))))) % 0.94/1.26 (assume @p152 (forall @t62 (or (= @t61 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t57 @t115)) @t55) @t40)) (not (tptp.c_HOL_Oord__class_Oless @t40 @t115 tptp.tc_nat))))) % 0.94/1.26 (assume @p153 (forall (@list @t56 @t41 @t13) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t58) @t88) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t297) @t41)) (not (tptp.c_HOL_Oord__class_Oless @t41 @t245 tptp.tc_nat))))) % 0.94/1.26 (assume @p154 (forall @t20 (= (tptp.c_HOL_Otimes__class_Otimes @t13 @t110 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t18 @t17 tptp.tc_nat)))) % 0.94/1.26 (assume @p155 (forall @t147 (= (tptp.c_HOL_Otimes__class_Otimes @t110 @t13 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t22 @t21 tptp.tc_nat)))) % 0.94/1.26 (assume @p156 (forall @t264 (or @t23 @t87 @t16))) % 0.94/1.26 (assume @p157 (forall @t20 (or @t25 @t87 @t16))) % 0.94/1.26 (assume @p158 (forall (@list @t13 @t41 @t40) (or (tptp.c_HOL_Oord__class_Oless @t298 (tptp.c_HOL_Otimes__class_Otimes @t13 @t40 tptp.tc_nat) tptp.tc_nat) @t16 @t236))) % 0.94/1.26 (assume @p159 (forall @t235 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t41 @t13 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t40 @t13 tptp.tc_nat) tptp.tc_nat) @t16 @t236))) % 0.94/1.26 (assume @p160 (forall @t147 (or @t86 @t26 @t16))) % 0.94/1.26 (assume @p161 (forall @t83 (or @t84 @t294 @t290 @t299))) % 0.94/1.26 (assume @p162 (forall @t215 (or @t84 @t289 @t300 @t299))) % 0.94/1.26 (assume @p163 (forall @t96 (or @t84 @t293 @t290 @t301))) % 0.94/1.26 (assume @p164 (forall @t215 (or @t84 @t289 @t302 @t301))) % 0.94/1.26 (assume @p165 (forall @t215 (or @t84 @t289 @t299 @t300))) % 0.94/1.26 (assume @p166 (forall @t215 (or @t303 @t289 @t301 @t302))) % 0.94/1.26 (assume @p167 (forall @t211 (or @t84 @t295 @t299 @t300))) % 0.94/1.26 (assume @p168 (forall @t211 (or @t303 @t295 @t301 @t302))) % 0.94/1.26 (assume @p169 (forall @t211 (or @t84 @t295 @t302 @t301))) % 0.94/1.26 (assume @p170 (forall @t211 (or @t84 @t295 @t300 @t299))) % 0.94/1.26 (assume @p171 (forall @t215 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t8)) @t289 @t301 @t302))) % 0.94/1.26 (assume @p172 (forall @t306 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t42 @t32) @t47) @t45 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t42 (tptp.c_Divides_Odiv__class_Odiv @t32 @t45 tptp.tc_nat)) @t305)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t42 (tptp.c_Divides_Odiv__class_Omod @t32 @t45 tptp.tc_nat)) @t304) @t45 tptp.tc_nat))))) % 0.94/1.26 (assume @p173 (forall (@list @t2 @t4 @t41) (or @t86 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t41 @t2 tptp.tc_nat) (tptp.c_Power_Opower__class_Opower @t41 @t4 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t14 @t41 tptp.tc_nat))))) % 0.94/1.26 (assume @p174 (forall @t215 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t213 @t212 @t8) @t221) @t307))) % 0.94/1.26 (assume @p175 (forall @t211 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t209 @t81 @t8) @t221) @t307))) % 0.94/1.26 (assume @p176 (forall @t20 (or @t309 @t308))) % 0.94/1.26 (assume @p177 (forall (@list @t311 @t39 @t312 @t41 @t56 @t254) (or (not (tptp.c_Type_Otyping @t311 @t39 @t312)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t311 @t41 @t312 tptp.tc_Type_Otype) @t56 @t254)) (tptp.c_Type_Otyping @t311 @t310 @t254)))) % 0.94/1.26 (assume @p178 (forall @t11 (or @t37 (tptp.c_HOL_Oord__class_Oless @t70 @t261 @t8)))) % 0.94/1.26 (assume @p179 (forall @t314 (= (tptp.c_Divides_Odiv__class_Omod @t313 @t4 tptp.tc_nat) @t110))) % 0.94/1.26 (assume @p180 (forall @t211 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t260 @t47 @t8) @t200)))) % 0.94/1.26 (assume @p181 (forall @t96 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t259 @t47 @t8) @t200)))) % 0.94/1.26 (assume @p182 (forall (@list @t8 @t32 @t2 @t47) (or @t136 (= (tptp.hAPP @t316 (tptp.c_HOL_Otimes__class_Otimes @t47 @t2 @t8)) (tptp.c_HOL_Otimes__class_Otimes @t49 @t2 @t8))))) % 0.94/1.26 (assume @p183 (forall @t68 (or @t35 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Otimes__class_Otimes @t4 (tptp.c_Suc @t255) tptp.tc_nat) tptp.tc_nat)))) % 0.94/1.26 (assume @p184 (forall @t147 (or @t216 @t308 @t317))) % 0.94/1.26 (assume @p185 (forall @t96 (or @t192 @t76 @t307 (not @t214)))) % 0.94/1.26 (assume @p186 (forall @t96 (or @t192 @t76 @t307 (not @t210)))) % 0.94/1.26 (assume @p187 (forall @t80 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t249 @t47 @t8) @t318) @t257))) % 0.94/1.26 (assume @p188 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t49 @t47 @t8) @t318) @t257))) % 0.94/1.26 (assume @p189 (forall @t11 (or @t84 (not (tptp.c_HOL_Oord__class_Oless @t70 @t320 @t8))))) % 0.94/1.26 (assume @p190 (forall @t322 (tptp.c_HOL_Oord__class_Oless @t14 @t321 tptp.tc_nat))) % 0.94/1.26 (assume @p191 (forall @t325 (or (tptp.c_Lambda_Obeta @t324 @t246) @t323))) % 0.94/1.26 (assume @p192 (forall @t201 (or @t37 (tptp.c_HOL_Oord__class_Oless @t9 (tptp.c_HOL_Otimes__class_Otimes @t2 @t4 @t8) @t8) (not (tptp.c_HOL_Oord__class_Oless @t9 @t4 @t8)) (not (tptp.c_HOL_Oord__class_Oless @t9 @t2 @t8))))) % 0.94/1.26 (assume @p193 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t9 @t8) @t32)))) % 0.94/1.26 (assume @p194 (forall @t329 (or @t328 @t308 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Divides_Odiv__class_Omod @t327 @t13 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t326 @t40))))) % 0.94/1.26 (assume @p195 (forall @t7 (or @t129 @t35))) % 0.94/1.26 (assume @p196 (forall @t7 (or @t129 @t187))) % 0.94/1.26 (assume @p197 (forall @t85 (or @t332 @t161 (not @t331)))) % 0.94/1.26 (assume @p198 (forall @t85 (or @t332 @t331 @t162))) % 0.94/1.26 (assume @p199 (forall @t107 (or @t106 @t104 @t102 @t101))) % 0.94/1.26 (assume @p200 (forall @t107 (or @t106 @t105 @t104 @t101))) % 0.94/1.26 (assume @p201 (forall @t38 (or @t336 @t335 @t334 @t179 @t333 @t202))) % 0.94/1.26 (assume @p202 (forall @t38 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t8)) @t333 @t202))) % 0.94/1.26 (assume @p203 (forall @t206 (or @t136 (= (tptp.c_HOL_Otimes__class_Otimes @t70 @t63 @t8) @t70)))) % 0.94/1.26 (assume @p204 (forall @t85 (or @t334 @t338))) % 0.94/1.26 (assume @p205 (forall @t85 (or @t334 @t340))) % 0.94/1.26 (assume @p206 (forall (@list @t8 @t47) (or @t342 (= @t341 @t70)))) % 0.94/1.26 (assume @p207 (forall @t85 (or @t342 @t340))) % 0.94/1.26 (assume @p208 (forall @t85 (or @t136 @t340))) % 0.94/1.26 (assume @p209 (forall @t85 (or @t136 @t338))) % 0.94/1.26 (assume @p210 (forall @t85 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t70 @t8)))) % 0.94/1.26 (assume @p211 (forall @t11 (or @t336 (not (= @t9 @t70))))) % 0.94/1.26 (assume @p212 (forall @t75 (or @t335 @t343 @t202 @t257))) % 0.94/1.26 (assume @p213 (forall @t75 (or @t335 @t343 @t257 @t202))) % 0.94/1.26 (assume @p214 (forall @t75 (or @t342 @t343 @t257 @t202))) % 0.94/1.26 (assume @p215 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t70 @t8) @t70)))) % 0.94/1.26 (assume @p216 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t70 @t32 @t8) @t70)))) % 0.94/1.26 (assume @p217 (forall (@list @t226 @t344) (not (= @t227 @t345)))) % 0.94/1.26 (assume @p218 (forall @t206 (or @t136 (= (tptp.c_Power_Opower__class_Opower @t63 @t1 @t8) @t63)))) % 0.94/1.26 (assume @p219 (forall @t85 (or @t112 (= (tptp.c_Power_Opower__class_Opower @t32 @t1 @t8) @t32)))) % 0.94/1.26 (assume @p220 (forall @t350 (or @t79 @t349 @t348 (= @t95 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t28 @t347) @t346) @t45 @t8))))) % 0.94/1.26 (assume @p221 (forall @t85 (or @t332 @t351 @t72))) % 0.94/1.26 (assume @p222 (forall @t85 (or @t332 @t71 @t352))) % 0.94/1.26 (assume @p223 (forall @t85 (or @t353 @t71 @t352))) % 0.94/1.26 (assume @p224 (forall @t85 (or @t353 @t351 @t72))) % 0.94/1.26 (assume @p225 (forall @t80 (or @t303 @t354 @t162 (not (tptp.c_HOL_Oord__class_Oless @t70 @t166 @t8))))) % 0.94/1.26 (assume @p226 (forall @t80 (or @t303 @t354 @t162 (not @t355)))) % 0.94/1.26 (assume @p227 (forall @t75 (or @t303 @t355 @t356 @t162))) % 0.94/1.26 (assume @p228 (forall @t75 (or @t84 @t355 @t73 @t72))) % 0.94/1.26 (assume @p229 (forall @t7 (or @t66 @t35 @t187))) % 0.94/1.26 (assume @p230 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t70 @t36 @t8) @t162))) % 0.94/1.26 (assume @p231 (forall @t359 (or @t358 (not @t357)))) % 0.94/1.26 (assume @p232 (forall @t7 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t164 tptp.tc_nat) (tptp.hAPP @t126 @t5)))) % 0.94/1.26 (assume @p233 (forall @t7 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t4 tptp.tc_nat) (tptp.hAPP @t145 @t5)))) % 0.94/1.26 (assume @p234 (forall @t329 (or @t328 @t308 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Divides_Odiv__class_Odiv @t327 @t13 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t326 @t41))))) % 0.94/1.26 (assume @p235 (forall (@list @t8 @t63 @t100 @t4) (or @t79 (= (tptp.c_Power_Opower__class_Opower @t361 @t4 @t8) (tptp.c_Divides_Odiv__class_Odiv @t176 @t269 @t8)) @t360))) % 0.94/1.26 (assume @p236 (forall (@list @t46 @t63 @t254 @t8) (= (tptp.hAPP (tptp.c_Type_Oshift @t46 @t63 @t254 @t8) @t63) @t254))) % 0.94/1.26 (assume @p237 (forall @t186 (or (= (tptp.c_Lambda_Osubstn @t116 @t53 @t13) @t116) @t185 @t184))) % 0.94/1.26 (assume @p238 (forall @t11 (or @t37 (not (tptp.c_HOL_Oord__class_Oless @t9 @t70 @t8))))) % 0.94/1.26 (assume @p239 (forall (@list @t283 @t344) (or (not (= @t284 @t345)) (= @t283 @t344)))) % 0.94/1.26 (assume @p240 (forall @t170 (or @t84 (not (tptp.c_HOL_Oord__class_Oless @t278 @t70 @t8))))) % 0.94/1.26 (assume @p241 (forall @t201 (or @t10 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t5 @t8) (tptp.c_HOL_Otimes__class_Otimes @t27 @t253 @t8))))) % 0.94/1.26 (assume @p242 (forall @t314 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t313) @t4 tptp.tc_nat) @t362))) % 0.94/1.26 (assume @p243 (forall (@list @t8 @t363 @t100 @t63 @t103) (or @t192 @t191 (not (= (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t363 @t100 @t8)) @t189) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t363 @t103 @t8)) @t169))) @t263 @t364))) % 0.94/1.26 (assume @p244 (forall @t369 (or @t192 @t191 (not (= (tptp.hAPP @t368 @t367) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t32 @t137 @t8)) @t81))) @t366 @t365))) % 0.94/1.26 (assume @p245 (forall (@list @t32 @t45 @t47 @t137) (or (not (= (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t32 @t45 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t47 @t137 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t32 @t137 tptp.tc_nat)) @t370))) @t366 @t365))) % 0.94/1.26 (assume @p246 (forall (@list @t363 @t100 @t63 @t103) (or (not (= (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t363 @t100 tptp.tc_nat)) @t198) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t363 @t103 tptp.tc_nat)) @t197))) @t263 @t364))) % 0.94/1.26 (assume @p247 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t167 @t47 @t8) @t32) @t257))) % 0.94/1.26 (assume @p248 (forall @t80 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t166 @t47 @t8) @t32) @t257))) % 0.94/1.26 (assume @p249 (forall @t7 (or (not (= @t2 @t5)) @t371 @t92))) % 0.94/1.26 (assume @p250 (forall @t350 (or @t79 @t349 @t348 (= @t219 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t347 @t346 @t8) @t45 @t8))))) % 0.94/1.26 (assume @p251 (forall @t380 (or @t136 (= @t379 (tptp.c_HOL_Otimes__class_Otimes @t376 (tptp.c_HOL_Otimes__class_Otimes @t373 @t372 @t8) @t8))))) % 0.94/1.26 (assume @p252 (forall @t380 (or @t136 (= @t379 (tptp.c_HOL_Otimes__class_Otimes @t375 (tptp.c_HOL_Otimes__class_Otimes @t373 @t377 @t8) @t8))))) % 0.94/1.26 (assume @p253 (forall @t380 (or @t136 (= @t379 (tptp.c_HOL_Otimes__class_Otimes @t374 (tptp.c_HOL_Otimes__class_Otimes @t378 @t372 @t8) @t8))))) % 0.94/1.26 (assume @p254 (forall (@list @t8 @t32 @t2) (or @t136 (= (tptp.hAPP @t316 @t2) @t382)))) % 0.94/1.26 (assume @p255 (forall (@list @t8 @t2 @t32) (or @t136 (= (tptp.hAPP @t262 @t315) @t382)))) % 0.94/1.26 (assume @p256 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t32 @t9 @t8) @t70)))) % 0.94/1.26 (assume @p257 (forall @t385 (or @t384 (not @t383)))) % 0.94/1.26 (assume @p258 (forall @t385 (or @t383 (not @t384)))) % 0.94/1.26 (assume @p259 (forall @t7 (or (= @t110 @t2) @t87))) % 0.94/1.26 (assume @p260 (forall @t322 (not @t108))) % 0.94/1.26 (assume @p261 (forall @t199 (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 tptp.tc_nat)))) % 0.94/1.26 (assume @p262 (forall @t206 (or @t157 @t386))) % 0.94/1.26 (assume @p263 (forall @t206 (or @t387 @t386))) % 0.94/1.26 (assume @p264 (forall @t206 (or @t160 @t386))) % 0.94/1.26 (assume @p265 (forall @t288 (or (= @t287 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t43 @t4))) @t114))) % 0.94/1.26 (assume @p266 (forall @t75 (or @t74 (tptp.c_HOL_Oord__class_Oless @t70 @t49 @t8) @t356 @t162))) % 0.94/1.26 (assume @p267 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t9 @t178 @t8) @t33))) % 0.94/1.26 (assume @p268 (forall (@list @t4 @t53 @t13) (= (tptp.c_Lambda_Oliftn @t4 @t324 @t13) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t4 @t53 @t245))))) % 0.94/1.26 (assume @p269 (forall @t389 (or @t353 @t155 @t158 @t388))) % 0.94/1.26 (assume @p270 (forall @t170 (or @t387 @t388 @t155 @t158))) % 0.94/1.26 (assume @p271 (forall @t391 (or @t388 @t390 @t101))) % 0.94/1.26 (assume @p272 (forall @t392 (or @t390 @t388 @t101))) % 0.94/1.26 (assume @p273 (forall @t7 (or @t12 @t393 @t217))) % 0.94/1.26 (assume @p274 (forall @t68 (or @t394 @t86 @t12))) % 0.94/1.26 (assume @p275 (forall (@list @t326 @t4 @t2) (or (tptp.hBOOL (tptp.hAPP @t395 @t2)) @t394 @t12 @t86))) % 0.94/1.26 (assume @p276 (forall @t391 (or @t388 @t101 @t390))) % 0.94/1.26 (assume @p277 (forall @t398 (or @t397 @t365 @t396))) % 0.94/1.26 (assume @p278 (forall @t398 (or @t397 @t396 @t365))) % 0.94/1.26 (assume @p279 (forall @t392 (or (tptp.c_HOL_Oord__class_Oless @t100 @t63 tptp.tc_nat) @t232 @t388))) % 0.94/1.26 (assume @p280 (forall @t389 (or @t387 @t155 @t158 @t388))) % 0.94/1.26 (assume @p281 (forall @t389 (or @t387 @t155 @t388 @t158))) % 0.94/1.26 (assume @p282 (forall @t170 (or @t387 @t388 @t158 @t155))) % 0.94/1.26 (assume @p283 (forall @t68 (or @t393 @t87 @t187))) % 0.94/1.26 (assume @p284 (forall @t369 (or @t399 (tptp.c_HOL_Oord__class_Oless @t142 @t281 @t8) (not (tptp.c_HOL_Oord__class_Oless @t45 @t137 @t8)) @t302))) % 0.94/1.26 (assume @p285 (forall (@list @t41 @t13 @t40 @t250) (or (tptp.c_HOL_Oord__class_Oless @t400 (tptp.hAPP @t50 @t250) tptp.tc_nat) @t251 @t236))) % 0.94/1.26 (assume @p286 (forall @t211 (or @t136 @t270 @t275 @t77))) % 0.94/1.26 (assume @p287 (forall @t85 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t32 @t32 @t8)))) % 0.94/1.26 (assume @p288 (forall @t322 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t63 @t63 tptp.tc_nat))) % 0.94/1.26 (assume @p289 (forall @t402 (or @t401 @t105 @t104 @t102 @t101))) % 0.94/1.26 (assume @p290 (forall @t402 (or @t401 @t104 @t101))) % 0.94/1.26 (assume @p291 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t9 @t165 @t8) @t33))) % 0.94/1.26 (assume @p292 (forall (@list @t41 @t56) (not (tptp.c_Lambda_Obeta @t116 @t56)))) % 0.94/1.26 (assume @p293 (forall @t201 (or @t37 @t403 @t87))) % 0.94/1.26 (assume @p294 (forall @t201 (or @t37 @t86 (not @t403)))) % 0.94/1.26 (assume @p295 (forall @t75 (or @t192 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t339 (tptp.c_HOL_Otimes__class_Otimes @t47 @t70 @t8) @t8)))) % 0.94/1.26 (assume @p296 (forall @t75 (or @t192 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t337 @t341 @t8)))) % 0.94/1.26 (assume @p297 (forall @t7 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t405 @t404 tptp.tc_nat))) % 0.94/1.26 (assume @p298 (forall @t11 (or @t37 (tptp.c_HOL_Oord__class_Oless @t70 @t9 @t8)))) % 0.94/1.26 (assume @p299 (forall @t306 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t32 @t47 tptp.tc_nat) @t45 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t32 @t305 tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t32 @t304 tptp.tc_nat) @t45 tptp.tc_nat))))) % 0.94/1.26 (assume @p300 (forall @t147 (or @t86 @t26))) % 0.94/1.26 (assume @p301 (forall @t147 (or @t86 @t24))) % 0.94/1.26 (assume @p302 (forall @t20 (or @t218 @t217 @t16))) % 0.94/1.26 (assume @p303 (forall @t147 (or @t216 @t317 @t16))) % 0.94/1.26 (assume @p304 (forall @t147 (or @t216 @t16 @t317))) % 0.94/1.26 (assume @p305 (forall @t85 (or @t37 (tptp.c_HOL_Oord__class_Oless @t32 @t381 @t8)))) % 0.94/1.26 (assume @p306 (forall @t7 (or (tptp.c_HOL_Oord__class_Oless @t255 @t2 tptp.tc_nat) @t187 (not (tptp.c_HOL_Oord__class_Oless @t1 @t4 tptp.tc_nat))))) % 0.94/1.26 (assume @p307 (forall @t170 (or @t406 (= (tptp.c_HOL_Otimes__class_Otimes @t63 @t169 @t8) @t169)))) % 0.94/1.26 (assume @p308 (forall (@list @t8 @t63 @t100 @t363 @t103) (or @t79 (= (tptp.c_HOL_Otimes__class_Otimes @t361 (tptp.c_Divides_Odiv__class_Odiv @t363 @t103 @t8) @t8) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t63 @t363 @t8) @t407 @t8)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t363 @t8)) @t360))) % 0.94/1.26 (assume @p309 (forall (@list @t63 @t4 @t409 @t100 @t408) (or (not (= (tptp.hAPP @t148 (tptp.c_HOL_Otimes__class_Otimes @t4 @t409 tptp.tc_nat)) (tptp.hAPP @t150 (tptp.c_HOL_Otimes__class_Otimes @t4 @t408 tptp.tc_nat)))) (= (tptp.c_Divides_Odiv__class_Omod @t63 @t4 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t100 @t4 tptp.tc_nat))))) % 0.94/1.26 (assume @p310 (forall @t113 (or @t37 @t410 @t35))) % 0.94/1.26 (assume @p311 (forall @t113 (or @t37 @t34 (not @t410)))) % 0.94/1.26 (assume @p312 (forall @t85 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t9 @t32 @t8)))) % 0.94/1.26 (assume @p313 (forall @t128 (or @t37 (not (= @t125 @t36)) @t33 @t12))) % 0.94/1.26 (assume @p314 (forall (@list @t181) (= (tptp.c_Power_Opower__class_Opower @t181 @t14 tptp.tc_nat) @t1))) % 0.94/1.26 (assume @p315 (forall @t85 (or @t179 (= @t411 @t9)))) % 0.94/1.26 (assume @p316 (forall @t85 (or @t332 (not (= @t330 @t70)) @t202))) % 0.94/1.26 (assume @p317 (forall (@list @t8 @t63 @t32) (or @t192 @t191 (not (= @t63 (tptp.hAPP @t119 @t32))) @t202))) % 0.94/1.26 (assume @p318 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t32 @t32 @t8) @t70)))) % 0.94/1.26 (assume @p319 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t32 @t70 @t8) @t32)))) % 0.94/1.26 (assume @p320 (forall @t85 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t70 @t32 @t8) @t70)))) % 0.94/1.26 (assume @p321 (forall @t11 (or @t332 (= (tptp.hAPP @t412 @t70) @t70)))) % 0.94/1.26 (assume @p322 (forall @t11 (or @t336 (not (= @t70 @t9))))) % 0.94/1.26 (assume @p323 (forall @t85 (or @t136 @t202 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t70 @t32 @t8))))) % 0.94/1.26 (assume @p324 (forall @t206 (or @t136 (= (tptp.hAPP @t412 @t63) @t63)))) % 0.94/1.26 (assume @p325 (forall @t85 (or @t144 @t413))) % 0.94/1.26 (assume @p326 (forall @t206 (or @t192 @t191 (= @t63 (tptp.hAPP @t119 @t70))))) % 0.94/1.26 (assume @p327 (forall @t85 (or @t144 @t414))) % 0.94/1.26 (assume @p328 (forall @t85 (or @t415 @t413))) % 0.94/1.26 (assume @p329 (forall @t85 (or @t415 @t414))) % 0.94/1.26 (assume @p330 (forall @t85 (or @t136 @t414))) % 0.94/1.26 (assume @p331 (forall @t85 (or @t136 @t413))) % 0.94/1.26 (assume @p332 (forall @t11 (or @t416 @t179 (= (tptp.c_Power_Opower__class_Opower @t70 @t14 @t8) @t9)))) % 0.94/1.26 (assume @p333 (forall @t419 (or (not @t418) @t417))) % 0.94/1.26 (assume @p334 (forall @t419 (or (not @t417) @t418))) % 0.94/1.26 (assume @p335 (forall @t7 (= @t420 (tptp.c_HOL_Otimes__class_Otimes @t4 @t14 tptp.tc_nat)))) % 0.94/1.26 (assume @p336 (forall @t7 (= @t405 @t404))) % 0.94/1.26 (assume @p337 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t326 @t423)) @t422))) % 0.94/1.26 (assume @p338 (forall @t428 (or @t421 (not (tptp.hBOOL (tptp.hAPP @t326 @t427))) @t426))) % 0.94/1.26 (assume @p339 (not (tptp.c_HOL_Oord__class_Oless @t14 @t14 tptp.tc_nat))) % 0.94/1.26 (assume @p340 (forall (@list @t56 @t13) (= (tptp.c_Lambda_Oliftn @t14 @t56 @t13) @t56))) % 0.94/1.26 (assume @p341 (forall (@list @t326 @t2) (or (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Divides_Odiv__class_Odiv @t2 @t14 tptp.tc_nat))) @t422))) % 0.94/1.26 (assume @p342 (forall @t419 (or @t422 @t429))) % 0.94/1.26 (assume @p343 (forall @t419 (or (not @t429) @t421))) % 0.94/1.26 (assume @p344 (forall @t199 (or @t34 @t430))) % 0.94/1.26 (assume @p345 (forall @t419 (or @t418 (tptp.hBOOL (tptp.hAPP @t326 @t431)) @t422))) % 0.94/1.26 (assume @p346 (forall @t188 (= @t420 @t14))) % 0.94/1.26 (assume @p347 (forall @t199 (= @t404 @t14))) % 0.94/1.26 (assume @p348 (forall @t7 (or (not (= @t5 @t14)) @t430 @t371))) % 0.94/1.26 (assume @p349 (forall @t7 (or @t432 @t430))) % 0.94/1.26 (assume @p350 (forall @t7 (or @t432 @t371))) % 0.94/1.26 (assume @p351 (forall @t264 (or (not (= @t22 @t21)) @t308 @t12))) % 0.94/1.26 (assume @p352 (forall @t20 (or @t19 @t308 @t12))) % 0.94/1.26 (assume @p353 (forall @t20 (or @t19 @t12 @t308))) % 0.94/1.26 (assume @p354 (forall (@list @t63 @t32) (or (not (= @t63 (tptp.hAPP @t148 @t32))) (= @t32 @t14)))) % 0.94/1.26 (assume @p355 (forall @t7 (or (not (= @t127 @t2)) @t430))) % 0.94/1.26 (assume @p356 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t326 @t433)) @t422))) % 0.94/1.26 (assume @p357 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t326 @t434)) @t422))) % 0.94/1.26 (assume @p358 (= (tptp.hAPP @t435 @t14) @t14)) % 0.94/1.26 (assume @p359 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t326 @t436)) @t422))) % 0.94/1.26 (assume @p360 (forall @t188 (not (tptp.c_HOL_Oord__class_Oless @t2 @t14 tptp.tc_nat)))) % 0.94/1.26 (assume @p361 (forall @t199 (not (tptp.c_HOL_Oord__class_Oless @t4 @t14 tptp.tc_nat)))) % 0.94/1.26 (assume @p362 (forall @t425 (or @t424 (tptp.hBOOL (tptp.hAPP @t326 @t437)) @t422))) % 0.94/1.26 (assume @p363 (forall @t322 (= @t63 (tptp.hAPP @t148 @t14)))) % 0.94/1.26 (assume @p364 (forall @t199 (= (tptp.hAPP @t435 @t4) @t4))) % 0.94/1.26 (assume @p365 (forall @t188 (= (tptp.hAPP @t126 @t14) @t2))) % 0.94/1.26 (assume @p366 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t4 @t168 tptp.tc_nat) @t439 @t438))) % 0.94/1.26 (assume @p367 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t4 @t5 tptp.tc_nat) @t439 @t438))) % 0.94/1.26 (assume @p368 (forall @t7 (or (tptp.c_HOL_Oord__class_Oless @t282 @t5 tptp.tc_nat) @t439 @t438))) % 0.94/1.26 (assume @p369 (forall @t20 (or (not (= @t90 @t89)) @t12))) % 0.94/1.26 (assume @p370 (forall @t7 (or @t440 @t87))) % 0.94/1.26 (assume @p371 (forall @t7 (or @t86 (not @t441)))) % 0.94/1.26 (assume @p372 (forall @t7 (= @t362 (tptp.c_Divides_Odiv__class_Omod @t442 @t4 tptp.tc_nat)))) % 0.94/1.26 (assume @p373 (forall @t235 (or (tptp.c_HOL_Oord__class_Oless @t443 @t13 tptp.tc_nat) @t328 @t236))) % 0.94/1.26 (assume @p374 (forall @t322 @t445)) % 0.94/1.26 (assume @p375 (forall @t199 (tptp.c_HOL_Oord__class_Oless @t4 @t164 tptp.tc_nat))) % 0.94/1.26 (assume @p376 (forall @t68 (or (= @t4 @t2) @t447 @t394))) % 0.94/1.26 (assume @p377 (forall @t7 (or @t12 @t447 @t394))) % 0.94/1.26 (assume @p378 (forall @t7 (or @t12 @t86 (not @t440)))) % 0.94/1.26 (assume @p379 (forall @t7 (= @t449 @t448))) % 0.94/1.26 (assume @p380 (forall @t7 (= @t450 @t448))) % 0.94/1.26 (assume @p381 (forall @t7 (or (= @t362 @t442) @t451))) % 0.94/1.26 (assume @p382 (forall @t7 (= @t449 @t450))) % 0.94/1.26 (assume @p383 (forall @t7 (or @t441 (= @t30 @t4) @t87))) % 0.94/1.26 (assume @p384 (forall @t322 (or @t108 @t445))) % 0.94/1.26 (assume @p385 (forall @t7 (or @t87 @t447))) % 0.94/1.26 (assume @p386 (forall @t68 (or @t446 @t86))) % 0.94/1.26 (assume @p387 (forall @t359 (or (tptp.c_HOL_Oord__class_Oless @t444 @t164 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t63 @t4 tptp.tc_nat))))) % 0.94/1.26 (assume @p388 (forall @t7 (or @t86 (not @t452)))) % 0.94/1.26 (assume @p389 (forall @t7 (or @t452 @t87))) % 0.94/1.26 (assume @p390 (forall (@list @t454 @t453 @t344) (not (= @t455 @t345)))) % 0.94/1.26 (assume @p391 (forall (@list @t344 @t454 @t453) (not (= @t345 @t455)))) % 0.94/1.26 (assume @p392 (forall (@list @t226 @t457 @t456) (not (= @t227 @t458)))) % 0.94/1.26 (assume @p393 (forall (@list @t39 @t53 @t56) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t459 @t53) (tptp.hAPP @t459 @t56)) @t323))) % 0.94/1.26 (assume @p394 (forall (@list @t53 @t39 @t56) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t462 @t39) @t461) @t323))) % 0.94/1.26 (assume @p395 (forall (@list @t4 @t53 @t56 @t13) (= (tptp.c_Lambda_Oliftn @t4 @t464 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t4 @t53 @t13)) @t463)))) % 0.94/1.26 (assume @p396 (forall @t465 (= (tptp.c_Lambda_Osubstn @t461 @t53 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t56 @t53 @t13)) (tptp.c_Lambda_Osubstn @t39 @t53 @t13))))) % 0.94/1.26 (assume @p397 (forall (@list @t457 @t456 @t226) (not (= @t458 @t227)))) % 0.94/1.26 (assume @p398 (forall (@list @t56 @t53 @t4) (= (tptp.c_Lambda_Osubstn @t56 @t53 @t4) (tptp.hAPP (tptp.hAPP @t59 (tptp.c_Lambda_Oliftn @t4 @t53 @t14)) @t4)))) % 0.94/1.26 (assume @p399 (forall (@list @t470 @t468 @t466 @t8) (or (not (= @t471 @t207)) @t469))) % 0.94/1.26 (assume @p400 (forall (@list @t8 @t470 @t468 @t466) (or (not (= @t207 @t471)) @t469))) % 0.94/1.26 (assume @p401 (forall (@list @t470 @t466 @t8) (= @t472 @t207))) % 0.94/1.26 (assume @p402 (forall (@list @t8 @t470 @t466) (= @t207 @t472))) % 0.94/1.26 (assume @p403 (forall (@list @t254 @t312 @t46 @t41 @t473) (or (= @t254 @t312) (not (tptp.c_Type_Otyping @t46 @t474 @t312)) (not (tptp.c_Type_Otyping @t46 @t474 @t254))))) % 0.94/1.26 (assume @p404 (forall @t482 (or @t481 @t477))) % 0.94/1.26 (assume @p405 (forall (@list @t4 @t473 @t479 @t476) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t483 @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t480 @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.94/1.26 (assume @p406 (forall @t188 (= @t484 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t484 @t475 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.94/1.26 (assume @p407 (forall @t486 (= @t480 @t485))) % 0.94/1.26 (assume @p408 (forall @t488 (or @t487 @t477))) % 0.94/1.26 (assume @p409 (forall @t486 (= @t485 @t480))) % 0.94/1.26 (assume @p410 (forall @t490 (or @t489 @t477))) % 0.94/1.26 (assume @p411 (forall (@list @t53 @t56 @t4 @t476) (not (= @t492 @t491)))) % 0.94/1.26 (assume @p412 (forall (@list @t470 @t32 @t466 @t8) (= (tptp.c_List_Ofoldl @t470 @t32 @t467 @t8 @t466) @t32))) % 0.94/1.26 (assume @p413 (forall (@list @t8 @t63 @t100 @t493) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t8)) (= (tptp.c_List_Ofoldl @t28 @t154 @t493 @t8 @t8) (tptp.hAPP @t119 (tptp.c_List_Ofoldl @t28 @t100 @t493 @t8 @t8)))))) % 0.94/1.26 (assume @p414 (forall (@list @t13 @t39) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t13)) @t39) @t13) @t39))) % 0.94/1.26 (assume @p415 (forall (@list @t479 @t56 @t41 @t53) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t496 @t56) @t41) (tptp.hAPP @t495 @t41)) @t494))) % 0.94/1.26 (assume @p416 (forall @t206 (or @t136 (= (tptp.c_Power_Opower__class_Opower @t63 @t14 @t8) @t9)))) % 0.94/1.26 (assume @p417 (forall @t20 (or @t309 @t16))) % 0.94/1.26 (assume @p418 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Odiv @t337 @t341 @t8) @t70)))) % 0.94/1.26 (assume @p419 (forall @t7 (= (tptp.c_Divides_Odiv__class_Odiv @t405 @t404 tptp.tc_nat) @t14))) % 0.94/1.26 (assume @p420 (forall @t175 (or @t136 (= @t173 @t174)))) % 0.94/1.26 (assume @p421 (forall @t175 (or @t136 (= (tptp.c_HOL_Otimes__class_Otimes @t172 @t63 @t8) @t174)))) % 0.94/1.26 (assume @p422 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t49 @t47 @t8) @t200)))) % 0.94/1.26 (assume @p423 (forall @t80 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t249 @t47 @t8) @t200)))) % 0.94/1.26 (assume @p424 (forall (@list @t46 @t41 @t254 @t8 @t40) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t46 @t41 @t254 @t8) @t40) (tptp.hAPP @t46 @t40)) @t497))) % 0.94/1.26 (assume @p425 (forall @t80 (or @t303 (tptp.c_HOL_Oord__class_Oless @t166 @t70 @t8) @t73 @t162))) % 0.94/1.26 (assume @p426 (forall @t75 (or @t303 @t498 @t73 @t162))) % 0.94/1.26 (assume @p427 (forall @t75 (or @t303 @t498 @t356 @t72))) % 0.94/1.26 (assume @p428 (forall @t274 (or @t136 @t273 @t499))) % 0.94/1.26 (assume @p429 (forall @t211 (or @t136 @t270 @t499))) % 0.94/1.26 (assume @p430 (forall @t96 (or @t136 @t500 @t77))) % 0.94/1.26 (assume @p431 (forall @t96 (or @t136 @t500 @t271))) % 0.94/1.26 (assume @p432 (forall @t502 (or @t144 (= @t501 @t70) (not @t394)))) % 0.94/1.26 (assume @p433 (forall @t83 (or @t37 (tptp.c_HOL_Oord__class_Oless @t47 @t142 @t8) (not (tptp.c_HOL_Oord__class_Oless @t47 @t45 @t8)) @t162))) % 0.94/1.26 (assume @p434 (forall @t306 (= (tptp.c_Divides_Odiv__class_Omod @t32 @t370 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t47 (tptp.c_Divides_Odiv__class_Omod @t503 @t45 tptp.tc_nat) tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod @t32 @t47 tptp.tc_nat))))) % 0.94/1.26 (assume @p435 (forall (@list @t40 @t39 @t41) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t504) @t39) @t41) @t504) @t497))) % 0.94/1.26 (assume @p436 (forall @t96 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t200 @t45 @t8) @t97) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t45 @t47 @t8))))) % 0.94/1.26 (assume @p437 (forall (@list @t8 @t47 @t63 @t100) (or @t37 @t506 @t233 @t505))) % 0.94/1.26 (assume @p438 (forall (@list @t8 @t63 @t100 @t47) (or @t37 @t232 (not @t506) @t505))) % 0.94/1.26 (assume @p439 (forall (@list @t8 @t32 @t4 @t229) (or @t37 (tptp.c_HOL_Oord__class_Oless @t36 @t231 @t8) @t33 @t230))) % 0.94/1.26 (assume @p440 (forall (@list @t8 @t2 @t4 @t32) (or @t37 @t86 (not (tptp.c_HOL_Oord__class_Oless @t125 @t36 @t8)) @t33))) % 0.94/1.26 (assume @p441 (forall (@list @t41 @t40) (not (tptp.c_HOL_Oord__class_Oless @t44 @t41 tptp.tc_nat)))) % 0.94/1.26 (assume @p442 (forall (@list @t40 @t41) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t50 @t41) @t41 tptp.tc_nat)))) % 0.94/1.26 (assume @p443 (forall @t38 (or @t37 (tptp.c_HOL_Oord__class_Oless @t36 @t178 @t8) @t33))) % 0.94/1.26 (assume @p444 (forall @t306 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t370 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t503 @t45 tptp.tc_nat)))) % 0.94/1.26 (assume @p445 (forall @t369 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t209 @t367 @t8) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t45 @t137 @t8)) @t77))) % 0.94/1.26 (assume @p446 (forall (@list @t47 @t171 @t45 @t479) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP @t42 (tptp.c_HOL_Otimes__class_Otimes @t47 (tptp.c_Divides_Odiv__class_Omod @t171 @t45 tptp.tc_nat) tptp.tc_nat)) @t479) @t370 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t479 @t47 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t14 @t45 tptp.tc_nat))))) % 0.94/1.26 (assume @p447 (forall (@list @t8 @t63 @t479 @t45 @t137) (or @t192 @t191 (not (= (tptp.hAPP @t119 (tptp.c_HOL_Otimes__class_Otimes @t479 @t45 @t8)) (tptp.hAPP @t119 (tptp.c_HOL_Otimes__class_Otimes @t479 @t137 @t8)))) @t366 (= @t479 @t70)))) % 0.94/1.26 (assume @p448 (forall (@list @t63 @t479 @t45 @t137) (or (not (= (tptp.hAPP @t148 (tptp.c_HOL_Otimes__class_Otimes @t479 @t45 tptp.tc_nat)) (tptp.hAPP @t148 (tptp.c_HOL_Otimes__class_Otimes @t479 @t137 tptp.tc_nat)))) @t366 (= @t479 @t14)))) % 0.94/1.26 (assume @p449 (forall @t170 (or @t84 @t507 @t280))) % 0.94/1.26 (assume @p450 (forall @t170 (or @t84 @t507 @t276))) % 0.94/1.26 (assume @p451 (forall @t177 (or @t136 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t63 @t176 @t8) @t35))) % 0.94/1.26 (assume @p452 (forall @t211 (or @t399 @t508 @t302))) % 0.94/1.26 (assume @p453 (forall @t211 (or @t509 @t508 @t302))) % 0.94/1.26 (assume @p454 (forall @t96 (or @t509 @t293 (not @t508)))) % 0.94/1.26 (assume @p455 (forall @t215 (or @t399 @t510 @t302))) % 0.94/1.26 (assume @p456 (forall @t215 (or @t509 @t510 @t302))) % 0.94/1.26 (assume @p457 (forall @t96 (or @t509 @t293 (not @t510)))) % 0.94/1.26 (assume @p458 (forall @t235 (or (tptp.c_HOL_Oord__class_Oless @t400 (tptp.hAPP @t50 @t13) tptp.tc_nat) @t236))) % 0.94/1.26 (assume @p459 (forall @t147 (or @t86 (not @t511)))) % 0.94/1.26 (assume @p460 (forall @t20 (or @t511 @t87))) % 0.94/1.26 (assume @p461 (forall (@list @t46 @t513 @t254 @t56) (or (tptp.c_Type_Otyping @t46 @t513 @t254) (not (tptp.c_Lambda_Obeta @t56 @t513)) @t512))) % 0.94/1.26 (assume @p462 (forall @t502 (or @t144 (= @t501 (tptp.hAPP (tptp.hAPP @t28 @t514) (tptp.hAPP @t470 @t4))) @t394))) % 0.94/1.26 (assume @p463 (forall @t68 (or @t92 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t5 @t2 tptp.tc_nat)) @t187))) % 0.94/1.26 (assume @p464 (forall @t68 (or @t92 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t168 @t2 tptp.tc_nat)) @t187))) % 0.94/1.26 (assume @p465 (forall @t206 (or @t406 (= @t277 @t63)))) % 0.94/1.26 (assume @p466 (forall @t75 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t167 @t47 @t8) @t70)))) % 0.94/1.26 (assume @p467 (forall @t80 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t166 @t47 @t8) @t70)))) % 0.94/1.26 (assume @p468 (forall (@list @t137 @t63) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t137 @t63 tptp.tc_nat) @t137 tptp.tc_nat) @t14))) % 0.94/1.26 (assume @p469 (forall @t517 (or (not (= @t227 (tptp.c_Lambda_OdB_OVar @t515))) @t516))) % 0.94/1.26 (assume @p470 (forall @t188 (or @t3 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t1 tptp.tc_nat))))) % 0.94/1.26 (assume @p471 (forall (@list @t344 @t226) (not (= @t345 @t227)))) % 0.94/1.26 (assume @p472 (forall @t75 (or @t79 (= (tptp.hAPP (tptp.hAPP @t28 @t200) @t223) @t32)))) % 0.94/1.26 (assume @p473 (forall @t11 (or @t84 (= @t320 @t70)))) % 0.94/1.26 (assume @p474 (forall @t215 (or @t84 @t292 @t293 @t296))) % 0.94/1.26 (assume @p475 (forall @t83 (or @t84 @t294 @t291 @t296))) % 0.94/1.26 (assume @p476 (forall @t215 (or @t84 @t292 @t293 @t290))) % 0.94/1.26 (assume @p477 (forall @t83 (or @t84 @t294 @t291 @t290))) % 0.94/1.26 (assume @p478 (forall (@list @t4 @t63) (or @t430 @t357 (not @t358)))) % 0.94/1.26 (assume @p479 (forall @t201 (or @t10 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t127 @t8) (tptp.hAPP (tptp.hAPP @t28 @t27) @t253))))) % 0.94/1.26 (assume @p480 (forall @t228 (= (tptp.c_Nat_Osize__class_Osize @t227 tptp.tc_Lambda_OdB) @t14))) % 0.94/1.26 (assume @p481 (forall (@list @t8 @t32 @t47 @t4) (or @t205 (= (tptp.c_Power_Opower__class_Opower @t167 @t4 @t8) (tptp.c_HOL_Otimes__class_Otimes @t36 (tptp.c_Power_Opower__class_Opower @t47 @t4 @t8) @t8))))) % 0.94/1.26 (assume @p482 (forall (@list @t8 @t63 @t100 @t171) (or @t136 (= (tptp.c_Power_Opower__class_Opower @t169 @t171 @t8) (tptp.c_HOL_Otimes__class_Otimes @t172 (tptp.c_Power_Opower__class_Opower @t100 @t171 @t8) @t8))))) % 0.94/1.26 (assume @p483 (forall @t211 (or @t79 (= @t99 @t95)))) % 0.94/1.26 (assume @p484 (forall @t96 (or @t79 (= @t94 @t95)))) % 0.94/1.26 (assume @p485 (forall @t502 (or @t144 (= @t514 (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t470 @t2)) (tptp.c_Finite__Set_Osetsum @t470 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t4 tptp.tc_nat) tptp.tc_nat @t8))) @t87))) % 0.94/1.26 (assume @p486 (forall @t128 (or @t112 (= (tptp.c_Power_Opower__class_Opower @t32 @t5 @t8) (tptp.c_Power_Opower__class_Opower @t125 @t4 @t8))))) % 0.94/1.26 (assume @p487 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.94/1.26 (assume @p488 (forall @t80 (or @t79 (= @t222 @t32)))) % 0.94/1.26 (assume @p489 (forall @t75 (or @t79 (= @t224 @t32)))) % 0.94/1.26 (assume @p490 (forall @t75 (or @t79 (= @t32 @t224)))) % 0.94/1.26 (assume @p491 (forall @t211 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t209 @t81 @t8) (tptp.c_HOL_Otimes__class_Otimes @t200 @t45 @t8))))) % 0.94/1.26 (assume @p492 (forall @t215 (or @t79 (= (tptp.c_Divides_Odiv__class_Omod @t213 @t212 @t8) (tptp.c_HOL_Otimes__class_Otimes @t45 @t200 @t8))))) % 0.94/1.26 (assume @p493 (forall (@list @t53 @t13) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t324) @t13) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t54 @t245))))) % 0.94/1.26 (assume @p494 (forall @t285 (= (tptp.c_Lambda_OdB_OdB__size @t284) (tptp.hAPP (tptp.hAPP @t42 (tptp.c_Lambda_OdB_OdB__size @t283)) @t282)))) % 0.94/1.26 (assume @p495 (forall @t7 (or @t518 @t3))) % 0.94/1.26 (assume @p496 (forall @t7 (or @t518 @t92))) % 0.94/1.26 (assume @p497 (forall @t96 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t8)) (= (tptp.c_HOL_Otimes__class_Otimes @t167 @t45 @t8) (tptp.c_HOL_Otimes__class_Otimes @t32 @t81 @t8))))) % 0.94/1.26 (assume @p498 (forall @t520 (or @t136 (= @t519 (tptp.c_HOL_Otimes__class_Otimes @t376 @t373 @t8))))) % 0.94/1.26 (assume @p499 (forall @t520 (or @t136 (= @t519 (tptp.c_HOL_Otimes__class_Otimes @t375 (tptp.c_HOL_Otimes__class_Otimes @t373 @t374 @t8) @t8))))) % 0.94/1.26 (assume @p500 (forall @t522 (or @t136 (= @t521 (tptp.c_HOL_Otimes__class_Otimes @t376 @t372 @t8))))) % 0.94/1.26 (assume @p501 (forall @t522 (or @t136 (= @t521 (tptp.c_HOL_Otimes__class_Otimes @t374 (tptp.c_HOL_Otimes__class_Otimes @t375 @t372 @t8) @t8))))) % 0.94/1.26 (assume @p502 (forall @t147 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t13 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t2 @t21 tptp.tc_nat)))) % 0.94/1.26 (assume @p503 (forall @t153 (or @t136 (= (tptp.c_HOL_Otimes__class_Otimes @t63 @t407 @t8) (tptp.c_HOL_Otimes__class_Otimes @t169 @t103 @t8))))) % 0.94/1.26 (assume @p504 (forall @t96 (or @t136 @t523))) % 0.94/1.26 (assume @p505 (forall @t96 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t8)) @t523))) % 0.94/1.26 (assume @p506 (forall @t147 (= (tptp.c_HOL_Otimes__class_Otimes @t127 @t13 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t42 @t22) @t21)))) % 0.94/1.26 (assume @p507 (forall @t20 (= (tptp.c_HOL_Otimes__class_Otimes @t13 @t127 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t42 @t18) @t17)))) % 0.94/1.26 (assume @p508 (forall @t153 (or @t136 (= (tptp.c_HOL_Otimes__class_Otimes @t63 @t122 @t8) @t190)))) % 0.94/1.26 (assume @p509 (forall (@list @t46 @t41 @t312 @t56 @t254) (or (tptp.c_Type_Otyping @t524 @t58 @t254) @t512))) % 0.94/1.26 (assume @p510 (forall @t75 (or @t157 @t302 @t300))) % 0.94/1.26 (assume @p511 (forall @t170 (or @t387 @t159 @t156))) % 0.94/1.26 (assume @p512 (forall @t402 (or @t401 @t105 @t104 @t101))) % 0.94/1.26 (assume @p513 (forall @t402 (or @t401 @t104 @t102 @t101))) % 0.94/1.26 (assume @p514 (forall @t389 (or @t160 @t156 @t159))) % 0.94/1.26 (assume @p515 (forall @t80 (or @t160 @t300 @t302))) % 0.94/1.26 (assume @p516 (forall @t247 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t246) @t53) @t13) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP @t54 @t14)) @t245))))) % 0.94/1.26 (assume @p517 (forall (@list @t56 @t525 @t41 @t40 @t39) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t525) @t41)) (tptp.c_Suc @t40))) (tptp.hAPP (tptp.hAPP @t526 @t525) @t40)) @t41) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t310) @t525) @t40)) @t52))) % 0.94/1.26 (assume @p518 (forall @t199 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t483)))) % 0.94/1.26 (assume @p519 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.94/1.26 (assume @p520 (forall @t486 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t480)) @t527))) % 0.94/1.26 (assume @p521 (forall (@list @t479 @t41 @t53) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t479) @t41) @t55) @t494))) % 0.94/1.26 (assume @p522 (forall @t533 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t532 @t39) @t41))) @t531 @t530 (not (tptp.c_Type_Otyping @t529 tptp.v_a____ @t528))))) % 0.94/1.26 (assume @p523 (forall (@list @t8 @t470 @t13) (or @t144 (not (= (tptp.hAPP @t470 @t14) @t70)) (= (tptp.c_Finite__Set_Osetsum @t470 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t282 @t13 tptp.tc_nat) tptp.tc_nat @t8) (tptp.c_Finite__Set_Osetsum @t470 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t13 tptp.tc_nat) tptp.tc_nat @t8))))) % 0.94/1.26 (assume @p524 (forall @t534 (= (tptp.c_Lambda_OdB_OdB__size @t455) (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t42 (tptp.c_Lambda_OdB_OdB__size @t454)) (tptp.c_Lambda_OdB_OdB__size @t453))) @t282)))) % 0.94/1.26 (assume @p525 (forall @t534 (= (tptp.c_Nat_Osize__class_Osize @t455 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t42 (tptp.c_Nat_Osize__class_Osize @t454 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t453 tptp.tc_Lambda_OdB))) @t282)))) % 0.94/1.26 (assume @p526 (forall @t325 (tptp.c_Lambda_Obeta @t492 (tptp.hAPP @t495 @t14)))) % 0.94/1.26 (assume @p527 (forall (@list @t4 @t535) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t483 @t535 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t535 tptp.tc_Lambda_OdB))))) % 0.94/1.26 (assume @p528 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs tptp.v_r____)) tptp.v_a____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 0.94/1.26 (assume @p529 (forall @t113 (or @t336 @t335 @t334 @t179 @t536 @t430))) % 0.94/1.26 (assume @p530 (forall @t113 (or @t416 @t179 @t536 @t430))) % 0.94/1.26 (assume @p531 (forall @t85 (or @t336 @t335 @t334 @t179 (not (= @t411 @t70))))) % 0.94/1.26 (assume @p532 (forall @t11 (or @t10 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14 @t8) @t70)))) % 0.94/1.26 (assume @p533 (forall @t113 (or @t416 @t179 (= (tptp.c_Power_Opower__class_Opower @t70 @t164 @t8) @t70)))) % 0.94/1.26 (assume @p534 (forall (@list @t100) (or (= @t100 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 @t100))) (= @t100 @t14)))) % 0.94/1.26 (assume @p535 (forall @t7 (or @t537 @t371 @t430))) % 0.94/1.26 (assume @p536 (forall @t7 (or @t537 @t539 @t538))) % 0.94/1.26 (assume @p537 (= @t540 @t282)) % 0.94/1.26 (assume @p538 (forall @t428 (or @t421 (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t427))) @t426))) % 0.94/1.26 (assume @p539 (forall (@list @t63 @t2) (or (not (= (tptp.c_Power_Opower__class_Opower @t63 @t2 tptp.tc_nat) @t282)) (= @t63 @t282) @t371))) % 0.94/1.26 (assume @p540 (= @t282 @t541)) % 0.94/1.26 (assume @p541 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t423)))) @t422))) % 0.94/1.26 (assume @p542 (forall @t188 (= (tptp.c_Divides_Odiv__class_Omod @t2 @t282 tptp.tc_nat) @t14))) % 0.94/1.26 (assume @p543 (= (tptp.c_HOL_Otimes__class_Otimes @t282 @t282 tptp.tc_nat) @t282)) % 0.94/1.26 (assume @p544 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t282 @t282 tptp.tc_nat)) % 0.94/1.26 (assume @p545 (forall @t7 (or @t542 @t371 @t430))) % 0.94/1.26 (assume @p546 (forall @t7 (or @t542 @t539 @t538))) % 0.94/1.26 (assume @p547 (tptp.c_HOL_Oord__class_Oless @t14 @t282 tptp.tc_nat)) % 0.94/1.26 (assume @p548 (= @t1 @t282)) % 0.94/1.26 (assume @p549 (forall (@list @t46 @t41 @t312 @t8 @t254) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t46 @t41 @t312 @t8) @t14 @t254 @t8) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t46 @t14 @t254 @t8) @t443 @t312 @t8)))) % 0.94/1.26 (assume @p550 (forall @t419 (or @t418 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t431)))) @t422))) % 0.94/1.26 (assume @p551 (forall @t7 (or @t543 @t539))) % 0.94/1.26 (assume @p552 (forall @t7 (or @t543 @t538))) % 0.94/1.26 (assume @p553 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t433)))) @t422))) % 0.94/1.26 (assume @p554 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t437)))) @t422))) % 0.94/1.26 (assume @p555 (forall (@list @t525) (or (= @t525 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 @t525))) (= @t525 @t14)))) % 0.94/1.26 (assume @p556 (forall @t322 (= @t321 @t282))) % 0.94/1.26 (assume @p557 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t436)))) @t422))) % 0.94/1.26 (assume @p558 (= @t541 @t282)) % 0.94/1.26 (assume @p559 (forall @t199 (or @t430 (not (tptp.c_HOL_Oord__class_Oless @t4 @t282 tptp.tc_nat))))) % 0.94/1.26 (assume @p560 (forall @t425 (or @t424 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.c_Suc @t434)))) @t422))) % 0.94/1.26 (assume @p561 (forall @t199 (or (= @t4 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 @t4))) @t430))) % 0.94/1.26 (assume @p562 (forall (@list @t13) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t282 @t13 tptp.tc_nat))) % 0.94/1.26 (assume @p563 (= @t282 @t540)) % 0.94/1.26 (assume @p564 (forall @t7 (or @t542 @t539 @t430))) % 0.94/1.26 (assume @p565 (forall @t7 (or @t542 @t371 @t538))) % 0.94/1.26 (assume @p566 (forall @t199 (tptp.c_HOL_Oord__class_Oless @t14 @t164 tptp.tc_nat))) % 0.94/1.26 (assume @p567 (forall @t322 (tptp.c_HOL_Oord__class_Oless @t14 @t444 tptp.tc_nat))) % 0.94/1.26 (assume @p568 (forall @t7 (or (not @t451) (= @t362 @t14)))) % 0.94/1.26 (assume @p569 (forall @t7 (or @t537 @t539 @t430))) % 0.94/1.26 (assume @p570 (forall @t7 (or @t537 @t371 @t538))) % 0.94/1.26 (assume @p571 (forall @t188 (= (tptp.c_Power_Opower__class_Opower @t282 @t2 tptp.tc_nat) @t282))) % 0.94/1.26 (assume @p572 (forall @t199 (= (tptp.c_Power_Opower__class_Opower @t282 @t4 tptp.tc_nat) @t282))) % 0.94/1.26 (assume @p573 (forall @t188 (or @t538 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t282 tptp.tc_nat))))) % 0.94/1.26 (assume @p574 (forall @t188 (= (tptp.c_Divides_Odiv__class_Odiv @t2 @t282 tptp.tc_nat) @t2))) % 0.94/1.26 (assume @p575 (forall (@list @t8 @t63 @t493) (or @t415 (= (tptp.hAPP @t119 (tptp.c_List_Ofoldl @t28 @t70 @t493 @t8 @t8)) (tptp.c_List_Ofoldl @t28 @t63 @t493 @t8 @t8))))) % 0.94/1.26 (assume @p576 (forall (@list @t56 @t53) (= (tptp.c_Lambda_Osubstn @t56 @t53 @t14) (tptp.hAPP @t60 @t14)))) % 0.94/1.26 (assume @p577 (forall (@list @t479 @t53) (= @t544 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t544 @t475 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.94/1.26 (assume @p578 (forall @t546 (or @t545 @t12))) % 0.94/1.26 (assume @p579 (forall @t546 (or @t545 @t547))) % 0.94/1.26 (assume @p580 (forall (@list @t479 @t53 @t56) (or (not (= @t544 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t56 @t475 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t544 @t56)))) % 0.94/1.26 (assume @p581 (forall @t488 (or @t487 (= @t53 @t480)))) % 0.94/1.26 (assume @p582 (forall @t550 (or @t549 @t548))) % 0.94/1.26 (assume @p583 (forall @t550 (or @t549 @t547))) % 0.94/1.26 (assume @p584 (forall (@list @t479 @t476 @t53) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t479 @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t478) @t494))) % 0.94/1.26 (assume @p585 (forall @t490 (or @t489 (= @t484 @t53)))) % 0.94/1.26 (assume @p586 (forall @t482 (or @t481 (= @t480 @t53)))) % 0.94/1.26 (assume @p587 (forall @t552 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t460 @t116))) @t551))) % 0.94/1.26 (assume @p588 (forall (@list @t46 @t39 @t41 @t473 @t553 @t254) (or (tptp.c_Type_Otypings @t46 @t555 @t553) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t46 @t41 @t254 tptp.tc_Type_Otype) @t473 @t553)) (not (tptp.c_Type_Otyping @t46 @t39 @t254))))) % 0.94/1.26 (assume @p589 (forall (@list @t4 @t56 @t13) (= (tptp.c_Lambda_Oliftn @t164 @t56 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t463) @t13)))) % 0.94/1.26 (assume @p590 (forall (@list @t479 @t41 @t40) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t496 @t116) @t40))) @t527))) % 0.94/1.26 (assume @p591 (forall (@list @t46 @t41 @t312 @t473 @t553) (or (tptp.c_Type_Otypings @t524 @t556 @t553) (not (tptp.c_Type_Otypings @t46 @t473 @t553))))) % 0.94/1.26 (assume @p592 (forall @t533 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t560 @t39) @t41))) @t531 @t530 (not (tptp.c_Type_Otyping @t529 @t559 @t528))))) % 0.94/1.26 (assume @p593 (forall @t482 (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 @t480) @t53) @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t53))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t496 @t53) @t14) @t476 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.94/1.26 (assume @p594 (forall (@list @t473) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t14 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t473 tptp.tc_Lambda_OdB))))) % 0.94/1.26 (assume @p595 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_a____))) % 0.94/1.26 (assume @p596 (forall @t465 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t461) @t53) @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t60 @t13)) (tptp.hAPP (tptp.hAPP @t526 @t53) @t13))))) % 0.94/1.26 (assume @p597 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t559))) % 0.94/1.26 (assume @p598 (forall @t199 (not (= @t4 @t164)))) % 0.94/1.26 (assume @p599 (forall @t199 (not (= @t164 @t4)))) % 0.94/1.26 (assume @p600 (forall (@list @t56 @t473 @t41) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t561) @t41) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t58 @t556 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.94/1.26 (assume @p601 (forall @t188 (not (= @t30 @t14)))) % 0.94/1.26 (assume @p602 (forall @t563 (not (= @t562 @t14)))) % 0.94/1.26 (assume @p603 (forall @t565 (or @t564 (= @t454 @t457)))) % 0.94/1.26 (assume @p604 (forall @t565 (or @t564 (= @t453 @t456)))) % 0.94/1.26 (assume @p605 (forall @t552 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t58)) @t551))) % 0.94/1.26 (assume @p606 (forall @t517 (or (not (= (tptp.c_Suc @t226) @t562)) @t516))) % 0.94/1.26 (assume @p607 (forall @t391 (or (not (= @t444 (tptp.c_Suc @t100))) @t388))) % 0.94/1.26 (assume @p608 (forall (@list @t53 @t56 @t13) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t464) @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t54 @t13)) @t297)))) % 0.94/1.26 (assume @p609 (forall (@list @t56 @t473 @t39 @t41) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t561) @t39) @t41) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t310 @t555 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.94/1.26 (assume @p610 (forall @t188 (not (= @t14 @t30)))) % 0.94/1.26 (assume @p611 (forall @t563 (not (= @t14 @t562)))) % 0.94/1.26 (assume @p612 (forall (@list @t326 @t566 @t466 @t568 @t8 @t567) (= (tptp.hAPP (tptp.c_COMBC @t326 @t566 @t466 @t568 @t8) @t567) (tptp.hAPP (tptp.hAPP @t326 @t567) @t566)))) % 0.94/1.26 (assume @p613 (forall (@list @t479 @t473 @t53) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t479 @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t53 @t473 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t548))) % 0.94/1.26 (assume @p614 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.94/1.26 (assume @p615 (forall (@list @t56 @t13 @t53) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t297) @t53) @t13) @t56))) % 0.94/1.26 (assume @p616 @t570) % 0.94/1.26 (assume @p617 (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t572 @t571 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.94/1.26 (assume @p618 (forall @t576 (or (tptp.class_Orderings_Opreorder @t575) (not (tptp.class_Orderings_Opreorder @t573))))) % 0.94/1.26 (assume @p619 (forall @t576 (or (tptp.class_Orderings_Oorder @t575) (not (tptp.class_Orderings_Oorder @t573))))) % 0.94/1.26 (assume @p620 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.94/1.26 (assume @p621 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.94/1.26 (assume @p622 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.94/1.26 (assume @p623 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.94/1.26 (assume @p624 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.94/1.26 (assume @p625 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.94/1.26 (assume @p626 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.94/1.26 (assume @p627 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.94/1.26 (assume @p628 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.94/1.26 (assume @p629 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.94/1.26 (assume @p630 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.94/1.26 (assume @p631 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.94/1.26 (assume @p632 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.94/1.26 (assume @p633 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.94/1.26 (assume @p634 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.94/1.26 (assume @p635 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.94/1.26 (assume @p636 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.94/1.26 (assume @p637 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.94/1.26 (assume @p638 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.94/1.26 (assume @p639 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.94/1.26 (assume @p640 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.94/1.26 (assume @p641 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.94/1.26 (assume @p642 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.94/1.26 (assume @p643 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.94/1.26 (assume @p644 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.94/1.26 (assume @p645 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 0.94/1.26 (assume @p646 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.94/1.26 (assume @p647 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.94/1.26 (assume @p648 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.94/1.26 (assume @p649 (tptp.class_Power_Opower tptp.tc_nat)) % 0.94/1.26 (assume @p650 (forall (@list @t326 @t566 @t567 @t466 @t8 @t568) (= (tptp.c_COMBB @t326 @t566 @t567 @t466 @t8 @t568) (tptp.hAPP @t326 (tptp.hAPP @t566 @t567))))) % 0.94/1.26 (assume @p651 (forall (@list @t63 @t8) (tptp.c_fequal @t63 @t63 @t8))) % 0.94/1.26 (assume @p652 (forall (@list @t578 @t577 @t8) (or (= @t578 @t577) (not (tptp.c_fequal @t578 @t577 @t8))))) % 0.94/1.26 (step @p653 :rule evaluate :args ((= true false))) % 0.94/1.26 (step @p654 :rule false_intro :premises (@p617)) % 0.94/1.26 (step @p655 :rule refl :args (tptp.tc_Lambda_OdB)) % 0.94/1.26 (step @p656 :rule refl :args (@t571)) % 0.94/1.26 (step @p657 :rule instantiate :premises (@p517) :args ((@list tptp.v_r____ tptp.v_u____ @t14 tptp.v_i____ tptp.v_a____))) % 0.94/1.26 (step @p658 :rule instantiate :premises (@p566) :args (@t579)) % 0.94/1.26 (step @p659 :rule true_intro :premises (@p658)) % 0.94/1.26 (step @p660 :rule refl :args (tptp.tc_nat)) % 0.94/1.26 (step @p661 :rule instantiate :premises (@p61) :args (@t579)) % 0.94/1.26 (step @p662 :rule symm :premises (@p661)) % 0.94/1.26 (step @p663 :rule refl :args (@t14)) % 0.94/1.26 (step @p664 :rule cong :premises (@p663 @p662 @p660) :args (@t580)) % 0.94/1.26 (step @p665 :rule trans :premises (@p664 @p659)) % 0.94/1.26 (step @p666 :rule true_elim :premises (@p665)) % 0.94/1.26 (step @p667 :rule cnf_or_pos :args (@t584)) % 0.94/1.26 (step @p668 :rule reordering :premises (@p667) :args ((or @t583 @t581 (not @t584)))) % 0.94/1.26 (step @p669 :rule chain_m_resolution :premises (@p668 @p666 @p657) :args (@t583 (@list false false) (@list @t580 @t584))) % 0.94/1.26 (step @p670 :rule symm :premises (@p669)) % 0.94/1.26 (step @p671 :rule refl :args (tptp.c_Lambda_OdB_OApp)) % 0.94/1.26 (step @p672 :rule cong :premises (@p671 @p670 @p656 @p655 @p655) :args ((tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t582 @t571 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.94/1.26 (step @p673 :rule instantiate :premises (@p609) :args ((@list @t558 tptp.v_as____ tptp.v_u____ tptp.v_i____))) % 0.94/1.26 (step @p674 :rule trans :premises (@p673 @p672)) % 0.94/1.26 (step @p675 :rule refl :args (tptp.c_InductTermi_OIT)) % 0.94/1.26 (step @p676 :rule cong :premises (@p675 @p674) :args (@t569)) % 0.94/1.26 (step @p677 :rule cong :premises (@p676) :args (@t570)) % 0.94/1.26 (step @p678 :rule true_intro :premises (@p616)) % 0.94/1.26 (step @p679 :rule symm :premises (@p678)) % 0.94/1.26 (step @p680 :rule trans :premises (@p679 @p677 @p654)) % 0.94/1.26 (step @p681 false :rule eq_resolve :premises (@p680 @p653)) % 0.94/1.26 ) % 0.94/1.26 % SZS output end Proof % 0.94/1.26 % cvc5 exiting %------------------------------------------------------------------------------