%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL759-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:46 AM UTC 2026 % Result : Unsatisfiable 0.75s 1.11s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL759-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n019.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 21:57:38 UTC 2026 % 0.10/0.37 % CPUTime : % 0.30/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.75/1.11 % SZS status Unsatisfiable % 0.75/1.11 % SZS output start Proof % 0.85/1.15 ( % 0.85/1.15 (declare-sort $$unsorted 0) % 0.85/1.15 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.v_ja $$unsorted) % 0.85/1.15 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.v_ia $$unsorted) % 0.85/1.15 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.85/1.15 (declare-const tptp.v_ra $$unsorted) % 0.85/1.15 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.85/1.15 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.v_sko__List__Xlexn__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.v_ss $$unsorted) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.tc_nat $$unsorted) % 0.85/1.15 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.85/1.15 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.v_s $$unsorted) % 0.85/1.15 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.85/1.15 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.85/1.15 (define @t1 () (@var "T_a" $$unsorted)) % 0.85/1.15 (define @t2 () (@var "V_b" $$unsorted)) % 0.85/1.15 (define @t3 () (@var "V_a" $$unsorted)) % 0.85/1.15 (define @t4 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t2 @t1)) % 0.85/1.15 (define @t5 () (not @t4)) % 0.85/1.15 (define @t6 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.85/1.15 (define @t7 () (= (tptp.c_Divides_Odiv__class_Omod @t2 @t3 @t1) @t6)) % 0.85/1.15 (define @t8 () (not (tptp.class_Divides_Osemiring__div @t1))) % 0.85/1.15 (define @t9 () (@list @t1 @t2 @t3)) % 0.85/1.15 (define @t10 () (tptp.c_HOL_Oord__class_Oless @t3 @t6 @t1)) % 0.85/1.15 (define @t11 () (not @t10)) % 0.85/1.15 (define @t12 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1))) % 0.85/1.15 (define @t13 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.85/1.15 (define @t14 () (tptp.hAPP @t13 @t3)) % 0.85/1.15 (define @t15 () (tptp.hAPP @t14 @t2)) % 0.85/1.15 (define @t16 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.85/1.15 (define @t17 () (@list @t1 @t3 @t2)) % 0.85/1.15 (define @t18 () (@var "V_n" $$unsorted)) % 0.85/1.15 (define @t19 () (@var "V_m" $$unsorted)) % 0.85/1.15 (define @t20 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t21 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.85/1.15 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t21 @t20 tptp.tc_nat)) % 0.85/1.15 (define @t23 () (not @t22)) % 0.85/1.15 (define @t24 () (tptp.c_HOL_Oord__class_Oless @t21 @t19 tptp.tc_nat)) % 0.85/1.15 (define @t25 () (@list @t19 @t18)) % 0.85/1.15 (define @t26 () (tptp.c_HOL_Oord__class_Oless @t21 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t27 () (@list @t18 @t19)) % 0.85/1.15 (define @t28 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.85/1.15 (define @t29 () (@var "V_j" $$unsorted)) % 0.85/1.15 (define @t30 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.85/1.15 (define @t31 () (tptp.hAPP @t30 @t29)) % 0.85/1.15 (define @t32 () (tptp.hAPP @t31 @t28)) % 0.85/1.15 (define @t33 () (@var "V_i" $$unsorted)) % 0.85/1.15 (define @t34 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t32 tptp.tc_nat))) % 0.85/1.15 (define @t35 () (@var "V_s" $$unsorted)) % 0.85/1.15 (define @t36 () (tptp.hAPP tptp.c_Lambda_Olift @t35)) % 0.85/1.15 (define @t37 () (tptp.hAPP @t36 @t33)) % 0.85/1.15 (define @t38 () (@var "V_t" $$unsorted)) % 0.85/1.15 (define @t39 () (tptp.hAPP tptp.c_Lambda_Olift @t38)) % 0.85/1.15 (define @t40 () (tptp.hAPP @t39 @t33)) % 0.85/1.15 (define @t41 () (tptp.hAPP tptp.c_Lambda_Osubst @t38)) % 0.85/1.15 (define @t42 () (tptp.hAPP @t41 @t35)) % 0.85/1.15 (define @t43 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t42 @t29)) @t33)) % 0.85/1.15 (define @t44 () (@list @t38 @t35 @t29 @t33)) % 0.85/1.15 (define @t45 () (@var "V_c" $$unsorted)) % 0.85/1.15 (define @t46 () (@var "V_e" $$unsorted)) % 0.85/1.15 (define @t47 () (@var "V_k" $$unsorted)) % 0.85/1.15 (define @t48 () (@var "V_u" $$unsorted)) % 0.85/1.15 (define @t49 () (tptp.hAPP @t30 @t33)) % 0.85/1.15 (define @t50 () (tptp.hAPP @t49 @t29)) % 0.85/1.15 (define @t51 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.85/1.15 (define @t52 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t3 @t1))) % 0.85/1.15 (define @t53 () (not @t26)) % 0.85/1.15 (define @t54 () (tptp.c_Power_Opower__class_Opower @t3 @t18 @t1)) % 0.85/1.15 (define @t55 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.85/1.15 (define @t56 () (@list @t1 @t3 @t18)) % 0.85/1.15 (define @t57 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t19 @t1)) % 0.85/1.15 (define @t58 () (tptp.hAPP @t13 @t51)) % 0.85/1.15 (define @t59 () (tptp.c_Suc @t19)) % 0.85/1.15 (define @t60 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.85/1.15 (define @t61 () (@list @t1 @t19)) % 0.85/1.15 (define @t62 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t63 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t19 tptp.tc_nat)) % 0.85/1.15 (define @t64 () (tptp.c_HOL_Oord__class_Oless @t63 @t62 tptp.tc_nat)) % 0.85/1.15 (define @t65 () (not @t64)) % 0.85/1.15 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t21 @t47 tptp.tc_nat)) % 0.85/1.15 (define @t67 () (@list @t47 @t19 @t18)) % 0.85/1.15 (define @t68 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t47 tptp.tc_nat)) % 0.85/1.15 (define @t69 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t47 tptp.tc_nat)) % 0.85/1.15 (define @t70 () (tptp.c_HOL_Oord__class_Oless @t69 @t68 tptp.tc_nat)) % 0.85/1.15 (define @t71 () (not @t70)) % 0.85/1.15 (define @t72 () (= @t19 @t18)) % 0.85/1.15 (define @t73 () (not @t66)) % 0.85/1.15 (define @t74 () (not (= @t63 @t62))) % 0.85/1.15 (define @t75 () (@list @t1)) % 0.85/1.15 (define @t76 () (= @t19 @t28)) % 0.85/1.15 (define @t77 () (not (= @t20 @t28))) % 0.85/1.15 (define @t78 () (= @t18 @t28)) % 0.85/1.15 (define @t79 () (tptp.c_Divides_Odiv__class_Omod @t2 @t45 @t1)) % 0.85/1.15 (define @t80 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t14 @t79) @t45 @t1)) % 0.85/1.15 (define @t81 () (tptp.c_Divides_Odiv__class_Omod @t15 @t45 @t1)) % 0.85/1.15 (define @t82 () (@list @t1 @t3 @t2 @t45)) % 0.85/1.15 (define @t83 () (tptp.c_Divides_Odiv__class_Omod @t3 @t45 @t1)) % 0.85/1.15 (define @t84 () (tptp.hAPP @t13 @t83)) % 0.85/1.15 (define @t85 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t84 @t2) @t45 @t1)) % 0.85/1.15 (define @t86 () (@var "V_y" $$unsorted)) % 0.85/1.15 (define @t87 () (@var "V_x" $$unsorted)) % 0.85/1.15 (define @t88 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t87 @t86 tptp.tc_nat))) % 0.85/1.15 (define @t89 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t86 @t87 tptp.tc_nat)) % 0.85/1.15 (define @t90 () (@var "V_z" $$unsorted)) % 0.85/1.15 (define @t91 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t86 @t90 tptp.tc_nat))) % 0.85/1.15 (define @t92 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t90 @t86 tptp.tc_nat)) % 0.85/1.15 (define @t93 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t90 @t87 tptp.tc_nat))) % 0.85/1.15 (define @t94 () (@list @t90 @t87 @t86)) % 0.85/1.15 (define @t95 () (tptp.c_Divides_Odiv__class_Omod @t19 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t96 () (tptp.c_Power_Opower__class_Opower @t51 @t18 @t1)) % 0.85/1.15 (define @t97 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.85/1.15 (define @t98 () (@list @t1 @t18)) % 0.85/1.15 (define @t99 () (tptp.c_HOL_Oord__class_Oless @t33 @t47 tptp.tc_nat)) % 0.85/1.15 (define @t100 () (tptp.hAPP @t49 @t28)) % 0.85/1.15 (define @t101 () (tptp.c_Lambda_OdB_OVar @t33)) % 0.85/1.15 (define @t102 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t101) @t47)) % 0.85/1.15 (define @t103 () (@list @t33 @t47)) % 0.85/1.15 (define @t104 () (tptp.hAPP @t13 @t87)) % 0.85/1.15 (define @t105 () (tptp.hAPP @t104 @t90)) % 0.85/1.15 (define @t106 () (tptp.hAPP @t13 @t86)) % 0.85/1.15 (define @t107 () (tptp.hAPP @t106 @t90)) % 0.85/1.15 (define @t108 () (tptp.hAPP @t104 @t107)) % 0.85/1.15 (define @t109 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.85/1.15 (define @t110 () (tptp.c_Power_Opower__class_Opower @t3 @t19 @t1)) % 0.85/1.15 (define @t111 () (tptp.hAPP @t30 @t19)) % 0.85/1.15 (define @t112 () (tptp.hAPP @t111 @t18)) % 0.85/1.15 (define @t113 () (@list @t1 @t3 @t19 @t18)) % 0.85/1.15 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t21 @t112 tptp.tc_nat)) % 0.85/1.15 (define @t115 () (tptp.hAPP @t13 @t2)) % 0.85/1.15 (define @t116 () (tptp.hAPP @t115 @t45)) % 0.85/1.15 (define @t117 () (tptp.hAPP @t14 @t116)) % 0.85/1.15 (define @t118 () (tptp.hAPP @t13 @t15)) % 0.85/1.15 (define @t119 () (tptp.hAPP @t118 @t45)) % 0.85/1.15 (define @t120 () (= @t119 @t117)) % 0.85/1.15 (define @t121 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.85/1.15 (define @t122 () (@var "V_d" $$unsorted)) % 0.85/1.15 (define @t123 () (tptp.hAPP @t13 @t45)) % 0.85/1.15 (define @t124 () (tptp.hAPP @t123 @t122)) % 0.85/1.15 (define @t125 () (tptp.hAPP @t14 @t124)) % 0.85/1.15 (define @t126 () (@list @t1 @t3 @t45 @t122)) % 0.85/1.15 (define @t127 () (tptp.hAPP @t14 @t45)) % 0.85/1.15 (define @t128 () (tptp.hAPP @t13 @t127)) % 0.85/1.15 (define @t129 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.85/1.15 (define @t130 () (tptp.hAPP @t30 @t18)) % 0.85/1.15 (define @t131 () (tptp.hAPP @t130 @t47)) % 0.85/1.15 (define @t132 () (@list @t19 @t18 @t47)) % 0.85/1.15 (define @t133 () (tptp.hAPP @t30 @t87)) % 0.85/1.15 (define @t134 () (tptp.hAPP @t133 @t90)) % 0.85/1.15 (define @t135 () (tptp.hAPP @t30 @t86)) % 0.85/1.15 (define @t136 () (tptp.hAPP @t135 @t90)) % 0.85/1.15 (define @t137 () (@list @t87 @t86 @t90)) % 0.85/1.15 (define @t138 () (@list @t1 @t87 @t86 @t90)) % 0.85/1.15 (define @t139 () (tptp.hAPP @t104 @t86)) % 0.85/1.15 (define @t140 () (tptp.c_HOL_Oord__class_Oless @t86 @t87 @t1)) % 0.85/1.15 (define @t141 () (not @t140)) % 0.85/1.15 (define @t142 () (not (tptp.class_Orderings_Oorder @t1))) % 0.85/1.15 (define @t143 () (tptp.c_HOL_Oord__class_Oless @t87 @t86 @t1)) % 0.85/1.15 (define @t144 () (not @t143)) % 0.85/1.15 (define @t145 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.85/1.15 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t6 @t3 @t1)) % 0.85/1.15 (define @t147 () (not @t146)) % 0.85/1.15 (define @t148 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t51 @t1))) % 0.85/1.15 (define @t149 () (tptp.c_Suc @t18)) % 0.85/1.15 (define @t150 () (tptp.c_Power_Opower__class_Opower @t3 @t149 @t1)) % 0.85/1.15 (define @t151 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1)) % 0.85/1.15 (define @t152 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1)) % 0.85/1.15 (define @t153 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t19 tptp.tc_nat)) % 0.85/1.15 (define @t154 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t86 @t1)) % 0.85/1.15 (define @t155 () (@list @t1 @t87 @t86)) % 0.85/1.15 (define @t156 () (@var "V_q" $$unsorted)) % 0.85/1.15 (define @t157 () (tptp.c_Power_Opower__class_Opower @t87 @t156 @t1)) % 0.85/1.15 (define @t158 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t157 @t1)) % 0.85/1.15 (define @t159 () (tptp.c_Power_Opower__class_Opower @t87 (tptp.c_Suc @t156) @t1)) % 0.85/1.15 (define @t160 () (@list @t1 @t87 @t156)) % 0.85/1.15 (define @t161 () (tptp.c_Power_Opower__class_Opower @t87 @t18 @t1)) % 0.85/1.15 (define @t162 () (@list @t1 @t87 @t18)) % 0.85/1.15 (define @t163 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t54 @t1)) % 0.85/1.15 (define @t164 () (not (tptp.class_Power_Opower @t1))) % 0.85/1.15 (define @t165 () (tptp.c_HOL_Otimes__class_Otimes @t54 @t3 @t1)) % 0.85/1.15 (define @t166 () (@var "V_p" $$unsorted)) % 0.85/1.15 (define @t167 () (tptp.c_Power_Opower__class_Opower @t87 @t166 @t1)) % 0.85/1.15 (define @t168 () (@list @t1 @t87 @t166 @t156)) % 0.85/1.15 (define @t169 () (not @t24)) % 0.85/1.15 (define @t170 () (@list @t19)) % 0.85/1.15 (define @t171 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t90 @t1)) % 0.85/1.15 (define @t172 () (tptp.hAPP (tptp.hAPP @t13 @t154) @t171)) % 0.85/1.15 (define @t173 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.85/1.15 (define @t174 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.85/1.15 (define @t175 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t45 @t1)) % 0.85/1.15 (define @t176 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t122 @t1)) % 0.85/1.15 (define @t177 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t45 tptp.tc_nat)) % 0.85/1.15 (define @t178 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t122 tptp.tc_nat)) % 0.85/1.15 (define @t179 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t86 tptp.tc_nat)) % 0.85/1.15 (define @t180 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t90 tptp.tc_nat)) % 0.85/1.15 (define @t181 () (@list @t18)) % 0.85/1.15 (define @t182 () (tptp.c_Divides_Odiv__class_Omod @t3 @t2 @t1)) % 0.85/1.15 (define @t183 () (@list @t1 @t19 @t18)) % 0.85/1.15 (define @t184 () (= @t3 @t6)) % 0.85/1.15 (define @t185 () (@list @t1 @t3)) % 0.85/1.15 (define @t186 () (= (tptp.c_HOL_Otimes__class_Otimes @t51 @t3 @t1) @t3)) % 0.85/1.15 (define @t187 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t51 @t1) @t3)) % 0.85/1.15 (define @t188 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 0.85/1.15 (define @t189 () (@list @t1 @t87)) % 0.85/1.15 (define @t190 () (tptp.c_List_Olist_ONil @t1)) % 0.85/1.15 (define @t191 () (@var "V_A" $$unsorted)) % 0.85/1.15 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t45 @t1)) % 0.85/1.15 (define @t193 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t45 @t1)) % 0.85/1.15 (define @t194 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t193 @t192 @t1)) % 0.85/1.15 (define @t195 () (@list @t1 @t3 @t45 @t2)) % 0.85/1.15 (define @t196 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t2 @t1)) % 0.85/1.15 (define @t197 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t3 @t1)) % 0.85/1.15 (define @t198 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t197 @t196 @t1)) % 0.85/1.15 (define @t199 () (@list @t1 @t45 @t3 @t2)) % 0.85/1.15 (define @t200 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t19 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t201 () (not @t200)) % 0.85/1.15 (define @t202 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t63 @t62 tptp.tc_nat)) % 0.85/1.15 (define @t203 () (tptp.c_Divides_Odiv__class_Omod @t152 @t45 @t1)) % 0.85/1.15 (define @t204 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t83 @t2 @t1) @t45 @t1)) % 0.85/1.15 (define @t205 () (tptp.c_Divides_Odiv__class_Odiv @t3 @t2 @t1)) % 0.85/1.15 (define @t206 () (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t2 @t205 @t1)) @t182)) % 0.85/1.15 (define @t207 () (@list @t1 @t2 @t3 @t45)) % 0.85/1.15 (define @t208 () (tptp.c_HOL_Otimes__class_Otimes @t205 @t2 @t1)) % 0.85/1.15 (define @t209 () (tptp.hAPP (tptp.hAPP @t13 @t208) @t182)) % 0.85/1.15 (define @t210 () (@list @t33 @t19)) % 0.85/1.15 (define @t211 () (@var "V_N" $$unsorted)) % 0.85/1.15 (define @t212 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t211 tptp.tc_nat))) % 0.85/1.15 (define @t213 () (tptp.c_Power_Opower__class_Opower @t3 @t211 @t1)) % 0.85/1.15 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t87 @t86 tptp.tc_nat)) % 0.85/1.15 (define @t215 () (not @t214)) % 0.85/1.15 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t87 @t136 tptp.tc_nat)) % 0.85/1.15 (define @t217 () (@list @t33 @t47 @t29)) % 0.85/1.15 (define @t218 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t29 tptp.tc_nat))) % 0.85/1.15 (define @t219 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 (tptp.c_Divides_Odiv__class_Omod @t19 @t18 @t1) @t1)) % 0.85/1.15 (define @t220 () (not @t219)) % 0.85/1.15 (define @t221 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t18 @t1))) % 0.85/1.15 (define @t222 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t19 @t1)) % 0.85/1.15 (define @t223 () (@list @t1 @t47 @t19 @t18)) % 0.85/1.15 (define @t224 () (not @t222)) % 0.85/1.15 (define @t225 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t28 tptp.tc_nat)) % 0.85/1.15 (define @t226 () (tptp.hAPP @t30 @t47)) % 0.85/1.15 (define @t227 () (tptp.hAPP @t226 @t28)) % 0.85/1.15 (define @t228 () (tptp.c_Lambda_OdB_OAbs @t38)) % 0.85/1.15 (define @t229 () (@list @t38 @t35 @t47)) % 0.85/1.15 (define @t230 () (tptp.hAPP @t123 @t3)) % 0.85/1.15 (define @t231 () (tptp.c_Divides_Odiv__class_Odiv @t2 @t3 @t1)) % 0.85/1.15 (define @t232 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.85/1.15 (define @t233 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t234 () (not @t233)) % 0.85/1.15 (define @t235 () (tptp.c_Suc @t47)) % 0.85/1.15 (define @t236 () (tptp.c_HOL_Otimes__class_Otimes @t235 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t237 () (tptp.c_HOL_Otimes__class_Otimes @t235 @t19 tptp.tc_nat)) % 0.85/1.15 (define @t238 () (tptp.c_HOL_Oord__class_Oless @t237 @t236 tptp.tc_nat)) % 0.85/1.15 (define @t239 () (= @t86 @t90)) % 0.85/1.15 (define @t240 () (@list @t19 @t47 @t18)) % 0.85/1.15 (define @t241 () (tptp.hAPP @t226 @t18)) % 0.85/1.15 (define @t242 () (tptp.hAPP @t226 @t19)) % 0.85/1.15 (define @t243 () (= @t2 @t45)) % 0.85/1.15 (define @t244 () (not (= @t15 @t127))) % 0.85/1.15 (define @t245 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.85/1.15 (define @t246 () (tptp.hAPP @t115 @t3)) % 0.85/1.15 (define @t247 () (tptp.c_Power_Opower__class_Opower @t86 @t18 @t1)) % 0.85/1.15 (define @t248 () (@var "V_v" $$unsorted)) % 0.85/1.15 (define @t249 () (tptp.hAPP (tptp.hAPP @t41 @t48) @t33)) % 0.85/1.15 (define @t250 () (tptp.hAPP tptp.c_Lambda_Osubst @t48)) % 0.85/1.15 (define @t251 () (tptp.c_Suc @t29)) % 0.85/1.15 (define @t252 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t45 @t1)) % 0.85/1.15 (define @t253 () (not @t252)) % 0.85/1.15 (define @t254 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t231 (tptp.c_Divides_Odiv__class_Odiv @t45 @t3 @t1) @t1)) % 0.85/1.15 (define @t255 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t45 @t1)) % 0.85/1.15 (define @t256 () (@list @t1 @t2 @t45 @t3)) % 0.85/1.15 (define @t257 () (not @t255)) % 0.85/1.15 (define @t258 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t259 () (= @t258 @t21)) % 0.85/1.15 (define @t260 () (= @t87 @t6)) % 0.85/1.15 (define @t261 () (tptp.c_HOL_Otimes__class_Otimes @t87 @t87 @t1)) % 0.85/1.15 (define @t262 () (tptp.hAPP (tptp.hAPP @t13 @t261) (tptp.c_HOL_Otimes__class_Otimes @t86 @t86 @t1))) % 0.85/1.15 (define @t263 () (tptp.c_HOL_Oord__class_Oless @t6 @t262 @t1)) % 0.85/1.15 (define @t264 () (= @t86 @t6)) % 0.85/1.15 (define @t265 () (tptp.hAPP @t115 @t122)) % 0.85/1.15 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t197 @t196 @t1)) % 0.85/1.15 (define @t267 () (not @t266)) % 0.85/1.15 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t6 @t45 @t1)) % 0.85/1.15 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t45 @t6 @t1)) % 0.85/1.15 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.85/1.15 (define @t271 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.85/1.15 (define @t272 () (tptp.c_HOL_Oord__class_Oless @t193 @t192 @t1)) % 0.85/1.15 (define @t273 () (not @t272)) % 0.85/1.15 (define @t274 () (@var "V_r" $$unsorted)) % 0.85/1.15 (define @t275 () (not (tptp.c_Lambda_Obeta @t274 @t35))) % 0.85/1.15 (define @t276 () (tptp.hAPP @t39 @t47)) % 0.85/1.15 (define @t277 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t33 tptp.tc_nat)) % 0.85/1.15 (define @t278 () (not @t269)) % 0.85/1.15 (define @t279 () (not @t271)) % 0.85/1.15 (define @t280 () (not @t268)) % 0.85/1.15 (define @t281 () (not @t270)) % 0.85/1.15 (define @t282 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.85/1.15 (define @t283 () (tptp.c_Divides_Odiv__class_Omod @t2 @t45 tptp.tc_nat)) % 0.85/1.15 (define @t284 () (tptp.c_Divides_Odiv__class_Odiv @t2 @t45 tptp.tc_nat)) % 0.85/1.15 (define @t285 () (@list @t3 @t2 @t45)) % 0.85/1.15 (define @t286 () (= @t45 @t6)) % 0.85/1.15 (define @t287 () (= @t47 @t21)) % 0.85/1.15 (define @t288 () (= (tptp.c_Divides_Odiv__class_Odiv @t63 @t62 tptp.tc_nat) @t258)) % 0.85/1.15 (define @t289 () (@var "V_T" $$unsorted)) % 0.85/1.15 (define @t290 () (@var "V_e_H" $$unsorted)) % 0.85/1.15 (define @t291 () (@var "V_U" $$unsorted)) % 0.85/1.15 (define @t292 () (tptp.hAPP @t58 @t51)) % 0.85/1.15 (define @t293 () (tptp.hAPP (tptp.hAPP @t30 @t62) @t19)) % 0.85/1.15 (define @t294 () (@list @t47 @t18 @t19)) % 0.85/1.15 (define @t295 () (tptp.hAPP @t14 @t196)) % 0.85/1.15 (define @t296 () (tptp.hAPP @t14 @t192)) % 0.85/1.15 (define @t297 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t19 @t1)) % 0.85/1.15 (define @t298 () (tptp.hAPP @t13 @t297)) % 0.85/1.15 (define @t299 () (not @t202)) % 0.85/1.15 (define @t300 () (= @t2 @t6)) % 0.85/1.15 (define @t301 () (tptp.hAPP (tptp.hAPP @t13 @t205) @t51)) % 0.85/1.15 (define @t302 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t6 @t1)) % 0.85/1.15 (define @t303 () (tptp.hAPP (tptp.hAPP @t13 @t302) @t302)) % 0.85/1.15 (define @t304 () (tptp.c_Power_Opower__class_Opower @t87 @t21 tptp.tc_nat)) % 0.85/1.15 (define @t305 () (@list @t87)) % 0.85/1.15 (define @t306 () (@var "V_P" $$unsorted)) % 0.85/1.15 (define @t307 () (tptp.hAPP (tptp.hAPP @t30 @t277) @t29)) % 0.85/1.15 (define @t308 () (not (tptp.c_HOL_Oord__class_Oless @t29 @t47 tptp.tc_nat))) % 0.85/1.15 (define @t309 () (@list @t29 @t47 @t306 @t33)) % 0.85/1.15 (define @t310 () (tptp.hAPP @t14 @t3)) % 0.85/1.15 (define @t311 () (tptp.c_HOL_Oord__class_Oless @t6 @t310 @t1)) % 0.85/1.15 (define @t312 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.85/1.15 (define @t313 () (not (= @t54 @t6))) % 0.85/1.15 (define @t314 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.85/1.15 (define @t315 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.85/1.15 (define @t316 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.85/1.15 (define @t317 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t3 @t1)) % 0.85/1.15 (define @t318 () (= @t317 @t6)) % 0.85/1.15 (define @t319 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t6 @t1)) % 0.85/1.15 (define @t320 () (= @t319 @t6)) % 0.85/1.15 (define @t321 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 @t1)) % 0.85/1.15 (define @t322 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.85/1.15 (define @t323 () (not (= @t152 @t6))) % 0.85/1.15 (define @t324 () (@var "V_l" $$unsorted)) % 0.85/1.15 (define @t325 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t324 tptp.tc_nat))) % 0.85/1.15 (define @t326 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t1)) % 0.85/1.15 (define @t327 () (tptp.hAPP @t123 @t205)) % 0.85/1.15 (define @t328 () (tptp.hAPP @t13 @t19)) % 0.85/1.15 (define @t329 () (@var "V_b_H" $$unsorted)) % 0.85/1.15 (define @t330 () (@var "V_a_H" $$unsorted)) % 0.85/1.15 (define @t331 () (not (= @t83 (tptp.c_Divides_Odiv__class_Omod @t330 @t45 @t1)))) % 0.85/1.15 (define @t332 () (not (= @t79 (tptp.c_Divides_Odiv__class_Omod @t329 @t45 @t1)))) % 0.85/1.15 (define @t333 () (@list @t1 @t2 @t45 @t329 @t3 @t330)) % 0.85/1.15 (define @t334 () (tptp.c_HOL_Oord__class_Oless @t310 @t6 @t1)) % 0.85/1.15 (define @t335 () (not @t334)) % 0.85/1.15 (define @t336 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.85/1.15 (define @t337 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 0.85/1.15 (define @t338 () (tptp.c_HOL_Oord__class_Oless @t6 @t152 @t1)) % 0.85/1.15 (define @t339 () (not @t337)) % 0.85/1.15 (define @t340 () (tptp.c_HOL_Oord__class_Oless @t21 @t87 tptp.tc_nat)) % 0.85/1.15 (define @t341 () (tptp.c_HOL_Oord__class_Oless @t21 (tptp.c_Power_Opower__class_Opower @t87 @t18 tptp.tc_nat) tptp.tc_nat)) % 0.85/1.15 (define @t342 () (@list @t87 @t18)) % 0.85/1.15 (define @t343 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t86 @t87 @t1))) % 0.85/1.15 (define @t344 () (tptp.c_Divides_Odiv__class_Odiv @t87 @t86 @t1)) % 0.85/1.15 (define @t345 () (tptp.c_HOL_Oord__class_Oless @t47 @t33 tptp.tc_nat)) % 0.85/1.15 (define @t346 () (= @t33 @t47)) % 0.85/1.15 (define @t347 () (@list @t33 @t35 @t47)) % 0.85/1.15 (define @t348 () (tptp.c_Divides_Odiv__class_Omod @t59 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t349 () (@var "V_w" $$unsorted)) % 0.85/1.15 (define @t350 () (= @t349 @t87)) % 0.85/1.15 (define @t351 () (= @t3 @t2)) % 0.85/1.15 (define @t352 () (= @t45 @t122)) % 0.85/1.15 (define @t353 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t122 @t1)) % 0.85/1.15 (define @t354 () (tptp.hAPP @t13 @t193)) % 0.85/1.15 (define @t355 () (@list @t1 @t3 @t45 @t2 @t122)) % 0.85/1.15 (define @t356 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t45 tptp.tc_nat)) % 0.85/1.15 (define @t357 () (= @t19 @t21)) % 0.85/1.15 (define @t358 () (@var "V_ry" $$unsorted)) % 0.85/1.15 (define @t359 () (@var "V_ly" $$unsorted)) % 0.85/1.15 (define @t360 () (@var "V_rx" $$unsorted)) % 0.85/1.15 (define @t361 () (@var "V_lx" $$unsorted)) % 0.85/1.15 (define @t362 () (tptp.c_HOL_Otimes__class_Otimes @t361 @t360 @t1)) % 0.85/1.15 (define @t363 () (tptp.c_HOL_Otimes__class_Otimes @t360 @t358 @t1)) % 0.85/1.15 (define @t364 () (tptp.c_HOL_Otimes__class_Otimes @t361 @t359 @t1)) % 0.85/1.15 (define @t365 () (tptp.c_HOL_Otimes__class_Otimes @t364 @t363 @t1)) % 0.85/1.15 (define @t366 () (@list @t1 @t361 @t359 @t360 @t358)) % 0.85/1.15 (define @t367 () (tptp.hAPP @t14 @t51)) % 0.85/1.15 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t367 @t19 @t1)) % 0.85/1.15 (define @t369 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t131 tptp.tc_nat)) % 0.85/1.15 (define @t370 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t371 () (@list @t47 @t18)) % 0.85/1.15 (define @t372 () (tptp.c_HOL_Oord__class_Oless @t87 @t87 tptp.tc_nat)) % 0.85/1.15 (define @t373 () (not (tptp.c_HOL_Oord__class_Oless @t87 @t87 @t1))) % 0.85/1.15 (define @t374 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.85/1.15 (define @t375 () (= @t87 @t86)) % 0.85/1.15 (define @t376 () (@list @t1 @t86 @t87)) % 0.85/1.15 (define @t377 () (not @t89)) % 0.85/1.15 (define @t378 () (@list @t87 @t86)) % 0.85/1.15 (define @t379 () (@list @t86 @t87)) % 0.85/1.15 (define @t380 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 @t19 tptp.tc_nat))) % 0.85/1.15 (define @t381 () (tptp.c_HOL_Oord__class_Oless @t18 @t19 tptp.tc_nat)) % 0.85/1.15 (define @t382 () (tptp.hAPP @t306 @t18)) % 0.85/1.15 (define @t383 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t2 tptp.tc_nat))) % 0.85/1.15 (define @t384 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t3 tptp.tc_nat))) % 0.85/1.15 (define @t385 () (@list @t2 @t3)) % 0.85/1.15 (define @t386 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.85/1.15 (define @t387 () (tptp.hAPP @t49 @t47)) % 0.85/1.15 (define @t388 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t87 @t90 tptp.tc_nat)) % 0.85/1.15 (define @t389 () (@list @t87 @t90 @t86)) % 0.85/1.15 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t57 @t326 @t1)) % 0.85/1.15 (define @t391 () (tptp.c_HOL_Otimes__class_Otimes @t21 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t392 () (tptp.c_HOL_Otimes__class_Otimes @t21 @t19 tptp.tc_nat)) % 0.85/1.15 (define @t393 () (tptp.hAPP @t13 @t6)) % 0.85/1.15 (define @t394 () (= (tptp.hAPP @t393 @t3) @t3)) % 0.85/1.15 (define @t395 () (= (tptp.hAPP @t14 @t6) @t3)) % 0.85/1.15 (define @t396 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.85/1.15 (define @t397 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.85/1.15 (define @t398 () (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Divides_Odiv__class_Omod @t18 @t21 tptp.tc_nat)))) % 0.85/1.15 (define @t399 () (tptp.hBOOL @t382)) % 0.85/1.15 (define @t400 () (@list @t306 @t18)) % 0.85/1.15 (define @t401 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t21 tptp.tc_nat)) % 0.85/1.15 (define @t402 () (tptp.hBOOL (tptp.hAPP @t306 @t21))) % 0.85/1.15 (define @t403 () (not @t402)) % 0.85/1.15 (define @t404 () (tptp.v_sko__List__Xlexn__Xinduct__1 @t306)) % 0.85/1.15 (define @t405 () (@var "V_nat" $$unsorted)) % 0.85/1.15 (define @t406 () (tptp.hBOOL (tptp.hAPP @t306 @t405))) % 0.85/1.15 (define @t407 () (@list @t306 @t405)) % 0.85/1.15 (define @t408 () (not (tptp.hBOOL (tptp.hAPP @t306 @t47)))) % 0.85/1.15 (define @t409 () (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 @t306)) % 0.85/1.15 (define @t410 () (@list @t306 @t47)) % 0.85/1.15 (define @t411 () (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Divides_Odiv__class_Odiv @t18 @t21 tptp.tc_nat)))) % 0.85/1.15 (define @t412 () (= @t18 @t21)) % 0.85/1.15 (define @t413 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t306)) % 0.85/1.15 (define @t414 () (not (= @t112 @t21))) % 0.85/1.15 (define @t415 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t306)) % 0.85/1.15 (define @t416 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t306)) % 0.85/1.15 (define @t417 () (tptp.hAPP @t30 @t21)) % 0.85/1.15 (define @t418 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t306)) % 0.85/1.15 (define @t419 () (tptp.v_sko__List__Xupt__Xinduct__1 @t306)) % 0.85/1.15 (define @t420 () (tptp.c_Suc @t21)) % 0.85/1.15 (define @t421 () (not (tptp.c_HOL_Oord__class_Oless @t420 @t18 tptp.tc_nat))) % 0.85/1.15 (define @t422 () (not (tptp.c_HOL_Oord__class_Oless @t420 @t19 tptp.tc_nat))) % 0.85/1.15 (define @t423 () (tptp.c_HOL_Oord__class_Oless @t19 @t149 tptp.tc_nat)) % 0.85/1.15 (define @t424 () (tptp.c_HOL_Oord__class_Oless @t59 @t18 tptp.tc_nat)) % 0.85/1.15 (define @t425 () (tptp.c_Suc @t95)) % 0.85/1.15 (define @t426 () (tptp.c_Suc @t33)) % 0.85/1.15 (define @t427 () (tptp.c_Suc @t87)) % 0.85/1.15 (define @t428 () (tptp.c_HOL_Oord__class_Oless @t87 @t427 tptp.tc_nat)) % 0.85/1.15 (define @t429 () (tptp.c_HOL_Oord__class_Oless @t18 @t59 tptp.tc_nat)) % 0.85/1.15 (define @t430 () (not @t429)) % 0.85/1.15 (define @t431 () (tptp.c_Suc @t112)) % 0.85/1.15 (define @t432 () (tptp.hAPP (tptp.hAPP @t30 @t59) @t18)) % 0.85/1.15 (define @t433 () (tptp.hAPP @t111 @t149)) % 0.85/1.15 (define @t434 () (= @t425 @t18)) % 0.85/1.15 (define @t435 () (tptp.c_HOL_Oord__class_Oless @t59 @t149 tptp.tc_nat)) % 0.85/1.15 (define @t436 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t35)) % 0.85/1.15 (define @t437 () (not (tptp.c_Lambda_Obeta @t35 @t38))) % 0.85/1.15 (define @t438 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t48)) % 0.85/1.15 (define @t439 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t38) @t48)) % 0.85/1.15 (define @t440 () (@list @t38 @t48 @t35 @t47)) % 0.85/1.15 (define @t441 () (tptp.c_Lambda_OdB_OAbs @t35)) % 0.85/1.15 (define @t442 () (@list @t35 @t38)) % 0.85/1.15 (define @t443 () (@var "T_b" $$unsorted)) % 0.85/1.15 (define @t444 () (tptp.c_List_Olist_ONil @t443)) % 0.85/1.15 (define @t445 () (@var "V_xs" $$unsorted)) % 0.85/1.15 (define @t446 () (= @t445 @t444)) % 0.85/1.15 (define @t447 () (@var "V_f" $$unsorted)) % 0.85/1.15 (define @t448 () (tptp.c_List_Omap @t447 @t445 @t443 @t1)) % 0.85/1.15 (define @t449 () (tptp.c_List_Omap @t447 @t444 @t443 @t1)) % 0.85/1.15 (define @t450 () (@var "V_zs" $$unsorted)) % 0.85/1.15 (define @t451 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t35) @t38)) % 0.85/1.15 (define @t452 () (tptp.hAPP tptp.c_Lambda_Osubst @t274)) % 0.85/1.15 (define @t453 () (@var "V_Ts" $$unsorted)) % 0.85/1.15 (define @t454 () (@var "V_ts" $$unsorted)) % 0.85/1.15 (define @t455 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t33 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t456 () (tptp.c_Type_Oshift @t46 @t33 @t291 tptp.tc_Type_Otype)) % 0.85/1.15 (define @t457 () (@var "V_env" $$unsorted)) % 0.85/1.15 (define @t458 () (tptp.c_Lambda_OdB_OVar @t87)) % 0.85/1.15 (define @t459 () (@var "V_dB2" $$unsorted)) % 0.85/1.15 (define @t460 () (@var "V_dB1" $$unsorted)) % 0.85/1.15 (define @t461 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t460) @t459)) % 0.85/1.15 (define @t462 () (@list @t460 @t459)) % 0.85/1.15 (define @t463 () (@var "V_dB" $$unsorted)) % 0.85/1.15 (define @t464 () (tptp.c_Lambda_OdB_OAbs @t463)) % 0.85/1.15 (define @t465 () (@list @t463)) % 0.85/1.15 (define @t466 () (= (tptp.c_Power_Opower__class_Opower @t6 @t18 @t1) @t6)) % 0.85/1.15 (define @t467 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.85/1.15 (define @t468 () (tptp.c_HOL_Otimes__class_Otimes @t86 @t90 @t1)) % 0.85/1.15 (define @t469 () (@var "V_xb" $$unsorted)) % 0.85/1.15 (define @t470 () (@var "V_xa" $$unsorted)) % 0.85/1.15 (define @t471 () (tptp.c_HOL_Oord__class_Oless @t6 @t326 @t1)) % 0.85/1.15 (define @t472 () (tptp.c_Power_Opower__class_Opower @t3 @t21 @t1)) % 0.85/1.15 (define @t473 () (not (tptp.c_HOL_Oord__class_Oless @t29 @t33 tptp.tc_nat))) % 0.85/1.15 (define @t474 () (tptp.c_HOL_Oord__class_Oless @t152 @t6 @t1)) % 0.85/1.15 (define @t475 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t152 @t45 @t1))) % 0.85/1.15 (define @t476 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t192 @t1)) % 0.85/1.15 (define @t477 () (tptp.c_Divides_Odiv__class_Odiv @t3 @t2 tptp.tc_nat)) % 0.85/1.15 (define @t478 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t2 @t1))) % 0.85/1.15 (define @t479 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t2 @t87 @t1) (tptp.c_Power_Opower__class_Opower @t2 @t86 @t1) @t1)) % 0.85/1.15 (define @t480 () (@list @t33 @t29)) % 0.85/1.15 (define @t481 () (not (= @t262 @t6))) % 0.85/1.15 (define @t482 () (tptp.c_HOL_Oord__class_Oless @t127 @t116 @t1)) % 0.85/1.15 (define @t483 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.85/1.15 (define @t484 () (tptp.c_HOL_Oord__class_Oless @t230 (tptp.hAPP @t123 @t2) @t1)) % 0.85/1.15 (define @t485 () (tptp.c_HOL_Oord__class_Oless @t242 @t241 tptp.tc_nat)) % 0.85/1.15 (define @t486 () (not (tptp.c_Type_Otyping @t46 @t38 @t289))) % 0.85/1.15 (define @t487 () (@var "V_t_H" $$unsorted)) % 0.85/1.15 (define @t488 () (not (= @t28 @t20))) % 0.85/1.15 (define @t489 () (tptp.c_HOL_Otimes__class_Otimes @t364 @t360 @t1)) % 0.85/1.15 (define @t490 () (@list @t1 @t361 @t359 @t360)) % 0.85/1.15 (define @t491 () (tptp.c_HOL_Otimes__class_Otimes @t361 @t363 @t1)) % 0.85/1.15 (define @t492 () (@list @t1 @t361 @t360 @t358)) % 0.85/1.15 (define @t493 () (= (tptp.c_HOL_Otimes__class_Otimes @t15 @t45 @t1) (tptp.hAPP @t354 @t192))) % 0.85/1.15 (define @t494 () (not (= @t112 @t420))) % 0.85/1.15 (define @t495 () (= @t19 @t420)) % 0.85/1.15 (define @t496 () (= @t18 @t420)) % 0.85/1.15 (define @t497 () (tptp.hAPP @t417 @t420)) % 0.85/1.15 (define @t498 () (tptp.hAPP (tptp.hAPP @t30 @t420) @t21)) % 0.85/1.15 (define @t499 () (not (= @t420 @t112))) % 0.85/1.15 (define @t500 () (not (= @t20 @t420))) % 0.85/1.15 (define @t501 () (tptp.c_Lambda_OdB_OVar @t405)) % 0.85/1.15 (define @t502 () (@list @t405)) % 0.85/1.15 (define @t503 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t504 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t274) @t35)) % 0.85/1.15 (define @t505 () (@var "V_ss" $$unsorted)) % 0.85/1.15 (define @t506 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t35 @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t507 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t508 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t48 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t507) @t33 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t509 () (tptp.c_Lambda_OdB_OVar @t29)) % 0.85/1.15 (define @t510 () (= @t505 @t503)) % 0.85/1.15 (define @t511 () (tptp.c_Lambda_OdB_OAbs @t274)) % 0.85/1.15 (define @t512 () (not (= @t511 @t506))) % 0.85/1.15 (define @t513 () (@list @t274 @t35 @t505)) % 0.85/1.15 (define @t514 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t511 @t503 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t515 () (@list @t274)) % 0.85/1.15 (define @t516 () (not (= @t506 @t511))) % 0.85/1.15 (define @t517 () (@list @t35 @t505 @t274)) % 0.85/1.15 (define @t518 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t519 () (tptp.c_Lambda_OdB_OVar @t19)) % 0.85/1.15 (define @t520 () (not (= @t519 @t506))) % 0.85/1.15 (define @t521 () (@list @t19 @t35 @t505)) % 0.85/1.15 (define @t522 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t441) @t38)) % 0.85/1.15 (define @t523 () (@var "V_rs" $$unsorted)) % 0.85/1.15 (define @t524 () (tptp.c_Lambda_OdB_OVar @t18)) % 0.85/1.15 (define @t525 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t38 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t526 () (@var "V_dB_H" $$unsorted)) % 0.85/1.15 (define @t527 () (tptp.c_Lambda_OdB_OAbs @t526)) % 0.85/1.15 (define @t528 () (@var "V_nat_H" $$unsorted)) % 0.85/1.15 (define @t529 () (= @t405 @t528)) % 0.85/1.15 (define @t530 () (@list @t405 @t528)) % 0.85/1.15 (define @t531 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t524 @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t532 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t519 @t523 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t531))) % 0.85/1.15 (define @t533 () (@list @t19 @t523 @t18 @t505)) % 0.85/1.15 (define @t534 () (= @t523 @t505)) % 0.85/1.15 (define @t535 () (tptp.c_Suc @t528)) % 0.85/1.15 (define @t536 () (@list @t528)) % 0.85/1.15 (define @t537 () (= @t274 @t35)) % 0.85/1.15 (define @t538 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t511 @t523 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t441 @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.15 (define @t539 () (@list @t274 @t523 @t35 @t505)) % 0.85/1.15 (define @t540 () (@var "V_dB1_H" $$unsorted)) % 0.85/1.15 (define @t541 () (@var "V_dB2_H" $$unsorted)) % 0.85/1.15 (define @t542 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t540) @t541)) % 0.85/1.15 (define @t543 () (not (= @t461 @t542))) % 0.85/1.15 (define @t544 () (@list @t460 @t459 @t540 @t541)) % 0.85/1.15 (define @t545 () (@var "V_Q" $$unsorted)) % 0.85/1.15 (define @t546 () (@var "V_R" $$unsorted)) % 0.85/1.15 (define @t547 () (@var "T_c" $$unsorted)) % 0.85/1.15 (define @t548 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_ra)) % 0.85/1.15 (define @t549 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_s)) % 0.85/1.15 (define @t550 () (tptp.hAPP (tptp.hAPP @t549 @t101) @t29)) % 0.85/1.15 (define @t551 () (tptp.c_Lambda_OdB_OVar tptp.v_ia)) % 0.85/1.15 (define @t552 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t551 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t507) tptp.v_ja tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.15 (define @t553 () (tptp.hAPP (tptp.hAPP @t549 @t551) tptp.v_ja)) % 0.85/1.15 (define @t554 () (tptp.hAPP (tptp.hAPP @t548 (tptp.c_Lambda_OdB_OVar (tptp.c_Suc tptp.v_ia))) (tptp.c_Suc tptp.v_ja))) % 0.85/1.15 (define @t555 () (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 (tptp.c_Lambda_OdB_OAbs @t554)) @t553) @t552 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.15 (define @t556 () (@var "T_1" $$unsorted)) % 0.85/1.15 (define @t557 () (@var "T_2" $$unsorted)) % 0.85/1.15 (define @t558 () (tptp.tc_fun @t557 @t556)) % 0.85/1.15 (define @t559 () (@list @t557 @t556)) % 0.85/1.15 (define @t560 () (@var "V_Y" $$unsorted)) % 0.85/1.15 (define @t561 () (@var "V_X" $$unsorted)) % 0.85/1.15 (define @t562 () (@list tptp.v_ia tptp.v_ja)) % 0.85/1.15 (define @t563 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t554) @t553) @t21) @t552 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.15 (define @t564 () (not @t563)) % 0.85/1.15 (define @t565 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t553))) % 0.85/1.15 (define @t566 () (not @t565)) % 0.85/1.15 (define @t567 () (or @t555 @t566 @t564)) % 0.85/1.15 (assume @p1 (forall @t9 (or @t8 @t7 @t5))) % 0.85/1.15 (assume @p2 (forall @t17 (or @t16 (tptp.c_HOL_Oord__class_Oless @t15 @t6 @t1) @t12 @t11))) % 0.85/1.15 (assume @p3 (forall @t25 (or @t24 @t23))) % 0.85/1.15 (assume @p4 (forall @t27 (or @t26 @t23))) % 0.85/1.15 (assume @p5 (forall @t44 (or (= @t43 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t40) @t37) @t32)) @t34))) % 0.85/1.15 (assume @p6 (forall (@list @t1 @t3 @t46 @t2 @t45) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t3 @t46 @t1)) (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t2 @t46 @t1)) @t45)) (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t15 @t46 @t1)) @t45))))) % 0.85/1.15 (assume @p7 (forall (@list @t33 @t48 @t29 @t47) (= (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t33 @t48 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t29 @t48 tptp.tc_nat)) @t47)) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t50 @t48 tptp.tc_nat)) @t47)))) % 0.85/1.15 (assume @p8 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t51 @t54 @t1) @t53 @t52))) % 0.85/1.15 (assume @p9 (forall @t61 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t59 @t1) (tptp.hAPP @t58 @t57))))) % 0.85/1.15 (assume @p10 (forall @t67 (or @t66 @t65))) % 0.85/1.15 (assume @p11 (forall @t67 (or @t66 @t71))) % 0.85/1.15 (assume @p12 (forall @t67 (or @t74 @t73 @t72))) % 0.85/1.15 (assume @p13 (forall @t75 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t28 @t1) @t51)))) % 0.85/1.15 (assume @p14 (forall @t25 (or @t77 @t76))) % 0.85/1.15 (assume @p15 (forall @t25 (or @t77 @t78))) % 0.85/1.15 (assume @p16 (forall @t82 (or @t8 (= @t81 @t80)))) % 0.85/1.15 (assume @p17 (forall @t82 (or @t8 (= @t81 @t85)))) % 0.85/1.15 (assume @p18 (forall @t94 (or @t93 @t92 @t91 @t89 @t88))) % 0.85/1.15 (assume @p19 (forall @t25 (or (tptp.c_HOL_Oord__class_Oless @t95 @t18 tptp.tc_nat) @t53))) % 0.85/1.15 (assume @p20 (forall @t98 (or @t97 (= @t96 @t51)))) % 0.85/1.15 (assume @p21 (forall @t103 (or (= @t102 (tptp.c_Lambda_OdB_OVar @t100)) @t99))) % 0.85/1.15 (assume @p22 (forall (@list @t1 @t87 @t86 @t90 @t48) (or @t109 (not (= @t108 (tptp.hAPP @t106 @t48))) (= @t105 @t48)))) % 0.85/1.15 (assume @p23 (forall @t113 (or @t97 (= (tptp.c_Power_Opower__class_Opower @t3 @t112 @t1) (tptp.c_HOL_Otimes__class_Otimes @t110 @t54 @t1))))) % 0.85/1.15 (assume @p24 (forall @t27 (or @t26 @t24 (not @t114)))) % 0.85/1.15 (assume @p25 (forall @t82 (or @t121 @t120))) % 0.85/1.15 (assume @p26 (forall @t126 (or @t121 (= @t125 (tptp.hAPP @t123 (tptp.hAPP @t14 @t122)))))) % 0.85/1.15 (assume @p27 (forall @t82 (or @t121 (= @t119 (tptp.hAPP @t128 @t2))))) % 0.85/1.15 (assume @p28 (forall @t126 (or @t121 (= @t125 (tptp.hAPP @t128 @t122))))) % 0.85/1.15 (assume @p29 (forall @t82 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t120))) % 0.85/1.15 (assume @p30 (forall @t82 (or @t129 (= @t117 (tptp.hAPP @t115 @t127))))) % 0.85/1.15 (assume @p31 (forall @t82 (or @t129 @t120))) % 0.85/1.15 (assume @p32 (forall @t132 (= (tptp.hAPP (tptp.hAPP @t30 @t112) @t47) (tptp.hAPP @t111 @t131)))) % 0.85/1.15 (assume @p33 (forall @t137 (= (tptp.hAPP @t133 @t136) (tptp.hAPP @t135 @t134)))) % 0.85/1.15 (assume @p34 (forall @t138 (or @t109 (= @t108 (tptp.hAPP @t106 @t105))))) % 0.85/1.15 (assume @p35 (forall @t138 (or @t121 (= @t108 (tptp.hAPP (tptp.hAPP @t13 @t139) @t90))))) % 0.85/1.15 (assume @p36 (forall (@list @t1 @t90 @t87 @t86) (or @t142 (tptp.c_HOL_Oord__class_Oless @t90 @t87 @t1) (not (tptp.c_HOL_Oord__class_Oless @t90 @t86 @t1)) @t141))) % 0.85/1.15 (assume @p37 (forall (@list @t1 @t87 @t90 @t86) (or @t145 (tptp.c_HOL_Oord__class_Oless @t87 @t90 @t1) (not (tptp.c_HOL_Oord__class_Oless @t86 @t90 @t1)) @t144))) % 0.85/1.15 (assume @p38 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t150 @t51 @t1) @t148 @t147))) % 0.85/1.15 (assume @p39 (forall @t82 (or @t8 (= @t81 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t84 @t79) @t45 @t1))))) % 0.85/1.15 (assume @p40 (forall @t17 (or @t121 (= @t152 @t151)))) % 0.85/1.15 (assume @p41 (forall @t25 (= @t20 @t153))) % 0.85/1.15 (assume @p42 (forall @t155 (or @t121 (= @t154 (tptp.c_HOL_Otimes__class_Otimes @t86 @t87 @t1))))) % 0.85/1.15 (assume @p43 (forall @t160 (or @t121 (= @t159 @t158)))) % 0.85/1.15 (assume @p44 (forall @t162 (or @t121 (= (tptp.c_Power_Opower__class_Opower @t87 @t149 @t1) (tptp.c_HOL_Otimes__class_Otimes @t87 @t161 @t1))))) % 0.85/1.15 (assume @p45 (forall @t56 (or @t164 (= @t150 @t163)))) % 0.85/1.15 (assume @p46 (forall @t56 (or @t97 (= @t150 @t165)))) % 0.85/1.15 (assume @p47 (forall @t168 (or @t121 (= (tptp.c_Power_Opower__class_Opower @t167 @t156 @t1) (tptp.c_Power_Opower__class_Opower @t87 (tptp.c_HOL_Otimes__class_Otimes @t166 @t156 tptp.tc_nat) @t1))))) % 0.85/1.15 (assume @p48 (forall @t170 (or @t169 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t19 @t28 tptp.tc_nat) @t19 tptp.tc_nat)))) % 0.85/1.15 (assume @p49 (forall @t170 (or @t169 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t28 @t19 tptp.tc_nat) @t19 tptp.tc_nat)))) % 0.85/1.15 (assume @p50 (forall @t138 (or @t174 @t173 (= @t172 (tptp.hAPP (tptp.hAPP @t13 @t171) @t154))))) % 0.85/1.15 (assume @p51 (forall (@list @t1 @t87 @t45 @t122) (or @t174 @t173 (= (tptp.hAPP (tptp.hAPP @t13 @t175) @t176) (tptp.hAPP (tptp.hAPP @t13 @t176) @t175))))) % 0.85/1.15 (assume @p52 (forall (@list @t87 @t45 @t122) (= (tptp.hAPP (tptp.hAPP @t30 @t177) @t178) (tptp.hAPP (tptp.hAPP @t30 @t178) @t177)))) % 0.85/1.15 (assume @p53 (forall @t137 (= (tptp.hAPP (tptp.hAPP @t30 @t179) @t180) (tptp.hAPP (tptp.hAPP @t30 @t180) @t179)))) % 0.85/1.15 (assume @p54 (forall @t181 (= @t149 (tptp.hAPP @t130 @t28)))) % 0.85/1.15 (assume @p55 (forall @t181 (= @t149 (tptp.hAPP (tptp.hAPP @t30 @t28) @t18)))) % 0.85/1.15 (assume @p56 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t182 @t2 @t1) @t182)))) % 0.85/1.15 (assume @p57 (forall @t183 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_Power_Opower__class_Opower @t19 @t18 tptp.tc_nat) @t1) (tptp.c_Power_Opower__class_Opower @t57 @t18 @t1))))) % 0.85/1.15 (assume @p58 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t3 @t3 @t1) @t51) @t184))) % 0.85/1.15 (assume @p59 (forall @t17 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t151 @t1)))) % 0.85/1.15 (assume @p60 (forall @t17 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t152 @t1)))) % 0.85/1.15 (assume @p61 (forall (@list @t1 @t2 @t47) (or (not (tptp.class_Ring__and__Field_Odvd @t1)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 (tptp.c_HOL_Otimes__class_Otimes @t2 @t47 @t1) @t1)))) % 0.85/1.15 (assume @p62 (forall @t185 (or @t121 @t186))) % 0.85/1.15 (assume @p63 (forall @t185 (or @t121 @t187))) % 0.85/1.15 (assume @p64 (forall @t185 (or @t97 @t187))) % 0.85/1.15 (assume @p65 (forall @t185 (or @t97 @t186))) % 0.85/1.15 (assume @p66 (forall @t185 (or @t188 @t186))) % 0.85/1.15 (assume @p67 (forall @t181 (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t18 tptp.tc_nat) @t18))) % 0.85/1.15 (assume @p68 (forall @t181 (= (tptp.c_HOL_Otimes__class_Otimes @t18 @t28 tptp.tc_nat) @t18))) % 0.85/1.15 (assume @p69 (forall @t189 (or @t121 (= (tptp.c_HOL_Otimes__class_Otimes @t51 @t87 @t1) @t87)))) % 0.85/1.15 (assume @p70 (forall (@list @t191 @t1) (tptp.c_List_Olistsp @t191 @t190 @t1))) % 0.85/1.15 (assume @p71 (forall @t25 (or (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t18 tptp.tc_nat) @t19) @t53))) % 0.85/1.15 (assume @p72 (forall @t27 (or (= (tptp.c_Divides_Odiv__class_Odiv @t153 @t18 tptp.tc_nat) @t19) @t53))) % 0.85/1.15 (assume @p73 (forall @t195 (or @t174 @t194 @t5))) % 0.85/1.15 (assume @p74 (forall @t199 (or @t174 @t198 @t5))) % 0.85/1.15 (assume @p75 (forall @t67 (or @t202 @t201))) % 0.85/1.15 (assume @p76 (forall @t195 (or @t8 (= @t204 @t203)))) % 0.85/1.15 (assume @p77 (forall @t138 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t139 @t90 @t1) (tptp.hAPP (tptp.hAPP @t13 (tptp.c_Divides_Odiv__class_Odiv @t87 @t90 @t1)) (tptp.c_Divides_Odiv__class_Odiv @t86 @t90 @t1))) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t90 @t86 @t1)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t90 @t87 @t1))))) % 0.85/1.15 (assume @p78 (forall @t207 (or @t8 (= (tptp.hAPP (tptp.hAPP @t13 @t206) @t45) @t127)))) % 0.85/1.15 (assume @p79 (forall @t82 (or @t8 (= (tptp.hAPP (tptp.hAPP @t13 @t209) @t45) @t127)))) % 0.85/1.15 (assume @p80 (forall @t210 (tptp.c_HOL_Oord__class_Oless @t33 (tptp.c_Suc (tptp.hAPP @t49 @t19)) tptp.tc_nat))) % 0.85/1.15 (assume @p81 (forall @t210 (tptp.c_HOL_Oord__class_Oless @t33 (tptp.c_Suc (tptp.hAPP @t111 @t33)) tptp.tc_nat))) % 0.85/1.15 (assume @p82 (forall (@list @t19 @t87) (tptp.c_HOL_Oord__class_Oless @t19 (tptp.c_Suc (tptp.hAPP @t111 @t87)) tptp.tc_nat))) % 0.85/1.15 (assume @p83 (forall (@list @t1 @t3 @t211 @t18) (or @t55 (tptp.c_HOL_Oord__class_Oless @t213 @t54 @t1) @t148 @t147 @t212))) % 0.85/1.15 (assume @p84 (forall @t137 (or @t216 @t215))) % 0.85/1.15 (assume @p85 (forall @t137 (or @t216 (not (tptp.c_HOL_Oord__class_Oless @t87 @t90 tptp.tc_nat))))) % 0.85/1.15 (assume @p86 (forall @t217 (or @t99 (not (tptp.c_HOL_Oord__class_Oless @t50 @t47 tptp.tc_nat))))) % 0.85/1.15 (assume @p87 (forall (@list @t33 @t29 @t19) (or (tptp.c_HOL_Oord__class_Oless @t33 (tptp.hAPP @t31 @t19) tptp.tc_nat) @t218))) % 0.85/1.15 (assume @p88 (forall (@list @t33 @t19 @t29) (or (tptp.c_HOL_Oord__class_Oless @t33 (tptp.hAPP @t111 @t29) tptp.tc_nat) @t218))) % 0.85/1.15 (assume @p89 (forall @t223 (or @t8 @t222 @t221 @t220))) % 0.85/1.15 (assume @p90 (forall @t223 (or @t8 @t219 @t224 @t221))) % 0.85/1.15 (assume @p91 (forall @t223 (or @t8 @t222 @t220 @t221))) % 0.85/1.15 (assume @p92 (forall @t223 (or @t8 @t219 @t221 @t224))) % 0.85/1.15 (assume @p93 (forall (@list @t47 @t19) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t63) @t47 tptp.tc_nat) @t28) (not (tptp.c_HOL_Oord__class_Oless @t28 @t47 tptp.tc_nat))))) % 0.85/1.15 (assume @p94 (= @t28 @t225)) % 0.85/1.15 (assume @p95 (forall @t229 (= (tptp.c_Lambda_Osubstn @t228 @t35 @t47) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t38 @t35 @t227))))) % 0.85/1.15 (assume @p96 (forall (@list @t1 @t3 @t45) (or @t121 (= @t127 @t230)))) % 0.85/1.15 (assume @p97 (forall @t9 (or @t8 (not @t7) @t4))) % 0.85/1.15 (assume @p98 (forall @t207 (or @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t231 @t45 @t1) (tptp.c_Divides_Odiv__class_Odiv @t192 @t3 @t1)) @t5))) % 0.85/1.15 (assume @p99 (forall @t185 (or @t232 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1) @t6 @t1))))) % 0.85/1.15 (assume @p100 (forall @t67 (or @t238 @t234))) % 0.85/1.15 (assume @p101 (forall @t132 (or @t233 (not @t238)))) % 0.85/1.15 (assume @p102 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t28 @t28 tptp.tc_nat)) % 0.85/1.15 (assume @p103 (forall @t137 (or (not (= (tptp.hAPP @t133 @t86) @t134)) @t239))) % 0.85/1.15 (assume @p104 (forall @t240 (or (not (= (tptp.hAPP @t111 @t47) @t131)) @t72))) % 0.85/1.15 (assume @p105 (forall @t67 (or (not (= @t242 @t241)) @t72))) % 0.85/1.15 (assume @p106 (forall @t138 (or @t174 @t173 (not (= @t139 @t105)) @t239))) % 0.85/1.15 (assume @p107 (forall @t82 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t244 @t243))) % 0.85/1.15 (assume @p108 (forall @t82 (or @t245 @t244 @t243))) % 0.85/1.15 (assume @p109 (forall @t207 (or @t245 (not (= @t246 @t230)) @t243))) % 0.85/1.15 (assume @p110 (forall (@list @t1 @t87 @t18 @t86) (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t161 @t247 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t87 @t86 @t1))))) % 0.85/1.15 (assume @p111 (forall (@list @t38 @t248 @t33 @t29 @t48) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t248) @t33)) @t251)) (tptp.hAPP (tptp.hAPP @t250 @t248) @t29)) @t33) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t249) @t248) @t29)) @t34))) % 0.85/1.15 (assume @p112 (forall @t82 (or @t8 (= @t203 @t204)))) % 0.85/1.15 (assume @p113 (forall @t82 (or @t8 (= @t203 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t3 @t79 @t1) @t45 @t1))))) % 0.85/1.15 (assume @p114 (forall @t256 (or @t8 @t255 (not @t254) @t253 @t5))) % 0.85/1.15 (assume @p115 (forall @t207 (or @t8 @t254 @t257 @t253 @t5))) % 0.85/1.15 (assume @p116 (forall @t25 (or @t259 @t234))) % 0.85/1.15 (assume @p117 (forall @t155 (or @t232 @t263 @t260))) % 0.85/1.15 (assume @p118 (forall @t155 (or @t232 @t263 @t264))) % 0.85/1.15 (assume @p119 (forall (@list @t1 @t3 @t2 @t45 @t122) (or @t121 (= (tptp.hAPP @t118 @t124) (tptp.hAPP @t128 @t265))))) % 0.85/1.15 (assume @p120 (forall @t61 (or @t55 (not (tptp.c_HOL_Oord__class_Oless @t57 @t6 @t1))))) % 0.85/1.15 (assume @p121 (forall @t82 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t116 @t1) @t253 @t5))) % 0.85/1.15 (assume @p122 (forall @t199 (or @t232 @t269 @t268 @t267))) % 0.85/1.15 (assume @p123 (forall @t207 (or @t232 @t271 @t270 @t267))) % 0.85/1.15 (assume @p124 (forall @t199 (or @t232 @t269 @t268 @t273))) % 0.85/1.15 (assume @p125 (forall @t207 (or @t232 @t271 @t270 @t273))) % 0.85/1.15 (assume @p126 (= @t225 @t28)) % 0.85/1.15 (assume @p127 (forall @t9 (or @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t231 @t3 @t1) @t2) @t5))) % 0.85/1.15 (assume @p128 (forall @t17 (or @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t231 @t1) @t2) @t5))) % 0.85/1.15 (assume @p129 (forall @t103 (or (= @t102 @t101) (not @t99)))) % 0.85/1.15 (assume @p130 (forall (@list @t274 @t33 @t35) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t274) @t33) @t37) @t275))) % 0.85/1.15 (assume @p131 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t163 @t54 @t1) @t148 @t147))) % 0.85/1.15 (assume @p132 (forall @t44 (or (= @t43 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t39 @t100)) @t37) @t29)) (not (tptp.c_HOL_Oord__class_Oless @t29 @t100 tptp.tc_nat))))) % 0.85/1.15 (assume @p133 (forall (@list @t38 @t33 @t47) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t40) @t235) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t276) @t33)) (not (tptp.c_HOL_Oord__class_Oless @t33 @t227 tptp.tc_nat))))) % 0.85/1.15 (assume @p134 (forall @t67 (= (tptp.c_HOL_Otimes__class_Otimes @t47 @t95 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t63 @t62 tptp.tc_nat)))) % 0.85/1.15 (assume @p135 (forall @t132 (= (tptp.c_HOL_Otimes__class_Otimes @t95 @t47 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t69 @t68 tptp.tc_nat)))) % 0.85/1.15 (assume @p136 (forall @t240 (or @t70 @t234 @t73))) % 0.85/1.15 (assume @p137 (forall @t67 (or @t64 @t234 @t73))) % 0.85/1.15 (assume @p138 (forall (@list @t47 @t33 @t29) (or (tptp.c_HOL_Oord__class_Oless @t277 (tptp.c_HOL_Otimes__class_Otimes @t47 @t29 tptp.tc_nat) tptp.tc_nat) @t73 @t218))) % 0.85/1.15 (assume @p139 (forall @t217 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t33 @t47 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t29 @t47 tptp.tc_nat) tptp.tc_nat) @t73 @t218))) % 0.85/1.15 (assume @p140 (forall @t132 (or @t233 @t65 @t73))) % 0.85/1.15 (assume @p141 (forall @t207 (or @t232 @t271 @t267 @t278))) % 0.85/1.15 (assume @p142 (forall @t199 (or @t232 @t266 @t279 @t278))) % 0.85/1.15 (assume @p143 (forall @t82 (or @t232 @t270 @t267 @t280))) % 0.85/1.15 (assume @p144 (forall @t199 (or @t232 @t266 @t281 @t280))) % 0.85/1.15 (assume @p145 (forall @t199 (or @t232 @t266 @t278 @t279))) % 0.85/1.15 (assume @p146 (forall @t199 (or @t282 @t266 @t280 @t281))) % 0.85/1.15 (assume @p147 (forall @t195 (or @t232 @t272 @t278 @t279))) % 0.85/1.15 (assume @p148 (forall @t195 (or @t282 @t272 @t280 @t281))) % 0.85/1.15 (assume @p149 (forall @t195 (or @t232 @t272 @t281 @t280))) % 0.85/1.15 (assume @p150 (forall @t195 (or @t232 @t272 @t279 @t278))) % 0.85/1.15 (assume @p151 (forall @t199 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t266 @t280 @t281))) % 0.85/1.15 (assume @p152 (forall @t285 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t30 @t3) @t2) @t45 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Divides_Odiv__class_Odiv @t3 @t45 tptp.tc_nat)) @t284)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Divides_Odiv__class_Omod @t3 @t45 tptp.tc_nat)) @t283) @t45 tptp.tc_nat))))) % 0.85/1.15 (assume @p153 (forall (@list @t19 @t18 @t33) (or @t233 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t33 @t19 tptp.tc_nat) (tptp.c_Power_Opower__class_Opower @t33 @t18 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t21 @t33 tptp.tc_nat))))) % 0.85/1.15 (assume @p154 (forall @t199 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t197 @t196 @t1) @t205) @t286))) % 0.85/1.15 (assume @p155 (forall @t195 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t193 @t192 @t1) @t205) @t286))) % 0.85/1.15 (assume @p156 (forall @t67 (or @t288 @t287))) % 0.85/1.15 (assume @p157 (forall (@list @t290 @t48 @t291 @t33 @t38 @t289) (or (not (tptp.c_Type_Otyping @t290 @t48 @t291)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t290 @t33 @t291 tptp.tc_Type_Otype) @t38 @t289)) (tptp.c_Type_Otyping @t290 @t249 @t289)))) % 0.85/1.15 (assume @p158 (forall @t75 (or @t55 (tptp.c_HOL_Oord__class_Oless @t6 @t292 @t1)))) % 0.85/1.15 (assume @p159 (forall @t294 (= (tptp.c_Divides_Odiv__class_Omod @t293 @t18 tptp.tc_nat) @t95))) % 0.85/1.15 (assume @p160 (forall @t195 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t295 @t2 @t1) @t182)))) % 0.85/1.15 (assume @p161 (forall @t82 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t296 @t2 @t1) @t182)))) % 0.85/1.15 (assume @p162 (forall (@list @t1 @t3 @t19 @t2) (or @t121 (= (tptp.hAPP @t298 (tptp.c_HOL_Otimes__class_Otimes @t2 @t19 @t1)) (tptp.c_HOL_Otimes__class_Otimes @t15 @t19 @t1))))) % 0.85/1.15 (assume @p163 (forall @t27 (or @t53 (tptp.c_HOL_Oord__class_Oless @t19 (tptp.c_HOL_Otimes__class_Otimes @t18 (tptp.c_Suc @t258) tptp.tc_nat) tptp.tc_nat)))) % 0.85/1.15 (assume @p164 (forall @t132 (or @t200 @t287 @t299))) % 0.85/1.15 (assume @p165 (forall @t82 (or @t174 @t4 @t286 (not @t198)))) % 0.85/1.15 (assume @p166 (forall @t82 (or @t174 @t4 @t286 (not @t194)))) % 0.85/1.15 (assume @p167 (forall @t9 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t246 @t2 @t1) @t301) @t300))) % 0.85/1.15 (assume @p168 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t15 @t2 @t1) @t301) @t300))) % 0.85/1.15 (assume @p169 (forall @t75 (or @t232 (not (tptp.c_HOL_Oord__class_Oless @t6 @t303 @t1))))) % 0.85/1.15 (assume @p170 (forall @t305 (tptp.c_HOL_Oord__class_Oless @t21 @t304 tptp.tc_nat))) % 0.85/1.15 (assume @p171 (forall @t183 (or @t55 (tptp.c_HOL_Oord__class_Oless @t51 (tptp.c_HOL_Otimes__class_Otimes @t19 @t18 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t51 @t18 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t51 @t19 @t1))))) % 0.85/1.15 (assume @p172 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t3 @t51 @t1) @t3)))) % 0.85/1.15 (assume @p173 (forall @t309 (or @t308 @t287 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Divides_Odiv__class_Omod @t307 @t47 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t306 @t29))))) % 0.85/1.15 (assume @p174 (forall @t25 (or @t114 @t53))) % 0.85/1.15 (assume @p175 (forall @t25 (or @t114 @t169))) % 0.85/1.15 (assume @p176 (forall @t185 (or @t312 @t146 (not @t311)))) % 0.85/1.15 (assume @p177 (forall @t185 (or @t312 @t311 @t147))) % 0.85/1.15 (assume @p178 (forall @t94 (or @t93 @t91 @t89 @t88))) % 0.85/1.15 (assume @p179 (forall @t94 (or @t93 @t92 @t91 @t88))) % 0.85/1.15 (assume @p180 (forall @t56 (or @t316 @t315 @t314 @t164 @t313 @t184))) % 0.85/1.15 (assume @p181 (forall @t56 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t313 @t184))) % 0.85/1.15 (assume @p182 (forall @t189 (or @t121 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t87 @t1) @t6)))) % 0.85/1.15 (assume @p183 (forall @t185 (or @t314 @t318))) % 0.85/1.15 (assume @p184 (forall @t185 (or @t314 @t320))) % 0.85/1.15 (assume @p185 (forall (@list @t1 @t2) (or @t322 (= @t321 @t6)))) % 0.85/1.15 (assume @p186 (forall @t185 (or @t322 @t320))) % 0.85/1.15 (assume @p187 (forall @t185 (or @t121 @t320))) % 0.85/1.15 (assume @p188 (forall @t185 (or @t121 @t318))) % 0.85/1.15 (assume @p189 (forall @t185 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t6 @t1)))) % 0.85/1.15 (assume @p190 (forall @t75 (or @t316 (not (= @t51 @t6))))) % 0.85/1.15 (assume @p191 (forall @t17 (or @t315 @t323 @t184 @t300))) % 0.85/1.15 (assume @p192 (forall @t17 (or @t315 @t323 @t300 @t184))) % 0.85/1.15 (assume @p193 (forall @t17 (or @t322 @t323 @t300 @t184))) % 0.85/1.15 (assume @p194 (forall @t17 (or @t129 (= @t15 @t246)))) % 0.85/1.15 (assume @p195 (forall @t25 (= @t112 (tptp.hAPP @t130 @t19)))) % 0.85/1.15 (assume @p196 (forall (@list @t19 @t324 @t47 @t18) (or (not (= (tptp.hAPP @t111 @t324) @t241)) @t325 @t233))) % 0.85/1.15 (assume @p197 (forall @t155 (or @t121 (= @t139 (tptp.hAPP @t106 @t87))))) % 0.85/1.15 (assume @p198 (forall @t98 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t51 @t96 @t1)))) % 0.85/1.15 (assume @p199 (forall @t183 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t57 @t326)) @t72))) % 0.85/1.15 (assume @p200 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t182 @t2 @t1) @t6)))) % 0.85/1.15 (assume @p201 (forall @t25 (or @t259 @t234 @t53))) % 0.85/1.15 (assume @p202 (forall @t82 (or @t8 (= @t203 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t83 @t79 @t1) @t45 @t1))))) % 0.85/1.15 (assume @p203 (forall @t56 (or @t97 (= @t165 @t163)))) % 0.85/1.15 (assume @p204 (forall @t168 (or @t121 (= (tptp.c_HOL_Otimes__class_Otimes @t167 @t157 @t1) (tptp.c_Power_Opower__class_Opower @t87 (tptp.hAPP (tptp.hAPP @t30 @t166) @t156) @t1))))) % 0.85/1.15 (assume @p205 (forall @t82 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t296 @t2 @t1) @t327) @t300))) % 0.85/1.15 (assume @p206 (forall @t195 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t295 @t2 @t1) @t327) @t300))) % 0.85/1.15 (assume @p207 (forall @t61 (or @t121 (= (tptp.hAPP @t328 @t19) (tptp.c_HOL_Otimes__class_Otimes @t292 @t19 @t1))))) % 0.85/1.15 (assume @p208 (forall @t189 (or @t121 (= (tptp.c_Power_Opower__class_Opower @t87 @t28 @t1) @t87)))) % 0.85/1.15 (assume @p209 (forall @t185 (or @t97 (= (tptp.c_Power_Opower__class_Opower @t3 @t28 @t1) @t3)))) % 0.85/1.15 (assume @p210 (forall @t333 (or @t8 @t332 @t331 (= @t81 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t13 @t330) @t329) @t45 @t1))))) % 0.85/1.15 (assume @p211 (forall @t185 (or @t312 @t334 @t11))) % 0.85/1.15 (assume @p212 (forall @t185 (or @t312 @t10 @t335))) % 0.85/1.15 (assume @p213 (forall @t185 (or @t336 @t10 @t335))) % 0.85/1.15 (assume @p214 (forall @t185 (or @t336 @t334 @t11))) % 0.85/1.15 (assume @p215 (forall @t9 (or @t282 @t337 @t147 (not (tptp.c_HOL_Oord__class_Oless @t6 @t151 @t1))))) % 0.85/1.15 (assume @p216 (forall @t9 (or @t282 @t337 @t147 (not @t338)))) % 0.85/1.15 (assume @p217 (forall @t17 (or @t282 @t338 @t339 @t147))) % 0.85/1.15 (assume @p218 (forall @t17 (or @t232 @t338 @t12 @t11))) % 0.85/1.15 (assume @p219 (forall @t25 (or @t22 @t53 @t169))) % 0.85/1.15 (assume @p220 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t6 @t54 @t1) @t147))) % 0.85/1.15 (assume @p221 (forall @t342 (or @t341 (not @t340)))) % 0.85/1.15 (assume @p222 (forall @t25 (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t149 tptp.tc_nat) (tptp.hAPP @t111 @t20)))) % 0.85/1.15 (assume @p223 (forall @t25 (= (tptp.c_HOL_Otimes__class_Otimes @t59 @t18 tptp.tc_nat) (tptp.hAPP @t130 @t20)))) % 0.85/1.15 (assume @p224 (forall @t309 (or @t308 @t287 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Divides_Odiv__class_Odiv @t307 @t47 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t306 @t33))))) % 0.85/1.15 (assume @p225 (forall (@list @t1 @t87 @t86 @t18) (or @t8 (= (tptp.c_Power_Opower__class_Opower @t344 @t18 @t1) (tptp.c_Divides_Odiv__class_Odiv @t161 @t247 @t1)) @t343))) % 0.85/1.15 (assume @p226 (forall (@list @t46 @t87 @t289 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t46 @t87 @t289 @t1) @t87) @t289))) % 0.85/1.15 (assume @p227 (forall @t347 (or (= (tptp.c_Lambda_Osubstn @t101 @t35 @t47) @t101) @t346 @t345))) % 0.85/1.15 (assume @p228 (forall @t75 (or @t55 (not (tptp.c_HOL_Oord__class_Oless @t51 @t6 @t1))))) % 0.85/1.15 (assume @p229 (forall @t155 (or @t232 (not (tptp.c_HOL_Oord__class_Oless @t262 @t6 @t1))))) % 0.85/1.15 (assume @p230 (forall @t183 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t20 @t1) (tptp.c_HOL_Otimes__class_Otimes @t57 @t326 @t1))))) % 0.85/1.15 (assume @p231 (forall @t294 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t293) @t18 tptp.tc_nat) @t348))) % 0.85/1.15 (assume @p232 (forall (@list @t1 @t349 @t86 @t87 @t90) (or @t174 @t173 (not (= (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t349 @t86 @t1)) @t171) (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t349 @t90 @t1)) @t154))) @t239 @t350))) % 0.85/1.15 (assume @p233 (forall @t355 (or @t174 @t173 (not (= (tptp.hAPP @t354 @t353) (tptp.hAPP (tptp.hAPP @t13 (tptp.c_HOL_Otimes__class_Otimes @t3 @t122 @t1)) @t192))) @t352 @t351))) % 0.85/1.15 (assume @p234 (forall (@list @t3 @t45 @t2 @t122) (or (not (= (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t3 @t45 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t2 @t122 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t3 @t122 tptp.tc_nat)) @t356))) @t352 @t351))) % 0.85/1.15 (assume @p235 (forall (@list @t349 @t86 @t87 @t90) (or (not (= (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t349 @t86 tptp.tc_nat)) @t180) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t349 @t90 tptp.tc_nat)) @t179))) @t239 @t350))) % 0.85/1.15 (assume @p236 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t152 @t2 @t1) @t3) @t300))) % 0.85/1.15 (assume @p237 (forall @t9 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t151 @t2 @t1) @t3) @t300))) % 0.85/1.15 (assume @p238 (forall @t25 (or (not (= @t19 @t20)) @t357 @t78))) % 0.85/1.15 (assume @p239 (forall @t333 (or @t8 @t332 @t331 (= @t203 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t330 @t329 @t1) @t45 @t1))))) % 0.85/1.15 (assume @p240 (forall @t366 (or @t121 (= @t365 (tptp.c_HOL_Otimes__class_Otimes @t362 (tptp.c_HOL_Otimes__class_Otimes @t359 @t358 @t1) @t1))))) % 0.85/1.15 (assume @p241 (forall @t366 (or @t121 (= @t365 (tptp.c_HOL_Otimes__class_Otimes @t361 (tptp.c_HOL_Otimes__class_Otimes @t359 @t363 @t1) @t1))))) % 0.85/1.15 (assume @p242 (forall @t366 (or @t121 (= @t365 (tptp.c_HOL_Otimes__class_Otimes @t360 (tptp.c_HOL_Otimes__class_Otimes @t364 @t358 @t1) @t1))))) % 0.85/1.15 (assume @p243 (forall (@list @t1 @t3 @t19) (or @t121 (= (tptp.hAPP @t298 @t19) @t368)))) % 0.85/1.15 (assume @p244 (forall (@list @t1 @t19 @t3) (or @t121 (= (tptp.hAPP @t328 @t297) @t368)))) % 0.85/1.15 (assume @p245 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t51 @t1) @t6)))) % 0.85/1.15 (assume @p246 (forall @t371 (or @t370 (not @t369)))) % 0.85/1.15 (assume @p247 (forall @t371 (or @t369 (not @t370)))) % 0.85/1.15 (assume @p248 (forall @t25 (or (= @t95 @t19) @t234))) % 0.85/1.15 (assume @p249 (forall @t305 (not @t372))) % 0.85/1.15 (assume @p250 (forall @t181 (not (tptp.c_HOL_Oord__class_Oless @t18 @t18 tptp.tc_nat)))) % 0.85/1.15 (assume @p251 (forall @t189 (or @t142 @t373))) % 0.85/1.15 (assume @p252 (forall @t189 (or @t374 @t373))) % 0.85/1.15 (assume @p253 (forall @t189 (or @t145 @t373))) % 0.85/1.15 (assume @p254 (forall @t17 (or @t16 (tptp.c_HOL_Oord__class_Oless @t6 @t15 @t1) @t339 @t147))) % 0.85/1.15 (assume @p255 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t51 @t163 @t1) @t52))) % 0.85/1.15 (assume @p256 (forall @t376 (or @t336 @t140 @t143 @t375))) % 0.85/1.15 (assume @p257 (forall @t155 (or @t374 @t375 @t140 @t143))) % 0.85/1.15 (assume @p258 (forall @t378 (or @t375 @t377 @t88))) % 0.85/1.15 (assume @p259 (forall @t379 (or @t377 @t375 @t88))) % 0.85/1.15 (assume @p260 (forall @t25 (or @t72 @t380 @t201))) % 0.85/1.15 (assume @p261 (forall @t27 (or @t381 @t233 @t72))) % 0.85/1.15 (assume @p262 (forall (@list @t306 @t18 @t19) (or (tptp.hBOOL (tptp.hAPP @t382 @t19)) @t381 @t72 @t233))) % 0.85/1.15 (assume @p263 (forall @t378 (or @t375 @t88 @t377))) % 0.85/1.15 (assume @p264 (forall @t385 (or @t384 @t351 @t383))) % 0.85/1.15 (assume @p265 (forall @t385 (or @t384 @t383 @t351))) % 0.85/1.15 (assume @p266 (forall @t379 (or (tptp.c_HOL_Oord__class_Oless @t86 @t87 tptp.tc_nat) @t214 @t375))) % 0.85/1.15 (assume @p267 (forall @t376 (or @t374 @t140 @t143 @t375))) % 0.85/1.15 (assume @p268 (forall @t376 (or @t374 @t140 @t375 @t143))) % 0.85/1.15 (assume @p269 (forall @t155 (or @t374 @t375 @t143 @t140))) % 0.85/1.15 (assume @p270 (forall @t27 (or @t380 @t234 @t169))) % 0.85/1.15 (assume @p271 (forall @t355 (or @t386 (tptp.c_HOL_Oord__class_Oless @t127 @t265 @t1) (not (tptp.c_HOL_Oord__class_Oless @t45 @t122 @t1)) @t281))) % 0.85/1.15 (assume @p272 (forall (@list @t33 @t47 @t29 @t324) (or (tptp.c_HOL_Oord__class_Oless @t387 (tptp.hAPP @t31 @t324) tptp.tc_nat) @t325 @t218))) % 0.85/1.15 (assume @p273 (forall @t195 (or @t121 @t252 @t257 @t5))) % 0.85/1.15 (assume @p274 (forall @t185 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t3 @t1)))) % 0.85/1.15 (assume @p275 (forall @t305 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t87 @t87 tptp.tc_nat))) % 0.85/1.15 (assume @p276 (forall @t389 (or @t388 @t92 @t91 @t89 @t88))) % 0.85/1.15 (assume @p277 (forall @t389 (or @t388 @t91 @t88))) % 0.85/1.15 (assume @p278 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t51 @t150 @t1) @t52))) % 0.85/1.15 (assume @p279 (forall @t183 (or @t55 @t390 @t234))) % 0.85/1.15 (assume @p280 (forall @t183 (or @t55 @t233 (not @t390)))) % 0.85/1.15 (assume @p281 (forall @t17 (or @t174 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t319 (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 @t1) @t1)))) % 0.85/1.15 (assume @p282 (forall @t17 (or @t174 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t317 @t321 @t1)))) % 0.85/1.15 (assume @p283 (forall @t25 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t392 @t391 tptp.tc_nat))) % 0.85/1.15 (assume @p284 (forall @t75 (or @t55 (tptp.c_HOL_Oord__class_Oless @t6 @t51 @t1)))) % 0.85/1.15 (assume @p285 (forall @t285 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 tptp.tc_nat) @t45 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t3 @t284 tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t3 @t283 tptp.tc_nat) @t45 tptp.tc_nat))))) % 0.85/1.15 (assume @p286 (forall @t132 (or @t233 @t65))) % 0.85/1.15 (assume @p287 (forall @t132 (or @t233 @t71))) % 0.85/1.15 (assume @p288 (forall @t67 (or @t202 @t201 @t73))) % 0.85/1.15 (assume @p289 (forall @t132 (or @t200 @t299 @t73))) % 0.85/1.15 (assume @p290 (forall @t132 (or @t200 @t73 @t299))) % 0.85/1.15 (assume @p291 (forall @t185 (or @t55 (tptp.c_HOL_Oord__class_Oless @t3 @t367 @t1)))) % 0.85/1.15 (assume @p292 (forall @t25 (or (tptp.c_HOL_Oord__class_Oless @t258 @t19 tptp.tc_nat) @t169 (not (tptp.c_HOL_Oord__class_Oless @t28 @t18 tptp.tc_nat))))) % 0.85/1.15 (assume @p293 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t3 @t6 @t1) @t6)))) % 0.85/1.15 (assume @p294 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t6 @t3 @t1) @t6)))) % 0.85/1.15 (assume @p295 (forall @t185 (or @t312 (not (= @t310 @t6)) @t184))) % 0.85/1.15 (assume @p296 (forall (@list @t1 @t87 @t3) (or @t174 @t173 (not (= @t87 (tptp.hAPP @t104 @t3))) @t184))) % 0.85/1.15 (assume @p297 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t3 @t1) @t6)))) % 0.85/1.15 (assume @p298 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t6 @t1) @t3)))) % 0.85/1.15 (assume @p299 (forall @t185 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t6 @t3 @t1) @t6)))) % 0.85/1.15 (assume @p300 (forall @t75 (or @t312 (= (tptp.hAPP @t393 @t6) @t6)))) % 0.85/1.15 (assume @p301 (forall @t75 (or @t316 (not (= @t6 @t51))))) % 0.85/1.15 (assume @p302 (forall @t185 (or @t121 @t184 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t6 @t3 @t1))))) % 0.85/1.15 (assume @p303 (forall @t189 (or @t121 (= (tptp.hAPP @t393 @t87) @t87)))) % 0.85/1.15 (assume @p304 (forall @t185 (or @t129 @t394))) % 0.85/1.15 (assume @p305 (forall @t189 (or @t174 @t173 (= @t87 (tptp.hAPP @t104 @t6))))) % 0.85/1.15 (assume @p306 (forall @t185 (or @t129 @t395))) % 0.85/1.15 (assume @p307 (forall @t185 (or @t396 @t394))) % 0.85/1.15 (assume @p308 (forall @t185 (or @t396 @t395))) % 0.85/1.15 (assume @p309 (forall @t185 (or @t121 @t395))) % 0.85/1.15 (assume @p310 (forall @t185 (or @t121 @t394))) % 0.85/1.15 (assume @p311 (forall @t75 (or @t397 @t164 (= (tptp.c_Power_Opower__class_Opower @t6 @t21 @t1) @t51)))) % 0.85/1.15 (assume @p312 (forall @t400 (or (not @t399) @t398))) % 0.85/1.15 (assume @p313 (forall @t400 (or (not @t398) @t399))) % 0.85/1.15 (assume @p314 (forall @t25 (= @t401 (tptp.c_HOL_Otimes__class_Otimes @t18 @t21 tptp.tc_nat)))) % 0.85/1.15 (assume @p315 (forall @t25 (= @t392 @t391))) % 0.85/1.15 (assume @p316 (forall @t407 (or @t406 (tptp.hBOOL (tptp.hAPP @t306 @t404)) @t403))) % 0.85/1.15 (assume @p317 (forall @t410 (or @t402 (not (tptp.hBOOL (tptp.hAPP @t306 @t409))) @t408))) % 0.85/1.15 (assume @p318 (not (tptp.c_HOL_Oord__class_Oless @t21 @t21 tptp.tc_nat))) % 0.85/1.15 (assume @p319 (forall (@list @t306 @t19) (or (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Divides_Odiv__class_Odiv @t19 @t21 tptp.tc_nat))) @t403))) % 0.85/1.15 (assume @p320 (forall @t400 (or @t403 @t411))) % 0.85/1.15 (assume @p321 (forall @t400 (or (not @t411) @t402))) % 0.85/1.15 (assume @p322 (forall @t181 (or @t26 @t412))) % 0.85/1.15 (assume @p323 (forall @t400 (or @t399 (tptp.hBOOL (tptp.hAPP @t306 @t413)) @t403))) % 0.85/1.15 (assume @p324 (forall @t170 (= @t401 @t21))) % 0.85/1.15 (assume @p325 (forall @t181 (= @t391 @t21))) % 0.85/1.15 (assume @p326 (forall @t25 (or (not (= @t20 @t21)) @t412 @t357))) % 0.85/1.15 (assume @p327 (forall @t25 (or @t414 @t412))) % 0.85/1.15 (assume @p328 (forall @t25 (or @t414 @t357))) % 0.85/1.15 (assume @p329 (forall @t240 (or (not (= @t69 @t68)) @t287 @t72))) % 0.85/1.15 (assume @p330 (forall @t67 (or @t74 @t287 @t72))) % 0.85/1.15 (assume @p331 (forall @t67 (or @t74 @t72 @t287))) % 0.85/1.15 (assume @p332 (forall (@list @t87 @t3) (or (not (= @t87 (tptp.hAPP @t133 @t3))) (= @t3 @t21)))) % 0.85/1.15 (assume @p333 (forall @t25 (or (not (= @t112 @t19)) @t412))) % 0.85/1.15 (assume @p334 (forall @t407 (or @t406 (tptp.hBOOL (tptp.hAPP @t306 @t415)) @t403))) % 0.85/1.15 (assume @p335 (forall @t407 (or @t406 (tptp.hBOOL (tptp.hAPP @t306 @t416)) @t403))) % 0.85/1.15 (assume @p336 (= (tptp.hAPP @t417 @t21) @t21)) % 0.85/1.15 (assume @p337 (forall @t407 (or @t406 (tptp.hBOOL (tptp.hAPP @t306 @t418)) @t403))) % 0.85/1.15 (assume @p338 (forall @t170 (not (tptp.c_HOL_Oord__class_Oless @t19 @t21 tptp.tc_nat)))) % 0.85/1.15 (assume @p339 (forall @t181 (not (tptp.c_HOL_Oord__class_Oless @t18 @t21 tptp.tc_nat)))) % 0.85/1.15 (assume @p340 (forall @t407 (or @t406 (tptp.hBOOL (tptp.hAPP @t306 @t419)) @t403))) % 0.85/1.15 (assume @p341 (forall @t305 (= @t87 (tptp.hAPP @t133 @t21)))) % 0.85/1.15 (assume @p342 (forall @t181 (= (tptp.hAPP @t417 @t18) @t18))) % 0.85/1.15 (assume @p343 (forall @t170 (= (tptp.hAPP @t111 @t21) @t19))) % 0.85/1.15 (assume @p344 (forall @t27 (or (tptp.c_HOL_Oord__class_Oless @t18 @t153 tptp.tc_nat) @t422 @t421))) % 0.85/1.15 (assume @p345 (forall @t27 (or (tptp.c_HOL_Oord__class_Oless @t18 @t20 tptp.tc_nat) @t422 @t421))) % 0.85/1.15 (assume @p346 (forall @t25 (or (tptp.c_HOL_Oord__class_Oless @t420 @t20 tptp.tc_nat) @t422 @t421))) % 0.85/1.15 (assume @p347 (forall @t67 (or (not (= @t237 @t236)) @t72))) % 0.85/1.15 (assume @p348 (forall @t25 (or @t423 @t234))) % 0.85/1.15 (assume @p349 (forall @t25 (or @t233 (not @t424)))) % 0.85/1.15 (assume @p350 (forall @t25 (= @t348 (tptp.c_Divides_Odiv__class_Omod @t425 @t18 tptp.tc_nat)))) % 0.85/1.15 (assume @p351 (forall @t217 (or (tptp.c_HOL_Oord__class_Oless @t426 @t47 tptp.tc_nat) @t308 @t218))) % 0.85/1.15 (assume @p352 (forall @t305 @t428)) % 0.85/1.15 (assume @p353 (forall @t181 (tptp.c_HOL_Oord__class_Oless @t18 @t149 tptp.tc_nat))) % 0.85/1.15 (assume @p354 (forall @t27 (or (= @t18 @t19) @t430 @t381))) % 0.85/1.15 (assume @p355 (forall @t25 (or @t72 @t430 @t381))) % 0.85/1.15 (assume @p356 (forall @t25 (or @t72 @t233 (not @t423)))) % 0.85/1.15 (assume @p357 (forall @t25 (= @t432 @t431))) % 0.85/1.15 (assume @p358 (forall @t25 (= @t433 @t431))) % 0.85/1.15 (assume @p359 (forall @t25 (or (= @t348 @t425) @t434))) % 0.85/1.15 (assume @p360 (forall @t25 (= @t432 @t433))) % 0.85/1.15 (assume @p361 (forall @t25 (or @t424 (= @t59 @t18) @t234))) % 0.85/1.15 (assume @p362 (forall @t305 (or @t372 @t428))) % 0.85/1.15 (assume @p363 (forall @t25 (or @t234 @t430))) % 0.85/1.15 (assume @p364 (forall @t27 (or @t429 @t233))) % 0.85/1.15 (assume @p365 (forall @t342 (or (tptp.c_HOL_Oord__class_Oless @t427 @t149 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t87 @t18 tptp.tc_nat))))) % 0.85/1.15 (assume @p366 (forall @t25 (or @t233 (not @t435)))) % 0.85/1.15 (assume @p367 (forall @t25 (or @t435 @t234))) % 0.85/1.15 (assume @p368 (forall (@list @t35 @t38 @t47) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t436 @t38)) @t47) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t36 @t47)) @t276)))) % 0.85/1.15 (assume @p369 (forall (@list @t48 @t35 @t38) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t438 @t35) (tptp.hAPP @t438 @t38)) @t437))) % 0.85/1.15 (assume @p370 (forall (@list @t35 @t48 @t38) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t436 @t48) @t439) @t437))) % 0.85/1.15 (assume @p371 (forall @t440 (= (tptp.c_Lambda_Osubstn @t439 @t35 @t47) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t38 @t35 @t47)) (tptp.c_Lambda_Osubstn @t48 @t35 @t47))))) % 0.85/1.15 (assume @p372 (forall @t229 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t228) @t35) @t47) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP @t36 @t21)) @t227))))) % 0.85/1.15 (assume @p373 (forall @t442 (or (tptp.c_Lambda_Obeta @t441 @t228) @t437))) % 0.85/1.15 (assume @p374 (forall (@list @t447 @t445 @t443 @t1) (or (not (= @t448 @t190)) @t446))) % 0.85/1.15 (assume @p375 (forall (@list @t1 @t447 @t445 @t443) (or (not (= @t190 @t448)) @t446))) % 0.85/1.15 (assume @p376 (forall (@list @t447 @t443 @t1) (= @t449 @t190))) % 0.85/1.15 (assume @p377 (forall (@list @t1 @t447 @t443) (= @t190 @t449))) % 0.85/1.15 (assume @p378 (forall (@list @t447 @t3 @t443 @t1) (= (tptp.c_List_Ofoldl @t447 @t3 @t444 @t1 @t443) @t3))) % 0.85/1.15 (assume @p379 (forall (@list @t1 @t87 @t86 @t450) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t13 @t139 @t450 @t1 @t1) (tptp.hAPP @t104 (tptp.c_List_Ofoldl @t13 @t86 @t450 @t1 @t1)))))) % 0.85/1.15 (assume @p380 (forall (@list @t274 @t38 @t33 @t35) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t452 @t38) @t33) (tptp.hAPP @t451 @t33)) @t275))) % 0.85/1.15 (assume @p381 (forall (@list @t38 @t47 @t35) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t276) @t35) @t47) @t38))) % 0.85/1.15 (assume @p382 (forall (@list @t46 @t33 @t291 @t454 @t453) (or (tptp.c_Type_Otypings @t456 @t455 @t453) (not (tptp.c_Type_Otypings @t46 @t454 @t453))))) % 0.85/1.15 (assume @p383 (forall (@list @t33 @t38) (not (tptp.c_Lambda_Obeta @t101 @t38)))) % 0.85/1.15 (assume @p384 (forall (@list @t46 @t33 @t289) (or (= (tptp.hAPP @t46 @t33) @t289) (not (tptp.c_Type_Otyping @t46 @t101 @t289))))) % 0.85/1.15 (assume @p385 (forall (@list @t457 @t87) (tptp.c_Type_Otyping @t457 @t458 (tptp.hAPP @t457 @t87)))) % 0.85/1.15 (assume @p386 (forall (@list @t38 @t33) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t40)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t38)))))) % 0.85/1.15 (assume @p387 (forall @t462 (= (tptp.c_Lambda_OdB_OdB__size @t461) (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Lambda_OdB_OdB__size @t460)) (tptp.c_Lambda_OdB_OdB__size @t459))) @t420)))) % 0.85/1.15 (assume @p388 (forall @t462 (= (tptp.c_Nat_Osize__class_Osize @t461 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Nat_Osize__class_Osize @t460 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t459 tptp.tc_Lambda_OdB))) @t420)))) % 0.85/1.15 (assume @p389 (forall @t465 (= (tptp.c_Lambda_OdB_OdB__size @t464) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Lambda_OdB_OdB__size @t463)) @t420)))) % 0.85/1.15 (assume @p390 (forall @t465 (= (tptp.c_Nat_Osize__class_Osize @t464 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Nat_Osize__class_Osize @t463 tptp.tc_Lambda_OdB)) @t420)))) % 0.85/1.15 (assume @p391 (forall @t98 (or @t316 @t315 @t314 @t164 @t466 @t412))) % 0.85/1.15 (assume @p392 (forall @t98 (or @t397 @t164 @t466 @t412))) % 0.85/1.15 (assume @p393 (forall @t155 (or @t467 (= (tptp.c_HOL_Otimes__class_Otimes @t87 @t154 @t1) @t154)))) % 0.85/1.15 (assume @p394 (forall (@list @t1 @t87 @t86 @t349 @t90) (or @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t344 (tptp.c_Divides_Odiv__class_Odiv @t349 @t90 @t1) @t1) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t87 @t349 @t1) @t468 @t1)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t90 @t349 @t1)) @t343))) % 0.85/1.15 (assume @p395 (forall (@list @t87 @t18 @t470 @t86 @t469) (or (not (= (tptp.hAPP @t133 (tptp.c_HOL_Otimes__class_Otimes @t18 @t470 tptp.tc_nat)) (tptp.hAPP @t135 (tptp.c_HOL_Otimes__class_Otimes @t18 @t469 tptp.tc_nat)))) (= (tptp.c_Divides_Odiv__class_Omod @t87 @t18 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t86 @t18 tptp.tc_nat))))) % 0.85/1.15 (assume @p396 (forall @t98 (or @t55 @t471 @t53))) % 0.85/1.15 (assume @p397 (forall @t98 (or @t55 @t26 (not @t471)))) % 0.85/1.15 (assume @p398 (forall @t185 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t51 @t3 @t1)))) % 0.85/1.15 (assume @p399 (forall @t113 (or @t55 (not (= @t110 @t54)) @t52 @t72))) % 0.85/1.15 (assume @p400 (forall (@list @t166) (= (tptp.c_Power_Opower__class_Opower @t166 @t21 tptp.tc_nat) @t28))) % 0.85/1.15 (assume @p401 (forall @t185 (or @t164 (= @t472 @t51)))) % 0.85/1.15 (assume @p402 (forall @t189 (or @t121 (= (tptp.c_Power_Opower__class_Opower @t87 @t21 @t1) @t51)))) % 0.85/1.15 (assume @p403 (forall @t67 (or @t288 @t73))) % 0.85/1.15 (assume @p404 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Odiv @t317 @t321 @t1) @t6)))) % 0.85/1.15 (assume @p405 (forall @t25 (= (tptp.c_Divides_Odiv__class_Odiv @t392 @t391 tptp.tc_nat) @t21))) % 0.85/1.15 (assume @p406 (forall @t160 (or @t121 (= @t158 @t159)))) % 0.85/1.15 (assume @p407 (forall @t160 (or @t121 (= (tptp.c_HOL_Otimes__class_Otimes @t157 @t87 @t1) @t159)))) % 0.85/1.15 (assume @p408 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t15 @t2 @t1) @t182)))) % 0.85/1.15 (assume @p409 (forall @t9 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t246 @t2 @t1) @t182)))) % 0.85/1.15 (assume @p410 (forall (@list @t46 @t33 @t289 @t1 @t29) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t46 @t33 @t289 @t1) @t29) (tptp.hAPP @t46 @t29)) @t473))) % 0.85/1.15 (assume @p411 (forall @t9 (or @t282 (tptp.c_HOL_Oord__class_Oless @t151 @t6 @t1) @t12 @t147))) % 0.85/1.15 (assume @p412 (forall @t17 (or @t282 @t474 @t12 @t147))) % 0.85/1.15 (assume @p413 (forall @t17 (or @t282 @t474 @t339 @t11))) % 0.85/1.15 (assume @p414 (forall @t256 (or @t121 @t255 @t475))) % 0.85/1.15 (assume @p415 (forall @t195 (or @t121 @t252 @t475))) % 0.85/1.15 (assume @p416 (forall @t82 (or @t121 @t476 @t5))) % 0.85/1.15 (assume @p417 (forall @t82 (or @t121 @t476 @t253))) % 0.85/1.15 (assume @p418 (forall @t207 (or @t55 (tptp.c_HOL_Oord__class_Oless @t2 @t127 @t1) (not (tptp.c_HOL_Oord__class_Oless @t2 @t45 @t1)) @t147))) % 0.85/1.15 (assume @p419 (forall @t285 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t356 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t2 (tptp.c_Divides_Odiv__class_Omod @t477 @t45 tptp.tc_nat) tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod @t3 @t2 tptp.tc_nat))))) % 0.85/1.15 (assume @p420 (forall @t82 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t182 @t45 @t1) @t83) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t45 @t2 @t1))))) % 0.85/1.15 (assume @p421 (forall (@list @t1 @t2 @t87 @t86) (or @t55 @t479 @t215 @t478))) % 0.85/1.15 (assume @p422 (forall (@list @t1 @t87 @t86 @t2) (or @t55 @t214 (not @t479) @t478))) % 0.85/1.15 (assume @p423 (forall (@list @t1 @t3 @t18 @t211) (or @t55 (tptp.c_HOL_Oord__class_Oless @t54 @t213 @t1) @t52 @t212))) % 0.85/1.15 (assume @p424 (forall (@list @t1 @t19 @t18 @t3) (or @t55 @t233 (not (tptp.c_HOL_Oord__class_Oless @t110 @t54 @t1)) @t52))) % 0.85/1.15 (assume @p425 (forall @t480 (not (tptp.c_HOL_Oord__class_Oless @t50 @t33 tptp.tc_nat)))) % 0.85/1.15 (assume @p426 (forall (@list @t29 @t33) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t31 @t33) @t33 tptp.tc_nat)))) % 0.85/1.15 (assume @p427 (forall @t56 (or @t55 (tptp.c_HOL_Oord__class_Oless @t54 @t163 @t1) @t52))) % 0.85/1.15 (assume @p428 (forall @t285 (= (tptp.c_Divides_Odiv__class_Odiv @t3 @t356 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t477 @t45 tptp.tc_nat)))) % 0.85/1.15 (assume @p429 (forall @t355 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t193 @t353 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t45 @t122 @t1)) @t5))) % 0.85/1.15 (assume @p430 (forall (@list @t2 @t156 @t45 @t274) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP @t30 (tptp.c_HOL_Otimes__class_Otimes @t2 (tptp.c_Divides_Odiv__class_Omod @t156 @t45 tptp.tc_nat) tptp.tc_nat)) @t274) @t356 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t274 @t2 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t21 @t45 tptp.tc_nat))))) % 0.85/1.15 (assume @p431 (forall (@list @t1 @t87 @t274 @t45 @t122) (or @t174 @t173 (not (= (tptp.hAPP @t104 (tptp.c_HOL_Otimes__class_Otimes @t274 @t45 @t1)) (tptp.hAPP @t104 (tptp.c_HOL_Otimes__class_Otimes @t274 @t122 @t1)))) @t352 (= @t274 @t6)))) % 0.85/1.15 (assume @p432 (forall (@list @t87 @t274 @t45 @t122) (or (not (= (tptp.hAPP @t133 (tptp.c_HOL_Otimes__class_Otimes @t274 @t45 tptp.tc_nat)) (tptp.hAPP @t133 (tptp.c_HOL_Otimes__class_Otimes @t274 @t122 tptp.tc_nat)))) @t352 (= @t274 @t21)))) % 0.85/1.15 (assume @p433 (forall @t155 (or @t232 @t481 @t264))) % 0.85/1.15 (assume @p434 (forall @t155 (or @t232 @t481 @t260))) % 0.85/1.15 (assume @p435 (forall @t162 (or @t121 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t87 @t161 @t1) @t53))) % 0.85/1.15 (assume @p436 (forall @t195 (or @t386 @t482 @t281))) % 0.85/1.15 (assume @p437 (forall @t195 (or @t483 @t482 @t281))) % 0.85/1.15 (assume @p438 (forall @t82 (or @t483 @t270 (not @t482)))) % 0.85/1.15 (assume @p439 (forall @t199 (or @t386 @t484 @t281))) % 0.85/1.15 (assume @p440 (forall @t199 (or @t483 @t484 @t281))) % 0.85/1.15 (assume @p441 (forall @t82 (or @t483 @t270 (not @t484)))) % 0.85/1.15 (assume @p442 (forall @t217 (or (tptp.c_HOL_Oord__class_Oless @t387 (tptp.hAPP @t31 @t47) tptp.tc_nat) @t218))) % 0.85/1.15 (assume @p443 (forall @t132 (or @t233 (not @t485)))) % 0.85/1.15 (assume @p444 (forall @t67 (or @t485 @t234))) % 0.85/1.15 (assume @p445 (forall (@list @t46 @t487 @t289 @t38) (or (tptp.c_Type_Otyping @t46 @t487 @t289) (not (tptp.c_Lambda_Obeta @t38 @t487)) @t486))) % 0.85/1.15 (assume @p446 (forall @t27 (or @t78 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t19 tptp.tc_nat)) @t169))) % 0.85/1.15 (assume @p447 (forall @t27 (or @t78 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t153 @t19 tptp.tc_nat)) @t169))) % 0.85/1.15 (assume @p448 (forall @t189 (or @t467 (= @t261 @t87)))) % 0.85/1.15 (assume @p449 (forall @t17 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t152 @t2 @t1) @t6)))) % 0.85/1.15 (assume @p450 (forall @t9 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t151 @t2 @t1) @t6)))) % 0.85/1.15 (assume @p451 (forall (@list @t122 @t87) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t122 @t87 tptp.tc_nat) @t122 tptp.tc_nat) @t21))) % 0.85/1.15 (assume @p452 (forall @t170 (or @t76 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t19 @t28 tptp.tc_nat))))) % 0.85/1.15 (assume @p453 (forall @t17 (or @t8 (= (tptp.hAPP (tptp.hAPP @t13 @t182) @t208) @t3)))) % 0.85/1.15 (assume @p454 (forall @t75 (or @t232 (= @t303 @t6)))) % 0.85/1.15 (assume @p455 (forall @t199 (or @t232 @t269 @t270 @t273))) % 0.85/1.15 (assume @p456 (forall @t207 (or @t232 @t271 @t268 @t273))) % 0.85/1.15 (assume @p457 (forall @t199 (or @t232 @t269 @t270 @t267))) % 0.85/1.15 (assume @p458 (forall @t207 (or @t232 @t271 @t268 @t267))) % 0.85/1.15 (assume @p459 (forall (@list @t18 @t87) (or @t412 @t340 (not @t341)))) % 0.85/1.15 (assume @p460 (forall @t183 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t112 @t1) (tptp.hAPP (tptp.hAPP @t13 @t57) @t326))))) % 0.85/1.15 (assume @p461 (forall (@list @t1 @t3 @t2 @t18) (or @t188 (= (tptp.c_Power_Opower__class_Opower @t152 @t18 @t1) (tptp.c_HOL_Otimes__class_Otimes @t54 (tptp.c_Power_Opower__class_Opower @t2 @t18 @t1) @t1))))) % 0.85/1.15 (assume @p462 (forall (@list @t1 @t87 @t86 @t156) (or @t121 (= (tptp.c_Power_Opower__class_Opower @t154 @t156 @t1) (tptp.c_HOL_Otimes__class_Otimes @t157 (tptp.c_Power_Opower__class_Opower @t86 @t156 @t1) @t1))))) % 0.85/1.15 (assume @p463 (forall @t195 (or @t8 (= @t85 @t81)))) % 0.85/1.15 (assume @p464 (forall @t82 (or @t8 (= @t80 @t81)))) % 0.85/1.15 (assume @p465 (forall @t113 (or @t97 (= (tptp.c_Power_Opower__class_Opower @t3 @t20 @t1) (tptp.c_Power_Opower__class_Opower @t110 @t18 @t1))))) % 0.85/1.15 (assume @p466 (forall @t9 (or @t8 (= @t206 @t3)))) % 0.85/1.15 (assume @p467 (forall @t17 (or @t8 (= @t209 @t3)))) % 0.85/1.15 (assume @p468 (forall @t17 (or @t8 (= @t3 @t209)))) % 0.85/1.15 (assume @p469 (forall @t195 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t193 @t192 @t1) (tptp.c_HOL_Otimes__class_Otimes @t182 @t45 @t1))))) % 0.85/1.15 (assume @p470 (forall @t199 (or @t8 (= (tptp.c_Divides_Odiv__class_Omod @t197 @t196 @t1) (tptp.c_HOL_Otimes__class_Otimes @t45 @t182 @t1))))) % 0.85/1.15 (assume @p471 (forall (@list @t35 @t47) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t441) @t47) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t36 @t227))))) % 0.85/1.15 (assume @p472 (forall @t25 (or @t488 @t76))) % 0.85/1.15 (assume @p473 (forall @t25 (or @t488 @t78))) % 0.85/1.15 (assume @p474 (forall @t82 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t152 @t45 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t192 @t1))))) % 0.85/1.15 (assume @p475 (forall @t490 (or @t121 (= @t489 (tptp.c_HOL_Otimes__class_Otimes @t362 @t359 @t1))))) % 0.85/1.15 (assume @p476 (forall @t490 (or @t121 (= @t489 (tptp.c_HOL_Otimes__class_Otimes @t361 (tptp.c_HOL_Otimes__class_Otimes @t359 @t360 @t1) @t1))))) % 0.85/1.15 (assume @p477 (forall @t492 (or @t121 (= @t491 (tptp.c_HOL_Otimes__class_Otimes @t362 @t358 @t1))))) % 0.85/1.15 (assume @p478 (forall @t492 (or @t121 (= @t491 (tptp.c_HOL_Otimes__class_Otimes @t360 (tptp.c_HOL_Otimes__class_Otimes @t361 @t358 @t1) @t1))))) % 0.85/1.15 (assume @p479 (forall @t132 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t47 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t19 @t68 tptp.tc_nat)))) % 0.85/1.15 (assume @p480 (forall @t138 (or @t121 (= (tptp.c_HOL_Otimes__class_Otimes @t87 @t468 @t1) (tptp.c_HOL_Otimes__class_Otimes @t154 @t90 @t1))))) % 0.85/1.15 (assume @p481 (forall @t82 (or @t121 @t493))) % 0.85/1.15 (assume @p482 (forall @t82 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t493))) % 0.85/1.15 (assume @p483 (forall @t132 (= (tptp.c_HOL_Otimes__class_Otimes @t112 @t47 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t30 @t69) @t68)))) % 0.85/1.15 (assume @p484 (forall @t67 (= (tptp.c_HOL_Otimes__class_Otimes @t47 @t112 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t30 @t63) @t62)))) % 0.85/1.15 (assume @p485 (forall @t138 (or @t121 (= (tptp.c_HOL_Otimes__class_Otimes @t87 @t107 @t1) @t172)))) % 0.85/1.15 (assume @p486 (forall (@list @t46 @t33 @t291 @t38 @t289) (or (tptp.c_Type_Otyping @t456 @t40 @t289) @t486))) % 0.85/1.15 (assume @p487 (forall @t17 (or @t142 @t281 @t279))) % 0.85/1.15 (assume @p488 (forall @t155 (or @t374 @t144 @t141))) % 0.85/1.15 (assume @p489 (forall @t389 (or @t388 @t92 @t91 @t88))) % 0.85/1.15 (assume @p490 (forall @t389 (or @t388 @t91 @t89 @t88))) % 0.85/1.15 (assume @p491 (forall @t376 (or @t145 @t141 @t144))) % 0.85/1.15 (assume @p492 (forall @t9 (or @t145 @t279 @t281))) % 0.85/1.15 (assume @p493 (forall @t185 (or @t316 @t315 @t314 @t164 (not (= @t472 @t6))))) % 0.85/1.15 (assume @p494 (forall @t75 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t21 @t1) @t6)))) % 0.85/1.15 (assume @p495 (forall @t98 (or @t397 @t164 (= (tptp.c_Power_Opower__class_Opower @t6 @t149 @t1) @t6)))) % 0.85/1.15 (assume @p496 (forall (@list @t86) (or (= @t86 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1 @t86))) (= @t86 @t21)))) % 0.85/1.15 (assume @p497 (forall @t25 (or @t494 @t357 @t412))) % 0.85/1.15 (assume @p498 (forall @t25 (or @t494 @t496 @t495))) % 0.85/1.15 (assume @p499 (= @t497 @t420)) % 0.85/1.16 (assume @p500 (forall @t410 (or @t402 (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t409))) @t408))) % 0.85/1.16 (assume @p501 (forall (@list @t87 @t19) (or (not (= (tptp.c_Power_Opower__class_Opower @t87 @t19 tptp.tc_nat) @t420)) (= @t87 @t420) @t357))) % 0.85/1.16 (assume @p502 (= @t420 @t498)) % 0.85/1.16 (assume @p503 (forall @t407 (or @t406 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t404)))) @t403))) % 0.85/1.16 (assume @p504 (forall @t170 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t420 tptp.tc_nat) @t21))) % 0.85/1.16 (assume @p505 (= (tptp.c_HOL_Otimes__class_Otimes @t420 @t420 tptp.tc_nat) @t420)) % 0.85/1.16 (assume @p506 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t420 @t420 tptp.tc_nat)) % 0.85/1.16 (assume @p507 (forall @t25 (or @t499 @t357 @t412))) % 0.85/1.16 (assume @p508 (forall @t25 (or @t499 @t496 @t495))) % 0.85/1.16 (assume @p509 (tptp.c_HOL_Oord__class_Oless @t21 @t420 tptp.tc_nat)) % 0.85/1.16 (assume @p510 (= @t28 @t420)) % 0.85/1.16 (assume @p511 (forall (@list @t46 @t33 @t291 @t1 @t289) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t46 @t33 @t291 @t1) @t21 @t289 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t46 @t21 @t289 @t1) @t426 @t291 @t1)))) % 0.85/1.16 (assume @p512 (forall @t400 (or @t399 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t413)))) @t403))) % 0.85/1.16 (assume @p513 (forall @t25 (or @t500 @t496))) % 0.85/1.16 (assume @p514 (forall @t25 (or @t500 @t495))) % 0.85/1.16 (assume @p515 (forall @t407 (or @t406 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t415)))) @t403))) % 0.85/1.16 (assume @p516 (forall @t407 (or @t406 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t419)))) @t403))) % 0.85/1.16 (assume @p517 (forall (@list @t248) (or (= @t248 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1 @t248))) (= @t248 @t21)))) % 0.85/1.16 (assume @p518 (forall @t305 (= @t304 @t420))) % 0.85/1.16 (assume @p519 (forall @t407 (or @t406 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t418)))) @t403))) % 0.85/1.16 (assume @p520 (= @t498 @t420)) % 0.85/1.16 (assume @p521 (forall @t181 (or @t412 (not (tptp.c_HOL_Oord__class_Oless @t18 @t420 tptp.tc_nat))))) % 0.85/1.16 (assume @p522 (forall @t407 (or @t406 (not (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Suc @t416)))) @t403))) % 0.85/1.16 (assume @p523 (forall @t181 (or (= @t18 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1 @t18))) @t412))) % 0.85/1.16 (assume @p524 (forall (@list @t47) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t420 @t47 tptp.tc_nat))) % 0.85/1.16 (assume @p525 (= @t420 @t497)) % 0.85/1.16 (assume @p526 (forall @t25 (or @t499 @t496 @t412))) % 0.85/1.16 (assume @p527 (forall @t25 (or @t499 @t357 @t495))) % 0.85/1.16 (assume @p528 (forall @t181 (tptp.c_HOL_Oord__class_Oless @t21 @t149 tptp.tc_nat))) % 0.85/1.16 (assume @p529 (forall @t305 (tptp.c_HOL_Oord__class_Oless @t21 @t427 tptp.tc_nat))) % 0.85/1.16 (assume @p530 (forall @t25 (or (not @t434) (= @t348 @t21)))) % 0.85/1.16 (assume @p531 (forall @t25 (or @t494 @t496 @t412))) % 0.85/1.16 (assume @p532 (forall @t25 (or @t494 @t357 @t495))) % 0.85/1.16 (assume @p533 (forall @t170 (= (tptp.c_Power_Opower__class_Opower @t420 @t19 tptp.tc_nat) @t420))) % 0.85/1.16 (assume @p534 (forall @t181 (= (tptp.c_Power_Opower__class_Opower @t420 @t18 tptp.tc_nat) @t420))) % 0.85/1.16 (assume @p535 (forall @t170 (or @t495 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t19 @t420 tptp.tc_nat))))) % 0.85/1.16 (assume @p536 (forall @t170 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t420 tptp.tc_nat) @t19))) % 0.85/1.16 (assume @p537 (forall (@list @t1 @t87 @t450) (or @t396 (= (tptp.hAPP @t104 (tptp.c_List_Ofoldl @t13 @t6 @t450 @t1 @t1)) (tptp.c_List_Ofoldl @t13 @t87 @t450 @t1 @t1))))) % 0.85/1.16 (assume @p538 (forall (@list @t38 @t35) (= (tptp.c_Lambda_Osubstn @t38 @t35 @t21) (tptp.hAPP @t42 @t21)))) % 0.85/1.16 (assume @p539 (forall @t502 (= (tptp.c_Nat_Osize__class_Osize @t501 tptp.tc_Lambda_OdB) @t21))) % 0.85/1.16 (assume @p540 (forall @t502 (= (tptp.c_Lambda_OdB_OdB__size @t501) @t21))) % 0.85/1.16 (assume @p541 (forall (@list @t274 @t35) (= @t504 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t504 @t503 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p542 (forall (@list @t274 @t35 @t38) (or (not (= @t504 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t38 @t503 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t504 @t38)))) % 0.85/1.16 (assume @p543 (forall (@list @t274 @t505 @t35) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t274 @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t506) @t275))) % 0.85/1.16 (assume @p544 (forall (@list @t46 @t48 @t33 @t454 @t453 @t289) (or (tptp.c_Type_Otypings @t46 @t508 @t453) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t46 @t33 @t289 tptp.tc_Type_Otype) @t454 @t453)) (not (tptp.c_Type_Otyping @t46 @t48 @t289))))) % 0.85/1.16 (assume @p545 (forall (@list @t29 @t48 @t33) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t509) @t48) @t33) @t509) @t473))) % 0.85/1.16 (assume @p546 (forall @t347 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t101) @t35) @t47) @t101) @t346 @t345))) % 0.85/1.16 (assume @p547 (forall (@list @t87 @t35) (or @t372 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t458) @t35) @t87) @t35)))) % 0.85/1.16 (assume @p548 (forall (@list @t454) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t21 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t454 tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p549 (forall @t513 (or @t512 @t510))) % 0.85/1.16 (assume @p550 (forall @t515 (= @t511 @t514))) % 0.85/1.16 (assume @p551 (forall @t517 (or @t516 @t510))) % 0.85/1.16 (assume @p552 (forall @t515 (= @t514 @t511))) % 0.85/1.16 (assume @p553 (forall (@list @t289 @t291 @t46 @t33 @t454) (or (= @t289 @t291) (not (tptp.c_Type_Otyping @t46 @t518 @t291)) (not (tptp.c_Type_Otyping @t46 @t518 @t289))))) % 0.85/1.16 (assume @p554 (forall @t170 (= @t519 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t519 @t503 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p555 (forall @t521 (or @t520 @t510))) % 0.85/1.16 (assume @p556 (forall @t442 (tptp.c_Lambda_Obeta @t522 (tptp.hAPP @t451 @t21)))) % 0.85/1.16 (assume @p557 (forall (@list @t18 @t523) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t524 @t523 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t523 tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p558 (forall (@list @t38 @t454 @t33) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t525) @t33) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t40 @t455 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p559 (forall @t440 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t439) @t35) @t47) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t42 @t47)) (tptp.hAPP (tptp.hAPP @t250 @t35) @t47))))) % 0.85/1.16 (assume @p560 (forall (@list @t526 @t405) (not (= @t527 @t501)))) % 0.85/1.16 (assume @p561 (forall (@list @t460 @t459 @t526) (not (= @t461 @t527)))) % 0.85/1.16 (assume @p562 (forall @t530 (or (not (= @t501 (tptp.c_Lambda_OdB_OVar @t528))) @t529))) % 0.85/1.16 (assume @p563 (forall (@list @t526 @t460 @t459) (not (= @t527 @t461)))) % 0.85/1.16 (assume @p564 (forall @t533 (or @t532 @t72))) % 0.85/1.16 (assume @p565 (forall @t533 (or @t532 @t534))) % 0.85/1.16 (assume @p566 (forall (@list @t47 @t48) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t47)) @t48) @t47) @t48))) % 0.85/1.16 (assume @p567 (forall @t181 (not (= @t18 @t149)))) % 0.85/1.16 (assume @p568 (forall @t181 (not (= @t149 @t18)))) % 0.85/1.16 (assume @p569 (forall @t170 (not (= @t59 @t21)))) % 0.85/1.16 (assume @p570 (forall @t536 (not (= @t535 @t21)))) % 0.85/1.16 (assume @p571 (forall @t517 (or @t516 (= @t35 @t511)))) % 0.85/1.16 (assume @p572 (forall @t539 (or @t538 @t537))) % 0.85/1.16 (assume @p573 (forall @t539 (or @t538 @t534))) % 0.85/1.16 (assume @p574 (forall @t544 (or @t543 (= @t460 @t540)))) % 0.85/1.16 (assume @p575 (forall @t544 (or @t543 (= @t459 @t541)))) % 0.85/1.16 (assume @p576 (forall @t521 (or @t520 (= @t519 @t35)))) % 0.85/1.16 (assume @p577 (forall (@list @t405 @t540 @t541) (not (= @t501 @t542)))) % 0.85/1.16 (assume @p578 (forall (@list @t463 @t526) (or (not (= @t464 @t527)) (= @t463 @t526)))) % 0.85/1.16 (assume @p579 (forall (@list @t18 @t454 @t274 @t505) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t524 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t511 @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p580 (forall @t513 (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 @t511) @t35) @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t35))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t452 @t35) @t21) @t505 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.85/1.16 (assume @p581 (forall (@list @t405 @t526) (not (= @t501 @t527)))) % 0.85/1.16 (assume @p582 (forall @t530 (or (not (= (tptp.c_Suc @t405) @t535)) @t529))) % 0.85/1.16 (assume @p583 (forall @t378 (or (not (= @t427 (tptp.c_Suc @t86))) @t375))) % 0.85/1.16 (assume @p584 (forall (@list @t38 @t454 @t48 @t33) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t525) @t48) @t33) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t249 @t508 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p585 (forall @t170 (not (= @t21 @t59)))) % 0.85/1.16 (assume @p586 (forall @t536 (not (= @t21 @t535)))) % 0.85/1.16 (assume @p587 (forall (@list @t306 @t545 @t443 @t547 @t1 @t546) (= (tptp.hAPP (tptp.c_COMBC @t306 @t545 @t443 @t547 @t1) @t546) (tptp.hAPP (tptp.hAPP @t306 @t546) @t545)))) % 0.85/1.16 (assume @p588 (forall @t513 (or @t512 (= @t511 @t35)))) % 0.85/1.16 (assume @p589 (forall (@list @t274 @t454 @t35) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t274 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t35 @t454 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t537))) % 0.85/1.16 (assume @p590 (forall @t515 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t511)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t274)))))) % 0.85/1.16 (assume @p591 (forall (@list @t35 @t38 @t18 @t505) (not (= @t522 @t531)))) % 0.85/1.16 (assume @p592 (forall (@list @t540 @t541 @t405) (not (= @t542 @t501)))) % 0.85/1.16 (assume @p593 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t548 tptp.v_s) @t21) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p594 (forall @t480 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t548 (tptp.c_Lambda_OdB_OVar @t426)) @t251)) @t550) @t21) (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t101 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t507) @t29 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p595 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_s))) % 0.85/1.16 (assume @p596 (forall @t480 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t550)))) % 0.85/1.16 (assume @p597 (not @t555)) % 0.85/1.16 (assume @p598 (forall @t559 (or (tptp.class_Orderings_Opreorder @t558) (not (tptp.class_Orderings_Opreorder @t556))))) % 0.85/1.16 (assume @p599 (forall @t559 (or (tptp.class_Orderings_Oorder @t558) (not (tptp.class_Orderings_Oorder @t556))))) % 0.85/1.16 (assume @p600 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p601 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.85/1.16 (assume @p602 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.85/1.16 (assume @p603 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.85/1.16 (assume @p604 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.85/1.16 (assume @p605 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p606 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p607 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.85/1.16 (assume @p608 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.85/1.16 (assume @p609 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.85/1.16 (assume @p610 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.85/1.16 (assume @p611 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.85/1.16 (assume @p612 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p613 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.85/1.16 (assume @p614 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.85/1.16 (assume @p615 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.85/1.16 (assume @p616 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p617 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.85/1.16 (assume @p618 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.85/1.16 (assume @p619 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.85/1.16 (assume @p620 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.85/1.16 (assume @p621 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.85/1.16 (assume @p622 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.85/1.16 (assume @p623 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.85/1.16 (assume @p624 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.85/1.16 (assume @p625 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 0.85/1.16 (assume @p626 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.85/1.16 (assume @p627 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.85/1.16 (assume @p628 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.85/1.16 (assume @p629 (tptp.class_Power_Opower tptp.tc_nat)) % 0.85/1.16 (assume @p630 (forall (@list @t306 @t545 @t546 @t443 @t1 @t547) (= (tptp.c_COMBB @t306 @t545 @t546 @t443 @t1 @t547) (tptp.hAPP @t306 (tptp.hAPP @t545 @t546))))) % 0.85/1.16 (assume @p631 (forall (@list @t87 @t1) (tptp.c_fequal @t87 @t87 @t1))) % 0.85/1.16 (assume @p632 (forall (@list @t561 @t560 @t1) (or (= @t561 @t560) (not (tptp.c_fequal @t561 @t560 @t1))))) % 0.85/1.16 (step @p633 :rule instantiate :premises (@p580) :args ((@list @t554 @t553 @t552))) % 0.85/1.16 (step @p634 :rule instantiate :premises (@p594) :args (@t562)) % 0.85/1.16 (step @p635 :rule instantiate :premises (@p596) :args (@t562)) % 0.85/1.16 (step @p636 :rule cnf_or_pos :args (@t567)) % 0.85/1.16 (step @p637 :rule reordering :premises (@p636) :args ((or @t555 @t566 @t564 (not @t567)))) % 0.85/1.16 (step @p638 false :rule chain_m_resolution :premises (@p637 @p635 @p634 @p633 @p597) :args (false (@list false false false true) (@list @t565 @t563 @t567 @t555))) % 0.85/1.16 ) % 0.85/1.16 % SZS output end Proof % 0.85/1.16 % cvc5 exiting %------------------------------------------------------------------------------