%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW247+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:35 AM UTC 2026 % Result : Theorem 3.61s 3.88s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW247+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:41:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.43/0.77 %----Proving TF0_NAR, FOF, or CNF % 3.61/3.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.61/3.88 % SZS status Theorem % 3.61/3.88 % SZS output start Proof % 3.61/3.88 ( % 3.61/3.88 (declare-sort $$unsorted 0) % 3.61/3.88 (declare-const tptp.v_x____ $$unsorted) % 3.61/3.88 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_fconj $$unsorted) % 3.61/3.88 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_fFalse $$unsorted) % 3.61/3.88 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Nat_OSuc $$unsorted) % 3.61/3.88 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.tc_Int_Oint $$unsorted) % 3.61/3.88 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.tc_HOL_Obool $$unsorted) % 3.61/3.88 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.t_a $$unsorted) % 3.61/3.88 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.v_y____ $$unsorted) % 3.61/3.88 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_fNot $$unsorted) % 3.61/3.88 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.v_p $$unsorted) % 3.61/3.88 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.v_c____ $$unsorted) % 3.61/3.88 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.tc_Nat_Onat $$unsorted) % 3.61/3.88 (declare-const tptp.c_Int_Onat $$unsorted) % 3.61/3.88 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.v_cs____ $$unsorted) % 3.61/3.88 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 3.61/3.88 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.c_Orderings_Oorder_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.61/3.88 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 3.61/3.88 (define @t1 () (@var "V_g_2" $$unsorted)) % 3.61/3.88 (define @t2 () (@var "V_f_2" $$unsorted)) % 3.61/3.88 (define @t3 () (@var "B_x" $$unsorted)) % 3.61/3.88 (define @t4 () (tptp.hAPP @t1 @t3)) % 3.61/3.88 (define @t5 () (tptp.hAPP @t2 @t3)) % 3.61/3.88 (define @t6 () (@list @t3)) % 3.61/3.88 (define @t7 () (tptp.class_Rings_Oidom tptp.t_a)) % 3.61/3.88 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero tptp.t_a)) % 3.61/3.88 (define @t9 () (@var "B_z" $$unsorted)) % 3.61/3.88 (define @t10 () (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_cs____)) % 3.61/3.88 (define @t11 () (tptp.hAPP @t10 @t9)) % 3.61/3.88 (define @t12 () (= @t9 @t8)) % 3.61/3.88 (define @t13 () (not @t12)) % 3.61/3.88 (define @t14 () (=> @t13 (= @t11 @t8))) % 3.61/3.88 (define @t15 () (@list @t9)) % 3.61/3.88 (define @t16 () (forall @t15 @t14)) % 3.61/3.88 (define @t17 () (=> @t7 @t16)) % 3.61/3.88 (define @t18 () (tptp.c_Polynomial_OpCons tptp.t_a)) % 3.61/3.88 (define @t19 () (tptp.c_Polynomial_Opoly tptp.t_a (tptp.hAPP (tptp.hAPP @t18 tptp.v_c____) tptp.v_cs____))) % 3.61/3.88 (define @t20 () (@var "V_q_2" $$unsorted)) % 3.61/3.88 (define @t21 () (@var "V_pa_2" $$unsorted)) % 3.61/3.88 (define @t22 () (= @t21 @t20)) % 3.61/3.88 (define @t23 () (@var "T_b" $$unsorted)) % 3.61/3.88 (define @t24 () (tptp.c_Polynomial_Opoly @t23 @t21)) % 3.61/3.88 (define @t25 () (tptp.class_Rings_Oidom @t23)) % 3.61/3.88 (define @t26 () (tptp.class_Int_Oring__char__0 @t23)) % 3.61/3.88 (define @t27 () (and @t26 @t25)) % 3.61/3.88 (define @t28 () (@list @t20 @t21 @t23)) % 3.61/3.88 (define @t29 () (@var "V_b_2" $$unsorted)) % 3.61/3.88 (define @t30 () (@var "V_a_2" $$unsorted)) % 3.61/3.88 (define @t31 () (= @t30 @t29)) % 3.61/3.88 (define @t32 () (tptp.c_Polynomial_OpCons @t23)) % 3.61/3.88 (define @t33 () (tptp.hAPP (tptp.hAPP @t32 @t30) @t21)) % 3.61/3.88 (define @t34 () (tptp.class_Groups_Ozero @t23)) % 3.61/3.88 (define @t35 () (@var "V_c" $$unsorted)) % 3.61/3.88 (define @t36 () (@var "V_p" $$unsorted)) % 3.61/3.88 (define @t37 () (@var "T_a" $$unsorted)) % 3.61/3.88 (define @t38 () (tptp.c_Polynomial_Osynthetic__div @t37 @t36 @t35)) % 3.61/3.88 (define @t39 () (tptp.c_Polynomial_Opoly @t37 @t36)) % 3.61/3.88 (define @t40 () (tptp.hAPP @t39 @t35)) % 3.61/3.88 (define @t41 () (tptp.c_Polynomial_OpCons @t37)) % 3.61/3.88 (define @t42 () (tptp.hAPP @t41 @t40)) % 3.61/3.88 (define @t43 () (tptp.hAPP @t42 @t38)) % 3.61/3.88 (define @t44 () (@var "V_a" $$unsorted)) % 3.61/3.88 (define @t45 () (tptp.hAPP @t41 @t44)) % 3.61/3.88 (define @t46 () (tptp.hAPP @t45 @t36)) % 3.61/3.88 (define @t47 () (tptp.class_Rings_Ocomm__semiring__0 @t37)) % 3.61/3.88 (define @t48 () (@var "V_x" $$unsorted)) % 3.61/3.88 (define @t49 () (@var "V_q" $$unsorted)) % 3.61/3.88 (define @t50 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t49) @t48)) % 3.61/3.88 (define @t51 () (tptp.c_Polynomial_Opcompose @t37 @t36 @t49)) % 3.61/3.88 (define @t52 () (@list @t48 @t49 @t36 @t37)) % 3.61/3.88 (define @t53 () (@var "B_y" $$unsorted)) % 3.61/3.88 (define @t54 () (tptp.hAPP @t2 @t53)) % 3.61/3.88 (define @t55 () (@list @t3 @t53)) % 3.61/3.88 (define @t56 () (@var "T_c" $$unsorted)) % 3.61/3.88 (define @t57 () (@var "B_q" $$unsorted)) % 3.61/3.88 (define @t58 () (@var "B_a" $$unsorted)) % 3.61/3.88 (define @t59 () (tptp.class_Groups_Ozero @t37)) % 3.61/3.88 (define @t60 () (@list @t36 @t37)) % 3.61/3.88 (define @t61 () (tptp.tc_Polynomial_Opoly @t37)) % 3.61/3.88 (define @t62 () (tptp.c_Groups_Ozero__class_Ozero @t61)) % 3.61/3.88 (define @t63 () (tptp.hAPP @t45 @t62)) % 3.61/3.88 (define @t64 () (@var "V_h" $$unsorted)) % 3.61/3.88 (define @t65 () (tptp.hAPP @t39 @t48)) % 3.61/3.88 (define @t66 () (tptp.c_Groups_Otimes__class_Otimes @t37)) % 3.61/3.88 (define @t67 () (tptp.hAPP @t66 @t48)) % 3.61/3.88 (define @t68 () (tptp.c_Groups_Oplus__class_Oplus @t37)) % 3.61/3.88 (define @t69 () (tptp.hAPP @t68 @t44)) % 3.61/3.88 (define @t70 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t46) @t48) (tptp.hAPP @t69 (tptp.hAPP @t67 @t65)))) % 3.61/3.88 (define @t71 () (@list @t48 @t36 @t44 @t37)) % 3.61/3.88 (define @t72 () (forall @t71 (=> @t47 @t70))) % 3.61/3.88 (define @t73 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t37 @t36 @t64)) % 3.61/3.88 (define @t74 () (tptp.tc_Polynomial_Opoly @t23)) % 3.61/3.88 (define @t75 () (tptp.c_Groups_Ozero__class_Ozero @t74)) % 3.61/3.88 (define @t76 () (= @t21 @t75)) % 3.61/3.88 (define @t77 () (@list @t21 @t23)) % 3.61/3.88 (define @t78 () (tptp.c_Polynomial_Osmult @t37)) % 3.61/3.88 (define @t79 () (tptp.hAPP @t78 @t35)) % 3.61/3.88 (define @t80 () (tptp.c_Groups_Oplus__class_Oplus @t61)) % 3.61/3.88 (define @t81 () (tptp.hAPP @t80 @t36)) % 3.61/3.88 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t37)) % 3.61/3.88 (define @t83 () (tptp.hAPP @t41 @t82)) % 3.61/3.88 (define @t84 () (@list @t37)) % 3.61/3.88 (define @t85 () (@list @t48 @t37)) % 3.61/3.88 (define @t86 () (@list @t49 @t37)) % 3.61/3.88 (define @t87 () (tptp.c_Groups_Otimes__class_Otimes @t61)) % 3.61/3.88 (define @t88 () (tptp.class_Groups_Ocomm__monoid__add @t37)) % 3.61/3.88 (define @t89 () (tptp.hAPP @t78 @t44)) % 3.61/3.88 (define @t90 () (@list @t44 @t37)) % 3.61/3.88 (define @t91 () (tptp.hAPP @t87 @t36)) % 3.61/3.88 (define @t92 () (tptp.hAPP @t91 @t49)) % 3.61/3.88 (define @t93 () (tptp.hAPP @t89 @t92)) % 3.61/3.88 (define @t94 () (tptp.hAPP @t89 @t49)) % 3.61/3.88 (define @t95 () (@list @t49 @t44 @t36 @t37)) % 3.61/3.88 (define @t96 () (@var "V_b" $$unsorted)) % 3.61/3.88 (define @t97 () (tptp.hAPP @t66 @t44)) % 3.61/3.88 (define @t98 () (tptp.hAPP @t97 @t96)) % 3.61/3.88 (define @t99 () (tptp.hAPP (tptp.hAPP @t78 @t96) @t36)) % 3.61/3.88 (define @t100 () (@list @t36 @t96 @t44 @t37)) % 3.61/3.88 (define @t101 () (tptp.hAPP @t83 @t92)) % 3.61/3.88 (define @t102 () (tptp.hAPP @t89 @t36)) % 3.61/3.88 (define @t103 () (tptp.hAPP @t80 @t102)) % 3.61/3.88 (define @t104 () (tptp.hAPP @t41 @t96)) % 3.61/3.88 (define @t105 () (tptp.hAPP @t81 @t49)) % 3.61/3.88 (define @t106 () (@list @t49 @t36 @t44 @t37)) % 3.61/3.88 (define @t107 () (@var "V_h_2" $$unsorted)) % 3.61/3.88 (define @t108 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t23 @t21 @t107)) % 3.61/3.88 (define @t109 () (tptp.class_Rings_Ocomm__semiring__0 @t23)) % 3.61/3.88 (define @t110 () (@list @t107 @t21 @t23)) % 3.61/3.88 (define @t111 () (tptp.c_Groups_Ozero__class_Ozero @t23)) % 3.61/3.88 (define @t112 () (= @t30 @t111)) % 3.61/3.88 (define @t113 () (@list @t21 @t30 @t23)) % 3.61/3.88 (define @t114 () (tptp.c_Polynomial_Osmult @t23)) % 3.61/3.88 (define @t115 () (tptp.hAPP @t114 @t30)) % 3.61/3.88 (define @t116 () (tptp.hAPP @t115 @t21)) % 3.61/3.88 (define @t117 () (tptp.hAPP @t87 @t49)) % 3.61/3.88 (define @t118 () (tptp.hAPP @t69 @t96)) % 3.61/3.88 (define @t119 () (@var "V_r" $$unsorted)) % 3.61/3.88 (define @t120 () (tptp.hAPP @t104 @t49)) % 3.61/3.88 (define @t121 () (@list @t49 @t96 @t36 @t44 @t37)) % 3.61/3.88 (define @t122 () (= @t36 @t62)) % 3.61/3.88 (define @t123 () (tptp.hAPP @t79 @t36)) % 3.61/3.88 (define @t124 () (@list @t44 @t36 @t35 @t37)) % 3.61/3.88 (define @t125 () (tptp.c_Groups_Oplus__class_Oplus @t74)) % 3.61/3.88 (define @t126 () (tptp.tc_fun @t74 @t74)) % 3.61/3.88 (define @t127 () (tptp.hAPP (tptp.c_COMBB @t126 (tptp.tc_fun @t74 @t126) @t23) (tptp.c_COMBK @t126 @t74))) % 3.61/3.88 (define @t128 () (@var "V_ya_2" $$unsorted)) % 3.61/3.88 (define @t129 () (= @t128 @t111)) % 3.61/3.88 (define @t130 () (@var "V_xa_2" $$unsorted)) % 3.61/3.88 (define @t131 () (= @t130 @t111)) % 3.61/3.88 (define @t132 () (and @t131 @t129)) % 3.61/3.88 (define @t133 () (tptp.c_Groups_Otimes__class_Otimes @t23)) % 3.61/3.88 (define @t134 () (tptp.hAPP @t133 @t130)) % 3.61/3.88 (define @t135 () (tptp.hAPP @t134 @t130)) % 3.61/3.88 (define @t136 () (tptp.c_Groups_Oplus__class_Oplus @t23)) % 3.61/3.88 (define @t137 () (tptp.hAPP (tptp.hAPP @t136 @t135) (tptp.hAPP (tptp.hAPP @t133 @t128) @t128))) % 3.61/3.88 (define @t138 () (tptp.class_Rings_Olinordered__ring__strict @t23)) % 3.61/3.88 (define @t139 () (@list @t128 @t130 @t23)) % 3.61/3.88 (define @t140 () (@var "V_d" $$unsorted)) % 3.61/3.88 (define @t141 () (tptp.hAPP @t66 @t119)) % 3.61/3.88 (define @t142 () (tptp.hAPP @t68 @t96)) % 3.61/3.88 (define @t143 () (= @t44 @t96)) % 3.61/3.88 (define @t144 () (tptp.hAPP (tptp.c_COMBB @t74 @t126 @t23) @t125)) % 3.61/3.88 (define @t145 () (tptp.hAPP (tptp.c_COMBB @t126 (tptp.tc_fun @t126 @t126) @t23) (tptp.c_COMBB @t74 @t74 @t74))) % 3.61/3.88 (define @t146 () (tptp.c_Groups_Otimes__class_Otimes @t74)) % 3.61/3.88 (define @t147 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 3.61/3.88 (define @t148 () (tptp.c_Polynomial_Oorder @t23 @t30 @t21)) % 3.61/3.88 (define @t149 () (@var "V_b_H" $$unsorted)) % 3.61/3.88 (define @t150 () (tptp.hAPP @t97 @t149)) % 3.61/3.88 (define @t151 () (tptp.hAPP @t68 @t98)) % 3.61/3.88 (define @t152 () (tptp.class_RealVector_Oreal__normed__algebra @t37)) % 3.61/3.89 (define @t153 () (@list @t149 @t96 @t44 @t37)) % 3.61/3.89 (define @t154 () (@var "V_z" $$unsorted)) % 3.61/3.89 (define @t155 () (@var "V_y" $$unsorted)) % 3.61/3.89 (define @t156 () (tptp.hAPP @t67 @t155)) % 3.61/3.89 (define @t157 () (tptp.class_Rings_Ocomm__semiring__1 @t37)) % 3.61/3.89 (define @t158 () (@list @t154 @t155 @t48 @t37)) % 3.61/3.89 (define @t159 () (@var "V_xa" $$unsorted)) % 3.61/3.89 (define @t160 () (tptp.hAPP @t66 @t159)) % 3.61/3.89 (define @t161 () (tptp.hAPP @t160 @t155)) % 3.61/3.89 (define @t162 () (tptp.hAPP @t160 @t48)) % 3.61/3.89 (define @t163 () (tptp.hAPP @t68 @t48)) % 3.61/3.89 (define @t164 () (tptp.hAPP @t163 @t155)) % 3.61/3.89 (define @t165 () (@list @t155 @t48 @t159 @t37)) % 3.61/3.89 (define @t166 () (@var "V_ca_2" $$unsorted)) % 3.61/3.89 (define @t167 () (tptp.hAPP @t133 @t29)) % 3.61/3.89 (define @t168 () (tptp.hAPP @t167 @t166)) % 3.61/3.89 (define @t169 () (@var "V_d_2" $$unsorted)) % 3.61/3.89 (define @t170 () (tptp.hAPP @t133 @t30)) % 3.61/3.89 (define @t171 () (tptp.hAPP @t170 @t166)) % 3.61/3.89 (define @t172 () (= @t166 @t169)) % 3.61/3.89 (define @t173 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t23)) % 3.61/3.89 (define @t174 () (@list @t169 @t166 @t29 @t30 @t23)) % 3.61/3.89 (define @t175 () (tptp.hAPP @t66 @t96)) % 3.61/3.89 (define @t176 () (tptp.hAPP @t175 @t35)) % 3.61/3.89 (define @t177 () (tptp.hAPP @t97 @t35)) % 3.61/3.89 (define @t178 () (tptp.hAPP @t66 @t118)) % 3.61/3.89 (define @t179 () (= (tptp.hAPP @t178 @t35) (tptp.hAPP (tptp.hAPP @t68 @t177) @t176))) % 3.61/3.89 (define @t180 () (@list @t35 @t96 @t44 @t37)) % 3.61/3.89 (define @t181 () (@var "V_ry" $$unsorted)) % 3.61/3.89 (define @t182 () (@var "V_ly" $$unsorted)) % 3.61/3.89 (define @t183 () (tptp.hAPP @t66 @t182)) % 3.61/3.89 (define @t184 () (@var "V_rx" $$unsorted)) % 3.61/3.89 (define @t185 () (@var "V_lx" $$unsorted)) % 3.61/3.89 (define @t186 () (tptp.hAPP @t66 @t185)) % 3.61/3.89 (define @t187 () (tptp.hAPP @t66 (tptp.hAPP @t186 @t184))) % 3.61/3.89 (define @t188 () (tptp.hAPP @t66 @t184)) % 3.61/3.89 (define @t189 () (tptp.hAPP @t188 @t181)) % 3.61/3.89 (define @t190 () (tptp.hAPP @t66 (tptp.hAPP @t186 @t182))) % 3.61/3.89 (define @t191 () (tptp.hAPP @t190 @t189)) % 3.61/3.89 (define @t192 () (@list @t181 @t184 @t182 @t185 @t37)) % 3.61/3.89 (define @t193 () (tptp.hAPP @t190 @t184)) % 3.61/3.89 (define @t194 () (@list @t184 @t182 @t185 @t37)) % 3.61/3.89 (define @t195 () (tptp.hAPP @t186 @t189)) % 3.61/3.89 (define @t196 () (@list @t181 @t184 @t185 @t37)) % 3.61/3.89 (define @t197 () (tptp.hAPP @t175 @t44)) % 3.61/3.89 (define @t198 () (@list @t96 @t44 @t37)) % 3.61/3.89 (define @t199 () (tptp.hAPP @t142 @t140)) % 3.61/3.89 (define @t200 () (tptp.hAPP @t69 @t35)) % 3.61/3.89 (define @t201 () (tptp.hAPP @t68 @t200)) % 3.61/3.89 (define @t202 () (tptp.hAPP @t68 @t35)) % 3.61/3.89 (define @t203 () (tptp.hAPP @t202 @t140)) % 3.61/3.89 (define @t204 () (tptp.hAPP @t68 @t118)) % 3.61/3.89 (define @t205 () (@list @t140 @t35 @t96 @t44 @t37)) % 3.61/3.89 (define @t206 () (tptp.hAPP @t204 @t35)) % 3.61/3.89 (define @t207 () (tptp.hAPP @t142 @t35)) % 3.61/3.89 (define @t208 () (= @t206 (tptp.hAPP @t69 @t207))) % 3.61/3.89 (define @t209 () (tptp.hAPP @t69 @t203)) % 3.61/3.89 (define @t210 () (@list @t140 @t35 @t44 @t37)) % 3.61/3.89 (define @t211 () (tptp.hAPP @t202 @t44)) % 3.61/3.89 (define @t212 () (@var "V_z_2" $$unsorted)) % 3.61/3.89 (define @t213 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t56))) % 3.61/3.89 (define @t214 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t56)) @t213) @t212) @t212)) % 3.61/3.89 (define @t215 () (tptp.class_Groups_Ozero @t56)) % 3.61/3.89 (define @t216 () (tptp.c_Polynomial_Opoly__rec @t23 @t56 @t212 @t2 @t21)) % 3.61/3.89 (define @t217 () (tptp.c_If @t23)) % 3.61/3.89 (define @t218 () (tptp.hAPP (tptp.hAPP @t2 @t30) @t21)) % 3.61/3.89 (define @t219 () (tptp.c_Polynomial_Opoly__rec @t23 @t56 @t212 @t2 (tptp.hAPP (tptp.hAPP (tptp.c_Polynomial_OpCons @t56) @t30) @t21))) % 3.61/3.89 (define @t220 () (= @t96 @t82)) % 3.61/3.89 (define @t221 () (= @t44 @t82)) % 3.61/3.89 (define @t222 () (= @t98 @t82)) % 3.61/3.89 (define @t223 () (tptp.class_Rings_Ono__zero__divisors @t37)) % 3.61/3.89 (define @t224 () (not @t221)) % 3.61/3.89 (define @t225 () (or @t112 (= @t29 @t111))) % 3.61/3.89 (define @t226 () (tptp.hAPP @t170 @t29)) % 3.61/3.89 (define @t227 () (= (= @t226 @t111) @t225)) % 3.61/3.89 (define @t228 () (tptp.class_Rings_Oring__no__zero__divisors @t23)) % 3.61/3.89 (define @t229 () (=> @t228 @t227)) % 3.61/3.89 (define @t230 () (@list @t29 @t30 @t23)) % 3.61/3.89 (define @t231 () (forall @t230 @t229)) % 3.61/3.89 (define @t232 () (= (tptp.hAPP @t97 @t82) @t82)) % 3.61/3.89 (define @t233 () (tptp.class_Rings_Omult__zero @t37)) % 3.61/3.89 (define @t234 () (tptp.hAPP @t66 @t82)) % 3.61/3.89 (define @t235 () (= (tptp.hAPP @t234 @t44) @t82)) % 3.61/3.89 (define @t236 () (tptp.hAPP @t136 @t29)) % 3.61/3.89 (define @t237 () (tptp.hAPP @t236 @t30)) % 3.61/3.89 (define @t238 () (= @t29 @t237)) % 3.61/3.89 (define @t239 () (=> @t173 (= @t238 @t112))) % 3.61/3.89 (define @t240 () (@list @t30 @t29 @t23)) % 3.61/3.89 (define @t241 () (forall @t240 @t239)) % 3.61/3.89 (define @t242 () (= (tptp.hAPP @t69 @t82) @t44)) % 3.61/3.89 (define @t243 () (= (tptp.hAPP (tptp.hAPP @t68 @t82) @t44) @t44)) % 3.61/3.89 (define @t244 () (@var "V_w_2" $$unsorted)) % 3.61/3.89 (define @t245 () (tptp.hAPP @t133 @t244)) % 3.61/3.89 (define @t246 () (@var "V_e" $$unsorted)) % 3.61/3.89 (define @t247 () (@var "V_m" $$unsorted)) % 3.61/3.89 (define @t248 () (tptp.hAPP @t97 @t247)) % 3.61/3.89 (define @t249 () (tptp.hAPP @t68 @t248)) % 3.61/3.89 (define @t250 () (@var "V_ya" $$unsorted)) % 3.61/3.89 (define @t251 () (tptp.hAPP @t66 @t155)) % 3.61/3.89 (define @t252 () (tptp.hAPP @t251 @t250)) % 3.61/3.89 (define @t253 () (tptp.hAPP @t67 @t250)) % 3.61/3.89 (define @t254 () (@list @t250 @t155 @t48 @t37)) % 3.61/3.89 (define @t255 () (@var "V_a_H" $$unsorted)) % 3.61/3.89 (define @t256 () (tptp.hAPP (tptp.hAPP @t66 @t255) @t96)) % 3.61/3.89 (define @t257 () (@list @t96 @t255 @t44 @t37)) % 3.61/3.89 (define @t258 () (tptp.hAPP @t136 @t30)) % 3.61/3.89 (define @t259 () (tptp.hAPP @t258 @t30)) % 3.61/3.89 (define @t260 () (tptp.class_Groups_Olinordered__ab__group__add @t23)) % 3.61/3.89 (define @t261 () (@list @t30 @t23)) % 3.61/3.89 (define @t262 () (tptp.class_Groups_Omonoid__add @t37)) % 3.61/3.89 (define @t263 () (@list @t23)) % 3.61/3.89 (define @t264 () (tptp.c_Groups_Oone__class_Oone @t37)) % 3.61/3.89 (define @t265 () (tptp.hAPP (tptp.hAPP @t41 @t264) @t62)) % 3.61/3.89 (define @t266 () (tptp.c_Groups_Ouminus__class_Ouminus @t37)) % 3.61/3.89 (define @t267 () (tptp.class_Rings_Ocomm__ring__1 @t37)) % 3.61/3.89 (define @t268 () (tptp.hAPP @t266 @t264)) % 3.61/3.89 (define @t269 () (tptp.hAPP @t266 @t48)) % 3.61/3.89 (define @t270 () (tptp.c_Groups_Oone__class_Oone @t23)) % 3.61/3.89 (define @t271 () (tptp.c_Groups_Ouminus__class_Ouminus @t23)) % 3.61/3.89 (define @t272 () (= @t130 @t270)) % 3.61/3.89 (define @t273 () (@list @t130 @t23)) % 3.61/3.89 (define @t274 () (tptp.hAPP @t266 @t44)) % 3.61/3.89 (define @t275 () (tptp.class_Groups_Ogroup__add @t37)) % 3.61/3.89 (define @t276 () (tptp.hAPP @t271 @t30)) % 3.61/3.89 (define @t277 () (tptp.hAPP @t271 @t29)) % 3.61/3.89 (define @t278 () (= @t30 @t277)) % 3.61/3.89 (define @t279 () (tptp.class_Groups_Ogroup__add @t23)) % 3.61/3.89 (define @t280 () (@var "V_n_2" $$unsorted)) % 3.61/3.89 (define @t281 () (tptp.c_Polynomial_Omonom @t23 @t30 @t280)) % 3.61/3.89 (define @t282 () (@var "V_n" $$unsorted)) % 3.61/3.89 (define @t283 () (tptp.c_Polynomial_Omonom @t37 @t44 @t282)) % 3.61/3.89 (define @t284 () (tptp.c_Groups_Ouminus__class_Ouminus @t61)) % 3.61/3.89 (define @t285 () (tptp.class_Groups_Oab__group__add @t37)) % 3.61/3.89 (define @t286 () (@list @t282 @t44 @t37)) % 3.61/3.89 (define @t287 () (tptp.hAPP @t284 @t36)) % 3.61/3.89 (define @t288 () (tptp.hAPP @t41 @t274)) % 3.61/3.89 (define @t289 () (@list @t36 @t44 @t37)) % 3.61/3.89 (define @t290 () (tptp.c_Groups_Ouminus__class_Ouminus @t74)) % 3.61/3.89 (define @t291 () (tptp.class_Groups_Oab__group__add @t23)) % 3.61/3.89 (define @t292 () (tptp.hAPP @t284 @t102)) % 3.61/3.89 (define @t293 () (tptp.class_Rings_Ocomm__ring @t37)) % 3.61/3.89 (define @t294 () (tptp.hAPP @t266 @t96)) % 3.61/3.89 (define @t295 () (tptp.hAPP @t68 @t274)) % 3.61/3.89 (define @t296 () (tptp.hAPP @t266 @t118)) % 3.61/3.89 (define @t297 () (= (tptp.hAPP (tptp.hAPP @t66 @t264) @t44) @t44)) % 3.61/3.89 (define @t298 () (tptp.class_Groups_Omonoid__mult @t37)) % 3.61/3.89 (define @t299 () (tptp.class_Groups_Ocomm__monoid__mult @t37)) % 3.61/3.89 (define @t300 () (= (tptp.hAPP @t97 @t264) @t44)) % 3.61/3.89 (define @t301 () (tptp.c_Groups_Oone__class_Oone @t61)) % 3.61/3.89 (define @t302 () (@var "V_m_2" $$unsorted)) % 3.61/3.89 (define @t303 () (tptp.tc_fun @t23 @t23)) % 3.61/3.89 (define @t304 () (tptp.hAPP @t97 @t294)) % 3.61/3.89 (define @t305 () (tptp.hAPP @t266 @t98)) % 3.61/3.89 (define @t306 () (tptp.class_Rings_Oring @t37)) % 3.61/3.89 (define @t307 () (tptp.hAPP @t66 @t274)) % 3.61/3.89 (define @t308 () (tptp.hAPP @t307 @t96)) % 3.61/3.89 (define @t309 () (@list @t155 @t48 @t37)) % 3.61/3.89 (define @t310 () (tptp.class_Rings_Ozero__neq__one @t37)) % 3.61/3.89 (define @t311 () (tptp.hAPP @t258 @t29)) % 3.61/3.89 (define @t312 () (= (tptp.hAPP @t295 @t44) @t82)) % 3.61/3.89 (define @t313 () (tptp.hAPP @t68 @t264)) % 3.61/3.89 (define @t314 () (tptp.hAPP @t313 @t264)) % 3.61/3.89 (define @t315 () (tptp.hAPP @t68 @t247)) % 3.61/3.89 (define @t316 () (@list @t247 @t37)) % 3.61/3.89 (define @t317 () (tptp.hAPP @t69 @t264)) % 3.61/3.89 (define @t318 () (tptp.hAPP (tptp.hAPP @t66 @t317) @t247)) % 3.61/3.89 (define @t319 () (@list @t282 @t37)) % 3.61/3.89 (define @t320 () (@list @t280 @t30 @t23)) % 3.61/3.89 (define @t321 () (tptp.c_Polynomial_Omonom @t37 @t96 @t282)) % 3.61/3.89 (define @t322 () (@list @t282 @t96 @t44 @t37)) % 3.61/3.89 (define @t323 () (@list @t96 @t282 @t44 @t37)) % 3.61/3.89 (define @t324 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t325 () (tptp.hAPP @t324 @t247)) % 3.61/3.89 (define @t326 () (tptp.hAPP @t325 @t282)) % 3.61/3.89 (define @t327 () (tptp.c_Polynomial_Omonom @t37 @t44 @t247)) % 3.61/3.89 (define @t328 () (= @t29 @t166)) % 3.61/3.89 (define @t329 () (tptp.hAPP @t258 @t166)) % 3.61/3.89 (define @t330 () (tptp.class_Groups_Ocancel__semigroup__add @t23)) % 3.61/3.89 (define @t331 () (tptp.hAPP @t136 @t166)) % 3.61/3.89 (define @t332 () (tptp.hAPP @t331 @t30)) % 3.61/3.89 (define @t333 () (= @t96 @t35)) % 3.61/3.89 (define @t334 () (=> (= @t118 @t200) @t333)) % 3.61/3.89 (define @t335 () (tptp.class_Groups_Ocancel__semigroup__add @t37)) % 3.61/3.89 (define @t336 () (@list @t35 @t44 @t96 @t37)) % 3.61/3.89 (define @t337 () (tptp.hAPP @t271 @t130)) % 3.61/3.89 (define @t338 () (= (tptp.hAPP (tptp.hAPP @t136 @t130) @t128) @t111)) % 3.61/3.89 (define @t339 () (tptp.hAPP (tptp.hAPP @t32 @t270) @t75)) % 3.61/3.89 (define @t340 () (tptp.hAPP @t271 @t166)) % 3.61/3.89 (define @t341 () (tptp.c_Rings_Odvd__class_Odvd @t74)) % 3.61/3.89 (define @t342 () (tptp.c_Power_Opower__class_Opower @t37)) % 3.61/3.89 (define @t343 () (tptp.hAPP @t342 @t48)) % 3.61/3.89 (define @t344 () (tptp.hAPP @t343 @t282)) % 3.61/3.89 (define @t345 () (@var "V_A_2" $$unsorted)) % 3.61/3.89 (define @t346 () (tptp.hAPP @t345 @t130)) % 3.61/3.89 (define @t347 () (tptp.tc_fun @t56 @t23)) % 3.61/3.89 (define @t348 () (@var "B_k" $$unsorted)) % 3.61/3.89 (define @t349 () (tptp.c_Groups_Otimes__class_Otimes tptp.t_a)) % 3.61/3.89 (define @t350 () (tptp.c_Groups_Oplus__class_Oplus tptp.t_a)) % 3.61/3.89 (define @t351 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t352 () (@var "V_v" $$unsorted)) % 3.61/3.89 (define @t353 () (@var "V_u" $$unsorted)) % 3.61/3.89 (define @t354 () (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t66 @t353) @t48)) (tptp.hAPP (tptp.hAPP @t66 @t352) @t155))) % 3.61/3.89 (define @t355 () (= (tptp.hAPP (tptp.hAPP @t68 @t353) @t352) @t264)) % 3.61/3.89 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t82)) % 3.61/3.89 (define @t357 () (tptp.hBOOL (tptp.hAPP @t356 @t352))) % 3.61/3.89 (define @t358 () (tptp.hBOOL (tptp.hAPP @t356 @t353))) % 3.61/3.89 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t155)) % 3.61/3.89 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t48)) % 3.61/3.89 (define @t361 () (@list @t352 @t353 @t155 @t44 @t48 @t37)) % 3.61/3.89 (define @t362 () (tptp.c_Polynomial_Ocoeff @t23 @t20)) % 3.61/3.89 (define @t363 () (tptp.c_Polynomial_Ocoeff @t23 @t21)) % 3.61/3.89 (define @t364 () (tptp.c_COMBB @t23 @t303 tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t365 () (tptp.c_COMBS tptp.tc_Nat_Onat @t23 @t23)) % 3.61/3.89 (define @t366 () (tptp.c_COMBB @t23 @t23 tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t367 () (tptp.c_Rings_Odvd__class_Odvd @t37)) % 3.61/3.89 (define @t368 () (tptp.hAPP @t367 @t44)) % 3.61/3.89 (define @t369 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 3.61/3.89 (define @t370 () (tptp.hAPP @t369 @t48)) % 3.61/3.89 (define @t371 () (tptp.hAPP @t370 @t155)) % 3.61/3.89 (define @t372 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 3.61/3.89 (define @t373 () (tptp.hAPP @t324 @t155)) % 3.61/3.89 (define @t374 () (tptp.hAPP @t373 @t154)) % 3.61/3.89 (define @t375 () (@list @t154 @t155 @t48)) % 3.61/3.89 (define @t376 () (tptp.c_Power_Opower__class_Opower @t61)) % 3.61/3.89 (define @t377 () (@var "B_n" $$unsorted)) % 3.61/3.89 (define @t378 () (@list @t377)) % 3.61/3.89 (define @t379 () (= @t130 @t128)) % 3.61/3.89 (define @t380 () (tptp.c_Polynomial_Ocoeff @t23 @t130)) % 3.61/3.89 (define @t381 () (tptp.hBOOL (tptp.hAPP @t368 @t35))) % 3.61/3.89 (define @t382 () (tptp.hAPP @t367 @t96)) % 3.61/3.89 (define @t383 () (tptp.hBOOL (tptp.hAPP @t382 @t35))) % 3.61/3.89 (define @t384 () (tptp.hBOOL (tptp.hAPP @t368 @t96))) % 3.61/3.89 (define @t385 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t386 () (tptp.hAPP @t385 @t36)) % 3.61/3.89 (define @t387 () (tptp.hAPP @t343 @t36)) % 3.61/3.89 (define @t388 () (@list @t49 @t36 @t48 @t37)) % 3.61/3.89 (define @t389 () (tptp.hAPP @t266 @t155)) % 3.61/3.89 (define @t390 () (tptp.hBOOL (tptp.hAPP @t360 @t155))) % 3.61/3.89 (define @t391 () (tptp.class_Lattices_Oboolean__algebra @t37)) % 3.61/3.89 (define @t392 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t128) @t130))) % 3.61/3.89 (define @t393 () (tptp.hAPP @t271 @t128)) % 3.61/3.89 (define @t394 () (tptp.class_Lattices_Oboolean__algebra @t23)) % 3.61/3.89 (define @t395 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t98) @t35))) % 3.61/3.89 (define @t396 () (@var "V_k" $$unsorted)) % 3.61/3.89 (define @t397 () (tptp.hAPP @t175 @t140)) % 3.61/3.89 (define @t398 () (tptp.hBOOL (tptp.hAPP @t368 @t176))) % 3.61/3.89 (define @t399 () (@list @t96 @t35 @t44 @t37)) % 3.61/3.89 (define @t400 () (tptp.c_Rings_Odvd__class_Odvd @t23)) % 3.61/3.89 (define @t401 () (tptp.hAPP @t400 @t130)) % 3.61/3.89 (define @t402 () (tptp.hBOOL (tptp.hAPP @t401 @t128))) % 3.61/3.89 (define @t403 () (tptp.class_Rings_Ocomm__ring__1 @t23)) % 3.61/3.89 (define @t404 () (tptp.hAPP @t343 @t49)) % 3.61/3.89 (define @t405 () (tptp.hAPP @t342 @t155)) % 3.61/3.89 (define @t406 () (tptp.hAPP @t66 @t404)) % 3.61/3.89 (define @t407 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t36) @t282)) % 3.61/3.89 (define @t408 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t44)) % 3.61/3.89 (define @t409 () (tptp.hBOOL (tptp.hAPP @t408 @t96))) % 3.61/3.89 (define @t410 () (tptp.hAPP @t202 @t96)) % 3.61/3.89 (define @t411 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t211) @t410))) % 3.61/3.89 (define @t412 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t37)) % 3.61/3.89 (define @t413 () (@list @t96 @t44 @t35 @t37)) % 3.61/3.89 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t200)) % 3.61/3.89 (define @t415 () (tptp.hBOOL (tptp.hAPP @t414 @t207))) % 3.61/3.89 (define @t416 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t35)) % 3.61/3.89 (define @t417 () (tptp.hBOOL (tptp.hAPP @t416 @t140))) % 3.61/3.89 (define @t418 () (tptp.class_Groups_Oordered__ab__semigroup__add @t37)) % 3.61/3.89 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t30)) % 3.61/3.89 (define @t420 () (tptp.hBOOL (tptp.hAPP @t419 @t29))) % 3.61/3.89 (define @t421 () (tptp.hAPP @t331 @t29)) % 3.61/3.89 (define @t422 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t23)) % 3.61/3.89 (define @t423 () (@list @t29 @t30 @t166 @t23)) % 3.61/3.89 (define @t424 () (tptp.hAPP @t236 @t166)) % 3.61/3.89 (define @t425 () (@list @t29 @t166 @t30 @t23)) % 3.61/3.89 (define @t426 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t277)) % 3.61/3.89 (define @t427 () (tptp.class_Groups_Oordered__ab__group__add @t23)) % 3.61/3.89 (define @t428 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t276)) % 3.61/3.89 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t29)) % 3.61/3.89 (define @t430 () (tptp.c_Rings_Odvd__class_Odvd @t61)) % 3.61/3.89 (define @t431 () (tptp.hAPP @t430 @t36)) % 3.61/3.89 (define @t432 () (tptp.hBOOL (tptp.hAPP @t431 @t49))) % 3.61/3.89 (define @t433 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t430 @t102) @t49))) % 3.61/3.89 (define @t434 () (tptp.hBOOL (tptp.hAPP @t431 @t94))) % 3.61/3.89 (define @t435 () (@list @t44 @t49 @t36 @t37)) % 3.61/3.89 (define @t436 () (or (= @t166 @t111) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t400 @t30) @t29)))) % 3.61/3.89 (define @t437 () (tptp.hAPP @t133 @t166)) % 3.61/3.89 (define @t438 () (tptp.hAPP @t437 @t29)) % 3.61/3.89 (define @t439 () (tptp.hAPP @t437 @t30)) % 3.61/3.89 (define @t440 () (tptp.class_Fields_Ofield @t37)) % 3.61/3.89 (define @t441 () (tptp.hAPP @t341 @t21)) % 3.61/3.89 (define @t442 () (tptp.hBOOL (tptp.hAPP @t441 @t20))) % 3.61/3.89 (define @t443 () (not @t112)) % 3.61/3.89 (define @t444 () (tptp.class_Fields_Ofield @t23)) % 3.61/3.89 (define @t445 () (@list @t20 @t21 @t30 @t23)) % 3.61/3.89 (define @t446 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t98) @t82))) % 3.61/3.89 (define @t447 () (tptp.hBOOL (tptp.hAPP @t356 @t96))) % 3.61/3.89 (define @t448 () (tptp.hBOOL (tptp.hAPP @t408 @t82))) % 3.61/3.89 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t96)) % 3.61/3.89 (define @t450 () (tptp.hBOOL (tptp.hAPP @t449 @t82))) % 3.61/3.89 (define @t451 () (tptp.hBOOL (tptp.hAPP @t356 @t44))) % 3.61/3.89 (define @t452 () (tptp.class_Rings_Oordered__cancel__semiring @t37)) % 3.61/3.89 (define @t453 () (tptp.hBOOL (tptp.hAPP @t356 @t98))) % 3.61/3.89 (define @t454 () (tptp.class_Rings_Oordered__ring @t37)) % 3.61/3.89 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t177)) % 3.61/3.89 (define @t456 () (tptp.hBOOL (tptp.hAPP @t356 @t35))) % 3.61/3.89 (define @t457 () (=> @t456 (tptp.hBOOL (tptp.hAPP @t455 @t397)))) % 3.61/3.89 (define @t458 () (tptp.class_Rings_Oordered__semiring @t37)) % 3.61/3.89 (define @t459 () (tptp.hAPP @t66 @t35)) % 3.61/3.89 (define @t460 () (tptp.hAPP @t459 @t96)) % 3.61/3.89 (define @t461 () (tptp.hAPP @t459 @t44)) % 3.61/3.89 (define @t462 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t461) @t460))) % 3.61/3.89 (define @t463 () (tptp.hBOOL (tptp.hAPP @t416 @t82))) % 3.61/3.89 (define @t464 () (tptp.hBOOL (tptp.hAPP @t449 @t44))) % 3.61/3.89 (define @t465 () (tptp.hBOOL (tptp.hAPP @t455 @t176))) % 3.61/3.89 (define @t466 () (=> @t409 (=> @t456 @t462))) % 3.61/3.89 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t111)) % 3.61/3.89 (define @t468 () (tptp.hBOOL (tptp.hAPP @t467 @t29))) % 3.61/3.89 (define @t469 () (tptp.hBOOL (tptp.hAPP @t419 @t111))) % 3.61/3.89 (define @t470 () (tptp.hBOOL (tptp.hAPP @t429 @t111))) % 3.61/3.89 (define @t471 () (tptp.hBOOL (tptp.hAPP @t467 @t30))) % 3.61/3.89 (define @t472 () (tptp.hAPP @t97 @t44)) % 3.61/3.89 (define @t473 () (tptp.class_Rings_Olinordered__ring @t37)) % 3.61/3.89 (define @t474 () (tptp.class_Groups_Oordered__comm__monoid__add @t37)) % 3.61/3.89 (define @t475 () (tptp.hBOOL (tptp.hAPP @t449 @t200))) % 3.61/3.89 (define @t476 () (tptp.hBOOL (tptp.hAPP @t449 @t35))) % 3.61/3.89 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t264)) % 3.61/3.89 (define @t478 () (tptp.class_Rings_Olinordered__semidom @t37)) % 3.61/3.89 (define @t479 () (tptp.c_Polynomial_Ocoeff @t37 @t46)) % 3.61/3.89 (define @t480 () (@list @t282 @t36 @t44 @t37)) % 3.61/3.89 (define @t481 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t327) @t282)) % 3.61/3.89 (define @t482 () (= @t247 @t282)) % 3.61/3.89 (define @t483 () (not @t482)) % 3.61/3.89 (define @t484 () (@list @t44 @t282 @t247 @t37)) % 3.61/3.89 (define @t485 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t49) @t282)) % 3.61/3.89 (define @t486 () (@list @t282 @t49 @t36 @t37)) % 3.61/3.89 (define @t487 () (tptp.c_Polynomial_Oorder @t37 @t44 @t36)) % 3.61/3.89 (define @t488 () (tptp.hAPP @t376 (tptp.hAPP @t288 @t265))) % 3.61/3.89 (define @t489 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t430 (tptp.hAPP @t488 @t487)) @t36))) % 3.61/3.89 (define @t490 () (tptp.class_Rings_Oidom @t37)) % 3.61/3.89 (define @t491 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t301) @t282)) % 3.61/3.89 (define @t492 () (= @t282 @t147)) % 3.61/3.89 (define @t493 () (not @t492)) % 3.61/3.89 (define @t494 () (tptp.hAPP @t67 @t48)) % 3.61/3.89 (define @t495 () (tptp.hAPP (tptp.hAPP @t68 @t494) (tptp.hAPP @t251 @t155))) % 3.61/3.89 (define @t496 () (tptp.hBOOL (tptp.hAPP @t359 @t264))) % 3.61/3.89 (define @t497 () (tptp.hBOOL (tptp.hAPP @t356 @t155))) % 3.61/3.89 (define @t498 () (tptp.hBOOL (tptp.hAPP @t356 @t48))) % 3.61/3.89 (define @t499 () (tptp.class_Rings_Olinordered__idom @t37)) % 3.61/3.89 (define @t500 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t37)) % 3.61/3.89 (define @t501 () (tptp.hAPP @t342 @t44)) % 3.61/3.89 (define @t502 () (tptp.hAPP @t501 @t282)) % 3.61/3.89 (define @t503 () (tptp.class_Rings_Oring__1 @t37)) % 3.61/3.89 (define @t504 () (tptp.hAPP @t342 @t82)) % 3.61/3.89 (define @t505 () (tptp.hAPP @t504 @t282)) % 3.61/3.89 (define @t506 () (tptp.class_Power_Opower @t37)) % 3.61/3.89 (define @t507 () (and @t506 (tptp.class_Rings_Osemiring__0 @t37))) % 3.61/3.89 (define @t508 () (@var "V_P_2" $$unsorted)) % 3.61/3.89 (define @t509 () (tptp.hBOOL (tptp.hAPP @t508 @t3))) % 3.61/3.89 (define @t510 () (tptp.hAPP @t136 @t3)) % 3.61/3.89 (define @t511 () (@var "V_l_2" $$unsorted)) % 3.61/3.89 (define @t512 () (tptp.class_Rings_Odvd @t23)) % 3.61/3.89 (define @t513 () (@var "V_N" $$unsorted)) % 3.61/3.89 (define @t514 () (tptp.hAPP @t501 @t513)) % 3.61/3.89 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t282)) % 3.61/3.89 (define @t516 () (tptp.hBOOL (tptp.hAPP @t515 @t513))) % 3.61/3.89 (define @t517 () (@list @t44 @t513 @t282 @t37)) % 3.61/3.89 (define @t518 () (tptp.hAPP @t501 @t247)) % 3.61/3.89 (define @t519 () (@list @t282 @t247 @t44 @t37)) % 3.61/3.89 (define @t520 () (= @t280 @t147)) % 3.61/3.89 (define @t521 () (not @t520)) % 3.61/3.89 (define @t522 () (tptp.c_Power_Opower__class_Opower @t23)) % 3.61/3.89 (define @t523 () (tptp.hAPP @t522 @t30)) % 3.61/3.89 (define @t524 () (tptp.hAPP @t523 @t280)) % 3.61/3.89 (define @t525 () (tptp.class_Power_Opower @t23)) % 3.61/3.89 (define @t526 () (tptp.hBOOL (tptp.hAPP @t477 @t44))) % 3.61/3.89 (define @t527 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 3.61/3.89 (define @t528 () (@list @t154)) % 3.61/3.89 (define @t529 () (tptp.hAPP @t372 @t154)) % 3.61/3.89 (define @t530 () (@var "V_w" $$unsorted)) % 3.61/3.89 (define @t531 () (tptp.hAPP @t372 @t530)) % 3.61/3.89 (define @t532 () (tptp.hAPP @t531 @t154)) % 3.61/3.89 (define @t533 () (tptp.hAPP @t529 @t530)) % 3.61/3.89 (define @t534 () (@list @t530 @t154)) % 3.61/3.89 (define @t535 () (@var "V_z2" $$unsorted)) % 3.61/3.89 (define @t536 () (@var "V_z1" $$unsorted)) % 3.61/3.89 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 3.61/3.89 (define @t538 () (tptp.hAPP @t537 @t536)) % 3.61/3.89 (define @t539 () (tptp.hAPP @t538 @t535)) % 3.61/3.89 (define @t540 () (@var "V_k_2" $$unsorted)) % 3.61/3.89 (define @t541 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 3.61/3.89 (define @t542 () (tptp.hAPP @t541 @t540)) % 3.61/3.89 (define @t543 () (tptp.hAPP @t372 @t540)) % 3.61/3.89 (define @t544 () (tptp.hAPP @t543 @t302)) % 3.61/3.89 (define @t545 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 3.61/3.89 (define @t546 () (tptp.hAPP @t545 @t154)) % 3.61/3.89 (define @t547 () (@var "V_z3" $$unsorted)) % 3.61/3.89 (define @t548 () (tptp.hAPP @t372 @t535)) % 3.61/3.89 (define @t549 () (tptp.hAPP @t372 @t536)) % 3.61/3.89 (define @t550 () (@list @t547 @t535 @t536)) % 3.61/3.89 (define @t551 () (@var "V_t_2" $$unsorted)) % 3.61/3.89 (define @t552 () (tptp.hAPP @t537 @t130)) % 3.61/3.89 (define @t553 () (tptp.hAPP @t541 @t30)) % 3.61/3.89 (define @t554 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t247) @t282))) % 3.61/3.89 (define @t555 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 3.61/3.89 (define @t556 () (tptp.hAPP @t372 @t396)) % 3.61/3.89 (define @t557 () (@list @t282 @t247 @t396)) % 3.61/3.89 (define @t558 () (tptp.hAPP @t385 @t247)) % 3.61/3.89 (define @t559 () (tptp.hAPP @t558 @t282)) % 3.61/3.89 (define @t560 () (tptp.hAPP @t342 @t96)) % 3.61/3.89 (define @t561 () (tptp.hAPP @t560 @t282)) % 3.61/3.89 (define @t562 () (tptp.hAPP @t66 @t502)) % 3.61/3.89 (define @t563 () (tptp.hAPP @t97 @t502)) % 3.61/3.89 (define @t564 () (tptp.hAPP @t562 @t44)) % 3.61/3.89 (define @t565 () (tptp.hAPP @t367 @t344)) % 3.61/3.89 (define @t566 () (tptp.hAPP @t367 @t48)) % 3.61/3.89 (define @t567 () (tptp.hBOOL (tptp.hAPP @t566 @t155))) % 3.61/3.89 (define @t568 () (tptp.hAPP @t367 @t518)) % 3.61/3.89 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t247)) % 3.61/3.89 (define @t570 () (tptp.hBOOL (tptp.hAPP @t569 @t282))) % 3.61/3.89 (define @t571 () (tptp.hBOOL (tptp.hAPP @t515 @t247))) % 3.61/3.89 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t502)) % 3.61/3.89 (define @t573 () (@list @t282)) % 3.61/3.89 (define @t574 () (= @t247 @t147)) % 3.61/3.89 (define @t575 () (@list @t282 @t247)) % 3.61/3.89 (define @t576 () (tptp.class_Orderings_Opreorder @t37)) % 3.61/3.89 (define @t577 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t430 (tptp.hAPP @t488 (tptp.hAPP tptp.c_Nat_OSuc @t487))) @t36)))) % 3.61/3.89 (define @t578 () (not @t122)) % 3.61/3.89 (define @t579 () (@list @t44 @t36 @t37)) % 3.61/3.89 (define @t580 () (tptp.hAPP tptp.c_Nat_OSuc @t147)) % 3.61/3.89 (define @t581 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t582 () (@list @t396)) % 3.61/3.89 (define @t583 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t282) @t247))) % 3.61/3.89 (define @t584 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t555)) % 3.61/3.89 (define @t585 () (tptp.hAPP @t541 @t169)) % 3.61/3.89 (define @t586 () (tptp.hBOOL (tptp.hAPP @t585 @t551))) % 3.61/3.89 (define @t587 () (@list @t551 @t169)) % 3.61/3.89 (define @t588 () (@var "V_j" $$unsorted)) % 3.61/3.89 (define @t589 () (tptp.hAPP @t537 @t396)) % 3.61/3.89 (define @t590 () (@var "V_i" $$unsorted)) % 3.61/3.89 (define @t591 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590)) % 3.61/3.89 (define @t592 () (tptp.hBOOL (tptp.hAPP @t591 @t588))) % 3.61/3.89 (define @t593 () (@list @t396 @t588 @t590)) % 3.61/3.89 (define @t594 () (tptp.hAPP tptp.c_Nat_OSuc @t247)) % 3.61/3.89 (define @t595 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t594) @t282))) % 3.61/3.89 (define @t596 () (tptp.hAPP tptp.c_Nat_OSuc @t282)) % 3.61/3.89 (define @t597 () (tptp.hBOOL (tptp.hAPP @t569 @t596))) % 3.61/3.89 (define @t598 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t280)) % 3.61/3.89 (define @t599 () (tptp.hAPP tptp.c_Nat_OSuc @t302)) % 3.61/3.89 (define @t600 () (tptp.hAPP tptp.c_Nat_OSuc @t280)) % 3.61/3.89 (define @t601 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t600)) % 3.61/3.89 (define @t602 () (@list @t302 @t280)) % 3.61/3.89 (define @t603 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t302)) % 3.61/3.89 (define @t604 () (tptp.hBOOL (tptp.hAPP @t603 @t280))) % 3.61/3.89 (define @t605 () (@list @t280 @t302)) % 3.61/3.89 (define @t606 () (tptp.hBOOL (tptp.hAPP @t601 @t302))) % 3.61/3.89 (define @t607 () (= @t302 @t280)) % 3.61/3.89 (define @t608 () (tptp.hAPP @t385 (tptp.hAPP tptp.c_Nat_OSuc @t540))) % 3.61/3.89 (define @t609 () (tptp.hAPP @t608 @t280)) % 3.61/3.89 (define @t610 () (tptp.hAPP @t608 @t302)) % 3.61/3.89 (define @t611 () (@list @t280 @t302 @t540)) % 3.61/3.89 (define @t612 () (= @t302 @t580)) % 3.61/3.89 (define @t613 () (tptp.hAPP @t581 @t302)) % 3.61/3.89 (define @t614 () (@list @t302)) % 3.61/3.89 (define @t615 () (@var "V_times_2" $$unsorted)) % 3.61/3.89 (define @t616 () (@var "V_one_2" $$unsorted)) % 3.61/3.89 (define @t617 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t23 @t616 @t615) @t30)) % 3.61/3.89 (define @t618 () (= @t48 @t155)) % 3.61/3.89 (define @t619 () (@list @t155 @t48)) % 3.61/3.89 (define @t620 () (@var "V_nat_H_2" $$unsorted)) % 3.61/3.89 (define @t621 () (@var "V_nat_2" $$unsorted)) % 3.61/3.89 (define @t622 () (tptp.hAPP tptp.c_Nat_OSuc @t621)) % 3.61/3.89 (define @t623 () (@list @t247)) % 3.61/3.89 (define @t624 () (@var "V_nat_H_1" $$unsorted)) % 3.61/3.89 (define @t625 () (@var "V_nat_H" $$unsorted)) % 3.61/3.89 (define @t626 () (tptp.hAPP @t325 @t596)) % 3.61/3.89 (define @t627 () (tptp.hAPP (tptp.hAPP @t324 @t594) @t282)) % 3.61/3.89 (define @t628 () (tptp.hAPP tptp.c_Nat_OSuc @t326)) % 3.61/3.89 (define @t629 () (tptp.hAPP @t545 @t530)) % 3.61/3.89 (define @t630 () (tptp.hAPP @t537 @t546)) % 3.61/3.89 (define @t631 () (tptp.hAPP @t537 @t154)) % 3.61/3.89 (define @t632 () (tptp.hAPP @t631 @t530)) % 3.61/3.89 (define @t633 () (tptp.hAPP @t537 @t530)) % 3.61/3.89 (define @t634 () (tptp.hAPP @t633 @t154)) % 3.61/3.89 (define @t635 () (tptp.hAPP @t537 @t48)) % 3.61/3.89 (define @t636 () (tptp.hAPP @t537 @t155)) % 3.61/3.89 (define @t637 () (tptp.hAPP @t537 @t527)) % 3.61/3.89 (define @t638 () (tptp.hAPP @t637 @t154)) % 3.61/3.89 (define @t639 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t640 () (= @t302 @t147)) % 3.61/3.89 (define @t641 () (tptp.hAPP @t639 @t130)) % 3.61/3.89 (define @t642 () (= @t280 @t580)) % 3.61/3.89 (define @t643 () (or (and @t612 @t520) (and @t640 @t642))) % 3.61/3.89 (define @t644 () (tptp.hAPP @t324 @t302)) % 3.61/3.89 (define @t645 () (tptp.hAPP @t644 @t280)) % 3.61/3.89 (define @t646 () (tptp.hAPP @t385 @t302)) % 3.61/3.89 (define @t647 () (tptp.hAPP @t646 @t280)) % 3.61/3.89 (define @t648 () (tptp.hAPP @t324 @t282)) % 3.61/3.89 (define @t649 () (tptp.hAPP @t343 (tptp.hAPP tptp.c_Nat_OSuc @t49))) % 3.61/3.89 (define @t650 () (@list @t49 @t48 @t37)) % 3.61/3.89 (define @t651 () (tptp.hAPP @t67 @t404)) % 3.61/3.89 (define @t652 () (tptp.hAPP @t501 @t596)) % 3.61/3.89 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580)) % 3.61/3.89 (define @t654 () (tptp.hAPP @t639 @t590)) % 3.61/3.89 (define @t655 () (tptp.hAPP @t654 @t282)) % 3.61/3.89 (define @t656 () (@list @t282 @t590)) % 3.61/3.89 (define @t657 () (tptp.hAPP @t560 @t596)) % 3.61/3.89 (define @t658 () (tptp.hAPP tptp.c_Nat_OSuc @t580)) % 3.61/3.89 (define @t659 () (tptp.hBOOL (tptp.hAPP @t359 @t48))) % 3.61/3.89 (define @t660 () (tptp.class_Orderings_Olinorder @t37)) % 3.61/3.89 (define @t661 () (tptp.hAPP @t2 @t130)) % 3.61/3.89 (define @t662 () (tptp.tc_fun @t23 @t56)) % 3.61/3.89 (define @t663 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t662 @t2) @t1))) % 3.61/3.89 (define @t664 () (tptp.class_Orderings_Oord @t56)) % 3.61/3.89 (define @t665 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t154)) % 3.61/3.89 (define @t666 () (tptp.hBOOL (tptp.hAPP @t665 @t155))) % 3.61/3.89 (define @t667 () (tptp.class_Orderings_Oorder @t37)) % 3.61/3.89 (define @t668 () (@list @t154 @t48 @t155 @t37)) % 3.61/3.89 (define @t669 () (@list @t48 @t155 @t37)) % 3.61/3.89 (define @t670 () (tptp.hBOOL (tptp.hAPP @t359 @t154))) % 3.61/3.89 (define @t671 () (tptp.hBOOL (tptp.hAPP @t416 @t44))) % 3.61/3.89 (define @t672 () (tptp.hBOOL (tptp.hAPP @t408 @t35))) % 3.61/3.89 (define @t673 () (tptp.class_Orderings_Oord @t37)) % 3.61/3.89 (define @t674 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t130) @t128))) % 3.61/3.89 (define @t675 () (= @t674 @t379)) % 3.61/3.89 (define @t676 () (tptp.class_Orderings_Oorder @t23)) % 3.61/3.89 (define @t677 () (@list @t130 @t128 @t23)) % 3.61/3.89 (define @t678 () (@list @t1 @t2 @t23 @t56)) % 3.61/3.89 (define @t679 () (tptp.hAPP @t648 @t247)) % 3.61/3.89 (define @t680 () (tptp.hAPP @t324 @t48)) % 3.61/3.89 (define @t681 () (tptp.hAPP @t648 @t396)) % 3.61/3.89 (define @t682 () (@list @t396 @t282 @t247)) % 3.61/3.89 (define @t683 () (tptp.hAPP @t324 @t540)) % 3.61/3.89 (define @t684 () (tptp.hAPP @t683 @t280)) % 3.61/3.89 (define @t685 () (tptp.hAPP @t683 @t302)) % 3.61/3.89 (define @t686 () (tptp.hAPP (tptp.hAPP @t324 @t280) @t540)) % 3.61/3.89 (define @t687 () (@list @t280 @t540 @t302)) % 3.61/3.89 (define @t688 () (tptp.hAPP @t581 @t540)) % 3.61/3.89 (define @t689 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t590)) % 3.61/3.89 (define @t690 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t588)) % 3.61/3.89 (define @t691 () (tptp.hBOOL (tptp.hAPP @t689 @t588))) % 3.61/3.89 (define @t692 () (tptp.hAPP @t385 @t282)) % 3.61/3.89 (define @t693 () (tptp.hAPP @t692 @t247)) % 3.61/3.89 (define @t694 () (tptp.hAPP @t692 @t396)) % 3.61/3.89 (define @t695 () (= @t302 @t351)) % 3.61/3.89 (define @t696 () (@list @t280)) % 3.61/3.89 (define @t697 () (= @t540 @t147)) % 3.61/3.89 (define @t698 () (or @t607 @t697)) % 3.61/3.89 (define @t699 () (tptp.hAPP @t385 @t540)) % 3.61/3.89 (define @t700 () (tptp.hAPP @t699 @t280)) % 3.61/3.89 (define @t701 () (tptp.hAPP @t699 @t302)) % 3.61/3.89 (define @t702 () (= @t701 @t700)) % 3.61/3.89 (define @t703 () (tptp.hAPP @t385 @t280)) % 3.61/3.89 (define @t704 () (tptp.hAPP @t703 @t540)) % 3.61/3.89 (define @t705 () (tptp.hAPP @t646 @t540)) % 3.61/3.89 (define @t706 () (@list @t247 @t282)) % 3.61/3.89 (define @t707 () (tptp.hAPP @t644 @t348)) % 3.61/3.89 (define @t708 () (@list @t348)) % 3.61/3.89 (define @t709 () (tptp.hAPP @t324 @t588)) % 3.61/3.89 (define @t710 () (tptp.hAPP @t709 @t247)) % 3.61/3.89 (define @t711 () (@list @t247 @t588 @t590)) % 3.61/3.89 (define @t712 () (tptp.hAPP @t325 @t588)) % 3.61/3.89 (define @t713 () (tptp.hAPP @t709 @t396)) % 3.61/3.89 (define @t714 () (tptp.hAPP @t324 @t590)) % 3.61/3.89 (define @t715 () (tptp.hAPP @t714 @t396)) % 3.61/3.89 (define @t716 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t715)) % 3.61/3.89 (define @t717 () (@var "V_l" $$unsorted)) % 3.61/3.89 (define @t718 () (tptp.hAPP @t709 @t717)) % 3.61/3.89 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t396)) % 3.61/3.89 (define @t720 () (tptp.hBOOL (tptp.hAPP @t719 @t717))) % 3.61/3.89 (define @t721 () (@list @t717 @t396 @t588 @t590)) % 3.61/3.89 (define @t722 () (tptp.hBOOL (tptp.hAPP @t719 @t282))) % 3.61/3.89 (define @t723 () (tptp.hAPP @t325 @t396)) % 3.61/3.89 (define @t724 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t723) @t282))) % 3.61/3.89 (define @t725 () (@list @t282 @t396 @t247)) % 3.61/3.89 (define @t726 () (tptp.hAPP @t558 @t396)) % 3.61/3.89 (define @t727 () (tptp.hAPP @t385 @t396)) % 3.61/3.89 (define @t728 () (tptp.hAPP @t727 @t282)) % 3.61/3.89 (define @t729 () (tptp.hAPP @t727 @t247)) % 3.61/3.89 (define @t730 () (tptp.hAPP @t558 @t247)) % 3.61/3.89 (define @t731 () (tptp.hAPP @t385 @t588)) % 3.61/3.89 (define @t732 () (tptp.hAPP @t731 @t396)) % 3.61/3.89 (define @t733 () (tptp.hAPP @t385 @t590)) % 3.61/3.89 (define @t734 () (tptp.hAPP @t733 @t396)) % 3.61/3.89 (define @t735 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t734)) % 3.61/3.89 (define @t736 () (tptp.hAPP @t727 @t588)) % 3.61/3.89 (define @t737 () (tptp.hAPP @t727 @t590)) % 3.61/3.89 (define @t738 () (= @t280 @t351)) % 3.61/3.89 (define @t739 () (and @t695 @t738)) % 3.61/3.89 (define @t740 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) % 3.61/3.89 (define @t741 () (@list @t29 @t30 @t280)) % 3.61/3.89 (define @t742 () (@list @t96 @t282 @t44)) % 3.61/3.89 (define @t743 () (tptp.hAPP @t370 @t282)) % 3.61/3.89 (define @t744 () (tptp.hBOOL (tptp.hAPP @t584 @t48))) % 3.61/3.89 (define @t745 () (@list @t282 @t48)) % 3.61/3.89 (define @t746 () (tptp.hAPP @t714 @t588)) % 3.61/3.89 (define @t747 () (tptp.hAPP @t324 (tptp.hAPP @t731 @t353))) % 3.61/3.89 (define @t748 () (tptp.hAPP @t324 (tptp.hAPP @t733 @t353))) % 3.61/3.89 (define @t749 () (tptp.hAPP (tptp.hAPP @t372 @t48) @t155)) % 3.61/3.89 (define @t750 () (tptp.hBOOL (tptp.hAPP @t584 @t155))) % 3.61/3.89 (define @t751 () (tptp.hAPP @t581 @t48)) % 3.61/3.89 (define @t752 () (@list @t48)) % 3.61/3.89 (define @t753 () (tptp.hBOOL (tptp.hAPP @t751 @t155))) % 3.61/3.89 (define @t754 () (tptp.hAPP @t581 @t155)) % 3.61/3.89 (define @t755 () (tptp.hBOOL (tptp.hAPP @t754 @t48))) % 3.61/3.89 (define @t756 () (and @t753 (not @t755))) % 3.61/3.89 (define @t757 () (tptp.hAPP @t581 @t154)) % 3.61/3.89 (define @t758 () (tptp.hBOOL (tptp.hAPP @t751 @t154))) % 3.61/3.89 (define @t759 () (and @t758 (not (tptp.hBOOL (tptp.hAPP @t757 @t48))))) % 3.61/3.89 (define @t760 () (tptp.hBOOL (tptp.hAPP @t754 @t154))) % 3.61/3.89 (define @t761 () (=> (and @t760 (not (tptp.hBOOL (tptp.hAPP @t757 @t155)))) @t759)) % 3.61/3.89 (define @t762 () (tptp.hAPP @t581 @t44)) % 3.61/3.89 (define @t763 () (tptp.hBOOL (tptp.hAPP @t762 @t96))) % 3.61/3.89 (define @t764 () (tptp.hAPP @t581 @t96)) % 3.61/3.89 (define @t765 () (tptp.hBOOL (tptp.hAPP @t764 @t44))) % 3.61/3.89 (define @t766 () (and @t763 (not @t765))) % 3.61/3.89 (define @t767 () (@list @t96 @t44)) % 3.61/3.89 (define @t768 () (tptp.hAPP @t581 @t35)) % 3.61/3.89 (define @t769 () (tptp.hBOOL (tptp.hAPP @t762 @t35))) % 3.61/3.89 (define @t770 () (and @t769 (not (tptp.hBOOL (tptp.hAPP @t768 @t44))))) % 3.61/3.89 (define @t771 () (@list @t35 @t96 @t44)) % 3.61/3.89 (define @t772 () (not (= @t155 @t48))) % 3.61/3.89 (define @t773 () (not @t618)) % 3.61/3.89 (define @t774 () (tptp.hBOOL (tptp.hAPP @t764 @t35))) % 3.61/3.89 (define @t775 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t282) @t247))) % 3.61/3.89 (define @t776 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t247) @t282))) % 3.61/3.89 (define @t777 () (not @t143)) % 3.61/3.89 (define @t778 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t130) @t128))) % 3.61/3.89 (define @t779 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t128) @t130))) % 3.61/3.89 (define @t780 () (not @t379)) % 3.61/3.89 (define @t781 () (and @t778 (not @t779))) % 3.61/3.89 (define @t782 () (@list @t128 @t130)) % 3.61/3.89 (define @t783 () (tptp.c_Orderings_Oord__class_OLeast @t23 @t508)) % 3.61/3.89 (define @t784 () (tptp.hBOOL (tptp.hAPP @t508 @t783))) % 3.61/3.89 (define @t785 () (@var "B_x1" $$unsorted)) % 3.61/3.89 (define @t786 () (tptp.hBOOL (tptp.hAPP @t508 @t785))) % 3.61/3.89 (define @t787 () (@list @t785)) % 3.61/3.89 (define @t788 () (exists @t787 @t786)) % 3.61/3.89 (define @t789 () (tptp.class_Orderings_Owellorder @t23)) % 3.61/3.89 (define @t790 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t530)) % 3.61/3.89 (define @t791 () (tptp.hBOOL (tptp.hAPP @t790 @t154))) % 3.61/3.89 (define @t792 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t154)) % 3.61/3.89 (define @t793 () (tptp.hBOOL (tptp.hAPP @t792 @t530))) % 3.61/3.89 (define @t794 () (tptp.hBOOL (tptp.hAPP @t508 @t540))) % 3.61/3.89 (define @t795 () (@list @t540 @t508 @t23)) % 3.61/3.89 (define @t796 () (tptp.hBOOL (tptp.hAPP @t508 @t147))) % 3.61/3.89 (define @t797 () (not @t796)) % 3.61/3.89 (define @t798 () (tptp.hAPP @t508 @t280)) % 3.61/3.89 (define @t799 () (tptp.hBOOL @t798)) % 3.61/3.89 (define @t800 () (@list @t280 @t508)) % 3.61/3.89 (define @t801 () (tptp.hBOOL (tptp.hAPP @t613 @t280))) % 3.61/3.89 (define @t802 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t701) @t700))) % 3.61/3.89 (define @t803 () (tptp.hAPP @t635 @t155)) % 3.61/3.89 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t48)) % 3.61/3.89 (define @t805 () (tptp.hBOOL (tptp.hAPP @t804 @t374))) % 3.61/3.89 (define @t806 () (@list @t155 @t154 @t48)) % 3.61/3.89 (define @t807 () (tptp.hBOOL (tptp.hAPP @t804 @t155))) % 3.61/3.89 (define @t808 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t540)) % 3.61/3.89 (define @t809 () (@list @t511 @t540)) % 3.61/3.89 (define @t810 () (tptp.c_Nat_Onat_Onat__case @t23 @t30 @t363)) % 3.61/3.89 (define @t811 () (@var "V_f1_2" $$unsorted)) % 3.61/3.89 (define @t812 () (@var "V_f2_2" $$unsorted)) % 3.61/3.89 (define @t813 () (tptp.c_Nat_Onat_Onat__case @t23 @t811 @t812)) % 3.61/3.89 (define @t814 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t599) @t280))) % 3.61/3.89 (define @t815 () (tptp.hAPP @t2 @t128)) % 3.61/3.89 (define @t816 () (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t23 @t581 @t2)) % 3.61/3.89 (define @t817 () (@list @t128 @t130 @t2 @t23)) % 3.61/3.89 (define @t818 () (@var "V_z_H" $$unsorted)) % 3.61/3.89 (define @t819 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t529 @t818))) % 3.61/3.89 (define @t820 () (tptp.hBOOL (tptp.hAPP @t792 @t555))) % 3.61/3.89 (define @t821 () (@list @t818 @t154)) % 3.61/3.89 (define @t822 () (tptp.c_Orderings_Oord__class_Oless @t37 @t155)) % 3.61/3.89 (define @t823 () (tptp.c_Orderings_Oord__class_Oless @t37 @t48)) % 3.61/3.89 (define @t824 () (tptp.hAPP tptp.c_Int_Onat @t154)) % 3.61/3.89 (define @t825 () (tptp.hBOOL (tptp.hAPP @t584 @t154))) % 3.61/3.89 (define @t826 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t282)) % 3.61/3.89 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t594)) % 3.61/3.89 (define @t828 () (tptp.hBOOL (tptp.hAPP @t827 @t596))) % 3.61/3.89 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t247)) % 3.61/3.89 (define @t830 () (tptp.hBOOL (tptp.hAPP @t829 @t282))) % 3.61/3.89 (define @t831 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t147)) % 3.61/3.89 (define @t832 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t48)) % 3.61/3.89 (define @t833 () (tptp.hBOOL (tptp.hAPP @t832 @t155))) % 3.61/3.89 (define @t834 () (tptp.hBOOL (tptp.hAPP @t832 @t374))) % 3.61/3.89 (define @t835 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t244) @t212))) % 3.61/3.89 (define @t836 () (tptp.hAPP tptp.c_Int_Onat @t212)) % 3.61/3.89 (define @t837 () (tptp.hAPP tptp.c_Int_Onat @t244)) % 3.61/3.89 (define @t838 () (tptp.hBOOL (tptp.hAPP @t584 @t212))) % 3.61/3.89 (define @t839 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t555)) % 3.61/3.89 (define @t840 () (@list @t212 @t244)) % 3.61/3.89 (define @t841 () (tptp.c_Orderings_Oord__class_Oless @t37 @t44)) % 3.61/3.89 (define @t842 () (tptp.hBOOL (tptp.hAPP @t841 @t264))) % 3.61/3.89 (define @t843 () (tptp.c_Orderings_Oord__class_Oless @t37 @t82)) % 3.61/3.89 (define @t844 () (tptp.hBOOL (tptp.hAPP @t843 @t44))) % 3.61/3.89 (define @t845 () (tptp.hBOOL (tptp.hAPP @t826 @t513))) % 3.61/3.89 (define @t846 () (tptp.c_Orderings_Oord__class_Oless @t37 @t264)) % 3.61/3.89 (define @t847 () (tptp.hBOOL (tptp.hAPP @t831 @t282))) % 3.61/3.89 (define @t848 () (tptp.hBOOL (tptp.hAPP @t846 @t44))) % 3.61/3.89 (define @t849 () (tptp.hBOOL (tptp.hAPP @t839 @t212))) % 3.61/3.89 (define @t850 () (@list @t212)) % 3.61/3.89 (define @t851 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t244)) % 3.61/3.89 (define @t852 () (tptp.hBOOL (tptp.hAPP @t851 @t212))) % 3.61/3.89 (define @t853 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t837)) % 3.61/3.89 (define @t854 () (tptp.hBOOL (tptp.hAPP @t853 @t836))) % 3.61/3.89 (define @t855 () (= @t854 @t852)) % 3.61/3.89 (define @t856 () (@list @t244 @t212)) % 3.61/3.89 (define @t857 () (tptp.hBOOL (tptp.hAPP @t822 @t48))) % 3.61/3.89 (define @t858 () (tptp.hBOOL (tptp.hAPP @t823 @t155))) % 3.61/3.89 (define @t859 () (not @t858)) % 3.61/3.89 (define @t860 () (tptp.c_Orderings_Oord__class_Oless @t37 @t154)) % 3.61/3.89 (define @t861 () (tptp.hBOOL (tptp.hAPP @t860 @t48))) % 3.61/3.89 (define @t862 () (=> (tptp.hBOOL (tptp.hAPP @t860 @t155)) @t861)) % 3.61/3.89 (define @t863 () (tptp.hBOOL (tptp.hAPP @t823 @t154))) % 3.61/3.89 (define @t864 () (=> (tptp.hBOOL (tptp.hAPP @t822 @t154)) @t863)) % 3.61/3.89 (define @t865 () (tptp.c_Orderings_Oord__class_Oless @t37 @t35)) % 3.61/3.89 (define @t866 () (tptp.hBOOL (tptp.hAPP @t865 @t44))) % 3.61/3.89 (define @t867 () (tptp.c_Orderings_Oord__class_Oless @t37 @t96)) % 3.61/3.89 (define @t868 () (tptp.hBOOL (tptp.hAPP @t867 @t44))) % 3.61/3.89 (define @t869 () (tptp.hBOOL (tptp.hAPP @t841 @t35))) % 3.61/3.89 (define @t870 () (tptp.hBOOL (tptp.hAPP @t841 @t96))) % 3.61/3.89 (define @t871 () (tptp.hBOOL (tptp.hAPP @t867 @t35))) % 3.61/3.89 (define @t872 () (@list @t44 @t96 @t37)) % 3.61/3.89 (define @t873 () (=> @t773 (=> @t859 @t857))) % 3.61/3.89 (define @t874 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t130) @t128))) % 3.61/3.89 (define @t875 () (not @t874)) % 3.61/3.89 (define @t876 () (= @t875 @t379)) % 3.61/3.89 (define @t877 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t128) @t130))) % 3.61/3.89 (define @t878 () (tptp.class_Orderings_Olinorder @t23)) % 3.61/3.89 (define @t879 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t580)) % 3.61/3.89 (define @t880 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590) @t588))) % 3.61/3.89 (define @t881 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t302)) % 3.61/3.89 (define @t882 () (tptp.hBOOL (tptp.hAPP @t881 @t280))) % 3.61/3.89 (define @t883 () (or @t882 @t607)) % 3.61/3.89 (define @t884 () (not @t607)) % 3.61/3.89 (define @t885 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t590)) % 3.61/3.89 (define @t886 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t746)) % 3.61/3.89 (define @t887 () (tptp.hAPP @t324 @t396)) % 3.61/3.89 (define @t888 () (tptp.hAPP @t887 @t282)) % 3.61/3.89 (define @t889 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t396) @t717))) % 3.61/3.89 (define @t890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t715)) % 3.61/3.89 (define @t891 () (tptp.hBOOL (tptp.hAPP @t885 @t588))) % 3.61/3.89 (define @t892 () (tptp.hAPP @t709 @t590)) % 3.61/3.89 (define @t893 () (tptp.hBOOL (tptp.hAPP @t827 @t282))) % 3.61/3.89 (define @t894 () (not @t830)) % 3.61/3.89 (define @t895 () (tptp.hBOOL (tptp.hAPP @t829 @t596))) % 3.61/3.89 (define @t896 () (tptp.hAPP tptp.c_Nat_OSuc @t590)) % 3.61/3.89 (define @t897 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t588) @t396))) % 3.61/3.89 (define @t898 () (tptp.hBOOL (tptp.hAPP @t826 @t247))) % 3.61/3.89 (define @t899 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t280)) % 3.61/3.89 (define @t900 () (tptp.hBOOL (tptp.hAPP @t899 @t599))) % 3.61/3.89 (define @t901 () (= @t900 (= @t280 @t302))) % 3.61/3.89 (define @t902 () (tptp.hBOOL (tptp.hAPP @t899 @t302))) % 3.61/3.89 (define @t903 () (tptp.hBOOL (tptp.hAPP @t881 @t600))) % 3.61/3.89 (define @t904 () (tptp.hBOOL (tptp.hAPP @t831 @t280))) % 3.61/3.89 (define @t905 () (tptp.c_Orderings_Oord__class_Oless @t23 @t30)) % 3.61/3.89 (define @t906 () (tptp.hBOOL (tptp.hAPP @t905 @t29))) % 3.61/3.89 (define @t907 () (tptp.c_Orderings_Oord__class_Oless @t23 @t277)) % 3.61/3.89 (define @t908 () (tptp.c_Orderings_Oord__class_Oless @t23 @t276)) % 3.61/3.89 (define @t909 () (tptp.c_Orderings_Oord__class_Oless @t23 @t29)) % 3.61/3.89 (define @t910 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t211) @t410))) % 3.61/3.89 (define @t911 () (tptp.c_Orderings_Oord__class_Oless @t37 @t200)) % 3.61/3.89 (define @t912 () (tptp.hBOOL (tptp.hAPP @t911 @t207))) % 3.61/3.89 (define @t913 () (tptp.hBOOL (tptp.hAPP @t911 @t199))) % 3.61/3.89 (define @t914 () (tptp.hBOOL (tptp.hAPP @t865 @t140))) % 3.61/3.89 (define @t915 () (=> @t914 @t913)) % 3.61/3.89 (define @t916 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t37)) % 3.61/3.89 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t212)) % 3.61/3.89 (define @t918 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t212)) % 3.61/3.89 (define @t919 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t130) @t128))) % 3.61/3.89 (define @t920 () (tptp.hAPP @t522 @t29)) % 3.61/3.89 (define @t921 () (tptp.hAPP @t920 @t128)) % 3.61/3.89 (define @t922 () (tptp.hAPP @t920 @t130)) % 3.61/3.89 (define @t923 () (tptp.c_Orderings_Oord__class_Oless @t23 @t270)) % 3.61/3.89 (define @t924 () (tptp.hBOOL (tptp.hAPP @t923 @t29))) % 3.61/3.89 (define @t925 () (tptp.class_Rings_Olinordered__semidom @t23)) % 3.61/3.89 (define @t926 () (@list @t128 @t130 @t29 @t23)) % 3.61/3.89 (define @t927 () (tptp.c_Orderings_Oord__class_Oless @t37 @t502)) % 3.61/3.89 (define @t928 () (tptp.hAPP tptp.c_Int_Onat @t128)) % 3.61/3.89 (define @t929 () (tptp.hAPP tptp.c_Int_Onat @t130)) % 3.61/3.89 (define @t930 () (tptp.hBOOL (tptp.hAPP @t584 @t128))) % 3.61/3.89 (define @t931 () (tptp.hBOOL (tptp.hAPP @t584 @t130))) % 3.61/3.89 (define @t932 () (tptp.hBOOL (tptp.hAPP @t584 @t244))) % 3.61/3.89 (define @t933 () (tptp.hBOOL (tptp.hAPP @t927 @t561))) % 3.61/3.89 (define @t934 () (tptp.hAPP tptp.c_Int_Onat @t555)) % 3.61/3.89 (define @t935 () (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 3.61/3.89 (define @t936 () (tptp.hBOOL (tptp.hAPP @t584 @t3))) % 3.61/3.89 (define @t937 () (@list @t508)) % 3.61/3.89 (define @t938 () (@var "V_z_H_2" $$unsorted)) % 3.61/3.89 (define @t939 () (tptp.hBOOL (tptp.hAPP @t909 @t30))) % 3.61/3.89 (define @t940 () (tptp.c_Orderings_Oord__class_Oless @t23 @t166)) % 3.61/3.89 (define @t941 () (tptp.hBOOL (tptp.hAPP @t940 @t111))) % 3.61/3.89 (define @t942 () (tptp.c_Orderings_Oord__class_Oless @t23 @t111)) % 3.61/3.89 (define @t943 () (tptp.hBOOL (tptp.hAPP @t942 @t166))) % 3.61/3.89 (define @t944 () (or (and @t943 @t906) (and @t941 @t939))) % 3.61/3.89 (define @t945 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t439) @t438))) % 3.61/3.89 (define @t946 () (tptp.hBOOL (tptp.hAPP @t843 @t98))) % 3.61/3.89 (define @t947 () (tptp.hBOOL (tptp.hAPP @t843 @t96))) % 3.61/3.89 (define @t948 () (tptp.class_Rings_Olinordered__semiring__strict @t37)) % 3.61/3.89 (define @t949 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t98) @t82))) % 3.61/3.89 (define @t950 () (tptp.hBOOL (tptp.hAPP @t867 @t82))) % 3.61/3.89 (define @t951 () (=> @t844 @t947)) % 3.61/3.89 (define @t952 () (tptp.hBOOL (tptp.hAPP @t841 @t82))) % 3.61/3.89 (define @t953 () (tptp.class_Rings_Olinordered__ring__strict @t37)) % 3.61/3.89 (define @t954 () (tptp.c_Orderings_Oord__class_Oless @t37 @t177)) % 3.61/3.89 (define @t955 () (tptp.hBOOL (tptp.hAPP @t954 @t176))) % 3.61/3.89 (define @t956 () (tptp.hBOOL (tptp.hAPP @t843 @t35))) % 3.61/3.89 (define @t957 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t461) @t460))) % 3.61/3.89 (define @t958 () (=> @t870 (=> @t956 @t957))) % 3.61/3.89 (define @t959 () (tptp.hBOOL (tptp.hAPP @t865 @t82))) % 3.61/3.89 (define @t960 () (tptp.hBOOL (tptp.hAPP @t942 @t30))) % 3.61/3.89 (define @t961 () (tptp.hBOOL (tptp.hAPP @t905 @t111))) % 3.61/3.89 (define @t962 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t259) @t111)) @t961)) % 3.61/3.89 (define @t963 () (tptp.class_Rings_Olinordered__idom @t23)) % 3.61/3.89 (define @t964 () (tptp.hBOOL (tptp.hAPP @t843 @t118))) % 3.61/3.89 (define @t965 () (=> @t947 @t964)) % 3.61/3.89 (define @t966 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t118) @t82))) % 3.61/3.89 (define @t967 () (=> @t950 @t966)) % 3.61/3.89 (define @t968 () (tptp.hBOOL (tptp.hAPP @t867 @t200))) % 3.61/3.89 (define @t969 () (=> @t871 @t968)) % 3.61/3.89 (define @t970 () (tptp.hAPP tptp.c_Int_Onat @t527)) % 3.61/3.89 (define @t971 () (tptp.hAPP @t66 @t247)) % 3.61/3.89 (define @t972 () (@list @t282 @t247 @t37)) % 3.61/3.89 (define @t973 () (@var "B_m" $$unsorted)) % 3.61/3.89 (define @t974 () (@var "B_j" $$unsorted)) % 3.61/3.89 (define @t975 () (tptp.hBOOL (tptp.hAPP @t831 @t247))) % 3.61/3.89 (define @t976 () (tptp.hBOOL (tptp.hAPP @t831 @t302))) % 3.61/3.89 (define @t977 () (@list @t247 @t590)) % 3.61/3.89 (define @t978 () (tptp.hBOOL (tptp.hAPP @t831 @t540))) % 3.61/3.89 (define @t979 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t701) @t700))) % 3.61/3.89 (define @t980 () (and @t978 @t882)) % 3.61/3.89 (define @t981 () (tptp.hBOOL (tptp.hAPP @t831 @t396))) % 3.61/3.89 (define @t982 () (tptp.hBOOL (tptp.hAPP @t839 @t396))) % 3.61/3.89 (define @t983 () (@var "V_w_H" $$unsorted)) % 3.61/3.89 (define @t984 () (= @t244 @t212)) % 3.61/3.89 (define @t985 () (tptp.hBOOL (tptp.hAPP @t851 (tptp.hAPP (tptp.hAPP @t537 @t212) @t527)))) % 3.61/3.89 (define @t986 () (tptp.hAPP @t654 @t247)) % 3.61/3.89 (define @t987 () (@list @t282 @t247 @t590)) % 3.61/3.89 (define @t988 () (tptp.hBOOL (tptp.hAPP @t831 @t130))) % 3.61/3.89 (define @t989 () (tptp.hBOOL (tptp.hAPP @t831 (tptp.hAPP @t641 @t280)))) % 3.61/3.89 (define @t990 () (@list @t280 @t130)) % 3.61/3.89 (define @t991 () (@var "V_i_2" $$unsorted)) % 3.61/3.89 (define @t992 () (tptp.hAPP tptp.c_Int_Onat @t991)) % 3.61/3.89 (define @t993 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t439) @t438))) % 3.61/3.89 (define @t994 () (tptp.hBOOL (tptp.hAPP @t954 @t397))) % 3.61/3.89 (define @t995 () (=> @t456 @t994)) % 3.61/3.89 (define @t996 () (=> @t456 @t870)) % 3.61/3.89 (define @t997 () (=> @t955 @t996)) % 3.61/3.89 (define @t998 () (tptp.class_Rings_Olinordered__semiring @t37)) % 3.61/3.89 (define @t999 () (=> @t957 @t996)) % 3.61/3.89 (define @t1000 () (=> @t956 @t409)) % 3.61/3.89 (define @t1001 () (tptp.hBOOL (tptp.hAPP @t879 @t247))) % 3.61/3.89 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t879 @t282))) % 3.61/3.89 (define @t1003 () (tptp.hAPP @t581 @t396)) % 3.61/3.89 (define @t1004 () (tptp.hBOOL (tptp.hAPP @t1003 @t282))) % 3.61/3.89 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t527)) % 3.61/3.89 (define @t1006 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t701) @t700))) % 3.61/3.89 (define @t1007 () (=> @t978 @t604)) % 3.61/3.89 (define @t1008 () (tptp.hBOOL (tptp.hAPP @t918 @t555))) % 3.61/3.89 (define @t1009 () (tptp.hAPP @t537 @t244)) % 3.61/3.89 (define @t1010 () (@list @t282 @t154)) % 3.61/3.89 (define @t1011 () (tptp.hAPP tptp.c_Int_Onat @t155)) % 3.61/3.89 (define @t1012 () (tptp.hAPP tptp.c_Int_Onat @t48)) % 3.61/3.89 (define @t1013 () (tptp.hAPP tptp.c_Int_Onat @t818)) % 3.61/3.89 (define @t1014 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t130) @t128))) % 3.61/3.89 (define @t1015 () (@list @t48 @t282 @t37)) % 3.61/3.89 (define @t1016 () (tptp.hAPP (tptp.hAPP @t369 @t154) @t282)) % 3.61/3.89 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119)) % 3.61/3.89 (define @t1018 () (= @t44 (tptp.hAPP (tptp.hAPP @t537 @t119) (tptp.hAPP (tptp.hAPP @t372 @t44) @t49)))) % 3.61/3.89 (define @t1019 () (tptp.hBOOL (tptp.hAPP @t839 @t44))) % 3.61/3.89 (define @t1020 () (@list @t49 @t119 @t44)) % 3.61/3.89 (define @t1021 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t49)) % 3.61/3.89 (define @t1022 () (tptp.hBOOL (tptp.hAPP @t584 @t119))) % 3.61/3.89 (define @t1023 () (@var "V_q_H" $$unsorted)) % 3.61/3.89 (define @t1024 () (tptp.hBOOL (tptp.hAPP @t839 @t149))) % 3.61/3.89 (define @t1025 () (@var "V_r_H" $$unsorted)) % 3.61/3.89 (define @t1026 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1025)) % 3.61/3.89 (define @t1027 () (tptp.hBOOL (tptp.hAPP @t1026 @t149))) % 3.61/3.89 (define @t1028 () (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP (tptp.hAPP @t372 @t149) @t1023)) @t1025)) % 3.61/3.89 (define @t1029 () (tptp.hBOOL (tptp.hAPP @t584 @t1028))) % 3.61/3.89 (define @t1030 () (@list @t1025 @t1023 @t149)) % 3.61/3.89 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1023)) % 3.61/3.89 (define @t1032 () (tptp.hBOOL (tptp.hAPP @t584 @t1025))) % 3.61/3.89 (define @t1033 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1028) @t555))) % 3.61/3.89 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t798 @t302))) % 3.61/3.89 (define @t1035 () (@var "V_t" $$unsorted)) % 3.61/3.89 (define @t1036 () (@var "V_s" $$unsorted)) % 3.61/3.89 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t48)) % 3.61/3.89 (define @t1038 () (tptp.hBOOL (tptp.hAPP @t1031 @t49))) % 3.61/3.89 (define @t1039 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t149) @t96))) % 3.61/3.89 (define @t1040 () (tptp.hBOOL (tptp.hAPP @t1017 @t96))) % 3.61/3.89 (define @t1041 () (tptp.hAPP @t372 @t96)) % 3.61/3.89 (define @t1042 () (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP @t1041 @t49)) @t119)) % 3.61/3.89 (define @t1043 () (= @t1042 @t1028)) % 3.61/3.89 (define @t1044 () (@list @t1025 @t1023 @t149 @t119 @t49 @t96)) % 3.61/3.89 (define @t1045 () (tptp.hBOOL (tptp.hAPP @t1021 @t1023))) % 3.61/3.89 (define @t1046 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t96)) % 3.61/3.89 (define @t1047 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP @t1041 @t1023)) @t1025)) @t1042))) % 3.61/3.89 (define @t1048 () (@list @t119 @t49 @t1025 @t1023 @t96)) % 3.61/3.89 (define @t1049 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 3.61/3.89 (define @t1050 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.61/3.89 (define @t1051 () (tptp.tc_fun tptp.tc_Nat_Onat @t1050)) % 3.61/3.89 (define @t1052 () (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat @t23 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t1049 @t1049) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1051 (tptp.tc_fun @t1049 @t1049) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1049 @t1051 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1050 tptp.tc_Nat_Onat) tptp.c_fconj)) @t581))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1049 @t1049 tptp.tc_Nat_Onat) @t740) (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t581))) @t2)) % 3.61/3.89 (define @t1053 () (@list @t2 @t23)) % 3.61/3.89 (define @t1054 () (tptp.hAPP @t537 @t3)) % 3.61/3.89 (define @t1055 () (tptp.c_Polynomial_Opos__poly @t37 @t49)) % 3.61/3.89 (define @t1056 () (tptp.c_Polynomial_Opos__poly @t37 @t36)) % 3.61/3.89 (define @t1057 () (@list @t49 @t36 @t37)) % 3.61/3.89 (define @t1058 () (@var "B_i" $$unsorted)) % 3.61/3.89 (define @t1059 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t302)) % 3.61/3.89 (define @t1060 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t247)) % 3.61/3.89 (define @t1061 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t282)) % 3.61/3.89 (define @t1062 () (tptp.hAPP @t545 @t1061)) % 3.61/3.89 (define @t1063 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1062)) % 3.61/3.89 (define @t1064 () (tptp.hAPP @t545 (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t596))) % 3.61/3.89 (define @t1065 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1064)) % 3.61/3.89 (define @t1066 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t128)) % 3.61/3.89 (define @t1067 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t130)) % 3.61/3.89 (define @t1068 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t280)) % 3.61/3.89 (define @t1069 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t23 @t280)) % 3.61/3.89 (define @t1070 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t23 @t302)) % 3.61/3.89 (define @t1071 () (@list @t280 @t302 @t23)) % 3.61/3.89 (define @t1072 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t48)) % 3.61/3.89 (define @t1073 () (tptp.hAPP (tptp.hAPP @t369 @t1060) @t282)) % 3.61/3.89 (define @t1074 () (tptp.hAPP (tptp.hAPP @t639 @t247) @t282)) % 3.61/3.89 (define @t1075 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t1074)) % 3.61/3.89 (define @t1076 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t1067) @t1066))) % 3.61/3.89 (define @t1077 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t247)) % 3.61/3.89 (define @t1078 () (tptp.class_Rings_Osemiring__1 @t37)) % 3.61/3.89 (define @t1079 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t351)) % 3.61/3.89 (define @t1080 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t155)) % 3.61/3.89 (define @t1081 () (tptp.hAPP (tptp.hAPP @t372 @t1060) @t1061)) % 3.61/3.89 (define @t1082 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t559)) % 3.61/3.89 (define @t1083 () (and @t520 @t640)) % 3.61/3.89 (define @t1084 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t326)) % 3.61/3.89 (define @t1085 () (tptp.hAPP @t537 @t1060)) % 3.61/3.89 (define @t1086 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t377)) % 3.61/3.89 (define @t1087 () (tptp.hBOOL (tptp.hAPP @t508 (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t3)))) % 3.61/3.89 (define @t1088 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t147)) % 3.61/3.89 (define @t1089 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t282)) % 3.61/3.89 (define @t1090 () (tptp.c_Orderings_Oord__class_Oless @t37 @t1077)) % 3.61/3.89 (define @t1091 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1059)) % 3.61/3.89 (define @t1092 () (tptp.hBOOL (tptp.hAPP @t1090 @t1089))) % 3.61/3.89 (define @t1093 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t396)) % 3.61/3.89 (define @t1094 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1068)) % 3.61/3.89 (define @t1095 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP tptp.c_Nat_OSuc @t377))) % 3.61/3.89 (define @t1096 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t824)) % 3.61/3.89 (define @t1097 () (=> @t825 (= @t1096 @t154))) % 3.61/3.89 (define @t1098 () (@list @t212 @t302)) % 3.61/3.89 (define @t1099 () (@list @t280 @t23)) % 3.61/3.89 (define @t1100 () (tptp.hAPP @t372 @t1093)) % 3.61/3.89 (define @t1101 () (and (=> @t932 (= @t244 @t1059)) (=> (not @t932) @t640))) % 3.61/3.89 (define @t1102 () (@list @t302 @t244)) % 3.61/3.89 (define @t1103 () (tptp.class_Rings_Osemiring__1 @t23)) % 3.61/3.89 (define @t1104 () (@var "V_inc_2" $$unsorted)) % 3.61/3.89 (define @t1105 () (tptp.c_Int_Oring__1__class_Oof__int @t37 @t396)) % 3.61/3.89 (define @t1106 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t396) @t555))) % 3.61/3.89 (define @t1107 () (tptp.c_Int_Oring__1__class_Oof__int @t23 @t212)) % 3.61/3.89 (define @t1108 () (tptp.c_Int_Oring__1__class_Oof__int @t23 @t244)) % 3.61/3.89 (define @t1109 () (@list @t212 @t244 @t23)) % 3.61/3.89 (define @t1110 () (tptp.c_Int_Oring__1__class_Oof__int @t37 @t154)) % 3.61/3.89 (define @t1111 () (@list @t154 @t37)) % 3.61/3.89 (define @t1112 () (tptp.c_Int_Oring__1__class_Oof__int @t37 @t530)) % 3.61/3.89 (define @t1113 () (@list @t154 @t530 @t37)) % 3.61/3.89 (define @t1114 () (= @t212 @t555)) % 3.61/3.89 (define @t1115 () (@list @t212 @t23)) % 3.61/3.89 (define @t1116 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 3.61/3.89 (define @t1117 () (tptp.hAPP @t1116 @t282)) % 3.61/3.89 (define @t1118 () (tptp.hAPP @t1117 @t351)) % 3.61/3.89 (define @t1119 () (tptp.c_Groups_Ominus__class_Ominus @t37)) % 3.61/3.89 (define @t1120 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 3.61/3.89 (define @t1121 () (tptp.hAPP @t1116 @t717)) % 3.61/3.89 (define @t1122 () (tptp.hAPP @t1121 @t247)) % 3.61/3.89 (define @t1123 () (tptp.hAPP @t1121 @t282)) % 3.61/3.89 (define @t1124 () (@list @t717 @t282 @t247)) % 3.61/3.89 (define @t1125 () (tptp.hAPP @t1116 @t588)) % 3.61/3.89 (define @t1126 () (tptp.hAPP @t1116 @t247)) % 3.61/3.89 (define @t1127 () (tptp.hAPP @t1126 @t282)) % 3.61/3.89 (define @t1128 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1127)) % 3.61/3.89 (define @t1129 () (tptp.hAPP @t1116 @t280)) % 3.61/3.89 (define @t1130 () (= (tptp.hAPP @t648 @t1127) @t247)) % 3.61/3.89 (define @t1131 () (@var "V_j_2" $$unsorted)) % 3.61/3.89 (define @t1132 () (tptp.hAPP (tptp.hAPP @t324 @t991) @t540)) % 3.61/3.89 (define @t1133 () (tptp.hAPP @t1116 @t1131)) % 3.61/3.89 (define @t1134 () (tptp.hAPP @t1133 @t540)) % 3.61/3.89 (define @t1135 () (@list @t540 @t1131 @t991)) % 3.61/3.89 (define @t1136 () (tptp.c_Groups_Ominus__class_Ominus @t23)) % 3.61/3.89 (define @t1137 () (tptp.hAPP (tptp.hAPP @t1136 @t30) @t29)) % 3.61/3.89 (define @t1138 () (= @t1137 (tptp.hAPP (tptp.hAPP @t1136 @t166) @t169))) % 3.61/3.89 (define @t1139 () (tptp.hAPP @t1129 @t540)) % 3.61/3.89 (define @t1140 () (tptp.hAPP @t1116 @t302)) % 3.61/3.89 (define @t1141 () (tptp.hAPP @t1140 @t540)) % 3.61/3.89 (define @t1142 () (tptp.hBOOL (tptp.hAPP @t808 @t280))) % 3.61/3.89 (define @t1143 () (tptp.hBOOL (tptp.hAPP @t808 @t302))) % 3.61/3.89 (define @t1144 () (tptp.hAPP @t1119 @t48)) % 3.61/3.89 (define @t1145 () (tptp.hAPP @t66 (tptp.hAPP @t1144 @t44))) % 3.61/3.89 (define @t1146 () (tptp.hAPP @t1145 @t96)) % 3.61/3.89 (define @t1147 () (tptp.hAPP @t1119 @t155)) % 3.61/3.89 (define @t1148 () (tptp.hAPP @t1147 @t96)) % 3.61/3.89 (define @t1149 () (tptp.hAPP (tptp.hAPP @t1119 @t156) @t98)) % 3.61/3.89 (define @t1150 () (@list @t96 @t44 @t155 @t48 @t37)) % 3.61/3.89 (define @t1151 () (@var "V_e_2" $$unsorted)) % 3.61/3.89 (define @t1152 () (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t133 @t1137) @t1151)) @t166)) % 3.61/3.89 (define @t1153 () (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t167 @t1151)) @t169)) % 3.61/3.89 (define @t1154 () (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t170 @t1151)) @t166)) % 3.61/3.89 (define @t1155 () (= @t1154 @t1153)) % 3.61/3.89 (define @t1156 () (tptp.class_Rings_Oring @t23)) % 3.61/3.89 (define @t1157 () (@list @t169 @t29 @t166 @t1151 @t30 @t23)) % 3.61/3.89 (define @t1158 () (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP (tptp.hAPP @t1136 @t29) @t30)) @t1151)) @t169)) % 3.61/3.89 (define @t1159 () (tptp.hAPP @t1119 @t44)) % 3.61/3.89 (define @t1160 () (tptp.hAPP @t1159 @t96)) % 3.61/3.89 (define @t1161 () (= @t1160 (tptp.hAPP @t69 @t294))) % 3.61/3.89 (define @t1162 () (tptp.hAPP @t1144 @t155)) % 3.61/3.89 (define @t1163 () (tptp.hAPP @t1140 @t280)) % 3.61/3.89 (define @t1164 () (= @t1127 @t147)) % 3.61/3.89 (define @t1165 () (tptp.hAPP @t1116 @t594)) % 3.61/3.89 (define @t1166 () (tptp.hAPP @t1165 @t282)) % 3.61/3.89 (define @t1167 () (tptp.hBOOL (tptp.hAPP @t1003 @t247))) % 3.61/3.89 (define @t1168 () (tptp.hBOOL (tptp.hAPP @t1003 @t1127))) % 3.61/3.89 (define @t1169 () (tptp.hAPP @t1125 @t396)) % 3.61/3.89 (define @t1170 () (tptp.hAPP (tptp.hAPP @t324 @t1169) @t590)) % 3.61/3.89 (define @t1171 () (tptp.hAPP (tptp.hAPP @t1116 @t892) @t396)) % 3.61/3.89 (define @t1172 () (tptp.hBOOL (tptp.hAPP @t719 @t588))) % 3.61/3.89 (define @t1173 () (@list @t590 @t588 @t396)) % 3.61/3.89 (define @t1174 () (tptp.hAPP @t714 @t1169)) % 3.61/3.89 (define @t1175 () (tptp.hAPP (tptp.hAPP @t1116 @t746) @t396)) % 3.61/3.89 (define @t1176 () (tptp.hAPP @t1133 @t991)) % 3.61/3.89 (define @t1177 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t991)) % 3.61/3.89 (define @t1178 () (tptp.hBOOL (tptp.hAPP @t1177 @t1131))) % 3.61/3.89 (define @t1179 () (tptp.hAPP @t1116 @t679)) % 3.61/3.89 (define @t1180 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1131)) % 3.61/3.89 (define @t1181 () (tptp.hAPP @t1116 @t590)) % 3.61/3.89 (define @t1182 () (tptp.hAPP @t1116 @t596)) % 3.61/3.89 (define @t1183 () (tptp.hAPP @t1126 @t351)) % 3.61/3.89 (define @t1184 () (tptp.hAPP @t1181 @t588)) % 3.61/3.89 (define @t1185 () (tptp.hAPP (tptp.hAPP @t1116 @t1184) @t396)) % 3.61/3.89 (define @t1186 () (@var "V_B_2" $$unsorted)) % 3.61/3.89 (define @t1187 () (tptp.c_Groups_Ominus__class_Ominus @t61)) % 3.61/3.89 (define @t1188 () (tptp.hAPP (tptp.hAPP @t1187 @t36) @t49)) % 3.61/3.89 (define @t1189 () (tptp.hAPP @t1187 @t102)) % 3.61/3.89 (define @t1190 () (tptp.hAPP @t1116 @t723)) % 3.61/3.89 (define @t1191 () (tptp.hAPP @t887 @t247)) % 3.61/3.89 (define @t1192 () (tptp.hAPP @t1119 @t96)) % 3.61/3.89 (define @t1193 () (tptp.hAPP @t66 @t1162)) % 3.61/3.89 (define @t1194 () (tptp.hAPP @t1119 @t98)) % 3.61/3.89 (define @t1195 () (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t166)) % 3.61/3.89 (define @t1196 () (= @t1137 @t111)) % 3.61/3.89 (define @t1197 () (@list @t247 @t282 @t37)) % 3.61/3.89 (define @t1198 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t1154) @t1153))) % 3.61/3.89 (define @t1199 () (tptp.class_Rings_Oordered__ring @t23)) % 3.61/3.89 (define @t1200 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t1154) @t1153))) % 3.61/3.89 (define @t1201 () (@var "V_D_2" $$unsorted)) % 3.61/3.89 (define @t1202 () (tptp.hAPP @t400 @t169)) % 3.61/3.89 (define @t1203 () (@var "B_d" $$unsorted)) % 3.61/3.89 (define @t1204 () (tptp.hBOOL (tptp.hAPP @t508 @t1203))) % 3.61/3.89 (define @t1205 () (= @t30 (tptp.hAPP (tptp.hAPP @t324 @t29) @t1203))) % 3.61/3.89 (define @t1206 () (@list @t1203)) % 3.61/3.89 (define @t1207 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30) @t29))) % 3.61/3.89 (define @t1208 () (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP (tptp.hAPP @t1116 @t30) @t29)))) % 3.61/3.89 (define @t1209 () (@list @t29 @t30 @t508)) % 3.61/3.89 (define @t1210 () (tptp.hAPP tptp.c_Nat_OSuc @t588)) % 3.61/3.89 (define @t1211 () (tptp.hAPP tptp.c_Nat_OSuc @t1169)) % 3.61/3.89 (define @t1212 () (@list @t247 @t588 @t396)) % 3.61/3.89 (define @t1213 () (@var "V_u_2" $$unsorted)) % 3.61/3.89 (define @t1214 () (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 (tptp.hAPP (tptp.hAPP @t1116 @t991) @t1131)) @t1213)) @t302)) % 3.61/3.89 (define @t1215 () (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 @t1131) @t1213)) @t280)) % 3.61/3.89 (define @t1216 () (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 @t991) @t1213)) @t302)) % 3.61/3.89 (define @t1217 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1216) @t1215))) % 3.61/3.89 (define @t1218 () (tptp.hBOOL (tptp.hAPP @t1180 @t991))) % 3.61/3.89 (define @t1219 () (@list @t280 @t302 @t1213 @t991 @t1131)) % 3.61/3.89 (define @t1220 () (tptp.hAPP (tptp.hAPP @t1116 (tptp.hAPP @t748 @t247)) (tptp.hAPP @t747 @t282))) % 3.61/3.89 (define @t1221 () (= @t1216 @t1215)) % 3.61/3.89 (define @t1222 () (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 @t1176) @t1213)) @t280)) % 3.61/3.89 (define @t1223 () (@list @t280 @t302 @t1213 @t1131 @t991)) % 3.61/3.89 (define @t1224 () (tptp.hAPP tptp.c_Nat_OSuc @t1118)) % 3.61/3.89 (define @t1225 () (not @t574)) % 3.61/3.89 (define @t1226 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1216) @t1215))) % 3.61/3.89 (define @t1227 () (tptp.hAPP @t639 @t36)) % 3.61/3.89 (define @t1228 () (tptp.hAPP @t1227 @t247)) % 3.61/3.89 (define @t1229 () (tptp.hAPP @t342 @t247)) % 3.61/3.89 (define @t1230 () (tptp.hAPP @t1229 @t282)) % 3.61/3.89 (define @t1231 () (tptp.hAPP @t631 @t629)) % 3.61/3.89 (define @t1232 () (tptp.hAPP (tptp.hAPP @t1120 @t154) @t530)) % 3.61/3.89 (define @t1233 () (tptp.hAPP @t541 @t396)) % 3.61/3.89 (define @t1234 () (@var "T" $$unsorted)) % 3.61/3.89 (define @t1235 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1234)) % 3.61/3.89 (define @t1236 () (tptp.class_Rings_Oidom @t1234)) % 3.61/3.89 (define @t1237 () (@list @t1234)) % 3.61/3.89 (define @t1238 () (forall @t1237 (=> @t1236 @t1235))) % 3.61/3.89 (define @t1239 () (tptp.class_Rings_Oring__no__zero__divisors @t1234)) % 3.61/3.89 (define @t1240 () (forall @t1237 (=> @t1236 @t1239))) % 3.61/3.89 (define @t1241 () (tptp.class_Rings_Ocomm__semiring__0 @t1234)) % 3.61/3.89 (define @t1242 () (forall @t1237 (=> @t1236 @t1241))) % 3.61/3.89 (define @t1243 () (@var "T_1" $$unsorted)) % 3.61/3.89 (define @t1244 () (tptp.tc_Polynomial_Opoly @t1243)) % 3.61/3.89 (define @t1245 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1243)) % 3.61/3.89 (define @t1246 () (@list @t1243)) % 3.61/3.89 (define @t1247 () (@var "T_2" $$unsorted)) % 3.61/3.89 (define @t1248 () (tptp.tc_fun @t1247 @t1243)) % 3.61/3.89 (define @t1249 () (@list @t1247 @t1243)) % 3.61/3.89 (define @t1250 () (tptp.class_Rings_Oidom @t1243)) % 3.61/3.89 (define @t1251 () (tptp.class_Rings_Olinordered__idom @t1243)) % 3.61/3.89 (define @t1252 () (tptp.class_Rings_Ocomm__semiring__0 @t1243)) % 3.61/3.89 (define @t1253 () (tptp.class_Rings_Ocomm__semiring__1 @t1243)) % 3.61/3.89 (define @t1254 () (tptp.class_Groups_Ocomm__monoid__add @t1243)) % 3.61/3.89 (define @t1255 () (tptp.class_Groups_Oab__group__add @t1243)) % 3.61/3.89 (define @t1256 () (tptp.class_Rings_Ocomm__ring__1 @t1243)) % 3.61/3.89 (define @t1257 () (tptp.class_Rings_Ocomm__ring @t1243)) % 3.61/3.89 (define @t1258 () (@var "V_P" $$unsorted)) % 3.61/3.89 (define @t1259 () (@var "V_Q" $$unsorted)) % 3.61/3.89 (define @t1260 () (@var "V_R_2" $$unsorted)) % 3.61/3.89 (define @t1261 () (@var "V_Q_2" $$unsorted)) % 3.61/3.89 (define @t1262 () (tptp.hAPP @t1261 @t1260)) % 3.61/3.89 (define @t1263 () (@var "T_d" $$unsorted)) % 3.61/3.89 (define @t1264 () (tptp.hAPP @t508 @t1260)) % 3.61/3.89 (define @t1265 () (@list @t1260 @t1261 @t508 @t23 @t1263 @t56)) % 3.61/3.89 (define @t1266 () (@var "V_y_2" $$unsorted)) % 3.61/3.89 (define @t1267 () (@var "V_x_2" $$unsorted)) % 3.61/3.89 (define @t1268 () (= @t1267 @t1266)) % 3.61/3.89 (define @t1269 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t1267) @t1266))) % 3.61/3.89 (define @t1270 () (@list @t1266 @t1267)) % 3.61/3.89 (define @t1271 () (tptp.hBOOL @t508)) % 3.61/3.89 (define @t1272 () (not @t1271)) % 3.61/3.89 (define @t1273 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t508))) % 3.61/3.89 (define @t1274 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t508) @t1261))) % 3.61/3.89 (define @t1275 () (tptp.hBOOL @t1261)) % 3.61/3.89 (define @t1276 () (@list @t1261 @t508)) % 3.61/3.89 (define @t1277 () (not @t1274)) % 3.61/3.89 (define @t1278 () (tptp.hAPP @t19 tptp.v_y____)) % 3.61/3.89 (define @t1279 () (tptp.hAPP @t19 tptp.v_x____)) % 3.61/3.89 (define @t1280 () (= @t1279 @t1278)) % 3.61/3.89 (define @t1281 () (not @t1280)) % 3.61/3.89 (define @t1282 () (@list tptp.t_a)) % 3.61/3.89 (define @t1283 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 3.61/3.89 (define @t1284 () (not @t7)) % 3.61/3.89 (define @t1285 () (or @t1284 @t1283)) % 3.61/3.89 (define @t1286 () (@list false false)) % 3.61/3.89 (define @t1287 () (tptp.hAPP @t10 tptp.v_y____)) % 3.61/3.89 (define @t1288 () (tptp.hAPP (tptp.hAPP @t349 tptp.v_y____) @t1287)) % 3.61/3.89 (define @t1289 () (tptp.hAPP @t350 tptp.v_c____)) % 3.61/3.89 (define @t1290 () (tptp.hAPP @t1289 @t1288)) % 3.61/3.89 (define @t1291 () (= @t1278 @t1290)) % 3.61/3.89 (define @t1292 () (not @t1283)) % 3.61/3.89 (define @t1293 () (or @t1292 @t1291)) % 3.61/3.89 (define @t1294 () (tptp.hAPP @t10 tptp.v_x____)) % 3.61/3.89 (define @t1295 () (tptp.hAPP (tptp.hAPP @t349 tptp.v_x____) @t1294)) % 3.61/3.89 (define @t1296 () (tptp.hAPP @t1289 @t1295)) % 3.61/3.89 (define @t1297 () (= @t1279 @t1296)) % 3.61/3.89 (define @t1298 () (or @t1292 @t1297)) % 3.61/3.89 (define @t1299 () (= @t112 @t238)) % 3.61/3.89 (define @t1300 () (= tptp.v_c____ @t1296)) % 3.61/3.89 (define @t1301 () (= (= @t1295 @t8) @t1300)) % 3.61/3.89 (define @t1302 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.t_a)) % 3.61/3.89 (define @t1303 () (not @t1302)) % 3.61/3.89 (define @t1304 () (or @t1303 @t1301)) % 3.61/3.89 (define @t1305 () (forall @t240 (or (not @t173) @t1299))) % 3.61/3.89 (define @t1306 () (= @t8 @t1295)) % 3.61/3.89 (define @t1307 () (= @t1306 @t1300)) % 3.61/3.89 (define @t1308 () (or @t1303 @t1307)) % 3.61/3.89 (define @t1309 () (@list false)) % 3.61/3.89 (define @t1310 () (@list @t1305)) % 3.61/3.89 (define @t1311 () (or @t1284 @t1302)) % 3.61/3.89 (define @t1312 () (= @t111 @t226)) % 3.61/3.89 (define @t1313 () (= @t225 @t1312)) % 3.61/3.89 (define @t1314 () (= tptp.v_x____ @t8)) % 3.61/3.89 (define @t1315 () (or @t1314 (= @t1294 @t8))) % 3.61/3.89 (define @t1316 () (tptp.class_Rings_Oring__no__zero__divisors tptp.t_a)) % 3.61/3.89 (define @t1317 () (not @t1316)) % 3.61/3.89 (define @t1318 () (or @t1317 (= @t1315 @t1306))) % 3.61/3.89 (define @t1319 () (forall @t230 (or (not @t228) @t1313))) % 3.61/3.89 (define @t1320 () (= @t8 @t1294)) % 3.61/3.89 (define @t1321 () (or (= @t8 tptp.v_x____) @t1320)) % 3.61/3.89 (define @t1322 () (= @t1306 @t1321)) % 3.61/3.89 (define @t1323 () (or @t1317 @t1322)) % 3.61/3.89 (define @t1324 () (@list @t1319)) % 3.61/3.89 (define @t1325 () (or @t1284 @t1316)) % 3.61/3.89 (define @t1326 () (= @t8 @t11)) % 3.61/3.89 (define @t1327 () (forall @t15 (or @t12 @t1326))) % 3.61/3.89 (define @t1328 () (or @t1314 @t1320)) % 3.61/3.89 (define @t1329 () (@list @t1327)) % 3.61/3.89 (define @t1330 () (= tptp.v_c____ @t1290)) % 3.61/3.89 (define @t1331 () (= (= @t1288 @t8) @t1330)) % 3.61/3.89 (define @t1332 () (or @t1303 @t1331)) % 3.61/3.89 (define @t1333 () (= @t8 @t1288)) % 3.61/3.89 (define @t1334 () (= @t1333 @t1330)) % 3.61/3.89 (define @t1335 () (or @t1303 @t1334)) % 3.61/3.89 (define @t1336 () (= tptp.v_y____ @t8)) % 3.61/3.89 (define @t1337 () (or @t1336 (= @t1287 @t8))) % 3.61/3.89 (define @t1338 () (or @t1317 (= @t1337 @t1333))) % 3.61/3.89 (define @t1339 () (= @t8 @t1287)) % 3.61/3.89 (define @t1340 () (or (= @t8 tptp.v_y____) @t1339)) % 3.61/3.89 (define @t1341 () (= @t1333 @t1340)) % 3.61/3.89 (define @t1342 () (or @t1317 @t1341)) % 3.61/3.89 (define @t1343 () (or @t1336 @t1339)) % 3.61/3.89 (define @t1344 () (not @t1330)) % 3.61/3.89 (define @t1345 () (not @t1300)) % 3.61/3.89 (define @t1346 () (not @t1297)) % 3.61/3.89 (define @t1347 () (not @t1291)) % 3.61/3.89 (define @t1348 () (and @t1281 @t1291 @t1297 @t1300)) % 3.61/3.89 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 3.61/3.89 (assume @p2 (=> @t7 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.t_a tptp.t_a (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_p))))) % 3.61/3.89 (assume @p3 @t17) % 3.61/3.89 (assume @p4 (=> @t7 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.t_a tptp.t_a @t19)))) % 3.61/3.89 (assume @p5 (forall @t28 (=> @t27 (= (= @t24 (tptp.c_Polynomial_Opoly @t23 @t20)) @t22)))) % 3.61/3.89 (assume @p6 (forall (@list @t20 @t29 @t21 @t30 @t23) (=> @t34 (= (= @t33 (tptp.hAPP (tptp.hAPP @t32 @t29) @t20)) (and @t31 @t22))))) % 3.61/3.89 (assume @p7 (forall (@list @t35 @t36 @t44 @t37) (=> @t47 (= (tptp.c_Polynomial_Osynthetic__div @t37 @t46 @t35) @t43)))) % 3.61/3.89 (assume @p8 (forall @t52 (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t51) @t48) (tptp.hAPP @t39 @t50))))) % 3.61/3.89 (assume @p9 (forall (@list @t2 @t56 @t23) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t23 @t56 @t2) (forall @t55 (= @t5 @t54))))) % 3.61/3.89 (assume @p10 (forall @t60 (=> @t59 (not (forall (@list @t58 @t57) (not (= @t36 (tptp.hAPP (tptp.hAPP @t41 @t58) @t57)))))))) % 3.61/3.89 (assume @p11 (forall (@list @t64 @t44 @t37) (=> @t47 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t37 @t63 @t64) @t63)))) % 3.61/3.89 (assume @p12 @t72) % 3.61/3.89 (assume @p13 (forall (@list @t48 @t64 @t36 @t37) (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t73) @t48) (tptp.hAPP @t39 (tptp.hAPP (tptp.hAPP @t68 @t64) @t48)))))) % 3.61/3.89 (assume @p14 (forall @t77 (=> @t27 (= (= @t24 (tptp.c_Polynomial_Opoly @t23 @t75)) @t76)))) % 3.61/3.89 (assume @p15 (forall (@list @t35 @t36 @t37) (=> @t47 (= (tptp.hAPP @t81 (tptp.hAPP @t79 @t38)) @t43)))) % 3.61/3.89 (assume @p16 (forall @t84 (=> @t59 (= (tptp.hAPP @t83 @t62) @t62)))) % 3.61/3.89 (assume @p17 (forall @t85 (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t62) @t48) @t82)))) % 3.61/3.89 (assume @p18 (forall @t60 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t78 @t82) @t36) @t62)))) % 3.61/3.89 (assume @p19 (forall @t86 (=> @t47 (= (tptp.c_Polynomial_Opcompose @t37 @t62 @t49) @t62)))) % 3.61/3.89 (assume @p20 (forall @t86 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t87 @t62) @t49) @t62)))) % 3.61/3.89 (assume @p21 (forall (@list @t35 @t37) (=> @t47 (= (tptp.c_Polynomial_Osynthetic__div @t37 @t62 @t35) @t62)))) % 3.61/3.89 (assume @p22 (forall (@list @t64 @t37) (=> @t47 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t37 @t62 @t64) @t62)))) % 3.61/3.89 (assume @p23 (forall @t86 (=> @t88 (= (tptp.hAPP (tptp.hAPP @t80 @t62) @t49) @t49)))) % 3.61/3.89 (assume @p24 (forall @t90 (=> @t47 (= (tptp.hAPP @t89 @t62) @t62)))) % 3.61/3.89 (assume @p25 (forall @t60 (=> @t47 (= (tptp.hAPP @t91 @t62) @t62)))) % 3.61/3.89 (assume @p26 (forall @t60 (=> @t88 (= (tptp.hAPP @t81 @t62) @t36)))) % 3.61/3.89 (assume @p27 (forall @t95 (=> @t47 (= (tptp.hAPP @t91 @t94) @t93)))) % 3.61/3.89 (assume @p28 (forall @t100 (=> @t47 (= (tptp.hAPP @t89 @t99) (tptp.hAPP (tptp.hAPP @t78 @t98) @t36))))) % 3.61/3.89 (assume @p29 (forall @t95 (=> @t47 (= (tptp.hAPP @t91 (tptp.hAPP @t45 @t49)) (tptp.hAPP @t103 @t101))))) % 3.61/3.89 (assume @p30 (forall @t100 (=> @t47 (= (tptp.hAPP @t89 (tptp.hAPP @t104 @t36)) (tptp.hAPP (tptp.hAPP @t41 @t98) @t102))))) % 3.61/3.89 (assume @p31 (forall @t106 (=> @t47 (= (tptp.hAPP @t89 @t105) (tptp.hAPP @t103 @t94))))) % 3.61/3.89 (assume @p32 (forall @t110 (=> @t109 (= (= @t108 @t75) @t76)))) % 3.61/3.89 (assume @p33 (forall @t113 (=> @t34 (= (= @t33 @t75) (and @t112 @t76))))) % 3.61/3.89 (assume @p34 (forall @t113 (=> @t25 (= (= @t116 @t75) (or @t112 @t76))))) % 3.61/3.89 (assume @p35 (forall @t71 (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t102) @t48) (tptp.hAPP @t97 @t65))))) % 3.61/3.89 (assume @p36 (forall @t106 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t87 @t102) @t49) @t93)))) % 3.61/3.89 (assume @p37 (forall @t106 (=> @t47 (= (tptp.c_Polynomial_Opcompose @t37 @t46 @t49) (tptp.hAPP (tptp.hAPP @t80 @t63) (tptp.hAPP @t117 @t51)))))) % 3.61/3.89 (assume @p38 (forall @t106 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t87 @t46) @t49) (tptp.hAPP (tptp.hAPP @t80 @t94) @t101))))) % 3.61/3.89 (assume @p39 (forall @t52 (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t105) @t48) (tptp.hAPP (tptp.hAPP @t68 @t65) @t50))))) % 3.61/3.89 (assume @p40 (forall @t52 (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t92) @t48) (tptp.hAPP (tptp.hAPP @t66 @t65) @t50))))) % 3.61/3.89 (assume @p41 (forall @t100 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t78 @t118) @t36) (tptp.hAPP @t103 @t99))))) % 3.61/3.89 (assume @p42 (forall (@list @t119 @t49 @t36 @t37) (=> @t47 (= (tptp.hAPP (tptp.hAPP @t87 @t105) @t119) (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP @t91 @t119)) (tptp.hAPP @t117 @t119)))))) % 3.61/3.89 (assume @p43 (forall @t121 (=> @t88 (= (tptp.hAPP (tptp.hAPP @t80 @t46) @t120) (tptp.hAPP (tptp.hAPP @t41 @t118) @t105))))) % 3.61/3.89 (assume @p44 (forall @t124 (=> @t47 (=> (= @t123 @t46) @t122)))) % 3.61/3.89 (assume @p45 (forall @t124 (=> @t47 (=> (= (tptp.hAPP (tptp.hAPP @t80 @t123) @t46) @t62) @t122)))) % 3.61/3.89 (assume @p46 (forall (@list @t64 @t36 @t44 @t37) (=> @t47 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t37 @t46 @t64) (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t78 @t64) @t73)) (tptp.hAPP @t45 @t73)))))) % 3.61/3.89 (assume @p47 (forall (@list @t119 @t49 @t35 @t36 @t37) (=> @t47 (=> (= (tptp.hAPP @t81 (tptp.hAPP @t79 @t49)) (tptp.hAPP (tptp.hAPP @t41 @t119) @t49)) (and (= @t119 @t40) (= @t49 @t38)))))) % 3.61/3.89 (assume @p48 (forall @t110 (=> @t109 (= @t108 (tptp.c_Polynomial_Opoly__rec @t74 @t23 @t75 (tptp.hAPP @t127 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t126 @t126 @t23) (tptp.hAPP (tptp.c_COMBS @t74 @t74 @t74) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 @t126 @t74) @t125) (tptp.hAPP @t114 @t107)))) @t32)) @t21))))) % 3.61/3.89 (assume @p49 (forall @t139 (=> @t138 (= (= @t137 @t111) @t132)))) % 3.61/3.89 (assume @p50 (forall (@list @t140 @t35 @t96 @t44 @t119 @t37) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t37) (=> (not (= @t119 @t82)) (=> (and @t143 (not (= @t35 @t140))) (not (= (tptp.hAPP @t69 (tptp.hAPP @t141 @t35)) (tptp.hAPP @t142 (tptp.hAPP @t141 @t140))))))))) % 3.61/3.89 (assume @p51 (forall @t28 (=> @t109 (= (tptp.hAPP (tptp.hAPP @t146 @t21) @t20) (tptp.c_Polynomial_Opoly__rec @t74 @t23 @t75 (tptp.hAPP @t127 (tptp.hAPP (tptp.c_COMBC @t23 @t126 @t126 (tptp.hAPP @t145 (tptp.hAPP @t144 (tptp.hAPP (tptp.c_COMBC @t23 @t74 @t74 @t114) @t20)))) (tptp.hAPP @t32 @t111))) @t21))))) % 3.61/3.89 (assume @p52 (forall @t28 (=> @t109 (= (tptp.c_Polynomial_Opcompose @t23 @t21 @t20) (tptp.c_Polynomial_Opoly__rec @t74 @t23 @t75 (tptp.hAPP @t127 (tptp.hAPP (tptp.c_COMBC @t23 @t126 @t126 (tptp.hAPP @t145 (tptp.hAPP @t144 (tptp.hAPP (tptp.c_COMBC @t23 @t74 @t74 @t32) @t75)))) (tptp.hAPP @t146 @t20))) @t21))))) % 3.61/3.89 (assume @p53 (forall (@list @t30 @t21 @t23) (=> @t25 (= (= (tptp.hAPP @t24 @t30) @t111) (or @t76 (not (= @t148 @t147))))))) % 3.61/3.89 (assume @p54 (forall @t153 (=> @t152 (= (tptp.hAPP @t97 (tptp.hAPP @t142 @t149)) (tptp.hAPP @t151 @t150))))) % 3.61/3.89 (assume @p55 (forall @t158 (=> @t157 (= (tptp.hAPP @t67 (tptp.hAPP (tptp.hAPP @t68 @t155) @t154)) (tptp.hAPP (tptp.hAPP @t68 @t156) (tptp.hAPP @t67 @t154)))))) % 3.61/3.89 (assume @p56 (forall @t165 (=> @t152 (= (tptp.hAPP @t160 @t164) (tptp.hAPP (tptp.hAPP @t68 @t162) @t161))))) % 3.61/3.89 (assume @p57 (forall @t174 (=> @t173 (= (and (not @t31) (not @t172)) (not (= (tptp.hAPP (tptp.hAPP @t136 @t171) (tptp.hAPP @t167 @t169)) (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t170 @t169)) @t168))))))) % 3.61/3.89 (assume @p58 (forall @t180 (=> (tptp.class_Rings_Ocomm__semiring @t37) @t179))) % 3.61/3.89 (assume @p59 (forall @t180 (=> @t157 @t179))) % 3.61/3.89 (assume @p60 (forall @t192 (=> @t157 (= @t191 (tptp.hAPP @t187 (tptp.hAPP @t183 @t181)))))) % 3.61/3.89 (assume @p61 (forall @t192 (=> @t157 (= @t191 (tptp.hAPP @t188 (tptp.hAPP @t190 @t181)))))) % 3.61/3.89 (assume @p62 (forall @t192 (=> @t157 (= @t191 (tptp.hAPP @t186 (tptp.hAPP @t183 @t189)))))) % 3.61/3.89 (assume @p63 (forall @t194 (=> @t157 (= @t193 (tptp.hAPP @t187 @t182))))) % 3.61/3.89 (assume @p64 (forall @t194 (=> @t157 (= @t193 (tptp.hAPP @t186 (tptp.hAPP @t183 @t184)))))) % 3.61/3.89 (assume @p65 (forall @t196 (=> @t157 (= @t195 (tptp.hAPP @t187 @t181))))) % 3.61/3.89 (assume @p66 (forall @t196 (=> @t157 (= @t195 (tptp.hAPP @t188 (tptp.hAPP @t186 @t181)))))) % 3.61/3.89 (assume @p67 (forall @t198 (=> @t157 (= @t98 @t197)))) % 3.61/3.89 (assume @p68 (forall @t205 (=> @t157 (= (tptp.hAPP @t204 @t203) (tptp.hAPP @t201 @t199))))) % 3.61/3.89 (assume @p69 (forall @t180 (=> @t157 (= @t206 (tptp.hAPP @t201 @t96))))) % 3.61/3.89 (assume @p70 (forall @t180 (=> @t157 @t208))) % 3.61/3.89 (assume @p71 (forall @t210 (=> @t157 (= @t209 (tptp.hAPP @t201 @t140))))) % 3.61/3.89 (assume @p72 (forall @t210 (=> @t157 (= @t209 (tptp.hAPP @t202 (tptp.hAPP @t69 @t140)))))) % 3.61/3.89 (assume @p73 (forall (@list @t35 @t44 @t37) (=> @t157 (= @t200 @t211)))) % 3.61/3.89 (assume @p74 (forall (@list @t23 @t212 @t2 @t56) (=> @t215 (=> @t214 (= (tptp.c_Polynomial_Opoly__rec @t23 @t56 @t212 @t2 @t213) @t212))))) % 3.61/3.89 (assume @p75 (forall (@list @t21 @t30 @t2 @t212 @t23 @t56) (=> @t215 (= @t219 (tptp.hAPP @t218 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t217 (tptp.hAPP (tptp.c_fequal @t21) @t213)) @t212) @t216)))))) % 3.61/3.89 (assume @p76 (forall (@list @t21 @t30 @t23 @t212 @t2 @t56) (=> @t215 (=> @t214 (= @t219 (tptp.hAPP @t218 @t216)))))) % 3.61/3.89 (assume @p77 (forall @t198 (=> @t223 (=> @t222 (or @t221 @t220))))) % 3.61/3.89 (assume @p78 (forall @t198 (=> @t223 (=> @t224 (=> (not @t220) (not @t222)))))) % 3.61/3.89 (assume @p79 @t231) % 3.61/3.89 (assume @p80 (forall @t85 (=> @t152 (= (tptp.hAPP @t67 @t82) @t82)))) % 3.61/3.89 (assume @p81 (forall @t90 (=> @t152 @t232))) % 3.61/3.89 (assume @p82 (forall @t90 (=> @t157 @t232))) % 3.61/3.89 (assume @p83 (forall @t90 (=> @t233 @t232))) % 3.61/3.89 (assume @p84 (forall (@list @t155 @t37) (=> @t152 (= (tptp.hAPP @t234 @t155) @t82)))) % 3.61/3.89 (assume @p85 (forall (@list @t96 @t37) (=> @t152 (= (tptp.hAPP @t234 @t96) @t82)))) % 3.61/3.89 (assume @p86 (forall @t90 (=> @t157 @t235))) % 3.61/3.89 (assume @p87 (forall @t90 (=> @t233 @t235))) % 3.61/3.89 (assume @p88 @t241) % 3.61/3.89 (assume @p89 (forall @t90 (=> @t157 @t242))) % 3.61/3.89 (assume @p90 (forall @t90 (=> @t157 @t243))) % 3.61/3.89 (assume @p91 (forall (@list @t212 @t130 @t128 @t244 @t23) (=> @t173 (= (= (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t245 @t128)) (tptp.hAPP @t134 @t212)) (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP @t245 @t212)) (tptp.hAPP @t134 @t128))) (or (= @t244 @t130) (= @t128 @t212)))))) % 3.61/3.89 (assume @p92 (forall (@list @t35 @t96 @t246 @t44 @t37) (=> (tptp.class_Rings_Osemiring @t37) (= (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t97 @t246)) (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t175 @t246)) @t35)) (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t178 @t246)) @t35))))) % 3.61/3.89 (assume @p93 (forall (@list @t96 @t247 @t44 @t37) (=> @t157 (= (tptp.hAPP @t249 (tptp.hAPP @t175 @t247)) (tptp.hAPP @t178 @t247))))) % 3.61/3.89 (assume @p94 (forall @t254 (=> @t152 (= (tptp.hAPP (tptp.hAPP @t66 @t164) @t250) (tptp.hAPP (tptp.hAPP @t68 @t253) @t252))))) % 3.61/3.89 (assume @p95 (forall @t257 (=> @t152 (= (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP @t69 @t255)) @t96) (tptp.hAPP @t151 @t256))))) % 3.61/3.89 (assume @p96 (forall @t261 (=> @t260 (= (= @t259 @t111) @t112)))) % 3.61/3.89 (assume @p97 (forall @t90 (=> @t88 @t242))) % 3.61/3.89 (assume @p98 (forall @t90 (=> @t262 @t242))) % 3.61/3.89 (assume @p99 (forall @t261 (=> @t260 (= (= @t111 @t259) @t112)))) % 3.61/3.89 (assume @p100 (forall @t90 (=> @t88 @t243))) % 3.61/3.89 (assume @p101 (forall @t90 (=> @t262 @t243))) % 3.61/3.89 (assume @p102 (forall @t77 (=> @t34 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t23 @t21) @t147) @t76)))) % 3.61/3.89 (assume @p103 (forall @t90 (=> @t59 (= (tptp.c_Polynomial_Omonom @t37 @t44 @t147) @t63)))) % 3.61/3.89 (assume @p104 (forall @t263 (=> @t34 (= @t75 (tptp.c_Polynomial_OAbs__poly @t23 (tptp.hAPP (tptp.c_COMBK @t23 tptp.tc_Nat_Onat) @t111)))))) % 3.61/3.89 (assume @p105 (forall (@list @t36 @t35 @t37) (=> @t267 (= (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP @t266 @t35)) @t265)) @t38)) (tptp.hAPP @t42 @t62)) @t36)))) % 3.61/3.89 (assume @p106 (forall @t85 (=> @t267 (= @t269 (tptp.hAPP (tptp.hAPP @t66 @t268) @t48))))) % 3.61/3.89 (assume @p107 (forall @t273 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t23) (= (= @t135 @t270) (or @t272 (= @t130 (tptp.hAPP @t271 @t270))))))) % 3.61/3.89 (assume @p108 (forall @t90 (=> @t275 (= (tptp.hAPP @t266 @t274) @t44)))) % 3.61/3.89 (assume @p109 (forall @t273 (=> (tptp.class_Groups_Oone @t23) (= (= @t270 @t130) @t272)))) % 3.61/3.89 (assume @p110 (forall @t230 (=> @t279 (= @t278 (= @t29 @t276))))) % 3.61/3.89 (assume @p111 (forall @t230 (=> @t279 (= (= @t276 @t29) (= @t277 @t30))))) % 3.61/3.89 (assume @p112 (forall @t230 (=> @t279 (= (= @t276 @t277) @t31)))) % 3.61/3.89 (assume @p113 (forall (@list @t29 @t280 @t30 @t23) (=> @t34 (= (= @t281 (tptp.c_Polynomial_Omonom @t23 @t29 @t280)) @t31)))) % 3.61/3.89 (assume @p114 (forall @t286 (=> @t285 (= (tptp.hAPP @t284 @t283) (tptp.c_Polynomial_Omonom @t37 @t274 @t282))))) % 3.61/3.89 (assume @p115 (forall @t289 (=> @t285 (= (tptp.hAPP @t284 @t46) (tptp.hAPP @t288 @t287))))) % 3.61/3.89 (assume @p116 (forall (@list @t36 @t44 @t23) (=> @t291 (= (tptp.hAPP @t290 (tptp.hAPP (tptp.hAPP @t32 @t44) @t36)) (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t271 @t44)) (tptp.hAPP @t290 @t36)))))) % 3.61/3.89 (assume @p117 (forall @t84 (=> @t275 (= (tptp.hAPP @t266 @t82) @t82)))) % 3.61/3.89 (assume @p118 (forall @t261 (=> @t279 (= (= @t111 @t276) (= @t111 @t30))))) % 3.61/3.89 (assume @p119 (forall @t261 (=> @t260 (= (= @t30 @t276) @t112)))) % 3.61/3.89 (assume @p120 (forall @t261 (=> @t279 (= (= @t276 @t111) @t112)))) % 3.61/3.89 (assume @p121 (forall @t261 (=> @t260 (= (= @t276 @t30) @t112)))) % 3.61/3.89 (assume @p122 (forall @t289 (=> @t293 (= (tptp.hAPP (tptp.hAPP @t78 @t274) @t36) @t292)))) % 3.61/3.89 (assume @p123 (forall (@list @t48 @t36 @t37) (=> @t293 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t287) @t48) (tptp.hAPP @t266 @t65))))) % 3.61/3.89 (assume @p124 (forall @t198 (=> @t285 (= @t296 (tptp.hAPP @t295 @t294))))) % 3.61/3.89 (assume @p125 (forall @t198 (=> @t275 (= @t296 (tptp.hAPP (tptp.hAPP @t68 @t294) @t274))))) % 3.61/3.89 (assume @p126 (forall @t198 (=> @t275 (= (tptp.hAPP @t69 (tptp.hAPP @t295 @t96)) @t96)))) % 3.61/3.89 (assume @p127 (forall @t198 (=> @t275 (= (tptp.hAPP @t295 @t118) @t96)))) % 3.61/3.89 (assume @p128 (forall @t90 (=> @t298 @t297))) % 3.61/3.89 (assume @p129 (forall @t90 (=> @t299 @t297))) % 3.61/3.89 (assume @p130 (forall @t90 (=> @t298 @t300))) % 3.61/3.89 (assume @p131 (forall @t90 (=> @t299 @t300))) % 3.61/3.89 (assume @p132 (forall @t85 (=> @t157 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t301) @t48) @t264)))) % 3.61/3.89 (assume @p133 (forall (@list @t302 @t30 @t23) (=> @t34 (= (tptp.c_Polynomial_Omonom @t23 @t30 @t302) (tptp.c_Polynomial_OAbs__poly @t23 (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t23 @t23 (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t23 @t303 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t23 @t303) tptp.tc_Nat_Onat) @t217) (tptp.c_fequal @t302))) @t30)) @t111)))))) % 3.61/3.89 (assume @p134 (forall @t84 (=> @t157 (= @t301 @t265)))) % 3.61/3.89 (assume @p135 (forall @t198 (=> @t306 (= @t305 @t304)))) % 3.61/3.89 (assume @p136 (forall @t198 (=> @t306 (= @t305 @t308)))) % 3.61/3.89 (assume @p137 (forall @t198 (=> @t152 (= @t304 @t305)))) % 3.61/3.89 (assume @p138 (forall (@list @t48 @t159 @t37) (=> @t152 (= (tptp.hAPP @t160 @t269) (tptp.hAPP @t266 @t162))))) % 3.61/3.89 (assume @p139 (forall @t198 (=> @t152 (= @t308 @t305)))) % 3.61/3.89 (assume @p140 (forall @t309 (=> @t152 (= (tptp.hAPP (tptp.hAPP @t66 @t269) @t155) (tptp.hAPP @t266 @t156))))) % 3.61/3.89 (assume @p141 (forall @t198 (=> @t306 (= @t308 @t304)))) % 3.61/3.89 (assume @p142 (forall @t198 (=> @t306 (= (tptp.hAPP @t307 @t294) @t98)))) % 3.61/3.89 (assume @p143 (forall @t230 (=> @t25 (= (= (tptp.hAPP @t170 @t30) (tptp.hAPP @t167 @t29)) (or @t31 @t278))))) % 3.61/3.89 (assume @p144 (forall @t84 (=> @t310 (not (= @t264 @t82))))) % 3.61/3.89 (assume @p145 (forall @t84 (=> @t310 (not (= @t82 @t264))))) % 3.61/3.89 (assume @p146 (forall @t90 (=> @t157 @t297))) % 3.61/3.89 (assume @p147 (forall @t90 (=> @t157 @t300))) % 3.61/3.89 (assume @p148 (forall @t84 (=> @t285 (= (tptp.hAPP @t284 @t62) @t62)))) % 3.61/3.89 (assume @p149 (forall @t289 (=> @t293 (= (tptp.hAPP @t89 @t287) @t292)))) % 3.61/3.89 (assume @p150 (forall @t90 (=> @t275 (= (tptp.hAPP @t69 @t274) @t82)))) % 3.61/3.89 (assume @p151 (forall @t230 (=> @t279 (= @t278 (= @t311 @t111))))) % 3.61/3.89 (assume @p152 (forall @t90 (=> @t275 @t312))) % 3.61/3.89 (assume @p153 (forall @t90 (=> @t285 @t312))) % 3.61/3.89 (assume @p154 (forall @t198 (=> @t275 (=> (= @t118 @t82) (= @t274 @t96))))) % 3.61/3.89 (assume @p155 (forall @t60 (=> @t157 (= (tptp.hAPP (tptp.hAPP @t78 @t264) @t36) @t36)))) % 3.61/3.89 (assume @p156 (forall @t316 (=> @t157 (= (tptp.hAPP @t315 @t247) (tptp.hAPP (tptp.hAPP @t66 @t314) @t247))))) % 3.61/3.89 (assume @p157 (forall (@list @t44 @t247 @t37) (=> @t157 (= (tptp.hAPP @t315 @t248) @t318)))) % 3.61/3.89 (assume @p158 (forall (@list @t247 @t44 @t37) (=> @t157 (= (tptp.hAPP @t249 @t247) @t318)))) % 3.61/3.89 (assume @p159 (forall @t319 (=> @t59 (= (tptp.c_Polynomial_Omonom @t37 @t82 @t282) @t62)))) % 3.61/3.89 (assume @p160 (forall @t320 (=> @t34 (= (= @t281 @t75) @t112)))) % 3.61/3.89 (assume @p161 (forall @t322 (=> @t47 (= (tptp.hAPP @t89 @t321) (tptp.c_Polynomial_Omonom @t37 @t98 @t282))))) % 3.61/3.89 (assume @p162 (forall @t323 (=> @t88 (= (tptp.hAPP (tptp.hAPP @t80 @t283) @t321) (tptp.c_Polynomial_Omonom @t37 @t118 @t282))))) % 3.61/3.89 (assume @p163 (forall (@list @t282 @t96 @t247 @t44 @t37) (=> @t47 (= (tptp.hAPP (tptp.hAPP @t87 @t327) @t321) (tptp.c_Polynomial_Omonom @t37 @t98 @t326))))) % 3.61/3.89 (assume @p164 (forall @t273 (=> @t34 (= (= @t111 @t130) @t131)))) % 3.61/3.89 (assume @p165 (forall @t180 (=> (tptp.class_Groups_Oab__semigroup__mult @t37) (= (tptp.hAPP (tptp.hAPP @t66 @t98) @t35) (tptp.hAPP @t97 @t176))))) % 3.61/3.89 (assume @p166 (forall @t180 (=> (tptp.class_Groups_Oab__semigroup__add @t37) @t208))) % 3.61/3.89 (assume @p167 (forall (@list @t166 @t29 @t30 @t23) (=> @t330 (= (= @t311 @t329) @t328)))) % 3.61/3.89 (assume @p168 (forall (@list @t166 @t30 @t29 @t23) (=> @t330 (= (= @t237 @t332) @t328)))) % 3.61/3.89 (assume @p169 (forall @t180 (=> @t335 @t334))) % 3.61/3.89 (assume @p170 (forall @t180 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t37) @t334))) % 3.61/3.89 (assume @p171 (forall @t336 (=> @t335 (=> (= (tptp.hAPP @t142 @t44) @t211) @t333)))) % 3.61/3.89 (assume @p172 (forall @t139 (=> @t279 (= @t338 (= @t128 @t337))))) % 3.61/3.89 (assume @p173 (forall (@list @t166 @t21 @t23) (=> @t25 (= (= (tptp.hAPP @t24 @t166) @t111) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t341 (tptp.hAPP (tptp.hAPP @t32 @t340) @t339)) @t21)))))) % 3.61/3.89 (assume @p174 (forall (@list @t21 @t166 @t23) (=> @t25 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t341 (tptp.hAPP (tptp.hAPP @t32 @t166) @t339)) @t21)) (= (tptp.hAPP @t24 @t340) @t111))))) % 3.61/3.89 (assume @p175 (forall (@list @t48 @t36 @t282 @t37) (=> @t267 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 (tptp.hAPP (tptp.hAPP @t87 (tptp.c_Polynomial_Omonom @t37 @t264 @t282)) @t36)) @t48) (tptp.hAPP (tptp.hAPP @t66 @t344) @t65))))) % 3.61/3.89 (assume @p176 (forall (@list @t130 @t345 @t56 @t23) (=> (tptp.class_Groups_Ouminus @t23) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t347) @t345) @t130) (tptp.hAPP @t271 @t346))))) % 3.61/3.89 (assume @p177 (=> @t7 (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.t_a tptp.t_a @t10)) (exists (@list @t348 @t58) (and (not (= @t58 @t8)) (not (= @t348 @t147)) (exists (@list @t57) (and (= (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t324 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.t_a @t57)) @t348)) @t351) (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.t_a tptp.v_cs____)) (forall @t15 (= @t11 (tptp.hAPP (tptp.hAPP @t350 (tptp.hAPP @t10 @t8)) (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.t_a) @t9) @t348)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a (tptp.hAPP (tptp.hAPP @t18 @t58) @t57)) @t9)))))))))))) % 3.61/3.89 (assume @p178 (forall @t361 (=> (tptp.class_Rings_Olinordered__semiring__1 @t37) (=> (tptp.hBOOL (tptp.hAPP @t360 @t44)) (=> (tptp.hBOOL (tptp.hAPP @t359 @t44)) (=> @t358 (=> @t357 (=> @t355 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t354) @t44)))))))))) % 3.61/3.89 (assume @p179 (forall @t28 (=> (tptp.class_Groups_Ocomm__monoid__add @t23) (= (tptp.hAPP (tptp.hAPP @t125 @t21) @t20) (tptp.c_Polynomial_OAbs__poly @t23 (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP (tptp.hAPP @t364 @t136) @t363)) @t362)))))) % 3.61/3.89 (assume @p180 (forall @t113 (=> @t109 (= @t116 (tptp.c_Polynomial_OAbs__poly @t23 (tptp.hAPP (tptp.hAPP @t366 @t170) @t363)))))) % 3.61/3.89 (assume @p181 (forall @t90 (=> @t157 (tptp.hBOOL (tptp.hAPP @t368 @t82))))) % 3.61/3.89 (assume @p182 (forall @t375 (= (tptp.hAPP @t370 @t374) (tptp.hAPP (tptp.hAPP @t372 @t371) (tptp.hAPP @t370 @t154))))) % 3.61/3.89 (assume @p183 (forall @t85 (=> @t157 (= (tptp.hAPP @t343 @t351) @t48)))) % 3.61/3.89 (assume @p184 (forall (@list @t48 @t282 @t36 @t37) (=> @t157 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 (tptp.hAPP (tptp.hAPP @t376 @t36) @t282)) @t48) (tptp.hAPP (tptp.hAPP @t342 @t65) @t282))))) % 3.61/3.89 (assume @p185 (forall @t28 (=> @t34 (= @t22 (forall @t378 (= (tptp.hAPP @t363 @t377) (tptp.hAPP @t362 @t377))))))) % 3.61/3.89 (assume @p186 (forall @t139 (=> @t34 (= (= @t380 (tptp.c_Polynomial_Ocoeff @t23 @t128)) @t379)))) % 3.61/3.89 (assume @p187 (forall @t90 (=> @t157 (tptp.hBOOL (tptp.hAPP @t368 @t44))))) % 3.61/3.89 (assume @p188 (forall @t180 (=> @t157 (=> @t384 (=> @t383 @t381))))) % 3.61/3.89 (assume @p189 (forall @t388 (=> @t157 (= (tptp.hAPP (tptp.hAPP @t342 @t387) @t49) (tptp.hAPP @t343 (tptp.hAPP @t386 @t49)))))) % 3.61/3.89 (assume @p190 (forall @t309 (=> @t391 (=> @t390 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t389) @t269)))))) % 3.61/3.89 (assume @p191 (forall @t139 (=> @t394 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t337) @t393)) @t392)))) % 3.61/3.89 (assume @p192 (forall @t90 (=> @t157 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t82) @t44)) @t221)))) % 3.61/3.89 (assume @p193 (forall @t180 (=> @t157 (=> @t395 @t383)))) % 3.61/3.89 (assume @p194 (forall @t180 (=> @t157 (=> @t395 @t381)))) % 3.61/3.89 (assume @p195 (forall (@list @t396 @t96 @t44 @t37) (=> (tptp.class_Rings_Odvd @t37) (=> (= @t44 (tptp.hAPP @t175 @t396)) (tptp.hBOOL (tptp.hAPP @t382 @t44)))))) % 3.61/3.89 (assume @p196 (forall @t205 (=> @t157 (=> @t384 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t35) @t140)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t177) @t397))))))) % 3.61/3.89 (assume @p197 (forall @t399 (=> @t157 (=> @t381 @t398)))) % 3.61/3.89 (assume @p198 (forall @t180 (=> @t157 (=> @t384 @t398)))) % 3.61/3.89 (assume @p199 (forall @t198 (=> @t157 (tptp.hBOOL (tptp.hAPP @t368 @t197))))) % 3.61/3.89 (assume @p200 (forall @t198 (=> @t157 (tptp.hBOOL (tptp.hAPP @t368 @t98))))) % 3.61/3.89 (assume @p201 (forall @t180 (=> @t157 (=> @t384 (=> @t381 (tptp.hBOOL (tptp.hAPP @t368 @t207))))))) % 3.61/3.89 (assume @p202 (forall @t90 (=> @t157 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t264) @t44))))) % 3.61/3.89 (assume @p203 (forall @t139 (=> @t403 (= (tptp.hBOOL (tptp.hAPP @t401 @t393)) @t402)))) % 3.61/3.89 (assume @p204 (forall @t139 (=> @t403 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t400 @t337) @t128)) @t402)))) % 3.61/3.89 (assume @p205 (forall @t388 (=> @t157 (= (tptp.hAPP (tptp.hAPP @t66 @t387) @t404) (tptp.hAPP @t343 (tptp.hAPP (tptp.hAPP @t324 @t36) @t49)))))) % 3.61/3.89 (assume @p206 (forall (@list @t49 @t155 @t48 @t37) (=> @t157 (= (tptp.hAPP (tptp.hAPP @t342 @t156) @t49) (tptp.hAPP @t406 (tptp.hAPP @t405 @t49)))))) % 3.61/3.89 (assume @p207 (forall (@list @t282 @t36 @t37) (=> @t285 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t287) @t282) (tptp.hAPP @t266 @t407))))) % 3.61/3.89 (assume @p208 (forall @t413 (=> @t412 (=> @t411 @t409)))) % 3.61/3.89 (assume @p209 (forall @t399 (=> @t412 (=> @t415 @t409)))) % 3.61/3.89 (assume @p210 (forall @t205 (=> @t418 (=> @t409 (=> @t417 (tptp.hBOOL (tptp.hAPP @t414 @t199))))))) % 3.61/3.89 (assume @p211 (forall @t180 (=> @t418 (=> @t409 @t411)))) % 3.61/3.89 (assume @p212 (forall @t180 (=> @t418 (=> @t409 @t415)))) % 3.61/3.89 (assume @p213 (forall @t423 (=> @t422 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t332) @t421)) @t420)))) % 3.61/3.89 (assume @p214 (forall @t425 (=> @t422 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t329) @t424)) @t420)))) % 3.61/3.89 (assume @p215 (forall @t198 (=> (tptp.class_Groups_Oordered__ab__group__add @t37) (=> @t409 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t294) @t274)))))) % 3.61/3.89 (assume @p216 (forall @t240 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t426 @t276)) @t420)))) % 3.61/3.89 (assume @p217 (forall @t230 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t428 @t29)) (tptp.hBOOL (tptp.hAPP @t426 @t30)))))) % 3.61/3.89 (assume @p218 (forall @t230 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t419 @t277)) (tptp.hBOOL (tptp.hAPP @t429 @t276)))))) % 3.61/3.89 (assume @p219 (forall @t106 (=> @t157 (=> @t433 @t432)))) % 3.61/3.89 (assume @p220 (forall @t435 (=> @t157 (=> @t432 @t434)))) % 3.61/3.89 (assume @p221 (forall @t273 (=> @t34 (= (tptp.c_Polynomial_OAbs__poly @t23 @t380) @t130)))) % 3.61/3.89 (assume @p222 (forall @t286 (=> @t157 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 (tptp.hAPP (tptp.hAPP @t376 (tptp.hAPP @t45 @t265)) @t282)) @t282) @t264)))) % 3.61/3.89 (assume @p223 (forall @t423 (=> @t25 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t400 @t439) @t438)) @t436)))) % 3.61/3.89 (assume @p224 (forall @t425 (=> @t25 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t400 @t171) @t168)) @t436)))) % 3.61/3.89 (assume @p225 (forall @t85 (=> @t157 (= (tptp.hAPP @t343 @t147) @t264)))) % 3.61/3.89 (assume @p226 (forall @t95 (=> @t440 (=> @t434 (=> @t224 @t432))))) % 3.61/3.89 (assume @p227 (forall @t435 (=> @t440 (=> @t432 (=> @t224 @t433))))) % 3.61/3.89 (assume @p228 (forall @t445 (=> @t444 (=> @t443 (= (tptp.hBOOL (tptp.hAPP @t441 (tptp.hAPP @t115 @t20))) @t442))))) % 3.61/3.89 (assume @p229 (forall @t198 (=> @t452 (=> (or (and @t451 @t450) (and @t448 @t447)) @t446)))) % 3.61/3.89 (assume @p230 (forall @t198 (=> @t454 (=> (or (and @t451 @t447) (and @t448 @t450)) @t453)))) % 3.61/3.89 (assume @p231 (forall @t205 (=> @t458 (=> @t409 (=> @t417 (=> @t447 @t457)))))) % 3.61/3.89 (assume @p232 (forall @t205 (=> @t458 (=> @t409 (=> @t417 (=> @t451 @t457)))))) % 3.61/3.89 (assume @p233 (forall @t336 (=> @t454 (=> @t464 (=> @t463 @t462))))) % 3.61/3.89 (assume @p234 (forall @t336 (=> @t454 (=> @t464 (=> @t463 @t465))))) % 3.61/3.89 (assume @p235 (forall @t180 (=> (tptp.class_Rings_Oordered__comm__semiring @t37) @t466))) % 3.61/3.89 (assume @p236 (forall @t180 (=> @t458 @t466))) % 3.61/3.89 (assume @p237 (forall @t180 (=> @t458 (=> @t409 (=> @t456 @t465))))) % 3.61/3.89 (assume @p238 (forall @t198 (=> @t454 (=> @t448 (=> @t450 @t453))))) % 3.61/3.89 (assume @p239 (forall @t198 (=> @t452 (=> @t448 (=> @t447 @t446))))) % 3.61/3.89 (assume @p240 (forall @t198 (=> @t452 (=> @t451 (=> @t450 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t197) @t82))))))) % 3.61/3.89 (assume @p241 (forall @t198 (=> @t452 (=> @t451 (=> @t450 @t446))))) % 3.61/3.89 (assume @p242 (forall @t198 (=> @t452 (=> @t451 (=> @t447 @t453))))) % 3.61/3.89 (assume @p243 (forall @t230 (=> @t138 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t226) @t111)) (or (and @t471 @t470) (and @t469 @t468)))))) % 3.61/3.89 (assume @p244 (forall @t230 (=> @t138 (= (tptp.hBOOL (tptp.hAPP @t467 @t226)) (or (and @t471 @t468) (and @t469 @t470)))))) % 3.61/3.89 (assume @p245 (forall @t90 (=> @t473 (tptp.hBOOL (tptp.hAPP @t356 @t472))))) % 3.61/3.89 (assume @p246 (forall @t198 (=> @t474 (=> @t448 (=> @t450 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t118) @t82))))))) % 3.61/3.89 (assume @p247 (forall (@list @t44 @t96 @t35 @t37) (=> @t474 (=> @t456 (=> @t464 @t475))))) % 3.61/3.89 (assume @p248 (forall @t180 (=> @t474 (=> @t451 (=> @t476 @t475))))) % 3.61/3.89 (assume @p249 (forall @t139 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t23) (=> (tptp.hBOOL (tptp.hAPP @t467 @t130)) (=> (tptp.hBOOL (tptp.hAPP @t467 @t128)) (= @t338 @t132)))))) % 3.61/3.89 (assume @p250 (forall @t198 (=> @t474 (=> @t451 (=> @t447 (tptp.hBOOL (tptp.hAPP @t356 @t118))))))) % 3.61/3.89 (assume @p251 (forall @t261 (=> @t260 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t259) @t111)) @t469)))) % 3.61/3.89 (assume @p252 (forall @t261 (=> @t260 (= (tptp.hBOOL (tptp.hAPP @t467 @t259)) @t471)))) % 3.61/3.89 (assume @p253 (forall @t84 (=> @t478 (not (tptp.hBOOL (tptp.hAPP @t477 @t82)))))) % 3.61/3.89 (assume @p254 (forall @t84 (=> @t478 (tptp.hBOOL (tptp.hAPP @t356 @t264))))) % 3.61/3.89 (assume @p255 (forall @t261 (=> @t260 (= (tptp.hBOOL (tptp.hAPP @t428 @t30)) @t471)))) % 3.61/3.89 (assume @p256 (forall @t261 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t428 @t111)) @t471)))) % 3.61/3.89 (assume @p257 (forall @t261 (=> @t260 (= (tptp.hBOOL (tptp.hAPP @t419 @t276)) @t469)))) % 3.61/3.89 (assume @p258 (forall @t261 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t467 @t276)) @t469)))) % 3.61/3.89 (assume @p259 (forall @t319 (=> @t59 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t62) @t282) @t82)))) % 3.61/3.89 (assume @p260 (forall @t289 (=> @t59 (= (tptp.hAPP @t479 @t147) @t44)))) % 3.61/3.89 (assume @p261 (forall @t480 (=> @t47 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t102) @t282) (tptp.hAPP @t97 @t407))))) % 3.61/3.89 (assume @p262 (forall @t484 (=> @t59 (and (=> @t482 (= @t481 @t44)) (=> @t483 (= @t481 @t82)))))) % 3.61/3.89 (assume @p263 (forall @t486 (=> @t88 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t105) @t282) (tptp.hAPP (tptp.hAPP @t68 @t407) @t485))))) % 3.61/3.89 (assume @p264 (forall @t289 (=> @t490 @t489))) % 3.61/3.89 (assume @p265 (forall @t77 (=> @t291 (= (tptp.hAPP @t290 @t21) (tptp.c_Polynomial_OAbs__poly @t23 (tptp.hAPP (tptp.hAPP @t366 @t271) @t363)))))) % 3.61/3.89 (assume @p266 (forall @t319 (=> @t157 (and (=> @t492 (= @t491 @t264)) (=> @t493 (= @t491 @t82)))))) % 3.61/3.89 (assume @p267 (forall @t445 (=> @t444 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t341 @t116) @t20)) (and (=> @t112 (= @t20 @t75)) (=> @t443 @t442)))))) % 3.61/3.89 (assume @p268 (forall @t139 (=> @t138 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t137) @t111)) @t132)))) % 3.61/3.89 (assume @p269 (forall @t309 (=> @t473 (tptp.hBOOL (tptp.hAPP @t356 @t495))))) % 3.61/3.89 (assume @p270 (forall @t309 (=> @t499 (=> @t498 (=> @t497 (=> @t496 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 (tptp.hAPP @t251 @t48)) @t48)))))))) % 3.61/3.89 (assume @p271 (forall @t309 (=> @t499 (=> @t498 (=> @t497 (=> @t496 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t156) @t48)))))))) % 3.61/3.89 (assume @p272 (forall @t198 (=> @t500 (= (tptp.hAPP @t97 @t98) @t98)))) % 3.61/3.89 (assume @p273 (forall @t85 (=> @t500 (= @t494 @t48)))) % 3.61/3.89 (assume @p274 (forall @t90 (=> @t500 (= @t472 @t44)))) % 3.61/3.89 (assume @p275 (forall (@list @t48 @t282 @t44 @t37) (=> @t157 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t283) @t48) (tptp.hAPP @t97 @t344))))) % 3.61/3.89 (assume @p276 (forall @t139 (=> @t394 (= (= @t337 @t393) @t379)))) % 3.61/3.89 (assume @p277 (forall @t85 (=> @t391 (= (tptp.hAPP @t266 @t269) @t48)))) % 3.61/3.89 (assume @p278 (forall @t286 (=> @t503 (= (tptp.hAPP (tptp.hAPP @t342 @t274) @t282) (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t342 @t268) @t282)) @t502))))) % 3.61/3.89 (assume @p279 (forall @t319 (=> @t507 (and (=> @t492 (= @t505 @t264)) (=> @t493 (= @t505 @t82)))))) % 3.61/3.89 (assume @p280 (forall (@list @t511 @t508 @t23) (=> (and @t512 (tptp.class_Rings_Osemiring__0 @t23)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP (tptp.hAPP @t133 @t511) @t3)))) (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t400 @t511) (tptp.hAPP @t510 @t111))) @t509)))))) % 3.61/3.89 (assume @p281 (forall @t517 (=> @t478 (=> @t516 (=> @t451 (=> (tptp.hBOOL (tptp.hAPP @t408 @t264)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t514) @t502)))))))) % 3.61/3.89 (assume @p282 (forall @t519 (=> @t298 (= (tptp.hAPP @t501 @t326) (tptp.hAPP (tptp.hAPP @t66 @t518) @t502))))) % 3.61/3.89 (assume @p283 (forall @t90 (=> @t506 (= (tptp.hAPP @t501 @t147) @t264)))) % 3.61/3.89 (assume @p284 (forall @t320 (=> (and @t525 (tptp.class_Rings_Omult__zero @t23) (tptp.class_Rings_Ono__zero__divisors @t23) (tptp.class_Rings_Ozero__neq__one @t23)) (= (= @t524 @t111) (and @t112 @t521))))) % 3.61/3.89 (assume @p285 (forall @t286 (=> @t478 (=> @t526 (tptp.hBOOL (tptp.hAPP @t477 @t502)))))) % 3.61/3.89 (assume @p286 (forall @t528 (= (tptp.hAPP (tptp.hAPP @t372 @t527) @t154) @t154))) % 3.61/3.89 (assume @p287 (forall @t528 (= (tptp.hAPP @t529 @t527) @t154))) % 3.61/3.89 (assume @p288 (forall @t534 (= @t533 @t532))) % 3.61/3.89 (assume @p289 (forall (@list @t535 @t536 @t530) (= (tptp.hAPP @t531 @t539) (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP @t531 @t536)) (tptp.hAPP @t531 @t535))))) % 3.61/3.89 (assume @p290 (forall (@list @t302 @t280 @t540) (= (tptp.hBOOL (tptp.hAPP @t542 (tptp.hAPP (tptp.hAPP @t537 @t280) @t544))) (tptp.hBOOL (tptp.hAPP @t542 @t280))))) % 3.61/3.89 (assume @p291 (forall @t534 (= (tptp.hAPP (tptp.hAPP @t372 @t546) @t530) (tptp.hAPP @t545 @t533)))) % 3.61/3.89 (assume @p292 (forall @t375 (= (tptp.hAPP (tptp.hAPP @t369 @t371) @t154) (tptp.hAPP @t370 (tptp.hAPP (tptp.hAPP @t385 @t155) @t154))))) % 3.61/3.89 (assume @p293 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t372 (tptp.hAPP @t549 @t535)) @t547) (tptp.hAPP @t549 (tptp.hAPP @t548 @t547))))) % 3.61/3.89 (assume @p294 (forall (@list @t530 @t535 @t536) (= (tptp.hAPP (tptp.hAPP @t372 @t539) @t530) (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP @t549 @t530)) (tptp.hAPP @t548 @t530))))) % 3.61/3.89 (assume @p295 (forall (@list @t166 @t551 @t130 @t169 @t30) (=> (tptp.hBOOL (tptp.hAPP @t553 @t169)) (= (tptp.hBOOL (tptp.hAPP @t553 (tptp.hAPP @t552 @t551))) (tptp.hBOOL (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP @t552 (tptp.hAPP (tptp.hAPP @t372 @t166) @t169))) @t551))))))) % 3.61/3.89 (assume @p296 (forall @t557 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP @t556 @t247)) (tptp.hAPP @t556 @t282))) (=> (not (= @t396 @t555)) @t554)))) % 3.61/3.89 (assume @p297 (forall (@list @t551 @t302 @t540) (=> (not (= @t540 @t555)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t302) @t551)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t544) (tptp.hAPP @t543 @t551))))))) % 3.61/3.89 (assume @p298 (forall @t519 (=> @t298 (= (tptp.hAPP @t501 @t559) (tptp.hAPP (tptp.hAPP @t342 @t518) @t282))))) % 3.61/3.89 (assume @p299 (forall @t286 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t37) (=> @t224 (not (= @t502 @t82)))))) % 3.61/3.89 (assume @p300 (forall @t322 (=> @t299 (= (tptp.hAPP (tptp.hAPP @t342 @t98) @t282) (tptp.hAPP @t562 @t561))))) % 3.61/3.89 (assume @p301 (forall @t286 (=> @t298 (= @t564 @t563)))) % 3.61/3.89 (assume @p302 (forall @t319 (=> @t298 (= (tptp.hAPP (tptp.hAPP @t342 @t264) @t282) @t264)))) % 3.61/3.89 (assume @p303 (forall (@list @t282 @t155 @t48 @t37) (=> @t157 (=> @t567 (tptp.hBOOL (tptp.hAPP @t565 (tptp.hAPP @t405 @t282))))))) % 3.61/3.89 (assume @p304 (forall @t484 (=> @t157 (=> @t570 (tptp.hBOOL (tptp.hAPP @t568 @t502)))))) % 3.61/3.89 (assume @p305 (forall (@list @t247 @t282 @t155 @t48 @t37) (=> @t157 (=> @t567 (=> @t571 (tptp.hBOOL (tptp.hAPP @t565 (tptp.hAPP @t405 @t247)))))))) % 3.61/3.89 (assume @p306 (forall (@list @t247 @t96 @t282 @t44 @t37) (=> @t157 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t367 @t502) @t96)) (=> @t570 (tptp.hBOOL (tptp.hAPP @t568 @t96))))))) % 3.61/3.89 (assume @p307 (forall @t90 (=> @t298 (= (tptp.hAPP @t501 @t351) @t44)))) % 3.61/3.89 (assume @p308 (forall @t286 (=> @t478 (=> @t451 (tptp.hBOOL (tptp.hAPP @t356 @t502)))))) % 3.61/3.89 (assume @p309 (forall @t322 (=> @t478 (=> @t409 (=> @t451 (tptp.hBOOL (tptp.hAPP @t572 @t561))))))) % 3.61/3.89 (assume @p310 (forall @t517 (=> @t478 (=> @t516 (=> @t526 (tptp.hBOOL (tptp.hAPP @t572 @t514))))))) % 3.61/3.89 (assume @p311 (forall @t573 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t147) @t282)))) % 3.61/3.89 (assume @p312 (forall @t575 (=> (= @t247 @t559) (or (= @t282 @t351) @t574)))) % 3.61/3.89 (assume @p313 (forall @t85 (=> @t576 (tptp.hBOOL (tptp.hAPP @t360 @t48))))) % 3.61/3.89 (assume @p314 (forall @t579 (=> @t490 (=> @t578 (and @t489 @t577))))) % 3.61/3.89 (assume @p315 (forall @t579 (=> @t490 (=> @t578 @t577)))) % 3.61/3.89 (assume @p316 (forall @t263 (=> @t525 (= @t522 (tptp.c_Power_Opower_Opower @t23 @t270 @t133))))) % 3.61/3.89 (assume @p317 (forall @t582 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t580) @t396)))) % 3.61/3.89 (assume @p318 (forall @t575 (=> (tptp.hBOOL (tptp.hAPP @t584 @t247)) (=> (tptp.hBOOL (tptp.hAPP @t584 @t282)) (=> @t554 (=> @t583 @t482)))))) % 3.61/3.89 (assume @p319 (forall @t587 (= @t586 (tptp.hBOOL (tptp.hAPP @t585 (tptp.hAPP @t545 @t551)))))) % 3.61/3.89 (assume @p320 (forall @t587 (= @t586 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP @t545 @t169)) @t551))))) % 3.61/3.89 (assume @p321 (forall @t593 (=> @t592 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t589 @t590)) (tptp.hAPP @t589 @t588)))))) % 3.61/3.89 (assume @p322 (forall @t575 (=> @t595 @t570))) % 3.61/3.89 (assume @p323 (forall @t575 (=> @t597 (=> (not @t570) (= @t247 @t596))))) % 3.61/3.89 (assume @p324 (forall @t575 (=> @t570 @t597))) % 3.61/3.89 (assume @p325 (forall @t602 (= (tptp.hBOOL (tptp.hAPP @t601 @t599)) (tptp.hBOOL (tptp.hAPP @t598 @t302))))) % 3.61/3.89 (assume @p326 (forall @t605 (= (tptp.hBOOL (tptp.hAPP @t603 @t600)) (or @t604 (= @t302 @t600))))) % 3.61/3.89 (assume @p327 (forall @t605 (= (not @t604) @t606))) % 3.61/3.89 (assume @p328 (forall @t573 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t596) @t282))))) % 3.61/3.89 (assume @p329 (forall @t611 (= (= @t610 @t609) @t607))) % 3.61/3.89 (assume @p330 (forall @t614 (= (tptp.hBOOL (tptp.hAPP @t613 @t580)) @t612))) % 3.61/3.89 (assume @p331 (forall (@list @t280 @t30 @t615 @t616 @t23) (= (tptp.hAPP @t617 @t600) (tptp.hAPP (tptp.hAPP @t615 @t30) (tptp.hAPP @t617 @t280))))) % 3.61/3.89 (assume @p332 (forall @t619 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t48) (tptp.hAPP tptp.c_Nat_OSuc @t155)) @t618))) % 3.61/3.89 (assume @p333 (forall (@list @t620 @t621) (= (= @t622 (tptp.hAPP tptp.c_Nat_OSuc @t620)) (= @t621 @t620)))) % 3.61/3.89 (assume @p334 (forall @t573 (not (= @t596 @t282)))) % 3.61/3.89 (assume @p335 (forall @t573 (not (= @t282 @t596)))) % 3.61/3.89 (assume @p336 (forall @t623 (not (= @t594 @t147)))) % 3.61/3.89 (assume @p337 (forall @t623 (not (= @t147 @t594)))) % 3.61/3.89 (assume @p338 (forall (@list @t624) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t624) @t147)))) % 3.61/3.89 (assume @p339 (forall (@list @t625) (not (= @t147 (tptp.hAPP tptp.c_Nat_OSuc @t625))))) % 3.61/3.89 (assume @p340 (forall @t575 (= @t627 @t626))) % 3.61/3.89 (assume @p341 (forall @t575 (= @t627 @t628))) % 3.61/3.89 (assume @p342 (forall @t575 (= @t626 @t628))) % 3.61/3.89 (assume @p343 (forall @t534 (= (tptp.hAPP @t545 @t632) (tptp.hAPP @t630 @t629)))) % 3.61/3.89 (assume @p344 (forall @t534 (= @t632 @t634))) % 3.61/3.89 (assume @p345 (forall @t375 (= (tptp.hAPP @t635 (tptp.hAPP @t636 @t154)) (tptp.hAPP @t636 (tptp.hAPP @t635 @t154))))) % 3.61/3.89 (assume @p346 (forall @t550 (= (tptp.hAPP (tptp.hAPP @t537 @t539) @t547) (tptp.hAPP @t538 (tptp.hAPP (tptp.hAPP @t537 @t535) @t547))))) % 3.61/3.89 (assume @p347 (forall @t528 (= (tptp.hAPP @t545 @t546) @t154))) % 3.61/3.89 (assume @p348 (forall @t528 (= (tptp.hAPP @t630 @t154) @t555))) % 3.61/3.89 (assume @p349 (forall @t528 (= (tptp.hAPP @t631 @t555) @t154))) % 3.61/3.89 (assume @p350 (forall @t528 (= (tptp.hAPP (tptp.hAPP @t537 @t555) @t154) @t154))) % 3.61/3.89 (assume @p351 (= (tptp.hAPP @t545 @t555) @t555)) % 3.61/3.89 (assume @p352 (forall @t528 (not (= (tptp.hAPP (tptp.hAPP @t537 @t638) @t154) @t555)))) % 3.61/3.89 (assume @p353 (not (= @t555 @t527))) % 3.61/3.89 (assume @p354 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t639 @t580) @t282) @t580))) % 3.61/3.89 (assume @p355 (forall (@list @t302 @t130) (= (= (tptp.hAPP @t641 @t302) @t580) (or @t640 (= @t130 @t580))))) % 3.61/3.89 (assume @p356 (forall @t605 (= (= @t580 @t645) @t643))) % 3.61/3.89 (assume @p357 (forall @t605 (= (= @t645 @t580) @t643))) % 3.61/3.89 (assume @p358 (forall @t605 (= (= @t647 @t580) (and @t612 @t642)))) % 3.61/3.89 (assume @p359 (= @t351 @t580)) % 3.61/3.89 (assume @p360 (forall @t575 (= (tptp.hAPP @t558 @t596) (tptp.hAPP @t325 @t559)))) % 3.61/3.89 (assume @p361 (forall @t575 (= (tptp.hAPP (tptp.hAPP @t385 @t594) @t282) (tptp.hAPP @t648 @t559)))) % 3.61/3.89 (assume @p362 (forall @t611 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t610) @t609)) @t604))) % 3.61/3.89 (assume @p363 (forall @t319 (=> @t507 (= (tptp.hAPP @t504 @t596) @t82)))) % 3.61/3.89 (assume @p364 (forall @t650 (=> @t157 (= (tptp.hAPP @t406 @t48) @t649)))) % 3.61/3.89 (assume @p365 (forall @t650 (=> @t157 (= @t651 @t649)))) % 3.61/3.89 (assume @p366 (forall @t650 (=> @t157 (= @t649 @t651)))) % 3.61/3.89 (assume @p367 (forall @t286 (=> @t298 (= @t652 @t564)))) % 3.61/3.89 (assume @p368 (forall @t286 (=> @t506 (= @t652 @t563)))) % 3.61/3.89 (assume @p369 (forall @t605 (= (tptp.hBOOL (tptp.hAPP @t653 @t647)) (and (tptp.hBOOL (tptp.hAPP @t653 @t302)) (tptp.hBOOL (tptp.hAPP @t653 @t280)))))) % 3.61/3.89 (assume @p370 (forall @t656 (=> (tptp.hBOOL (tptp.hAPP @t653 @t590)) (tptp.hBOOL (tptp.hAPP @t653 @t655))))) % 3.61/3.89 (assume @p371 (forall @t573 (= @t596 (tptp.hAPP (tptp.hAPP @t324 @t351) @t282)))) % 3.61/3.89 (assume @p372 (forall @t573 (= @t596 (tptp.hAPP @t648 @t351)))) % 3.61/3.89 (assume @p373 (forall @t480 (=> @t59 (= (tptp.hAPP @t479 @t596) @t407)))) % 3.61/3.89 (assume @p374 (forall @t323 (=> @t478 (=> (= @t652 @t657) (=> @t451 (=> @t447 @t143)))))) % 3.61/3.89 (assume @p375 (forall @t323 (=> @t478 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t652) @t657)) (=> @t447 @t409))))) % 3.61/3.89 (assume @p376 (forall @t139 (=> @t25 (= (= (tptp.hAPP (tptp.hAPP @t522 @t130) @t658) (tptp.hAPP (tptp.hAPP @t522 @t128) @t658)) (or @t379 (= @t130 @t393)))))) % 3.61/3.89 (assume @p377 (forall (@list @t30 @t615 @t616 @t23) (= (tptp.hAPP @t617 @t147) @t616))) % 3.61/3.89 (assume @p378 (forall @t309 (=> @t660 (=> (not @t390) @t659)))) % 3.61/3.89 (assume @p379 (forall (@list @t130 @t1 @t2 @t23 @t56) (=> @t664 (=> @t663 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t661) (tptp.hAPP @t1 @t130))))))) % 3.61/3.89 (assume @p380 (forall @t668 (=> @t667 (=> @t659 (=> @t666 (tptp.hBOOL (tptp.hAPP @t665 @t48))))))) % 3.61/3.89 (assume @p381 (forall @t669 (=> @t667 (=> @t659 (=> @t390 @t618))))) % 3.61/3.89 (assume @p382 (forall @t158 (=> @t576 (=> @t390 (=> @t670 (tptp.hBOOL (tptp.hAPP @t360 @t154))))))) % 3.61/3.89 (assume @p383 (forall @t309 (=> @t667 (=> @t390 (=> @t659 @t618))))) % 3.61/3.89 (assume @p384 (forall @t336 (=> @t667 (=> @t464 (=> @t333 @t671))))) % 3.61/3.89 (assume @p385 (forall @t180 (=> @t673 (=> @t409 (=> @t333 @t672))))) % 3.61/3.89 (assume @p386 (forall @t180 (=> @t667 (=> @t143 (=> (tptp.hBOOL (tptp.hAPP @t416 @t96)) @t671))))) % 3.61/3.89 (assume @p387 (forall @t180 (=> @t673 (=> @t143 (=> @t476 @t672))))) % 3.61/3.89 (assume @p388 (forall @t677 (=> @t676 (=> @t392 @t675)))) % 3.61/3.89 (assume @p389 (forall @t309 (=> @t576 (=> @t618 @t390)))) % 3.61/3.89 (assume @p390 (forall @t139 (=> @t676 (= @t379 (and @t674 @t392))))) % 3.61/3.89 (assume @p391 (forall @t309 (=> @t660 (or @t390 @t659)))) % 3.61/3.89 (assume @p392 (forall @t678 (=> @t664 (= @t663 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t5) @t4))))))) % 3.61/3.89 (assume @p393 (forall @t286 (=> @t59 (= (tptp.c_Polynomial_Omonom @t37 @t44 @t596) (tptp.hAPP @t83 @t283))))) % 3.61/3.89 (assume @p394 (forall @t575 (= @t326 @t679))) % 3.61/3.89 (assume @p395 (forall @t375 (= (tptp.hAPP @t680 @t374) (tptp.hAPP @t373 (tptp.hAPP @t680 @t154))))) % 3.61/3.89 (assume @p396 (forall @t682 (= (tptp.hAPP (tptp.hAPP @t324 @t326) @t396) (tptp.hAPP @t325 @t681)))) % 3.61/3.89 (assume @p397 (forall @t611 (= (= @t685 @t684) @t607))) % 3.61/3.89 (assume @p398 (forall @t687 (= (= (tptp.hAPP @t644 @t540) @t686) @t607))) % 3.61/3.89 (assume @p399 (forall (@list @t280 @t540) (= (tptp.hBOOL (tptp.hAPP @t688 @t686)) (tptp.hBOOL (tptp.hAPP @t688 @t280))))) % 3.61/3.89 (assume @p400 (forall @t573 (tptp.hBOOL (tptp.hAPP @t515 @t282)))) % 3.61/3.89 (assume @p401 (forall @t575 (or @t570 @t571))) % 3.61/3.89 (assume @p402 (forall @t575 (=> @t482 @t570))) % 3.61/3.89 (assume @p403 (forall @t593 (=> @t691 (=> (tptp.hBOOL (tptp.hAPP @t690 @t396)) (tptp.hBOOL (tptp.hAPP @t689 @t396)))))) % 3.61/3.89 (assume @p404 (forall @t575 (=> @t570 (=> @t571 @t482)))) % 3.61/3.89 (assume @p405 (forall @t575 (= @t559 @t693))) % 3.61/3.89 (assume @p406 (forall @t682 (= (tptp.hAPP (tptp.hAPP @t385 @t559) @t396) (tptp.hAPP @t558 @t694)))) % 3.61/3.89 (assume @p407 (forall @t614 (= (tptp.hBOOL (tptp.hAPP @t613 @t351)) @t695))) % 3.61/3.89 (assume @p408 (forall (@list @t282 @t119 @t37) (=> @t478 (=> (tptp.hBOOL (tptp.hAPP @t356 @t119)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t119) @t264)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 (tptp.hAPP (tptp.hAPP @t342 @t119) @t596)) @t119))))))) % 3.61/3.89 (assume @p409 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t324 @t147) @t282) @t282))) % 3.61/3.89 (assume @p410 (forall @t623 (= (tptp.hAPP @t325 @t147) @t247))) % 3.61/3.89 (assume @p411 (forall @t605 (= (= @t645 @t147) (and @t640 @t520)))) % 3.61/3.89 (assume @p412 (forall @t575 (=> (= @t326 @t247) @t492))) % 3.61/3.89 (assume @p413 (forall @t696 (= (tptp.hBOOL (tptp.hAPP @t598 @t147)) @t520))) % 3.61/3.89 (assume @p414 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t385 @t147) @t282) @t147))) % 3.61/3.89 (assume @p415 (forall @t623 (= (tptp.hAPP @t558 @t147) @t147))) % 3.61/3.89 (assume @p416 (forall @t605 (= (= @t647 @t147) (or @t640 @t520)))) % 3.61/3.89 (assume @p417 (forall @t611 (= @t702 @t698))) % 3.61/3.89 (assume @p418 (forall @t687 (= (= @t705 @t704) @t698))) % 3.61/3.89 (assume @p419 (forall @t706 (tptp.hBOOL (tptp.hAPP @t515 @t326)))) % 3.61/3.89 (assume @p420 (forall @t706 (tptp.hBOOL (tptp.hAPP @t515 @t679)))) % 3.61/3.89 (assume @p421 (forall @t605 (= @t604 (exists @t708 (= @t280 @t707))))) % 3.61/3.89 (assume @p422 (forall @t611 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t685) @t684)) @t604))) % 3.61/3.89 (assume @p423 (forall @t711 (=> @t691 (tptp.hBOOL (tptp.hAPP @t689 @t710))))) % 3.61/3.89 (assume @p424 (forall @t711 (=> @t691 (tptp.hBOOL (tptp.hAPP @t689 @t712))))) % 3.61/3.89 (assume @p425 (forall @t593 (=> @t691 (tptp.hBOOL (tptp.hAPP @t716 @t713))))) % 3.61/3.89 (assume @p426 (forall @t721 (=> @t691 (=> @t720 (tptp.hBOOL (tptp.hAPP @t716 @t718)))))) % 3.61/3.89 (assume @p427 (forall @t725 (=> @t724 @t722))) % 3.61/3.89 (assume @p428 (forall @t725 (=> @t724 @t570))) % 3.61/3.89 (assume @p429 (forall @t725 (=> @t724 (not (=> @t570 (not @t722)))))) % 3.61/3.89 (assume @p430 (forall @t682 (= (tptp.hAPP (tptp.hAPP @t385 @t326) @t396) (tptp.hAPP (tptp.hAPP @t324 @t726) @t694)))) % 3.61/3.89 (assume @p431 (forall @t557 (= (tptp.hAPP @t727 @t326) (tptp.hAPP (tptp.hAPP @t324 @t729) @t728)))) % 3.61/3.89 (assume @p432 (forall @t623 (tptp.hBOOL (tptp.hAPP @t569 @t730)))) % 3.61/3.89 (assume @p433 (forall @t623 (tptp.hBOOL (tptp.hAPP @t569 (tptp.hAPP @t558 @t730))))) % 3.61/3.89 (assume @p434 (forall @t593 (=> @t691 (tptp.hBOOL (tptp.hAPP @t735 @t732))))) % 3.61/3.89 (assume @p435 (forall @t593 (=> @t691 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t737) @t736))))) % 3.61/3.89 (assume @p436 (forall @t721 (=> @t691 (=> @t720 (tptp.hBOOL (tptp.hAPP @t735 (tptp.hAPP @t731 @t717))))))) % 3.61/3.89 (assume @p437 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t385 @t351) @t282) @t282))) % 3.61/3.89 (assume @p438 (forall @t605 (= (= @t351 @t647) @t739))) % 3.61/3.89 (assume @p439 (forall @t573 (= (tptp.hAPP @t692 @t351) @t282))) % 3.61/3.89 (assume @p440 (forall @t605 (= (= @t647 @t351) @t739))) % 3.61/3.89 (assume @p441 (forall @t113 (=> @t25 (= @t148 (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP @t740 (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t74 tptp.tc_HOL_Obool (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t74 (tptp.tc_fun @t74 tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) @t341) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t74 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t74) (tptp.hAPP (tptp.hAPP @t32 @t276) @t339))) tptp.c_Nat_OSuc))) @t21))))))) % 3.61/3.89 (assume @p442 (forall @t741 (=> @t521 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t369 @t30) @t280)) (tptp.hAPP (tptp.hAPP @t369 @t29) @t280))) (tptp.hBOOL (tptp.hAPP @t553 @t29)))))) % 3.61/3.89 (assume @p443 (forall @t742 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t369 @t44) @t282)) (tptp.hAPP (tptp.hAPP @t369 @t96) @t282))) (=> @t493 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t44) @t96)))))) % 3.61/3.89 (assume @p444 (forall @t745 (=> @t744 (tptp.hBOOL (tptp.hAPP @t584 @t743))))) % 3.61/3.89 (assume @p445 (forall (@list @t396 @t588 @t353 @t590) (= (tptp.hAPP @t748 (tptp.hAPP @t747 @t396)) (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 @t746) @t353)) @t396)))) % 3.61/3.89 (assume @p446 (forall @t619 (=> @t744 (=> @t750 (tptp.hBOOL (tptp.hAPP @t584 @t749)))))) % 3.61/3.89 (assume @p447 (forall @t752 (tptp.hBOOL (tptp.hAPP @t751 @t48)))) % 3.61/3.89 (assume @p448 (forall @t619 (=> @t756 (not (and @t755 (not @t753)))))) % 3.61/3.89 (assume @p449 (forall @t375 (=> @t756 @t761))) % 3.61/3.89 (assume @p450 (forall @t767 (=> @t766 (not (and @t765 (not @t763)))))) % 3.61/3.89 (assume @p451 (forall @t375 (=> @t756 (=> @t760 @t759)))) % 3.61/3.89 (assume @p452 (forall @t771 (=> @t766 (=> @t333 @t770)))) % 3.61/3.89 (assume @p453 (forall @t619 (=> @t756 @t772))) % 3.61/3.89 (assume @p454 (forall @t619 (=> @t756 @t773))) % 3.61/3.89 (assume @p455 (forall @t619 (=> @t756 @t753))) % 3.61/3.89 (assume @p456 (forall @t375 (=> @t753 @t761))) % 3.61/3.89 (assume @p457 (forall @t771 (=> @t143 (=> (and @t774 (not (tptp.hBOOL (tptp.hAPP @t768 @t96)))) @t770)))) % 3.61/3.89 (assume @p458 (forall @t375 (=> @t753 (=> @t760 @t758)))) % 3.61/3.89 (assume @p459 (forall @t619 (=> @t753 (=> @t755 @t618)))) % 3.61/3.89 (assume @p460 (forall @t575 (=> @t776 (=> @t775 @t482)))) % 3.61/3.89 (assume @p461 (forall @t771 (=> @t763 (=> @t333 @t769)))) % 3.61/3.89 (assume @p462 (forall @t771 (=> @t143 (=> @t774 @t769)))) % 3.61/3.89 (assume @p463 (forall @t767 (=> @t763 (=> @t777 @t766)))) % 3.61/3.89 (assume @p464 (forall @t619 (=> @t753 (or @t756 @t618)))) % 3.61/3.89 (assume @p465 (forall (@list @t130 @t128) (=> @t779 (= @t778 @t379)))) % 3.61/3.89 (assume @p466 (forall @t619 (=> @t618 @t753))) % 3.61/3.89 (assume @p467 (forall @t767 (=> @t777 (=> @t763 @t766)))) % 3.61/3.89 (assume @p468 (forall @t782 (= @t781 (and @t778 @t780)))) % 3.61/3.89 (assume @p469 (forall @t782 (= @t778 (or @t781 @t379)))) % 3.61/3.89 (assume @p470 (forall @t782 (= @t379 (and @t778 @t779)))) % 3.61/3.89 (assume @p471 (forall (@list @t508 @t23) (=> @t789 (=> @t788 @t784)))) % 3.61/3.89 (assume @p472 (forall @t534 (=> @t793 (=> @t791 (= @t154 @t530))))) % 3.61/3.89 (assume @p473 (forall @t593 (=> @t592 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t588) @t396)) (tptp.hBOOL (tptp.hAPP @t591 @t396)))))) % 3.61/3.89 (assume @p474 (forall @t534 (or @t793 @t791))) % 3.61/3.89 (assume @p475 (forall (@list @t530) (tptp.hBOOL (tptp.hAPP @t790 @t530)))) % 3.61/3.89 (assume @p476 (forall @t795 (=> @t789 (=> @t794 @t784)))) % 3.61/3.89 (assume @p477 (forall @t795 (=> @t789 (=> @t794 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t783) @t540)))))) % 3.61/3.89 (assume @p478 (forall @t742 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t639 @t44) @t282)) (tptp.hAPP (tptp.hAPP @t639 @t96) @t282))) (=> @t493 @t763)))) % 3.61/3.89 (assume @p479 (forall @t741 (=> @t521 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t639 @t30) @t280)) (tptp.hAPP (tptp.hAPP @t639 @t29) @t280))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t30) @t29)))))) % 3.61/3.89 (assume @p480 (forall @t752 (tptp.hBOOL (tptp.hAPP @t751 @t147)))) % 3.61/3.89 (assume @p481 (tptp.hBOOL (tptp.hAPP @t584 @t555))) % 3.61/3.89 (assume @p482 (forall @t752 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t351) @t48)))) % 3.61/3.89 (assume @p483 (forall @t800 (=> @t799 (=> @t797 (= (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t508) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t508) tptp.c_Nat_OSuc)))))))) % 3.61/3.89 (assume @p484 (forall @t611 (= @t802 (or @t697 @t801)))) % 3.61/3.89 (assume @p485 (forall @t611 (= @t702 (or @t697 @t607)))) % 3.61/3.89 (assume @p486 (tptp.hBOOL (tptp.hAPP @t584 @t527))) % 3.61/3.89 (assume @p487 (forall @t619 (=> @t744 (=> @t750 (tptp.hBOOL (tptp.hAPP @t584 @t803)))))) % 3.61/3.89 (assume @p488 (forall @t806 (=> (tptp.hBOOL (tptp.hAPP @t804 @t154)) @t805))) % 3.61/3.89 (assume @p489 (forall @t375 (=> @t807 @t805))) % 3.61/3.89 (assume @p490 (forall @t809 (= (tptp.hBOOL (tptp.hAPP @t808 @t511)) (exists @t378 (= @t511 (tptp.hAPP @t683 @t377)))))) % 3.61/3.89 (assume @p491 (forall @t113 (=> @t34 (= @t33 (tptp.c_Polynomial_OAbs__poly @t23 @t810))))) % 3.61/3.89 (assume @p492 (forall (@list @t812 @t811 @t23) (= (tptp.hAPP @t813 @t147) @t811))) % 3.61/3.89 (assume @p493 (forall (@list @t621 @t812 @t811 @t23) (= (tptp.hAPP @t813 @t622) (tptp.hAPP @t812 @t621)))) % 3.61/3.89 (assume @p494 (forall @t113 (=> @t34 (= (tptp.c_Polynomial_Ocoeff @t23 @t33) @t810)))) % 3.61/3.89 (assume @p495 (forall @t605 (= @t814 (tptp.hBOOL (tptp.hAPP (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t603) @t280))))) % 3.61/3.89 (assume @p496 (forall @t817 (=> @t676 (=> @t816 (=> @t778 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t661) @t815))))))) % 3.61/3.89 (assume @p497 (forall @t821 (=> @t820 (= @t819 (tptp.hAPP (tptp.hAPP @t385 (tptp.hAPP tptp.c_Int_Onat @t546)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t545 @t818))))))) % 3.61/3.89 (assume @p498 (forall @t361 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t37) (=> (tptp.hBOOL (tptp.hAPP @t823 @t44)) (=> (tptp.hBOOL (tptp.hAPP @t822 @t44)) (=> @t358 (=> @t357 (=> @t355 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t354) @t44)))))))))) % 3.61/3.89 (assume @p499 (forall @t528 (=> @t825 (= (tptp.hAPP tptp.c_Nat_OSuc @t824) (tptp.hAPP tptp.c_Int_Onat @t638))))) % 3.61/3.89 (assume @p500 (forall @t573 (not (tptp.hBOOL (tptp.hAPP @t826 @t147))))) % 3.61/3.89 (assume @p501 (forall @t575 (=> @t830 @t828))) % 3.61/3.89 (assume @p502 (forall @t573 (tptp.hBOOL (tptp.hAPP @t826 @t596)))) % 3.61/3.89 (assume @p503 (forall @t573 (tptp.hBOOL (tptp.hAPP @t831 @t596)))) % 3.61/3.89 (assume @p504 (forall @t619 (=> @t833 @t807))) % 3.61/3.89 (assume @p505 (forall @t375 (=> @t833 @t834))) % 3.61/3.89 (assume @p506 (forall @t806 (=> (tptp.hBOOL (tptp.hAPP @t832 @t154)) @t834))) % 3.61/3.89 (assume @p507 (forall @t840 (=> (or (tptp.hBOOL (tptp.hAPP @t839 @t244)) @t838) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t837) @t836)) @t835)))) % 3.61/3.89 (assume @p508 (forall @t517 (=> @t478 (=> @t845 (=> @t844 (=> @t842 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t514) @t502)))))))) % 3.61/3.89 (assume @p509 (forall @t286 (=> @t478 (=> @t848 (=> @t847 (tptp.hBOOL (tptp.hAPP @t846 @t502))))))) % 3.61/3.89 (assume @p510 (forall @t850 (= (tptp.hBOOL (tptp.hAPP @t831 @t836)) @t849))) % 3.61/3.89 (assume @p511 (forall @t840 (= @t854 (and @t849 @t852)))) % 3.61/3.89 (assume @p512 (forall @t856 (=> @t849 @t855))) % 3.61/3.89 (assume @p513 (forall @t309 (=> @t660 (=> @t859 (=> @t773 @t857))))) % 3.61/3.89 (assume @p514 (forall @t309 (=> @t576 (=> @t858 (not @t857))))) % 3.61/3.89 (assume @p515 (forall @t668 (=> @t667 (=> @t857 @t862)))) % 3.61/3.89 (assume @p516 (forall @t158 (=> @t576 (=> @t858 @t864)))) % 3.61/3.89 (assume @p517 (forall @t336 (=> @t667 (=> @t868 (=> @t333 @t866))))) % 3.61/3.89 (assume @p518 (forall @t180 (=> @t673 (=> @t870 (=> @t333 @t869))))) % 3.61/3.89 (assume @p519 (forall @t180 (=> @t667 (=> @t143 (=> (tptp.hBOOL (tptp.hAPP @t865 @t96)) @t866))))) % 3.61/3.89 (assume @p520 (forall @t180 (=> @t673 (=> @t143 (=> @t871 @t869))))) % 3.61/3.89 (assume @p521 (forall @t872 (=> @t667 (=> @t868 (not @t870))))) % 3.61/3.89 (assume @p522 (forall @t198 (=> @t576 (=> @t870 (not @t868))))) % 3.61/3.89 (assume @p523 (forall @t309 (=> @t667 (=> @t858 @t772)))) % 3.61/3.89 (assume @p524 (forall @t309 (=> @t667 (=> @t858 @t773)))) % 3.61/3.89 (assume @p525 (forall @t309 (=> @t660 @t873))) % 3.61/3.89 (assume @p526 (forall @t677 (=> @t878 (=> (not @t877) @t876)))) % 3.61/3.89 (assume @p527 (forall @t309 (=> @t660 (or @t858 @t618 @t857)))) % 3.61/3.89 (assume @p528 (forall @t139 (=> @t878 (= @t875 (or @t877 @t379))))) % 3.61/3.89 (assume @p529 (forall @t139 (=> @t878 (= @t780 (or @t874 @t877))))) % 3.61/3.89 (assume @p530 (forall @t85 (=> @t576 (not (tptp.hBOOL (tptp.hAPP @t823 @t48)))))) % 3.61/3.89 (assume @p531 (forall @t850 (= (tptp.hBOOL (tptp.hAPP @t879 @t836)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t527) @t212))))) % 3.61/3.89 (assume @p532 (forall @t309 (=> @t499 @t873))) % 3.61/3.89 (assume @p533 (forall @t593 (=> @t880 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t537 @t590) @t396)) (tptp.hAPP (tptp.hAPP @t537 @t588) @t396)))))) % 3.61/3.89 (assume @p534 (forall @t575 (=> (or @t830 @t482) @t570))) % 3.61/3.89 (assume @p535 (forall @t575 (=> @t570 (=> @t483 @t830)))) % 3.61/3.89 (assume @p536 (forall @t575 (=> @t830 @t570))) % 3.61/3.89 (assume @p537 (forall @t605 (= @t604 @t883))) % 3.61/3.89 (assume @p538 (forall @t605 (= @t882 (and @t604 @t884)))) % 3.61/3.89 (assume @p539 (forall @t593 (=> (tptp.hBOOL (tptp.hAPP @t886 @t396)) (tptp.hBOOL (tptp.hAPP @t885 @t396))))) % 3.61/3.89 (assume @p540 (forall (@list @t282 @t247 @t717 @t396) (=> @t889 (=> (= (tptp.hAPP @t325 @t717) @t888) @t830)))) % 3.61/3.89 (assume @p541 (forall @t721 (=> @t891 (=> @t889 (tptp.hBOOL (tptp.hAPP @t890 @t718)))))) % 3.61/3.89 (assume @p542 (forall @t593 (=> @t891 (tptp.hBOOL (tptp.hAPP @t890 @t713))))) % 3.61/3.89 (assume @p543 (forall @t711 (=> @t891 (tptp.hBOOL (tptp.hAPP @t885 @t712))))) % 3.61/3.89 (assume @p544 (forall @t711 (=> @t891 (tptp.hBOOL (tptp.hAPP @t885 @t710))))) % 3.61/3.89 (assume @p545 (forall @t611 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t685) @t684)) @t882))) % 3.61/3.89 (assume @p546 (forall (@list @t590 @t588) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t892) @t590))))) % 3.61/3.89 (assume @p547 (forall (@list @t588 @t590) (not (tptp.hBOOL (tptp.hAPP @t886 @t590))))) % 3.61/3.89 (assume @p548 (forall @t575 (=> @t828 @t830))) % 3.61/3.89 (assume @p549 (forall @t575 (=> @t893 @t830))) % 3.61/3.89 (assume @p550 (forall @t575 (=> @t895 (=> @t894 @t482)))) % 3.61/3.89 (assume @p551 (forall @t593 (=> @t891 (=> @t897 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t896) @t396)))))) % 3.61/3.89 (assume @p552 (forall @t575 (=> @t830 (=> (not (= @t594 @t282)) @t893)))) % 3.61/3.89 (assume @p553 (forall @t575 (=> @t830 @t895))) % 3.61/3.89 (assume @p554 (forall @t706 (=> (not @t898) (=> (tptp.hBOOL (tptp.hAPP @t826 @t594)) @t482)))) % 3.61/3.89 (assume @p555 (forall @t602 (=> (not @t902) @t901))) % 3.61/3.89 (assume @p556 (forall @t605 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t599) @t600)) @t882))) % 3.61/3.89 (assume @p557 (forall @t605 (= @t903 @t883))) % 3.61/3.89 (assume @p558 (forall @t605 (= (not @t882) @t900))) % 3.61/3.89 (assume @p559 (forall @t573 (=> @t493 @t847))) % 3.61/3.89 (assume @p560 (forall @t575 (=> @t830 @t493))) % 3.61/3.89 (assume @p561 (forall @t696 (= @t521 @t904))) % 3.61/3.89 (assume @p562 (forall @t240 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t907 @t276)) @t906)))) % 3.61/3.89 (assume @p563 (forall @t230 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t908 @t29)) (tptp.hBOOL (tptp.hAPP @t907 @t30)))))) % 3.61/3.89 (assume @p564 (forall @t230 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t905 @t277)) (tptp.hBOOL (tptp.hAPP @t909 @t276)))))) % 3.61/3.89 (assume @p565 (forall @t413 (=> @t412 (=> @t910 @t870)))) % 3.61/3.89 (assume @p566 (forall @t399 (=> @t412 (=> @t912 @t870)))) % 3.61/3.89 (assume @p567 (forall @t205 (=> @t916 (=> @t870 @t915)))) % 3.61/3.89 (assume @p568 (forall @t180 (=> @t916 (=> @t870 @t910)))) % 3.61/3.89 (assume @p569 (forall @t180 (=> @t916 (=> @t870 @t912)))) % 3.61/3.89 (assume @p570 (forall @t423 (=> @t422 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t332) @t421)) @t906)))) % 3.61/3.89 (assume @p571 (forall @t425 (=> @t422 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t329) @t424)) @t906)))) % 3.61/3.89 (assume @p572 (forall @t668 (=> @t667 (=> @t659 @t862)))) % 3.61/3.89 (assume @p573 (forall @t158 (=> @t576 (=> @t390 @t864)))) % 3.61/3.89 (assume @p574 (forall @t668 (=> @t667 (=> @t857 (=> @t666 @t861))))) % 3.61/3.89 (assume @p575 (forall @t158 (=> @t576 (=> @t858 (=> @t670 @t863))))) % 3.61/3.89 (assume @p576 (forall @t872 (=> @t667 (=> @t464 (=> @t777 @t868))))) % 3.61/3.89 (assume @p577 (forall @t198 (=> @t667 (=> @t409 (=> @t777 @t870))))) % 3.61/3.89 (assume @p578 (forall @t309 (=> @t667 (=> @t390 (or @t858 @t618))))) % 3.61/3.89 (assume @p579 (forall @t139 (=> @t878 (=> @t674 @t876)))) % 3.61/3.89 (assume @p580 (forall @t309 (=> @t576 (=> @t858 @t390)))) % 3.61/3.89 (assume @p581 (forall @t669 (=> @t660 (=> @t659 @t859)))) % 3.61/3.89 (assume @p582 (forall @t198 (=> @t667 (=> @t777 (=> @t464 @t868))))) % 3.61/3.89 (assume @p583 (forall @t198 (=> @t667 (=> @t777 (=> @t409 @t870))))) % 3.61/3.89 (assume @p584 (forall @t139 (=> @t878 (=> @t875 @t675)))) % 3.61/3.89 (assume @p585 (forall @t669 (=> @t660 (=> (not @t659) @t858)))) % 3.61/3.89 (assume @p586 (forall @t309 (=> @t660 (=> @t859 @t659)))) % 3.61/3.89 (assume @p587 (forall @t139 (=> @t676 (= @t674 (or @t874 @t379))))) % 3.61/3.89 (assume @p588 (forall @t139 (=> (tptp.class_Orderings_Opreorder @t23) (= @t874 (and @t674 (not @t392)))))) % 3.61/3.89 (assume @p589 (forall @t139 (=> @t676 (= @t874 (and @t674 @t780))))) % 3.61/3.89 (assume @p590 (forall @t309 (=> @t660 (or @t390 @t857)))) % 3.61/3.89 (assume @p591 (forall @t139 (=> @t878 (= (not @t674) @t877)))) % 3.61/3.89 (assume @p592 (forall @t139 (=> @t878 (= @t875 @t392)))) % 3.61/3.89 (assume @p593 (forall @t856 (= (tptp.hBOOL (tptp.hAPP @t918 @t244)) (and (tptp.hBOOL (tptp.hAPP @t917 @t244)) (not (= @t212 @t244)))))) % 3.61/3.89 (assume @p594 (forall @t926 (=> @t925 (=> @t924 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t922) @t921)) @t919))))) % 3.61/3.89 (assume @p595 (forall @t519 (=> @t478 (=> @t848 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t518) @t502)) @t830))))) % 3.61/3.89 (assume @p596 (forall @t517 (=> @t478 (=> @t845 (=> @t848 (tptp.hBOOL (tptp.hAPP @t927 @t514))))))) % 3.61/3.89 (assume @p597 (forall @t782 (=> @t931 (=> @t930 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t929) @t928)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t130) @t128))))))) % 3.61/3.89 (assume @p598 (forall @t678 (=> @t664 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t662 @t2) @t1)) (and @t663 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t662 @t1) @t2)))))))) % 3.61/3.89 (assume @p599 (forall @t840 (=> @t932 @t855))) % 3.61/3.89 (assume @p600 (forall (@list @t508 @t540 @t23) (=> @t789 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t540) @t783)) (not @t794))))) % 3.61/3.89 (assume @p601 (forall @t322 (=> @t478 (=> @t870 (=> @t451 (=> @t847 @t933)))))) % 3.61/3.89 (assume @p602 (= @t147 @t934)) % 3.61/3.89 (assume @p603 (= @t934 @t147)) % 3.61/3.89 (assume @p604 (forall @t782 (=> @t931 (=> @t930 (= (= @t929 @t928) @t379))))) % 3.61/3.89 (assume @p605 (forall @t937 (= (forall @t787 @t786) (forall @t6 (=> @t936 @t935))))) % 3.61/3.89 (assume @p606 (forall @t937 (= @t788 (exists @t6 (and @t936 @t935))))) % 3.61/3.89 (assume @p607 (forall (@list @t938 @t212) (=> @t838 (=> (tptp.hBOOL (tptp.hAPP @t584 @t938)) (= (= @t836 (tptp.hAPP tptp.c_Int_Onat @t938)) (= @t212 @t938)))))) % 3.61/3.89 (assume @p608 (forall @t90 (=> @t473 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t472) @t82)))))) % 3.61/3.89 (assume @p609 (forall @t425 (=> @t138 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t171) @t168)) @t944)))) % 3.61/3.89 (assume @p610 (forall @t423 (=> @t138 (= @t945 @t944)))) % 3.61/3.89 (assume @p611 (forall @t423 (=> @t138 (=> @t943 (= @t945 @t906))))) % 3.61/3.89 (assume @p612 (forall @t198 (=> @t948 (=> @t844 (=> @t947 @t946))))) % 3.61/3.89 (assume @p613 (forall @t198 (=> @t948 (=> @t844 (=> @t950 @t949))))) % 3.61/3.89 (assume @p614 (forall @t198 (=> @t948 (=> @t844 (=> @t950 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t197) @t82))))))) % 3.61/3.89 (assume @p615 (forall @t198 (=> @t948 (=> @t946 @t951)))) % 3.61/3.89 (assume @p616 (forall @t872 (=> @t948 (=> (tptp.hBOOL (tptp.hAPP @t843 @t197)) @t951)))) % 3.61/3.89 (assume @p617 (forall @t423 (=> @t138 (=> @t941 (= @t945 @t939))))) % 3.61/3.89 (assume @p618 (forall @t198 (=> @t948 (=> @t952 (=> @t947 @t949))))) % 3.61/3.89 (assume @p619 (forall @t198 (=> @t953 (=> @t952 (=> @t950 @t946))))) % 3.61/3.89 (assume @p620 (forall @t180 (=> @t948 (=> @t870 (=> @t956 @t955))))) % 3.61/3.89 (assume @p621 (forall @t180 (=> @t948 @t958))) % 3.61/3.89 (assume @p622 (forall @t180 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t37) @t958))) % 3.61/3.89 (assume @p623 (forall @t336 (=> @t953 (=> @t868 (=> @t959 @t955))))) % 3.61/3.89 (assume @p624 (forall @t336 (=> @t953 (=> @t868 (=> @t959 @t957))))) % 3.61/3.89 (assume @p625 (forall @t261 (=> @t260 (= (tptp.hBOOL (tptp.hAPP @t942 @t259)) @t960)))) % 3.61/3.89 (assume @p626 (forall @t261 (=> @t963 @t962))) % 3.61/3.89 (assume @p627 (forall @t261 (=> @t260 @t962))) % 3.61/3.89 (assume @p628 (forall @t198 (=> @t474 (=> @t844 @t965)))) % 3.61/3.89 (assume @p629 (forall @t198 (=> @t474 (=> @t952 @t967)))) % 3.61/3.89 (assume @p630 (forall @t180 (=> @t478 (=> @t844 @t969)))) % 3.61/3.89 (assume @p631 (forall @t205 (=> @t916 (=> @t870 (=> @t417 @t913))))) % 3.61/3.89 (assume @p632 (forall @t205 (=> @t916 (=> @t409 @t915)))) % 3.61/3.89 (assume @p633 (forall @t84 (=> @t478 (tptp.hBOOL (tptp.hAPP @t843 @t264))))) % 3.61/3.89 (assume @p634 (forall @t84 (=> @t478 (not (tptp.hBOOL (tptp.hAPP @t846 @t82)))))) % 3.61/3.89 (assume @p635 (= @t351 @t970)) % 3.61/3.89 (assume @p636 (forall @t261 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t942 @t276)) @t961)))) % 3.61/3.89 (assume @p637 (forall @t261 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t905 @t276)) @t961)))) % 3.61/3.89 (assume @p638 (forall @t261 (=> @t427 (= (tptp.hBOOL (tptp.hAPP @t908 @t111)) @t960)))) % 3.61/3.89 (assume @p639 (forall @t261 (=> @t260 (= (tptp.hBOOL (tptp.hAPP @t908 @t30)) @t960)))) % 3.61/3.89 (assume @p640 (forall @t972 (=> @t478 (=> (tptp.hBOOL (tptp.hAPP @t846 @t247)) (=> (tptp.hBOOL (tptp.hAPP @t846 @t282)) (tptp.hBOOL (tptp.hAPP @t846 (tptp.hAPP @t971 @t282)))))))) % 3.61/3.89 (assume @p641 (forall @t286 (=> @t478 (=> @t844 (tptp.hBOOL (tptp.hAPP @t843 @t502)))))) % 3.61/3.89 (assume @p642 (forall @t90 (=> @t478 (tptp.hBOOL (tptp.hAPP @t841 @t317))))) % 3.61/3.89 (assume @p643 (forall (@list @t280 @t302 @t30 @t23) (=> @t925 (=> (tptp.hBOOL (tptp.hAPP @t923 @t30)) (= (= (tptp.hAPP @t523 @t302) @t524) @t607))))) % 3.61/3.89 (assume @p644 (forall @t696 (= @t904 (exists (@list @t973) (= @t280 (tptp.hAPP tptp.c_Nat_OSuc @t973)))))) % 3.61/3.89 (assume @p645 (forall @t696 (= (tptp.hBOOL (tptp.hAPP @t899 @t580)) @t520))) % 3.61/3.89 (assume @p646 (forall @t605 (= @t903 (or @t640 (exists (@list @t974) (and (= @t302 (tptp.hAPP tptp.c_Nat_OSuc @t974)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t974) @t280)))))))) % 3.61/3.89 (assume @p647 (forall @t706 (=> @t847 (=> @t776 @t975)))) % 3.61/3.89 (assume @p648 (forall @t575 (=> @t975 (=> @t830 (not @t775))))) % 3.61/3.89 (assume @p649 (forall @t605 (= (tptp.hBOOL (tptp.hAPP @t831 @t645)) (or @t976 @t904)))) % 3.61/3.89 (assume @p650 (forall @t977 (tptp.hBOOL (tptp.hAPP @t885 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t714 @t247)))))) % 3.61/3.89 (assume @p651 (forall @t977 (tptp.hBOOL (tptp.hAPP @t885 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t325 @t590)))))) % 3.61/3.89 (assume @p652 (forall @t605 (= @t882 (exists @t708 (= @t280 (tptp.hAPP tptp.c_Nat_OSuc @t707)))))) % 3.61/3.89 (assume @p653 (forall @t602 (= @t902 @t606))) % 3.61/3.89 (assume @p654 (forall @t605 (= @t903 @t604))) % 3.61/3.89 (assume @p655 (forall @t605 (= @t814 @t882))) % 3.61/3.89 (assume @p656 (forall @t575 (=> @t570 @t895))) % 3.61/3.89 (assume @p657 (forall @t575 (=> @t830 @t595))) % 3.61/3.89 (assume @p658 (forall @t605 (=> @t604 @t901))) % 3.61/3.89 (assume @p659 (forall @t575 (=> @t595 @t830))) % 3.61/3.89 (assume @p660 (tptp.hBOOL (tptp.hAPP @t839 @t527))) % 3.61/3.89 (assume @p661 (forall @t611 (=> @t978 (= @t702 @t607)))) % 3.61/3.89 (assume @p662 (forall @t611 (=> @t978 (= @t979 @t882)))) % 3.61/3.89 (assume @p663 (forall @t605 (= (tptp.hBOOL (tptp.hAPP @t831 @t647)) (and @t976 @t904)))) % 3.61/3.89 (assume @p664 (forall @t611 (= @t979 @t980))) % 3.61/3.89 (assume @p665 (forall @t687 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t705) @t704)) @t980))) % 3.61/3.89 (assume @p666 (forall @t593 (=> @t891 (=> @t981 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t734) @t732)))))) % 3.61/3.89 (assume @p667 (forall @t593 (=> @t891 (=> @t981 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t737) @t736)))))) % 3.61/3.89 (assume @p668 (forall @t593 (=> @t880 (=> @t982 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t556 @t590)) (tptp.hAPP @t556 @t588))))))) % 3.61/3.89 (assume @p669 (forall @t611 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t610) @t609)) @t882))) % 3.61/3.89 (assume @p670 (forall (@list @t154 @t818 @t530 @t983) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t983) @t530)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t818) @t154)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t537 @t983) @t818)) @t634)))))) % 3.61/3.89 (assume @p671 (forall @t840 (= @t985 (or @t852 @t984)))) % 3.61/3.89 (assume @p672 (forall @t575 (=> (tptp.hBOOL (tptp.hAPP @t839 @t247)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t247) @t282)) (not @t583))))) % 3.61/3.89 (assume @p673 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP @t831 @t590)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t986) @t655)) @t830)))) % 3.61/3.89 (assume @p674 (forall @t990 (= @t989 (or @t988 @t520)))) % 3.61/3.89 (assume @p675 (forall @t696 (= @t899 @t601))) % 3.61/3.89 (assume @p676 (forall @t528 (=> @t820 (= @t824 @t147)))) % 3.61/3.89 (assume @p677 (forall (@list @t991) (= (= @t992 @t147) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t991) @t555))))) % 3.61/3.89 (assume @p678 (= @t970 @t580)) % 3.61/3.89 (assume @p679 (forall @t782 (=> @t931 (=> @t930 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t929) @t928)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t130) @t128))))))) % 3.61/3.89 (assume @p680 (forall @t423 (=> @t138 (=> @t943 (= @t993 @t420))))) % 3.61/3.89 (assume @p681 (forall @t423 (=> @t138 (=> @t941 (= @t993 (tptp.hBOOL (tptp.hAPP @t429 @t30))))))) % 3.61/3.89 (assume @p682 (forall @t205 (=> @t948 (=> @t870 (=> @t914 (=> @t947 @t995)))))) % 3.61/3.89 (assume @p683 (forall @t205 (=> @t948 (=> @t870 (=> @t914 (=> @t451 @t995)))))) % 3.61/3.89 (assume @p684 (forall @t205 (=> @t948 (=> @t870 (=> @t417 (=> @t451 (=> @t956 @t994))))))) % 3.61/3.89 (assume @p685 (forall @t205 (=> @t948 (=> @t409 (=> @t914 (=> @t844 @t995)))))) % 3.61/3.89 (assume @p686 (forall @t399 (=> @t998 @t997))) % 3.61/3.89 (assume @p687 (forall @t399 (=> @t948 @t997))) % 3.61/3.89 (assume @p688 (forall @t413 (=> @t998 @t999))) % 3.61/3.89 (assume @p689 (forall @t413 (=> @t948 @t999))) % 3.61/3.89 (assume @p690 (forall @t399 (=> @t948 (=> @t465 @t1000)))) % 3.61/3.89 (assume @p691 (forall @t413 (=> @t948 (=> @t462 @t1000)))) % 3.61/3.89 (assume @p692 (forall @t198 (=> @t474 (=> @t844 (=> @t447 @t964))))) % 3.61/3.89 (assume @p693 (forall @t198 (=> @t474 (=> @t451 @t965)))) % 3.61/3.89 (assume @p694 (forall @t180 (=> @t474 (=> @t844 (=> @t476 @t968))))) % 3.61/3.89 (assume @p695 (forall @t180 (=> @t474 (=> @t451 @t969)))) % 3.61/3.89 (assume @p696 (forall @t198 (=> @t474 (=> @t952 (=> @t450 @t966))))) % 3.61/3.89 (assume @p697 (forall @t198 (=> @t474 (=> @t448 @t967)))) % 3.61/3.89 (assume @p698 (forall @t309 (=> @t473 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t495) @t82)))))) % 3.61/3.89 (assume @p699 (forall @t139 (=> @t138 (= (tptp.hBOOL (tptp.hAPP @t942 @t137)) (or (not @t131) (not @t129)))))) % 3.61/3.89 (assume @p700 (forall @t323 (=> @t478 (=> @t933 (=> @t447 @t870))))) % 3.61/3.89 (assume @p701 (forall @t84 (=> @t478 (tptp.hBOOL (tptp.hAPP @t843 @t314))))) % 3.61/3.89 (assume @p702 (forall @t286 (=> @t478 (=> @t848 (tptp.hBOOL (tptp.hAPP @t846 @t563)))))) % 3.61/3.89 (assume @p703 (forall @t286 (=> @t478 (=> @t848 (tptp.hBOOL (tptp.hAPP @t927 @t563)))))) % 3.61/3.89 (assume @p704 (forall @t286 (=> @t478 (=> @t848 (tptp.hBOOL (tptp.hAPP @t846 @t652)))))) % 3.61/3.89 (assume @p705 (forall @t706 (=> @t1002 (=> @t1001 (tptp.hBOOL (tptp.hAPP @t826 @t559)))))) % 3.61/3.89 (assume @p706 (forall @t706 (=> @t1002 (=> @t1001 (tptp.hBOOL (tptp.hAPP @t826 @t693)))))) % 3.61/3.89 (assume @p707 (forall @t706 (=> @t1002 (=> @t1001 (tptp.hBOOL (tptp.hAPP @t879 @t559)))))) % 3.61/3.89 (assume @p708 (forall (@list @t282 @t396) (=> @t1004 (=> @t847 @t722)))) % 3.61/3.89 (assume @p709 (forall @t850 (= (tptp.hBOOL (tptp.hAPP @t1005 @t212)) @t849))) % 3.61/3.89 (assume @p710 (forall @t611 (=> @t978 (= @t802 @t801)))) % 3.61/3.89 (assume @p711 (forall @t557 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t729) @t728)) (=> @t981 @t776)))) % 3.61/3.89 (assume @p712 (forall @t611 (=> @t978 (= @t1006 @t604)))) % 3.61/3.89 (assume @p713 (forall @t687 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t705) @t704)) @t1007))) % 3.61/3.89 (assume @p714 (forall @t611 (= @t1006 @t1007))) % 3.61/3.89 (assume @p715 (forall @t850 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t537 (tptp.hAPP @t637 @t212)) @t212)) @t555)) @t1008))) % 3.61/3.89 (assume @p716 (forall @t605 (=> (tptp.hBOOL (tptp.hAPP @t839 @t302)) (= (= (tptp.hAPP (tptp.hAPP @t372 @t302) @t280) @t527) (and (= @t302 @t527) (= @t280 @t527)))))) % 3.61/3.89 (assume @p717 (forall @t840 (= @t985 @t835))) % 3.61/3.89 (assume @p718 (forall @t840 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t1009 @t527)) @t212)) @t852))) % 3.61/3.89 (assume @p719 (forall (@list @t154 @t530) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t530) @t154)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t633 @t527)) @t154))))) % 3.61/3.89 (assume @p720 (forall @t1010 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t154) @t282)) (=> (tptp.hBOOL (tptp.hAPP @t839 @t282)) (tptp.hBOOL (tptp.hAPP @t792 @t282)))))) % 3.61/3.89 (assume @p721 (forall @t619 (=> @t744 (=> @t750 (= (tptp.hAPP (tptp.hAPP @t324 @t1012) @t1011) (tptp.hAPP tptp.c_Int_Onat @t803)))))) % 3.61/3.89 (assume @p722 (forall @t821 (=> @t825 (=> (tptp.hBOOL (tptp.hAPP @t584 @t818)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t631 @t818)) (tptp.hAPP (tptp.hAPP @t324 @t824) @t1013)))))) % 3.61/3.89 (assume @p723 (forall @t619 (=> @t744 (=> @t750 (= (tptp.hAPP (tptp.hAPP @t385 @t1012) @t1011) (tptp.hAPP tptp.c_Int_Onat @t749)))))) % 3.61/3.89 (assume @p724 (forall @t821 (=> @t825 (= @t819 (tptp.hAPP (tptp.hAPP @t385 @t824) @t1013))))) % 3.61/3.89 (assume @p725 (forall @t782 (=> @t931 (=> @t930 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t929) @t928)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t130) @t128))))))) % 3.61/3.89 (assume @p726 (forall @t286 (=> @t478 (=> @t844 (=> @t842 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t563) @t502))))))) % 3.61/3.89 (assume @p727 (forall @t286 (=> @t478 (=> @t844 (=> @t842 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t37 @t652) @t264))))))) % 3.61/3.89 (assume @p728 (forall @t519 (=> @t478 (=> @t848 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t518) @t502)) @t570))))) % 3.61/3.89 (assume @p729 (forall @t926 (=> @t925 (=> @t924 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t922) @t921)) @t1014))))) % 3.61/3.89 (assume @p730 (forall @t323 (=> @t478 (=> (= @t502 @t561) (=> @t451 (=> @t447 (=> @t847 @t143))))))) % 3.61/3.89 (assume @p731 (forall @t1015 (=> @t157 (=> (or @t847 (= @t48 @t264)) (tptp.hBOOL (tptp.hAPP @t566 @t344)))))) % 3.61/3.89 (assume @p732 (forall @t745 (=> @t744 (= (tptp.hAPP (tptp.hAPP @t639 @t1012) @t282) (tptp.hAPP tptp.c_Int_Onat @t743))))) % 3.61/3.89 (assume @p733 (forall @t1010 (=> @t825 (= (tptp.hAPP tptp.c_Int_Onat @t1016) (tptp.hAPP (tptp.hAPP @t639 @t824) @t282))))) % 3.61/3.89 (assume @p734 (forall @t528 (=> @t825 (tptp.hBOOL (tptp.hAPP @t839 @t638))))) % 3.61/3.89 (assume @p735 (forall @t605 (=> @t976 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t647) @t302)) @t738)))) % 3.61/3.89 (assume @p736 (forall @t605 (=> @t976 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t703 @t302)) @t302)) @t738)))) % 3.61/3.89 (assume @p737 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t986) @t655)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351) @t590)) @t570)))) % 3.61/3.89 (assume @p738 (forall @t1020 (=> @t1019 (=> @t1018 (=> (tptp.hBOOL (tptp.hAPP @t1017 @t44)) (tptp.hBOOL (tptp.hAPP @t1005 @t49))))))) % 3.61/3.89 (assume @p739 (forall @t1020 (=> @t1019 (=> @t1018 (=> @t1022 (tptp.hBOOL (tptp.hAPP @t1021 @t527))))))) % 3.61/3.89 (assume @p740 (forall @t1030 (=> @t1029 (=> @t1027 (=> @t1024 (tptp.hBOOL (tptp.hAPP @t584 @t1023))))))) % 3.61/3.89 (assume @p741 (forall @t1030 (=> @t1033 (=> @t1032 (=> @t1024 (tptp.hBOOL (tptp.hAPP @t1031 @t555))))))) % 3.61/3.89 (assume @p742 (forall (@list @t508 @t280 @t302) (=> (=> @t882 @t1034) (=> (=> @t607 @t1034) (=> (=> @t902 @t1034) @t1034))))) % 3.61/3.89 (assume @p743 (forall (@list @t1035 @t1036) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1036) @t1035)) (not (= @t1036 @t1035))))) % 3.61/3.89 (assume @p744 (forall @t706 (=> @t898 @t483))) % 3.61/3.89 (assume @p745 (forall @t573 (not (tptp.hBOOL (tptp.hAPP @t826 @t282))))) % 3.61/3.89 (assume @p746 (forall @t619 (=> @t773 (=> (not @t833) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t155) @t48)))))) % 3.61/3.89 (assume @p747 (forall @t605 (= @t884 (or @t882 @t902)))) % 3.61/3.89 (assume @p748 (forall @t619 (or (tptp.hBOOL (tptp.hAPP @t1037 @t155)) @t618 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t155) @t48))))) % 3.61/3.89 (assume @p749 (forall @t1044 (=> @t1043 (=> @t1033 (=> @t1040 (=> @t1032 (=> @t1024 (=> @t1039 @t1038)))))))) % 3.61/3.89 (assume @p750 (forall @t1048 (=> @t1047 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t119) @t555)) (=> (tptp.hBOOL (tptp.hAPP @t1046 @t119)) (=> (tptp.hBOOL (tptp.hAPP @t1046 @t1025)) @t1045)))))) % 3.61/3.89 (assume @p751 (forall @t1044 (=> @t1043 (=> @t1029 (=> @t1027 (=> @t1022 (=> @t1024 (=> @t1039 @t1045)))))))) % 3.61/3.89 (assume @p752 (forall @t1048 (=> @t1047 (=> @t1032 (=> (tptp.hBOOL (tptp.hAPP @t1026 @t96)) (=> @t1040 @t1038)))))) % 3.61/3.89 (assume @p753 (forall @t656 (= (tptp.c_Int_Onat__aux @t590 @t282) (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP tptp.c_Int_Onat @t590)) @t282)))) % 3.61/3.89 (assume @p754 (forall @t990 (= @t989 (or @t520 @t988)))) % 3.61/3.89 (assume @p755 (forall @t752 (=> (tptp.hBOOL (tptp.hAPP @t832 @t658)) (or (= @t48 @t147) (= @t48 @t580))))) % 3.61/3.89 (assume @p756 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t584)) % 3.61/3.89 (assume @p757 (forall @t1053 (=> @t676 (=> @t1052 @t816)))) % 3.61/3.89 (assume @p758 (forall @t817 (=> @t676 (=> @t1052 (=> @t781 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t661) @t815))))))) % 3.61/3.89 (assume @p759 (forall @t113 (=> @t963 (= (tptp.c_Polynomial_Opos__poly @t23 @t33) (or (tptp.c_Polynomial_Opos__poly @t23 @t21) (and @t76 @t960)))))) % 3.61/3.89 (assume @p760 (forall (@list @t540 @t508 @t169) (=> (tptp.hBOOL (tptp.hAPP @t839 @t169)) (=> (forall @t6 (=> @t509 (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP @t1054 @t169))))) (=> (tptp.hBOOL (tptp.hAPP @t584 @t540)) (forall @t6 (=> @t509 (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP @t1054 (tptp.hAPP @t543 @t169))))))))))) % 3.61/3.89 (assume @p761 (forall @t84 (=> @t499 (not (tptp.c_Polynomial_Opos__poly @t37 @t62))))) % 3.61/3.89 (assume @p762 (forall @t1057 (=> @t499 (=> @t1056 (=> @t1055 (tptp.c_Polynomial_Opos__poly @t37 @t105)))))) % 3.61/3.89 (assume @p763 (forall @t1057 (=> @t499 (=> @t1056 (=> @t1055 (tptp.c_Polynomial_Opos__poly @t37 @t92)))))) % 3.61/3.89 (assume @p764 (forall @t60 (=> @t499 (or @t122 @t1056 (tptp.c_Polynomial_Opos__poly @t37 @t287))))) % 3.61/3.89 (assume @p765 (forall @t800 (=> @t797 (=> @t799 (exists @t708 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t348) @t280)) (forall (@list @t1058) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1058) @t348)) (not (tptp.hBOOL (tptp.hAPP @t508 @t1058))))) (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP (tptp.hAPP @t324 @t348) @t351))))))))) % 3.61/3.89 (assume @p766 (forall (@list @t302 @t212) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t836) @t302)) (and (=> @t838 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t541 @t212) @t1059))) (=> (not @t838) @t640))))) % 3.61/3.89 (assume @p767 (forall @t706 (tptp.hBOOL (tptp.hAPP @t1063 @t1060)))) % 3.61/3.89 (assume @p768 (forall @t706 (tptp.hBOOL (tptp.hAPP @t1065 @t1060)))) % 3.61/3.89 (assume @p769 (forall @t573 (= (tptp.hAPP tptp.c_Int_Onat @t1061) @t282))) % 3.61/3.89 (assume @p770 (forall @t782 (= (= @t1067 @t1066) @t379))) % 3.61/3.89 (assume @p771 (forall @t605 (= (= @t1059 @t1068) @t607))) % 3.61/3.89 (assume @p772 (forall @t1071 (=> (tptp.class_Nat_Osemiring__char__0 @t23) (= (= @t1070 @t1069) @t607)))) % 3.61/3.89 (assume @p773 (forall @t745 (= (tptp.hAPP (tptp.hAPP @t369 @t1072) @t282) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t639 @t48) @t282))))) % 3.61/3.89 (assume @p774 (forall @t575 (= @t1075 @t1073))) % 3.61/3.89 (assume @p775 (forall @t575 (= @t1073 @t1075))) % 3.61/3.89 (assume @p776 (forall @t782 (= @t1076 @t778))) % 3.61/3.89 (assume @p777 (forall @t782 (= @t778 @t1076))) % 3.61/3.89 (assume @p778 (forall @t972 (=> @t1078 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t1074) (tptp.hAPP (tptp.hAPP @t342 @t1077) @t282))))) % 3.61/3.89 (assume @p779 (= @t527 @t1079)) % 3.61/3.89 (assume @p780 (= @t1079 @t527)) % 3.61/3.89 (assume @p781 (forall @t619 (= (tptp.hAPP (tptp.hAPP @t372 @t1072) @t1080) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t385 @t48) @t155))))) % 3.61/3.89 (assume @p782 (forall @t575 (= @t1082 @t1081))) % 3.61/3.89 (assume @p783 (forall @t575 (= @t1081 @t1082))) % 3.61/3.89 (assume @p784 (forall @t602 (= (= (tptp.hAPP @t545 @t1068) @t1059) @t1083))) % 3.61/3.89 (assume @p785 (forall @t619 (= (tptp.hAPP (tptp.hAPP @t537 @t1072) @t1080) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP @t680 @t155))))) % 3.61/3.89 (assume @p786 (forall @t575 (= (tptp.hAPP @t1085 @t1061) @t1084))) % 3.61/3.89 (assume @p787 (forall (@list @t154 @t282 @t247) (= (tptp.hAPP @t1085 (tptp.hAPP (tptp.hAPP @t537 @t1061) @t154)) (tptp.hAPP (tptp.hAPP @t537 @t1084) @t154)))) % 3.61/3.89 (assume @p788 (forall @t840 (= @t835 (exists @t378 (= @t212 (tptp.hAPP @t1009 @t1086)))))) % 3.61/3.89 (assume @p789 (forall @t782 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1067) @t1066)) @t1014))) % 3.61/3.89 (assume @p790 (forall @t605 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1059) @t1068)) @t604))) % 3.61/3.89 (assume @p791 (forall @t937 (= (forall @t6 (=> @t936 @t509)) (forall @t6 @t1087)))) % 3.61/3.89 (assume @p792 (forall @t937 (= (exists @t6 (and @t936 @t509)) (exists @t6 @t1087)))) % 3.61/3.89 (assume @p793 (forall @t528 (tptp.hBOOL (tptp.hAPP @t584 (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t154))))) % 3.61/3.89 (assume @p794 (forall @t573 (tptp.hBOOL (tptp.hAPP @t584 @t1061)))) % 3.61/3.89 (assume @p795 (= @t555 @t1088)) % 3.61/3.89 (assume @p796 (forall @t696 (= (= @t1068 @t555) @t520))) % 3.61/3.89 (assume @p797 (= @t1088 @t555)) % 3.61/3.89 (assume @p798 (forall @t84 (=> @t1078 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t351) @t264)))) % 3.61/3.89 (assume @p799 (forall @t972 (=> @t1078 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t559) (tptp.hAPP (tptp.hAPP @t66 @t1077) @t1089))))) % 3.61/3.89 (assume @p800 (forall @t972 (=> @t1078 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t326) (tptp.hAPP (tptp.hAPP @t68 @t1077) @t1089))))) % 3.61/3.89 (assume @p801 (forall @t1071 (=> @t925 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t1070) @t1069)) @t604)))) % 3.61/3.89 (assume @p802 (forall @t84 (=> @t1078 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t147) @t82)))) % 3.61/3.89 (assume @p803 (forall @t316 (=> @t478 (not (tptp.hBOOL (tptp.hAPP @t1090 @t82)))))) % 3.61/3.89 (assume @p804 (forall @t316 (=> @t478 (tptp.hBOOL (tptp.hAPP @t356 @t1077))))) % 3.61/3.89 (assume @p805 (forall @t319 (=> @t478 (tptp.hBOOL (tptp.hAPP @t356 @t1089))))) % 3.61/3.89 (assume @p806 (forall @t782 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1067) @t1066)) @t919))) % 3.61/3.89 (assume @p807 (forall @t605 (= (tptp.hBOOL (tptp.hAPP @t1091 @t1068)) @t882))) % 3.61/3.89 (assume @p808 (forall @t706 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1061) (tptp.hAPP @t545 @t1060)))))) % 3.61/3.89 (assume @p809 (forall @t1071 (=> @t925 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t1070) @t1069)) @t882)))) % 3.61/3.89 (assume @p810 (forall @t972 (=> @t478 (=> @t830 @t1092)))) % 3.61/3.89 (assume @p811 (forall @t972 (=> @t478 (=> @t1092 @t830)))) % 3.61/3.89 (assume @p812 (forall @t582 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1093) @t555))))) % 3.61/3.89 (assume @p813 (forall @t316 (=> @t1078 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t594) (tptp.hAPP @t313 @t1077))))) % 3.61/3.89 (assume @p814 (forall @t696 (= (tptp.hBOOL (tptp.hAPP @t1094 @t555)) @t520))) % 3.61/3.89 (assume @p815 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t580) @t527)) % 3.61/3.89 (assume @p816 (forall @t840 (= @t852 (exists @t378 (= @t212 (tptp.hAPP @t1009 @t1095)))))) % 3.61/3.89 (assume @p817 (forall @t623 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t594) (tptp.hAPP @t637 @t1060)))) % 3.61/3.89 (assume @p818 (forall @t528 (and @t1097 (=> (not @t825) (= @t1096 @t555))))) % 3.61/3.89 (assume @p819 (forall @t1098 (= (= @t1059 @t212) (and (= @t302 @t836) @t838)))) % 3.61/3.89 (assume @p820 (forall @t528 @t1097)) % 3.61/3.89 (assume @p821 (forall @t602 (= (tptp.hBOOL (tptp.hAPP @t1094 (tptp.hAPP @t545 @t1059))) @t1083))) % 3.61/3.89 (assume @p822 (forall @t1098 (= (tptp.hBOOL (tptp.hAPP @t881 @t836)) (tptp.hBOOL (tptp.hAPP @t1091 @t212))))) % 3.61/3.89 (assume @p823 (forall @t573 (tptp.hBOOL (tptp.hAPP @t1063 @t555)))) % 3.61/3.89 (assume @p824 (forall @t573 (= (tptp.hAPP tptp.c_Int_Onat @t1062) @t147))) % 3.61/3.89 (assume @p825 (forall @t1099 (=> @t925 (= (tptp.hBOOL (tptp.hAPP @t942 @t1069)) @t904)))) % 3.61/3.89 (assume @p826 (forall @t696 (= (tptp.hBOOL (tptp.hAPP @t839 @t1068)) @t904))) % 3.61/3.89 (assume @p827 (forall @t593 (=> @t880 (=> @t981 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t1100 @t590)) (tptp.hAPP @t1100 @t588))))))) % 3.61/3.89 (assume @p828 (forall (@list @t244 @t302) (= (= @t302 @t837) @t1101))) % 3.61/3.89 (assume @p829 (forall @t1102 (= (= @t837 @t302) @t1101))) % 3.61/3.89 (assume @p830 (forall (@list @t991 @t508) (= (tptp.hBOOL (tptp.hAPP @t508 @t992)) (and (forall @t378 (=> (= @t991 @t1086) (tptp.hBOOL (tptp.hAPP @t508 @t377)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t991) @t555)) @t796))))) % 3.61/3.89 (assume @p831 (forall @t573 (not (tptp.hBOOL (tptp.hAPP @t584 @t1064))))) % 3.61/3.89 (assume @p832 (forall @t573 (tptp.hBOOL (tptp.hAPP @t1065 @t555)))) % 3.61/3.89 (assume @p833 (forall @t1102 (=> @t932 (= (tptp.hBOOL (tptp.hAPP @t853 @t302)) (tptp.hBOOL (tptp.hAPP @t851 @t1059)))))) % 3.61/3.89 (assume @p834 (forall @t1099 (=> @t1103 (= @t1069 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t23 (tptp.hAPP (tptp.c_COMBC @t23 @t23 @t23 @t136) @t270) @t280 @t111))))) % 3.61/3.89 (assume @p835 (forall @t752 (=> (tptp.hBOOL (tptp.hAPP @t1037 @t555)) (exists @t378 (= @t48 (tptp.hAPP @t545 @t1095)))))) % 3.61/3.89 (assume @p836 (forall (@list @t991 @t1104 @t23) (=> @t1103 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t23 @t1104 @t147 @t991) @t991)))) % 3.61/3.89 (assume @p837 (forall (@list @t991 @t280 @t1104 @t23) (=> @t1103 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t23 @t1104 @t600 @t991) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t23 @t1104 @t280 (tptp.hAPP @t1104 @t991)))))) % 3.61/3.89 (assume @p838 (forall @t582 (=> @t982 (exists @t378 (and (tptp.hBOOL (tptp.hAPP @t831 @t377)) (= @t396 @t1086)))))) % 3.61/3.89 (assume @p839 (forall (@list @t396 @t37) (=> @t503 (and (=> @t1106 (= @t1105 (tptp.hAPP @t266 (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t545 @t396)))))) (=> (not @t1106) (= @t1105 (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 (tptp.hAPP tptp.c_Int_Onat @t396)))))))) % 3.61/3.89 (assume @p840 (forall @t319 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t1061) @t1089)))) % 3.61/3.89 (assume @p841 (forall @t573 (= (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint @t1061) @t1061))) % 3.61/3.89 (assume @p842 (forall @t1109 (=> @t26 (= (= @t1108 @t1107) @t984)))) % 3.61/3.89 (assume @p843 (forall (@list @t282 @t154 @t37) (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t1016) (tptp.hAPP (tptp.hAPP @t342 @t1110) @t282))))) % 3.61/3.89 (assume @p844 (forall @t1111 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t546) (tptp.hAPP @t266 @t1110))))) % 3.61/3.89 (assume @p845 (forall @t84 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t527) @t264)))) % 3.61/3.89 (assume @p846 (forall @t1113 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t532) (tptp.hAPP (tptp.hAPP @t66 @t1112) @t1110))))) % 3.61/3.89 (assume @p847 (forall @t1113 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t634) (tptp.hAPP (tptp.hAPP @t68 @t1112) @t1110))))) % 3.61/3.89 (assume @p848 (forall @t1109 (=> @t963 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t1108) @t1107)) @t835)))) % 3.61/3.89 (assume @p849 (forall @t84 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 @t555) @t82)))) % 3.61/3.89 (assume @p850 (forall @t1115 (=> @t26 (= (= @t111 @t1107) @t1114)))) % 3.61/3.89 (assume @p851 (forall @t1115 (=> @t26 (= (= @t1107 @t111) @t1114)))) % 3.61/3.89 (assume @p852 (forall @t1109 (=> @t963 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t1108) @t1107)) @t852)))) % 3.61/3.89 (assume @p853 (forall @t1115 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t467 @t1107)) @t838)))) % 3.61/3.89 (assume @p854 (forall @t1115 (=> @t963 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t1107) @t111)) (tptp.hBOOL (tptp.hAPP @t917 @t555)))))) % 3.61/3.89 (assume @p855 (forall @t1115 (=> @t963 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t1107) @t111)) @t1008)))) % 3.61/3.89 (assume @p856 (forall @t1115 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t942 @t1107)) @t849)))) % 3.61/3.89 (assume @p857 (forall @t1111 (=> @t503 (=> @t825 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t824) @t1110))))) % 3.61/3.89 (assume @p858 (forall @t1053 (=> @t676 (=> (forall @t55 (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t3) @t53)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t581 @t53) @t3)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t5) @t54)))) @t1052)))) % 3.61/3.89 (assume @p859 (forall @t1015 (=> @t298 (=> @t847 (= (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP @t343 @t1118)) @t48) @t344))))) % 3.61/3.89 (assume @p860 (forall @t1113 (=> @t503 (= (tptp.c_Int_Oring__1__class_Oof__int @t37 (tptp.hAPP (tptp.hAPP @t1120 @t530) @t154)) (tptp.hAPP (tptp.hAPP @t1119 @t1112) @t1110))))) % 3.61/3.89 (assume @p861 (forall @t1124 (=> @t830 (=> (tptp.hBOOL (tptp.hAPP @t829 @t717)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1123) @t1122)))))) % 3.61/3.89 (assume @p862 (forall (@list @t282 @t396 @t588) (=> @t897 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t1125 @t282)) @t396))))) % 3.61/3.89 (assume @p863 (forall @t575 (tptp.hBOOL (tptp.hAPP @t1128 @t594)))) % 3.61/3.89 (assume @p864 (forall @t706 (=> @t847 (=> @t975 (tptp.hBOOL (tptp.hAPP @t1128 @t247)))))) % 3.61/3.89 (assume @p865 (forall @t602 (= (tptp.hBOOL (tptp.hAPP @t831 (tptp.hAPP @t1129 @t302))) @t882))) % 3.61/3.89 (assume @p866 (forall @t575 (=> @t894 @t1130))) % 3.61/3.89 (assume @p867 (forall @t1135 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t991) @t1134)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1132) @t1131))))) % 3.61/3.89 (assume @p868 (forall @t174 (=> @t427 (=> @t1138 (= @t906 (tptp.hBOOL (tptp.hAPP @t940 @t169))))))) % 3.61/3.89 (assume @p869 (forall @t771 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44) @t96)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35) @t44)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t1116 @t44) @t35)) (tptp.hAPP (tptp.hAPP @t1116 @t96) @t35))))))) % 3.61/3.89 (assume @p870 (forall @t611 (=> @t1143 (=> @t1142 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1141) @t1139)) @t882))))) % 3.61/3.89 (assume @p871 (forall @t230 (=> @t427 (= @t420 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t1137) @t111)))))) % 3.61/3.89 (assume @p872 (forall @t230 (=> @t427 (= @t906 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t1137) @t111)))))) % 3.61/3.89 (assume @p873 (forall @t1150 (=> @t306 (= @t1149 (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t67 @t1148)) @t1146))))) % 3.61/3.89 (assume @p874 (forall @t1157 (=> @t1156 (= @t1155 (= @t1152 @t169))))) % 3.61/3.89 (assume @p875 (forall @t1157 (=> @t1156 (= @t1155 (= @t166 @t1158))))) % 3.61/3.89 (assume @p876 (forall @t1150 (=> @t152 (= @t1149 (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t1145 @t1148)) @t1146)) (tptp.hAPP @t97 @t1148)))))) % 3.61/3.89 (assume @p877 (forall @t90 (=> @t275 (= (tptp.hAPP (tptp.hAPP @t1119 @t82) @t44) @t274)))) % 3.61/3.89 (assume @p878 (forall @t198 (=> @t275 @t1161))) % 3.61/3.89 (assume @p879 (forall @t198 (=> @t285 @t1161))) % 3.61/3.89 (assume @p880 (forall @t198 (=> @t275 (= (tptp.hAPP @t1159 @t294) @t118)))) % 3.61/3.89 (assume @p881 (forall @t309 (=> @t267 (= @t1162 (tptp.hAPP @t163 @t389))))) % 3.61/3.89 (assume @p882 (forall @t706 (= (tptp.hAPP @t1117 @t679) @t147))) % 3.61/3.89 (assume @p883 (forall @t605 (= (= @t1163 @t147) @t604))) % 3.61/3.89 (assume @p884 (forall @t575 (=> @t570 @t1164))) % 3.61/3.89 (assume @p885 (forall @t706 (=> @t571 (= @t1166 (tptp.hAPP tptp.c_Nat_OSuc @t1127))))) % 3.61/3.89 (assume @p886 (forall @t557 (=> @t1168 (=> @t1004 (=> @t571 @t1167))))) % 3.61/3.89 (assume @p887 (forall @t557 (=> @t1168 (=> @t1167 (=> @t571 @t1004))))) % 3.61/3.89 (assume @p888 (forall @t1173 (=> @t1172 (= @t1171 @t1170)))) % 3.61/3.89 (assume @p889 (forall @t1173 (=> @t1172 (= @t1170 @t1171)))) % 3.61/3.89 (assume @p890 (forall @t1173 (=> @t1172 (= @t1175 @t1174)))) % 3.61/3.89 (assume @p891 (forall @t1135 (=> @t1178 (= (= @t1176 @t540) (= @t1131 (tptp.hAPP @t683 @t991)))))) % 3.61/3.89 (assume @p892 (forall @t706 (=> @t571 (= (tptp.hAPP (tptp.hAPP @t324 @t1127) @t282) @t247)))) % 3.61/3.89 (assume @p893 (forall (@list @t991 @t1131 @t540) (=> (tptp.hBOOL (tptp.hAPP @t808 @t1131)) (= (tptp.hBOOL (tptp.hAPP @t1177 @t1134)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1132) @t1131)))))) % 3.61/3.89 (assume @p894 (forall @t1173 (=> @t1172 (= @t1174 @t1175)))) % 3.61/3.89 (assume @p895 (forall @t706 (=> @t571 @t1130))) % 3.61/3.89 (assume @p896 (forall (@list @t247 @t282 @t396) (=> @t722 (tptp.hBOOL (tptp.hAPP @t569 (tptp.hAPP @t1179 @t396)))))) % 3.61/3.89 (assume @p897 (forall (@list @t991 @t540 @t1131) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1134) @t991)) (tptp.hBOOL (tptp.hAPP @t1180 @t1132))))) % 3.61/3.89 (assume @p898 (forall @t1173 (=> @t1172 (= (tptp.hAPP @t1181 @t1169) (tptp.hAPP (tptp.hAPP @t1116 @t715) @t588))))) % 3.61/3.89 (assume @p899 (forall @t573 (= (tptp.hAPP @t1182 @t351) @t282))) % 3.61/3.89 (assume @p900 (forall @t575 (= (tptp.hAPP @t1126 @t596) (tptp.hAPP (tptp.hAPP @t1116 @t1183) @t282)))) % 3.61/3.89 (assume @p901 (forall @t593 (= @t1185 (tptp.hAPP (tptp.hAPP @t1116 (tptp.hAPP @t1181 @t396)) @t588)))) % 3.61/3.89 (assume @p902 (forall (@list @t130 @t1186 @t345 @t56 @t23) (=> (tptp.class_Groups_Ominus @t23) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t347) @t345) @t1186) @t130) (tptp.hAPP (tptp.hAPP @t1136 @t346) (tptp.hAPP @t1186 @t130)))))) % 3.61/3.89 (assume @p903 (forall @t486 (=> @t285 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t37 @t1188) @t282) (tptp.hAPP (tptp.hAPP @t1119 @t407) @t485))))) % 3.61/3.89 (assume @p904 (forall @t323 (=> @t285 (= (tptp.hAPP (tptp.hAPP @t1187 @t283) @t321) (tptp.c_Polynomial_Omonom @t37 @t1160 @t282))))) % 3.61/3.89 (assume @p905 (forall @t52 (=> @t293 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t37 @t1188) @t48) (tptp.hAPP (tptp.hAPP @t1119 @t65) @t50))))) % 3.61/3.89 (assume @p906 (forall @t100 (=> @t293 (= (tptp.hAPP (tptp.hAPP @t78 @t1160) @t36) (tptp.hAPP @t1189 @t99))))) % 3.61/3.89 (assume @p907 (forall @t121 (=> @t285 (= (tptp.hAPP (tptp.hAPP @t1187 @t46) @t120) (tptp.hAPP (tptp.hAPP @t41 @t1160) @t1188))))) % 3.61/3.89 (assume @p908 (forall @t174 (=> @t291 (=> @t1138 (= @t31 @t172))))) % 3.61/3.89 (assume @p909 (forall @t28 (=> @t291 (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t74) @t21) @t20) (tptp.c_Polynomial_OAbs__poly @t23 (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP (tptp.hAPP @t364 @t1136) @t363)) @t362)))))) % 3.61/3.89 (assume @p910 (forall @t682 (= (tptp.hAPP (tptp.hAPP @t385 @t1127) @t396) (tptp.hAPP (tptp.hAPP @t1116 @t726) @t694)))) % 3.61/3.89 (assume @p911 (forall @t557 (= (tptp.hAPP @t727 @t1127) (tptp.hAPP (tptp.hAPP @t1116 @t729) @t728)))) % 3.61/3.89 (assume @p912 (forall @t611 (=> @t1143 (=> @t1142 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1141) @t1139)) @t604))))) % 3.61/3.89 (assume @p913 (forall @t557 (=> (tptp.hBOOL (tptp.hAPP @t719 @t247)) (=> @t722 (= (tptp.hAPP (tptp.hAPP @t1116 (tptp.hAPP @t1126 @t396)) (tptp.hAPP @t1117 @t396)) @t1127))))) % 3.61/3.89 (assume @p914 (forall @t611 (=> @t1143 (=> @t1142 (= (= @t1141 @t1139) @t607))))) % 3.61/3.89 (assume @p915 (forall @t656 (=> (tptp.hBOOL (tptp.hAPP @t689 @t282)) (= (tptp.hAPP @t1117 (tptp.hAPP @t1117 @t590)) @t590)))) % 3.61/3.89 (assume @p916 (forall @t1124 (=> @t570 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t1126 @t717)) (tptp.hAPP @t1117 @t717)))))) % 3.61/3.89 (assume @p917 (forall @t1124 (=> @t570 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1123) @t1122))))) % 3.61/3.89 (assume @p918 (forall @t575 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1127) @t247)))) % 3.61/3.89 (assume @p919 (forall @t725 (= (tptp.hAPP @t1190 @t681) @t1127))) % 3.61/3.89 (assume @p920 (forall @t557 (= (tptp.hAPP (tptp.hAPP @t1116 @t1191) @t888) @t1127))) % 3.61/3.89 (assume @p921 (forall @t593 (= @t1185 (tptp.hAPP @t1181 @t713)))) % 3.61/3.89 (assume @p922 (forall @t706 (= (tptp.hAPP @t1179 @t282) @t247))) % 3.61/3.89 (assume @p923 (forall @t575 (= (tptp.hAPP (tptp.hAPP @t1116 @t326) @t282) @t247))) % 3.61/3.89 (assume @p924 (forall @t682 (= (tptp.hAPP (tptp.hAPP @t1116 @t1166) (tptp.hAPP tptp.c_Nat_OSuc @t396)) (tptp.hAPP (tptp.hAPP @t1116 @t1127) @t396)))) % 3.61/3.89 (assume @p925 (forall @t575 (= (tptp.hAPP @t1165 @t596) @t1127))) % 3.61/3.89 (assume @p926 (forall @t575 (=> @t1164 (=> (= (tptp.hAPP @t1117 @t247) @t147) @t482)))) % 3.61/3.89 (assume @p927 (forall @t623 (= (tptp.hAPP @t1126 @t247) @t147))) % 3.61/3.89 (assume @p928 (forall @t623 (= (tptp.hAPP @t1126 @t147) @t247))) % 3.61/3.89 (assume @p929 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t1116 @t147) @t282) @t147))) % 3.61/3.89 (assume @p930 (forall @t158 (=> @t267 (=> @t567 (=> (tptp.hBOOL (tptp.hAPP @t566 @t154)) (tptp.hBOOL (tptp.hAPP @t566 (tptp.hAPP @t1147 @t154)))))))) % 3.61/3.89 (assume @p931 (forall @t198 (=> @t285 (= (tptp.hAPP @t266 @t1160) (tptp.hAPP @t1192 @t44))))) % 3.61/3.89 (assume @p932 (forall @t198 (=> @t275 (= (tptp.hAPP (tptp.hAPP @t1119 @t118) @t96) @t44)))) % 3.61/3.89 (assume @p933 (forall @t198 (=> @t275 (= (tptp.hAPP (tptp.hAPP @t68 @t1160) @t96) @t44)))) % 3.61/3.89 (assume @p934 (forall @t254 (=> @t152 (= (tptp.hAPP @t1193 @t250) (tptp.hAPP (tptp.hAPP @t1119 @t253) @t252))))) % 3.61/3.89 (assume @p935 (forall @t257 (=> @t152 (= (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP @t1159 @t255)) @t96) (tptp.hAPP @t1194 @t256))))) % 3.61/3.89 (assume @p936 (forall @t165 (=> @t152 (= (tptp.hAPP @t160 @t1162) (tptp.hAPP (tptp.hAPP @t1119 @t162) @t161))))) % 3.61/3.89 (assume @p937 (forall @t153 (=> @t152 (= (tptp.hAPP @t97 (tptp.hAPP @t1192 @t149)) (tptp.hAPP @t1194 @t150))))) % 3.61/3.89 (assume @p938 (forall @t174 (=> @t427 (=> @t1138 (= @t420 (tptp.hBOOL (tptp.hAPP @t1195 @t169))))))) % 3.61/3.89 (assume @p939 (forall @t230 (=> @t279 (= @t1196 @t31)))) % 3.61/3.89 (assume @p940 (forall @t230 (=> @t291 (= @t31 @t1196)))) % 3.61/3.89 (assume @p941 (forall @t90 (=> @t275 (= (tptp.hAPP @t1159 @t44) @t82)))) % 3.61/3.89 (assume @p942 (forall @t90 (=> @t275 (= (tptp.hAPP @t1159 @t82) @t44)))) % 3.61/3.89 (assume @p943 (forall @t557 (=> @t1167 (=> @t1004 @t1168)))) % 3.61/3.89 (assume @p944 (forall @t605 (= (tptp.hAPP @t1140 @t600) (tptp.hAPP (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t147 (tptp.c_COMBI tptp.tc_Nat_Onat)) @t1163)))) % 3.61/3.89 (assume @p945 (forall @t1197 (=> @t503 (=> @t571 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t37 @t1127) (tptp.hAPP (tptp.hAPP @t1119 @t1077) @t1089)))))) % 3.61/3.89 (assume @p946 (forall @t1157 (=> @t1199 (= @t1198 (tptp.hBOOL (tptp.hAPP @t1195 @t1158)))))) % 3.61/3.89 (assume @p947 (forall @t1157 (=> @t1199 (= @t1198 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t23 @t1152) @t169)))))) % 3.61/3.89 (assume @p948 (forall @t1157 (=> @t1199 (= @t1200 (tptp.hBOOL (tptp.hAPP @t940 @t1158)))))) % 3.61/3.89 (assume @p949 (forall @t1157 (=> @t1199 (= @t1200 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t23 @t1152) @t169)))))) % 3.61/3.89 (assume @p950 (forall @t85 (=> @t503 (= (tptp.hAPP (tptp.hAPP @t1119 @t494) @t264) (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP @t163 @t264)) (tptp.hAPP @t1144 @t264)))))) % 3.61/3.89 (assume @p951 (forall (@list @t551 @t1201 @t169 @t23) (=> (and (tptp.class_Rings_Ocomm__ring @t23) @t512) (=> (tptp.hBOOL (tptp.hAPP @t1202 @t1201)) (forall (@list @t3 @t348) (= (tptp.hBOOL (tptp.hAPP @t1202 (tptp.hAPP @t510 @t551))) (tptp.hBOOL (tptp.hAPP @t1202 (tptp.hAPP (tptp.hAPP @t136 (tptp.hAPP (tptp.hAPP @t1136 @t3) (tptp.hAPP (tptp.hAPP @t133 @t348) @t1201))) @t551))))))))) % 3.61/3.89 (assume @p952 (forall (@list @t590 @t282) (=> @t847 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t1117 @t896)) @t282))))) % 3.61/3.89 (assume @p953 (forall @t573 (=> @t847 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1117 @t580)) @t282)))) % 3.61/3.89 (assume @p954 (forall @t1209 (= @t1208 (not (or (and @t1207 @t797) (exists @t1206 (and @t1205 (not @t1204)))))))) % 3.61/3.89 (assume @p955 (forall @t1209 (= @t1208 (and (=> @t1207 @t796) (forall @t1206 (=> @t1205 @t1204)))))) % 3.61/3.89 (assume @p956 (forall @t1212 (=> @t1172 (= (tptp.hAPP (tptp.hAPP @t1116 @t1211) @t247) (tptp.hAPP (tptp.hAPP @t1116 @t1210) @t1191))))) % 3.61/3.89 (assume @p957 (forall @t1212 (=> @t1172 (= (tptp.hAPP @t1126 @t1211) (tptp.hAPP @t1190 @t1210))))) % 3.61/3.89 (assume @p958 (forall @t1219 (=> @t1218 (= @t1217 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1214) @t280)))))) % 3.61/3.89 (assume @p959 (forall (@list @t282 @t247 @t353 @t590 @t588) (=> (tptp.hBOOL (tptp.hAPP @t690 @t590)) (= @t1220 (tptp.hAPP (tptp.hAPP @t1116 (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 @t1184) @t353)) @t247)) @t282))))) % 3.61/3.89 (assume @p960 (forall @t1219 (=> @t1218 (= @t1221 (= @t1214 @t280))))) % 3.61/3.89 (assume @p961 (forall @t1223 (=> @t1178 (= @t1217 (tptp.hBOOL (tptp.hAPP @t603 @t1222)))))) % 3.61/3.89 (assume @p962 (forall (@list @t282 @t247 @t353 @t588 @t590) (=> @t691 (= @t1220 (tptp.hAPP @t1126 (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t385 (tptp.hAPP @t1125 @t590)) @t353)) @t282)))))) % 3.61/3.89 (assume @p963 (forall @t1223 (=> @t1178 (= @t1221 (= @t302 @t1222))))) % 3.61/3.89 (assume @p964 (forall @t573 (=> @t847 (= @t1224 @t282)))) % 3.61/3.89 (assume @p965 (forall @t573 (=> @t847 (= @t282 @t1224)))) % 3.61/3.89 (assume @p966 (forall @t575 (and (=> @t574 (= @t326 @t282)) (=> @t1225 (= @t326 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t324 @t1183) @t282))))))) % 3.61/3.89 (assume @p967 (forall @t1223 (=> @t1178 (= @t1226 (tptp.hBOOL (tptp.hAPP @t881 @t1222)))))) % 3.61/3.89 (assume @p968 (forall @t1219 (=> @t1218 (= @t1226 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1214) @t280)))))) % 3.61/3.89 (assume @p969 (forall @t575 (and (=> @t574 (= @t559 @t147)) (=> @t1225 (= @t559 (tptp.hAPP @t648 (tptp.hAPP (tptp.hAPP @t385 @t1183) @t282))))))) % 3.61/3.89 (assume @p970 (forall (@list @t36 @t247) (and (=> @t574 (= @t1228 @t351)) (=> @t1225 (= @t1228 (tptp.hAPP @t386 (tptp.hAPP @t1227 @t1183))))))) % 3.61/3.89 (assume @p971 (forall @t309 (=> @t267 (= (tptp.hAPP (tptp.hAPP @t1119 (tptp.hAPP @t343 @t658)) (tptp.hAPP @t405 @t658)) (tptp.hAPP @t1193 @t164))))) % 3.61/3.89 (assume @p972 (forall @t1197 (=> @t506 (and (=> @t492 (= @t1230 @t264)) (=> @t493 (= @t1230 (tptp.hAPP @t971 (tptp.hAPP @t1229 @t1118)))))))) % 3.61/3.89 (assume @p973 (forall (@list @t155 @t282 @t36 @t37) (=> @t298 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t36) @t282)) (= (tptp.hAPP @t405 (tptp.hAPP @t1182 @t36)) (tptp.hAPP (tptp.hAPP @t66 (tptp.hAPP @t405 (tptp.hAPP @t1117 @t36))) @t155)))))) % 3.61/3.89 (assume @p974 (forall @t809 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t540) @t511)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1120 @t540) @t511)) @t555))))) % 3.61/3.89 (assume @p975 (forall @t534 (= @t1232 @t1231))) % 3.61/3.89 (assume @p976 (forall @t534 (= @t1231 @t1232))) % 3.61/3.89 (assume @p977 (forall @t86 (=> @t285 (= (tptp.hAPP (tptp.hAPP @t1187 @t62) @t49) (tptp.hAPP @t284 @t49))))) % 3.61/3.89 (assume @p978 (forall @t106 (=> @t293 (= (tptp.hAPP @t89 @t1188) (tptp.hAPP @t1189 @t94))))) % 3.61/3.89 (assume @p979 (forall @t557 (=> (tptp.hBOOL (tptp.hAPP @t1233 (tptp.hAPP (tptp.hAPP @t1120 @t247) @t282))) (=> (tptp.hBOOL (tptp.hAPP @t1233 @t282)) (tptp.hBOOL (tptp.hAPP @t1233 @t247)))))) % 3.61/3.89 (assume @p980 @t1238) % 3.61/3.89 (assume @p981 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1234)))) % 3.61/3.89 (assume @p982 (forall @t1237 (=> @t1236 (tptp.class_Rings_Oring__1__no__zero__divisors @t1234)))) % 3.61/3.89 (assume @p983 @t1240) % 3.61/3.89 (assume @p984 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ocancel__semigroup__add @t1234)))) % 3.61/3.89 (assume @p985 (forall @t1237 (=> @t1236 (tptp.class_Groups_Oab__semigroup__mult @t1234)))) % 3.61/3.89 (assume @p986 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ocomm__monoid__mult @t1234)))) % 3.61/3.89 (assume @p987 (forall @t1237 (=> @t1236 (tptp.class_Groups_Oab__semigroup__add @t1234)))) % 3.61/3.89 (assume @p988 (forall @t1237 (=> @t1236 (tptp.class_Rings_Ono__zero__divisors @t1234)))) % 3.61/3.89 (assume @p989 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ocomm__monoid__add @t1234)))) % 3.61/3.89 (assume @p990 (forall @t1237 (=> @t1236 (tptp.class_Rings_Ocomm__semiring__1 @t1234)))) % 3.61/3.89 (assume @p991 @t1242) % 3.61/3.89 (assume @p992 (forall @t1237 (=> @t1236 (tptp.class_Rings_Ocomm__semiring @t1234)))) % 3.61/3.89 (assume @p993 (forall @t1237 (=> @t1236 (tptp.class_Groups_Oab__group__add @t1234)))) % 3.61/3.89 (assume @p994 (forall @t1237 (=> @t1236 (tptp.class_Rings_Ozero__neq__one @t1234)))) % 3.61/3.89 (assume @p995 (forall @t1237 (=> @t1236 (tptp.class_Groups_Omonoid__mult @t1234)))) % 3.61/3.89 (assume @p996 (forall @t1237 (=> @t1236 (tptp.class_Rings_Ocomm__ring__1 @t1234)))) % 3.61/3.89 (assume @p997 (forall @t1237 (=> @t1236 (tptp.class_Groups_Omonoid__add @t1234)))) % 3.61/3.89 (assume @p998 (forall @t1237 (=> @t1236 (tptp.class_Rings_Osemiring__1 @t1234)))) % 3.61/3.89 (assume @p999 (forall @t1237 (=> @t1236 (tptp.class_Rings_Osemiring__0 @t1234)))) % 3.61/3.89 (assume @p1000 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ogroup__add @t1234)))) % 3.61/3.89 (assume @p1001 (forall @t1237 (=> @t1236 (tptp.class_Rings_Omult__zero @t1234)))) % 3.61/3.89 (assume @p1002 (forall @t1237 (=> @t1236 (tptp.class_Rings_Ocomm__ring @t1234)))) % 3.61/3.89 (assume @p1003 (forall @t1237 (=> @t1236 (tptp.class_Rings_Osemiring @t1234)))) % 3.61/3.89 (assume @p1004 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ouminus @t1234)))) % 3.61/3.89 (assume @p1005 (forall @t1237 (=> @t1236 (tptp.class_Rings_Oring__1 @t1234)))) % 3.61/3.89 (assume @p1006 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ominus @t1234)))) % 3.61/3.89 (assume @p1007 (forall @t1237 (=> @t1236 (tptp.class_Power_Opower @t1234)))) % 3.61/3.89 (assume @p1008 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ozero @t1234)))) % 3.61/3.89 (assume @p1009 (forall @t1237 (=> @t1236 (tptp.class_Rings_Oring @t1234)))) % 3.61/3.89 (assume @p1010 (forall @t1237 (=> @t1236 (tptp.class_Groups_Oone @t1234)))) % 3.61/3.89 (assume @p1011 (forall @t1237 (=> @t1236 (tptp.class_Rings_Odvd @t1234)))) % 3.61/3.89 (assume @p1012 (forall @t1237 (=> @t1236 (tptp.class_Groups_Ocancel__comm__monoid__add @t1234)))) % 3.61/3.89 (assume @p1013 (forall @t1246 (=> @t1245 (tptp.class_Groups_Ocancel__comm__monoid__add @t1244)))) % 3.61/3.89 (assume @p1014 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1015 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1016 (forall @t1249 (=> (tptp.class_Lattices_Oboolean__algebra @t1243) (tptp.class_Lattices_Oboolean__algebra @t1248)))) % 3.61/3.89 (assume @p1017 (forall @t1249 (=> (tptp.class_Orderings_Opreorder @t1243) (tptp.class_Orderings_Opreorder @t1248)))) % 3.61/3.89 (assume @p1018 (forall @t1249 (=> (tptp.class_Orderings_Oorder @t1243) (tptp.class_Orderings_Oorder @t1248)))) % 3.61/3.89 (assume @p1019 (forall @t1249 (=> (tptp.class_Orderings_Oord @t1243) (tptp.class_Orderings_Oord @t1248)))) % 3.61/3.89 (assume @p1020 (forall @t1249 (=> (tptp.class_Groups_Ouminus @t1243) (tptp.class_Groups_Ouminus @t1248)))) % 3.61/3.89 (assume @p1021 (forall @t1249 (=> (tptp.class_Groups_Ominus @t1243) (tptp.class_Groups_Ominus @t1248)))) % 3.61/3.89 (assume @p1022 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1023 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1024 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1025 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1026 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1027 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1028 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1029 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1030 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1031 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1032 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1033 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1034 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1035 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1036 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1037 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1038 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1039 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1040 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1041 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1042 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1043 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1044 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1045 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1046 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1047 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1048 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1049 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1050 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1051 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1052 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1053 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1054 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1055 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1056 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1057 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1058 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1059 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1060 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1061 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1062 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1063 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1064 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1065 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1066 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1067 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1068 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1069 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1070 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1071 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1072 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1073 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1074 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1075 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1076 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1077 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1078 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1079 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 3.61/3.89 (assume @p1080 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1081 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1082 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1083 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1084 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1085 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1086 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1087 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1088 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1089 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1090 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1091 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1092 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1093 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1094 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1095 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1096 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1097 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1098 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1099 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1100 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1101 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1102 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1103 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1104 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1105 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1106 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1107 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1108 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1109 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1110 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1111 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1112 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1113 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1114 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1115 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1116 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1117 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1118 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1119 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 3.61/3.89 (assume @p1120 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 3.61/3.89 (assume @p1121 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 3.61/3.89 (assume @p1122 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 3.61/3.89 (assume @p1123 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 3.61/3.89 (assume @p1124 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 3.61/3.89 (assume @p1125 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 3.61/3.89 (assume @p1126 (forall @t1246 (=> @t1250 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1244)))) % 3.61/3.89 (assume @p1127 (forall @t1246 (=> @t1251 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1244)))) % 3.61/3.89 (assume @p1128 (forall @t1246 (=> @t1251 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1244)))) % 3.61/3.89 (assume @p1129 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1244)))) % 3.61/3.89 (assume @p1130 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__semiring__1__strict @t1244)))) % 3.61/3.89 (assume @p1131 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__semiring__strict @t1244)))) % 3.61/3.89 (assume @p1132 (forall @t1246 (=> @t1251 (tptp.class_Groups_Oordered__ab__semigroup__add @t1244)))) % 3.61/3.89 (assume @p1133 (forall @t1246 (=> @t1251 (tptp.class_Groups_Oordered__comm__monoid__add @t1244)))) % 3.61/3.89 (assume @p1134 (forall @t1246 (=> @t1251 (tptp.class_Groups_Olinordered__ab__group__add @t1244)))) % 3.61/3.89 (assume @p1135 (forall @t1246 (=> @t1245 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1244)))) % 3.61/3.89 (assume @p1136 (forall @t1246 (=> @t1250 (tptp.class_Rings_Oring__1__no__zero__divisors @t1244)))) % 3.61/3.89 (assume @p1137 (forall @t1246 (=> @t1251 (tptp.class_Rings_Oordered__cancel__semiring @t1244)))) % 3.61/3.89 (assume @p1138 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__ring__strict @t1244)))) % 3.61/3.89 (assume @p1139 (forall @t1246 (=> @t1250 (tptp.class_Rings_Oring__no__zero__divisors @t1244)))) % 3.61/3.89 (assume @p1140 (forall @t1246 (=> @t1251 (tptp.class_Rings_Oordered__comm__semiring @t1244)))) % 3.61/3.89 (assume @p1141 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__semiring__1 @t1244)))) % 3.61/3.89 (assume @p1142 (forall @t1246 (=> @t1251 (tptp.class_Groups_Oordered__ab__group__add @t1244)))) % 3.61/3.89 (assume @p1143 (forall @t1246 (=> @t1245 (tptp.class_Groups_Ocancel__semigroup__add @t1244)))) % 3.61/3.89 (assume @p1144 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__semiring @t1244)))) % 3.61/3.89 (assume @p1145 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__semidom @t1244)))) % 3.61/3.89 (assume @p1146 (forall @t1246 (=> @t1252 (tptp.class_Groups_Oab__semigroup__mult @t1244)))) % 3.61/3.89 (assume @p1147 (forall @t1246 (=> @t1253 (tptp.class_Groups_Ocomm__monoid__mult @t1244)))) % 3.61/3.89 (assume @p1148 (forall @t1246 (=> @t1254 (tptp.class_Groups_Oab__semigroup__add @t1244)))) % 3.61/3.89 (assume @p1149 (forall @t1246 (=> @t1251 (tptp.class_Rings_Oordered__semiring @t1244)))) % 3.61/3.89 (assume @p1150 (forall @t1246 (=> @t1250 (tptp.class_Rings_Ono__zero__divisors @t1244)))) % 3.61/3.89 (assume @p1151 (forall @t1246 (=> @t1254 (tptp.class_Groups_Ocomm__monoid__add @t1244)))) % 3.61/3.89 (assume @p1152 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__ring @t1244)))) % 3.61/3.89 (assume @p1153 (forall @t1246 (=> @t1251 (tptp.class_Rings_Olinordered__idom @t1244)))) % 3.61/3.89 (assume @p1154 (forall @t1246 (=> @t1253 (tptp.class_Rings_Ocomm__semiring__1 @t1244)))) % 3.61/3.89 (assume @p1155 (forall @t1246 (=> @t1252 (tptp.class_Rings_Ocomm__semiring__0 @t1244)))) % 3.61/3.89 (assume @p1156 (forall @t1246 (=> @t1252 (tptp.class_Rings_Ocomm__semiring @t1244)))) % 3.61/3.89 (assume @p1157 (forall @t1246 (=> @t1251 (tptp.class_Nat_Osemiring__char__0 @t1244)))) % 3.61/3.89 (assume @p1158 (forall @t1246 (=> @t1255 (tptp.class_Groups_Oab__group__add @t1244)))) % 3.61/3.89 (assume @p1159 (forall @t1246 (=> @t1253 (tptp.class_Rings_Ozero__neq__one @t1244)))) % 3.61/3.89 (assume @p1160 (forall @t1246 (=> @t1251 (tptp.class_Rings_Oordered__ring @t1244)))) % 3.61/3.89 (assume @p1161 (forall @t1246 (=> @t1251 (tptp.class_Orderings_Opreorder @t1244)))) % 3.61/3.89 (assume @p1162 (forall @t1246 (=> @t1251 (tptp.class_Orderings_Olinorder @t1244)))) % 3.61/3.89 (assume @p1163 (forall @t1246 (=> @t1253 (tptp.class_Groups_Omonoid__mult @t1244)))) % 3.61/3.89 (assume @p1164 (forall @t1246 (=> @t1256 (tptp.class_Rings_Ocomm__ring__1 @t1244)))) % 3.61/3.89 (assume @p1165 (forall @t1246 (=> @t1254 (tptp.class_Groups_Omonoid__add @t1244)))) % 3.61/3.89 (assume @p1166 (forall @t1246 (=> @t1253 (tptp.class_Rings_Osemiring__1 @t1244)))) % 3.61/3.89 (assume @p1167 (forall @t1246 (=> @t1252 (tptp.class_Rings_Osemiring__0 @t1244)))) % 3.61/3.89 (assume @p1168 (forall @t1246 (=> @t1255 (tptp.class_Groups_Ogroup__add @t1244)))) % 3.61/3.89 (assume @p1169 (forall @t1246 (=> @t1252 (tptp.class_Rings_Omult__zero @t1244)))) % 3.61/3.89 (assume @p1170 (forall @t1246 (=> @t1257 (tptp.class_Rings_Ocomm__ring @t1244)))) % 3.61/3.89 (assume @p1171 (forall @t1246 (=> @t1251 (tptp.class_Orderings_Oorder @t1244)))) % 3.61/3.89 (assume @p1172 (forall @t1246 (=> @t1251 (tptp.class_Int_Oring__char__0 @t1244)))) % 3.61/3.89 (assume @p1173 (forall @t1246 (=> @t1252 (tptp.class_Rings_Osemiring @t1244)))) % 3.61/3.89 (assume @p1174 (forall @t1246 (=> @t1251 (tptp.class_Orderings_Oord @t1244)))) % 3.61/3.89 (assume @p1175 (forall @t1246 (=> @t1255 (tptp.class_Groups_Ouminus @t1244)))) % 3.61/3.89 (assume @p1176 (forall @t1246 (=> @t1256 (tptp.class_Rings_Oring__1 @t1244)))) % 3.61/3.89 (assume @p1177 (forall @t1246 (=> @t1255 (tptp.class_Groups_Ominus @t1244)))) % 3.61/3.89 (assume @p1178 (forall @t1246 (=> @t1253 (tptp.class_Power_Opower @t1244)))) % 3.61/3.89 (assume @p1179 (forall @t1246 (=> (tptp.class_Groups_Ozero @t1243) (tptp.class_Groups_Ozero @t1244)))) % 3.61/3.89 (assume @p1180 (forall @t1246 (=> @t1257 (tptp.class_Rings_Oring @t1244)))) % 3.61/3.89 (assume @p1181 (forall @t1246 (=> @t1250 (tptp.class_Rings_Oidom @t1244)))) % 3.61/3.89 (assume @p1182 (forall @t1246 (=> @t1253 (tptp.class_Groups_Oone @t1244)))) % 3.61/3.89 (assume @p1183 (forall @t1246 (=> @t1253 (tptp.class_Rings_Odvd @t1244)))) % 3.61/3.89 (assume @p1184 (forall (@list @t1258 @t37) (= (tptp.hAPP (tptp.c_COMBI @t37) @t1258) @t1258))) % 3.61/3.89 (assume @p1185 (forall (@list @t1259 @t1258 @t23 @t37) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t37 @t23) @t1258) @t1259) @t1258))) % 3.61/3.89 (assume @p1186 (forall (@list @t1260 @t1261 @t508 @t1263 @t23 @t56) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t56 @t23 @t1263) @t508) @t1261) @t1260) (tptp.hAPP @t508 @t1262)))) % 3.61/3.89 (assume @p1187 (forall @t1265 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t56 @t1263 @t23 @t508) @t1261) @t1260) (tptp.hAPP @t1264 @t1261)))) % 3.61/3.89 (assume @p1188 (forall @t1265 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t56 @t1263 @t23) @t508) @t1261) @t1260) (tptp.hAPP @t1264 @t1262)))) % 3.61/3.89 (assume @p1189 (forall @t1270 (or (not @t1269) @t1268))) % 3.61/3.89 (assume @p1190 (forall @t1270 (or (not @t1268) @t1269))) % 3.61/3.89 (assume @p1191 (not (tptp.hBOOL tptp.c_fFalse))) % 3.61/3.89 (assume @p1192 (forall @t937 (or (not @t1273) @t1272))) % 3.61/3.89 (assume @p1193 (forall @t937 (or (not @t1272) @t1273))) % 3.61/3.89 (assume @p1194 (forall @t1276 (or @t1272 (not @t1275) @t1274))) % 3.61/3.89 (assume @p1195 (forall @t1276 (or @t1277 @t1271))) % 3.61/3.89 (assume @p1196 (forall @t1276 (or @t1277 @t1275))) % 3.61/3.89 (assume @p1197 @t1281) % 3.61/3.89 (assume @p1198 @t7) % 3.61/3.89 (assume @p1199 true) % 3.61/3.89 (step @p1200 :rule bool-impl-elim :args (@t47 @t70)) % 3.61/3.89 (step @p1201 :rule cong :premises (@p1200) :args (@t72)) % 3.61/3.89 (step @p1202 :rule eq_resolve :premises (@p12 @p1201)) % 3.61/3.89 (step @p1203 :rule instantiate :premises (@p1202) :args ((@list tptp.v_y____ tptp.v_cs____ tptp.v_c____ tptp.t_a))) % 3.61/3.89 (step @p1204 :rule bool-impl-elim :args (@t1236 @t1241)) % 3.61/3.89 (step @p1205 :rule cong :premises (@p1204) :args (@t1242)) % 3.61/3.89 (step @p1206 :rule eq_resolve :premises (@p991 @p1205)) % 3.61/3.89 (step @p1207 :rule instantiate :premises (@p1206) :args (@t1282)) % 3.61/3.89 (step @p1208 :rule cnf_or_pos :args (@t1285)) % 3.61/3.89 (step @p1209 :rule reordering :premises (@p1208) :args ((or @t1284 @t1283 (not @t1285)))) % 3.61/3.89 (step @p1210 :rule chain_m_resolution :premises (@p1209 @p1198 @p1207) :args (@t1283 @t1286 (@list @t7 @t1285))) % 3.61/3.89 (step @p1211 :rule cnf_or_pos :args (@t1293)) % 3.61/3.89 (step @p1212 :rule reordering :premises (@p1211) :args ((or @t1292 @t1291 (not @t1293)))) % 3.61/3.89 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p1210 @p1203) :args (@t1291 @t1286 (@list @t1283 @t1293))) % 3.61/3.89 (step @p1214 :rule instantiate :premises (@p1202) :args ((@list tptp.v_x____ tptp.v_cs____ tptp.v_c____ tptp.t_a))) % 3.61/3.89 (step @p1215 :rule cnf_or_pos :args (@t1298)) % 3.61/3.89 (step @p1216 :rule reordering :premises (@p1215) :args ((or @t1292 @t1297 (not @t1298)))) % 3.61/3.89 (step @p1217 :rule chain_m_resolution :premises (@p1216 @p1210 @p1214) :args (@t1297 @t1286 (@list @t1283 @t1298))) % 3.61/3.89 (step @p1218 :rule bool-impl-elim :args (@t173 @t1299)) % 3.61/3.89 (step @p1219 :rule cong :premises (@p1218) :args ((forall @t240 (=> @t173 @t1299)))) % 3.61/3.89 (step @p1220 :rule eq-symm :args (@t238 @t112)) % 3.61/3.89 (step @p1221 :rule refl :args (@t173)) % 3.61/3.89 (step @p1222 :rule cong :premises (@p1221 @p1220) :args (@t239)) % 3.61/3.89 (step @p1223 :rule cong :premises (@p1222) :args (@t241)) % 3.61/3.89 (step @p1224 :rule trans :premises (@p1223 @p1219)) % 3.61/3.89 (step @p1225 :rule eq_resolve :premises (@p88 @p1224)) % 3.61/3.89 (step @p1226 :rule refl :args (@t1300)) % 3.61/3.89 (step @p1227 :rule eq-symm :args (@t1295 @t8)) % 3.61/3.89 (step @p1228 :rule cong :premises (@p1227 @p1226) :args (@t1301)) % 3.61/3.89 (step @p1229 :rule refl :args (@t1303)) % 3.61/3.89 (step @p1230 :rule nary_cong :premises (@p1229 @p1228) :args (@t1304)) % 3.61/3.89 (step @p1231 :rule refl :args (@t1305)) % 3.61/3.89 (step @p1232 :rule cong :premises (@p1231 @p1230) :args ((=> @t1305 @t1304))) % 3.61/3.89 (assume-push @p1401 @t1305) % 3.61/3.89 (step @p1234 :rule instantiate :premises (@p1225) :args ((@list @t1295 tptp.v_c____ tptp.t_a))) % 3.61/3.89 (step-pop @p1402 :rule scope :premises (@p1234)) % 3.61/3.89 (step @p1235 :rule process_scope :premises (@p1402) :args (@t1304)) % 3.61/3.89 (step @p1237 :rule eq_resolve :premises (@p1235 @p1232)) % 3.61/3.89 (step @p1238 :rule implies_elim :premises (@p1237)) % 3.61/3.89 (step @p1239 :rule chain_m_resolution :premises (@p1238 @p1225) :args (@t1308 @t1309 @t1310)) % 3.61/3.89 (step @p1240 :rule bool-impl-elim :args (@t1236 @t1235)) % 3.61/3.89 (step @p1241 :rule cong :premises (@p1240) :args (@t1238)) % 3.61/3.89 (step @p1242 :rule eq_resolve :premises (@p980 @p1241)) % 3.61/3.89 (step @p1243 :rule instantiate :premises (@p1242) :args (@t1282)) % 3.61/3.89 (step @p1244 :rule cnf_or_pos :args (@t1311)) % 3.61/3.89 (step @p1245 :rule reordering :premises (@p1244) :args ((or @t1284 @t1302 (not @t1311)))) % 3.61/3.89 (step @p1246 :rule chain_m_resolution :premises (@p1245 @p1198 @p1243) :args (@t1302 @t1286 (@list @t7 @t1311))) % 3.61/3.89 (step @p1247 :rule cnf_or_pos :args (@t1308)) % 3.61/3.89 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t1303 @t1307 (not @t1308)))) % 3.61/3.89 (step @p1249 :rule chain_m_resolution :premises (@p1248 @p1246 @p1239) :args (@t1307 @t1286 (@list @t1302 @t1308))) % 3.61/3.89 (step @p1250 :rule bool-impl-elim :args (@t228 @t1313)) % 3.61/3.89 (step @p1251 :rule cong :premises (@p1250) :args ((forall @t230 (=> @t228 @t1313)))) % 3.61/3.89 (step @p1252 :rule eq-symm :args (@t1312 @t225)) % 3.61/3.89 (step @p1253 :rule refl :args (@t225)) % 3.61/3.89 (step @p1254 :rule eq-symm :args (@t226 @t111)) % 3.61/3.89 (step @p1255 :rule cong :premises (@p1254 @p1253) :args (@t227)) % 3.61/3.89 (step @p1256 :rule trans :premises (@p1255 @p1252)) % 3.61/3.89 (step @p1257 :rule refl :args (@t228)) % 3.61/3.89 (step @p1258 :rule cong :premises (@p1257 @p1256) :args (@t229)) % 3.61/3.89 (step @p1259 :rule cong :premises (@p1258) :args (@t231)) % 3.61/3.89 (step @p1260 :rule trans :premises (@p1259 @p1251)) % 3.61/3.89 (step @p1261 :rule eq_resolve :premises (@p79 @p1260)) % 3.61/3.89 (step @p1262 :rule eq-symm :args (@t1294 @t8)) % 3.61/3.89 (step @p1263 :rule eq-symm :args (tptp.v_x____ @t8)) % 3.61/3.89 (step @p1264 :rule nary_cong :premises (@p1263 @p1262) :args (@t1315)) % 3.61/3.89 (step @p1265 :rule refl :args (@t1306)) % 3.61/3.89 (step @p1266 :rule cong :premises (@p1265 @p1264) :args ((= @t1306 @t1315))) % 3.61/3.89 (step @p1267 :rule eq-symm :args (@t1315 @t1306)) % 3.61/3.89 (step @p1268 :rule trans :premises (@p1267 @p1266)) % 3.61/3.89 (step @p1269 :rule refl :args (@t1317)) % 3.61/3.89 (step @p1270 :rule nary_cong :premises (@p1269 @p1268) :args (@t1318)) % 3.61/3.89 (step @p1271 :rule refl :args (@t1319)) % 3.61/3.89 (step @p1272 :rule cong :premises (@p1271 @p1270) :args ((=> @t1319 @t1318))) % 3.61/3.89 (assume-push @p1403 @t1319) % 3.61/3.89 (step @p1274 :rule instantiate :premises (@p1261) :args ((@list @t1294 tptp.v_x____ tptp.t_a))) % 3.61/3.89 (step-pop @p1404 :rule scope :premises (@p1274)) % 3.61/3.89 (step @p1275 :rule process_scope :premises (@p1404) :args (@t1318)) % 3.61/3.89 (step @p1277 :rule eq_resolve :premises (@p1275 @p1272)) % 3.61/3.89 (step @p1278 :rule implies_elim :premises (@p1277)) % 3.61/3.89 (step @p1279 :rule chain_m_resolution :premises (@p1278 @p1261) :args (@t1323 @t1309 @t1324)) % 3.61/3.89 (step @p1280 :rule bool-impl-elim :args (@t1236 @t1239)) % 3.61/3.89 (step @p1281 :rule cong :premises (@p1280) :args (@t1240)) % 3.61/3.89 (step @p1282 :rule eq_resolve :premises (@p983 @p1281)) % 3.61/3.89 (step @p1283 :rule instantiate :premises (@p1282) :args (@t1282)) % 3.61/3.89 (step @p1284 :rule cnf_or_pos :args (@t1325)) % 3.61/3.89 (step @p1285 :rule reordering :premises (@p1284) :args ((or @t1284 @t1316 (not @t1325)))) % 3.61/3.89 (step @p1286 :rule chain_m_resolution :premises (@p1285 @p1198 @p1283) :args (@t1316 @t1286 (@list @t7 @t1325))) % 3.61/3.89 (step @p1287 :rule cnf_or_pos :args (@t1323)) % 3.61/3.89 (step @p1288 :rule reordering :premises (@p1287) :args ((or @t1317 @t1322 (not @t1323)))) % 3.61/3.89 (step @p1289 :rule chain_m_resolution :premises (@p1288 @p1286 @p1279) :args (@t1322 @t1286 (@list @t1316 @t1323))) % 3.61/3.89 (step @p1290 :rule refl :args (@t1326)) % 3.61/3.89 (step @p1291 :rule bool-double-not-elim :args (@t12)) % 3.61/3.89 (step @p1292 :rule nary_cong :premises (@p1291 @p1290) :args ((or (not @t13) @t1326))) % 3.61/3.89 (step @p1293 :rule bool-impl-elim :args (@t13 @t1326)) % 3.61/3.89 (step @p1294 :rule trans :premises (@p1293 @p1292)) % 3.61/3.89 (step @p1295 :rule cong :premises (@p1294) :args ((forall @t15 (=> @t13 @t1326)))) % 3.61/3.89 (step @p1296 :rule eq-symm :args (@t11 @t8)) % 3.61/3.89 (step @p1297 :rule refl :args (@t13)) % 3.61/3.89 (step @p1298 :rule cong :premises (@p1297 @p1296) :args (@t14)) % 3.61/3.89 (step @p1299 :rule cong :premises (@p1298) :args (@t16)) % 3.61/3.89 (step @p1300 :rule trans :premises (@p1299 @p1295)) % 3.61/3.89 (step @p1301 :rule refl :args (@t7)) % 3.61/3.89 (step @p1302 :rule cong :premises (@p1301 @p1300) :args (@t17)) % 3.61/3.89 (step @p1303 :rule eq_resolve :premises (@p3 @p1302)) % 3.61/3.89 (step @p1304 :rule implies_elim :premises (@p1303)) % 3.61/3.89 (step @p1305 :rule reordering :premises (@p1304) :args ((or @t1327 @t1284))) % 3.61/3.89 (step @p1306 :rule chain_m_resolution :premises (@p1305 @p1198) :args (@t1327 @t1309 (@list @t7))) % 3.61/3.89 (step @p1307 :rule refl :args (@t1320)) % 3.61/3.89 (step @p1308 :rule nary_cong :premises (@p1263 @p1307) :args (@t1328)) % 3.61/3.89 (step @p1309 :rule refl :args (@t1327)) % 3.61/3.89 (step @p1310 :rule cong :premises (@p1309 @p1308) :args ((=> @t1327 @t1328))) % 3.61/3.89 (assume-push @p1405 @t1327) % 3.61/3.89 (step @p1312 :rule instantiate :premises (@p1306) :args ((@list tptp.v_x____))) % 3.61/3.89 (step-pop @p1406 :rule scope :premises (@p1312)) % 3.61/3.89 (step @p1313 :rule process_scope :premises (@p1406) :args (@t1328)) % 3.61/3.89 (step @p1315 :rule eq_resolve :premises (@p1313 @p1310)) % 3.61/3.89 (step @p1316 :rule implies_elim :premises (@p1315)) % 3.61/3.89 (step @p1317 :rule chain_m_resolution :premises (@p1316 @p1306) :args (@t1321 @t1309 @t1329)) % 3.61/3.89 (step @p1318 :rule cnf_equiv_pos2 :args (@t1322)) % 3.61/3.89 (step @p1319 :rule reordering :premises (@p1318) :args ((or @t1306 (not @t1321) (not @t1322)))) % 3.61/3.89 (step @p1320 :rule chain_m_resolution :premises (@p1319 @p1317 @p1289) :args (@t1306 @t1286 (@list @t1321 @t1322))) % 3.61/3.89 (step @p1321 :rule cnf_equiv_pos1 :args (@t1307)) % 3.61/3.89 (step @p1322 :rule reordering :premises (@p1321) :args ((or (not @t1306) @t1300 (not @t1307)))) % 3.61/3.89 (step @p1323 :rule chain_m_resolution :premises (@p1322 @p1320 @p1249) :args (@t1300 @t1286 (@list @t1306 @t1307))) % 3.61/3.89 (step @p1324 :rule refl :args (@t1330)) % 3.61/3.89 (step @p1325 :rule eq-symm :args (@t1288 @t8)) % 3.61/3.89 (step @p1326 :rule cong :premises (@p1325 @p1324) :args (@t1331)) % 3.61/3.89 (step @p1327 :rule nary_cong :premises (@p1229 @p1326) :args (@t1332)) % 3.61/3.89 (step @p1328 :rule cong :premises (@p1231 @p1327) :args ((=> @t1305 @t1332))) % 3.61/3.89 (assume-push @p1407 @t1305) % 3.61/3.89 (step @p1330 :rule instantiate :premises (@p1225) :args ((@list @t1288 tptp.v_c____ tptp.t_a))) % 3.61/3.89 (step-pop @p1408 :rule scope :premises (@p1330)) % 3.61/3.89 (step @p1331 :rule process_scope :premises (@p1408) :args (@t1332)) % 3.61/3.89 (step @p1333 :rule eq_resolve :premises (@p1331 @p1328)) % 3.61/3.89 (step @p1334 :rule implies_elim :premises (@p1333)) % 3.61/3.89 (step @p1335 :rule chain_m_resolution :premises (@p1334 @p1225) :args (@t1335 @t1309 @t1310)) % 3.61/3.89 (step @p1336 :rule cnf_or_pos :args (@t1335)) % 3.61/3.89 (step @p1337 :rule reordering :premises (@p1336) :args ((or @t1303 @t1334 (not @t1335)))) % 3.61/3.89 (step @p1338 :rule chain_m_resolution :premises (@p1337 @p1246 @p1335) :args (@t1334 @t1286 (@list @t1302 @t1335))) % 3.61/3.89 (step @p1339 :rule eq-symm :args (@t1287 @t8)) % 3.61/3.89 (step @p1340 :rule eq-symm :args (tptp.v_y____ @t8)) % 3.61/3.89 (step @p1341 :rule nary_cong :premises (@p1340 @p1339) :args (@t1337)) % 3.61/3.89 (step @p1342 :rule refl :args (@t1333)) % 3.61/3.89 (step @p1343 :rule cong :premises (@p1342 @p1341) :args ((= @t1333 @t1337))) % 3.61/3.89 (step @p1344 :rule eq-symm :args (@t1337 @t1333)) % 3.61/3.89 (step @p1345 :rule trans :premises (@p1344 @p1343)) % 3.61/3.89 (step @p1346 :rule nary_cong :premises (@p1269 @p1345) :args (@t1338)) % 3.61/3.89 (step @p1347 :rule cong :premises (@p1271 @p1346) :args ((=> @t1319 @t1338))) % 3.61/3.89 (assume-push @p1409 @t1319) % 3.61/3.89 (step @p1349 :rule instantiate :premises (@p1261) :args ((@list @t1287 tptp.v_y____ tptp.t_a))) % 3.61/3.89 (step-pop @p1410 :rule scope :premises (@p1349)) % 3.61/3.89 (step @p1350 :rule process_scope :premises (@p1410) :args (@t1338)) % 3.61/3.89 (step @p1352 :rule eq_resolve :premises (@p1350 @p1347)) % 3.61/3.89 (step @p1353 :rule implies_elim :premises (@p1352)) % 3.61/3.89 (step @p1354 :rule chain_m_resolution :premises (@p1353 @p1261) :args (@t1342 @t1309 @t1324)) % 3.61/3.89 (step @p1355 :rule cnf_or_pos :args (@t1342)) % 3.61/3.89 (step @p1356 :rule reordering :premises (@p1355) :args ((or @t1317 @t1341 (not @t1342)))) % 3.61/3.89 (step @p1357 :rule chain_m_resolution :premises (@p1356 @p1286 @p1354) :args (@t1341 @t1286 (@list @t1316 @t1342))) % 3.61/3.89 (step @p1358 :rule refl :args (@t1339)) % 3.61/3.89 (step @p1359 :rule nary_cong :premises (@p1340 @p1358) :args (@t1343)) % 3.61/3.89 (step @p1360 :rule cong :premises (@p1309 @p1359) :args ((=> @t1327 @t1343))) % 3.61/3.89 (assume-push @p1411 @t1327) % 3.61/3.89 (step @p1362 :rule instantiate :premises (@p1306) :args ((@list tptp.v_y____))) % 3.61/3.89 (step-pop @p1412 :rule scope :premises (@p1362)) % 3.61/3.89 (step @p1363 :rule process_scope :premises (@p1412) :args (@t1343)) % 3.61/3.89 (step @p1365 :rule eq_resolve :premises (@p1363 @p1360)) % 3.61/3.89 (step @p1366 :rule implies_elim :premises (@p1365)) % 3.61/3.89 (step @p1367 :rule chain_m_resolution :premises (@p1366 @p1306) :args (@t1340 @t1309 @t1329)) % 3.61/3.89 (step @p1368 :rule cnf_equiv_pos2 :args (@t1341)) % 3.61/3.89 (step @p1369 :rule reordering :premises (@p1368) :args ((or @t1333 (not @t1340) (not @t1341)))) % 3.61/3.89 (step @p1370 :rule chain_m_resolution :premises (@p1369 @p1367 @p1357) :args (@t1333 @t1286 (@list @t1340 @t1341))) % 3.61/3.89 (step @p1371 :rule cnf_equiv_pos1 :args (@t1334)) % 3.61/3.89 (step @p1372 :rule reordering :premises (@p1371) :args ((or (not @t1333) @t1330 (not @t1334)))) % 3.61/3.89 (step @p1373 :rule chain_m_resolution :premises (@p1372 @p1370 @p1338) :args (@t1330 @t1286 (@list @t1333 @t1334))) % 3.61/3.89 (step @p1374 :rule refl :args (@t1344)) % 3.61/3.89 (step @p1375 :rule refl :args (@t1345)) % 0.61/3.90 (step @p1376 :rule refl :args (@t1346)) % 0.61/3.90 (step @p1377 :rule refl :args (@t1347)) % 0.61/3.90 (step @p1378 :rule bool-double-not-elim :args (@t1280)) % 0.61/3.90 (step @p1379 :rule nary_cong :premises (@p1378 @p1377 @p1376 @p1375 @p1374) :args ((or (not @t1281) @t1347 @t1346 @t1345 @t1344))) % 0.61/3.90 (assume-push @p1413 @t1281) % 0.61/3.90 (assume-push @p1414 @t1291) % 0.61/3.90 (assume-push @p1415 @t1297) % 0.61/3.90 (assume-push @p1416 @t1300) % 0.61/3.90 (step @p1384 :rule false_intro :premises (@p1197)) % 0.61/3.90 (step @p1385 :rule symm :premises (@p1213)) % 0.61/3.90 (step @p1386 :rule symm :premises (@p1217)) % 0.61/3.90 (step @p1387 :rule trans :premises (@p1323 @p1386)) % 0.61/3.90 (step @p1388 :rule cong :premises (@p1387 @p1385) :args (@t1330)) % 0.61/3.90 (step @p1389 :rule trans :premises (@p1388 @p1384)) % 0.61/3.90 (step @p1390 :rule false_elim :premises (@p1389)) % 0.61/3.90 (step-pop @p1417 :rule scope :premises (@p1390)) % 0.61/3.90 (step-pop @p1418 :rule scope :premises (@p1417)) % 0.61/3.90 (step-pop @p1419 :rule scope :premises (@p1418)) % 0.61/3.90 (step-pop @p1420 :rule scope :premises (@p1419)) % 0.61/3.90 (step @p1391 :rule process_scope :premises (@p1420) :args (@t1344)) % 0.61/3.90 (step @p1396 :rule implies_elim :premises (@p1391)) % 0.61/3.90 (step @p1397 :rule cnf_and_neg :args (@t1348)) % 0.61/3.90 (step @p1398 :rule resolution :premises (@p1397 @p1396) :args (true @t1348)) % 0.61/3.90 (step @p1399 :rule eq_resolve :premises (@p1398 @p1379)) % 0.61/3.90 (step @p1400 false :rule chain_m_resolution :premises (@p1399 @p1373 @p1323 @p1217 @p1213 @p1197) :args (false (@list false false false false true) (@list @t1330 @t1300 @t1297 @t1291 @t1280))) % 0.61/3.90 ) % 0.61/3.90 % SZS output end Proof % 0.61/3.90 % cvc5 exiting %------------------------------------------------------------------------------