%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW286+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 : n009.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 09:04:40 AM UTC 2026 % Result : Theorem 1.32s 1.59s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW286+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 : n009.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 21:43:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.43/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.59 % SZS status Theorem % 1.32/1.59 % SZS output start Proof % 1.32/1.59 ( % 1.32/1.59 (declare-sort $$unsorted 0) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.32/1.59 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.v_k____ $$unsorted) % 1.32/1.59 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.v_q $$unsorted) % 1.32/1.59 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.32/1.59 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.v_p $$unsorted) % 1.32/1.59 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.32/1.59 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.32/1.59 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.32/1.59 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.32/1.59 (define @t3 () (@var "B_x" $$unsorted)) % 1.32/1.59 (define @t4 () (@list @t3)) % 1.32/1.59 (define @t5 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t6 () (tptp.c_Groups_Ozero__class_Ozero @t5)) % 1.32/1.59 (define @t7 () (= tptp.v_p @t6)) % 1.32/1.59 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t9 () (= tptp.v_k____ @t8)) % 1.32/1.59 (define @t10 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_k____ @t6)) % 1.32/1.59 (define @t11 () (= tptp.v_p @t10)) % 1.32/1.59 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.32/1.59 (define @t13 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.32/1.59 (define @t14 () (= @t13 @t12)) % 1.32/1.59 (define @t15 () (@var "V_n" $$unsorted)) % 1.32/1.59 (define @t16 () (@var "T_a" $$unsorted)) % 1.32/1.59 (define @t17 () (tptp.tc_Polynomial_Opoly @t16)) % 1.32/1.59 (define @t18 () (tptp.c_Groups_Ozero__class_Ozero @t17)) % 1.32/1.59 (define @t19 () (tptp.c_Groups_Oone__class_Oone @t16)) % 1.32/1.59 (define @t20 () (tptp.c_Polynomial_OpCons @t16 @t19 @t18)) % 1.32/1.59 (define @t21 () (@var "V_a" $$unsorted)) % 1.32/1.59 (define @t22 () (tptp.c_Power_Opower__class_Opower @t17)) % 1.32/1.59 (define @t23 () (tptp.hAPP (tptp.hAPP @t22 (tptp.c_Polynomial_OpCons @t16 @t21 @t20)) @t15)) % 1.32/1.59 (define @t24 () (tptp.class_Rings_Ocomm__semiring__1 @t16)) % 1.32/1.59 (define @t25 () (@list @t15 @t21 @t16)) % 1.32/1.59 (define @t26 () (tptp.c_Groups_Oone__class_Oone @t17)) % 1.32/1.59 (define @t27 () (=> @t24 (= @t26 @t20))) % 1.32/1.59 (define @t28 () (@list @t16)) % 1.32/1.59 (define @t29 () (forall @t28 @t27)) % 1.32/1.59 (define @t30 () (tptp.c_Groups_Ozero__class_Ozero @t16)) % 1.32/1.59 (define @t31 () (tptp.class_Groups_Ozero @t16)) % 1.32/1.59 (define @t32 () (@var "V_pa_2" $$unsorted)) % 1.32/1.59 (define @t33 () (= @t32 @t18)) % 1.32/1.59 (define @t34 () (@var "V_a_2" $$unsorted)) % 1.32/1.59 (define @t35 () (= @t34 @t30)) % 1.32/1.59 (define @t36 () (tptp.c_Polynomial_OpCons @t16 @t34 @t32)) % 1.32/1.59 (define @t37 () (@list @t32 @t34 @t16)) % 1.32/1.59 (define @t38 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t19 @t21)) % 1.32/1.59 (define @t39 () (tptp.c_Power_Opower__class_Opower @t16)) % 1.32/1.59 (define @t40 () (tptp.hAPP @t39 @t21)) % 1.32/1.59 (define @t41 () (tptp.hAPP @t40 @t15)) % 1.32/1.59 (define @t42 () (tptp.class_Fields_Ofield__inverse__zero @t16)) % 1.32/1.59 (define @t43 () (@var "V_b" $$unsorted)) % 1.32/1.59 (define @t44 () (tptp.hAPP (tptp.hAPP @t39 @t43) @t15)) % 1.32/1.59 (define @t45 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t21 @t43)) % 1.32/1.59 (define @t46 () (= (tptp.hAPP (tptp.hAPP @t39 @t45) @t15) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t41 @t44))) % 1.32/1.59 (define @t47 () (= @t43 @t30)) % 1.32/1.59 (define @t48 () (not @t47)) % 1.32/1.59 (define @t49 () (tptp.class_Fields_Ofield @t16)) % 1.32/1.59 (define @t50 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t21 @t21)) % 1.32/1.59 (define @t51 () (= @t21 @t30)) % 1.32/1.59 (define @t52 () (not @t51)) % 1.32/1.59 (define @t53 () (=> @t52 (= @t50 @t19))) % 1.32/1.59 (define @t54 () (tptp.class_Rings_Odivision__ring__inverse__zero @t16)) % 1.32/1.59 (define @t55 () (@list @t21 @t16)) % 1.32/1.59 (define @t56 () (tptp.class_Rings_Odivision__ring @t16)) % 1.32/1.59 (define @t57 () (@var "V_b_2" $$unsorted)) % 1.32/1.59 (define @t58 () (= @t34 @t57)) % 1.32/1.59 (define @t59 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t34 @t57)) % 1.32/1.59 (define @t60 () (= @t57 @t30)) % 1.32/1.59 (define @t61 () (@list @t34 @t57 @t16)) % 1.32/1.59 (define @t62 () (tptp.hAPP @t39 @t30)) % 1.32/1.59 (define @t63 () (tptp.hAPP @t62 @t15)) % 1.32/1.59 (define @t64 () (= @t15 @t12)) % 1.32/1.59 (define @t65 () (not @t64)) % 1.32/1.59 (define @t66 () (tptp.class_Rings_Osemiring__0 @t16)) % 1.32/1.59 (define @t67 () (tptp.class_Power_Opower @t16)) % 1.32/1.59 (define @t68 () (and @t67 @t66)) % 1.32/1.59 (define @t69 () (@list @t15 @t16)) % 1.32/1.59 (define @t70 () (@var "V_c_2" $$unsorted)) % 1.32/1.59 (define @t71 () (= @t70 @t30)) % 1.32/1.59 (define @t72 () (=> @t71 @t35)) % 1.32/1.59 (define @t73 () (tptp.c_Groups_Otimes__class_Otimes @t16)) % 1.32/1.59 (define @t74 () (tptp.hAPP @t73 @t34)) % 1.32/1.59 (define @t75 () (tptp.hAPP @t74 @t70)) % 1.32/1.59 (define @t76 () (= @t75 @t57)) % 1.32/1.59 (define @t77 () (not @t71)) % 1.32/1.59 (define @t78 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t57 @t70)) % 1.32/1.59 (define @t79 () (= @t34 @t78)) % 1.32/1.59 (define @t80 () (@list @t70 @t57 @t34 @t16)) % 1.32/1.59 (define @t81 () (= @t57 @t75)) % 1.32/1.59 (define @t82 () (= @t78 @t34)) % 1.32/1.59 (define @t83 () (@list @t34 @t70 @t57 @t16)) % 1.32/1.59 (define @t84 () (@var "V_m" $$unsorted)) % 1.32/1.59 (define @t85 () (tptp.hAPP @t40 @t84)) % 1.32/1.59 (define @t86 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.32/1.59 (define @t87 () (tptp.hAPP @t86 @t84)) % 1.32/1.59 (define @t88 () (tptp.hAPP @t87 @t15)) % 1.32/1.59 (define @t89 () (tptp.class_Groups_Omonoid__mult @t16)) % 1.32/1.59 (define @t90 () (@list @t15 @t84 @t21 @t16)) % 1.32/1.59 (define @t91 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.32/1.59 (define @t92 () (tptp.c_Polynomial_OpCons @t16 @t21 @t18)) % 1.32/1.59 (define @t93 () (tptp.c_Polynomial_Odegree @t16 @t92)) % 1.32/1.59 (define @t94 () (=> @t31 (= @t93 @t12))) % 1.32/1.59 (define @t95 () (forall @t55 @t94)) % 1.32/1.59 (define @t96 () (@var "V_qa_2" $$unsorted)) % 1.32/1.59 (define @t97 () (= @t32 @t96)) % 1.32/1.59 (define @t98 () (tptp.hAPP @t73 @t21)) % 1.32/1.59 (define @t99 () (tptp.hAPP @t98 @t43)) % 1.32/1.59 (define @t100 () (= @t99 @t30)) % 1.32/1.59 (define @t101 () (tptp.class_Rings_Ono__zero__divisors @t16)) % 1.32/1.59 (define @t102 () (@list @t43 @t21 @t16)) % 1.32/1.59 (define @t103 () (@list @t57 @t34 @t16)) % 1.32/1.59 (define @t104 () (= (tptp.hAPP @t98 @t30) @t30)) % 1.32/1.59 (define @t105 () (tptp.class_Rings_Omult__zero @t16)) % 1.32/1.59 (define @t106 () (tptp.hAPP @t73 @t30)) % 1.32/1.59 (define @t107 () (= (tptp.hAPP @t106 @t21) @t30)) % 1.32/1.59 (define @t108 () (tptp.class_Rings_Ozero__neq__one @t16)) % 1.32/1.59 (define @t109 () (tptp.class_Rings_Oring__1__no__zero__divisors @t16)) % 1.32/1.59 (define @t110 () (@var "V_n_2" $$unsorted)) % 1.32/1.59 (define @t111 () (= @t110 @t12)) % 1.32/1.59 (define @t112 () (not @t111)) % 1.32/1.59 (define @t113 () (tptp.hAPP @t39 @t34)) % 1.32/1.59 (define @t114 () (tptp.hAPP @t113 @t110)) % 1.32/1.59 (define @t115 () (@list @t110 @t34 @t16)) % 1.32/1.59 (define @t116 () (tptp.hAPP @t73 @t41)) % 1.32/1.59 (define @t117 () (tptp.class_Groups_Ocomm__monoid__mult @t16)) % 1.32/1.59 (define @t118 () (@list @t15 @t43 @t21 @t16)) % 1.32/1.59 (define @t119 () (tptp.hAPP @t98 @t41)) % 1.32/1.59 (define @t120 () (tptp.hAPP @t116 @t21)) % 1.32/1.59 (define @t121 () (@var "V_w" $$unsorted)) % 1.32/1.59 (define @t122 () (@var "V_y" $$unsorted)) % 1.32/1.59 (define @t123 () (tptp.hAPP @t73 @t122)) % 1.32/1.59 (define @t124 () (@var "V_z" $$unsorted)) % 1.32/1.59 (define @t125 () (@var "V_x" $$unsorted)) % 1.32/1.59 (define @t126 () (tptp.hAPP @t73 @t125)) % 1.32/1.59 (define @t127 () (tptp.hAPP @t126 @t124)) % 1.32/1.59 (define @t128 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t125 @t122)) % 1.32/1.59 (define @t129 () (@var "V_c" $$unsorted)) % 1.32/1.59 (define @t130 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t43 @t129)) % 1.32/1.59 (define @t131 () (@list @t129 @t43 @t21 @t16)) % 1.32/1.59 (define @t132 () (@var "V_p" $$unsorted)) % 1.32/1.59 (define @t133 () (tptp.c_Groups_Otimes__class_Otimes @t17)) % 1.32/1.59 (define @t134 () (tptp.hAPP @t133 @t132)) % 1.32/1.59 (define @t135 () (tptp.class_Rings_Ocomm__semiring__0 @t16)) % 1.32/1.59 (define @t136 () (@list @t132 @t16)) % 1.32/1.59 (define @t137 () (@var "V_q" $$unsorted)) % 1.32/1.59 (define @t138 () (@list @t137 @t16)) % 1.32/1.59 (define @t139 () (tptp.hAPP @t98 @t129)) % 1.32/1.59 (define @t140 () (= @t129 @t30)) % 1.32/1.59 (define @t141 () (not @t140)) % 1.32/1.59 (define @t142 () (@list @t43 @t21 @t129 @t16)) % 1.32/1.59 (define @t143 () (@list @t21 @t43 @t129 @t16)) % 1.32/1.59 (define @t144 () (@var "V_y_2" $$unsorted)) % 1.32/1.59 (define @t145 () (@var "V_w_2" $$unsorted)) % 1.32/1.59 (define @t146 () (tptp.hAPP @t73 @t145)) % 1.32/1.59 (define @t147 () (tptp.hAPP @t146 @t144)) % 1.32/1.59 (define @t148 () (@var "V_z_2" $$unsorted)) % 1.32/1.59 (define @t149 () (@var "V_x_2" $$unsorted)) % 1.32/1.59 (define @t150 () (tptp.hAPP @t73 @t149)) % 1.32/1.59 (define @t151 () (tptp.hAPP @t150 @t148)) % 1.32/1.59 (define @t152 () (= @t144 @t30)) % 1.32/1.59 (define @t153 () (not @t152)) % 1.32/1.59 (define @t154 () (tptp.hAPP @t73 @t129)) % 1.32/1.59 (define @t155 () (tptp.hAPP @t154 @t43)) % 1.32/1.59 (define @t156 () (tptp.hAPP @t154 @t21)) % 1.32/1.59 (define @t157 () (tptp.hAPP @t73 @t43)) % 1.32/1.59 (define @t158 () (tptp.hAPP @t157 @t129)) % 1.32/1.59 (define @t159 () (@list @t34 @t57 @t70 @t16)) % 1.32/1.59 (define @t160 () (@list @t57 @t34 @t70 @t16)) % 1.32/1.59 (define @t161 () (@var "B_k" $$unsorted)) % 1.32/1.59 (define @t162 () (= tptp.v_p (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t161 @t6))) % 1.32/1.59 (define @t163 () (=> @t162 (= @t161 @t8))) % 1.32/1.59 (define @t164 () (@list @t161)) % 1.32/1.59 (define @t165 () (forall @t164 @t163)) % 1.32/1.59 (define @t166 () (not @t165)) % 1.32/1.59 (define @t167 () (tptp.hAPP @t39 @t125)) % 1.32/1.59 (define @t168 () (tptp.hAPP @t167 @t12)) % 1.32/1.59 (define @t169 () (=> @t24 (= @t168 @t19))) % 1.32/1.59 (define @t170 () (@list @t125 @t16)) % 1.32/1.59 (define @t171 () (forall @t170 @t169)) % 1.32/1.59 (define @t172 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t8)) % 1.32/1.59 (define @t173 () (tptp.c_Power_Opower__class_Opower @t5)) % 1.32/1.59 (define @t174 () (tptp.hAPP @t173 tptp.v_q)) % 1.32/1.59 (define @t175 () (tptp.hAPP @t174 @t13)) % 1.32/1.59 (define @t176 () (tptp.hAPP @t39 @t122)) % 1.32/1.59 (define @t177 () (tptp.hAPP @t167 @t137)) % 1.32/1.59 (define @t178 () (tptp.hAPP @t73 @t177)) % 1.32/1.59 (define @t179 () (tptp.hAPP @t126 @t122)) % 1.32/1.59 (define @t180 () (tptp.class_RealVector_Oreal__normed__field @t16)) % 1.32/1.59 (define @t181 () (@list @t122 @t16)) % 1.32/1.59 (define @t182 () (= (tptp.hAPP @t98 @t19) @t21)) % 1.32/1.59 (define @t183 () (= (tptp.hAPP (tptp.hAPP @t73 @t19) @t21) @t21)) % 1.32/1.59 (define @t184 () (tptp.c_Polynomial_Opoly @t16 @t32)) % 1.32/1.59 (define @t185 () (tptp.class_Rings_Oidom @t16)) % 1.32/1.59 (define @t186 () (and (tptp.class_Int_Oring__char__0 @t16) @t185)) % 1.32/1.59 (define @t187 () (@list @t96 @t32 @t16)) % 1.32/1.59 (define @t188 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t129)) % 1.32/1.59 (define @t189 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t43 @t129)) % 1.32/1.59 (define @t190 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t43)) % 1.32/1.59 (define @t191 () (tptp.hAPP @t157 @t21)) % 1.32/1.59 (define @t192 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t158)) % 1.32/1.59 (define @t193 () (@list @t43 @t129 @t21 @t16)) % 1.32/1.59 (define @t194 () (@var "V_d" $$unsorted)) % 1.32/1.59 (define @t195 () (tptp.hAPP @t157 @t194)) % 1.32/1.59 (define @t196 () (@list @t194 @t129 @t43 @t21 @t16)) % 1.32/1.59 (define @t197 () (@var "V_k" $$unsorted)) % 1.32/1.59 (define @t198 () (tptp.class_Rings_Odvd @t16)) % 1.32/1.59 (define @t199 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t99 @t129)) % 1.32/1.59 (define @t200 () (tptp.hAPP @t176 @t15)) % 1.32/1.59 (define @t201 () (tptp.hAPP @t167 @t15)) % 1.32/1.59 (define @t202 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t125 @t122)) % 1.32/1.59 (define @t203 () (tptp.c_Polynomial_Opoly @t16 @t18)) % 1.32/1.59 (define @t204 () (@list @t32 @t16)) % 1.32/1.59 (define @t205 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t34 @t57)) % 1.32/1.59 (define @t206 () (or @t71 @t205)) % 1.32/1.59 (define @t207 () (tptp.hAPP @t73 @t57)) % 1.32/1.59 (define @t208 () (tptp.hAPP @t207 @t70)) % 1.32/1.59 (define @t209 () (@list @t57 @t70 @t34 @t16)) % 1.32/1.59 (define @t210 () (tptp.hAPP @t73 @t70)) % 1.32/1.59 (define @t211 () (tptp.hAPP @t210 @t57)) % 1.32/1.59 (define @t212 () (tptp.hAPP @t210 @t34)) % 1.32/1.59 (define @t213 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t137) @t125)) % 1.32/1.59 (define @t214 () (tptp.c_Polynomial_Opoly @t16 @t132)) % 1.32/1.59 (define @t215 () (tptp.hAPP @t214 @t125)) % 1.32/1.59 (define @t216 () (tptp.hAPP @t134 @t137)) % 1.32/1.59 (define @t217 () (@list @t125 @t137 @t132 @t16)) % 1.32/1.59 (define @t218 () (@var "V_one_2" $$unsorted)) % 1.32/1.59 (define @t219 () (@var "V_times_2" $$unsorted)) % 1.32/1.59 (define @t220 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t16 @t218 @t219) @t34)) % 1.32/1.59 (define @t221 () (= @t149 @t30)) % 1.32/1.59 (define @t222 () (@list @t149 @t16)) % 1.32/1.59 (define @t223 () (= @t99 @t191)) % 1.32/1.59 (define @t224 () (forall @t102 (=> @t24 @t223))) % 1.32/1.59 (define @t225 () (@var "V_ry" $$unsorted)) % 1.32/1.59 (define @t226 () (@var "V_lx" $$unsorted)) % 1.32/1.59 (define @t227 () (tptp.hAPP @t73 @t226)) % 1.32/1.59 (define @t228 () (@var "V_rx" $$unsorted)) % 1.32/1.59 (define @t229 () (tptp.hAPP @t73 @t228)) % 1.32/1.59 (define @t230 () (tptp.hAPP @t229 @t225)) % 1.32/1.59 (define @t231 () (tptp.hAPP @t227 @t230)) % 1.32/1.59 (define @t232 () (@list @t225 @t228 @t226 @t16)) % 1.32/1.59 (define @t233 () (tptp.hAPP @t73 (tptp.hAPP @t227 @t228))) % 1.32/1.59 (define @t234 () (@var "V_ly" $$unsorted)) % 1.32/1.59 (define @t235 () (tptp.hAPP @t73 @t234)) % 1.32/1.59 (define @t236 () (tptp.hAPP @t73 (tptp.hAPP @t227 @t234))) % 1.32/1.59 (define @t237 () (tptp.hAPP @t236 @t228)) % 1.32/1.59 (define @t238 () (@list @t228 @t234 @t226 @t16)) % 1.32/1.59 (define @t239 () (tptp.hAPP @t236 @t230)) % 1.32/1.59 (define @t240 () (@list @t225 @t228 @t234 @t226 @t16)) % 1.32/1.59 (define @t241 () (= @t149 @t19)) % 1.32/1.59 (define @t242 () (tptp.hAPP @t86 @t132)) % 1.32/1.59 (define @t243 () (tptp.hAPP @t167 @t132)) % 1.32/1.59 (define @t244 () (@list @t137 @t132 @t125 @t16)) % 1.32/1.59 (define @t245 () (tptp.class_RealVector_Oreal__normed__algebra @t16)) % 1.32/1.59 (define @t246 () (= @t84 @t12)) % 1.32/1.59 (define @t247 () (@list @t15 @t84)) % 1.32/1.59 (define @t248 () (@list @t15)) % 1.32/1.59 (define @t249 () (= @t110 @t91)) % 1.32/1.59 (define @t250 () (@var "V_m_2" $$unsorted)) % 1.32/1.59 (define @t251 () (= @t250 @t91)) % 1.32/1.59 (define @t252 () (and @t251 @t249)) % 1.32/1.59 (define @t253 () (tptp.hAPP @t86 @t250)) % 1.32/1.59 (define @t254 () (tptp.hAPP @t253 @t110)) % 1.32/1.59 (define @t255 () (@list @t110 @t250)) % 1.32/1.59 (define @t256 () (tptp.hAPP @t86 @t15)) % 1.32/1.59 (define @t257 () (@var "V_ka_2" $$unsorted)) % 1.32/1.59 (define @t258 () (= @t257 @t12)) % 1.32/1.59 (define @t259 () (= @t250 @t110)) % 1.32/1.59 (define @t260 () (or @t259 @t258)) % 1.32/1.59 (define @t261 () (tptp.hAPP @t86 @t110)) % 1.32/1.59 (define @t262 () (tptp.hAPP @t261 @t257)) % 1.32/1.59 (define @t263 () (tptp.hAPP @t253 @t257)) % 1.32/1.59 (define @t264 () (@list @t110 @t257 @t250)) % 1.32/1.59 (define @t265 () (tptp.hAPP @t86 @t257)) % 1.32/1.59 (define @t266 () (tptp.hAPP @t265 @t110)) % 1.32/1.59 (define @t267 () (tptp.hAPP @t265 @t250)) % 1.32/1.59 (define @t268 () (= @t267 @t266)) % 1.32/1.59 (define @t269 () (@list @t110 @t250 @t257)) % 1.32/1.59 (define @t270 () (@list @t250)) % 1.32/1.59 (define @t271 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t250 @t110)) % 1.32/1.59 (define @t272 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t267 @t266)) % 1.32/1.59 (define @t273 () (tptp.hAPP @t256 @t197)) % 1.32/1.59 (define @t274 () (@list @t197 @t15 @t84)) % 1.32/1.59 (define @t275 () (tptp.hAPP @t256 @t84)) % 1.32/1.59 (define @t276 () (@list @t84)) % 1.32/1.59 (define @t277 () (= @t250 @t12)) % 1.32/1.59 (define @t278 () (tptp.c_Polynomial_Oorder @t16 @t21 @t132)) % 1.32/1.59 (define @t279 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t21)) % 1.32/1.59 (define @t280 () (tptp.hAPP @t22 (tptp.c_Polynomial_OpCons @t16 @t279 @t20))) % 1.32/1.59 (define @t281 () (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.hAPP @t280 @t278) @t132)) % 1.32/1.59 (define @t282 () (@list @t132 @t21 @t16)) % 1.32/1.59 (define @t283 () (tptp.class_Rings_Ocomm__ring__1 @t16)) % 1.32/1.59 (define @t284 () (@var "T_b" $$unsorted)) % 1.32/1.59 (define @t285 () (tptp.c_Polynomial_Opoly__rec @t16 @t284 @t148 @t2 @t32)) % 1.32/1.59 (define @t286 () (tptp.hAPP (tptp.hAPP @t2 @t34) @t32)) % 1.32/1.59 (define @t287 () (tptp.c_Polynomial_Opoly__rec @t16 @t284 @t148 @t2 (tptp.c_Polynomial_OpCons @t284 @t34 @t32))) % 1.32/1.59 (define @t288 () (tptp.tc_Polynomial_Opoly @t284)) % 1.32/1.59 (define @t289 () (tptp.c_Groups_Ozero__class_Ozero @t288)) % 1.32/1.59 (define @t290 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t284)) @t289) @t148) @t148)) % 1.32/1.59 (define @t291 () (tptp.class_Groups_Ozero @t284)) % 1.32/1.59 (define @t292 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t70)) % 1.32/1.59 (define @t293 () (@list @t70 @t32 @t16)) % 1.32/1.59 (define @t294 () (tptp.c_Polynomial_Odegree @t16 @t32)) % 1.32/1.59 (define @t295 () (@list @t125)) % 1.32/1.59 (define @t296 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t125 @t122)) % 1.32/1.59 (define @t297 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t122 @t125)) % 1.32/1.59 (define @t298 () (and @t296 (not @t297))) % 1.32/1.59 (define @t299 () (@list @t122 @t125)) % 1.32/1.59 (define @t300 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t125 @t124)) % 1.32/1.59 (define @t301 () (and @t300 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t124 @t125)))) % 1.32/1.59 (define @t302 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t122 @t124)) % 1.32/1.59 (define @t303 () (=> (and @t302 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t124 @t122))) @t301)) % 1.32/1.59 (define @t304 () (@list @t124 @t122 @t125)) % 1.32/1.59 (define @t305 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t43)) % 1.32/1.59 (define @t306 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t21)) % 1.32/1.59 (define @t307 () (and @t305 (not @t306))) % 1.32/1.59 (define @t308 () (@list @t43 @t21)) % 1.32/1.59 (define @t309 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t129)) % 1.32/1.59 (define @t310 () (and @t309 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t129 @t21)))) % 1.32/1.59 (define @t311 () (= @t43 @t129)) % 1.32/1.59 (define @t312 () (@list @t129 @t43 @t21)) % 1.32/1.59 (define @t313 () (= @t125 @t122)) % 1.32/1.59 (define @t314 () (not @t313)) % 1.32/1.59 (define @t315 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t129)) % 1.32/1.59 (define @t316 () (= @t21 @t43)) % 1.32/1.59 (define @t317 () (= @t84 @t15)) % 1.32/1.59 (define @t318 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t15 @t84)) % 1.32/1.59 (define @t319 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t84 @t15)) % 1.32/1.59 (define @t320 () (not @t316)) % 1.32/1.59 (define @t321 () (= @t149 @t144)) % 1.32/1.59 (define @t322 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t149 @t144)) % 1.32/1.59 (define @t323 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t144 @t149)) % 1.32/1.59 (define @t324 () (not @t321)) % 1.32/1.59 (define @t325 () (and @t322 (not @t323))) % 1.32/1.59 (define @t326 () (@list @t144 @t149)) % 1.32/1.59 (define @t327 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t132)) % 1.32/1.59 (define @t328 () (tptp.c_Polynomial_OpCons @t16 @t21 @t132)) % 1.32/1.59 (define @t329 () (tptp.class_Groups_Oab__group__add @t16)) % 1.32/1.59 (define @t330 () (tptp.class_Rings_Ocomm__ring @t16)) % 1.32/1.59 (define @t331 () (tptp.c_Polynomial_Omonom @t16 @t21 @t84)) % 1.32/1.59 (define @t332 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t331) @t15)) % 1.32/1.59 (define @t333 () (not @t317)) % 1.32/1.59 (define @t334 () (tptp.c_Polynomial_Omonom @t16 @t21 @t15)) % 1.32/1.59 (define @t335 () (@var "B_n" $$unsorted)) % 1.32/1.59 (define @t336 () (tptp.c_Polynomial_Ocoeff @t16 @t32)) % 1.32/1.59 (define @t337 () (tptp.c_Polynomial_Ocoeff @t16 @t132)) % 1.32/1.59 (define @t338 () (tptp.hAPP @t337 @t15)) % 1.32/1.59 (define @t339 () (@list @t15 @t132 @t16)) % 1.32/1.59 (define @t340 () (@list @t144 @t149 @t16)) % 1.32/1.59 (define @t341 () (tptp.c_Polynomial_Omonom @t16 @t34 @t110)) % 1.32/1.59 (define @t342 () (tptp.class_Groups_Ogroup__add @t16)) % 1.32/1.59 (define @t343 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t34)) % 1.32/1.59 (define @t344 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t57)) % 1.32/1.59 (define @t345 () (= @t34 @t344)) % 1.32/1.59 (define @t346 () (@list @t34 @t16)) % 1.32/1.59 (define @t347 () (tptp.class_Groups_Olinordered__ab__group__add @t16)) % 1.32/1.59 (define @t348 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t99)) % 1.32/1.59 (define @t349 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t43)) % 1.32/1.59 (define @t350 () (tptp.hAPP @t98 @t349)) % 1.32/1.59 (define @t351 () (@var "V_xa" $$unsorted)) % 1.32/1.59 (define @t352 () (tptp.hAPP @t73 @t351)) % 1.32/1.59 (define @t353 () (tptp.hAPP @t352 @t125)) % 1.32/1.59 (define @t354 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t125)) % 1.32/1.59 (define @t355 () (tptp.hAPP @t73 @t279)) % 1.32/1.59 (define @t356 () (tptp.hAPP @t355 @t43)) % 1.32/1.59 (define @t357 () (@list @t122 @t125 @t16)) % 1.32/1.59 (define @t358 () (tptp.class_Rings_Oring @t16)) % 1.32/1.59 (define @t359 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t149 @t144)) % 1.32/1.59 (define @t360 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t144)) % 1.32/1.59 (define @t361 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t149)) % 1.32/1.59 (define @t362 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t45)) % 1.32/1.59 (define @t363 () (= @t362 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t21 @t349))) % 1.32/1.59 (define @t364 () (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t279 @t349) @t45)) % 1.32/1.59 (define @t365 () (tptp.c_Polynomial_Odegree @t16 @t132)) % 1.32/1.59 (define @t366 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t19)) % 1.32/1.59 (define @t367 () (tptp.hAPP @t150 @t149)) % 1.32/1.59 (define @t368 () (@list @t21 @t43 @t16)) % 1.32/1.59 (define @t369 () (tptp.c_Polynomial_Ocoeff @t16 @t328)) % 1.32/1.59 (define @t370 () (tptp.hAPP @t369 @t12)) % 1.32/1.59 (define @t371 () (=> @t31 (= @t370 @t21))) % 1.32/1.59 (define @t372 () (forall @t282 @t371)) % 1.32/1.59 (define @t373 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t132 @t137)) % 1.32/1.59 (define @t374 () (tptp.c_Polynomial_Odegree @t16 @t137)) % 1.32/1.59 (define @t375 () (tptp.c_Polynomial_Ocoeff @t16 @t137)) % 1.32/1.59 (define @t376 () (tptp.hAPP @t375 @t374)) % 1.32/1.59 (define @t377 () (tptp.hAPP @t337 @t365)) % 1.32/1.59 (define @t378 () (@list @t137 @t132 @t16)) % 1.32/1.59 (define @t379 () (tptp.hAPP (tptp.hAPP @t39 @t279) @t15)) % 1.32/1.59 (define @t380 () (tptp.class_Rings_Oring__1 @t16)) % 1.32/1.59 (define @t381 () (tptp.hAPP @t336 @t294)) % 1.32/1.59 (define @t382 () (= @t132 @t18)) % 1.32/1.59 (define @t383 () (not @t382)) % 1.32/1.59 (define @t384 () (tptp.c_Polynomial_Omonom @t16 @t21 @t12)) % 1.32/1.59 (define @t385 () (=> @t31 (= @t384 @t92))) % 1.32/1.59 (define @t386 () (forall @t55 @t385)) % 1.32/1.59 (define @t387 () (tptp.c_Polynomial_Osynthetic__div @t16 @t132 @t129)) % 1.32/1.59 (define @t388 () (tptp.hAPP @t214 @t129)) % 1.32/1.59 (define @t389 () (tptp.c_Polynomial_OpCons @t16 @t388 @t387)) % 1.32/1.59 (define @t390 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t26) @t15)) % 1.32/1.59 (define @t391 () (not (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.hAPP @t280 (tptp.c_Nat_OSuc @t278)) @t132))) % 1.32/1.59 (define @t392 () (@list @t21 @t132 @t16)) % 1.32/1.59 (define @t393 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.32/1.59 (define @t394 () (@list @t43 @t15 @t21)) % 1.32/1.59 (define @t395 () (@list @t57 @t34 @t110)) % 1.32/1.59 (define @t396 () (tptp.c_Polynomial_Opoly__gcd @t16 @t125 @t122)) % 1.32/1.59 (define @t397 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t396) (tptp.c_Polynomial_Odegree @t16 @t396))) % 1.32/1.59 (define @t398 () (= @t122 @t18)) % 1.32/1.59 (define @t399 () (= @t125 @t18)) % 1.32/1.59 (define @t400 () (and @t399 @t398)) % 1.32/1.59 (define @t401 () (not @t400)) % 1.32/1.59 (define @t402 () (tptp.c_Nat_OSuc @t365)) % 1.32/1.59 (define @t403 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t16 @t132)) % 1.32/1.59 (define @t404 () (tptp.c_Nat_OSuc @t12)) % 1.32/1.59 (define @t405 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t122)) % 1.32/1.59 (define @t406 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t125)) % 1.32/1.59 (define @t407 () (tptp.hAPP @t375 @t15)) % 1.32/1.59 (define @t408 () (tptp.c_Groups_Oplus__class_Oplus @t17 @t132 @t137)) % 1.32/1.59 (define @t409 () (tptp.class_Groups_Ocomm__monoid__add @t16)) % 1.32/1.59 (define @t410 () (@list @t15 @t137 @t132 @t16)) % 1.32/1.59 (define @t411 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t43)) % 1.32/1.59 (define @t412 () (tptp.c_Polynomial_Omonom @t16 @t43 @t15)) % 1.32/1.59 (define @t413 () (@list @t43 @t15 @t21 @t16)) % 1.32/1.59 (define @t414 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t129 @t21)) % 1.32/1.59 (define @t415 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t43 @t21)) % 1.32/1.59 (define @t416 () (tptp.class_Groups_Ocancel__semigroup__add @t16)) % 1.32/1.59 (define @t417 () (@list @t129 @t21 @t43 @t16)) % 1.32/1.59 (define @t418 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t129)) % 1.32/1.59 (define @t419 () (=> (= @t411 @t418) @t311)) % 1.32/1.59 (define @t420 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t43 @t194)) % 1.32/1.59 (define @t421 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t129 @t194)) % 1.32/1.59 (define @t422 () (= @t57 @t70)) % 1.32/1.59 (define @t423 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t70 @t34)) % 1.32/1.59 (define @t424 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t57 @t34)) % 1.32/1.59 (define @t425 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t34 @t70)) % 1.32/1.59 (define @t426 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t34 @t57)) % 1.32/1.59 (define @t427 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t411 @t129)) % 1.32/1.59 (define @t428 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t43 @t129)) % 1.32/1.59 (define @t429 () (= @t427 (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t428))) % 1.32/1.59 (define @t430 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t421)) % 1.32/1.59 (define @t431 () (@list @t194 @t129 @t21 @t16)) % 1.32/1.59 (define @t432 () (tptp.c_Polynomial_Opoly__gcd @t16 @t21 (tptp.c_Polynomial_Opoly__gcd @t16 @t43 @t129))) % 1.32/1.59 (define @t433 () (tptp.c_Polynomial_Opoly__gcd @t16 @t21 @t43)) % 1.32/1.59 (define @t434 () (tptp.c_Polynomial_OpCons @t16 @t43 @t137)) % 1.32/1.59 (define @t435 () (@list @t137 @t43 @t132 @t21 @t16)) % 1.32/1.59 (define @t436 () (@var "V_nat_H_2" $$unsorted)) % 1.32/1.59 (define @t437 () (@var "V_nat_2" $$unsorted)) % 1.32/1.59 (define @t438 () (tptp.c_Nat_OSuc @t15)) % 1.32/1.59 (define @t439 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t16)) % 1.32/1.59 (define @t440 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t30) @t21)) % 1.32/1.59 (define @t441 () (tptp.class_Groups_Omonoid__add @t16)) % 1.32/1.59 (define @t442 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t34 @t34)) % 1.32/1.59 (define @t443 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t30 @t21) @t21)) % 1.32/1.59 (define @t444 () (@var "V_e" $$unsorted)) % 1.32/1.59 (define @t445 () (tptp.hAPP @t73 @t411)) % 1.32/1.59 (define @t446 () (= (tptp.hAPP @t445 @t129) (tptp.c_Groups_Oplus__class_Oplus @t16 @t139 @t158))) % 1.32/1.59 (define @t447 () (tptp.hAPP @t98 @t84)) % 1.32/1.59 (define @t448 () (@var "V_ya" $$unsorted)) % 1.32/1.59 (define @t449 () (tptp.hAPP @t123 @t448)) % 1.32/1.59 (define @t450 () (tptp.hAPP @t126 @t448)) % 1.32/1.59 (define @t451 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t125 @t122)) % 1.32/1.59 (define @t452 () (@list @t448 @t122 @t125 @t16)) % 1.32/1.59 (define @t453 () (@var "V_a_H" $$unsorted)) % 1.32/1.59 (define @t454 () (tptp.hAPP @t73 @t453)) % 1.32/1.59 (define @t455 () (tptp.hAPP @t454 @t43)) % 1.32/1.59 (define @t456 () (@list @t43 @t453 @t21 @t16)) % 1.32/1.59 (define @t457 () (@var "V_d_2" $$unsorted)) % 1.32/1.59 (define @t458 () (tptp.hAPP @t74 @t457)) % 1.32/1.59 (define @t459 () (= @t70 @t457)) % 1.32/1.59 (define @t460 () (@list @t457 @t70 @t57 @t34 @t16)) % 1.32/1.59 (define @t461 () (tptp.hAPP @t352 @t122)) % 1.32/1.59 (define @t462 () (@list @t122 @t125 @t351 @t16)) % 1.32/1.59 (define @t463 () (@list @t124 @t122 @t125 @t16)) % 1.32/1.59 (define @t464 () (@var "V_b_H" $$unsorted)) % 1.32/1.59 (define @t465 () (tptp.hAPP @t98 @t464)) % 1.32/1.59 (define @t466 () (@list @t464 @t43 @t21 @t16)) % 1.32/1.59 (define @t467 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t411)) % 1.32/1.59 (define @t468 () (tptp.c_Nat_OSuc @t84)) % 1.32/1.59 (define @t469 () (@var "V_nat_H" $$unsorted)) % 1.32/1.59 (define @t470 () (@var "V_nat_H_1" $$unsorted)) % 1.32/1.59 (define @t471 () (tptp.hAPP @t393 @t149)) % 1.32/1.59 (define @t472 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t21 @t129)) % 1.32/1.59 (define @t473 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t122 @t448)) % 1.32/1.59 (define @t474 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t125 @t448)) % 1.32/1.59 (define @t475 () (tptp.hAPP @t86 (tptp.c_Nat_OSuc @t257))) % 1.32/1.59 (define @t476 () (tptp.hAPP @t475 @t110)) % 1.32/1.59 (define @t477 () (tptp.hAPP @t475 @t250)) % 1.32/1.59 (define @t478 () (@var "V_r" $$unsorted)) % 1.32/1.59 (define @t479 () (tptp.hAPP @t133 @t137)) % 1.32/1.59 (define @t480 () (= @t144 @t18)) % 1.32/1.59 (define @t481 () (tptp.c_Polynomial_Opoly__gcd @t16 @t149 @t144)) % 1.32/1.59 (define @t482 () (tptp.c_Nat_OSuc @t110)) % 1.32/1.59 (define @t483 () (tptp.hAPP @t73 @t478)) % 1.32/1.59 (define @t484 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t279 @t21) @t30)) % 1.32/1.59 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t19)) % 1.32/1.59 (define @t486 () (tptp.hAPP (tptp.hAPP @t73 @t485) @t84)) % 1.32/1.59 (define @t487 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t19 @t19)) % 1.32/1.59 (define @t488 () (tptp.hAPP @t40 @t438)) % 1.32/1.59 (define @t489 () (tptp.hAPP @t167 (tptp.c_Nat_OSuc @t137))) % 1.32/1.59 (define @t490 () (@list @t137 @t125 @t16)) % 1.32/1.59 (define @t491 () (tptp.hAPP @t126 @t177)) % 1.32/1.59 (define @t492 () (= @t250 @t404)) % 1.32/1.59 (define @t493 () (= @t110 @t404)) % 1.32/1.59 (define @t494 () (@list @t15 @t132 @t21 @t16)) % 1.32/1.59 (define @t495 () (tptp.hAPP @t123 @t124)) % 1.32/1.59 (define @t496 () (tptp.hAPP (tptp.hAPP @t73 @t121) @t122)) % 1.32/1.59 (define @t497 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t121 @t124)) % 1.32/1.59 (define @t498 () (not (= @t124 @t30))) % 1.32/1.59 (define @t499 () (not (= @t122 @t30))) % 1.32/1.59 (define @t500 () (@list @t121 @t125 @t124 @t122 @t16)) % 1.32/1.59 (define @t501 () (tptp.hAPP @t73 @t124)) % 1.32/1.59 (define @t502 () (tptp.hAPP @t501 @t122)) % 1.32/1.59 (define @t503 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t125 @t502)) % 1.32/1.59 (define @t504 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t125 @t124)) % 1.32/1.59 (define @t505 () (@list @t122 @t125 @t124 @t16)) % 1.32/1.59 (define @t506 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t503 @t122)) % 1.32/1.59 (define @t507 () (@list @t124 @t125 @t122 @t16)) % 1.32/1.59 (define @t508 () (tptp.hAPP @t501 @t125)) % 1.32/1.59 (define @t509 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t122 @t124)) % 1.32/1.59 (define @t510 () (@list @t125 @t124 @t122 @t16)) % 1.32/1.59 (define @t511 () (@list @t125 @t132 @t21 @t16)) % 1.32/1.59 (define @t512 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.32/1.59 (define @t513 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t21 @t43)) % 1.32/1.59 (define @t514 () (tptp.c_Polynomial_Odegree @t16 @t328)) % 1.32/1.59 (define @t515 () (=> @t383 (= @t514 @t402))) % 1.32/1.59 (define @t516 () (tptp.c_Nat_OSuc @t404)) % 1.32/1.59 (define @t517 () (@var "V_P_2" $$unsorted)) % 1.32/1.59 (define @t518 () (@var "V_l_2" $$unsorted)) % 1.32/1.59 (define @t519 () (tptp.c_Polynomial_Opcompose @t16 @t132 @t137)) % 1.32/1.59 (define @t520 () (@list @t137 @t132 @t21 @t16)) % 1.32/1.59 (define @t521 () (and @t221 @t152)) % 1.32/1.59 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t367 (tptp.hAPP (tptp.hAPP @t73 @t144) @t144))) % 1.32/1.59 (define @t523 () (tptp.class_Rings_Olinordered__ring__strict @t16)) % 1.32/1.59 (define @t524 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t194) (tptp.c_Polynomial_Odegree @t16 @t194))) % 1.32/1.59 (define @t525 () (@var "V_t_2" $$unsorted)) % 1.32/1.59 (define @t526 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t457 @t525)) % 1.32/1.59 (define @t527 () (@list @t525 @t457)) % 1.32/1.59 (define @t528 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.32/1.59 (define @t529 () (tptp.hAPP @t528 @t257)) % 1.32/1.59 (define @t530 () (tptp.hAPP @t529 @t250)) % 1.32/1.59 (define @t531 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.32/1.59 (define @t532 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t15)) % 1.32/1.59 (define @t533 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t250 @t110)) % 1.32/1.59 (define @t534 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t12)) % 1.32/1.59 (define @t535 () (forall @t276 (= @t534 @t84))) % 1.32/1.59 (define @t536 () (tptp.c_Nat_OSuc @t532)) % 1.32/1.59 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t438)) % 1.32/1.59 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t468 @t15)) % 1.32/1.59 (define @t539 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t257)) % 1.32/1.59 (define @t540 () (tptp.hAPP @t86 @t197)) % 1.32/1.59 (define @t541 () (tptp.hAPP @t540 @t15)) % 1.32/1.59 (define @t542 () (tptp.hAPP @t540 @t84)) % 1.32/1.59 (define @t543 () (@list @t15 @t84 @t197)) % 1.32/1.59 (define @t544 () (tptp.hAPP @t87 @t197)) % 1.32/1.59 (define @t545 () (@var "V_u" $$unsorted)) % 1.32/1.59 (define @t546 () (@var "V_j" $$unsorted)) % 1.32/1.59 (define @t547 () (@var "V_i" $$unsorted)) % 1.32/1.59 (define @t548 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t547 @t546)) % 1.32/1.59 (define @t549 () (tptp.hAPP @t86 @t546)) % 1.32/1.59 (define @t550 () (tptp.hAPP @t86 @t547)) % 1.32/1.59 (define @t551 () (or (and @t492 @t111) (and @t277 @t493))) % 1.32/1.59 (define @t552 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t365 @t374)) % 1.32/1.59 (define @t553 () (= (tptp.hAPP (tptp.hAPP @t133 @t331) @t412) (tptp.c_Polynomial_Omonom @t16 @t99 @t532))) % 1.32/1.59 (define @t554 () (forall (@list @t15 @t43 @t84 @t21 @t16) (=> @t135 @t553))) % 1.32/1.59 (define @t555 () (tptp.hAPP @t512 @t125)) % 1.32/1.59 (define @t556 () (tptp.hAPP @t555 @t122)) % 1.32/1.59 (define @t557 () (@list @t129 @t132 @t16)) % 1.32/1.59 (define @t558 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t125 @t122)) % 1.32/1.59 (define @t559 () (tptp.hAPP @t73 @t558)) % 1.32/1.59 (define @t560 () (tptp.c_Polynomial_OpCons @t16 @t30 @t216)) % 1.32/1.59 (define @t561 () (tptp.c_Polynomial_Osmult @t16 @t21 @t132)) % 1.32/1.59 (define @t562 () (@list @t137 @t21 @t132 @t16)) % 1.32/1.59 (define @t563 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t124)) % 1.32/1.59 (define @t564 () (@list @t124)) % 1.32/1.59 (define @t565 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t124 @t121)) % 1.32/1.59 (define @t566 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t121)) % 1.32/1.59 (define @t567 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t566)) % 1.32/1.59 (define @t568 () (@list @t121 @t124)) % 1.32/1.59 (define @t569 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t121)) % 1.32/1.59 (define @t570 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.32/1.59 (define @t571 () (@var "V_z2" $$unsorted)) % 1.32/1.59 (define @t572 () (tptp.hAPP @t528 @t121)) % 1.32/1.59 (define @t573 () (tptp.hAPP @t572 @t571)) % 1.32/1.59 (define @t574 () (@var "V_z1" $$unsorted)) % 1.32/1.59 (define @t575 () (tptp.hAPP @t572 @t574)) % 1.32/1.59 (define @t576 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t574 @t571)) % 1.32/1.59 (define @t577 () (@list @t571 @t574 @t121)) % 1.32/1.59 (define @t578 () (tptp.hAPP @t528 @t571)) % 1.32/1.59 (define @t579 () (tptp.hAPP @t578 @t121)) % 1.32/1.59 (define @t580 () (tptp.hAPP @t528 @t574)) % 1.32/1.59 (define @t581 () (tptp.hAPP @t580 @t121)) % 1.32/1.59 (define @t582 () (@list @t121 @t571 @t574)) % 1.32/1.59 (define @t583 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t15)) % 1.32/1.59 (define @t584 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t197)) % 1.32/1.59 (define @t585 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t15)) % 1.32/1.59 (define @t586 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t110)) % 1.32/1.59 (define @t587 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t250)) % 1.32/1.59 (define @t588 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t546 @t197)) % 1.32/1.59 (define @t589 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t547 @t546) @t197)) % 1.32/1.59 (define @t590 () (@list @t197 @t546 @t547)) % 1.32/1.59 (define @t591 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t84)) % 1.32/1.59 (define @t592 () (@list @t84 @t15)) % 1.32/1.59 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t124)) % 1.32/1.59 (define @t594 () (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t197 @t15) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t197 @t84))) % 1.32/1.59 (define @t595 () (tptp.c_Groups_Ominus__class_Ominus @t17 @t132 @t137)) % 1.32/1.59 (define @t596 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t43)) % 1.32/1.59 (define @t597 () (tptp.hAPP @t528 @t124)) % 1.32/1.59 (define @t598 () (tptp.hAPP @t597 @t121)) % 1.32/1.59 (define @t599 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t574 @t571)) % 1.32/1.59 (define @t600 () (@var "V_z3" $$unsorted)) % 1.32/1.59 (define @t601 () (@list @t600 @t571 @t574)) % 1.32/1.59 (define @t602 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t34 @t57)) % 1.32/1.59 (define @t603 () (= @t602 (tptp.c_Groups_Ominus__class_Ominus @t16 @t70 @t457))) % 1.32/1.59 (define @t604 () (tptp.c_Polynomial_Osmult @t16 @t43 @t132)) % 1.32/1.59 (define @t605 () (@list @t132 @t43 @t21 @t16)) % 1.32/1.59 (define @t606 () (tptp.c_Polynomial_Osmult @t16 @t21 @t137)) % 1.32/1.59 (define @t607 () (= @t602 @t30)) % 1.32/1.59 (define @t608 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t43 @t21)) % 1.32/1.59 (define @t609 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t596)) % 1.32/1.59 (define @t610 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t561 @t137)) % 1.32/1.59 (define @t611 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t132 @t606)) % 1.32/1.59 (define @t612 () (@list @t21 @t137 @t132 @t16)) % 1.32/1.59 (define @t613 () (tptp.c_Polynomial_Osmult @t16 @t21 @t216)) % 1.32/1.59 (define @t614 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t561)) % 1.32/1.59 (define @t615 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t122 @t43)) % 1.32/1.59 (define @t616 () (tptp.hAPP @t73 (tptp.c_Groups_Ominus__class_Ominus @t16 @t125 @t21))) % 1.32/1.59 (define @t617 () (tptp.hAPP @t616 @t43)) % 1.32/1.59 (define @t618 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t179 @t99)) % 1.32/1.59 (define @t619 () (@list @t43 @t21 @t122 @t125 @t16)) % 1.32/1.59 (define @t620 () (@var "V_e_2" $$unsorted)) % 1.32/1.59 (define @t621 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t73 @t602) @t620) @t70)) % 1.32/1.59 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t207 @t620) @t457)) % 1.32/1.59 (define @t623 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t74 @t620) @t70)) % 1.32/1.59 (define @t624 () (= @t623 @t622)) % 1.32/1.59 (define @t625 () (@list @t457 @t57 @t70 @t620 @t34 @t16)) % 1.32/1.59 (define @t626 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t73 (tptp.c_Groups_Ominus__class_Ominus @t16 @t57 @t34)) @t620) @t457)) % 1.32/1.59 (define @t627 () (= @t596 (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t349))) % 1.32/1.59 (define @t628 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t122)) % 1.32/1.59 (define @t629 () (tptp.c_Polynomial_Osmult @t16 @t34 @t32)) % 1.32/1.59 (define @t630 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t91)) % 1.32/1.59 (define @t631 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t32 @t96)) % 1.32/1.59 (define @t632 () (not @t35)) % 1.32/1.59 (define @t633 () (@list @t96 @t32 @t34 @t16)) % 1.32/1.59 (define @t634 () (tptp.c_Polynomial_Osmult @t16 @t129 @t132)) % 1.32/1.59 (define @t635 () (@list @t21 @t132 @t129 @t16)) % 1.32/1.59 (define @t636 () (tptp.hAPP @t126 @t125)) % 1.32/1.59 (define @t637 () (@var "V_D_2" $$unsorted)) % 1.32/1.59 (define @t638 () (not @t246)) % 1.32/1.59 (define @t639 () (tptp.c_Polynomial_Odegree @t16 @t561)) % 1.32/1.59 (define @t640 () (= @t96 @t18)) % 1.32/1.59 (define @t641 () (tptp.hAPP @t528 @t197)) % 1.32/1.59 (define @t642 () (tptp.hAPP @t393 @t132)) % 1.32/1.59 (define @t643 () (tptp.hAPP @t642 @t84)) % 1.32/1.59 (define @t644 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t91)) % 1.32/1.59 (define @t645 () (tptp.hAPP @t39 @t84)) % 1.32/1.59 (define @t646 () (tptp.hAPP @t73 @t84)) % 1.32/1.59 (define @t647 () (tptp.hAPP @t645 @t15)) % 1.32/1.59 (define @t648 () (@var "V_h" $$unsorted)) % 1.32/1.59 (define @t649 () (tptp.hAPP @t154 @t194)) % 1.32/1.59 (define @t650 () (tptp.c_Polynomial_OpCons @t16 @t21 @t478)) % 1.32/1.59 (define @t651 () (tptp.c_Polynomial_OpCons @t16 @t21 @t125)) % 1.32/1.59 (define @t652 () (tptp.c_Polynomial_Odegree @t16 @t122)) % 1.32/1.59 (define @t653 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t122) @t652)) % 1.32/1.59 (define @t654 () (not @t398)) % 1.32/1.59 (define @t655 () (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t122 @t137 @t478)) % 1.32/1.59 (define @t656 () (@list @t194 @t43 @t129 @t21 @t16)) % 1.32/1.59 (define @t657 () (@var "V_q2" $$unsorted)) % 1.32/1.59 (define @t658 () (@var "V_q1" $$unsorted)) % 1.32/1.59 (define @t659 () (= @t658 @t657)) % 1.32/1.59 (define @t660 () (@var "V_r2" $$unsorted)) % 1.32/1.59 (define @t661 () (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t122 @t657 @t660)) % 1.32/1.59 (define @t662 () (@var "V_r1" $$unsorted)) % 1.32/1.59 (define @t663 () (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t122 @t658 @t662)) % 1.32/1.59 (define @t664 () (@list @t660 @t657 @t662 @t658 @t122 @t125 @t16)) % 1.32/1.59 (define @t665 () (= @t662 @t660)) % 1.32/1.59 (define @t666 () (@var "V_r_2" $$unsorted)) % 1.32/1.59 (define @t667 () (= @t666 @t18)) % 1.32/1.59 (define @t668 () (tptp.c_Polynomial_Osmult @t16 @t21 @t125)) % 1.32/1.59 (define @t669 () (@var "V_r_H" $$unsorted)) % 1.32/1.59 (define @t670 () (tptp.hAPP @t133 @t122)) % 1.32/1.59 (define @t671 () (@var "V_q_H" $$unsorted)) % 1.32/1.59 (define @t672 () (tptp.hAPP @t670 @t124)) % 1.32/1.59 (define @t673 () (tptp.c_Divides_Odiv__class_Omod @t17 @t125 @t122)) % 1.32/1.59 (define @t674 () (tptp.c_Polynomial_OpCons @t16 @t21 @t673)) % 1.32/1.59 (define @t675 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t132 @t648)) % 1.32/1.59 (define @t676 () (tptp.c_Polynomial_Odegree @t16 @t125)) % 1.32/1.59 (define @t677 () (tptp.c_Polynomial_Osmult @t16 (tptp.c_Rings_Oinverse__class_Oinverse @t16 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t125) @t676)) @t125)) % 1.32/1.59 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t468 @t438)) % 1.32/1.59 (define @t679 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t84 @t15)) % 1.32/1.59 (define @t680 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t149)) % 1.32/1.59 (define @t681 () (tptp.class_Fields_Olinordered__field__inverse__zero @t16)) % 1.32/1.59 (define @t682 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t21)) % 1.32/1.59 (define @t683 () (tptp.c_Orderings_Oord__class_Oless @t16 @t21 @t19)) % 1.32/1.59 (define @t684 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t21)) % 1.32/1.59 (define @t685 () (tptp.class_Fields_Olinordered__field @t16)) % 1.32/1.59 (define @t686 () (@var "V_l" $$unsorted)) % 1.32/1.59 (define @t687 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t546 @t197)) % 1.32/1.59 (define @t688 () (@list @t478 @t137 @t122 @t125 @t16)) % 1.32/1.59 (define @t689 () (@var "V_N" $$unsorted)) % 1.32/1.59 (define @t690 () (tptp.hAPP @t40 @t689)) % 1.32/1.59 (define @t691 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t21)) % 1.32/1.59 (define @t692 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t689)) % 1.32/1.59 (define @t693 () (tptp.class_Rings_Olinordered__semidom @t16)) % 1.32/1.59 (define @t694 () (@list @t21 @t689 @t15 @t16)) % 1.32/1.59 (define @t695 () (tptp.hAPP @t39 @t57)) % 1.32/1.59 (define @t696 () (tptp.c_Orderings_Oord__class_Oless @t16 @t34 @t57)) % 1.32/1.59 (define @t697 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t16)) % 1.32/1.59 (define @t698 () (tptp.c_Orderings_Oord__class_Oless @t16 @t418 @t428)) % 1.32/1.59 (define @t699 () (tptp.c_Orderings_Oord__class_Oless @t16 @t21 @t43)) % 1.32/1.59 (define @t700 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t16)) % 1.32/1.59 (define @t701 () (tptp.c_Orderings_Oord__class_Oless @t16 @t414 (tptp.c_Groups_Oplus__class_Oplus @t16 @t129 @t43))) % 1.32/1.59 (define @t702 () (tptp.c_Orderings_Oord__class_Oless @t16 @t129 @t194)) % 1.32/1.59 (define @t703 () (tptp.class_Groups_Oordered__ab__group__add @t16)) % 1.32/1.59 (define @t704 () (tptp.c_Orderings_Oord__class_Oless @t16 @t343 @t57)) % 1.32/1.59 (define @t705 () (@list @t122 @t125 @t21 @t16)) % 1.32/1.59 (define @t706 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t15)) % 1.32/1.59 (define @t707 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t110)) % 1.32/1.59 (define @t708 () (@list @t110)) % 1.32/1.59 (define @t709 () (tptp.c_Nat_OSuc @t250)) % 1.32/1.59 (define @t710 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t709)) % 1.32/1.59 (define @t711 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t110)) % 1.32/1.59 (define @t712 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t482)) % 1.32/1.59 (define @t713 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t250)) % 1.32/1.59 (define @t714 () (@list @t250 @t110)) % 1.32/1.59 (define @t715 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t84)) % 1.32/1.59 (define @t716 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t84 @t438)) % 1.32/1.59 (define @t717 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t468 @t15)) % 1.32/1.59 (define @t718 () (tptp.c_Nat_OSuc @t547)) % 1.32/1.59 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t546)) % 1.32/1.59 (define @t720 () (not @t679)) % 1.32/1.59 (define @t721 () (@list @t84 @t546 @t547)) % 1.32/1.59 (define @t722 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t547 @t197)) % 1.32/1.59 (define @t723 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t686)) % 1.32/1.59 (define @t724 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t43)) % 1.32/1.59 (define @t725 () (= @t682 @t724)) % 1.32/1.59 (define @t726 () (tptp.class_Rings_Olinordered__idom @t16)) % 1.32/1.59 (define @t727 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t34)) % 1.32/1.59 (define @t728 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t682) @t21)) % 1.32/1.59 (define @t729 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t676 @t652)) % 1.32/1.59 (define @t730 () (tptp.hAPP @t517 @t110)) % 1.32/1.59 (define @t731 () (tptp.hBOOL (tptp.hAPP @t730 @t250))) % 1.32/1.59 (define @t732 () (@var "V_t" $$unsorted)) % 1.32/1.59 (define @t733 () (@var "V_s" $$unsorted)) % 1.32/1.59 (define @t734 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t125 @t122)) % 1.32/1.59 (define @t735 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t41) (tptp.hAPP (tptp.hAPP @t39 @t682) @t15))) % 1.32/1.59 (define @t736 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t279) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t682))) % 1.32/1.59 (define @t737 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t34)) % 1.32/1.59 (define @t738 () (tptp.c_Orderings_Oord__class_Oless @t16 @t34 @t30)) % 1.32/1.59 (define @t739 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t682)) % 1.32/1.59 (define @t740 () (tptp.c_Orderings_Oord__class_Oless @t16 @t682 @t30)) % 1.32/1.59 (define @t741 () (tptp.c_Orderings_Oord__class_Oless @t16 @t21 @t30)) % 1.32/1.59 (define @t742 () (tptp.c_Orderings_Oord__class_Oless @t16 @t724 @t682)) % 1.32/1.59 (define @t743 () (tptp.c_Orderings_Oord__class_Oless @t16 @t43 @t30)) % 1.32/1.59 (define @t744 () (tptp.c_Orderings_Oord__class_Oless @t16 @t43 @t21)) % 1.32/1.59 (define @t745 () (tptp.c_Orderings_Oord__class_Oless @t16 @t682 @t724)) % 1.32/1.59 (define @t746 () (tptp.hAPP @t73 @t682)) % 1.32/1.59 (define @t747 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t99)) % 1.32/1.59 (define @t748 () (= @t682 @t30)) % 1.32/1.59 (define @t749 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t30) @t30)) % 1.32/1.59 (define @t750 () (@list @t125 @t122 @t16)) % 1.32/1.59 (define @t751 () (= @t45 (tptp.hAPP @t98 @t724))) % 1.32/1.59 (define @t752 () (= @t682 @t38)) % 1.32/1.59 (define @t753 () (=> @t56 @t752)) % 1.32/1.59 (define @t754 () (forall @t55 @t753)) % 1.32/1.59 (define @t755 () (tptp.c_Polynomial_Osmult @t16 @t21 @t122)) % 1.32/1.59 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t16 @t156 @t155)) % 1.32/1.59 (define @t757 () (tptp.c_Orderings_Oord__class_Oless @t16 @t129 @t30)) % 1.32/1.59 (define @t758 () (tptp.c_Orderings_Oord__class_Oless @t16 @t139 @t158)) % 1.32/1.59 (define @t759 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t129)) % 1.32/1.59 (define @t760 () (=> @t699 (=> @t759 @t756))) % 1.32/1.59 (define @t761 () (tptp.class_Rings_Olinordered__semiring__strict @t16)) % 1.32/1.59 (define @t762 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t99)) % 1.32/1.59 (define @t763 () (tptp.c_Orderings_Oord__class_Oless @t16 @t99 @t30)) % 1.32/1.59 (define @t764 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t43)) % 1.32/1.59 (define @t765 () (tptp.c_Orderings_Oord__class_Oless @t16 @t57 @t34)) % 1.32/1.59 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t16 @t212 @t211)) % 1.32/1.59 (define @t767 () (tptp.c_Orderings_Oord__class_Oless @t16 @t70 @t30)) % 1.32/1.59 (define @t768 () (=> @t684 @t764)) % 1.32/1.59 (define @t769 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t70)) % 1.32/1.59 (define @t770 () (or (and @t769 @t696) (and @t767 @t765))) % 1.32/1.59 (define @t771 () (tptp.hAPP @t98 @t21)) % 1.32/1.59 (define @t772 () (tptp.class_Rings_Olinordered__ring @t16)) % 1.32/1.59 (define @t773 () (= (tptp.c_Orderings_Oord__class_Oless @t16 @t442 @t30) @t738)) % 1.32/1.59 (define @t774 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t411)) % 1.32/1.59 (define @t775 () (=> @t764 @t774)) % 1.32/1.59 (define @t776 () (tptp.class_Groups_Oordered__comm__monoid__add @t16)) % 1.32/1.59 (define @t777 () (tptp.c_Orderings_Oord__class_Oless @t16 @t411 @t30)) % 1.32/1.59 (define @t778 () (=> @t743 @t777)) % 1.32/1.59 (define @t779 () (tptp.c_Orderings_Oord__class_Oless @t16 @t43 @t418)) % 1.32/1.59 (define @t780 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t43 @t129) @t779)) % 1.32/1.59 (define @t781 () (tptp.c_Orderings_Oord__class_Oless @t16 @t472 @t130)) % 1.32/1.59 (define @t782 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t128)) % 1.32/1.59 (define @t783 () (tptp.c_Orderings_Oord__class_Oless @t16 @t122 @t30)) % 1.32/1.59 (define @t784 () (tptp.c_Orderings_Oord__class_Oless @t16 @t125 @t30)) % 1.32/1.59 (define @t785 () (tptp.c_Orderings_Oord__class_Oless @t16 @t128 @t30)) % 1.32/1.59 (define @t786 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t122)) % 1.32/1.59 (define @t787 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t125)) % 1.32/1.59 (define @t788 () (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t57)) % 1.32/1.59 (define @t789 () (tptp.c_Orderings_Oord__class_Oless @t16 @t57 @t30)) % 1.32/1.59 (define @t790 () (@var "B_m" $$unsorted)) % 1.32/1.59 (define @t791 () (@var "B_j" $$unsorted)) % 1.32/1.59 (define @t792 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t84)) % 1.32/1.59 (define @t793 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t250)) % 1.32/1.59 (define @t794 () (@list @t84 @t547)) % 1.32/1.59 (define @t795 () (=> @t654 (= @t396 (tptp.c_Polynomial_Opoly__gcd @t16 @t122 @t673)))) % 1.32/1.59 (define @t796 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t257)) % 1.32/1.59 (define @t797 () (and @t796 @t711)) % 1.32/1.59 (define @t798 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t267 @t266)) % 1.32/1.59 (define @t799 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t197)) % 1.32/1.59 (define @t800 () (@var "V_j_2" $$unsorted)) % 1.32/1.59 (define @t801 () (@var "V_i_2" $$unsorted)) % 1.32/1.59 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t149)) % 1.32/1.59 (define @t803 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 (tptp.hAPP @t471 @t110))) % 1.32/1.59 (define @t804 () (@list @t110 @t149)) % 1.32/1.59 (define @t805 () (tptp.hAPP @t393 @t547)) % 1.32/1.59 (define @t806 () (@var "V_h_2" $$unsorted)) % 1.32/1.59 (define @t807 () (tptp.c_Polynomial_Odegree @t16 @t408)) % 1.32/1.59 (define @t808 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t374 @t15)) % 1.32/1.59 (define @t809 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t365 @t15)) % 1.32/1.59 (define @t810 () (@list @t137 @t15 @t132 @t16)) % 1.32/1.59 (define @t811 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t682 @t724)) % 1.32/1.59 (define @t812 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t682 @t724)) % 1.32/1.59 (define @t813 () (tptp.hAPP @t746 @t21)) % 1.32/1.59 (define @t814 () (=> @t52 (= @t813 @t19))) % 1.32/1.59 (define @t815 () (=> @t56 @t814)) % 1.32/1.59 (define @t816 () (forall @t55 @t815)) % 1.32/1.59 (define @t817 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t636 (tptp.hAPP @t123 @t122))) % 1.32/1.59 (define @t818 () (tptp.c_Orderings_Oord__class_Oless @t16 @t623 @t622)) % 1.32/1.59 (define @t819 () (tptp.class_Rings_Oordered__ring @t16)) % 1.32/1.59 (define @t820 () (=> @t762 (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t129 @t21) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t129 @t43)))) % 1.32/1.59 (define @t821 () (tptp.c_Orderings_Oord__class_Oless @t16 @t75 @t57)) % 1.32/1.59 (define @t822 () (tptp.c_Orderings_Oord__class_Oless @t16 @t78 @t34)) % 1.32/1.59 (define @t823 () (tptp.c_Orderings_Oord__class_Oless @t16 @t57 @t75)) % 1.32/1.59 (define @t824 () (tptp.c_Orderings_Oord__class_Oless @t16 @t34 @t78)) % 1.32/1.59 (define @t825 () (not @t767)) % 1.32/1.59 (define @t826 () (not @t769)) % 1.32/1.59 (define @t827 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t411 @t487)) % 1.32/1.59 (define @t828 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t404 @t84)) % 1.32/1.59 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t404 @t15)) % 1.32/1.59 (define @t830 () (@var "B_d" $$unsorted)) % 1.32/1.59 (define @t831 () (tptp.hBOOL (tptp.hAPP @t517 @t830))) % 1.32/1.59 (define @t832 () (= @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t830))) % 1.32/1.59 (define @t833 () (@list @t830)) % 1.32/1.59 (define @t834 () (tptp.hBOOL (tptp.hAPP @t517 @t12))) % 1.32/1.59 (define @t835 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t34 @t57)) % 1.32/1.59 (define @t836 () (tptp.hBOOL (tptp.hAPP @t517 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t34 @t57)))) % 1.32/1.59 (define @t837 () (@list @t57 @t34 @t517)) % 1.32/1.59 (define @t838 () (@list @t125 @t15 @t16)) % 1.32/1.59 (define @t839 () (tptp.c_Nat_OSuc @t644)) % 1.32/1.59 (define @t840 () (tptp.class_Divides_Osemiring__div @t16)) % 1.32/1.59 (define @t841 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t547 @t546)) % 1.32/1.59 (define @t842 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t84 @t15)) % 1.32/1.59 (define @t843 () (=> @t720 (= @t842 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t583 @t15)))) % 1.32/1.59 (define @t844 () (=> @t679 (= @t842 @t84))) % 1.32/1.59 (define @t845 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 @t122) @t84)) % 1.32/1.59 (define @t846 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t125 @t84)) % 1.32/1.59 (define @t847 () (@list @t122 @t84 @t125)) % 1.32/1.59 (define @t848 () (tptp.c_Nat_OSuc @t842)) % 1.32/1.59 (define @t849 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t468 @t15)) % 1.32/1.59 (define @t850 () (= @t848 @t15)) % 1.32/1.59 (define @t851 () (@var "B_q" $$unsorted)) % 1.32/1.59 (define @t852 () (@list @t851)) % 1.32/1.59 (define @t853 () (@list @t457 @t250)) % 1.32/1.59 (define @t854 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t541 @t84)) % 1.32/1.59 (define @t855 () (@list @t84 @t15 @t197)) % 1.32/1.59 (define @t856 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t686) @t531))) % 1.32/1.59 (define @t857 () (@list @t686 @t197)) % 1.32/1.59 (define @t858 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t84 @t15)) % 1.32/1.59 (define @t859 () (@var "V_f" $$unsorted)) % 1.32/1.59 (define @t860 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t43)) % 1.32/1.59 (define @t861 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t43)) % 1.32/1.59 (define @t862 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t21)) % 1.32/1.59 (define @t863 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t862 @t43)) % 1.32/1.59 (define @t864 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t861)) % 1.32/1.59 (define @t865 () (@list @t43)) % 1.32/1.59 (define @t866 () (@list @t21)) % 1.32/1.59 (define @t867 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t43)) % 1.32/1.59 (define @t868 () (@list @t21 @t43)) % 1.32/1.59 (define @t869 () (tptp.hAPP @t528 @t21)) % 1.32/1.59 (define @t870 () (tptp.hAPP @t869 @t43)) % 1.32/1.59 (define @t871 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t870 @t129)) % 1.32/1.59 (define @t872 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t43 @t129)) % 1.32/1.59 (define @t873 () (tptp.hAPP @t869 @t872)) % 1.32/1.59 (define @t874 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t873 @t129)) % 1.32/1.59 (define @t875 () (= @t860 @t531)) % 1.32/1.59 (define @t876 () (not @t875)) % 1.32/1.59 (define @t877 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t197)) % 1.32/1.59 (define @t878 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t15 @t84)) % 1.32/1.59 (define @t879 () (tptp.hAPP @t86 @t43)) % 1.32/1.59 (define @t880 () (tptp.hAPP @t879 @t129)) % 1.32/1.59 (define @t881 () (@var "B_i" $$unsorted)) % 1.32/1.59 (define @t882 () (= @t110 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t265 @t881) @t791))) % 1.32/1.59 (define @t883 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t791 @t257)) % 1.32/1.59 (define @t884 () (@list @t881 @t791)) % 1.32/1.59 (define @t885 () (not @t258)) % 1.32/1.59 (define @t886 () (@list @t257 @t110 @t517)) % 1.32/1.59 (define @t887 () (@list @t148)) % 1.32/1.59 (define @t888 () (tptp.hAPP (tptp.hAPP @t528 @t250) @t110)) % 1.32/1.59 (define @t889 () (tptp.c_Divides_Odiv__class_Omod @t16 @t21 @t43)) % 1.32/1.59 (define @t890 () (tptp.c_Divides_Odiv__class_Omod @t16 @t43 @t129)) % 1.32/1.59 (define @t891 () (tptp.c_Divides_Odiv__class_Omod @t16 @t99 @t129)) % 1.32/1.59 (define @t892 () (tptp.c_Divides_Odiv__class_Omod @t16 @t21 @t129)) % 1.32/1.59 (define @t893 () (tptp.hAPP @t73 @t892)) % 1.32/1.59 (define @t894 () (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.hAPP @t893 @t43) @t129)) % 1.32/1.59 (define @t895 () (= @t890 (tptp.c_Divides_Odiv__class_Omod @t16 @t464 @t129))) % 1.32/1.59 (define @t896 () (= @t892 (tptp.c_Divides_Odiv__class_Omod @t16 @t453 @t129))) % 1.32/1.59 (define @t897 () (@list @t464 @t43 @t453 @t129 @t21 @t16)) % 1.32/1.59 (define @t898 () (tptp.c_Divides_Odiv__class_Omod @t16 @t411 @t129)) % 1.32/1.59 (define @t899 () (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t892 @t43) @t129)) % 1.32/1.59 (define @t900 () (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t890) @t129)) % 1.32/1.59 (define @t901 () (tptp.c_Divides_Odiv__class_Omod @t16 @t596 @t129)) % 1.32/1.59 (define @t902 () (tptp.class_Divides_Oring__div @t16)) % 1.32/1.59 (define @t903 () (tptp.c_Divides_Odiv__class_Omod @t16 @t279 @t43)) % 1.32/1.59 (define @t904 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t129 @t43)) % 1.32/1.59 (define @t905 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t197 (tptp.c_Divides_Odiv__class_Omod @t16 @t84 @t15))) % 1.32/1.59 (define @t906 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t197 @t15)) % 1.32/1.59 (define @t907 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t197 @t84)) % 1.32/1.59 (define @t908 () (@list @t15 @t84 @t197 @t16)) % 1.32/1.59 (define @t909 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t158)) % 1.32/1.59 (define @t910 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t155)) % 1.32/1.59 (define @t911 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t125 @t593)) % 1.32/1.59 (define @t912 () (tptp.c_Polynomial_Opos__poly @t16 @t32)) % 1.32/1.59 (define @t913 () (tptp.c_Polynomial_Opos__poly @t16 @t137)) % 1.32/1.59 (define @t914 () (tptp.c_Polynomial_Opos__poly @t16 @t132)) % 1.32/1.59 (define @t915 () (tptp.hAPP @t512 @t197)) % 1.32/1.59 (define @t916 () (tptp.hAPP (tptp.hAPP @t528 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 @t124)) @t570)) @t194)) % 1.32/1.59 (define @t917 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t194)) % 1.32/1.59 (define @t918 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t862 @t43)) % 1.32/1.59 (define @t919 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t861)) % 1.32/1.59 (define @t920 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t43)) % 1.32/1.59 (define @t921 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t125 @t122)) % 1.32/1.59 (define @t922 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t57 @t34)) % 1.32/1.59 (define @t923 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t125 @t122)) % 1.32/1.59 (define @t924 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t122 @t125)) % 1.32/1.59 (define @t925 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t923)) % 1.32/1.59 (define @t926 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t43 @t21)) % 1.32/1.59 (define @t927 () (tptp.hAPP @t73 @t926)) % 1.32/1.59 (define @t928 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t84 @t15)) % 1.32/1.59 (define @t929 () (tptp.hAPP (tptp.hAPP @t528 @t15) @t928)) % 1.32/1.59 (define @t930 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t21 @t43)) % 1.32/1.59 (define @t931 () (tptp.c_Divides_Odiv__class_Odiv @t16 @t156 @t155)) % 1.32/1.59 (define @t932 () (=> @t141 (= @t931 @t930))) % 1.32/1.59 (define @t933 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t43)) % 1.32/1.59 (define @t934 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t21)) % 1.32/1.59 (define @t935 () (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t45) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t934 @t933))) % 1.32/1.59 (define @t936 () (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t682) (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t934))) % 1.32/1.59 (define @t937 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t41)) % 1.32/1.59 (define @t938 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t149)) % 1.32/1.59 (define @t939 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t934 @t933)) % 1.32/1.59 (define @t940 () (tptp.class_Groups_Oordered__ab__group__add__abs @t16)) % 1.32/1.59 (define @t941 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t608)) % 1.32/1.59 (define @t942 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t596)) % 1.32/1.59 (define @t943 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t250 @t257)) % 1.32/1.59 (define @t944 () (@list @t257 @t250 @t16)) % 1.32/1.59 (define @t945 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t197)) % 1.32/1.59 (define @t946 () (tptp.hAPP @t73 @t934)) % 1.32/1.59 (define @t947 () (tptp.hAPP @t946 @t933)) % 1.32/1.59 (define @t948 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t34)) % 1.32/1.59 (define @t949 () (= @t934 @t21)) % 1.32/1.59 (define @t950 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t34 @t57) @t531)) % 1.32/1.59 (define @t951 () (@list @t34 @t57)) % 1.32/1.59 (define @t952 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t129)) % 1.32/1.59 (define @t953 () (=> @t741 (= @t934 @t279))) % 1.32/1.59 (define @t954 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t125)) % 1.32/1.59 (define @t955 () (tptp.hAPP @t528 @t43)) % 1.32/1.59 (define @t956 () (tptp.hAPP @t955 @t129)) % 1.32/1.59 (define @t957 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t129)) % 1.32/1.59 (define @t958 () (@list @t43 @t21 @t129)) % 1.32/1.59 (define @t959 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t547)) % 1.32/1.59 (define @t960 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t547 @t531)) % 1.32/1.59 (define @t961 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t955 @t920) @t860)) % 1.32/1.59 (define @t962 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t197)) % 1.32/1.59 (define @t963 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t129 @t930)) % 1.32/1.59 (define @t964 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t930 @t19)) % 1.32/1.59 (define @t965 () (tptp.hAPP (tptp.hAPP @t73 @t930) @t43)) % 1.32/1.59 (define @t966 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t157 @t930) @t889)) % 1.32/1.59 (define @t967 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t965 @t889)) % 1.32/1.59 (define @t968 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t920)) % 1.32/1.59 (define @t969 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t968 @t570)) % 1.32/1.59 (define @t970 () (not (= @t43 @t531))) % 1.32/1.59 (define @t971 () (tptp.c_Groups_Osgn__class_Osgn @t17 @t125)) % 1.32/1.59 (define @t972 () (tptp.c_Orderings_Oord__class_Oless @t17 @t18 @t125)) % 1.32/1.59 (define @t973 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t21 @t43)) % 1.32/1.59 (define @t974 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t84 @t15)) % 1.32/1.59 (define @t975 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t542 @t541)) % 1.32/1.59 (define @t976 () (= @t975 @t974)) % 1.32/1.59 (define @t977 () (= @t197 @t12)) % 1.32/1.59 (define @t978 () (tptp.c_Divides_Odiv__class_Odiv @t17 @t125 @t122)) % 1.32/1.59 (define @t979 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t978)) % 1.32/1.59 (define @t980 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t125)) % 1.32/1.59 (define @t981 () (tptp.hAPP @t73 @t980)) % 1.32/1.59 (define @t982 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t34)) % 1.32/1.59 (define @t983 () (=> @t679 (= @t974 @t12))) % 1.32/1.59 (define @t984 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t43 @t129)) % 1.32/1.59 (define @t985 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t129)) % 1.32/1.59 (define @t986 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t43 @t129)) % 1.32/1.59 (define @t987 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t21 @t129)) % 1.32/1.59 (define @t988 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t21)) % 1.32/1.59 (define @t989 () (tptp.class_RealVector_Oreal__normed__vector @t16)) % 1.32/1.59 (define @t990 () (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t30) @t30)) % 1.32/1.59 (define @t991 () (tptp.class_Groups_Osgn__if @t16)) % 1.32/1.59 (define @t992 () (tptp.hAPP @t86 @t21)) % 1.32/1.59 (define @t993 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t842)) % 1.32/1.59 (define @t994 () (tptp.hAPP (tptp.hAPP @t86 @t974) @t15)) % 1.32/1.59 (define @t995 () (=> @t720 (= @t974 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t583 @t15))))) % 1.32/1.59 (define @t996 () (tptp.hAPP @t517 @t881)) % 1.32/1.59 (define @t997 () (tptp.c_Groups_Oabs__class_Oabs @t17 @t125)) % 1.32/1.59 (define @t998 () (tptp.c_Orderings_Oord__class_Oless @t17 @t125 @t18)) % 1.32/1.59 (define @t999 () (= @t125 @t30)) % 1.32/1.59 (define @t1000 () (tptp.hBOOL (tptp.hAPP @t996 @t791))) % 1.32/1.59 (define @t1001 () (= @t110 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t529 @t881) @t791))) % 1.32/1.59 (define @t1002 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t517 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t110 @t257)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t110 @t257)))) % 1.32/1.59 (define @t1003 () (@list @t110 @t517 @t257)) % 1.32/1.59 (define @t1004 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t934 @t933)) % 1.32/1.59 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t21 @t43)) % 1.32/1.59 (define @t1006 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t934 @t43)) % 1.32/1.59 (define @t1007 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t34 @t57)) % 1.32/1.59 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t279 @t43)) % 1.32/1.59 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t21)) % 1.32/1.59 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t212 @t211)) % 1.32/1.59 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless @t16 @t139 @t195)) % 1.32/1.59 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t129)) % 1.32/1.59 (define @t1013 () (=> @t1012 @t1011)) % 1.32/1.59 (define @t1014 () (=> @t1012 @t699)) % 1.32/1.59 (define @t1015 () (=> @t758 @t1014)) % 1.32/1.59 (define @t1016 () (tptp.class_Rings_Olinordered__semiring @t16)) % 1.32/1.59 (define @t1017 () (=> @t756 @t1014)) % 1.32/1.59 (define @t1018 () (=> @t759 @t1005)) % 1.32/1.59 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t43)) % 1.32/1.59 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t122 @t19)) % 1.32/1.59 (define @t1021 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t122)) % 1.32/1.59 (define @t1022 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t125)) % 1.32/1.59 (define @t1023 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t623 @t622)) % 1.32/1.59 (define @t1024 () (@var "T_1" $$unsorted)) % 1.32/1.59 (define @t1025 () (tptp.tc_Polynomial_Opoly @t1024)) % 1.32/1.59 (define @t1026 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1024)) % 1.32/1.59 (define @t1027 () (@list @t1024)) % 1.32/1.59 (define @t1028 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1029 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1030 () (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1031 () (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1032 () (tptp.class_Rings_Oidom @t1024)) % 1.32/1.59 (define @t1033 () (tptp.class_Rings_Olinordered__idom @t1024)) % 1.32/1.59 (define @t1034 () (tptp.class_Rings_Ocomm__semiring__0 @t1024)) % 1.32/1.59 (define @t1035 () (tptp.class_Rings_Ocomm__semiring__1 @t1024)) % 1.32/1.59 (define @t1036 () (tptp.class_Groups_Ocomm__monoid__add @t1024)) % 1.32/1.59 (define @t1037 () (tptp.class_Rings_Ocomm__semiring__1 @t1025)) % 1.32/1.59 (define @t1038 () (forall @t1027 (=> @t1035 @t1037))) % 1.32/1.59 (define @t1039 () (tptp.class_Fields_Ofield @t1024)) % 1.32/1.59 (define @t1040 () (tptp.class_Groups_Oab__group__add @t1024)) % 1.32/1.59 (define @t1041 () (tptp.class_Rings_Ocomm__ring__1 @t1024)) % 1.32/1.59 (define @t1042 () (tptp.class_Rings_Ocomm__ring @t1024)) % 1.32/1.59 (define @t1043 () (tptp.hBOOL (tptp.c_fequal @t149 @t144))) % 1.32/1.59 (define @t1044 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1045 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t1044 tptp.v_k____)) % 1.32/1.59 (define @t1046 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t1045 @t6)) % 1.32/1.59 (define @t1047 () (tptp.c_Groups_Otimes__class_Otimes @t5)) % 1.32/1.59 (define @t1048 () (= @t175 (tptp.hAPP (tptp.hAPP @t1047 tptp.v_p) @t1046))) % 1.32/1.59 (define @t1049 () (= @t8 @t161)) % 1.32/1.59 (define @t1050 () (@quantifiers_skolemize (forall @t164 (or (not @t162) @t1049)) 0)) % 1.32/1.59 (define @t1051 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t1050 @t6)) % 1.32/1.59 (define @t1052 () (= tptp.v_p @t1051)) % 1.32/1.59 (define @t1053 () (not @t1052)) % 1.32/1.59 (define @t1054 () (or @t1053 (= @t8 @t1050))) % 1.32/1.59 (define @t1055 () (= @t20 @t26)) % 1.32/1.59 (define @t1056 () (@list tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1057 () (tptp.c_Groups_Oone__class_Oone @t5)) % 1.32/1.59 (define @t1058 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t1044 @t6)) % 1.32/1.59 (define @t1059 () (= @t1058 @t1057)) % 1.32/1.59 (define @t1060 () (not @t1028)) % 1.32/1.59 (define @t1061 () (or @t1060 @t1059)) % 1.32/1.59 (define @t1062 () (@list false false)) % 1.32/1.59 (define @t1063 () (= @t12 @t93)) % 1.32/1.59 (define @t1064 () (@list @t1045 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1065 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t1046)) % 1.32/1.59 (define @t1066 () (= @t12 @t1065)) % 1.32/1.59 (define @t1067 () (not @t1031)) % 1.32/1.59 (define @t1068 () (or @t1067 @t1066)) % 1.32/1.59 (define @t1069 () (= @t21 @t370)) % 1.32/1.59 (define @t1070 () (= tptp.v_k____ (tptp.hAPP (tptp.c_Polynomial_Ocoeff tptp.tc_Complex_Ocomplex @t10) @t12))) % 1.32/1.59 (define @t1071 () (or @t1067 @t1070)) % 1.32/1.59 (define @t1072 () (tptp.c_Polynomial_Ocoeff tptp.tc_Complex_Ocomplex @t1046)) % 1.32/1.59 (define @t1073 () (= @t1045 (tptp.hAPP @t1072 @t12))) % 1.32/1.59 (define @t1074 () (or @t1067 @t1073)) % 1.32/1.59 (define @t1075 () (tptp.c_Polynomial_Ocoeff tptp.tc_Complex_Ocomplex @t1051)) % 1.32/1.59 (define @t1076 () (tptp.hAPP @t1075 @t12)) % 1.32/1.59 (define @t1077 () (= @t1050 @t1076)) % 1.32/1.59 (define @t1078 () (or @t1067 @t1077)) % 1.32/1.59 (define @t1079 () (= @t92 @t384)) % 1.32/1.59 (define @t1080 () (@list tptp.v_k____ tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1081 () (= @t10 (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex tptp.v_k____ @t12))) % 1.32/1.59 (define @t1082 () (or @t1067 @t1081)) % 1.32/1.59 (define @t1083 () (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex @t1045 @t12)) % 1.32/1.59 (define @t1084 () (= @t1046 @t1083)) % 1.32/1.59 (define @t1085 () (or @t1067 @t1084)) % 1.32/1.59 (define @t1086 () (= @t38 @t682)) % 1.32/1.59 (define @t1087 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex tptp.v_k____)) % 1.32/1.59 (define @t1088 () (= @t1045 @t1087)) % 1.32/1.59 (define @t1089 () (not @t1030)) % 1.32/1.59 (define @t1090 () (or @t1089 @t1088)) % 1.32/1.59 (define @t1091 () (= @t19 @t168)) % 1.32/1.59 (define @t1092 () (tptp.class_Rings_Ocomm__semiring__1 @t5)) % 1.32/1.59 (define @t1093 () (or @t1060 @t1092)) % 1.32/1.59 (define @t1094 () (= @t1057 (tptp.hAPP @t174 @t12))) % 1.32/1.59 (define @t1095 () (not @t1092)) % 1.32/1.59 (define @t1096 () (or @t1095 @t1094)) % 1.32/1.59 (define @t1097 () (tptp.c_Polynomial_Ocoeff tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.32/1.59 (define @t1098 () (tptp.hAPP @t1097 @t13)) % 1.32/1.59 (define @t1099 () (tptp.hAPP @t1072 @t1065)) % 1.32/1.59 (define @t1100 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (define @t1101 () (tptp.hAPP @t1100 @t1098)) % 1.32/1.59 (define @t1102 () (tptp.hAPP @t1101 @t1099)) % 1.32/1.59 (define @t1103 () (= @t1102 (tptp.hAPP (tptp.hAPP @t1100 @t1099) @t1098))) % 1.32/1.59 (define @t1104 () (or @t1060 @t1103)) % 1.32/1.59 (define @t1105 () (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex @t1044 @t12)) % 1.32/1.59 (define @t1106 () (= @t1058 @t1105)) % 1.32/1.59 (define @t1107 () (or @t1067 @t1106)) % 1.32/1.59 (define @t1108 () (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex @t1050 @t12)) % 1.32/1.59 (define @t1109 () (tptp.hAPP @t1047 @t1108)) % 1.32/1.59 (define @t1110 () (tptp.hAPP @t1109 @t1083)) % 1.32/1.59 (define @t1111 () (= @t1110 (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.hAPP @t1100 @t1050) @t1045) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t12)))) % 1.32/1.59 (define @t1112 () (not @t1029)) % 1.32/1.59 (define @t1113 () (or @t1112 @t1111)) % 1.32/1.59 (define @t1114 () (= @t19 @t813)) % 1.32/1.59 (define @t1115 () (not @t56)) % 1.32/1.59 (define @t1116 () (=> @t52 @t1114)) % 1.32/1.59 (define @t1117 () (tptp.hAPP @t1100 @t1087)) % 1.32/1.59 (define @t1118 () (tptp.hAPP @t1117 tptp.v_k____)) % 1.32/1.59 (define @t1119 () (= @t1044 @t1118)) % 1.32/1.59 (define @t1120 () (or @t1089 @t9 @t1119)) % 1.32/1.59 (define @t1121 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 @t12)) % 1.32/1.59 (define @t1122 () (= @t13 @t1121)) % 1.32/1.59 (define @t1123 () (tptp.hAPP @t1100 tptp.v_k____)) % 1.32/1.59 (define @t1124 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t1098)) % 1.32/1.59 (define @t1125 () (tptp.hAPP @t1100 @t1124)) % 1.32/1.59 (define @t1126 () (tptp.hAPP @t1125 @t1050)) % 1.32/1.59 (define @t1127 () (tptp.hAPP @t1100 @t1045)) % 1.32/1.59 (define @t1128 () (and @t11 @t14 @t1052 @t1059 @t1094 @t1066 @t1070 @t1073 @t1077 @t1081 @t1084 @t1088 @t1103 @t1106 @t1122 @t1111 @t1119)) % 1.32/1.59 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t4 (= (tptp.hAPP @t2 @t3) (tptp.hAPP @t1 @t3))) (= @t2 @t1)))) % 1.32/1.59 (assume @p2 (not @t7)) % 1.32/1.59 (assume @p3 (not @t9)) % 1.32/1.59 (assume @p4 @t11) % 1.32/1.59 (assume @p5 @t14) % 1.32/1.59 (assume @p6 (forall @t25 (=> @t24 (= (tptp.c_Polynomial_Odegree @t16 @t23) @t15)))) % 1.32/1.59 (assume @p7 @t29) % 1.32/1.59 (assume @p8 (forall @t28 (=> @t31 (= (tptp.c_Polynomial_OpCons @t16 @t30 @t18) @t18)))) % 1.32/1.59 (assume @p9 (forall @t37 (=> @t31 (= (= @t36 @t18) (and @t35 @t33))))) % 1.32/1.59 (assume @p10 (forall @t25 (=> @t42 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t19 @t41) (tptp.hAPP (tptp.hAPP @t39 @t38) @t15))))) % 1.32/1.59 (assume @p11 (forall (@list @t15 @t21 @t43 @t16) (=> @t49 (=> @t48 @t46)))) % 1.32/1.59 (assume @p12 (forall @t55 (=> @t54 (and (=> @t51 (= @t50 @t30)) @t53)))) % 1.32/1.59 (assume @p13 (forall @t55 (=> @t56 @t53))) % 1.32/1.59 (assume @p14 (forall @t61 (=> @t56 (=> (not @t60) (= (= @t59 @t19) @t58))))) % 1.32/1.59 (assume @p15 (forall @t69 (=> @t68 (and (=> @t64 (= @t63 @t19)) (=> @t65 (= @t63 @t30)))))) % 1.32/1.59 (assume @p16 (forall @t80 (=> @t42 (= @t79 (and (=> @t77 @t76) @t72))))) % 1.32/1.59 (assume @p17 (forall @t83 (=> @t42 (= @t82 (and (=> @t77 @t81) @t72))))) % 1.32/1.59 (assume @p18 (forall @t28 (=> @t24 (= (tptp.c_Polynomial_Odegree @t16 @t26) @t12)))) % 1.32/1.59 (assume @p19 (forall @t90 (=> @t89 (= (tptp.hAPP @t40 @t88) (tptp.hAPP (tptp.hAPP @t39 @t85) @t15))))) % 1.32/1.59 (assume @p20 (forall @t55 (=> @t89 (= (tptp.hAPP @t40 @t91) @t21)))) % 1.32/1.59 (assume @p21 (forall @t55 (=> @t67 (= (tptp.hAPP @t40 @t12) @t19)))) % 1.32/1.59 (assume @p22 (forall @t28 (=> @t31 (= (tptp.c_Polynomial_Odegree @t16 @t18) @t12)))) % 1.32/1.59 (assume @p23 @t95) % 1.32/1.59 (assume @p24 (forall (@list @t96 @t57 @t32 @t34 @t16) (=> @t31 (= (= @t36 (tptp.c_Polynomial_OpCons @t16 @t57 @t96)) (and @t58 @t97))))) % 1.32/1.59 (assume @p25 (forall @t102 (=> @t101 (=> @t100 (or @t51 @t47))))) % 1.32/1.59 (assume @p26 (forall @t102 (=> @t101 (=> @t52 (=> @t48 (not @t100)))))) % 1.32/1.59 (assume @p27 (forall @t103 (=> (tptp.class_Rings_Oring__no__zero__divisors @t16) (= (= (tptp.hAPP @t74 @t57) @t30) (or @t35 @t60))))) % 1.32/1.59 (assume @p28 (forall @t55 (=> @t105 @t104))) % 1.32/1.59 (assume @p29 (forall @t55 (=> @t105 @t107))) % 1.32/1.59 (assume @p30 (forall @t28 (=> @t108 (not (= @t30 @t19))))) % 1.32/1.59 (assume @p31 (forall @t28 (=> @t108 (not (= @t19 @t30))))) % 1.32/1.59 (assume @p32 (forall @t25 (=> @t109 (=> @t52 (not (= @t41 @t30)))))) % 1.32/1.59 (assume @p33 (forall @t115 (=> (and @t67 @t105 @t101 @t108) (= (= @t114 @t30) (and @t35 @t112))))) % 1.32/1.59 (assume @p34 (forall @t55 (=> @t54 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t21 @t30) @t30)))) % 1.32/1.59 (assume @p35 (forall @t55 (=> @t56 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t30 @t21) @t30)))) % 1.32/1.59 (assume @p36 (forall @t118 (=> @t117 (= (tptp.hAPP (tptp.hAPP @t39 @t99) @t15) (tptp.hAPP @t116 @t44))))) % 1.32/1.59 (assume @p37 (forall @t25 (=> @t89 (= @t120 @t119)))) % 1.32/1.59 (assume @p38 (forall (@list @t121 @t124 @t122 @t125 @t16) (=> @t42 (= (tptp.hAPP (tptp.hAPP @t73 @t128) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t124 @t121)) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t127 (tptp.hAPP @t123 @t121)))))) % 1.32/1.59 (assume @p39 (forall @t131 (=> @t56 (= (tptp.hAPP @t98 @t130) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t99 @t129))))) % 1.32/1.59 (assume @p40 (forall @t69 (=> @t89 (= (tptp.hAPP (tptp.hAPP @t39 @t19) @t15) @t19)))) % 1.32/1.59 (assume @p41 (forall @t55 (=> @t56 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t21 @t19) @t21)))) % 1.32/1.59 (assume @p42 (forall @t118 (=> @t42 @t46))) % 1.32/1.59 (assume @p43 (forall @t136 (=> @t135 (= (tptp.hAPP @t134 @t18) @t18)))) % 1.32/1.59 (assume @p44 (forall @t138 (=> @t135 (= (tptp.hAPP (tptp.hAPP @t133 @t18) @t137) @t18)))) % 1.32/1.59 (assume @p45 (forall @t142 (=> @t56 (=> @t141 (=> (= @t139 @t43) (= @t21 @t130)))))) % 1.32/1.59 (assume @p46 (forall @t143 (=> @t56 (=> @t141 (=> (= @t43 @t139) (= @t130 @t21)))))) % 1.32/1.59 (assume @p47 (forall (@list @t145 @t149 @t148 @t144 @t16) (=> @t49 (=> @t153 (=> (not (= @t148 @t30)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t149 @t144) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t145 @t148)) (= @t151 @t147))))))) % 1.32/1.59 (assume @p48 (forall @t142 (=> @t42 (=> @t141 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t156 @t155) @t45))))) % 1.32/1.59 (assume @p49 (forall @t142 (=> @t42 (=> @t141 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t139 @t158) @t45))))) % 1.32/1.59 (assume @p50 (forall @t159 (=> @t56 (=> @t77 (= @t82 @t81))))) % 1.32/1.59 (assume @p51 (forall @t160 (=> @t56 (=> @t77 (= @t79 @t76))))) % 1.32/1.59 (assume @p52 @t166) % 1.32/1.59 (assume @p53 @t171) % 1.32/1.59 (assume @p54 (forall @t4 (not @t172))) % 1.32/1.59 (assume @p55 (forall @t28 (=> @t67 (= @t39 (tptp.c_Power_Opower_Opower @t16 @t19 @t73))))) % 1.32/1.59 (assume @p56 (=> @t7 (= (forall @t4 (=> @t172 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t8))) (or (tptp.c_Rings_Odvd__class_Odvd @t5 tptp.v_p @t175) (and @t7 (= tptp.v_q @t6)))))) % 1.32/1.59 (assume @p57 (forall (@list @t137 @t122 @t125 @t16) (=> @t24 (= (tptp.hAPP (tptp.hAPP @t39 @t179) @t137) (tptp.hAPP @t178 (tptp.hAPP @t176 @t137)))))) % 1.32/1.59 (assume @p58 (forall @t181 (=> @t180 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t30 @t122) @t30)))) % 1.32/1.59 (assume @p59 (forall @t55 (=> @t117 @t182))) % 1.32/1.59 (assume @p60 (forall @t55 (=> @t24 @t182))) % 1.32/1.59 (assume @p61 (forall @t55 (=> @t89 @t182))) % 1.32/1.59 (assume @p62 (forall @t55 (=> @t117 @t183))) % 1.32/1.59 (assume @p63 (forall @t55 (=> @t24 @t183))) % 1.32/1.59 (assume @p64 (forall @t55 (=> @t24 (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t30)))) % 1.32/1.59 (assume @p65 (forall @t55 (=> @t24 (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t21)))) % 1.32/1.59 (assume @p66 (forall @t187 (=> @t186 (= (= @t184 (tptp.c_Polynomial_Opoly @t16 @t96)) @t97)))) % 1.32/1.59 (assume @p67 (forall @t131 (=> @t24 (=> @t190 (=> @t189 @t188))))) % 1.32/1.59 (assume @p68 (forall @t55 (=> @t24 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t30 @t21) @t51)))) % 1.32/1.59 (assume @p69 (forall @t102 (=> @t24 (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t99)))) % 1.32/1.59 (assume @p70 (forall @t102 (=> @t24 (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t191)))) % 1.32/1.59 (assume @p71 (forall @t131 (=> @t24 (=> @t190 @t192)))) % 1.32/1.59 (assume @p72 (forall @t193 (=> @t24 (=> @t188 @t192)))) % 1.32/1.59 (assume @p73 (forall @t196 (=> @t24 (=> @t190 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t129 @t194) (tptp.c_Rings_Odvd__class_Odvd @t16 @t139 @t195)))))) % 1.32/1.59 (assume @p74 (forall (@list @t197 @t43 @t21 @t16) (=> @t198 (=> (= @t21 (tptp.hAPP @t157 @t197)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t43 @t21))))) % 1.32/1.59 (assume @p75 (forall @t131 (=> @t24 (=> @t199 @t188)))) % 1.32/1.59 (assume @p76 (forall @t131 (=> @t24 (=> @t199 @t189)))) % 1.32/1.59 (assume @p77 (forall @t55 (=> @t24 (tptp.c_Rings_Odvd__class_Odvd @t16 @t19 @t21)))) % 1.32/1.59 (assume @p78 (forall (@list @t15 @t122 @t125 @t16) (=> @t24 (=> @t202 (tptp.c_Rings_Odvd__class_Odvd @t16 @t201 @t200))))) % 1.32/1.59 (assume @p79 (forall @t204 (=> @t186 (= (= @t184 @t203) @t33)))) % 1.32/1.59 (assume @p80 (forall @t209 (=> @t185 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t75 @t208) @t206)))) % 1.32/1.59 (assume @p81 (forall @t160 (=> @t185 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t212 @t211) @t206)))) % 1.32/1.59 (assume @p82 (forall @t170 (=> @t135 (= (tptp.hAPP @t203 @t125) @t30)))) % 1.32/1.59 (assume @p83 (forall @t217 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t216) @t125) (tptp.hAPP (tptp.hAPP @t73 @t215) @t213))))) % 1.32/1.59 (assume @p84 (forall (@list @t125 @t15 @t132 @t16) (=> @t24 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 (tptp.hAPP (tptp.hAPP @t22 @t132) @t15)) @t125) (tptp.hAPP (tptp.hAPP @t39 @t215) @t15))))) % 1.32/1.59 (assume @p85 (forall @t170 (=> @t24 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t26) @t125) @t19)))) % 1.32/1.59 (assume @p86 (forall (@list @t34 @t219 @t218 @t16) (= (tptp.hAPP @t220 @t12) @t218))) % 1.32/1.59 (assume @p87 (forall @t222 (=> @t31 (= (= @t30 @t149) @t221)))) % 1.32/1.59 (assume @p88 @t224) % 1.32/1.59 (assume @p89 (forall @t232 (=> @t24 (= @t231 (tptp.hAPP @t229 (tptp.hAPP @t227 @t225)))))) % 1.32/1.59 (assume @p90 (forall @t232 (=> @t24 (= @t231 (tptp.hAPP @t233 @t225))))) % 1.32/1.59 (assume @p91 (forall @t131 (=> (tptp.class_Groups_Oab__semigroup__mult @t16) (= (tptp.hAPP (tptp.hAPP @t73 @t99) @t129) (tptp.hAPP @t98 @t158))))) % 1.32/1.59 (assume @p92 (forall @t238 (=> @t24 (= @t237 (tptp.hAPP @t227 (tptp.hAPP @t235 @t228)))))) % 1.32/1.59 (assume @p93 (forall @t238 (=> @t24 (= @t237 (tptp.hAPP @t233 @t234))))) % 1.32/1.59 (assume @p94 (forall @t240 (=> @t24 (= @t239 (tptp.hAPP @t227 (tptp.hAPP @t235 @t230)))))) % 1.32/1.59 (assume @p95 (forall @t240 (=> @t24 (= @t239 (tptp.hAPP @t229 (tptp.hAPP @t236 @t225)))))) % 1.32/1.59 (assume @p96 (forall @t240 (=> @t24 (= @t239 (tptp.hAPP @t233 (tptp.hAPP @t235 @t225)))))) % 1.32/1.59 (assume @p97 (forall @t222 (=> (tptp.class_Groups_Oone @t16) (= (= @t19 @t149) @t241)))) % 1.32/1.59 (assume @p98 (forall @t170 (=> @t24 (= (tptp.hAPP @t167 @t91) @t125)))) % 1.32/1.59 (assume @p99 (forall @t244 (=> @t24 (= (tptp.hAPP (tptp.hAPP @t39 @t243) @t137) (tptp.hAPP @t167 (tptp.hAPP @t242 @t137)))))) % 1.32/1.59 (assume @p100 (forall @t55 (=> @t24 @t107))) % 1.32/1.59 (assume @p101 (forall (@list @t43 @t16) (=> @t245 (= (tptp.hAPP @t106 @t43) @t30)))) % 1.32/1.59 (assume @p102 (forall @t181 (=> @t245 (= (tptp.hAPP @t106 @t122) @t30)))) % 1.32/1.59 (assume @p103 (forall @t55 (=> @t24 @t104))) % 1.32/1.59 (assume @p104 (forall @t55 (=> @t245 @t104))) % 1.32/1.59 (assume @p105 (forall @t170 (=> @t245 (= (tptp.hAPP @t126 @t30) @t30)))) % 1.32/1.59 (assume @p106 (forall @t55 (=> @t89 @t183))) % 1.32/1.59 (assume @p107 (forall (@list @t15 @t137 @t132) (=> (forall @t4 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t132) @t3) @t8) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t137) @t3) @t8))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t132) @t15) (=> @t65 (tptp.c_Rings_Odvd__class_Odvd @t5 @t132 (tptp.hAPP (tptp.hAPP @t173 @t137) @t15))))))) % 1.32/1.59 (assume @p108 (forall @t247 (=> (= @t84 @t88) (or (= @t15 @t91) @t246)))) % 1.32/1.59 (assume @p109 (forall (@list @t34 @t32 @t16) (=> @t185 (= (= (tptp.hAPP @t184 @t34) @t30) (or @t33 (not (= (tptp.c_Polynomial_Oorder @t16 @t34 @t32) @t12))))))) % 1.32/1.59 (assume @p110 (forall @t248 (= (tptp.hAPP (tptp.hAPP @t86 @t91) @t15) @t15))) % 1.32/1.59 (assume @p111 (forall @t255 (= (= @t91 @t254) @t252))) % 1.32/1.59 (assume @p112 (forall @t248 (= (tptp.hAPP @t256 @t91) @t15))) % 1.32/1.59 (assume @p113 (forall @t255 (= (= @t254 @t91) @t252))) % 1.32/1.59 (assume @p114 (forall @t264 (= (= @t263 @t262) @t260))) % 1.32/1.59 (assume @p115 (forall @t269 (= @t268 @t260))) % 1.32/1.59 (assume @p116 (forall @t269 (= @t268 (or @t258 @t259)))) % 1.32/1.59 (assume @p117 (forall @t270 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t250 @t91) @t251))) % 1.32/1.59 (assume @p118 (forall @t269 (= @t272 (or @t258 @t271)))) % 1.32/1.59 (assume @p119 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t86 @t88) @t197) (tptp.hAPP @t87 @t273)))) % 1.32/1.59 (assume @p120 (forall @t247 (= @t88 @t275))) % 1.32/1.59 (assume @p121 (forall @t248 (= (tptp.hAPP (tptp.hAPP @t86 @t12) @t15) @t12))) % 1.32/1.59 (assume @p122 (forall @t276 (= (tptp.hAPP @t87 @t12) @t12))) % 1.32/1.59 (assume @p123 (forall @t255 (= (= @t254 @t12) (or @t277 @t111)))) % 1.32/1.59 (assume @p124 (forall @t282 (=> @t185 @t281))) % 1.32/1.59 (assume @p125 (forall (@list @t125 @t132 @t15 @t16) (=> @t283 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 (tptp.hAPP (tptp.hAPP @t133 (tptp.c_Polynomial_Omonom @t16 @t19 @t15)) @t132)) @t125) (tptp.hAPP (tptp.hAPP @t73 @t201) @t215))))) % 1.32/1.59 (assume @p126 (forall (@list @t32 @t34 @t16 @t148 @t2 @t284) (=> @t291 (=> @t290 (= @t287 (tptp.hAPP @t286 @t285)))))) % 1.32/1.59 (assume @p127 (forall (@list @t32 @t70 @t16) (=> @t185 (= (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Polynomial_OpCons @t16 @t70 @t20) @t32) (= (tptp.hAPP @t184 @t292) @t30))))) % 1.32/1.59 (assume @p128 (forall @t293 (=> @t185 (= (= (tptp.hAPP @t184 @t70) @t30) (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Polynomial_OpCons @t16 @t292 @t20) @t32))))) % 1.32/1.59 (assume @p129 (forall @t293 (=> @t135 (= (= (tptp.c_Polynomial_Osynthetic__div @t16 @t32 @t70) @t18) (= @t294 @t12))))) % 1.32/1.59 (assume @p130 (forall @t204 (=> @t31 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t16 @t32) @t12) @t33)))) % 1.32/1.59 (assume @p131 (forall (@list @t32 @t34 @t2 @t148 @t16 @t284) (=> @t291 (= @t287 (tptp.hAPP @t286 (tptp.c_If @t16 (tptp.c_fequal @t32 @t289) @t148 @t285)))))) % 1.32/1.59 (assume @p132 (forall @t25 (=> @t24 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t23) @t15) @t19)))) % 1.32/1.59 (assume @p133 (forall @t295 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t125 @t125))) % 1.32/1.59 (assume @p134 (forall @t299 (=> @t298 (not (and @t297 (not @t296)))))) % 1.32/1.59 (assume @p135 (forall @t304 (=> @t298 @t303))) % 1.32/1.59 (assume @p136 (forall @t308 (=> @t307 (not (and @t306 (not @t305)))))) % 1.32/1.59 (assume @p137 (forall @t304 (=> @t298 (=> @t302 @t301)))) % 1.32/1.59 (assume @p138 (forall @t312 (=> @t307 (=> @t311 @t310)))) % 1.32/1.59 (assume @p139 (forall @t299 (=> @t298 (not (= @t122 @t125))))) % 1.32/1.59 (assume @p140 (forall @t299 (=> @t298 @t314))) % 1.32/1.59 (assume @p141 (forall @t299 (=> @t298 @t296))) % 1.32/1.59 (assume @p142 (forall @t304 (=> @t296 @t303))) % 1.32/1.59 (assume @p143 (forall @t312 (=> @t316 (=> (and @t315 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t129 @t43))) @t310)))) % 1.32/1.59 (assume @p144 (forall @t304 (=> @t296 (=> @t302 @t300)))) % 1.32/1.59 (assume @p145 (forall @t299 (=> @t296 (=> @t297 @t313)))) % 1.32/1.59 (assume @p146 (forall @t247 (=> @t319 (=> @t318 @t317)))) % 1.32/1.59 (assume @p147 (forall @t312 (=> @t305 (=> @t311 @t309)))) % 1.32/1.59 (assume @p148 (forall @t312 (=> @t316 (=> @t315 @t309)))) % 1.32/1.59 (assume @p149 (forall @t308 (=> @t305 (=> @t320 @t307)))) % 1.32/1.59 (assume @p150 (forall @t299 (=> @t296 (or @t298 @t313)))) % 1.32/1.59 (assume @p151 (forall (@list @t149 @t144) (=> @t323 (= @t322 @t321)))) % 1.32/1.59 (assume @p152 (forall @t299 (=> @t313 @t296))) % 1.32/1.59 (assume @p153 (forall @t308 (=> @t320 (=> @t305 @t307)))) % 1.32/1.59 (assume @p154 (forall @t326 (= @t325 (and @t322 @t324)))) % 1.32/1.59 (assume @p155 (forall @t326 (= @t322 (or @t325 @t321)))) % 1.32/1.59 (assume @p156 (forall @t326 (= @t321 (and @t322 @t323)))) % 1.32/1.59 (assume @p157 (forall @t282 (=> @t329 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t328) (tptp.c_Polynomial_OpCons @t16 @t279 @t327))))) % 1.32/1.59 (assume @p158 (forall (@list @t132 @t21 @t284) (=> (tptp.class_Groups_Oab__group__add @t284) (= (tptp.c_Groups_Ouminus__class_Ouminus @t288 (tptp.c_Polynomial_OpCons @t284 @t21 @t132)) (tptp.c_Polynomial_OpCons @t284 (tptp.c_Groups_Ouminus__class_Ouminus @t284 @t21) (tptp.c_Groups_Ouminus__class_Ouminus @t288 @t132)))))) % 1.32/1.59 (assume @p159 (forall (@list @t125 @t132 @t16) (=> @t330 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t327) @t125) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t215))))) % 1.32/1.59 (assume @p160 (forall (@list @t21 @t15 @t84 @t16) (=> @t31 (and (=> @t317 (= @t332 @t21)) (=> @t333 (= @t332 @t30)))))) % 1.32/1.59 (assume @p161 (forall @t25 (=> @t329 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t334) (tptp.c_Polynomial_Omonom @t16 @t279 @t15))))) % 1.32/1.59 (assume @p162 (forall @t187 (=> @t31 (= @t97 (forall (@list @t335) (= (tptp.hAPP @t336 @t335) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t96) @t335))))))) % 1.32/1.59 (assume @p163 (forall @t339 (=> @t329 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t327) @t15) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t338))))) % 1.32/1.59 (assume @p164 (forall @t340 (=> @t31 (= (= (tptp.c_Polynomial_Ocoeff @t16 @t149) (tptp.c_Polynomial_Ocoeff @t16 @t144)) @t321)))) % 1.32/1.59 (assume @p165 (forall (@list @t57 @t110 @t34 @t16) (=> @t31 (= (= @t341 (tptp.c_Polynomial_Omonom @t16 @t57 @t110)) @t58)))) % 1.32/1.59 (assume @p166 (forall @t55 (=> @t342 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t279) @t21)))) % 1.32/1.59 (assume @p167 (forall @t103 (=> @t342 (= @t345 (= @t57 @t343))))) % 1.32/1.59 (assume @p168 (forall @t103 (=> @t342 (= (= @t343 @t57) (= @t344 @t34))))) % 1.32/1.59 (assume @p169 (forall @t103 (=> @t342 (= (= @t343 @t344) @t58)))) % 1.32/1.59 (assume @p170 (forall @t28 (=> @t342 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t30) @t30)))) % 1.32/1.59 (assume @p171 (forall @t346 (=> @t342 (= (= @t30 @t343) (= @t30 @t34))))) % 1.32/1.59 (assume @p172 (forall @t346 (=> @t347 (= (= @t34 @t343) @t35)))) % 1.32/1.59 (assume @p173 (forall @t346 (=> @t342 (= (= @t343 @t30) @t35)))) % 1.32/1.59 (assume @p174 (forall @t346 (=> @t347 (= (= @t343 @t34) @t35)))) % 1.32/1.59 (assume @p175 (forall @t102 (=> @t245 (= @t350 @t348)))) % 1.32/1.59 (assume @p176 (forall (@list @t125 @t351 @t16) (=> @t245 (= (tptp.hAPP @t352 @t354) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t353))))) % 1.32/1.59 (assume @p177 (forall @t102 (=> @t245 (= @t356 @t348)))) % 1.32/1.59 (assume @p178 (forall @t357 (=> @t245 (= (tptp.hAPP (tptp.hAPP @t73 @t354) @t122) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t179))))) % 1.32/1.59 (assume @p179 (forall @t102 (=> @t358 (= @t348 @t350)))) % 1.32/1.59 (assume @p180 (forall @t102 (=> @t358 (= @t348 @t356)))) % 1.32/1.59 (assume @p181 (forall @t102 (=> @t358 (= @t356 @t350)))) % 1.32/1.59 (assume @p182 (forall @t102 (=> @t358 (= (tptp.hAPP @t355 @t349) @t99)))) % 1.32/1.59 (assume @p183 (forall @t103 (=> @t185 (= (= (tptp.hAPP @t74 @t34) (tptp.hAPP @t207 @t57)) (or @t58 @t345))))) % 1.32/1.59 (assume @p184 (forall @t340 (=> @t283 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t149 @t360) @t359)))) % 1.32/1.59 (assume @p185 (forall @t340 (=> @t283 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t361 @t144) @t359)))) % 1.32/1.59 (assume @p186 (forall @t357 (=> @t180 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t354 @t122) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t128))))) % 1.32/1.59 (assume @p187 (forall @t102 (=> @t42 @t363))) % 1.32/1.59 (assume @p188 (forall @t102 (=> @t56 (= @t362 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t279 @t43))))) % 1.32/1.59 (assume @p189 (forall @t102 (=> @t42 @t364))) % 1.32/1.59 (assume @p190 (forall @t28 (=> @t329 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t18) @t18)))) % 1.32/1.59 (assume @p191 (forall @t136 (=> @t329 (= (tptp.c_Polynomial_Odegree @t16 @t327) @t365)))) % 1.32/1.59 (assume @p192 (forall @t170 (=> @t283 (= @t354 (tptp.hAPP (tptp.hAPP @t73 @t366) @t125))))) % 1.32/1.59 (assume @p193 (forall @t222 (=> @t109 (= (= @t367 @t19) (or @t241 (= @t149 @t366)))))) % 1.32/1.59 (assume @p194 (forall @t368 (=> @t56 (=> @t48 @t363)))) % 1.32/1.59 (assume @p195 (forall @t368 (=> @t56 (=> @t48 @t364)))) % 1.32/1.59 (assume @p196 (forall @t69 (=> @t31 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t18) @t15) @t30)))) % 1.32/1.59 (assume @p197 @t372) % 1.32/1.59 (assume @p198 (forall (@list @t129 @t16) (=> @t135 (= (tptp.c_Polynomial_Osynthetic__div @t16 @t18 @t129) @t18)))) % 1.32/1.59 (assume @p199 (forall @t378 (=> @t185 (=> (= @t377 @t376) (=> @t373 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t137 @t132) (= @t132 @t137))))))) % 1.32/1.59 (assume @p200 (forall @t69 (=> @t31 (= (tptp.c_Polynomial_Omonom @t16 @t30 @t15) @t18)))) % 1.32/1.59 (assume @p201 (forall @t115 (=> @t31 (= (= @t341 @t18) @t35)))) % 1.32/1.59 (assume @p202 (forall @t25 (=> @t31 (=> @t52 (= (tptp.c_Polynomial_Odegree @t16 @t334) @t15))))) % 1.32/1.59 (assume @p203 (forall @t25 (=> @t380 (= @t379 (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP (tptp.hAPP @t39 @t366) @t15)) @t41))))) % 1.32/1.59 (assume @p204 (forall @t204 (=> @t31 (= (= @t381 @t30) @t33)))) % 1.32/1.59 (assume @p205 (forall @t136 (=> @t31 (=> @t383 (not (= @t377 @t30)))))) % 1.32/1.59 (assume @p206 (forall (@list @t125 @t15 @t21 @t16) (=> @t24 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t334) @t125) (tptp.hAPP @t98 @t201))))) % 1.32/1.59 (assume @p207 @t386) % 1.32/1.59 (assume @p208 (forall (@list @t129 @t132 @t21 @t16) (=> @t135 (= (tptp.c_Polynomial_Osynthetic__div @t16 @t328 @t129) @t389)))) % 1.32/1.59 (assume @p209 (forall (@list @t16 @t148 @t2 @t284) (=> @t291 (=> @t290 (= (tptp.c_Polynomial_Opoly__rec @t16 @t284 @t148 @t2 @t289) @t148))))) % 1.32/1.59 (assume @p210 (forall @t69 (=> @t24 (and (=> @t64 (= @t390 @t19)) (=> @t65 (= @t390 @t30)))))) % 1.32/1.59 (assume @p211 (forall @t392 (=> @t185 (=> @t383 @t391)))) % 1.32/1.59 (assume @p212 (forall @t392 (=> @t185 (=> @t383 (and @t281 @t391))))) % 1.32/1.59 (assume @p213 (forall (@list @t132 @t129 @t16) (=> @t283 (= (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP (tptp.hAPP @t133 (tptp.c_Polynomial_OpCons @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t129) @t20)) @t387) (tptp.c_Polynomial_OpCons @t16 @t388 @t18)) @t132)))) % 1.32/1.59 (assume @p214 (forall @t295 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t91 @t125))) % 1.32/1.59 (assume @p215 (forall @t394 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t393 @t21) @t15) (tptp.hAPP (tptp.hAPP @t393 @t43) @t15)) (=> @t65 @t305)))) % 1.32/1.59 (assume @p216 (forall @t395 (=> @t112 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t393 @t34) @t110) (tptp.hAPP (tptp.hAPP @t393 @t57) @t110)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t34 @t57))))) % 1.32/1.59 (assume @p217 (forall @t295 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t125 @t12))) % 1.32/1.59 (assume @p218 (forall @t357 (=> @t49 (and (=> @t400 (= @t397 @t30)) (=> @t401 (= @t397 @t19)))))) % 1.32/1.59 (assume @p219 (forall @t136 (=> @t31 (and (=> @t382 (= @t403 @t12)) (=> @t383 (= @t403 @t402)))))) % 1.32/1.59 (assume @p220 (forall @t357 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t17 @t396 @t122)))) % 1.32/1.59 (assume @p221 (forall @t357 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t17 @t396 @t125)))) % 1.32/1.59 (assume @p222 (forall (@list @t197) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t404 @t197))) % 1.32/1.59 (assume @p223 (forall @t357 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t125 @t405) @t396)))) % 1.32/1.59 (assume @p224 (forall @t357 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t406 @t122) @t396)))) % 1.32/1.59 (assume @p225 (forall @t410 (=> @t409 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t408) @t15) (tptp.c_Groups_Oplus__class_Oplus @t16 @t338 @t407))))) % 1.32/1.59 (assume @p226 (forall @t413 (=> @t409 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t334 @t412) (tptp.c_Polynomial_Omonom @t16 @t411 @t15))))) % 1.32/1.59 (assume @p227 (forall @t417 (=> @t416 (=> (= @t415 @t414) @t311)))) % 1.32/1.59 (assume @p228 (forall @t131 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t16) @t419))) % 1.32/1.59 (assume @p229 (forall @t131 (=> @t416 @t419))) % 1.32/1.59 (assume @p230 (forall @t196 (=> @t24 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t411 @t421) (tptp.c_Groups_Oplus__class_Oplus @t16 @t418 @t420))))) % 1.32/1.59 (assume @p231 (forall (@list @t70 @t34 @t57 @t16) (=> @t416 (= (= @t424 @t423) @t422)))) % 1.32/1.59 (assume @p232 (forall @t80 (=> @t416 (= (= @t426 @t425) @t422)))) % 1.32/1.59 (assume @p233 (forall @t131 (=> @t24 (= @t427 (tptp.c_Groups_Oplus__class_Oplus @t16 @t418 @t43))))) % 1.32/1.59 (assume @p234 (forall @t131 (=> (tptp.class_Groups_Oab__semigroup__add @t16) @t429))) % 1.32/1.59 (assume @p235 (forall @t131 (=> @t24 @t429))) % 1.32/1.59 (assume @p236 (forall @t431 (=> @t24 (= @t430 (tptp.c_Groups_Oplus__class_Oplus @t16 @t418 @t194))))) % 1.32/1.59 (assume @p237 (forall @t431 (=> @t24 (= @t430 (tptp.c_Groups_Oplus__class_Oplus @t16 @t129 (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t194)))))) % 1.32/1.59 (assume @p238 (forall (@list @t129 @t21 @t16) (=> @t24 (= @t418 @t414)))) % 1.32/1.59 (assume @p239 (forall @t131 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t433 @t129) @t432)))) % 1.32/1.59 (assume @p240 (forall @t417 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t43 (tptp.c_Polynomial_Opoly__gcd @t16 @t21 @t129)) @t432)))) % 1.32/1.59 (assume @p241 (forall @t102 (=> @t49 (= @t433 (tptp.c_Polynomial_Opoly__gcd @t16 @t43 @t21))))) % 1.32/1.59 (assume @p242 (forall @t217 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t408) @t125) (tptp.c_Groups_Oplus__class_Oplus @t16 @t215 @t213))))) % 1.32/1.59 (assume @p243 (forall @t435 (=> @t409 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t328 @t434) (tptp.c_Polynomial_OpCons @t16 @t411 @t408))))) % 1.32/1.59 (assume @p244 (forall @t299 (=> (= (tptp.c_Nat_OSuc @t125) (tptp.c_Nat_OSuc @t122)) @t313))) % 1.32/1.59 (assume @p245 (forall (@list @t436 @t437) (= (= (tptp.c_Nat_OSuc @t437) (tptp.c_Nat_OSuc @t436)) (= @t437 @t436)))) % 1.32/1.59 (assume @p246 (forall @t248 (not (= @t438 @t15)))) % 1.32/1.59 (assume @p247 (forall @t248 (not (= @t15 @t438)))) % 1.32/1.59 (assume @p248 (forall @t61 (=> @t439 (= (= @t57 @t424) @t35)))) % 1.32/1.59 (assume @p249 (forall @t55 (=> @t409 @t440))) % 1.32/1.59 (assume @p250 (forall @t55 (=> @t24 @t440))) % 1.32/1.59 (assume @p251 (forall @t55 (=> @t441 @t440))) % 1.32/1.59 (assume @p252 (forall @t346 (=> @t347 (= (= @t30 @t442) @t35)))) % 1.32/1.59 (assume @p253 (forall @t55 (=> @t409 @t443))) % 1.32/1.59 (assume @p254 (forall @t55 (=> @t24 @t443))) % 1.32/1.59 (assume @p255 (forall @t55 (=> @t441 @t443))) % 1.32/1.59 (assume @p256 (forall (@list @t129 @t43 @t444 @t21 @t16) (=> (tptp.class_Rings_Osemiring @t16) (= (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t98 @t444) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t157 @t444) @t129)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t445 @t444) @t129))))) % 1.32/1.59 (assume @p257 (forall @t131 (=> (tptp.class_Rings_Ocomm__semiring @t16) @t446))) % 1.32/1.59 (assume @p258 (forall (@list @t148 @t149 @t144 @t145 @t16) (=> @t439 (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t147 @t151) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t146 @t148) (tptp.hAPP @t150 @t144))) (or (= @t145 @t149) (= @t144 @t148)))))) % 1.32/1.59 (assume @p259 (forall (@list @t43 @t84 @t21 @t16) (=> @t24 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t447 (tptp.hAPP @t157 @t84)) (tptp.hAPP @t445 @t84))))) % 1.32/1.59 (assume @p260 (forall @t452 (=> @t245 (= (tptp.hAPP (tptp.hAPP @t73 @t451) @t448) (tptp.c_Groups_Oplus__class_Oplus @t16 @t450 @t449))))) % 1.32/1.59 (assume @p261 (forall @t456 (=> @t245 (= (tptp.hAPP (tptp.hAPP @t73 (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t453)) @t43) (tptp.c_Groups_Oplus__class_Oplus @t16 @t99 @t455))))) % 1.32/1.59 (assume @p262 (forall @t131 (=> @t24 @t446))) % 1.32/1.59 (assume @p263 (forall @t460 (=> @t439 (= (and (not @t58) (not @t459)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t75 (tptp.hAPP @t207 @t457)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t458 @t208))))))) % 1.32/1.59 (assume @p264 (forall @t462 (=> @t245 (= (tptp.hAPP @t352 @t451) (tptp.c_Groups_Oplus__class_Oplus @t16 @t353 @t461))))) % 1.32/1.59 (assume @p265 (forall @t463 (=> @t24 (= (tptp.hAPP @t126 (tptp.c_Groups_Oplus__class_Oplus @t16 @t122 @t124)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t179 @t127))))) % 1.32/1.59 (assume @p266 (forall @t466 (=> @t245 (= (tptp.hAPP @t98 (tptp.c_Groups_Oplus__class_Oplus @t16 @t43 @t464)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t99 @t465))))) % 1.32/1.59 (assume @p267 (forall @t102 (=> @t342 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t279 @t411) @t43)))) % 1.32/1.59 (assume @p268 (forall @t102 (=> @t342 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 (tptp.c_Groups_Oplus__class_Oplus @t16 @t279 @t43)) @t43)))) % 1.32/1.59 (assume @p269 (forall @t102 (=> @t342 (= @t467 (tptp.c_Groups_Oplus__class_Oplus @t16 @t349 @t279))))) % 1.32/1.59 (assume @p270 (forall @t102 (=> @t329 (= @t467 (tptp.c_Groups_Oplus__class_Oplus @t16 @t279 @t349))))) % 1.32/1.59 (assume @p271 (forall @t131 (=> @t24 (=> @t190 (=> @t188 (tptp.c_Rings_Odvd__class_Odvd @t16 @t21 @t428)))))) % 1.32/1.59 (assume @p272 (forall @t276 (not (= @t12 @t468)))) % 1.32/1.59 (assume @p273 (forall (@list @t469) (not (= @t12 (tptp.c_Nat_OSuc @t469))))) % 1.32/1.59 (assume @p274 (forall @t276 (not (= @t468 @t12)))) % 1.32/1.59 (assume @p275 (forall (@list @t470) (not (= (tptp.c_Nat_OSuc @t470) @t12)))) % 1.32/1.59 (assume @p276 (forall @t248 (= (tptp.hAPP (tptp.hAPP @t393 @t404) @t15) @t404))) % 1.32/1.59 (assume @p277 (forall (@list @t250 @t149) (= (= (tptp.hAPP @t471 @t250) @t404) (or @t277 (= @t149 @t404))))) % 1.32/1.59 (assume @p278 (forall @t131 (=> @t56 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t411 @t129) (tptp.c_Groups_Oplus__class_Oplus @t16 @t472 @t130))))) % 1.32/1.59 (assume @p279 (forall @t452 (=> @t180 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t451 @t448) (tptp.c_Groups_Oplus__class_Oplus @t16 @t474 @t473))))) % 1.32/1.59 (assume @p280 (forall @t269 (= (= @t477 @t476) @t259))) % 1.32/1.59 (assume @p281 (forall @t136 (=> @t409 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t132 @t18) @t132)))) % 1.32/1.59 (assume @p282 (forall @t138 (=> @t409 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t18 @t137) @t137)))) % 1.32/1.59 (assume @p283 (forall (@list @t478 @t137 @t132 @t16) (=> @t135 (= (tptp.hAPP (tptp.hAPP @t133 @t408) @t478) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP @t134 @t478) (tptp.hAPP @t479 @t478)))))) % 1.32/1.59 (assume @p284 (forall @t340 (=> @t49 (= (= @t481 @t18) (and (= @t149 @t18) @t480))))) % 1.32/1.59 (assume @p285 (forall @t28 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t18 @t18) @t18)))) % 1.32/1.59 (assume @p286 (forall (@list @t122 @t125 @t197 @t16) (=> @t49 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t197 @t125) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t197 @t122) (tptp.c_Rings_Odvd__class_Odvd @t17 @t197 @t396)))))) % 1.32/1.59 (assume @p287 (forall (@list @t144 @t149 @t257 @t16) (=> @t49 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t257 @t481) (and (tptp.c_Rings_Odvd__class_Odvd @t17 @t257 @t149) (tptp.c_Rings_Odvd__class_Odvd @t17 @t257 @t144)))))) % 1.32/1.59 (assume @p288 (forall (@list @t110 @t34 @t219 @t218 @t16) (= (tptp.hAPP @t220 @t482) (tptp.hAPP (tptp.hAPP @t219 @t34) (tptp.hAPP @t220 @t110))))) % 1.32/1.59 (assume @p289 (forall @t181 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t26 @t122) @t26)))) % 1.32/1.59 (assume @p290 (forall @t170 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t125 @t26) @t26)))) % 1.32/1.59 (assume @p291 (forall (@list @t194 @t129 @t43 @t21 @t478 @t16) (=> @t439 (=> (not (= @t478 @t30)) (=> (and @t316 (not (= @t129 @t194))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 (tptp.hAPP @t483 @t129)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t43 (tptp.hAPP @t483 @t194))))))))) % 1.32/1.59 (assume @p292 (forall @t55 (=> @t342 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 @t279) @t30)))) % 1.32/1.59 (assume @p293 (forall @t103 (=> @t342 (= @t345 (= @t426 @t30))))) % 1.32/1.59 (assume @p294 (forall @t55 (=> @t342 @t484))) % 1.32/1.59 (assume @p295 (forall @t55 (=> @t329 @t484))) % 1.32/1.59 (assume @p296 (forall @t102 (=> @t342 (=> (= @t411 @t30) (= @t279 @t43))))) % 1.32/1.59 (assume @p297 (forall (@list @t84 @t21 @t16) (=> @t24 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t447 @t84) @t486)))) % 1.32/1.59 (assume @p298 (forall (@list @t21 @t84 @t16) (=> @t24 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t84 @t447) @t486)))) % 1.32/1.59 (assume @p299 (forall (@list @t84 @t16) (=> @t24 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t84 @t84) (tptp.hAPP (tptp.hAPP @t73 @t487) @t84))))) % 1.32/1.59 (assume @p300 (forall @t69 (=> @t68 (= (tptp.hAPP @t62 @t438) @t30)))) % 1.32/1.59 (assume @p301 (forall @t25 (=> @t89 (= @t488 @t120)))) % 1.32/1.59 (assume @p302 (forall @t25 (=> @t67 (= @t488 @t119)))) % 1.32/1.59 (assume @p303 (forall @t490 (=> @t24 (= (tptp.hAPP @t178 @t125) @t489)))) % 1.32/1.59 (assume @p304 (forall @t490 (=> @t24 (= @t491 @t489)))) % 1.32/1.59 (assume @p305 (forall @t490 (=> @t24 (= @t489 @t491)))) % 1.32/1.59 (assume @p306 (forall @t270 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t250 @t404) @t492))) % 1.32/1.59 (assume @p307 (forall @t255 (= (= @t254 @t404) (and @t492 @t493)))) % 1.32/1.59 (assume @p308 (= @t91 @t404)) % 1.32/1.59 (assume @p309 (forall @t494 (=> @t31 (= (tptp.hAPP @t369 @t438) @t338)))) % 1.32/1.59 (assume @p310 (forall @t500 (=> @t49 (=> @t499 (=> @t498 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t497) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t127 @t496) @t495))))))) % 1.32/1.59 (assume @p311 (forall @t505 (=> @t49 (=> @t498 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t504 @t122) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t503 @t124)))))) % 1.32/1.59 (assume @p312 (forall @t507 (=> @t42 (=> @t499 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t124) @t506))))) % 1.32/1.59 (assume @p313 (forall @t505 (=> @t49 (=> @t498 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t125 @t509) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t508 @t122) @t124)))))) % 1.32/1.59 (assume @p314 (forall @t510 (=> @t42 (=> @t499 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t124 @t128) @t506))))) % 1.32/1.59 (assume @p315 (forall @t511 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t328) @t125) (tptp.c_Groups_Oplus__class_Oplus @t16 @t21 (tptp.hAPP @t126 @t215)))))) % 1.32/1.59 (assume @p316 (forall @t395 (=> @t112 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t512 @t34) @t110) (tptp.hAPP (tptp.hAPP @t512 @t57) @t110)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t34 @t57))))) % 1.32/1.59 (assume @p317 (forall @t394 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t512 @t21) @t15) (tptp.hAPP (tptp.hAPP @t512 @t43) @t15)) (=> @t65 @t513)))) % 1.32/1.59 (assume @p318 (forall @t392 (=> @t31 @t515))) % 1.32/1.59 (assume @p319 (forall @t25 (=> @t31 (= (tptp.c_Polynomial_Omonom @t16 @t21 @t438) (tptp.c_Polynomial_OpCons @t16 @t30 @t334))))) % 1.32/1.59 (assume @p320 (forall @t392 (=> @t31 (and (=> @t382 (= @t514 @t12)) @t515)))) % 1.32/1.59 (assume @p321 (forall @t340 (=> @t185 (= (= (tptp.hAPP (tptp.hAPP @t39 @t149) @t516) (tptp.hAPP (tptp.hAPP @t39 @t144) @t516)) (or @t321 (= @t149 @t360)))))) % 1.32/1.59 (assume @p322 (forall (@list @t518 @t517 @t16) (=> (and @t198 @t66) (= (exists @t4 (tptp.hBOOL (tptp.hAPP @t517 (tptp.hAPP (tptp.hAPP @t73 @t518) @t3)))) (exists @t4 (and (tptp.c_Rings_Odvd__class_Odvd @t16 @t518 (tptp.c_Groups_Oplus__class_Oplus @t16 @t3 @t30)) (tptp.hBOOL (tptp.hAPP @t517 @t3)))))))) % 1.32/1.59 (assume @p323 (forall @t520 (=> @t135 (= (tptp.c_Polynomial_Opcompose @t16 @t328 @t137) (tptp.c_Groups_Oplus__class_Oplus @t17 @t92 (tptp.hAPP @t479 @t519)))))) % 1.32/1.59 (assume @p324 (forall @t340 (=> @t342 (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t149 @t144) @t30) (= @t144 @t361))))) % 1.32/1.59 (assume @p325 (forall @t340 (=> @t523 (= (= @t522 @t30) @t521)))) % 1.32/1.59 (assume @p326 (forall (@list @t122 @t125 @t194 @t16) (=> @t49 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t194 @t125) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t194 @t122) (=> (forall @t164 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t161 @t125) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t161 @t122) (tptp.c_Rings_Odvd__class_Odvd @t17 @t161 @t194)))) (=> (and (=> @t400 (= @t524 @t30)) (=> @t401 (= @t524 @t19))) (= @t396 @t194)))))))) % 1.32/1.59 (assume @p327 (forall @t527 (= @t526 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t457) @t525)))) % 1.32/1.59 (assume @p328 (forall @t527 (= @t526 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t457 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t525))))) % 1.32/1.59 (assume @p329 (forall (@list @t525 @t250 @t257) (=> (not (= @t257 @t531)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t250 @t525) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t530 (tptp.hAPP @t529 @t525)))))) % 1.32/1.59 (assume @p330 (forall @t247 (=> (= @t532 @t84) @t64))) % 1.32/1.59 (assume @p331 (forall @t255 (= (= @t533 @t12) (and @t277 @t111)))) % 1.32/1.59 (assume @p332 @t535) % 1.32/1.59 (assume @p333 (forall @t248 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t15) @t15))) % 1.32/1.59 (assume @p334 (forall @t247 (= @t537 @t536))) % 1.32/1.59 (assume @p335 (forall @t247 (= @t538 @t536))) % 1.32/1.59 (assume @p336 (forall @t247 (= @t538 @t537))) % 1.32/1.59 (assume @p337 (forall (@list @t110 @t257) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t257 @t539) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t257 @t110)))) % 1.32/1.59 (assume @p338 (forall @t543 (= (tptp.hAPP @t540 @t532) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t541)))) % 1.32/1.59 (assume @p339 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t86 @t532) @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t544 @t273)))) % 1.32/1.59 (assume @p340 (forall (@list @t197 @t546 @t545 @t547) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t550 @t545) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t549 @t545) @t197)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t86 @t548) @t545) @t197)))) % 1.32/1.59 (assume @p341 (forall @t248 (= @t438 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t91)))) % 1.32/1.59 (assume @p342 (forall @t248 (= @t438 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t91 @t15)))) % 1.32/1.59 (assume @p343 (forall @t244 (=> @t24 (= (tptp.hAPP (tptp.hAPP @t73 @t243) @t177) (tptp.hAPP @t167 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t132 @t137)))))) % 1.32/1.59 (assume @p344 (forall @t90 (=> @t89 (= (tptp.hAPP @t40 @t532) (tptp.hAPP (tptp.hAPP @t73 @t85) @t41))))) % 1.32/1.59 (assume @p345 (forall @t255 (= (= @t533 @t404) @t551))) % 1.32/1.59 (assume @p346 (forall @t255 (= (= @t404 @t533) @t551))) % 1.32/1.59 (assume @p347 (forall @t247 (= (tptp.hAPP @t87 @t438) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t88)))) % 1.32/1.59 (assume @p348 (forall @t247 (= (tptp.hAPP (tptp.hAPP @t86 @t468) @t15) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t88)))) % 1.32/1.59 (assume @p349 (forall @t138 (=> @t135 (= (tptp.c_Polynomial_Opcompose @t16 @t18 @t137) @t18)))) % 1.32/1.59 (assume @p350 (forall @t217 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t519) @t125) (tptp.hAPP @t214 @t213))))) % 1.32/1.59 (assume @p351 (forall @t378 (=> @t185 (=> @t383 (=> (not (= @t137 @t18)) (= (tptp.c_Polynomial_Odegree @t16 @t216) @t552)))))) % 1.32/1.59 (assume @p352 @t554) % 1.32/1.59 (assume @p353 (forall @t378 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t216) @t552) (tptp.hAPP (tptp.hAPP @t73 @t377) @t376))))) % 1.32/1.59 (assume @p354 (forall @t304 (= (tptp.hAPP (tptp.hAPP @t512 @t556) @t124) (tptp.hAPP @t555 (tptp.hAPP (tptp.hAPP @t86 @t122) @t124))))) % 1.32/1.59 (assume @p355 (forall @t346 (=> @t347 (= (= @t442 @t30) @t35)))) % 1.32/1.59 (assume @p356 (forall @t557 (=> @t135 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t132 (tptp.c_Polynomial_Osmult @t16 @t129 @t387)) @t389)))) % 1.32/1.59 (assume @p357 (forall (@list @t478 @t137 @t129 @t132 @t16) (=> @t135 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t132 (tptp.c_Polynomial_Osmult @t16 @t129 @t137)) (tptp.c_Polynomial_OpCons @t16 @t478 @t137)) (and (= @t478 @t388) (= @t137 @t387)))))) % 1.32/1.59 (assume @p358 (forall @t357 (=> @t283 (= (tptp.c_Groups_Ominus__class_Ominus @t16 (tptp.hAPP @t167 @t516) (tptp.hAPP @t176 @t516)) (tptp.hAPP @t559 @t451))))) % 1.32/1.59 (assume @p359 (forall @t562 (=> @t135 (= (tptp.hAPP @t134 (tptp.c_Polynomial_OpCons @t16 @t21 @t137)) (tptp.c_Groups_Oplus__class_Oplus @t17 @t561 @t560))))) % 1.32/1.59 (assume @p360 (forall @t564 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t563 @t124) @t531))) % 1.32/1.59 (assume @p361 (forall @t568 (= @t567 @t565))) % 1.32/1.59 (assume @p362 (forall @t568 (= @t565 @t567))) % 1.32/1.59 (assume @p363 (forall @t568 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t569) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t563 @t566)))) % 1.32/1.59 (assume @p364 (forall @t564 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t570 @t124) @t124) @t531)))) % 1.32/1.59 (assume @p365 (forall @t577 (= (tptp.hAPP @t572 @t576) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t575 @t573)))) % 1.32/1.59 (assume @p366 (forall @t582 (= (tptp.hAPP (tptp.hAPP @t528 @t576) @t121) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t581 @t579)))) % 1.32/1.59 (assume @p367 (forall @t564 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t531) @t124))) % 1.32/1.59 (assume @p368 (forall @t564 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t531 @t124) @t124))) % 1.32/1.59 (assume @p369 (forall (@list @t15 @t197 @t84) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t197) @t584) @t583))) % 1.32/1.59 (assume @p370 (forall @t543 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t84) @t585) @t583))) % 1.32/1.59 (assume @p371 (forall @t264 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t250 @t257) @t539) @t259))) % 1.32/1.59 (assume @p372 (forall @t269 (= (= @t587 @t586) @t259))) % 1.32/1.59 (assume @p373 (forall @t590 (= @t589 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t547 @t588)))) % 1.32/1.59 (assume @p374 (forall @t274 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t532 @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t584)))) % 1.32/1.59 (assume @p375 (forall @t592 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t591 @t15) @t84))) % 1.32/1.59 (assume @p376 (forall @t247 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t532 @t15) @t84))) % 1.32/1.59 (assume @p377 (forall @t304 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t125 @t593) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t125 @t124))))) % 1.32/1.59 (assume @p378 (forall @t247 (= @t532 @t591))) % 1.32/1.59 (assume @p379 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t197 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t84 @t15)) @t594))) % 1.32/1.59 (assume @p380 (forall @t410 (=> @t329 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t595) @t15) (tptp.c_Groups_Ominus__class_Ominus @t16 @t338 @t407))))) % 1.32/1.59 (assume @p381 (forall @t413 (=> @t329 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t334 @t412) (tptp.c_Polynomial_Omonom @t16 @t596 @t15))))) % 1.32/1.59 (assume @p382 (not (= @t531 @t570))) % 1.32/1.59 (assume @p383 (forall @t564 (= (tptp.hAPP (tptp.hAPP @t528 @t570) @t124) @t124))) % 1.32/1.59 (assume @p384 (forall @t564 (= (tptp.hAPP @t597 @t570) @t124))) % 1.32/1.59 (assume @p385 (forall @t568 (= @t598 (tptp.hAPP @t572 @t124)))) % 1.32/1.59 (assume @p386 (forall @t577 (= (tptp.hAPP @t572 @t599) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t575 @t573)))) % 1.32/1.59 (assume @p387 (forall @t601 (= (tptp.hAPP (tptp.hAPP @t528 (tptp.hAPP @t580 @t571)) @t600) (tptp.hAPP @t580 (tptp.hAPP @t578 @t600))))) % 1.32/1.59 (assume @p388 (forall @t582 (= (tptp.hAPP (tptp.hAPP @t528 @t599) @t121) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t581 @t579)))) % 1.32/1.59 (assume @p389 (forall @t460 (=> @t329 (=> @t603 (= @t58 @t459))))) % 1.32/1.59 (assume @p390 (forall @t605 (=> @t330 (= (tptp.c_Polynomial_Osmult @t16 @t596 @t132) (tptp.c_Groups_Ominus__class_Ominus @t17 @t561 @t604))))) % 1.32/1.59 (assume @p391 (forall @t520 (=> @t330 (= (tptp.c_Polynomial_Osmult @t16 @t21 @t595) (tptp.c_Groups_Ominus__class_Ominus @t17 @t561 @t606))))) % 1.32/1.59 (assume @p392 (forall @t217 (=> @t330 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t595) @t125) (tptp.c_Groups_Ominus__class_Ominus @t16 @t215 @t213))))) % 1.32/1.59 (assume @p393 (forall @t435 (=> @t329 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t328 @t434) (tptp.c_Polynomial_OpCons @t16 @t596 @t595))))) % 1.32/1.59 (assume @p394 (forall @t568 (= (tptp.hAPP (tptp.hAPP @t528 @t563) @t121) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t598)))) % 1.32/1.59 (assume @p395 (forall @t564 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t563) @t124))) % 1.32/1.59 (assume @p396 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t531) @t531)) % 1.32/1.59 (assume @p397 (forall @t103 (=> @t342 (= @t607 @t58)))) % 1.32/1.59 (assume @p398 (forall @t103 (=> @t329 (= @t58 @t607)))) % 1.32/1.59 (assume @p399 (forall @t55 (=> @t342 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t21) @t30)))) % 1.32/1.59 (assume @p400 (forall @t55 (=> @t342 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t30) @t21)))) % 1.32/1.59 (assume @p401 (forall @t452 (=> @t245 (= (tptp.hAPP @t559 @t448) (tptp.c_Groups_Ominus__class_Ominus @t16 @t450 @t449))))) % 1.32/1.59 (assume @p402 (forall @t456 (=> @t245 (= (tptp.hAPP (tptp.hAPP @t73 (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t453)) @t43) (tptp.c_Groups_Ominus__class_Ominus @t16 @t99 @t455))))) % 1.32/1.59 (assume @p403 (forall @t462 (=> @t245 (= (tptp.hAPP @t352 @t558) (tptp.c_Groups_Ominus__class_Ominus @t16 @t353 @t461))))) % 1.32/1.59 (assume @p404 (forall @t466 (=> @t245 (= (tptp.hAPP @t98 (tptp.c_Groups_Ominus__class_Ominus @t16 @t43 @t464)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t99 @t465))))) % 1.32/1.59 (assume @p405 (forall @t102 (=> @t342 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t411 @t43) @t21)))) % 1.32/1.59 (assume @p406 (forall @t102 (=> @t342 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t596 @t43) @t21)))) % 1.32/1.59 (assume @p407 (forall @t102 (=> @t329 (= @t609 @t608)))) % 1.32/1.59 (assume @p408 (forall @t463 (=> @t283 (=> @t202 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t125 @t124) (tptp.c_Rings_Odvd__class_Odvd @t16 @t125 (tptp.c_Groups_Ominus__class_Ominus @t16 @t122 @t124))))))) % 1.32/1.59 (assume @p409 (forall @t605 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t21 @t604) (tptp.c_Polynomial_Osmult @t16 @t99 @t132))))) % 1.32/1.59 (assume @p410 (forall @t131 (=> @t56 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t596 @t129) (tptp.c_Groups_Ominus__class_Ominus @t16 @t472 @t130))))) % 1.32/1.59 (assume @p411 (forall @t452 (=> @t180 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t558 @t448) (tptp.c_Groups_Ominus__class_Ominus @t16 @t474 @t473))))) % 1.32/1.59 (assume @p412 (forall @t136 (=> @t24 (= (tptp.c_Polynomial_Osmult @t16 @t19 @t132) @t132)))) % 1.32/1.59 (assume @p413 (forall @t248 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t12 @t15) @t12))) % 1.32/1.59 (assume @p414 (forall @t276 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t12) @t84))) % 1.32/1.59 (assume @p415 (forall @t276 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t84) @t12))) % 1.32/1.59 (assume @p416 (forall @t247 (=> (= @t583 @t12) (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t84) @t12) @t317)))) % 1.32/1.59 (assume @p417 (forall @t592 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t591) @t12))) % 1.32/1.59 (assume @p418 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t468 @t15) (tptp.c_Nat_OSuc @t197)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t583 @t197)))) % 1.32/1.59 (assume @p419 (forall @t247 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t468 @t438) @t583))) % 1.32/1.59 (assume @p420 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t197 @t84) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t197 @t15) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t197 @t583))))) % 1.32/1.59 (assume @p421 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t86 @t583) @t197) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t544 @t273)))) % 1.32/1.59 (assume @p422 (forall @t543 (= (tptp.hAPP @t540 @t583) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t542 @t541)))) % 1.32/1.59 (assume @p423 (forall @t136 (=> @t329 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t132 @t18) @t132)))) % 1.32/1.59 (assume @p424 (forall @t55 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t21 @t18) @t18)))) % 1.32/1.59 (assume @p425 (forall @t520 (=> @t24 (=> @t610 @t373)))) % 1.32/1.59 (assume @p426 (forall @t612 (=> @t24 (=> @t373 @t611)))) % 1.32/1.59 (assume @p427 (forall @t520 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t21 @t408) (tptp.c_Groups_Oplus__class_Oplus @t17 @t561 @t606))))) % 1.32/1.59 (assume @p428 (forall @t520 (=> @t135 (= (tptp.hAPP (tptp.hAPP @t133 @t561) @t137) @t613)))) % 1.32/1.59 (assume @p429 (forall @t562 (=> @t135 (= (tptp.hAPP @t134 @t606) @t613)))) % 1.32/1.59 (assume @p430 (forall @t282 (=> @t330 (= (tptp.c_Polynomial_Osmult @t16 @t21 @t327) @t614)))) % 1.32/1.59 (assume @p431 (forall @t619 (=> @t245 (= @t618 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t616 @t615) @t617) (tptp.hAPP @t98 @t615)))))) % 1.32/1.59 (assume @p432 (forall @t625 (=> @t358 (= @t624 (= @t621 @t457))))) % 1.32/1.59 (assume @p433 (forall @t625 (=> @t358 (= @t624 (= @t70 @t626))))) % 1.32/1.59 (assume @p434 (forall @t619 (=> @t358 (= @t618 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t126 @t615) @t617))))) % 1.32/1.59 (assume @p435 (forall @t55 (=> @t342 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t30 @t21) @t279)))) % 1.32/1.59 (assume @p436 (forall @t102 (=> @t342 @t627))) % 1.32/1.59 (assume @p437 (forall @t102 (=> @t329 @t627))) % 1.32/1.59 (assume @p438 (forall @t357 (=> @t283 (= @t558 (tptp.c_Groups_Oplus__class_Oplus @t16 @t125 @t628))))) % 1.32/1.59 (assume @p439 (forall @t102 (=> @t342 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t349) @t411)))) % 1.32/1.59 (assume @p440 (forall @t37 (=> @t185 (= (= @t629 @t18) (or @t35 @t33))))) % 1.32/1.59 (assume @p441 (forall @t136 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t30 @t132) @t18)))) % 1.32/1.59 (assume @p442 (forall @t248 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t438 @t91) @t15))) % 1.32/1.59 (assume @p443 (forall @t247 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t438) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t630 @t15)))) % 1.32/1.59 (assume @p444 (forall @t605 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t21 (tptp.c_Polynomial_OpCons @t16 @t43 @t132)) (tptp.c_Polynomial_OpCons @t16 @t99 @t561))))) % 1.32/1.59 (assume @p445 (forall @t511 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t561) @t125) (tptp.hAPP @t98 @t215))))) % 1.32/1.59 (assume @p446 (forall @t494 (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t561) @t15) (tptp.hAPP @t98 @t338))))) % 1.32/1.59 (assume @p447 (forall @t633 (=> @t49 (=> @t632 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t32 (tptp.c_Polynomial_Osmult @t16 @t34 @t96)) @t631))))) % 1.32/1.59 (assume @p448 (forall @t612 (=> @t49 (=> @t373 (=> @t52 @t610))))) % 1.32/1.59 (assume @p449 (forall @t562 (=> @t49 (=> @t611 (=> @t52 @t373))))) % 1.32/1.59 (assume @p450 (forall @t635 (=> @t135 (=> (= @t634 @t328) @t382)))) % 1.32/1.59 (assume @p451 (forall @t605 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t411 @t132) (tptp.c_Groups_Oplus__class_Oplus @t17 @t561 @t604))))) % 1.32/1.59 (assume @p452 (forall @t118 (=> @t135 (= (tptp.c_Polynomial_Osmult @t16 @t21 @t412) (tptp.c_Polynomial_Omonom @t16 @t99 @t15))))) % 1.32/1.59 (assume @p453 (forall @t282 (=> @t330 (= (tptp.c_Polynomial_Osmult @t16 @t279 @t132) @t614)))) % 1.32/1.59 (assume @p454 (forall @t138 (=> @t329 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t18 @t137) (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t137))))) % 1.32/1.59 (assume @p455 (forall @t170 (=> @t380 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t636 @t19) (tptp.hAPP (tptp.hAPP @t73 (tptp.c_Groups_Oplus__class_Oplus @t16 @t125 @t19)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t125 @t19)))))) % 1.32/1.59 (assume @p456 (forall @t500 (=> @t49 (=> @t499 (=> @t498 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t128 @t497) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t127 @t496) @t495))))))) % 1.32/1.59 (assume @p457 (forall @t505 (=> @t49 (=> @t498 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t504 @t122) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t125 @t502) @t124)))))) % 1.32/1.59 (assume @p458 (forall @t505 (=> @t49 (=> @t498 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t125 @t509) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t508 @t122) @t124)))))) % 1.32/1.59 (assume @p459 (forall (@list @t525 @t637 @t457 @t16) (=> (and @t330 @t198) (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t457 @t637) (forall (@list @t3 @t161) (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t457 (tptp.c_Groups_Oplus__class_Oplus @t16 @t3 @t525)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t457 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t3 (tptp.hAPP (tptp.hAPP @t73 @t161) @t637)) @t525)))))))) % 1.32/1.59 (assume @p460 (forall @t247 (and (=> @t246 (= @t532 @t15)) (=> @t638 (= @t532 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t630 @t15))))))) % 1.32/1.59 (assume @p461 (forall @t282 (=> @t185 (and (=> @t51 (= @t639 @t12)) (=> @t52 (= @t639 @t365)))))) % 1.32/1.59 (assume @p462 (forall @t247 (and (=> @t246 (= @t88 @t12)) (=> @t638 (= @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 (tptp.hAPP (tptp.hAPP @t86 @t630) @t15))))))) % 1.32/1.59 (assume @p463 (forall @t633 (=> @t49 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t629 @t96) (and (=> @t35 @t640) (=> @t632 @t631)))))) % 1.32/1.59 (assume @p464 (forall @t635 (=> @t135 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t634 @t328) @t18) @t382)))) % 1.32/1.59 (assume @p465 (forall @t557 (=> @t135 (= (tptp.c_Polynomial_Odegree @t16 @t387) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t365 @t91))))) % 1.32/1.59 (assume @p466 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t641 @t84) (tptp.hAPP @t641 @t15)) (=> (not (= @t197 @t531)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t84 @t15))))) % 1.32/1.59 (assume @p467 (forall (@list @t70 @t525 @t149 @t457 @t34) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t34 @t457) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t149 @t525)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t149 (tptp.hAPP (tptp.hAPP @t528 @t70) @t457)) @t525)))))) % 1.32/1.59 (assume @p468 (forall (@list @t250 @t110 @t257) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t257 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t110 @t530)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t257 @t110)))) % 1.32/1.59 (assume @p469 (forall @t304 (= (tptp.hAPP @t555 @t593) (tptp.hAPP (tptp.hAPP @t528 @t556) (tptp.hAPP @t555 @t124))))) % 1.32/1.59 (assume @p470 (forall (@list @t132 @t84) (and (=> @t246 (= @t643 @t91)) (=> @t638 (= @t643 (tptp.hAPP @t242 (tptp.hAPP @t642 @t630))))))) % 1.32/1.59 (assume @p471 (forall @t520 (=> @t135 (= (tptp.hAPP (tptp.hAPP @t133 @t328) @t137) (tptp.c_Groups_Oplus__class_Oplus @t17 @t606 @t560))))) % 1.32/1.59 (assume @p472 (forall (@list @t84 @t15 @t16) (=> @t67 (and (=> @t64 (= @t647 @t19)) (=> @t65 (= @t647 (tptp.hAPP @t646 (tptp.hAPP @t645 @t644)))))))) % 1.32/1.59 (assume @p473 (forall (@list @t648 @t194 @t129 @t43 @t21 @t16) (=> (tptp.class_RealVector_Oreal__field @t16) (= (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t99 @t649) @t648) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t98 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t43 @t194) @t648)) (tptp.hAPP (tptp.hAPP @t73 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t129) @t648)) @t194)))))) % 1.32/1.59 (assume @p474 (forall (@list @t21 @t43 @t478 @t137 @t122 @t125 @t16) (=> @t49 (=> @t655 (=> @t654 (=> (= @t43 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t650) @t652) @t653)) (tptp.c_Polynomial_Opdivmod__rel @t16 @t651 @t122 @t434 (tptp.c_Groups_Ominus__class_Ominus @t17 @t650 (tptp.c_Polynomial_Osmult @t16 @t43 @t122))))))))) % 1.32/1.59 (assume @p475 (forall @t102 (=> @t329 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t279 @t349) @t609)))) % 1.32/1.59 (assume @p476 (forall @t656 (=> @t329 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t418 @t420) (tptp.c_Groups_Oplus__class_Oplus @t16 @t596 (tptp.c_Groups_Ominus__class_Ominus @t16 @t129 @t194)))))) % 1.32/1.59 (assume @p477 (forall @t568 (= @t569 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t121 @t124)))) % 1.32/1.59 (assume @p478 (forall @t304 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t122 @t124)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 @t124))))) % 1.32/1.59 (assume @p479 (forall @t601 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t576 @t600) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t574 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t571 @t600))))) % 1.32/1.59 (assume @p480 (forall @t590 (= @t589 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t547 @t197) @t546)))) % 1.32/1.59 (assume @p481 (forall @t664 (=> @t49 (=> @t663 (=> @t661 @t659))))) % 1.32/1.59 (assume @p482 (forall @t664 (=> @t49 (=> @t663 (=> @t661 @t665))))) % 1.32/1.59 (assume @p483 (forall @t664 (=> @t49 (=> @t663 (=> @t661 (and @t659 @t665)))))) % 1.32/1.59 (assume @p484 (forall (@list @t666 @t96 @t144 @t16) (=> @t49 (= (tptp.c_Polynomial_Opdivmod__rel @t16 @t18 @t144 @t96 @t666) (and @t640 @t667))))) % 1.32/1.59 (assume @p485 (forall (@list @t666 @t96 @t149 @t16) (=> @t49 (= (tptp.c_Polynomial_Opdivmod__rel @t16 @t149 @t18 @t96 @t666) (and @t640 (= @t666 @t149)))))) % 1.32/1.59 (assume @p486 (forall @t181 (=> @t49 (tptp.c_Polynomial_Opdivmod__rel @t16 @t18 @t122 @t18 @t18)))) % 1.32/1.59 (assume @p487 (forall @t170 (=> @t49 (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t18 @t18 @t125)))) % 1.32/1.59 (assume @p488 (forall (@list @t21 @t478 @t137 @t122 @t125 @t16) (=> @t49 (=> @t655 (tptp.c_Polynomial_Opdivmod__rel @t16 @t668 @t122 @t606 (tptp.c_Polynomial_Osmult @t16 @t21 @t478)))))) % 1.32/1.59 (assume @p489 (forall (@list @t669 @t671 @t124 @t478 @t137 @t122 @t125 @t16) (=> @t49 (=> @t655 (=> (tptp.c_Polynomial_Opdivmod__rel @t16 @t137 @t124 @t671 @t669) (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t672 @t671 (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP @t670 @t669) @t478))))))) % 1.32/1.59 (assume @p490 (forall (@list @t125 @t21 @t122 @t16) (=> @t49 (=> @t654 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t651 @t122) (tptp.c_Groups_Ominus__class_Ominus @t17 @t674 (tptp.c_Polynomial_Osmult @t16 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t674) @t652) @t653) @t122))))))) % 1.32/1.59 (assume @p491 (forall (@list @t648 @t132 @t21 @t16) (=> @t135 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t328 @t648) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Polynomial_Osmult @t16 @t648 @t675) (tptp.c_Polynomial_OpCons @t16 @t21 @t675)))))) % 1.32/1.59 (assume @p492 (forall (@list @t666 @t96 @t144 @t149 @t16) (=> @t49 (= (tptp.c_Polynomial_Opdivmod__rel @t16 @t149 @t144 @t96 @t666) (and (= @t149 (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP (tptp.hAPP @t133 @t96) @t144) @t666)) (=> @t480 @t640) (=> (not @t480) (or @t667 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t16 @t666) (tptp.c_Polynomial_Odegree @t16 @t144))))))))) % 1.32/1.59 (assume @p493 (forall @t170 (=> @t49 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t125 @t18) @t677)))) % 1.32/1.59 (assume @p494 (forall @t248 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t12)))) % 1.32/1.59 (assume @p495 (forall @t247 (=> @t679 @t678))) % 1.32/1.59 (assume @p496 (forall @t248 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t438))) % 1.32/1.59 (assume @p497 (forall @t248 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t438))) % 1.32/1.59 (assume @p498 (forall @t222 (=> @t681 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t680) (and (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t149) (tptp.c_Orderings_Oord__class_Oless @t16 @t149 @t19)))))) % 1.32/1.59 (assume @p499 (forall @t55 (=> @t685 (=> @t684 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t682)))))) % 1.32/1.59 (assume @p500 (forall (@list @t686 @t15 @t84) (=> @t679 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t84 @t686) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t686 @t15) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t686 @t84)))))) % 1.32/1.59 (assume @p501 (forall (@list @t15 @t197 @t546) (=> @t687 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t546 @t15) @t197)))) % 1.32/1.59 (assume @p502 (forall @t222 (=> @t42 (= (= @t680 @t19) @t241)))) % 1.32/1.59 (assume @p503 (forall @t28 (=> @t56 (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t19) @t19)))) % 1.32/1.59 (assume @p504 (forall @t688 (=> @t49 (=> @t655 (= @t673 @t478))))) % 1.32/1.59 (assume @p505 (forall @t694 (=> @t693 (=> @t692 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t16 @t41 @t690)))))) % 1.32/1.59 (assume @p506 (forall @t90 (=> @t693 (=> @t691 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t85 @t41) @t679))))) % 1.32/1.59 (assume @p507 (forall (@list @t144 @t149 @t57 @t16) (=> @t693 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t57) (= (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.hAPP @t695 @t149) (tptp.hAPP @t695 @t144)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t149 @t144)))))) % 1.32/1.59 (assume @p508 (forall @t209 (=> @t697 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t425 (tptp.c_Groups_Oplus__class_Oplus @t16 @t57 @t70)) @t696)))) % 1.32/1.59 (assume @p509 (forall @t160 (=> @t697 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t423 (tptp.c_Groups_Oplus__class_Oplus @t16 @t70 @t57)) @t696)))) % 1.32/1.59 (assume @p510 (forall @t131 (=> @t700 (=> @t699 @t698)))) % 1.32/1.59 (assume @p511 (forall @t131 (=> @t700 (=> @t699 @t701)))) % 1.32/1.59 (assume @p512 (forall @t196 (=> @t700 (=> @t699 (=> @t702 (tptp.c_Orderings_Oord__class_Oless @t16 @t418 @t420)))))) % 1.32/1.59 (assume @p513 (forall @t193 (=> @t697 (=> @t698 @t699)))) % 1.32/1.59 (assume @p514 (forall @t142 (=> @t697 (=> @t701 @t699)))) % 1.32/1.59 (assume @p515 (forall @t460 (=> @t703 (=> @t603 (= @t696 (tptp.c_Orderings_Oord__class_Oless @t16 @t70 @t457)))))) % 1.32/1.59 (assume @p516 (forall @t103 (=> @t703 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t34 @t344) (tptp.c_Orderings_Oord__class_Oless @t16 @t57 @t343))))) % 1.32/1.59 (assume @p517 (forall @t103 (=> @t703 (= @t704 (tptp.c_Orderings_Oord__class_Oless @t16 @t344 @t34))))) % 1.32/1.59 (assume @p518 (forall @t61 (=> @t703 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t344 @t343) @t696)))) % 1.32/1.59 (assume @p519 (forall @t705 (=> @t49 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t668 @t122) (tptp.c_Polynomial_Osmult @t16 @t21 @t673))))) % 1.32/1.59 (assume @p520 (forall @t248 (=> @t65 @t706))) % 1.32/1.59 (assume @p521 (forall @t247 (=> @t679 @t65))) % 1.32/1.59 (assume @p522 (forall @t708 (= @t112 @t707))) % 1.32/1.59 (assume @p523 (forall @t255 (= (not @t711) @t710))) % 1.32/1.59 (assume @p524 (forall @t255 (= @t712 (or @t711 @t259)))) % 1.32/1.59 (assume @p525 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t709 @t482) @t711))) % 1.32/1.59 (assume @p526 (forall @t714 (=> (not @t713) (= @t710 (= @t110 @t250))))) % 1.32/1.59 (assume @p527 (forall @t592 (=> (not @t715) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t468) @t317)))) % 1.32/1.59 (assume @p528 (forall @t247 (=> @t679 @t716))) % 1.32/1.59 (assume @p529 (forall @t247 (=> @t679 (=> (not (= @t468 @t15)) @t717)))) % 1.32/1.59 (assume @p530 (forall @t590 (=> @t719 (=> @t687 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t718 @t197))))) % 1.32/1.59 (assume @p531 (forall @t247 (=> @t716 (=> @t720 @t317)))) % 1.32/1.59 (assume @p532 (forall @t247 (=> @t717 @t679))) % 1.32/1.59 (assume @p533 (forall @t247 (=> @t678 @t679))) % 1.32/1.59 (assume @p534 (forall (@list @t546 @t547) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t548 @t547)))) % 1.32/1.59 (assume @p535 (forall (@list @t547 @t546) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t546 @t547) @t547)))) % 1.32/1.59 (assume @p536 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t587 @t586) @t711))) % 1.32/1.59 (assume @p537 (forall @t721 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t546 @t84))))) % 1.32/1.59 (assume @p538 (forall @t721 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t546))))) % 1.32/1.59 (assume @p539 (forall @t590 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t722 @t588)))) % 1.32/1.59 (assume @p540 (forall (@list @t686 @t197 @t546 @t547) (=> @t719 (=> @t723 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t722 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t546 @t686)))))) % 1.32/1.59 (assume @p541 (forall (@list @t15 @t84 @t686 @t197) (=> @t723 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t686) @t585) @t679)))) % 1.32/1.59 (assume @p542 (forall @t590 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t548 @t197) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t197)))) % 1.32/1.59 (assume @p543 (forall @t357 (=> @t49 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t406 @t122) (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t673))))) % 1.32/1.59 (assume @p544 (forall @t357 (=> @t49 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t125 @t405) @t673)))) % 1.32/1.59 (assume @p545 (forall @t694 (=> @t693 (=> @t692 (=> @t684 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t16 @t690 @t41))))))) % 1.32/1.59 (assume @p546 (forall @t102 (=> @t54 (=> @t725 @t316)))) % 1.32/1.59 (assume @p547 (forall @t357 (=> @t726 (=> @t314 (=> (not (tptp.c_Orderings_Oord__class_Oless @t16 @t125 @t122)) (tptp.c_Orderings_Oord__class_Oless @t16 @t122 @t125)))))) % 1.32/1.59 (assume @p548 (forall @t103 (=> @t54 (= (= @t727 (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t57)) @t58)))) % 1.32/1.59 (assume @p549 (forall @t55 (=> @t54 @t728))) % 1.32/1.59 (assume @p550 (forall @t357 (=> @t49 (=> @t729 (= @t673 @t125))))) % 1.32/1.59 (assume @p551 (forall (@list @t517 @t110 @t250) (=> (=> @t711 @t731) (=> (=> @t259 @t731) (=> (=> @t713 @t731) @t731))))) % 1.32/1.59 (assume @p552 (forall (@list @t732 @t733) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t733 @t732) (not (= @t733 @t732))))) % 1.32/1.59 (assume @p553 (forall @t592 (=> @t715 @t333))) % 1.32/1.59 (assume @p554 (forall @t248 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t15)))) % 1.32/1.59 (assume @p555 (forall @t299 (=> @t314 (=> (not @t734) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t125))))) % 1.32/1.59 (assume @p556 (forall @t255 (= (not @t259) (or @t711 @t713)))) % 1.32/1.59 (assume @p557 (forall @t102 (=> @t42 (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t45) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t43 @t21))))) % 1.32/1.59 (assume @p558 (forall @t25 (=> @t54 @t735))) % 1.32/1.59 (assume @p559 (forall @t55 (=> @t54 @t736))) % 1.32/1.59 (assume @p560 (forall @t346 (=> @t681 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t727) @t737)))) % 1.32/1.59 (assume @p561 (forall @t346 (=> @t681 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t727 @t30) @t738)))) % 1.32/1.59 (assume @p562 (forall @t55 (=> @t685 (=> @t684 @t739)))) % 1.32/1.59 (assume @p563 (forall @t55 (=> @t685 (=> @t739 (=> @t52 @t684))))) % 1.32/1.59 (assume @p564 (forall @t55 (=> @t685 (=> @t741 @t740)))) % 1.32/1.59 (assume @p565 (forall @t102 (=> @t685 (=> @t699 (=> @t684 @t742))))) % 1.32/1.59 (assume @p566 (forall @t102 (=> @t685 (=> @t699 (=> @t743 @t742))))) % 1.32/1.59 (assume @p567 (forall @t55 (=> @t685 (=> @t740 (=> @t52 @t741))))) % 1.32/1.59 (assume @p568 (forall @t102 (=> @t685 (=> @t745 (=> @t684 @t744))))) % 1.32/1.59 (assume @p569 (forall @t102 (=> @t685 (=> @t745 (=> @t743 @t744))))) % 1.32/1.59 (assume @p570 (forall @t102 (=> @t42 (= @t747 (tptp.hAPP @t746 @t724))))) % 1.32/1.59 (assume @p571 (forall @t102 (=> @t56 (=> @t725 (=> @t52 (=> @t48 @t316)))))) % 1.32/1.59 (assume @p572 (forall @t55 (=> @t56 (=> @t748 @t51)))) % 1.32/1.59 (assume @p573 (forall @t55 (=> @t56 (=> @t52 @t728)))) % 1.32/1.59 (assume @p574 (forall @t55 (=> @t56 (=> @t52 (not @t748))))) % 1.32/1.59 (assume @p575 (forall @t346 (=> @t54 (= (= @t727 @t30) @t35)))) % 1.32/1.59 (assume @p576 (forall @t28 (=> @t54 @t749))) % 1.32/1.59 (assume @p577 (forall @t28 (=> @t42 @t749))) % 1.32/1.59 (assume @p578 (forall @t750 (=> @t49 (=> @t654 (or (= @t673 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t16 @t673) @t652)))))) % 1.32/1.59 (assume @p579 (forall @t25 (=> @t693 (=> @t691 (=> @t706 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t41)))))) % 1.32/1.59 (assume @p580 (forall @t102 (=> @t56 (=> @t52 (=> @t48 (= @t747 (tptp.hAPP (tptp.hAPP @t73 @t724) @t682))))))) % 1.32/1.59 (assume @p581 (forall @t55 (=> @t56 (=> @t52 @t736)))) % 1.32/1.59 (assume @p582 (forall @t102 (=> @t56 (=> (= @t99 @t19) (= @t682 @t43))))) % 1.32/1.59 (assume @p583 (forall @t25 (=> @t56 (=> @t52 @t735)))) % 1.32/1.59 (assume @p584 (forall @t102 (=> @t56 @t751))) % 1.32/1.59 (assume @p585 (forall @t102 (=> @t49 @t751))) % 1.32/1.59 (assume @p586 @t754) % 1.32/1.59 (assume @p587 (forall @t55 (=> @t49 @t752))) % 1.32/1.59 (assume @p588 (forall @t705 (=> @t49 (=> @t52 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t125 @t755) @t673))))) % 1.32/1.59 (assume @p589 (forall @t417 (=> @t523 (=> @t744 (=> @t757 @t756))))) % 1.32/1.59 (assume @p590 (forall @t417 (=> @t523 (=> @t744 (=> @t757 @t758))))) % 1.32/1.59 (assume @p591 (forall @t131 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t16) @t760))) % 1.32/1.59 (assume @p592 (forall @t131 (=> @t761 @t760))) % 1.32/1.59 (assume @p593 (forall @t131 (=> @t761 (=> @t699 (=> @t759 @t758))))) % 1.32/1.59 (assume @p594 (forall @t102 (=> @t523 (=> @t741 (=> @t743 @t762))))) % 1.32/1.59 (assume @p595 (forall @t102 (=> @t761 (=> @t741 (=> @t764 @t763))))) % 1.32/1.59 (assume @p596 (forall @t160 (=> @t523 (=> @t767 (= @t766 @t765))))) % 1.32/1.59 (assume @p597 (forall @t368 (=> @t761 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t191) @t768)))) % 1.32/1.59 (assume @p598 (forall @t102 (=> @t761 (=> @t762 @t768)))) % 1.32/1.59 (assume @p599 (forall @t102 (=> @t761 (=> @t684 (=> @t743 (tptp.c_Orderings_Oord__class_Oless @t16 @t191 @t30)))))) % 1.32/1.59 (assume @p600 (forall @t102 (=> @t761 (=> @t684 (=> @t743 @t763))))) % 1.32/1.59 (assume @p601 (forall @t102 (=> @t761 (=> @t684 (=> @t764 @t762))))) % 1.32/1.59 (assume @p602 (forall @t160 (=> @t523 (=> @t769 (= @t766 @t696))))) % 1.32/1.59 (assume @p603 (forall @t160 (=> @t523 (= @t766 @t770)))) % 1.32/1.59 (assume @p604 (forall @t209 (=> @t523 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t75 @t208) @t770)))) % 1.32/1.59 (assume @p605 (forall @t55 (=> @t772 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t771 @t30))))) % 1.32/1.59 (assume @p606 (forall @t346 (=> @t726 @t773))) % 1.32/1.59 (assume @p607 (forall @t346 (=> @t347 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t442) @t737)))) % 1.32/1.59 (assume @p608 (forall @t346 (=> @t347 @t773))) % 1.32/1.59 (assume @p609 (forall @t102 (=> @t776 (=> @t684 @t775)))) % 1.32/1.59 (assume @p610 (forall @t102 (=> @t776 (=> @t741 @t778)))) % 1.32/1.59 (assume @p611 (forall @t131 (=> @t693 (=> @t684 @t780)))) % 1.32/1.59 (assume @p612 (forall @t103 (=> @t703 (= @t696 (tptp.c_Orderings_Oord__class_Oless @t16 @t602 @t30))))) % 1.32/1.59 (assume @p613 (forall @t28 (=> @t693 (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t19)))) % 1.32/1.59 (assume @p614 (forall @t28 (=> @t693 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t30))))) % 1.32/1.59 (assume @p615 (forall @t346 (=> @t703 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t343) @t738)))) % 1.32/1.59 (assume @p616 (forall @t346 (=> @t703 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t343 @t30) @t737)))) % 1.32/1.59 (assume @p617 (forall @t346 (=> @t347 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t343 @t34) @t737)))) % 1.32/1.59 (assume @p618 (forall @t346 (=> @t726 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t34 @t343) @t738)))) % 1.32/1.59 (assume @p619 (forall (@list @t15 @t84 @t16) (=> @t693 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t84) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t15) (tptp.c_Orderings_Oord__class_Oless @t16 @t19 (tptp.hAPP @t646 @t15))))))) % 1.32/1.59 (assume @p620 (forall @t25 (=> @t693 (=> @t684 (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t41))))) % 1.32/1.59 (assume @p621 (forall @t55 (=> @t693 (tptp.c_Orderings_Oord__class_Oless @t16 @t21 @t485)))) % 1.32/1.59 (assume @p622 (forall @t417 (=> @t685 (=> @t744 (=> @t757 @t781))))) % 1.32/1.59 (assume @p623 (forall @t131 (=> @t685 (=> @t699 (=> @t759 @t781))))) % 1.32/1.59 (assume @p624 (forall @t357 (=> @t685 (=> @t784 (=> @t783 @t782))))) % 1.32/1.59 (assume @p625 (forall @t357 (=> @t685 (=> @t784 (=> @t786 @t785))))) % 1.32/1.59 (assume @p626 (forall @t357 (=> @t685 (=> @t787 (=> @t783 @t785))))) % 1.32/1.59 (assume @p627 (forall @t357 (=> @t685 (=> @t787 (=> @t786 @t782))))) % 1.32/1.59 (assume @p628 (forall @t103 (=> @t681 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t59 @t30) (or (and @t737 @t789) (and @t738 @t788)))))) % 1.32/1.59 (assume @p629 (forall @t103 (=> @t681 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t59) (or (and @t737 @t788) (and @t738 @t789)))))) % 1.32/1.59 (assume @p630 (forall (@list @t110 @t250 @t34 @t16) (=> @t693 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t34) (= (= (tptp.hAPP @t113 @t250) @t114) @t259))))) % 1.32/1.59 (assume @p631 (forall @t708 (= @t707 (exists (@list @t790) (= @t110 (tptp.c_Nat_OSuc @t790)))))) % 1.32/1.59 (assume @p632 (forall @t708 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t404) @t111))) % 1.32/1.59 (assume @p633 (forall @t255 (= @t712 (or @t277 (exists (@list @t791) (and (= @t250 (tptp.c_Nat_OSuc @t791)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t791 @t110))))))) % 1.32/1.59 (assume @p634 (forall @t592 (=> @t706 (=> @t319 @t792)))) % 1.32/1.59 (assume @p635 (forall @t247 (=> @t792 (=> @t679 (not @t318))))) % 1.32/1.59 (assume @p636 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t533) (or @t793 @t707)))) % 1.32/1.59 (assume @p637 (forall @t794 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t547 @t84))))) % 1.32/1.59 (assume @p638 (forall @t794 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t84 @t547))))) % 1.32/1.59 (assume @p639 (forall @t255 (= @t711 (exists @t164 (= @t110 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t250 @t161))))))) % 1.32/1.59 (assume @p640 (forall @t750 (=> @t49 @t795))) % 1.32/1.59 (assume @p641 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t254) (and @t793 @t707)))) % 1.32/1.59 (assume @p642 (forall @t269 (= @t798 @t797))) % 1.32/1.59 (assume @p643 (forall @t264 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t263 @t262) @t797))) % 1.32/1.59 (assume @p644 (forall @t269 (=> @t796 (= @t268 @t259)))) % 1.32/1.59 (assume @p645 (forall @t269 (=> @t796 (= @t798 @t711)))) % 1.32/1.59 (assume @p646 (forall @t590 (=> @t719 (=> @t799 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t550 @t197) (tptp.hAPP @t549 @t197)))))) % 1.32/1.59 (assume @p647 (forall @t590 (=> @t719 (=> @t799 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t540 @t547) (tptp.hAPP @t540 @t546)))))) % 1.32/1.59 (assume @p648 (forall @t714 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t110 @t250)) @t711))) % 1.32/1.59 (assume @p649 (forall @t592 (=> @t706 (=> @t792 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t84))))) % 1.32/1.59 (assume @p650 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t477 @t476) @t711))) % 1.32/1.59 (assume @p651 (forall @t247 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t468))) % 1.32/1.59 (assume @p652 (forall @t247 (=> @t720 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t583) @t84)))) % 1.32/1.59 (assume @p653 (forall (@list @t257 @t800 @t801) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t801 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t800 @t257)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t801 @t257) @t800)))) % 1.32/1.59 (assume @p654 (forall @t804 (= @t803 (or @t802 @t111)))) % 1.32/1.59 (assume @p655 (forall (@list @t15 @t84 @t547) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t547) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t805 @t84) (tptp.hAPP @t805 @t15)) @t679)))) % 1.32/1.59 (assume @p656 (forall (@list @t806 @t32 @t16) (=> @t135 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t32 @t806) @t18) @t33)))) % 1.32/1.59 (assume @p657 (forall (@list @t648 @t16) (=> @t135 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t18 @t648) @t18)))) % 1.32/1.59 (assume @p658 (forall (@list @t648 @t132 @t16) (=> @t135 (= (tptp.c_Polynomial_Odegree @t16 @t675) @t365)))) % 1.32/1.59 (assume @p659 (forall (@list @t132 @t137 @t16) (=> @t409 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t374 @t365) (= @t807 @t365))))) % 1.32/1.59 (assume @p660 (forall @t378 (=> @t409 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t365 @t374) (= @t807 @t374))))) % 1.32/1.59 (assume @p661 (forall @t810 (=> @t409 (=> @t809 (=> @t808 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t807 @t15)))))) % 1.32/1.59 (assume @p662 (forall @t750 (=> @t49 (and (=> @t398 (= @t396 @t677)) @t795)))) % 1.32/1.59 (assume @p663 (forall @t810 (=> @t329 (=> @t809 (=> @t808 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t16 @t595) @t15)))))) % 1.32/1.59 (assume @p664 (forall @t102 (=> @t49 (=> @t52 (=> @t48 (= @t811 (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP @t445 @t682)) @t724))))))) % 1.32/1.59 (assume @p665 (forall @t102 (=> @t56 (=> @t52 (=> @t48 (= @t811 (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP @t746 @t411)) @t724))))))) % 1.32/1.59 (assume @p666 (forall @t102 (=> @t56 (=> @t52 (=> @t48 (= @t812 (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP @t746 @t608)) @t724))))))) % 1.32/1.59 (assume @p667 @t816) % 1.32/1.59 (assume @p668 (forall @t55 (=> @t49 @t814))) % 1.32/1.59 (assume @p669 (forall @t55 (=> @t56 (=> @t52 (= (tptp.hAPP @t98 @t682) @t19))))) % 1.32/1.59 (assume @p670 (forall @t55 (=> @t56 (=> @t52 @t752)))) % 1.32/1.59 (assume @p671 (forall @t340 (=> @t523 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t522) (or (not @t221) @t153))))) % 1.32/1.59 (assume @p672 (forall @t357 (=> @t772 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t817 @t30))))) % 1.32/1.59 (assume @p673 (forall @t28 (=> @t693 (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t487)))) % 1.32/1.59 (assume @p674 (forall @t625 (=> @t819 (= @t818 (tptp.c_Orderings_Oord__class_Oless @t16 @t621 @t457))))) % 1.32/1.59 (assume @p675 (forall @t625 (=> @t819 (= @t818 (tptp.c_Orderings_Oord__class_Oless @t16 @t70 @t626))))) % 1.32/1.59 (assume @p676 (forall @t131 (=> @t685 (=> @t699 (=> @t757 @t820))))) % 1.32/1.59 (assume @p677 (forall @t417 (=> @t685 (=> @t744 (=> @t759 @t820))))) % 1.32/1.59 (assume @p678 (forall @t159 (=> @t685 (=> @t767 (= @t822 @t821))))) % 1.32/1.59 (assume @p679 (forall @t160 (=> @t685 (=> @t767 (= @t824 @t823))))) % 1.32/1.59 (assume @p680 (forall @t510 (=> @t685 (=> @t786 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t502 @t125) (tptp.c_Orderings_Oord__class_Oless @t16 @t124 @t128)))))) % 1.32/1.59 (assume @p681 (forall @t507 (=> @t685 (=> @t786 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t125 @t502) (tptp.c_Orderings_Oord__class_Oless @t16 @t128 @t124)))))) % 1.32/1.59 (assume @p682 (forall @t159 (=> @t685 (=> @t769 (= @t822 @t823))))) % 1.32/1.59 (assume @p683 (forall @t160 (=> @t685 (=> @t769 (= @t824 @t821))))) % 1.32/1.59 (assume @p684 (forall @t83 (=> @t681 (= @t822 (and (=> @t769 @t823) (=> @t826 (and (=> @t767 @t821) (=> @t825 @t737)))))))) % 1.32/1.59 (assume @p685 (forall @t80 (=> @t681 (= @t824 (and (=> @t769 @t821) (=> @t826 (and (=> @t767 @t823) (=> @t825 @t738)))))))) % 1.32/1.59 (assume @p686 (forall @t25 (=> @t693 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t16 @t41 @t119))))) % 1.32/1.59 (assume @p687 (forall @t25 (=> @t693 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t119))))) % 1.32/1.59 (assume @p688 (forall @t102 (=> @t685 (=> @t699 (tptp.c_Orderings_Oord__class_Oless @t16 @t827 @t43))))) % 1.32/1.59 (assume @p689 (forall @t102 (=> @t685 (=> @t699 (tptp.c_Orderings_Oord__class_Oless @t16 @t21 @t827))))) % 1.32/1.59 (assume @p690 (forall @t25 (=> @t693 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t488))))) % 1.32/1.59 (assume @p691 (forall (@list @t478 @t137 @t122 @t125 @t21 @t16) (=> @t49 (=> @t52 (=> @t655 (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t755 (tptp.c_Polynomial_Osmult @t16 @t682 @t137) @t478)))))) % 1.32/1.59 (assume @p692 (forall @t592 (=> @t829 (=> @t828 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t404 @t88))))) % 1.32/1.59 (assume @p693 (forall @t592 (=> @t829 (=> @t828 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t275))))) % 1.32/1.59 (assume @p694 (forall @t592 (=> @t829 (=> @t828 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t88))))) % 1.32/1.59 (assume @p695 (forall (@list @t547 @t15) (=> @t706 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t718) @t15)))) % 1.32/1.59 (assume @p696 (forall @t248 (=> @t706 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t404)) @t15)))) % 1.32/1.59 (assume @p697 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t542 @t541) (=> @t799 @t319)))) % 1.32/1.59 (assume @p698 (forall @t269 (=> @t796 (= @t272 @t271)))) % 1.32/1.59 (assume @p699 (forall @t837 (= @t836 (not (or (and @t835 (not @t834)) (exists @t833 (and @t832 (not @t831)))))))) % 1.32/1.59 (assume @p700 (forall @t837 (= @t836 (and (=> @t835 @t834) (forall @t833 (=> @t832 @t831)))))) % 1.32/1.59 (assume @p701 (forall @t339 (=> @t31 (=> @t809 (= @t338 @t30))))) % 1.32/1.59 (assume @p702 (forall @t102 (=> @t56 (=> @t52 (=> @t48 (= @t812 (tptp.c_Groups_Ouminus__class_Ouminus @t16 (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP @t746 @t596)) @t724)))))))) % 1.32/1.59 (assume @p703 (forall @t25 (=> @t693 (=> @t684 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t16 @t119 @t41)))))) % 1.32/1.59 (assume @p704 (forall @t25 (=> @t693 (=> @t684 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t16 @t488 @t19)))))) % 1.32/1.59 (assume @p705 (forall @t838 (=> @t24 (=> (or @t706 (= @t125 @t19)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t125 @t201))))) % 1.32/1.59 (assume @p706 (forall (@list @t125 @t648 @t132 @t16) (=> @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t675) @t125) (tptp.hAPP @t214 (tptp.c_Groups_Oplus__class_Oplus @t16 @t648 @t125)))))) % 1.32/1.59 (assume @p707 (forall @t248 (=> @t706 (= @t839 @t15)))) % 1.32/1.59 (assume @p708 (forall @t248 (=> @t706 (= @t15 @t839)))) % 1.32/1.59 (assume @p709 (forall @t255 (=> @t793 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t261 @t250) @t250) @t249)))) % 1.32/1.59 (assume @p710 (forall @t255 (=> @t793 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t254 @t250) @t249)))) % 1.32/1.59 (assume @p711 (forall (@list @t648 @t21 @t16) (=> @t135 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t92 @t648) @t92)))) % 1.32/1.59 (assume @p712 (forall (@list @t648 @t43 @t21 @t16) (=> @t180 (=> @t52 (=> @t48 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t812 @t648) (tptp.c_Groups_Ouminus__class_Ouminus @t16 (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP @t746 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t596 @t648))) @t724)))))))) % 1.32/1.59 (assume @p713 (forall @t838 (=> @t89 (=> @t706 (= (tptp.hAPP (tptp.hAPP @t73 (tptp.hAPP @t167 @t644)) @t125) @t201))))) % 1.32/1.59 (assume @p714 (forall @t804 (= @t803 (or @t111 @t802)))) % 1.32/1.59 (assume @p715 (forall @t295 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t125 @t516) (or (= @t125 @t12) (= @t125 @t404))))) % 1.32/1.59 (assume @p716 (forall @t103 (=> @t840 (= @t205 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t57 @t34) @t30))))) % 1.32/1.59 (assume @p717 (forall @t102 (=> @t840 (=> @t190 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t43 @t21) @t30))))) % 1.32/1.59 (assume @p718 (forall @t590 (=> @t841 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t547 @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t546 @t197))))) % 1.32/1.59 (assume @p719 (forall (@list @t144 @t110 @t149) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t149 @t110) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t144 @t110)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t110 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t149 @t144))))) % 1.32/1.59 (assume @p720 (forall @t247 (and @t844 @t843))) % 1.32/1.59 (assume @p721 (forall (@list @t84 @t122 @t125) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t122 @t84)) @t84) @t845))) % 1.32/1.59 (assume @p722 (forall @t847 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t846 @t122) @t84) @t845))) % 1.32/1.59 (assume @p723 (forall @t247 @t843)) % 1.32/1.59 (assume @p724 (forall @t276 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t84 @t404) @t12))) % 1.32/1.59 (assume @p725 (forall @t247 (and (=> @t850 (= @t849 @t12)) (=> (not @t850) (= @t849 @t848))))) % 1.32/1.59 (assume @p726 (forall @t853 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t250 @t457) @t12) (exists @t852 (= @t250 (tptp.hAPP (tptp.hAPP @t86 @t457) @t851)))))) % 1.32/1.59 (assume @p727 (forall @t853 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t250 @t457) @t531) (exists @t852 (= @t250 (tptp.hAPP (tptp.hAPP @t528 @t457) @t851)))))) % 1.32/1.59 (assume @p728 (forall @t855 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t854 @t15) @t842))) % 1.32/1.59 (assume @p729 (forall @t857 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t686)) @t531)) @t856))) % 1.32/1.59 (assume @p730 (forall @t857 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t197) @t686) @t531)) @t856))) % 1.32/1.59 (assume @p731 (forall @t847 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t512 @t846) @t122) @t84) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t556 @t84)))) % 1.32/1.59 (assume @p732 (forall (@list @t15 @t84 @t859) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t859 @t84) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t859 @t15) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t859 @t858))))) % 1.32/1.59 (assume @p733 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t197 @t858) @t594))) % 1.32/1.59 (assume @p734 (forall @t247 @t844)) % 1.32/1.59 (assume @p735 (forall @t247 (= @t849 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t848 @t15)))) % 1.32/1.59 (assume @p736 (forall (@list @t84 @t125) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t846) @t84) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t125) @t84)))) % 1.32/1.59 (assume @p737 (forall @t308 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t862 @t861) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t860)))) % 1.32/1.59 (assume @p738 (forall @t308 (= @t864 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t863)))) % 1.32/1.59 (assume @p739 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t86 @t842) @t197) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t544 @t273)))) % 1.32/1.59 (assume @p740 (forall @t543 (= (tptp.hAPP @t540 @t842) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t542 @t541)))) % 1.32/1.59 (assume @p741 (forall @t865 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t531 @t43) @t531))) % 1.32/1.59 (assume @p742 (forall @t866 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t21) @t531))) % 1.32/1.59 (assume @p743 (forall @t868 (=> @t867 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t860 @t43)))) % 1.32/1.59 (assume @p744 (forall @t592 (=> @t706 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t842 @t15)))) % 1.32/1.59 (assume @p745 (forall @t868 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t531) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t860)))) % 1.32/1.59 (assume @p746 (forall @t312 (= @t874 @t871))) % 1.32/1.59 (assume @p747 (forall @t312 (= @t871 @t874))) % 1.32/1.59 (assume @p748 (forall @t855 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t854) @t15) @t849))) % 1.32/1.59 (assume @p749 (forall @t308 (and (=> @t875 (= @t864 @t531)) (=> @t876 (= @t864 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t860 @t43)))))) % 1.32/1.59 (assume @p750 (forall @t308 (and (=> @t875 (= @t863 @t531)) (=> @t876 (= @t863 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t43 @t860)))))) % 1.32/1.59 (assume @p751 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t570)) % 1.32/1.59 (assume @p752 (forall @t590 (=> @t841 (=> @t877 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t641 @t547) (tptp.hAPP @t641 @t546)))))) % 1.32/1.59 (assume @p753 (forall (@list @t148 @t145) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t145 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t148 @t570)) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t145 @t148) (= @t145 @t148))))) % 1.32/1.59 (assume @p754 (forall (@list @t518 @t257) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t257 @t518) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t257 @t518) @t531)))) % 1.32/1.59 (assume @p755 (forall @t247 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t84) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 @t15) (not @t878))))) % 1.32/1.59 (assume @p756 (forall (@list @t137 @t43 @t478 @t129) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t129) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t478 @t43) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t879 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t137 @t129)) @t478) @t880))))) % 1.32/1.59 (assume @p757 (forall @t886 (= (tptp.hBOOL (tptp.hAPP @t517 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t110 @t257))) (and (=> @t258 (tptp.hBOOL @t730)) (=> @t885 (forall @t884 (=> @t883 (=> @t882 (tptp.hBOOL (tptp.hAPP @t517 @t791)))))))))) % 1.32/1.59 (assume @p758 (forall (@list @t84 @t197) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t197) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t542) @t197) @t91)))) % 1.32/1.59 (assume @p759 (forall @t887 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t570 @t148) @t148) @t531) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t148 @t531)))) % 1.32/1.59 (assume @p760 (forall @t255 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t250) (= (= @t888 @t570) (and (= @t250 @t570) (= @t110 @t570)))))) % 1.32/1.59 (assume @p761 (forall @t102 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t889 @t43) @t889)))) % 1.32/1.59 (assume @p762 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t30 @t21) @t30)))) % 1.32/1.59 (assume @p763 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t21 @t30) @t21)))) % 1.32/1.59 (assume @p764 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t21 @t21) @t30)))) % 1.32/1.59 (assume @p765 (forall @t131 (=> @t840 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.hAPP @t98 @t890) @t129))))) % 1.32/1.59 (assume @p766 (forall @t131 (=> @t840 (= @t891 @t894)))) % 1.32/1.59 (assume @p767 (forall @t131 (=> @t840 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.hAPP @t893 @t890) @t129))))) % 1.32/1.59 (assume @p768 (forall @t142 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t156 @t155) (tptp.hAPP @t154 @t889))))) % 1.32/1.59 (assume @p769 (forall @t193 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t139 @t158) (tptp.hAPP (tptp.hAPP @t73 @t889) @t129))))) % 1.32/1.59 (assume @p770 (forall @t193 (=> @t840 (= @t894 @t891)))) % 1.32/1.59 (assume @p771 (forall @t897 (=> @t840 (=> @t896 (=> @t895 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.hAPP @t454 @t464) @t129))))))) % 1.32/1.59 (assume @p772 (forall @t897 (=> @t840 (=> @t896 (=> @t895 (= @t898 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t453 @t464) @t129))))))) % 1.32/1.59 (assume @p773 (forall @t193 (=> @t840 (= @t899 @t898)))) % 1.32/1.59 (assume @p774 (forall @t131 (=> @t840 (= @t900 @t898)))) % 1.32/1.59 (assume @p775 (forall @t131 (=> @t840 (= @t898 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t892 @t890) @t129))))) % 1.32/1.59 (assume @p776 (forall @t131 (=> @t840 (= @t898 @t899)))) % 1.32/1.59 (assume @p777 (forall @t131 (=> @t840 (= @t898 @t900)))) % 1.32/1.59 (assume @p778 (forall @t368 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t415 @t43) @t889)))) % 1.32/1.59 (assume @p779 (forall @t102 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t411 @t43) @t889)))) % 1.32/1.59 (assume @p780 (forall @t897 (=> @t902 (=> @t896 (=> @t895 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t453 @t464) @t129))))))) % 1.32/1.59 (assume @p781 (forall @t131 (=> @t902 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t892 @t890) @t129))))) % 1.32/1.59 (assume @p782 (forall @t131 (=> @t902 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t892 @t43) @t129))))) % 1.32/1.59 (assume @p783 (forall @t131 (=> @t902 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t21 @t890) @t129))))) % 1.32/1.59 (assume @p784 (forall @t102 (=> @t902 (= @t903 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t889) @t43))))) % 1.32/1.59 (assume @p785 (forall (@list @t453 @t43 @t21 @t16) (=> @t902 (=> (= @t889 (tptp.c_Divides_Odiv__class_Omod @t16 @t453 @t43)) (= @t903 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t453) @t43)))))) % 1.32/1.59 (assume @p786 (forall (@list @t250 @t110 @t257 @t16) (=> @t840 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t257 @t110) (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t257 (tptp.c_Divides_Odiv__class_Omod @t16 @t250 @t110)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t257 @t250)))))) % 1.32/1.59 (assume @p787 (forall @t143 (=> @t840 (=> @t904 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t889 @t129) @t892))))) % 1.32/1.59 (assume @p788 (forall @t908 (=> @t840 (=> @t907 (=> @t906 @t905))))) % 1.32/1.59 (assume @p789 (forall @t908 (=> @t840 (=> @t905 (=> @t906 @t907))))) % 1.32/1.59 (assume @p790 (forall @t368 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t191 @t43) @t30)))) % 1.32/1.59 (assume @p791 (forall @t102 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t99 @t43) @t30)))) % 1.32/1.59 (assume @p792 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t21 @t19) @t30)))) % 1.32/1.59 (assume @p793 (forall @t131 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t909 @t43) @t889)))) % 1.32/1.59 (assume @p794 (forall @t193 (=> @t840 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t910 @t43) @t889)))) % 1.32/1.59 (assume @p795 (forall (@list @t122 @t124 @t125) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t125 @t124) @t911))) % 1.32/1.59 (assume @p796 (forall @t304 (=> @t734 @t911))) % 1.32/1.59 (assume @p797 (forall @t299 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t125 @t122) @t313 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t122 @t125)))) % 1.32/1.59 (assume @p798 (forall @t204 (=> @t726 (= @t912 (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t381))))) % 1.32/1.59 (assume @p799 (forall @t37 (=> @t726 (= (tptp.c_Polynomial_Opos__poly @t16 @t36) (or @t912 (and @t33 @t737)))))) % 1.32/1.59 (assume @p800 (forall @t378 (=> @t726 (=> @t914 (=> @t913 (tptp.c_Polynomial_Opos__poly @t16 @t408)))))) % 1.32/1.59 (assume @p801 (forall @t378 (=> @t726 (=> @t914 (=> @t913 (tptp.c_Polynomial_Opos__poly @t16 @t216)))))) % 1.32/1.59 (assume @p802 (forall @t340 (=> @t726 (= (tptp.c_Orderings_Oord__class_Oless @t17 @t149 @t144) (tptp.c_Polynomial_Opos__poly @t16 (tptp.c_Groups_Ominus__class_Ominus @t17 @t144 @t149)))))) % 1.32/1.59 (assume @p803 (forall @t28 (=> @t726 (not (tptp.c_Polynomial_Opos__poly @t16 @t18))))) % 1.32/1.59 (assume @p804 (forall @t136 (=> @t726 (or @t382 @t914 (tptp.c_Polynomial_Opos__poly @t16 @t327))))) % 1.32/1.59 (assume @p805 (forall (@list @t197 @t84) (=> @t792 (=> @t877 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t915 @t84) @t197) (tptp.hAPP @t915 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t404))))))) % 1.32/1.59 (assume @p806 (forall (@list @t125 @t124 @t194) (=> @t917 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 @t916))))) % 1.32/1.59 (assume @p807 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t30 @t21) @t30)))) % 1.32/1.59 (assume @p808 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t21 @t30) @t30)))) % 1.32/1.59 (assume @p809 (forall @t865 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t531 @t43) @t531))) % 1.32/1.59 (assume @p810 (forall @t308 (= @t919 @t918))) % 1.32/1.59 (assume @p811 (forall @t308 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t862 @t861) @t920))) % 1.32/1.59 (assume @p812 (forall (@list @t125 @t122) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t122 @t125) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t921) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t125) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t122)))))) % 1.32/1.59 (assume @p813 (forall @t80 (=> @t840 (=> @t205 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t34 @t70) (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t922 (tptp.c_Divides_Odiv__class_Odiv @t16 @t70 @t34)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t57 @t70))))))) % 1.32/1.59 (assume @p814 (forall (@list @t15 @t125 @t122 @t16) (=> @t840 (=> @t924 (= (tptp.hAPP (tptp.hAPP @t39 @t923) @t15) (tptp.c_Divides_Odiv__class_Odiv @t16 @t201 @t200)))))) % 1.32/1.59 (assume @p815 (forall @t750 (=> @t902 (=> @t924 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t125 @t628) @t925))))) % 1.32/1.59 (assume @p816 (forall @t750 (=> @t902 (=> @t924 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t354 @t122) @t925))))) % 1.32/1.59 (assume @p817 (forall @t505 (=> @t840 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t124 @t125) (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t124 @t122) (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t451 @t124) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Divides_Odiv__class_Odiv @t16 @t125 @t124) (tptp.c_Divides_Odiv__class_Odiv @t16 @t122 @t124)))))))) % 1.32/1.59 (assume @p818 (forall (@list @t121 @t124 @t125 @t122 @t16) (=> @t840 (=> @t924 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t124 @t121) (= (tptp.hAPP (tptp.hAPP @t73 @t923) (tptp.c_Divides_Odiv__class_Odiv @t16 @t121 @t124)) (tptp.c_Divides_Odiv__class_Odiv @t16 (tptp.hAPP @t126 @t121) @t495))))))) % 1.32/1.59 (assume @p819 (forall @t131 (=> @t840 (=> @t190 (= (tptp.hAPP @t927 @t129) (tptp.c_Divides_Odiv__class_Odiv @t16 @t158 @t21)))))) % 1.32/1.59 (assume @p820 (forall @t102 (=> @t840 (=> @t190 (= (tptp.hAPP @t927 @t21) @t43))))) % 1.32/1.59 (assume @p821 (forall @t143 (=> @t840 (=> @t904 (= (tptp.hAPP @t98 (tptp.c_Divides_Odiv__class_Odiv @t16 @t43 @t129)) (tptp.c_Divides_Odiv__class_Odiv @t16 @t99 @t129)))))) % 1.32/1.59 (assume @p822 (forall @t102 (=> @t840 (=> @t190 (= (tptp.hAPP @t98 @t926) @t43))))) % 1.32/1.59 (assume @p823 (forall @t55 (=> @t840 (=> @t52 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t21 @t21) @t19))))) % 1.32/1.59 (assume @p824 (forall @t592 (=> @t878 (= @t929 @t84)))) % 1.32/1.59 (assume @p825 (forall @t142 (=> @t840 @t932))) % 1.32/1.59 (assume @p826 (forall @t142 (=> @t840 (=> @t141 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t139 @t158) @t930))))) % 1.32/1.59 (assume @p827 (forall @t368 (=> @t840 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t191 @t43) @t21))))) % 1.32/1.59 (assume @p828 (forall @t368 (=> @t840 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t99 @t43) @t21))))) % 1.32/1.59 (assume @p829 (forall @t142 (=> @t840 (and (=> @t140 (= @t931 @t30)) @t932)))) % 1.32/1.59 (assume @p830 (forall @t55 (=> @t840 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t21 @t19) @t21)))) % 1.32/1.59 (assume @p831 (forall @t866 (=> (not (= @t21 @t531)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t21) @t570)))) % 1.32/1.59 (assume @p832 (forall @t368 (=> @t685 (=> @t48 @t935)))) % 1.32/1.59 (assume @p833 (forall @t55 (=> @t685 (=> @t52 @t936)))) % 1.32/1.59 (assume @p834 (forall @t25 (=> @t726 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t379) @t937)))) % 1.32/1.59 (assume @p835 (forall @t247 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t528 @t84) @t15)) @t570) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t84) @t570)))) % 1.32/1.59 (assume @p836 (forall (@list @t149) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t149 @t570) (= @t938 @t570)))) % 1.32/1.59 (assume @p837 (forall @t102 (=> @t940 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t939) @t939)))) % 1.32/1.59 (assume @p838 (forall @t102 (=> @t940 (= @t942 @t941)))) % 1.32/1.59 (assume @p839 (forall @t28 (=> @t726 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t19) @t19)))) % 1.32/1.59 (assume @p840 (forall @t308 (=> @t513 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t43 @t21) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t21) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t43)))))) % 1.32/1.59 (assume @p841 (forall @t55 (=> @t940 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t934) @t934)))) % 1.32/1.59 (assume @p842 (forall @t102 (=> @t681 @t935))) % 1.32/1.59 (assume @p843 (forall @t25 (=> @t726 (= @t937 (tptp.hAPP (tptp.hAPP @t39 @t934) @t15))))) % 1.32/1.59 (assume @p844 (forall @t944 (=> @t726 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t250 (tptp.c_Groups_Oabs__class_Oabs @t16 @t257)) @t943)))) % 1.32/1.59 (assume @p845 (forall @t944 (=> @t726 (= (tptp.c_Rings_Odvd__class_Odvd @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t250) @t257) @t943)))) % 1.32/1.59 (assume @p846 (forall (@list @t197 @t686 @t16) (=> @t726 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t686) @t945) (tptp.c_Rings_Odvd__class_Odvd @t16 @t686 @t197))))) % 1.32/1.59 (assume @p847 (forall @t55 (=> @t940 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t279) @t934)))) % 1.32/1.59 (assume @p848 (forall @t55 (=> @t726 (= (tptp.hAPP @t946 @t934) @t771)))) % 1.32/1.59 (assume @p849 (forall @t102 (=> @t726 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t99) @t947)))) % 1.32/1.59 (assume @p850 (forall @t346 (=> @t940 (= (= @t948 @t30) @t35)))) % 1.32/1.59 (assume @p851 (forall @t28 (=> @t940 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t30) @t30)))) % 1.32/1.59 (assume @p852 (forall @t55 (=> @t681 @t936))) % 1.32/1.59 (assume @p853 (forall @t103 (=> @t726 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t948 @t57) (and @t696 @t704))))) % 1.32/1.59 (assume @p854 (forall @t656 (=> @t726 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t934 @t129) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t933 @t194) (tptp.c_Orderings_Oord__class_Oless @t16 @t947 @t649)))))) % 1.32/1.59 (assume @p855 (forall @t55 (=> @t940 (=> @t684 @t949)))) % 1.32/1.59 (assume @p856 (forall @t346 (=> @t940 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t948) @t632)))) % 1.32/1.59 (assume @p857 (forall @t55 (=> @t940 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t934 @t30))))) % 1.32/1.59 (assume @p858 (forall @t308 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t531) (=> @t867 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t920 @t531))))) % 1.32/1.59 (assume @p859 (forall @t951 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t531) (= @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t34))))) % 1.32/1.59 (assume @p860 (forall @t951 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t57) (= @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t34 @t531))))) % 1.32/1.59 (assume @p861 (forall @t308 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t860 @t43) @t531))) % 1.32/1.59 (assume @p862 (forall @t102 (=> @t840 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t889 @t43) @t30)))) % 1.32/1.59 (assume @p863 (forall @t866 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t531) @t531) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t531) @t21)))) % 1.32/1.59 (assume @p864 (forall @t312 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t43) @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t129) @t952) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t129) @t872) @t129))))) % 1.32/1.59 (assume @p865 (forall @t55 (=> (tptp.class_Groups_Oabs__if @t16) (and @t953 (=> (not @t741) @t949))))) % 1.32/1.59 (assume @p866 (forall @t55 (=> @t940 @t953))) % 1.32/1.59 (assume @p867 (forall @t750 (=> @t681 (=> @t786 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t954 @t122) (tptp.c_Groups_Oabs__class_Oabs @t16 @t128)))))) % 1.32/1.59 (assume @p868 (forall (@list @t197 @t125) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t125) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t570 @t197) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t125 @t197) @t125))))) % 1.32/1.59 (assume @p869 (forall @t958 (=> @t957 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t956) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t920 @t129))))) % 1.32/1.59 (assume @p870 (forall @t887 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t148) @t570) (= @t148 @t531)))) % 1.32/1.59 (assume @p871 (forall (@list @t547) (and (=> @t960 (= @t959 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t547))) (=> (not @t960) (= @t959 @t547))))) % 1.32/1.59 (assume @p872 (forall @t308 (= @t21 @t961))) % 1.32/1.59 (assume @p873 (forall @t312 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t870 @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t869 @t952) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t873 @t129))))) % 1.32/1.59 (assume @p874 (forall (@list @t197 @t21 @t43) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t961 @t197) @t962))) % 1.32/1.59 (assume @p875 (forall (@list @t197 @t43 @t21) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t528 @t920) @t43) @t860) @t197) @t962))) % 1.32/1.59 (assume @p876 (forall @t247 (= @t858 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t84 (tptp.hAPP (tptp.hAPP @t528 @t928) @t15))))) % 1.32/1.59 (assume @p877 (forall @t592 (= @t929 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t84 @t858)))) % 1.32/1.59 (assume @p878 (forall @t417 (=> @t840 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t910 @t43) @t963))))) % 1.32/1.59 (assume @p879 (forall @t417 (=> @t840 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t909 @t43) @t963))))) % 1.32/1.59 (assume @p880 (forall @t368 (=> @t840 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t415 @t43) @t964))))) % 1.32/1.59 (assume @p881 (forall @t368 (=> @t840 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t16 @t411 @t43) @t964))))) % 1.32/1.59 (assume @p882 (forall @t80 (=> @t840 (=> @t632 (=> @t205 (= (= @t922 @t70) (= @t57 @t212))))))) % 1.32/1.59 (assume @p883 (forall (@list @t457 @t57 @t70 @t34 @t16) (=> @t840 (=> @t632 (=> @t77 (=> @t205 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t70 @t457) (= (= @t922 (tptp.c_Divides_Odiv__class_Odiv @t16 @t457 @t70)) (= @t208 @t458))))))))) % 1.32/1.59 (assume @p884 (forall @t102 (=> @t840 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t889 @t965) @t21)))) % 1.32/1.59 (assume @p885 (forall @t368 (=> @t840 (= @t966 @t21)))) % 1.32/1.59 (assume @p886 (forall @t102 (=> @t840 (= @t967 @t21)))) % 1.32/1.59 (assume @p887 (forall @t417 (=> @t840 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t966 @t129) @t418)))) % 1.32/1.59 (assume @p888 (forall @t131 (=> @t840 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t967 @t129) @t418)))) % 1.32/1.59 (assume @p889 (forall @t255 (=> (not (= @t250 @t531)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t888 @t250) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t110) @t570))))) % 1.32/1.59 (assume @p890 (forall @t804 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 (tptp.hAPP (tptp.hAPP @t512 @t938) @t110)) (or (not (= @t149 @t531)) @t111)))) % 1.32/1.59 (assume @p891 (forall @t958 (=> @t957 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t956) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t955 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t920 @t129)) @t860))))) % 1.32/1.59 (assume @p892 (forall @t868 (=> @t970 (and (=> @t875 (= @t918 @t968)) (=> @t876 (= @t918 @t969)))))) % 1.32/1.59 (assume @p893 (forall @t868 (=> @t970 (and (=> @t875 (= @t919 @t968)) (=> @t876 (= @t919 @t969)))))) % 1.32/1.59 (assume @p894 (forall (@list @t124 @t125 @t194) (=> @t917 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 @t916) @t124)))) % 1.32/1.59 (assume @p895 (forall (@list @t666 @t34 @t149 @t16) (=> @t726 (= (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t149 @t34)) @t666) (and (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t34 @t666) @t149) (tptp.c_Orderings_Oord__class_Oless @t16 @t149 (tptp.c_Groups_Oplus__class_Oplus @t16 @t34 @t666))))))) % 1.32/1.59 (assume @p896 (forall @t170 (=> @t726 (and (=> @t399 (= @t971 @t18)) (=> (not @t399) (and (=> @t972 (= @t971 @t26)) (=> (not @t972) (= @t971 (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t26))))))))) % 1.32/1.59 (assume @p897 (forall @t312 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t21 @t880) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t973 @t129)))) % 1.32/1.59 (assume @p898 (forall @t276 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t84 @t404) @t84))) % 1.32/1.59 (assume @p899 (forall @t543 (and (=> @t977 (= @t975 @t12)) (=> (not @t977) @t976)))) % 1.32/1.59 (assume @p900 (forall @t688 (=> @t49 (=> @t655 (= @t978 @t137))))) % 1.32/1.59 (assume @p901 (forall @t705 (=> @t49 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t668 @t122) (tptp.c_Polynomial_Osmult @t16 @t21 @t978))))) % 1.32/1.59 (assume @p902 (forall @t463 (=> @t49 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t125 @t672) (tptp.c_Divides_Odiv__class_Odiv @t17 @t978 @t124))))) % 1.32/1.59 (assume @p903 (forall @t357 (=> @t49 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t406 @t122) @t979)))) % 1.32/1.59 (assume @p904 (forall @t357 (=> @t49 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t125 @t405) @t979)))) % 1.32/1.59 (assume @p905 (forall (@list @t197 @t16) (=> @t726 (= @t945 (tptp.hAPP (tptp.hAPP @t73 @t197) (tptp.c_Groups_Osgn__class_Osgn @t16 @t197)))))) % 1.32/1.59 (assume @p906 (forall @t170 (=> @t726 (= (tptp.hAPP @t981 @t954) @t125)))) % 1.32/1.59 (assume @p907 (forall @t357 (=> @t49 (tptp.c_Polynomial_Opdivmod__rel @t16 @t125 @t122 @t978 @t673)))) % 1.32/1.59 (assume @p908 (forall @t346 (=> @t726 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t982 @t30) @t738)))) % 1.32/1.59 (assume @p909 (forall @t346 (=> @t726 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t982) @t737)))) % 1.32/1.59 (assume @p910 (forall @t247 @t983)) % 1.32/1.59 (assume @p911 (forall @t312 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t43) @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t987 @t986) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t985 @t984) @t129))))) % 1.32/1.59 (assume @p912 (forall @t55 (=> @t726 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t988) @t988)))) % 1.32/1.59 (assume @p913 (forall @t170 (=> @t989 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t354) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t980))))) % 1.32/1.59 (assume @p914 (forall @t28 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t16) (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t19) @t19)))) % 1.32/1.59 (assume @p915 (forall @t102 (=> @t726 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t99) (tptp.hAPP (tptp.hAPP @t73 @t988) (tptp.c_Groups_Osgn__class_Osgn @t16 @t43)))))) % 1.32/1.59 (assume @p916 (forall @t357 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t16) (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t179) (tptp.hAPP @t981 (tptp.c_Groups_Osgn__class_Osgn @t16 @t122)))))) % 1.32/1.59 (assume @p917 (forall @t346 (=> @t726 (= (= @t982 @t30) @t35)))) % 1.32/1.59 (assume @p918 (forall @t222 (=> @t989 (= (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t149) @t30) @t221)))) % 1.32/1.59 (assume @p919 (forall @t28 (=> @t989 @t990))) % 1.32/1.59 (assume @p920 (forall @t28 (=> @t991 @t990))) % 1.32/1.59 (assume @p921 (forall @t592 (=> @t706 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t88 @t15) @t84)))) % 1.32/1.59 (assume @p922 (forall @t592 (=> @t706 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t275 @t15) @t84)))) % 1.32/1.59 (assume @p923 (forall @t543 (=> @t799 @t976))) % 1.32/1.59 (assume @p924 (forall @t592 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t15) (=> @t792 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t974 @t84))))) % 1.32/1.59 (assume @p925 (forall @t312 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t992 @t43) @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t992 @t986) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t992 @t984) @t129))))) % 1.32/1.59 (assume @p926 (forall @t312 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t880) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t879 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t973 @t129)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t43))))) % 1.32/1.59 (assume @p927 (forall @t247 (= @t994 @t993))) % 1.32/1.59 (assume @p928 (forall @t592 (= (tptp.hAPP @t256 @t974) @t993))) % 1.32/1.59 (assume @p929 (forall @t247 (= @t842 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t994)))) % 1.32/1.59 (assume @p930 (forall @t705 (=> @t49 (=> @t52 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t125 @t755) (tptp.c_Polynomial_Osmult @t16 @t682 @t978)))))) % 1.32/1.59 (assume @p931 (forall @t357 (=> @t49 (=> @t729 (= @t978 @t18))))) % 1.32/1.59 (assume @p932 (forall @t346 (=> @t726 (= (= @t982 @t19) @t737)))) % 1.32/1.59 (assume @p933 (forall @t55 (=> @t726 (=> @t684 (= @t988 @t19))))) % 1.32/1.59 (assume @p934 (forall @t463 (=> @t49 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t125 @t672) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP @t670 (tptp.c_Divides_Odiv__class_Omod @t17 @t978 @t124)) @t673))))) % 1.32/1.59 (assume @p935 (forall @t592 (=> @t706 @t995))) % 1.32/1.59 (assume @p936 (forall @t592 (=> @t706 (and @t983 @t995)))) % 1.32/1.59 (assume @p937 (forall @t886 (= (tptp.hBOOL (tptp.hAPP @t517 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t110 @t257))) (and (=> @t258 @t834) (=> @t885 (forall @t884 (=> @t883 (=> @t882 (tptp.hBOOL @t996))))))))) % 1.32/1.59 (assume @p938 (forall @t170 (=> @t726 (and (=> @t998 (= @t997 @t406)) (=> (not @t998) (= @t997 @t125)))))) % 1.32/1.59 (assume @p939 (forall (@list @t129 @t21) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t21) @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t987 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t404 @t129)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t985 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t404 @t129)) @t129))))) % 1.32/1.59 (assume @p940 (forall @t170 (=> @t991 (and (=> @t999 (= @t980 @t30)) (=> (not @t999) (and (=> @t787 (= @t980 @t19)) (=> (not @t787) (= @t980 @t366)))))))) % 1.32/1.59 (assume @p941 (forall @t346 (=> @t726 (= (= @t982 @t366) @t738)))) % 1.32/1.59 (assume @p942 (forall @t55 (=> @t726 (=> @t741 (= @t988 @t366))))) % 1.32/1.59 (assume @p943 (forall @t1003 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t531 @t257) (= @t1002 (forall @t884 (=> (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t531 @t791) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t791 @t257) @t1001) @t1000)))))) % 1.32/1.59 (assume @p944 (forall @t1003 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t257 @t531) (= @t1002 (forall @t884 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t257 @t791) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t791 @t531) @t1001) @t1000)))))) % 1.32/1.59 (assume @p945 (forall @t299 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t531 @t125) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t531 @t122) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t531 @t921))))) % 1.32/1.59 (assume @p946 (forall @t102 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t411) @t939)))) % 1.32/1.59 (assume @p947 (forall @t102 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1004 @t941)))) % 1.32/1.59 (assume @p948 (forall @t102 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1004 @t942)))) % 1.32/1.59 (assume @p949 (forall @t102 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t1004) @t942)))) % 1.32/1.59 (assume @p950 (forall @t102 (=> @t940 (=> @t1006 @t1005)))) % 1.32/1.59 (assume @p951 (forall @t55 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t21 @t934)))) % 1.32/1.59 (assume @p952 (forall @t55 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t279 @t934)))) % 1.32/1.59 (assume @p953 (forall @t103 (=> @t940 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t948 @t57) (and @t1007 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t343 @t57)))))) % 1.32/1.59 (assume @p954 (forall @t102 (=> @t940 (=> @t1005 (=> @t1008 @t1006))))) % 1.32/1.59 (assume @p955 (forall @t102 (=> @t940 (=> @t1006 @t1008)))) % 1.32/1.59 (assume @p956 (forall @t55 (=> @t940 (=> @t1009 @t949)))) % 1.32/1.59 (assume @p957 (forall @t346 (=> @t940 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t948 @t30) @t35)))) % 1.32/1.59 (assume @p958 (forall @t55 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t934)))) % 1.32/1.59 (assume @p959 (forall @t160 (=> @t523 (=> @t769 (= @t1010 @t1007))))) % 1.32/1.59 (assume @p960 (forall @t160 (=> @t523 (=> @t767 (= @t1010 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t57 @t34)))))) % 1.32/1.59 (assume @p961 (forall @t196 (=> @t761 (=> @t699 (=> @t702 (=> @t764 @t1013)))))) % 1.32/1.59 (assume @p962 (forall @t196 (=> @t761 (=> @t699 (=> @t702 (=> @t1009 @t1013)))))) % 1.32/1.59 (assume @p963 (forall @t196 (=> @t761 (=> @t699 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t129 @t194) (=> @t1009 (=> @t759 @t1011))))))) % 1.32/1.59 (assume @p964 (forall @t196 (=> @t761 (=> @t1005 (=> @t702 (=> @t684 @t1013)))))) % 1.32/1.59 (assume @p965 (forall @t193 (=> @t1016 @t1015))) % 1.32/1.59 (assume @p966 (forall @t193 (=> @t761 @t1015))) % 1.32/1.59 (assume @p967 (forall @t142 (=> @t1016 @t1017))) % 1.32/1.59 (assume @p968 (forall @t142 (=> @t761 @t1017))) % 1.32/1.59 (assume @p969 (forall @t193 (=> @t761 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t139 @t158) @t1018)))) % 1.32/1.59 (assume @p970 (forall @t142 (=> @t761 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t156 @t155) @t1018)))) % 1.32/1.59 (assume @p971 (forall @t102 (=> @t776 (=> @t684 (=> @t1019 @t774))))) % 1.32/1.59 (assume @p972 (forall @t102 (=> @t776 (=> @t1009 @t775)))) % 1.32/1.59 (assume @p973 (forall @t131 (=> @t776 (=> @t684 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t43 @t129) @t779))))) % 1.32/1.59 (assume @p974 (forall @t131 (=> @t776 (=> @t1009 @t780)))) % 1.32/1.59 (assume @p975 (forall @t102 (=> @t776 (=> @t741 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t43 @t30) @t777))))) % 1.32/1.59 (assume @p976 (forall @t102 (=> @t776 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t21 @t30) @t778)))) % 1.32/1.59 (assume @p977 (forall @t357 (=> @t772 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t817)))) % 1.32/1.59 (assume @p978 (forall @t340 (=> @t523 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t522 @t30) @t521)))) % 1.32/1.59 (assume @p979 (forall @t357 (=> @t726 (=> @t1022 (=> @t1021 (=> @t1020 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t179 @t125))))))) % 1.32/1.59 (assume @p980 (forall @t357 (=> @t726 (=> @t1022 (=> @t1021 (=> @t1020 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.hAPP @t123 @t125) @t125))))))) % 1.32/1.59 (assume @p981 (forall @t413 (=> @t693 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t41 @t44) (=> @t1019 @t699))))) % 1.32/1.59 (assume @p982 (forall @t625 (=> @t819 (= @t1023 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t70 @t626))))) % 1.32/1.59 (assume @p983 (forall @t625 (=> @t819 (= @t1023 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t621 @t457))))) % 1.32/1.59 (assume @p984 (forall @t357 (=> @t685 (=> @t1022 (=> @t786 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t30 @t128)))))) % 1.32/1.59 (assume @p985 (forall @t357 (=> @t685 (=> @t1022 (=> @t783 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t128 @t30)))))) % 1.32/1.59 (assume @p986 (forall (@list @t124 @t121 @t122 @t125 @t16) (=> @t685 (=> @t787 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t125 @t122) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t30 @t121) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t121 @t124) (tptp.c_Orderings_Oord__class_Oless @t16 @t504 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t122 @t121))))))))) % 1.32/1.59 (assume @p987 (forall @t1027 (=> @t1026 (tptp.class_Groups_Ocancel__comm__monoid__add @t1025)))) % 1.32/1.59 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p991 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p992 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p993 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p994 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p995 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p996 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p997 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p998 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p999 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1000 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1001 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1002 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1003 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1004 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1005 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1006 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1007 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1008 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1009 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1010 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1011 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1012 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1013 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1014 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1015 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1016 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1017 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1018 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1019 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1020 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1021 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1022 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1023 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1024 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1025 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1026 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1027 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1028 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1029 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1030 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1031 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1032 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1033 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1034 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1035 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1036 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1037 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1038 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1039 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.32/1.59 (assume @p1040 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1041 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1042 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1043 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1044 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1045 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1046 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1047 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1048 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1049 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1050 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1051 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1052 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1053 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1054 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1055 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1056 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1057 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1059 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1060 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1061 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1062 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1063 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1064 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1065 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1066 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1067 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1068 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.32/1.59 (assume @p1069 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1070 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1071 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1072 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1073 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1074 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1075 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1076 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1077 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1078 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1079 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1080 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1081 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1082 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1083 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1084 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1085 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1086 @t1028) % 1.32/1.59 (assume @p1087 @t1029) % 1.32/1.59 (assume @p1088 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1089 @t1030) % 1.32/1.59 (assume @p1090 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1091 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1092 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1093 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1094 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1095 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1096 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1097 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1098 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1099 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1100 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1101 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1102 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1103 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1104 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1105 @t1031) % 1.32/1.59 (assume @p1106 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1107 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1108 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1109 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (assume @p1110 (forall @t1027 (=> @t1032 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1025)))) % 1.32/1.59 (assume @p1111 (forall @t1027 (=> @t1033 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1025)))) % 1.32/1.59 (assume @p1112 (forall @t1027 (=> @t1033 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1025)))) % 1.32/1.59 (assume @p1113 (forall @t1027 (=> @t1033 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1025)))) % 1.32/1.59 (assume @p1114 (forall @t1027 (=> @t1033 (tptp.class_Rings_Olinordered__semiring__strict @t1025)))) % 1.32/1.59 (assume @p1115 (forall @t1027 (=> @t1033 (tptp.class_Groups_Oordered__ab__group__add__abs @t1025)))) % 1.32/1.59 (assume @p1116 (forall @t1027 (=> @t1033 (tptp.class_Groups_Oordered__comm__monoid__add @t1025)))) % 1.32/1.59 (assume @p1117 (forall @t1027 (=> @t1033 (tptp.class_Groups_Olinordered__ab__group__add @t1025)))) % 1.32/1.59 (assume @p1118 (forall @t1027 (=> @t1026 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1025)))) % 1.32/1.59 (assume @p1119 (forall @t1027 (=> @t1032 (tptp.class_Rings_Oring__1__no__zero__divisors @t1025)))) % 1.32/1.59 (assume @p1120 (forall @t1027 (=> @t1033 (tptp.class_Rings_Olinordered__ring__strict @t1025)))) % 1.32/1.59 (assume @p1121 (forall @t1027 (=> @t1032 (tptp.class_Rings_Oring__no__zero__divisors @t1025)))) % 1.32/1.59 (assume @p1122 (forall @t1027 (=> @t1033 (tptp.class_Groups_Oordered__ab__group__add @t1025)))) % 1.32/1.59 (assume @p1123 (forall @t1027 (=> @t1026 (tptp.class_Groups_Ocancel__semigroup__add @t1025)))) % 1.32/1.59 (assume @p1124 (forall @t1027 (=> @t1033 (tptp.class_Rings_Olinordered__semiring @t1025)))) % 1.32/1.59 (assume @p1125 (forall @t1027 (=> @t1033 (tptp.class_Rings_Olinordered__semidom @t1025)))) % 1.32/1.59 (assume @p1126 (forall @t1027 (=> @t1034 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@p1283 :rule bool-impl-elim :args (@t135 @t553)) % 1.32/1.59 (step @p1284 :rule cong :premises (@p1283) :args (@t554)) % 1.32/1.59 (step @p1285 :rule eq_resolve :premises (@p352 @p1284)) % 1.32/1.59 (step @p1286 :rule instantiate :premises (@p1285) :args ((@list @t12 @t1045 @t12 @t1050 tptp.tc_Complex_Ocomplex))) % 1.32/1.59 (step @p1287 :rule cnf_or_pos :args (@t1113)) % 1.32/1.59 (step @p1288 :rule reordering :premises (@p1287) :args ((or @t1112 @t1111 (not @t1113)))) % 1.32/1.59 (step @p1289 :rule chain_m_resolution :premises (@p1288 @p1087 @p1286) :args (@t1111 @t1062 (@list @t1029 @t1113))) % 1.32/1.59 (step @p1290 :rule aci_norm :args ((= (or @t1115 (or @t51 @t1114)) (or @t1115 @t51 @t1114)))) % 1.32/1.59 (step @p1291 :rule refl :args (@t1114)) % 1.32/1.59 (step @p1292 :rule bool-double-not-elim :args (@t51)) % 1.32/1.59 (step @p1293 :rule nary_cong :premises (@p1292 @p1291) :args ((or (not @t52) @t1114))) % 1.32/1.59 (step @p1294 :rule bool-impl-elim :args (@t52 @t1114)) % 1.32/1.59 (step @p1295 :rule trans :premises (@p1294 @p1293)) % 1.32/1.59 (step @p1296 :rule refl :args (@t1115)) % 1.32/1.59 (step @p1297 :rule nary_cong :premises (@p1296 @p1295) :args ((or @t1115 @t1116))) % 1.32/1.59 (step @p1298 :rule trans :premises (@p1297 @p1290)) % 1.32/1.59 (step @p1299 :rule bool-impl-elim :args (@t56 @t1116)) % 1.32/1.59 (step @p1300 :rule trans :premises (@p1299 @p1298)) % 1.32/1.59 (step @p1301 :rule cong :premises (@p1300) :args ((forall @t55 (=> @t56 @t1116)))) % 1.32/1.59 (step @p1302 :rule eq-symm :args (@t813 @t19)) % 1.32/1.59 (step @p1303 :rule refl :args (@t52)) % 1.32/1.59 (step @p1304 :rule cong :premises (@p1303 @p1302) :args (@t814)) % 1.32/1.59 (step @p1305 :rule cong :premises (@p1241 @p1304) :args (@t815)) % 1.32/1.59 (step @p1306 :rule cong :premises (@p1305) :args (@t816)) % 1.32/1.59 (step @p1307 :rule trans :premises (@p1306 @p1301)) % 1.32/1.59 (step @p1308 :rule eq_resolve :premises (@p667 @p1307)) % 1.32/1.59 (step @p1309 :rule instantiate :premises (@p1308) :args (@t1080)) % 1.32/1.59 (step @p1310 :rule cnf_or_pos :args (@t1120)) % 1.32/1.59 (step @p1311 :rule reordering :premises (@p1310) :args ((or @t9 @t1089 @t1119 (not @t1120)))) % 1.32/1.59 (step @p1312 :rule chain_m_resolution :premises (@p1311 @p3 @p1089 @p1309) :args (@t1119 (@list true false false) (@list @t9 @t1030 @t1120))) % 1.32/1.59 (assume-push @p1426 @t11) % 1.32/1.59 (assume-push @p1427 @t14) % 1.32/1.59 (assume-push @p1428 @t1052) % 1.32/1.59 (assume-push @p1429 @t1059) % 1.32/1.59 (assume-push @p1430 @t1094) % 1.32/1.59 (assume-push @p1431 @t1066) % 1.32/1.59 (assume-push @p1432 @t1070) % 1.32/1.59 (assume-push @p1433 @t1073) % 1.32/1.59 (assume-push @p1434 @t1077) % 1.32/1.59 (assume-push @p1435 @t1081) % 1.32/1.59 (assume-push @p1436 @t1084) % 1.32/1.59 (assume-push @p1437 @t1088) % 1.32/1.59 (assume-push @p1438 @t1103) % 1.32/1.59 (assume-push @p1439 @t1106) % 1.32/1.59 (assume-push @p1440 @t1122) % 1.32/1.59 (assume-push @p1441 @t1111) % 1.32/1.59 (assume-push @p1442 @t1119) % 1.32/1.59 (step @p1330 :rule symm :premises (@p1237)) % 1.32/1.59 (step @p1331 :rule symm :premises (@p4)) % 1.32/1.59 (step @p1332 :rule symm :premises (@p1233)) % 1.32/1.59 (step @p1333 :rule refl :args (@t12)) % 1.32/1.59 (step @p1334 :rule symm :premises (@p1214)) % 1.32/1.59 (step @p1335 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.32/1.59 (step @p1336 :rule cong :premises (@p1335 @p4) :args (@t1097)) % 1.32/1.59 (step @p1337 :rule symm :premises (@p1179)) % 1.32/1.59 (step @p1338 :rule cong :premises (@p1335 @p1337) :args (@t1075)) % 1.32/1.59 (step @p1339 :rule trans :premises (@p1338 @p1336)) % 1.32/1.59 (step @p1340 :rule cong :premises (@p1339 @p1333) :args (@t1076)) % 1.32/1.59 (step @p1341 :rule trans :premises (@p1222 @p1340 @p1334)) % 1.32/1.59 (step @p1342 :rule cong :premises (@p1335 @p1341 @p1333) :args (@t1108)) % 1.32/1.59 (step @p1343 :rule trans :premises (@p1342 @p1332 @p1331)) % 1.32/1.59 (step @p1344 :rule refl :args (@t1047)) % 1.32/1.59 (step @p1345 :rule cong :premises (@p1344 @p1343) :args (@t1109)) % 1.32/1.59 (step @p1346 :rule cong :premises (@p1345 @p1330) :args (@t1110)) % 1.32/1.59 (step @p1347 :rule symm :premises (@p1289)) % 1.32/1.59 (step @p1348 :rule symm :premises (@p1203)) % 1.32/1.59 (step @p1349 :rule refl :args (tptp.tc_Nat_Onat)) % 1.32/1.59 (step @p1350 :rule cong :premises (@p1349 @p5 @p1348) :args ((tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 @t1065))) % 1.32/1.59 (step @p1351 :rule refl :args (@t13)) % 1.32/1.59 (step @p1352 :rule cong :premises (@p1349 @p1351 @p1203) :args (@t1121)) % 1.32/1.59 (step @p1353 :rule symm :premises (@p5)) % 1.32/1.59 (step @p1354 :rule trans :premises (@p1353 @p1271 @p1352 @p1350)) % 1.32/1.59 (step @p1355 :rule symm :premises (@p1249)) % 1.32/1.59 (step @p1356 :rule symm :premises (@p1222)) % 1.32/1.59 (step @p1357 :rule symm :premises (@p1338)) % 1.32/1.59 (step @p1358 :rule cong :premises (@p1357 @p5) :args (@t1098)) % 1.32/1.59 (step @p1359 :rule trans :premises (@p1358 @p1356)) % 1.32/1.59 (step @p1360 :rule refl :args (@t1100)) % 1.32/1.59 (step @p1361 :rule cong :premises (@p1360 @p1359) :args (@t1101)) % 1.32/1.59 (step @p1362 :rule symm :premises (@p1358)) % 1.32/1.59 (step @p1363 :rule symm :premises (@p1340)) % 1.32/1.59 (step @p1364 :rule trans :premises (@p1214 @p1363 @p1362)) % 1.32/1.59 (step @p1365 :rule cong :premises (@p1360 @p1364) :args (@t1123)) % 1.32/1.59 (step @p1366 :rule trans :premises (@p1365 @p1361)) % 1.32/1.59 (step @p1367 :rule cong :premises (@p1366 @p1355) :args ((tptp.hAPP @t1123 @t1087))) % 1.32/1.59 (step @p1368 :rule symm :premises (@p1218)) % 1.32/1.59 (step @p1369 :rule refl :args (@t1072)) % 1.32/1.59 (step @p1370 :rule cong :premises (@p1369 @p1348) :args (@t1099)) % 1.32/1.59 (step @p1371 :rule trans :premises (@p1370 @p1368 @p1249)) % 1.32/1.59 (step @p1372 :rule symm :premises (@p1365)) % 1.32/1.59 (step @p1373 :rule cong :premises (@p1372 @p1371) :args (@t1102)) % 1.32/1.59 (step @p1374 :rule symm :premises (@p1278)) % 1.32/1.59 (step @p1375 :rule symm :premises (@p1359)) % 1.32/1.59 (step @p1376 :rule symm :premises (@p1371)) % 1.32/1.59 (step @p1377 :rule cong :premises (@p1360 @p1376) :args (@t1117)) % 1.32/1.59 (step @p1378 :rule symm :premises (@p1364)) % 1.32/1.59 (step @p1379 :rule cong :premises (@p1335 @p1378) :args (@t1124)) % 1.32/1.59 (step @p1380 :rule cong :premises (@p1360 @p1379) :args (@t1125)) % 1.32/1.59 (step @p1381 :rule trans :premises (@p1380 @p1377)) % 1.32/1.59 (step @p1382 :rule cong :premises (@p1381 @p1375) :args (@t1126)) % 1.32/1.60 (step @p1383 :rule refl :args (@t1050)) % 1.32/1.60 (step @p1384 :rule symm :premises (@p1380)) % 1.32/1.60 (step @p1385 :rule cong :premises (@p1360 @p1249) :args (@t1127)) % 1.32/1.60 (step @p1386 :rule trans :premises (@p1385 @p1384)) % 1.32/1.60 (step @p1387 :rule cong :premises (@p1386 @p1383) :args ((tptp.hAPP @t1127 @t1050))) % 1.32/1.60 (step @p1388 :rule trans :premises (@p1387 @p1382 @p1374 @p1373 @p1367)) % 1.32/1.60 (step @p1389 :rule symm :premises (@p1387)) % 1.32/1.60 (step @p1390 :rule trans :premises (@p1389 @p1388)) % 1.32/1.60 (step @p1391 :rule cong :premises (@p1335 @p1390 @p1354) :args ((tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex @t1126 @t12))) % 1.32/1.60 (step @p1392 :rule symm :premises (@p1388)) % 1.32/1.60 (step @p1393 :rule symm :premises (@p1341)) % 1.32/1.60 (step @p1394 :rule cong :premises (@p1384 @p1393) :args (@t1118)) % 1.32/1.60 (step @p1395 :rule trans :premises (@p1312 @p1394 @p1382 @p1374 @p1373 @p1367)) % 1.32/1.60 (step @p1396 :rule trans :premises (@p1395 @p1392 @p1387)) % 1.32/1.60 (step @p1397 :rule cong :premises (@p1335 @p1396 @p1333) :args (@t1105)) % 1.32/1.60 (step @p1398 :rule symm :premises (@p1191)) % 1.32/1.60 (step @p1399 :rule symm :premises (@p1267)) % 1.32/1.60 (step @p1400 :rule refl :args (@t174)) % 1.32/1.60 (step @p1401 :rule cong :premises (@p1400 @p5) :args (@t175)) % 1.32/1.60 (step @p1402 :rule trans :premises (@p1401 @p1399 @p1398 @p1282 @p1397 @p1391 @p1347 @p1346)) % 1.32/1.60 (step-pop @p1443 :rule scope :premises (@p1402)) % 1.32/1.60 (step-pop @p1444 :rule scope :premises (@p1443)) % 1.32/1.60 (step-pop @p1445 :rule scope :premises (@p1444)) % 1.32/1.60 (step-pop @p1446 :rule scope :premises (@p1445)) % 1.32/1.60 (step-pop @p1447 :rule scope :premises (@p1446)) % 1.32/1.60 (step-pop @p1448 :rule scope :premises (@p1447)) % 1.32/1.60 (step-pop @p1449 :rule scope :premises (@p1448)) % 1.32/1.60 (step-pop @p1450 :rule scope :premises (@p1449)) % 1.32/1.60 (step-pop @p1451 :rule scope :premises (@p1450)) % 1.32/1.60 (step-pop @p1452 :rule scope :premises (@p1451)) % 1.32/1.60 (step-pop @p1453 :rule scope :premises (@p1452)) % 1.32/1.60 (step-pop @p1454 :rule scope :premises (@p1453)) % 1.32/1.60 (step-pop @p1455 :rule scope :premises (@p1454)) % 1.32/1.60 (step-pop @p1456 :rule scope :premises (@p1455)) % 1.32/1.60 (step-pop @p1457 :rule scope :premises (@p1456)) % 1.32/1.60 (step-pop @p1458 :rule scope :premises (@p1457)) % 1.32/1.60 (step-pop @p1459 :rule scope :premises (@p1458)) % 1.32/1.60 (step @p1403 :rule process_scope :premises (@p1459) :args (@t1048)) % 1.32/1.60 (step @p1421 :rule implies_elim :premises (@p1403)) % 1.32/1.60 (step @p1422 :rule cnf_and_neg :args (@t1128)) % 1.32/1.60 (step @p1423 :rule resolution :premises (@p1422 @p1421) :args (true @t1128)) % 1.32/1.60 (step @p1424 :rule reordering :premises (@p1423) :args ((or @t1048 (not @t11) (not @t14) @t1053 (not @t1059) (not @t1094) (not @t1066) (not @t1070) (not @t1073) (not @t1077) (not @t1081) (not @t1084) (not @t1088) (not @t1103) (not @t1106) (not @t1122) (not @t1111) (not @t1119)))) % 1.32/1.60 (step @p1425 false :rule chain_m_resolution :premises (@p1424 @p1312 @p1289 @p1282 @p1278 @p1271 @p1267 @p1249 @p1237 @p1233 @p1222 @p1218 @p1214 @p1203 @p1191 @p1179 @p1161 @p5 @p4) :args (false (@list false false false false false false false false false false false false false false false true false false) (@list @t1119 @t1111 @t1106 @t1103 @t1122 @t1094 @t1088 @t1084 @t1081 @t1077 @t1073 @t1070 @t1066 @t1059 @t1052 @t1048 @t14 @t11))) % 1.32/1.60 ) % 1.32/1.60 % SZS output end Proof % 1.46/1.60 % cvc5 exiting %------------------------------------------------------------------------------