%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW287+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 0.86s 1.12s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW287+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:43:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.45/0.74 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.12 % SZS status Theorem % 0.86/1.12 % SZS output start Proof % 0.86/1.12 ( % 0.86/1.12 (declare-sort $$unsorted 0) % 0.86/1.12 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.86/1.12 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.v_n____ $$unsorted) % 0.86/1.12 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.86/1.12 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.86/1.12 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.86/1.12 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.v_q $$unsorted) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.v_p $$unsorted) % 0.86/1.12 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 0.86/1.12 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.86/1.12 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.86/1.12 (define @t3 () (@var "B_x" $$unsorted)) % 0.86/1.12 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.86/1.12 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.86/1.12 (define @t6 () (@list @t3)) % 0.86/1.12 (define @t7 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 0.86/1.12 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 0.86/1.12 (define @t9 () (= tptp.v_p @t8)) % 0.86/1.12 (define @t10 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 0.86/1.12 (define @t11 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p)) % 0.86/1.12 (define @t12 () (= @t11 @t10)) % 0.86/1.12 (define @t13 () (not @t12)) % 0.86/1.12 (define @t14 () (tptp.c_Nat_OSuc tptp.v_n____)) % 0.86/1.12 (define @t15 () (= @t11 @t14)) % 0.86/1.12 (define @t16 () (and @t9 (= tptp.v_q @t8))) % 0.86/1.12 (define @t17 () (tptp.c_Power_Opower__class_Opower @t7)) % 0.86/1.12 (define @t18 () (tptp.hAPP @t17 tptp.v_q)) % 0.86/1.12 (define @t19 () (tptp.hAPP @t18 @t11)) % 0.86/1.12 (define @t20 () (tptp.c_Rings_Odvd__class_Odvd @t7)) % 0.86/1.12 (define @t21 () (tptp.hAPP @t20 tptp.v_p)) % 0.86/1.12 (define @t22 () (tptp.hAPP @t21 @t19)) % 0.86/1.12 (define @t23 () (tptp.hBOOL @t22)) % 0.86/1.12 (define @t24 () (or @t23 @t16)) % 0.86/1.12 (define @t25 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.86/1.12 (define @t26 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q)) % 0.86/1.12 (define @t27 () (tptp.hAPP @t26 @t3)) % 0.86/1.12 (define @t28 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)) % 0.86/1.12 (define @t29 () (tptp.hAPP @t28 @t3)) % 0.86/1.12 (define @t30 () (=> (= @t29 @t25) (= @t27 @t25))) % 0.86/1.12 (define @t31 () (forall @t6 @t30)) % 0.86/1.12 (define @t32 () (= @t31 @t24)) % 0.86/1.12 (define @t33 () (@var "V_x_3" $$unsorted)) % 0.86/1.12 (define @t34 () (tptp.hAPP @t26 @t33)) % 0.86/1.12 (define @t35 () (tptp.hAPP @t28 @t33)) % 0.86/1.12 (define @t36 () (=> (= @t35 @t25) (= @t34 @t25))) % 0.86/1.12 (define @t37 () (tptp.hBOOL (tptp.hAPP @t21 (tptp.hAPP @t18 @t14)))) % 0.86/1.12 (define @t38 () (=> @t37 @t36)) % 0.86/1.12 (define @t39 () (@list @t33)) % 0.86/1.12 (define @t40 () (forall @t39 @t38)) % 0.86/1.12 (define @t41 () (=> @t13 @t23)) % 0.86/1.12 (define @t42 () (=> @t31 @t41)) % 0.86/1.12 (define @t43 () (@var "T_a" $$unsorted)) % 0.86/1.12 (define @t44 () (tptp.c_Groups_Ozero__class_Ozero @t43)) % 0.86/1.12 (define @t45 () (@var "V_a" $$unsorted)) % 0.86/1.12 (define @t46 () (tptp.c_Rings_Odvd__class_Odvd @t43)) % 0.86/1.12 (define @t47 () (tptp.hAPP @t46 @t45)) % 0.86/1.12 (define @t48 () (tptp.class_Rings_Ocomm__semiring__1 @t43)) % 0.86/1.12 (define @t49 () (@list @t45 @t43)) % 0.86/1.12 (define @t50 () (@var "V_n" $$unsorted)) % 0.86/1.12 (define @t51 () (@var "V_x" $$unsorted)) % 0.86/1.12 (define @t52 () (@var "V_p" $$unsorted)) % 0.86/1.12 (define @t53 () (tptp.c_Polynomial_Opoly @t43 @t52)) % 0.86/1.12 (define @t54 () (tptp.hAPP @t53 @t51)) % 0.86/1.12 (define @t55 () (tptp.c_Power_Opower__class_Opower @t43)) % 0.86/1.12 (define @t56 () (tptp.tc_Polynomial_Opoly @t43)) % 0.86/1.12 (define @t57 () (tptp.c_Power_Opower__class_Opower @t56)) % 0.86/1.12 (define @t58 () (tptp.hAPP (tptp.hAPP @t57 @t52) @t50)) % 0.86/1.12 (define @t59 () (tptp.c_Groups_Ozero__class_Ozero @t56)) % 0.86/1.12 (define @t60 () (tptp.c_Polynomial_Opoly @t43 @t59)) % 0.86/1.12 (define @t61 () (tptp.class_Rings_Ocomm__semiring__0 @t43)) % 0.86/1.12 (define @t62 () (@list @t51 @t43)) % 0.86/1.12 (define @t63 () (@var "V_pa_2" $$unsorted)) % 0.86/1.12 (define @t64 () (= @t63 @t59)) % 0.86/1.12 (define @t65 () (tptp.c_Polynomial_Opoly @t43 @t63)) % 0.86/1.12 (define @t66 () (tptp.class_Rings_Oidom @t43)) % 0.86/1.12 (define @t67 () (and (tptp.class_Int_Oring__char__0 @t43) @t66)) % 0.86/1.12 (define @t68 () (@list @t63 @t43)) % 0.86/1.12 (define @t69 () (@var "V_y" $$unsorted)) % 0.86/1.12 (define @t70 () (tptp.hAPP @t55 @t69)) % 0.86/1.12 (define @t71 () (tptp.hAPP @t55 @t51)) % 0.86/1.12 (define @t72 () (tptp.hAPP @t71 @t50)) % 0.86/1.12 (define @t73 () (tptp.hAPP @t46 @t72)) % 0.86/1.12 (define @t74 () (tptp.hAPP @t46 @t51)) % 0.86/1.12 (define @t75 () (tptp.hBOOL (tptp.hAPP @t74 @t69))) % 0.86/1.12 (define @t76 () (@var "V_na_2" $$unsorted)) % 0.86/1.12 (define @t77 () (= @t76 @t10)) % 0.86/1.12 (define @t78 () (not @t77)) % 0.86/1.12 (define @t79 () (@var "V_a_2" $$unsorted)) % 0.86/1.12 (define @t80 () (= @t79 @t44)) % 0.86/1.12 (define @t81 () (tptp.hAPP @t55 @t79)) % 0.86/1.12 (define @t82 () (tptp.hAPP @t81 @t76)) % 0.86/1.12 (define @t83 () (tptp.class_Rings_Ozero__neq__one @t43)) % 0.86/1.12 (define @t84 () (tptp.class_Rings_Ono__zero__divisors @t43)) % 0.86/1.12 (define @t85 () (tptp.class_Rings_Omult__zero @t43)) % 0.86/1.12 (define @t86 () (tptp.class_Power_Opower @t43)) % 0.86/1.12 (define @t87 () (@list @t76 @t79 @t43)) % 0.86/1.12 (define @t88 () (tptp.hAPP @t55 @t45)) % 0.86/1.12 (define @t89 () (tptp.hAPP @t88 @t50)) % 0.86/1.12 (define @t90 () (= @t45 @t44)) % 0.86/1.12 (define @t91 () (not @t90)) % 0.86/1.12 (define @t92 () (tptp.class_Rings_Oring__1__no__zero__divisors @t43)) % 0.86/1.12 (define @t93 () (@list @t50 @t45 @t43)) % 0.86/1.12 (define @t94 () (@var "V_q" $$unsorted)) % 0.86/1.12 (define @t95 () (= @t50 @t10)) % 0.86/1.12 (define @t96 () (not @t95)) % 0.86/1.12 (define @t97 () (tptp.c_Nat_OSuc @t10)) % 0.86/1.12 (define @t98 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 0.86/1.12 (define @t99 () (@list @t50)) % 0.86/1.12 (define @t100 () (@var "V_x_2" $$unsorted)) % 0.86/1.12 (define @t101 () (@var "V_m_2" $$unsorted)) % 0.86/1.12 (define @t102 () (= @t101 @t10)) % 0.86/1.12 (define @t103 () (tptp.hAPP @t98 @t100)) % 0.86/1.12 (define @t104 () (tptp.c_Nat_OSuc @t50)) % 0.86/1.12 (define @t105 () (tptp.hAPP @t55 @t44)) % 0.86/1.12 (define @t106 () (tptp.class_Rings_Osemiring__0 @t43)) % 0.86/1.12 (define @t107 () (and @t86 @t106)) % 0.86/1.12 (define @t108 () (@list @t50 @t43)) % 0.86/1.12 (define @t109 () (tptp.class_Groups_Ozero @t43)) % 0.86/1.12 (define @t110 () (@list @t43)) % 0.86/1.12 (define @t111 () (@var "V_c" $$unsorted)) % 0.86/1.12 (define @t112 () (tptp.hBOOL (tptp.hAPP @t47 @t111))) % 0.86/1.12 (define @t113 () (@var "V_b" $$unsorted)) % 0.86/1.12 (define @t114 () (tptp.hAPP @t46 @t113)) % 0.86/1.12 (define @t115 () (tptp.hBOOL (tptp.hAPP @t114 @t111))) % 0.86/1.12 (define @t116 () (tptp.hBOOL (tptp.hAPP @t47 @t113))) % 0.86/1.12 (define @t117 () (@list @t111 @t113 @t45 @t43)) % 0.86/1.12 (define @t118 () (@var "V_qa_2" $$unsorted)) % 0.86/1.12 (define @t119 () (= @t63 @t118)) % 0.86/1.12 (define @t120 () (@list @t118 @t63 @t43)) % 0.86/1.12 (define @t121 () (@var "B_n" $$unsorted)) % 0.86/1.12 (define @t122 () (@list @t121)) % 0.86/1.12 (define @t123 () (@var "V_k" $$unsorted)) % 0.86/1.12 (define @t124 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 0.86/1.12 (define @t125 () (tptp.c_Polynomial_Odegree @t43 @t52)) % 0.86/1.12 (define @t126 () (tptp.c_Nat_OSuc @t125)) % 0.86/1.12 (define @t127 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t43 @t52)) % 0.86/1.12 (define @t128 () (= @t52 @t59)) % 0.86/1.12 (define @t129 () (not @t128)) % 0.86/1.12 (define @t130 () (@list @t52 @t43)) % 0.86/1.12 (define @t131 () (@var "V_m" $$unsorted)) % 0.86/1.12 (define @t132 () (tptp.c_Nat_OSuc @t131)) % 0.86/1.12 (define @t133 () (@list @t131)) % 0.86/1.12 (define @t134 () (@var "V_nat_H" $$unsorted)) % 0.86/1.12 (define @t135 () (@var "V_nat_H_1" $$unsorted)) % 0.86/1.12 (define @t136 () (= @t101 @t97)) % 0.86/1.12 (define @t137 () (tptp.hAPP @t124 @t101)) % 0.86/1.12 (define @t138 () (@list @t101)) % 0.86/1.12 (define @t139 () (tptp.c_Polynomial_Odegree @t43 @t63)) % 0.86/1.12 (define @t140 () (@var "V_c_2" $$unsorted)) % 0.86/1.12 (define @t141 () (@list @t140 @t63 @t43)) % 0.86/1.12 (define @t142 () (tptp.hAPP @t124 @t51)) % 0.86/1.12 (define @t143 () (@list @t51)) % 0.86/1.12 (define @t144 () (@var "V_y_2" $$unsorted)) % 0.86/1.12 (define @t145 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t144) @t100))) % 0.86/1.12 (define @t146 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t100) @t144))) % 0.86/1.12 (define @t147 () (= @t100 @t144)) % 0.86/1.12 (define @t148 () (@list @t144 @t100)) % 0.86/1.12 (define @t149 () (and @t146 (not @t145))) % 0.86/1.12 (define @t150 () (not @t147)) % 0.86/1.12 (define @t151 () (tptp.hAPP @t124 @t113)) % 0.86/1.12 (define @t152 () (tptp.hBOOL (tptp.hAPP @t151 @t45))) % 0.86/1.12 (define @t153 () (tptp.hAPP @t124 @t45)) % 0.86/1.12 (define @t154 () (tptp.hBOOL (tptp.hAPP @t153 @t113))) % 0.86/1.12 (define @t155 () (and @t154 (not @t152))) % 0.86/1.12 (define @t156 () (= @t45 @t113)) % 0.86/1.12 (define @t157 () (not @t156)) % 0.86/1.12 (define @t158 () (@list @t113 @t45)) % 0.86/1.12 (define @t159 () (tptp.hBOOL (tptp.hAPP @t142 @t69))) % 0.86/1.12 (define @t160 () (= @t51 @t69)) % 0.86/1.12 (define @t161 () (@list @t69 @t51)) % 0.86/1.12 (define @t162 () (tptp.hAPP @t124 @t69)) % 0.86/1.12 (define @t163 () (tptp.hBOOL (tptp.hAPP @t162 @t51))) % 0.86/1.12 (define @t164 () (and @t159 (not @t163))) % 0.86/1.12 (define @t165 () (tptp.hBOOL (tptp.hAPP @t153 @t111))) % 0.86/1.12 (define @t166 () (tptp.hBOOL (tptp.hAPP @t151 @t111))) % 0.86/1.12 (define @t167 () (@list @t111 @t113 @t45)) % 0.86/1.12 (define @t168 () (= @t113 @t111)) % 0.86/1.12 (define @t169 () (= @t131 @t50)) % 0.86/1.12 (define @t170 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t50) @t131))) % 0.86/1.12 (define @t171 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t131) @t50))) % 0.86/1.12 (define @t172 () (@list @t50 @t131)) % 0.86/1.12 (define @t173 () (@var "V_z" $$unsorted)) % 0.86/1.12 (define @t174 () (tptp.hBOOL (tptp.hAPP @t142 @t173))) % 0.86/1.12 (define @t175 () (tptp.hBOOL (tptp.hAPP @t162 @t173))) % 0.86/1.12 (define @t176 () (@list @t173 @t69 @t51)) % 0.86/1.12 (define @t177 () (tptp.hAPP @t124 @t111)) % 0.86/1.12 (define @t178 () (and @t165 (not (tptp.hBOOL (tptp.hAPP @t177 @t45))))) % 0.86/1.12 (define @t179 () (tptp.hAPP @t124 @t173)) % 0.86/1.12 (define @t180 () (and @t174 (not (tptp.hBOOL (tptp.hAPP @t179 @t51))))) % 0.86/1.12 (define @t181 () (=> (and @t175 (not (tptp.hBOOL (tptp.hAPP @t179 @t69)))) @t180)) % 0.86/1.12 (define @t182 () (not @t160)) % 0.86/1.12 (define @t183 () (not (= @t69 @t51))) % 0.86/1.12 (define @t184 () (@var "V_nat_H_2" $$unsorted)) % 0.86/1.12 (define @t185 () (@var "V_nat_2" $$unsorted)) % 0.86/1.12 (define @t186 () (@list @t113 @t50 @t45)) % 0.86/1.12 (define @t187 () (@var "V_b_2" $$unsorted)) % 0.86/1.12 (define @t188 () (@list @t187 @t79 @t76)) % 0.86/1.12 (define @t189 () (@var "V_z_2" $$unsorted)) % 0.86/1.12 (define @t190 () (@var "T_b" $$unsorted)) % 0.86/1.12 (define @t191 () (tptp.tc_Polynomial_Opoly @t190)) % 0.86/1.12 (define @t192 () (tptp.c_Groups_Ozero__class_Ozero @t191)) % 0.86/1.12 (define @t193 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t190)) @t192) @t189) @t189)) % 0.86/1.12 (define @t194 () (tptp.class_Groups_Ozero @t190)) % 0.86/1.12 (define @t195 () (tptp.c_Polynomial_OpCons @t43 @t45 @t52)) % 0.86/1.12 (define @t196 () (tptp.c_Polynomial_Odegree @t43 @t195)) % 0.86/1.12 (define @t197 () (=> @t129 (= @t196 @t126))) % 0.86/1.12 (define @t198 () (@list @t45 @t52 @t43)) % 0.86/1.12 (define @t199 () (tptp.c_Polynomial_Oorder @t43 @t45 @t52)) % 0.86/1.12 (define @t200 () (tptp.c_Polynomial_Odegree @t43 @t94)) % 0.86/1.12 (define @t201 () (not (= @t94 @t59))) % 0.86/1.12 (define @t202 () (tptp.c_Rings_Odvd__class_Odvd @t56)) % 0.86/1.12 (define @t203 () (tptp.hAPP @t202 @t52)) % 0.86/1.12 (define @t204 () (tptp.hBOOL (tptp.hAPP @t203 @t94))) % 0.86/1.12 (define @t205 () (@list @t94 @t52 @t43)) % 0.86/1.12 (define @t206 () (@var "V_i" $$unsorted)) % 0.86/1.12 (define @t207 () (tptp.hAPP @t98 @t206)) % 0.86/1.12 (define @t208 () (tptp.hAPP @t207 @t50)) % 0.86/1.12 (define @t209 () (@list @t50 @t206)) % 0.86/1.12 (define @t210 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 0.86/1.12 (define @t211 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 0.86/1.12 (define @t212 () (tptp.hAPP @t210 @t79)) % 0.86/1.12 (define @t213 () (tptp.hAPP @t202 @t63)) % 0.86/1.12 (define @t214 () (tptp.hBOOL (tptp.hAPP @t213 @t118))) % 0.86/1.12 (define @t215 () (not @t80)) % 0.86/1.12 (define @t216 () (= @t118 @t59)) % 0.86/1.12 (define @t217 () (tptp.c_Polynomial_Osmult @t43 @t79 @t63)) % 0.86/1.12 (define @t218 () (tptp.class_Fields_Ofield @t43)) % 0.86/1.12 (define @t219 () (@list @t118 @t63 @t79 @t43)) % 0.86/1.12 (define @t220 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t131)) % 0.86/1.12 (define @t221 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 @t50)) % 0.86/1.12 (define @t222 () (@var "V_j" $$unsorted)) % 0.86/1.12 (define @t223 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t206 @t222)) % 0.86/1.12 (define @t224 () (@list @t123 @t222 @t206)) % 0.86/1.12 (define @t225 () (= @t79 @t187)) % 0.86/1.12 (define @t226 () (tptp.c_Polynomial_OpCons @t43 @t79 @t63)) % 0.86/1.12 (define @t227 () (tptp.c_Polynomial_Osmult @t43 @t111 @t52)) % 0.86/1.12 (define @t228 () (@list @t45 @t52 @t111 @t43)) % 0.86/1.12 (define @t229 () (tptp.c_Polynomial_Osmult @t43 @t45 @t52)) % 0.86/1.12 (define @t230 () (tptp.c_Polynomial_Odegree @t43 @t229)) % 0.86/1.12 (define @t231 () (@list @t52 @t45 @t43)) % 0.86/1.12 (define @t232 () (tptp.c_Polynomial_Opoly__rec @t43 @t190 @t189 @t2 @t63)) % 0.86/1.12 (define @t233 () (tptp.hAPP (tptp.hAPP @t2 @t79) @t63)) % 0.86/1.12 (define @t234 () (tptp.c_Polynomial_Opoly__rec @t43 @t190 @t189 @t2 (tptp.c_Polynomial_OpCons @t190 @t79 @t63))) % 0.86/1.12 (define @t235 () (@list @t76)) % 0.86/1.12 (define @t236 () (tptp.c_Nat_OSuc @t76)) % 0.86/1.12 (define @t237 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t236 @t101)) % 0.86/1.12 (define @t238 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t76)) % 0.86/1.12 (define @t239 () (@list @t76 @t101)) % 0.86/1.12 (define @t240 () (tptp.c_Nat_OSuc @t101)) % 0.86/1.12 (define @t241 () (@list @t101 @t76)) % 0.86/1.12 (define @t242 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 @t104)) % 0.86/1.12 (define @t243 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t50)) % 0.86/1.12 (define @t244 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 @t229) @t94))) % 0.86/1.12 (define @t245 () (@list @t94 @t52 @t45 @t43)) % 0.86/1.12 (define @t246 () (tptp.c_Polynomial_Osmult @t43 @t45 @t94)) % 0.86/1.12 (define @t247 () (tptp.hBOOL (tptp.hAPP @t203 @t246))) % 0.86/1.12 (define @t248 () (@list @t45 @t94 @t52 @t43)) % 0.86/1.12 (define @t249 () (@list @t63 @t79 @t43)) % 0.86/1.12 (define @t250 () (tptp.hAPP @t55 @t113)) % 0.86/1.12 (define @t251 () (tptp.hAPP @t250 @t50)) % 0.86/1.12 (define @t252 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t45)) % 0.86/1.12 (define @t253 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t45 @t113)) % 0.86/1.12 (define @t254 () (tptp.class_Rings_Olinordered__semidom @t43)) % 0.86/1.12 (define @t255 () (@list @t50 @t113 @t45 @t43)) % 0.86/1.12 (define @t256 () (tptp.hAPP @t88 @t131)) % 0.86/1.12 (define @t257 () (tptp.hAPP @t46 @t256)) % 0.86/1.12 (define @t258 () (@list @t45 @t50 @t131 @t43)) % 0.86/1.12 (define @t259 () (@list @t94 @t45 @t52 @t43)) % 0.86/1.12 (define @t260 () (tptp.c_Polynomial_Osynthetic__div @t43 @t52 @t111)) % 0.86/1.12 (define @t261 () (tptp.hAPP @t53 @t111)) % 0.86/1.12 (define @t262 () (tptp.c_Polynomial_OpCons @t43 @t261 @t260)) % 0.86/1.12 (define @t263 () (tptp.c_Polynomial_OpCons @t43 @t45 @t59)) % 0.86/1.12 (define @t264 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t113)) % 0.86/1.12 (define @t265 () (tptp.hAPP @t250 @t104)) % 0.86/1.12 (define @t266 () (tptp.hAPP @t88 @t104)) % 0.86/1.12 (define @t267 () (@list @t113 @t50 @t45 @t43)) % 0.86/1.12 (define @t268 () (tptp.class_Orderings_Opreorder @t43)) % 0.86/1.12 (define @t269 () (tptp.hAPP @t2 @t100)) % 0.86/1.12 (define @t270 () (tptp.class_Orderings_Oorder @t43)) % 0.86/1.12 (define @t271 () (@var "V_r" $$unsorted)) % 0.86/1.12 (define @t272 () (@list @t111 @t52 @t43)) % 0.86/1.12 (define @t273 () (tptp.c_Groups_Oone__class_Oone @t43)) % 0.86/1.12 (define @t274 () (tptp.c_Polynomial_OpCons @t43 @t273 @t59)) % 0.86/1.12 (define @t275 () (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Polynomial_OpCons @t43 @t45 @t274)) @t50)) % 0.86/1.12 (define @t276 () (@var "V_h" $$unsorted)) % 0.86/1.12 (define @t277 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t50)) % 0.86/1.12 (define @t278 () (@var "V_N" $$unsorted)) % 0.86/1.12 (define @t279 () (tptp.hAPP @t88 @t278)) % 0.86/1.12 (define @t280 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t278)) % 0.86/1.12 (define @t281 () (@list @t45 @t278 @t50 @t43)) % 0.86/1.12 (define @t282 () (tptp.c_Polynomial_Omonom @t43 @t45 @t50)) % 0.86/1.12 (define @t283 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t104)) % 0.86/1.12 (define @t284 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t131 @t50)) % 0.86/1.12 (define @t285 () (tptp.hAPP @t55 @t187)) % 0.86/1.12 (define @t286 () (tptp.hAPP @t285 @t144)) % 0.86/1.12 (define @t287 () (tptp.hAPP @t285 @t100)) % 0.86/1.13 (define @t288 () (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t187)) % 0.86/1.13 (define @t289 () (@list @t144 @t100 @t187 @t43)) % 0.86/1.13 (define @t290 () (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t45)) % 0.86/1.13 (define @t291 () (@list @t50 @t131 @t45 @t43)) % 0.86/1.13 (define @t292 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t278)) % 0.86/1.13 (define @t293 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t111)) % 0.86/1.13 (define @t294 () (tptp.c_Orderings_Oord__class_Oless @t43 @t113 @t293)) % 0.86/1.13 (define @t295 () (tptp.c_Orderings_Oord__class_Oless @t43 @t113 @t111)) % 0.86/1.13 (define @t296 () (=> @t295 @t294)) % 0.86/1.13 (define @t297 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t45)) % 0.86/1.13 (define @t298 () (= @t101 @t76)) % 0.86/1.13 (define @t299 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t273 @t273)) % 0.86/1.13 (define @t300 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t273)) % 0.86/1.13 (define @t301 () (tptp.c_Polynomial_Omonom @t43 @t79 @t76)) % 0.86/1.13 (define @t302 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t113)) % 0.86/1.13 (define @t303 () (tptp.c_Polynomial_Omonom @t43 @t113 @t50)) % 0.86/1.13 (define @t304 () (tptp.class_Groups_Ocomm__monoid__add @t43)) % 0.86/1.13 (define @t305 () (tptp.c_Orderings_Oord__class_Oless @t43 @t69 @t51)) % 0.86/1.13 (define @t306 () (tptp.c_Orderings_Oord__class_Oless @t43 @t51 @t69)) % 0.86/1.13 (define @t307 () (not @t306)) % 0.86/1.13 (define @t308 () (=> @t182 (=> @t307 @t305))) % 0.86/1.13 (define @t309 () (tptp.class_Rings_Olinordered__idom @t43)) % 0.86/1.13 (define @t310 () (@list @t69 @t51 @t43)) % 0.86/1.13 (define @t311 () (tptp.class_Orderings_Olinorder @t43)) % 0.86/1.13 (define @t312 () (tptp.c_Orderings_Oord__class_Oless @t43 @t173 @t51)) % 0.86/1.13 (define @t313 () (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t173 @t69) @t312)) % 0.86/1.13 (define @t314 () (@list @t173 @t51 @t69 @t43)) % 0.86/1.13 (define @t315 () (tptp.c_Orderings_Oord__class_Oless @t43 @t51 @t173)) % 0.86/1.13 (define @t316 () (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t69 @t173) @t315)) % 0.86/1.13 (define @t317 () (@list @t173 @t69 @t51 @t43)) % 0.86/1.13 (define @t318 () (tptp.c_Orderings_Oord__class_Oless @t43 @t111 @t45)) % 0.86/1.13 (define @t319 () (tptp.c_Orderings_Oord__class_Oless @t43 @t113 @t45)) % 0.86/1.13 (define @t320 () (@list @t111 @t45 @t113 @t43)) % 0.86/1.13 (define @t321 () (tptp.c_Orderings_Oord__class_Oless @t43 @t45 @t111)) % 0.86/1.13 (define @t322 () (tptp.c_Orderings_Oord__class_Oless @t43 @t45 @t113)) % 0.86/1.13 (define @t323 () (tptp.class_Orderings_Oord @t43)) % 0.86/1.13 (define @t324 () (@list @t45 @t113 @t43)) % 0.86/1.13 (define @t325 () (@list @t113 @t45 @t43)) % 0.86/1.13 (define @t326 () (tptp.c_Orderings_Oord__class_Oless @t43 @t100 @t144)) % 0.86/1.13 (define @t327 () (not @t326)) % 0.86/1.13 (define @t328 () (= @t327 @t147)) % 0.86/1.13 (define @t329 () (tptp.c_Orderings_Oord__class_Oless @t43 @t144 @t100)) % 0.86/1.13 (define @t330 () (@list @t100 @t144 @t43)) % 0.86/1.13 (define @t331 () (@list @t144 @t100 @t43)) % 0.86/1.13 (define @t332 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t101)) % 0.86/1.13 (define @t333 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t76)) % 0.86/1.13 (define @t334 () (not @t298)) % 0.86/1.13 (define @t335 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t69)) % 0.86/1.13 (define @t336 () (not @t169)) % 0.86/1.13 (define @t337 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t131)) % 0.86/1.13 (define @t338 () (@list @t131 @t50)) % 0.86/1.13 (define @t339 () (@var "V_t" $$unsorted)) % 0.86/1.13 (define @t340 () (@var "V_s" $$unsorted)) % 0.86/1.13 (define @t341 () (@var "V_P_2" $$unsorted)) % 0.86/1.13 (define @t342 () (tptp.hAPP @t341 @t76)) % 0.86/1.13 (define @t343 () (tptp.hBOOL (tptp.hAPP @t342 @t101))) % 0.86/1.13 (define @t344 () (tptp.c_Groups_Oplus__class_Oplus @t56 @t52 @t94)) % 0.86/1.13 (define @t345 () (tptp.c_Polynomial_OpCons @t43 @t113 @t94)) % 0.86/1.13 (define @t346 () (@list @t94 @t113 @t52 @t45 @t43)) % 0.86/1.13 (define @t347 () (tptp.c_Polynomial_Odegree @t43 @t344)) % 0.86/1.13 (define @t348 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t50)) % 0.86/1.13 (define @t349 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t125 @t50)) % 0.86/1.13 (define @t350 () (@list @t94 @t50 @t52 @t43)) % 0.86/1.13 (define @t351 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t94) @t51)) % 0.86/1.13 (define @t352 () (@list @t51 @t94 @t52 @t43)) % 0.86/1.13 (define @t353 () (tptp.c_Polynomial_Osmult @t43 @t113 @t52)) % 0.86/1.13 (define @t354 () (@list @t52 @t113 @t45 @t43)) % 0.86/1.13 (define @t355 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t69 @t51)) % 0.86/1.13 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t51 @t69)) % 0.86/1.13 (define @t357 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t173 @t69)) % 0.86/1.13 (define @t358 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t69 @t173)) % 0.86/1.13 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t113 @t45)) % 0.86/1.13 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t100 @t144)) % 0.86/1.13 (define @t361 () (@list @t51 @t69 @t43)) % 0.86/1.13 (define @t362 () (= @t360 @t147)) % 0.86/1.13 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t144 @t100)) % 0.86/1.13 (define @t364 () (tptp.c_Groups_Oone__class_Oone @t56)) % 0.86/1.13 (define @t365 () (tptp.c_Orderings_Oord__class_Oless @t43 @t45 @t273)) % 0.86/1.13 (define @t366 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t52 @t276)) % 0.86/1.13 (define @t367 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t113 @t111)) % 0.86/1.13 (define @t368 () (tptp.class_Groups_Omonoid__mult @t43)) % 0.86/1.13 (define @t369 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t76)) % 0.86/1.13 (define @t370 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t50)) % 0.86/1.13 (define @t371 () (not @t284)) % 0.86/1.13 (define @t372 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t131 @t104)) % 0.86/1.13 (define @t373 () (tptp.c_Nat_OSuc @t206)) % 0.86/1.13 (define @t374 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t123)) % 0.86/1.13 (define @t375 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t222)) % 0.86/1.13 (define @t376 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t240)) % 0.86/1.13 (define @t377 () (= @t376 (= @t76 @t101))) % 0.86/1.13 (define @t378 () (or @t333 @t298)) % 0.86/1.13 (define @t379 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t236)) % 0.86/1.13 (define @t380 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 0.86/1.13 (define @t381 () (@list @t94 @t43)) % 0.86/1.13 (define @t382 () (= @t101 @t380)) % 0.86/1.13 (define @t383 () (@list @t51 @t50 @t43)) % 0.86/1.13 (define @t384 () (tptp.hAPP @t207 @t131)) % 0.86/1.13 (define @t385 () (@list @t50 @t131 @t206)) % 0.86/1.13 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t43 @t89 @t251)) % 0.86/1.13 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t273 @t45)) % 0.86/1.13 (define @t388 () (@var "B_j" $$unsorted)) % 0.86/1.13 (define @t389 () (@var "B_m" $$unsorted)) % 0.86/1.13 (define @t390 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t131)) % 0.86/1.13 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t50)) % 0.86/1.13 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t125 @t50)) % 0.86/1.13 (define @t393 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t100)) % 0.86/1.13 (define @t394 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 (tptp.hAPP @t103 @t76))) % 0.86/1.13 (define @t395 () (@list @t76 @t100)) % 0.86/1.13 (define @t396 () (@var "V_h_2" $$unsorted)) % 0.86/1.13 (define @t397 () (tptp.c_Polynomial_Odegree @t43 @t282)) % 0.86/1.13 (define @t398 () (tptp.hAPP @t105 @t50)) % 0.86/1.13 (define @t399 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t50)) % 0.86/1.13 (define @t400 () (tptp.hAPP @t124 @t123)) % 0.86/1.13 (define @t401 () (tptp.hBOOL (tptp.hAPP @t400 @t50))) % 0.86/1.13 (define @t402 () (tptp.tc_fun @t43 @t190)) % 0.86/1.13 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t402 @t2 @t1)) % 0.86/1.13 (define @t404 () (tptp.class_Orderings_Oord @t190)) % 0.86/1.13 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t45)) % 0.86/1.13 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t45 @t111)) % 0.86/1.13 (define @t407 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t113 @t111)) % 0.86/1.13 (define @t408 () (@list @t1 @t2 @t43 @t190)) % 0.86/1.13 (define @t409 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t302)) % 0.86/1.13 (define @t410 () (tptp.class_Groups_Oordered__comm__monoid__add @t43)) % 0.86/1.13 (define @t411 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t113)) % 0.86/1.13 (define @t412 () (=> @t411 @t409)) % 0.86/1.13 (define @t413 () (tptp.c_Orderings_Oord__class_Oless @t43 @t302 @t44)) % 0.86/1.13 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t113 @t44)) % 0.86/1.13 (define @t415 () (tptp.c_Orderings_Oord__class_Oless @t43 @t45 @t44)) % 0.86/1.13 (define @t416 () (tptp.c_Orderings_Oord__class_Oless @t43 @t113 @t44)) % 0.86/1.13 (define @t417 () (=> @t416 @t413)) % 0.86/1.13 (define @t418 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t45 @t44)) % 0.86/1.13 (define @t419 () (tptp.c_Nat_OSuc @t97)) % 0.86/1.13 (define @t420 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t76)) % 0.86/1.13 (define @t421 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t50)) % 0.86/1.13 (define @t422 () (tptp.c_Nat_OSuc @t421)) % 0.86/1.13 (define @t423 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t104)) % 0.86/1.13 (define @t424 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t132 @t50)) % 0.86/1.13 (define @t425 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t206 @t222)) % 0.86/1.13 (define @t426 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t50)) % 0.86/1.13 (define @t427 () (@var "V_l" $$unsorted)) % 0.86/1.13 (define @t428 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 @t427)) % 0.86/1.13 (define @t429 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t427)) % 0.86/1.13 (define @t430 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t206 @t123)) % 0.86/1.13 (define @t431 () (@list @t427 @t123 @t222 @t206)) % 0.86/1.13 (define @t432 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t123)) % 0.86/1.13 (define @t433 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t222)) % 0.86/1.13 (define @t434 () (@list @t131 @t222 @t206)) % 0.86/1.13 (define @t435 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t131)) % 0.86/1.13 (define @t436 () (@var "V_k_2" $$unsorted)) % 0.86/1.13 (define @t437 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 @t76)) % 0.86/1.13 (define @t438 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 @t101)) % 0.86/1.13 (define @t439 () (@list @t76 @t101 @t436)) % 0.86/1.13 (define @t440 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t206)) % 0.86/1.13 (define @t441 () (tptp.hAPP @t124 @t436)) % 0.86/1.13 (define @t442 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t76 @t436)) % 0.86/1.13 (define @t443 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t123)) % 0.86/1.13 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t443 @t50)) % 0.86/1.13 (define @t445 () (@list @t50 @t123 @t131)) % 0.86/1.13 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t427)) % 0.86/1.13 (define @t447 () (@var "B_k" $$unsorted)) % 0.86/1.13 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t447)) % 0.86/1.13 (define @t449 () (@list @t447)) % 0.86/1.13 (define @t450 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t131)) % 0.86/1.13 (define @t451 () (= @t76 @t97)) % 0.86/1.13 (define @t452 () (or (and @t136 @t77) (and @t102 @t451))) % 0.86/1.13 (define @t453 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t101)) % 0.86/1.13 (define @t454 () (@list @t131 @t206)) % 0.86/1.13 (define @t455 () (= @t100 @t44)) % 0.86/1.13 (define @t456 () (@list @t100 @t43)) % 0.86/1.13 (define @t457 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t302 @t111)) % 0.86/1.13 (define @t458 () (= @t457 (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t367))) % 0.86/1.13 (define @t459 () (= @t187 @t140)) % 0.86/1.13 (define @t460 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t79 @t140)) % 0.86/1.13 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t79 @t187)) % 0.86/1.13 (define @t462 () (tptp.class_Groups_Ocancel__semigroup__add @t43)) % 0.86/1.13 (define @t463 () (@list @t140 @t187 @t79 @t43)) % 0.86/1.13 (define @t464 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t140 @t79)) % 0.86/1.13 (define @t465 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t187 @t79)) % 0.86/1.13 (define @t466 () (=> (= @t302 @t293) @t168)) % 0.86/1.13 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t111 @t45)) % 0.86/1.13 (define @t468 () (= @t100 @t273)) % 0.86/1.13 (define @t469 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t44) @t45)) % 0.86/1.13 (define @t470 () (tptp.class_Groups_Omonoid__add @t43)) % 0.86/1.13 (define @t471 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t79 @t79)) % 0.86/1.13 (define @t472 () (tptp.class_Groups_Olinordered__ab__group__add @t43)) % 0.86/1.13 (define @t473 () (@list @t79 @t43)) % 0.86/1.13 (define @t474 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t44 @t45) @t45)) % 0.86/1.13 (define @t475 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t79 @t187)) % 0.86/1.13 (define @t476 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t187 @t140)) % 0.86/1.13 (define @t477 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t43)) % 0.86/1.13 (define @t478 () (@list @t187 @t140 @t79 @t43)) % 0.86/1.13 (define @t479 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t140 @t187)) % 0.86/1.13 (define @t480 () (@list @t187 @t79 @t140 @t43)) % 0.86/1.13 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t293 @t367)) % 0.86/1.13 (define @t482 () (tptp.class_Groups_Oordered__ab__semigroup__add @t43)) % 0.86/1.13 (define @t483 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t111 @t113)) % 0.86/1.13 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t467 @t483)) % 0.86/1.13 (define @t485 () (@var "V_d" $$unsorted)) % 0.86/1.13 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t113 @t485)) % 0.86/1.13 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t485)) % 0.86/1.13 (define @t488 () (@list @t485 @t111 @t113 @t45 @t43)) % 0.86/1.13 (define @t489 () (@list @t113 @t111 @t45 @t43)) % 0.86/1.13 (define @t490 () (@list @t113 @t45 @t111 @t43)) % 0.86/1.13 (define @t491 () (tptp.c_Orderings_Oord__class_Oless @t43 @t79 @t187)) % 0.86/1.13 (define @t492 () (tptp.c_Orderings_Oord__class_Oless @t43 @t293 @t367)) % 0.86/1.13 (define @t493 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t43)) % 0.86/1.13 (define @t494 () (tptp.c_Orderings_Oord__class_Oless @t43 @t467 @t483)) % 0.86/1.13 (define @t495 () (tptp.c_Orderings_Oord__class_Oless @t43 @t293 @t486)) % 0.86/1.13 (define @t496 () (tptp.c_Orderings_Oord__class_Oless @t43 @t111 @t485)) % 0.86/1.13 (define @t497 () (=> @t496 @t495)) % 0.86/1.13 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t113 @t293)) % 0.86/1.13 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t111)) % 0.86/1.13 (define @t500 () (@list @t45 @t113 @t111 @t43)) % 0.86/1.13 (define @t501 () (= @t144 @t44)) % 0.86/1.13 (define @t502 () (and @t455 @t501)) % 0.86/1.13 (define @t503 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t100 @t144) @t44)) % 0.86/1.13 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t79 @t44)) % 0.86/1.13 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t79)) % 0.86/1.13 (define @t506 () (tptp.c_Orderings_Oord__class_Oless @t43 @t79 @t44)) % 0.86/1.13 (define @t507 () (= (tptp.c_Orderings_Oord__class_Oless @t43 @t471 @t44) @t506)) % 0.86/1.13 (define @t508 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t79)) % 0.86/1.13 (define @t509 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t45)) % 0.86/1.13 (define @t510 () (tptp.hAPP @t57 (tptp.c_Polynomial_OpCons @t43 @t509 @t274))) % 0.86/1.13 (define @t511 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 (tptp.hAPP @t510 (tptp.c_Nat_OSuc @t199))) @t52)))) % 0.86/1.13 (define @t512 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 (tptp.hAPP @t510 @t199)) @t52))) % 0.86/1.13 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t51 @t69)) % 0.86/1.13 (define @t514 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t69 @t173)) % 0.86/1.13 (define @t515 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t123)) % 0.86/1.13 (define @t516 () (@list @t123 @t50 @t131)) % 0.86/1.13 (define @t517 () (@list @t76 @t436 @t101)) % 0.86/1.13 (define @t518 () (tptp.class_Groups_Ogroup__add @t43)) % 0.86/1.13 (define @t519 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t79)) % 0.86/1.13 (define @t520 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t187)) % 0.86/1.13 (define @t521 () (= @t79 @t520)) % 0.86/1.13 (define @t522 () (@list @t187 @t79 @t43)) % 0.86/1.13 (define @t523 () (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t229)) % 0.86/1.13 (define @t524 () (tptp.class_Rings_Ocomm__ring @t43)) % 0.86/1.13 (define @t525 () (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t52)) % 0.86/1.13 (define @t526 () (tptp.class_Groups_Oab__group__add @t43)) % 0.86/1.13 (define @t527 () (tptp.class_Groups_Oordered__ab__group__add @t43)) % 0.86/1.13 (define @t528 () (@list @t79 @t187 @t43)) % 0.86/1.13 (define @t529 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t113)) % 0.86/1.13 (define @t530 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t302)) % 0.86/1.13 (define @t531 () (tptp.hAPP @t46 @t100)) % 0.86/1.13 (define @t532 () (tptp.hBOOL (tptp.hAPP @t531 @t144))) % 0.86/1.13 (define @t533 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t144)) % 0.86/1.13 (define @t534 () (tptp.class_Rings_Ocomm__ring__1 @t43)) % 0.86/1.13 (define @t535 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t100)) % 0.86/1.13 (define @t536 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t509 @t45) @t44)) % 0.86/1.13 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t111 @t485)) % 0.86/1.13 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t537)) % 0.86/1.13 (define @t539 () (@list @t485 @t111 @t45 @t43)) % 0.86/1.13 (define @t540 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t514)) % 0.86/1.13 (define @t541 () (@list @t69 @t173 @t51)) % 0.86/1.13 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t51 @t514)) % 0.86/1.13 (define @t543 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t50) @t131))) % 0.86/1.13 (define @t544 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t131) @t50))) % 0.86/1.13 (define @t545 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.86/1.13 (define @t546 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t140)) % 0.86/1.13 (define @t547 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t43)) % 0.86/1.13 (define @t548 () (tptp.c_Groups_Otimes__class_Otimes @t56)) % 0.86/1.13 (define @t549 () (@var "V_l_2" $$unsorted)) % 0.86/1.13 (define @t550 () (@list @t549 @t436)) % 0.86/1.13 (define @t551 () (tptp.c_Polynomial_Opos__poly @t43 @t63)) % 0.86/1.13 (define @t552 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t51)) % 0.86/1.13 (define @t553 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t69)) % 0.86/1.13 (define @t554 () (tptp.class_Lattices_Oboolean__algebra @t43)) % 0.86/1.13 (define @t555 () (@var "V_w" $$unsorted)) % 0.86/1.13 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t555 @t173)) % 0.86/1.13 (define @t557 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t173 @t555)) % 0.86/1.13 (define @t558 () (@list @t555 @t173)) % 0.86/1.13 (define @t559 () (@var "V_w_2" $$unsorted)) % 0.86/1.13 (define @t560 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.86/1.13 (define @t561 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t559 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t189 @t560))) % 0.86/1.13 (define @t562 () (@list @t189 @t559)) % 0.86/1.13 (define @t563 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t559 @t189)) % 0.86/1.13 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t206 @t222)) % 0.86/1.13 (define @t565 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t555 @t173)) % 0.86/1.13 (define @t566 () (@var "V_z_H" $$unsorted)) % 0.86/1.13 (define @t567 () (@var "V_w_H" $$unsorted)) % 0.86/1.13 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t560 @t173)) % 0.86/1.13 (define @t569 () (@list @t173)) % 0.86/1.13 (define @t570 () (@list @t189)) % 0.86/1.13 (define @t571 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t173)) % 0.86/1.13 (define @t572 () (tptp.c_Groups_Otimes__class_Otimes @t43)) % 0.86/1.13 (define @t573 () (tptp.hAPP @t572 @t45)) % 0.86/1.13 (define @t574 () (tptp.hAPP @t573 @t113)) % 0.86/1.13 (define @t575 () (tptp.c_Polynomial_Omonom @t43 @t45 @t131)) % 0.86/1.13 (define @t576 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t206 @t222)) % 0.86/1.13 (define @t577 () (tptp.hAPP @t572 @t100)) % 0.86/1.13 (define @t578 () (tptp.hAPP @t572 @t559)) % 0.86/1.13 (define @t579 () (tptp.hAPP @t577 @t189)) % 0.86/1.13 (define @t580 () (tptp.hAPP @t578 @t144)) % 0.86/1.13 (define @t581 () (tptp.hAPP @t572 @t302)) % 0.86/1.13 (define @t582 () (tptp.hAPP @t572 @t113)) % 0.86/1.13 (define @t583 () (tptp.hAPP @t573 @t131)) % 0.86/1.13 (define @t584 () (tptp.hAPP @t582 @t111)) % 0.86/1.13 (define @t585 () (tptp.hAPP @t573 @t111)) % 0.86/1.13 (define @t586 () (= (tptp.hAPP @t581 @t111) (tptp.c_Groups_Oplus__class_Oplus @t43 @t585 @t584))) % 0.86/1.13 (define @t587 () (tptp.hAPP @t572 @t187)) % 0.86/1.13 (define @t588 () (tptp.hAPP @t587 @t140)) % 0.86/1.13 (define @t589 () (@var "V_d_2" $$unsorted)) % 0.86/1.13 (define @t590 () (tptp.hAPP @t572 @t79)) % 0.86/1.13 (define @t591 () (tptp.hAPP @t590 @t140)) % 0.86/1.13 (define @t592 () (= @t140 @t589)) % 0.86/1.13 (define @t593 () (@list @t589 @t140 @t187 @t79 @t43)) % 0.86/1.13 (define @t594 () (tptp.hAPP @t572 @t51)) % 0.86/1.13 (define @t595 () (tptp.hAPP @t594 @t173)) % 0.86/1.13 (define @t596 () (tptp.hAPP @t594 @t69)) % 0.86/1.13 (define @t597 () (= (tptp.hAPP @t573 @t273) @t45)) % 0.86/1.13 (define @t598 () (= (tptp.hAPP (tptp.hAPP @t572 @t273) @t45) @t45)) % 0.86/1.13 (define @t599 () (tptp.hAPP @t573 @t529)) % 0.86/1.13 (define @t600 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t574)) % 0.86/1.13 (define @t601 () (tptp.class_Rings_Oring @t43)) % 0.86/1.13 (define @t602 () (tptp.hAPP @t572 @t509)) % 0.86/1.13 (define @t603 () (tptp.hAPP @t602 @t113)) % 0.86/1.13 (define @t604 () (@var "V_ry" $$unsorted)) % 0.86/1.13 (define @t605 () (@var "V_ly" $$unsorted)) % 0.86/1.13 (define @t606 () (tptp.hAPP @t572 @t605)) % 0.86/1.13 (define @t607 () (@var "V_rx" $$unsorted)) % 0.86/1.13 (define @t608 () (@var "V_lx" $$unsorted)) % 0.86/1.13 (define @t609 () (tptp.hAPP @t572 @t608)) % 0.86/1.13 (define @t610 () (tptp.hAPP @t572 (tptp.hAPP @t609 @t607))) % 0.86/1.13 (define @t611 () (tptp.hAPP @t572 @t607)) % 0.86/1.13 (define @t612 () (tptp.hAPP @t611 @t604)) % 0.86/1.13 (define @t613 () (tptp.hAPP @t572 (tptp.hAPP @t609 @t605))) % 0.86/1.13 (define @t614 () (tptp.hAPP @t613 @t612)) % 0.86/1.13 (define @t615 () (@list @t604 @t607 @t605 @t608 @t43)) % 0.86/1.13 (define @t616 () (tptp.hAPP @t613 @t607)) % 0.86/1.13 (define @t617 () (@list @t607 @t605 @t608 @t43)) % 0.86/1.13 (define @t618 () (tptp.hAPP @t609 @t612)) % 0.86/1.13 (define @t619 () (@list @t604 @t607 @t608 @t43)) % 0.86/1.13 (define @t620 () (tptp.hAPP @t582 @t45)) % 0.86/1.13 (define @t621 () (tptp.hAPP @t71 @t94)) % 0.86/1.13 (define @t622 () (tptp.hAPP @t572 @t621)) % 0.86/1.13 (define @t623 () (= (tptp.hAPP @t573 @t44) @t44)) % 0.86/1.13 (define @t624 () (tptp.hAPP @t572 @t44)) % 0.86/1.13 (define @t625 () (= (tptp.hAPP @t624 @t45) @t44)) % 0.86/1.13 (define @t626 () (= @t187 @t44)) % 0.86/1.13 (define @t627 () (tptp.hAPP @t590 @t187)) % 0.86/1.13 (define @t628 () (= @t574 @t44)) % 0.86/1.13 (define @t629 () (= @t113 @t44)) % 0.86/1.13 (define @t630 () (not @t629)) % 0.86/1.13 (define @t631 () (@var "V_e" $$unsorted)) % 0.86/1.13 (define @t632 () (tptp.class_Groups_Ocomm__monoid__mult @t43)) % 0.86/1.13 (define @t633 () (tptp.hBOOL (tptp.hAPP @t47 @t584))) % 0.86/1.13 (define @t634 () (tptp.hAPP @t582 @t485)) % 0.86/1.13 (define @t635 () (tptp.class_Rings_Odvd @t43)) % 0.86/1.13 (define @t636 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t574) @t111))) % 0.86/1.13 (define @t637 () (tptp.hAPP @t573 @t89)) % 0.86/1.13 (define @t638 () (tptp.hAPP @t572 @t89)) % 0.86/1.13 (define @t639 () (tptp.hAPP @t638 @t45)) % 0.86/1.13 (define @t640 () (tptp.hAPP @t548 @t52)) % 0.86/1.13 (define @t641 () (tptp.hAPP @t640 @t94)) % 0.86/1.13 (define @t642 () (tptp.hAPP @t573 @t45)) % 0.86/1.13 (define @t643 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t43)) % 0.86/1.13 (define @t644 () (tptp.hAPP @t594 @t51)) % 0.86/1.13 (define @t645 () (tptp.c_Polynomial_Opos__poly @t43 @t94)) % 0.86/1.13 (define @t646 () (tptp.c_Polynomial_Opos__poly @t43 @t52)) % 0.86/1.13 (define @t647 () (tptp.c_Polynomial_Osmult @t43 @t45 @t641)) % 0.86/1.13 (define @t648 () (tptp.hAPP @t548 @t94)) % 0.86/1.13 (define @t649 () (tptp.class_Rings_Olinordered__ring @t43)) % 0.86/1.13 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t187 @t44)) % 0.86/1.13 (define @t651 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t187)) % 0.86/1.13 (define @t652 () (or (and @t505 @t651) (and @t504 @t650))) % 0.86/1.13 (define @t653 () (tptp.class_Rings_Olinordered__ring__strict @t43)) % 0.86/1.13 (define @t654 () (or (and @t505 @t650) (and @t504 @t651))) % 0.86/1.13 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t574)) % 0.86/1.13 (define @t656 () (tptp.class_Rings_Oordered__cancel__semiring @t43)) % 0.86/1.13 (define @t657 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t574 @t44)) % 0.86/1.13 (define @t658 () (tptp.class_Rings_Oordered__ring @t43)) % 0.86/1.13 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t585 @t584)) % 0.86/1.13 (define @t660 () (tptp.class_Rings_Oordered__semiring @t43)) % 0.86/1.13 (define @t661 () (tptp.hAPP @t572 @t111)) % 0.86/1.13 (define @t662 () (tptp.hAPP @t661 @t113)) % 0.86/1.13 (define @t663 () (tptp.hAPP @t661 @t45)) % 0.86/1.13 (define @t664 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t663 @t662)) % 0.86/1.13 (define @t665 () (=> @t253 (=> @t499 @t664))) % 0.86/1.13 (define @t666 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t44)) % 0.86/1.13 (define @t667 () (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t585 @t634))) % 0.86/1.13 (define @t668 () (tptp.c_Orderings_Oord__class_Oless @t43 @t663 @t662)) % 0.86/1.13 (define @t669 () (tptp.c_Orderings_Oord__class_Oless @t43 @t111 @t44)) % 0.86/1.13 (define @t670 () (tptp.c_Orderings_Oord__class_Oless @t43 @t585 @t584)) % 0.86/1.13 (define @t671 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t111)) % 0.86/1.13 (define @t672 () (=> @t322 (=> @t671 @t668))) % 0.86/1.13 (define @t673 () (tptp.class_Rings_Olinordered__semiring__strict @t43)) % 0.86/1.13 (define @t674 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t574)) % 0.86/1.13 (define @t675 () (tptp.c_Orderings_Oord__class_Oless @t43 @t574 @t44)) % 0.86/1.13 (define @t676 () (tptp.c_Orderings_Oord__class_Oless @t43 @t187 @t79)) % 0.86/1.13 (define @t677 () (tptp.hAPP @t572 @t140)) % 0.86/1.13 (define @t678 () (tptp.hAPP @t677 @t187)) % 0.86/1.13 (define @t679 () (tptp.hAPP @t677 @t79)) % 0.86/1.13 (define @t680 () (tptp.c_Orderings_Oord__class_Oless @t43 @t679 @t678)) % 0.86/1.13 (define @t681 () (tptp.c_Orderings_Oord__class_Oless @t43 @t140 @t44)) % 0.86/1.13 (define @t682 () (=> @t297 @t411)) % 0.86/1.13 (define @t683 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t140)) % 0.86/1.13 (define @t684 () (or (and @t683 @t491) (and @t681 @t676))) % 0.86/1.13 (define @t685 () (tptp.hAPP @t577 @t100)) % 0.86/1.13 (define @t686 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t685 (tptp.hAPP (tptp.hAPP @t572 @t144) @t144))) % 0.86/1.13 (define @t687 () (tptp.hAPP @t572 @t271)) % 0.86/1.13 (define @t688 () (tptp.hAPP @t572 @t131)) % 0.86/1.13 (define @t689 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t79) @t187))) % 0.86/1.13 (define @t690 () (= @t140 @t44)) % 0.86/1.13 (define @t691 () (or @t690 @t689)) % 0.86/1.13 (define @t692 () (tptp.hAPP (tptp.hAPP @t572 @t300) @t131)) % 0.86/1.13 (define @t693 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t273)) % 0.86/1.13 (define @t694 () (tptp.hAPP @t594 @t621)) % 0.86/1.13 (define @t695 () (tptp.hAPP @t71 (tptp.c_Nat_OSuc @t94))) % 0.86/1.13 (define @t696 () (@list @t94 @t51 @t43)) % 0.86/1.13 (define @t697 () (tptp.hAPP @t71 @t52)) % 0.86/1.13 (define @t698 () (@list @t94 @t52 @t51 @t43)) % 0.86/1.13 (define @t699 () (@list @t51 @t52 @t45 @t43)) % 0.86/1.13 (define @t700 () (=> @t671 @t253)) % 0.86/1.13 (define @t701 () (=> @t499 @t322)) % 0.86/1.13 (define @t702 () (=> @t668 @t701)) % 0.86/1.13 (define @t703 () (tptp.class_Rings_Olinordered__semiring @t43)) % 0.86/1.13 (define @t704 () (=> @t670 @t701)) % 0.86/1.13 (define @t705 () (tptp.c_Orderings_Oord__class_Oless @t43 @t585 @t634)) % 0.86/1.13 (define @t706 () (=> @t499 @t705)) % 0.86/1.13 (define @t707 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t679 @t678)) % 0.86/1.13 (define @t708 () (tptp.hAPP @t572 @t69)) % 0.86/1.13 (define @t709 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t644 (tptp.hAPP @t708 @t69))) % 0.86/1.13 (define @t710 () (not @t501)) % 0.86/1.13 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t69 @t273)) % 0.86/1.13 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t69)) % 0.86/1.13 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t51)) % 0.86/1.13 (define @t714 () (tptp.class_Rings_Oring__1 @t43)) % 0.86/1.13 (define @t715 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t125 @t200)) % 0.86/1.13 (define @t716 () (tptp.c_Polynomial_Odegree @t43 @t641)) % 0.86/1.13 (define @t717 () (@var "V_A_2" $$unsorted)) % 0.86/1.13 (define @t718 () (tptp.hAPP @t717 @t100)) % 0.86/1.13 (define @t719 () (tptp.tc_fun @t190 @t43)) % 0.86/1.13 (define @t720 () (@var "V_v" $$unsorted)) % 0.86/1.13 (define @t721 () (@var "V_u" $$unsorted)) % 0.86/1.13 (define @t722 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP (tptp.hAPP @t572 @t721) @t51) (tptp.hAPP (tptp.hAPP @t572 @t720) @t69))) % 0.86/1.13 (define @t723 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t721 @t720) @t273)) % 0.86/1.13 (define @t724 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t720)) % 0.86/1.13 (define @t725 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t721)) % 0.86/1.13 (define @t726 () (@list @t720 @t721 @t69 @t45 @t51 @t43)) % 0.86/1.13 (define @t727 () (tptp.c_Polynomial_OpCons @t43 @t44 @t641)) % 0.86/1.13 (define @t728 () (tptp.hBOOL (tptp.hAPP @t341 @t3))) % 0.86/1.13 (define @t729 () (tptp.hAPP @t211 @t51)) % 0.86/1.13 (define @t730 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t51)) % 0.86/1.13 (define @t731 () (tptp.c_Polynomial_Opcompose @t43 @t52 @t94)) % 0.86/1.13 (define @t732 () (@var "V_z2" $$unsorted)) % 0.86/1.13 (define @t733 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 0.86/1.13 (define @t734 () (tptp.hAPP @t733 @t732)) % 0.86/1.13 (define @t735 () (tptp.hAPP @t734 @t555)) % 0.86/1.13 (define @t736 () (@var "V_z1" $$unsorted)) % 0.86/1.13 (define @t737 () (tptp.hAPP @t733 @t736)) % 0.86/1.13 (define @t738 () (tptp.hAPP @t737 @t555)) % 0.86/1.13 (define @t739 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t736 @t732)) % 0.86/1.13 (define @t740 () (@list @t555 @t732 @t736)) % 0.86/1.13 (define @t741 () (tptp.hAPP @t733 @t555)) % 0.86/1.13 (define @t742 () (tptp.hAPP @t741 @t732)) % 0.86/1.13 (define @t743 () (tptp.hAPP @t741 @t736)) % 0.86/1.13 (define @t744 () (@list @t732 @t736 @t555)) % 0.86/1.13 (define @t745 () (tptp.hAPP @t733 @t173)) % 0.86/1.13 (define @t746 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t555)) % 0.86/1.13 (define @t747 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t173 @t555)) % 0.86/1.13 (define @t748 () (tptp.hAPP @t745 @t555)) % 0.86/1.13 (define @t749 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 0.86/1.13 (define @t750 () (tptp.hAPP @t749 @t52)) % 0.86/1.13 (define @t751 () (= @t436 @t10)) % 0.86/1.13 (define @t752 () (or @t298 @t751)) % 0.86/1.13 (define @t753 () (tptp.hAPP @t749 @t76)) % 0.86/1.13 (define @t754 () (tptp.hAPP @t753 @t436)) % 0.86/1.13 (define @t755 () (tptp.hAPP @t749 @t101)) % 0.86/1.13 (define @t756 () (tptp.hAPP @t755 @t436)) % 0.86/1.13 (define @t757 () (tptp.hAPP @t749 @t436)) % 0.86/1.13 (define @t758 () (tptp.hAPP @t757 @t76)) % 0.86/1.13 (define @t759 () (tptp.hAPP @t757 @t101)) % 0.86/1.13 (define @t760 () (= @t759 @t758)) % 0.86/1.13 (define @t761 () (tptp.hAPP @t755 @t76)) % 0.86/1.13 (define @t762 () (tptp.hAPP @t749 @t131)) % 0.86/1.13 (define @t763 () (tptp.hAPP @t762 @t50)) % 0.86/1.13 (define @t764 () (tptp.hAPP @t749 (tptp.c_Nat_OSuc @t436))) % 0.86/1.13 (define @t765 () (tptp.hAPP @t764 @t76)) % 0.86/1.13 (define @t766 () (tptp.hAPP @t764 @t101)) % 0.86/1.13 (define @t767 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t69)) % 0.86/1.13 (define @t768 () (tptp.hAPP @t749 @t50)) % 0.86/1.13 (define @t769 () (tptp.hAPP @t768 @t123)) % 0.86/1.13 (define @t770 () (tptp.hAPP @t762 @t123)) % 0.86/1.13 (define @t771 () (tptp.hAPP @t749 @t123)) % 0.86/1.13 (define @t772 () (tptp.hAPP @t771 @t50)) % 0.86/1.13 (define @t773 () (tptp.hAPP @t771 @t131)) % 0.86/1.13 (define @t774 () (@list @t50 @t131 @t123)) % 0.86/1.13 (define @t775 () (tptp.hAPP @t749 @t222)) % 0.86/1.13 (define @t776 () (tptp.hAPP @t749 @t206)) % 0.86/1.13 (define @t777 () (tptp.hAPP @t776 @t123)) % 0.86/1.13 (define @t778 () (tptp.hAPP @t771 @t222)) % 0.86/1.13 (define @t779 () (tptp.hAPP @t771 @t206)) % 0.86/1.13 (define @t780 () (tptp.hAPP @t775 @t123)) % 0.86/1.13 (define @t781 () (tptp.hAPP @t762 @t131)) % 0.86/1.13 (define @t782 () (= @t76 @t380)) % 0.86/1.13 (define @t783 () (and @t382 @t782)) % 0.86/1.13 (define @t784 () (@var "V_t_2" $$unsorted)) % 0.86/1.13 (define @t785 () (tptp.hAPP @t210 @t436)) % 0.86/1.13 (define @t786 () (tptp.hAPP @t733 @t436)) % 0.86/1.13 (define @t787 () (tptp.hAPP @t786 @t101)) % 0.86/1.13 (define @t788 () (tptp.hAPP @t729 @t69)) % 0.86/1.13 (define @t789 () (@var "V_z3" $$unsorted)) % 0.86/1.13 (define @t790 () (@list @t789 @t732 @t736)) % 0.86/1.13 (define @t791 () (tptp.hAPP @t749 @t125)) % 0.86/1.13 (define @t792 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t123)) % 0.86/1.13 (define @t793 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t436)) % 0.86/1.13 (define @t794 () (and @t793 @t333)) % 0.86/1.13 (define @t795 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t759 @t758)) % 0.86/1.13 (define @t796 () (tptp.hAPP @t733 @t123)) % 0.86/1.13 (define @t797 () (= @t131 @t10)) % 0.86/1.13 (define @t798 () (@var "V_one_2" $$unsorted)) % 0.86/1.13 (define @t799 () (@var "V_times_2" $$unsorted)) % 0.86/1.13 (define @t800 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t43 @t798 @t799) @t79)) % 0.86/1.13 (define @t801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t131)) % 0.86/1.13 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t50)) % 0.86/1.13 (define @t803 () (tptp.hAPP @t768 @t131)) % 0.86/1.13 (define @t804 () (=> @t793 @t238)) % 0.86/1.13 (define @t805 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t759 @t758)) % 0.86/1.13 (define @t806 () (@list @t50 @t52 @t43)) % 0.86/1.13 (define @t807 () (tptp.hAPP @t210 @t589)) % 0.86/1.13 (define @t808 () (tptp.hBOOL (tptp.hAPP @t807 @t784))) % 0.86/1.13 (define @t809 () (@list @t784 @t589)) % 0.86/1.13 (define @t810 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t271)) % 0.86/1.13 (define @t811 () (= @t45 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t271 (tptp.hAPP (tptp.hAPP @t733 @t45) @t94)))) % 0.86/1.13 (define @t812 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t45)) % 0.86/1.13 (define @t813 () (@list @t94 @t271 @t45)) % 0.86/1.13 (define @t814 () (@var "V_q_H" $$unsorted)) % 0.86/1.13 (define @t815 () (@var "V_b_H" $$unsorted)) % 0.86/1.13 (define @t816 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t815)) % 0.86/1.13 (define @t817 () (@var "V_r_H" $$unsorted)) % 0.86/1.13 (define @t818 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t817 @t815)) % 0.86/1.13 (define @t819 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t733 @t815) @t814) @t817)) % 0.86/1.13 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t819)) % 0.86/1.13 (define @t821 () (@list @t817 @t814 @t815)) % 0.86/1.13 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t814 @t94)) % 0.86/1.13 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t815 @t113)) % 0.86/1.13 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t817)) % 0.86/1.13 (define @t825 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t271 @t113)) % 0.86/1.13 (define @t826 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t545)) % 0.86/1.13 (define @t827 () (tptp.hAPP @t733 @t113)) % 0.86/1.13 (define @t828 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t827 @t94) @t271)) % 0.86/1.13 (define @t829 () (= @t828 @t819)) % 0.86/1.13 (define @t830 () (@list @t817 @t814 @t815 @t271 @t94 @t113)) % 0.86/1.13 (define @t831 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t94 @t814)) % 0.86/1.13 (define @t832 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t827 @t814) @t817) @t828)) % 0.86/1.13 (define @t833 () (@list @t271 @t94 @t817 @t814 @t113)) % 0.86/1.13 (define @t834 () (tptp.hBOOL (tptp.hAPP @t137 @t76))) % 0.86/1.13 (define @t835 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t759) @t758))) % 0.86/1.13 (define @t836 () (tptp.hAPP @t775 @t721)) % 0.86/1.13 (define @t837 () (tptp.hAPP @t776 @t721)) % 0.86/1.13 (define @t838 () (@var "V_r_2" $$unsorted)) % 0.86/1.13 (define @t839 () (= @t838 @t59)) % 0.86/1.13 (define @t840 () (= @t144 @t59)) % 0.86/1.13 (define @t841 () (tptp.class_RealVector_Oreal__normed__algebra @t43)) % 0.86/1.13 (define @t842 () (@list @t69 @t43)) % 0.86/1.13 (define @t843 () (tptp.c_Polynomial_Osmult @t43 @t45 @t51)) % 0.86/1.13 (define @t844 () (tptp.c_Polynomial_Opdivmod__rel @t43 @t51 @t69 @t94 @t271)) % 0.86/1.13 (define @t845 () (@var "V_r2" $$unsorted)) % 0.86/1.13 (define @t846 () (@var "V_r1" $$unsorted)) % 0.86/1.13 (define @t847 () (= @t846 @t845)) % 0.86/1.13 (define @t848 () (@var "V_q2" $$unsorted)) % 0.86/1.13 (define @t849 () (@var "V_q1" $$unsorted)) % 0.86/1.13 (define @t850 () (= @t849 @t848)) % 0.86/1.13 (define @t851 () (tptp.c_Polynomial_Opdivmod__rel @t43 @t51 @t69 @t848 @t845)) % 0.86/1.13 (define @t852 () (tptp.c_Polynomial_Opdivmod__rel @t43 @t51 @t69 @t849 @t846)) % 0.86/1.13 (define @t853 () (@list @t845 @t848 @t846 @t849 @t69 @t51 @t43)) % 0.86/1.13 (define @t854 () (tptp.hAPP @t548 @t69)) % 0.86/1.13 (define @t855 () (@var "V_ya" $$unsorted)) % 0.86/1.13 (define @t856 () (tptp.hAPP @t708 @t855)) % 0.86/1.13 (define @t857 () (tptp.hAPP @t594 @t855)) % 0.86/1.13 (define @t858 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t51 @t69)) % 0.86/1.13 (define @t859 () (@list @t855 @t69 @t51 @t43)) % 0.86/1.13 (define @t860 () (@var "V_a_H" $$unsorted)) % 0.86/1.13 (define @t861 () (tptp.hAPP (tptp.hAPP @t572 @t860) @t113)) % 0.86/1.13 (define @t862 () (@list @t113 @t860 @t45 @t43)) % 0.86/1.13 (define @t863 () (@var "V_xa" $$unsorted)) % 0.86/1.13 (define @t864 () (tptp.hAPP @t572 @t863)) % 0.86/1.13 (define @t865 () (tptp.hAPP @t864 @t69)) % 0.86/1.13 (define @t866 () (tptp.hAPP @t864 @t51)) % 0.86/1.13 (define @t867 () (@list @t69 @t51 @t863 @t43)) % 0.86/1.13 (define @t868 () (tptp.hAPP @t573 @t815)) % 0.86/1.13 (define @t869 () (@list @t815 @t113 @t45 @t43)) % 0.86/1.13 (define @t870 () (@var "B_i" $$unsorted)) % 0.86/1.13 (define @t871 () (tptp.hBOOL (tptp.hAPP @t341 @t10))) % 0.86/1.13 (define @t872 () (not @t871)) % 0.86/1.13 (define @t873 () (tptp.c_Polynomial_Ocoeff @t43 @t52)) % 0.86/1.13 (define @t874 () (tptp.hAPP @t873 @t50)) % 0.86/1.13 (define @t875 () (= @t874 @t44)) % 0.86/1.13 (define @t876 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t380)) % 0.86/1.13 (define @t877 () (tptp.c_Polynomial_Ocoeff @t43 @t94)) % 0.86/1.13 (define @t878 () (tptp.hAPP @t877 @t200)) % 0.86/1.13 (define @t879 () (tptp.hAPP @t873 @t125)) % 0.86/1.13 (define @t880 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t575) @t50)) % 0.86/1.13 (define @t881 () (tptp.hAPP @t877 @t50)) % 0.86/1.13 (define @t882 () (@list @t50 @t94 @t52 @t43)) % 0.86/1.13 (define @t883 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t45 @t113)) % 0.86/1.13 (define @t884 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t883)) % 0.86/1.13 (define @t885 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t50)) % 0.86/1.13 (define @t886 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t131)) % 0.86/1.13 (define @t887 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t206 @t222)) % 0.86/1.13 (define @t888 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t887 @t123)) % 0.86/1.13 (define @t889 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t79 @t187)) % 0.86/1.13 (define @t890 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t132 @t50)) % 0.86/1.13 (define @t891 () (tptp.hBOOL (tptp.hAPP @t400 @t885))) % 0.86/1.13 (define @t892 () (tptp.hBOOL (tptp.hAPP @t400 @t131))) % 0.86/1.13 (define @t893 () (tptp.c_Groups_Ominus__class_Ominus @t56 @t52 @t94)) % 0.86/1.13 (define @t894 () (tptp.c_Polynomial_Ocoeff @t43 @t63)) % 0.86/1.13 (define @t895 () (= @t889 (tptp.c_Groups_Ominus__class_Ominus @t43 @t140 @t589))) % 0.86/1.13 (define @t896 () (@var "V_B_2" $$unsorted)) % 0.86/1.13 (define @t897 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t76 @t436)) % 0.86/1.13 (define @t898 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t436)) % 0.86/1.13 (define @t899 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t436 @t76)) % 0.86/1.13 (define @t900 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t436 @t101)) % 0.86/1.13 (define @t901 () (@list @t427 @t50 @t131)) % 0.86/1.13 (define @t902 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t427 @t131)) % 0.86/1.13 (define @t903 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t427 @t50)) % 0.86/1.13 (define @t904 () (= @t885 @t10)) % 0.86/1.13 (define @t905 () (= @t889 @t44)) % 0.86/1.13 (define @t906 () (tptp.c_Polynomial_Ocoeff @t43 @t195)) % 0.86/1.13 (define @t907 () (@list @t50 @t52 @t45 @t43)) % 0.86/1.13 (define @t908 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t380)) % 0.86/1.13 (define @t909 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t123)) % 0.86/1.13 (define @t910 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t222)) % 0.86/1.13 (define @t911 () (@list @t206 @t222 @t123)) % 0.86/1.13 (define @t912 () (@var "V_i_2" $$unsorted)) % 0.86/1.13 (define @t913 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t912 @t436)) % 0.86/1.13 (define @t914 () (@var "V_j_2" $$unsorted)) % 0.86/1.13 (define @t915 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t914 @t436)) % 0.86/1.13 (define @t916 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t885) @t131)) % 0.86/1.13 (define @t917 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t425 @t123)) % 0.86/1.13 (define @t918 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t206 @t909)) % 0.86/1.13 (define @t919 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t914 @t912)) % 0.86/1.13 (define @t920 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t912 @t914)) % 0.86/1.13 (define @t921 () (@list @t436 @t914 @t912)) % 0.86/1.13 (define @t922 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t123)) % 0.86/1.13 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t909 @t206)) % 0.86/1.13 (define @t924 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t51 @t69)) % 0.86/1.13 (define @t925 () (= @t883 (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t529))) % 0.86/1.13 (define @t926 () (tptp.hAPP @t572 (tptp.c_Groups_Ominus__class_Ominus @t43 @t51 @t45))) % 0.86/1.13 (define @t927 () (tptp.hAPP @t926 @t113)) % 0.86/1.13 (define @t928 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t69 @t113)) % 0.86/1.13 (define @t929 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t596 @t574)) % 0.86/1.13 (define @t930 () (@list @t113 @t45 @t69 @t51 @t43)) % 0.86/1.13 (define @t931 () (@var "V_e_2" $$unsorted)) % 0.86/1.13 (define @t932 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP (tptp.hAPP @t572 @t889) @t931) @t140)) % 0.86/1.13 (define @t933 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t587 @t931) @t589)) % 0.86/1.13 (define @t934 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t590 @t931) @t140)) % 0.86/1.13 (define @t935 () (= @t934 @t933)) % 0.86/1.13 (define @t936 () (@list @t589 @t187 @t140 @t931 @t79 @t43)) % 0.86/1.13 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP (tptp.hAPP @t572 (tptp.c_Groups_Ominus__class_Ominus @t43 @t187 @t79)) @t931) @t589)) % 0.86/1.13 (define @t938 () (tptp.hAPP @t572 @t924)) % 0.86/1.13 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t934 @t933)) % 0.86/1.13 (define @t940 () (tptp.c_Orderings_Oord__class_Oless @t43 @t934 @t933)) % 0.86/1.13 (define @t941 () (@var "V_D_2" $$unsorted)) % 0.86/1.13 (define @t942 () (tptp.hAPP @t46 @t589)) % 0.86/1.13 (define @t943 () (@var "B_d" $$unsorted)) % 0.86/1.13 (define @t944 () (tptp.hBOOL (tptp.hAPP @t341 @t943))) % 0.86/1.13 (define @t945 () (= @t79 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t187 @t943))) % 0.86/1.13 (define @t946 () (@list @t943)) % 0.86/1.13 (define @t947 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t187)) % 0.86/1.13 (define @t948 () (tptp.hBOOL (tptp.hAPP @t341 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t187)))) % 0.86/1.13 (define @t949 () (@list @t187 @t79 @t341)) % 0.86/1.13 (define @t950 () (tptp.c_Nat_OSuc @t222)) % 0.86/1.13 (define @t951 () (tptp.c_Nat_OSuc @t909)) % 0.86/1.13 (define @t952 () (@list @t131 @t222 @t123)) % 0.86/1.13 (define @t953 () (@var "V_u_2" $$unsorted)) % 0.86/1.13 (define @t954 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t912 @t914)) @t953) @t101)) % 0.86/1.13 (define @t955 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 @t914) @t953) @t76)) % 0.86/1.13 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 @t912) @t953) @t101)) % 0.86/1.13 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t956 @t955)) % 0.86/1.13 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t914 @t912)) % 0.86/1.13 (define @t959 () (@list @t76 @t101 @t953 @t912 @t914)) % 0.86/1.13 (define @t960 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t837 @t131) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t836 @t50))) % 0.86/1.13 (define @t961 () (= @t956 @t955)) % 0.86/1.13 (define @t962 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 @t919) @t953) @t76)) % 0.86/1.13 (define @t963 () (@list @t76 @t101 @t953 @t914 @t912)) % 0.86/1.13 (define @t964 () (tptp.hAPP @t894 @t139)) % 0.86/1.13 (define @t965 () (tptp.c_Nat_OSuc @t876)) % 0.86/1.13 (define @t966 () (not @t797)) % 0.86/1.13 (define @t967 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t956 @t955)) % 0.86/1.13 (define @t968 () (tptp.hAPP @t98 @t52)) % 0.86/1.13 (define @t969 () (tptp.hAPP @t968 @t131)) % 0.86/1.13 (define @t970 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t364) @t50)) % 0.86/1.13 (define @t971 () (tptp.hAPP @t55 @t131)) % 0.86/1.13 (define @t972 () (tptp.hAPP @t971 @t50)) % 0.86/1.13 (define @t973 () (tptp.c_Polynomial_Opos__poly @t43 (tptp.c_Groups_Ominus__class_Ominus @t56 @t144 @t100))) % 0.86/1.13 (define @t974 () (tptp.hAPP @t210 @t123)) % 0.86/1.13 (define @t975 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t173 @t555)) % 0.86/1.13 (define @t976 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t173 @t746)) % 0.86/1.13 (define @t977 () (tptp.c_Polynomial_Odegree @t43 @t893)) % 0.86/1.13 (define @t978 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t736 @t732)) % 0.86/1.13 (define @t979 () (tptp.c_Polynomial_OpCons @t43 @t45 @t271)) % 0.86/1.13 (define @t980 () (tptp.c_Polynomial_OpCons @t43 @t45 @t51)) % 0.86/1.13 (define @t981 () (tptp.c_Polynomial_Odegree @t43 @t69)) % 0.86/1.13 (define @t982 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t69) @t981)) % 0.86/1.13 (define @t983 () (not (= @t69 @t59))) % 0.86/1.13 (define @t984 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t113 @t111)) % 0.86/1.13 (define @t985 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t45 @t111)) % 0.86/1.13 (define @t986 () (tptp.class_Rings_Odivision__ring @t43)) % 0.86/1.13 (define @t987 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t69 @t855)) % 0.86/1.13 (define @t988 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t51 @t855)) % 0.86/1.13 (define @t989 () (tptp.class_RealVector_Oreal__normed__field @t43)) % 0.86/1.13 (define @t990 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t45 @t113)) % 0.86/1.13 (define @t991 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t990)) % 0.86/1.13 (define @t992 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t45 @t45)) % 0.86/1.13 (define @t993 () (=> @t91 (= @t992 @t273))) % 0.86/1.13 (define @t994 () (tptp.class_Rings_Odivision__ring__inverse__zero @t43)) % 0.86/1.13 (define @t995 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t79 @t187)) % 0.86/1.13 (define @t996 () (= (tptp.hAPP (tptp.hAPP @t55 @t990) @t50) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t89 @t251))) % 0.86/1.13 (define @t997 () (tptp.class_Fields_Ofield__inverse__zero @t43)) % 0.86/1.13 (define @t998 () (= @t991 (tptp.c_Rings_Oinverse__class_Odivide @t43 @t45 @t529))) % 0.86/1.13 (define @t999 () (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t509 @t529) @t990)) % 0.86/1.13 (define @t1000 () (not (= @t111 @t44))) % 0.86/1.13 (define @t1001 () (= @t187 @t591)) % 0.86/1.13 (define @t1002 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t187 @t140)) % 0.86/1.13 (define @t1003 () (= @t1002 @t79)) % 0.86/1.13 (define @t1004 () (not @t690)) % 0.86/1.13 (define @t1005 () (@list @t79 @t187 @t140 @t43)) % 0.86/1.13 (define @t1006 () (= @t591 @t187)) % 0.86/1.13 (define @t1007 () (= @t79 @t1002)) % 0.86/1.13 (define @t1008 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t51 @t69)) % 0.86/1.13 (define @t1009 () (not @t681)) % 0.86/1.13 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t187 @t591)) % 0.86/1.13 (define @t1011 () (not @t683)) % 0.86/1.13 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t591 @t187)) % 0.86/1.13 (define @t1013 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t79 @t1002)) % 0.86/1.13 (define @t1014 () (tptp.class_Fields_Olinordered__field__inverse__zero @t43)) % 0.86/1.13 (define @t1015 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t1002 @t79)) % 0.86/1.13 (define @t1016 () (@list @t79 @t140 @t187 @t43)) % 0.86/1.13 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless @t43 @t985 @t984)) % 0.86/1.13 (define @t1018 () (tptp.class_Fields_Olinordered__field @t43)) % 0.86/1.13 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t1008)) % 0.86/1.13 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless @t43 @t69 @t44)) % 0.86/1.13 (define @t1021 () (tptp.c_Orderings_Oord__class_Oless @t43 @t51 @t44)) % 0.86/1.13 (define @t1022 () (tptp.c_Orderings_Oord__class_Oless @t43 @t1008 @t44)) % 0.86/1.13 (define @t1023 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t69)) % 0.86/1.13 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t51)) % 0.86/1.13 (define @t1025 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t187)) % 0.86/1.13 (define @t1026 () (tptp.c_Orderings_Oord__class_Oless @t43 @t187 @t44)) % 0.86/1.13 (define @t1027 () (=> @t690 @t80)) % 0.86/1.13 (define @t1028 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t1008)) % 0.86/1.13 (define @t1029 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t51 @t44)) % 0.86/1.13 (define @t1030 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t1008 @t44)) % 0.86/1.13 (define @t1031 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t69 @t555)) % 0.86/1.13 (define @t1032 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t51 @t173)) % 0.86/1.13 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t555 @t173)) % 0.86/1.13 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t555)) % 0.86/1.13 (define @t1035 () (@list @t173 @t555 @t69 @t51 @t43)) % 0.86/1.13 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless @t43 @t1032 @t1031)) % 0.86/1.13 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless @t43 @t187 @t591)) % 0.86/1.13 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless @t43 @t591 @t187)) % 0.86/1.13 (define @t1039 () (tptp.c_Orderings_Oord__class_Oless @t43 @t79 @t1002)) % 0.86/1.13 (define @t1040 () (tptp.c_Orderings_Oord__class_Oless @t43 @t1002 @t79)) % 0.86/1.13 (define @t1041 () (tptp.hAPP @t572 @t173)) % 0.86/1.13 (define @t1042 () (tptp.hAPP @t1041 @t69)) % 0.86/1.13 (define @t1043 () (@list @t51 @t173 @t69 @t43)) % 0.86/1.13 (define @t1044 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t111 @t113)) % 0.86/1.13 (define @t1045 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t111 @t45)) % 0.86/1.13 (define @t1046 () (=> @t674 (tptp.c_Orderings_Oord__class_Oless @t43 @t1045 @t1044))) % 0.86/1.13 (define @t1047 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t51 @t1042)) % 0.86/1.13 (define @t1048 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t1047 @t69)) % 0.86/1.13 (define @t1049 () (not (= @t69 @t44))) % 0.86/1.13 (define @t1050 () (tptp.hAPP @t1041 @t51)) % 0.86/1.13 (define @t1051 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t69 @t173)) % 0.86/1.13 (define @t1052 () (not (= @t173 @t44))) % 0.86/1.13 (define @t1053 () (@list @t69 @t51 @t173 @t43)) % 0.86/1.13 (define @t1054 () (tptp.hAPP @t708 @t173)) % 0.86/1.13 (define @t1055 () (tptp.hAPP (tptp.hAPP @t572 @t555) @t69)) % 0.86/1.13 (define @t1056 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t555 @t173)) % 0.86/1.13 (define @t1057 () (@list @t555 @t51 @t173 @t69 @t43)) % 0.86/1.13 (define @t1058 () (tptp.c_Rings_Oinverse__class_Odivide @t43 @t302 @t299)) % 0.86/1.13 (define @t1059 () (=> @t674 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t1045 @t1044))) % 0.86/1.13 (define @t1060 () (tptp.c_Divides_Odiv__class_Omod @t56 @t51 @t69)) % 0.86/1.13 (define @t1061 () (tptp.c_Polynomial_OpCons @t43 @t45 @t1060)) % 0.86/1.13 (define @t1062 () (@list @t69 @t51 @t45 @t43)) % 0.86/1.13 (define @t1063 () (tptp.class_Divides_Osemiring__div @t43)) % 0.86/1.13 (define @t1064 () (tptp.c_Divides_Odiv__class_Omod @t43 @t45 @t113)) % 0.86/1.13 (define @t1065 () (tptp.hAPP @t46 @t123)) % 0.86/1.13 (define @t1066 () (@var "T_1" $$unsorted)) % 0.86/1.13 (define @t1067 () (tptp.tc_Polynomial_Opoly @t1066)) % 0.86/1.13 (define @t1068 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1066)) % 0.86/1.13 (define @t1069 () (@list @t1066)) % 0.86/1.13 (define @t1070 () (@var "T_2" $$unsorted)) % 0.86/1.13 (define @t1071 () (tptp.tc_fun @t1070 @t1066)) % 0.86/1.13 (define @t1072 () (@list @t1070 @t1066)) % 0.86/1.13 (define @t1073 () (tptp.class_Rings_Oidom @t1066)) % 0.86/1.13 (define @t1074 () (tptp.class_Rings_Olinordered__idom @t1066)) % 0.86/1.13 (define @t1075 () (tptp.class_Rings_Ocomm__semiring__0 @t1066)) % 0.86/1.13 (define @t1076 () (tptp.class_Rings_Ocomm__semiring__1 @t1066)) % 0.86/1.13 (define @t1077 () (tptp.class_Groups_Ocomm__monoid__add @t1066)) % 0.86/1.13 (define @t1078 () (tptp.class_Groups_Oab__group__add @t1066)) % 0.86/1.13 (define @t1079 () (tptp.class_Rings_Ocomm__ring__1 @t1066)) % 0.86/1.13 (define @t1080 () (tptp.class_Rings_Ocomm__ring @t1066)) % 0.86/1.13 (define @t1081 () (tptp.hBOOL (tptp.c_fequal @t100 @t144))) % 0.86/1.13 (define @t1082 () (not @t32)) % 0.86/1.13 (define @t1083 () (= @t25 @t27)) % 0.86/1.13 (define @t1084 () (= @t25 @t29)) % 0.86/1.13 (define @t1085 () (forall @t6 (or (not @t1084) @t1083))) % 0.86/1.13 (define @t1086 () (= @t25 @t34)) % 0.86/1.13 (define @t1087 () (= @t25 @t35)) % 0.86/1.13 (define @t1088 () (not @t1087)) % 0.86/1.13 (define @t1089 () (or @t1088 @t1086)) % 0.86/1.13 (define @t1090 () (forall @t39 @t1089)) % 0.86/1.13 (define @t1091 () (not @t37)) % 0.86/1.13 (define @t1092 () (or @t1091 @t1089)) % 0.86/1.13 (define @t1093 () (or @t1091 @t1088 @t1086)) % 0.86/1.13 (define @t1094 () (=> @t1087 @t1086)) % 0.86/1.13 (define @t1095 () (and @t9 (= @t8 tptp.v_q))) % 0.86/1.13 (define @t1096 () (not @t1095)) % 0.86/1.13 (define @t1097 () (or @t23 @t1095)) % 0.86/1.13 (define @t1098 () (not @t1097)) % 0.86/1.13 (define @t1099 () (not @t23)) % 0.86/1.13 (define @t1100 () (not @t15)) % 0.86/1.13 (define @t1101 () (and @t15 @t1091)) % 0.86/1.13 (define @t1102 () (@list false)) % 0.86/1.13 (define @t1103 () (@list @t1085)) % 0.86/1.13 (define @t1104 () (not @t41)) % 0.86/1.13 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.86/1.13 (assume @p2 (not @t9)) % 0.86/1.13 (assume @p3 @t13) % 0.86/1.13 (assume @p4 @t15) % 0.86/1.13 (assume @p5 (=> @t9 @t32)) % 0.86/1.13 (assume @p6 @t40) % 0.86/1.13 (assume @p7 @t42) % 0.86/1.13 (assume @p8 (=> @t12 @t32)) % 0.86/1.13 (assume @p9 (forall @t49 (=> @t48 (tptp.hBOOL (tptp.hAPP @t47 @t44))))) % 0.86/1.13 (assume @p10 (forall (@list @t51 @t50 @t52 @t43) (=> @t48 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t58) @t51) (tptp.hAPP (tptp.hAPP @t55 @t54) @t50))))) % 0.86/1.13 (assume @p11 (forall @t62 (=> @t61 (= (tptp.hAPP @t60 @t51) @t44)))) % 0.86/1.13 (assume @p12 (forall @t68 (=> @t67 (= (= @t65 @t60) @t64)))) % 0.86/1.13 (assume @p13 (forall (@list @t50 @t69 @t51 @t43) (=> @t48 (=> @t75 (tptp.hBOOL (tptp.hAPP @t73 (tptp.hAPP @t70 @t50))))))) % 0.86/1.13 (assume @p14 (forall @t87 (=> (and @t86 @t85 @t84 @t83) (= (= @t82 @t44) (and @t80 @t78))))) % 0.86/1.13 (assume @p15 (forall @t93 (=> @t92 (=> @t91 (not (= @t89 @t44)))))) % 0.86/1.13 (assume @p16 (forall @t49 (=> @t48 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t44) @t45)) @t90)))) % 0.86/1.13 (assume @p17 (forall (@list @t50 @t94 @t52) (=> (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t52) @t3) @t25) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t94) @t3) @t25))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t52) @t50) (=> @t96 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t20 @t52) (tptp.hAPP (tptp.hAPP @t17 @t94) @t50)))))))) % 0.86/1.13 (assume @p18 (forall (@list @t79 @t63 @t43) (=> @t66 (= (= (tptp.hAPP @t65 @t79) @t44) (or @t64 (not (= (tptp.c_Polynomial_Oorder @t43 @t79 @t63) @t10))))))) % 0.86/1.13 (assume @p19 (forall @t99 (= (tptp.hAPP (tptp.hAPP @t98 @t97) @t50) @t97))) % 0.86/1.13 (assume @p20 (forall (@list @t101 @t100) (= (= (tptp.hAPP @t103 @t101) @t97) (or @t102 (= @t100 @t97))))) % 0.60/1.13 (assume @p21 (forall @t108 (=> @t107 (= (tptp.hAPP @t105 @t104) @t44)))) % 0.60/1.13 (assume @p22 (forall @t110 (=> @t109 (= (tptp.c_Polynomial_Odegree @t43 @t59) @t10)))) % 0.60/1.13 (assume @p23 (forall @t117 (=> @t48 (=> @t116 (=> @t115 @t112))))) % 0.60/1.13 (assume @p24 (forall @t49 (=> @t48 (tptp.hBOOL (tptp.hAPP @t47 @t45))))) % 0.60/1.13 (assume @p25 (forall @t120 (=> @t67 (= (= @t65 (tptp.c_Polynomial_Opoly @t43 @t118)) @t119)))) % 0.60/1.13 (assume @p26 (not (forall @t122 (not (= @t11 (tptp.c_Nat_OSuc @t121)))))) % 0.60/1.13 (assume @p27 (forall (@list @t123) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t97) @t123)))) % 0.60/1.13 (assume @p28 (forall @t130 (=> @t109 (and (=> @t128 (= @t127 @t10)) (=> @t129 (= @t127 @t126)))))) % 0.60/1.13 (assume @p29 (forall @t133 (not (= @t10 @t132)))) % 0.60/1.13 (assume @p30 (forall (@list @t134) (not (= @t10 (tptp.c_Nat_OSuc @t134))))) % 0.60/1.13 (assume @p31 (forall @t133 (not (= @t132 @t10)))) % 0.60/1.13 (assume @p32 (forall (@list @t135) (not (= (tptp.c_Nat_OSuc @t135) @t10)))) % 0.60/1.13 (assume @p33 (forall @t138 (= (tptp.hBOOL (tptp.hAPP @t137 @t97)) @t136))) % 0.60/1.13 (assume @p34 (forall @t141 (=> @t61 (= (= (tptp.c_Polynomial_Osynthetic__div @t43 @t63 @t140) @t59) (= @t139 @t10))))) % 0.60/1.13 (assume @p35 (forall @t143 (tptp.hBOOL (tptp.hAPP @t142 @t51)))) % 0.60/1.13 (assume @p36 (forall @t148 (= @t147 (and @t146 @t145)))) % 0.60/1.13 (assume @p37 (forall @t148 (= @t146 (or @t149 @t147)))) % 0.60/1.13 (assume @p38 (forall @t148 (= @t149 (and @t146 @t150)))) % 0.60/1.13 (assume @p39 (forall @t158 (=> @t157 (=> @t154 @t155)))) % 0.60/1.13 (assume @p40 (forall @t161 (=> @t160 @t159))) % 0.60/1.13 (assume @p41 (forall (@list @t100 @t144) (=> @t145 (= @t146 @t147)))) % 0.60/1.13 (assume @p42 (forall @t161 (=> @t159 (or @t164 @t160)))) % 0.60/1.13 (assume @p43 (forall @t158 (=> @t154 (=> @t157 @t155)))) % 0.60/1.13 (assume @p44 (forall @t167 (=> @t156 (=> @t166 @t165)))) % 0.60/1.13 (assume @p45 (forall @t167 (=> @t154 (=> @t168 @t165)))) % 0.60/1.13 (assume @p46 (forall @t172 (=> @t171 (=> @t170 @t169)))) % 0.60/1.13 (assume @p47 (forall @t161 (=> @t159 (=> @t163 @t160)))) % 0.60/1.13 (assume @p48 (forall @t176 (=> @t159 (=> @t175 @t174)))) % 0.60/1.13 (assume @p49 (forall @t167 (=> @t156 (=> (and @t166 (not (tptp.hBOOL (tptp.hAPP @t177 @t113)))) @t178)))) % 0.60/1.13 (assume @p50 (forall @t176 (=> @t159 @t181))) % 0.60/1.13 (assume @p51 (forall @t161 (=> @t164 @t182))) % 0.60/1.13 (assume @p52 (forall @t161 (=> @t164 (not (and @t163 (not @t159)))))) % 0.60/1.13 (assume @p53 (forall @t161 (=> @t164 @t159))) % 0.60/1.13 (assume @p54 (forall @t161 (=> @t164 @t183))) % 0.60/1.13 (assume @p55 (forall @t167 (=> @t155 (=> @t168 @t178)))) % 0.60/1.13 (assume @p56 (forall @t176 (=> @t164 (=> @t175 @t180)))) % 0.60/1.13 (assume @p57 (forall @t158 (=> @t155 (not (and @t152 (not @t154)))))) % 0.60/1.13 (assume @p58 (forall @t176 (=> @t164 @t181))) % 0.60/1.13 (assume @p59 (forall (@list @t111 @t43) (=> @t61 (= (tptp.c_Polynomial_Osynthetic__div @t43 @t59 @t111) @t59)))) % 0.60/1.13 (assume @p60 (forall @t161 (=> (= (tptp.c_Nat_OSuc @t51) (tptp.c_Nat_OSuc @t69)) @t160))) % 0.60/1.13 (assume @p61 (forall (@list @t184 @t185) (= (= (tptp.c_Nat_OSuc @t185) (tptp.c_Nat_OSuc @t184)) (= @t185 @t184)))) % 0.60/1.13 (assume @p62 (forall @t99 (not (= @t104 @t50)))) % 0.60/1.13 (assume @p63 (forall @t99 (not (= @t50 @t104)))) % 0.60/1.13 (assume @p64 (forall @t68 (=> @t109 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t43 @t63) @t10) @t64)))) % 0.60/1.13 (assume @p65 (forall @t186 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 (tptp.hAPP (tptp.hAPP @t98 @t45) @t50)) (tptp.hAPP (tptp.hAPP @t98 @t113) @t50))) (=> @t96 @t154)))) % 0.60/1.13 (assume @p66 (forall @t188 (=> @t78 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 (tptp.hAPP (tptp.hAPP @t98 @t79) @t76)) (tptp.hAPP (tptp.hAPP @t98 @t187) @t76))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t79) @t187)))))) % 0.60/1.13 (assume @p67 (forall @t143 (tptp.hBOOL (tptp.hAPP @t142 @t10)))) % 0.60/1.13 (assume @p68 (forall (@list @t43 @t189 @t2 @t190) (=> @t194 (=> @t193 (= (tptp.c_Polynomial_Opoly__rec @t43 @t190 @t189 @t2 @t192) @t189))))) % 0.60/1.13 (assume @p69 (forall @t198 (=> @t109 (and (=> @t128 (= @t196 @t10)) @t197)))) % 0.60/1.13 (assume @p70 (forall @t198 (=> @t66 (=> @t129 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t199 @t125))))) % 0.60/1.13 (assume @p71 (forall @t205 (=> @t66 (=> @t204 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t125 @t200)))))) % 0.60/1.13 (assume @p72 (forall @t209 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t206) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t208)))) % 0.60/1.13 (assume @p73 (forall @t186 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.hAPP (tptp.hAPP @t211 @t45) @t50)) (tptp.hAPP (tptp.hAPP @t211 @t113) @t50))) (=> @t96 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t45) @t113)))))) % 0.60/1.13 (assume @p74 (forall @t188 (=> @t78 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.hAPP (tptp.hAPP @t211 @t79) @t76)) (tptp.hAPP (tptp.hAPP @t211 @t187) @t76))) (tptp.hBOOL (tptp.hAPP @t212 @t187)))))) % 0.60/1.13 (assume @p75 (forall @t219 (=> @t218 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 @t217) @t118)) (and (=> @t80 @t216) (=> @t215 @t214)))))) % 0.60/1.13 (assume @p76 (forall @t99 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t50))) % 0.60/1.13 (assume @p77 (forall @t172 (=> @t221 (=> @t220 @t169)))) % 0.60/1.13 (assume @p78 (forall @t224 (=> @t223 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t222 @t123) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t206 @t123))))) % 0.60/1.13 (assume @p79 (forall @t172 (=> @t169 @t221))) % 0.60/1.13 (assume @p80 (forall @t172 (or @t221 @t220))) % 0.60/1.13 (assume @p81 (forall @t99 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t50))) % 0.60/1.13 (assume @p82 (forall (@list @t118 @t187 @t63 @t79 @t43) (=> @t109 (= (= @t226 (tptp.c_Polynomial_OpCons @t43 @t187 @t118)) (and @t225 @t119))))) % 0.60/1.13 (assume @p83 (forall @t228 (=> @t61 (=> (= @t227 @t195) @t128)))) % 0.60/1.13 (assume @p84 (forall @t231 (=> @t61 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t230 @t125)))) % 0.60/1.13 (assume @p85 (forall (@list @t63 @t79 @t2 @t189 @t43 @t190) (=> @t194 (= @t234 (tptp.hAPP @t233 (tptp.c_If @t43 (tptp.c_fequal @t63 @t192) @t189 @t232)))))) % 0.60/1.13 (assume @p86 (forall @t231 (=> @t109 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t126)))) % 0.60/1.13 (assume @p87 (forall @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t76 @t10) @t77))) % 0.60/1.13 (assume @p88 (forall @t99 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t50)))) % 0.60/1.13 (assume @p89 (forall @t239 (= (not @t238) @t237))) % 0.60/1.13 (assume @p90 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t236) (or @t238 (= @t101 @t236))))) % 0.60/1.13 (assume @p91 (forall @t241 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t236 @t240) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t76 @t101)))) % 0.60/1.13 (assume @p92 (forall @t172 (=> @t221 @t242))) % 0.60/1.13 (assume @p93 (forall @t172 (=> @t242 (=> (not @t221) (= @t131 @t104))))) % 0.60/1.13 (assume @p94 (forall @t172 (=> @t243 @t221))) % 0.60/1.13 (assume @p95 (forall @t49 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t45 @t59) @t59)))) % 0.60/1.13 (assume @p96 (forall (@list @t63 @t79 @t43 @t189 @t2 @t190) (=> @t194 (=> @t193 (= @t234 (tptp.hAPP @t233 @t232)))))) % 0.60/1.13 (assume @p97 (forall @t245 (=> @t48 (=> @t244 @t204)))) % 0.60/1.13 (assume @p98 (forall @t248 (=> @t48 (=> @t204 @t247)))) % 0.60/1.13 (assume @p99 (forall @t249 (=> @t109 (= (= @t226 @t59) (and @t80 @t64))))) % 0.60/1.13 (assume @p100 (forall @t110 (=> @t109 (= (tptp.c_Polynomial_OpCons @t43 @t44 @t59) @t59)))) % 0.60/1.13 (assume @p101 (forall @t255 (=> @t254 (=> @t253 (=> @t252 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t89 @t251)))))) % 0.60/1.13 (assume @p102 (forall @t93 (=> @t254 (=> @t252 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t89))))) % 0.60/1.13 (assume @p103 (forall @t249 (=> @t66 (= (= @t217 @t59) (or @t80 @t64))))) % 0.60/1.13 (assume @p104 (forall @t130 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t44 @t52) @t59)))) % 0.60/1.13 (assume @p105 (forall (@list @t131 @t113 @t50 @t45 @t43) (=> @t48 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t89) @t113)) (=> @t221 (tptp.hBOOL (tptp.hAPP @t257 @t113))))))) % 0.60/1.13 (assume @p106 (forall (@list @t131 @t50 @t69 @t51 @t43) (=> @t48 (=> @t75 (=> @t220 (tptp.hBOOL (tptp.hAPP @t73 (tptp.hAPP @t70 @t131)))))))) % 0.60/1.13 (assume @p107 (forall @t258 (=> @t48 (=> @t221 (tptp.hBOOL (tptp.hAPP @t257 @t89)))))) % 0.60/1.13 (assume @p108 (forall @t259 (=> @t218 (=> @t247 (=> @t91 @t204))))) % 0.60/1.13 (assume @p109 (forall @t248 (=> @t218 (=> @t204 (=> @t91 @t244))))) % 0.60/1.13 (assume @p110 (forall @t219 (=> @t218 (=> @t215 (= (tptp.hBOOL (tptp.hAPP @t213 (tptp.c_Polynomial_Osmult @t43 @t79 @t118))) @t214))))) % 0.60/1.13 (assume @p111 (forall (@list @t111 @t52 @t45 @t43) (=> @t61 (= (tptp.c_Polynomial_Osynthetic__div @t43 @t195 @t111) @t262)))) % 0.60/1.13 (assume @p112 (forall @t49 (=> @t109 (= (tptp.c_Polynomial_Odegree @t43 @t263) @t10)))) % 0.60/1.13 (assume @p113 (forall @t198 (=> @t109 @t197))) % 0.60/1.13 (assume @p114 (forall @t267 (=> @t254 (=> (= @t266 @t265) (=> @t252 (=> @t264 @t156)))))) % 0.60/1.13 (assume @p115 (forall @t267 (=> @t254 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t266 @t265) (=> @t264 @t253))))) % 0.60/1.13 (assume @p116 (forall @t231 (=> @t66 (and (=> @t90 (= @t230 @t10)) (=> @t91 (= @t230 @t125)))))) % 0.60/1.13 (assume @p117 (forall @t62 (=> @t268 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t51 @t51)))) % 0.60/1.13 (assume @p118 (forall (@list @t144 @t100 @t2 @t43) (=> @t270 (=> (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t43 @t124 @t2) (=> @t146 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t269 (tptp.hAPP @t2 @t144))))))) % 0.60/1.13 (assume @p119 (forall (@list @t271 @t94 @t111 @t52 @t43) (=> @t61 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t52 (tptp.c_Polynomial_Osmult @t43 @t111 @t94)) (tptp.c_Polynomial_OpCons @t43 @t271 @t94)) (and (= @t271 @t261) (= @t94 @t260)))))) % 0.60/1.13 (assume @p120 (forall @t272 (=> @t61 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t52 (tptp.c_Polynomial_Osmult @t43 @t111 @t260)) @t262)))) % 0.60/1.13 (assume @p121 (forall @t93 (=> @t48 (= (tptp.c_Polynomial_Odegree @t43 @t275) @t50)))) % 0.60/1.13 (assume @p122 (forall (@list @t276 @t45 @t43) (=> @t61 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t263 @t276) @t263)))) % 0.60/1.13 (assume @p123 (forall @t49 (=> @t109 (= (tptp.c_Polynomial_Omonom @t43 @t45 @t10) @t263)))) % 0.60/1.13 (assume @p124 (forall @t267 (=> @t254 (=> (= @t89 @t251) (=> @t252 (=> @t264 (=> @t277 @t156))))))) % 0.60/1.13 (assume @p125 (forall @t281 (=> @t254 (=> @t280 (=> @t252 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t45 @t273) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t279 @t89))))))) % 0.60/1.13 (assume @p126 (forall @t93 (=> @t109 (= (tptp.c_Polynomial_Omonom @t43 @t45 @t104) (tptp.c_Polynomial_OpCons @t43 @t44 @t282))))) % 0.60/1.13 (assume @p127 (forall @t99 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t10)))) % 0.60/1.13 (assume @p128 (forall @t172 (=> @t284 @t283))) % 0.60/1.13 (assume @p129 (forall @t99 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t104))) % 0.60/1.13 (assume @p130 (forall @t99 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t104))) % 0.60/1.13 (assume @p131 (forall @t289 (=> @t254 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t287 @t286) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t144)))))) % 0.60/1.13 (assume @p132 (forall @t291 (=> @t254 (=> @t290 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t256 @t89) @t284))))) % 0.60/1.13 (assume @p133 (forall @t281 (=> @t254 (=> @t292 (=> @t290 (tptp.c_Orderings_Oord__class_Oless @t43 @t89 @t279)))))) % 0.60/1.13 (assume @p134 (forall @t117 (=> @t254 (=> @t297 @t296)))) % 0.60/1.13 (assume @p135 (forall @t110 (=> @t254 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t44))))) % 0.60/1.13 (assume @p136 (forall @t110 (=> @t254 (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t273)))) % 0.60/1.13 (assume @p137 (forall (@list @t76 @t101 @t79 @t43) (=> @t254 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t79) (= (= (tptp.hAPP @t81 @t101) @t82) @t298))))) % 0.60/1.13 (assume @p138 (forall @t110 (=> @t254 (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t299)))) % 0.60/1.13 (assume @p139 (forall @t49 (=> @t254 (tptp.c_Orderings_Oord__class_Oless @t43 @t45 @t300)))) % 0.60/1.13 (assume @p140 (forall (@list @t187 @t76 @t79 @t43) (=> @t109 (= (= @t301 (tptp.c_Polynomial_Omonom @t43 @t187 @t76)) @t225)))) % 0.60/1.13 (assume @p141 (forall @t267 (=> @t304 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t282 @t303) (tptp.c_Polynomial_Omonom @t43 @t302 @t50))))) % 0.60/1.13 (assume @p142 (forall @t310 (=> @t309 @t308))) % 0.60/1.13 (assume @p143 (forall @t310 (=> @t311 (=> @t307 (=> @t182 @t305))))) % 0.60/1.13 (assume @p144 (forall @t310 (=> @t268 (=> @t306 (not @t305))))) % 0.60/1.13 (assume @p145 (forall @t314 (=> @t270 (=> @t305 @t313)))) % 0.60/1.13 (assume @p146 (forall @t317 (=> @t268 (=> @t306 @t316)))) % 0.60/1.13 (assume @p147 (forall @t320 (=> @t270 (=> @t319 (=> @t168 @t318))))) % 0.60/1.13 (assume @p148 (forall @t117 (=> @t323 (=> @t322 (=> @t168 @t321))))) % 0.60/1.13 (assume @p149 (forall @t117 (=> @t270 (=> @t156 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t111 @t113) @t318))))) % 0.60/1.13 (assume @p150 (forall @t117 (=> @t323 (=> @t156 (=> @t295 @t321))))) % 0.60/1.13 (assume @p151 (forall @t324 (=> @t270 (=> @t319 (not @t322))))) % 0.60/1.13 (assume @p152 (forall @t325 (=> @t268 (=> @t322 (not @t319))))) % 0.60/1.13 (assume @p153 (forall @t310 (=> @t270 (=> @t306 @t183)))) % 0.60/1.13 (assume @p154 (forall @t310 (=> @t270 (=> @t306 @t182)))) % 0.60/1.13 (assume @p155 (forall @t310 (=> @t311 @t308))) % 0.60/1.13 (assume @p156 (forall @t330 (=> @t311 (=> (not @t329) @t328)))) % 0.60/1.13 (assume @p157 (forall @t310 (=> @t311 (or @t306 @t160 @t305)))) % 0.60/1.13 (assume @p158 (forall @t331 (=> @t311 (= @t327 (or @t329 @t147))))) % 0.60/1.13 (assume @p159 (forall @t331 (=> @t311 (= @t150 (or @t326 @t329))))) % 0.60/1.13 (assume @p160 (forall @t62 (=> @t268 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t51 @t51))))) % 0.60/1.13 (assume @p161 (forall @t99 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t50)))) % 0.60/1.13 (assume @p162 (forall @t239 (= @t334 (or @t333 @t332)))) % 0.60/1.13 (assume @p163 (forall @t161 (=> @t182 (=> (not @t335) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t69 @t51))))) % 0.60/1.13 (assume @p164 (forall @t338 (=> @t337 @t336))) % 0.60/1.13 (assume @p165 (forall (@list @t339 @t340) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t340 @t339) (not (= @t340 @t339))))) % 0.60/1.13 (assume @p166 (forall (@list @t341 @t76 @t101) (=> (=> @t333 @t343) (=> (=> @t298 @t343) (=> (=> @t332 @t343) @t343))))) % 0.60/1.13 (assume @p167 (forall @t346 (=> @t304 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t195 @t345) (tptp.c_Polynomial_OpCons @t43 @t302 @t344))))) % 0.60/1.13 (assume @p168 (forall (@list @t52 @t94 @t43) (=> @t304 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t125) (= @t347 @t125))))) % 0.60/1.13 (assume @p169 (forall @t205 (=> @t304 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t125 @t200) (= @t347 @t200))))) % 0.60/1.13 (assume @p170 (forall @t350 (=> @t304 (=> @t349 (=> @t348 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t347 @t50)))))) % 0.60/1.13 (assume @p171 (forall @t352 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t344) @t51) (tptp.c_Groups_Oplus__class_Oplus @t43 @t54 @t351))))) % 0.60/1.13 (assume @p172 (forall @t354 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t302 @t52) (tptp.c_Groups_Oplus__class_Oplus @t56 @t229 @t353))))) % 0.60/1.13 (assume @p173 (forall @t314 (=> @t270 (=> @t355 @t313)))) % 0.60/1.13 (assume @p174 (forall @t317 (=> @t268 (=> @t356 @t316)))) % 0.60/1.13 (assume @p175 (forall @t314 (=> @t270 (=> @t305 (=> @t357 @t312))))) % 0.60/1.13 (assume @p176 (forall @t317 (=> @t268 (=> @t306 (=> @t358 @t315))))) % 0.60/1.13 (assume @p177 (forall @t324 (=> @t270 (=> @t359 (=> @t157 @t319))))) % 0.60/1.13 (assume @p178 (forall @t325 (=> @t270 (=> @t253 (=> @t157 @t322))))) % 0.60/1.13 (assume @p179 (forall @t310 (=> @t270 (=> @t356 (or @t306 @t160))))) % 0.60/1.13 (assume @p180 (forall @t331 (=> @t311 (=> @t360 @t328)))) % 0.60/1.13 (assume @p181 (forall @t310 (=> @t268 (=> @t306 @t356)))) % 0.60/1.13 (assume @p182 (forall @t361 (=> @t311 (=> @t355 @t307)))) % 0.60/1.13 (assume @p183 (forall @t325 (=> @t270 (=> @t157 (=> @t359 @t319))))) % 0.60/1.13 (assume @p184 (forall @t325 (=> @t270 (=> @t157 (=> @t253 @t322))))) % 0.60/1.13 (assume @p185 (forall @t331 (=> @t311 (=> @t327 @t362)))) % 0.60/1.13 (assume @p186 (forall @t361 (=> @t311 (=> (not @t355) @t306)))) % 0.60/1.13 (assume @p187 (forall @t310 (=> @t311 (=> @t307 @t355)))) % 0.60/1.13 (assume @p188 (forall @t331 (=> @t270 (= @t360 (or @t326 @t147))))) % 0.60/1.13 (assume @p189 (forall @t331 (=> @t268 (= @t326 (and @t360 (not @t363)))))) % 0.60/1.13 (assume @p190 (forall @t331 (=> @t270 (= @t326 (and @t360 @t150))))) % 0.60/1.13 (assume @p191 (forall @t310 (=> @t311 (or @t356 @t305)))) % 0.60/1.13 (assume @p192 (forall @t331 (=> @t311 (= (not @t360) @t329)))) % 0.60/1.13 (assume @p193 (forall @t331 (=> @t311 (= @t327 @t363)))) % 0.60/1.13 (assume @p194 (forall @t62 (=> @t48 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t364) @t51) @t273)))) % 0.60/1.13 (assume @p195 (forall @t281 (=> @t254 (=> @t292 (=> @t297 (=> @t365 (tptp.c_Orderings_Oord__class_Oless @t43 @t279 @t89))))))) % 0.60/1.13 (assume @p196 (forall @t93 (=> @t254 (=> @t290 (=> @t277 (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t89)))))) % 0.60/1.13 (assume @p197 (forall (@list @t51 @t276 @t52 @t43) (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t366) @t51) (tptp.hAPP @t53 (tptp.c_Groups_Oplus__class_Oplus @t43 @t276 @t51)))))) % 0.60/1.13 (assume @p198 (forall @t93 (=> @t254 (=> @t290 (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t266))))) % 0.60/1.13 (assume @p199 (forall @t110 (=> @t48 (= @t364 @t274)))) % 0.60/1.13 (assume @p200 (forall @t110 (=> @t83 (not (= @t273 @t44))))) % 0.60/1.13 (assume @p201 (forall @t110 (=> @t83 (not (= @t44 @t273))))) % 0.60/1.13 (assume @p202 (forall @t117 (=> @t48 (=> @t116 (=> @t112 (tptp.hBOOL (tptp.hAPP @t47 @t367))))))) % 0.60/1.13 (assume @p203 (forall @t49 (=> @t48 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t273) @t45))))) % 0.60/1.13 (assume @p204 (forall @t108 (=> @t368 (= (tptp.hAPP (tptp.hAPP @t55 @t273) @t50) @t273)))) % 0.60/1.13 (assume @p205 (forall @t99 (=> @t96 @t277))) % 0.60/1.13 (assume @p206 (forall @t172 (=> @t284 @t96))) % 0.60/1.13 (assume @p207 (forall @t235 (= @t78 @t369))) % 0.60/1.13 (assume @p208 (forall @t172 (=> @t283 @t284))) % 0.60/1.13 (assume @p209 (forall @t172 (=> @t370 @t284))) % 0.60/1.13 (assume @p210 (forall @t172 (=> @t372 (=> @t371 @t169)))) % 0.60/1.13 (assume @p211 (forall @t224 (=> @t375 (=> @t374 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t123))))) % 0.60/1.13 (assume @p212 (forall @t172 (=> @t284 (=> (not (= @t132 @t50)) @t370)))) % 0.60/1.13 (assume @p213 (forall @t172 (=> @t284 @t372))) % 0.60/1.13 (assume @p214 (forall @t338 (=> (not @t337) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t132) @t169)))) % 0.60/1.13 (assume @p215 (forall @t241 (=> (not @t332) @t377))) % 0.60/1.13 (assume @p216 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t240 @t236) @t333))) % 0.60/1.13 (assume @p217 (forall @t239 (= @t379 @t378))) % 0.60/1.13 (assume @p218 (forall @t239 (= (not @t333) @t376))) % 0.60/1.13 (assume @p219 (forall @t239 (= @t333 (and @t238 @t334)))) % 0.60/1.13 (assume @p220 (forall @t239 (= @t238 @t378))) % 0.60/1.13 (assume @p221 (forall @t172 (=> @t284 @t221))) % 0.60/1.13 (assume @p222 (forall @t172 (=> @t221 (=> @t336 @t284)))) % 0.60/1.13 (assume @p223 (forall @t172 (=> (or @t284 @t169) @t221))) % 0.60/1.13 (assume @p224 (forall @t49 (=> @t368 (= (tptp.hAPP @t88 @t380) @t45)))) % 0.60/1.13 (assume @p225 (forall @t381 (=> @t304 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t59 @t94) @t94)))) % 0.60/1.13 (assume @p226 (forall @t130 (=> @t304 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t52 @t59) @t52)))) % 0.60/1.13 (assume @p227 (forall @t138 (= (tptp.hBOOL (tptp.hAPP @t137 @t380)) @t382))) % 0.60/1.13 (assume @p228 (forall @t143 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t380) @t51)))) % 0.60/1.13 (assume @p229 (forall @t245 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t45 @t344) (tptp.c_Groups_Oplus__class_Oplus @t56 @t229 @t246))))) % 0.60/1.13 (assume @p230 (forall @t130 (=> @t48 (= (tptp.c_Polynomial_Osmult @t43 @t273 @t52) @t52)))) % 0.60/1.13 (assume @p231 (forall (@list @t276 @t52 @t45 @t43) (=> @t61 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t195 @t276) (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.c_Polynomial_Osmult @t43 @t276 @t366) (tptp.c_Polynomial_OpCons @t43 @t45 @t366)))))) % 0.60/1.13 (assume @p232 (forall @t93 (=> @t254 (=> @t297 (=> @t365 (tptp.c_Orderings_Oord__class_Oless @t43 @t266 @t273)))))) % 0.60/1.13 (assume @p233 (forall @t291 (=> @t254 (=> @t290 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t256 @t89) @t221))))) % 0.60/1.13 (assume @p234 (forall @t289 (=> @t254 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t287 @t286) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t144)))))) % 0.60/1.13 (assume @p235 (forall @t383 (=> @t48 (=> (or @t277 (= @t51 @t273)) (tptp.hBOOL (tptp.hAPP @t74 @t72)))))) % 0.60/1.13 (assume @p236 (forall @t385 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t384) @t208)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t380 @t206) @t221)))) % 0.60/1.13 (assume @p237 (forall @t255 (=> @t254 (=> @t322 (=> @t252 (=> @t277 @t386)))))) % 0.60/1.13 (assume @p238 (forall @t110 (=> @t254 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t273)))) % 0.60/1.13 (assume @p239 (forall @t110 (=> @t254 (not (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t273 @t44))))) % 0.60/1.13 (assume @p240 (forall @t93 (=> @t254 (=> @t297 (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t89))))) % 0.60/1.13 (assume @p241 (forall @t93 (=> @t254 (=> @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t273 @t89))))) % 0.60/1.13 (assume @p242 (forall @t49 (=> @t86 (= (tptp.hAPP @t88 @t10) @t273)))) % 0.60/1.13 (assume @p243 (forall @t239 (= @t379 (or @t102 (exists (@list @t388) (and (= @t101 (tptp.c_Nat_OSuc @t388)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t388 @t76))))))) % 0.60/1.13 (assume @p244 (forall @t235 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t97) @t77))) % 0.60/1.13 (assume @p245 (forall @t235 (= @t369 (exists (@list @t389) (= @t76 (tptp.c_Nat_OSuc @t389)))))) % 0.60/1.13 (assume @p246 (forall @t172 (=> @t390 (=> @t284 (not @t170))))) % 0.60/1.13 (assume @p247 (forall @t338 (=> @t277 (=> @t171 @t390)))) % 0.60/1.13 (assume @p248 (forall @t241 (= @t332 @t237))) % 0.60/1.13 (assume @p249 (forall @t239 (= @t379 @t238))) % 0.60/1.13 (assume @p250 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t240 @t76) @t333))) % 0.60/1.13 (assume @p251 (forall @t172 (=> @t221 @t372))) % 0.60/1.13 (assume @p252 (forall @t172 (=> @t284 @t243))) % 0.60/1.13 (assume @p253 (forall @t239 (=> @t238 @t377))) % 0.60/1.13 (assume @p254 (forall @t172 (=> @t243 @t284))) % 0.60/1.13 (assume @p255 (forall @t350 (=> @t304 (=> @t392 (=> @t391 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t347 @t50)))))) % 0.60/1.13 (assume @p256 (= @t380 @t97)) % 0.60/1.13 (assume @p257 (forall @t110 (=> @t48 (= (tptp.c_Polynomial_Odegree @t43 @t364) @t10)))) % 0.60/1.13 (assume @p258 (forall @t385 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t206) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t384 @t208) @t284)))) % 0.60/1.13 (assume @p259 (forall @t395 (= @t394 (or @t393 @t77)))) % 0.60/1.13 (assume @p260 (forall (@list @t276 @t43) (=> @t61 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t59 @t276) @t59)))) % 0.60/1.13 (assume @p261 (forall (@list @t396 @t63 @t43) (=> @t61 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t63 @t396) @t59) @t64)))) % 0.60/1.13 (assume @p262 (forall (@list @t276 @t52 @t43) (=> @t61 (= (tptp.c_Polynomial_Odegree @t43 @t366) @t125)))) % 0.60/1.13 (assume @p263 (forall @t108 (=> @t109 (= (tptp.c_Polynomial_Omonom @t43 @t44 @t50) @t59)))) % 0.60/1.13 (assume @p264 (forall @t87 (=> @t109 (= (= @t301 @t59) @t80)))) % 0.60/1.13 (assume @p265 (forall @t93 (=> @t109 (=> @t91 (= @t397 @t50))))) % 0.60/1.13 (assume @p266 (forall @t93 (=> @t109 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t397 @t50)))) % 0.60/1.13 (assume @p267 (forall @t267 (=> @t254 (=> @t386 (=> @t264 @t322))))) % 0.60/1.13 (assume @p268 (forall @t108 (=> @t107 (and (=> @t95 (= @t398 @t273)) (=> @t96 (= @t398 @t44)))))) % 0.60/1.13 (assume @p269 (forall @t281 (=> @t254 (=> @t280 (=> @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t89 @t279)))))) % 0.60/1.13 (assume @p270 (forall (@list @t50 @t123) (=> @t401 (=> @t277 @t399)))) % 0.60/1.13 (assume @p271 (forall @t310 (=> @t311 (=> (not @t356) @t355)))) % 0.60/1.13 (assume @p272 (forall (@list @t100 @t1 @t2 @t43 @t190) (=> @t404 (=> @t403 (tptp.c_Orderings_Oord__class_Oless__eq @t190 @t269 (tptp.hAPP @t1 @t100)))))) % 0.60/1.13 (assume @p273 (forall @t314 (=> @t270 (=> @t355 (=> @t357 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t173 @t51)))))) % 0.60/1.13 (assume @p274 (forall @t361 (=> @t270 (=> @t355 (=> @t356 @t160))))) % 0.60/1.13 (assume @p275 (forall @t317 (=> @t268 (=> @t356 (=> @t358 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t51 @t173)))))) % 0.60/1.13 (assume @p276 (forall @t310 (=> @t270 (=> @t356 (=> @t355 @t160))))) % 0.60/1.13 (assume @p277 (forall @t320 (=> @t270 (=> @t359 (=> @t168 @t405))))) % 0.60/1.13 (assume @p278 (forall @t117 (=> @t323 (=> @t253 (=> @t168 @t406))))) % 0.60/1.13 (assume @p279 (forall @t117 (=> @t270 (=> @t156 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t113) @t405))))) % 0.60/1.13 (assume @p280 (forall @t117 (=> @t323 (=> @t156 (=> @t407 @t406))))) % 0.60/1.13 (assume @p281 (forall @t330 (=> @t270 (=> @t363 @t362)))) % 0.60/1.13 (assume @p282 (forall @t310 (=> @t268 (=> @t160 @t356)))) % 0.60/1.13 (assume @p283 (forall @t331 (=> @t270 (= @t147 (and @t360 @t363))))) % 0.60/1.13 (assume @p284 (forall @t310 (=> @t311 (or @t356 @t355)))) % 0.60/1.13 (assume @p285 (forall @t408 (=> @t404 (= @t403 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t190 @t5 @t4)))))) % 0.60/1.13 (assume @p286 (forall @t228 (=> @t61 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t227 @t195) @t59) @t128)))) % 0.60/1.13 (assume @p287 (forall (@list @t50 @t271 @t43) (=> @t254 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t271) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t271 @t273) (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.hAPP (tptp.hAPP @t55 @t271) @t104) @t271)))))) % 0.60/1.13 (assume @p288 (forall @t325 (=> @t410 (=> @t297 (=> @t264 @t409))))) % 0.60/1.13 (assume @p289 (forall @t325 (=> @t410 (=> @t252 @t412)))) % 0.60/1.13 (assume @p290 (forall @t117 (=> @t410 (=> @t297 (=> @t407 @t294))))) % 0.60/1.13 (assume @p291 (forall @t117 (=> @t410 (=> @t252 @t296)))) % 0.60/1.13 (assume @p292 (forall @t325 (=> @t410 (=> @t415 (=> @t414 @t413))))) % 0.60/1.13 (assume @p293 (forall @t325 (=> @t410 (=> @t418 @t417)))) % 0.60/1.13 (assume @p294 (forall @t395 (= @t394 (or @t77 @t393)))) % 0.60/1.13 (assume @p295 (forall @t143 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t419) (or (= @t51 @t10) (= @t51 @t97))))) % 0.60/1.13 (assume @p296 (forall @t408 (=> @t404 (= (tptp.c_Orderings_Oord__class_Oless @t402 @t2 @t1) (and @t403 (not (tptp.c_Orderings_Oord__class_Oless__eq @t402 @t1 @t2))))))) % 0.60/1.13 (assume @p297 (forall @t99 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t10 @t50) @t50))) % 0.60/1.13 (assume @p298 (forall @t133 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t10) @t131))) % 0.60/1.13 (assume @p299 (forall @t239 (= (= @t420 @t10) (and @t102 @t77)))) % 0.60/1.13 (assume @p300 (forall @t172 (=> (= @t421 @t131) @t95))) % 0.60/1.13 (assume @p301 (forall @t172 (= @t423 @t422))) % 0.60/1.13 (assume @p302 (forall @t172 (= @t424 @t422))) % 0.60/1.13 (assume @p303 (forall @t172 (= @t424 @t423))) % 0.60/1.13 (assume @p304 (forall @t99 (= @t104 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t380 @t50)))) % 0.60/1.13 (assume @p305 (forall @t99 (= @t104 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t380)))) % 0.60/1.13 (assume @p306 (forall @t224 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t425 @t123) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t123)))) % 0.60/1.13 (assume @p307 (forall (@list @t50 @t131 @t427 @t123) (=> @t428 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t427) @t426) @t284)))) % 0.60/1.13 (assume @p308 (forall @t431 (=> @t375 (=> @t428 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t430 @t429))))) % 0.60/1.13 (assume @p309 (forall @t224 (=> @t375 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t430 @t432)))) % 0.60/1.13 (assume @p310 (forall @t434 (=> @t375 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t433)))) % 0.60/1.13 (assume @p311 (forall @t434 (=> @t375 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t435)))) % 0.60/1.13 (assume @p312 (forall @t439 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t437) @t333))) % 0.60/1.13 (assume @p313 (forall (@list @t206 @t222) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t206)))) % 0.60/1.13 (assume @p314 (forall (@list @t222 @t206) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t425 @t206)))) % 0.60/1.13 (assume @p315 (forall (@list @t76 @t436) (= (tptp.hBOOL (tptp.hAPP @t441 @t442)) (tptp.hBOOL (tptp.hAPP @t441 @t76))))) % 0.60/1.13 (assume @p316 (forall @t445 (=> @t444 (not (=> @t221 (not @t399)))))) % 0.60/1.13 (assume @p317 (forall @t445 (=> @t444 @t221))) % 0.60/1.13 (assume @p318 (forall @t445 (=> @t444 @t399))) % 0.60/1.13 (assume @p319 (forall @t431 (=> @t223 (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t429))))) % 0.60/1.13 (assume @p320 (forall @t224 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t432)))) % 0.60/1.13 (assume @p321 (forall @t434 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t206 @t433)))) % 0.60/1.13 (assume @p322 (forall @t434 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t206 @t435)))) % 0.60/1.13 (assume @p323 (forall @t439 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t437) @t238))) % 0.60/1.13 (assume @p324 (forall @t239 (= @t238 (exists @t449 (= @t76 @t448))))) % 0.60/1.13 (assume @p325 (forall @t338 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t450))) % 0.60/1.13 (assume @p326 (forall @t338 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t421))) % 0.60/1.13 (assume @p327 (forall @t239 (= (= @t97 @t420) @t452))) % 0.60/1.13 (assume @p328 (forall @t239 (= (= @t420 @t97) @t452))) % 0.60/1.13 (assume @p329 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t420) (or @t453 @t369)))) % 0.60/1.13 (assume @p330 (forall @t454 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t206 @t131))))) % 0.60/1.13 (assume @p331 (forall @t454 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t206))))) % 0.60/1.13 (assume @p332 (forall @t239 (= @t333 (exists @t449 (= @t76 (tptp.c_Nat_OSuc @t448)))))) % 0.60/1.13 (assume @p333 (forall @t456 (=> @t109 (= (= @t44 @t100) @t455)))) % 0.60/1.13 (assume @p334 (forall @t117 (=> (tptp.class_Groups_Oab__semigroup__add @t43) @t458))) % 0.60/1.13 (assume @p335 (forall @t463 (=> @t462 (= (= @t461 @t460) @t459)))) % 0.60/1.13 (assume @p336 (forall (@list @t140 @t79 @t187 @t43) (=> @t462 (= (= @t465 @t464) @t459)))) % 0.60/1.13 (assume @p337 (forall @t117 (=> @t462 @t466))) % 0.60/1.13 (assume @p338 (forall @t117 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t43) @t466))) % 0.60/1.13 (assume @p339 (forall @t320 (=> @t462 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t113 @t45) @t467) @t168)))) % 0.60/1.13 (assume @p340 (forall @t456 (=> (tptp.class_Groups_Oone @t43) (= (= @t273 @t100) @t468)))) % 0.60/1.13 (assume @p341 (forall @t49 (=> @t304 @t469))) % 0.60/1.13 (assume @p342 (forall @t49 (=> @t470 @t469))) % 0.60/1.13 (assume @p343 (forall @t473 (=> @t472 (= (= @t44 @t471) @t80)))) % 0.60/1.13 (assume @p344 (forall @t49 (=> @t304 @t474))) % 0.60/1.13 (assume @p345 (forall @t49 (=> @t470 @t474))) % 0.60/1.13 (assume @p346 (forall @t478 (=> @t477 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t460 @t476) @t475)))) % 0.60/1.13 (assume @p347 (forall @t480 (=> @t477 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t464 @t479) @t475)))) % 0.60/1.13 (assume @p348 (forall @t117 (=> @t482 (=> @t253 @t481)))) % 0.60/1.13 (assume @p349 (forall @t117 (=> @t482 (=> @t253 @t484)))) % 0.60/1.13 (assume @p350 (forall @t488 (=> @t482 (=> @t253 (=> @t487 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t293 @t486)))))) % 0.60/1.13 (assume @p351 (forall @t489 (=> @t477 (=> @t481 @t253)))) % 0.60/1.13 (assume @p352 (forall @t490 (=> @t477 (=> @t484 @t253)))) % 0.60/1.13 (assume @p353 (forall @t478 (=> @t477 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t460 @t476) @t491)))) % 0.60/1.13 (assume @p354 (forall @t480 (=> @t477 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t464 @t479) @t491)))) % 0.60/1.13 (assume @p355 (forall @t117 (=> @t493 (=> @t322 @t492)))) % 0.60/1.13 (assume @p356 (forall @t117 (=> @t493 (=> @t322 @t494)))) % 0.60/1.13 (assume @p357 (forall @t488 (=> @t493 (=> @t322 @t497)))) % 0.60/1.13 (assume @p358 (forall @t489 (=> @t477 (=> @t492 @t322)))) % 0.60/1.13 (assume @p359 (forall @t490 (=> @t477 (=> @t494 @t322)))) % 0.60/1.13 (assume @p360 (forall @t325 (=> @t410 (=> @t418 (=> @t414 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t302 @t44)))))) % 0.60/1.13 (assume @p361 (forall @t500 (=> @t410 (=> @t499 (=> @t359 @t498))))) % 0.60/1.13 (assume @p362 (forall @t117 (=> @t410 (=> @t252 (=> @t407 @t498))))) % 0.60/1.13 (assume @p363 (forall @t331 (=> @t410 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t100) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t144) (= @t503 @t502)))))) % 0.60/1.13 (assume @p364 (forall @t325 (=> @t410 (=> @t252 (=> @t264 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t302)))))) % 0.60/1.13 (assume @p365 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t471 @t44) @t504)))) % 0.60/1.13 (assume @p366 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t471) @t505)))) % 0.60/1.13 (assume @p367 (forall @t325 (=> @t410 (=> @t415 @t417)))) % 0.60/1.13 (assume @p368 (forall @t325 (=> @t410 (=> @t297 @t412)))) % 0.60/1.13 (assume @p369 (forall @t473 (=> @t472 @t507))) % 0.60/1.13 (assume @p370 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t471) @t508)))) % 0.60/1.13 (assume @p371 (forall @t488 (=> @t493 (=> @t253 @t497)))) % 0.60/1.13 (assume @p372 (forall @t488 (=> @t493 (=> @t322 (=> @t487 @t495))))) % 0.60/1.13 (assume @p373 (forall @t62 (=> @t48 (= (tptp.hAPP @t71 @t10) @t273)))) % 0.60/1.13 (assume @p374 (forall @t473 (=> @t309 @t507))) % 0.60/1.13 (assume @p375 (forall @t198 (=> @t66 (=> @t129 (and @t512 @t511))))) % 0.60/1.13 (assume @p376 (forall @t198 (=> @t66 (=> @t129 @t511)))) % 0.60/1.13 (assume @p377 (forall @t62 (=> @t48 (= (tptp.hAPP @t71 @t380) @t51)))) % 0.60/1.13 (assume @p378 (forall @t161 (=> @t335 @t513))) % 0.60/1.13 (assume @p379 (forall @t172 (= @t421 @t450))) % 0.60/1.13 (assume @p380 (forall @t176 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t514) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t69 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t173))))) % 0.60/1.13 (assume @p381 (forall @t516 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t421 @t123) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t515)))) % 0.60/1.13 (assume @p382 (forall @t439 (= (= @t438 @t437) @t298))) % 0.60/1.13 (assume @p383 (forall @t517 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t436) @t442) @t298))) % 0.60/1.13 (assume @p384 (forall @t49 (=> @t518 (= (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t509) @t45)))) % 0.60/1.13 (assume @p385 (forall @t522 (=> @t518 (= @t521 (= @t187 @t519))))) % 0.60/1.13 (assume @p386 (forall @t522 (=> @t518 (= (= @t519 @t187) (= @t520 @t79))))) % 0.60/1.13 (assume @p387 (forall @t522 (=> @t518 (= (= @t519 @t520) @t225)))) % 0.60/1.13 (assume @p388 (forall @t231 (=> @t524 (= (tptp.c_Polynomial_Osmult @t43 @t509 @t52) @t523)))) % 0.60/1.13 (assume @p389 (forall (@list @t51 @t52 @t43) (=> @t524 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t525) @t51) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t54))))) % 0.60/1.13 (assume @p390 (forall (@list @t52 @t45 @t190) (=> (tptp.class_Groups_Oab__group__add @t190) (= (tptp.c_Groups_Ouminus__class_Ouminus @t191 (tptp.c_Polynomial_OpCons @t190 @t45 @t52)) (tptp.c_Polynomial_OpCons @t190 (tptp.c_Groups_Ouminus__class_Ouminus @t190 @t45) (tptp.c_Groups_Ouminus__class_Ouminus @t191 @t52)))))) % 0.60/1.13 (assume @p391 (forall @t231 (=> @t526 (= (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t195) (tptp.c_Polynomial_OpCons @t43 @t509 @t525))))) % 0.60/1.13 (assume @p392 (forall @t93 (=> @t526 (= (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t282) (tptp.c_Polynomial_Omonom @t43 @t509 @t50))))) % 0.60/1.13 (assume @p393 (forall @t473 (=> @t472 (= (= @t519 @t79) @t80)))) % 0.60/1.13 (assume @p394 (forall @t473 (=> @t518 (= (= @t519 @t44) @t80)))) % 0.60/1.13 (assume @p395 (forall @t473 (=> @t472 (= (= @t79 @t519) @t80)))) % 0.60/1.13 (assume @p396 (forall @t473 (=> @t518 (= (= @t44 @t519) (= @t44 @t79))))) % 0.60/1.13 (assume @p397 (forall @t110 (=> @t518 (= (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t44) @t44)))) % 0.60/1.13 (assume @p398 (forall @t522 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t79 @t520) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t187 @t519))))) % 0.60/1.13 (assume @p399 (forall @t522 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t519 @t187) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t520 @t79))))) % 0.60/1.13 (assume @p400 (forall @t528 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t520 @t519) @t475)))) % 0.60/1.13 (assume @p401 (forall @t325 (=> @t527 (=> @t253 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t529 @t509))))) % 0.60/1.13 (assume @p402 (forall @t522 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t79 @t520) (tptp.c_Orderings_Oord__class_Oless @t43 @t187 @t519))))) % 0.60/1.13 (assume @p403 (forall @t522 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t519 @t187) (tptp.c_Orderings_Oord__class_Oless @t43 @t520 @t79))))) % 0.60/1.13 (assume @p404 (forall @t528 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t520 @t519) @t491)))) % 0.60/1.13 (assume @p405 (forall @t325 (=> @t526 (= @t530 (tptp.c_Groups_Oplus__class_Oplus @t43 @t509 @t529))))) % 0.60/1.13 (assume @p406 (forall @t325 (=> @t518 (= @t530 (tptp.c_Groups_Oplus__class_Oplus @t43 @t529 @t509))))) % 0.60/1.13 (assume @p407 (forall @t325 (=> @t518 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 (tptp.c_Groups_Oplus__class_Oplus @t43 @t509 @t113)) @t113)))) % 0.60/1.13 (assume @p408 (forall @t325 (=> @t518 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t509 @t302) @t113)))) % 0.60/1.13 (assume @p409 (forall @t331 (=> @t534 (= (tptp.hBOOL (tptp.hAPP @t531 @t533)) @t532)))) % 0.60/1.13 (assume @p410 (forall @t331 (=> @t534 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t535) @t144)) @t532)))) % 0.60/1.13 (assume @p411 (forall @t110 (=> @t526 (= (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t59) @t59)))) % 0.60/1.13 (assume @p412 (forall @t130 (=> @t526 (= (tptp.c_Polynomial_Odegree @t43 @t525) @t125)))) % 0.60/1.13 (assume @p413 (forall @t231 (=> @t524 (= (tptp.c_Polynomial_Osmult @t43 @t45 @t525) @t523)))) % 0.60/1.13 (assume @p414 (forall @t473 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t519) @t504)))) % 0.60/1.13 (assume @p415 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t79 @t519) @t504)))) % 0.60/1.13 (assume @p416 (forall @t473 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t519 @t44) @t505)))) % 0.60/1.13 (assume @p417 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t519 @t79) @t505)))) % 0.60/1.13 (assume @p418 (forall @t473 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t79 @t519) @t506)))) % 0.60/1.13 (assume @p419 (forall @t473 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t519) @t506)))) % 0.60/1.13 (assume @p420 (forall @t473 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t519 @t44) @t508)))) % 0.60/1.13 (assume @p421 (forall @t473 (=> @t472 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t519 @t79) @t508)))) % 0.60/1.13 (assume @p422 (forall @t49 (=> @t518 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t509) @t44)))) % 0.60/1.13 (assume @p423 (forall @t522 (=> @t518 (= @t521 (= @t461 @t44))))) % 0.60/1.13 (assume @p424 (forall @t49 (=> @t518 @t536))) % 0.60/1.13 (assume @p425 (forall @t49 (=> @t526 @t536))) % 0.60/1.13 (assume @p426 (forall @t331 (=> @t518 (= @t503 (= @t144 @t535))))) % 0.60/1.13 (assume @p427 (forall @t325 (=> @t518 (=> (= @t302 @t44) (= @t509 @t113))))) % 0.60/1.13 (assume @p428 (forall @t331 (=> @t66 (= (= (tptp.hAPP (tptp.hAPP @t55 @t100) @t419) (tptp.hAPP (tptp.hAPP @t55 @t144) @t419)) (or @t147 (= @t100 @t533)))))) % 0.60/1.13 (assume @p429 (forall @t488 (=> @t48 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t302 @t537) (tptp.c_Groups_Oplus__class_Oplus @t43 @t293 @t486))))) % 0.60/1.13 (assume @p430 (forall @t117 (=> @t48 (= @t457 (tptp.c_Groups_Oplus__class_Oplus @t43 @t293 @t113))))) % 0.60/1.13 (assume @p431 (forall @t117 (=> @t48 @t458))) % 0.60/1.13 (assume @p432 (forall @t539 (=> @t48 (= @t538 (tptp.c_Groups_Oplus__class_Oplus @t43 @t293 @t485))))) % 0.60/1.13 (assume @p433 (forall @t539 (=> @t48 (= @t538 (tptp.c_Groups_Oplus__class_Oplus @t43 @t111 (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t485)))))) % 0.60/1.13 (assume @p434 (forall (@list @t111 @t45 @t43) (=> @t48 (= @t293 @t467)))) % 0.60/1.13 (assume @p435 (forall @t176 (=> @t335 @t540))) % 0.60/1.13 (assume @p436 (forall @t541 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t173) @t540))) % 0.60/1.13 (assume @p437 (forall @t176 (=> @t513 @t542))) % 0.60/1.13 (assume @p438 (forall @t541 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t51 @t173) @t542))) % 0.60/1.13 (assume @p439 (forall @t172 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t131) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t50) (=> @t544 (=> @t543 @t169)))))) % 0.60/1.13 (assume @p440 (forall (@list @t50 @t173) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t173) @t50)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t50) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t173 @t50))))) % 0.60/1.13 (assume @p441 (forall @t172 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t131) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t131 @t50) (not @t543))))) % 0.60/1.13 (assume @p442 (forall @t141 (=> @t66 (= (= (tptp.hAPP @t65 @t140) @t44) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 (tptp.c_Polynomial_OpCons @t43 @t546 @t274)) @t63)))))) % 0.60/1.13 (assume @p443 (forall (@list @t63 @t140 @t43) (=> @t66 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 (tptp.c_Polynomial_OpCons @t43 @t140 @t274)) @t63)) (= (tptp.hAPP @t65 @t546) @t44))))) % 0.60/1.13 (assume @p444 (forall @t49 (=> @t48 @t474))) % 0.60/1.13 (assume @p445 (forall @t49 (=> @t48 @t469))) % 0.60/1.13 (assume @p446 (forall @t528 (=> @t547 (= (= @t187 @t465) @t80)))) % 0.60/1.13 (assume @p447 (forall @t473 (=> @t472 (= (= @t471 @t44) @t80)))) % 0.60/1.13 (assume @p448 (forall @t231 (=> @t66 @t512))) % 0.60/1.13 (assume @p449 (forall (@list @t52 @t111 @t43) (=> @t534 (= (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.hAPP (tptp.hAPP @t548 (tptp.c_Polynomial_OpCons @t43 (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t111) @t274)) @t260) (tptp.c_Polynomial_OpCons @t43 @t261 @t59)) @t52)))) % 0.60/1.13 (assume @p450 (forall @t550 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t436 @t549) (exists @t122 (= @t549 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 @t121)))))) % 0.60/1.13 (assume @p451 (forall @t249 (=> @t309 (= (tptp.c_Polynomial_Opos__poly @t43 @t226) (or @t551 (and @t64 @t508)))))) % 0.60/1.13 (assume @p452 (forall @t310 (=> @t554 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t553 @t552))))) % 0.60/1.13 (assume @p453 (forall @t331 (=> @t554 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t535 @t533) @t363)))) % 0.60/1.13 (assume @p454 (forall (@list @t555) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t555 @t555))) % 0.60/1.13 (assume @p455 (forall @t558 (or @t557 @t556))) % 0.60/1.13 (assume @p456 (forall (@list @t559 @t189) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189 @t559) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189 @t559) (not (= @t189 @t559)))))) % 0.60/1.13 (assume @p457 (forall @t562 (= @t561 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t559 @t189)))) % 0.60/1.13 (assume @p458 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t559 @t560) @t189) @t563))) % 0.60/1.13 (assume @p459 (forall (@list @t173 @t555) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t555 @t173) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t555 @t560) @t173)))) % 0.60/1.13 (assume @p460 (forall @t224 (=> @t564 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t123 @t206) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t123 @t222))))) % 0.60/1.13 (assume @p461 (forall @t224 (=> @t564 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t222 @t123) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t206 @t123))))) % 0.60/1.13 (assume @p462 (forall @t558 (=> @t557 (=> @t556 (= @t173 @t555))))) % 0.60/1.13 (assume @p463 (forall (@list @t173 @t566 @t555 @t567) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t567 @t555) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t566 @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t567 @t566) @t565))))) % 0.60/1.13 (assume @p464 (forall @t569 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t568)))) % 0.60/1.13 (assume @p465 (forall @t570 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t560 @t189) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t189)))) % 0.60/1.13 (assume @p466 (not (= @t545 @t560))) % 0.60/1.13 (assume @p467 (forall @t569 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t568 @t173) @t545)))) % 0.60/1.13 (assume @p468 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t560)) % 0.60/1.13 (assume @p469 (forall @t569 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t545 @t173) @t173))) % 0.60/1.13 (assume @p470 (forall @t569 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t173 @t545) @t173))) % 0.60/1.13 (assume @p471 (forall @t569 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t571 @t173) @t545))) % 0.60/1.13 (assume @p472 (forall (@list @t50 @t113 @t131 @t45 @t43) (=> @t61 (= (tptp.hAPP (tptp.hAPP @t548 @t575) @t303) (tptp.c_Polynomial_Omonom @t43 @t574 @t421))))) % 0.60/1.13 (assume @p473 (forall @t570 (= (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 @t560 @t189) @t189) @t545) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189 @t545)))) % 0.60/1.13 (assume @p474 (forall @t224 (=> @t576 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t206 @t123) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t222 @t123))))) % 0.60/1.13 (assume @p475 (forall (@list @t189 @t100 @t144 @t559 @t43) (=> @t547 (= (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t580 @t579) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t578 @t189) (tptp.hAPP @t577 @t144))) (or (= @t559 @t100) (= @t144 @t189)))))) % 0.60/1.13 (assume @p476 (forall (@list @t113 @t131 @t45 @t43) (=> @t48 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t583 (tptp.hAPP @t582 @t131)) (tptp.hAPP @t581 @t131))))) % 0.60/1.13 (assume @p477 (forall @t117 (=> @t48 @t586))) % 0.60/1.13 (assume @p478 (forall @t593 (=> @t547 (= (and (not @t225) (not @t592)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t591 (tptp.hAPP @t587 @t589)) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t590 @t589) @t588))))))) % 0.60/1.13 (assume @p479 (forall @t317 (=> @t48 (= (tptp.hAPP @t594 (tptp.c_Groups_Oplus__class_Oplus @t43 @t69 @t173)) (tptp.c_Groups_Oplus__class_Oplus @t43 @t596 @t595))))) % 0.60/1.13 (assume @p480 (forall @t562 (= @t561 (or @t563 (= @t559 @t189))))) % 0.60/1.13 (assume @p481 (forall @t161 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t69) @t160 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t69 @t51)))) % 0.60/1.13 (assume @p482 (forall @t49 (=> @t48 @t597))) % 0.60/1.13 (assume @p483 (forall @t49 (=> @t48 @t598))) % 0.60/1.13 (assume @p484 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t545) @t545)) % 0.60/1.13 (assume @p485 (forall @t325 (=> @t601 (= @t600 @t599)))) % 0.60/1.13 (assume @p486 (forall @t325 (=> @t601 (= @t600 @t603)))) % 0.60/1.13 (assume @p487 (forall @t325 (=> @t601 (= @t603 @t599)))) % 0.60/1.13 (assume @p488 (forall @t325 (=> @t601 (= (tptp.hAPP @t602 @t529) @t574)))) % 0.60/1.13 (assume @p489 (forall @t522 (=> @t66 (= (= (tptp.hAPP @t590 @t79) (tptp.hAPP @t587 @t187)) (or @t225 @t521))))) % 0.60/1.13 (assume @p490 (forall @t615 (=> @t48 (= @t614 (tptp.hAPP @t610 (tptp.hAPP @t606 @t604)))))) % 0.60/1.13 (assume @p491 (forall @t615 (=> @t48 (= @t614 (tptp.hAPP @t611 (tptp.hAPP @t613 @t604)))))) % 0.60/1.13 (assume @p492 (forall @t615 (=> @t48 (= @t614 (tptp.hAPP @t609 (tptp.hAPP @t606 @t612)))))) % 0.60/1.13 (assume @p493 (forall @t617 (=> @t48 (= @t616 (tptp.hAPP @t610 @t605))))) % 0.60/1.13 (assume @p494 (forall @t617 (=> @t48 (= @t616 (tptp.hAPP @t609 (tptp.hAPP @t606 @t607)))))) % 0.60/1.13 (assume @p495 (forall @t619 (=> @t48 (= @t618 (tptp.hAPP @t610 @t604))))) % 0.60/1.13 (assume @p496 (forall @t619 (=> @t48 (= @t618 (tptp.hAPP @t611 (tptp.hAPP @t609 @t604)))))) % 0.60/1.13 (assume @p497 (forall @t325 (=> @t48 (= @t574 @t620)))) % 0.60/1.13 (assume @p498 (forall (@list @t94 @t69 @t51 @t43) (=> @t48 (= (tptp.hAPP (tptp.hAPP @t55 @t596) @t94) (tptp.hAPP @t622 (tptp.hAPP @t70 @t94)))))) % 0.60/1.13 (assume @p499 (forall @t49 (=> @t48 @t623))) % 0.60/1.13 (assume @p500 (forall @t49 (=> @t48 @t625))) % 0.60/1.13 (assume @p501 (forall @t49 (=> @t85 @t625))) % 0.60/1.13 (assume @p502 (forall @t49 (=> @t85 @t623))) % 0.60/1.13 (assume @p503 (forall @t522 (=> (tptp.class_Rings_Oring__no__zero__divisors @t43) (= (= @t627 @t44) (or @t80 @t626))))) % 0.60/1.13 (assume @p504 (forall @t325 (=> @t84 (=> @t91 (=> @t630 (not @t628)))))) % 0.60/1.13 (assume @p505 (forall @t325 (=> @t84 (=> @t628 (or @t90 @t629))))) % 0.60/1.13 (assume @p506 (forall @t117 (=> (tptp.class_Rings_Ocomm__semiring @t43) @t586))) % 0.60/1.13 (assume @p507 (forall (@list @t111 @t113 @t631 @t45 @t43) (=> (tptp.class_Rings_Osemiring @t43) (= (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t573 @t631) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t582 @t631) @t111)) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t581 @t631) @t111))))) % 0.60/1.13 (assume @p508 (forall @t49 (=> @t368 @t598))) % 0.60/1.13 (assume @p509 (forall @t49 (=> @t632 @t598))) % 0.60/1.13 (assume @p510 (forall @t49 (=> @t368 @t597))) % 0.60/1.13 (assume @p511 (forall @t49 (=> @t632 @t597))) % 0.60/1.13 (assume @p512 (forall @t325 (=> @t48 (tptp.hBOOL (tptp.hAPP @t47 @t574))))) % 0.60/1.13 (assume @p513 (forall @t325 (=> @t48 (tptp.hBOOL (tptp.hAPP @t47 @t620))))) % 0.60/1.13 (assume @p514 (forall @t117 (=> @t48 (=> @t116 @t633)))) % 0.60/1.13 (assume @p515 (forall @t489 (=> @t48 (=> @t112 @t633)))) % 0.60/1.13 (assume @p516 (forall @t488 (=> @t48 (=> @t116 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t111) @t485)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t585) @t634))))))) % 0.60/1.13 (assume @p517 (forall (@list @t123 @t113 @t45 @t43) (=> @t635 (=> (= @t45 (tptp.hAPP @t582 @t123)) (tptp.hBOOL (tptp.hAPP @t114 @t45)))))) % 0.60/1.13 (assume @p518 (forall @t117 (=> @t48 (=> @t636 @t112)))) % 0.60/1.13 (assume @p519 (forall @t117 (=> @t48 (=> @t636 @t115)))) % 0.60/1.13 (assume @p520 (forall @t93 (=> @t368 (= @t639 @t637)))) % 0.60/1.13 (assume @p521 (forall @t255 (=> @t632 (= (tptp.hAPP (tptp.hAPP @t55 @t574) @t50) (tptp.hAPP @t638 @t251))))) % 0.60/1.13 (assume @p522 (forall @t352 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t641) @t51) (tptp.hAPP (tptp.hAPP @t572 @t54) @t351))))) % 0.60/1.13 (assume @p523 (forall @t49 (=> @t643 (= @t642 @t45)))) % 0.60/1.13 (assume @p524 (forall @t62 (=> @t643 (= @t644 @t51)))) % 0.60/1.13 (assume @p525 (forall @t325 (=> @t643 (= (tptp.hAPP @t573 @t574) @t574)))) % 0.60/1.13 (assume @p526 (forall @t205 (=> @t309 (=> @t646 (=> @t645 (tptp.c_Polynomial_Opos__poly @t43 @t641)))))) % 0.60/1.13 (assume @p527 (forall @t117 (=> (tptp.class_Groups_Oab__semigroup__mult @t43) (= (tptp.hAPP (tptp.hAPP @t572 @t574) @t111) (tptp.hAPP @t573 @t584))))) % 0.60/1.13 (assume @p528 (forall @t130 (=> @t61 (= (tptp.hAPP @t640 @t59) @t59)))) % 0.60/1.13 (assume @p529 (forall @t381 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t548 @t59) @t94) @t59)))) % 0.60/1.13 (assume @p530 (forall @t354 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t45 @t353) (tptp.c_Polynomial_Osmult @t43 @t574 @t52))))) % 0.60/1.13 (assume @p531 (forall @t245 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t548 @t229) @t94) @t647)))) % 0.60/1.13 (assume @p532 (forall @t259 (=> @t61 (= (tptp.hAPP @t640 @t246) @t647)))) % 0.60/1.13 (assume @p533 (forall (@list @t271 @t94 @t52 @t43) (=> @t61 (= (tptp.hAPP (tptp.hAPP @t548 @t344) @t271) (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.hAPP @t640 @t271) (tptp.hAPP @t648 @t271)))))) % 0.60/1.13 (assume @p534 (forall @t49 (=> @t649 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t642)))) % 0.60/1.13 (assume @p535 (forall @t522 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t627) @t652)))) % 0.60/1.13 (assume @p536 (forall @t522 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t627 @t44) @t654)))) % 0.60/1.13 (assume @p537 (forall @t325 (=> @t656 (=> @t252 (=> @t264 @t655))))) % 0.60/1.13 (assume @p538 (forall @t325 (=> @t656 (=> @t252 (=> @t414 @t657))))) % 0.60/1.13 (assume @p539 (forall @t325 (=> @t656 (=> @t252 (=> @t414 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t620 @t44)))))) % 0.60/1.13 (assume @p540 (forall @t325 (=> @t656 (=> @t418 (=> @t264 @t657))))) % 0.60/1.13 (assume @p541 (forall @t325 (=> @t658 (=> @t418 (=> @t414 @t655))))) % 0.60/1.13 (assume @p542 (forall @t117 (=> @t660 (=> @t253 (=> @t499 @t659))))) % 0.60/1.13 (assume @p543 (forall @t117 (=> @t660 @t665))) % 0.60/1.13 (assume @p544 (forall @t117 (=> (tptp.class_Rings_Oordered__comm__semiring @t43) @t665))) % 0.60/1.13 (assume @p545 (forall @t320 (=> @t658 (=> @t359 (=> @t666 @t659))))) % 0.60/1.13 (assume @p546 (forall @t320 (=> @t658 (=> @t359 (=> @t666 @t664))))) % 0.60/1.13 (assume @p547 (forall @t488 (=> @t660 (=> @t253 (=> @t487 (=> @t252 @t667)))))) % 0.60/1.13 (assume @p548 (forall @t488 (=> @t660 (=> @t253 (=> @t487 (=> @t264 @t667)))))) % 0.60/1.13 (assume @p549 (forall @t325 (=> @t658 (=> (or (and @t252 @t264) (and @t418 @t414)) @t655)))) % 0.60/1.13 (assume @p550 (forall @t325 (=> @t656 (=> (or (and @t252 @t414) (and @t418 @t264)) @t657)))) % 0.60/1.13 (assume @p551 (forall @t320 (=> @t653 (=> @t319 (=> @t669 @t668))))) % 0.60/1.13 (assume @p552 (forall @t320 (=> @t653 (=> @t319 (=> @t669 @t670))))) % 0.60/1.13 (assume @p553 (forall @t117 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t43) @t672))) % 0.60/1.13 (assume @p554 (forall @t117 (=> @t673 @t672))) % 0.60/1.13 (assume @p555 (forall @t117 (=> @t673 (=> @t322 (=> @t671 @t670))))) % 0.60/1.13 (assume @p556 (forall @t325 (=> @t653 (=> @t415 (=> @t416 @t674))))) % 0.60/1.13 (assume @p557 (forall @t325 (=> @t673 (=> @t415 (=> @t411 @t675))))) % 0.60/1.13 (assume @p558 (forall @t480 (=> @t653 (=> @t681 (= @t680 @t676))))) % 0.60/1.13 (assume @p559 (forall @t324 (=> @t673 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t620) @t682)))) % 0.60/1.13 (assume @p560 (forall @t325 (=> @t673 (=> @t674 @t682)))) % 0.60/1.13 (assume @p561 (forall @t325 (=> @t673 (=> @t297 (=> @t416 (tptp.c_Orderings_Oord__class_Oless @t43 @t620 @t44)))))) % 0.60/1.13 (assume @p562 (forall @t325 (=> @t673 (=> @t297 (=> @t416 @t675))))) % 0.60/1.13 (assume @p563 (forall @t325 (=> @t673 (=> @t297 (=> @t411 @t674))))) % 0.60/1.13 (assume @p564 (forall @t480 (=> @t653 (=> @t683 (= @t680 @t491))))) % 0.60/1.13 (assume @p565 (forall @t480 (=> @t653 (= @t680 @t684)))) % 0.60/1.13 (assume @p566 (forall @t478 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t591 @t588) @t684)))) % 0.60/1.13 (assume @p567 (forall @t49 (=> @t649 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t642 @t44))))) % 0.60/1.13 (assume @p568 (forall @t331 (=> @t653 (= (= @t686 @t44) @t502)))) % 0.60/1.13 (assume @p569 (forall (@list @t485 @t111 @t113 @t45 @t271 @t43) (=> @t547 (=> (not (= @t271 @t44)) (=> (and @t156 (not (= @t111 @t485))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 (tptp.hAPP @t687 @t111)) (tptp.c_Groups_Oplus__class_Oplus @t43 @t113 (tptp.hAPP @t687 @t485))))))))) % 0.60/1.13 (assume @p570 (forall (@list @t50 @t131 @t43) (=> @t254 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t131) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t50) (tptp.c_Orderings_Oord__class_Oless @t43 @t273 (tptp.hAPP @t688 @t50))))))) % 0.60/1.13 (assume @p571 (forall @t480 (=> @t66 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t679) @t678)) @t691)))) % 0.60/1.13 (assume @p572 (forall @t478 (=> @t66 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t591) @t588)) @t691)))) % 0.60/1.13 (assume @p573 (forall (@list @t131 @t43) (=> @t48 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t131 @t131) (tptp.hAPP (tptp.hAPP @t572 @t299) @t131))))) % 0.60/1.13 (assume @p574 (forall (@list @t45 @t131 @t43) (=> @t48 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t131 @t583) @t692)))) % 0.60/1.13 (assume @p575 (forall (@list @t131 @t45 @t43) (=> @t48 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t583 @t131) @t692)))) % 0.60/1.13 (assume @p576 (forall @t110 (=> @t309 (not (tptp.c_Polynomial_Opos__poly @t43 @t59))))) % 0.60/1.13 (assume @p577 (forall @t130 (=> @t309 (or @t128 @t646 (tptp.c_Polynomial_Opos__poly @t43 @t525))))) % 0.60/1.13 (assume @p578 (forall (@list @t51 @t52 @t50 @t43) (=> @t534 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 (tptp.hAPP (tptp.hAPP @t548 (tptp.c_Polynomial_Omonom @t43 @t273 @t50)) @t52)) @t51) (tptp.hAPP (tptp.hAPP @t572 @t72) @t54))))) % 0.60/1.13 (assume @p579 (forall @t62 (=> @t534 (= @t552 (tptp.hAPP (tptp.hAPP @t572 @t693) @t51))))) % 0.60/1.13 (assume @p580 (forall @t456 (=> @t92 (= (= @t685 @t273) (or @t468 (= @t100 @t693)))))) % 0.60/1.13 (assume @p581 (forall @t93 (=> @t86 (= @t266 @t637)))) % 0.60/1.13 (assume @p582 (forall @t93 (=> @t368 (= @t266 @t639)))) % 0.60/1.13 (assume @p583 (forall @t696 (=> @t48 (= @t695 @t694)))) % 0.60/1.13 (assume @p584 (forall @t696 (=> @t48 (= @t694 @t695)))) % 0.60/1.13 (assume @p585 (forall @t696 (=> @t48 (= (tptp.hAPP @t622 @t51) @t695)))) % 0.60/1.13 (assume @p586 (forall @t291 (=> @t368 (= (tptp.hAPP @t88 @t421) (tptp.hAPP (tptp.hAPP @t572 @t256) @t89))))) % 0.60/1.13 (assume @p587 (forall @t698 (=> @t48 (= (tptp.hAPP (tptp.hAPP @t572 @t697) @t621) (tptp.hAPP @t71 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t52 @t94)))))) % 0.60/1.13 (assume @p588 (forall @t205 (=> @t309 (=> @t646 (=> @t645 (tptp.c_Polynomial_Opos__poly @t43 @t344)))))) % 0.60/1.13 (assume @p589 (forall @t354 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t45 (tptp.c_Polynomial_OpCons @t43 @t113 @t52)) (tptp.c_Polynomial_OpCons @t43 @t574 @t229))))) % 0.60/1.13 (assume @p590 (forall @t699 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t229) @t51) (tptp.hAPP @t573 @t54))))) % 0.60/1.13 (assume @p591 (forall @t255 (=> @t61 (= (tptp.c_Polynomial_Osmult @t43 @t45 @t303) (tptp.c_Polynomial_Omonom @t43 @t574 @t50))))) % 0.60/1.13 (assume @p592 (forall @t490 (=> @t673 (=> @t664 @t700)))) % 0.60/1.13 (assume @p593 (forall @t489 (=> @t673 (=> @t659 @t700)))) % 0.60/1.13 (assume @p594 (forall @t490 (=> @t673 @t702))) % 0.60/1.13 (assume @p595 (forall @t490 (=> @t703 @t702))) % 0.60/1.13 (assume @p596 (forall @t489 (=> @t673 @t704))) % 0.60/1.13 (assume @p597 (forall @t489 (=> @t703 @t704))) % 0.60/1.13 (assume @p598 (forall @t488 (=> @t673 (=> @t253 (=> @t496 (=> @t297 @t706)))))) % 0.60/1.13 (assume @p599 (forall @t488 (=> @t673 (=> @t322 (=> @t487 (=> @t252 (=> @t671 @t705))))))) % 0.60/1.13 (assume @p600 (forall @t488 (=> @t673 (=> @t322 (=> @t496 (=> @t252 @t706)))))) % 0.60/1.13 (assume @p601 (forall @t488 (=> @t673 (=> @t322 (=> @t496 (=> @t411 @t706)))))) % 0.60/1.13 (assume @p602 (forall @t480 (=> @t653 (=> @t681 (= @t707 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t187 @t79)))))) % 0.60/1.13 (assume @p603 (forall @t480 (=> @t653 (=> @t683 (= @t707 @t475))))) % 0.60/1.13 (assume @p604 (forall @t310 (=> @t649 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t709)))) % 0.60/1.13 (assume @p605 (forall @t331 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t686 @t44) @t502)))) % 0.60/1.13 (assume @p606 (forall @t310 (=> @t649 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t709 @t44))))) % 0.60/1.13 (assume @p607 (forall @t331 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t686) (or (not @t455) @t710))))) % 0.60/1.13 (assume @p608 (forall @t310 (=> @t309 (=> @t713 (=> @t712 (=> @t711 (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.hAPP @t708 @t51) @t51))))))) % 0.60/1.13 (assume @p609 (forall @t310 (=> @t309 (=> @t713 (=> @t712 (=> @t711 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t596 @t51))))))) % 0.60/1.13 (assume @p610 (forall @t93 (=> @t254 (=> @t290 (tptp.c_Orderings_Oord__class_Oless @t43 @t89 @t637))))) % 0.60/1.13 (assume @p611 (forall @t93 (=> @t254 (=> @t290 (tptp.c_Orderings_Oord__class_Oless @t43 @t273 @t637))))) % 0.60/1.13 (assume @p612 (forall @t93 (=> @t714 (= (tptp.hAPP (tptp.hAPP @t55 @t509) @t50) (tptp.hAPP (tptp.hAPP @t572 (tptp.hAPP (tptp.hAPP @t55 @t693) @t50)) @t89))))) % 0.60/1.13 (assume @p613 (forall @t205 (=> @t61 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t716 @t715)))) % 0.60/1.13 (assume @p614 (forall @t205 (=> @t66 (=> @t129 (=> @t201 (= @t716 @t715)))))) % 0.60/1.13 (assume @p615 (forall @t699 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t195) @t51) (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 (tptp.hAPP @t594 @t54)))))) % 0.60/1.13 (assume @p616 (forall @t62 (=> @t554 (= (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t552) @t51)))) % 0.60/1.13 (assume @p617 (forall (@list @t100 @t717 @t190 @t43) (=> (tptp.class_Groups_Ouminus @t43) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t719 @t717) @t100) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t718))))) % 0.60/1.13 (assume @p618 (forall @t331 (=> @t554 (= (= @t535 @t533) @t147)))) % 0.60/1.13 (assume @p619 (forall (@list @t51 @t50 @t45 @t43) (=> @t48 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t282) @t51) (tptp.hAPP @t573 @t72))))) % 0.60/1.13 (assume @p620 (forall @t726 (=> (tptp.class_Rings_Olinordered__semiring__1 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t51 @t45) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t69 @t45) (=> @t725 (=> @t724 (=> @t723 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t722 @t45))))))))) % 0.60/1.13 (assume @p621 (forall @t93 (=> @t254 (=> @t297 (=> @t365 (tptp.c_Orderings_Oord__class_Oless @t43 @t637 @t89)))))) % 0.60/1.13 (assume @p622 (forall @t245 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t548 @t195) @t94) (tptp.c_Groups_Oplus__class_Oplus @t56 @t246 @t727))))) % 0.60/1.13 (assume @p623 (forall @t259 (=> @t61 (= (tptp.hAPP @t640 (tptp.c_Polynomial_OpCons @t43 @t45 @t94)) (tptp.c_Groups_Oplus__class_Oplus @t56 @t229 @t727))))) % 0.60/1.13 (assume @p624 (forall @t726 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t43) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t51 @t45) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t69 @t45) (=> @t725 (=> @t724 (=> @t723 (tptp.c_Orderings_Oord__class_Oless @t43 @t722 @t45))))))))) % 0.60/1.13 (assume @p625 (forall (@list @t549 @t341 @t43) (=> (and @t635 @t106) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t341 (tptp.hAPP (tptp.hAPP @t572 @t549) @t3)))) (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t549) (tptp.c_Groups_Oplus__class_Oplus @t43 @t3 @t44))) @t728)))))) % 0.60/1.13 (assume @p626 (forall (@list @t50 @t51) (=> @t730 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 (tptp.hAPP @t729 @t50))))) % 0.60/1.13 (assume @p627 (forall @t245 (=> @t61 (= (tptp.c_Polynomial_Opcompose @t43 @t195 @t94) (tptp.c_Groups_Oplus__class_Oplus @t56 @t263 (tptp.hAPP @t648 @t731)))))) % 0.60/1.13 (assume @p628 (forall @t110 (=> @t86 (= @t55 (tptp.c_Power_Opower_Opower @t43 @t273 @t572))))) % 0.60/1.13 (assume @p629 (forall @t740 (= (tptp.hAPP (tptp.hAPP @t733 @t739) @t555) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t738 @t735)))) % 0.60/1.13 (assume @p630 (forall @t744 (= (tptp.hAPP @t741 @t739) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t743 @t742)))) % 0.60/1.13 (assume @p631 (forall @t569 (= (tptp.hAPP @t745 @t560) @t173))) % 0.60/1.13 (assume @p632 (forall @t569 (= (tptp.hAPP (tptp.hAPP @t733 @t560) @t173) @t173))) % 0.60/1.13 (assume @p633 (forall @t558 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t747) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t571 @t746)))) % 0.60/1.13 (assume @p634 (forall @t558 (= (tptp.hAPP (tptp.hAPP @t733 @t571) @t555) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t748)))) % 0.60/1.13 (assume @p635 (forall @t569 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t571) @t173))) % 0.60/1.13 (assume @p636 (forall @t698 (=> @t48 (= (tptp.hAPP (tptp.hAPP @t55 @t697) @t94) (tptp.hAPP @t71 (tptp.hAPP @t750 @t94)))))) % 0.60/1.13 (assume @p637 (forall @t517 (= (= @t756 @t754) @t752))) % 0.60/1.13 (assume @p638 (forall @t439 (= @t760 @t752))) % 0.60/1.13 (assume @p639 (forall @t239 (= (= @t761 @t10) (or @t102 @t77)))) % 0.60/1.13 (assume @p640 (forall @t133 (= (tptp.hAPP @t762 @t10) @t10))) % 0.60/1.13 (assume @p641 (forall @t99 (= (tptp.hAPP (tptp.hAPP @t749 @t10) @t50) @t10))) % 0.60/1.13 (assume @p642 (forall @t291 (=> @t368 (= (tptp.hAPP @t88 @t763) (tptp.hAPP (tptp.hAPP @t55 @t256) @t50))))) % 0.60/1.13 (assume @p643 (forall @t439 (= (= @t766 @t765) @t298))) % 0.60/1.13 (assume @p644 (forall @t161 (=> @t730 (=> @t767 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 (tptp.hAPP (tptp.hAPP @t733 @t51) @t69)))))) % 0.60/1.13 (assume @p645 (forall @t516 (= (tptp.hAPP (tptp.hAPP @t749 @t421) @t123) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t770 @t769)))) % 0.60/1.13 (assume @p646 (forall @t774 (= (tptp.hAPP @t771 @t421) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t773 @t772)))) % 0.60/1.13 (assume @p647 (forall @t431 (=> @t223 (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t777 (tptp.hAPP @t775 @t427)))))) % 0.60/1.13 (assume @p648 (forall @t224 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t779 @t778)))) % 0.60/1.13 (assume @p649 (forall @t224 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t777 @t780)))) % 0.60/1.13 (assume @p650 (forall @t133 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 (tptp.hAPP @t762 @t781)))) % 0.60/1.13 (assume @p651 (forall @t133 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 @t781))) % 0.60/1.13 (assume @p652 (forall @t99 (= (tptp.hAPP (tptp.hAPP @t749 @t380) @t50) @t50))) % 0.60/1.13 (assume @p653 (forall @t239 (= (= @t380 @t761) @t783))) % 0.60/1.13 (assume @p654 (forall @t99 (= (tptp.hAPP @t768 @t380) @t50))) % 0.60/1.13 (assume @p655 (forall @t239 (= (= @t761 @t380) @t783))) % 0.60/1.13 (assume @p656 (forall (@list @t140 @t784 @t100 @t589 @t79) (=> (tptp.hBOOL (tptp.hAPP @t212 @t589)) (= (tptp.hBOOL (tptp.hAPP @t212 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t100 @t784))) (tptp.hBOOL (tptp.hAPP @t212 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t100 (tptp.hAPP (tptp.hAPP @t733 @t140) @t589)) @t784))))))) % 0.60/1.13 (assume @p657 (forall (@list @t101 @t76 @t436) (= (tptp.hBOOL (tptp.hAPP @t785 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t76 @t787))) (tptp.hBOOL (tptp.hAPP @t785 @t76))))) % 0.60/1.13 (assume @p658 (forall @t176 (= (tptp.hAPP (tptp.hAPP @t211 @t788) @t173) (tptp.hAPP @t729 (tptp.hAPP (tptp.hAPP @t749 @t69) @t173))))) % 0.60/1.13 (assume @p659 (forall @t558 (= @t747 @t565))) % 0.60/1.13 (assume @p660 (forall @t176 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 @t173)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 @t173))))) % 0.60/1.13 (assume @p661 (forall @t790 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t739 @t789) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t736 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t732 @t789))))) % 0.60/1.13 (assume @p662 (forall (@list @t784 @t101 @t436) (=> (not (= @t436 @t545)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t101) @t784)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t787) (tptp.hAPP @t786 @t784))))))) % 0.60/1.13 (assume @p663 (forall @t205 (=> @t61 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t43 @t731) (tptp.hAPP @t791 @t200))))) % 0.60/1.13 (assume @p664 (forall @t239 (= (= @t761 @t97) (and @t136 @t451)))) % 0.60/1.13 (assume @p665 (forall @t224 (=> @t375 (=> @t792 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t779 @t778))))) % 0.60/1.13 (assume @p666 (forall @t224 (=> @t375 (=> @t792 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t777 @t780))))) % 0.60/1.13 (assume @p667 (forall @t517 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t756 @t754) @t794))) % 0.60/1.13 (assume @p668 (forall @t439 (= @t795 @t794))) % 0.60/1.13 (assume @p669 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t761) (and @t453 @t369)))) % 0.60/1.13 (assume @p670 (forall @t439 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t766 @t765) @t333))) % 0.60/1.13 (assume @p671 (forall @t172 (= (tptp.hAPP @t762 @t104) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t763)))) % 0.60/1.13 (assume @p672 (forall @t172 (= (tptp.hAPP (tptp.hAPP @t749 @t132) @t50) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t763)))) % 0.60/1.13 (assume @p673 (forall @t224 (=> @t576 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t123) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t796 @t206) (tptp.hAPP @t796 @t222)))))) % 0.60/1.13 (assume @p674 (forall @t239 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t101) (= (= (tptp.hAPP (tptp.hAPP @t733 @t101) @t76) @t560) (and (= @t101 @t560) (= @t76 @t560)))))) % 0.60/1.13 (assume @p675 (forall @t439 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t766 @t765) @t238))) % 0.60/1.13 (assume @p676 (forall @t172 (=> (= @t131 @t763) (or (= @t50 @t380) @t797)))) % 0.60/1.13 (assume @p677 (forall @t774 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.hAPP @t796 @t131)) (tptp.hAPP @t796 @t50))) (=> (not (= @t123 @t545)) @t544)))) % 0.60/1.13 (assume @p678 (forall @t176 (= (tptp.hAPP @t729 @t514) (tptp.hAPP (tptp.hAPP @t733 @t788) (tptp.hAPP @t729 @t173))))) % 0.60/1.13 (assume @p679 (forall @t381 (=> @t61 (= (tptp.c_Polynomial_Opcompose @t43 @t59 @t94) @t59)))) % 0.60/1.13 (assume @p680 (forall @t352 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t731) @t51) (tptp.hAPP @t53 @t351))))) % 0.60/1.13 (assume @p681 (forall (@list @t79 @t799 @t798 @t43) (= (tptp.hAPP @t800 @t10) @t798))) % 0.60/1.13 (assume @p682 (forall (@list @t76 @t79 @t799 @t798 @t43) (= (tptp.hAPP @t800 @t236) (tptp.hAPP (tptp.hAPP @t799 @t79) (tptp.hAPP @t800 @t76))))) % 0.60/1.13 (assume @p683 (forall @t338 (=> @t802 (=> @t801 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t763))))) % 0.60/1.13 (assume @p684 (forall @t338 (=> @t802 (=> @t801 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t803))))) % 0.60/1.13 (assume @p685 (forall @t338 (=> @t802 (=> @t801 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t763))))) % 0.60/1.13 (assume @p686 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t761) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t101) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t76))))) % 0.60/1.13 (assume @p687 (forall @t774 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t773) @t772)) (=> @t792 @t171)))) % 0.60/1.13 (assume @p688 (forall @t517 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t756 @t754) @t804))) % 0.60/1.13 (assume @p689 (forall @t439 (= @t805 @t804))) % 0.60/1.13 (assume @p690 (forall @t806 (=> @t48 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t43 @t58) (tptp.hAPP @t791 @t50))))) % 0.60/1.13 (assume @p691 (forall @t809 (= @t808 (tptp.hBOOL (tptp.hAPP @t807 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t784)))))) % 0.60/1.13 (assume @p692 (forall @t809 (= @t808 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t589)) @t784))))) % 0.60/1.13 (assume @p693 (forall @t239 (=> @t453 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t761) @t101)) @t782)))) % 0.60/1.13 (assume @p694 (forall @t239 (=> @t453 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 (tptp.hAPP @t753 @t101)) @t101)) @t782)))) % 0.60/1.13 (assume @p695 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t545)) % 0.60/1.13 (assume @p696 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t560)) % 0.60/1.13 (assume @p697 (forall @t161 (=> @t730 (=> @t767 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 @t69)))))) % 0.60/1.13 (assume @p698 (forall @t813 (=> @t812 (=> @t811 (=> @t810 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t94 @t560)))))) % 0.60/1.13 (assume @p699 (forall @t813 (=> @t812 (=> @t811 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t271 @t45) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t560 @t94)))))) % 0.60/1.13 (assume @p700 (forall @t821 (=> @t820 (=> @t818 (=> @t816 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t814)))))) % 0.60/1.13 (assume @p701 (forall @t790 (= (tptp.hAPP (tptp.hAPP @t733 (tptp.hAPP @t737 @t732)) @t789) (tptp.hAPP @t737 (tptp.hAPP @t734 @t789))))) % 0.60/1.13 (assume @p702 (forall @t558 (= @t748 (tptp.hAPP @t741 @t173)))) % 0.60/1.13 (assume @p703 (forall @t516 (= (tptp.hAPP (tptp.hAPP @t749 @t763) @t123) (tptp.hAPP @t762 @t769)))) % 0.60/1.13 (assume @p704 (forall @t172 (= @t763 @t803))) % 0.60/1.13 (assume @p705 (forall @t830 (=> @t829 (=> @t826 (=> @t825 (=> @t824 (=> @t816 (=> @t823 @t822)))))))) % 0.60/1.13 (assume @p706 (forall @t833 (=> @t832 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t271 @t545) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t113 @t271) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t113 @t817) @t831)))))) % 0.60/1.13 (assume @p707 (forall @t830 (=> @t829 (=> @t820 (=> @t818 (=> @t810 (=> @t816 (=> @t823 @t831)))))))) % 0.60/1.13 (assume @p708 (forall @t833 (=> @t832 (=> @t824 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t817 @t113) (=> @t825 @t822)))))) % 0.60/1.13 (assume @p709 (forall @t821 (=> @t826 (=> @t824 (=> @t816 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t814 @t545)))))) % 0.60/1.13 (assume @p710 (forall @t439 (=> @t793 (= @t805 @t238)))) % 0.60/1.13 (assume @p711 (forall @t439 (=> @t793 (= @t835 @t834)))) % 0.60/1.13 (assume @p712 (forall @t439 (= @t760 (or @t751 @t298)))) % 0.60/1.13 (assume @p713 (forall (@list @t123 @t222 @t721 @t206) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t837 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t836 @t123)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 @t425) @t721) @t123)))) % 0.60/1.13 (assume @p714 (forall @t439 (=> @t793 (= @t795 @t333)))) % 0.60/1.13 (assume @p715 (forall @t439 (=> @t793 (= @t760 @t298)))) % 0.60/1.13 (assume @p716 (forall @t439 (= @t835 (or @t751 @t834)))) % 0.60/1.13 (assume @p717 (forall (@list @t838 @t118 @t144 @t100 @t43) (=> @t218 (= (tptp.c_Polynomial_Opdivmod__rel @t43 @t100 @t144 @t118 @t838) (and (= @t100 (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.hAPP (tptp.hAPP @t548 @t118) @t144) @t838)) (=> @t840 @t216) (=> (not @t840) (or @t839 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t43 @t838) (tptp.c_Polynomial_Odegree @t43 @t144))))))))) % 0.60/1.13 (assume @p718 (forall @t325 (=> @t841 (= @t599 @t600)))) % 0.60/1.13 (assume @p719 (forall (@list @t838 @t118 @t144 @t43) (=> @t218 (= (tptp.c_Polynomial_Opdivmod__rel @t43 @t59 @t144 @t118 @t838) (and @t216 @t839))))) % 0.60/1.13 (assume @p720 (forall (@list @t838 @t118 @t100 @t43) (=> @t218 (= (tptp.c_Polynomial_Opdivmod__rel @t43 @t100 @t59 @t118 @t838) (and @t216 (= @t838 @t100)))))) % 0.60/1.13 (assume @p721 (forall @t842 (=> @t218 (tptp.c_Polynomial_Opdivmod__rel @t43 @t59 @t69 @t59 @t59)))) % 0.60/1.13 (assume @p722 (forall @t62 (=> @t218 (tptp.c_Polynomial_Opdivmod__rel @t43 @t51 @t59 @t59 @t51)))) % 0.60/1.13 (assume @p723 (forall (@list @t45 @t271 @t94 @t69 @t51 @t43) (=> @t218 (=> @t844 (tptp.c_Polynomial_Opdivmod__rel @t43 @t843 @t69 @t246 (tptp.c_Polynomial_Osmult @t43 @t45 @t271)))))) % 0.60/1.13 (assume @p724 (forall @t853 (=> @t218 (=> @t852 (=> @t851 (and @t850 @t847)))))) % 0.60/1.13 (assume @p725 (forall @t853 (=> @t218 (=> @t852 (=> @t851 @t847))))) % 0.60/1.13 (assume @p726 (forall @t853 (=> @t218 (=> @t852 (=> @t851 @t850))))) % 0.60/1.13 (assume @p727 (forall (@list @t817 @t814 @t173 @t271 @t94 @t69 @t51 @t43) (=> @t218 (=> @t844 (=> (tptp.c_Polynomial_Opdivmod__rel @t43 @t94 @t173 @t814 @t817) (tptp.c_Polynomial_Opdivmod__rel @t43 @t51 (tptp.hAPP @t854 @t173) @t814 (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.hAPP @t854 @t817) @t271))))))) % 0.60/1.13 (assume @p728 (forall (@list @t113 @t43) (=> @t841 (= (tptp.hAPP @t624 @t113) @t44)))) % 0.60/1.13 (assume @p729 (forall @t842 (=> @t841 (= (tptp.hAPP @t624 @t69) @t44)))) % 0.60/1.13 (assume @p730 (forall @t49 (=> @t841 @t623))) % 0.60/1.13 (assume @p731 (forall @t62 (=> @t841 (= (tptp.hAPP @t594 @t44) @t44)))) % 0.60/1.13 (assume @p732 (forall @t859 (=> @t841 (= (tptp.hAPP (tptp.hAPP @t572 @t858) @t855) (tptp.c_Groups_Oplus__class_Oplus @t43 @t857 @t856))))) % 0.60/1.13 (assume @p733 (forall @t862 (=> @t841 (= (tptp.hAPP (tptp.hAPP @t572 (tptp.c_Groups_Oplus__class_Oplus @t43 @t45 @t860)) @t113) (tptp.c_Groups_Oplus__class_Oplus @t43 @t574 @t861))))) % 0.60/1.13 (assume @p734 (forall @t867 (=> @t841 (= (tptp.hAPP @t864 @t858) (tptp.c_Groups_Oplus__class_Oplus @t43 @t866 @t865))))) % 0.60/1.13 (assume @p735 (forall @t869 (=> @t841 (= (tptp.hAPP @t573 (tptp.c_Groups_Oplus__class_Oplus @t43 @t113 @t815)) (tptp.c_Groups_Oplus__class_Oplus @t43 @t574 @t868))))) % 0.60/1.13 (assume @p736 (forall @t310 (=> @t841 (= (tptp.hAPP (tptp.hAPP @t572 @t552) @t69) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t596))))) % 0.60/1.13 (assume @p737 (forall @t325 (=> @t841 (= @t603 @t600)))) % 0.60/1.13 (assume @p738 (forall (@list @t51 @t863 @t43) (=> @t841 (= (tptp.hAPP @t864 @t552) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t866))))) % 0.60/1.13 (assume @p739 (forall (@list @t436 @t341 @t589) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t545 @t589) (=> (forall @t6 (=> @t728 (tptp.hBOOL (tptp.hAPP @t341 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t589))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t545 @t436) (forall @t6 (=> @t728 (tptp.hBOOL (tptp.hAPP @t341 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t786 @t589))))))))))) % 0.60/1.13 (assume @p740 (forall (@list @t76 @t341) (=> @t872 (=> (tptp.hBOOL @t342) (exists @t449 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t447 @t76) (forall (@list @t870) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t870 @t447) (not (tptp.hBOOL (tptp.hAPP @t341 @t870))))) (tptp.hBOOL (tptp.hAPP @t341 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t447 @t380))))))))) % 0.60/1.13 (assume @p741 (forall @t806 (=> @t109 (=> @t392 (=> @t875 (or @t128 @t349)))))) % 0.60/1.13 (assume @p742 (forall @t383 (=> @t368 (=> @t277 (= (tptp.hAPP (tptp.hAPP @t572 (tptp.hAPP @t71 @t876)) @t51) @t72))))) % 0.60/1.13 (assume @p743 (forall @t205 (=> @t66 (=> (= @t879 @t878) (=> @t204 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 @t94) @t52)) (= @t52 @t94))))))) % 0.60/1.13 (assume @p744 (forall @t258 (=> @t109 (and (=> @t169 (= @t880 @t45)) (=> @t336 (= @t880 @t44)))))) % 0.60/1.13 (assume @p745 (forall @t882 (=> @t304 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t344) @t50) (tptp.c_Groups_Oplus__class_Oplus @t43 @t874 @t881))))) % 0.60/1.13 (assume @p746 (forall @t325 (=> @t526 (= @t884 (tptp.c_Groups_Ominus__class_Ominus @t43 @t113 @t45))))) % 0.60/1.13 (assume @p747 (forall @t325 (=> @t518 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t302 @t113) @t45)))) % 0.60/1.13 (assume @p748 (forall @t325 (=> @t518 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t883 @t113) @t45)))) % 0.60/1.13 (assume @p749 (forall @t445 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t443 @t515) @t885))) % 0.60/1.13 (assume @p750 (forall @t774 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t886 @t426) @t885))) % 0.60/1.13 (assume @p751 (forall @t224 (= @t888 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t206 @t432)))) % 0.60/1.13 (assume @p752 (forall @t338 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t450 @t50) @t131))) % 0.60/1.13 (assume @p753 (forall @t172 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t421 @t50) @t131))) % 0.60/1.13 (assume @p754 (forall @t522 (=> @t527 (= @t475 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t889 @t44))))) % 0.60/1.13 (assume @p755 (forall @t522 (=> @t527 (= @t491 (tptp.c_Orderings_Oord__class_Oless @t43 @t889 @t44))))) % 0.60/1.13 (assume @p756 (forall @t317 (=> @t534 (=> @t75 (=> (tptp.hBOOL (tptp.hAPP @t74 @t173)) (tptp.hBOOL (tptp.hAPP @t74 (tptp.c_Groups_Ominus__class_Ominus @t43 @t69 @t173)))))))) % 0.60/1.13 (assume @p757 (forall @t516 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t890 (tptp.c_Nat_OSuc @t123)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t885 @t123)))) % 0.60/1.13 (assume @p758 (forall @t172 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t132 @t104) @t885))) % 0.60/1.13 (assume @p759 (forall @t774 (=> @t892 (=> @t401 @t891)))) % 0.60/1.13 (assume @p760 (forall @t267 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus @t56 @t282 @t303) (tptp.c_Polynomial_Omonom @t43 @t883 @t50))))) % 0.60/1.13 (assume @p761 (forall @t346 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus @t56 @t195 @t345) (tptp.c_Polynomial_OpCons @t43 @t883 @t893))))) % 0.60/1.13 (assume @p762 (forall @t352 (=> @t524 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t893) @t51) (tptp.c_Groups_Ominus__class_Ominus @t43 @t54 @t351))))) % 0.60/1.13 (assume @p763 (forall @t354 (=> @t524 (= (tptp.c_Polynomial_Osmult @t43 @t883 @t52) (tptp.c_Groups_Ominus__class_Ominus @t56 @t229 @t353))))) % 0.60/1.13 (assume @p764 (forall @t224 (= @t888 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t206 @t123) @t222)))) % 0.60/1.13 (assume @p765 (forall @t882 (=> @t526 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t893) @t50) (tptp.c_Groups_Ominus__class_Ominus @t43 @t874 @t881))))) % 0.60/1.13 (assume @p766 (forall @t331 (=> @t109 (= (= (tptp.c_Polynomial_Ocoeff @t43 @t100) (tptp.c_Polynomial_Ocoeff @t43 @t144)) @t147)))) % 0.60/1.13 (assume @p767 (forall @t120 (=> @t109 (= @t119 (forall @t122 (= (tptp.hAPP @t894 @t121) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t118) @t121))))))) % 0.60/1.13 (assume @p768 (forall @t593 (=> @t526 (=> @t895 (= @t225 @t592))))) % 0.60/1.13 (assume @p769 (forall (@list @t100 @t896 @t717 @t190 @t43) (=> (tptp.class_Groups_Ominus @t43) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t719 @t717 @t896) @t100) (tptp.c_Groups_Ominus__class_Ominus @t43 @t718 (tptp.hAPP @t896 @t100)))))) % 0.60/1.13 (assume @p770 (forall @t439 (=> @t900 (=> @t899 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t898 @t897) @t238))))) % 0.60/1.13 (assume @p771 (forall @t774 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t131) (=> @t399 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t123) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t123)) @t885))))) % 0.60/1.13 (assume @p772 (forall @t439 (=> @t900 (=> @t899 (= (= @t898 @t897) @t298))))) % 0.60/1.13 (assume @p773 (forall @t209 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t206 @t50) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t206)) @t206)))) % 0.60/1.13 (assume @p774 (forall @t901 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t427) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t427))))) % 0.60/1.13 (assume @p775 (forall @t901 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t903 @t902)))) % 0.60/1.13 (assume @p776 (forall @t172 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t885 @t131))) % 0.60/1.13 (assume @p777 (forall @t901 (=> @t284 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t131 @t427) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t903 @t902))))) % 0.60/1.13 (assume @p778 (forall (@list @t50 @t123 @t222) (=> @t374 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t50) @t123)))) % 0.60/1.13 (assume @p779 (forall @t99 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t10 @t50) @t10))) % 0.60/1.13 (assume @p780 (forall @t133 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t10) @t131))) % 0.60/1.13 (assume @p781 (forall @t133 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t131) @t10))) % 0.60/1.13 (assume @p782 (forall @t172 (=> @t904 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t131) @t10) @t169)))) % 0.60/1.13 (assume @p783 (forall @t593 (=> @t527 (=> @t895 (= @t491 (tptp.c_Orderings_Oord__class_Oless @t43 @t140 @t589)))))) % 0.60/1.13 (assume @p784 (forall @t593 (=> @t527 (=> @t895 (= @t475 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t140 @t589)))))) % 0.60/1.13 (assume @p785 (forall @t49 (=> @t518 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t45 @t44) @t45)))) % 0.60/1.13 (assume @p786 (forall @t49 (=> @t518 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t45 @t45) @t44)))) % 0.60/1.13 (assume @p787 (forall @t522 (=> @t526 (= @t225 @t905)))) % 0.60/1.13 (assume @p788 (forall @t522 (=> @t518 (= @t905 @t225)))) % 0.60/1.13 (assume @p789 (forall @t907 (=> @t109 (= (tptp.hAPP @t906 @t104) @t874)))) % 0.60/1.13 (assume @p790 (forall @t907 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t229) @t50) (tptp.hAPP @t573 @t874))))) % 0.60/1.13 (assume @p791 (forall @t231 (=> @t109 (= (tptp.hAPP @t906 @t10) @t45)))) % 0.60/1.13 (assume @p792 (forall @t99 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t104 @t380) @t50))) % 0.60/1.13 (assume @p793 (forall @t172 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t104) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t908 @t50)))) % 0.60/1.13 (assume @p794 (forall @t911 (=> @t910 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t206 @t909) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t430 @t222))))) % 0.60/1.13 (assume @p795 (forall (@list @t912 @t436 @t914) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t915 @t912) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t914 @t913)))) % 0.60/1.13 (assume @p796 (forall (@list @t131 @t50 @t123) (=> @t399 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t450 @t123))))) % 0.60/1.13 (assume @p797 (forall @t338 (=> @t220 @t916))) % 0.60/1.13 (assume @p798 (forall @t911 (=> @t910 (= @t918 @t917)))) % 0.60/1.13 (assume @p799 (forall (@list @t912 @t914 @t436) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t436 @t914) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t912 @t915) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t913 @t914))))) % 0.60/1.13 (assume @p800 (forall @t338 (=> @t220 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t885 @t50) @t131)))) % 0.60/1.13 (assume @p801 (forall @t921 (=> @t920 (= (= @t919 @t436) (= @t914 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 @t912)))))) % 0.60/1.13 (assume @p802 (forall @t911 (=> @t910 (= @t917 @t918)))) % 0.60/1.13 (assume @p803 (forall @t911 (=> @t910 (= @t923 @t922)))) % 0.60/1.13 (assume @p804 (forall @t911 (=> @t910 (= @t922 @t923)))) % 0.60/1.13 (assume @p805 (forall @t774 (=> @t891 (=> @t892 (=> @t220 @t401))))) % 0.60/1.13 (assume @p806 (forall @t774 (=> @t891 (=> @t401 (=> @t220 @t892))))) % 0.60/1.13 (assume @p807 (forall @t439 (=> @t900 (=> @t899 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t898 @t897) @t333))))) % 0.60/1.13 (assume @p808 (forall @t167 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t45 @t113) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t45) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t111) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t111)))))) % 0.60/1.13 (assume @p809 (forall @t172 (=> @t371 @t916))) % 0.60/1.13 (assume @p810 (forall @t921 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t912 @t915) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t913 @t914)))) % 0.60/1.13 (assume @p811 (forall @t108 (=> @t109 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t59) @t50) @t44)))) % 0.60/1.13 (assume @p812 (forall @t338 (=> @t220 (= @t890 (tptp.c_Nat_OSuc @t885))))) % 0.60/1.13 (assume @p813 (forall @t239 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t76) @t10) @t238))) % 0.60/1.13 (assume @p814 (forall @t172 (=> @t221 @t904))) % 0.60/1.13 (assume @p815 (forall @t338 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t450) @t10))) % 0.60/1.13 (assume @p816 (forall @t172 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t885 @t132))) % 0.60/1.13 (assume @p817 (forall @t338 (=> @t277 (=> @t390 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t885 @t131))))) % 0.60/1.13 (assume @p818 (forall @t241 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t76 @t101)) @t333))) % 0.60/1.13 (assume @p819 (forall @t325 (=> @t518 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t45 @t529) @t302)))) % 0.60/1.13 (assume @p820 (forall @t310 (=> @t534 (= @t924 (tptp.c_Groups_Oplus__class_Oplus @t43 @t51 @t553))))) % 0.60/1.13 (assume @p821 (forall @t325 (=> @t526 @t925))) % 0.60/1.13 (assume @p822 (forall @t325 (=> @t518 @t925))) % 0.60/1.13 (assume @p823 (forall @t49 (=> @t518 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t44 @t45) @t509)))) % 0.60/1.13 (assume @p824 (forall @t930 (=> @t601 (= @t929 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t594 @t928) @t927))))) % 0.60/1.13 (assume @p825 (forall @t936 (=> @t601 (= @t935 (= @t932 @t589))))) % 0.60/1.13 (assume @p826 (forall @t936 (=> @t601 (= @t935 (= @t140 @t937))))) % 0.60/1.13 (assume @p827 (forall @t774 (= (tptp.hAPP @t771 @t885) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t773 @t772)))) % 0.60/1.13 (assume @p828 (forall @t516 (= (tptp.hAPP (tptp.hAPP @t749 @t885) @t123) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t770 @t769)))) % 0.60/1.13 (assume @p829 (forall @t806 (=> @t526 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t525) @t50) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t874))))) % 0.60/1.13 (assume @p830 (forall @t930 (=> @t841 (= @t929 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t926 @t928) @t927) (tptp.hAPP @t573 @t928)))))) % 0.60/1.13 (assume @p831 (forall @t869 (=> @t841 (= (tptp.hAPP @t573 (tptp.c_Groups_Ominus__class_Ominus @t43 @t113 @t815)) (tptp.c_Groups_Ominus__class_Ominus @t43 @t574 @t868))))) % 0.60/1.13 (assume @p832 (forall @t867 (=> @t841 (= (tptp.hAPP @t864 @t924) (tptp.c_Groups_Ominus__class_Ominus @t43 @t866 @t865))))) % 0.60/1.13 (assume @p833 (forall @t862 (=> @t841 (= (tptp.hAPP (tptp.hAPP @t572 (tptp.c_Groups_Ominus__class_Ominus @t43 @t45 @t860)) @t113) (tptp.c_Groups_Ominus__class_Ominus @t43 @t574 @t861))))) % 0.60/1.13 (assume @p834 (forall @t859 (=> @t841 (= (tptp.hAPP @t938 @t855) (tptp.c_Groups_Ominus__class_Ominus @t43 @t857 @t856))))) % 0.60/1.13 (assume @p835 (forall @t936 (=> @t658 (= @t939 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t140 @t937))))) % 0.60/1.13 (assume @p836 (forall @t936 (=> @t658 (= @t939 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t932 @t589))))) % 0.60/1.13 (assume @p837 (forall @t936 (=> @t658 (= @t940 (tptp.c_Orderings_Oord__class_Oless @t43 @t932 @t589))))) % 0.60/1.13 (assume @p838 (forall @t936 (=> @t658 (= @t940 (tptp.c_Orderings_Oord__class_Oless @t43 @t140 @t937))))) % 0.60/1.13 (assume @p839 (forall @t62 (=> @t714 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t644 @t273) (tptp.hAPP (tptp.hAPP @t572 (tptp.c_Groups_Oplus__class_Oplus @t43 @t51 @t273)) (tptp.c_Groups_Ominus__class_Ominus @t43 @t51 @t273)))))) % 0.60/1.13 (assume @p840 (forall (@list @t784 @t941 @t589 @t43) (=> (and @t524 @t635) (=> (tptp.hBOOL (tptp.hAPP @t942 @t941)) (forall (@list @t3 @t447) (= (tptp.hBOOL (tptp.hAPP @t942 (tptp.c_Groups_Oplus__class_Oplus @t43 @t3 @t784))) (tptp.hBOOL (tptp.hAPP @t942 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t3 (tptp.hAPP (tptp.hAPP @t572 @t447) @t941)) @t784))))))))) % 0.60/1.13 (assume @p841 (forall @t99 (=> @t277 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t97)) @t50)))) % 0.60/1.13 (assume @p842 (forall (@list @t206 @t50) (=> @t277 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t373) @t50)))) % 0.60/1.13 (assume @p843 (forall @t949 (= @t948 (not (or (and @t947 @t872) (exists @t946 (and @t945 (not @t944)))))))) % 0.60/1.13 (assume @p844 (forall @t949 (= @t948 (and (=> @t947 @t871) (forall @t946 (=> @t945 @t944)))))) % 0.60/1.13 (assume @p845 (forall @t952 (=> @t910 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t951) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t443 @t950))))) % 0.60/1.13 (assume @p846 (forall @t952 (=> @t910 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t951 @t131) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t950 @t886))))) % 0.60/1.13 (assume @p847 (forall @t806 (=> @t109 (=> @t349 @t875)))) % 0.60/1.13 (assume @p848 (forall @t806 (=> @t109 (=> (not @t875) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t125))))) % 0.60/1.13 (assume @p849 (forall @t959 (=> @t958 (= @t957 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t954 @t76))))) % 0.60/1.13 (assume @p850 (forall (@list @t50 @t131 @t721 @t206 @t222) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t222 @t206) (= @t960 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 @t887) @t721) @t131) @t50))))) % 0.60/1.13 (assume @p851 (forall @t959 (=> @t958 (= @t961 (= @t954 @t76))))) % 0.60/1.13 (assume @p852 (forall @t963 (=> @t920 (= @t957 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t962))))) % 0.60/1.13 (assume @p853 (forall (@list @t50 @t131 @t721 @t222 @t206) (=> @t223 (= @t960 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t749 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t206)) @t721) @t50)))))) % 0.60/1.13 (assume @p854 (forall @t963 (=> @t920 (= @t961 (= @t101 @t962))))) % 0.60/1.13 (assume @p855 (forall @t130 (=> @t109 (=> @t129 (not (= @t879 @t44)))))) % 0.60/1.13 (assume @p856 (forall @t68 (=> @t109 (= (= @t964 @t44) @t64)))) % 0.60/1.13 (assume @p857 (forall @t272 (=> @t61 (= (tptp.c_Polynomial_Odegree @t43 @t260) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t125 @t380))))) % 0.60/1.13 (assume @p858 (forall @t99 (=> @t277 (= @t50 @t965)))) % 0.60/1.13 (assume @p859 (forall @t99 (=> @t277 (= @t965 @t50)))) % 0.60/1.13 (assume @p860 (forall @t172 (and (=> @t797 (= @t421 @t50)) (=> @t966 (= @t421 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t908 @t50))))))) % 0.60/1.13 (assume @p861 (forall @t959 (=> @t958 (= @t967 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t954 @t76))))) % 0.60/1.13 (assume @p862 (forall @t963 (=> @t920 (= @t967 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t962))))) % 0.60/1.13 (assume @p863 (forall @t172 (and (=> @t797 (= @t763 @t10)) (=> @t966 (= @t763 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 (tptp.hAPP (tptp.hAPP @t749 @t908) @t50))))))) % 0.60/1.13 (assume @p864 (forall (@list @t52 @t131) (and (=> @t797 (= @t969 @t380)) (=> @t966 (= @t969 (tptp.hAPP @t750 (tptp.hAPP @t968 @t908))))))) % 0.60/1.13 (assume @p865 (forall @t205 (=> @t61 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t641) @t715) (tptp.hAPP (tptp.hAPP @t572 @t879) @t878))))) % 0.60/1.13 (assume @p866 (forall @t108 (=> @t48 (and (=> @t95 (= @t970 @t273)) (=> @t96 (= @t970 @t44)))))) % 0.60/1.13 (assume @p867 (forall @t68 (=> @t309 (= @t551 (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t964))))) % 0.60/1.13 (assume @p868 (forall @t93 (=> @t48 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t275) @t50) @t273)))) % 0.60/1.13 (assume @p869 (forall @t310 (=> @t534 (= (tptp.c_Groups_Ominus__class_Ominus @t43 (tptp.hAPP @t71 @t419) (tptp.hAPP @t70 @t419)) (tptp.hAPP @t938 @t858))))) % 0.60/1.13 (assume @p870 (forall (@list @t131 @t50 @t43) (=> @t86 (and (=> @t95 (= @t972 @t273)) (=> @t96 (= @t972 (tptp.hAPP @t688 (tptp.hAPP @t971 @t876)))))))) % 0.60/1.13 (assume @p871 (forall (@list @t69 @t50 @t52 @t43) (=> @t368 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t52 @t50) (= (tptp.hAPP @t70 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t104 @t52)) (tptp.hAPP (tptp.hAPP @t572 (tptp.hAPP @t70 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t52))) @t69)))))) % 0.60/1.13 (assume @p872 (forall @t331 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t100 @t144) (or @t147 @t973))))) % 0.60/1.13 (assume @p873 (forall @t331 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless @t56 @t100 @t144) @t973)))) % 0.60/1.13 (assume @p874 (forall @t245 (=> @t524 (= (tptp.c_Polynomial_Osmult @t43 @t45 @t893) (tptp.c_Groups_Ominus__class_Ominus @t56 @t229 @t246))))) % 0.60/1.13 (assume @p875 (forall @t774 (=> (tptp.hBOOL (tptp.hAPP @t974 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t131 @t50))) (=> (tptp.hBOOL (tptp.hAPP @t974 @t50)) (tptp.hBOOL (tptp.hAPP @t974 @t131)))))) % 0.60/1.13 (assume @p876 (forall @t130 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus @t56 @t52 @t59) @t52)))) % 0.60/1.13 (assume @p877 (forall @t558 (= @t976 @t975))) % 0.60/1.13 (assume @p878 (forall @t558 (= @t975 @t976))) % 0.60/1.13 (assume @p879 (forall @t350 (=> @t526 (=> @t392 (=> @t391 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t977 @t50)))))) % 0.60/1.13 (assume @p880 (forall @t350 (=> @t526 (=> @t349 (=> @t348 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t977 @t50)))))) % 0.60/1.13 (assume @p881 (forall @t550 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t436 @t549) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t436 @t549) @t545)))) % 0.60/1.13 (assume @p882 (forall @t744 (= (tptp.hAPP @t741 @t978) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t743 @t742)))) % 0.60/1.13 (assume @p883 (forall @t740 (= (tptp.hAPP (tptp.hAPP @t733 @t978) @t555) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t738 @t735)))) % 0.60/1.13 (assume @p884 (forall @t381 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus @t56 @t59 @t94) (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t94))))) % 0.60/1.13 (assume @p885 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t559 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t189 @t560)) @t563))) % 0.60/1.13 (assume @p886 (forall (@list @t45 @t113 @t271 @t94 @t69 @t51 @t43) (=> @t218 (=> @t844 (=> @t983 (=> (= @t113 (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t979) @t981) @t982)) (tptp.c_Polynomial_Opdivmod__rel @t43 @t980 @t69 @t345 (tptp.c_Groups_Ominus__class_Ominus @t56 @t979 (tptp.c_Polynomial_Osmult @t43 @t113 @t69))))))))) % 0.60/1.13 (assume @p887 (forall @t325 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t509 @t529) @t884)))) % 0.60/1.13 (assume @p888 (forall @t117 (=> @t986 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t883 @t111) (tptp.c_Groups_Ominus__class_Ominus @t43 @t985 @t984))))) % 0.60/1.13 (assume @p889 (forall @t859 (=> @t989 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t924 @t855) (tptp.c_Groups_Ominus__class_Ominus @t43 @t988 @t987))))) % 0.60/1.13 (assume @p890 (forall @t325 (=> @t986 (= @t991 (tptp.c_Rings_Oinverse__class_Odivide @t43 @t509 @t113))))) % 0.60/1.13 (assume @p891 (forall @t49 (=> @t986 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t45 @t273) @t45)))) % 0.60/1.13 (assume @p892 (forall @t117 (=> @t986 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t302 @t111) (tptp.c_Groups_Oplus__class_Oplus @t43 @t985 @t984))))) % 0.60/1.13 (assume @p893 (forall @t49 (=> @t994 (and (=> @t90 (= @t992 @t44)) @t993)))) % 0.60/1.13 (assume @p894 (forall @t49 (=> @t986 @t993))) % 0.60/1.13 (assume @p895 (forall @t528 (=> @t986 (=> (not @t626) (= (= @t995 @t273) @t225))))) % 0.60/1.13 (assume @p896 (forall @t255 (=> @t997 @t996))) % 0.60/1.13 (assume @p897 (forall @t49 (=> @t994 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t45 @t44) @t44)))) % 0.60/1.13 (assume @p898 (forall @t49 (=> @t986 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t44 @t45) @t44)))) % 0.60/1.13 (assume @p899 (forall @t93 (=> @t997 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t273 @t89) (tptp.hAPP (tptp.hAPP @t55 (tptp.c_Rings_Oinverse__class_Odivide @t43 @t273 @t45)) @t50))))) % 0.60/1.13 (assume @p900 (forall (@list @t50 @t45 @t113 @t43) (=> @t218 (=> @t630 @t996)))) % 0.60/1.13 (assume @p901 (forall @t324 (=> @t986 (=> @t630 @t998)))) % 0.60/1.13 (assume @p902 (forall @t324 (=> @t986 (=> @t630 @t999)))) % 0.60/1.13 (assume @p903 (forall @t490 (=> @t986 (=> @t1000 (=> (= @t585 @t113) (= @t45 @t984)))))) % 0.60/1.13 (assume @p904 (forall @t500 (=> @t986 (=> @t1000 (=> (= @t113 @t585) (= @t984 @t45)))))) % 0.60/1.13 (assume @p905 (forall @t1005 (=> @t986 (=> @t1004 (= @t1003 @t1001))))) % 0.60/1.13 (assume @p906 (forall @t480 (=> @t986 (=> @t1004 (= @t1007 @t1006))))) % 0.60/1.13 (assume @p907 (forall @t117 (=> @t986 (= (tptp.hAPP @t573 @t984) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t574 @t111))))) % 0.60/1.13 (assume @p908 (forall @t842 (=> @t989 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t44 @t69) @t44)))) % 0.60/1.13 (assume @p909 (forall @t859 (=> @t989 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t858 @t855) (tptp.c_Groups_Oplus__class_Oplus @t43 @t988 @t987))))) % 0.60/1.13 (assume @p910 (forall @t310 (=> @t989 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t552 @t69) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t1008))))) % 0.60/1.13 (assume @p911 (forall (@list @t131 @t50 @t45 @t43) (=> @t218 (=> @t91 (=> @t220 (= (tptp.hAPP @t88 @t885) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t256 @t89))))))) % 0.60/1.13 (assume @p912 (forall @t463 (=> @t1014 (= @t1013 (and (=> @t683 @t1012) (=> @t1011 (and (=> @t681 @t1010) (=> @t1009 @t504)))))))) % 0.60/1.13 (assume @p913 (forall @t1016 (=> @t1014 (= @t1015 (and (=> @t683 @t1010) (=> @t1011 (and (=> @t681 @t1012) (=> @t1009 @t505)))))))) % 0.60/1.13 (assume @p914 (forall (@list @t555 @t173 @t69 @t51 @t43) (=> @t997 (= (tptp.hAPP (tptp.hAPP @t572 @t1008) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t173 @t555)) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t595 (tptp.hAPP @t708 @t555)))))) % 0.60/1.13 (assume @p915 (forall @t325 (=> @t997 @t998))) % 0.60/1.13 (assume @p916 (forall @t325 (=> @t997 @t999))) % 0.60/1.13 (assume @p917 (forall @t117 (=> @t1014 (=> @t253 (=> @t666 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t984 @t985)))))) % 0.60/1.13 (assume @p918 (forall @t117 (=> @t1014 (=> @t253 (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t985 @t984)))))) % 0.60/1.13 (assume @p919 (forall @t522 (=> @t1014 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t995 @t44) @t654)))) % 0.60/1.13 (assume @p920 (forall @t522 (=> @t1014 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t44 @t995) @t652)))) % 0.60/1.13 (assume @p921 (forall @t320 (=> @t1018 (=> @t319 (=> @t669 @t1017))))) % 0.60/1.13 (assume @p922 (forall @t117 (=> @t1018 (=> @t322 (=> @t671 @t1017))))) % 0.60/1.13 (assume @p923 (forall @t310 (=> @t1018 (=> @t1021 (=> @t1020 @t1019))))) % 0.60/1.13 (assume @p924 (forall @t310 (=> @t1018 (=> @t1021 (=> @t1023 @t1022))))) % 0.60/1.13 (assume @p925 (forall @t310 (=> @t1018 (=> @t1024 (=> @t1020 @t1022))))) % 0.60/1.13 (assume @p926 (forall @t310 (=> @t1018 (=> @t1024 (=> @t1023 @t1019))))) % 0.60/1.13 (assume @p927 (forall @t522 (=> @t1014 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t995 @t44) (or (and @t508 @t1026) (and @t506 @t1025)))))) % 0.60/1.13 (assume @p928 (forall @t522 (=> @t1014 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t44 @t995) (or (and @t508 @t1025) (and @t506 @t1026)))))) % 0.60/1.13 (assume @p929 (forall (@list @t559 @t100 @t189 @t144 @t43) (=> @t218 (=> @t710 (=> (not (= @t189 @t44)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t100 @t144) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t559 @t189)) (= @t579 @t580))))))) % 0.60/1.13 (assume @p930 (forall @t490 (=> @t997 (=> @t1000 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t663 @t662) @t990))))) % 0.60/1.13 (assume @p931 (forall @t490 (=> @t997 (=> @t1000 (= (tptp.c_Rings_Oinverse__class_Odivide @t43 @t585 @t584) @t990))))) % 0.60/1.13 (assume @p932 (forall @t1016 (=> @t997 (= @t1003 (and (=> @t1004 @t1001) @t1027))))) % 0.60/1.13 (assume @p933 (forall @t463 (=> @t997 (= @t1007 (and (=> @t1004 @t1006) @t1027))))) % 0.60/1.13 (assume @p934 (forall @t310 (=> @t1018 (=> @t1029 (=> @t1020 @t1028))))) % 0.60/1.13 (assume @p935 (forall @t310 (=> @t1018 (=> @t1029 (=> @t1023 @t1030))))) % 0.60/1.13 (assume @p936 (forall @t1035 (=> @t1018 (=> @t713 (=> @t356 (=> @t1034 (=> @t1033 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t1032 @t1031)))))))) % 0.60/1.13 (assume @p937 (forall @t1035 (=> @t1018 (=> @t713 (=> @t306 (=> @t1034 (=> @t1033 @t1036))))))) % 0.60/1.13 (assume @p938 (forall @t1035 (=> @t1018 (=> @t1024 (=> @t356 (=> @t1034 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t555 @t173) @t1036))))))) % 0.60/1.13 (assume @p939 (forall @t310 (=> @t1018 (=> @t713 (=> @t1020 @t1030))))) % 0.60/1.13 (assume @p940 (forall @t310 (=> @t1018 (=> @t713 (=> @t1023 @t1028))))) % 0.60/1.13 (assume @p941 (forall @t463 (=> @t1014 (= @t1039 (and (=> @t683 @t1038) (=> @t1011 (and (=> @t681 @t1037) (=> @t1009 @t506)))))))) % 0.60/1.13 (assume @p942 (forall @t1016 (=> @t1014 (= @t1040 (and (=> @t683 @t1037) (=> @t1011 (and (=> @t681 @t1038) (=> @t1009 @t508)))))))) % 0.60/1.13 (assume @p943 (forall @t480 (=> @t1018 (=> @t683 (= @t1039 @t1038))))) % 0.60/1.13 (assume @p944 (forall @t1005 (=> @t1018 (=> @t683 (= @t1040 @t1037))))) % 0.60/1.13 (assume @p945 (forall @t314 (=> @t1018 (=> @t1023 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t51 @t1042) (tptp.c_Orderings_Oord__class_Oless @t43 @t1008 @t173)))))) % 0.60/1.13 (assume @p946 (forall @t1043 (=> @t1018 (=> @t1023 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t1042 @t51) (tptp.c_Orderings_Oord__class_Oless @t43 @t173 @t1008)))))) % 0.60/1.13 (assume @p947 (forall @t480 (=> @t1018 (=> @t681 (= @t1039 @t1037))))) % 0.60/1.13 (assume @p948 (forall @t1005 (=> @t1018 (=> @t681 (= @t1040 @t1038))))) % 0.60/1.13 (assume @p949 (forall @t320 (=> @t1018 (=> @t319 (=> @t671 @t1046))))) % 0.60/1.13 (assume @p950 (forall @t117 (=> @t1018 (=> @t322 (=> @t669 @t1046))))) % 0.60/1.13 (assume @p951 (forall @t1043 (=> @t997 (=> @t1049 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t173 @t1008) @t1048))))) % 0.60/1.13 (assume @p952 (forall @t1053 (=> @t218 (=> @t1052 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t51 @t1051) (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Oplus__class_Oplus @t43 @t1050 @t69) @t173)))))) % 0.60/1.13 (assume @p953 (forall @t314 (=> @t997 (=> @t1049 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t1008 @t173) @t1048))))) % 0.60/1.13 (assume @p954 (forall @t1053 (=> @t218 (=> @t1052 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t1032 @t69) (tptp.c_Rings_Oinverse__class_Odivide @t43 @t1047 @t173)))))) % 0.60/1.13 (assume @p955 (forall @t1057 (=> @t218 (=> @t1049 (=> @t1052 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t1008 @t1056) (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Oplus__class_Oplus @t43 @t595 @t1055) @t1054))))))) % 0.60/1.13 (assume @p956 (forall @t1057 (=> @t218 (=> @t1049 (=> @t1052 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t1008 @t1056) (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t595 @t1055) @t1054))))))) % 0.60/1.13 (assume @p957 (forall @t1053 (=> @t218 (=> @t1052 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t1032 @t69) (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t51 @t1042) @t173)))))) % 0.60/1.13 (assume @p958 (forall @t1053 (=> @t218 (=> @t1052 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t51 @t1051) (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t1050 @t69) @t173)))))) % 0.60/1.13 (assume @p959 (forall @t325 (=> @t1018 (=> @t322 (tptp.c_Orderings_Oord__class_Oless @t43 @t45 @t1058))))) % 0.60/1.13 (assume @p960 (forall @t325 (=> @t1018 (=> @t322 (tptp.c_Orderings_Oord__class_Oless @t43 @t1058 @t113))))) % 0.60/1.13 (assume @p961 (forall @t117 (=> @t1014 (=> @t253 (=> @t666 @t1059))))) % 0.60/1.13 (assume @p962 (forall @t320 (=> @t1018 (=> @t359 (=> @t499 @t1059))))) % 0.60/1.13 (assume @p963 (forall @t1005 (=> @t1018 (=> @t681 (= @t1015 @t1012))))) % 0.60/1.13 (assume @p964 (forall @t480 (=> @t1018 (=> @t681 (= @t1013 @t1010))))) % 0.60/1.13 (assume @p965 (forall @t1043 (=> @t1018 (=> @t1023 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t1042 @t51) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t173 @t1008)))))) % 0.60/1.13 (assume @p966 (forall @t314 (=> @t1018 (=> @t1023 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t51 @t1042) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t1008 @t173)))))) % 0.60/1.13 (assume @p967 (forall @t1005 (=> @t1018 (=> @t683 (= @t1015 @t1010))))) % 0.60/1.13 (assume @p968 (forall @t480 (=> @t1018 (=> @t683 (= @t1013 @t1012))))) % 0.60/1.13 (assume @p969 (forall (@list @t276 @t485 @t111 @t113 @t45 @t43) (=> (tptp.class_RealVector_Oreal__field @t43) (= (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t574 (tptp.hAPP @t661 @t485)) @t276) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t573 (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t113 @t485) @t276)) (tptp.hAPP (tptp.hAPP @t572 (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t45 @t111) @t276)) @t485)))))) % 0.60/1.13 (assume @p970 (forall (@list @t51 @t45 @t69 @t43) (=> @t218 (=> @t983 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t980 @t69) (tptp.c_Groups_Ominus__class_Ominus @t56 @t1061 (tptp.c_Polynomial_Osmult @t43 (tptp.c_Rings_Oinverse__class_Odivide @t43 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t43 @t1061) @t981) @t982) @t69))))))) % 0.60/1.13 (assume @p971 (forall @t310 (=> @t218 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t51 (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t69)) @t1060)))) % 0.60/1.13 (assume @p972 (forall @t310 (=> @t218 (= (tptp.c_Divides_Odiv__class_Omod @t56 (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t51) @t69) (tptp.c_Groups_Ouminus__class_Ouminus @t56 @t1060))))) % 0.60/1.13 (assume @p973 (forall @t1062 (=> @t218 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t843 @t69) (tptp.c_Polynomial_Osmult @t43 @t45 @t1060))))) % 0.60/1.13 (assume @p974 (forall @t1062 (=> @t218 (=> @t91 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t51 (tptp.c_Polynomial_Osmult @t43 @t45 @t69)) @t1060))))) % 0.60/1.13 (assume @p975 (forall @t49 (=> @t1063 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t44 @t45) @t44)))) % 0.60/1.13 (assume @p976 (forall @t49 (=> @t1063 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t45 @t44) @t45)))) % 0.60/1.13 (assume @p977 (forall @t49 (=> @t1063 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t45 @t45) @t44)))) % 0.60/1.13 (assume @p978 (forall @t325 (=> @t1063 (=> @t116 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t113 @t45) @t44))))) % 0.60/1.13 (assume @p979 (forall @t522 (=> @t1063 (= @t689 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t187 @t79) @t44))))) % 0.60/1.13 (assume @p980 (forall @t325 (=> @t1063 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t1064 @t113) @t1064)))) % 0.60/1.13 (assume @p981 (forall (@list @t50 @t131 @t123 @t43) (=> @t1063 (=> (tptp.hBOOL (tptp.hAPP @t1065 (tptp.c_Divides_Odiv__class_Omod @t43 @t131 @t50))) (=> (tptp.hBOOL (tptp.hAPP @t1065 @t50)) (tptp.hBOOL (tptp.hAPP @t1065 @t131))))))) % 0.60/1.13 (assume @p982 (forall @t1069 (=> @t1068 (tptp.class_Groups_Ocancel__comm__monoid__add @t1067)))) % 0.60/1.13 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p986 (forall @t1072 (=> (tptp.class_Lattices_Oboolean__algebra @t1066) (tptp.class_Lattices_Oboolean__algebra @t1071)))) % 0.60/1.13 (assume @p987 (forall @t1072 (=> (tptp.class_Orderings_Opreorder @t1066) (tptp.class_Orderings_Opreorder @t1071)))) % 0.60/1.13 (assume @p988 (forall @t1072 (=> (tptp.class_Orderings_Oorder @t1066) (tptp.class_Orderings_Oorder @t1071)))) % 0.60/1.13 (assume @p989 (forall @t1072 (=> (tptp.class_Orderings_Oord @t1066) (tptp.class_Orderings_Oord @t1071)))) % 0.60/1.13 (assume @p990 (forall @t1072 (=> (tptp.class_Groups_Ouminus @t1066) (tptp.class_Groups_Ouminus @t1071)))) % 0.60/1.13 (assume @p991 (forall @t1072 (=> (tptp.class_Groups_Ominus @t1066) (tptp.class_Groups_Ominus @t1071)))) % 0.60/1.13 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p999 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1000 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1001 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1002 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1003 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1004 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1005 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1008 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1009 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1010 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1011 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1012 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1014 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1015 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1022 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1023 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1024 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1025 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1026 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1027 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1028 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1029 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1030 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1031 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1032 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1033 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1034 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1035 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1036 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1037 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1038 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1039 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1040 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1041 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1042 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1043 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1044 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1045 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1046 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1047 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1048 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 0.60/1.13 (assume @p1049 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1050 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1051 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1052 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1053 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1054 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1055 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1056 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1057 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1058 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1059 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1060 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1061 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1062 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1063 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1064 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1065 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1066 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1068 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1069 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1070 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1071 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1072 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1073 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1074 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1075 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1076 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1077 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1078 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1079 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1080 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1081 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1082 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1083 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1084 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1085 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1086 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 0.60/1.13 (assume @p1087 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 0.60/1.13 (assume @p1088 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.60/1.13 (assume @p1089 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.60/1.13 (assume @p1090 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.60/1.13 (assume @p1091 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 0.60/1.13 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.60/1.13 (assume @p1093 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1094 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1095 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1096 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1097 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1098 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1099 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1100 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1101 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1102 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1103 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1104 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1105 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1106 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1107 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1108 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1109 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1110 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1111 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1112 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1113 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1114 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1115 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1116 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1117 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1118 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1119 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1120 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1121 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1122 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1123 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1124 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1125 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1126 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1127 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1128 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1129 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1130 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1131 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1132 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 0.60/1.13 (assume @p1133 (forall @t1069 (=> @t1073 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1067)))) % 0.60/1.13 (assume @p1134 (forall @t1069 (=> @t1074 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1067)))) % 0.60/1.13 (assume @p1135 (forall @t1069 (=> @t1074 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1067)))) % 0.60/1.13 (assume @p1136 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1067)))) % 0.60/1.13 (assume @p1137 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__semiring__1__strict @t1067)))) % 0.60/1.13 (assume @p1138 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__semiring__strict @t1067)))) % 0.60/1.13 (assume @p1139 (forall @t1069 (=> @t1074 (tptp.class_Groups_Oordered__ab__semigroup__add @t1067)))) % 0.60/1.13 (assume @p1140 (forall @t1069 (=> @t1074 (tptp.class_Groups_Oordered__comm__monoid__add @t1067)))) % 0.60/1.13 (assume @p1141 (forall @t1069 (=> @t1074 (tptp.class_Groups_Olinordered__ab__group__add @t1067)))) % 0.60/1.13 (assume @p1142 (forall @t1069 (=> @t1068 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1067)))) % 0.60/1.13 (assume @p1143 (forall @t1069 (=> @t1073 (tptp.class_Rings_Oring__1__no__zero__divisors @t1067)))) % 0.60/1.13 (assume @p1144 (forall @t1069 (=> @t1074 (tptp.class_Rings_Oordered__cancel__semiring @t1067)))) % 0.60/1.13 (assume @p1145 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__ring__strict @t1067)))) % 0.60/1.13 (assume @p1146 (forall @t1069 (=> @t1073 (tptp.class_Rings_Oring__no__zero__divisors @t1067)))) % 0.60/1.13 (assume @p1147 (forall @t1069 (=> @t1074 (tptp.class_Rings_Oordered__comm__semiring @t1067)))) % 0.60/1.13 (assume @p1148 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__semiring__1 @t1067)))) % 0.60/1.13 (assume @p1149 (forall @t1069 (=> @t1074 (tptp.class_Groups_Oordered__ab__group__add @t1067)))) % 0.60/1.13 (assume @p1150 (forall @t1069 (=> @t1068 (tptp.class_Groups_Ocancel__semigroup__add @t1067)))) % 0.60/1.13 (assume @p1151 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__semiring @t1067)))) % 0.60/1.13 (assume @p1152 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__semidom @t1067)))) % 0.60/1.13 (assume @p1153 (forall @t1069 (=> @t1075 (tptp.class_Groups_Oab__semigroup__mult @t1067)))) % 0.60/1.13 (assume @p1154 (forall @t1069 (=> @t1076 (tptp.class_Groups_Ocomm__monoid__mult @t1067)))) % 0.60/1.13 (assume @p1155 (forall @t1069 (=> @t1077 (tptp.class_Groups_Oab__semigroup__add @t1067)))) % 0.60/1.13 (assume @p1156 (forall @t1069 (=> @t1074 (tptp.class_Rings_Oordered__semiring @t1067)))) % 0.60/1.13 (assume @p1157 (forall @t1069 (=> @t1073 (tptp.class_Rings_Ono__zero__divisors @t1067)))) % 0.60/1.13 (assume @p1158 (forall @t1069 (=> @t1077 (tptp.class_Groups_Ocomm__monoid__add @t1067)))) % 0.60/1.13 (assume @p1159 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__ring @t1067)))) % 0.60/1.13 (assume @p1160 (forall @t1069 (=> @t1074 (tptp.class_Rings_Olinordered__idom @t1067)))) % 0.60/1.13 (assume @p1161 (forall @t1069 (=> @t1076 (tptp.class_Rings_Ocomm__semiring__1 @t1067)))) % 0.60/1.13 (assume @p1162 (forall @t1069 (=> @t1075 (tptp.class_Rings_Ocomm__semiring__0 @t1067)))) % 0.60/1.13 (assume @p1163 (forall @t1069 (=> (tptp.class_Fields_Ofield @t1066) (tptp.class_Divides_Osemiring__div @t1067)))) % 0.60/1.13 (assume @p1164 (forall @t1069 (=> @t1075 (tptp.class_Rings_Ocomm__semiring @t1067)))) % 0.60/1.13 (assume @p1165 (forall @t1069 (=> @t1078 (tptp.class_Groups_Oab__group__add @t1067)))) % 0.60/1.13 (assume @p1166 (forall @t1069 (=> @t1076 (tptp.class_Rings_Ozero__neq__one @t1067)))) % 0.60/1.13 (assume @p1167 (forall @t1069 (=> @t1074 (tptp.class_Rings_Oordered__ring @t1067)))) % 0.60/1.13 (assume @p1168 (forall @t1069 (=> @t1074 (tptp.class_Orderings_Opreorder @t1067)))) % 0.60/1.13 (assume @p1169 (forall @t1069 (=> @t1074 (tptp.class_Orderings_Olinorder @t1067)))) % 0.60/1.13 (assume @p1170 (forall @t1069 (=> @t1076 (tptp.class_Groups_Omonoid__mult @t1067)))) % 0.60/1.13 (assume @p1171 (forall @t1069 (=> @t1079 (tptp.class_Rings_Ocomm__ring__1 @t1067)))) % 0.60/1.13 (assume @p1172 (forall @t1069 (=> @t1077 (tptp.class_Groups_Omonoid__add @t1067)))) % 0.60/1.13 (assume @p1173 (forall @t1069 (=> @t1075 (tptp.class_Rings_Osemiring__0 @t1067)))) % 0.60/1.13 (assume @p1174 (forall @t1069 (=> @t1078 (tptp.class_Groups_Ogroup__add @t1067)))) % 0.60/1.13 (assume @p1175 (forall @t1069 (=> @t1075 (tptp.class_Rings_Omult__zero @t1067)))) % 0.60/1.13 (assume @p1176 (forall @t1069 (=> @t1080 (tptp.class_Rings_Ocomm__ring @t1067)))) % 0.60/1.13 (assume @p1177 (forall @t1069 (=> @t1074 (tptp.class_Orderings_Oorder @t1067)))) % 0.60/1.13 (assume @p1178 (forall @t1069 (=> @t1074 (tptp.class_Int_Oring__char__0 @t1067)))) % 0.60/1.13 (assume @p1179 (forall @t1069 (=> @t1075 (tptp.class_Rings_Osemiring @t1067)))) % 0.60/1.13 (assume @p1180 (forall @t1069 (=> @t1074 (tptp.class_Orderings_Oord @t1067)))) % 0.60/1.13 (assume @p1181 (forall @t1069 (=> @t1078 (tptp.class_Groups_Ouminus @t1067)))) % 0.60/1.13 (assume @p1182 (forall @t1069 (=> @t1079 (tptp.class_Rings_Oring__1 @t1067)))) % 0.60/1.13 (assume @p1183 (forall @t1069 (=> @t1078 (tptp.class_Groups_Ominus @t1067)))) % 0.60/1.13 (assume @p1184 (forall @t1069 (=> @t1076 (tptp.class_Power_Opower @t1067)))) % 0.60/1.13 (assume @p1185 (forall @t1069 (=> (tptp.class_Groups_Ozero @t1066) (tptp.class_Groups_Ozero @t1067)))) % 0.60/1.13 (assume @p1186 (forall @t1069 (=> @t1080 (tptp.class_Rings_Oring @t1067)))) % 0.60/1.13 (assume @p1187 (forall @t1069 (=> @t1073 (tptp.class_Rings_Oidom @t1067)))) % 0.60/1.13 (assume @p1188 (forall @t1069 (=> @t1076 (tptp.class_Groups_Oone @t1067)))) % 0.60/1.13 (assume @p1189 (forall @t1069 (=> @t1076 (tptp.class_Rings_Odvd @t1067)))) % 0.60/1.13 (assume @p1190 (forall @t148 (or (not @t1081) @t147))) % 0.60/1.13 (assume @p1191 (forall @t148 (or @t150 @t1081))) % 0.60/1.13 (assume @p1192 @t1082) % 0.60/1.13 (assume @p1193 true) % 0.60/1.13 (step @p1194 :rule alpha_equiv :args (@t1085 (@list @t3) (@list @t33))) % 0.60/1.13 (step @p1195 :rule equiv_elim2 :premises (@p1194)) % 0.60/1.13 (step @p1196 :rule eq-symm :args (tptp.v_q @t8)) % 0.60/1.13 (step @p1197 :rule refl :args (@t9)) % 0.60/1.13 (step @p1198 :rule nary_cong :premises (@p1197 @p1196) :args (@t16)) % 0.60/1.13 (step @p1199 :rule refl :args (@t23)) % 0.60/1.13 (step @p1200 :rule nary_cong :premises (@p1199 @p1198) :args (@t24)) % 0.60/1.13 (step @p1201 :rule bool-impl-elim :args (@t1084 @t1083)) % 0.60/1.13 (step @p1202 :rule cong :premises (@p1201) :args ((forall @t6 (=> @t1084 @t1083)))) % 0.60/1.13 (step @p1203 :rule eq-symm :args (@t27 @t25)) % 0.60/1.13 (step @p1204 :rule eq-symm :args (@t29 @t25)) % 0.60/1.13 (step @p1205 :rule cong :premises (@p1204 @p1203) :args (@t30)) % 0.60/1.13 (step @p1206 :rule cong :premises (@p1205) :args (@t31)) % 0.60/1.13 (step @p1207 :rule trans :premises (@p1206 @p1202)) % 0.60/1.13 (step @p1208 :rule cong :premises (@p1207 @p1200) :args (@t32)) % 0.60/1.13 (step @p1209 :rule cong :premises (@p1208) :args (@t1082)) % 0.60/1.13 (step @p1210 :rule eq_resolve :premises (@p1192 @p1209)) % 0.60/1.13 (step @p1211 :rule not_equiv_elim1 :premises (@p1210)) % 0.60/1.13 (step @p1212 :rule quant-miniscope-or :args ((= (forall @t39 @t1092) (or @t1091 @t1090)))) % 0.60/1.13 (step @p1213 :rule aci_norm :args ((= @t1093 @t1092))) % 0.60/1.13 (step @p1214 :rule cong :premises (@p1213) :args ((forall @t39 @t1093))) % 0.60/1.13 (step @p1215 :rule trans :premises (@p1214 @p1212)) % 0.60/1.13 (step @p1216 :rule aci_norm :args ((= @t1092 @t1093))) % 0.60/1.13 (step @p1217 :rule bool-impl-elim :args (@t1087 @t1086)) % 0.60/1.13 (step @p1218 :rule refl :args (@t1091)) % 0.60/1.13 (step @p1219 :rule nary_cong :premises (@p1218 @p1217) :args ((or @t1091 @t1094))) % 0.60/1.13 (step @p1220 :rule trans :premises (@p1219 @p1216)) % 0.60/1.13 (step @p1221 :rule bool-impl-elim :args (@t37 @t1094)) % 0.60/1.13 (step @p1222 :rule trans :premises (@p1221 @p1220)) % 0.60/1.13 (step @p1223 :rule cong :premises (@p1222) :args ((forall @t39 (=> @t37 @t1094)))) % 0.60/1.13 (step @p1224 :rule trans :premises (@p1223 @p1215)) % 0.60/1.13 (step @p1225 :rule eq-symm :args (@t34 @t25)) % 0.60/1.13 (step @p1226 :rule eq-symm :args (@t35 @t25)) % 0.60/1.13 (step @p1227 :rule cong :premises (@p1226 @p1225) :args (@t36)) % 0.60/1.13 (step @p1228 :rule refl :args (@t37)) % 0.60/1.13 (step @p1229 :rule cong :premises (@p1228 @p1227) :args (@t38)) % 0.60/1.13 (step @p1230 :rule cong :premises (@p1229) :args (@t40)) % 0.60/1.13 (step @p1231 :rule trans :premises (@p1230 @p1224)) % 0.60/1.13 (step @p1232 :rule eq_resolve :premises (@p6 @p1231)) % 0.60/1.13 (step @p1233 :rule cnf_and_pos :args (@t1095 0)) % 0.60/1.13 (step @p1234 :rule reordering :premises (@p1233) :args ((or @t9 @t1096))) % 0.60/1.13 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p2) :args (@t1096 (@list true) (@list @t9))) % 0.60/1.13 (step @p1236 :rule cnf_or_pos :args (@t1097)) % 0.60/1.13 (step @p1237 :rule reordering :premises (@p1236) :args ((or @t23 @t1095 @t1098))) % 0.60/1.13 (step @p1238 :rule refl :args (@t1099)) % 0.60/1.13 (step @p1239 :rule bool-double-not-elim :args (@t37)) % 0.60/1.13 (step @p1240 :rule refl :args (@t1100)) % 0.60/1.13 (step @p1241 :rule nary_cong :premises (@p1240 @p1239 @p1238) :args ((or @t1100 (not @t1091) @t1099))) % 0.60/1.13 (assume-push @p1285 @t15) % 0.60/1.13 (assume-push @p1286 @t1091) % 0.60/1.13 (assume-push @p1287 @t1091) % 0.60/1.13 (assume-push @p1288 @t15) % 0.60/1.13 (step @p1246 :rule false_intro :premises (@p1286)) % 0.60/1.13 (step @p1247 :rule refl :args (@t18)) % 0.60/1.13 (step @p1248 :rule cong :premises (@p1247 @p4) :args (@t19)) % 0.60/1.13 (step @p1249 :rule refl :args (@t21)) % 0.60/1.13 (step @p1250 :rule cong :premises (@p1249 @p1248) :args (@t22)) % 0.60/1.13 (step @p1251 :rule cong :premises (@p1250) :args (@t23)) % 0.60/1.13 (step @p1252 :rule trans :premises (@p1251 @p1246)) % 0.60/1.13 (step @p1253 :rule false_elim :premises (@p1252)) % 0.60/1.13 (step-pop @p1289 :rule scope :premises (@p1253)) % 0.60/1.13 (step-pop @p1290 :rule scope :premises (@p1289)) % 0.60/1.13 (step @p1254 :rule process_scope :premises (@p1290) :args (@t1099)) % 0.60/1.13 (step @p1257 :rule and_intro :premises (@p1286 @p4)) % 0.60/1.13 (step @p1258 :rule modus_ponens :premises (@p1257 @p1254)) % 0.60/1.13 (step-pop @p1291 :rule scope :premises (@p1258)) % 0.60/1.13 (step-pop @p1292 :rule scope :premises (@p1291)) % 0.60/1.13 (step @p1259 :rule process_scope :premises (@p1292) :args (@t1099)) % 0.60/1.13 (step @p1262 :rule implies_elim :premises (@p1259)) % 0.60/1.13 (step @p1263 :rule cnf_and_neg :args (@t1101)) % 0.60/1.13 (step @p1264 :rule resolution :premises (@p1263 @p1262) :args (true @t1101)) % 0.60/1.13 (step @p1265 :rule eq_resolve :premises (@p1264 @p1241)) % 0.60/1.13 (step @p1266 :rule reordering :premises (@p1265) :args ((or @t37 @t1100 @t1099))) % 0.60/1.13 (step @p1267 :rule chain_m_resolution :premises (@p1266 @p4 @p1237 @p1235 @p1232 @p1211 @p1195) :args (@t1085 (@list false false true true false true) (@list @t15 @t23 @t1095 @t37 @t1097 @t1090))) % 0.60/1.13 (step @p1268 :rule not_equiv_elim2 :premises (@p1210)) % 0.60/1.13 (step @p1269 :rule chain_m_resolution :premises (@p1268 @p1267) :args (@t1098 @t1102 @t1103)) % 0.60/1.13 (step @p1270 :rule refl :args (@t41)) % 0.60/1.13 (step @p1271 :rule cong :premises (@p1207 @p1270) :args (@t42)) % 0.60/1.13 (step @p1272 :rule eq_resolve :premises (@p7 @p1271)) % 0.60/1.13 (step @p1273 :rule implies_elim :premises (@p1272)) % 0.60/1.13 (step @p1274 :rule reordering :premises (@p1273) :args ((or @t41 (not @t1085)))) % 0.60/1.13 (step @p1275 :rule chain_m_resolution :premises (@p1274 @p1267) :args (@t41 @t1102 @t1103)) % 0.60/1.13 (step @p1276 :rule bool-double-not-elim :args (@t12)) % 0.60/1.13 (step @p1277 :rule refl :args (@t1104)) % 0.60/1.13 (step @p1278 :rule nary_cong :premises (@p1277 @p1276 @p1199) :args ((or @t1104 (not @t13) @t23))) % 0.60/1.13 (step @p1279 :rule cnf_implies_pos :args (@t41)) % 0.60/1.13 (step @p1280 :rule eq_resolve :premises (@p1279 @p1278)) % 0.60/1.13 (step @p1281 :rule reordering :premises (@p1280) :args ((or @t12 @t23 @t1104))) % 0.60/1.13 (step @p1282 :rule chain_m_resolution :premises (@p1281 @p3 @p1275) :args (@t23 (@list true false) (@list @t12 @t41))) % 0.60/1.13 (step @p1283 :rule cnf_or_neg :args (@t1097 0)) % 0.60/1.13 (step @p1284 false :rule chain_m_resolution :premises (@p1283 @p1282 @p1269) :args (false (@list false true) (@list @t23 @t1097))) % 0.60/1.13 ) % 0.60/1.13 % SZS output end Proof % 0.60/1.13 % cvc5 exiting %------------------------------------------------------------------------------