%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW215+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:31 AM UTC 2026 % Result : Theorem 1.12s 1.35s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW215+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 21:39:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.45/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.35 % SZS status Theorem % 1.12/1.35 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort $$unsorted 0) % 1.12/1.35 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.12/1.35 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.12/1.35 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.12/1.35 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_q____ $$unsorted) % 1.12/1.35 (declare-const tptp.v_cs____ $$unsorted) % 1.12/1.35 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.12/1.35 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_p $$unsorted) % 1.12/1.35 (declare-const tptp.c_RealDef_Opositive (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_da____ $$unsorted) % 1.12/1.35 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_e $$unsorted) % 1.12/1.35 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_d____ $$unsorted) % 1.12/1.35 (declare-const tptp.v_w____ $$unsorted) % 1.12/1.35 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_z $$unsorted) % 1.12/1.35 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Odense__linorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.12/1.35 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_m____ $$unsorted) % 1.12/1.35 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.12/1.35 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.12/1.35 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.12/1.35 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.12/1.35 (define @t3 () (@var "B_x" $$unsorted)) % 1.12/1.35 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.12/1.35 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.12/1.35 (define @t6 () (@list @t3)) % 1.12/1.35 (define @t7 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.35 (define @t8 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_da____ @t7)) % 1.12/1.35 (define @t9 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_w____ tptp.v_z))) % 1.12/1.35 (define @t10 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 tptp.v_da____)) % 1.12/1.35 (define @t11 () (@var "T_a" $$unsorted)) % 1.12/1.35 (define @t12 () (tptp.c_Groups_Oone__class_Oone @t11)) % 1.12/1.35 (define @t13 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t11)) % 1.12/1.35 (define @t14 () (@list @t11)) % 1.12/1.35 (define @t15 () (@var "V_b" $$unsorted)) % 1.12/1.35 (define @t16 () (@var "V_a" $$unsorted)) % 1.12/1.35 (define @t17 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t16 @t15)) % 1.12/1.35 (define @t18 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t17)) % 1.12/1.35 (define @t19 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t15)) % 1.12/1.35 (define @t20 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t16)) % 1.12/1.35 (define @t21 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t20 @t19)) % 1.12/1.35 (define @t22 () (tptp.class_RealVector_Oreal__normed__vector @t11)) % 1.12/1.35 (define @t23 () (@list @t15 @t16 @t11)) % 1.12/1.35 (define @t24 () (@var "V_x" $$unsorted)) % 1.12/1.35 (define @t25 () (tptp.class_Orderings_Opreorder @t11)) % 1.12/1.35 (define @t26 () (@list @t24 @t11)) % 1.12/1.35 (define @t27 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t15 @t16)) % 1.12/1.35 (define @t28 () (@var "V_db_2" $$unsorted)) % 1.12/1.35 (define @t29 () (@var "V_ca_2" $$unsorted)) % 1.12/1.35 (define @t30 () (@var "V_b_2" $$unsorted)) % 1.12/1.35 (define @t31 () (@var "V_a_2" $$unsorted)) % 1.12/1.35 (define @t32 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t31 @t30)) % 1.12/1.35 (define @t33 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t31 @t30)) % 1.12/1.35 (define @t34 () (= @t33 (tptp.c_Groups_Ominus__class_Ominus @t11 @t29 @t28))) % 1.12/1.35 (define @t35 () (tptp.class_Groups_Oordered__ab__group__add @t11)) % 1.12/1.35 (define @t36 () (@list @t28 @t29 @t30 @t31 @t11)) % 1.12/1.35 (define @t37 () (@var "V_w" $$unsorted)) % 1.12/1.35 (define @t38 () (@var "V_z" $$unsorted)) % 1.12/1.35 (define @t39 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t38)) % 1.12/1.35 (define @t40 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t37)) % 1.12/1.35 (define @t41 () (@list @t37 @t38)) % 1.12/1.35 (define @t42 () (@var "V_k" $$unsorted)) % 1.12/1.35 (define @t43 () (@var "V_i" $$unsorted)) % 1.12/1.35 (define @t44 () (@var "V_j" $$unsorted)) % 1.12/1.35 (define @t45 () (@list @t42 @t44 @t43)) % 1.12/1.35 (define @t46 () (@var "V_x_2" $$unsorted)) % 1.12/1.35 (define @t47 () (@list @t46 @t11)) % 1.12/1.35 (define @t48 () (@var "V_B_2" $$unsorted)) % 1.12/1.35 (define @t49 () (@var "V_A_2" $$unsorted)) % 1.12/1.35 (define @t50 () (@var "T_b" $$unsorted)) % 1.12/1.35 (define @t51 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.35 (define @t52 () (@var "V_y_2" $$unsorted)) % 1.12/1.35 (define @t53 () (tptp.c_Orderings_Oord__class_Oless @t11 @t52 @t46)) % 1.12/1.35 (define @t54 () (tptp.c_Orderings_Oord__class_Oless @t11 @t46 @t52)) % 1.12/1.35 (define @t55 () (= @t46 @t52)) % 1.12/1.35 (define @t56 () (not @t55)) % 1.12/1.35 (define @t57 () (tptp.class_Orderings_Olinorder @t11)) % 1.12/1.35 (define @t58 () (@list @t52 @t46 @t11)) % 1.12/1.35 (define @t59 () (not @t54)) % 1.12/1.35 (define @t60 () (@var "V_y" $$unsorted)) % 1.12/1.35 (define @t61 () (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t24)) % 1.12/1.35 (define @t62 () (= @t24 @t60)) % 1.12/1.35 (define @t63 () (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t60)) % 1.12/1.35 (define @t64 () (@list @t60 @t24 @t11)) % 1.12/1.35 (define @t65 () (= @t59 @t55)) % 1.12/1.35 (define @t66 () (@list @t46 @t52 @t11)) % 1.12/1.35 (define @t67 () (not @t63)) % 1.12/1.35 (define @t68 () (not @t62)) % 1.12/1.35 (define @t69 () (=> @t68 (=> @t67 @t61))) % 1.12/1.35 (define @t70 () (tptp.class_Orderings_Oorder @t11)) % 1.12/1.35 (define @t71 () (not (= @t60 @t24))) % 1.12/1.35 (define @t72 () (tptp.c_Orderings_Oord__class_Oless @t11 @t15 @t16)) % 1.12/1.35 (define @t73 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t15)) % 1.12/1.35 (define @t74 () (@list @t16 @t15 @t11)) % 1.12/1.35 (define @t75 () (@var "V_c" $$unsorted)) % 1.12/1.35 (define @t76 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t75)) % 1.12/1.35 (define @t77 () (tptp.c_Orderings_Oord__class_Oless @t11 @t15 @t75)) % 1.12/1.35 (define @t78 () (= @t16 @t15)) % 1.12/1.35 (define @t79 () (tptp.class_Orderings_Oord @t11)) % 1.12/1.35 (define @t80 () (@list @t75 @t15 @t16 @t11)) % 1.12/1.35 (define @t81 () (tptp.c_Orderings_Oord__class_Oless @t11 @t75 @t16)) % 1.12/1.35 (define @t82 () (= @t15 @t75)) % 1.12/1.35 (define @t83 () (@list @t75 @t16 @t15 @t11)) % 1.12/1.35 (define @t84 () (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t38)) % 1.12/1.35 (define @t85 () (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t38)) % 1.12/1.35 (define @t86 () (=> @t85 @t84)) % 1.12/1.35 (define @t87 () (=> @t63 @t86)) % 1.12/1.35 (define @t88 () (@list @t38 @t60 @t24 @t11)) % 1.12/1.35 (define @t89 () (forall @t88 (=> @t25 @t87))) % 1.12/1.35 (define @t90 () (tptp.c_Orderings_Oord__class_Oless @t11 @t38 @t24)) % 1.12/1.35 (define @t91 () (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t38 @t60) @t90)) % 1.12/1.35 (define @t92 () (@list @t38 @t24 @t60 @t11)) % 1.12/1.35 (define @t93 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t24)) % 1.12/1.35 (define @t94 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t60)) % 1.12/1.35 (define @t95 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t38 @t60)) % 1.12/1.35 (define @t96 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t38)) % 1.12/1.35 (define @t97 () (not @t78)) % 1.12/1.35 (define @t98 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t15 @t16)) % 1.12/1.35 (define @t99 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t15)) % 1.12/1.35 (define @t100 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t46 @t52)) % 1.12/1.35 (define @t101 () (=> @t63 @t94)) % 1.12/1.35 (define @t102 () (forall @t64 (=> @t25 @t101))) % 1.12/1.35 (define @t103 () (@list @t24 @t60 @t11)) % 1.12/1.35 (define @t104 () (= @t100 @t55)) % 1.12/1.35 (define @t105 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t52 @t46)) % 1.12/1.35 (define @t106 () (tptp.c_Orderings_Oord__class_Oless @t11 @t31 @t30)) % 1.12/1.35 (define @t107 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t46 @t52)) % 1.12/1.35 (define @t108 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t52)) % 1.12/1.35 (define @t109 () (@list @t52 @t46)) % 1.12/1.35 (define @t110 () (tptp.tc_fun @t11 @t50)) % 1.12/1.35 (define @t111 () (tptp.c_Orderings_Oord__class_Oless__eq @t110 @t2 @t1)) % 1.12/1.35 (define @t112 () (tptp.class_Orderings_Oord @t50)) % 1.12/1.35 (define @t113 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t75 @t16)) % 1.12/1.35 (define @t114 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t75)) % 1.12/1.35 (define @t115 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t15 @t75)) % 1.12/1.35 (define @t116 () (@list @t1 @t2 @t11 @t50)) % 1.12/1.35 (define @t117 () (= @t29 @t28)) % 1.12/1.35 (define @t118 () (= @t31 @t30)) % 1.12/1.35 (define @t119 () (tptp.class_Groups_Oab__group__add @t11)) % 1.12/1.35 (define @t120 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal tptp.v_e tptp.v_m____)) % 1.12/1.35 (define @t121 () (tptp.class_Rings_Olinordered__idom @t11)) % 1.12/1.35 (define @t122 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t15)) % 1.12/1.35 (define @t123 () (tptp.class_Orderings_Odense__linorder @t11)) % 1.12/1.35 (define @t124 () (@var "B_w" $$unsorted)) % 1.12/1.35 (define @t125 () (@list @t124)) % 1.12/1.35 (define @t126 () (tptp.hAPP @t2 @t31)) % 1.12/1.35 (define @t127 () (tptp.c_Orderings_Oord__class_Oless @t50 @t29 @t126)) % 1.12/1.35 (define @t128 () (@var "B_y" $$unsorted)) % 1.12/1.35 (define @t129 () (tptp.hAPP @t2 @t128)) % 1.12/1.35 (define @t130 () (@list @t3 @t128)) % 1.12/1.35 (define @t131 () (tptp.hAPP @t2 @t30)) % 1.12/1.35 (define @t132 () (tptp.c_Orderings_Oord__class_Oless @t11 @t30 @t31)) % 1.12/1.35 (define @t133 () (and (tptp.class_Orderings_Oorder @t50) @t70)) % 1.12/1.35 (define @t134 () (@list @t2 @t29 @t31 @t30 @t11 @t50)) % 1.12/1.35 (define @t135 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t30 @t31)) % 1.12/1.35 (define @t136 () (tptp.c_Groups_Ozero__class_Ozero @t11)) % 1.12/1.35 (define @t137 () (tptp.class_Groups_Oordered__ab__group__add__abs @t11)) % 1.12/1.35 (define @t138 () (@var "V_r" $$unsorted)) % 1.12/1.35 (define @t139 () (@list @t138)) % 1.12/1.35 (define @t140 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t16)) % 1.12/1.35 (define @t141 () (@list @t16 @t11)) % 1.12/1.35 (define @t142 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t15)) % 1.12/1.35 (define @t143 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t140 @t142)) % 1.12/1.35 (define @t144 () (tptp.class_RealVector_Oreal__normed__field @t11)) % 1.12/1.35 (define @t145 () (@list @t60 @t11)) % 1.12/1.35 (define @t146 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t136 @t16) @t16)) % 1.12/1.35 (define @t147 () (tptp.class_Groups_Omonoid__add @t11)) % 1.12/1.35 (define @t148 () (tptp.class_Groups_Ocomm__monoid__add @t11)) % 1.12/1.35 (define @t149 () (= @t46 @t136)) % 1.12/1.35 (define @t150 () (tptp.class_Groups_Ozero @t11)) % 1.12/1.35 (define @t151 () (= @t31 @t136)) % 1.12/1.35 (define @t152 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t31 @t31)) % 1.12/1.35 (define @t153 () (tptp.class_Groups_Olinordered__ab__group__add @t11)) % 1.12/1.35 (define @t154 () (@list @t31 @t11)) % 1.12/1.35 (define @t155 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t136) @t16)) % 1.12/1.35 (define @t156 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t16)) % 1.12/1.35 (define @t157 () (= @t16 @t136)) % 1.12/1.35 (define @t158 () (not @t157)) % 1.12/1.35 (define @t159 () (=> @t158 (= @t156 @t12))) % 1.12/1.35 (define @t160 () (tptp.class_Rings_Odivision__ring__inverse__zero @t11)) % 1.12/1.35 (define @t161 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t31)) % 1.12/1.35 (define @t162 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 @t75)) % 1.12/1.35 (define @t163 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t122 @t75)) % 1.12/1.35 (define @t164 () (= @t163 (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t162))) % 1.12/1.35 (define @t165 () (@var "V_ya" $$unsorted)) % 1.12/1.35 (define @t166 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t60 @t165)) % 1.12/1.35 (define @t167 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t24 @t165)) % 1.12/1.35 (define @t168 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t60)) % 1.12/1.35 (define @t169 () (@list @t165 @t60 @t24 @t11)) % 1.12/1.35 (define @t170 () (= @t30 @t29)) % 1.12/1.35 (define @t171 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t31 @t29)) % 1.12/1.35 (define @t172 () (tptp.class_Groups_Ocancel__semigroup__add @t11)) % 1.12/1.35 (define @t173 () (@list @t29 @t30 @t31 @t11)) % 1.12/1.35 (define @t174 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t29 @t31)) % 1.12/1.35 (define @t175 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t30 @t31)) % 1.12/1.35 (define @t176 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t60)) % 1.12/1.35 (define @t177 () (tptp.c_RealDef_Opositive @t60)) % 1.12/1.35 (define @t178 () (tptp.c_RealDef_Opositive @t24)) % 1.12/1.35 (define @t179 () (@list @t60 @t24)) % 1.12/1.35 (define @t180 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t15)) % 1.12/1.35 (define @t181 () (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t180) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t20 @t19))) % 1.12/1.35 (define @t182 () (= @t15 @t136)) % 1.12/1.35 (define @t183 () (not @t182)) % 1.12/1.35 (define @t184 () (tptp.class_Rings_Odivision__ring @t11)) % 1.12/1.35 (define @t185 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t31 @t30)) % 1.12/1.35 (define @t186 () (= @t30 @t136)) % 1.12/1.35 (define @t187 () (@list @t31 @t30 @t11)) % 1.12/1.35 (define @t188 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t75)) % 1.12/1.35 (define @t189 () (tptp.c_Orderings_Oord__class_Oless @t11 @t15 @t188)) % 1.12/1.35 (define @t190 () (=> @t77 @t189)) % 1.12/1.35 (define @t191 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t16)) % 1.12/1.35 (define @t192 () (tptp.class_Rings_Olinordered__semidom @t11)) % 1.12/1.35 (define @t193 () (=> (= @t122 @t188) @t82)) % 1.12/1.35 (define @t194 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t75 @t16)) % 1.12/1.35 (define @t195 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 @t16)) % 1.12/1.35 (define @t196 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t15 @t75)) % 1.12/1.35 (define @t197 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t75)) % 1.12/1.35 (define @t198 () (= @t140 @t16)) % 1.12/1.35 (define @t199 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t16)) % 1.12/1.35 (define @t200 () (not @t151)) % 1.12/1.35 (define @t201 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t15 @t136)) % 1.12/1.35 (define @t202 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t136)) % 1.12/1.35 (define @t203 () (tptp.class_Groups_Oordered__comm__monoid__add @t11)) % 1.12/1.35 (define @t204 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t15 @t188)) % 1.12/1.35 (define @t205 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t75)) % 1.12/1.35 (define @t206 () (@list @t16 @t15 @t75 @t11)) % 1.12/1.35 (define @t207 () (= @t52 @t136)) % 1.12/1.35 (define @t208 () (and @t149 @t207)) % 1.12/1.35 (define @t209 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t15)) % 1.12/1.35 (define @t210 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t31 @t136)) % 1.12/1.35 (define @t211 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t31)) % 1.12/1.35 (define @t212 () (tptp.class_Fields_Ofield__inverse__zero @t11)) % 1.12/1.35 (define @t213 () (tptp.c_Orderings_Oord__class_Oless @t11 @t122 @t136)) % 1.12/1.35 (define @t214 () (tptp.c_Orderings_Oord__class_Oless @t11 @t15 @t136)) % 1.12/1.35 (define @t215 () (=> @t214 @t213)) % 1.12/1.35 (define @t216 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t136)) % 1.12/1.35 (define @t217 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t122)) % 1.12/1.35 (define @t218 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t15)) % 1.12/1.35 (define @t219 () (=> @t218 @t217)) % 1.12/1.35 (define @t220 () (tptp.c_Orderings_Oord__class_Oless @t11 @t31 @t136)) % 1.12/1.35 (define @t221 () (= (tptp.c_Orderings_Oord__class_Oless @t11 @t152 @t136) @t220)) % 1.12/1.35 (define @t222 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t31)) % 1.12/1.35 (define @t223 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t46)) % 1.12/1.35 (define @t224 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t46)) % 1.12/1.35 (define @t225 () (tptp.class_Rings_Ozero__neq__one @t11)) % 1.12/1.35 (define @t226 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t24)) % 1.12/1.35 (define @t227 () (@list @t24)) % 1.12/1.35 (define @t228 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t12)) % 1.12/1.35 (define @t229 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t17)) % 1.12/1.35 (define @t230 () (@var "V_d" $$unsorted)) % 1.12/1.35 (define @t231 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t15 @t230)) % 1.12/1.35 (define @t232 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t16 @t75)) % 1.12/1.35 (define @t233 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t75 @t230)) % 1.12/1.35 (define @t234 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t122 @t233)) % 1.12/1.35 (define @t235 () (@list @t230 @t75 @t15 @t16 @t11)) % 1.12/1.35 (define @t236 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t60)) % 1.12/1.35 (define @t237 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t24)) % 1.12/1.35 (define @t238 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t168)) % 1.12/1.35 (define @t239 () (@var "V_s" $$unsorted)) % 1.12/1.35 (define @t240 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t236 @t239)) % 1.12/1.35 (define @t241 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t237 @t138)) % 1.12/1.35 (define @t242 () (@list @t239 @t60 @t138 @t24 @t11)) % 1.12/1.35 (define @t243 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t27)) % 1.12/1.35 (define @t244 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t38)) % 1.12/1.35 (define @t245 () (not @t149)) % 1.12/1.35 (define @t246 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t60)) % 1.12/1.35 (define @t247 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t30 @t29)) % 1.12/1.35 (define @t248 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t11)) % 1.12/1.35 (define @t249 () (@list @t30 @t29 @t31 @t11)) % 1.12/1.35 (define @t250 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t29 @t30)) % 1.12/1.35 (define @t251 () (@list @t30 @t31 @t29 @t11)) % 1.12/1.35 (define @t252 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t188 @t162)) % 1.12/1.35 (define @t253 () (tptp.class_Groups_Oordered__ab__semigroup__add @t11)) % 1.12/1.35 (define @t254 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t75 @t15)) % 1.12/1.35 (define @t255 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t194 @t254)) % 1.12/1.35 (define @t256 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 @t230)) % 1.12/1.35 (define @t257 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t75 @t230)) % 1.12/1.35 (define @t258 () (@list @t15 @t75 @t16 @t11)) % 1.12/1.35 (define @t259 () (@list @t15 @t16 @t75 @t11)) % 1.12/1.35 (define @t260 () (tptp.c_Orderings_Oord__class_Oless @t11 @t194 @t254)) % 1.12/1.35 (define @t261 () (tptp.c_Orderings_Oord__class_Oless @t11 @t188 @t162)) % 1.12/1.35 (define @t262 () (tptp.c_Orderings_Oord__class_Oless @t11 @t188 @t256)) % 1.12/1.35 (define @t263 () (tptp.c_Orderings_Oord__class_Oless @t11 @t75 @t230)) % 1.12/1.35 (define @t264 () (=> @t263 @t262)) % 1.12/1.35 (define @t265 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t11)) % 1.12/1.35 (define @t266 () (tptp.class_Groups_Ogroup__add @t11)) % 1.12/1.35 (define @t267 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t60)) % 1.12/1.35 (define @t268 () (@list @t38 @t60 @t24)) % 1.12/1.35 (define @t269 () (= @t33 @t136)) % 1.12/1.35 (define @t270 () (@list @t30 @t31 @t11)) % 1.12/1.35 (define @t271 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t12)) % 1.12/1.35 (define @t272 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t140 @t142)) % 1.12/1.35 (define @t273 () (@var "B_d" $$unsorted)) % 1.12/1.35 (define @t274 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t273)) % 1.12/1.35 (define @t275 () (@list @t273)) % 1.12/1.35 (define @t276 () (@var "B_e" $$unsorted)) % 1.12/1.35 (define @t277 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.12/1.35 (define @t278 () (tptp.hAPP (tptp.hAPP @t277 tptp.v_d____) tptp.v_m____)) % 1.12/1.35 (define @t279 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t24 @t60)) % 1.12/1.35 (define @t280 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t60)) % 1.12/1.35 (define @t281 () (tptp.class_Fields_Olinordered__field__inverse__zero @t11)) % 1.12/1.35 (define @t282 () (@var "V_r_2" $$unsorted)) % 1.12/1.35 (define @t283 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t122 @t228)) % 1.12/1.35 (define @t284 () (tptp.class_Fields_Olinordered__field @t11)) % 1.12/1.35 (define @t285 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t279)) % 1.12/1.35 (define @t286 () (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t136)) % 1.12/1.35 (define @t287 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t136)) % 1.12/1.35 (define @t288 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t279 @t136)) % 1.12/1.35 (define @t289 () (tptp.hAPP (tptp.hAPP @t277 @t237) @t236)) % 1.12/1.35 (define @t290 () (tptp.c_Groups_Otimes__class_Otimes @t11)) % 1.12/1.35 (define @t291 () (tptp.hAPP @t290 @t24)) % 1.12/1.35 (define @t292 () (tptp.hAPP @t291 @t60)) % 1.12/1.35 (define @t293 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t292)) % 1.12/1.35 (define @t294 () (tptp.class_RealVector_Oreal__normed__div__algebra @t11)) % 1.12/1.35 (define @t295 () (@var "V_z3" $$unsorted)) % 1.12/1.35 (define @t296 () (@var "V_z2" $$unsorted)) % 1.12/1.35 (define @t297 () (tptp.hAPP @t277 @t296)) % 1.12/1.35 (define @t298 () (@var "V_z1" $$unsorted)) % 1.12/1.35 (define @t299 () (tptp.hAPP @t277 @t298)) % 1.12/1.35 (define @t300 () (tptp.hAPP @t290 @t15)) % 1.12/1.35 (define @t301 () (tptp.hAPP @t300 @t75)) % 1.12/1.35 (define @t302 () (tptp.hAPP @t290 @t16)) % 1.12/1.35 (define @t303 () (tptp.hAPP @t302 @t15)) % 1.12/1.35 (define @t304 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t11)) % 1.12/1.35 (define @t305 () (tptp.hAPP @t277 @t38)) % 1.12/1.35 (define @t306 () (tptp.hAPP @t291 @t24)) % 1.12/1.35 (define @t307 () (tptp.hAPP @t302 @t16)) % 1.12/1.35 (define @t308 () (tptp.hAPP @t290 @t60)) % 1.12/1.35 (define @t309 () (tptp.hAPP @t291 @t38)) % 1.12/1.35 (define @t310 () (tptp.class_RealVector_Oreal__normed__algebra @t11)) % 1.12/1.35 (define @t311 () (tptp.hAPP @t277 @t138)) % 1.12/1.35 (define @t312 () (tptp.hAPP @t290 @t136)) % 1.12/1.35 (define @t313 () (= (tptp.hAPP @t312 @t16) @t136)) % 1.12/1.35 (define @t314 () (tptp.class_Rings_Omult__zero @t11)) % 1.12/1.35 (define @t315 () (= (tptp.hAPP @t302 @t136) @t136)) % 1.12/1.35 (define @t316 () (tptp.hAPP @t290 @t31)) % 1.12/1.35 (define @t317 () (tptp.hAPP @t316 @t30)) % 1.12/1.35 (define @t318 () (= @t303 @t136)) % 1.12/1.35 (define @t319 () (tptp.class_Rings_Ono__zero__divisors @t11)) % 1.12/1.35 (define @t320 () (tptp.hAPP @t302 @t75)) % 1.12/1.35 (define @t321 () (tptp.hAPP @t290 @t122)) % 1.12/1.35 (define @t322 () (= (tptp.hAPP @t321 @t75) (tptp.c_Groups_Oplus__class_Oplus @t11 @t320 @t301))) % 1.12/1.35 (define @t323 () (@var "V_e" $$unsorted)) % 1.12/1.35 (define @t324 () (tptp.hAPP @t308 @t165)) % 1.12/1.35 (define @t325 () (tptp.hAPP @t291 @t165)) % 1.12/1.35 (define @t326 () (@var "V_a_H" $$unsorted)) % 1.12/1.35 (define @t327 () (tptp.hAPP @t290 @t326)) % 1.12/1.35 (define @t328 () (tptp.hAPP @t327 @t15)) % 1.12/1.35 (define @t329 () (@list @t15 @t326 @t16 @t11)) % 1.12/1.35 (define @t330 () (@var "V_xa" $$unsorted)) % 1.12/1.35 (define @t331 () (tptp.hAPP @t290 @t330)) % 1.12/1.35 (define @t332 () (tptp.hAPP @t331 @t60)) % 1.12/1.35 (define @t333 () (tptp.hAPP @t331 @t24)) % 1.12/1.35 (define @t334 () (@list @t60 @t24 @t330 @t11)) % 1.12/1.35 (define @t335 () (@var "V_b_H" $$unsorted)) % 1.12/1.35 (define @t336 () (tptp.hAPP @t302 @t335)) % 1.12/1.35 (define @t337 () (@list @t335 @t15 @t16 @t11)) % 1.12/1.35 (define @t338 () (= (tptp.hAPP @t302 @t12) @t16)) % 1.12/1.35 (define @t339 () (tptp.class_Groups_Ocomm__monoid__mult @t11)) % 1.12/1.35 (define @t340 () (tptp.class_Groups_Omonoid__mult @t11)) % 1.12/1.35 (define @t341 () (= (tptp.hAPP (tptp.hAPP @t290 @t12) @t16) @t16)) % 1.12/1.35 (define @t342 () (tptp.hAPP @t277 @t29)) % 1.12/1.35 (define @t343 () (not (= @t29 @t51))) % 1.12/1.35 (define @t344 () (@list @t30 @t31 @t29)) % 1.12/1.35 (define @t345 () (tptp.hAPP @t290 @t140)) % 1.12/1.35 (define @t346 () (tptp.hAPP @t345 @t142)) % 1.12/1.35 (define @t347 () (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t303) @t346)) % 1.12/1.35 (define @t348 () (@list @t38)) % 1.12/1.35 (define @t349 () (= @t29 @t136)) % 1.12/1.35 (define @t350 () (=> @t349 @t151)) % 1.12/1.35 (define @t351 () (tptp.hAPP @t316 @t29)) % 1.12/1.35 (define @t352 () (= @t351 @t30)) % 1.12/1.35 (define @t353 () (not @t349)) % 1.12/1.35 (define @t354 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t30 @t29)) % 1.12/1.35 (define @t355 () (= @t31 @t354)) % 1.12/1.35 (define @t356 () (= @t30 @t351)) % 1.12/1.35 (define @t357 () (= @t354 @t31)) % 1.12/1.35 (define @t358 () (@list @t31 @t29 @t30 @t11)) % 1.12/1.35 (define @t359 () (= @t75 @t136)) % 1.12/1.35 (define @t360 () (not @t359)) % 1.12/1.35 (define @t361 () (tptp.hAPP @t290 @t75)) % 1.12/1.35 (define @t362 () (tptp.hAPP @t361 @t15)) % 1.12/1.35 (define @t363 () (tptp.hAPP @t361 @t16)) % 1.12/1.35 (define @t364 () (@var "V_wa_2" $$unsorted)) % 1.12/1.35 (define @t365 () (tptp.hAPP @t290 @t364)) % 1.12/1.35 (define @t366 () (tptp.hAPP @t365 @t52)) % 1.12/1.35 (define @t367 () (@var "V_za_2" $$unsorted)) % 1.12/1.35 (define @t368 () (tptp.hAPP @t290 @t46)) % 1.12/1.35 (define @t369 () (tptp.hAPP @t368 @t367)) % 1.12/1.35 (define @t370 () (not @t207)) % 1.12/1.35 (define @t371 () (tptp.class_Fields_Ofield @t11)) % 1.12/1.35 (define @t372 () (tptp.hAPP (tptp.hAPP @t277 @t24) @t60)) % 1.12/1.35 (define @t373 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t303 @t136)) % 1.12/1.35 (define @t374 () (tptp.class_Rings_Oordered__cancel__semiring @t11)) % 1.12/1.35 (define @t375 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t303)) % 1.12/1.35 (define @t376 () (tptp.class_Rings_Oordered__ring @t11)) % 1.12/1.35 (define @t377 () (tptp.hAPP @t300 @t230)) % 1.12/1.35 (define @t378 () (=> @t205 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t320 @t377))) % 1.12/1.35 (define @t379 () (tptp.class_Rings_Oordered__semiring @t11)) % 1.12/1.35 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t363 @t362)) % 1.12/1.35 (define @t381 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t75 @t136)) % 1.12/1.35 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t320 @t301)) % 1.12/1.35 (define @t383 () (=> @t99 (=> @t205 @t380))) % 1.12/1.35 (define @t384 () (tptp.hAPP @t300 @t16)) % 1.12/1.35 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t30)) % 1.12/1.35 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t30 @t136)) % 1.12/1.35 (define @t387 () (or (and @t211 @t386) (and @t210 @t385))) % 1.12/1.35 (define @t388 () (tptp.class_Rings_Olinordered__ring__strict @t11)) % 1.12/1.35 (define @t389 () (or (and @t211 @t385) (and @t210 @t386))) % 1.12/1.35 (define @t390 () (tptp.class_Rings_Olinordered__ring @t11)) % 1.12/1.35 (define @t391 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t75 @t15)) % 1.12/1.35 (define @t392 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t75 @t16)) % 1.12/1.35 (define @t393 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t303)) % 1.12/1.35 (define @t394 () (=> @t393 (tptp.c_Orderings_Oord__class_Oless @t11 @t392 @t391))) % 1.12/1.35 (define @t395 () (tptp.c_Orderings_Oord__class_Oless @t11 @t75 @t136)) % 1.12/1.35 (define @t396 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t75)) % 1.12/1.35 (define @t397 () (tptp.c_Orderings_Oord__class_Oless @t11 @t351 @t30)) % 1.12/1.35 (define @t398 () (tptp.c_Orderings_Oord__class_Oless @t11 @t354 @t31)) % 1.12/1.35 (define @t399 () (tptp.c_Orderings_Oord__class_Oless @t11 @t29 @t136)) % 1.12/1.35 (define @t400 () (@list @t31 @t30 @t29 @t11)) % 1.12/1.35 (define @t401 () (tptp.c_Orderings_Oord__class_Oless @t11 @t30 @t351)) % 1.12/1.35 (define @t402 () (tptp.c_Orderings_Oord__class_Oless @t11 @t31 @t354)) % 1.12/1.35 (define @t403 () (tptp.hAPP @t290 @t38)) % 1.12/1.35 (define @t404 () (tptp.hAPP @t403 @t60)) % 1.12/1.35 (define @t405 () (@list @t24 @t38 @t60 @t11)) % 1.12/1.35 (define @t406 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t29)) % 1.12/1.35 (define @t407 () (not @t399)) % 1.12/1.35 (define @t408 () (not @t406)) % 1.12/1.35 (define @t409 () (tptp.c_Orderings_Oord__class_Oless @t11 @t363 @t362)) % 1.12/1.35 (define @t410 () (tptp.c_Orderings_Oord__class_Oless @t11 @t320 @t301)) % 1.12/1.35 (define @t411 () (=> @t73 (=> @t396 @t409))) % 1.12/1.35 (define @t412 () (tptp.class_Rings_Olinordered__semiring__strict @t11)) % 1.12/1.35 (define @t413 () (tptp.c_Orderings_Oord__class_Oless @t11 @t303 @t136)) % 1.12/1.35 (define @t414 () (tptp.hAPP @t290 @t29)) % 1.12/1.35 (define @t415 () (tptp.hAPP @t414 @t30)) % 1.12/1.35 (define @t416 () (tptp.hAPP @t414 @t31)) % 1.12/1.35 (define @t417 () (tptp.c_Orderings_Oord__class_Oless @t11 @t416 @t415)) % 1.12/1.35 (define @t418 () (=> @t191 @t218)) % 1.12/1.35 (define @t419 () (or (and @t406 @t106) (and @t399 @t132))) % 1.12/1.35 (define @t420 () (tptp.hAPP @t290 @t30)) % 1.12/1.35 (define @t421 () (tptp.hAPP @t420 @t29)) % 1.12/1.35 (define @t422 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t404)) % 1.12/1.35 (define @t423 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t422 @t60)) % 1.12/1.35 (define @t424 () (not (= @t60 @t136))) % 1.12/1.35 (define @t425 () (tptp.hAPP @t403 @t24)) % 1.12/1.35 (define @t426 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t60 @t38)) % 1.12/1.35 (define @t427 () (not (= @t38 @t136))) % 1.12/1.35 (define @t428 () (@list @t60 @t24 @t38 @t11)) % 1.12/1.35 (define @t429 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t24 @t38)) % 1.12/1.35 (define @t430 () (tptp.hAPP @t308 @t38)) % 1.12/1.35 (define @t431 () (tptp.hAPP (tptp.hAPP @t290 @t37) @t60)) % 1.12/1.35 (define @t432 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t37 @t38)) % 1.12/1.35 (define @t433 () (@list @t37 @t24 @t38 @t60 @t11)) % 1.12/1.35 (define @t434 () (@var "V_n" $$unsorted)) % 1.12/1.35 (define @t435 () (@var "V_m" $$unsorted)) % 1.12/1.35 (define @t436 () (tptp.hAPP @t290 @t435)) % 1.12/1.35 (define @t437 () (tptp.hAPP @t290 (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t16))) % 1.12/1.35 (define @t438 () (tptp.hAPP @t437 @t15)) % 1.12/1.35 (define @t439 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t60 @t15)) % 1.12/1.35 (define @t440 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t292 @t303)) % 1.12/1.35 (define @t441 () (tptp.class_Rings_Oring @t11)) % 1.12/1.35 (define @t442 () (@list @t15 @t16 @t60 @t24 @t11)) % 1.12/1.35 (define @t443 () (@var "V_ea_2" $$unsorted)) % 1.12/1.35 (define @t444 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t290 @t33) @t443) @t29)) % 1.12/1.35 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t420 @t443) @t28)) % 1.12/1.35 (define @t446 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t316 @t443) @t29)) % 1.12/1.35 (define @t447 () (= @t446 @t445)) % 1.12/1.35 (define @t448 () (@list @t28 @t30 @t29 @t443 @t31 @t11)) % 1.12/1.35 (define @t449 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t290 (tptp.c_Groups_Ominus__class_Ominus @t11 @t30 @t31)) @t443) @t28)) % 1.12/1.35 (define @t450 () (tptp.hAPP @t361 @t230)) % 1.12/1.35 (define @t451 () (@list @t230 @t15 @t75 @t16 @t11)) % 1.12/1.35 (define @t452 () (tptp.hAPP @t277 @t52)) % 1.12/1.35 (define @t453 () (tptp.hAPP @t452 @t367)) % 1.12/1.35 (define @t454 () (tptp.hAPP @t277 @t46)) % 1.12/1.35 (define @t455 () (tptp.hAPP @t454 @t367)) % 1.12/1.35 (define @t456 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t367)) % 1.12/1.35 (define @t457 () (@list @t52 @t46 @t367)) % 1.12/1.35 (define @t458 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t60)) % 1.12/1.35 (define @t459 () (= @t46 @t51)) % 1.12/1.35 (define @t460 () (tptp.hAPP @t454 @t46)) % 1.12/1.35 (define @t461 () (=> @t393 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t392 @t391))) % 1.12/1.35 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t351 @t30)) % 1.12/1.35 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t354 @t31)) % 1.12/1.35 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t30 @t351)) % 1.12/1.35 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t31 @t354)) % 1.12/1.35 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t416 @t415)) % 1.12/1.35 (define @t467 () (tptp.c_Orderings_Oord__class_Oless @t11 @t320 @t377)) % 1.12/1.35 (define @t468 () (=> @t205 @t467)) % 1.12/1.35 (define @t469 () (=> @t205 @t73)) % 1.12/1.35 (define @t470 () (=> @t410 @t469)) % 1.12/1.35 (define @t471 () (tptp.class_Rings_Olinordered__semiring @t11)) % 1.12/1.35 (define @t472 () (=> @t409 @t469)) % 1.12/1.35 (define @t473 () (=> @t396 @t99)) % 1.12/1.35 (define @t474 () (tptp.hAPP @t308 @t24)) % 1.12/1.35 (define @t475 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t12)) % 1.12/1.35 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t60)) % 1.12/1.35 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t24)) % 1.12/1.35 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t446 @t445)) % 1.12/1.35 (define @t479 () (tptp.c_Orderings_Oord__class_Oless @t11 @t446 @t445)) % 1.12/1.35 (define @t480 () (tptp.hAPP @t277 @t367)) % 1.12/1.35 (define @t481 () (@var "V_v" $$unsorted)) % 1.12/1.35 (define @t482 () (@var "V_u" $$unsorted)) % 1.12/1.35 (define @t483 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t290 @t482) @t24) (tptp.hAPP (tptp.hAPP @t290 @t481) @t60))) % 1.12/1.35 (define @t484 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t482 @t481) @t12)) % 1.12/1.35 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t481)) % 1.12/1.35 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t482)) % 1.12/1.35 (define @t487 () (@list @t481 @t482 @t60 @t16 @t24 @t11)) % 1.12/1.35 (define @t488 () (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t180) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t140 @t142))) % 1.12/1.35 (define @t489 () (tptp.c_Orderings_Oord__class_Oless @t11 @t197 @t196)) % 1.12/1.35 (define @t490 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t279)) % 1.12/1.35 (define @t491 () (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t136)) % 1.12/1.35 (define @t492 () (tptp.c_Orderings_Oord__class_Oless @t11 @t279 @t136)) % 1.12/1.35 (define @t493 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t24)) % 1.12/1.35 (define @t494 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t30)) % 1.12/1.35 (define @t495 () (tptp.c_Orderings_Oord__class_Oless @t11 @t30 @t136)) % 1.12/1.35 (define @t496 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t60 @t37)) % 1.12/1.35 (define @t497 () (tptp.c_Orderings_Oord__class_Oless @t11 @t429 @t496)) % 1.12/1.35 (define @t498 () (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t37)) % 1.12/1.35 (define @t499 () (@list @t38 @t37 @t60 @t24 @t11)) % 1.12/1.35 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t37 @t38)) % 1.12/1.35 (define @t501 () (tptp.hAPP @t277 @t75)) % 1.12/1.35 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t51)) % 1.12/1.35 (define @t503 () (@list @t16 @t15)) % 1.12/1.35 (define @t504 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t60)) % 1.12/1.35 (define @t505 () (@var "V_h" $$unsorted)) % 1.12/1.35 (define @t506 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t368 @t46) (tptp.hAPP (tptp.hAPP @t290 @t52) @t52))) % 1.12/1.35 (define @t507 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t306 (tptp.hAPP @t308 @t60))) % 1.12/1.35 (define @t508 () (tptp.hAPP @t277 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t131 @t126) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t30 @t31)))) % 1.12/1.35 (define @t509 () (@list @t46)) % 1.12/1.35 (define @t510 () (tptp.class_Rings_Ocomm__semiring__1 @t11)) % 1.12/1.35 (define @t511 () (tptp.hAPP (tptp.hAPP @t290 @t271) @t435)) % 1.12/1.35 (define @t512 () (tptp.hAPP @t302 @t435)) % 1.12/1.35 (define @t513 () (tptp.hAPP @t290 @t138)) % 1.12/1.35 (define @t514 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t11)) % 1.12/1.35 (define @t515 () (@var "V_ry" $$unsorted)) % 1.12/1.35 (define @t516 () (@var "V_lx" $$unsorted)) % 1.12/1.35 (define @t517 () (tptp.hAPP @t290 @t516)) % 1.12/1.35 (define @t518 () (@var "V_rx" $$unsorted)) % 1.12/1.35 (define @t519 () (tptp.hAPP @t290 @t518)) % 1.12/1.35 (define @t520 () (tptp.hAPP @t519 @t515)) % 1.12/1.35 (define @t521 () (tptp.hAPP @t517 @t520)) % 1.12/1.35 (define @t522 () (@list @t515 @t518 @t516 @t11)) % 1.12/1.35 (define @t523 () (tptp.hAPP @t290 (tptp.hAPP @t517 @t518))) % 1.12/1.35 (define @t524 () (@var "V_ly" $$unsorted)) % 1.12/1.35 (define @t525 () (tptp.hAPP @t290 @t524)) % 1.12/1.35 (define @t526 () (tptp.hAPP @t290 (tptp.hAPP @t517 @t524))) % 1.12/1.35 (define @t527 () (tptp.hAPP @t526 @t518)) % 1.12/1.35 (define @t528 () (@list @t518 @t524 @t516 @t11)) % 1.12/1.35 (define @t529 () (tptp.hAPP @t526 @t520)) % 1.12/1.35 (define @t530 () (@list @t515 @t518 @t524 @t516 @t11)) % 1.12/1.35 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t233)) % 1.12/1.35 (define @t532 () (@list @t230 @t75 @t16 @t11)) % 1.12/1.35 (define @t533 () (tptp.hAPP @t316 @t28)) % 1.12/1.35 (define @t534 () (@var "B_K" $$unsorted)) % 1.12/1.35 (define @t535 () (tptp.hAPP (tptp.hAPP @t277 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t3)) @t534)) % 1.12/1.35 (define @t536 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t3 @t60)) @t535))) % 1.12/1.35 (define @t537 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t534)) % 1.12/1.35 (define @t538 () (@list @t534)) % 1.12/1.35 (define @t539 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (define @t540 () (@var "B_b" $$unsorted)) % 1.12/1.35 (define @t541 () (@var "B_a" $$unsorted)) % 1.12/1.35 (define @t542 () (forall (@list @t541 @t540) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP (tptp.hAPP @t290 @t541) @t540)) (tptp.hAPP (tptp.hAPP @t277 (tptp.hAPP (tptp.hAPP @t277 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t541)) (tptp.c_RealVector_Onorm__class_Onorm @t11 @t540))) @t534)))) % 1.12/1.35 (define @t543 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP @t291 @t3)) @t535))) % 1.12/1.35 (define @t544 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (define @t545 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP (tptp.hAPP @t290 @t3) @t60)) @t535))) % 1.12/1.35 (define @t546 () (tptp.c_Transcendental_Oarctan @t60)) % 1.12/1.35 (define @t547 () (tptp.c_Transcendental_Oarctan @t24)) % 1.12/1.35 (define @t548 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_cs____)) % 1.12/1.35 (define @t549 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t124 tptp.v_z)) % 1.12/1.35 (define @t550 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t549)) % 1.12/1.35 (define @t551 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t128)) @t273)) % 1.12/1.35 (define @t552 () (@list @t128)) % 1.12/1.35 (define @t553 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t15)) % 1.12/1.35 (define @t554 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t24)) % 1.12/1.35 (define @t555 () (@list @t15 @t24 @t16)) % 1.12/1.35 (define @t556 () (@var "B_m" $$unsorted)) % 1.12/1.35 (define @t557 () (@var "B_z" $$unsorted)) % 1.12/1.35 (define @t558 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t557)) % 1.12/1.35 (define @t559 () (@list @t557)) % 1.12/1.35 (define @t560 () (forall @t559 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t558 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t548 @t557)) @t556)))) % 1.12/1.35 (define @t561 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t556)) % 1.12/1.35 (define @t562 () (@list @t556)) % 1.12/1.35 (define @t563 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.12/1.35 (define @t564 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.12/1.35 (define @t565 () (@var "V_w_2" $$unsorted)) % 1.12/1.35 (define @t566 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.12/1.35 (define @t567 () (tptp.tc_Polynomial_Opoly @t11)) % 1.12/1.35 (define @t568 () (tptp.c_Groups_Oone__class_Oone @t567)) % 1.12/1.35 (define @t569 () (@var "V_q" $$unsorted)) % 1.12/1.35 (define @t570 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t569) @t24)) % 1.12/1.35 (define @t571 () (@var "V_p" $$unsorted)) % 1.12/1.35 (define @t572 () (tptp.c_Polynomial_Opoly @t11 @t571)) % 1.12/1.35 (define @t573 () (tptp.hAPP @t572 @t24)) % 1.12/1.35 (define @t574 () (tptp.c_Groups_Ominus__class_Ominus @t567 @t571 @t569)) % 1.12/1.35 (define @t575 () (tptp.class_Rings_Ocomm__ring @t11)) % 1.12/1.35 (define @t576 () (@list @t24 @t569 @t571 @t11)) % 1.12/1.35 (define @t577 () (tptp.c_Groups_Oplus__class_Oplus @t567 @t571 @t569)) % 1.12/1.35 (define @t578 () (tptp.class_Rings_Ocomm__semiring__0 @t11)) % 1.12/1.35 (define @t579 () (tptp.c_Groups_Otimes__class_Otimes @t567)) % 1.12/1.35 (define @t580 () (tptp.hAPP @t579 @t571)) % 1.12/1.35 (define @t581 () (tptp.hAPP @t580 @t569)) % 1.12/1.35 (define @t582 () (tptp.c_Polynomial_Odegree @t11 @t569)) % 1.12/1.35 (define @t583 () (tptp.c_Polynomial_Odegree @t11 @t571)) % 1.12/1.35 (define @t584 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t583 @t582)) % 1.12/1.35 (define @t585 () (tptp.c_Polynomial_Odegree @t11 @t581)) % 1.12/1.35 (define @t586 () (@list @t569 @t571 @t11)) % 1.12/1.35 (define @t587 () (tptp.c_Polynomial_Odegree @t11 @t574)) % 1.12/1.35 (define @t588 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t582 @t434)) % 1.12/1.35 (define @t589 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t583 @t434)) % 1.12/1.35 (define @t590 () (@list @t569 @t434 @t571 @t11)) % 1.12/1.35 (define @t591 () (tptp.c_Polynomial_Odegree @t11 @t577)) % 1.12/1.35 (define @t592 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t582 @t434)) % 1.12/1.35 (define @t593 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t434)) % 1.12/1.35 (define @t594 () (tptp.c_Groups_Ozero__class_Ozero @t567)) % 1.12/1.35 (define @t595 () (@list @t571 @t11)) % 1.12/1.35 (define @t596 () (@list @t569 @t11)) % 1.12/1.35 (define @t597 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.12/1.35 (define @t598 () (not (= @t569 @t594))) % 1.12/1.35 (define @t599 () (not (= @t571 @t594))) % 1.12/1.35 (define @t600 () (tptp.class_Rings_Oidom @t11)) % 1.12/1.35 (define @t601 () (@var "V_qa_2" $$unsorted)) % 1.12/1.35 (define @t602 () (@var "V_pa_2" $$unsorted)) % 1.12/1.35 (define @t603 () (tptp.c_Polynomial_Opoly @t11 @t602)) % 1.12/1.35 (define @t604 () (and (tptp.class_Int_Oring__char__0 @t11) @t600)) % 1.12/1.35 (define @t605 () (= @t602 @t594)) % 1.12/1.35 (define @t606 () (tptp.c_Polynomial_Opoly @t11 @t594)) % 1.12/1.35 (define @t607 () (@list @t602 @t11)) % 1.12/1.35 (define @t608 () (@var "B_q" $$unsorted)) % 1.12/1.35 (define @t609 () (@list @t608)) % 1.12/1.35 (define @t610 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t534)) % 1.12/1.35 (define @t611 () (@var "B_n" $$unsorted)) % 1.12/1.35 (define @t612 () (@var "V_k_2" $$unsorted)) % 1.12/1.35 (define @t613 () (@var "V_l_2" $$unsorted)) % 1.12/1.35 (define @t614 () (@list @t611)) % 1.12/1.35 (define @t615 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.12/1.35 (define @t616 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t615)) % 1.12/1.35 (define @t617 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.12/1.35 (define @t618 () (tptp.hAPP @t617 @t435)) % 1.12/1.35 (define @t619 () (tptp.hAPP @t618 @t434)) % 1.12/1.35 (define @t620 () (= @t435 @t597)) % 1.12/1.35 (define @t621 () (not @t620)) % 1.12/1.35 (define @t622 () (@list @t434 @t435)) % 1.12/1.35 (define @t623 () (@list @t434)) % 1.12/1.35 (define @t624 () (@var "V_n_2" $$unsorted)) % 1.12/1.35 (define @t625 () (@var "V_u_2" $$unsorted)) % 1.12/1.35 (define @t626 () (@var "V_i_2" $$unsorted)) % 1.12/1.35 (define @t627 () (@var "V_j_2" $$unsorted)) % 1.12/1.35 (define @t628 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t627 @t626)) % 1.12/1.35 (define @t629 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 @t628) @t625) @t624)) % 1.12/1.35 (define @t630 () (@var "V_ma_2" $$unsorted)) % 1.12/1.35 (define @t631 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 @t627) @t625) @t624)) % 1.12/1.35 (define @t632 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 @t626) @t625) @t630)) % 1.12/1.35 (define @t633 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t632 @t631)) % 1.12/1.35 (define @t634 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t626 @t627)) % 1.12/1.35 (define @t635 () (@list @t624 @t630 @t625 @t627 @t626)) % 1.12/1.35 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t626 @t627)) @t625) @t630)) % 1.12/1.35 (define @t637 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t627 @t626)) % 1.12/1.35 (define @t638 () (@list @t624 @t630 @t625 @t626 @t627)) % 1.12/1.35 (define @t639 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t44)) % 1.12/1.35 (define @t640 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t639 @t42)) % 1.12/1.35 (define @t641 () (tptp.hAPP @t617 @t42)) % 1.12/1.35 (define @t642 () (tptp.hAPP @t641 @t434)) % 1.12/1.35 (define @t643 () (tptp.hAPP @t641 @t435)) % 1.12/1.35 (define @t644 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t645 () (@list @t434 @t435 @t42)) % 1.12/1.35 (define @t646 () (tptp.hAPP @t617 @t434)) % 1.12/1.35 (define @t647 () (tptp.hAPP @t646 @t42)) % 1.12/1.35 (define @t648 () (tptp.hAPP @t618 @t42)) % 1.12/1.35 (define @t649 () (@list @t42 @t434 @t435)) % 1.12/1.35 (define @t650 () (tptp.hAPP @t646 @t435)) % 1.12/1.35 (define @t651 () (= @t624 @t615)) % 1.12/1.35 (define @t652 () (= @t630 @t615)) % 1.12/1.35 (define @t653 () (and @t652 @t651)) % 1.12/1.35 (define @t654 () (tptp.hAPP @t617 @t630)) % 1.12/1.35 (define @t655 () (tptp.hAPP @t654 @t624)) % 1.12/1.35 (define @t656 () (@list @t624 @t630)) % 1.12/1.35 (define @t657 () (= @t612 @t597)) % 1.12/1.35 (define @t658 () (= @t630 @t624)) % 1.12/1.35 (define @t659 () (or @t658 @t657)) % 1.12/1.35 (define @t660 () (tptp.hAPP @t617 @t624)) % 1.12/1.35 (define @t661 () (tptp.hAPP @t660 @t612)) % 1.12/1.35 (define @t662 () (tptp.hAPP @t654 @t612)) % 1.12/1.35 (define @t663 () (@list @t624 @t612 @t630)) % 1.12/1.35 (define @t664 () (tptp.hAPP @t617 @t612)) % 1.12/1.35 (define @t665 () (tptp.hAPP @t664 @t624)) % 1.12/1.35 (define @t666 () (tptp.hAPP @t664 @t630)) % 1.12/1.35 (define @t667 () (= @t666 @t665)) % 1.12/1.35 (define @t668 () (@list @t624 @t630 @t612)) % 1.12/1.35 (define @t669 () (= @t624 @t597)) % 1.12/1.35 (define @t670 () (= @t630 @t597)) % 1.12/1.35 (define @t671 () (@list @t435)) % 1.12/1.35 (define @t672 () (= @t435 @t434)) % 1.12/1.35 (define @t673 () (= @t644 @t597)) % 1.12/1.35 (define @t674 () (@var "V_P_2" $$unsorted)) % 1.12/1.35 (define @t675 () (tptp.hAPP @t674 @t624)) % 1.12/1.35 (define @t676 () (tptp.hBOOL (tptp.hAPP @t675 @t630))) % 1.12/1.35 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t624 @t630)) % 1.12/1.35 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t630 @t624)) % 1.12/1.35 (define @t679 () (@var "V_t" $$unsorted)) % 1.12/1.35 (define @t680 () (not @t672)) % 1.12/1.35 (define @t681 () (@list @t435 @t434)) % 1.12/1.35 (define @t682 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t60)) % 1.12/1.35 (define @t683 () (not @t658)) % 1.12/1.35 (define @t684 () (@var "V_l" $$unsorted)) % 1.12/1.35 (define @t685 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t684 @t435)) % 1.12/1.35 (define @t686 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t684 @t434)) % 1.12/1.35 (define @t687 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t688 () (@list @t684 @t434 @t435)) % 1.12/1.35 (define @t689 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t435)) % 1.12/1.35 (define @t691 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t42)) % 1.12/1.35 (define @t692 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 @t434)) % 1.12/1.35 (define @t693 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t42)) % 1.12/1.35 (define @t694 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t42)) % 1.12/1.35 (define @t695 () (@list @t434 @t42 @t435)) % 1.12/1.35 (define @t696 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t624 @t612)) % 1.12/1.35 (define @t697 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t612 @t624)) % 1.12/1.35 (define @t698 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t612 @t630)) % 1.12/1.35 (define @t699 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t38)) % 1.12/1.35 (define @t700 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t44)) % 1.12/1.35 (define @t701 () (tptp.hAPP @t617 @t44)) % 1.12/1.35 (define @t702 () (tptp.hAPP @t701 @t482)) % 1.12/1.35 (define @t703 () (tptp.hAPP @t617 @t43)) % 1.12/1.35 (define @t704 () (tptp.hAPP @t703 @t482)) % 1.12/1.35 (define @t705 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t435)) % 1.12/1.35 (define @t706 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t707 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t44)) % 1.12/1.35 (define @t708 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t630 @t624)) % 1.12/1.35 (define @t709 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t624 @t612)) % 1.12/1.35 (define @t710 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t630 @t612)) % 1.12/1.35 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t624)) % 1.12/1.35 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t630)) % 1.12/1.35 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t42 @t434)) % 1.12/1.35 (define @t714 () (tptp.hAPP @t703 @t42)) % 1.12/1.35 (define @t715 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t42 @t684)) % 1.12/1.35 (define @t716 () (@list @t684 @t42 @t44 @t43)) % 1.12/1.35 (define @t717 () (tptp.hAPP @t641 @t44)) % 1.12/1.35 (define @t718 () (tptp.hAPP @t641 @t43)) % 1.12/1.35 (define @t719 () (tptp.hAPP @t701 @t42)) % 1.12/1.35 (define @t720 () (tptp.hAPP @t618 @t435)) % 1.12/1.35 (define @t721 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t624)) % 1.12/1.35 (define @t722 () (not @t669)) % 1.12/1.35 (define @t723 () (@list @t624)) % 1.12/1.35 (define @t724 () (= @t434 @t597)) % 1.12/1.35 (define @t725 () (not @t724)) % 1.12/1.35 (define @t726 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t434)) % 1.12/1.35 (define @t727 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t630)) % 1.12/1.35 (define @t728 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t612)) % 1.12/1.35 (define @t729 () (and @t728 @t678)) % 1.12/1.35 (define @t730 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t666 @t665)) % 1.12/1.35 (define @t731 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t42)) % 1.12/1.35 (define @t732 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t44)) % 1.12/1.35 (define @t733 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t435)) % 1.12/1.35 (define @t734 () (@list @t630 @t624)) % 1.12/1.35 (define @t735 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t630 @t624)) % 1.12/1.35 (define @t736 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t43)) % 1.12/1.35 (define @t737 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t626 @t612)) % 1.12/1.35 (define @t738 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t627 @t612)) % 1.12/1.35 (define @t739 () (@list @t612 @t627 @t626)) % 1.12/1.35 (define @t740 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t644) @t435)) % 1.12/1.35 (define @t741 () (not @t687)) % 1.12/1.35 (define @t742 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t435)) % 1.12/1.35 (define @t743 () (@list @t435 @t44 @t43)) % 1.12/1.35 (define @t744 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t44)) % 1.12/1.35 (define @t745 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t42)) % 1.12/1.35 (define @t746 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t684)) % 1.12/1.35 (define @t747 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t42 @t684)) % 1.12/1.35 (define @t748 () (@list @t75 @t15 @t16)) % 1.12/1.35 (define @t749 () (@var "B_k" $$unsorted)) % 1.12/1.35 (define @t750 () (@list @t749)) % 1.12/1.35 (define @t751 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t44 @t42)) % 1.12/1.35 (define @t752 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t42 @t44)) % 1.12/1.35 (define @t753 () (@list @t43 @t44 @t42)) % 1.12/1.35 (define @t754 () (@list @t435 @t434 @t42)) % 1.12/1.35 (define @t755 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t700 @t42)) % 1.12/1.35 (define @t756 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t751)) % 1.12/1.35 (define @t757 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t736 @t42)) % 1.12/1.35 (define @t758 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t751 @t43)) % 1.12/1.35 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t694 @t434)) % 1.12/1.35 (define @t760 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t632 @t631)) % 1.12/1.35 (define @t761 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t704 @t435) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t702 @t434))) % 1.12/1.35 (define @t762 () (= @t632 @t631)) % 1.12/1.35 (define @t763 () (tptp.hBOOL (tptp.hAPP @t674 @t273))) % 1.12/1.35 (define @t764 () (= @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t273))) % 1.12/1.35 (define @t765 () (tptp.hBOOL (tptp.hAPP @t674 @t597))) % 1.12/1.35 (define @t766 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t30)) % 1.12/1.35 (define @t767 () (tptp.hBOOL (tptp.hAPP @t674 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t31 @t30)))) % 1.12/1.35 (define @t768 () (@list @t30 @t31 @t674)) % 1.12/1.35 (define @t769 () (not @t765)) % 1.12/1.35 (define @t770 () (=> @t728 @t708)) % 1.12/1.35 (define @t771 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t666 @t665)) % 1.12/1.35 (define @t772 () (tptp.c_RComplete_Onatceiling @t24)) % 1.12/1.35 (define @t773 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t7)) % 1.12/1.35 (define @t774 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t24)) % 1.12/1.35 (define @t775 () (tptp.c_RComplete_Onatfloor @t24)) % 1.12/1.35 (define @t776 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t51)) % 1.12/1.35 (define @t777 () (tptp.c_RComplete_Onatfloor @t46)) % 1.12/1.35 (define @t778 () (tptp.c_RComplete_Onatceiling @t46)) % 1.12/1.35 (define @t779 () (tptp.c_RComplete_Onatfloor @t16)) % 1.12/1.35 (define @t780 () (@list @t15 @t16)) % 1.12/1.35 (define @t781 () (tptp.hAPP @t617 @t583)) % 1.12/1.35 (define @t782 () (tptp.c_Polynomial_Opcompose @t11 @t571 @t569)) % 1.12/1.35 (define @t783 () (= @t282 @t594)) % 1.12/1.35 (define @t784 () (= @t52 @t594)) % 1.12/1.35 (define @t785 () (= @t601 @t594)) % 1.12/1.35 (define @t786 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t699)) % 1.12/1.35 (define @t787 () (@list @t60 @t38 @t24)) % 1.12/1.35 (define @t788 () (@var "V_r2" $$unsorted)) % 1.12/1.35 (define @t789 () (@var "V_r1" $$unsorted)) % 1.12/1.35 (define @t790 () (= @t789 @t788)) % 1.12/1.35 (define @t791 () (@var "V_q2" $$unsorted)) % 1.12/1.35 (define @t792 () (@var "V_q1" $$unsorted)) % 1.12/1.35 (define @t793 () (= @t792 @t791)) % 1.12/1.35 (define @t794 () (tptp.c_Polynomial_Opdivmod__rel @t11 @t24 @t60 @t791 @t788)) % 1.12/1.35 (define @t795 () (tptp.c_Polynomial_Opdivmod__rel @t11 @t24 @t60 @t792 @t789)) % 1.12/1.35 (define @t796 () (@list @t788 @t791 @t789 @t792 @t60 @t24 @t11)) % 1.12/1.35 (define @t797 () (@var "V_r_H" $$unsorted)) % 1.12/1.35 (define @t798 () (tptp.hAPP @t579 @t60)) % 1.12/1.35 (define @t799 () (@var "V_q_H" $$unsorted)) % 1.12/1.35 (define @t800 () (tptp.hAPP @t798 @t38)) % 1.12/1.35 (define @t801 () (tptp.c_Polynomial_Opdivmod__rel @t11 @t24 @t60 @t569 @t138)) % 1.12/1.35 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t699)) % 1.12/1.35 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t60)) % 1.12/1.35 (define @t804 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t434)) % 1.12/1.35 (define @t805 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t804 @t7)) % 1.12/1.35 (define @t806 () (@list @t24 @t434)) % 1.12/1.35 (define @t807 () (@var "B_i" $$unsorted)) % 1.12/1.35 (define @t808 () (tptp.hAPP @t674 @t807)) % 1.12/1.35 (define @t809 () (tptp.hBOOL @t808)) % 1.12/1.35 (define @t810 () (@list @t807)) % 1.12/1.35 (define @t811 () (tptp.hBOOL @t675)) % 1.12/1.35 (define @t812 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t630)) % 1.12/1.35 (define @t813 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t624)) % 1.12/1.35 (define @t814 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t24)) % 1.12/1.35 (define @t815 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t624 @t630)) % 1.12/1.35 (define @t816 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t435)) % 1.12/1.35 (define @t817 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t775)) % 1.12/1.35 (define @t818 () (@list @t16 @t24)) % 1.12/1.35 (define @t819 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t16)) % 1.12/1.35 (define @t820 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t31)) % 1.12/1.35 (define @t821 () (@list @t31 @t46)) % 1.12/1.35 (define @t822 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t819)) % 1.12/1.35 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t819 @t24)) % 1.12/1.35 (define @t824 () (@list @t24 @t16)) % 1.12/1.35 (define @t825 () (@list @t434 @t24)) % 1.12/1.35 (define @t826 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t819)) % 1.12/1.35 (define @t827 () (@list @t434 @t38)) % 1.12/1.35 (define @t828 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t829 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t643 @t642)) % 1.12/1.35 (define @t830 () (= @t829 @t828)) % 1.12/1.35 (define @t831 () (= @t42 @t597)) % 1.12/1.35 (define @t832 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t804 @t814)) % 1.12/1.35 (define @t833 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t434 @t24))) % 1.12/1.35 (define @t834 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t832 @t833)) % 1.12/1.35 (define @t835 () (@var "B_j" $$unsorted)) % 1.12/1.35 (define @t836 () (= @t624 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t664 @t807) @t835))) % 1.12/1.35 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t835 @t612)) % 1.12/1.35 (define @t838 () (@list @t807 @t835)) % 1.12/1.35 (define @t839 () (not @t657)) % 1.12/1.35 (define @t840 () (@list @t612 @t624 @t674)) % 1.12/1.35 (define @t841 () (tptp.class_Divides_Osemiring__div @t11)) % 1.12/1.35 (define @t842 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t16 @t15)) % 1.12/1.35 (define @t843 () (tptp.hAPP @t617 @t15)) % 1.12/1.35 (define @t844 () (tptp.hAPP @t843 @t75)) % 1.12/1.35 (define @t845 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t16 @t15)) % 1.12/1.35 (define @t846 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t363 @t362)) % 1.12/1.35 (define @t847 () (=> @t360 (= @t846 @t845))) % 1.12/1.35 (define @t848 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t75 @t845)) % 1.12/1.35 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t362)) % 1.12/1.35 (define @t850 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t301)) % 1.12/1.35 (define @t851 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t845 @t12)) % 1.12/1.35 (define @t852 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t230)) % 1.12/1.35 (define @t853 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t230)) % 1.12/1.35 (define @t854 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t15 @t75)) % 1.12/1.35 (define @t855 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t15 @t75)) % 1.12/1.35 (define @t856 () (tptp.c_Divides_Odiv__class_Omod @t11 @t16 @t15)) % 1.12/1.35 (define @t857 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t858 () (= @t857 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t644 @t434))) % 1.12/1.35 (define @t859 () (=> @t741 @t858)) % 1.12/1.35 (define @t860 () (=> @t687 (= @t857 @t435))) % 1.12/1.35 (define @t861 () (@list @t28 @t630)) % 1.12/1.35 (define @t862 () (tptp.c_Divides_Odiv__class_Omod @t11 @t17 @t75)) % 1.12/1.35 (define @t863 () (tptp.c_Divides_Odiv__class_Omod @t11 @t15 @t75)) % 1.12/1.35 (define @t864 () (= @t863 (tptp.c_Divides_Odiv__class_Omod @t11 @t335 @t75))) % 1.12/1.35 (define @t865 () (tptp.c_Divides_Odiv__class_Omod @t11 @t16 @t75)) % 1.12/1.35 (define @t866 () (= @t865 (tptp.c_Divides_Odiv__class_Omod @t11 @t326 @t75))) % 1.12/1.35 (define @t867 () (tptp.class_Divides_Oring__div @t11)) % 1.12/1.35 (define @t868 () (@list @t335 @t15 @t326 @t75 @t16 @t11)) % 1.12/1.35 (define @t869 () (tptp.c_Divides_Odiv__class_Omod @t11 @t303 @t75)) % 1.12/1.35 (define @t870 () (tptp.hAPP @t290 @t865)) % 1.12/1.35 (define @t871 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t870 @t15) @t75)) % 1.12/1.35 (define @t872 () (tptp.c_Divides_Odiv__class_Omod @t11 @t122 @t75)) % 1.12/1.35 (define @t873 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t865 @t15) @t75)) % 1.12/1.35 (define @t874 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t863) @t75)) % 1.12/1.35 (define @t875 () (tptp.c_Divides_Odiv__class_Odiv @t567 @t24 @t60)) % 1.12/1.35 (define @t876 () (@list @t138 @t569 @t60 @t24 @t11)) % 1.12/1.35 (define @t877 () (tptp.hAPP (tptp.hAPP @t290 @t845) @t15)) % 1.12/1.35 (define @t878 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t877 @t856)) % 1.12/1.35 (define @t879 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t300 @t845) @t856)) % 1.12/1.35 (define @t880 () (tptp.hAPP @t617 @t16)) % 1.12/1.35 (define @t881 () (tptp.hAPP (tptp.hAPP @t617 @t828) @t434)) % 1.12/1.35 (define @t882 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t857)) % 1.12/1.35 (define @t883 () (tptp.c_Polynomial_Odegree @t11 @t60)) % 1.12/1.35 (define @t884 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t24) @t883)) % 1.12/1.35 (define @t885 () (tptp.hBOOL (tptp.hAPP @t674 @t835))) % 1.12/1.35 (define @t886 () (@list @t569 @t15 @t138 @t75)) % 1.12/1.35 (define @t887 () (tptp.c_Divides_Odiv__class_Omod @t567 @t24 @t60)) % 1.12/1.35 (define @t888 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (define @t889 () (@var "V_M_2" $$unsorted)) % 1.12/1.35 (define @t890 () (@var "V_X_2" $$unsorted)) % 1.12/1.35 (define @t891 () (tptp.hAPP @t890 @t889)) % 1.12/1.35 (define @t892 () (tptp.hAPP @t890 @t611)) % 1.12/1.35 (define @t893 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t889 @t611)) % 1.12/1.35 (define @t894 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t30 @t31)) % 1.12/1.35 (define @t895 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t31 @t30)) % 1.12/1.35 (define @t896 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t15 @t16)) % 1.12/1.35 (define @t897 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t15)) % 1.12/1.35 (define @t898 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t75 @t15)) % 1.12/1.35 (define @t899 () (tptp.hAPP @t290 @t896)) % 1.12/1.35 (define @t900 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t24 @t60)) % 1.12/1.35 (define @t901 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t60 @t24)) % 1.12/1.35 (define @t902 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t42 @t435)) % 1.12/1.35 (define @t903 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t42 @t434)) % 1.12/1.35 (define @t904 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t42 (tptp.c_Divides_Odiv__class_Omod @t11 @t435 @t434))) % 1.12/1.35 (define @t905 () (@list @t434 @t435 @t42 @t11)) % 1.12/1.35 (define @t906 () (or @t349 @t895)) % 1.12/1.35 (define @t907 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t75)) % 1.12/1.35 (define @t908 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t630 @t612)) % 1.12/1.35 (define @t909 () (@list @t612 @t630 @t11)) % 1.12/1.35 (define @t910 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t15 @t75)) % 1.12/1.35 (define @t911 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t301)) % 1.12/1.35 (define @t912 () (tptp.class_Rings_Odvd @t11)) % 1.12/1.35 (define @t913 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t303 @t75)) % 1.12/1.35 (define @t914 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t24 @t60)) % 1.12/1.35 (define @t915 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t42 @t644)) % 1.12/1.35 (define @t916 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t42 @t434)) % 1.12/1.35 (define @t917 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t42 @t435)) % 1.12/1.35 (define @t918 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t60)) % 1.12/1.35 (define @t919 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t24)) % 1.12/1.35 (define @t920 () (and @t918 (not @t919))) % 1.12/1.35 (define @t921 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t38)) % 1.12/1.35 (define @t922 () (and @t921 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t38 @t24)))) % 1.12/1.35 (define @t923 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t38)) % 1.12/1.35 (define @t924 () (=> (and @t923 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t38 @t60))) @t922)) % 1.12/1.35 (define @t925 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t16 @t15)) % 1.12/1.35 (define @t926 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t15 @t16)) % 1.12/1.35 (define @t927 () (and @t925 (not @t926))) % 1.12/1.35 (define @t928 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t16 @t75)) % 1.12/1.35 (define @t929 () (and @t928 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t75 @t16)))) % 1.12/1.35 (define @t930 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t15 @t75)) % 1.12/1.35 (define @t931 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t434 @t435)) % 1.12/1.35 (define @t932 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t435 @t434)) % 1.12/1.35 (define @t933 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t46 @t52)) % 1.12/1.35 (define @t934 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t52 @t46)) % 1.12/1.35 (define @t935 () (and @t933 (not @t934))) % 1.12/1.35 (define @t936 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t630 @t624)) % 1.12/1.35 (define @t937 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t666 @t665)) % 1.12/1.35 (define @t938 () (@var "V_t_2" $$unsorted)) % 1.12/1.35 (define @t939 () (@var "V_D_2" $$unsorted)) % 1.12/1.35 (define @t940 () (tptp.class_Rings_Osemiring__0 @t11)) % 1.12/1.35 (define @t941 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.35 (define @t942 () (tptp.c_Power_Opower__class_Opower @t11)) % 1.12/1.35 (define @t943 () (tptp.hAPP @t942 @t60)) % 1.12/1.35 (define @t944 () (tptp.hAPP @t943 @t434)) % 1.12/1.35 (define @t945 () (tptp.hAPP @t942 @t24)) % 1.12/1.35 (define @t946 () (tptp.hAPP @t945 @t434)) % 1.12/1.35 (define @t947 () (tptp.hAPP @t945 @t569)) % 1.12/1.35 (define @t948 () (tptp.hAPP @t617 @t571)) % 1.12/1.35 (define @t949 () (tptp.hAPP @t945 @t571)) % 1.12/1.35 (define @t950 () (@list @t569 @t571 @t24 @t11)) % 1.12/1.35 (define @t951 () (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t567) @t571) @t434)) % 1.12/1.35 (define @t952 () (tptp.hAPP (tptp.hAPP @t941 @t237) @t434)) % 1.12/1.35 (define @t953 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t946)) % 1.12/1.35 (define @t954 () (@list @t434 @t24 @t11)) % 1.12/1.35 (define @t955 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t615)) % 1.12/1.35 (define @t956 () (tptp.hAPP @t942 @t435)) % 1.12/1.35 (define @t957 () (tptp.hAPP @t956 @t434)) % 1.12/1.35 (define @t958 () (tptp.class_Power_Opower @t11)) % 1.12/1.35 (define @t959 () (@list @t24 @t434 @t11)) % 1.12/1.35 (define @t960 () (tptp.hAPP (tptp.hAPP @t942 @t15) @t434)) % 1.12/1.35 (define @t961 () (tptp.hAPP @t942 @t16)) % 1.12/1.35 (define @t962 () (tptp.hAPP @t961 @t434)) % 1.12/1.35 (define @t963 () (tptp.c_Orderings_Oord__class_Oless @t11 @t962 @t960)) % 1.12/1.35 (define @t964 () (@list @t434 @t15 @t16 @t11)) % 1.12/1.35 (define @t965 () (tptp.hAPP @t961 @t435)) % 1.12/1.35 (define @t966 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.12/1.35 (define @t967 () (@list @t30 @t31 @t624)) % 1.12/1.35 (define @t968 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.12/1.35 (define @t969 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t16 @t15)) % 1.12/1.35 (define @t970 () (@list @t15 @t434 @t16)) % 1.12/1.35 (define @t971 () (tptp.hAPP @t968 @t43)) % 1.12/1.35 (define @t972 () (tptp.hAPP @t971 @t434)) % 1.12/1.35 (define @t973 () (tptp.hAPP @t971 @t435)) % 1.12/1.35 (define @t974 () (@list @t434 @t435 @t43)) % 1.12/1.35 (define @t975 () (tptp.hAPP @t966 @t24)) % 1.12/1.35 (define @t976 () (tptp.hAPP @t975 @t60)) % 1.12/1.35 (define @t977 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.12/1.35 (define @t978 () (@list @t624 @t46)) % 1.12/1.35 (define @t979 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.12/1.35 (define @t980 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t46)) % 1.12/1.35 (define @t981 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t968 @t435) @t434))) % 1.12/1.35 (define @t982 () (tptp.hAPP (tptp.hAPP @t941 @t816) @t434)) % 1.12/1.35 (define @t983 () (tptp.hAPP @t968 @t571)) % 1.12/1.35 (define @t984 () (tptp.hAPP @t983 @t435)) % 1.12/1.35 (define @t985 () (@list @t434 @t16 @t11)) % 1.12/1.35 (define @t986 () (tptp.hAPP @t290 @t962)) % 1.12/1.35 (define @t987 () (tptp.hAPP @t302 @t962)) % 1.12/1.35 (define @t988 () (@list @t434 @t11)) % 1.12/1.35 (define @t989 () (= (tptp.hAPP (tptp.hAPP @t942 @t180) @t434) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t962 @t960))) % 1.12/1.35 (define @t990 () (@list @t434 @t435 @t16 @t11)) % 1.12/1.35 (define @t991 () (tptp.hAPP (tptp.hAPP @t942 @t140) @t434)) % 1.12/1.35 (define @t992 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t16)) % 1.12/1.35 (define @t993 () (tptp.hAPP @t942 @t31)) % 1.12/1.35 (define @t994 () (tptp.hAPP @t993 @t624)) % 1.12/1.35 (define @t995 () (@list @t15 @t434 @t16 @t11)) % 1.12/1.35 (define @t996 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t16)) % 1.12/1.35 (define @t997 () (tptp.hAPP (tptp.hAPP @t942 @t136) @t434)) % 1.12/1.35 (define @t998 () (@var "V_N" $$unsorted)) % 1.12/1.35 (define @t999 () (tptp.hAPP @t961 @t998)) % 1.12/1.35 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t434 @t998)) % 1.12/1.35 (define @t1001 () (@list @t16 @t998 @t434 @t11)) % 1.12/1.35 (define @t1002 () (tptp.hAPP @t942 @t30)) % 1.12/1.35 (define @t1003 () (tptp.hAPP @t1002 @t52)) % 1.12/1.35 (define @t1004 () (tptp.hAPP @t1002 @t46)) % 1.12/1.35 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t30)) % 1.12/1.35 (define @t1006 () (@list @t52 @t46 @t30 @t11)) % 1.12/1.35 (define @t1007 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t998)) % 1.12/1.35 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t12)) % 1.12/1.35 (define @t1009 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t24)) % 1.12/1.35 (define @t1010 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t435 @t434)) % 1.12/1.35 (define @t1011 () (tptp.hAPP (tptp.hAPP @t977 @t434) @t1010)) % 1.12/1.35 (define @t1012 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t434 @t435)) % 1.12/1.35 (define @t1013 () (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t42 @t434) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t42 @t435))) % 1.12/1.35 (define @t1014 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t435 @t434)) % 1.12/1.35 (define @t1015 () (@var "V_f" $$unsorted)) % 1.12/1.35 (define @t1016 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t435 @t434)) % 1.12/1.35 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t435)) % 1.12/1.35 (define @t1018 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.12/1.35 (define @t1019 () (tptp.hAPP @t977 @t42)) % 1.12/1.35 (define @t1020 () (tptp.hAPP @t977 @t612)) % 1.12/1.35 (define @t1021 () (tptp.hAPP @t1020 @t630)) % 1.12/1.35 (define @t1022 () (= @t612 @t979)) % 1.12/1.35 (define @t1023 () (@list @t16)) % 1.12/1.35 (define @t1024 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t16 @t15)) % 1.12/1.35 (define @t1025 () (= @t624 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1020 @t807) @t835))) % 1.12/1.35 (define @t1026 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t612 @t835) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t835 @t979) @t1025)) % 1.12/1.35 (define @t1027 () (@list @t835)) % 1.12/1.35 (define @t1028 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t612 @t979)) % 1.12/1.35 (define @t1029 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t835) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t835 @t612) @t1025)) % 1.12/1.35 (define @t1030 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 @t612)) % 1.12/1.35 (define @t1031 () (tptp.hAPP @t674 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t624 @t612))) % 1.12/1.35 (define @t1032 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t15)) % 1.12/1.35 (define @t1033 () (tptp.hAPP @t977 @t15)) % 1.12/1.35 (define @t1034 () (tptp.hAPP @t1033 @t75)) % 1.12/1.35 (define @t1035 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 @t75)) % 1.12/1.35 (define @t1036 () (@list @t15 @t16 @t75)) % 1.12/1.35 (define @t1037 () (tptp.hBOOL (tptp.hAPP @t808 @t835))) % 1.12/1.35 (define @t1038 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t624 @t612)) % 1.12/1.35 (define @t1039 () (tptp.hBOOL (tptp.hAPP @t1031 @t1038))) % 1.12/1.35 (define @t1040 () (@list @t624 @t674 @t612)) % 1.12/1.35 (define @t1041 () (@var "V_b_1" $$unsorted)) % 1.12/1.35 (define @t1042 () (@var "V_a_1" $$unsorted)) % 1.12/1.35 (define @t1043 () (not (= @t1041 @t979))) % 1.12/1.35 (define @t1044 () (@var "V_r_1" $$unsorted)) % 1.12/1.35 (define @t1045 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 @t1041)) % 1.12/1.35 (define @t1046 () (not @t1045)) % 1.12/1.35 (define @t1047 () (tptp.hAPP @t977 @t1041)) % 1.12/1.35 (define @t1048 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1033 @t1032) @t1024)) % 1.12/1.35 (define @t1049 () (tptp.hAPP @t977 @t16)) % 1.12/1.35 (define @t1050 () (tptp.hAPP @t1049 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t15 @t75))) % 1.12/1.35 (define @t1051 () (tptp.hAPP @t1049 @t15)) % 1.12/1.35 (define @t1052 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t16 @t42)) % 1.12/1.35 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t60)) % 1.12/1.35 (define @t1054 () (@var "V_q_1" $$unsorted)) % 1.12/1.35 (define @t1055 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1033 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t569 @t75)) @t138)) % 1.12/1.35 (define @t1056 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t138 @t979)) % 1.12/1.35 (define @t1057 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t138)) % 1.12/1.35 (define @t1058 () (@list @t569 @t138 @t15 @t75)) % 1.12/1.35 (define @t1059 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t138 @t15)) % 1.12/1.35 (define @t1060 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t138)) % 1.12/1.35 (define @t1061 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1051 @t75)) % 1.12/1.35 (define @t1062 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1050 @t75)) % 1.12/1.35 (define @t1063 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t1024)) % 1.12/1.35 (define @t1064 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 @t15)) % 1.12/1.35 (define @t1065 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1024 @t15)) % 1.12/1.35 (define @t1066 () (= @t1024 @t16)) % 1.12/1.35 (define @t1067 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t1024)) % 1.12/1.35 (define @t1068 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t979)) % 1.12/1.35 (define @t1069 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1024 @t979)) % 1.12/1.35 (define @t1070 () (@var "T_1" $$unsorted)) % 1.12/1.35 (define @t1071 () (tptp.tc_Polynomial_Opoly @t1070)) % 1.12/1.35 (define @t1072 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1070)) % 1.12/1.35 (define @t1073 () (@list @t1070)) % 1.12/1.35 (define @t1074 () (@var "T_2" $$unsorted)) % 1.12/1.35 (define @t1075 () (tptp.tc_fun @t1074 @t1070)) % 1.12/1.35 (define @t1076 () (@list @t1074 @t1070)) % 1.12/1.35 (define @t1077 () (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.12/1.35 (define @t1078 () (tptp.class_Rings_Oidom @t1070)) % 1.12/1.35 (define @t1079 () (tptp.class_Rings_Olinordered__idom @t1070)) % 1.12/1.35 (define @t1080 () (tptp.class_Rings_Ocomm__semiring__0 @t1070)) % 1.12/1.35 (define @t1081 () (tptp.class_Rings_Ocomm__semiring__1 @t1070)) % 1.12/1.35 (define @t1082 () (tptp.class_Groups_Ocomm__monoid__add @t1070)) % 1.12/1.35 (define @t1083 () (tptp.class_Fields_Ofield @t1070)) % 1.12/1.35 (define @t1084 () (tptp.class_Groups_Oab__group__add @t1070)) % 1.12/1.35 (define @t1085 () (tptp.class_Rings_Ocomm__ring__1 @t1070)) % 1.12/1.35 (define @t1086 () (tptp.class_Rings_Ocomm__ring @t1070)) % 1.12/1.35 (define @t1087 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t9 @t7)) % 1.12/1.35 (define @t1088 () (not @t25)) % 1.12/1.35 (define @t1089 () (not @t85)) % 1.12/1.35 (define @t1090 () (or @t67 @t1089 @t84)) % 1.12/1.35 (define @t1091 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 @t7)) % 1.12/1.35 (define @t1092 () (not @t8)) % 1.12/1.35 (define @t1093 () (not @t10)) % 1.12/1.35 (define @t1094 () (not @t1077)) % 1.12/1.35 (define @t1095 () (or @t1094 @t1093 @t1092 @t1091)) % 1.12/1.35 (define @t1096 () (not @t1091)) % 1.12/1.35 (define @t1097 () (or @t1094 @t1096 @t1087)) % 1.12/1.35 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.12/1.35 (assume @p2 (not (= tptp.v_w____ tptp.v_z))) % 1.12/1.35 (assume @p3 @t8) % 1.12/1.35 (assume @p4 @t10) % 1.12/1.35 (assume @p5 (forall @t14 (=> @t13 (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t12) @t7)))) % 1.12/1.35 (assume @p6 (forall @t23 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t18)))) % 1.12/1.35 (assume @p7 (forall @t26 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t24)))) % 1.12/1.35 (assume @p8 (forall @t23 (=> @t22 (= @t18 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t27))))) % 1.12/1.35 (assume @p9 (forall @t36 (=> @t35 (=> @t34 (= @t32 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t29 @t28)))))) % 1.12/1.35 (assume @p10 (forall (@list @t37) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t37))) % 1.12/1.35 (assume @p11 (forall @t41 (or @t40 @t39))) % 1.12/1.35 (assume @p12 (forall @t45 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 @t42) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 @t42))))) % 1.12/1.35 (assume @p13 (forall @t41 (=> @t40 (=> @t39 (= @t38 @t37))))) % 1.12/1.35 (assume @p14 (forall @t47 (=> (tptp.class_Groups_Oone @t11) (= (= @t12 @t46) (= @t46 @t12))))) % 1.12/1.35 (assume @p15 (forall (@list @t46 @t48 @t49 @t50 @t11) (=> (tptp.class_Groups_Ominus @t11) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun @t50 @t11) @t49 @t48) @t46) (tptp.c_Groups_Ominus__class_Ominus @t11 (tptp.hAPP @t49 @t46) (tptp.hAPP @t48 @t46)))))) % 1.12/1.35 (assume @p16 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_d____ @t7)) % 1.12/1.35 (assume @p17 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 tptp.v_da____)) % 1.12/1.35 (assume @p18 (forall @t26 (=> @t25 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t24))))) % 1.12/1.35 (assume @p19 (forall @t58 (=> @t57 (= @t56 (or @t54 @t53))))) % 1.12/1.35 (assume @p20 (forall @t58 (=> @t57 (= @t59 (or @t53 @t55))))) % 1.12/1.35 (assume @p21 (forall @t64 (=> @t57 (or @t63 @t62 @t61)))) % 1.12/1.35 (assume @p22 (forall @t66 (=> @t57 (=> (not @t53) @t65)))) % 1.12/1.35 (assume @p23 (forall @t64 (=> @t57 @t69))) % 1.12/1.35 (assume @p24 (forall @t64 (=> @t70 (=> @t63 @t68)))) % 1.12/1.35 (assume @p25 (forall @t64 (=> @t25 (=> @t63 (not @t61))))) % 1.12/1.35 (assume @p26 (forall @t64 (=> @t70 (=> @t63 @t71)))) % 1.12/1.35 (assume @p27 (forall @t23 (=> @t25 (=> @t73 (not @t72))))) % 1.12/1.35 (assume @p28 (forall @t74 (=> @t70 (=> @t72 (not @t73))))) % 1.12/1.35 (assume @p29 (forall @t80 (=> @t79 (=> @t78 (=> @t77 @t76))))) % 1.12/1.35 (assume @p30 (forall @t80 (=> @t70 (=> @t78 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t75 @t15) @t81))))) % 1.12/1.35 (assume @p31 (forall @t80 (=> @t79 (=> @t73 (=> @t82 @t76))))) % 1.12/1.35 (assume @p32 (forall @t83 (=> @t70 (=> @t72 (=> @t82 @t81))))) % 1.12/1.35 (assume @p33 @t89) % 1.12/1.35 (assume @p34 (forall @t92 (=> @t70 (=> @t61 @t91)))) % 1.12/1.35 (assume @p35 (forall @t64 (=> @t57 (=> @t67 (=> @t68 @t61))))) % 1.12/1.35 (assume @p36 (forall @t92 (=> @t70 (=> @t93 @t91)))) % 1.12/1.35 (assume @p37 (forall @t88 (=> @t25 (=> @t94 @t86)))) % 1.12/1.35 (assume @p38 (forall @t92 (=> @t70 (=> @t61 (=> @t95 @t90))))) % 1.12/1.35 (assume @p39 (forall @t88 (=> @t25 (=> @t63 (=> @t96 @t84))))) % 1.12/1.35 (assume @p40 (forall @t74 (=> @t70 (=> @t98 (=> @t97 @t72))))) % 1.12/1.35 (assume @p41 (forall @t23 (=> @t70 (=> @t99 (=> @t97 @t73))))) % 1.12/1.35 (assume @p42 (forall @t64 (=> @t70 (=> @t94 (or @t63 @t62))))) % 1.12/1.35 (assume @p43 (forall @t58 (=> @t57 (=> @t100 @t65)))) % 1.12/1.35 (assume @p44 @t102) % 1.12/1.35 (assume @p45 (forall @t103 (=> @t57 (=> @t93 @t67)))) % 1.12/1.35 (assume @p46 (forall @t23 (=> @t70 (=> @t97 (=> @t98 @t72))))) % 1.12/1.35 (assume @p47 (forall @t23 (=> @t70 (=> @t97 (=> @t99 @t73))))) % 1.12/1.35 (assume @p48 (forall @t58 (=> @t57 (=> @t59 @t104)))) % 1.12/1.35 (assume @p49 (forall @t103 (=> @t57 (=> (not @t93) @t63)))) % 1.12/1.35 (assume @p50 (forall @t64 (=> @t57 (=> @t67 @t93)))) % 1.12/1.35 (assume @p51 (forall @t58 (=> @t70 (= @t100 (or @t54 @t55))))) % 1.12/1.35 (assume @p52 (forall @t58 (=> @t25 (= @t54 (and @t100 (not @t105)))))) % 1.12/1.35 (assume @p53 (forall @t58 (=> @t70 (= @t54 (and @t100 @t56))))) % 1.12/1.35 (assume @p54 (forall @t64 (=> @t57 (or @t94 @t61)))) % 1.12/1.35 (assume @p55 (forall @t58 (=> @t57 (= (not @t100) @t53)))) % 1.12/1.35 (assume @p56 (forall @t58 (=> @t57 (= @t59 @t105)))) % 1.12/1.35 (assume @p57 (forall @t36 (=> @t35 (=> @t34 (= @t106 (tptp.c_Orderings_Oord__class_Oless @t11 @t29 @t28)))))) % 1.12/1.35 (assume @p58 (forall @t109 (= @t108 (or @t107 @t55)))) % 1.12/1.35 (assume @p59 (forall @t109 (= @t107 (and @t108 @t56)))) % 1.12/1.35 (assume @p60 (forall @t64 (=> @t57 (=> (not @t94) @t93)))) % 1.12/1.35 (assume @p61 (forall (@list @t46 @t1 @t2 @t11 @t50) (=> @t112 (=> @t111 (tptp.c_Orderings_Oord__class_Oless__eq @t50 (tptp.hAPP @t2 @t46) (tptp.hAPP @t1 @t46)))))) % 1.12/1.35 (assume @p62 (forall @t92 (=> @t70 (=> @t93 (=> @t95 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t38 @t24)))))) % 1.12/1.35 (assume @p63 (forall @t103 (=> @t70 (=> @t93 (=> @t94 @t62))))) % 1.12/1.35 (assume @p64 (forall @t88 (=> @t25 (=> @t94 (=> @t96 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t38)))))) % 1.12/1.35 (assume @p65 (forall @t64 (=> @t70 (=> @t94 (=> @t93 @t62))))) % 1.12/1.35 (assume @p66 (forall @t83 (=> @t70 (=> @t98 (=> @t82 @t113))))) % 1.12/1.35 (assume @p67 (forall @t80 (=> @t79 (=> @t99 (=> @t82 @t114))))) % 1.12/1.35 (assume @p68 (forall @t80 (=> @t70 (=> @t78 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t75 @t15) @t113))))) % 1.12/1.35 (assume @p69 (forall @t80 (=> @t79 (=> @t78 (=> @t115 @t114))))) % 1.12/1.35 (assume @p70 (forall @t66 (=> @t70 (=> @t105 @t104)))) % 1.12/1.35 (assume @p71 (forall @t64 (=> @t25 (=> @t62 @t94)))) % 1.12/1.35 (assume @p72 (forall @t58 (=> @t70 (= @t55 (and @t100 @t105))))) % 1.12/1.35 (assume @p73 (forall @t64 (=> @t57 (or @t94 @t93)))) % 1.12/1.35 (assume @p74 (forall @t116 (=> @t112 (= @t111 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t5 @t4)))))) % 1.12/1.35 (assume @p75 (forall @t36 (=> @t119 (=> @t34 (= @t118 @t117))))) % 1.12/1.35 (assume @p76 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t7)) % 1.12/1.35 (assume @p77 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_da____ @t120)) % 1.12/1.35 (assume @p78 (forall @t23 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t21) @t18)))) % 1.12/1.35 (assume @p79 (forall @t109 (= @t107 (tptp.c_RealDef_Opositive (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t52 @t46))))) % 1.12/1.35 (assume @p80 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 tptp.v_d____)) % 1.12/1.35 (assume @p81 (forall @t64 (=> @t121 @t69))) % 1.12/1.35 (assume @p82 (forall @t23 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t122))))) % 1.12/1.35 (assume @p83 (forall @t23 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t20 @t19))))) % 1.12/1.35 (assume @p84 (forall (@list @t38 @t60 @t11) (=> @t123 (=> (forall @t6 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t3 @t60) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t3 @t38))) @t96)))) % 1.12/1.35 (assume @p85 (forall @t88 (=> @t123 (=> @t63 (=> (forall @t125 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t124) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t124 @t60) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t124 @t38)))) @t96))))) % 1.12/1.35 (assume @p86 (forall @t134 (=> @t133 (=> @t132 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t29 @t131) (=> (forall @t130 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t128 @t3) (tptp.c_Orderings_Oord__class_Oless @t50 @t129 @t5))) @t127)))))) % 1.12/1.35 (assume @p87 (forall @t134 (=> @t133 (=> @t135 (=> (tptp.c_Orderings_Oord__class_Oless @t50 @t29 @t131) (=> (forall @t130 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t128 @t3) (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t129 @t5))) @t127)))))) % 1.12/1.35 (assume @p88 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 tptp.v_m____)) % 1.12/1.35 (assume @p89 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 tptp.v_e)) % 1.12/1.35 (assume @p90 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_d____ @t120)) % 1.12/1.35 (assume @p91 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t120)) % 1.12/1.35 (assume @p92 (not (tptp.c_RealDef_Opositive @t51))) % 1.12/1.35 (assume @p93 (forall @t14 (=> @t137 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t136) @t136)))) % 1.12/1.35 (assume @p94 (forall @t139 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t138) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t138)))) % 1.12/1.35 (assume @p95 (forall @t141 (=> @t137 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t140) @t140)))) % 1.12/1.35 (assume @p96 (forall @t23 (=> @t137 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t143) @t143)))) % 1.12/1.35 (assume @p97 (forall @t145 (=> @t144 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t136 @t60) @t136)))) % 1.12/1.35 (assume @p98 (forall @t141 (=> @t147 @t146))) % 1.12/1.35 (assume @p99 (forall @t141 (=> @t148 @t146))) % 1.12/1.35 (assume @p100 (forall @t47 (=> @t150 (= (= @t136 @t46) @t149)))) % 1.12/1.35 (assume @p101 (forall @t154 (=> @t153 (= (= @t136 @t152) @t151)))) % 1.12/1.35 (assume @p102 (forall @t141 (=> @t147 @t155))) % 1.12/1.35 (assume @p103 (forall @t141 (=> @t148 @t155))) % 1.12/1.35 (assume @p104 (forall @t116 (=> @t112 (= (tptp.c_Orderings_Oord__class_Oless @t110 @t2 @t1) (and @t111 (not (tptp.c_Orderings_Oord__class_Oless__eq @t110 @t1 @t2))))))) % 1.12/1.35 (assume @p105 (forall @t141 (=> @t160 (and (=> @t157 (= @t156 @t136)) @t159)))) % 1.12/1.35 (assume @p106 (forall @t154 (=> @t137 (= (= @t161 @t136) @t151)))) % 1.12/1.35 (assume @p107 (forall @t80 (=> (tptp.class_Groups_Oab__semigroup__add @t11) @t164))) % 1.12/1.35 (assume @p108 (forall @t169 (=> @t144 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t168 @t165) (tptp.c_Groups_Oplus__class_Oplus @t11 @t167 @t166))))) % 1.12/1.35 (assume @p109 (forall @t173 (=> @t172 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t31 @t30) @t171) @t170)))) % 1.12/1.35 (assume @p110 (forall (@list @t29 @t31 @t30 @t11) (=> @t172 (= (= @t175 @t174) @t170)))) % 1.12/1.35 (assume @p111 (forall @t179 (=> @t178 (=> @t177 (tptp.c_RealDef_Opositive @t176))))) % 1.12/1.35 (assume @p112 (forall @t74 (=> @t144 (=> @t183 @t181)))) % 1.12/1.35 (assume @p113 (forall @t141 (=> @t184 @t159))) % 1.12/1.35 (assume @p114 (forall @t187 (=> @t184 (=> (not @t186) (= (= @t185 @t12) @t118))))) % 1.12/1.35 (assume @p115 (forall @t80 (=> @t192 (=> @t191 @t190)))) % 1.12/1.35 (assume @p116 (forall @t80 (=> @t172 @t193))) % 1.12/1.35 (assume @p117 (forall @t80 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t11) @t193))) % 1.12/1.35 (assume @p118 (forall @t83 (=> @t172 (=> (= @t195 @t194) @t82)))) % 1.12/1.35 (assume @p119 (forall @t80 (=> @t184 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t122 @t75) (tptp.c_Groups_Oplus__class_Oplus @t11 @t197 @t196))))) % 1.12/1.35 (assume @p120 (forall @t141 (=> @t160 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t136) @t136)))) % 1.12/1.35 (assume @p121 (forall @t141 (=> @t184 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t136 @t16) @t136)))) % 1.12/1.35 (assume @p122 (forall @t23 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t122) @t143)))) % 1.12/1.35 (assume @p123 (forall @t141 (=> @t137 (=> @t199 @t198)))) % 1.12/1.35 (assume @p124 (forall @t154 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t161 @t136) @t151)))) % 1.12/1.35 (assume @p125 (forall @t141 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t140)))) % 1.12/1.35 (assume @p126 (forall @t141 (=> @t137 (=> @t191 @t198)))) % 1.12/1.35 (assume @p127 (forall @t154 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t161) @t200)))) % 1.12/1.35 (assume @p128 (forall @t141 (=> @t137 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t140 @t136))))) % 1.12/1.35 (assume @p129 (forall @t23 (=> @t203 (=> @t202 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t122 @t136)))))) % 1.12/1.35 (assume @p130 (forall @t206 (=> @t203 (=> @t205 (=> @t98 @t204))))) % 1.12/1.35 (assume @p131 (forall @t80 (=> @t203 (=> @t199 (=> @t115 @t204))))) % 1.12/1.35 (assume @p132 (forall @t58 (=> @t203 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t46) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t52) (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t52) @t136) @t208)))))) % 1.12/1.35 (assume @p133 (forall @t23 (=> @t203 (=> @t199 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t122)))))) % 1.12/1.35 (assume @p134 (forall @t154 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t152 @t136) @t210)))) % 1.12/1.35 (assume @p135 (forall @t154 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t152) @t211)))) % 1.12/1.35 (assume @p136 (forall @t23 (=> (and @t212 @t144) @t181))) % 1.12/1.35 (assume @p137 (forall @t23 (=> @t203 (=> @t216 @t215)))) % 1.12/1.35 (assume @p138 (forall @t23 (=> @t203 (=> @t191 @t219)))) % 1.12/1.35 (assume @p139 (forall @t154 (=> @t153 @t221))) % 1.12/1.35 (assume @p140 (forall @t154 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t152) @t222)))) % 1.12/1.35 (assume @p141 (forall @t109 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t46 @t52)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t51) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t52)) (or @t223 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t52 @t51)))))) % 1.12/1.35 (assume @p142 (forall @t14 (=> @t121 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t12) @t12)))) % 1.12/1.35 (assume @p143 (forall @t80 (=> @t184 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t17 @t75) (tptp.c_Groups_Ominus__class_Ominus @t11 @t197 @t196))))) % 1.12/1.35 (assume @p144 (forall @t141 (=> @t184 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t12) @t16)))) % 1.12/1.35 (assume @p145 (forall @t47 (=> @t22 (= (= @t224 @t51) @t149)))) % 1.12/1.35 (assume @p146 (forall @t14 (=> @t22 (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t136) @t51)))) % 1.12/1.35 (assume @p147 (forall @t14 (=> @t225 (not (= @t12 @t136))))) % 1.12/1.35 (assume @p148 (forall @t14 (=> @t225 (not (= @t136 @t12))))) % 1.12/1.35 (assume @p149 (forall @t227 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 @t226)))) % 1.12/1.35 (assume @p150 (forall @t14 (=> @t192 (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t228)))) % 1.12/1.35 (assume @p151 (forall @t23 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t229 @t143)))) % 1.12/1.35 (assume @p152 (forall @t235 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t234) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t232) (tptp.c_Groups_Oabs__class_Oabs @t11 @t231)))))) % 1.12/1.35 (assume @p153 (forall @t23 (=> @t203 (=> @t202 @t215)))) % 1.12/1.35 (assume @p154 (forall @t23 (=> @t203 (=> @t216 (=> @t201 @t213))))) % 1.12/1.35 (assume @p155 (forall @t80 (=> @t203 (=> @t199 @t190)))) % 1.12/1.35 (assume @p156 (forall @t80 (=> @t203 (=> @t191 (=> @t115 @t189))))) % 1.12/1.35 (assume @p157 (forall @t23 (=> @t203 (=> @t199 @t219)))) % 1.12/1.35 (assume @p158 (forall @t23 (=> @t203 (=> @t191 (=> @t209 @t217))))) % 1.12/1.35 (assume @p159 (forall @t227 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t226 @t7) @t24)))) % 1.12/1.35 (assume @p160 (forall @t64 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t238 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t237 @t236))))) % 1.12/1.35 (assume @p161 (forall @t242 (=> @t22 (=> @t241 (=> @t240 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t238 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t138 @t239))))))) % 1.12/1.35 (assume @p162 (forall @t141 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t140)))) % 1.12/1.35 (assume @p163 (forall @t23 (=> @t137 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t140 @t15) @t99)))) % 1.12/1.35 (assume @p164 (forall @t23 (=> @t137 (= @t229 @t243)))) % 1.12/1.35 (assume @p165 (forall (@list @t38 @t37) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t37) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t37 @t38)) @t244)))) % 1.12/1.35 (assume @p166 (forall @t47 (=> @t22 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t224 @t51) @t149)))) % 1.12/1.35 (assume @p167 (forall @t47 (=> @t22 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t224) @t245)))) % 1.12/1.35 (assume @p168 (forall @t169 (=> @t144 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t246 @t165) (tptp.c_Groups_Ominus__class_Ominus @t11 @t167 @t166))))) % 1.12/1.35 (assume @p169 (forall @t249 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t171 @t247) @t32)))) % 1.12/1.35 (assume @p170 (forall @t251 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t174 @t250) @t32)))) % 1.12/1.35 (assume @p171 (forall @t80 (=> @t253 (=> @t99 @t252)))) % 1.12/1.35 (assume @p172 (forall @t80 (=> @t253 (=> @t99 @t255)))) % 1.12/1.35 (assume @p173 (forall @t235 (=> @t253 (=> @t99 (=> @t257 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t188 @t256)))))) % 1.12/1.35 (assume @p174 (forall @t258 (=> @t248 (=> @t252 @t99)))) % 1.12/1.35 (assume @p175 (forall @t259 (=> @t248 (=> @t255 @t99)))) % 1.12/1.35 (assume @p176 (forall @t259 (=> @t248 (=> @t260 @t73)))) % 1.12/1.35 (assume @p177 (forall @t258 (=> @t248 (=> @t261 @t73)))) % 1.12/1.35 (assume @p178 (forall @t235 (=> @t265 (=> @t73 @t264)))) % 1.12/1.35 (assume @p179 (forall @t80 (=> @t265 (=> @t73 @t260)))) % 1.12/1.35 (assume @p180 (forall @t80 (=> @t265 (=> @t73 @t261)))) % 1.12/1.35 (assume @p181 (forall @t251 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t174 @t250) @t106)))) % 1.12/1.35 (assume @p182 (forall @t249 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t171 @t247) @t106)))) % 1.12/1.35 (assume @p183 (forall @t141 (=> @t22 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t20) @t20)))) % 1.12/1.35 (assume @p184 (forall @t23 (=> @t266 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t17 @t15) @t16)))) % 1.12/1.35 (assume @p185 (forall @t23 (=> @t266 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t122 @t15) @t16)))) % 1.12/1.35 (assume @p186 (forall @t268 (=> @t267 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t24) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t60))))) % 1.12/1.35 (assume @p187 (forall @t141 (=> @t266 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t16 @t136) @t16)))) % 1.12/1.35 (assume @p188 (forall @t141 (=> @t266 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t16 @t16) @t136)))) % 1.12/1.35 (assume @p189 (forall @t270 (=> @t119 (= @t118 @t269)))) % 1.12/1.35 (assume @p190 (forall @t270 (=> @t266 (= @t269 @t118)))) % 1.12/1.35 (assume @p191 (forall @t141 (=> @t192 (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t271)))) % 1.12/1.35 (assume @p192 (not (= @t51 @t7))) % 1.12/1.35 (assume @p193 (forall @t14 (=> @t192 (not (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t136))))) % 1.12/1.35 (assume @p194 (forall @t14 (=> @t192 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t12)))) % 1.12/1.35 (assume @p195 (forall @t14 (=> @t192 (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t12)))) % 1.12/1.35 (assume @p196 (forall @t14 (=> @t192 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t136))))) % 1.12/1.35 (assume @p197 (forall @t235 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 @t234) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 @t232) (tptp.c_RealVector_Onorm__class_Onorm @t11 @t231)))))) % 1.12/1.35 (assume @p198 (forall @t23 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t272) @t229)))) % 1.12/1.35 (assume @p199 (forall @t23 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t272 @t229)))) % 1.12/1.35 (assume @p200 (forall @t23 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t272 @t243)))) % 1.12/1.35 (assume @p201 (forall @t235 (=> @t265 (=> @t99 @t264)))) % 1.12/1.35 (assume @p202 (forall @t235 (=> @t265 (=> @t73 (=> @t257 @t262))))) % 1.12/1.35 (assume @p203 (forall @t270 (=> @t35 (= @t32 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t33 @t136))))) % 1.12/1.35 (assume @p204 (forall @t270 (=> @t35 (= @t106 (tptp.c_Orderings_Oord__class_Oless @t11 @t33 @t136))))) % 1.12/1.35 (assume @p205 (forall @t26 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t237)))) % 1.12/1.35 (assume @p206 (forall @t26 (=> @t22 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t237 @t51))))) % 1.12/1.35 (assume @p207 (forall @t109 (= @t108 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t46 @t52) @t51)))) % 1.12/1.35 (assume @p208 (not (forall @t275 (=> @t274 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t273 @t7) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t273 @t120))))))) % 1.12/1.35 (assume @p209 (exists (@list @t276) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t276) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t276 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t276 @t120)))) % 1.12/1.35 (assume @p210 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t278 tptp.v_e)) % 1.12/1.35 (assume @p211 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t278)) % 1.12/1.35 (assume @p212 (forall @t103 (=> @t281 (=> @t280 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t24) @t60) (tptp.c_Groups_Oabs__class_Oabs @t11 @t279)))))) % 1.12/1.35 (assume @p213 (forall (@list @t282 @t31 @t46 @t11) (=> @t121 (= (tptp.c_Orderings_Oord__class_Oless @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t31)) @t282) (and (tptp.c_Orderings_Oord__class_Oless @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t31 @t282) @t46) (tptp.c_Orderings_Oord__class_Oless @t11 @t46 (tptp.c_Groups_Oplus__class_Oplus @t11 @t31 @t282))))))) % 1.12/1.35 (assume @p214 (forall @t23 (=> @t284 (=> @t73 (tptp.c_Orderings_Oord__class_Oless @t11 @t283 @t15))))) % 1.12/1.35 (assume @p215 (forall @t23 (=> @t284 (=> @t73 (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t283))))) % 1.12/1.35 (assume @p216 (forall @t64 (=> @t284 (=> @t287 (=> @t286 @t285))))) % 1.12/1.35 (assume @p217 (forall @t64 (=> @t284 (=> @t287 (=> @t280 @t288))))) % 1.12/1.35 (assume @p218 (forall @t64 (=> @t294 (= @t293 @t289)))) % 1.12/1.35 (assume @p219 (forall (@list @t295 @t296 @t298) (= (tptp.hAPP (tptp.hAPP @t277 (tptp.hAPP @t299 @t296)) @t295) (tptp.hAPP @t299 (tptp.hAPP @t297 @t295))))) % 1.12/1.35 (assume @p220 (forall @t80 (=> (tptp.class_Groups_Oab__semigroup__mult @t11) (= (tptp.hAPP (tptp.hAPP @t290 @t303) @t75) (tptp.hAPP @t302 @t301))))) % 1.12/1.35 (assume @p221 (forall @t23 (=> @t304 (= (tptp.hAPP @t302 @t303) @t303)))) % 1.12/1.35 (assume @p222 (forall @t41 (= (tptp.hAPP @t305 @t37) (tptp.hAPP (tptp.hAPP @t277 @t37) @t38)))) % 1.12/1.35 (assume @p223 (forall @t26 (=> @t304 (= @t306 @t24)))) % 1.12/1.35 (assume @p224 (forall @t141 (=> @t304 (= @t307 @t16)))) % 1.12/1.35 (assume @p225 (forall (@list @t37 @t38 @t60 @t24 @t11) (=> @t212 (= (tptp.hAPP (tptp.hAPP @t290 @t279) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t38 @t37)) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t309 (tptp.hAPP @t308 @t37)))))) % 1.12/1.35 (assume @p226 (forall @t64 (=> @t310 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t293 @t289)))) % 1.12/1.35 (assume @p227 (forall @t242 (=> @t310 (=> @t241 (=> @t240 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t293 (tptp.hAPP @t311 @t239))))))) % 1.12/1.35 (assume @p228 (forall @t141 (=> @t314 @t313))) % 1.12/1.35 (assume @p229 (forall @t141 (=> @t314 @t315))) % 1.12/1.35 (assume @p230 (forall @t270 (=> (tptp.class_Rings_Oring__no__zero__divisors @t11) (= (= @t317 @t136) (or @t151 @t186))))) % 1.12/1.35 (assume @p231 (forall @t23 (=> @t319 (=> @t158 (=> @t183 (not @t318)))))) % 1.12/1.35 (assume @p232 (forall @t23 (=> @t319 (=> @t318 (or @t157 @t182))))) % 1.12/1.35 (assume @p233 (forall @t26 (=> @t310 (= (tptp.hAPP @t291 @t136) @t136)))) % 1.12/1.35 (assume @p234 (forall @t141 (=> @t310 @t315))) % 1.12/1.35 (assume @p235 (forall @t145 (=> @t310 (= (tptp.hAPP @t312 @t60) @t136)))) % 1.12/1.35 (assume @p236 (forall (@list @t15 @t11) (=> @t310 (= (tptp.hAPP @t312 @t15) @t136)))) % 1.12/1.35 (assume @p237 (forall @t80 (=> (tptp.class_Rings_Ocomm__semiring @t11) @t322))) % 1.12/1.35 (assume @p238 (forall (@list @t75 @t15 @t323 @t16 @t11) (=> (tptp.class_Rings_Osemiring @t11) (= (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t302 @t323) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t300 @t323) @t75)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t321 @t323) @t75))))) % 1.12/1.35 (assume @p239 (forall @t169 (=> @t310 (= (tptp.hAPP (tptp.hAPP @t290 @t168) @t165) (tptp.c_Groups_Oplus__class_Oplus @t11 @t325 @t324))))) % 1.12/1.35 (assume @p240 (forall @t329 (=> @t310 (= (tptp.hAPP (tptp.hAPP @t290 (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t326)) @t15) (tptp.c_Groups_Oplus__class_Oplus @t11 @t303 @t328))))) % 1.12/1.35 (assume @p241 (forall @t334 (=> @t310 (= (tptp.hAPP @t331 @t168) (tptp.c_Groups_Oplus__class_Oplus @t11 @t333 @t332))))) % 1.12/1.35 (assume @p242 (forall @t337 (=> @t310 (= (tptp.hAPP @t302 (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 @t335)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t303 @t336))))) % 1.12/1.35 (assume @p243 (forall @t169 (=> @t310 (= (tptp.hAPP (tptp.hAPP @t290 @t246) @t165) (tptp.c_Groups_Ominus__class_Ominus @t11 @t325 @t324))))) % 1.12/1.35 (assume @p244 (forall @t329 (=> @t310 (= (tptp.hAPP (tptp.hAPP @t290 (tptp.c_Groups_Ominus__class_Ominus @t11 @t16 @t326)) @t15) (tptp.c_Groups_Ominus__class_Ominus @t11 @t303 @t328))))) % 1.12/1.35 (assume @p245 (forall @t334 (=> @t310 (= (tptp.hAPP @t331 @t246) (tptp.c_Groups_Ominus__class_Ominus @t11 @t333 @t332))))) % 1.12/1.35 (assume @p246 (forall @t337 (=> @t310 (= (tptp.hAPP @t302 (tptp.c_Groups_Ominus__class_Ominus @t11 @t15 @t335)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t303 @t336))))) % 1.12/1.35 (assume @p247 (forall @t141 (=> @t339 @t338))) % 1.12/1.35 (assume @p248 (forall @t141 (=> @t340 @t338))) % 1.12/1.35 (assume @p249 (forall @t141 (=> @t339 @t341))) % 1.12/1.35 (assume @p250 (forall @t141 (=> @t340 @t341))) % 1.12/1.35 (assume @p251 (forall @t80 (=> @t184 (= (tptp.hAPP @t302 @t196) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t303 @t75))))) % 1.12/1.35 (assume @p252 (forall @t344 (=> @t343 (= (= (tptp.hAPP @t342 @t31) (tptp.hAPP @t342 @t30)) @t118)))) % 1.12/1.35 (assume @p253 (forall @t344 (=> @t343 (= (= (tptp.hAPP (tptp.hAPP @t277 @t31) @t29) (tptp.hAPP (tptp.hAPP @t277 @t30) @t29)) @t118)))) % 1.12/1.35 (assume @p254 (forall @t23 (=> @t121 @t347))) % 1.12/1.35 (assume @p255 (forall @t141 (=> @t121 (= (tptp.hAPP @t345 @t140) @t307)))) % 1.12/1.35 (assume @p256 (forall @t348 (= (tptp.hAPP (tptp.hAPP @t277 @t7) @t38) @t38))) % 1.12/1.35 (assume @p257 (forall (@list @t37 @t296 @t298) (= (tptp.hAPP (tptp.hAPP @t277 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t298 @t296)) @t37) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t299 @t37) (tptp.hAPP @t297 @t37))))) % 1.12/1.35 (assume @p258 (forall @t173 (=> @t212 (= @t355 (and (=> @t353 @t352) @t350))))) % 1.12/1.35 (assume @p259 (forall @t358 (=> @t212 (= @t357 (and (=> @t353 @t356) @t350))))) % 1.12/1.35 (assume @p260 (forall @t259 (=> @t212 (=> @t360 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t320 @t301) @t180))))) % 1.12/1.35 (assume @p261 (forall @t259 (=> @t212 (=> @t360 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t363 @t362) @t180))))) % 1.12/1.35 (assume @p262 (forall (@list @t364 @t46 @t367 @t52 @t11) (=> @t371 (=> @t370 (=> (not (= @t367 @t136)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t52) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t364 @t367)) (= @t369 @t366))))))) % 1.12/1.35 (assume @p263 (forall @t179 (=> @t178 (=> @t177 (tptp.c_RealDef_Opositive @t372))))) % 1.12/1.35 (assume @p264 (forall @t23 (=> @t374 (=> (or (and @t199 @t201) (and @t202 @t209)) @t373)))) % 1.12/1.35 (assume @p265 (forall @t23 (=> @t376 (=> (or (and @t199 @t209) (and @t202 @t201)) @t375)))) % 1.12/1.35 (assume @p266 (forall @t235 (=> @t379 (=> @t99 (=> @t257 (=> @t209 @t378)))))) % 1.12/1.35 (assume @p267 (forall @t235 (=> @t379 (=> @t99 (=> @t257 (=> @t199 @t378)))))) % 1.12/1.35 (assume @p268 (forall @t83 (=> @t376 (=> @t98 (=> @t381 @t380))))) % 1.12/1.35 (assume @p269 (forall @t83 (=> @t376 (=> @t98 (=> @t381 @t382))))) % 1.12/1.35 (assume @p270 (forall @t80 (=> (tptp.class_Rings_Oordered__comm__semiring @t11) @t383))) % 1.12/1.35 (assume @p271 (forall @t80 (=> @t379 @t383))) % 1.12/1.35 (assume @p272 (forall @t80 (=> @t379 (=> @t99 (=> @t205 @t382))))) % 1.12/1.35 (assume @p273 (forall @t23 (=> @t376 (=> @t202 (=> @t201 @t375))))) % 1.12/1.35 (assume @p274 (forall @t23 (=> @t374 (=> @t202 (=> @t209 @t373))))) % 1.12/1.35 (assume @p275 (forall @t23 (=> @t374 (=> @t199 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t384 @t136)))))) % 1.12/1.35 (assume @p276 (forall @t23 (=> @t374 (=> @t199 (=> @t201 @t373))))) % 1.12/1.35 (assume @p277 (forall @t23 (=> @t374 (=> @t199 (=> @t209 @t375))))) % 1.12/1.35 (assume @p278 (forall @t270 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t317 @t136) @t387)))) % 1.12/1.35 (assume @p279 (forall @t270 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t317) @t389)))) % 1.12/1.35 (assume @p280 (forall @t141 (=> @t390 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t307)))) % 1.12/1.35 (assume @p281 (forall @t80 (=> @t284 (=> @t73 (=> @t395 @t394))))) % 1.12/1.35 (assume @p282 (forall @t83 (=> @t284 (=> @t72 (=> @t396 @t394))))) % 1.12/1.35 (assume @p283 (forall @t400 (=> @t284 (=> @t399 (= @t398 @t397))))) % 1.12/1.35 (assume @p284 (forall @t251 (=> @t284 (=> @t399 (= @t402 @t401))))) % 1.12/1.35 (assume @p285 (forall @t405 (=> @t284 (=> @t280 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t404 @t24) (tptp.c_Orderings_Oord__class_Oless @t11 @t38 @t279)))))) % 1.12/1.35 (assume @p286 (forall @t92 (=> @t284 (=> @t280 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t404) (tptp.c_Orderings_Oord__class_Oless @t11 @t279 @t38)))))) % 1.12/1.35 (assume @p287 (forall @t400 (=> @t284 (=> @t406 (= @t398 @t401))))) % 1.12/1.35 (assume @p288 (forall @t251 (=> @t284 (=> @t406 (= @t402 @t397))))) % 1.12/1.35 (assume @p289 (forall @t358 (=> @t281 (= @t398 (and (=> @t406 @t401) (=> @t408 (and (=> @t399 @t397) (=> @t407 @t222)))))))) % 1.12/1.35 (assume @p290 (forall @t173 (=> @t281 (= @t402 (and (=> @t406 @t397) (=> @t408 (and (=> @t399 @t401) (=> @t407 @t220)))))))) % 1.12/1.35 (assume @p291 (forall @t83 (=> @t388 (=> @t72 (=> @t395 @t409))))) % 1.12/1.35 (assume @p292 (forall @t83 (=> @t388 (=> @t72 (=> @t395 @t410))))) % 1.12/1.35 (assume @p293 (forall @t80 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t11) @t411))) % 1.12/1.35 (assume @p294 (forall @t80 (=> @t412 @t411))) % 1.12/1.35 (assume @p295 (forall @t80 (=> @t412 (=> @t73 (=> @t396 @t410))))) % 1.12/1.35 (assume @p296 (forall @t23 (=> @t388 (=> @t216 (=> @t214 @t393))))) % 1.12/1.35 (assume @p297 (forall @t23 (=> @t412 (=> @t216 (=> @t218 @t413))))) % 1.12/1.35 (assume @p298 (forall @t251 (=> @t388 (=> @t399 (= @t417 @t132))))) % 1.12/1.35 (assume @p299 (forall @t74 (=> @t412 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t384) @t418)))) % 1.12/1.35 (assume @p300 (forall @t23 (=> @t412 (=> @t393 @t418)))) % 1.12/1.35 (assume @p301 (forall @t23 (=> @t412 (=> @t191 (=> @t214 (tptp.c_Orderings_Oord__class_Oless @t11 @t384 @t136)))))) % 1.12/1.35 (assume @p302 (forall @t23 (=> @t412 (=> @t191 (=> @t214 @t413))))) % 1.12/1.35 (assume @p303 (forall @t23 (=> @t412 (=> @t191 (=> @t218 @t393))))) % 1.12/1.35 (assume @p304 (forall @t251 (=> @t388 (=> @t406 (= @t417 @t106))))) % 1.12/1.35 (assume @p305 (forall @t251 (=> @t388 (= @t417 @t419)))) % 1.12/1.35 (assume @p306 (forall @t249 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t351 @t421) @t419)))) % 1.12/1.35 (assume @p307 (forall @t141 (=> @t390 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t307 @t136))))) % 1.12/1.35 (assume @p308 (forall @t405 (=> @t212 (=> @t424 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t38 @t279) @t423))))) % 1.12/1.35 (assume @p309 (forall @t428 (=> @t371 (=> @t427 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t426) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t425 @t60) @t38)))))) % 1.12/1.35 (assume @p310 (forall @t92 (=> @t212 (=> @t424 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t279 @t38) @t423))))) % 1.12/1.35 (assume @p311 (forall @t428 (=> @t371 (=> @t427 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t429 @t60) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t422 @t38)))))) % 1.12/1.35 (assume @p312 (forall @t433 (=> @t371 (=> @t424 (=> @t427 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t279 @t432) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t309 @t431) @t430))))))) % 1.12/1.35 (assume @p313 (forall @t433 (=> @t371 (=> @t424 (=> @t427 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t279 @t432) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t309 @t431) @t430))))))) % 1.12/1.35 (assume @p314 (forall @t428 (=> @t371 (=> @t427 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t429 @t60) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t404) @t38)))))) % 1.12/1.35 (assume @p315 (forall @t428 (=> @t371 (=> @t427 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t426) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t425 @t60) @t38)))))) % 1.12/1.35 (assume @p316 (forall (@list @t434 @t435 @t11) (=> @t192 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t435) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t434) (tptp.c_Orderings_Oord__class_Oless @t11 @t12 (tptp.hAPP @t436 @t434))))))) % 1.12/1.35 (assume @p317 (forall @t442 (=> @t441 (= @t440 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t291 @t439) @t438))))) % 1.12/1.35 (assume @p318 (forall @t442 (=> @t310 (= @t440 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t437 @t439) @t438) (tptp.hAPP @t302 @t439)))))) % 1.12/1.35 (assume @p319 (forall @t448 (=> @t441 (= @t447 (= @t444 @t28))))) % 1.12/1.35 (assume @p320 (forall @t448 (=> @t441 (= @t447 (= @t29 @t449))))) % 1.12/1.35 (assume @p321 (forall @t251 (=> @t184 (=> @t353 (= @t355 @t352))))) % 1.12/1.35 (assume @p322 (forall @t400 (=> @t184 (=> @t353 (= @t357 @t356))))) % 1.12/1.35 (assume @p323 (forall @t206 (=> @t184 (=> @t360 (=> (= @t15 @t320) (= @t196 @t16)))))) % 1.12/1.35 (assume @p324 (forall @t259 (=> @t184 (=> @t360 (=> (= @t320 @t15) (= @t16 @t196)))))) % 1.12/1.35 (assume @p325 (forall @t451 (=> @t121 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t140 @t75) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t142 @t230) (tptp.c_Orderings_Oord__class_Oless @t11 @t346 @t450)))))) % 1.12/1.35 (assume @p326 (forall @t457 (=> @t456 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t455 @t453) @t107)))) % 1.12/1.35 (assume @p327 (forall @t179 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t60) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t372))))) % 1.12/1.35 (assume @p328 (forall (@list @t60 @t24 @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t38) (=> @t458 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t305 @t24) (tptp.hAPP @t305 @t60)))))) % 1.12/1.35 (assume @p329 (forall @t109 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t460 (tptp.hAPP @t452 @t52)) @t51) (and @t459 (= @t52 @t51))))) % 1.12/1.35 (assume @p330 (forall @t80 (=> @t281 (=> @t99 (=> @t381 @t461))))) % 1.12/1.35 (assume @p331 (forall @t83 (=> @t284 (=> @t98 (=> @t205 @t461))))) % 1.12/1.35 (assume @p332 (forall @t400 (=> @t284 (=> @t399 (= @t463 @t462))))) % 1.12/1.35 (assume @p333 (forall @t251 (=> @t284 (=> @t399 (= @t465 @t464))))) % 1.12/1.35 (assume @p334 (forall @t405 (=> @t284 (=> @t280 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t404 @t24) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t38 @t279)))))) % 1.12/1.35 (assume @p335 (forall @t92 (=> @t284 (=> @t280 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t404) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t279 @t38)))))) % 1.12/1.35 (assume @p336 (forall @t400 (=> @t284 (=> @t406 (= @t463 @t464))))) % 1.12/1.35 (assume @p337 (forall @t251 (=> @t284 (=> @t406 (= @t465 @t462))))) % 1.12/1.35 (assume @p338 (forall @t358 (=> @t281 (= @t463 (and (=> @t406 @t464) (=> @t408 (and (=> @t399 @t462) (=> @t407 @t211)))))))) % 1.12/1.35 (assume @p339 (forall @t173 (=> @t281 (= @t465 (and (=> @t406 @t462) (=> @t408 (and (=> @t399 @t464) (=> @t407 @t210)))))))) % 1.12/1.35 (assume @p340 (forall @t251 (=> @t388 (=> @t406 (= @t466 @t32))))) % 1.12/1.35 (assume @p341 (forall @t251 (=> @t388 (=> @t399 (= @t466 @t135))))) % 1.12/1.35 (assume @p342 (forall @t235 (=> @t412 (=> @t73 (=> @t263 (=> @t218 @t468)))))) % 1.12/1.35 (assume @p343 (forall @t235 (=> @t412 (=> @t73 (=> @t263 (=> @t199 @t468)))))) % 1.12/1.35 (assume @p344 (forall @t235 (=> @t412 (=> @t73 (=> @t257 (=> @t199 (=> @t396 @t467))))))) % 1.12/1.35 (assume @p345 (forall @t235 (=> @t412 (=> @t99 (=> @t263 (=> @t191 @t468)))))) % 1.12/1.35 (assume @p346 (forall @t258 (=> @t471 @t470))) % 1.12/1.35 (assume @p347 (forall @t258 (=> @t412 @t470))) % 1.12/1.35 (assume @p348 (forall @t259 (=> @t471 @t472))) % 1.12/1.35 (assume @p349 (forall @t259 (=> @t412 @t472))) % 1.12/1.35 (assume @p350 (forall @t258 (=> @t412 (=> @t382 @t473)))) % 1.12/1.35 (assume @p351 (forall @t259 (=> @t412 (=> @t380 @t473)))) % 1.12/1.35 (assume @p352 (forall @t64 (=> @t121 (=> @t477 (=> @t476 (=> @t475 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t474 @t24))))))) % 1.12/1.35 (assume @p353 (forall @t64 (=> @t121 (=> @t477 (=> @t476 (=> @t475 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t292 @t24))))))) % 1.12/1.35 (assume @p354 (forall @t448 (=> @t376 (= @t478 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t444 @t28))))) % 1.12/1.35 (assume @p355 (forall @t448 (=> @t376 (= @t478 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t29 @t449))))) % 1.12/1.35 (assume @p356 (forall @t448 (=> @t376 (= @t479 (tptp.c_Orderings_Oord__class_Oless @t11 @t29 @t449))))) % 1.12/1.35 (assume @p357 (forall @t448 (=> @t376 (= @t479 (tptp.c_Orderings_Oord__class_Oless @t11 @t444 @t28))))) % 1.12/1.35 (assume @p358 (forall @t26 (=> (tptp.class_Rings_Oring__1 @t11) (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t306 @t12) (tptp.hAPP (tptp.hAPP @t290 (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t12)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t12)))))) % 1.12/1.35 (assume @p359 (forall @t23 (=> (tptp.class_Rings_Oordered__ring__abs @t11) (=> (and (or @t199 @t202) (or @t209 @t201)) @t347)))) % 1.12/1.35 (assume @p360 (forall @t64 (=> @t121 (=> @t477 (= (tptp.hAPP (tptp.hAPP @t290 (tptp.c_Groups_Oabs__class_Oabs @t11 @t60)) @t24) (tptp.c_Groups_Oabs__class_Oabs @t11 @t474)))))) % 1.12/1.35 (assume @p361 (forall @t457 (=> @t456 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455 @t453) @t108)))) % 1.12/1.35 (assume @p362 (forall @t457 (=> @t456 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t480 @t46) (tptp.hAPP @t480 @t52)) @t108)))) % 1.12/1.35 (assume @p363 (forall @t487 (=> (tptp.class_Rings_Olinordered__semiring__1 @t11) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t16) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t16) (=> @t486 (=> @t485 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t483 @t16))))))))) % 1.12/1.35 (assume @p364 (forall @t487 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t11) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t16) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t16) (=> @t486 (=> @t485 (=> @t484 (tptp.c_Orderings_Oord__class_Oless @t11 @t483 @t16))))))))) % 1.12/1.35 (assume @p365 (forall @t23 (=> @t281 @t488))) % 1.12/1.35 (assume @p366 (forall @t80 (=> @t281 (=> @t99 (=> @t381 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t196 @t197)))))) % 1.12/1.35 (assume @p367 (forall @t80 (=> @t281 (=> @t99 (=> @t205 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t197 @t196)))))) % 1.12/1.35 (assume @p368 (forall @t270 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t185 @t136) @t387)))) % 1.12/1.35 (assume @p369 (forall @t270 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t185) @t389)))) % 1.12/1.35 (assume @p370 (forall @t83 (=> @t284 (=> @t72 (=> @t395 @t489))))) % 1.12/1.35 (assume @p371 (forall @t80 (=> @t284 (=> @t73 (=> @t396 @t489))))) % 1.12/1.35 (assume @p372 (forall @t64 (=> @t284 (=> @t491 (=> @t286 @t490))))) % 1.12/1.35 (assume @p373 (forall @t64 (=> @t284 (=> @t491 (=> @t280 @t492))))) % 1.12/1.35 (assume @p374 (forall @t64 (=> @t284 (=> @t493 (=> @t286 @t492))))) % 1.12/1.35 (assume @p375 (forall @t64 (=> @t284 (=> @t493 (=> @t280 @t490))))) % 1.12/1.35 (assume @p376 (forall @t270 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t185 @t136) (or (and @t222 @t495) (and @t220 @t494)))))) % 1.12/1.35 (assume @p377 (forall @t270 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t185) (or (and @t222 @t494) (and @t220 @t495)))))) % 1.12/1.35 (assume @p378 (forall @t74 (=> @t284 (=> @t183 @t488)))) % 1.12/1.35 (assume @p379 (forall @t64 (=> @t284 (=> @t477 (=> @t280 @t285))))) % 1.12/1.35 (assume @p380 (forall @t64 (=> @t284 (=> @t477 (=> @t286 @t288))))) % 1.12/1.35 (assume @p381 (forall @t499 (=> @t284 (=> @t493 (=> @t94 (=> @t498 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t38) @t497))))))) % 1.12/1.35 (assume @p382 (forall @t499 (=> @t284 (=> @t477 (=> @t63 (=> @t498 (=> @t500 @t497))))))) % 1.12/1.35 (assume @p383 (forall @t499 (=> @t284 (=> @t477 (=> @t94 (=> @t498 (=> @t500 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t429 @t496)))))))) % 1.12/1.35 (assume @p384 (forall (@list @t60 @t24 @t75 @t11) (=> @t22 (=> @t502 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t237 (tptp.hAPP @t501 @t236)) (= @t24 @t136)))))) % 1.12/1.35 (assume @p385 (forall @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t15 @t16)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t16)))) % 1.12/1.35 (assume @p386 (forall (@list @t60 @t24 @t75) (=> @t502 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t226 (tptp.hAPP @t501 @t504)) (= @t24 @t51))))) % 1.12/1.35 (assume @p387 (forall (@list @t505 @t230 @t75 @t15 @t16 @t11) (=> (tptp.class_RealVector_Oreal__field @t11) (= (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t303 @t450) @t505) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t302 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t231 @t505)) (tptp.hAPP (tptp.hAPP @t290 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t232 @t505)) @t230)))))) % 1.12/1.35 (assume @p388 (forall @t58 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t506) (or @t245 @t370))))) % 1.12/1.35 (assume @p389 (forall @t64 (=> @t390 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t507 @t136))))) % 1.12/1.35 (assume @p390 (forall @t58 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t506 @t136) @t208)))) % 1.12/1.35 (assume @p391 (forall @t451 (=> @t119 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t188 @t256) (tptp.c_Groups_Oplus__class_Oplus @t11 @t17 (tptp.c_Groups_Ominus__class_Ominus @t11 @t75 @t230)))))) % 1.12/1.35 (assume @p392 (forall @t58 (=> @t388 (= (= @t506 @t136) @t208)))) % 1.12/1.35 (assume @p393 (forall (@list @t30 @t31 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t126 (tptp.hAPP @t508 @t31)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t131 (tptp.hAPP @t508 @t30))))) % 1.12/1.35 (assume @p394 (forall @t64 (=> @t390 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t507)))) % 1.12/1.35 (assume @p395 (forall @t509 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t460)) @t459))) % 1.12/1.35 (assume @p396 (forall (@list @t435 @t11) (=> @t510 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t435 @t435) (tptp.hAPP (tptp.hAPP @t290 @t228) @t435))))) % 1.12/1.35 (assume @p397 (forall (@list @t16 @t435 @t11) (=> @t510 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t435 @t512) @t511)))) % 1.12/1.35 (assume @p398 (forall (@list @t435 @t16 @t11) (=> @t510 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t512 @t435) @t511)))) % 1.12/1.35 (assume @p399 (forall (@list @t230 @t75 @t15 @t16 @t138 @t11) (=> @t514 (=> (not (= @t138 @t136)) (=> (and @t78 (not (= @t75 @t230))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 (tptp.hAPP @t513 @t75)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 (tptp.hAPP @t513 @t230))))))))) % 1.12/1.35 (assume @p400 (forall @t23 (=> @t510 (= @t303 @t384)))) % 1.12/1.35 (assume @p401 (forall @t522 (=> @t510 (= @t521 (tptp.hAPP @t519 (tptp.hAPP @t517 @t515)))))) % 1.12/1.35 (assume @p402 (forall @t522 (=> @t510 (= @t521 (tptp.hAPP @t523 @t515))))) % 1.12/1.35 (assume @p403 (forall @t528 (=> @t510 (= @t527 (tptp.hAPP @t517 (tptp.hAPP @t525 @t518)))))) % 1.12/1.35 (assume @p404 (forall @t528 (=> @t510 (= @t527 (tptp.hAPP @t523 @t524))))) % 1.12/1.35 (assume @p405 (forall @t530 (=> @t510 (= @t529 (tptp.hAPP @t517 (tptp.hAPP @t525 @t520)))))) % 1.12/1.35 (assume @p406 (forall @t530 (=> @t510 (= @t529 (tptp.hAPP @t519 (tptp.hAPP @t526 @t515)))))) % 1.12/1.35 (assume @p407 (forall @t530 (=> @t510 (= @t529 (tptp.hAPP @t523 (tptp.hAPP @t525 @t515)))))) % 1.12/1.35 (assume @p408 (forall (@list @t75 @t16 @t11) (=> @t510 (= @t188 @t194)))) % 1.12/1.35 (assume @p409 (forall @t532 (=> @t510 (= @t531 (tptp.c_Groups_Oplus__class_Oplus @t11 @t75 (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t230)))))) % 1.12/1.35 (assume @p410 (forall @t532 (=> @t510 (= @t531 (tptp.c_Groups_Oplus__class_Oplus @t11 @t188 @t230))))) % 1.12/1.35 (assume @p411 (forall @t80 (=> @t510 @t164))) % 1.12/1.35 (assume @p412 (forall @t80 (=> @t510 (= @t163 (tptp.c_Groups_Oplus__class_Oplus @t11 @t188 @t15))))) % 1.12/1.35 (assume @p413 (forall @t235 (=> @t510 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t122 @t233) (tptp.c_Groups_Oplus__class_Oplus @t11 @t188 @t256))))) % 1.12/1.35 (assume @p414 (forall @t141 (=> @t510 @t313))) % 1.12/1.35 (assume @p415 (forall @t141 (=> @t510 @t315))) % 1.12/1.35 (assume @p416 (forall @t141 (=> @t510 @t146))) % 1.12/1.35 (assume @p417 (forall @t141 (=> @t510 @t155))) % 1.12/1.35 (assume @p418 (forall @t187 (=> @t514 (= (= @t30 @t175) @t151)))) % 1.12/1.35 (assume @p419 (forall @t88 (=> @t510 (= (tptp.hAPP @t291 (tptp.c_Groups_Oplus__class_Oplus @t11 @t60 @t38)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t292 @t309))))) % 1.12/1.35 (assume @p420 (forall @t36 (=> @t514 (= (and (not @t118) (not @t117)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t351 (tptp.hAPP @t420 @t28)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t533 @t421))))))) % 1.12/1.35 (assume @p421 (forall @t80 (=> @t510 @t322))) % 1.12/1.35 (assume @p422 (forall (@list @t15 @t435 @t16 @t11) (=> @t510 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t512 (tptp.hAPP @t300 @t435)) (tptp.hAPP @t321 @t435))))) % 1.12/1.35 (assume @p423 (forall (@list @t367 @t46 @t52 @t364 @t11) (=> @t514 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t366 @t369) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t365 @t367) (tptp.hAPP @t368 @t52))) (or (= @t364 @t46) (= @t52 @t367)))))) % 1.12/1.35 (assume @p424 (forall @t141 (=> @t510 @t338))) % 1.12/1.35 (assume @p425 (forall @t141 (=> @t510 @t341))) % 1.12/1.35 (assume @p426 (forall (@list @t16 @t138) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t311 @t16) (tptp.hAPP @t311 @t138)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t16 @t138)))) % 1.12/1.35 (assume @p427 (forall @t154 (=> @t121 @t221))) % 1.12/1.35 (assume @p428 (forall @t145 (=> @t144 (exists @t538 (and @t537 @t536))))) % 1.12/1.35 (assume @p429 (forall @t348 (=> (= @t244 @t7) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t38 @t539)) @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t38 @t539)) @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t38 tptp.c_Complex_Oii)) @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t38 tptp.c_Complex_Oii)) @t7))))) % 1.12/1.35 (assume @p430 (forall @t14 (=> @t310 (exists @t538 (and @t537 @t542))))) % 1.12/1.35 (assume @p431 (forall @t26 (=> @t310 (exists @t538 (and @t537 @t543))))) % 1.12/1.35 (assume @p432 (not (= tptp.c_Complex_Oii @t539))) % 1.12/1.35 (assume @p433 (not (= tptp.c_Complex_Oii @t544))) % 1.12/1.35 (assume @p434 (forall @t154 (=> @t153 (= (= @t152 @t136) @t151)))) % 1.12/1.35 (assume @p435 (forall @t145 (=> @t310 (exists @t538 (and @t537 @t545))))) % 1.12/1.35 (assume @p436 (forall @t179 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t226 @t7) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t504 @t7) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t547 @t546) (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t176 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t7 @t372)))))))) % 1.12/1.35 (assume @p437 (exists @t275 (and @t274 (forall @t125 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t550) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t550 @t273)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.hAPP @t548 @t549) (tptp.hAPP @t548 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_z tptp.v_z)))) tptp.v_e)))))) % 1.12/1.35 (assume @p438 (forall @t555 (=> @t554 (=> @t553 (exists @t275 (and @t274 (forall @t552 (=> @t551 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t128) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t128 @t15)))))))))) % 1.12/1.35 (assume @p439 (forall @t348 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t244 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t548 @t38)) tptp.v_m____)))) % 1.12/1.35 (assume @p440 (forall @t179 (=> @t458 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t547 @t546)))) % 1.12/1.35 (assume @p441 (= (tptp.c_Transcendental_Oarctan @t51) @t51)) % 1.12/1.35 (assume @p442 (forall @t179 (=> @t267 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t547 @t546)))) % 1.12/1.35 (assume @p443 (exists @t562 (and @t561 @t560))) % 1.12/1.35 (assume @p444 (forall @t227 (= (tptp.hAPP @t564 @t24) (tptp.hAPP @t563 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_z @t24))))) % 1.12/1.35 (assume @p445 (forall (@list @t565) (= (tptp.hAPP @t564 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t565 tptp.v_z)) (tptp.hAPP @t563 @t565)))) % 1.12/1.35 (assume @p446 (not (forall @t562 (=> @t561 (not @t560))))) % 1.12/1.35 (assume @p447 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_q____) @t566)) % 1.12/1.35 (assume @p448 (forall @t26 (=> @t510 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t568) @t24) @t12)))) % 1.12/1.35 (assume @p449 (forall @t576 (=> @t575 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t574) @t24) (tptp.c_Groups_Ominus__class_Ominus @t11 @t573 @t570))))) % 1.12/1.35 (assume @p450 (forall @t576 (=> @t578 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t577) @t24) (tptp.c_Groups_Oplus__class_Oplus @t11 @t573 @t570))))) % 1.12/1.35 (assume @p451 (forall @t576 (=> @t578 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t581) @t24) (tptp.hAPP (tptp.hAPP @t290 @t573) @t570))))) % 1.12/1.35 (assume @p452 (forall @t586 (=> @t578 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t585 @t584)))) % 1.12/1.35 (assume @p453 (forall (@list @t138 @t569 @t571 @t11) (=> @t578 (= (tptp.hAPP (tptp.hAPP @t579 @t577) @t138) (tptp.c_Groups_Oplus__class_Oplus @t567 (tptp.hAPP @t580 @t138) (tptp.hAPP (tptp.hAPP @t579 @t569) @t138)))))) % 1.12/1.35 (assume @p454 (forall @t590 (=> @t119 (=> @t589 (=> @t588 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t587 @t434)))))) % 1.12/1.35 (assume @p455 (forall (@list @t571 @t569 @t11) (=> @t148 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t582 @t583) (= @t591 @t583))))) % 1.12/1.35 (assume @p456 (forall @t586 (=> @t148 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t582) (= @t591 @t582))))) % 1.12/1.35 (assume @p457 (forall @t590 (=> @t148 (=> @t589 (=> @t588 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t591 @t434)))))) % 1.12/1.35 (assume @p458 (forall @t590 (=> @t119 (=> @t593 (=> @t592 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t587 @t434)))))) % 1.12/1.35 (assume @p459 (forall @t590 (=> @t148 (=> @t593 (=> @t592 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t591 @t434)))))) % 1.12/1.35 (assume @p460 (forall @t595 (=> @t119 (= (tptp.c_Groups_Ominus__class_Ominus @t567 @t571 @t594) @t571)))) % 1.12/1.35 (assume @p461 (forall @t595 (=> @t148 (= (tptp.c_Groups_Oplus__class_Oplus @t567 @t571 @t594) @t571)))) % 1.12/1.35 (assume @p462 (forall @t596 (=> @t148 (= (tptp.c_Groups_Oplus__class_Oplus @t567 @t594 @t569) @t569)))) % 1.12/1.35 (assume @p463 (forall @t14 (=> @t150 (= (tptp.c_Polynomial_Odegree @t11 @t594) @t597)))) % 1.12/1.35 (assume @p464 (forall @t596 (=> @t578 (= (tptp.hAPP (tptp.hAPP @t579 @t594) @t569) @t594)))) % 1.12/1.35 (assume @p465 (forall @t595 (=> @t578 (= (tptp.hAPP @t580 @t594) @t594)))) % 1.12/1.35 (assume @p466 (forall @t586 (=> @t600 (=> @t599 (=> @t598 (= @t585 @t584)))))) % 1.12/1.35 (assume @p467 (forall @t14 (=> @t510 (= (tptp.c_Polynomial_Odegree @t11 @t568) @t597)))) % 1.12/1.35 (assume @p468 (forall (@list @t601 @t602 @t11) (=> @t604 (= (= @t603 (tptp.c_Polynomial_Opoly @t11 @t601)) (= @t602 @t601))))) % 1.12/1.35 (assume @p469 (forall @t607 (=> @t604 (= (= @t603 @t606) @t605)))) % 1.12/1.35 (assume @p470 (forall @t26 (=> @t578 (= (tptp.hAPP @t606 @t24) @t136)))) % 1.12/1.35 (assume @p471 (not (forall @t609 (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t608) @t566) (not (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t608) @t3) (tptp.hAPP @t563 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_z @t3))))))))) % 1.12/1.35 (assume @p472 (forall (@list @t571 @t138) (exists @t562 (and @t561 (forall @t559 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t558 @t138) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t571) @t557)) @t556))))))) % 1.12/1.35 (assume @p473 (forall @t145 (=> @t144 (exists @t538 (and @t610 @t536))))) % 1.12/1.35 (assume @p474 (forall @t14 (=> @t310 (exists @t538 (and @t610 @t542))))) % 1.12/1.35 (assume @p475 (forall (@list @t613 @t612) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t613) (exists @t614 (= @t613 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t612 @t611)))))) % 1.12/1.35 (assume @p476 (forall @t622 (and (=> @t620 (= @t619 @t597)) (=> @t621 (= @t619 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 (tptp.hAPP (tptp.hAPP @t617 @t616) @t434))))))) % 1.12/1.35 (assume @p477 (forall @t623 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t597 @t434))) % 1.12/1.35 (assume @p478 (forall @t623 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t434 @t597)))) % 1.12/1.35 (assume @p479 (forall @t635 (=> @t634 (= @t633 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t630 @t629))))) % 1.12/1.35 (assume @p480 (forall @t638 (=> @t637 (= @t633 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t636 @t624))))) % 1.12/1.35 (assume @p481 (forall @t45 (= @t640 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t42) @t44)))) % 1.12/1.35 (assume @p482 (forall @t645 (= (tptp.hAPP @t641 @t644) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t643 @t642)))) % 1.12/1.35 (assume @p483 (forall @t649 (= (tptp.hAPP (tptp.hAPP @t617 @t644) @t42) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t648 @t647)))) % 1.12/1.35 (assume @p484 (forall @t649 (= (tptp.hAPP (tptp.hAPP @t617 @t619) @t42) (tptp.hAPP @t618 @t647)))) % 1.12/1.35 (assume @p485 (forall @t622 (= @t619 @t650))) % 1.12/1.35 (assume @p486 (forall @t656 (= (= @t655 @t615) @t653))) % 1.12/1.35 (assume @p487 (forall @t623 (= (tptp.hAPP @t646 @t615) @t434))) % 1.12/1.35 (assume @p488 (forall @t656 (= (= @t615 @t655) @t653))) % 1.12/1.35 (assume @p489 (forall @t623 (= (tptp.hAPP (tptp.hAPP @t617 @t615) @t434) @t434))) % 1.12/1.35 (assume @p490 (forall @t622 (=> (= @t435 @t619) (or (= @t434 @t615) @t620)))) % 1.12/1.35 (assume @p491 (forall @t663 (= (= @t662 @t661) @t659))) % 1.12/1.35 (assume @p492 (forall @t668 (= @t667 @t659))) % 1.12/1.35 (assume @p493 (forall @t668 (= @t667 (or @t657 @t658)))) % 1.12/1.35 (assume @p494 (forall @t656 (= (= @t655 @t597) (or @t670 @t669)))) % 1.12/1.35 (assume @p495 (forall @t671 (= (tptp.hAPP @t618 @t597) @t597))) % 1.12/1.35 (assume @p496 (forall @t623 (= (tptp.hAPP (tptp.hAPP @t617 @t597) @t434) @t597))) % 1.12/1.35 (assume @p497 (forall @t622 (=> @t673 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t435) @t597) @t672)))) % 1.12/1.35 (assume @p498 (forall @t671 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t435) @t597))) % 1.12/1.35 (assume @p499 (forall @t671 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t597) @t435))) % 1.12/1.35 (assume @p500 (forall @t623 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t597 @t434) @t597))) % 1.12/1.35 (assume @p501 (forall (@list @t674 @t624 @t630) (=> (=> @t678 @t676) (=> (=> @t658 @t676) (=> (=> @t677 @t676) @t676))))) % 1.12/1.35 (assume @p502 (forall (@list @t679 @t239) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t239 @t679) (not (= @t239 @t679))))) % 1.12/1.35 (assume @p503 (forall @t681 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t434 @t435) @t680))) % 1.12/1.35 (assume @p504 (forall @t623 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t434 @t434)))) % 1.12/1.35 (assume @p505 (forall @t179 (=> @t68 (=> (not @t682) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t24))))) % 1.12/1.35 (assume @p506 (forall @t656 (= @t683 (or @t678 @t677)))) % 1.12/1.35 (assume @p507 (forall (@list @t434 @t42 @t44) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t42) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t44 @t434) @t42)))) % 1.12/1.35 (assume @p508 (forall @t688 (=> @t687 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t435 @t684) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t685))))) % 1.12/1.35 (assume @p509 (forall @t622 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t689 @t434) @t435))) % 1.12/1.35 (assume @p510 (forall @t681 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t690 @t434) @t435))) % 1.12/1.35 (assume @p511 (forall @t45 (= @t640 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t691)))) % 1.12/1.35 (assume @p512 (forall @t645 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 @t435) @t692) @t644))) % 1.12/1.35 (assume @p513 (forall @t695 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t694 @t693) @t644))) % 1.12/1.35 (assume @p514 (forall @t663 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t630 @t612) @t696) @t658))) % 1.12/1.35 (assume @p515 (forall @t668 (= (= @t698 @t697) @t658))) % 1.12/1.35 (assume @p516 (forall @t649 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t689 @t42) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t693)))) % 1.12/1.35 (assume @p517 (forall @t268 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t699) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t38))))) % 1.12/1.35 (assume @p518 (forall @t622 (= @t689 @t690))) % 1.12/1.35 (assume @p519 (forall @t645 (= (tptp.hAPP @t641 @t689) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t643 @t642)))) % 1.12/1.35 (assume @p520 (forall @t649 (= (tptp.hAPP (tptp.hAPP @t617 @t689) @t42) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t648 @t647)))) % 1.12/1.35 (assume @p521 (forall (@list @t42 @t44 @t482 @t43) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t704 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t702 @t42)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 @t700) @t482) @t42)))) % 1.12/1.35 (assume @p522 (forall @t623 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t434))) % 1.12/1.35 (assume @p523 (forall @t622 (or @t706 @t705))) % 1.12/1.35 (assume @p524 (forall @t622 (=> @t672 @t706))) % 1.12/1.35 (assume @p525 (forall @t45 (=> @t707 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44 @t42) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t42))))) % 1.12/1.35 (assume @p526 (forall @t622 (=> @t706 (=> @t705 @t672)))) % 1.12/1.35 (assume @p527 (forall @t668 (=> @t712 (=> @t711 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t710 @t709) @t708))))) % 1.12/1.35 (assume @p528 (forall @t645 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t42 @t435) (=> @t713 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t42) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t42)) @t644))))) % 1.12/1.35 (assume @p529 (forall @t668 (=> @t712 (=> @t711 (= (= @t710 @t709) @t658))))) % 1.12/1.35 (assume @p530 (forall (@list @t434 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t434) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t43)) @t43)))) % 1.12/1.35 (assume @p531 (forall @t688 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t684) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t684))))) % 1.12/1.35 (assume @p532 (forall @t688 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t685)))) % 1.12/1.35 (assume @p533 (forall @t622 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t644 @t435))) % 1.12/1.35 (assume @p534 (forall @t716 (=> @t707 (=> @t715 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t714 (tptp.hAPP @t701 @t684)))))) % 1.12/1.35 (assume @p535 (forall @t45 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t718 @t717)))) % 1.12/1.35 (assume @p536 (forall @t45 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t714 @t719)))) % 1.12/1.35 (assume @p537 (forall @t671 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t435 (tptp.hAPP @t618 @t720)))) % 1.12/1.35 (assume @p538 (forall @t671 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t435 @t720))) % 1.12/1.35 (assume @p539 (forall @t723 (= @t722 @t721))) % 1.12/1.35 (assume @p540 (forall @t622 (=> @t687 @t725))) % 1.12/1.35 (assume @p541 (forall @t623 (=> @t725 @t726))) % 1.12/1.35 (assume @p542 (forall @t656 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t655) (and @t727 @t721)))) % 1.12/1.35 (assume @p543 (forall @t668 (= @t730 @t729))) % 1.12/1.35 (assume @p544 (forall @t663 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t662 @t661) @t729))) % 1.12/1.35 (assume @p545 (forall @t668 (=> @t728 (= @t667 @t658)))) % 1.12/1.35 (assume @p546 (forall @t668 (=> @t728 (= @t730 @t678)))) % 1.12/1.35 (assume @p547 (forall @t45 (=> @t732 (=> @t731 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t714 @t719))))) % 1.12/1.35 (assume @p548 (forall @t45 (=> @t732 (=> @t731 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t718 @t717))))) % 1.12/1.35 (assume @p549 (forall @t681 (=> @t726 (=> @t733 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t644 @t435))))) % 1.12/1.35 (assume @p550 (forall @t734 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t624 @t630)) @t678))) % 1.12/1.35 (assume @p551 (forall @t623 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t597 @t434) @t434))) % 1.12/1.35 (assume @p552 (forall @t671 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t597) @t435))) % 1.12/1.35 (assume @p553 (forall @t656 (= (= @t735 @t597) (and @t670 @t669)))) % 1.12/1.35 (assume @p554 (forall @t622 (=> (= @t689 @t435) @t724))) % 1.12/1.35 (assume @p555 (forall @t681 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t690) @t597))) % 1.12/1.35 (assume @p556 (forall @t723 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t624 @t597) @t669))) % 1.12/1.35 (assume @p557 (forall @t622 (=> @t706 @t673))) % 1.12/1.35 (assume @p558 (forall @t656 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t630 @t624) @t597) @t708))) % 1.12/1.35 (assume @p559 (forall (@list @t44 @t43) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t700 @t43)))) % 1.12/1.35 (assume @p560 (forall (@list @t43 @t44) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t736 @t43)))) % 1.12/1.35 (assume @p561 (forall @t739 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t626 @t738) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t737 @t627)))) % 1.12/1.35 (assume @p562 (forall @t668 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t698 @t697) @t678))) % 1.12/1.35 (assume @p563 (forall @t622 (=> @t741 @t740))) % 1.12/1.35 (assume @p564 (forall @t743 (=> @t732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t742)))) % 1.12/1.35 (assume @p565 (forall @t743 (=> @t732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t744)))) % 1.12/1.35 (assume @p566 (forall @t45 (=> @t732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t745 @t691)))) % 1.12/1.35 (assume @p567 (forall @t716 (=> @t732 (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t745 @t746))))) % 1.12/1.35 (assume @p568 (forall (@list @t434 @t435 @t684 @t42) (=> @t747 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t684) @t692) @t687)))) % 1.12/1.35 (assume @p569 (forall @t45 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t700 @t42) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t42)))) % 1.12/1.35 (assume @p570 (forall @t622 (=> (or @t687 @t672) @t706))) % 1.12/1.35 (assume @p571 (forall @t622 (=> @t706 (=> @t680 @t687)))) % 1.12/1.35 (assume @p572 (forall @t622 (=> @t687 @t706))) % 1.12/1.35 (assume @p573 (forall @t656 (= @t708 (or @t678 @t658)))) % 1.12/1.35 (assume @p574 (forall @t656 (= @t678 (and @t708 @t683)))) % 1.12/1.35 (assume @p575 (forall @t748 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t15) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t75 @t16) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t16 @t75) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t75)))))) % 1.12/1.35 (assume @p576 (forall @t668 (=> @t712 (=> @t711 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t710 @t709) @t678))))) % 1.12/1.35 (assume @p577 (forall @t681 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t689))) % 1.12/1.35 (assume @p578 (forall @t681 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t690))) % 1.12/1.35 (assume @p579 (forall @t656 (= @t708 (exists @t750 (= @t624 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t630 @t749)))))) % 1.12/1.35 (assume @p580 (forall @t753 (=> @t752 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t751) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t745 @t44))))) % 1.12/1.35 (assume @p581 (forall (@list @t626 @t612 @t627) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t738 @t626) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t627 @t737)))) % 1.12/1.35 (assume @p582 (forall @t668 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t698 @t697) @t708))) % 1.12/1.35 (assume @p583 (forall @t743 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t742)))) % 1.12/1.35 (assume @p584 (forall @t743 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t744)))) % 1.12/1.35 (assume @p585 (forall @t754 (=> @t713 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t435 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t690 @t42))))) % 1.12/1.35 (assume @p586 (forall @t45 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t745 @t691)))) % 1.12/1.35 (assume @p587 (forall @t681 (=> @t705 @t740))) % 1.12/1.35 (assume @p588 (forall @t753 (=> @t752 (= @t756 @t755)))) % 1.12/1.35 (assume @p589 (forall (@list @t626 @t627 @t612) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t627) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t626 @t738) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t737 @t627))))) % 1.12/1.35 (assume @p590 (forall @t681 (=> @t705 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t644 @t434) @t435)))) % 1.12/1.35 (assume @p591 (forall @t739 (=> @t634 (= (= @t628 @t612) (= @t627 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t612 @t626)))))) % 1.12/1.35 (assume @p592 (forall @t753 (=> @t752 (= @t755 @t756)))) % 1.12/1.35 (assume @p593 (forall @t753 (=> @t752 (= @t758 @t757)))) % 1.12/1.35 (assume @p594 (forall @t753 (=> @t752 (= @t757 @t758)))) % 1.12/1.35 (assume @p595 (forall @t716 (=> @t707 (=> @t715 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t745 @t746))))) % 1.12/1.35 (assume @p596 (forall @t695 (=> @t759 @t713))) % 1.12/1.35 (assume @p597 (forall @t695 (=> @t759 @t706))) % 1.12/1.35 (assume @p598 (forall @t695 (=> @t759 (not (=> @t706 (not @t713)))))) % 1.12/1.35 (assume @p599 (forall @t638 (=> @t637 (= @t760 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t636 @t624))))) % 1.12/1.35 (assume @p600 (forall (@list @t434 @t435 @t482 @t43 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44 @t43) (= @t761 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 @t639) @t482) @t435) @t434))))) % 1.12/1.35 (assume @p601 (forall @t638 (=> @t637 (= @t762 (= @t636 @t624))))) % 1.12/1.35 (assume @p602 (forall @t635 (=> @t634 (= @t760 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t630 @t629))))) % 1.12/1.35 (assume @p603 (forall (@list @t434 @t435 @t482 @t44 @t43) (=> @t707 (= @t761 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t44 @t43)) @t482) @t434)))))) % 1.12/1.35 (assume @p604 (forall @t635 (=> @t634 (= @t762 (= @t630 @t629))))) % 1.12/1.35 (assume @p605 (forall @t656 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t735) (or @t727 @t721)))) % 1.12/1.35 (assume @p606 (forall @t768 (= @t767 (and (=> @t766 @t765) (forall @t275 (=> @t764 @t763)))))) % 1.12/1.35 (assume @p607 (forall @t768 (= @t767 (not (or (and @t766 @t769) (exists @t275 (and @t764 (not @t763)))))))) % 1.12/1.35 (assume @p608 (forall @t668 (= @t771 @t770))) % 1.12/1.35 (assume @p609 (forall @t663 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t662 @t661) @t770))) % 1.12/1.35 (assume @p610 (forall @t668 (=> @t728 (= @t771 @t708)))) % 1.12/1.35 (assume @p611 (forall @t607 (=> @t150 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t602) @t597) @t605)))) % 1.12/1.35 (assume @p612 (forall (@list @t31 @t602 @t11) (=> @t600 (= (= (tptp.hAPP @t603 @t31) @t136) (or @t605 (not (= (tptp.c_Polynomial_Oorder @t11 @t31 @t602) @t597))))))) % 1.12/1.35 (assume @p613 (forall @t227 (=> @t774 (= (tptp.c_RComplete_Onatceiling @t773) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t772 @t615))))) % 1.12/1.35 (assume @p614 (forall @t227 (=> @t774 (= (tptp.c_RComplete_Onatfloor @t773) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t775 @t615))))) % 1.12/1.35 (assume @p615 (= (tptp.c_RComplete_Onatfloor @t51) @t597)) % 1.12/1.35 (assume @p616 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t597 @t775))) % 1.12/1.35 (assume @p617 (forall @t179 (=> @t267 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t775 (tptp.c_RComplete_Onatfloor @t60))))) % 1.12/1.35 (assume @p618 (= (tptp.c_RComplete_Onatfloor @t7) @t615)) % 1.12/1.35 (assume @p619 (= (tptp.c_RComplete_Onatceiling @t51) @t597)) % 1.12/1.35 (assume @p620 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t597 @t772))) % 1.12/1.35 (assume @p621 (forall @t179 (=> @t267 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t772 (tptp.c_RComplete_Onatceiling @t60))))) % 1.12/1.35 (assume @p622 (= (tptp.c_RComplete_Onatceiling @t7) @t615)) % 1.12/1.35 (assume @p623 (forall @t227 (=> @t776 (= @t775 @t597)))) % 1.12/1.35 (assume @p624 (forall @t227 (=> @t776 (= @t772 @t597)))) % 1.12/1.35 (assume @p625 (forall @t509 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t615 @t777) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t46)))) % 1.12/1.35 (assume @p626 (forall @t509 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t778 @t615) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t7)))) % 1.12/1.35 (assume @p627 (forall @t780 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t16) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t15) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t617 @t779) (tptp.c_RComplete_Onatfloor @t15)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t277 @t16) @t15))))))) % 1.12/1.35 (assume @p628 (forall (@list @t16 @t571 @t11) (=> @t600 (=> @t599 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder @t11 @t16 @t571) @t583))))) % 1.12/1.35 (assume @p629 (forall @t586 (=> @t578 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t782) (tptp.hAPP @t781 @t582))))) % 1.12/1.35 (assume @p630 (forall (@list @t282 @t601 @t52 @t46 @t11) (=> @t371 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t46 @t52 @t601 @t282) (and (= @t46 (tptp.c_Groups_Oplus__class_Oplus @t567 (tptp.hAPP (tptp.hAPP @t579 @t601) @t52) @t282)) (=> @t784 @t785) (=> (not @t784) (or @t783 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t282) (tptp.c_Polynomial_Odegree @t11 @t52))))))))) % 1.12/1.35 (assume @p631 (forall @t787 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t38) @t786))) % 1.12/1.35 (assume @p632 (forall @t26 (=> @t371 (tptp.c_Polynomial_Opdivmod__rel @t11 @t24 @t594 @t594 @t24)))) % 1.12/1.35 (assume @p633 (forall @t145 (=> @t371 (tptp.c_Polynomial_Opdivmod__rel @t11 @t594 @t60 @t594 @t594)))) % 1.12/1.35 (assume @p634 (forall (@list @t282 @t601 @t46 @t11) (=> @t371 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t46 @t594 @t601 @t282) (and @t785 (= @t282 @t46)))))) % 1.12/1.35 (assume @p635 (forall (@list @t282 @t601 @t52 @t11) (=> @t371 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t594 @t52 @t601 @t282) (and @t785 @t783))))) % 1.12/1.35 (assume @p636 (forall @t796 (=> @t371 (=> @t795 (=> @t794 (and @t793 @t790)))))) % 1.12/1.35 (assume @p637 (forall @t796 (=> @t371 (=> @t795 (=> @t794 @t790))))) % 1.12/1.35 (assume @p638 (forall @t796 (=> @t371 (=> @t795 (=> @t794 @t793))))) % 1.12/1.35 (assume @p639 (forall @t596 (=> @t578 (= (tptp.c_Polynomial_Opcompose @t11 @t594 @t569) @t594)))) % 1.12/1.35 (assume @p640 (forall @t576 (=> @t578 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t782) @t24) (tptp.hAPP @t572 @t570))))) % 1.12/1.35 (assume @p641 (forall (@list @t797 @t799 @t38 @t138 @t569 @t60 @t24 @t11) (=> @t371 (=> @t801 (=> (tptp.c_Polynomial_Opdivmod__rel @t11 @t569 @t38 @t799 @t797) (tptp.c_Polynomial_Opdivmod__rel @t11 @t24 @t800 @t799 (tptp.c_Groups_Oplus__class_Oplus @t567 (tptp.hAPP @t798 @t797) @t138))))))) % 1.12/1.35 (assume @p642 (forall @t268 (=> @t682 @t802))) % 1.12/1.35 (assume @p643 (forall @t787 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t38) @t802))) % 1.12/1.35 (assume @p644 (forall @t179 (=> @t682 @t803))) % 1.12/1.35 (assume @p645 (forall @t268 (=> @t803 @t786))) % 1.12/1.35 (assume @p646 (forall @t806 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t804 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t805) (= @t772 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t615)))))) % 1.12/1.35 (assume @p647 (forall (@list @t624 @t674) (=> @t769 (=> @t811 (exists @t750 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t749 @t624) (forall @t810 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t807 @t749) (not @t809))) (tptp.hBOOL (tptp.hAPP @t674 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t749 @t615))))))))) % 1.12/1.35 (assume @p648 (forall @t26 (=> @t310 (exists @t538 (and @t610 @t543))))) % 1.12/1.35 (assume @p649 (forall @t623 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t804))) % 1.12/1.35 (assume @p650 (forall @t734 (= (= @t813 @t812) (= @t624 @t630)))) % 1.12/1.35 (assume @p651 (forall @t227 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t814) @t814))) % 1.12/1.35 (assume @p652 (forall @t623 (= (tptp.c_RComplete_Onatceiling @t804) @t434))) % 1.12/1.35 (assume @p653 (forall @t623 (= (tptp.c_RComplete_Onatfloor @t804) @t434))) % 1.12/1.35 (assume @p654 (forall @t723 (= (= @t813 @t51) @t669))) % 1.12/1.35 (assume @p655 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t597) @t51)) % 1.12/1.35 (assume @p656 (forall @t623 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t804 @t51)))) % 1.12/1.35 (assume @p657 (forall @t734 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t813 @t812) @t677))) % 1.12/1.35 (assume @p658 (forall @t734 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t813 @t812) @t815))) % 1.12/1.35 (assume @p659 (forall @t622 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t619) (tptp.hAPP (tptp.hAPP @t277 @t816) @t804)))) % 1.12/1.35 (assume @p660 (forall @t622 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t689) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t816 @t804)))) % 1.12/1.35 (assume @p661 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t615) @t7)) % 1.12/1.35 (assume @p662 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t772)))) % 1.12/1.35 (assume @p663 (forall @t723 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t813 @t51) @t669))) % 1.12/1.35 (assume @p664 (forall @t681 (=> @t705 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t644) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t816 @t804))))) % 1.12/1.35 (assume @p665 (forall @t227 (=> @t774 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t817 @t24)))) % 1.12/1.35 (assume @p666 (forall @t818 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t814 @t16) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t779)))) % 1.12/1.35 (assume @p667 (forall @t818 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t819) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t772 @t16)))) % 1.12/1.35 (assume @p668 (forall @t723 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t813) @t721))) % 1.12/1.35 (assume @p669 (forall @t734 (= @t677 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t813 @t7) @t812)))) % 1.12/1.35 (assume @p670 (forall @t734 (= @t815 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t813 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t812 @t7))))) % 1.12/1.35 (assume @p671 (forall @t821 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t31 @t777) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t820 @t46))))) % 1.12/1.35 (assume @p672 (forall @t821 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t778 @t31) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t820))))) % 1.12/1.35 (assume @p673 (forall @t227 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t817 @t7)))) % 1.12/1.35 (assume @p674 (forall @t824 (=> @t823 (= (tptp.c_RComplete_Onatfloor @t822) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t775 @t16))))) % 1.12/1.35 (assume @p675 (forall @t227 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t7) @t817))) % 1.12/1.35 (assume @p676 (forall @t824 (=> @t823 (= (tptp.c_RComplete_Onatceiling @t822) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t772 @t16))))) % 1.12/1.35 (assume @p677 (forall @t825 (=> @t774 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t804) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t775 @t434))))) % 1.12/1.35 (assume @p678 (forall @t818 (=> @t774 (= (tptp.c_RComplete_Onatfloor @t826) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t775 @t16))))) % 1.12/1.35 (assume @p679 (forall @t827 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t38) @t615) @t434) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t804)))) % 1.12/1.35 (assume @p680 (forall @t806 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t804 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t805) (= @t775 @t434))))) % 1.12/1.35 (assume @p681 (forall @t818 (=> @t774 (= (tptp.c_RComplete_Onatceiling @t826) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t772 @t16))))) % 1.12/1.35 (assume @p682 (forall @t139 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t138) (exists @t614 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t611 @t615)) @t138) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t138 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t611))))))) % 1.12/1.35 (assume @p683 (forall @t179 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t60) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t24 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t60))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t775 @t60)))))) % 1.12/1.35 (assume @p684 (forall @t145 (=> @t310 (exists @t538 (and @t610 @t545))))) % 1.12/1.35 (assume @p685 (forall @t645 (and (=> @t831 (= @t829 @t597)) (=> (not @t831) @t830)))) % 1.12/1.35 (assume @p686 (forall @t645 (=> @t731 @t830))) % 1.12/1.35 (assume @p687 (forall @t806 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t833 @t832))) % 1.12/1.35 (assume @p688 (forall @t806 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t834))) % 1.12/1.35 (assume @p689 (forall @t806 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t834 @t7))) % 1.12/1.35 (assume @p690 (forall @t840 (= (tptp.hBOOL (tptp.hAPP @t674 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t624 @t612))) (and (=> @t657 @t765) (=> @t839 (forall @t838 (=> @t837 (=> @t836 @t809)))))))) % 1.12/1.35 (assume @p691 (forall @t681 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t615 @t434) (=> @t733 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t828 @t435))))) % 1.12/1.35 (assume @p692 (forall @t681 (=> @t726 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t619 @t434) @t435)))) % 1.12/1.35 (assume @p693 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t136 @t16) @t136)))) % 1.12/1.35 (assume @p694 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t16 @t136) @t136)))) % 1.12/1.35 (assume @p695 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t16 @t12) @t16)))) % 1.12/1.35 (assume @p696 (forall @t622 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t828 @t435))) % 1.12/1.35 (assume @p697 (forall @t649 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t435 @t42) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t434 @t42))))) % 1.12/1.35 (assume @p698 (forall @t748 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t16 @t844) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t842 @t75)))) % 1.12/1.35 (assume @p699 (forall @t259 (=> @t841 @t847))) % 1.12/1.35 (assume @p700 (forall @t259 (=> @t841 (=> @t360 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t320 @t301) @t845))))) % 1.12/1.35 (assume @p701 (forall @t74 (=> @t841 (=> @t183 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t384 @t15) @t16))))) % 1.12/1.35 (assume @p702 (forall @t74 (=> @t841 (=> @t183 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t303 @t15) @t16))))) % 1.12/1.35 (assume @p703 (forall @t259 (=> @t841 (and (=> @t359 (= @t846 @t136)) @t847)))) % 1.12/1.35 (assume @p704 (forall @t141 (=> @t841 (=> @t158 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t16 @t16) @t12))))) % 1.12/1.35 (assume @p705 (forall @t622 (=> @t687 (= @t828 @t597)))) % 1.12/1.35 (assume @p706 (forall @t83 (=> @t841 (=> @t183 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t849 @t15) @t848))))) % 1.12/1.35 (assume @p707 (forall @t83 (=> @t841 (=> @t183 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t850 @t15) @t848))))) % 1.12/1.35 (assume @p708 (forall @t74 (=> @t841 (=> @t183 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t122 @t15) @t851))))) % 1.12/1.35 (assume @p709 (forall @t74 (=> @t841 (=> @t183 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t195 @t15) @t851))))) % 1.12/1.35 (assume @p710 (forall @t649 (=> @t733 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t42 @t434) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t42 @t435)))))) % 1.12/1.35 (assume @p711 (forall @t681 (=> @t726 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t650 @t434) @t435)))) % 1.12/1.35 (assume @p712 (forall @t64 (=> @t281 (=> (forall @t559 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t557) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t557 @t12) (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.hAPP (tptp.hAPP @t290 @t557) @t24) @t60)))) @t94)))) % 1.12/1.35 (assume @p713 (forall (@list @t24 @t230) (=> @t853 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t814 @t852) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t24 @t230)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t24 @t230)) @t852)))))) % 1.12/1.35 (assume @p714 (forall (@list @t75 @t571 @t11) (=> @t578 (= (tptp.c_Polynomial_Odegree @t11 (tptp.c_Polynomial_Osynthetic__div @t11 @t571 @t75)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t583 @t615))))) % 1.12/1.35 (assume @p715 (forall @t748 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t16 @t15) @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t16 @t75) @t855) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t16 @t75) @t854) @t75))))) % 1.12/1.35 (assume @p716 (forall @t23 (=> @t841 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t856 @t15) @t136)))) % 1.12/1.35 (assume @p717 (forall @t754 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t642 @t435) @t434) @t857))) % 1.12/1.35 (assume @p718 (forall @t80 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t850 @t15) @t856)))) % 1.12/1.35 (assume @p719 (forall @t258 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t849 @t15) @t856)))) % 1.12/1.35 (assume @p720 (forall @t681 (=> @t705 @t858))) % 1.12/1.35 (assume @p721 (forall @t622 @t859)) % 1.12/1.35 (assume @p722 (forall @t622 (and @t860 @t859))) % 1.12/1.35 (assume @p723 (forall @t74 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t384 @t15) @t136)))) % 1.12/1.35 (assume @p724 (forall @t23 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t303 @t15) @t136)))) % 1.12/1.35 (assume @p725 (forall @t861 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t630 @t28) @t597) (exists @t609 (= @t630 (tptp.hAPP (tptp.hAPP @t617 @t28) @t608)))))) % 1.12/1.35 (assume @p726 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t16 @t12) @t136)))) % 1.12/1.35 (assume @p727 (forall @t868 (=> @t867 (=> @t866 (=> @t864 (= @t862 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t326 @t335) @t75))))))) % 1.12/1.35 (assume @p728 (forall @t80 (=> @t867 (= @t862 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t865 @t863) @t75))))) % 1.12/1.35 (assume @p729 (forall @t80 (=> @t867 (= @t862 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t865 @t15) @t75))))) % 1.12/1.35 (assume @p730 (forall @t80 (=> @t867 (= @t862 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t16 @t863) @t75))))) % 1.12/1.35 (assume @p731 (forall @t868 (=> @t841 (=> @t866 (=> @t864 (= @t869 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t327 @t335) @t75))))))) % 1.12/1.35 (assume @p732 (forall @t258 (=> @t841 (= @t871 @t869)))) % 1.12/1.35 (assume @p733 (forall @t258 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t320 @t301) (tptp.hAPP (tptp.hAPP @t290 @t856) @t75))))) % 1.12/1.35 (assume @p734 (forall @t259 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t363 @t362) (tptp.hAPP @t361 @t856))))) % 1.12/1.35 (assume @p735 (forall @t80 (=> @t841 (= @t869 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t870 @t863) @t75))))) % 1.12/1.35 (assume @p736 (forall @t80 (=> @t841 (= @t869 @t871)))) % 1.12/1.35 (assume @p737 (forall @t80 (=> @t841 (= @t869 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t302 @t863) @t75))))) % 1.12/1.35 (assume @p738 (forall @t649 (= (tptp.hAPP (tptp.hAPP @t617 @t857) @t42) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t648 @t647)))) % 1.12/1.35 (assume @p739 (forall @t645 (= (tptp.hAPP @t641 @t857) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t643 @t642)))) % 1.12/1.35 (assume @p740 (forall @t23 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t856 @t15) @t856)))) % 1.12/1.35 (assume @p741 (forall @t622 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t857 @t435))) % 1.12/1.35 (assume @p742 (forall @t622 @t860)) % 1.12/1.35 (assume @p743 (forall @t681 (=> @t726 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t857 @t434)))) % 1.12/1.35 (assume @p744 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t16 @t16) @t136)))) % 1.12/1.35 (assume @p745 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t16 @t136) @t16)))) % 1.12/1.35 (assume @p746 (forall @t141 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t136 @t16) @t136)))) % 1.12/1.35 (assume @p747 (forall @t868 (=> @t841 (=> @t866 (=> @t864 (= @t872 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t326 @t335) @t75))))))) % 1.12/1.35 (assume @p748 (forall @t258 (=> @t841 (= @t873 @t872)))) % 1.12/1.35 (assume @p749 (forall @t80 (=> @t841 (= @t874 @t872)))) % 1.12/1.35 (assume @p750 (forall @t80 (=> @t841 (= @t872 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t865 @t863) @t75))))) % 1.12/1.35 (assume @p751 (forall @t80 (=> @t841 (= @t872 @t873)))) % 1.12/1.35 (assume @p752 (forall @t80 (=> @t841 (= @t872 @t874)))) % 1.12/1.35 (assume @p753 (forall @t74 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t195 @t15) @t856)))) % 1.12/1.35 (assume @p754 (forall @t23 (=> @t841 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t122 @t15) @t856)))) % 1.12/1.35 (assume @p755 (forall @t876 (=> @t371 (=> @t801 (= @t875 @t569))))) % 1.12/1.35 (assume @p756 (forall @t88 (=> @t371 (= (tptp.c_Divides_Odiv__class_Odiv @t567 @t24 @t800) (tptp.c_Divides_Odiv__class_Odiv @t567 @t875 @t38))))) % 1.12/1.35 (assume @p757 (forall (@list @t75 @t11) (=> @t578 (= (tptp.c_Polynomial_Osynthetic__div @t11 @t594 @t75) @t594)))) % 1.12/1.35 (assume @p758 (forall @t80 (=> @t841 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t878 @t75) @t188)))) % 1.12/1.35 (assume @p759 (forall @t83 (=> @t841 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t879 @t75) @t188)))) % 1.12/1.35 (assume @p760 (forall @t23 (=> @t841 (= @t878 @t16)))) % 1.12/1.35 (assume @p761 (forall @t74 (=> @t841 (= @t879 @t16)))) % 1.12/1.35 (assume @p762 (forall @t23 (=> @t841 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t856 @t877) @t16)))) % 1.12/1.35 (assume @p763 (forall @t681 (=> @t726 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t857 @t434)))) % 1.12/1.35 (assume @p764 (forall @t748 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t880 @t15) @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t880 @t855) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t880 @t854) @t75))))) % 1.12/1.35 (assume @p765 (forall @t748 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t16 @t844) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t843 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t842 @t75)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t16 @t15))))) % 1.12/1.35 (assume @p766 (forall @t622 (= @t857 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t881)))) % 1.12/1.35 (assume @p767 (forall @t681 (= (tptp.hAPP @t646 @t828) @t882))) % 1.12/1.35 (assume @p768 (forall @t622 (= @t881 @t882))) % 1.12/1.35 (assume @p769 (forall @t64 (=> @t371 (=> @t884 (= @t875 @t594))))) % 1.12/1.35 (assume @p770 (forall @t840 (= (tptp.hBOOL (tptp.hAPP @t674 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t624 @t612))) (and (=> @t657 @t811) (=> @t839 (forall @t838 (=> @t837 (=> @t836 @t885)))))))) % 1.12/1.35 (assume @p771 (forall @t886 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t75) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t138 @t15) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t843 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t569 @t75)) @t138) @t844))))) % 1.12/1.35 (assume @p772 (forall (@list @t29 @t602 @t11) (=> @t578 (= (= (tptp.c_Polynomial_Osynthetic__div @t11 @t602 @t29) @t594) (= (tptp.c_Polynomial_Odegree @t11 @t602) @t597))))) % 1.12/1.35 (assume @p773 (= (tptp.c_Complex_Oexpi @t544) @t539)) % 1.12/1.35 (assume @p774 (forall @t555 (=> @t554 (=> @t553 (exists @t275 (and @t274 (forall @t552 (=> @t551 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t128) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t128 @t15)))))))))) % 1.12/1.35 (assume @p775 (forall @t876 (=> @t371 (=> @t801 (= @t887 @t138))))) % 1.12/1.35 (assume @p776 (forall @t64 (=> @t371 (=> @t884 (= @t887 @t24))))) % 1.12/1.35 (assume @p777 (forall @t64 (=> @t371 (tptp.c_Polynomial_Opdivmod__rel @t11 @t24 @t60 @t875 @t887)))) % 1.12/1.35 (assume @p778 (forall @t88 (=> @t371 (= (tptp.c_Divides_Odiv__class_Omod @t567 @t24 @t800) (tptp.c_Groups_Oplus__class_Oplus @t567 (tptp.hAPP @t798 (tptp.c_Divides_Odiv__class_Omod @t567 @t875 @t38)) @t887))))) % 1.12/1.35 (assume @p779 (forall @t103 (=> @t371 (=> (not (= @t60 @t594)) (or (= @t887 @t594) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t887) @t883)))))) % 1.12/1.35 (assume @p780 (forall @t780 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t16 @t15)) (tptp.hAPP (tptp.hAPP @t888 (tptp.c_Complex_Oexpi @t16)) (tptp.c_Complex_Oexpi @t15))))) % 1.12/1.35 (assume @p781 (forall (@list @t434 @t230) (=> @t853 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t230 @t434) (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t434 @t230)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t804 @t852)))))) % 1.12/1.35 (assume @p782 (forall (@list @t890 @t889 @t11 @t50) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t50) @t79) (=> (forall @t614 (=> @t893 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t50 (tptp.c_Groups_Ominus__class_Ominus @t50 @t891 @t892)) @t7))) (forall @t614 (=> @t893 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t50 @t892) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm @t50 @t891))))))))) % 1.12/1.35 (assume @p783 (forall @t227 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t24))) % 1.12/1.35 (assume @p784 (forall @t141 (=> @t510 (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t136)))) % 1.12/1.35 (assume @p785 (forall @t428 (=> @t841 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t38 @t24) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t38 @t60) (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t168 @t38) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Divides_Odiv__class_Odiv @t11 @t24 @t38) (tptp.c_Divides_Odiv__class_Odiv @t11 @t60 @t38)))))))) % 1.12/1.35 (assume @p786 (forall @t173 (=> @t841 (=> @t895 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t31 @t29) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t894 (tptp.c_Divides_Odiv__class_Odiv @t11 @t29 @t31)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t30 @t29))))))) % 1.12/1.35 (assume @p787 (forall @t23 (=> @t841 (=> @t897 (= (tptp.hAPP @t302 @t896) @t15))))) % 1.12/1.35 (assume @p788 (forall @t206 (=> @t841 (=> @t898 (= (tptp.hAPP @t302 (tptp.c_Divides_Odiv__class_Odiv @t11 @t15 @t75)) (tptp.c_Divides_Odiv__class_Odiv @t11 @t303 @t75)))))) % 1.12/1.35 (assume @p789 (forall @t23 (=> @t841 (=> @t897 (= (tptp.hAPP @t899 @t16) @t15))))) % 1.12/1.35 (assume @p790 (forall @t80 (=> @t841 (=> @t897 (= (tptp.hAPP @t899 @t75) (tptp.c_Divides_Odiv__class_Odiv @t11 @t301 @t16)))))) % 1.12/1.35 (assume @p791 (forall (@list @t37 @t38 @t24 @t60 @t11) (=> @t841 (=> @t901 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t38 @t37) (= (tptp.hAPP (tptp.hAPP @t290 @t900) (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t38)) (tptp.c_Divides_Odiv__class_Odiv @t11 (tptp.hAPP @t291 @t37) @t430))))))) % 1.12/1.35 (assume @p792 (forall @t905 (=> @t841 (=> @t904 (=> @t903 @t902))))) % 1.12/1.35 (assume @p793 (forall @t905 (=> @t841 (=> @t902 (=> @t903 @t904))))) % 1.12/1.35 (assume @p794 (forall @t206 (=> @t841 (=> @t898 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t856 @t75) @t865))))) % 1.12/1.35 (assume @p795 (forall (@list @t630 @t624 @t612 @t11) (=> @t841 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t612 @t624) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t612 (tptp.c_Divides_Odiv__class_Omod @t11 @t630 @t624)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t612 @t630)))))) % 1.12/1.35 (assume @p796 (forall @t23 (=> @t841 (=> @t897 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t15 @t16) @t136))))) % 1.12/1.35 (assume @p797 (forall @t270 (=> @t841 (= @t895 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t30 @t31) @t136))))) % 1.12/1.35 (assume @p798 (forall @t249 (=> @t600 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t351 @t421) @t906)))) % 1.12/1.35 (assume @p799 (forall @t251 (=> @t600 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t416 @t415) @t906)))) % 1.12/1.35 (assume @p800 (forall @t80 (=> @t510 (=> @t897 (=> @t907 (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t162)))))) % 1.12/1.35 (assume @p801 (forall @t141 (=> @t510 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t136 @t16) @t157)))) % 1.12/1.35 (assume @p802 (forall (@list @t42 @t684 @t11) (=> @t121 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t684) (tptp.c_Groups_Oabs__class_Oabs @t11 @t42)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t684 @t42))))) % 1.12/1.35 (assume @p803 (forall @t909 (=> @t121 (= (tptp.c_Rings_Odvd__class_Odvd @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t630) @t612) @t908)))) % 1.12/1.35 (assume @p804 (forall @t909 (=> @t121 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t630 (tptp.c_Groups_Oabs__class_Oabs @t11 @t612)) @t908)))) % 1.12/1.35 (assume @p805 (forall @t80 (=> @t510 (=> @t897 (=> @t910 @t907))))) % 1.12/1.35 (assume @p806 (forall @t141 (=> @t510 (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t16)))) % 1.12/1.35 (assume @p807 (forall (@list @t630) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t630 @t615) @t652))) % 1.12/1.35 (assume @p808 (forall @t141 (=> @t510 (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t16)))) % 1.12/1.35 (assume @p809 (forall @t23 (=> @t510 (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t303)))) % 1.12/1.35 (assume @p810 (forall @t23 (=> @t510 (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t384)))) % 1.12/1.35 (assume @p811 (forall @t80 (=> @t510 (=> @t897 @t911)))) % 1.12/1.35 (assume @p812 (forall @t258 (=> @t510 (=> @t907 @t911)))) % 1.12/1.35 (assume @p813 (forall @t235 (=> @t510 (=> @t897 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t75 @t230) (tptp.c_Rings_Odvd__class_Odvd @t11 @t320 @t377)))))) % 1.12/1.35 (assume @p814 (forall (@list @t42 @t15 @t16 @t11) (=> @t912 (=> (= @t16 (tptp.hAPP @t300 @t42)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t15 @t16))))) % 1.12/1.35 (assume @p815 (forall @t80 (=> @t510 (=> @t913 @t907)))) % 1.12/1.35 (assume @p816 (forall @t80 (=> @t510 (=> @t913 @t910)))) % 1.12/1.35 (assume @p817 (forall @t88 (=> (tptp.class_Rings_Ocomm__ring__1 @t11) (=> @t914 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t24 @t38) (tptp.c_Rings_Odvd__class_Odvd @t11 @t24 (tptp.c_Groups_Ominus__class_Ominus @t11 @t60 @t38))))))) % 1.12/1.35 (assume @p818 (forall @t645 (=> @t917 (=> @t916 @t915)))) % 1.12/1.35 (assume @p819 (forall @t179 (=> @t920 (not (and @t919 (not @t918)))))) % 1.12/1.35 (assume @p820 (forall @t268 (=> @t920 @t924))) % 1.12/1.35 (assume @p821 (forall @t780 (=> @t927 (not (and @t926 (not @t925)))))) % 1.12/1.35 (assume @p822 (forall @t268 (=> @t920 (=> @t923 @t922)))) % 1.12/1.35 (assume @p823 (forall @t748 (=> @t927 (=> @t82 @t929)))) % 1.12/1.35 (assume @p824 (forall @t179 (=> @t920 @t71))) % 1.12/1.35 (assume @p825 (forall @t179 (=> @t920 @t68))) % 1.12/1.35 (assume @p826 (forall @t179 (=> @t920 @t918))) % 1.12/1.35 (assume @p827 (forall @t268 (=> @t918 @t924))) % 1.12/1.35 (assume @p828 (forall @t748 (=> @t78 (=> (and @t930 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t75 @t15))) @t929)))) % 1.12/1.35 (assume @p829 (forall @t268 (=> @t918 (=> @t923 @t921)))) % 1.12/1.35 (assume @p830 (forall @t179 (=> @t918 (=> @t919 @t62)))) % 1.12/1.35 (assume @p831 (forall @t622 (=> @t932 (=> @t931 @t672)))) % 1.12/1.35 (assume @p832 (forall @t748 (=> @t925 (=> @t82 @t928)))) % 1.12/1.35 (assume @p833 (forall @t748 (=> @t78 (=> @t930 @t928)))) % 1.12/1.35 (assume @p834 (forall @t780 (=> @t925 (=> @t97 @t927)))) % 1.12/1.35 (assume @p835 (forall @t179 (=> @t918 (or @t920 @t62)))) % 1.12/1.35 (assume @p836 (forall (@list @t46 @t52) (=> @t934 (= @t933 @t55)))) % 1.12/1.35 (assume @p837 (forall @t179 (=> @t62 @t918))) % 1.12/1.35 (assume @p838 (forall @t780 (=> @t97 (=> @t925 @t927)))) % 1.12/1.35 (assume @p839 (forall @t109 (= @t935 (and @t933 @t56)))) % 1.12/1.35 (assume @p840 (forall @t109 (= @t933 (or @t935 @t55)))) % 1.12/1.35 (assume @p841 (forall @t109 (= @t55 (and @t933 @t934)))) % 1.12/1.35 (assume @p842 (forall (@list @t624 @t612) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t612 @t696) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t612 @t624)))) % 1.12/1.35 (assume @p843 (forall @t645 (=> @t915 (=> @t916 (=> @t705 @t917))))) % 1.12/1.35 (assume @p844 (forall @t645 (=> @t915 (=> @t917 (=> @t705 @t916))))) % 1.12/1.35 (assume @p845 (forall @t668 (= @t937 (or @t657 @t936)))) % 1.12/1.35 (assume @p846 (forall @t622 (=> @t733 (=> @t687 (not @t931))))) % 1.12/1.35 (assume @p847 (forall (@list @t28 @t30 @t29 @t31 @t11) (=> @t841 (=> @t200 (=> @t353 (=> @t895 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t29 @t28) (= (= @t894 (tptp.c_Divides_Odiv__class_Odiv @t11 @t28 @t29)) (= @t421 @t533))))))))) % 1.12/1.35 (assume @p848 (forall @t173 (=> @t841 (=> @t200 (=> @t895 (= (= @t894 @t29) (= @t30 @t416))))))) % 1.12/1.35 (assume @p849 (forall (@list @t434 @t42) (=> @t916 (=> @t726 @t713)))) % 1.12/1.35 (assume @p850 (forall @t645 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t643 @t642) (=> @t731 @t932)))) % 1.12/1.35 (assume @p851 (forall @t668 (=> @t728 (= @t937 @t936)))) % 1.12/1.35 (assume @p852 (forall @t656 (=> @t727 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t655 @t630) @t651)))) % 1.12/1.35 (assume @p853 (forall @t656 (=> @t727 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t660 @t630) @t630) @t651)))) % 1.12/1.35 (assume @p854 (forall (@list @t938 @t939 @t28 @t11) (=> (and @t575 @t912) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t28 @t939) (forall (@list @t3 @t749) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t28 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t938)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t28 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t3 (tptp.hAPP (tptp.hAPP @t290 @t749) @t939)) @t938)))))))) % 1.12/1.35 (assume @p855 (forall @t586 (=> @t600 (=> (tptp.c_Rings_Odvd__class_Odvd @t567 @t571 @t569) (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t583 @t582)))))) % 1.12/1.35 (assume @p856 (forall (@list @t613 @t674 @t11) (=> (and @t912 @t940) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t674 (tptp.hAPP (tptp.hAPP @t290 @t613) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t11 @t613 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t136)) (tptp.hBOOL (tptp.hAPP @t674 @t3)))))))) % 1.12/1.35 (assume @p857 (forall @t681 (=> @t726 (=> @t932 @t733)))) % 1.12/1.35 (assume @p858 (forall @t227 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t615 @t24))) % 1.12/1.35 (assume @p859 (forall @t227 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t597))) % 1.12/1.35 (assume @p860 (forall (@list @t890 @t11) (=> @t70 (= (tptp.c_SEQ_Odecseq @t11 @t890) (forall (@list @t556 @t611) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t556 @t611) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t892 (tptp.hAPP @t890 @t556)))))))) % 1.12/1.35 (assume @p861 (forall @t825 (=> @t774 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t277 @t804) @t24) @t7) (tptp.hAPP (tptp.hAPP @t941 @t773) @t434))))) % 1.12/1.35 (assume @p862 (forall (@list @t434 @t24 @t60 @t11) (=> @t841 (=> @t901 (= (tptp.hAPP (tptp.hAPP @t942 @t900) @t434) (tptp.c_Divides_Odiv__class_Odiv @t11 @t946 @t944)))))) % 1.12/1.35 (assume @p863 (forall (@list @t569 @t60 @t24 @t11) (=> @t510 (= (tptp.hAPP (tptp.hAPP @t942 @t292) @t569) (tptp.hAPP (tptp.hAPP @t290 @t947) (tptp.hAPP @t943 @t569)))))) % 1.12/1.35 (assume @p864 (forall @t950 (=> @t510 (= (tptp.hAPP (tptp.hAPP @t942 @t949) @t569) (tptp.hAPP @t945 (tptp.hAPP @t948 @t569)))))) % 1.12/1.35 (assume @p865 (forall @t950 (=> @t510 (= (tptp.hAPP (tptp.hAPP @t290 @t949) @t947) (tptp.hAPP @t945 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t571 @t569)))))) % 1.12/1.35 (assume @p866 (forall @t26 (=> @t510 (= (tptp.hAPP @t945 @t597) @t12)))) % 1.12/1.35 (assume @p867 (forall @t26 (=> @t510 (= (tptp.hAPP @t945 @t615) @t24)))) % 1.12/1.35 (assume @p868 (forall (@list @t24 @t434 @t571 @t11) (=> @t510 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t951) @t24) (tptp.hAPP (tptp.hAPP @t942 @t573) @t434))))) % 1.12/1.35 (assume @p869 (forall @t954 (=> @t294 (= @t953 @t952)))) % 1.12/1.35 (assume @p870 (forall @t954 (=> @t13 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t953 @t952)))) % 1.12/1.35 (assume @p871 (forall (@list @t435 @t434 @t11) (=> @t958 (and (=> @t724 (= @t957 @t12)) (=> @t725 (= @t957 (tptp.hAPP @t436 (tptp.hAPP @t956 @t955)))))))) % 1.12/1.35 (assume @p872 (forall @t959 (=> @t340 (=> @t726 (= (tptp.hAPP (tptp.hAPP @t290 (tptp.hAPP @t945 @t955)) @t24) @t946))))) % 1.12/1.35 (assume @p873 (forall @t964 (=> @t192 (=> @t73 (=> @t199 (=> @t726 @t963)))))) % 1.12/1.35 (assume @p874 (forall (@list @t435 @t434 @t16 @t11) (=> @t371 (=> @t158 (=> @t705 (= (tptp.hAPP @t961 @t644) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t965 @t962))))))) % 1.12/1.35 (assume @p875 (forall @t967 (=> @t722 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t966 @t31) @t624) (tptp.hAPP (tptp.hAPP @t966 @t30) @t624)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t31 @t30))))) % 1.12/1.35 (assume @p876 (forall @t967 (=> @t722 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t968 @t31) @t624) (tptp.hAPP (tptp.hAPP @t968 @t30) @t624)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t31 @t30))))) % 1.12/1.35 (assume @p877 (forall @t970 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t966 @t16) @t434) (tptp.hAPP (tptp.hAPP @t966 @t15) @t434)) (=> @t725 @t969)))) % 1.12/1.35 (assume @p878 (forall @t970 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t968 @t16) @t434) (tptp.hAPP (tptp.hAPP @t968 @t15) @t434)) (=> @t725 @t925)))) % 1.12/1.35 (assume @p879 (forall @t974 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t973 @t972) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t615 @t43) @t706)))) % 1.12/1.35 (assume @p880 (forall @t268 (= (tptp.hAPP (tptp.hAPP @t966 @t976) @t38) (tptp.hAPP @t975 (tptp.hAPP (tptp.hAPP @t617 @t60) @t38))))) % 1.12/1.35 (assume @p881 (forall @t268 (= (tptp.hAPP @t975 @t699) (tptp.hAPP (tptp.hAPP @t977 @t976) (tptp.hAPP @t975 @t38))))) % 1.12/1.35 (assume @p882 (forall @t978 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 (tptp.hAPP (tptp.hAPP @t968 @t46) @t624)) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t46) @t669)))) % 1.12/1.35 (assume @p883 (forall @t974 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t43) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t973 @t972) @t687)))) % 1.12/1.35 (assume @p884 (forall @t978 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 (tptp.hAPP (tptp.hAPP @t966 @t980) @t624)) (or (not (= @t46 @t979)) @t669)))) % 1.12/1.35 (assume @p885 (forall @t622 (= @t982 @t981))) % 1.12/1.35 (assume @p886 (forall @t622 (= @t981 @t982))) % 1.12/1.35 (assume @p887 (forall (@list @t434 @t571 @t11) (=> @t510 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t951) (tptp.hAPP @t781 @t434))))) % 1.12/1.35 (assume @p888 (forall @t825 (=> (= @t24 @t817) (= (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t941 @t24) @t434)) (tptp.hAPP (tptp.hAPP @t968 @t775) @t434))))) % 1.12/1.35 (assume @p889 (forall (@list @t571 @t435) (and (=> @t620 (= @t984 @t615)) (=> @t621 (= @t984 (tptp.hAPP @t948 (tptp.hAPP @t983 @t616))))))) % 1.12/1.35 (assume @p890 (forall @t985 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t11) (=> @t158 (not (= @t962 @t136)))))) % 1.12/1.35 (assume @p891 (forall @t964 (=> @t339 (= (tptp.hAPP (tptp.hAPP @t942 @t303) @t434) (tptp.hAPP @t986 @t960))))) % 1.12/1.35 (assume @p892 (forall @t985 (=> @t340 (= (tptp.hAPP @t986 @t16) @t987)))) % 1.12/1.35 (assume @p893 (forall @t988 (=> @t340 (= (tptp.hAPP (tptp.hAPP @t942 @t12) @t434) @t12)))) % 1.12/1.35 (assume @p894 (forall (@list @t434 @t60 @t24 @t11) (=> @t510 (=> @t914 (tptp.c_Rings_Odvd__class_Odvd @t11 @t946 @t944))))) % 1.12/1.35 (assume @p895 (forall @t964 (=> @t212 @t989))) % 1.12/1.35 (assume @p896 (forall @t990 (=> @t340 (= (tptp.hAPP @t961 @t619) (tptp.hAPP (tptp.hAPP @t942 @t965) @t434))))) % 1.12/1.35 (assume @p897 (forall @t985 (=> @t121 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t962) @t991)))) % 1.12/1.35 (assume @p898 (forall @t141 (=> @t340 (= (tptp.hAPP @t961 @t615) @t16)))) % 1.12/1.35 (assume @p899 (forall @t985 (=> @t192 (=> @t199 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t962))))) % 1.12/1.35 (assume @p900 (forall @t964 (=> @t192 (=> @t99 (=> @t199 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t962 @t960)))))) % 1.12/1.35 (assume @p901 (forall @t985 (=> @t192 (=> @t191 (tptp.c_Orderings_Oord__class_Oless @t11 @t136 @t962))))) % 1.12/1.35 (assume @p902 (forall @t985 (=> @t192 (=> @t992 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t962))))) % 1.12/1.35 (assume @p903 (forall (@list @t624 @t31 @t11) (=> (and @t958 @t314 @t319 @t225) (= (= @t994 @t136) (and @t151 @t722))))) % 1.12/1.35 (assume @p904 (forall (@list @t624 @t630 @t31 @t11) (=> @t192 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t31) (= (= (tptp.hAPP @t993 @t630) @t994) @t658))))) % 1.12/1.35 (assume @p905 (forall (@list @t434 @t16 @t15 @t11) (=> @t371 (=> @t183 @t989)))) % 1.12/1.35 (assume @p906 (forall @t141 (=> @t958 (= (tptp.hAPP @t961 @t597) @t12)))) % 1.12/1.35 (assume @p907 (forall @t990 (=> @t340 (= (tptp.hAPP @t961 @t689) (tptp.hAPP (tptp.hAPP @t290 @t965) @t962))))) % 1.12/1.35 (assume @p908 (forall @t985 (=> @t212 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t962) (tptp.hAPP (tptp.hAPP @t942 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t16)) @t434))))) % 1.12/1.35 (assume @p909 (forall (@list @t16 @t434 @t435 @t11) (=> @t510 (=> @t706 (tptp.c_Rings_Odvd__class_Odvd @t11 @t965 @t962))))) % 1.12/1.35 (assume @p910 (forall (@list @t435 @t434 @t60 @t24 @t11) (=> @t510 (=> @t914 (=> @t705 (tptp.c_Rings_Odvd__class_Odvd @t11 @t946 (tptp.hAPP @t943 @t435))))))) % 1.12/1.35 (assume @p911 (forall (@list @t435 @t15 @t434 @t16 @t11) (=> @t510 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t962 @t15) (=> @t706 (tptp.c_Rings_Odvd__class_Odvd @t11 @t965 @t15)))))) % 1.12/1.35 (assume @p912 (forall @t995 (=> @t192 (=> @t963 (=> @t209 @t73))))) % 1.12/1.35 (assume @p913 (forall @t985 (=> @t192 (=> @t996 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t987))))) % 1.12/1.35 (assume @p914 (forall @t985 (=> @t192 (=> @t996 (tptp.c_Orderings_Oord__class_Oless @t11 @t962 @t987))))) % 1.12/1.35 (assume @p915 (forall @t988 (=> (and @t958 @t940) (and (=> @t724 (= @t997 @t12)) (=> @t725 (= @t997 @t136)))))) % 1.12/1.35 (assume @p916 (forall @t985 (=> @t121 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t136 @t991)))) % 1.12/1.35 (assume @p917 (forall @t1001 (=> @t192 (=> @t1000 (=> @t996 (tptp.c_Orderings_Oord__class_Oless @t11 @t962 @t999)))))) % 1.12/1.35 (assume @p918 (forall @t990 (=> @t192 (=> @t996 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t965 @t962) @t687))))) % 1.12/1.35 (assume @p919 (forall @t1006 (=> @t192 (=> @t1005 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t1004 @t1003) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t46 @t52)))))) % 1.12/1.35 (assume @p920 (forall @t1001 (=> @t192 (=> @t1007 (=> @t992 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t962 @t999)))))) % 1.12/1.36 (assume @p921 (forall @t985 (=> @t192 (=> @t191 (=> @t1008 (tptp.c_Orderings_Oord__class_Oless @t11 @t987 @t962)))))) % 1.12/1.36 (assume @p922 (forall @t1001 (=> @t192 (=> @t1000 (=> @t191 (=> @t1008 (tptp.c_Orderings_Oord__class_Oless @t11 @t999 @t962))))))) % 1.12/1.36 (assume @p923 (forall @t995 (=> @t192 (=> (= @t962 @t960) (=> @t199 (=> @t209 (=> @t726 @t78))))))) % 1.12/1.36 (assume @p924 (forall @t1001 (=> @t192 (=> @t1007 (=> @t199 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t12) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t999 @t962))))))) % 1.12/1.36 (assume @p925 (forall @t1006 (=> @t192 (=> @t1005 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t1004 @t1003) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t46 @t52)))))) % 1.12/1.36 (assume @p926 (forall @t990 (=> @t192 (=> @t996 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t965 @t962) @t706))))) % 1.12/1.36 (assume @p927 (forall @t985 (=> @t192 (=> @t996 (=> @t726 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t962)))))) % 1.12/1.36 (assume @p928 (forall @t959 (=> @t510 (=> (or @t726 (= @t24 @t12)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t24 @t946))))) % 1.12/1.36 (assume @p929 (forall (@list @t434 @t15) (=> (not (= @t15 @t544)) (=> @t725 (exists @t559 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t539 (tptp.hAPP (tptp.hAPP @t888 @t15) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) @t557) @t434)))) @t7)))))) % 1.12/1.36 (assume @p930 (forall @t14 (=> @t958 (= @t942 (tptp.c_Power_Opower_Opower @t11 @t12 @t290))))) % 1.12/1.36 (assume @p931 (forall (@list @t60 @t435 @t24) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t966 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t24 @t435)) @t60) @t435) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t976 @t435)))) % 1.12/1.36 (assume @p932 (forall @t825 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 (tptp.hAPP (tptp.hAPP @t966 @t1009) @t434)))) % 1.12/1.36 (assume @p933 (forall (@list @t24 @t60) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t60 @t24) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t24 @t60)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1009 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t60)))))) % 1.12/1.36 (assume @p934 (forall @t681 (=> @t1012 (= @t1011 @t435)))) % 1.12/1.36 (assume @p935 (forall (@list @t52 @t624 @t46) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t624) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t52 @t624)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t624 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t46 @t52))))) % 1.12/1.36 (assume @p936 (forall @t645 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t42 @t1014) @t1013))) % 1.12/1.36 (assume @p937 (forall (@list @t434 @t435 @t1015) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1015 @t435) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1015 @t434) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1015 @t1014))))) % 1.12/1.36 (assume @p938 (forall (@list @t230 @t43) (=> (not (= @t43 @t979)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t230 @t43) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t230) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t43)))))) % 1.12/1.36 (assume @p939 (forall @t622 (=> @t1017 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t434) (=> @t1016 (=> @t1012 @t672)))))) % 1.12/1.36 (assume @p940 (forall @t622 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 @t435) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t435 @t434) (not @t1012))))) % 1.12/1.36 (assume @p941 (forall @t827 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t38 @t434) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t979 @t434) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 @t434))))) % 1.12/1.36 (assume @p942 (forall @t780 (=> @t969 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t15 @t16) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t16) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t15)))))) % 1.12/1.36 (assume @p943 (forall @t509 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t46 @t1018) (= @t980 @t1018)))) % 1.12/1.36 (assume @p944 (forall @t645 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t42 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t435 @t434)) @t1013))) % 1.12/1.36 (assume @p945 (forall @t645 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t1019 @t435) (tptp.hAPP @t1019 @t434)) (=> (not (= @t42 @t979)) @t1016)))) % 1.12/1.36 (assume @p946 (forall @t656 (=> (not (= @t630 @t979)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t977 @t630) @t624) @t630) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t624) @t1018))))) % 1.12/1.36 (assume @p947 (forall (@list @t938 @t630 @t612) (=> (not @t1022) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t630 @t938) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1021 (tptp.hAPP @t1020 @t938)))))) % 1.12/1.36 (assume @p948 (forall (@list @t29 @t938 @t46 @t28 @t31) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t31 @t28) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t46 @t938)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t46 (tptp.hAPP (tptp.hAPP @t977 @t29) @t28)) @t938)))))) % 1.12/1.36 (assume @p949 (forall (@list @t630 @t624 @t612) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t612 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t624 @t1021)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t612 @t624)))) % 1.12/1.36 (assume @p950 (forall @t1023 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t979) @t979) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t16 @t979) @t16)))) % 1.12/1.36 (assume @p951 (forall @t780 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1024 @t15) @t979))) % 1.12/1.36 (assume @p952 (forall @t681 (= @t1011 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t435 @t1014)))) % 1.12/1.36 (assume @p953 (forall @t622 (= @t1014 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t435 (tptp.hAPP (tptp.hAPP @t977 @t1010) @t434))))) % 1.12/1.36 (assume @p954 (forall @t840 (= (tptp.hBOOL @t1031) (and (=> @t1022 (tptp.hBOOL (tptp.hAPP @t674 @t979))) (=> @t1030 (forall @t810 (=> (exists @t1027 @t1029) @t809))) (=> @t1028 (forall @t810 (=> (exists @t1027 @t1026) @t809))))))) % 1.12/1.36 (assume @p955 (forall @t1036 (=> @t1035 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t1034) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1032 @t75))))) % 1.12/1.36 (assume @p956 (forall @t1036 (=> @t1035 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t16 @t1034) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1033 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1032 @t75)) @t1024))))) % 1.12/1.36 (assume @p957 (forall @t1040 (=> @t1030 (= @t1039 (forall @t838 (=> @t1029 @t1037)))))) % 1.12/1.36 (assume @p958 (forall @t1040 (=> @t1028 (= @t1039 (forall @t838 (=> @t1026 @t1037)))))) % 1.12/1.36 (assume @p959 (forall (@list @t1044 @t60 @t1041 @t1042) (=> (= @t1042 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1047 @t60) @t1044)) (=> (and (=> @t1045 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t1044) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1044 @t1041))) (=> @t1046 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1041 @t1044) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1044 @t979)))) (=> @t1043 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1042 @t1041) @t60)))))) % 1.12/1.36 (assume @p960 (forall @t780 (= @t16 @t1048))) % 1.12/1.36 (assume @p961 (forall @t748 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1051 @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1049 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t15 @t75)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1050 @t75))))) % 1.12/1.36 (assume @p962 (forall (@list @t42 @t16 @t15) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1048 @t42) @t1052))) % 1.12/1.36 (assume @p963 (forall (@list @t42 @t15 @t16) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t977 @t1032) @t15) @t1024) @t42) @t1052))) % 1.12/1.36 (assume @p964 (forall @t861 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t630 @t28) @t979) (exists @t609 (= @t630 (tptp.hAPP (tptp.hAPP @t977 @t28) @t608)))))) % 1.12/1.36 (assume @p965 (forall (@list @t60 @t1054 @t1041 @t1042) (=> (= @t1042 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1047 @t1054) @t60)) (=> (and (=> @t1045 (and @t1053 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t60 @t1041))) (=> @t1046 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1041 @t60) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t60 @t979)))) (=> @t1043 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1042 @t1041) @t60)))))) % 1.12/1.36 (assume @p966 (forall @t1058 (=> @t1035 (=> @t1057 (=> @t1056 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1055 @t979)))))) % 1.12/1.36 (assume @p967 (forall @t1058 (=> @t1035 (=> @t1057 (=> @t1056 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1034 @t1055)))))) % 1.12/1.36 (assume @p968 (forall @t886 (=> @t1035 (=> @t1060 (=> @t1059 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1055 @t1034)))))) % 1.12/1.36 (assume @p969 (forall @t886 (=> @t1035 (=> @t1060 (=> @t1059 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t1055)))))) % 1.12/1.36 (assume @p970 (forall @t840 (= (tptp.hBOOL (tptp.hAPP @t674 @t1038)) (and (=> @t1022 @t811) (=> @t1030 (forall @t838 (=> @t1029 @t885))) (=> @t1028 (forall @t838 (=> @t1026 @t885))))))) % 1.12/1.36 (assume @p971 (forall @t748 (= @t1062 @t1061))) % 1.12/1.36 (assume @p972 (forall @t748 (= @t1061 @t1062))) % 1.12/1.36 (assume @p973 (forall @t503 (=> @t1064 @t1063))) % 1.12/1.36 (assume @p974 (forall @t503 (=> @t1064 (and @t1063 @t1065)))) % 1.12/1.36 (assume @p975 (forall @t503 (=> @t1064 @t1065))) % 1.12/1.36 (assume @p976 (forall (@list @t42 @t435) (=> @t1017 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t435 @t42) @t435)))) % 1.12/1.36 (assume @p977 (forall @t179 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t24) (=> @t1053 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t24 @t60)))))) % 1.12/1.36 (assume @p978 (forall @t780 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t16 @t15) @t1066)))) % 1.12/1.36 (assume @p979 (forall @t503 (=> @t1068 @t1067))) % 1.12/1.36 (assume @p980 (forall @t503 (=> @t1068 @t1069))) % 1.12/1.36 (assume @p981 (forall @t503 (=> @t1068 (and @t1069 @t1067)))) % 1.12/1.36 (assume @p982 (forall @t780 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t16 @t979) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t16) @t1066)))) % 1.12/1.36 (assume @p983 (forall @t1023 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t16 @t16) @t979))) % 1.12/1.36 (assume @p984 (forall (@list @t15) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t979 @t15) @t979))) % 1.12/1.36 (assume @p985 (forall @t1073 (=> @t1072 (tptp.class_Groups_Ocancel__comm__monoid__add @t1071)))) % 1.12/1.36 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p987 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p990 (forall @t1076 (=> (tptp.class_Orderings_Opreorder @t1070) (tptp.class_Orderings_Opreorder @t1075)))) % 1.12/1.36 (assume @p991 (forall @t1076 (=> (tptp.class_Orderings_Oorder @t1070) (tptp.class_Orderings_Oorder @t1075)))) % 1.12/1.36 (assume @p992 (forall @t1076 (=> (tptp.class_Orderings_Oord @t1070) (tptp.class_Orderings_Oord @t1075)))) % 1.12/1.36 (assume @p993 (forall @t1076 (=> (tptp.class_Groups_Ominus @t1070) (tptp.class_Groups_Ominus @t1075)))) % 1.12/1.36 (assume @p994 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p995 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p996 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p997 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p998 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p999 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1000 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1001 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1002 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1003 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1004 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1005 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1006 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1007 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1008 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1009 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1010 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1011 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1012 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1013 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1014 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1015 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1017 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1018 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1019 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1020 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1021 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1022 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1023 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1024 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1025 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1026 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1027 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1028 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1029 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1030 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1031 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1032 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1033 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1034 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1035 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1036 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1037 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1038 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1039 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1040 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1041 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1042 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1043 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1044 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1045 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1046 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1047 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1048 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1049 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1050 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1051 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1052 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.12/1.36 (assume @p1053 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1054 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1055 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1056 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1057 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1058 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1059 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1060 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1061 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1062 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1063 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1064 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1065 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1066 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1068 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1069 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1070 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1073 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1074 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1075 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1076 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1077 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1078 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1079 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1080 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1081 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1082 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1083 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1084 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1085 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1086 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1087 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1088 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1089 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1090 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.12/1.36 (assume @p1091 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.12/1.36 (assume @p1092 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.12/1.36 (assume @p1093 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.12/1.36 (assume @p1094 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.12/1.36 (assume @p1095 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1096 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1097 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1098 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1099 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1100 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1101 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1102 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1103 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1104 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1105 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1106 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1107 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1108 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1109 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1110 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1111 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1112 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1113 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1114 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1115 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1116 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1117 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1118 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1119 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1120 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1121 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1122 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1123 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1124 (tptp.class_Orderings_Odense__linorder tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1125 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1126 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1127 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1128 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1129 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1130 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1131 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1132 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1133 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1134 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1135 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1136 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1137 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1138 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1139 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1140 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1141 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1142 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1143 @t1077) % 1.12/1.36 (assume @p1144 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1145 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1146 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1147 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1148 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1149 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1150 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1151 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1152 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1153 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1154 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1155 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1156 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1157 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1158 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1159 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1160 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1161 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1162 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1163 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1164 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.12/1.36 (assume @p1165 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1166 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1167 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1168 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1169 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1170 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1171 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1172 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1173 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1174 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1175 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1176 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1177 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1178 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1179 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1180 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1181 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1182 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1183 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1184 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1185 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1186 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1187 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1188 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1189 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1190 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1191 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1192 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1193 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1194 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1195 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1196 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1197 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1198 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1199 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1200 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1201 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1202 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1203 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1204 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1205 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1206 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (assume @p1207 (forall @t1073 (=> @t1078 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1071)))) % 1.12/1.36 (assume @p1208 (forall @t1073 (=> @t1079 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1071)))) % 1.12/1.36 (assume @p1209 (forall @t1073 (=> @t1079 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1071)))) % 1.12/1.36 (assume @p1210 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1071)))) % 1.12/1.36 (assume @p1211 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__semiring__1__strict @t1071)))) % 1.12/1.36 (assume @p1212 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__semiring__strict @t1071)))) % 1.12/1.36 (assume @p1213 (forall @t1073 (=> @t1079 (tptp.class_Groups_Oordered__ab__semigroup__add @t1071)))) % 1.12/1.36 (assume @p1214 (forall @t1073 (=> @t1079 (tptp.class_Groups_Oordered__ab__group__add__abs @t1071)))) % 1.12/1.36 (assume @p1215 (forall @t1073 (=> @t1079 (tptp.class_Groups_Oordered__comm__monoid__add @t1071)))) % 1.12/1.36 (assume @p1216 (forall @t1073 (=> @t1079 (tptp.class_Groups_Olinordered__ab__group__add @t1071)))) % 1.12/1.36 (assume @p1217 (forall @t1073 (=> @t1072 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1071)))) % 1.12/1.36 (assume @p1218 (forall @t1073 (=> @t1078 (tptp.class_Rings_Oring__1__no__zero__divisors @t1071)))) % 1.12/1.36 (assume @p1219 (forall @t1073 (=> @t1079 (tptp.class_Rings_Oordered__cancel__semiring @t1071)))) % 1.12/1.36 (assume @p1220 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__ring__strict @t1071)))) % 1.12/1.36 (assume @p1221 (forall @t1073 (=> @t1078 (tptp.class_Rings_Oring__no__zero__divisors @t1071)))) % 1.12/1.36 (assume @p1222 (forall @t1073 (=> @t1079 (tptp.class_Rings_Oordered__comm__semiring @t1071)))) % 1.12/1.36 (assume @p1223 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__semiring__1 @t1071)))) % 1.12/1.36 (assume @p1224 (forall @t1073 (=> @t1079 (tptp.class_Groups_Oordered__ab__group__add @t1071)))) % 1.12/1.36 (assume @p1225 (forall @t1073 (=> @t1072 (tptp.class_Groups_Ocancel__semigroup__add @t1071)))) % 1.12/1.36 (assume @p1226 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__semiring @t1071)))) % 1.12/1.36 (assume @p1227 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__semidom @t1071)))) % 1.12/1.36 (assume @p1228 (forall @t1073 (=> @t1080 (tptp.class_Groups_Oab__semigroup__mult @t1071)))) % 1.12/1.36 (assume @p1229 (forall @t1073 (=> @t1081 (tptp.class_Groups_Ocomm__monoid__mult @t1071)))) % 1.12/1.36 (assume @p1230 (forall @t1073 (=> @t1082 (tptp.class_Groups_Oab__semigroup__add @t1071)))) % 1.12/1.36 (assume @p1231 (forall @t1073 (=> @t1079 (tptp.class_Rings_Oordered__semiring @t1071)))) % 1.12/1.36 (assume @p1232 (forall @t1073 (=> @t1079 (tptp.class_Rings_Oordered__ring__abs @t1071)))) % 1.12/1.36 (assume @p1233 (forall @t1073 (=> @t1078 (tptp.class_Rings_Ono__zero__divisors @t1071)))) % 1.12/1.36 (assume @p1234 (forall @t1073 (=> @t1082 (tptp.class_Groups_Ocomm__monoid__add @t1071)))) % 1.12/1.36 (assume @p1235 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__ring @t1071)))) % 1.12/1.36 (assume @p1236 (forall @t1073 (=> @t1079 (tptp.class_Rings_Olinordered__idom @t1071)))) % 1.12/1.36 (assume @p1237 (forall @t1073 (=> @t1081 (tptp.class_Rings_Ocomm__semiring__1 @t1071)))) % 1.12/1.36 (assume @p1238 (forall @t1073 (=> @t1080 (tptp.class_Rings_Ocomm__semiring__0 @t1071)))) % 1.12/1.36 (assume @p1239 (forall @t1073 (=> @t1083 (tptp.class_Divides_Osemiring__div @t1071)))) % 1.12/1.36 (assume @p1240 (forall @t1073 (=> @t1080 (tptp.class_Rings_Ocomm__semiring @t1071)))) % 1.12/1.36 (assume @p1241 (forall @t1073 (=> @t1084 (tptp.class_Groups_Oab__group__add @t1071)))) % 1.12/1.36 (assume @p1242 (forall @t1073 (=> @t1081 (tptp.class_Rings_Ozero__neq__one @t1071)))) % 1.12/1.36 (assume @p1243 (forall @t1073 (=> @t1079 (tptp.class_Rings_Oordered__ring @t1071)))) % 1.12/1.36 (assume @p1244 (forall @t1073 (=> @t1079 (tptp.class_Orderings_Opreorder @t1071)))) % 1.12/1.36 (assume @p1245 (forall @t1073 (=> @t1079 (tptp.class_Orderings_Olinorder @t1071)))) % 1.12/1.36 (assume @p1246 (forall @t1073 (=> @t1081 (tptp.class_Groups_Omonoid__mult @t1071)))) % 1.12/1.36 (assume @p1247 (forall @t1073 (=> @t1085 (tptp.class_Rings_Ocomm__ring__1 @t1071)))) % 1.12/1.36 (assume @p1248 (forall @t1073 (=> @t1082 (tptp.class_Groups_Omonoid__add @t1071)))) % 1.12/1.36 (assume @p1249 (forall @t1073 (=> @t1080 (tptp.class_Rings_Osemiring__0 @t1071)))) % 1.12/1.36 (assume @p1250 (forall @t1073 (=> @t1084 (tptp.class_Groups_Ogroup__add @t1071)))) % 1.12/1.36 (assume @p1251 (forall @t1073 (=> @t1083 (tptp.class_Divides_Oring__div @t1071)))) % 1.12/1.36 (assume @p1252 (forall @t1073 (=> @t1080 (tptp.class_Rings_Omult__zero @t1071)))) % 1.12/1.36 (assume @p1253 (forall @t1073 (=> @t1086 (tptp.class_Rings_Ocomm__ring @t1071)))) % 1.12/1.36 (assume @p1254 (forall @t1073 (=> @t1079 (tptp.class_Orderings_Oorder @t1071)))) % 1.12/1.36 (assume @p1255 (forall @t1073 (=> @t1079 (tptp.class_Int_Oring__char__0 @t1071)))) % 1.12/1.36 (assume @p1256 (forall @t1073 (=> @t1080 (tptp.class_Rings_Osemiring @t1071)))) % 1.12/1.36 (assume @p1257 (forall @t1073 (=> @t1079 (tptp.class_Orderings_Oord @t1071)))) % 1.12/1.36 (assume @p1258 (forall @t1073 (=> @t1085 (tptp.class_Rings_Oring__1 @t1071)))) % 1.12/1.36 (assume @p1259 (forall @t1073 (=> @t1084 (tptp.class_Groups_Ominus @t1071)))) % 1.12/1.36 (assume @p1260 (forall @t1073 (=> @t1081 (tptp.class_Power_Opower @t1071)))) % 1.12/1.36 (assume @p1261 (forall @t1073 (=> (tptp.class_Groups_Ozero @t1070) (tptp.class_Groups_Ozero @t1071)))) % 1.12/1.36 (assume @p1262 (forall @t1073 (=> @t1086 (tptp.class_Rings_Oring @t1071)))) % 1.12/1.36 (assume @p1263 (forall @t1073 (=> @t1078 (tptp.class_Rings_Oidom @t1071)))) % 1.12/1.36 (assume @p1264 (forall @t1073 (=> @t1081 (tptp.class_Groups_Oone @t1071)))) % 1.12/1.36 (assume @p1265 (forall @t1073 (=> @t1081 (tptp.class_Rings_Odvd @t1071)))) % 1.12/1.36 (assume @p1266 (not @t1087)) % 1.12/1.36 (assume @p1267 true) % 1.12/1.36 (step @p1268 :rule aci_norm :args ((= (or @t1088 (or @t67 @t94)) (or @t1088 @t67 @t94)))) % 1.12/1.36 (step @p1269 :rule bool-impl-elim :args (@t63 @t94)) % 1.12/1.36 (step @p1270 :rule refl :args (@t1088)) % 1.12/1.36 (step @p1271 :rule nary_cong :premises (@p1270 @p1269) :args ((or @t1088 @t101))) % 1.12/1.36 (step @p1272 :rule trans :premises (@p1271 @p1268)) % 1.12/1.36 (step @p1273 :rule bool-impl-elim :args (@t25 @t101)) % 1.12/1.36 (step @p1274 :rule trans :premises (@p1273 @p1272)) % 1.12/1.36 (step @p1275 :rule cong :premises (@p1274) :args (@t102)) % 1.12/1.36 (step @p1276 :rule eq_resolve :premises (@p44 @p1275)) % 1.12/1.36 (step @p1277 :rule instantiate :premises (@p1276) :args ((@list @t7 @t9 tptp.tc_RealDef_Oreal))) % 1.12/1.36 (step @p1278 :rule aci_norm :args ((= (or @t1088 @t1090) (or @t1088 @t67 @t1089 @t84)))) % 1.12/1.36 (step @p1279 :rule aci_norm :args ((= (or @t67 (or @t1089 @t84)) @t1090))) % 1.12/1.36 (step @p1280 :rule bool-impl-elim :args (@t85 @t84)) % 1.12/1.36 (step @p1281 :rule refl :args (@t67)) % 1.12/1.36 (step @p1282 :rule nary_cong :premises (@p1281 @p1280) :args ((or @t67 @t86))) % 1.12/1.36 (step @p1283 :rule trans :premises (@p1282 @p1279)) % 1.12/1.36 (step @p1284 :rule bool-impl-elim :args (@t63 @t86)) % 1.12/1.36 (step @p1285 :rule trans :premises (@p1284 @p1283)) % 1.12/1.36 (step @p1286 :rule nary_cong :premises (@p1270 @p1285) :args ((or @t1088 @t87))) % 1.12/1.36 (step @p1287 :rule trans :premises (@p1286 @p1278)) % 1.12/1.36 (step @p1288 :rule bool-impl-elim :args (@t25 @t87)) % 1.12/1.36 (step @p1289 :rule trans :premises (@p1288 @p1287)) % 1.12/1.36 (step @p1290 :rule cong :premises (@p1289) :args (@t89)) % 1.12/1.36 (step @p1291 :rule eq_resolve :premises (@p33 @p1290)) % 1.12/1.36 (step @p1292 :rule instantiate :premises (@p1291) :args ((@list @t7 tptp.v_da____ @t9 tptp.tc_RealDef_Oreal))) % 1.12/1.36 (step @p1293 :rule cnf_or_pos :args (@t1095)) % 1.12/1.36 (step @p1294 :rule reordering :premises (@p1293) :args ((or @t1092 @t1093 @t1094 @t1091 (not @t1095)))) % 1.12/1.36 (step @p1295 :rule chain_m_resolution :premises (@p1294 @p3 @p4 @p1143 @p1292) :args (@t1091 (@list false false false false) (@list @t8 @t10 @t1077 @t1095))) % 1.12/1.36 (step @p1296 :rule cnf_or_pos :args (@t1097)) % 1.12/1.36 (step @p1297 :rule reordering :premises (@p1296) :args ((or @t1087 @t1094 @t1096 (not @t1097)))) % 1.12/1.36 (step @p1298 false :rule chain_m_resolution :premises (@p1297 @p1295 @p1277 @p1266 @p1143) :args (false (@list false false true false) (@list @t1091 @t1097 @t1087 @t1077))) % 1.12/1.36 ) % 1.12/1.36 % SZS output end Proof % 1.12/1.36 % cvc5 exiting %------------------------------------------------------------------------------