%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW217+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 09:04:32 AM UTC 2026 % Result : Theorem 1.23s 1.42s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW217+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:40:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.46/0.79 %----Proving TF0_NAR, FOF, or CNF % 1.23/1.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.23/1.42 % SZS status Theorem % 1.23/1.42 % SZS output start Proof % 1.23/1.42 ( % 1.23/1.42 (declare-sort $$unsorted 0) % 1.23/1.42 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.23/1.42 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.23/1.42 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.v_cs____ $$unsorted) % 1.23/1.42 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.v_q____ $$unsorted) % 1.23/1.42 (declare-const tptp.v_z $$unsorted) % 1.23/1.42 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.v_p $$unsorted) % 1.23/1.42 (declare-const tptp.v_da____ $$unsorted) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.v_e $$unsorted) % 1.23/1.42 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.23/1.42 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.v_d____ $$unsorted) % 1.23/1.42 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.23/1.42 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.v_m____ $$unsorted) % 1.23/1.42 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.23/1.42 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.v_w____ $$unsorted) % 1.23/1.42 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.23/1.42 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.42 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.23/1.42 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.23/1.42 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.23/1.42 (define @t3 () (@var "B_x" $$unsorted)) % 1.23/1.42 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.23/1.42 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.23/1.42 (define @t6 () (@list @t3)) % 1.23/1.42 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.23/1.42 (define @t8 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_w____ tptp.v_z)) % 1.23/1.42 (define @t9 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t8)) % 1.23/1.42 (define @t10 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.23/1.42 (define @t11 () (tptp.hAPP (tptp.hAPP @t10 tptp.v_da____) tptp.v_m____)) % 1.23/1.42 (define @t12 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 tptp.v_e)) % 1.23/1.42 (define @t13 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_cs____)) % 1.23/1.42 (define @t14 () (@var "B_w" $$unsorted)) % 1.23/1.42 (define @t15 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t14 tptp.v_z)) % 1.23/1.42 (define @t16 () (@var "B_d" $$unsorted)) % 1.23/1.42 (define @t17 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15)) % 1.23/1.42 (define @t18 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t16)) % 1.23/1.42 (define @t19 () (@list @t16)) % 1.23/1.42 (define @t20 () (@var "V_s" $$unsorted)) % 1.23/1.42 (define @t21 () (@var "V_r" $$unsorted)) % 1.23/1.42 (define @t22 () (tptp.hAPP @t10 @t21)) % 1.23/1.42 (define @t23 () (@var "V_y" $$unsorted)) % 1.23/1.42 (define @t24 () (@var "V_x" $$unsorted)) % 1.23/1.42 (define @t25 () (@var "T_a" $$unsorted)) % 1.23/1.42 (define @t26 () (tptp.c_Groups_Otimes__class_Otimes @t25)) % 1.23/1.42 (define @t27 () (tptp.hAPP @t26 @t24)) % 1.23/1.42 (define @t28 () (tptp.hAPP @t27 @t23)) % 1.23/1.42 (define @t29 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t28)) % 1.23/1.42 (define @t30 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t23)) % 1.23/1.42 (define @t31 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t30 @t20)) % 1.23/1.42 (define @t32 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t24)) % 1.23/1.42 (define @t33 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t21)) % 1.23/1.42 (define @t34 () (tptp.class_RealVector_Oreal__normed__algebra @t25)) % 1.23/1.42 (define @t35 () (@list @t20 @t23 @t21 @t24 @t25)) % 1.23/1.42 (define @t36 () (tptp.hAPP (tptp.hAPP @t10 @t9) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t13 @t8)))) % 1.23/1.42 (define @t37 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t36 @t11)) % 1.23/1.42 (define @t38 () (tptp.hAPP (tptp.hAPP @t10 @t32) @t30)) % 1.23/1.42 (define @t39 () (tptp.class_RealVector_Oreal__normed__div__algebra @t25)) % 1.23/1.42 (define @t40 () (@list @t23 @t24 @t25)) % 1.23/1.42 (define @t41 () (@var "V_w_2" $$unsorted)) % 1.23/1.42 (define @t42 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.23/1.42 (define @t43 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.23/1.42 (define @t44 () (@var "V_q" $$unsorted)) % 1.23/1.42 (define @t45 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t44) @t24)) % 1.23/1.42 (define @t46 () (@var "V_p" $$unsorted)) % 1.23/1.42 (define @t47 () (tptp.c_Polynomial_Opoly @t25 @t46)) % 1.23/1.42 (define @t48 () (tptp.hAPP @t47 @t24)) % 1.23/1.42 (define @t49 () (tptp.tc_Polynomial_Opoly @t25)) % 1.23/1.42 (define @t50 () (tptp.c_Groups_Ominus__class_Ominus @t49 @t46 @t44)) % 1.23/1.42 (define @t51 () (@list @t24 @t44 @t46 @t25)) % 1.23/1.42 (define @t52 () (tptp.c_Groups_Otimes__class_Otimes @t49)) % 1.23/1.42 (define @t53 () (tptp.hAPP @t52 @t46)) % 1.23/1.42 (define @t54 () (tptp.hAPP @t53 @t44)) % 1.23/1.42 (define @t55 () (tptp.class_Rings_Ocomm__semiring__0 @t25)) % 1.23/1.42 (define @t56 () (@var "V_a" $$unsorted)) % 1.23/1.42 (define @t57 () (@var "V_b" $$unsorted)) % 1.23/1.42 (define @t58 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t56 @t57)) % 1.23/1.42 (define @t59 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t58)) % 1.23/1.42 (define @t60 () (tptp.class_RealVector_Oreal__normed__vector @t25)) % 1.23/1.42 (define @t61 () (@list @t57 @t56 @t25)) % 1.23/1.42 (define @t62 () (@var "V_b_H" $$unsorted)) % 1.23/1.42 (define @t63 () (tptp.hAPP @t26 @t56)) % 1.23/1.42 (define @t64 () (tptp.hAPP @t63 @t62)) % 1.23/1.42 (define @t65 () (tptp.hAPP @t63 @t57)) % 1.23/1.42 (define @t66 () (@list @t62 @t57 @t56 @t25)) % 1.23/1.42 (define @t67 () (@var "V_xa" $$unsorted)) % 1.23/1.42 (define @t68 () (tptp.hAPP @t26 @t67)) % 1.23/1.42 (define @t69 () (tptp.hAPP @t68 @t23)) % 1.23/1.42 (define @t70 () (tptp.hAPP @t68 @t24)) % 1.23/1.42 (define @t71 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t23)) % 1.23/1.42 (define @t72 () (@list @t23 @t24 @t67 @t25)) % 1.23/1.42 (define @t73 () (@var "V_a_H" $$unsorted)) % 1.23/1.42 (define @t74 () (tptp.hAPP @t26 @t73)) % 1.23/1.42 (define @t75 () (tptp.hAPP @t74 @t57)) % 1.23/1.42 (define @t76 () (@list @t57 @t73 @t56 @t25)) % 1.23/1.42 (define @t77 () (@var "V_ya" $$unsorted)) % 1.23/1.42 (define @t78 () (tptp.hAPP @t26 @t23)) % 1.23/1.42 (define @t79 () (tptp.hAPP @t78 @t77)) % 1.23/1.42 (define @t80 () (tptp.hAPP @t27 @t77)) % 1.23/1.42 (define @t81 () (tptp.hAPP @t26 @t71)) % 1.23/1.42 (define @t82 () (@list @t77 @t23 @t24 @t25)) % 1.23/1.42 (define @t83 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.23/1.42 (define @t84 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal tptp.v_e tptp.v_m____)) % 1.23/1.42 (define @t85 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.23/1.42 (define @t86 () (@list @t24 @t25)) % 1.23/1.42 (define @t87 () (tptp.c_Groups_Ozero__class_Ozero @t25)) % 1.23/1.42 (define @t88 () (@list @t25)) % 1.23/1.42 (define @t89 () (tptp.c_Groups_Ozero__class_Ozero @t49)) % 1.23/1.42 (define @t90 () (tptp.c_Polynomial_Opoly @t25 @t89)) % 1.23/1.42 (define @t91 () (@var "V_x_2" $$unsorted)) % 1.23/1.42 (define @t92 () (= @t91 @t87)) % 1.23/1.42 (define @t93 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t91)) % 1.23/1.42 (define @t94 () (@list @t91 @t25)) % 1.23/1.42 (define @t95 () (= (tptp.hAPP @t63 @t87) @t87)) % 1.23/1.42 (define @t96 () (@list @t56 @t25)) % 1.23/1.42 (define @t97 () (tptp.hAPP @t26 @t87)) % 1.23/1.42 (define @t98 () (@list @t23 @t25)) % 1.23/1.42 (define @t99 () (not @t92)) % 1.23/1.42 (define @t100 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t57)) % 1.23/1.42 (define @t101 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t56)) % 1.23/1.42 (define @t102 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t101 @t100)) % 1.23/1.42 (define @t103 () (@var "V_qa_2" $$unsorted)) % 1.23/1.42 (define @t104 () (@var "V_pa_2" $$unsorted)) % 1.23/1.42 (define @t105 () (tptp.c_Polynomial_Opoly @t25 @t104)) % 1.23/1.42 (define @t106 () (tptp.class_Rings_Oidom @t25)) % 1.23/1.42 (define @t107 () (and (tptp.class_Int_Oring__char__0 @t25) @t106)) % 1.23/1.42 (define @t108 () (tptp.hAPP (tptp.hAPP @t10 tptp.v_d____) tptp.v_m____)) % 1.23/1.42 (define @t109 () (@var "V_z" $$unsorted)) % 1.23/1.42 (define @t110 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t109)) % 1.23/1.42 (define @t111 () (@list @t109)) % 1.23/1.42 (define @t112 () (@list @t24)) % 1.23/1.42 (define @t113 () (@var "V_c" $$unsorted)) % 1.23/1.42 (define @t114 () (@var "V_y_2" $$unsorted)) % 1.23/1.42 (define @t115 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t91 @t114)) % 1.23/1.42 (define @t116 () (@var "V_za_2" $$unsorted)) % 1.23/1.42 (define @t117 () (tptp.hAPP @t10 @t116)) % 1.23/1.42 (define @t118 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t116)) % 1.23/1.42 (define @t119 () (@list @t114 @t91 @t116)) % 1.23/1.42 (define @t120 () (tptp.hAPP @t10 @t114)) % 1.23/1.42 (define @t121 () (tptp.hAPP @t120 @t116)) % 1.23/1.42 (define @t122 () (tptp.hAPP @t10 @t91)) % 1.23/1.42 (define @t123 () (tptp.hAPP @t122 @t116)) % 1.23/1.42 (define @t124 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t56 @t57)) % 1.23/1.42 (define @t125 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t113)) % 1.23/1.42 (define @t126 () (=> @t125 @t124)) % 1.23/1.42 (define @t127 () (tptp.hAPP @t26 @t113)) % 1.23/1.42 (define @t128 () (tptp.hAPP @t127 @t57)) % 1.23/1.42 (define @t129 () (tptp.hAPP @t127 @t56)) % 1.23/1.42 (define @t130 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t129 @t128)) % 1.23/1.42 (define @t131 () (tptp.class_Rings_Olinordered__semiring__strict @t25)) % 1.23/1.42 (define @t132 () (@list @t57 @t56 @t113 @t25)) % 1.23/1.42 (define @t133 () (tptp.hAPP @t26 @t57)) % 1.23/1.42 (define @t134 () (tptp.hAPP @t133 @t113)) % 1.23/1.42 (define @t135 () (tptp.hAPP @t63 @t113)) % 1.23/1.42 (define @t136 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t135 @t134)) % 1.23/1.42 (define @t137 () (@list @t57 @t113 @t56 @t25)) % 1.23/1.42 (define @t138 () (tptp.c_Orderings_Oord__class_Oless @t25 @t56 @t57)) % 1.23/1.42 (define @t139 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t113)) % 1.23/1.42 (define @t140 () (=> @t139 @t138)) % 1.23/1.42 (define @t141 () (tptp.c_Orderings_Oord__class_Oless @t25 @t129 @t128)) % 1.23/1.42 (define @t142 () (=> @t141 @t140)) % 1.23/1.42 (define @t143 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.23/1.42 (define @t144 () (tptp.class_Groups_Ozero @t25)) % 1.23/1.42 (define @t145 () (tptp.c_Groups_Oone__class_Oone @t25)) % 1.23/1.42 (define @t146 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t56 @t56)) % 1.23/1.42 (define @t147 () (= @t56 @t87)) % 1.23/1.42 (define @t148 () (not @t147)) % 1.23/1.42 (define @t149 () (=> @t148 (= @t146 @t145))) % 1.23/1.42 (define @t150 () (tptp.class_Rings_Odivision__ring__inverse__zero @t25)) % 1.23/1.42 (define @t151 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t23 @t77)) % 1.23/1.42 (define @t152 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t24 @t77)) % 1.23/1.42 (define @t153 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t23)) % 1.23/1.42 (define @t154 () (tptp.class_RealVector_Oreal__normed__field @t25)) % 1.23/1.42 (define @t155 () (tptp.class_Rings_Odivision__ring @t25)) % 1.23/1.42 (define @t156 () (@var "V_b_2" $$unsorted)) % 1.23/1.42 (define @t157 () (@var "V_a_2" $$unsorted)) % 1.23/1.42 (define @t158 () (= @t157 @t156)) % 1.23/1.42 (define @t159 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t157 @t156)) % 1.23/1.42 (define @t160 () (= @t156 @t87)) % 1.23/1.42 (define @t161 () (@list @t157 @t156 @t25)) % 1.23/1.42 (define @t162 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t57 @t113)) % 1.23/1.42 (define @t163 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t56 @t113)) % 1.23/1.42 (define @t164 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t57)) % 1.23/1.42 (define @t165 () (@list @t113 @t57 @t56 @t25)) % 1.23/1.42 (define @t166 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t145)) % 1.23/1.42 (define @t167 () (tptp.class_Rings_Olinordered__semidom @t25)) % 1.23/1.42 (define @t168 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t56 @t57)) % 1.23/1.42 (define @t169 () (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t168) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t101 @t100))) % 1.23/1.42 (define @t170 () (tptp.class_Fields_Ofield__inverse__zero @t25)) % 1.23/1.42 (define @t171 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t25)) % 1.23/1.42 (define @t172 () (tptp.hAPP @t26 @t164)) % 1.23/1.42 (define @t173 () (= (tptp.hAPP @t172 @t113) (tptp.c_Groups_Oplus__class_Oplus @t25 @t135 @t134))) % 1.23/1.42 (define @t174 () (@var "V_e" $$unsorted)) % 1.23/1.42 (define @t175 () (tptp.c_Groups_Oplus__class_Oplus @t49 @t46 @t44)) % 1.23/1.42 (define @t176 () (tptp.class_Rings_Ozero__neq__one @t25)) % 1.23/1.42 (define @t177 () (tptp.c_Groups_Oone__class_Oone @t49)) % 1.23/1.42 (define @t178 () (tptp.class_Rings_Ocomm__semiring__1 @t25)) % 1.23/1.42 (define @t179 () (@var "V_n" $$unsorted)) % 1.23/1.42 (define @t180 () (tptp.c_Polynomial_Odegree @t25 @t50)) % 1.23/1.42 (define @t181 () (tptp.c_Polynomial_Odegree @t25 @t44)) % 1.23/1.42 (define @t182 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t181 @t179)) % 1.23/1.42 (define @t183 () (tptp.c_Polynomial_Odegree @t25 @t46)) % 1.23/1.42 (define @t184 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t179)) % 1.23/1.42 (define @t185 () (tptp.class_Groups_Oab__group__add @t25)) % 1.23/1.42 (define @t186 () (@list @t44 @t179 @t46 @t25)) % 1.23/1.42 (define @t187 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t181 @t179)) % 1.23/1.42 (define @t188 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t179)) % 1.23/1.42 (define @t189 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t145 @t145)) % 1.23/1.42 (define @t190 () (tptp.hAPP @t27 @t24)) % 1.23/1.42 (define @t191 () (= @t57 @t87)) % 1.23/1.42 (define @t192 () (not @t191)) % 1.23/1.42 (define @t193 () (@list @t56 @t57 @t25)) % 1.23/1.42 (define @t194 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t153)) % 1.23/1.42 (define @t195 () (@var "V_v" $$unsorted)) % 1.23/1.42 (define @t196 () (@var "V_u" $$unsorted)) % 1.23/1.42 (define @t197 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t26 @t196) @t24) (tptp.hAPP (tptp.hAPP @t26 @t195) @t23))) % 1.23/1.42 (define @t198 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t196 @t195) @t145)) % 1.23/1.42 (define @t199 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t195)) % 1.23/1.42 (define @t200 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t196)) % 1.23/1.42 (define @t201 () (@list @t195 @t196 @t23 @t56 @t24 @t25)) % 1.23/1.42 (define @t202 () (= @t113 @t87)) % 1.23/1.42 (define @t203 () (not @t202)) % 1.23/1.42 (define @t204 () (@list @t56 @t57 @t113 @t25)) % 1.23/1.42 (define @t205 () (@var "V_ca_2" $$unsorted)) % 1.23/1.42 (define @t206 () (tptp.hAPP @t26 @t157)) % 1.23/1.42 (define @t207 () (tptp.hAPP @t206 @t205)) % 1.23/1.42 (define @t208 () (= @t156 @t207)) % 1.23/1.42 (define @t209 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t156 @t205)) % 1.23/1.42 (define @t210 () (= @t209 @t157)) % 1.23/1.42 (define @t211 () (= @t205 @t87)) % 1.23/1.42 (define @t212 () (not @t211)) % 1.23/1.42 (define @t213 () (@list @t157 @t156 @t205 @t25)) % 1.23/1.42 (define @t214 () (= @t207 @t156)) % 1.23/1.42 (define @t215 () (= @t157 @t209)) % 1.23/1.42 (define @t216 () (@list @t156 @t157 @t205 @t25)) % 1.23/1.42 (define @t217 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t113)) % 1.23/1.42 (define @t218 () (tptp.c_Orderings_Oord__class_Oless @t25 @t57 @t217)) % 1.23/1.42 (define @t219 () (tptp.c_Orderings_Oord__class_Oless @t25 @t57 @t113)) % 1.23/1.42 (define @t220 () (=> @t219 @t218)) % 1.23/1.42 (define @t221 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t56)) % 1.23/1.42 (define @t222 () (tptp.hAPP @t26 (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t56))) % 1.23/1.42 (define @t223 () (tptp.hAPP @t222 @t57)) % 1.23/1.42 (define @t224 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t23 @t57)) % 1.23/1.42 (define @t225 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t28 @t65)) % 1.23/1.42 (define @t226 () (tptp.class_Rings_Oring @t25)) % 1.23/1.42 (define @t227 () (@list @t57 @t56 @t23 @t24 @t25)) % 1.23/1.42 (define @t228 () (@var "V_db_2" $$unsorted)) % 1.23/1.42 (define @t229 () (@var "V_ea_2" $$unsorted)) % 1.23/1.42 (define @t230 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Groups_Ominus__class_Ominus @t25 @t156 @t157)) @t229) @t228)) % 1.23/1.42 (define @t231 () (tptp.hAPP @t26 @t156)) % 1.23/1.42 (define @t232 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t231 @t229) @t228)) % 1.23/1.42 (define @t233 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t206 @t229) @t205)) % 1.23/1.42 (define @t234 () (= @t233 @t232)) % 1.23/1.42 (define @t235 () (@list @t228 @t156 @t205 @t229 @t157 @t25)) % 1.23/1.42 (define @t236 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t157 @t156)) % 1.23/1.42 (define @t237 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t26 @t236) @t229) @t205)) % 1.23/1.42 (define @t238 () (@var "V_m" $$unsorted)) % 1.23/1.42 (define @t239 () (tptp.hAPP @t26 @t238)) % 1.23/1.42 (define @t240 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t91)) % 1.23/1.42 (define @t241 () (@list @t114 @t91)) % 1.23/1.42 (define @t242 () (= @t104 @t89)) % 1.23/1.42 (define @t243 () (@list @t104 @t25)) % 1.23/1.42 (define @t244 () (@var "V_d" $$unsorted)) % 1.23/1.42 (define @t245 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t57 @t244)) % 1.23/1.42 (define @t246 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t56 @t113)) % 1.23/1.42 (define @t247 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t113 @t244)) % 1.23/1.42 (define @t248 () (@list @t244 @t113 @t57 @t56 @t25)) % 1.23/1.42 (define @t249 () (@list @t46 @t25)) % 1.23/1.42 (define @t250 () (@list @t44 @t25)) % 1.23/1.42 (define @t251 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t233 @t232)) % 1.23/1.42 (define @t252 () (tptp.class_Rings_Oordered__ring @t25)) % 1.23/1.42 (define @t253 () (tptp.c_Orderings_Oord__class_Oless @t25 @t233 @t232)) % 1.23/1.42 (define @t254 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t23 @t145)) % 1.23/1.42 (define @t255 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t23)) % 1.23/1.42 (define @t256 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t24)) % 1.23/1.42 (define @t257 () (tptp.class_Rings_Olinordered__idom @t25)) % 1.23/1.42 (define @t258 () (tptp.c_Orderings_Oord__class_Oless @t25 @t23 @t24)) % 1.23/1.42 (define @t259 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t23)) % 1.23/1.42 (define @t260 () (not @t259)) % 1.23/1.42 (define @t261 () (= @t24 @t23)) % 1.23/1.42 (define @t262 () (not @t261)) % 1.23/1.42 (define @t263 () (=> @t262 (=> @t260 @t258))) % 1.23/1.42 (define @t264 () (@var "V_w" $$unsorted)) % 1.23/1.42 (define @t265 () (= @t109 @t264)) % 1.23/1.42 (define @t266 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t264 @t109)) % 1.23/1.42 (define @t267 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t109 @t264)) % 1.23/1.42 (define @t268 () (@list @t264 @t109)) % 1.23/1.42 (define @t269 () (@var "V_k" $$unsorted)) % 1.23/1.42 (define @t270 () (@var "V_i" $$unsorted)) % 1.23/1.42 (define @t271 () (@var "V_j" $$unsorted)) % 1.23/1.42 (define @t272 () (@list @t269 @t271 @t270)) % 1.23/1.42 (define @t273 () (@list @t264)) % 1.23/1.42 (define @t274 () (tptp.hAPP @t10 @t109)) % 1.23/1.42 (define @t275 () (@var "V_z3" $$unsorted)) % 1.23/1.42 (define @t276 () (@var "V_z2" $$unsorted)) % 1.23/1.42 (define @t277 () (tptp.hAPP @t10 @t276)) % 1.23/1.42 (define @t278 () (@var "V_z1" $$unsorted)) % 1.23/1.42 (define @t279 () (tptp.hAPP @t10 @t278)) % 1.23/1.42 (define @t280 () (@list @t275 @t276 @t278)) % 1.23/1.42 (define @t281 () (= (tptp.hAPP @t97 @t56) @t87)) % 1.23/1.42 (define @t282 () (tptp.class_Rings_Omult__zero @t25)) % 1.23/1.42 (define @t283 () (= @t157 @t87)) % 1.23/1.42 (define @t284 () (tptp.hAPP @t206 @t156)) % 1.23/1.42 (define @t285 () (@list @t156 @t157 @t25)) % 1.23/1.42 (define @t286 () (= @t65 @t87)) % 1.23/1.42 (define @t287 () (tptp.class_Rings_Ono__zero__divisors @t25)) % 1.23/1.42 (define @t288 () (= @t91 @t114)) % 1.23/1.42 (define @t289 () (not @t288)) % 1.23/1.42 (define @t290 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t91 @t114)) % 1.23/1.42 (define @t291 () (not (= @t205 @t7))) % 1.23/1.42 (define @t292 () (@list @t156 @t157 @t205)) % 1.23/1.42 (define @t293 () (tptp.hAPP @t10 @t205)) % 1.23/1.42 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t65 @t87)) % 1.23/1.42 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t57)) % 1.23/1.42 (define @t296 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t56 @t87)) % 1.23/1.42 (define @t297 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t57 @t87)) % 1.23/1.42 (define @t298 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t56)) % 1.23/1.42 (define @t299 () (tptp.class_Rings_Oordered__cancel__semiring @t25)) % 1.23/1.42 (define @t300 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t65)) % 1.23/1.42 (define @t301 () (tptp.hAPP @t133 @t244)) % 1.23/1.42 (define @t302 () (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t135 @t301))) % 1.23/1.42 (define @t303 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t113 @t244)) % 1.23/1.42 (define @t304 () (tptp.class_Rings_Oordered__semiring @t25)) % 1.23/1.42 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t113 @t87)) % 1.23/1.42 (define @t306 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t57 @t56)) % 1.23/1.42 (define @t307 () (@list @t113 @t56 @t57 @t25)) % 1.23/1.42 (define @t308 () (=> @t124 (=> @t139 @t130))) % 1.23/1.42 (define @t309 () (tptp.hAPP @t133 @t56)) % 1.23/1.42 (define @t310 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t156)) % 1.23/1.42 (define @t311 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t157 @t87)) % 1.23/1.42 (define @t312 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t87)) % 1.23/1.42 (define @t313 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t157)) % 1.23/1.42 (define @t314 () (or (and @t313 @t312) (and @t311 @t310))) % 1.23/1.42 (define @t315 () (tptp.class_Rings_Olinordered__ring__strict @t25)) % 1.23/1.42 (define @t316 () (or (and @t313 @t310) (and @t311 @t312))) % 1.23/1.42 (define @t317 () (tptp.hAPP @t63 @t56)) % 1.23/1.42 (define @t318 () (tptp.class_Rings_Olinordered__ring @t25)) % 1.23/1.42 (define @t319 () (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t157)) % 1.23/1.42 (define @t320 () (tptp.c_Orderings_Oord__class_Oless @t25 @t205 @t87)) % 1.23/1.42 (define @t321 () (tptp.c_Orderings_Oord__class_Oless @t25 @t157 @t156)) % 1.23/1.42 (define @t322 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t205)) % 1.23/1.42 (define @t323 () (or (and @t322 @t321) (and @t320 @t319))) % 1.23/1.42 (define @t324 () (tptp.hAPP @t231 @t205)) % 1.23/1.42 (define @t325 () (@list @t156 @t205 @t157 @t25)) % 1.23/1.42 (define @t326 () (tptp.hAPP @t26 @t205)) % 1.23/1.42 (define @t327 () (tptp.hAPP @t326 @t156)) % 1.23/1.42 (define @t328 () (tptp.hAPP @t326 @t157)) % 1.23/1.42 (define @t329 () (tptp.c_Orderings_Oord__class_Oless @t25 @t328 @t327)) % 1.23/1.42 (define @t330 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t65)) % 1.23/1.42 (define @t331 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t57)) % 1.23/1.42 (define @t332 () (tptp.c_Orderings_Oord__class_Oless @t25 @t65 @t87)) % 1.23/1.42 (define @t333 () (tptp.c_Orderings_Oord__class_Oless @t25 @t57 @t87)) % 1.23/1.42 (define @t334 () (=> @t221 @t331)) % 1.23/1.42 (define @t335 () (tptp.c_Orderings_Oord__class_Oless @t25 @t56 @t87)) % 1.23/1.42 (define @t336 () (tptp.c_Orderings_Oord__class_Oless @t25 @t135 @t134)) % 1.23/1.42 (define @t337 () (=> @t138 (=> @t125 @t141))) % 1.23/1.42 (define @t338 () (tptp.c_Orderings_Oord__class_Oless @t25 @t113 @t87)) % 1.23/1.42 (define @t339 () (tptp.c_Orderings_Oord__class_Oless @t25 @t57 @t56)) % 1.23/1.42 (define @t340 () (tptp.hAPP (tptp.hAPP @t10 @t24) @t23)) % 1.23/1.42 (define @t341 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t23)) % 1.23/1.42 (define @t342 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t24)) % 1.23/1.42 (define @t343 () (@list @t23 @t24)) % 1.23/1.42 (define @t344 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t157 @t156)) % 1.23/1.42 (define @t345 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t328 @t327)) % 1.23/1.42 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t25 @t135 @t301)) % 1.23/1.42 (define @t347 () (=> @t139 @t346)) % 1.23/1.42 (define @t348 () (tptp.c_Orderings_Oord__class_Oless @t25 @t113 @t244)) % 1.23/1.42 (define @t349 () (=> @t336 @t140)) % 1.23/1.42 (define @t350 () (tptp.class_Rings_Olinordered__semiring @t25)) % 1.23/1.42 (define @t351 () (@var "B_m" $$unsorted)) % 1.23/1.42 (define @t352 () (@var "B_z" $$unsorted)) % 1.23/1.42 (define @t353 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t352)) % 1.23/1.42 (define @t354 () (@list @t352)) % 1.23/1.42 (define @t355 () (forall @t354 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t353 @t83) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t13 @t352)) @t351)))) % 1.23/1.42 (define @t356 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t351)) % 1.23/1.42 (define @t357 () (@list @t351)) % 1.23/1.42 (define @t358 () (@var "B_e" $$unsorted)) % 1.23/1.42 (define @t359 () (not @t320)) % 1.23/1.42 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t207)) % 1.23/1.42 (define @t361 () (not @t322)) % 1.23/1.42 (define @t362 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t207 @t156)) % 1.23/1.42 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t157 @t209)) % 1.23/1.42 (define @t364 () (tptp.class_Fields_Olinordered__field__inverse__zero @t25)) % 1.23/1.42 (define @t365 () (@list @t205 @t156 @t157 @t25)) % 1.23/1.42 (define @t366 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t209 @t157)) % 1.23/1.42 (define @t367 () (@list @t157 @t205 @t156 @t25)) % 1.23/1.42 (define @t368 () (tptp.class_Fields_Olinordered__field @t25)) % 1.23/1.42 (define @t369 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t24 @t23)) % 1.23/1.42 (define @t370 () (tptp.hAPP @t26 @t109)) % 1.23/1.42 (define @t371 () (tptp.hAPP @t370 @t23)) % 1.23/1.42 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t23)) % 1.23/1.42 (define @t373 () (@list @t109 @t24 @t23 @t25)) % 1.23/1.42 (define @t374 () (@list @t24 @t109 @t23 @t25)) % 1.23/1.42 (define @t375 () (@var "B_n" $$unsorted)) % 1.23/1.42 (define @t376 () (@var "V_k_2" $$unsorted)) % 1.23/1.42 (define @t377 () (@var "V_l_2" $$unsorted)) % 1.23/1.42 (define @t378 () (@list @t375)) % 1.23/1.42 (define @t379 () (@list @t377 @t376)) % 1.23/1.42 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t23)) % 1.23/1.42 (define @t381 () (@list @t109 @t23 @t24)) % 1.23/1.42 (define @t382 () (@list @t264 @t276 @t278)) % 1.23/1.42 (define @t383 () (tptp.class_Groups_Ocomm__monoid__add @t25)) % 1.23/1.42 (define @t384 () (tptp.c_Polynomial_Odegree @t25 @t175)) % 1.23/1.42 (define @t385 () (@list @t44 @t46 @t25)) % 1.23/1.42 (define @t386 () (= @t91 @t7)) % 1.23/1.42 (define @t387 () (tptp.hAPP @t122 @t91)) % 1.23/1.42 (define @t388 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t181)) % 1.23/1.42 (define @t389 () (tptp.c_Polynomial_Odegree @t25 @t54)) % 1.23/1.42 (define @t390 () (@list @t109 @t264)) % 1.23/1.42 (define @t391 () (= @t46 @t89)) % 1.23/1.42 (define @t392 () (not @t391)) % 1.23/1.42 (define @t393 () (tptp.hAPP @t27 @t109)) % 1.23/1.42 (define @t394 () (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t87)) % 1.23/1.42 (define @t395 () (tptp.c_Orderings_Oord__class_Oless @t25 @t157 @t87)) % 1.23/1.42 (define @t396 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t156)) % 1.23/1.42 (define @t397 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t157)) % 1.23/1.42 (define @t398 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t369)) % 1.23/1.42 (define @t399 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t24)) % 1.23/1.42 (define @t400 () (tptp.c_Orderings_Oord__class_Oless @t25 @t369 @t87)) % 1.23/1.42 (define @t401 () (tptp.c_Orderings_Oord__class_Oless @t25 @t23 @t87)) % 1.23/1.42 (define @t402 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t87)) % 1.23/1.42 (define @t403 () (tptp.c_Orderings_Oord__class_Oless @t25 @t163 @t162)) % 1.23/1.42 (define @t404 () (=> @t211 @t283)) % 1.23/1.42 (define @t405 () (@var "V_wa_2" $$unsorted)) % 1.23/1.42 (define @t406 () (tptp.hAPP @t26 @t405)) % 1.23/1.42 (define @t407 () (tptp.hAPP @t406 @t114)) % 1.23/1.42 (define @t408 () (tptp.hAPP @t26 @t91)) % 1.23/1.42 (define @t409 () (tptp.hAPP @t408 @t116)) % 1.23/1.42 (define @t410 () (= @t114 @t87)) % 1.23/1.42 (define @t411 () (not @t410)) % 1.23/1.42 (define @t412 () (tptp.class_Fields_Ofield @t25)) % 1.23/1.42 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t369)) % 1.23/1.42 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t369 @t87)) % 1.23/1.42 (define @t415 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t23 @t264)) % 1.23/1.42 (define @t416 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t24 @t109)) % 1.23/1.42 (define @t417 () (tptp.c_Orderings_Oord__class_Oless @t25 @t416 @t415)) % 1.23/1.42 (define @t418 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t264)) % 1.23/1.42 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t23)) % 1.23/1.42 (define @t420 () (@list @t109 @t264 @t23 @t24 @t25)) % 1.23/1.42 (define @t421 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t264 @t109)) % 1.23/1.42 (define @t422 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t87)) % 1.23/1.42 (define @t423 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t113 @t57)) % 1.23/1.42 (define @t424 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t113 @t56)) % 1.23/1.42 (define @t425 () (=> @t330 (tptp.c_Orderings_Oord__class_Oless @t25 @t424 @t423))) % 1.23/1.42 (define @t426 () (tptp.c_Orderings_Oord__class_Oless @t25 @t207 @t156)) % 1.23/1.42 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t25 @t209 @t157)) % 1.23/1.42 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t207)) % 1.23/1.42 (define @t429 () (tptp.c_Orderings_Oord__class_Oless @t25 @t157 @t209)) % 1.23/1.42 (define @t430 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t371)) % 1.23/1.42 (define @t431 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t430 @t23)) % 1.23/1.42 (define @t432 () (not (= @t23 @t87))) % 1.23/1.42 (define @t433 () (tptp.hAPP @t370 @t24)) % 1.23/1.42 (define @t434 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t23 @t109)) % 1.23/1.42 (define @t435 () (not (= @t109 @t87))) % 1.23/1.42 (define @t436 () (@list @t23 @t24 @t109 @t25)) % 1.23/1.42 (define @t437 () (tptp.hAPP @t78 @t109)) % 1.23/1.42 (define @t438 () (tptp.hAPP (tptp.hAPP @t26 @t264) @t23)) % 1.23/1.42 (define @t439 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t264 @t109)) % 1.23/1.42 (define @t440 () (@list @t264 @t24 @t109 @t23 @t25)) % 1.23/1.42 (define @t441 () (tptp.c_Rings_Oinverse__class_Odivide @t25 @t164 @t189)) % 1.23/1.42 (define @t442 () (=> @t330 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t424 @t423))) % 1.23/1.42 (define @t443 () (@list @t179)) % 1.23/1.42 (define @t444 () (@list @t56 @t57)) % 1.23/1.42 (define @t445 () (@var "V_h" $$unsorted)) % 1.23/1.42 (define @t446 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t408 @t91) (tptp.hAPP (tptp.hAPP @t26 @t114) @t114))) % 1.23/1.42 (define @t447 () (@list @t114 @t91 @t25)) % 1.23/1.42 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t190 (tptp.hAPP @t78 @t23))) % 1.23/1.42 (define @t449 () (and @t92 @t410)) % 1.23/1.42 (define @t450 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.23/1.42 (define @t451 () (tptp.hAPP @t450 @t269)) % 1.23/1.42 (define @t452 () (tptp.hAPP @t451 @t179)) % 1.23/1.42 (define @t453 () (tptp.hAPP @t451 @t238)) % 1.23/1.42 (define @t454 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t179)) % 1.23/1.42 (define @t455 () (@list @t179 @t238 @t269)) % 1.23/1.42 (define @t456 () (@list @t179 @t238)) % 1.23/1.42 (define @t457 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t179 @t238)) % 1.23/1.42 (define @t458 () (@list @t238 @t179)) % 1.23/1.42 (define @t459 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t271 @t269)) % 1.23/1.42 (define @t460 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t270 @t271)) % 1.23/1.42 (define @t461 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t460 @t269)) % 1.23/1.42 (define @t462 () (tptp.hAPP @t450 @t179)) % 1.23/1.42 (define @t463 () (tptp.hAPP @t462 @t269)) % 1.23/1.42 (define @t464 () (tptp.hAPP @t450 @t238)) % 1.23/1.42 (define @t465 () (tptp.hAPP @t464 @t269)) % 1.23/1.42 (define @t466 () (@list @t269 @t179 @t238)) % 1.23/1.42 (define @t467 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t179)) % 1.23/1.42 (define @t468 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t269 @t179)) % 1.23/1.42 (define @t469 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t269 @t238)) % 1.23/1.42 (define @t470 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t179 @t269)) % 1.23/1.42 (define @t471 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t269)) % 1.23/1.42 (define @t472 () (@list @t179 @t269 @t238)) % 1.23/1.42 (define @t473 () (@var "V_n_2" $$unsorted)) % 1.23/1.42 (define @t474 () (@var "V_ma_2" $$unsorted)) % 1.23/1.42 (define @t475 () (= @t474 @t473)) % 1.23/1.42 (define @t476 () (@list @t473 @t376 @t474)) % 1.23/1.42 (define @t477 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t376 @t473)) % 1.23/1.42 (define @t478 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t376 @t474)) % 1.23/1.42 (define @t479 () (@list @t473 @t474 @t376)) % 1.23/1.42 (define @t480 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t109)) % 1.23/1.42 (define @t481 () (= @t179 @t143)) % 1.23/1.42 (define @t482 () (= @t238 @t179)) % 1.23/1.42 (define @t483 () (= @t467 @t143)) % 1.23/1.42 (define @t484 () (= @t238 @t143)) % 1.23/1.42 (define @t485 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.23/1.42 (define @t486 () (tptp.hAPP @t464 @t179)) % 1.23/1.42 (define @t487 () (= @t376 @t143)) % 1.23/1.42 (define @t488 () (or @t475 @t487)) % 1.23/1.42 (define @t489 () (tptp.hAPP @t450 @t473)) % 1.23/1.42 (define @t490 () (tptp.hAPP @t489 @t376)) % 1.23/1.42 (define @t491 () (tptp.hAPP @t450 @t474)) % 1.23/1.42 (define @t492 () (tptp.hAPP @t491 @t376)) % 1.23/1.42 (define @t493 () (tptp.hAPP @t450 @t376)) % 1.23/1.42 (define @t494 () (tptp.hAPP @t493 @t473)) % 1.23/1.42 (define @t495 () (tptp.hAPP @t493 @t474)) % 1.23/1.42 (define @t496 () (= @t495 @t494)) % 1.23/1.42 (define @t497 () (= @t473 @t143)) % 1.23/1.42 (define @t498 () (= @t474 @t143)) % 1.23/1.42 (define @t499 () (tptp.hAPP @t491 @t473)) % 1.23/1.42 (define @t500 () (@list @t473 @t474)) % 1.23/1.42 (define @t501 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t474 @t473)) % 1.23/1.42 (define @t502 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t485)) % 1.23/1.42 (define @t503 () (not @t484)) % 1.23/1.42 (define @t504 () (@list @t238)) % 1.23/1.42 (define @t505 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t270 @t271)) % 1.23/1.42 (define @t506 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t271 @t270)) % 1.23/1.42 (define @t507 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t473 @t474)) % 1.23/1.42 (define @t508 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t473)) % 1.23/1.42 (define @t509 () (not @t475)) % 1.23/1.42 (define @t510 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t23)) % 1.23/1.42 (define @t511 () (not @t482)) % 1.23/1.42 (define @t512 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t238)) % 1.23/1.42 (define @t513 () (@var "V_t" $$unsorted)) % 1.23/1.42 (define @t514 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t271 @t238)) % 1.23/1.42 (define @t515 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 @t271)) % 1.23/1.42 (define @t516 () (@list @t238 @t271 @t270)) % 1.23/1.42 (define @t517 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t271)) % 1.23/1.42 (define @t518 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t270 @t269)) % 1.23/1.42 (define @t519 () (@var "V_l" $$unsorted)) % 1.23/1.42 (define @t520 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t271 @t519)) % 1.23/1.42 (define @t521 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t269 @t519)) % 1.23/1.42 (define @t522 () (@list @t519 @t269 @t271 @t270)) % 1.23/1.42 (define @t523 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t238 @t179)) % 1.23/1.42 (define @t524 () (@var "V_P_2" $$unsorted)) % 1.23/1.42 (define @t525 () (tptp.hAPP @t524 @t473)) % 1.23/1.42 (define @t526 () (tptp.hBOOL (tptp.hAPP @t525 @t474))) % 1.23/1.42 (define @t527 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t238)) % 1.23/1.42 (define @t528 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t179)) % 1.23/1.42 (define @t529 () (@list @t519 @t179 @t238)) % 1.23/1.42 (define @t530 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t271 @t269)) % 1.23/1.42 (define @t531 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t179 @t467) @t238)) % 1.23/1.42 (define @t532 () (not @t523)) % 1.23/1.42 (define @t533 () (@var "V_j_2" $$unsorted)) % 1.23/1.42 (define @t534 () (@var "V_i_2" $$unsorted)) % 1.23/1.42 (define @t535 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t534 @t376)) % 1.23/1.42 (define @t536 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t533 @t376)) % 1.23/1.42 (define @t537 () (@list @t376 @t533 @t534)) % 1.23/1.42 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t179)) % 1.23/1.42 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 @t179)) % 1.23/1.42 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t471 @t179)) % 1.23/1.42 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t473)) % 1.23/1.42 (define @t542 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t473 @t376)) % 1.23/1.42 (define @t543 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t474 @t376)) % 1.23/1.42 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t376 @t473)) % 1.23/1.42 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t376 @t474)) % 1.23/1.42 (define @t546 () (tptp.hAPP @t450 @t271)) % 1.23/1.42 (define @t547 () (tptp.hAPP @t450 @t270)) % 1.23/1.42 (define @t548 () (tptp.hAPP @t547 @t269)) % 1.23/1.42 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t519)) % 1.23/1.42 (define @t550 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t270 @t271)) % 1.23/1.42 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t179 @t238)) % 1.23/1.42 (define @t552 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t271 @t269)) % 1.23/1.42 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t552 @t270)) % 1.23/1.42 (define @t554 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t506 @t269)) % 1.23/1.42 (define @t555 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t271)) % 1.23/1.42 (define @t556 () (@list @t270 @t271 @t269)) % 1.23/1.42 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t270 @t552)) % 1.23/1.42 (define @t558 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t505 @t269)) % 1.23/1.42 (define @t559 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t533 @t534)) % 1.23/1.42 (define @t560 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t534 @t533)) % 1.23/1.42 (define @t561 () (@list @t179 @t270)) % 1.23/1.42 (define @t562 () (tptp.hAPP @t451 @t271)) % 1.23/1.42 (define @t563 () (tptp.hAPP @t451 @t270)) % 1.23/1.42 (define @t564 () (tptp.hAPP @t546 @t269)) % 1.23/1.42 (define @t565 () (@list @t238 @t179 @t269)) % 1.23/1.42 (define @t566 () (@var "B_k" $$unsorted)) % 1.23/1.42 (define @t567 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t474 @t566)) % 1.23/1.42 (define @t568 () (@list @t566)) % 1.23/1.42 (define @t569 () (tptp.hAPP @t464 @t238)) % 1.23/1.42 (define @t570 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t57 @t244)) % 1.23/1.42 (define @t571 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t179)) % 1.23/1.42 (define @t572 () (not @t481)) % 1.23/1.42 (define @t573 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t269)) % 1.23/1.42 (define @t574 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t238)) % 1.23/1.42 (define @t575 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t376)) % 1.23/1.42 (define @t576 () (and @t575 @t508)) % 1.23/1.42 (define @t577 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t495 @t494)) % 1.23/1.42 (define @t578 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t473)) % 1.23/1.42 (define @t579 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t474)) % 1.23/1.42 (define @t580 () (@list @t474 @t473)) % 1.23/1.42 (define @t581 () (tptp.hBOOL (tptp.hAPP @t524 @t16))) % 1.23/1.42 (define @t582 () (= @t157 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t156 @t16))) % 1.23/1.42 (define @t583 () (tptp.hBOOL (tptp.hAPP @t524 @t143))) % 1.23/1.42 (define @t584 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t156)) % 1.23/1.42 (define @t585 () (tptp.hBOOL (tptp.hAPP @t524 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t156)))) % 1.23/1.42 (define @t586 () (@list @t156 @t157 @t524)) % 1.23/1.42 (define @t587 () (not @t583)) % 1.23/1.42 (define @t588 () (not @t497)) % 1.23/1.42 (define @t589 () (@list @t473)) % 1.23/1.42 (define @t590 () (@list @t113 @t57 @t56)) % 1.23/1.42 (define @t591 () (or @t508 @t475)) % 1.23/1.42 (define @t592 () (=> @t575 @t541)) % 1.23/1.42 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t495 @t494)) % 1.23/1.42 (define @t594 () (tptp.hAPP @t2 @t157)) % 1.23/1.42 (define @t595 () (tptp.hAPP @t2 @t156)) % 1.23/1.42 (define @t596 () (tptp.hAPP @t10 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t595 @t594) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t156 @t157)))) % 1.23/1.42 (define @t597 () (tptp.c_Orderings_Oord__class_Oless @t25 @t164 @t87)) % 1.23/1.42 (define @t598 () (=> @t333 @t597)) % 1.23/1.42 (define @t599 () (tptp.class_Groups_Oordered__comm__monoid__add @t25)) % 1.23/1.42 (define @t600 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t57 @t113)) % 1.23/1.42 (define @t601 () (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t164)) % 1.23/1.42 (define @t602 () (=> @t331 @t601)) % 1.23/1.42 (define @t603 () (@var "V_u_2" $$unsorted)) % 1.23/1.42 (define @t604 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t534 @t533)) @t603) @t474)) % 1.23/1.42 (define @t605 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 @t533) @t603) @t473)) % 1.23/1.42 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 @t534) @t603) @t474)) % 1.23/1.42 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t606 @t605)) % 1.23/1.42 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t533 @t534)) % 1.23/1.42 (define @t609 () (@list @t473 @t474 @t603 @t534 @t533)) % 1.23/1.42 (define @t610 () (and (= @t474 @t485) (= @t473 @t485))) % 1.23/1.42 (define @t611 () (tptp.hAPP @t462 @t238)) % 1.23/1.42 (define @t612 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t57 @t113)) % 1.23/1.42 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t164 @t113)) % 1.23/1.42 (define @t614 () (= @t613 (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t612))) % 1.23/1.42 (define @t615 () (= @t156 @t205)) % 1.23/1.42 (define @t616 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t157 @t205)) % 1.23/1.42 (define @t617 () (tptp.class_Groups_Ocancel__semigroup__add @t25)) % 1.23/1.42 (define @t618 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t205 @t157)) % 1.23/1.42 (define @t619 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t156 @t157)) % 1.23/1.42 (define @t620 () (= @t57 @t113)) % 1.23/1.42 (define @t621 () (=> (= @t164 @t217) @t620)) % 1.23/1.42 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t113 @t56)) % 1.23/1.42 (define @t623 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t57 @t56)) % 1.23/1.42 (define @t624 () (= @t205 @t228)) % 1.23/1.42 (define @t625 () (= @t236 (tptp.c_Groups_Ominus__class_Ominus @t25 @t205 @t228))) % 1.23/1.42 (define @t626 () (@list @t228 @t205 @t156 @t157 @t25)) % 1.23/1.42 (define @t627 () (tptp.hAPP @t546 @t196)) % 1.23/1.42 (define @t628 () (tptp.hAPP @t547 @t196)) % 1.23/1.42 (define @t629 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t87 @t56) @t56)) % 1.23/1.42 (define @t630 () (tptp.class_Groups_Omonoid__add @t25)) % 1.23/1.42 (define @t631 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t157 @t157)) % 1.23/1.42 (define @t632 () (tptp.class_Groups_Olinordered__ab__group__add @t25)) % 1.23/1.42 (define @t633 () (@list @t157 @t25)) % 1.23/1.42 (define @t634 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t87) @t56)) % 1.23/1.42 (define @t635 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t156 @t205)) % 1.23/1.42 (define @t636 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t25)) % 1.23/1.42 (define @t637 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t205 @t156)) % 1.23/1.42 (define @t638 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t217 @t612)) % 1.23/1.42 (define @t639 () (tptp.class_Groups_Oordered__ab__semigroup__add @t25)) % 1.23/1.42 (define @t640 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t113 @t57)) % 1.23/1.42 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t622 @t640)) % 1.23/1.42 (define @t642 () (tptp.c_Orderings_Oord__class_Oless @t25 @t622 @t640)) % 1.23/1.42 (define @t643 () (tptp.c_Orderings_Oord__class_Oless @t25 @t217 @t612)) % 1.23/1.42 (define @t644 () (tptp.c_Orderings_Oord__class_Oless @t25 @t217 @t570)) % 1.23/1.42 (define @t645 () (=> @t348 @t644)) % 1.23/1.42 (define @t646 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t25)) % 1.23/1.42 (define @t647 () (= @t236 @t87)) % 1.23/1.42 (define @t648 () (tptp.class_Groups_Ogroup__add @t25)) % 1.23/1.42 (define @t649 () (tptp.class_Groups_Oordered__ab__group__add @t25)) % 1.23/1.42 (define @t650 () (= (tptp.hAPP @t63 @t145) @t56)) % 1.23/1.42 (define @t651 () (tptp.class_Groups_Ocomm__monoid__mult @t25)) % 1.23/1.42 (define @t652 () (tptp.class_Groups_Omonoid__mult @t25)) % 1.23/1.42 (define @t653 () (= (tptp.hAPP (tptp.hAPP @t26 @t145) @t56) @t56)) % 1.23/1.42 (define @t654 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 @t559) @t603) @t473)) % 1.23/1.42 (define @t655 () (= @t606 @t605)) % 1.23/1.42 (define @t656 () (@list @t473 @t474 @t603 @t533 @t534)) % 1.23/1.42 (define @t657 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t628 @t238) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t627 @t179))) % 1.23/1.42 (define @t658 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t606 @t605)) % 1.23/1.42 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t57 @t217)) % 1.23/1.42 (define @t660 () (= (tptp.c_Orderings_Oord__class_Oless @t25 @t631 @t87) @t395)) % 1.23/1.42 (define @t661 () (@list @t91)) % 1.23/1.42 (define @t662 () (tptp.hAPP (tptp.hAPP @t26 @t166) @t238)) % 1.23/1.42 (define @t663 () (tptp.hAPP @t63 @t238)) % 1.23/1.42 (define @t664 () (tptp.hAPP @t26 @t21)) % 1.23/1.42 (define @t665 () (= @t56 @t57)) % 1.23/1.42 (define @t666 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t25)) % 1.23/1.42 (define @t667 () (@var "V_ry" $$unsorted)) % 1.23/1.42 (define @t668 () (@var "V_lx" $$unsorted)) % 1.23/1.42 (define @t669 () (tptp.hAPP @t26 @t668)) % 1.23/1.42 (define @t670 () (@var "V_rx" $$unsorted)) % 1.23/1.42 (define @t671 () (tptp.hAPP @t26 @t670)) % 1.23/1.42 (define @t672 () (tptp.hAPP @t671 @t667)) % 1.23/1.42 (define @t673 () (tptp.hAPP @t669 @t672)) % 1.23/1.42 (define @t674 () (@list @t667 @t670 @t668 @t25)) % 1.23/1.42 (define @t675 () (tptp.hAPP @t26 (tptp.hAPP @t669 @t670))) % 1.23/1.42 (define @t676 () (@var "V_ly" $$unsorted)) % 1.23/1.42 (define @t677 () (tptp.hAPP @t26 @t676)) % 1.23/1.42 (define @t678 () (tptp.hAPP @t26 (tptp.hAPP @t669 @t676))) % 1.23/1.42 (define @t679 () (tptp.hAPP @t678 @t670)) % 1.23/1.42 (define @t680 () (@list @t670 @t676 @t668 @t25)) % 1.23/1.42 (define @t681 () (tptp.hAPP @t678 @t672)) % 1.23/1.42 (define @t682 () (@list @t667 @t670 @t676 @t668 @t25)) % 1.23/1.42 (define @t683 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t247)) % 1.23/1.42 (define @t684 () (@list @t244 @t113 @t56 @t25)) % 1.23/1.42 (define @t685 () (@list @t109 @t23 @t24 @t25)) % 1.23/1.42 (define @t686 () (@var "B_q" $$unsorted)) % 1.23/1.42 (define @t687 () (@list @t686)) % 1.23/1.42 (define @t688 () (tptp.class_Orderings_Opreorder @t25)) % 1.23/1.42 (define @t689 () (@var "B_K" $$unsorted)) % 1.23/1.42 (define @t690 () (tptp.hAPP (tptp.hAPP @t10 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t3)) @t689)) % 1.23/1.42 (define @t691 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.c_Rings_Oinverse__class_Odivide @t25 @t3 @t23)) @t690))) % 1.23/1.42 (define @t692 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t689)) % 1.23/1.42 (define @t693 () (@list @t689)) % 1.23/1.42 (define @t694 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.hAPP (tptp.hAPP @t26 @t3) @t23)) @t690))) % 1.23/1.42 (define @t695 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t23 @t24)) % 1.23/1.42 (define @t696 () (tptp.class_Orderings_Olinorder @t25)) % 1.23/1.42 (define @t697 () (@var "T_b" $$unsorted)) % 1.23/1.42 (define @t698 () (tptp.tc_fun @t25 @t697)) % 1.23/1.42 (define @t699 () (tptp.c_Orderings_Oord__class_Oless__eq @t698 @t2 @t1)) % 1.23/1.42 (define @t700 () (tptp.class_Orderings_Oord @t697)) % 1.23/1.42 (define @t701 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t109 @t23)) % 1.23/1.42 (define @t702 () (tptp.class_Orderings_Oorder @t25)) % 1.23/1.42 (define @t703 () (@list @t24 @t23 @t25)) % 1.23/1.42 (define @t704 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t23 @t109)) % 1.23/1.42 (define @t705 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t113 @t56)) % 1.23/1.42 (define @t706 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t56 @t113)) % 1.23/1.42 (define @t707 () (tptp.class_Orderings_Oord @t25)) % 1.23/1.42 (define @t708 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t91 @t114)) % 1.23/1.42 (define @t709 () (= @t708 @t288)) % 1.23/1.42 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t114 @t91)) % 1.23/1.42 (define @t711 () (@list @t91 @t114 @t25)) % 1.23/1.42 (define @t712 () (@list @t1 @t2 @t25 @t697)) % 1.23/1.42 (define @t713 () (tptp.c_Orderings_Oord__class_Oless @t25 @t114 @t91)) % 1.23/1.42 (define @t714 () (tptp.c_Orderings_Oord__class_Oless @t25 @t91 @t114)) % 1.23/1.42 (define @t715 () (not @t714)) % 1.23/1.42 (define @t716 () (= @t715 @t288)) % 1.23/1.42 (define @t717 () (not @t258)) % 1.23/1.42 (define @t718 () (tptp.c_Orderings_Oord__class_Oless @t25 @t56 @t113)) % 1.23/1.42 (define @t719 () (tptp.c_Orderings_Oord__class_Oless @t25 @t113 @t56)) % 1.23/1.42 (define @t720 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t109)) % 1.23/1.42 (define @t721 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t23 @t109) @t720)) % 1.23/1.42 (define @t722 () (tptp.c_Orderings_Oord__class_Oless @t25 @t109 @t24)) % 1.23/1.42 (define @t723 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t109 @t23) @t722)) % 1.23/1.42 (define @t724 () (not @t665)) % 1.23/1.42 (define @t725 () (=> @t701 @t722)) % 1.23/1.42 (define @t726 () (=> @t258 @t725)) % 1.23/1.42 (define @t727 () (forall @t373 (=> @t702 @t726))) % 1.23/1.42 (define @t728 () (@var "B_b" $$unsorted)) % 1.23/1.42 (define @t729 () (@var "B_a" $$unsorted)) % 1.23/1.42 (define @t730 () (forall (@list @t729 @t728) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.hAPP (tptp.hAPP @t26 @t729) @t728)) (tptp.hAPP (tptp.hAPP @t10 (tptp.hAPP (tptp.hAPP @t10 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t729)) (tptp.c_RealVector_Onorm__class_Onorm @t25 @t728))) @t689)))) % 1.23/1.42 (define @t731 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.hAPP @t27 @t3)) @t690))) % 1.23/1.42 (define @t732 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.23/1.42 (define @t733 () (tptp.hAPP @t450 @t183)) % 1.23/1.42 (define @t734 () (tptp.c_Polynomial_Opcompose @t25 @t46 @t44)) % 1.23/1.42 (define @t735 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.23/1.42 (define @t736 () (@var "V_r_2" $$unsorted)) % 1.23/1.42 (define @t737 () (= @t736 @t89)) % 1.23/1.42 (define @t738 () (= @t114 @t89)) % 1.23/1.42 (define @t739 () (= @t103 @t89)) % 1.23/1.42 (define @t740 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t480)) % 1.23/1.42 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t23)) % 1.23/1.42 (define @t742 () (@list @t23 @t109 @t24)) % 1.23/1.42 (define @t743 () (@var "V_q2" $$unsorted)) % 1.23/1.42 (define @t744 () (@var "V_q1" $$unsorted)) % 1.23/1.42 (define @t745 () (= @t744 @t743)) % 1.23/1.42 (define @t746 () (@var "V_r2" $$unsorted)) % 1.23/1.42 (define @t747 () (tptp.c_Polynomial_Opdivmod__rel @t25 @t24 @t23 @t743 @t746)) % 1.23/1.42 (define @t748 () (@var "V_r1" $$unsorted)) % 1.23/1.42 (define @t749 () (tptp.c_Polynomial_Opdivmod__rel @t25 @t24 @t23 @t744 @t748)) % 1.23/1.42 (define @t750 () (@list @t746 @t743 @t748 @t744 @t23 @t24 @t25)) % 1.23/1.42 (define @t751 () (= @t748 @t746)) % 1.23/1.42 (define @t752 () (@var "V_r_H" $$unsorted)) % 1.23/1.42 (define @t753 () (tptp.hAPP @t52 @t23)) % 1.23/1.42 (define @t754 () (@var "V_q_H" $$unsorted)) % 1.23/1.42 (define @t755 () (tptp.hAPP @t753 @t109)) % 1.23/1.42 (define @t756 () (tptp.c_Polynomial_Opdivmod__rel @t25 @t24 @t23 @t44 @t21)) % 1.23/1.42 (define @t757 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t480)) % 1.23/1.42 (define @t758 () (@var "B_i" $$unsorted)) % 1.23/1.42 (define @t759 () (tptp.hAPP @t524 @t758)) % 1.23/1.42 (define @t760 () (tptp.hBOOL @t759)) % 1.23/1.42 (define @t761 () (@list @t758)) % 1.23/1.42 (define @t762 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t689)) % 1.23/1.42 (define @t763 () (tptp.c_RComplete_Onatceiling @t24)) % 1.23/1.42 (define @t764 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t83)) % 1.23/1.42 (define @t765 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t24)) % 1.23/1.42 (define @t766 () (@var "V_M_2" $$unsorted)) % 1.23/1.42 (define @t767 () (@var "V_X_2" $$unsorted)) % 1.23/1.42 (define @t768 () (tptp.hAPP @t767 @t766)) % 1.23/1.42 (define @t769 () (tptp.hAPP @t767 @t375)) % 1.23/1.42 (define @t770 () (tptp.c_RealVector_Onorm__class_Onorm @t697 @t769)) % 1.23/1.42 (define @t771 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t766 @t375)) % 1.23/1.42 (define @t772 () (tptp.class_RealVector_Oreal__normed__vector @t697)) % 1.23/1.42 (define @t773 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t7)) % 1.23/1.42 (define @t774 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.23/1.42 (define @t775 () (@list @t57 @t56)) % 1.23/1.42 (define @t776 () (tptp.c_RComplete_Onatceiling @t91)) % 1.23/1.42 (define @t777 () (tptp.c_RComplete_Onatfloor @t24)) % 1.23/1.42 (define @t778 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t179 @t485)) % 1.23/1.42 (define @t779 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t179)) % 1.23/1.42 (define @t780 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t779 @t83)) % 1.23/1.42 (define @t781 () (@list @t24 @t179)) % 1.23/1.42 (define @t782 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t56)) % 1.23/1.42 (define @t783 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t782)) % 1.23/1.42 (define @t784 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t782 @t24)) % 1.23/1.42 (define @t785 () (@list @t24 @t56)) % 1.23/1.42 (define @t786 () (tptp.c_RComplete_Onatfloor @t56)) % 1.23/1.42 (define @t787 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t24)) % 1.23/1.42 (define @t788 () (@list @t56 @t24)) % 1.23/1.42 (define @t789 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t157)) % 1.23/1.42 (define @t790 () (tptp.c_RComplete_Onatfloor @t91)) % 1.23/1.42 (define @t791 () (@list @t157 @t91)) % 1.23/1.42 (define @t792 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t777)) % 1.23/1.42 (define @t793 () (= @t473 @t474)) % 1.23/1.42 (define @t794 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t474)) % 1.23/1.42 (define @t795 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t473)) % 1.23/1.42 (define @t796 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t474)) % 1.23/1.42 (define @t797 () (@list @t179 @t24)) % 1.23/1.42 (define @t798 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t238)) % 1.23/1.42 (define @t799 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t782)) % 1.23/1.42 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t91)) % 1.23/1.42 (define @t801 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t375)) % 1.23/1.42 (define @t802 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t21)) % 1.23/1.42 (define @t803 () (@list @t21)) % 1.23/1.42 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t24)) % 1.23/1.42 (define @t805 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.23/1.42 (define @t806 () (tptp.hAPP @t10 @t779)) % 1.23/1.42 (define @t807 () (tptp.hAPP @t450 @t46)) % 1.23/1.42 (define @t808 () (tptp.c_Power_Opower__class_Opower @t25)) % 1.23/1.42 (define @t809 () (tptp.hAPP @t808 @t24)) % 1.23/1.42 (define @t810 () (tptp.hAPP @t809 @t46)) % 1.23/1.42 (define @t811 () (@list @t44 @t46 @t24 @t25)) % 1.23/1.42 (define @t812 () (tptp.hAPP @t808 @t23)) % 1.23/1.42 (define @t813 () (tptp.hAPP @t809 @t44)) % 1.23/1.42 (define @t814 () (tptp.hAPP @t26 @t813)) % 1.23/1.42 (define @t815 () (tptp.hAPP (tptp.hAPP @t805 @t32) @t179)) % 1.23/1.42 (define @t816 () (tptp.hAPP @t809 @t179)) % 1.23/1.42 (define @t817 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t816)) % 1.23/1.42 (define @t818 () (@list @t179 @t24 @t25)) % 1.23/1.42 (define @t819 () (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t49) @t46) @t179)) % 1.23/1.42 (define @t820 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t238 @t179)) % 1.23/1.42 (define @t821 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t453 @t452)) % 1.23/1.42 (define @t822 () (= @t821 @t820)) % 1.23/1.42 (define @t823 () (= @t269 @t143)) % 1.23/1.42 (define @t824 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t779 @t787)) % 1.23/1.42 (define @t825 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t179 @t24))) % 1.23/1.42 (define @t826 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t824 @t825)) % 1.23/1.42 (define @t827 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t485)) % 1.23/1.42 (define @t828 () (tptp.hAPP @t808 @t238)) % 1.23/1.42 (define @t829 () (tptp.hAPP @t828 @t179)) % 1.23/1.42 (define @t830 () (tptp.class_Power_Opower @t25)) % 1.23/1.42 (define @t831 () (tptp.hAPP @t808 @t57)) % 1.23/1.42 (define @t832 () (tptp.hAPP @t831 @t179)) % 1.23/1.42 (define @t833 () (tptp.hAPP @t808 @t56)) % 1.23/1.42 (define @t834 () (tptp.hAPP @t833 @t179)) % 1.23/1.42 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t25 @t834 @t832)) % 1.23/1.42 (define @t836 () (@list @t179 @t57 @t56 @t25)) % 1.23/1.42 (define @t837 () (@var "B_j" $$unsorted)) % 1.23/1.42 (define @t838 () (@list @t758 @t837)) % 1.23/1.42 (define @t839 () (@list @t376 @t473 @t524)) % 1.23/1.42 (define @t840 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.23/1.42 (define @t841 () (tptp.hAPP @t840 @t24)) % 1.23/1.42 (define @t842 () (tptp.hAPP @t841 @t23)) % 1.23/1.42 (define @t843 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.23/1.42 (define @t844 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.23/1.42 (define @t845 () (tptp.hAPP @t844 @t270)) % 1.23/1.42 (define @t846 () (tptp.hAPP @t845 @t179)) % 1.23/1.42 (define @t847 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t91)) % 1.23/1.42 (define @t848 () (tptp.hAPP @t844 @t91)) % 1.23/1.42 (define @t849 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 (tptp.hAPP @t848 @t473))) % 1.23/1.42 (define @t850 () (@list @t473 @t91)) % 1.23/1.42 (define @t851 () (tptp.hAPP (tptp.hAPP @t805 @t798) @t179)) % 1.23/1.42 (define @t852 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t844 @t238) @t179))) % 1.23/1.42 (define @t853 () (tptp.hAPP (tptp.hAPP @t805 @t24) @t179)) % 1.23/1.42 (define @t854 () (tptp.hAPP @t844 @t46)) % 1.23/1.42 (define @t855 () (tptp.hAPP @t854 @t238)) % 1.23/1.42 (define @t856 () (@list @t179 @t56 @t25)) % 1.23/1.42 (define @t857 () (tptp.hAPP @t63 @t834)) % 1.23/1.42 (define @t858 () (tptp.hAPP @t26 @t834)) % 1.23/1.42 (define @t859 () (tptp.hAPP @t858 @t56)) % 1.23/1.42 (define @t860 () (@list @t179 @t25)) % 1.23/1.42 (define @t861 () (tptp.class_Divides_Osemiring__div @t25)) % 1.23/1.42 (define @t862 () (= (tptp.hAPP (tptp.hAPP @t808 @t168) @t179) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t834 @t832))) % 1.23/1.42 (define @t863 () (tptp.hAPP @t833 @t238)) % 1.23/1.42 (define @t864 () (@list @t179 @t238 @t56 @t25)) % 1.23/1.42 (define @t865 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t145 @t56)) % 1.23/1.42 (define @t866 () (tptp.hAPP @t808 @t157)) % 1.23/1.42 (define @t867 () (tptp.hAPP @t866 @t473)) % 1.23/1.42 (define @t868 () (tptp.c_Divides_Odiv__class_Odiv @t25 @t56 @t57)) % 1.23/1.42 (define @t869 () (tptp.c_Divides_Odiv__class_Odiv @t25 @t129 @t128)) % 1.23/1.42 (define @t870 () (=> @t203 (= @t869 @t868))) % 1.23/1.42 (define @t871 () (=> @t523 (= @t820 @t143))) % 1.23/1.42 (define @t872 () (@list @t57 @t179 @t56 @t25)) % 1.23/1.42 (define @t873 () (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t56)) % 1.23/1.42 (define @t874 () (tptp.hAPP @t808 @t87)) % 1.23/1.42 (define @t875 () (tptp.hAPP @t874 @t179)) % 1.23/1.42 (define @t876 () (and @t830 (tptp.class_Rings_Osemiring__0 @t25))) % 1.23/1.42 (define @t877 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t113 @t868)) % 1.23/1.42 (define @t878 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t134)) % 1.23/1.42 (define @t879 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t128)) % 1.23/1.42 (define @t880 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t868 @t145)) % 1.23/1.42 (define @t881 () (tptp.hAPP @t808 @t156)) % 1.23/1.42 (define @t882 () (tptp.hAPP @t881 @t114)) % 1.23/1.42 (define @t883 () (tptp.hAPP @t881 @t91)) % 1.23/1.42 (define @t884 () (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t156)) % 1.23/1.42 (define @t885 () (@list @t114 @t91 @t156 @t25)) % 1.23/1.42 (define @t886 () (@var "V_N" $$unsorted)) % 1.23/1.42 (define @t887 () (tptp.hAPP @t833 @t886)) % 1.23/1.42 (define @t888 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t886)) % 1.23/1.42 (define @t889 () (@list @t56 @t886 @t179 @t25)) % 1.23/1.42 (define @t890 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t179 @t886)) % 1.23/1.42 (define @t891 () (tptp.c_Orderings_Oord__class_Oless @t25 @t56 @t145)) % 1.23/1.42 (define @t892 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.23/1.42 (define @t893 () (@var "V_b_1" $$unsorted)) % 1.23/1.42 (define @t894 () (@var "V_a_1" $$unsorted)) % 1.23/1.42 (define @t895 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.23/1.42 (define @t896 () (@var "V_r_1" $$unsorted)) % 1.23/1.42 (define @t897 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t893)) % 1.23/1.42 (define @t898 () (= @t473 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t376) @t758) @t837))) % 1.23/1.42 (define @t899 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t376 @t837) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t837 @t895) @t898)) % 1.23/1.42 (define @t900 () (@list @t837)) % 1.23/1.42 (define @t901 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t376 @t895)) % 1.23/1.42 (define @t902 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t376)) % 1.23/1.42 (define @t903 () (= @t376 @t895)) % 1.23/1.42 (define @t904 () (tptp.hAPP @t524 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t473 @t376))) % 1.23/1.42 (define @t905 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t57)) % 1.23/1.42 (define @t906 () (tptp.hAPP @t843 @t57)) % 1.23/1.42 (define @t907 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.23/1.42 (define @t908 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t21)) % 1.23/1.42 (define @t909 () (= @t56 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 (tptp.hAPP (tptp.hAPP @t843 @t56) @t44)))) % 1.23/1.42 (define @t910 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t56)) % 1.23/1.42 (define @t911 () (@list @t44 @t21 @t56)) % 1.23/1.42 (define @t912 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t62)) % 1.23/1.42 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t752 @t62)) % 1.23/1.42 (define @t914 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t62) @t754) @t752)) % 1.23/1.42 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t914)) % 1.23/1.42 (define @t916 () (@list @t752 @t754 @t62)) % 1.23/1.42 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t752)) % 1.23/1.42 (define @t918 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t914 @t895)) % 1.23/1.42 (define @t919 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t754 @t44)) % 1.23/1.42 (define @t920 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t57)) % 1.23/1.42 (define @t921 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t906 @t44) @t21)) % 1.23/1.42 (define @t922 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t906 @t754) @t752) @t921)) % 1.23/1.42 (define @t923 () (@list @t21 @t44 @t752 @t754 @t57)) % 1.23/1.42 (define @t924 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t44 @t754)) % 1.23/1.42 (define @t925 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t62 @t57)) % 1.23/1.42 (define @t926 () (= @t921 @t914)) % 1.23/1.42 (define @t927 () (@list @t752 @t754 @t62 @t21 @t44 @t57)) % 1.23/1.42 (define @t928 () (tptp.hAPP @t843 @t269)) % 1.23/1.42 (define @t929 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t269)) % 1.23/1.42 (define @t930 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t270 @t271)) % 1.23/1.42 (define @t931 () (tptp.hAPP @t843 @t264)) % 1.23/1.42 (define @t932 () (tptp.hAPP @t931 @t276)) % 1.23/1.42 (define @t933 () (tptp.hAPP @t931 @t278)) % 1.23/1.42 (define @t934 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t278 @t276)) % 1.23/1.42 (define @t935 () (@list @t276 @t278 @t264)) % 1.23/1.42 (define @t936 () (tptp.hAPP @t843 @t276)) % 1.23/1.42 (define @t937 () (tptp.hAPP @t936 @t264)) % 1.23/1.42 (define @t938 () (tptp.hAPP @t843 @t278)) % 1.23/1.42 (define @t939 () (tptp.hAPP @t938 @t264)) % 1.23/1.42 (define @t940 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t278 @t276)) % 1.23/1.42 (define @t941 () (tptp.hAPP @t843 @t109)) % 1.23/1.42 (define @t942 () (tptp.c_Divides_Odiv__class_Odiv @t49 @t24 @t23)) % 1.23/1.42 (define @t943 () (@var "V_one_2" $$unsorted)) % 1.23/1.42 (define @t944 () (@var "V_times_2" $$unsorted)) % 1.23/1.42 (define @t945 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t25 @t943 @t944) @t157)) % 1.23/1.42 (define @t946 () (@var "B_r" $$unsorted)) % 1.23/1.42 (define @t947 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t56)) % 1.23/1.42 (define @t948 () (@list @t56 @t179)) % 1.23/1.42 (define @t949 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t57)) % 1.23/1.42 (define @t950 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t895)) % 1.23/1.42 (define @t951 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t157 @t156)) % 1.23/1.42 (define @t952 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t951 @t895)) % 1.23/1.42 (define @t953 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t156 @t895)) % 1.23/1.42 (define @t954 () (@list @t157 @t156)) % 1.23/1.42 (define @t955 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t156)) % 1.23/1.42 (define @t956 () (@list @t57)) % 1.23/1.42 (define @t957 () (@list @t56)) % 1.23/1.42 (define @t958 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t534 @t376)) % 1.23/1.42 (define @t959 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t157)) % 1.23/1.42 (define @t960 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t951)) % 1.23/1.42 (define @t961 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t23)) % 1.23/1.42 (define @t962 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t24)) % 1.23/1.42 (define @t963 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t62)) % 1.23/1.42 (define @t964 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t56)) % 1.23/1.42 (define @t965 () (@list @t57 @t62 @t56)) % 1.23/1.42 (define @t966 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t905 @t895)) % 1.23/1.42 (define @t967 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t895)) % 1.23/1.42 (define @t968 () (= @t905 @t895)) % 1.23/1.42 (define @t969 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t56 @t895)) % 1.23/1.42 (define @t970 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t73 @t57)) % 1.23/1.42 (define @t971 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t56 @t73)) % 1.23/1.42 (define @t972 () (@list @t57 @t73 @t56)) % 1.23/1.42 (define @t973 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t907 @t109)) % 1.23/1.42 (define @t974 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t405 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t116 @t907))) % 1.23/1.42 (define @t975 () (@list @t116 @t405)) % 1.23/1.42 (define @t976 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t405 @t116)) % 1.23/1.42 (define @t977 () (@list @t116)) % 1.23/1.42 (define @t978 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t264 @t109)) % 1.23/1.42 (define @t979 () (@var "V_z_H" $$unsorted)) % 1.23/1.42 (define @t980 () (@var "V_w_H" $$unsorted)) % 1.23/1.42 (define @t981 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t270 @t271)) % 1.23/1.42 (define @t982 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t264 @t109)) % 1.23/1.42 (define @t983 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t109 @t264)) % 1.23/1.42 (define @t984 () (tptp.c_Complex_Orcis @t746 @t57)) % 1.23/1.42 (define @t985 () (tptp.c_Complex_Orcis @t748 @t56)) % 1.23/1.42 (define @t986 () (@list @t57 @t746 @t56 @t748)) % 1.23/1.42 (define @t987 () (tptp.c_Nat_OSuc @t143)) % 1.23/1.42 (define @t988 () (tptp.hAPP @t840 @t269)) % 1.23/1.42 (define @t989 () (@list @t269 @t238)) % 1.23/1.42 (define @t990 () (tptp.c_Nat__Transfer_Otsub @t24 @t23)) % 1.23/1.42 (define @t991 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t23 @t24)) % 1.23/1.42 (define @t992 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t24 @t23)) % 1.23/1.42 (define @t993 () (=> @t991 (= @t990 @t992))) % 1.23/1.42 (define @t994 () (@list @t24 @t23)) % 1.23/1.42 (define @t995 () (tptp.c_Nat_OSuc @t179)) % 1.23/1.42 (define @t996 () (tptp.c_Nat_OSuc @t238)) % 1.23/1.42 (define @t997 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t996 @t995)) % 1.23/1.42 (define @t998 () (tptp.c_Nat_OSuc @t473)) % 1.23/1.42 (define @t999 () (tptp.hAPP @t450 (tptp.c_Nat_OSuc @t376))) % 1.23/1.42 (define @t1000 () (tptp.hAPP @t999 @t473)) % 1.23/1.42 (define @t1001 () (tptp.hAPP @t999 @t474)) % 1.23/1.42 (define @t1002 () (tptp.hAPP @t809 (tptp.c_Nat_OSuc @t44))) % 1.23/1.42 (define @t1003 () (@list @t44 @t24 @t25)) % 1.23/1.42 (define @t1004 () (tptp.hAPP @t27 @t813)) % 1.23/1.42 (define @t1005 () (tptp.hAPP @t833 @t995)) % 1.23/1.42 (define @t1006 () (@var "V_nat_H_2" $$unsorted)) % 1.23/1.42 (define @t1007 () (@var "V_nat_2" $$unsorted)) % 1.23/1.42 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t998 @t474)) % 1.23/1.42 (define @t1009 () (tptp.c_Nat_OSuc @t474)) % 1.23/1.42 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 @t995)) % 1.23/1.42 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t996 @t179)) % 1.23/1.42 (define @t1012 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t996 @t179)) % 1.23/1.42 (define @t1013 () (tptp.c_Nat_OSuc @t454)) % 1.23/1.42 (define @t1014 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t995)) % 1.23/1.42 (define @t1015 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t996 @t179)) % 1.23/1.42 (define @t1016 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t996 @t179)) % 1.23/1.42 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t238 @t995)) % 1.23/1.42 (define @t1018 () (tptp.c_Nat_OSuc @t270)) % 1.23/1.42 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t473 @t1009)) % 1.23/1.42 (define @t1020 () (= @t1019 @t793)) % 1.23/1.42 (define @t1021 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t998)) % 1.23/1.42 (define @t1022 () (@var "V_nat_H" $$unsorted)) % 1.23/1.42 (define @t1023 () (@var "V_nat_H_1" $$unsorted)) % 1.23/1.42 (define @t1024 () (@list @t238 @t270)) % 1.23/1.42 (define @t1025 () (= @t473 @t987)) % 1.23/1.42 (define @t1026 () (= @t474 @t987)) % 1.23/1.42 (define @t1027 () (or (and @t1026 @t497) (and @t498 @t1025))) % 1.23/1.42 (define @t1028 () (tptp.c_Nat_OSuc @t987)) % 1.23/1.42 (define @t1029 () (tptp.hAPP @t831 @t995)) % 1.23/1.42 (define @t1030 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t987 @t238)) % 1.23/1.42 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t987 @t179)) % 1.23/1.42 (define @t1032 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t995)) % 1.23/1.42 (define @t1033 () (tptp.c_Nat_OSuc @t271)) % 1.23/1.42 (define @t1034 () (tptp.c_Nat_OSuc @t552)) % 1.23/1.42 (define @t1035 () (@list @t238 @t271 @t269)) % 1.23/1.42 (define @t1036 () (tptp.c_Nat_OSuc @t827)) % 1.23/1.42 (define @t1037 () (= @t820 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t467 @t179)))) % 1.23/1.42 (define @t1038 () (=> @t532 @t1037)) % 1.23/1.42 (define @t1039 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t25 @t46)) % 1.23/1.42 (define @t1040 () (@var "B_N" $$unsorted)) % 1.23/1.42 (define @t1041 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t1040))) % 1.23/1.42 (define @t1042 () (@list @t1040)) % 1.23/1.42 (define @t1043 () (exists @t693 (and @t692 (forall @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t770 @t689))))) % 1.23/1.42 (define @t1044 () (@list @t767 @t697)) % 1.23/1.42 (define @t1045 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t474 @t473)) % 1.23/1.42 (define @t1046 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t375))) % 1.23/1.42 (define @t1047 () (@var "B_y" $$unsorted)) % 1.23/1.42 (define @t1048 () (tptp.c_Transcendental_Oln @t24)) % 1.23/1.42 (define @t1049 () (tptp.c_Transcendental_Oln @t114)) % 1.23/1.42 (define @t1050 () (tptp.c_Transcendental_Oln @t91)) % 1.23/1.42 (define @t1051 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t114)) % 1.23/1.42 (define @t1052 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t91)) % 1.23/1.42 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t1048)) % 1.23/1.42 (define @t1054 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t1048)) % 1.23/1.42 (define @t1055 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t24)) % 1.23/1.42 (define @t1056 () (tptp.c_Transcendental_Oln @t23)) % 1.23/1.42 (define @t1057 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t244)) % 1.23/1.42 (define @t1058 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t238 @t179)) % 1.23/1.42 (define @t1059 () (tptp.c_Nat_OSuc @t1058)) % 1.23/1.42 (define @t1060 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t996 @t179)) % 1.23/1.42 (define @t1061 () (= @t1059 @t179)) % 1.23/1.42 (define @t1062 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t56 @t57)) % 1.23/1.42 (define @t1063 () (tptp.c_Divides_Odiv__class_Omod @t25 @t56 @t57)) % 1.23/1.42 (define @t1064 () (@list @t228 @t474)) % 1.23/1.42 (define @t1065 () (= @t1058 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t467 @t179))) % 1.23/1.42 (define @t1066 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t992 @t238)) % 1.23/1.42 (define @t1067 () (tptp.c_Divides_Odiv__class_Omod @t25 @t57 @t113)) % 1.23/1.42 (define @t1068 () (tptp.c_Divides_Odiv__class_Omod @t25 @t58 @t113)) % 1.23/1.42 (define @t1069 () (tptp.class_Divides_Oring__div @t25)) % 1.23/1.42 (define @t1070 () (tptp.c_Divides_Odiv__class_Omod @t25 @t56 @t113)) % 1.23/1.42 (define @t1071 () (= @t1067 (tptp.c_Divides_Odiv__class_Omod @t25 @t62 @t113))) % 1.23/1.42 (define @t1072 () (= @t1070 (tptp.c_Divides_Odiv__class_Omod @t25 @t73 @t113))) % 1.23/1.42 (define @t1073 () (@list @t62 @t57 @t73 @t113 @t56 @t25)) % 1.23/1.42 (define @t1074 () (tptp.c_Divides_Odiv__class_Omod @t25 @t164 @t113)) % 1.23/1.42 (define @t1075 () (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 @t1070 @t57) @t113)) % 1.23/1.42 (define @t1076 () (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t1067) @t113)) % 1.23/1.42 (define @t1077 () (=> @t532 @t1065)) % 1.23/1.42 (define @t1078 () (=> @t523 (= @t1058 @t238))) % 1.23/1.42 (define @t1079 () (tptp.c_Divides_Odiv__class_Omod @t25 @t65 @t113)) % 1.23/1.42 (define @t1080 () (@var "T_1" $$unsorted)) % 1.23/1.42 (define @t1081 () (tptp.tc_Polynomial_Opoly @t1080)) % 1.23/1.42 (define @t1082 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1080)) % 1.23/1.42 (define @t1083 () (@list @t1080)) % 1.23/1.42 (define @t1084 () (@var "T_2" $$unsorted)) % 1.23/1.42 (define @t1085 () (tptp.tc_fun @t1084 @t1080)) % 1.23/1.42 (define @t1086 () (@list @t1084 @t1080)) % 1.23/1.42 (define @t1087 () (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.23/1.42 (define @t1088 () (tptp.class_Rings_Oidom @t1080)) % 1.23/1.42 (define @t1089 () (tptp.class_Rings_Olinordered__idom @t1080)) % 1.23/1.42 (define @t1090 () (tptp.class_Rings_Ocomm__semiring__0 @t1080)) % 1.23/1.42 (define @t1091 () (tptp.class_Rings_Ocomm__semiring__1 @t1080)) % 1.23/1.42 (define @t1092 () (tptp.class_Groups_Ocomm__monoid__add @t1080)) % 1.23/1.42 (define @t1093 () (tptp.class_Fields_Ofield @t1080)) % 1.23/1.42 (define @t1094 () (tptp.class_Groups_Oab__group__add @t1080)) % 1.23/1.42 (define @t1095 () (tptp.class_Rings_Ocomm__ring__1 @t1080)) % 1.23/1.42 (define @t1096 () (tptp.class_Rings_Ocomm__ring @t1080)) % 1.23/1.42 (define @t1097 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 tptp.v_e)) % 1.23/1.42 (define @t1098 () (not @t701)) % 1.23/1.42 (define @t1099 () (not @t702)) % 1.23/1.42 (define @t1100 () (or @t1099 @t717 @t1098 @t722)) % 1.23/1.42 (define @t1101 () (or @t717 @t1098 @t722)) % 1.23/1.42 (define @t1102 () (not @t37)) % 1.23/1.42 (define @t1103 () (not @t12)) % 1.23/1.42 (define @t1104 () (not @t1087)) % 1.23/1.42 (define @t1105 () (or @t1104 @t1103 @t1102 @t1097)) % 1.23/1.42 (define @t1106 () (not @t1105)) % 1.23/1.42 (define @t1107 () (forall @t373 @t1100)) % 1.23/1.42 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.23/1.42 (assume @p2 (not (= tptp.v_w____ tptp.v_z))) % 1.23/1.42 (assume @p3 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_e)) % 1.23/1.42 (assume @p4 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 tptp.v_da____)) % 1.23/1.42 (assume @p5 @t12) % 1.23/1.42 (assume @p6 (exists @t19 (and @t18 (forall (@list @t14) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t17) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t17 @t16)) (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 @t13 @t15) (tptp.hAPP @t13 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_z tptp.v_z)))) tptp.v_e)))))) % 1.23/1.42 (assume @p7 (forall @t35 (=> @t34 (=> @t33 (=> @t31 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t29 (tptp.hAPP @t22 @t20))))))) % 1.23/1.42 (assume @p8 @t37) % 1.23/1.42 (assume @p9 (forall @t40 (=> @t39 (= @t29 @t38)))) % 1.23/1.42 (assume @p10 (forall (@list @t41) (= (tptp.hAPP @t43 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t41 tptp.v_z)) (tptp.hAPP @t42 @t41)))) % 1.23/1.42 (assume @p11 (forall @t51 (=> (tptp.class_Rings_Ocomm__ring @t25) (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t50) @t24) (tptp.c_Groups_Ominus__class_Ominus @t25 @t48 @t45))))) % 1.23/1.42 (assume @p12 (forall @t51 (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t54) @t24) (tptp.hAPP (tptp.hAPP @t26 @t48) @t45))))) % 1.23/1.42 (assume @p13 (forall @t61 (=> @t60 (= @t59 (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t57 @t56)))))) % 1.23/1.42 (assume @p14 (forall @t66 (=> @t34 (= (tptp.hAPP @t63 (tptp.c_Groups_Ominus__class_Ominus @t25 @t57 @t62)) (tptp.c_Groups_Ominus__class_Ominus @t25 @t65 @t64))))) % 1.23/1.42 (assume @p15 (forall @t72 (=> @t34 (= (tptp.hAPP @t68 @t71) (tptp.c_Groups_Ominus__class_Ominus @t25 @t70 @t69))))) % 1.23/1.42 (assume @p16 (forall @t76 (=> @t34 (= (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Groups_Ominus__class_Ominus @t25 @t56 @t73)) @t57) (tptp.c_Groups_Ominus__class_Ominus @t25 @t65 @t75))))) % 1.23/1.42 (assume @p17 (forall @t82 (=> @t34 (= (tptp.hAPP @t81 @t77) (tptp.c_Groups_Ominus__class_Ominus @t25 @t80 @t79))))) % 1.23/1.42 (assume @p18 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_m____)) % 1.23/1.42 (assume @p19 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_da____)) % 1.23/1.42 (assume @p20 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_d____)) % 1.23/1.42 (assume @p21 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 tptp.v_da____)) % 1.23/1.42 (assume @p22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t9 tptp.v_da____)) % 1.23/1.42 (assume @p23 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_da____ @t83)) % 1.23/1.42 (assume @p24 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_da____ @t84)) % 1.23/1.42 (assume @p25 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_q____) @t85)) % 1.23/1.42 (assume @p26 (forall @t86 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t32)))) % 1.23/1.42 (assume @p27 (forall @t88 (=> @t60 (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t87) @t7)))) % 1.23/1.42 (assume @p28 (forall @t86 (=> @t55 (= (tptp.hAPP @t90 @t24) @t87)))) % 1.23/1.42 (assume @p29 (forall @t94 (=> @t60 (= (= @t93 @t7) @t92)))) % 1.23/1.42 (assume @p30 (forall @t94 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t93 @t7) @t92)))) % 1.23/1.42 (assume @p31 (forall @t86 (=> @t34 (= (tptp.hAPP @t27 @t87) @t87)))) % 1.23/1.42 (assume @p32 (forall @t96 (=> @t34 @t95))) % 1.23/1.42 (assume @p33 (forall @t98 (=> @t34 (= (tptp.hAPP @t97 @t23) @t87)))) % 1.23/1.42 (assume @p34 (forall (@list @t57 @t25) (=> @t34 (= (tptp.hAPP @t97 @t57) @t87)))) % 1.23/1.42 (assume @p35 (forall @t94 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t93) @t99)))) % 1.23/1.42 (assume @p36 (forall @t61 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t102 @t59)))) % 1.23/1.42 (assume @p37 (forall @t86 (=> @t60 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t7))))) % 1.23/1.42 (assume @p38 (forall @t40 (=> @t34 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t29 @t38)))) % 1.23/1.42 (assume @p39 (forall (@list @t103 @t104 @t25) (=> @t107 (= (= @t105 (tptp.c_Polynomial_Opoly @t25 @t103)) (= @t104 @t103))))) % 1.23/1.42 (assume @p40 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t108 tptp.v_e)) % 1.23/1.42 (assume @p41 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t108)) % 1.23/1.42 (assume @p42 (forall @t111 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t110 @t83) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t13 @t109)) tptp.v_m____)))) % 1.23/1.42 (assume @p43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t9 @t83)) % 1.23/1.42 (assume @p44 (forall @t112 (= (tptp.hAPP @t43 @t24) (tptp.hAPP @t42 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_z @t24))))) % 1.23/1.42 (assume @p45 (forall (@list @t23 @t24 @t113 @t25) (=> @t60 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t113 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 (tptp.hAPP (tptp.hAPP @t10 @t113) @t30)) (= @t24 @t87)))))) % 1.23/1.42 (assume @p46 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t84)) % 1.23/1.42 (assume @p47 (forall @t119 (=> @t118 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t117 @t91) (tptp.hAPP @t117 @t114)) @t115)))) % 1.23/1.42 (assume @p48 (forall @t119 (=> @t118 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t123 @t121) @t115)))) % 1.23/1.42 (assume @p49 (forall @t132 (=> @t131 (=> @t130 @t126)))) % 1.23/1.42 (assume @p50 (forall @t137 (=> @t131 (=> @t136 @t126)))) % 1.23/1.42 (assume @p51 (forall @t132 (=> @t131 @t142))) % 1.23/1.42 (assume @p52 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_d____ @t83)) % 1.23/1.42 (assume @p53 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t83)) % 1.23/1.42 (assume @p54 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_d____ @t84)) % 1.23/1.42 (assume @p55 (forall @t88 (=> @t144 (= (tptp.c_Polynomial_Odegree @t25 @t89) @t143)))) % 1.23/1.42 (assume @p56 (forall @t96 (=> @t150 (and (=> @t147 (= @t146 @t87)) @t149)))) % 1.23/1.42 (assume @p57 (forall @t82 (=> @t154 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t153 @t77) (tptp.c_Groups_Oplus__class_Oplus @t25 @t152 @t151))))) % 1.23/1.42 (assume @p58 (forall @t96 (=> @t155 @t149))) % 1.23/1.42 (assume @p59 (forall @t161 (=> @t155 (=> (not @t160) (= (= @t159 @t145) @t158))))) % 1.23/1.42 (assume @p60 (forall @t165 (=> @t155 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t164 @t113) (tptp.c_Groups_Oplus__class_Oplus @t25 @t163 @t162))))) % 1.23/1.42 (assume @p61 (forall @t96 (=> @t155 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t56 @t145) @t56)))) % 1.23/1.42 (assume @p62 (forall @t96 (=> @t167 (tptp.c_Orderings_Oord__class_Oless @t25 @t56 @t166)))) % 1.23/1.42 (assume @p63 (forall @t61 (=> (and @t170 @t154) @t169))) % 1.23/1.42 (assume @p64 (forall @t96 (=> @t150 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t56 @t87) @t87)))) % 1.23/1.42 (assume @p65 (forall @t96 (=> @t155 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t87 @t56) @t87)))) % 1.23/1.42 (assume @p66 (forall @t88 (=> @t171 (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t145) @t83)))) % 1.23/1.42 (assume @p67 (forall @t165 (=> @t155 (= (tptp.hAPP @t63 @t162) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t65 @t113))))) % 1.23/1.42 (assume @p68 (forall @t165 (=> @t155 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t58 @t113) (tptp.c_Groups_Ominus__class_Ominus @t25 @t163 @t162))))) % 1.23/1.42 (assume @p69 (forall @t165 (=> (tptp.class_Rings_Ocomm__semiring @t25) @t173))) % 1.23/1.42 (assume @p70 (forall (@list @t113 @t57 @t174 @t56 @t25) (=> (tptp.class_Rings_Osemiring @t25) (= (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t63 @t174) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t133 @t174) @t113)) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t172 @t174) @t113))))) % 1.23/1.42 (assume @p71 (forall @t51 (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t175) @t24) (tptp.c_Groups_Oplus__class_Oplus @t25 @t48 @t45))))) % 1.23/1.42 (assume @p72 (forall @t88 (=> @t176 (not (= @t87 @t145))))) % 1.23/1.42 (assume @p73 (forall @t88 (=> @t176 (not (= @t145 @t87))))) % 1.23/1.42 (assume @p74 (forall @t86 (=> @t178 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t177) @t24) @t145)))) % 1.23/1.42 (assume @p75 (forall @t186 (=> @t185 (=> @t184 (=> @t182 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t180 @t179)))))) % 1.23/1.42 (assume @p76 (forall @t186 (=> @t185 (=> @t188 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t180 @t179)))))) % 1.23/1.42 (assume @p77 (not (= @t7 @t83))) % 1.23/1.42 (assume @p78 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t10 @t83) @t109) @t109))) % 1.23/1.42 (assume @p79 (forall @t88 (=> @t167 (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t189)))) % 1.23/1.42 (assume @p80 (forall @t86 (=> (tptp.class_Rings_Oring__1 @t25) (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t190 @t145) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t145)) (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t145)))))) % 1.23/1.42 (assume @p81 (forall @t193 (=> @t154 (=> @t192 @t169)))) % 1.23/1.42 (assume @p82 (forall @t40 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t194 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 @t30))))) % 1.23/1.42 (assume @p83 (forall @t35 (=> @t60 (=> @t33 (=> @t31 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t194 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t20))))))) % 1.23/1.42 (assume @p84 (forall @t201 (=> (tptp.class_Rings_Olinordered__semiring__1 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t56) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t23 @t56) (=> @t200 (=> @t199 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t197 @t56))))))))) % 1.23/1.42 (assume @p85 (forall @t98 (=> @t154 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t87 @t23) @t87)))) % 1.23/1.42 (assume @p86 (forall @t82 (=> @t154 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t71 @t77) (tptp.c_Groups_Ominus__class_Ominus @t25 @t152 @t151))))) % 1.23/1.42 (assume @p87 (forall @t66 (=> @t34 (= (tptp.hAPP @t63 (tptp.c_Groups_Oplus__class_Oplus @t25 @t57 @t62)) (tptp.c_Groups_Oplus__class_Oplus @t25 @t65 @t64))))) % 1.23/1.42 (assume @p88 (forall @t72 (=> @t34 (= (tptp.hAPP @t68 @t153) (tptp.c_Groups_Oplus__class_Oplus @t25 @t70 @t69))))) % 1.23/1.42 (assume @p89 (forall @t76 (=> @t34 (= (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t73)) @t57) (tptp.c_Groups_Oplus__class_Oplus @t25 @t65 @t75))))) % 1.23/1.42 (assume @p90 (forall @t82 (=> @t34 (= (tptp.hAPP (tptp.hAPP @t26 @t153) @t77) (tptp.c_Groups_Oplus__class_Oplus @t25 @t80 @t79))))) % 1.23/1.42 (assume @p91 (forall @t132 (=> @t155 (=> @t203 (=> (= @t135 @t57) (= @t56 @t162)))))) % 1.23/1.42 (assume @p92 (forall @t204 (=> @t155 (=> @t203 (=> (= @t57 @t135) (= @t162 @t56)))))) % 1.23/1.42 (assume @p93 (forall @t213 (=> @t155 (=> @t212 (= @t210 @t208))))) % 1.23/1.42 (assume @p94 (forall @t216 (=> @t155 (=> @t212 (= @t215 @t214))))) % 1.23/1.42 (assume @p95 (forall @t165 (=> @t167 (=> @t221 @t220)))) % 1.23/1.42 (assume @p96 (forall @t88 (=> @t167 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t145)))) % 1.23/1.42 (assume @p97 (forall @t88 (=> @t167 (not (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t145 @t87))))) % 1.23/1.42 (assume @p98 (forall @t227 (=> @t226 (= @t225 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t27 @t224) @t223))))) % 1.23/1.42 (assume @p99 (forall @t235 (=> @t226 (= @t234 (= @t205 @t230))))) % 1.23/1.42 (assume @p100 (forall @t235 (=> @t226 (= @t234 (= @t237 @t228))))) % 1.23/1.42 (assume @p101 (forall @t88 (=> @t167 (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t145)))) % 1.23/1.42 (assume @p102 (forall @t88 (=> @t167 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t87))))) % 1.23/1.42 (assume @p103 (forall (@list @t179 @t238 @t25) (=> @t167 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t238) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t179) (tptp.c_Orderings_Oord__class_Oless @t25 @t145 (tptp.hAPP @t239 @t179))))))) % 1.23/1.42 (assume @p104 (forall @t241 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t91 @t114)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t91 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t114)) (or @t240 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t114 @t7)))))) % 1.23/1.42 (assume @p105 (forall @t243 (=> @t107 (= (= @t105 @t90) @t242)))) % 1.23/1.42 (assume @p106 (forall @t248 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t164 @t247)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 @t246) (tptp.c_RealVector_Onorm__class_Onorm @t25 @t245)))))) % 1.23/1.42 (assume @p107 (forall @t201 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t25) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t56) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t23 @t56) (=> @t200 (=> @t199 (=> @t198 (tptp.c_Orderings_Oord__class_Oless @t25 @t197 @t56))))))))) % 1.23/1.42 (assume @p108 (forall @t249 (=> @t55 (= (tptp.hAPP @t53 @t89) @t89)))) % 1.23/1.42 (assume @p109 (forall @t250 (=> @t55 (= (tptp.hAPP (tptp.hAPP @t52 @t89) @t44) @t89)))) % 1.23/1.42 (assume @p110 (forall @t249 (=> @t185 (= (tptp.c_Groups_Ominus__class_Ominus @t49 @t46 @t89) @t46)))) % 1.23/1.42 (assume @p111 (forall @t235 (=> @t252 (= @t251 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t205 @t230))))) % 1.23/1.42 (assume @p112 (forall @t235 (=> @t252 (= @t251 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t237 @t228))))) % 1.23/1.42 (assume @p113 (forall @t235 (=> @t252 (= @t253 (tptp.c_Orderings_Oord__class_Oless @t25 @t205 @t230))))) % 1.23/1.42 (assume @p114 (forall @t235 (=> @t252 (= @t253 (tptp.c_Orderings_Oord__class_Oless @t25 @t237 @t228))))) % 1.23/1.42 (assume @p115 (forall @t40 (=> @t257 (=> @t256 (=> @t255 (=> @t254 (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.hAPP @t78 @t24) @t24))))))) % 1.23/1.42 (assume @p116 (forall @t40 (=> @t257 (=> @t256 (=> @t255 (=> @t254 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t28 @t24))))))) % 1.23/1.42 (assume @p117 (forall @t227 (=> @t34 (= @t225 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t222 @t224) @t223) (tptp.hAPP @t63 @t224)))))) % 1.23/1.42 (assume @p118 (forall @t61 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t102 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t164))))) % 1.23/1.42 (assume @p119 (forall @t40 (=> @t257 @t263))) % 1.23/1.42 (assume @p120 (forall @t268 (=> @t267 (=> @t266 @t265)))) % 1.23/1.42 (assume @p121 (forall @t272 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t270 @t271) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t271 @t269) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t270 @t269))))) % 1.23/1.42 (assume @p122 (forall @t268 (or @t267 @t266))) % 1.23/1.42 (assume @p123 (forall @t273 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t264 @t264))) % 1.23/1.42 (assume @p124 (forall @t268 (= (tptp.hAPP @t274 @t264) (tptp.hAPP (tptp.hAPP @t10 @t264) @t109)))) % 1.23/1.42 (assume @p125 (forall @t280 (= (tptp.hAPP (tptp.hAPP @t10 (tptp.hAPP @t279 @t276)) @t275) (tptp.hAPP @t279 (tptp.hAPP @t277 @t275))))) % 1.23/1.42 (assume @p126 (forall @t96 (=> @t282 @t281))) % 1.23/1.42 (assume @p127 (forall @t96 (=> @t282 @t95))) % 1.23/1.42 (assume @p128 (forall @t285 (=> (tptp.class_Rings_Oring__no__zero__divisors @t25) (= (= @t284 @t87) (or @t283 @t160))))) % 1.23/1.42 (assume @p129 (forall @t61 (=> @t287 (=> @t148 (=> @t192 (not @t286)))))) % 1.23/1.42 (assume @p130 (forall @t61 (=> @t287 (=> @t286 (or @t147 @t191))))) % 1.23/1.42 (assume @p131 (forall @t241 (= @t115 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t91 @t114) @t7)))) % 1.23/1.42 (assume @p132 (forall @t241 (= @t290 (and @t115 @t289)))) % 1.23/1.42 (assume @p133 (forall @t241 (= @t115 (or @t290 @t288)))) % 1.23/1.42 (assume @p134 (forall @t292 (=> @t291 (= (= (tptp.hAPP (tptp.hAPP @t10 @t157) @t205) (tptp.hAPP (tptp.hAPP @t10 @t156) @t205)) @t158)))) % 1.23/1.42 (assume @p135 (forall @t292 (=> @t291 (= (= (tptp.hAPP @t293 @t157) (tptp.hAPP @t293 @t156)) @t158)))) % 1.23/1.42 (assume @p136 (forall @t61 (=> @t299 (=> (or (and @t298 @t297) (and @t296 @t295)) @t294)))) % 1.23/1.42 (assume @p137 (forall @t61 (=> @t252 (=> (or (and @t298 @t295) (and @t296 @t297)) @t300)))) % 1.23/1.42 (assume @p138 (forall @t248 (=> @t304 (=> @t124 (=> @t303 (=> @t295 @t302)))))) % 1.23/1.42 (assume @p139 (forall @t248 (=> @t304 (=> @t124 (=> @t303 (=> @t298 @t302)))))) % 1.23/1.42 (assume @p140 (forall @t307 (=> @t252 (=> @t306 (=> @t305 @t130))))) % 1.23/1.42 (assume @p141 (forall @t307 (=> @t252 (=> @t306 (=> @t305 @t136))))) % 1.23/1.42 (assume @p142 (forall @t165 (=> (tptp.class_Rings_Oordered__comm__semiring @t25) @t308))) % 1.23/1.42 (assume @p143 (forall @t165 (=> @t304 @t308))) % 1.23/1.42 (assume @p144 (forall @t165 (=> @t304 (=> @t124 (=> @t139 @t136))))) % 1.23/1.42 (assume @p145 (forall @t61 (=> @t252 (=> @t296 (=> @t297 @t300))))) % 1.23/1.42 (assume @p146 (forall @t61 (=> @t299 (=> @t296 (=> @t295 @t294))))) % 1.23/1.42 (assume @p147 (forall @t61 (=> @t299 (=> @t298 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t309 @t87)))))) % 1.23/1.42 (assume @p148 (forall @t61 (=> @t299 (=> @t298 (=> @t297 @t294))))) % 1.23/1.42 (assume @p149 (forall @t61 (=> @t299 (=> @t298 (=> @t295 @t300))))) % 1.23/1.42 (assume @p150 (forall @t285 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t284 @t87) @t314)))) % 1.23/1.42 (assume @p151 (forall @t285 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t284) @t316)))) % 1.23/1.42 (assume @p152 (forall @t96 (=> @t318 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t317)))) % 1.23/1.42 (assume @p153 (forall @t96 (=> @t318 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t317 @t87))))) % 1.23/1.42 (assume @p154 (forall @t325 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t207 @t324) @t323)))) % 1.23/1.42 (assume @p155 (forall @t216 (=> @t315 (= @t329 @t323)))) % 1.23/1.42 (assume @p156 (forall @t216 (=> @t315 (=> @t322 (= @t329 @t321))))) % 1.23/1.42 (assume @p157 (forall @t61 (=> @t131 (=> @t221 (=> @t331 @t330))))) % 1.23/1.42 (assume @p158 (forall @t61 (=> @t131 (=> @t221 (=> @t333 @t332))))) % 1.23/1.42 (assume @p159 (forall @t61 (=> @t131 (=> @t221 (=> @t333 (tptp.c_Orderings_Oord__class_Oless @t25 @t309 @t87)))))) % 1.23/1.42 (assume @p160 (forall @t61 (=> @t131 (=> @t330 @t334)))) % 1.23/1.42 (assume @p161 (forall @t193 (=> @t131 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t309) @t334)))) % 1.23/1.42 (assume @p162 (forall @t216 (=> @t315 (=> @t320 (= @t329 @t319))))) % 1.23/1.42 (assume @p163 (forall @t61 (=> @t131 (=> @t335 (=> @t331 @t332))))) % 1.23/1.42 (assume @p164 (forall @t61 (=> @t315 (=> @t335 (=> @t333 @t330))))) % 1.23/1.42 (assume @p165 (forall @t165 (=> @t131 (=> @t138 (=> @t125 @t336))))) % 1.23/1.42 (assume @p166 (forall @t165 (=> @t131 @t337))) % 1.23/1.42 (assume @p167 (forall @t165 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t25) @t337))) % 1.23/1.42 (assume @p168 (forall @t307 (=> @t315 (=> @t339 (=> @t338 @t336))))) % 1.23/1.42 (assume @p169 (forall @t307 (=> @t315 (=> @t339 (=> @t338 @t141))))) % 1.23/1.42 (assume @p170 (forall @t119 (=> @t118 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t123 @t121) @t290)))) % 1.23/1.42 (assume @p171 (forall @t343 (=> @t342 (=> @t341 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t340))))) % 1.23/1.42 (assume @p172 (forall (@list @t23 @t24 @t109) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t109) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t274 @t24) (tptp.hAPP @t274 @t23)))))) % 1.23/1.42 (assume @p173 (forall @t216 (=> @t315 (=> @t322 (= @t345 @t344))))) % 1.23/1.42 (assume @p174 (forall @t216 (=> @t315 (=> @t320 (= @t345 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t157)))))) % 1.23/1.42 (assume @p175 (forall @t248 (=> @t131 (=> @t138 (=> @t348 (=> @t331 @t347)))))) % 1.23/1.42 (assume @p176 (forall @t248 (=> @t131 (=> @t138 (=> @t348 (=> @t298 @t347)))))) % 1.23/1.42 (assume @p177 (forall @t248 (=> @t131 (=> @t138 (=> @t303 (=> @t298 (=> @t125 @t346))))))) % 1.23/1.42 (assume @p178 (forall @t248 (=> @t131 (=> @t124 (=> @t348 (=> @t221 @t347)))))) % 1.23/1.42 (assume @p179 (forall @t137 (=> @t350 @t349))) % 1.23/1.42 (assume @p180 (forall @t137 (=> @t131 @t349))) % 1.23/1.42 (assume @p181 (forall @t132 (=> @t350 @t142))) % 1.23/1.42 (assume @p182 (exists @t357 (and @t356 @t355))) % 1.23/1.42 (assume @p183 (exists (@list @t358) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t358) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t358 @t83) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t358 @t84)))) % 1.23/1.42 (assume @p184 (not (forall @t19 (=> @t18 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t83) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t84))))))) % 1.23/1.42 (assume @p185 (forall @t365 (=> @t364 (= @t363 (and (=> @t322 @t362) (=> @t361 (and (=> @t320 @t360) (=> @t359 @t311)))))))) % 1.23/1.42 (assume @p186 (forall @t367 (=> @t364 (= @t366 (and (=> @t322 @t360) (=> @t361 (and (=> @t320 @t362) (=> @t359 @t313)))))))) % 1.23/1.42 (assume @p187 (forall @t216 (=> @t368 (=> @t322 (= @t363 @t362))))) % 1.23/1.42 (assume @p188 (forall @t213 (=> @t368 (=> @t322 (= @t366 @t360))))) % 1.23/1.42 (assume @p189 (forall @t373 (=> @t368 (=> @t372 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t371) (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t369 @t109)))))) % 1.23/1.42 (assume @p190 (forall @t374 (=> @t368 (=> @t372 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t371 @t24) (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t109 @t369)))))) % 1.23/1.42 (assume @p191 (forall @t216 (=> @t368 (=> @t320 (= @t363 @t360))))) % 1.23/1.42 (assume @p192 (forall @t213 (=> @t368 (=> @t320 (= @t366 @t362))))) % 1.23/1.42 (assume @p193 (forall @t379 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t376 @t377) (exists @t378 (= @t377 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t376 @t375)))))) % 1.23/1.42 (assume @p194 (forall @t381 (=> @t380 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t109 @t24) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t109 @t23))))) % 1.23/1.42 (assume @p195 (forall @t382 (= (tptp.hAPP (tptp.hAPP @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t278 @t276)) @t264) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t279 @t264) (tptp.hAPP @t277 @t264))))) % 1.23/1.42 (assume @p196 (forall @t249 (=> @t383 (= (tptp.c_Groups_Oplus__class_Oplus @t49 @t46 @t89) @t46)))) % 1.23/1.42 (assume @p197 (forall @t250 (=> @t383 (= (tptp.c_Groups_Oplus__class_Oplus @t49 @t89 @t44) @t44)))) % 1.23/1.42 (assume @p198 (forall (@list @t46 @t44 @t25) (=> @t383 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t181 @t183) (= @t384 @t183))))) % 1.23/1.42 (assume @p199 (forall @t385 (=> @t383 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t181) (= @t384 @t181))))) % 1.23/1.42 (assume @p200 (forall @t186 (=> @t383 (=> @t188 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t384 @t179)))))) % 1.23/1.42 (assume @p201 (forall @t186 (=> @t383 (=> @t184 (=> @t182 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t384 @t179)))))) % 1.23/1.42 (assume @p202 (forall @t88 (=> @t178 (= (tptp.c_Polynomial_Odegree @t25 @t177) @t143)))) % 1.23/1.42 (assume @p203 (forall (@list @t21 @t44 @t46 @t25) (=> @t55 (= (tptp.hAPP (tptp.hAPP @t52 @t175) @t21) (tptp.c_Groups_Oplus__class_Oplus @t49 (tptp.hAPP @t53 @t21) (tptp.hAPP (tptp.hAPP @t52 @t44) @t21)))))) % 1.23/1.42 (assume @p204 (forall @t241 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t387 (tptp.hAPP @t120 @t114)) @t7) (and @t386 (= @t114 @t7))))) % 1.23/1.42 (assume @p205 (forall @t385 (=> @t55 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t389 @t388)))) % 1.23/1.42 (assume @p206 (forall @t61 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t59 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t101 @t100))))) % 1.23/1.42 (assume @p207 (forall @t390 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t264) (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 @t264 @t109)) @t110)))) % 1.23/1.42 (assume @p208 (forall @t385 (=> @t106 (=> @t392 (=> (not (= @t44 @t89)) (= @t389 @t388)))))) % 1.23/1.42 (assume @p209 (forall (@list @t264 @t109 @t23 @t24 @t25) (=> @t170 (= (tptp.hAPP (tptp.hAPP @t26 @t369) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t109 @t264)) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t393 (tptp.hAPP @t78 @t264)))))) % 1.23/1.42 (assume @p210 (forall @t285 (=> @t364 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t159) @t316)))) % 1.23/1.42 (assume @p211 (forall @t285 (=> @t364 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t159 @t87) @t314)))) % 1.23/1.42 (assume @p212 (forall @t165 (=> @t364 (=> @t124 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t163 @t162)))))) % 1.23/1.42 (assume @p213 (forall @t165 (=> @t364 (=> @t124 (=> @t305 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t162 @t163)))))) % 1.23/1.42 (assume @p214 (forall @t285 (=> @t364 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t159) (or (and @t397 @t396) (and @t395 @t394)))))) % 1.23/1.42 (assume @p215 (forall @t285 (=> @t364 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t159 @t87) (or (and @t397 @t394) (and @t395 @t396)))))) % 1.23/1.42 (assume @p216 (forall @t40 (=> @t368 (=> @t399 (=> @t372 @t398))))) % 1.23/1.42 (assume @p217 (forall @t40 (=> @t368 (=> @t399 (=> @t401 @t400))))) % 1.23/1.42 (assume @p218 (forall @t40 (=> @t368 (=> @t402 (=> @t372 @t400))))) % 1.23/1.42 (assume @p219 (forall @t40 (=> @t368 (=> @t402 (=> @t401 @t398))))) % 1.23/1.42 (assume @p220 (forall @t165 (=> @t368 (=> @t138 (=> @t125 @t403))))) % 1.23/1.42 (assume @p221 (forall @t307 (=> @t368 (=> @t339 (=> @t338 @t403))))) % 1.23/1.42 (assume @p222 (forall @t365 (=> @t170 (= @t215 (and (=> @t212 @t214) @t404))))) % 1.23/1.42 (assume @p223 (forall @t367 (=> @t170 (= @t210 (and (=> @t212 @t208) @t404))))) % 1.23/1.42 (assume @p224 (forall @t132 (=> @t170 (=> @t203 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t135 @t134) @t168))))) % 1.23/1.42 (assume @p225 (forall @t132 (=> @t170 (=> @t203 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t129 @t128) @t168))))) % 1.23/1.42 (assume @p226 (forall (@list @t405 @t91 @t116 @t114 @t25) (=> @t412 (=> @t411 (=> (not (= @t116 @t87)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t91 @t114) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t405 @t116)) (= @t409 @t407))))))) % 1.23/1.42 (assume @p227 (forall @t40 (=> @t368 (=> @t256 (=> @t372 @t413))))) % 1.23/1.42 (assume @p228 (forall @t40 (=> @t368 (=> @t256 (=> @t401 @t414))))) % 1.23/1.42 (assume @p229 (forall @t420 (=> @t368 (=> @t399 (=> @t419 (=> @t418 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t264 @t109) @t417))))))) % 1.23/1.42 (assume @p230 (forall @t420 (=> @t368 (=> @t256 (=> @t259 (=> @t418 (=> @t421 @t417))))))) % 1.23/1.42 (assume @p231 (forall @t420 (=> @t368 (=> @t256 (=> @t419 (=> @t418 (=> @t421 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t416 @t415)))))))) % 1.23/1.42 (assume @p232 (forall @t40 (=> @t368 (=> @t422 (=> @t372 @t414))))) % 1.23/1.42 (assume @p233 (forall @t40 (=> @t368 (=> @t422 (=> @t401 @t413))))) % 1.23/1.42 (assume @p234 (forall @t165 (=> @t368 (=> @t138 (=> @t338 @t425))))) % 1.23/1.42 (assume @p235 (forall @t307 (=> @t368 (=> @t339 (=> @t125 @t425))))) % 1.23/1.42 (assume @p236 (forall @t213 (=> @t368 (=> @t320 (= @t427 @t426))))) % 1.23/1.42 (assume @p237 (forall @t216 (=> @t368 (=> @t320 (= @t429 @t428))))) % 1.23/1.42 (assume @p238 (forall @t374 (=> @t368 (=> @t372 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t371 @t24) (tptp.c_Orderings_Oord__class_Oless @t25 @t109 @t369)))))) % 1.23/1.42 (assume @p239 (forall @t373 (=> @t368 (=> @t372 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t371) (tptp.c_Orderings_Oord__class_Oless @t25 @t369 @t109)))))) % 1.23/1.42 (assume @p240 (forall @t213 (=> @t368 (=> @t322 (= @t427 @t428))))) % 1.23/1.42 (assume @p241 (forall @t216 (=> @t368 (=> @t322 (= @t429 @t426))))) % 1.23/1.42 (assume @p242 (forall @t367 (=> @t364 (= @t427 (and (=> @t322 @t428) (=> @t361 (and (=> @t320 @t426) (=> @t359 @t397)))))))) % 1.23/1.42 (assume @p243 (forall @t365 (=> @t364 (= @t429 (and (=> @t322 @t426) (=> @t361 (and (=> @t320 @t428) (=> @t359 @t395)))))))) % 1.23/1.42 (assume @p244 (forall @t374 (=> @t170 (=> @t432 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t109 @t369) @t431))))) % 1.23/1.42 (assume @p245 (forall @t436 (=> @t412 (=> @t435 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t434) (tptp.c_Rings_Oinverse__class_Odivide @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 @t433 @t23) @t109)))))) % 1.23/1.42 (assume @p246 (forall @t373 (=> @t170 (=> @t432 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t369 @t109) @t431))))) % 1.23/1.42 (assume @p247 (forall @t436 (=> @t412 (=> @t435 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t416 @t23) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t430 @t109)))))) % 1.23/1.42 (assume @p248 (forall @t440 (=> @t412 (=> @t432 (=> @t435 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t369 @t439) (tptp.c_Rings_Oinverse__class_Odivide @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 @t393 @t438) @t437))))))) % 1.23/1.42 (assume @p249 (forall @t440 (=> @t412 (=> @t432 (=> @t435 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t369 @t439) (tptp.c_Rings_Oinverse__class_Odivide @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t393 @t438) @t437))))))) % 1.23/1.42 (assume @p250 (forall @t436 (=> @t412 (=> @t435 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t416 @t23) (tptp.c_Rings_Oinverse__class_Odivide @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t371) @t109)))))) % 1.23/1.42 (assume @p251 (forall @t436 (=> @t412 (=> @t435 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t434) (tptp.c_Rings_Oinverse__class_Odivide @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t433 @t23) @t109)))))) % 1.23/1.42 (assume @p252 (forall @t61 (=> @t368 (=> @t138 (tptp.c_Orderings_Oord__class_Oless @t25 @t56 @t441))))) % 1.23/1.42 (assume @p253 (forall @t61 (=> @t368 (=> @t138 (tptp.c_Orderings_Oord__class_Oless @t25 @t441 @t57))))) % 1.23/1.42 (assume @p254 (forall @t165 (=> @t364 (=> @t124 (=> @t305 @t442))))) % 1.23/1.42 (assume @p255 (forall @t307 (=> @t368 (=> @t306 (=> @t139 @t442))))) % 1.23/1.42 (assume @p256 (forall @t443 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t143 @t179))) % 1.23/1.42 (assume @p257 (forall @t443 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t143)))) % 1.23/1.42 (assume @p258 (forall @t444 (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 @t57 @t56)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t57)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t56)))) % 1.23/1.42 (assume @p259 (forall (@list @t445 @t244 @t113 @t57 @t56 @t25) (=> (tptp.class_RealVector_Oreal__field @t25) (= (tptp.c_Rings_Oinverse__class_Odivide @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t65 (tptp.hAPP @t127 @t244)) @t445) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t63 (tptp.c_Rings_Oinverse__class_Odivide @t25 @t245 @t445)) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Rings_Oinverse__class_Odivide @t25 @t246 @t445)) @t244)))))) % 1.23/1.42 (assume @p260 (forall @t447 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t446) (or @t99 @t411))))) % 1.23/1.42 (assume @p261 (forall @t40 (=> @t318 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t448 @t87))))) % 1.23/1.42 (assume @p262 (forall @t40 (=> @t318 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t448)))) % 1.23/1.42 (assume @p263 (forall @t447 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t446 @t87) @t449)))) % 1.23/1.42 (assume @p264 (forall @t455 (= (tptp.hAPP @t451 @t454) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t453 @t452)))) % 1.23/1.42 (assume @p265 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t454 @t179) @t238))) % 1.23/1.42 (assume @p266 (forall @t458 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t457 @t179) @t238))) % 1.23/1.42 (assume @p267 (forall @t272 (= @t461 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t270 @t459)))) % 1.23/1.42 (assume @p268 (forall @t466 (= (tptp.hAPP (tptp.hAPP @t450 @t454) @t269) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t465 @t463)))) % 1.23/1.42 (assume @p269 (forall @t455 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t469 @t468) @t467))) % 1.23/1.42 (assume @p270 (forall @t472 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t471 @t470) @t467))) % 1.23/1.42 (assume @p271 (forall @t476 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t474 @t376) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t473 @t376)) @t475))) % 1.23/1.42 (assume @p272 (forall @t479 (= (= @t478 @t477) @t475))) % 1.23/1.42 (assume @p273 (forall @t466 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t269) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t470)))) % 1.23/1.42 (assume @p274 (forall @t381 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t480) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t109))))) % 1.23/1.42 (assume @p275 (forall @t456 (= @t454 @t457))) % 1.23/1.42 (assume @p276 (forall @t456 (=> (= @t454 @t238) @t481))) % 1.23/1.42 (assume @p277 (forall @t456 (=> @t483 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t238) @t143) @t482)))) % 1.23/1.42 (assume @p278 (forall @t456 (=> (= @t238 @t486) (or (= @t179 @t485) @t484)))) % 1.23/1.42 (assume @p279 (forall @t476 (= (= @t492 @t490) @t488))) % 1.23/1.42 (assume @p280 (forall @t479 (= @t496 @t488))) % 1.23/1.42 (assume @p281 (forall @t500 (= (= @t499 @t143) (or @t498 @t497)))) % 1.23/1.42 (assume @p282 (forall @t500 (= (= @t501 @t143) (and @t498 @t497)))) % 1.23/1.42 (assume @p283 (forall @t458 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t457) @t143))) % 1.23/1.42 (assume @p284 (forall @t456 (and (=> @t484 (= @t486 @t143)) (=> @t503 (= @t486 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t179 (tptp.hAPP (tptp.hAPP @t450 @t502) @t179))))))) % 1.23/1.42 (assume @p285 (forall @t504 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t238) @t143))) % 1.23/1.42 (assume @p286 (forall @t504 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t143) @t238))) % 1.23/1.42 (assume @p287 (forall @t504 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t143) @t238))) % 1.23/1.42 (assume @p288 (forall @t504 (= (tptp.hAPP @t464 @t143) @t143))) % 1.23/1.42 (assume @p289 (forall @t443 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t143 @t179) @t179))) % 1.23/1.42 (assume @p290 (forall @t443 (= (tptp.hAPP (tptp.hAPP @t450 @t143) @t179) @t143))) % 1.23/1.42 (assume @p291 (forall @t443 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t143 @t179) @t143))) % 1.23/1.42 (assume @p292 (forall @t443 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t179)))) % 1.23/1.42 (assume @p293 (forall (@list @t271 @t270) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t505 @t270)))) % 1.23/1.42 (assume @p294 (forall (@list @t270 @t271) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t506 @t270)))) % 1.23/1.42 (assume @p295 (forall @t500 (= @t509 (or @t508 @t507)))) % 1.23/1.42 (assume @p296 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t478 @t477) @t508))) % 1.23/1.42 (assume @p297 (forall @t343 (=> @t262 (=> (not @t510) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t24))))) % 1.23/1.42 (assume @p298 (forall @t458 (=> @t512 @t511))) % 1.23/1.42 (assume @p299 (forall (@list @t513 @t20) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t513) (not (= @t20 @t513))))) % 1.23/1.42 (assume @p300 (forall @t516 (=> @t515 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 @t514)))) % 1.23/1.42 (assume @p301 (forall @t516 (=> @t515 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 @t517)))) % 1.23/1.42 (assume @p302 (forall @t272 (=> @t515 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t518 @t459)))) % 1.23/1.42 (assume @p303 (forall @t522 (=> @t515 (=> @t521 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t518 @t520))))) % 1.23/1.42 (assume @p304 (forall (@list @t179 @t238 @t519 @t269) (=> @t521 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t519) @t468) @t523)))) % 1.23/1.42 (assume @p305 (forall @t272 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t505 @t269) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 @t269)))) % 1.23/1.42 (assume @p306 (forall (@list @t524 @t473 @t474) (=> (=> @t508 @t526) (=> (=> @t475 @t526) (=> (=> @t507 @t526) @t526))))) % 1.23/1.42 (assume @p307 (forall @t529 (=> @t523 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t238 @t519) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 @t527))))) % 1.23/1.42 (assume @p308 (forall (@list @t179 @t269 @t271) (=> @t530 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t271 @t179) @t269)))) % 1.23/1.42 (assume @p309 (forall @t456 (=> @t532 @t531))) % 1.23/1.42 (assume @p310 (forall @t537 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t534 @t536) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t535 @t533)))) % 1.23/1.42 (assume @p311 (forall @t472 (=> @t540 (not (=> @t539 (not @t538)))))) % 1.23/1.42 (assume @p312 (forall @t472 (=> @t540 @t539))) % 1.23/1.42 (assume @p313 (forall @t472 (=> @t540 @t538))) % 1.23/1.42 (assume @p314 (forall @t479 (=> @t545 (=> @t544 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t543 @t542) @t541))))) % 1.23/1.42 (assume @p315 (forall @t455 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t238) (=> @t538 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t269) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t269)) @t467))))) % 1.23/1.42 (assume @p316 (forall @t479 (=> @t545 (=> @t544 (= (= @t543 @t542) @t475))))) % 1.23/1.42 (assume @p317 (forall @t522 (=> @t550 (=> @t549 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t548 (tptp.hAPP @t546 @t519)))))) % 1.23/1.42 (assume @p318 (forall @t522 (=> @t550 (=> @t549 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t518 @t520))))) % 1.23/1.42 (assume @p319 (forall @t456 (=> @t539 (=> @t551 @t482)))) % 1.23/1.42 (assume @p320 (forall @t272 (=> @t550 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t271 @t269) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t270 @t269))))) % 1.23/1.42 (assume @p321 (forall @t556 (=> @t555 (= @t554 @t553)))) % 1.23/1.42 (assume @p322 (forall @t556 (=> @t555 (= @t553 @t554)))) % 1.23/1.42 (assume @p323 (forall @t556 (=> @t555 (= @t558 @t557)))) % 1.23/1.42 (assume @p324 (forall @t537 (=> @t560 (= (= @t559 @t376) (= @t533 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t376 @t534)))))) % 1.23/1.42 (assume @p325 (forall @t458 (=> @t551 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t467 @t179) @t238)))) % 1.23/1.42 (assume @p326 (forall (@list @t534 @t533 @t376) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t376 @t533) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t534 @t536) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t535 @t533))))) % 1.23/1.42 (assume @p327 (forall @t556 (=> @t555 (= @t557 @t558)))) % 1.23/1.42 (assume @p328 (forall @t458 (=> @t551 @t531))) % 1.23/1.42 (assume @p329 (forall @t561 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t270 @t179) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t270)) @t270)))) % 1.23/1.42 (assume @p330 (forall @t529 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t519) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t519))))) % 1.23/1.42 (assume @p331 (forall @t529 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t527)))) % 1.23/1.42 (assume @p332 (forall @t272 (=> @t550 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t563 @t562)))) % 1.23/1.42 (assume @p333 (forall @t272 (=> @t550 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t548 @t564)))) % 1.23/1.42 (assume @p334 (forall @t272 (=> @t550 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t518 @t459)))) % 1.23/1.42 (assume @p335 (forall @t565 (=> @t538 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t457 @t269))))) % 1.23/1.42 (assume @p336 (forall @t516 (=> @t550 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t270 @t517)))) % 1.23/1.42 (assume @p337 (forall @t516 (=> @t550 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t270 @t514)))) % 1.23/1.42 (assume @p338 (forall @t456 (=> @t482 @t539))) % 1.23/1.42 (assume @p339 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t478 @t477) @t541))) % 1.23/1.42 (assume @p340 (forall (@list @t534 @t376 @t533) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t536 @t534) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t533 @t535)))) % 1.23/1.42 (assume @p341 (forall @t556 (=> @t555 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t270 @t552) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t518 @t271))))) % 1.23/1.42 (assume @p342 (forall @t456 (or @t539 @t551))) % 1.23/1.42 (assume @p343 (forall @t500 (= @t541 (exists @t568 (= @t473 @t567))))) % 1.23/1.42 (assume @p344 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t467 @t238))) % 1.23/1.42 (assume @p345 (forall @t504 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 (tptp.hAPP @t464 @t569)))) % 1.23/1.42 (assume @p346 (forall @t458 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t179 @t457))) % 1.23/1.42 (assume @p347 (forall @t458 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t179 @t454))) % 1.23/1.42 (assume @p348 (forall @t504 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 @t569))) % 1.23/1.42 (assume @p349 (forall @t443 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t179 @t179))) % 1.23/1.42 (assume @p350 (forall (@list @t244 @t57 @t113 @t56 @t25) (=> @t185 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t217 @t570) (tptp.c_Groups_Oplus__class_Oplus @t25 @t58 (tptp.c_Groups_Ominus__class_Ominus @t25 @t113 @t244)))))) % 1.23/1.42 (assume @p351 (forall @t443 (=> @t572 @t571))) % 1.23/1.42 (assume @p352 (forall @t272 (=> @t515 (=> @t573 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t563 @t562))))) % 1.23/1.42 (assume @p353 (forall @t272 (=> @t515 (=> @t573 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t548 @t564))))) % 1.23/1.42 (assume @p354 (forall @t456 (=> @t523 @t572))) % 1.23/1.42 (assume @p355 (forall @t458 (=> @t571 (=> @t574 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t467 @t238))))) % 1.23/1.42 (assume @p356 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t492 @t490) @t576))) % 1.23/1.42 (assume @p357 (forall @t479 (= @t577 @t576))) % 1.23/1.42 (assume @p358 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t499) (and @t579 @t578)))) % 1.23/1.42 (assume @p359 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t501) (or @t579 @t578)))) % 1.23/1.42 (assume @p360 (forall @t580 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t473 @t474)) @t508))) % 1.23/1.42 (assume @p361 (forall @t586 (= @t585 (and (=> @t584 @t583) (forall @t19 (=> @t582 @t581)))))) % 1.23/1.42 (assume @p362 (forall @t586 (= @t585 (not (or (and @t584 @t587) (exists @t19 (and @t582 (not @t581)))))))) % 1.23/1.42 (assume @p363 (forall @t589 (= @t588 @t578))) % 1.23/1.42 (assume @p364 (forall @t456 (=> @t539 @t483))) % 1.23/1.42 (assume @p365 (forall @t500 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t474 @t473) @t143) @t541))) % 1.23/1.42 (assume @p366 (forall @t589 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t143) @t497))) % 1.23/1.42 (assume @p367 (forall @t456 (=> (or @t523 @t482) @t539))) % 1.23/1.42 (assume @p368 (forall @t479 (=> @t545 (=> @t544 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t543 @t542) @t508))))) % 1.23/1.42 (assume @p369 (forall @t590 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t57) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t113 @t56) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t113) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t113)))))) % 1.23/1.42 (assume @p370 (forall @t456 (=> @t539 (=> @t511 @t523)))) % 1.23/1.42 (assume @p371 (forall @t456 (=> @t523 @t539))) % 1.23/1.42 (assume @p372 (forall @t500 (= @t541 @t591))) % 1.23/1.42 (assume @p373 (forall @t500 (= @t508 (and @t541 @t509)))) % 1.23/1.42 (assume @p374 (forall @t447 (=> @t315 (= (= @t446 @t87) @t449)))) % 1.23/1.42 (assume @p375 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t492 @t490) @t592))) % 1.23/1.42 (assume @p376 (forall @t479 (= @t593 @t592))) % 1.23/1.42 (assume @p377 (forall (@list @t156 @t157 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t594 (tptp.hAPP @t596 @t157)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t595 (tptp.hAPP @t596 @t156))))) % 1.23/1.42 (assume @p378 (forall @t61 (=> @t599 (=> @t296 @t598)))) % 1.23/1.42 (assume @p379 (forall @t61 (=> @t599 (=> @t335 (=> @t297 @t597))))) % 1.23/1.42 (assume @p380 (forall @t165 (=> @t599 (=> @t298 @t220)))) % 1.23/1.42 (assume @p381 (forall @t165 (=> @t599 (=> @t221 (=> @t600 @t218))))) % 1.23/1.42 (assume @p382 (forall @t61 (=> @t599 (=> @t298 @t602)))) % 1.23/1.42 (assume @p383 (forall @t61 (=> @t599 (=> @t221 (=> @t295 @t601))))) % 1.23/1.42 (assume @p384 (forall @t609 (=> @t608 (= @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t604 @t473))))) % 1.23/1.42 (assume @p385 (forall @t443 (= (tptp.hAPP (tptp.hAPP @t450 @t485) @t179) @t179))) % 1.23/1.42 (assume @p386 (forall @t500 (= (= @t485 @t499) @t610))) % 1.23/1.42 (assume @p387 (forall @t443 (= (tptp.hAPP @t462 @t485) @t179))) % 1.23/1.42 (assume @p388 (forall @t500 (= (= @t499 @t485) @t610))) % 1.23/1.42 (assume @p389 (forall @t456 (= @t486 @t611))) % 1.23/1.42 (assume @p390 (forall @t466 (= (tptp.hAPP (tptp.hAPP @t450 @t486) @t269) (tptp.hAPP @t464 @t463)))) % 1.23/1.42 (assume @p391 (forall @t466 (= (tptp.hAPP (tptp.hAPP @t450 @t467) @t269) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t465 @t463)))) % 1.23/1.42 (assume @p392 (forall @t272 (= @t461 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t270 @t269) @t271)))) % 1.23/1.42 (assume @p393 (forall @t455 (= (tptp.hAPP @t451 @t467) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t453 @t452)))) % 1.23/1.42 (assume @p394 (forall @t94 (=> @t144 (= (= @t87 @t91) @t92)))) % 1.23/1.42 (assume @p395 (forall @t165 (=> (tptp.class_Groups_Oab__semigroup__mult @t25) (= (tptp.hAPP (tptp.hAPP @t26 @t65) @t113) (tptp.hAPP @t63 @t134))))) % 1.23/1.42 (assume @p396 (forall @t165 (=> (tptp.class_Groups_Oab__semigroup__add @t25) @t614))) % 1.23/1.42 (assume @p397 (forall @t365 (=> @t617 (= (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t157 @t156) @t616) @t615)))) % 1.23/1.42 (assume @p398 (forall (@list @t205 @t157 @t156 @t25) (=> @t617 (= (= @t619 @t618) @t615)))) % 1.23/1.42 (assume @p399 (forall @t165 (=> @t617 @t621))) % 1.23/1.42 (assume @p400 (forall @t165 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t25) @t621))) % 1.23/1.42 (assume @p401 (forall @t307 (=> @t617 (=> (= @t623 @t622) @t620)))) % 1.23/1.42 (assume @p402 (forall @t626 (=> @t185 (=> @t625 (= @t158 @t624))))) % 1.23/1.42 (assume @p403 (forall @t94 (=> (tptp.class_Groups_Oone @t25) (= (= @t145 @t91) (= @t91 @t145))))) % 1.23/1.42 (assume @p404 (forall @t479 (= @t496 (or @t487 @t475)))) % 1.23/1.42 (assume @p405 (forall (@list @t269 @t271 @t196 @t270) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t628 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t627 @t269)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 @t505) @t196) @t269)))) % 1.23/1.42 (assume @p406 (forall @t96 (=> @t630 @t629))) % 1.23/1.42 (assume @p407 (forall @t96 (=> @t383 @t629))) % 1.23/1.42 (assume @p408 (forall @t633 (=> @t632 (= (= @t87 @t631) @t283)))) % 1.23/1.42 (assume @p409 (forall @t96 (=> @t630 @t634))) % 1.23/1.42 (assume @p410 (forall @t96 (=> @t383 @t634))) % 1.23/1.42 (assume @p411 (forall @t325 (=> @t636 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t616 @t635) @t344)))) % 1.23/1.42 (assume @p412 (forall @t216 (=> @t636 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t618 @t637) @t344)))) % 1.23/1.42 (assume @p413 (forall @t165 (=> @t639 (=> @t124 @t638)))) % 1.23/1.42 (assume @p414 (forall @t165 (=> @t639 (=> @t124 @t641)))) % 1.23/1.42 (assume @p415 (forall @t248 (=> @t639 (=> @t124 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t217 @t570)))))) % 1.23/1.42 (assume @p416 (forall @t137 (=> @t636 (=> @t638 @t124)))) % 1.23/1.42 (assume @p417 (forall @t132 (=> @t636 (=> @t641 @t124)))) % 1.23/1.42 (assume @p418 (forall @t132 (=> @t636 (=> @t642 @t138)))) % 1.23/1.42 (assume @p419 (forall @t137 (=> @t636 (=> @t643 @t138)))) % 1.23/1.42 (assume @p420 (forall @t248 (=> @t646 (=> @t138 @t645)))) % 1.23/1.42 (assume @p421 (forall @t165 (=> @t646 (=> @t138 @t642)))) % 1.23/1.42 (assume @p422 (forall @t165 (=> @t646 (=> @t138 @t643)))) % 1.23/1.42 (assume @p423 (forall @t216 (=> @t636 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t618 @t637) @t321)))) % 1.23/1.42 (assume @p424 (forall @t325 (=> @t636 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t616 @t635) @t321)))) % 1.23/1.42 (assume @p425 (forall @t285 (=> @t648 (= @t647 @t158)))) % 1.23/1.42 (assume @p426 (forall @t285 (=> @t185 (= @t158 @t647)))) % 1.23/1.42 (assume @p427 (forall @t96 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t56 @t56) @t87)))) % 1.23/1.42 (assume @p428 (forall @t96 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t56 @t87) @t56)))) % 1.23/1.42 (assume @p429 (forall @t626 (=> @t649 (=> @t625 (= @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t205 @t228)))))) % 1.23/1.42 (assume @p430 (forall @t626 (=> @t649 (=> @t625 (= @t321 (tptp.c_Orderings_Oord__class_Oless @t25 @t205 @t228)))))) % 1.23/1.42 (assume @p431 (forall @t96 (=> @t651 @t650))) % 1.23/1.42 (assume @p432 (forall @t96 (=> @t652 @t650))) % 1.23/1.42 (assume @p433 (forall @t96 (=> @t651 @t653))) % 1.23/1.42 (assume @p434 (forall @t96 (=> @t652 @t653))) % 1.23/1.42 (assume @p435 (forall @t61 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t164 @t57) @t56)))) % 1.23/1.42 (assume @p436 (forall @t61 (=> @t648 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t58 @t57) @t56)))) % 1.23/1.42 (assume @p437 (forall @t479 (=> @t575 (= @t496 @t475)))) % 1.23/1.42 (assume @p438 (forall @t479 (=> @t575 (= @t577 @t508)))) % 1.23/1.42 (assume @p439 (forall @t656 (=> @t560 (= @t655 (= @t474 @t654))))) % 1.23/1.42 (assume @p440 (forall (@list @t179 @t238 @t196 @t271 @t270) (=> @t550 (= @t657 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t271 @t270)) @t196) @t179)))))) % 1.23/1.42 (assume @p441 (forall @t656 (=> @t560 (= @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t654))))) % 1.23/1.42 (assume @p442 (forall @t609 (=> @t608 (= @t655 (= @t604 @t473))))) % 1.23/1.42 (assume @p443 (forall (@list @t179 @t238 @t196 @t270 @t271) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t271 @t270) (= @t657 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 @t460) @t196) @t238) @t179))))) % 1.23/1.42 (assume @p444 (forall @t609 (=> @t608 (= @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t604 @t473))))) % 1.23/1.42 (assume @p445 (forall @t633 (=> @t632 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t631) @t313)))) % 1.23/1.42 (assume @p446 (forall @t633 (=> @t632 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t631 @t87) @t311)))) % 1.23/1.42 (assume @p447 (forall @t61 (=> @t599 (=> @t298 (=> @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t164)))))) % 1.23/1.42 (assume @p448 (forall @t447 (=> @t599 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t91) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t114) (= (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t91 @t114) @t87) @t449)))))) % 1.23/1.42 (assume @p449 (forall @t165 (=> @t599 (=> @t298 (=> @t600 @t659))))) % 1.23/1.42 (assume @p450 (forall @t204 (=> @t599 (=> @t139 (=> @t306 @t659))))) % 1.23/1.42 (assume @p451 (forall @t61 (=> @t599 (=> @t296 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t164 @t87)))))) % 1.23/1.42 (assume @p452 (forall @t633 (=> @t632 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t631) @t397)))) % 1.23/1.42 (assume @p453 (forall @t633 (=> @t632 @t660))) % 1.23/1.42 (assume @p454 (forall @t61 (=> @t599 (=> @t221 @t602)))) % 1.23/1.42 (assume @p455 (forall @t61 (=> @t599 (=> @t335 @t598)))) % 1.23/1.42 (assume @p456 (forall @t248 (=> @t646 (=> @t138 (=> @t303 @t644))))) % 1.23/1.42 (assume @p457 (forall @t248 (=> @t646 (=> @t124 @t645)))) % 1.23/1.42 (assume @p458 (forall @t285 (=> @t649 (= @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t236 @t87))))) % 1.23/1.42 (assume @p459 (forall @t285 (=> @t649 (= @t321 (tptp.c_Orderings_Oord__class_Oless @t25 @t236 @t87))))) % 1.23/1.42 (assume @p460 (forall @t479 (=> @t575 (= @t593 @t541)))) % 1.23/1.42 (assume @p461 (forall @t656 (=> @t560 (= @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t654))))) % 1.23/1.42 (assume @p462 (forall @t661 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t387)) @t386))) % 1.23/1.42 (assume @p463 (forall (@list @t238 @t56 @t25) (=> @t178 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t663 @t238) @t662)))) % 1.23/1.42 (assume @p464 (forall (@list @t56 @t238 @t25) (=> @t178 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t238 @t663) @t662)))) % 1.23/1.42 (assume @p465 (forall (@list @t238 @t25) (=> @t178 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t238 @t238) (tptp.hAPP (tptp.hAPP @t26 @t189) @t238))))) % 1.23/1.42 (assume @p466 (forall (@list @t244 @t113 @t57 @t56 @t21 @t25) (=> @t666 (=> (not (= @t21 @t87)) (=> (and @t665 (not (= @t113 @t244))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 (tptp.hAPP @t664 @t113)) (tptp.c_Groups_Oplus__class_Oplus @t25 @t57 (tptp.hAPP @t664 @t244))))))))) % 1.23/1.42 (assume @p467 (forall @t61 (=> @t178 (= @t65 @t309)))) % 1.23/1.42 (assume @p468 (forall @t674 (=> @t178 (= @t673 (tptp.hAPP @t671 (tptp.hAPP @t669 @t667)))))) % 1.23/1.42 (assume @p469 (forall @t674 (=> @t178 (= @t673 (tptp.hAPP @t675 @t667))))) % 1.23/1.42 (assume @p470 (forall @t680 (=> @t178 (= @t679 (tptp.hAPP @t669 (tptp.hAPP @t677 @t670)))))) % 1.23/1.42 (assume @p471 (forall @t680 (=> @t178 (= @t679 (tptp.hAPP @t675 @t676))))) % 1.23/1.42 (assume @p472 (forall @t682 (=> @t178 (= @t681 (tptp.hAPP @t669 (tptp.hAPP @t677 @t672)))))) % 1.23/1.42 (assume @p473 (forall @t682 (=> @t178 (= @t681 (tptp.hAPP @t671 (tptp.hAPP @t678 @t667)))))) % 1.23/1.42 (assume @p474 (forall @t682 (=> @t178 (= @t681 (tptp.hAPP @t675 (tptp.hAPP @t677 @t667)))))) % 1.23/1.42 (assume @p475 (forall @t248 (=> @t178 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t164 @t247) (tptp.c_Groups_Oplus__class_Oplus @t25 @t217 @t570))))) % 1.23/1.42 (assume @p476 (forall @t165 (=> @t178 (= @t613 (tptp.c_Groups_Oplus__class_Oplus @t25 @t217 @t57))))) % 1.23/1.42 (assume @p477 (forall @t165 (=> @t178 @t614))) % 1.23/1.42 (assume @p478 (forall @t684 (=> @t178 (= @t683 (tptp.c_Groups_Oplus__class_Oplus @t25 @t217 @t244))))) % 1.23/1.42 (assume @p479 (forall @t684 (=> @t178 (= @t683 (tptp.c_Groups_Oplus__class_Oplus @t25 @t113 (tptp.c_Groups_Oplus__class_Oplus @t25 @t56 @t244)))))) % 1.23/1.42 (assume @p480 (forall (@list @t113 @t56 @t25) (=> @t178 (= @t217 @t622)))) % 1.23/1.42 (assume @p481 (forall @t96 (=> @t178 @t281))) % 1.23/1.42 (assume @p482 (forall @t96 (=> @t178 @t95))) % 1.23/1.42 (assume @p483 (forall @t161 (=> @t666 (= (= @t156 @t619) @t283)))) % 1.23/1.42 (assume @p484 (forall @t96 (=> @t178 @t634))) % 1.23/1.42 (assume @p485 (forall @t96 (=> @t178 @t629))) % 1.23/1.42 (assume @p486 (forall @t685 (=> @t178 (= (tptp.hAPP @t27 (tptp.c_Groups_Oplus__class_Oplus @t25 @t23 @t109)) (tptp.c_Groups_Oplus__class_Oplus @t25 @t28 @t393))))) % 1.23/1.42 (assume @p487 (forall @t626 (=> @t666 (= (and (not @t158) (not @t624)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t207 (tptp.hAPP @t231 @t228)) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t206 @t228) @t324))))))) % 1.23/1.42 (assume @p488 (forall @t165 (=> @t178 @t173))) % 1.23/1.42 (assume @p489 (forall (@list @t57 @t238 @t56 @t25) (=> @t178 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t663 (tptp.hAPP @t133 @t238)) (tptp.hAPP @t172 @t238))))) % 1.23/1.42 (assume @p490 (forall (@list @t116 @t91 @t114 @t405 @t25) (=> @t666 (= (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t407 @t409) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t406 @t116) (tptp.hAPP @t408 @t114))) (or (= @t405 @t91) (= @t114 @t116)))))) % 1.23/1.42 (assume @p491 (forall @t96 (=> @t178 @t653))) % 1.23/1.42 (assume @p492 (forall @t96 (=> @t178 @t650))) % 1.23/1.42 (assume @p493 (forall (@list @t56 @t21) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t22 @t56) (tptp.hAPP @t22 @t21)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t56 @t21)))) % 1.23/1.42 (assume @p494 (forall @t633 (=> @t257 @t660))) % 1.23/1.42 (assume @p495 (forall @t243 (=> @t144 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t25 @t104) @t143) @t242)))) % 1.23/1.42 (assume @p496 (forall (@list @t157 @t104 @t25) (=> @t106 (= (= (tptp.hAPP @t105 @t157) @t87) (or @t242 (not (= (tptp.c_Polynomial_Oorder @t25 @t157 @t104) @t143))))))) % 1.23/1.42 (assume @p497 (not (forall @t357 (=> @t356 (not @t355))))) % 1.23/1.42 (assume @p498 (forall @t633 (=> @t632 (= (= @t631 @t87) @t283)))) % 1.23/1.42 (assume @p499 (forall (@list @t56 @t46 @t25) (=> @t106 (=> @t392 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder @t25 @t56 @t46) @t183))))) % 1.23/1.42 (assume @p500 (not (forall @t687 (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t686) @t85) (not (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t686) @t3) (tptp.hAPP @t42 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_z @t3))))))))) % 1.23/1.42 (assume @p501 (forall @t86 (=> @t688 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t24)))) % 1.23/1.42 (assume @p502 (forall @t98 (=> @t154 (exists @t693 (and @t692 @t691))))) % 1.23/1.42 (assume @p503 (forall @t98 (=> @t34 (exists @t693 (and @t692 @t694))))) % 1.23/1.42 (assume @p504 (forall @t40 (=> @t696 (=> (not @t419) @t695)))) % 1.23/1.42 (assume @p505 (forall (@list @t91 @t1 @t2 @t25 @t697) (=> @t700 (=> @t699 (tptp.c_Orderings_Oord__class_Oless__eq @t697 (tptp.hAPP @t2 @t91) (tptp.hAPP @t1 @t91)))))) % 1.23/1.42 (assume @p506 (forall @t373 (=> @t702 (=> @t695 (=> @t701 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t109 @t24)))))) % 1.23/1.42 (assume @p507 (forall @t703 (=> @t702 (=> @t695 (=> @t419 @t261))))) % 1.23/1.42 (assume @p508 (forall @t685 (=> @t688 (=> @t419 (=> @t704 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t109)))))) % 1.23/1.42 (assume @p509 (forall @t40 (=> @t702 (=> @t419 (=> @t695 @t261))))) % 1.23/1.42 (assume @p510 (forall @t307 (=> @t702 (=> @t306 (=> @t620 @t705))))) % 1.23/1.42 (assume @p511 (forall @t165 (=> @t707 (=> @t124 (=> @t620 @t706))))) % 1.23/1.42 (assume @p512 (forall @t165 (=> @t702 (=> @t665 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t113 @t57) @t705))))) % 1.23/1.42 (assume @p513 (forall @t165 (=> @t707 (=> @t665 (=> @t600 @t706))))) % 1.23/1.42 (assume @p514 (forall @t711 (=> @t702 (=> @t710 @t709)))) % 1.23/1.42 (assume @p515 (forall @t40 (=> @t688 (=> @t261 @t419)))) % 1.23/1.42 (assume @p516 (forall @t447 (=> @t702 (= @t288 (and @t708 @t710))))) % 1.23/1.42 (assume @p517 (forall @t40 (=> @t696 (or @t419 @t695)))) % 1.23/1.42 (assume @p518 (forall @t712 (=> @t700 (= @t699 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t697 @t5 @t4)))))) % 1.23/1.42 (assume @p519 (forall @t86 (=> @t688 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t24))))) % 1.23/1.42 (assume @p520 (forall @t447 (=> @t696 (= @t289 (or @t714 @t713))))) % 1.23/1.42 (assume @p521 (forall @t447 (=> @t696 (= @t715 (or @t713 @t288))))) % 1.23/1.42 (assume @p522 (forall @t40 (=> @t696 (or @t259 @t261 @t258)))) % 1.23/1.42 (assume @p523 (forall @t711 (=> @t696 (=> (not @t713) @t716)))) % 1.23/1.42 (assume @p524 (forall @t40 (=> @t696 @t263))) % 1.23/1.42 (assume @p525 (forall @t40 (=> @t702 (=> @t259 @t262)))) % 1.23/1.42 (assume @p526 (forall @t40 (=> @t688 (=> @t259 @t717)))) % 1.23/1.42 (assume @p527 (forall @t40 (=> @t702 (=> @t259 (not (= @t23 @t24)))))) % 1.23/1.42 (assume @p528 (forall @t61 (=> @t688 (=> @t138 (not @t339))))) % 1.23/1.42 (assume @p529 (forall @t193 (=> @t702 (=> @t339 (not @t138))))) % 1.23/1.42 (assume @p530 (forall @t165 (=> @t707 (=> @t665 (=> @t219 @t718))))) % 1.23/1.42 (assume @p531 (forall @t165 (=> @t702 (=> @t665 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t113 @t57) @t719))))) % 1.23/1.42 (assume @p532 (forall @t165 (=> @t707 (=> @t138 (=> @t620 @t718))))) % 1.23/1.42 (assume @p533 (forall @t307 (=> @t702 (=> @t339 (=> @t620 @t719))))) % 1.23/1.42 (assume @p534 (forall @t685 (=> @t688 (=> @t259 @t721)))) % 1.23/1.42 (assume @p535 (forall @t373 (=> @t702 (=> @t258 @t723)))) % 1.23/1.42 (assume @p536 (forall @t40 (=> @t696 (=> @t260 (=> @t262 @t258))))) % 1.23/1.42 (assume @p537 (forall @t447 (=> @t696 (= @t715 @t710)))) % 1.23/1.42 (assume @p538 (forall @t447 (=> @t696 (= (not @t708) @t713)))) % 1.23/1.42 (assume @p539 (forall @t40 (=> @t696 (or @t419 @t258)))) % 1.23/1.42 (assume @p540 (forall @t447 (=> @t702 (= @t714 (and @t708 @t289))))) % 1.23/1.42 (assume @p541 (forall @t447 (=> @t688 (= @t714 (and @t708 (not @t710)))))) % 1.23/1.42 (assume @p542 (forall @t447 (=> @t702 (= @t708 (or @t714 @t288))))) % 1.23/1.42 (assume @p543 (forall @t40 (=> @t696 (=> @t260 @t695)))) % 1.23/1.42 (assume @p544 (forall @t703 (=> @t696 (=> (not @t695) @t259)))) % 1.23/1.42 (assume @p545 (forall @t447 (=> @t696 (=> @t715 @t709)))) % 1.23/1.42 (assume @p546 (forall @t61 (=> @t702 (=> @t724 (=> @t124 @t138))))) % 1.23/1.42 (assume @p547 (forall @t61 (=> @t702 (=> @t724 (=> @t306 @t339))))) % 1.23/1.42 (assume @p548 (forall @t703 (=> @t696 (=> @t695 @t260)))) % 1.23/1.42 (assume @p549 (forall @t40 (=> @t688 (=> @t259 @t419)))) % 1.23/1.42 (assume @p550 (forall @t447 (=> @t696 (=> @t708 @t716)))) % 1.23/1.42 (assume @p551 (forall @t40 (=> @t702 (=> @t419 (or @t259 @t261))))) % 1.23/1.42 (assume @p552 (forall @t61 (=> @t702 (=> @t124 (=> @t724 @t138))))) % 1.23/1.42 (assume @p553 (forall @t193 (=> @t702 (=> @t306 (=> @t724 @t339))))) % 1.23/1.42 (assume @p554 (forall @t685 (=> @t688 (=> @t259 (=> @t704 @t720))))) % 1.23/1.42 (assume @p555 @t727) % 1.23/1.42 (assume @p556 (forall @t685 (=> @t688 (=> @t419 @t721)))) % 1.23/1.42 (assume @p557 (forall @t373 (=> @t702 (=> @t695 @t723)))) % 1.23/1.42 (assume @p558 (forall @t88 (=> @t34 (exists @t693 (and @t692 @t730))))) % 1.23/1.42 (assume @p559 (forall @t86 (=> @t34 (exists @t693 (and @t692 @t731))))) % 1.23/1.42 (assume @p560 (forall @t111 (=> (= @t110 @t83) (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 @t109 @t732)) @t83) (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 @t109 @t732)) @t83) (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 @t109 tptp.c_Complex_Oii)) @t83) (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 @t109 tptp.c_Complex_Oii)) @t83))))) % 1.23/1.42 (assume @p561 (forall @t385 (=> @t55 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t25 @t734) (tptp.hAPP @t733 @t181))))) % 1.23/1.42 (assume @p562 (forall @t712 (=> @t700 (= (tptp.c_Orderings_Oord__class_Oless @t698 @t2 @t1) (and @t699 (not (tptp.c_Orderings_Oord__class_Oless__eq @t698 @t1 @t2))))))) % 1.23/1.42 (assume @p563 (not (= tptp.c_Complex_Oii @t735))) % 1.23/1.42 (assume @p564 (not (= tptp.c_Complex_Oii @t732))) % 1.23/1.42 (assume @p565 (forall @t250 (=> @t55 (= (tptp.c_Polynomial_Opcompose @t25 @t89 @t44) @t89)))) % 1.23/1.43 (assume @p566 (forall @t51 (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t734) @t24) (tptp.hAPP @t47 @t45))))) % 1.23/1.43 (assume @p567 (forall (@list @t736 @t103 @t114 @t91 @t25) (=> @t412 (= (tptp.c_Polynomial_Opdivmod__rel @t25 @t91 @t114 @t103 @t736) (and (= @t91 (tptp.c_Groups_Oplus__class_Oplus @t49 (tptp.hAPP (tptp.hAPP @t52 @t103) @t114) @t736)) (=> @t738 @t739) (=> (not @t738) (or @t737 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t25 @t736) (tptp.c_Polynomial_Odegree @t25 @t114))))))))) % 1.23/1.43 (assume @p568 (forall @t381 (=> @t741 @t740))) % 1.23/1.43 (assume @p569 (forall @t742 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t109) @t740))) % 1.23/1.43 (assume @p570 (forall @t86 (=> @t412 (tptp.c_Polynomial_Opdivmod__rel @t25 @t24 @t89 @t89 @t24)))) % 1.23/1.43 (assume @p571 (forall @t98 (=> @t412 (tptp.c_Polynomial_Opdivmod__rel @t25 @t89 @t23 @t89 @t89)))) % 1.23/1.43 (assume @p572 (forall (@list @t736 @t103 @t91 @t25) (=> @t412 (= (tptp.c_Polynomial_Opdivmod__rel @t25 @t91 @t89 @t103 @t736) (and @t739 (= @t736 @t91)))))) % 1.23/1.43 (assume @p573 (forall (@list @t736 @t103 @t114 @t25) (=> @t412 (= (tptp.c_Polynomial_Opdivmod__rel @t25 @t89 @t114 @t103 @t736) (and @t739 @t737))))) % 1.23/1.43 (assume @p574 (forall @t750 (=> @t412 (=> @t749 (=> @t747 @t745))))) % 1.23/1.43 (assume @p575 (forall @t750 (=> @t412 (=> @t749 (=> @t747 @t751))))) % 1.23/1.43 (assume @p576 (forall @t750 (=> @t412 (=> @t749 (=> @t747 (and @t745 @t751)))))) % 1.23/1.43 (assume @p577 (forall (@list @t752 @t754 @t109 @t21 @t44 @t23 @t24 @t25) (=> @t412 (=> @t756 (=> (tptp.c_Polynomial_Opdivmod__rel @t25 @t44 @t109 @t754 @t752) (tptp.c_Polynomial_Opdivmod__rel @t25 @t24 @t755 @t754 (tptp.c_Groups_Oplus__class_Oplus @t49 (tptp.hAPP @t753 @t752) @t21))))))) % 1.23/1.43 (assume @p578 (forall @t381 (=> @t510 @t757))) % 1.23/1.43 (assume @p579 (forall @t742 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t109) @t757))) % 1.23/1.43 (assume @p580 (forall @t343 (=> @t510 @t741))) % 1.23/1.43 (assume @p581 (forall (@list @t46 @t21) (exists @t357 (and @t356 (forall @t354 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t353 @t21) (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 @t46) @t352)) @t351))))))) % 1.23/1.43 (assume @p582 (forall (@list @t473 @t524) (=> @t587 (=> (tptp.hBOOL @t525) (exists @t568 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t566 @t473) (forall @t761 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t758 @t566) (not @t760))) (tptp.hBOOL (tptp.hAPP @t524 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t566 @t485))))))))) % 1.23/1.43 (assume @p583 (forall @t98 (=> @t154 (exists @t693 (and @t762 @t691))))) % 1.23/1.43 (assume @p584 (forall @t98 (=> @t34 (exists @t693 (and @t762 @t694))))) % 1.23/1.43 (assume @p585 (forall @t86 (=> @t34 (exists @t693 (and @t762 @t731))))) % 1.23/1.43 (assume @p586 (forall @t88 (=> @t34 (exists @t693 (and @t762 @t730))))) % 1.23/1.43 (assume @p587 (forall @t40 (=> @t364 (=> (forall @t354 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t352) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t352 @t145) (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.hAPP (tptp.hAPP @t26 @t352) @t24) @t23)))) @t419)))) % 1.23/1.43 (assume @p588 (forall (@list @t113 @t46 @t25) (=> @t55 (= (tptp.c_Polynomial_Odegree @t25 (tptp.c_Polynomial_Osynthetic__div @t25 @t46 @t113)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t485))))) % 1.23/1.43 (assume @p589 (forall (@list @t205 @t104 @t25) (=> @t55 (= (= (tptp.c_Polynomial_Osynthetic__div @t25 @t104 @t205) @t89) (= (tptp.c_Polynomial_Odegree @t25 @t104) @t143))))) % 1.23/1.43 (assume @p590 (forall (@list @t113 @t25) (=> @t55 (= (tptp.c_Polynomial_Osynthetic__div @t25 @t89 @t113) @t89)))) % 1.23/1.43 (assume @p591 (= (tptp.c_Complex_Oexpi @t735) @t732)) % 1.23/1.43 (assume @p592 (forall @t112 (=> @t765 (= (tptp.c_RComplete_Onatceiling @t764) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t763 @t485))))) % 1.23/1.43 (assume @p593 (forall (@list @t767 @t766 @t25 @t697) (=> (and @t772 @t707) (=> (forall @t378 (=> @t771 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t697 (tptp.c_Groups_Ominus__class_Ominus @t697 @t768 @t769)) @t83))) (forall @t378 (=> @t771 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t770 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t83 (tptp.c_RealVector_Onorm__class_Onorm @t697 @t768))))))))) % 1.23/1.43 (assume @p594 (= (tptp.c_RComplete_Onatceiling @t83) @t485)) % 1.23/1.43 (assume @p595 (forall @t343 (=> @t380 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t763 (tptp.c_RComplete_Onatceiling @t23))))) % 1.23/1.43 (assume @p596 (forall @t112 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t143 @t763))) % 1.23/1.43 (assume @p597 (= (tptp.c_RComplete_Onatceiling @t7) @t143)) % 1.23/1.43 (assume @p598 (forall @t112 (=> @t773 (= @t763 @t143)))) % 1.23/1.43 (assume @p599 (forall @t775 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t56 @t57)) (tptp.hAPP (tptp.hAPP @t774 (tptp.c_Complex_Oexpi @t56)) (tptp.c_Complex_Oexpi @t57))))) % 1.23/1.43 (assume @p600 (forall @t661 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t776 @t485) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t91 @t83)))) % 1.23/1.43 (assume @p601 (forall @t112 (=> @t765 (= (tptp.c_RComplete_Onatfloor @t764) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t777 @t485))))) % 1.23/1.43 (assume @p602 (forall @t781 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t779 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t780) (= @t763 @t778))))) % 1.23/1.43 (assume @p603 (forall (@list @t767 @t25) (=> @t702 (= (tptp.c_SEQ_Odecseq @t25 @t767) (forall (@list @t351 @t375) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t375) (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t769 (tptp.hAPP @t767 @t351)))))))) % 1.23/1.43 (assume @p604 (forall @t443 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t779))) % 1.23/1.43 (assume @p605 (forall @t785 (=> @t784 (= (tptp.c_RComplete_Onatfloor @t783) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t777 @t56))))) % 1.23/1.43 (assume @p606 (forall @t788 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t787 @t56) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t786)))) % 1.23/1.43 (assume @p607 (forall @t443 (= (tptp.c_RComplete_Onatceiling @t779) @t179))) % 1.23/1.43 (assume @p608 (forall @t443 (= (tptp.c_RComplete_Onatfloor @t779) @t179))) % 1.23/1.43 (assume @p609 (forall @t791 (=> @t240 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t790) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t789 @t91))))) % 1.23/1.43 (assume @p610 (forall @t112 (=> @t765 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t792 @t24)))) % 1.23/1.43 (assume @p611 (forall @t112 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t83) @t792))) % 1.23/1.43 (assume @p612 (forall @t112 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t792 @t83)))) % 1.23/1.43 (assume @p613 (forall @t580 (= (= @t795 @t794) @t793))) % 1.23/1.43 (assume @p614 (forall @t589 (= (= @t795 @t7) @t497))) % 1.23/1.43 (assume @p615 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t143) @t7)) % 1.23/1.43 (assume @p616 (forall @t443 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t779 @t7)))) % 1.23/1.43 (assume @p617 (forall @t580 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t795 @t794) @t507))) % 1.23/1.43 (assume @p618 (forall @t580 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t795 @t794) @t796))) % 1.23/1.43 (assume @p619 (forall @t797 (=> @t765 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t779) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t777 @t179))))) % 1.23/1.43 (assume @p620 (forall @t456 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t486) (tptp.hAPP (tptp.hAPP @t10 @t798) @t779)))) % 1.23/1.43 (assume @p621 (forall @t456 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t454) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t798 @t779)))) % 1.23/1.43 (assume @p622 (forall @t788 (=> @t765 (= (tptp.c_RComplete_Onatfloor @t799) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t777 @t56))))) % 1.23/1.43 (assume @p623 (forall (@list @t179 @t109) (=> (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 @t109) @t485) @t179) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t109 @t779)))) % 1.23/1.43 (assume @p624 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t485) @t83)) % 1.23/1.43 (assume @p625 (forall @t781 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t779 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t780) (= @t777 @t179))))) % 1.23/1.43 (assume @p626 (forall @t112 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t763)))) % 1.23/1.43 (assume @p627 (= (tptp.c_RComplete_Onatfloor @t7) @t143)) % 1.23/1.43 (assume @p628 (forall @t112 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t143 @t777))) % 1.23/1.43 (assume @p629 (forall @t343 (=> @t380 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t777 (tptp.c_RComplete_Onatfloor @t23))))) % 1.23/1.43 (assume @p630 (= (tptp.c_RComplete_Onatfloor @t83) @t485)) % 1.23/1.43 (assume @p631 (forall @t589 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t795 @t7) @t497))) % 1.23/1.43 (assume @p632 (forall @t458 (=> @t551 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t467) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t798 @t779))))) % 1.23/1.43 (assume @p633 (forall @t788 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t782) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t763 @t56)))) % 1.23/1.43 (assume @p634 (forall @t112 (=> @t773 (= @t777 @t143)))) % 1.23/1.43 (assume @p635 (forall @t589 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t795) @t578))) % 1.23/1.43 (assume @p636 (forall @t580 (= @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t795 @t83) @t794)))) % 1.23/1.43 (assume @p637 (forall @t580 (= @t796 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t795 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t794 @t83))))) % 1.23/1.43 (assume @p638 (forall @t791 (=> @t240 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t776 @t157) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t91 @t789))))) % 1.23/1.43 (assume @p639 (forall @t785 (=> @t784 (= (tptp.c_RComplete_Onatceiling @t783) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t763 @t56))))) % 1.23/1.43 (assume @p640 (forall @t661 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t485 @t790) @t800))) % 1.23/1.43 (assume @p641 (forall @t788 (=> @t765 (= (tptp.c_RComplete_Onatceiling @t799) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t763 @t56))))) % 1.23/1.43 (assume @p642 (forall @t775 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t56) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t57) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t450 @t786) (tptp.c_RComplete_Onatfloor @t57)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t10 @t56) @t57))))))) % 1.23/1.43 (assume @p643 (forall @t803 (=> @t802 (exists @t378 (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 @t375 @t485)) @t21) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t801)))))) % 1.23/1.43 (assume @p644 (forall @t343 (=> @t804 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t23) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t24 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t23))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t777 @t23)))))) % 1.23/1.43 (assume @p645 (forall @t797 (=> @t765 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t806 @t24) @t83) (tptp.hAPP (tptp.hAPP @t805 @t764) @t179))))) % 1.23/1.43 (assume @p646 (forall @t811 (=> @t178 (= (tptp.hAPP (tptp.hAPP @t808 @t810) @t44) (tptp.hAPP @t809 (tptp.hAPP @t807 @t44)))))) % 1.23/1.43 (assume @p647 (forall (@list @t44 @t23 @t24 @t25) (=> @t178 (= (tptp.hAPP (tptp.hAPP @t808 @t28) @t44) (tptp.hAPP @t814 (tptp.hAPP @t812 @t44)))))) % 1.23/1.43 (assume @p648 (forall @t86 (=> @t178 (= (tptp.hAPP @t809 @t485) @t24)))) % 1.23/1.43 (assume @p649 (forall @t818 (=> @t171 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t817 @t815)))) % 1.23/1.43 (assume @p650 (forall @t818 (=> @t39 (= @t817 @t815)))) % 1.23/1.43 (assume @p651 (forall (@list @t24 @t179 @t46 @t25) (=> @t178 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t819) @t24) (tptp.hAPP (tptp.hAPP @t808 @t48) @t179))))) % 1.23/1.43 (assume @p652 (forall @t455 (and (=> @t823 (= @t821 @t143)) (=> (not @t823) @t822)))) % 1.23/1.43 (assume @p653 (forall @t86 (=> @t178 (= (tptp.hAPP @t809 @t143) @t145)))) % 1.23/1.43 (assume @p654 (forall @t811 (=> @t178 (= (tptp.hAPP (tptp.hAPP @t26 @t810) @t813) (tptp.hAPP @t809 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t46 @t44)))))) % 1.23/1.43 (assume @p655 (forall @t455 (=> @t573 @t822))) % 1.23/1.43 (assume @p656 (forall @t781 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t825 @t824))) % 1.23/1.43 (assume @p657 (forall @t781 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t826))) % 1.23/1.43 (assume @p658 (forall @t781 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t826 @t83))) % 1.23/1.43 (assume @p659 (forall (@list @t24 @t179 @t25) (=> @t652 (=> @t571 (= (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t809 @t827)) @t24) @t816))))) % 1.23/1.43 (assume @p660 (forall (@list @t238 @t179 @t25) (=> @t830 (and (=> @t481 (= @t829 @t145)) (=> @t572 (= @t829 (tptp.hAPP @t239 (tptp.hAPP @t828 @t827)))))))) % 1.23/1.43 (assume @p661 (forall @t836 (=> @t167 (=> @t138 (=> @t298 (=> @t571 @t835)))))) % 1.23/1.43 (assume @p662 (forall @t839 (= (tptp.hBOOL (tptp.hAPP @t524 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t473 @t376))) (and (=> @t487 @t583) (=> (not @t487) (forall @t838 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t837 @t376) (=> (= @t473 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t493 @t758) @t837)) @t760)))))))) % 1.23/1.43 (assume @p663 (forall @t381 (= (tptp.hAPP @t841 @t480) (tptp.hAPP (tptp.hAPP @t843 @t842) (tptp.hAPP @t841 @t109))))) % 1.23/1.43 (assume @p664 (forall @t381 (= (tptp.hAPP (tptp.hAPP @t840 @t842) @t109) (tptp.hAPP @t841 (tptp.hAPP (tptp.hAPP @t450 @t23) @t109))))) % 1.23/1.43 (assume @p665 (forall (@list @t179 @t238 @t270) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t270) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t845 @t238) @t846) @t523)))) % 1.23/1.43 (assume @p666 (forall @t850 (= @t849 (or @t847 @t497)))) % 1.23/1.43 (assume @p667 (forall @t456 (= @t852 @t851))) % 1.23/1.43 (assume @p668 (forall @t456 (= @t851 @t852))) % 1.23/1.43 (assume @p669 (forall (@list @t179 @t46 @t25) (=> @t178 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t25 @t819) (tptp.hAPP @t733 @t179))))) % 1.23/1.43 (assume @p670 (forall @t797 (=> (= @t24 @t792) (= (tptp.c_RComplete_Onatfloor @t853) (tptp.hAPP (tptp.hAPP @t844 @t777) @t179))))) % 1.23/1.43 (assume @p671 (forall (@list @t46 @t238) (and (=> @t484 (= @t855 @t485)) (=> @t503 (= @t855 (tptp.hAPP @t807 (tptp.hAPP @t854 @t502))))))) % 1.23/1.43 (assume @p672 (forall @t856 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t25) (=> @t148 (not (= @t834 @t87)))))) % 1.23/1.43 (assume @p673 (forall @t856 (=> @t652 (= @t859 @t857)))) % 1.23/1.43 (assume @p674 (forall @t836 (=> @t651 (= (tptp.hAPP (tptp.hAPP @t808 @t65) @t179) (tptp.hAPP @t858 @t832))))) % 1.23/1.43 (assume @p675 (forall @t860 (=> @t652 (= (tptp.hAPP (tptp.hAPP @t808 @t145) @t179) @t145)))) % 1.23/1.43 (assume @p676 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t87 @t56) @t87)))) % 1.23/1.43 (assume @p677 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t56 @t87) @t87)))) % 1.23/1.43 (assume @p678 (forall @t836 (=> @t170 @t862))) % 1.23/1.43 (assume @p679 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t56 @t145) @t56)))) % 1.23/1.43 (assume @p680 (forall @t864 (=> @t652 (= (tptp.hAPP @t833 @t486) (tptp.hAPP (tptp.hAPP @t808 @t863) @t179))))) % 1.23/1.43 (assume @p681 (forall @t96 (=> @t652 (= (tptp.hAPP @t833 @t485) @t56)))) % 1.23/1.43 (assume @p682 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t820 @t238))) % 1.23/1.43 (assume @p683 (forall @t466 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t238 @t269) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t179 @t269))))) % 1.23/1.43 (assume @p684 (forall @t590 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 (tptp.hAPP (tptp.hAPP @t450 @t57) @t113)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 @t57) @t113)))) % 1.23/1.43 (assume @p685 (forall @t836 (=> @t167 (=> @t124 (=> @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t834 @t832)))))) % 1.23/1.43 (assume @p686 (forall @t856 (=> @t167 (=> @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t834))))) % 1.23/1.43 (assume @p687 (forall @t856 (=> @t167 (=> @t221 (tptp.c_Orderings_Oord__class_Oless @t25 @t87 @t834))))) % 1.23/1.43 (assume @p688 (forall @t856 (=> @t167 (=> @t865 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t145 @t834))))) % 1.23/1.43 (assume @p689 (forall (@list @t473 @t157 @t25) (=> (and @t830 @t282 @t287 @t176) (= (= @t867 @t87) (and @t283 @t588))))) % 1.23/1.43 (assume @p690 (forall (@list @t473 @t474 @t157 @t25) (=> @t167 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t157) (= (= (tptp.hAPP @t866 @t474) @t867) @t475))))) % 1.23/1.43 (assume @p691 (forall @t132 (=> @t861 @t870))) % 1.23/1.43 (assume @p692 (forall @t132 (=> @t861 (=> @t203 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t135 @t134) @t868))))) % 1.23/1.43 (assume @p693 (forall @t193 (=> @t861 (=> @t192 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t309 @t57) @t56))))) % 1.23/1.43 (assume @p694 (forall @t193 (=> @t861 (=> @t192 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t65 @t57) @t56))))) % 1.23/1.43 (assume @p695 (forall @t132 (=> @t861 (and (=> @t202 (= @t869 @t87)) @t870)))) % 1.23/1.43 (assume @p696 (forall (@list @t179 @t56 @t57 @t25) (=> @t412 (=> @t192 @t862)))) % 1.23/1.43 (assume @p697 (forall @t96 (=> @t861 (=> @t148 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t56 @t56) @t145))))) % 1.23/1.43 (assume @p698 (forall @t96 (=> @t830 (= (tptp.hAPP @t833 @t143) @t145)))) % 1.23/1.43 (assume @p699 (forall @t864 (=> @t652 (= (tptp.hAPP @t833 @t454) (tptp.hAPP (tptp.hAPP @t26 @t863) @t834))))) % 1.23/1.43 (assume @p700 (forall @t856 (=> @t170 (= (tptp.c_Rings_Oinverse__class_Odivide @t25 @t145 @t834) (tptp.hAPP (tptp.hAPP @t808 (tptp.c_Rings_Oinverse__class_Odivide @t25 @t145 @t56)) @t179))))) % 1.23/1.43 (assume @p701 (forall @t456 @t871)) % 1.23/1.43 (assume @p702 (forall @t872 (=> @t167 (=> @t835 (=> @t295 @t138))))) % 1.23/1.43 (assume @p703 (forall @t856 (=> @t167 (=> @t873 (tptp.c_Orderings_Oord__class_Oless @t25 @t834 @t857))))) % 1.23/1.43 (assume @p704 (forall @t856 (=> @t167 (=> @t873 (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t857))))) % 1.23/1.43 (assume @p705 (forall @t860 (=> @t876 (and (=> @t481 (= @t875 @t145)) (=> @t572 (= @t875 @t87)))))) % 1.23/1.43 (assume @p706 (forall @t307 (=> @t861 (=> @t192 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t878 @t57) @t877))))) % 1.23/1.43 (assume @p707 (forall @t307 (=> @t861 (=> @t192 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t879 @t57) @t877))))) % 1.23/1.43 (assume @p708 (forall @t193 (=> @t861 (=> @t192 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t623 @t57) @t880))))) % 1.23/1.43 (assume @p709 (forall @t193 (=> @t861 (=> @t192 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t164 @t57) @t880))))) % 1.23/1.43 (assume @p710 (forall @t885 (=> @t167 (=> @t884 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t883 @t882) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t114)))))) % 1.23/1.43 (assume @p711 (forall @t864 (=> @t167 (=> @t873 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t863 @t834) @t523))))) % 1.23/1.43 (assume @p712 (forall @t889 (=> @t167 (=> @t888 (=> @t873 (tptp.c_Orderings_Oord__class_Oless @t25 @t834 @t887)))))) % 1.23/1.43 (assume @p713 (forall @t889 (=> @t167 (=> @t890 (=> @t865 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t834 @t887)))))) % 1.23/1.43 (assume @p714 (forall @t466 (=> @t574 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t269 @t179) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t269 @t238)))))) % 1.23/1.43 (assume @p715 (forall @t458 (=> @t571 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t486 @t179) @t238)))) % 1.23/1.43 (assume @p716 (forall @t458 (=> @t571 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t611 @t179) @t238)))) % 1.23/1.43 (assume @p717 (forall @t458 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t485 @t179) (=> @t574 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t820 @t238))))) % 1.23/1.43 (assume @p718 (forall @t856 (=> @t167 (=> @t221 (=> @t891 (tptp.c_Orderings_Oord__class_Oless @t25 @t857 @t834)))))) % 1.23/1.43 (assume @p719 (forall @t889 (=> @t167 (=> @t888 (=> @t221 (=> @t891 (tptp.c_Orderings_Oord__class_Oless @t25 @t887 @t834))))))) % 1.23/1.43 (assume @p720 (forall @t872 (=> @t167 (=> (= @t834 @t832) (=> @t298 (=> @t295 (=> @t571 @t665))))))) % 1.23/1.43 (assume @p721 (forall @t889 (=> @t167 (=> @t890 (=> @t298 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t56 @t145) (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t887 @t834))))))) % 1.23/1.43 (assume @p722 (forall @t885 (=> @t167 (=> @t884 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t883 @t882) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t114)))))) % 1.23/1.43 (assume @p723 (forall @t864 (=> @t167 (=> @t873 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t863 @t834) @t539))))) % 1.23/1.43 (assume @p724 (forall @t856 (=> @t167 (=> @t873 (=> @t571 (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t834)))))) % 1.23/1.43 (assume @p725 (forall (@list @t238 @t179 @t56 @t25) (=> @t412 (=> @t148 (=> @t551 (= (tptp.hAPP @t833 @t467) (tptp.c_Rings_Oinverse__class_Odivide @t25 @t863 @t834))))))) % 1.23/1.43 (assume @p726 (forall (@list @t179 @t57) (=> (not (= @t57 @t735)) (=> @t572 (exists @t354 (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 @t732 (tptp.hAPP (tptp.hAPP @t774 @t57) (tptp.hAPP (tptp.hAPP @t892 @t352) @t179)))) @t83)))))) % 1.23/1.43 (assume @p727 (forall @t88 (=> @t830 (= @t808 (tptp.c_Power_Opower_Opower @t25 @t145 @t26))))) % 1.23/1.43 (assume @p728 (forall @t850 (= @t849 (or @t497 @t847)))) % 1.23/1.43 (assume @p729 (forall (@list @t896 @t23 @t893 @t894) (=> (= @t894 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t893) @t23) @t896)) (=> (and (=> @t897 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t896) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t896 @t893))) (=> (not @t897) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t893 @t896) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t896 @t895)))) (=> (not (= @t893 @t895)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t894 @t893) @t23)))))) % 1.23/1.43 (assume @p730 (forall @t839 (= (tptp.hBOOL @t904) (and (=> @t903 (tptp.hBOOL (tptp.hAPP @t524 @t895))) (=> @t902 (forall @t761 (=> (exists @t900 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t837) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t837 @t376) @t898)) @t760))) (=> @t901 (forall @t761 (=> (exists @t900 @t899) @t760))))))) % 1.23/1.43 (assume @p731 (forall (@list @t57 @t56 @t113) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t113) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 (tptp.hAPP @t906 @t113)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t905 @t113))))) % 1.23/1.43 (assume @p732 (forall @t911 (=> @t910 (=> @t909 (=> @t908 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t44 @t907)))))) % 1.23/1.43 (assume @p733 (forall @t911 (=> @t910 (=> @t909 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t56) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t907 @t44)))))) % 1.23/1.43 (assume @p734 (forall @t916 (=> @t915 (=> @t913 (=> @t912 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t754)))))) % 1.23/1.43 (assume @p735 (forall @t916 (=> @t918 (=> @t917 (=> @t912 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t754 @t895)))))) % 1.23/1.43 (assume @p736 (forall @t923 (=> @t922 (=> @t917 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t752 @t57) (=> @t920 @t919)))))) % 1.23/1.43 (assume @p737 (forall @t927 (=> @t926 (=> @t915 (=> @t913 (=> @t908 (=> @t912 (=> @t925 @t924)))))))) % 1.23/1.43 (assume @p738 (forall @t923 (=> @t922 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t21 @t895) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t21) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t752) @t924)))))) % 1.23/1.43 (assume @p739 (forall @t927 (=> @t926 (=> @t918 (=> @t920 (=> @t917 (=> @t912 (=> @t925 @t919)))))))) % 1.23/1.43 (assume @p740 (forall @t500 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t474) (= (= (tptp.hAPP (tptp.hAPP @t843 @t474) @t473) @t907) (and (= @t474 @t907) (= @t473 @t907)))))) % 1.23/1.43 (assume @p741 (forall @t272 (=> @t930 (=> @t929 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t928 @t270) (tptp.hAPP @t928 @t271)))))) % 1.23/1.43 (assume @p742 (forall @t935 (= (tptp.hAPP @t931 @t934) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t933 @t932)))) % 1.23/1.43 (assume @p743 (forall @t382 (= (tptp.hAPP (tptp.hAPP @t843 @t934) @t264) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t939 @t937)))) % 1.23/1.43 (assume @p744 (forall @t935 (= (tptp.hAPP @t931 @t940) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t933 @t932)))) % 1.23/1.43 (assume @p745 (forall @t382 (= (tptp.hAPP (tptp.hAPP @t843 @t940) @t264) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t939 @t937)))) % 1.23/1.43 (assume @p746 (forall @t280 (= (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP @t938 @t276)) @t275) (tptp.hAPP @t938 (tptp.hAPP @t936 @t275))))) % 1.23/1.43 (assume @p747 (forall @t268 (= (tptp.hAPP @t941 @t264) (tptp.hAPP @t931 @t109)))) % 1.23/1.43 (assume @p748 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t843 @t907) @t109) @t109))) % 1.23/1.43 (assume @p749 (forall @t111 (= (tptp.hAPP @t941 @t907) @t109))) % 1.23/1.43 (assume @p750 (forall (@list @t21 @t44 @t23 @t24 @t25) (=> @t412 (=> @t756 (= @t942 @t44))))) % 1.23/1.43 (assume @p751 (forall @t685 (=> @t412 (= (tptp.c_Divides_Odiv__class_Odiv @t49 @t24 @t755) (tptp.c_Divides_Odiv__class_Odiv @t49 @t942 @t109))))) % 1.23/1.43 (assume @p752 (forall (@list @t157 @t944 @t943 @t25) (= (tptp.hAPP @t945 @t143) @t943))) % 1.23/1.43 (assume @p753 (forall @t40 (=> @t412 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t25 @t24) (tptp.c_Polynomial_Odegree @t25 @t23)) (= @t942 @t89))))) % 1.23/1.43 (assume @p754 (forall (@list @t179 @t56 @t21) (= (tptp.hAPP (tptp.hAPP @t892 (tptp.c_Complex_Orcis @t21 @t56)) @t179) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t805 @t21) @t179) (tptp.hAPP @t806 @t56))))) % 1.23/1.43 (assume @p755 (forall @t948 (=> @t571 (=> @t947 (exists (@list @t946) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t946) (= (tptp.hAPP (tptp.hAPP @t805 @t946) @t179) @t56))))))) % 1.23/1.43 (assume @p756 (forall @t775 (=> @t950 (=> @t949 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t905 @t895))))) % 1.23/1.43 (assume @p757 (forall @t954 (=> @t953 (= @t952 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t157))))) % 1.23/1.43 (assume @p758 (forall @t954 (=> @t955 (= @t952 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t157 @t895))))) % 1.23/1.43 (assume @p759 (forall @t956 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t895 @t57) @t895))) % 1.23/1.43 (assume @p760 (forall (@list @t269 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t907 @t269) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t24 @t269) @t24))))) % 1.23/1.43 (assume @p761 (forall @t957 (=> (not (= @t56 @t895)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t56) @t907)))) % 1.23/1.43 (assume @p762 (forall (@list @t376 @t534) (= (= @t958 @t895) (or @t903 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t534) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t534 @t376)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t534 @t895) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t376 @t534)))))) % 1.23/1.43 (assume @p763 (forall @t954 (=> @t955 (= @t960 @t959)))) % 1.23/1.43 (assume @p764 (forall (@list @t534 @t376) (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t958) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t376 @t534))))) % 1.23/1.43 (assume @p765 (forall (@list @t156 @t157) (=> @t959 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t951) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t156 @t157) @t955))))) % 1.23/1.43 (assume @p766 (forall @t343 (=> @t962 (=> @t961 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t24 @t23)))))) % 1.23/1.43 (assume @p767 (forall @t965 (=> @t964 (=> @t912 (=> @t925 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t905 @t963)))))) % 1.23/1.43 (assume @p768 (forall @t775 (=> @t964 (=> @t967 @t966)))) % 1.23/1.43 (assume @p769 (forall @t775 (=> @t964 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t57) @t968)))) % 1.23/1.43 (assume @p770 (forall @t954 (=> @t953 (= @t960 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t157 @t895))))) % 1.23/1.43 (assume @p771 (forall @t775 (=> @t969 (=> @t949 @t966)))) % 1.23/1.43 (assume @p772 (forall @t965 (=> @t950 (=> @t912 (=> @t925 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t963 @t905)))))) % 1.23/1.43 (assume @p773 (forall @t775 (=> @t969 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t56) @t968)))) % 1.23/1.43 (assume @p774 (forall @t972 (=> @t971 (=> @t949 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t905 @t970))))) % 1.23/1.43 (assume @p775 (forall @t972 (=> @t971 (=> @t967 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t970 @t905))))) % 1.23/1.43 (assume @p776 (forall @t111 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t973 @t109) @t895)))) % 1.23/1.43 (assume @p777 (forall @t975 (= @t974 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t405 @t116)))) % 1.23/1.43 (assume @p778 (forall @t975 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t405 @t907) @t116) @t976))) % 1.23/1.43 (assume @p779 (forall @t977 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t907 @t116) @t116) @t895) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t116 @t895)))) % 1.23/1.43 (assume @p780 (forall @t111 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t109) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t973)))) % 1.23/1.43 (assume @p781 (forall @t390 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t264 @t109) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t264 @t907) @t109)))) % 1.23/1.43 (assume @p782 (forall @t975 (= @t974 (or @t976 (= @t405 @t116))))) % 1.23/1.43 (assume @p783 (forall @t975 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t405 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t116 @t907)) @t976))) % 1.23/1.43 (assume @p784 (forall @t977 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t907 @t116) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t116)))) % 1.23/1.43 (assume @p785 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t907)) % 1.23/1.43 (assume @p786 (not (= @t895 @t907))) % 1.23/1.43 (assume @p787 (forall (@list @t405 @t116) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t116 @t405) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t116 @t405) (not (= @t116 @t405)))))) % 1.23/1.43 (assume @p788 (forall (@list @t109 @t979 @t264 @t980) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t980 @t264) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t979 @t109) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t980 @t979) @t978))))) % 1.23/1.43 (assume @p789 (forall @t111 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t895 @t109) @t109))) % 1.23/1.43 (assume @p790 (forall @t111 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t109 @t895) @t109))) % 1.23/1.43 (assume @p791 (forall @t272 (=> @t930 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t270 @t269) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t271 @t269))))) % 1.23/1.43 (assume @p792 (forall @t343 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t23) @t261 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t23 @t24)))) % 1.23/1.43 (assume @p793 (forall @t379 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t376 @t377) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t376 @t377) @t895)))) % 1.23/1.43 (assume @p794 (forall @t268 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t109 @t264) @t978))) % 1.23/1.43 (assume @p795 (forall @t381 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 @t109)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t109))))) % 1.23/1.43 (assume @p796 (forall @t280 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t934 @t275) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t278 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t276 @t275))))) % 1.23/1.43 (assume @p797 (forall @t272 (=> @t981 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t269 @t270) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t269 @t271))))) % 1.23/1.43 (assume @p798 (forall @t268 (=> @t983 (=> @t982 @t265)))) % 1.23/1.43 (assume @p799 (forall @t272 (=> @t981 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t271 @t269) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t270 @t269))))) % 1.23/1.43 (assume @p800 (forall @t268 (or @t983 @t982))) % 1.23/1.43 (assume @p801 (forall @t273 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t264 @t264))) % 1.23/1.43 (assume @p802 (forall @t986 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t985 @t984) (tptp.c_Complex_Orcis (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t748 @t746) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t56 @t57))))) % 1.23/1.43 (assume @p803 (forall @t957 (= (tptp.c_Complex_Orcis @t7 @t56) @t735))) % 1.23/1.43 (assume @p804 (forall @t986 (= (tptp.hAPP (tptp.hAPP @t774 @t985) @t984) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t10 @t748) @t746) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t56 @t57))))) % 1.23/1.43 (assume @p805 (forall @t797 (=> @t962 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 (tptp.hAPP @t841 @t179))))) % 1.23/1.43 (assume @p806 (forall @t343 (=> @t962 (=> @t961 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 (tptp.hAPP (tptp.hAPP @t843 @t24) @t23)))))) % 1.23/1.43 (assume @p807 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t895)) % 1.23/1.43 (assume @p808 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t907)) % 1.23/1.43 (assume @p809 (forall @t343 (=> @t962 (=> @t961 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t23)))))) % 1.23/1.43 (assume @p810 (forall @t989 (=> @t574 (=> @t929 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t988 @t238) @t269) (tptp.hAPP @t988 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t987))))))) % 1.23/1.43 (assume @p811 (forall @t994 (and @t993 (=> (not @t991) (= @t990 @t895))))) % 1.23/1.43 (assume @p812 (forall @t456 (=> @t523 @t997))) % 1.23/1.43 (assume @p813 (forall @t443 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t995))) % 1.23/1.43 (assume @p814 (forall @t443 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t995))) % 1.23/1.43 (assume @p815 (forall (@list @t473 @t157 @t944 @t943 @t25) (= (tptp.hAPP @t945 @t998) (tptp.hAPP (tptp.hAPP @t944 @t157) (tptp.hAPP @t945 @t473))))) % 1.23/1.43 (assume @p816 (forall @t479 (= (= @t1001 @t1000) @t475))) % 1.23/1.43 (assume @p817 (forall @t1003 (=> @t178 (= (tptp.hAPP @t814 @t24) @t1002)))) % 1.23/1.43 (assume @p818 (forall @t1003 (=> @t178 (= @t1004 @t1002)))) % 1.23/1.43 (assume @p819 (forall @t1003 (=> @t178 (= @t1002 @t1004)))) % 1.23/1.43 (assume @p820 (forall @t856 (=> @t652 (= @t1005 @t859)))) % 1.23/1.43 (assume @p821 (forall @t856 (=> @t830 (= @t1005 @t857)))) % 1.23/1.43 (assume @p822 (forall @t343 (=> (= (tptp.c_Nat_OSuc @t24) (tptp.c_Nat_OSuc @t23)) @t261))) % 1.23/1.43 (assume @p823 (forall (@list @t1006 @t1007) (= (= (tptp.c_Nat_OSuc @t1007) (tptp.c_Nat_OSuc @t1006)) (= @t1007 @t1006)))) % 1.23/1.43 (assume @p824 (forall @t443 (not (= @t995 @t179)))) % 1.23/1.43 (assume @p825 (forall @t443 (not (= @t179 @t995)))) % 1.23/1.43 (assume @p826 (forall @t443 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t995 @t179)))) % 1.23/1.43 (assume @p827 (forall @t500 (= (not @t541) @t1008))) % 1.23/1.43 (assume @p828 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t998) (or @t541 (= @t474 @t998))))) % 1.23/1.43 (assume @p829 (forall @t580 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t998 @t1009) @t796))) % 1.23/1.43 (assume @p830 (forall @t456 (=> @t539 @t1010))) % 1.23/1.43 (assume @p831 (forall @t456 (=> @t1010 (=> (not @t539) (= @t238 @t995))))) % 1.23/1.43 (assume @p832 (forall @t456 (=> @t1011 @t539))) % 1.23/1.43 (assume @p833 (forall @t466 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1012 (tptp.c_Nat_OSuc @t269)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t467 @t269)))) % 1.23/1.43 (assume @p834 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t996 @t995) @t467))) % 1.23/1.43 (assume @p835 (forall @t456 (= @t1014 @t1013))) % 1.23/1.43 (assume @p836 (forall @t456 (= @t1015 @t1013))) % 1.23/1.43 (assume @p837 (forall @t456 (= @t1015 @t1014))) % 1.23/1.43 (assume @p838 (forall @t456 (=> @t997 @t523))) % 1.23/1.43 (assume @p839 (forall @t456 (=> @t1016 @t523))) % 1.23/1.43 (assume @p840 (forall @t456 (=> @t1017 (=> @t532 @t482)))) % 1.23/1.43 (assume @p841 (forall @t272 (=> @t515 (=> @t530 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1018 @t269))))) % 1.23/1.43 (assume @p842 (forall @t456 (=> @t523 (=> (not (= @t996 @t179)) @t1016)))) % 1.23/1.43 (assume @p843 (forall @t456 (=> @t523 @t1017))) % 1.23/1.43 (assume @p844 (forall @t458 (=> (not @t512) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t996) @t482)))) % 1.23/1.43 (assume @p845 (forall @t580 (=> (not @t507) @t1020))) % 1.23/1.43 (assume @p846 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1009 @t998) @t508))) % 1.23/1.43 (assume @p847 (forall @t500 (= @t1021 @t591))) % 1.23/1.43 (assume @p848 (forall @t500 (= (not @t508) @t1019))) % 1.23/1.43 (assume @p849 (forall @t504 (not (= @t143 @t996)))) % 1.23/1.43 (assume @p850 (forall (@list @t1022) (not (= @t143 (tptp.c_Nat_OSuc @t1022))))) % 1.23/1.43 (assume @p851 (forall @t504 (not (= @t996 @t143)))) % 1.23/1.43 (assume @p852 (forall (@list @t1023) (not (= (tptp.c_Nat_OSuc @t1023) @t143)))) % 1.23/1.43 (assume @p853 (forall @t504 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t238 @t987) @t238))) % 1.23/1.43 (assume @p854 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t995) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t502 @t179)))) % 1.23/1.43 (assume @p855 (forall @t443 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t995 @t485) @t179))) % 1.23/1.43 (assume @p856 (forall @t443 (= @t995 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t485 @t179)))) % 1.23/1.43 (assume @p857 (forall @t443 (= @t995 @t778))) % 1.23/1.43 (assume @p858 (forall @t458 (=> @t551 (= @t1012 (tptp.c_Nat_OSuc @t467))))) % 1.23/1.43 (assume @p859 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1001 @t1000) @t541))) % 1.23/1.43 (assume @p860 (forall @t456 (= (tptp.hAPP (tptp.hAPP @t450 @t996) @t179) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t179 @t486)))) % 1.23/1.43 (assume @p861 (forall @t456 (= (tptp.hAPP @t464 @t995) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t486)))) % 1.23/1.43 (assume @p862 (forall @t456 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t467 @t996))) % 1.23/1.43 (assume @p863 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1001 @t1000) @t508))) % 1.23/1.43 (assume @p864 (= @t485 @t987)) % 1.23/1.43 (assume @p865 (forall @t580 (= @t507 @t1008))) % 1.23/1.43 (assume @p866 (forall @t500 (= @t1021 @t541))) % 1.23/1.43 (assume @p867 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1009 @t473) @t508))) % 1.23/1.43 (assume @p868 (forall @t456 (=> @t539 @t1017))) % 1.23/1.43 (assume @p869 (forall @t456 (=> @t523 @t1011))) % 1.23/1.43 (assume @p870 (forall @t500 (=> @t541 @t1020))) % 1.23/1.43 (assume @p871 (forall @t456 (=> @t1011 @t523))) % 1.23/1.43 (assume @p872 (forall @t1024 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t270 @t238))))) % 1.23/1.43 (assume @p873 (forall @t1024 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t270))))) % 1.23/1.43 (assume @p874 (forall @t500 (= @t508 (exists @t568 (= @t473 (tptp.c_Nat_OSuc @t567)))))) % 1.23/1.43 (assume @p875 (forall @t500 (= (= @t499 @t987) (and @t1026 @t1025)))) % 1.23/1.43 (assume @p876 (forall @t500 (= (= @t501 @t987) @t1027))) % 1.23/1.43 (assume @p877 (forall @t500 (= (= @t987 @t501) @t1027))) % 1.23/1.43 (assume @p878 (forall @t589 (= @t578 (exists @t357 (= @t473 (tptp.c_Nat_OSuc @t351)))))) % 1.23/1.43 (assume @p879 (forall @t589 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t473 @t987) @t497))) % 1.23/1.43 (assume @p880 (forall @t500 (= @t1021 (or @t498 (exists @t900 (and (= @t474 (tptp.c_Nat_OSuc @t837)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t837 @t473))))))) % 1.23/1.43 (assume @p881 (forall @t860 (=> @t876 (= (tptp.hAPP @t874 @t995) @t87)))) % 1.23/1.43 (assume @p882 (forall @t112 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t1028) (or (= @t24 @t143) (= @t24 @t987))))) % 1.23/1.43 (assume @p883 (forall @t443 (= (tptp.hAPP (tptp.hAPP @t844 @t987) @t179) @t987))) % 1.23/1.43 (assume @p884 (forall (@list @t474 @t91) (= (= (tptp.hAPP @t848 @t474) @t987) (or @t498 (= @t91 @t987))))) % 1.23/1.43 (assume @p885 (forall @t872 (=> @t167 (=> (= @t1005 @t1029) (=> @t298 (=> @t295 @t665)))))) % 1.23/1.43 (assume @p886 (forall @t872 (=> @t167 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t1005 @t1029) (=> @t295 @t124))))) % 1.23/1.43 (assume @p887 (forall @t856 (=> @t167 (=> @t873 (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t1005))))) % 1.23/1.43 (assume @p888 (forall @t458 (=> @t1031 (=> @t1030 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t486))))) % 1.23/1.43 (assume @p889 (forall @t458 (=> @t1031 (=> @t1030 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t179 @t611))))) % 1.23/1.43 (assume @p890 (forall @t458 (=> @t1031 (=> @t1030 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t987 @t486))))) % 1.23/1.43 (assume @p891 (forall @t443 (=> @t571 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t987)) @t179)))) % 1.23/1.43 (assume @p892 (forall (@list @t270 @t179) (=> @t571 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t1018) @t179)))) % 1.23/1.43 (assume @p893 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t499) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t474) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t473))))) % 1.23/1.43 (assume @p894 (forall @t443 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t1032))) % 1.23/1.43 (assume @p895 (forall @t1035 (=> @t555 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1034 @t238) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1033 @t469))))) % 1.23/1.43 (assume @p896 (forall @t1035 (=> @t555 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t1034) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t471 @t1033))))) % 1.23/1.43 (assume @p897 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t987) @t83)) % 1.23/1.43 (assume @p898 (forall @t443 (= @t1032 @t780))) % 1.23/1.43 (assume @p899 (forall @t561 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t270) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t846)))) % 1.23/1.43 (assume @p900 (forall (@list @t179 @t21 @t25) (=> @t167 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t87 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t21 @t145) (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.hAPP (tptp.hAPP @t808 @t21) @t995) @t21)))))) % 1.23/1.43 (assume @p901 (forall @t856 (=> @t167 (=> @t221 (=> @t891 (tptp.c_Orderings_Oord__class_Oless @t25 @t1005 @t145)))))) % 1.23/1.43 (assume @p902 (forall (@list @t23 @t179 @t46 @t25) (=> @t652 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t46 @t179) (= (tptp.hAPP @t812 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t995 @t46)) (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t812 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t179 @t46))) @t23)))))) % 1.23/1.43 (assume @p903 (forall @t443 (=> @t571 (= @t179 @t1036)))) % 1.23/1.43 (assume @p904 (forall @t443 (=> @t571 (= @t1036 @t179)))) % 1.23/1.43 (assume @p905 (forall @t456 (and (=> @t484 (= @t454 @t179)) (=> @t503 (= @t454 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t502 @t179))))))) % 1.23/1.43 (assume @p906 (forall @t458 (=> @t571 @t1038))) % 1.23/1.43 (assume @p907 (forall @t458 (=> @t571 (and @t871 @t1038)))) % 1.23/1.43 (assume @p908 (forall @t343 (=> @t962 (=> @t961 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t990))))) % 1.23/1.43 (assume @p909 (forall @t249 (=> @t144 (and (=> @t391 (= @t1039 @t143)) (=> @t392 (= @t1039 (tptp.c_Nat_OSuc @t183))))))) % 1.23/1.43 (assume @p910 (forall @t40 (=> (tptp.class_Rings_Ocomm__ring__1 @t25) (= (tptp.c_Groups_Ominus__class_Ominus @t25 (tptp.hAPP @t809 @t1028) (tptp.hAPP @t812 @t1028)) (tptp.hAPP @t81 @t153))))) % 1.23/1.43 (assume @p911 (forall @t994 @t993)) % 1.23/1.43 (assume @p912 (forall @t1044 (=> @t772 (= @t1043 (exists @t1042 (forall @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t770 @t1041))))))) % 1.23/1.43 (assume @p913 (forall @t1044 (=> @t772 (= @t1043 (exists @t1042 (forall @t378 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t770 @t1041))))))) % 1.23/1.43 (assume @p914 (forall (@list @t473 @t474 @t524) (= (tptp.hBOOL (tptp.hAPP @t524 @t1045)) (or (and @t497 @t583) (exists @t687 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t489 @t686) @t474) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 (tptp.hAPP @t489 (tptp.c_Nat_OSuc @t686))) (tptp.hBOOL (tptp.hAPP @t524 @t686)))))))) % 1.23/1.43 (assume @p915 (forall (@list @t474 @t103 @t473) (=> @t578 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t489 @t103) @t474) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 (tptp.hAPP @t489 (tptp.c_Nat_OSuc @t103)))) (= @t103 @t1045))))) % 1.23/1.43 (assume @p916 (forall @t458 (=> @t571 (=> @t551 @t1037)))) % 1.23/1.43 (assume @p917 (forall @t994 (=> @t341 (=> @t765 (exists @t378 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t10 @t801) @t23) @t24) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 (tptp.hAPP (tptp.hAPP @t10 @t1046) @t23)))))))) % 1.23/1.43 (assume @p918 (forall @t803 (=> @t802 (exists @t378 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t801 @t21) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t1046)))))) % 1.23/1.43 (assume @p919 (forall @t948 (=> @t571 (=> @t947 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t3) (= (tptp.hAPP (tptp.hAPP @t805 @t3) @t179) @t56) (forall (@list @t1047) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t1047) (= (tptp.hAPP (tptp.hAPP @t805 @t1047) @t179) @t56)) (= @t1047 @t3))))))))) % 1.23/1.43 (assume @p920 (forall @t797 (=> @t342 (= (tptp.c_Transcendental_Oln @t853) (tptp.hAPP @t806 @t1048))))) % 1.23/1.43 (assume @p921 (forall @t241 (=> @t1052 (=> @t1051 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1050 @t1049) @t290))))) % 1.23/1.43 (assume @p922 (forall @t241 (=> @t1052 (=> @t1051 (= (= @t1050 @t1049) @t288))))) % 1.23/1.43 (assume @p923 (forall @t112 (=> @t342 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1048 @t24)))) % 1.23/1.43 (assume @p924 (= (tptp.c_Transcendental_Oln @t83) @t7)) % 1.23/1.43 (assume @p925 (forall @t241 (=> @t1052 (=> @t1051 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1050 @t1049) @t115))))) % 1.23/1.43 (assume @p926 (forall @t112 (=> @t804 @t1053))) % 1.23/1.43 (assume @p927 (forall @t112 (=> @t1055 @t1054))) % 1.23/1.43 (assume @p928 (forall @t661 (=> @t1052 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t1050) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t91))))) % 1.23/1.43 (assume @p929 (forall @t661 (=> @t1052 (= (= @t1050 @t7) (= @t91 @t83))))) % 1.23/1.43 (assume @p930 (forall @t661 (=> @t1052 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1050 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t91 @t83))))) % 1.23/1.43 (assume @p931 (forall @t112 (=> @t342 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t83) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1048 @t7))))) % 1.23/1.43 (assume @p932 (forall @t112 (=> @t1054 (=> @t342 @t1055)))) % 1.23/1.43 (assume @p933 (forall @t661 (=> @t1052 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t1050) @t800)))) % 1.23/1.43 (assume @p934 (forall @t112 (=> @t1053 (=> @t342 @t804)))) % 1.23/1.43 (assume @p935 (forall @t343 (=> @t342 (=> @t341 (= (tptp.c_Transcendental_Oln @t340) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1048 @t1056)))))) % 1.23/1.43 (assume @p936 (forall @t112 (=> @t765 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t83 @t24)) @t24)))) % 1.23/1.43 (assume @p937 (forall @t343 (=> @t342 (=> @t341 (= (tptp.c_Transcendental_Oln (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t24 @t23)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1048 @t1056)))))) % 1.23/1.43 (assume @p938 (forall (@list @t24 @t244) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143 @t244) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t787 @t1057) (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 @t244)) (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 @t244)) @t1057)))))) % 1.23/1.43 (assume @p939 (forall (@list @t473 @t524 @t376) (=> @t901 (= (tptp.hBOOL (tptp.hAPP @t904 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t473 @t376))) (forall @t838 (=> @t899 (tptp.hBOOL (tptp.hAPP @t759 @t837)))))))) % 1.23/1.43 (assume @p940 (forall @t456 (= @t1060 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1059 @t179)))) % 1.23/1.43 (assume @p941 (forall @t504 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t238 @t987) @t143))) % 1.23/1.43 (assume @p942 (forall @t456 (and (=> @t1061 (= @t1060 @t143)) (=> (not @t1061) (= @t1060 @t1059))))) % 1.23/1.43 (assume @p943 (forall @t590 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 @t57) @t113) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t113) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t57 @t113)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t56 @t113) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t57 @t113)) @t113))))) % 1.23/1.43 (assume @p944 (forall @t775 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1062 @t57) @t895))) % 1.23/1.43 (assume @p945 (forall @t61 (=> @t861 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t1063 @t57) @t87)))) % 1.23/1.43 (assume @p946 (forall @t957 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t895) @t895) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t56 @t895) @t56)))) % 1.23/1.43 (assume @p947 (forall @t565 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t452 @t238) @t179) @t1058))) % 1.23/1.43 (assume @p948 (forall @t137 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t879 @t57) @t1063)))) % 1.23/1.43 (assume @p949 (forall @t165 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t878 @t57) @t1063)))) % 1.23/1.43 (assume @p950 (forall @t193 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t309 @t57) @t87)))) % 1.23/1.43 (assume @p951 (forall @t61 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t65 @t57) @t87)))) % 1.23/1.43 (assume @p952 (forall @t1064 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t474 @t228) @t143) (exists @t687 (= @t474 (tptp.hAPP (tptp.hAPP @t450 @t228) @t686)))))) % 1.23/1.43 (assume @p953 (forall @t1064 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t474 @t228) @t895) (exists @t687 (= @t474 (tptp.hAPP (tptp.hAPP @t843 @t228) @t686)))))) % 1.23/1.43 (assume @p954 (forall @t590 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t57) @t113) (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 @t56 @t113) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t57 @t113)) (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 @t56 @t113) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t57 @t113)) @t113))))) % 1.23/1.43 (assume @p955 (forall @t458 (=> @t551 @t1065))) % 1.23/1.43 (assume @p956 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1058 @t238))) % 1.23/1.43 (assume @p957 (forall (@list @t238 @t23 @t24) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t24 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t238)) @t238) @t1066))) % 1.23/1.43 (assume @p958 (forall (@list @t23 @t238 @t24) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t24 @t238) @t23) @t238) @t1066))) % 1.23/1.43 (assume @p959 (forall @t165 (=> @t1069 (= @t1068 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t56 @t1067) @t113))))) % 1.23/1.43 (assume @p960 (forall @t165 (=> @t1069 (= @t1068 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t1070 @t57) @t113))))) % 1.23/1.43 (assume @p961 (forall @t165 (=> @t1069 (= @t1068 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t1070 @t1067) @t113))))) % 1.23/1.43 (assume @p962 (forall @t1073 (=> @t1069 (=> @t1072 (=> @t1071 (= @t1068 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t73 @t62) @t113))))))) % 1.23/1.43 (assume @p963 (forall @t1073 (=> @t861 (=> @t1072 (=> @t1071 (= @t1074 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 @t73 @t62) @t113))))))) % 1.23/1.43 (assume @p964 (forall @t137 (=> @t861 (= @t1075 @t1074)))) % 1.23/1.43 (assume @p965 (forall @t165 (=> @t861 (= @t1076 @t1074)))) % 1.23/1.43 (assume @p966 (forall @t165 (=> @t861 (= @t1074 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 @t1070 @t1067) @t113))))) % 1.23/1.43 (assume @p967 (forall @t165 (=> @t861 (= @t1074 @t1075)))) % 1.23/1.43 (assume @p968 (forall @t165 (=> @t861 (= @t1074 @t1076)))) % 1.23/1.43 (assume @p969 (forall @t193 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t623 @t57) @t1063)))) % 1.23/1.43 (assume @p970 (forall @t61 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t164 @t57) @t1063)))) % 1.23/1.43 (assume @p971 (forall @t458 (=> @t571 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1058 @t179)))) % 1.23/1.43 (assume @p972 (forall @t456 (and @t1078 @t1077))) % 1.23/1.43 (assume @p973 (forall @t456 @t1077)) % 1.23/1.43 (assume @p974 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t56 @t56) @t87)))) % 1.23/1.43 (assume @p975 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t56 @t87) @t56)))) % 1.23/1.43 (assume @p976 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t87 @t56) @t87)))) % 1.23/1.43 (assume @p977 (forall @t456 @t1078)) % 1.23/1.43 (assume @p978 (forall @t444 (=> @t967 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t1062)))) % 1.23/1.43 (assume @p979 (forall @t444 (=> @t949 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1062 @t57)))) % 1.23/1.43 (assume @p980 (forall @t957 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t56 @t56) @t895))) % 1.23/1.43 (assume @p981 (forall @t956 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t895 @t57) @t895))) % 1.23/1.43 (assume @p982 (forall @t989 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 @t238) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t238 @t269) @t238)))) % 1.23/1.43 (assume @p983 (forall @t343 (=> @t962 (=> @t961 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t895 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t24 @t23)))))) % 1.23/1.43 (assume @p984 (forall @t96 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t56 @t145) @t87)))) % 1.23/1.43 (assume @p985 (forall @t61 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t1063 @t57) @t1063)))) % 1.23/1.43 (assume @p986 (forall @t1073 (=> @t861 (=> @t1072 (=> @t1071 (= @t1079 (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.hAPP @t74 @t62) @t113))))))) % 1.23/1.43 (assume @p987 (forall @t137 (=> @t861 (= (tptp.c_Divides_Odiv__class_Omod @t25 (tptp.hAPP (tptp.hAPP @t26 @t1070) @t57) @t113) @t1079)))) % 1.23/1.43 (assume @p988 (forall @t1083 (=> @t1082 (tptp.class_Groups_Ocancel__comm__monoid__add @t1081)))) % 1.23/1.43 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p993 (forall @t1086 (=> (tptp.class_Orderings_Opreorder @t1080) (tptp.class_Orderings_Opreorder @t1085)))) % 1.23/1.43 (assume @p994 (forall @t1086 (=> (tptp.class_Orderings_Oorder @t1080) (tptp.class_Orderings_Oorder @t1085)))) % 1.23/1.43 (assume @p995 (forall @t1086 (=> (tptp.class_Orderings_Oord @t1080) (tptp.class_Orderings_Oord @t1085)))) % 1.23/1.43 (assume @p996 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p997 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p999 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1000 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1001 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1003 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1004 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1005 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1006 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1007 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1008 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1009 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1010 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1011 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1012 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1013 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1014 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1015 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1016 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1018 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1019 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1020 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1021 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1022 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1023 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1024 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1025 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1026 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1027 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1028 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1029 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1030 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1031 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1032 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1033 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1034 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1035 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1036 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1037 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1038 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1039 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1040 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1041 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1042 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1043 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1044 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1045 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1046 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1047 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1048 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1049 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1050 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.23/1.43 (assume @p1051 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1052 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1054 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1055 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1056 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1057 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1058 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1059 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1060 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1061 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1062 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1063 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1064 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1065 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1066 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1067 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1068 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1069 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1070 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1072 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1073 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1074 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1075 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1076 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1077 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1078 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1079 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1080 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1081 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1082 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1083 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1084 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1085 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1086 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.23/1.43 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.23/1.43 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.23/1.43 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.23/1.43 (assume @p1090 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1091 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1092 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1093 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1094 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1095 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1096 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1097 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1098 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1100 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1101 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1102 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1103 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1104 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1105 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1106 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1107 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1108 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1109 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1110 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1111 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1112 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1113 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1114 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1115 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1116 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1117 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1118 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1119 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1120 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1121 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1122 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1123 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1124 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1125 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1126 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1127 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1128 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1129 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1130 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1131 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1132 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1133 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1134 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1135 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1136 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1137 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1138 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1139 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1140 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1141 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1142 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1143 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1144 @t1087) % 1.23/1.43 (assume @p1145 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1146 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1147 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1148 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1149 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1150 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1151 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1152 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1153 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1154 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.23/1.43 (assume @p1155 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1156 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1157 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1158 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1159 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1160 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1161 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1162 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1163 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1164 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1165 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1166 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1167 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1168 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1169 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1170 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1171 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1172 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1173 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1174 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1175 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1176 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1177 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1178 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1179 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1180 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1181 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1182 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1183 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1184 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1185 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1186 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1187 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1188 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1189 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1190 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1191 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1192 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1193 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1194 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.23/1.43 (assume @p1195 (forall @t1083 (=> @t1088 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1081)))) % 1.23/1.43 (assume @p1196 (forall @t1083 (=> @t1089 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1081)))) % 1.23/1.43 (assume @p1197 (forall @t1083 (=> @t1089 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1081)))) % 1.23/1.43 (assume @p1198 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1081)))) % 1.23/1.43 (assume @p1199 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__semiring__1__strict @t1081)))) % 1.23/1.43 (assume @p1200 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__semiring__strict @t1081)))) % 1.23/1.43 (assume @p1201 (forall @t1083 (=> @t1089 (tptp.class_Groups_Oordered__ab__semigroup__add @t1081)))) % 1.23/1.43 (assume @p1202 (forall @t1083 (=> @t1089 (tptp.class_Groups_Oordered__comm__monoid__add @t1081)))) % 1.23/1.43 (assume @p1203 (forall @t1083 (=> @t1089 (tptp.class_Groups_Olinordered__ab__group__add @t1081)))) % 1.23/1.43 (assume @p1204 (forall @t1083 (=> @t1082 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1081)))) % 1.23/1.43 (assume @p1205 (forall @t1083 (=> @t1088 (tptp.class_Rings_Oring__1__no__zero__divisors @t1081)))) % 1.23/1.43 (assume @p1206 (forall @t1083 (=> @t1089 (tptp.class_Rings_Oordered__cancel__semiring @t1081)))) % 1.23/1.43 (assume @p1207 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__ring__strict @t1081)))) % 1.23/1.43 (assume @p1208 (forall @t1083 (=> @t1088 (tptp.class_Rings_Oring__no__zero__divisors @t1081)))) % 1.23/1.43 (assume @p1209 (forall @t1083 (=> @t1089 (tptp.class_Rings_Oordered__comm__semiring @t1081)))) % 1.23/1.43 (assume @p1210 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__semiring__1 @t1081)))) % 1.23/1.43 (assume @p1211 (forall @t1083 (=> @t1089 (tptp.class_Groups_Oordered__ab__group__add @t1081)))) % 1.23/1.43 (assume @p1212 (forall @t1083 (=> @t1082 (tptp.class_Groups_Ocancel__semigroup__add @t1081)))) % 1.23/1.43 (assume @p1213 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__semiring @t1081)))) % 1.23/1.43 (assume @p1214 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__semidom @t1081)))) % 1.23/1.43 (assume @p1215 (forall @t1083 (=> @t1090 (tptp.class_Groups_Oab__semigroup__mult @t1081)))) % 1.23/1.43 (assume @p1216 (forall @t1083 (=> @t1091 (tptp.class_Groups_Ocomm__monoid__mult @t1081)))) % 1.23/1.43 (assume @p1217 (forall @t1083 (=> @t1092 (tptp.class_Groups_Oab__semigroup__add @t1081)))) % 1.23/1.43 (assume @p1218 (forall @t1083 (=> @t1089 (tptp.class_Rings_Oordered__semiring @t1081)))) % 1.23/1.43 (assume @p1219 (forall @t1083 (=> @t1088 (tptp.class_Rings_Ono__zero__divisors @t1081)))) % 1.23/1.43 (assume @p1220 (forall @t1083 (=> @t1092 (tptp.class_Groups_Ocomm__monoid__add @t1081)))) % 1.23/1.43 (assume @p1221 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__ring @t1081)))) % 1.23/1.43 (assume @p1222 (forall @t1083 (=> @t1089 (tptp.class_Rings_Olinordered__idom @t1081)))) % 1.23/1.43 (assume @p1223 (forall @t1083 (=> @t1091 (tptp.class_Rings_Ocomm__semiring__1 @t1081)))) % 1.23/1.43 (assume @p1224 (forall @t1083 (=> @t1090 (tptp.class_Rings_Ocomm__semiring__0 @t1081)))) % 1.23/1.43 (assume @p1225 (forall @t1083 (=> @t1093 (tptp.class_Divides_Osemiring__div @t1081)))) % 1.23/1.43 (assume @p1226 (forall @t1083 (=> @t1090 (tptp.class_Rings_Ocomm__semiring @t1081)))) % 1.23/1.43 (assume @p1227 (forall @t1083 (=> @t1094 (tptp.class_Groups_Oab__group__add @t1081)))) % 1.23/1.43 (assume @p1228 (forall @t1083 (=> @t1091 (tptp.class_Rings_Ozero__neq__one @t1081)))) % 1.23/1.43 (assume @p1229 (forall @t1083 (=> @t1089 (tptp.class_Rings_Oordered__ring @t1081)))) % 1.23/1.43 (assume @p1230 (forall @t1083 (=> @t1089 (tptp.class_Orderings_Opreorder @t1081)))) % 1.23/1.43 (assume @p1231 (forall @t1083 (=> @t1089 (tptp.class_Orderings_Olinorder @t1081)))) % 1.23/1.43 (assume @p1232 (forall @t1083 (=> @t1091 (tptp.class_Groups_Omonoid__mult @t1081)))) % 1.23/1.43 (assume @p1233 (forall @t1083 (=> @t1095 (tptp.class_Rings_Ocomm__ring__1 @t1081)))) % 1.23/1.43 (assume @p1234 (forall @t1083 (=> @t1092 (tptp.class_Groups_Omonoid__add @t1081)))) % 1.23/1.43 (assume @p1235 (forall @t1083 (=> @t1090 (tptp.class_Rings_Osemiring__0 @t1081)))) % 1.23/1.43 (assume @p1236 (forall @t1083 (=> @t1094 (tptp.class_Groups_Ogroup__add @t1081)))) % 1.23/1.43 (assume @p1237 (forall @t1083 (=> @t1093 (tptp.class_Divides_Oring__div @t1081)))) % 1.23/1.43 (assume @p1238 (forall @t1083 (=> @t1090 (tptp.class_Rings_Omult__zero @t1081)))) % 1.23/1.43 (assume @p1239 (forall @t1083 (=> @t1096 (tptp.class_Rings_Ocomm__ring @t1081)))) % 1.23/1.43 (assume @p1240 (forall @t1083 (=> @t1089 (tptp.class_Orderings_Oorder @t1081)))) % 1.23/1.43 (assume @p1241 (forall @t1083 (=> @t1089 (tptp.class_Int_Oring__char__0 @t1081)))) % 1.23/1.43 (assume @p1242 (forall @t1083 (=> @t1090 (tptp.class_Rings_Osemiring @t1081)))) % 1.23/1.43 (assume @p1243 (forall @t1083 (=> @t1089 (tptp.class_Orderings_Oord @t1081)))) % 1.23/1.43 (assume @p1244 (forall @t1083 (=> @t1095 (tptp.class_Rings_Oring__1 @t1081)))) % 1.23/1.43 (assume @p1245 (forall @t1083 (=> @t1091 (tptp.class_Power_Opower @t1081)))) % 1.23/1.43 (assume @p1246 (forall @t1083 (=> (tptp.class_Groups_Ozero @t1080) (tptp.class_Groups_Ozero @t1081)))) % 1.23/1.43 (assume @p1247 (forall @t1083 (=> @t1096 (tptp.class_Rings_Oring @t1081)))) % 1.23/1.43 (assume @p1248 (forall @t1083 (=> @t1088 (tptp.class_Rings_Oidom @t1081)))) % 1.23/1.43 (assume @p1249 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oone @t1081)))) % 1.23/1.43 (assume @p1250 (not @t1097)) % 1.23/1.43 (assume @p1251 true) % 1.23/1.43 (step @p1252 :rule aci_norm :args ((= (or @t1099 @t1101) @t1100))) % 1.23/1.43 (step @p1253 :rule aci_norm :args ((= (or @t717 (or @t1098 @t722)) @t1101))) % 1.23/1.43 (step @p1254 :rule bool-impl-elim :args (@t701 @t722)) % 1.23/1.43 (step @p1255 :rule refl :args (@t717)) % 1.23/1.43 (step @p1256 :rule nary_cong :premises (@p1255 @p1254) :args ((or @t717 @t725))) % 1.23/1.43 (step @p1257 :rule trans :premises (@p1256 @p1253)) % 1.23/1.43 (step @p1258 :rule bool-impl-elim :args (@t258 @t725)) % 1.23/1.43 (step @p1259 :rule trans :premises (@p1258 @p1257)) % 1.23/1.43 (step @p1260 :rule refl :args (@t1099)) % 1.23/1.43 (step @p1261 :rule nary_cong :premises (@p1260 @p1259) :args ((or @t1099 @t726))) % 1.23/1.43 (step @p1262 :rule trans :premises (@p1261 @p1252)) % 1.23/1.43 (step @p1263 :rule bool-impl-elim :args (@t702 @t726)) % 1.23/1.43 (step @p1264 :rule trans :premises (@p1263 @p1262)) % 1.23/1.43 (step @p1265 :rule cong :premises (@p1264) :args (@t727)) % 1.23/1.43 (step @p1266 :rule eq_resolve :premises (@p555 @p1265)) % 1.23/1.43 (step @p1267 :rule cnf_or_pos :args (@t1105)) % 1.23/1.43 (step @p1268 :rule reordering :premises (@p1267) :args ((or @t1097 @t1103 @t1102 @t1104 @t1106))) % 1.23/1.43 (step @p1269 :rule chain_m_resolution :premises (@p1268 @p1250 @p5 @p8 @p1144) :args (@t1106 (@list true false false false) (@list @t1097 @t12 @t37 @t1087))) % 1.23/1.43 (assume-push @p1276 @t1107) % 1.23/1.43 (step @p1271 :rule instantiate :premises (@p1266) :args ((@list @t36 tptp.v_e @t11 tptp.tc_RealDef_Oreal))) % 1.23/1.43 (step-pop @p1277 :rule scope :premises (@p1271)) % 1.23/1.43 (step @p1272 :rule process_scope :premises (@p1277) :args (@t1105)) % 1.23/1.43 (step @p1274 :rule implies_elim :premises (@p1272)) % 1.23/1.43 (step @p1275 false :rule chain_m_resolution :premises (@p1274 @p1269 @p1266) :args (false (@list true false) (@list @t1105 @t1107))) % 1.23/1.43 ) % 1.23/1.43 % SZS output end Proof % 1.23/1.43 % cvc5 exiting %------------------------------------------------------------------------------