%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW254+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:04:36 AM UTC 2026 % Result : Theorem 1.12s 1.34s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW254+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 21:42:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.45/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.34 % SZS status Theorem % 1.12/1.34 % SZS output start Proof % 1.12/1.34 ( % 1.12/1.34 (declare-sort $$unsorted 0) % 1.12/1.34 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v_pa____ $$unsorted) % 1.12/1.34 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.12/1.34 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.12/1.34 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v_q____ $$unsorted) % 1.12/1.34 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v_w____ $$unsorted) % 1.12/1.34 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.v_p $$unsorted) % 1.12/1.34 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.v_c____ $$unsorted) % 1.12/1.34 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.12/1.34 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.34 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.12/1.34 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.12/1.34 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.12/1.34 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.34 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.12/1.34 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.12/1.34 (define @t3 () (@var "B_x" $$unsorted)) % 1.12/1.34 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.12/1.34 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.12/1.34 (define @t6 () (@list @t3)) % 1.12/1.34 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t8 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.12/1.34 (define @t9 () (tptp.hAPP @t8 @t7)) % 1.12/1.34 (define @t10 () (@var "V_b" $$unsorted)) % 1.12/1.34 (define @t11 () (@var "T_a" $$unsorted)) % 1.12/1.34 (define @t12 () (@var "V_a" $$unsorted)) % 1.12/1.34 (define @t13 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t12)) % 1.12/1.34 (define @t14 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t10)) % 1.12/1.34 (define @t15 () (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t14) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t13 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t10)))) % 1.12/1.34 (define @t16 () (tptp.c_Groups_Ozero__class_Ozero @t11)) % 1.12/1.34 (define @t17 () (= @t10 @t16)) % 1.12/1.34 (define @t18 () (not @t17)) % 1.12/1.34 (define @t19 () (tptp.class_RealVector_Oreal__normed__field @t11)) % 1.12/1.34 (define @t20 () (@list @t12 @t10 @t11)) % 1.12/1.34 (define @t21 () (tptp.class_Fields_Ofield__inverse__zero @t11)) % 1.12/1.34 (define @t22 () (@list @t10 @t12 @t11)) % 1.12/1.34 (define @t23 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.34 (define @t24 () (tptp.c_Groups_Oone__class_Oone @t11)) % 1.12/1.34 (define @t25 () (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t24) @t23)) % 1.12/1.34 (define @t26 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t11)) % 1.12/1.34 (define @t27 () (@list @t11)) % 1.12/1.34 (define @t28 () (forall @t27 (=> @t26 @t25))) % 1.12/1.34 (define @t29 () (@var "V_x_2" $$unsorted)) % 1.12/1.34 (define @t30 () (= @t29 @t16)) % 1.12/1.34 (define @t31 () (not @t30)) % 1.12/1.34 (define @t32 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t29)) % 1.12/1.34 (define @t33 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.34 (define @t34 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t32)) % 1.12/1.34 (define @t35 () (= @t34 @t31)) % 1.12/1.34 (define @t36 () (tptp.class_RealVector_Oreal__normed__vector @t11)) % 1.12/1.34 (define @t37 () (=> @t36 @t35)) % 1.12/1.34 (define @t38 () (@list @t29 @t11)) % 1.12/1.34 (define @t39 () (forall @t38 @t37)) % 1.12/1.34 (define @t40 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t12)) % 1.12/1.34 (define @t41 () (= @t12 @t16)) % 1.12/1.34 (define @t42 () (not @t41)) % 1.12/1.34 (define @t43 () (=> @t42 (= @t40 @t24))) % 1.12/1.34 (define @t44 () (tptp.class_Rings_Odivision__ring__inverse__zero @t11)) % 1.12/1.34 (define @t45 () (@list @t12 @t11)) % 1.12/1.34 (define @t46 () (tptp.class_Rings_Odivision__ring @t11)) % 1.12/1.34 (define @t47 () (@var "V_b_2" $$unsorted)) % 1.12/1.34 (define @t48 () (@var "V_a_2" $$unsorted)) % 1.12/1.34 (define @t49 () (= @t48 @t47)) % 1.12/1.34 (define @t50 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t48 @t47)) % 1.12/1.34 (define @t51 () (= @t47 @t16)) % 1.12/1.34 (define @t52 () (@list @t48 @t47 @t11)) % 1.12/1.34 (define @t53 () (tptp.c_Orderings_Oord__class_Oless @t11 @t47 @t16)) % 1.12/1.34 (define @t54 () (tptp.c_Orderings_Oord__class_Oless @t11 @t48 @t16)) % 1.12/1.34 (define @t55 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t47)) % 1.12/1.34 (define @t56 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t48)) % 1.12/1.34 (define @t57 () (tptp.class_Fields_Olinordered__field__inverse__zero @t11)) % 1.12/1.34 (define @t58 () (@list @t47 @t48 @t11)) % 1.12/1.34 (define @t59 () (@var "V_y" $$unsorted)) % 1.12/1.34 (define @t60 () (@var "V_x" $$unsorted)) % 1.12/1.34 (define @t61 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t60 @t59)) % 1.12/1.34 (define @t62 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t61)) % 1.12/1.34 (define @t63 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t59)) % 1.12/1.34 (define @t64 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t60)) % 1.12/1.34 (define @t65 () (tptp.class_Fields_Olinordered__field @t11)) % 1.12/1.34 (define @t66 () (@list @t59 @t60 @t11)) % 1.12/1.34 (define @t67 () (tptp.c_Orderings_Oord__class_Oless @t11 @t61 @t16)) % 1.12/1.34 (define @t68 () (tptp.c_Orderings_Oord__class_Oless @t11 @t59 @t16)) % 1.12/1.34 (define @t69 () (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t16)) % 1.12/1.34 (define @t70 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.12/1.34 (define @t71 () (@var "B_y" $$unsorted)) % 1.12/1.34 (define @t72 () (@list @t3 @t71)) % 1.12/1.34 (define @t73 () (@var "T_b" $$unsorted)) % 1.12/1.34 (define @t74 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t60)) % 1.12/1.34 (define @t75 () (@list @t60 @t11)) % 1.12/1.34 (define @t76 () (tptp.c_Orderings_Oord__class_Oless @t11 @t59 @t60)) % 1.12/1.34 (define @t77 () (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t59)) % 1.12/1.34 (define @t78 () (not @t77)) % 1.12/1.34 (define @t79 () (= @t60 @t59)) % 1.12/1.34 (define @t80 () (not @t79)) % 1.12/1.34 (define @t81 () (=> @t80 (=> @t78 @t76))) % 1.12/1.34 (define @t82 () (tptp.class_Rings_Olinordered__idom @t11)) % 1.12/1.34 (define @t83 () (tptp.class_Rings_Ozero__neq__one @t11)) % 1.12/1.34 (define @t84 () (@list @t59 @t11)) % 1.12/1.34 (define @t85 () (tptp.class_Rings_Olinordered__semidom @t11)) % 1.12/1.34 (define @t86 () (@var "V_c" $$unsorted)) % 1.12/1.34 (define @t87 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t10 @t86)) % 1.12/1.34 (define @t88 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t86)) % 1.12/1.34 (define @t89 () (tptp.c_Orderings_Oord__class_Oless @t11 @t88 @t87)) % 1.12/1.34 (define @t90 () (tptp.c_Orderings_Oord__class_Oless @t11 @t86 @t16)) % 1.12/1.34 (define @t91 () (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t12)) % 1.12/1.34 (define @t92 () (@list @t86 @t12 @t10 @t11)) % 1.12/1.34 (define @t93 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t86)) % 1.12/1.34 (define @t94 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t10)) % 1.12/1.34 (define @t95 () (@list @t86 @t10 @t12 @t11)) % 1.12/1.34 (define @t96 () (tptp.tc_Polynomial_Opoly @t11)) % 1.12/1.34 (define @t97 () (tptp.class_Rings_Ocomm__semiring__1 @t11)) % 1.12/1.34 (define @t98 () (tptp.c_Groups_Ozero__class_Ozero @t96)) % 1.12/1.34 (define @t99 () (tptp.c_Polynomial_Opoly @t11 @t98)) % 1.12/1.34 (define @t100 () (tptp.class_Rings_Ocomm__semiring__0 @t11)) % 1.12/1.34 (define @t101 () (tptp.hAPP @t8 tptp.v_w____)) % 1.12/1.34 (define @t102 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t9) tptp.v_q____)) % 1.12/1.34 (define @t103 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t102)) % 1.12/1.34 (define @t104 () (tptp.c_Groups_Osgn__class_Osgn @t11 @t60)) % 1.12/1.34 (define @t105 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t104)) % 1.12/1.34 (define @t106 () (= @t60 @t16)) % 1.12/1.34 (define @t107 () (tptp.hAPP @t70 tptp.v_c____)) % 1.12/1.34 (define @t108 () (= @t107 @t7)) % 1.12/1.34 (define @t109 () (@var "B_w" $$unsorted)) % 1.12/1.34 (define @t110 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t70 @t109))) % 1.12/1.34 (define @t111 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t9)) % 1.12/1.34 (define @t112 () (@list @t109)) % 1.12/1.34 (define @t113 () (@var "V_pb_2" $$unsorted)) % 1.12/1.34 (define @t114 () (= @t113 @t98)) % 1.12/1.34 (define @t115 () (tptp.c_Polynomial_Opoly @t11 @t113)) % 1.12/1.34 (define @t116 () (tptp.class_Rings_Oidom @t11)) % 1.12/1.34 (define @t117 () (and (tptp.class_Int_Oring__char__0 @t11) @t116)) % 1.12/1.34 (define @t118 () (@list @t113 @t11)) % 1.12/1.34 (define @t119 () (@var "V_qa_2" $$unsorted)) % 1.12/1.34 (define @t120 () (tptp.c_Groups_Osgn__class_Osgn @t11 @t12)) % 1.12/1.34 (define @t121 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t12)) % 1.12/1.34 (define @t122 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.12/1.34 (define @t123 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.12/1.34 (define @t124 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t125 () (tptp.hAPP @t103 @t7)) % 1.12/1.34 (define @t126 () (= @t125 @t124)) % 1.12/1.34 (define @t127 () (tptp.hAPP @t70 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 1.12/1.34 (define @t128 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t12)) % 1.12/1.34 (define @t129 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t128) @t12)) % 1.12/1.34 (define @t130 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t48)) % 1.12/1.34 (define @t131 () (= @t12 @t10)) % 1.12/1.34 (define @t132 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t10)) % 1.12/1.34 (define @t133 () (= @t128 @t132)) % 1.12/1.34 (define @t134 () (@var "V_w" $$unsorted)) % 1.12/1.34 (define @t135 () (@var "V_z" $$unsorted)) % 1.12/1.34 (define @t136 () (= @t135 @t134)) % 1.12/1.34 (define @t137 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t134 @t135)) % 1.12/1.34 (define @t138 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t135 @t134)) % 1.12/1.34 (define @t139 () (@list @t134 @t135)) % 1.12/1.34 (define @t140 () (@var "V_k" $$unsorted)) % 1.12/1.34 (define @t141 () (@var "V_i" $$unsorted)) % 1.12/1.34 (define @t142 () (@var "V_j" $$unsorted)) % 1.12/1.34 (define @t143 () (@list @t140 @t142 @t141)) % 1.12/1.34 (define @t144 () (@list @t134)) % 1.12/1.34 (define @t145 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t48 @t16)) % 1.12/1.34 (define @t146 () (@list @t48 @t11)) % 1.12/1.34 (define @t147 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t48)) % 1.12/1.34 (define @t148 () (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t128) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t13))) % 1.12/1.34 (define @t149 () (tptp.class_RealVector_Oreal__normed__div__algebra @t11)) % 1.12/1.34 (define @t150 () (@var "V_p" $$unsorted)) % 1.12/1.34 (define @t151 () (@list @t150 @t11)) % 1.12/1.34 (define @t152 () (= @t48 @t16)) % 1.12/1.34 (define @t153 () (tptp.c_Polynomial_Osmult @t11 @t48 @t113)) % 1.12/1.34 (define @t154 () (@var "V_y_2" $$unsorted)) % 1.12/1.34 (define @t155 () (= @t29 @t154)) % 1.12/1.34 (define @t156 () (not @t155)) % 1.12/1.34 (define @t157 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t29 @t154)) % 1.12/1.34 (define @t158 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t29 @t154)) % 1.12/1.34 (define @t159 () (@list @t154 @t29)) % 1.12/1.34 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t132 @t128)) % 1.12/1.34 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t10)) % 1.12/1.34 (define @t162 () (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t16)) % 1.12/1.34 (define @t163 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t12)) % 1.12/1.34 (define @t164 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t128 @t132)) % 1.12/1.34 (define @t165 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t29 @t16)) % 1.12/1.34 (define @t166 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t29)) % 1.12/1.34 (define @t167 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t16) @t16)) % 1.12/1.34 (define @t168 () (= @t128 @t16)) % 1.12/1.34 (define @t169 () (= @t29 @t24)) % 1.12/1.34 (define @t170 () (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t16) @t16)) % 1.12/1.34 (define @t171 () (tptp.c_Groups_Osgn__class_Osgn @t11 @t48)) % 1.12/1.34 (define @t172 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t29)) % 1.12/1.34 (define @t173 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t24)) % 1.12/1.34 (define @t174 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t29)) % 1.12/1.34 (define @t175 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t128)) % 1.12/1.34 (define @t176 () (tptp.c_Orderings_Oord__class_Oless @t11 @t128 @t16)) % 1.12/1.34 (define @t177 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t16)) % 1.12/1.34 (define @t178 () (tptp.c_Orderings_Oord__class_Oless @t11 @t132 @t128)) % 1.12/1.34 (define @t179 () (tptp.c_Orderings_Oord__class_Oless @t11 @t128 @t132)) % 1.12/1.34 (define @t180 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t24 @t12)) % 1.12/1.34 (define @t181 () (= @t128 @t180)) % 1.12/1.34 (define @t182 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t47 @t16)) % 1.12/1.34 (define @t183 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t47)) % 1.12/1.34 (define @t184 () (or (and @t147 @t183) (and @t145 @t182))) % 1.12/1.34 (define @t185 () (or (and @t147 @t182) (and @t145 @t183))) % 1.12/1.34 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t86)) % 1.12/1.34 (define @t187 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t86 @t16)) % 1.12/1.34 (define @t188 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t24)) % 1.12/1.34 (define @t189 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t61)) % 1.12/1.34 (define @t190 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t60)) % 1.12/1.34 (define @t191 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t61 @t16)) % 1.12/1.34 (define @t192 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t59 @t134)) % 1.12/1.34 (define @t193 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t60 @t135)) % 1.12/1.34 (define @t194 () (tptp.c_Orderings_Oord__class_Oless @t11 @t193 @t192)) % 1.12/1.34 (define @t195 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t134)) % 1.12/1.34 (define @t196 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t59)) % 1.12/1.34 (define @t197 () (@list @t135 @t134 @t59 @t60 @t11)) % 1.12/1.34 (define @t198 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t134 @t135)) % 1.12/1.34 (define @t199 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t16)) % 1.12/1.34 (define @t200 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t60)) % 1.12/1.34 (define @t201 () (@list @t60)) % 1.12/1.34 (define @t202 () (@var "B_z" $$unsorted)) % 1.12/1.34 (define @t203 () (@list @t202)) % 1.12/1.34 (define @t204 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t205 () (tptp.hAPP (tptp.hAPP @t204 @t125) @t9)) % 1.12/1.34 (define @t206 () (= @t9 @t205)) % 1.12/1.34 (define @t207 () (@var "V_r" $$unsorted)) % 1.12/1.34 (define @t208 () (tptp.class_Fields_Ofield @t11)) % 1.12/1.34 (define @t209 () (tptp.class_Orderings_Opreorder @t11)) % 1.12/1.34 (define @t210 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.12/1.34 (define @t211 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t154 @t29)) % 1.12/1.34 (define @t212 () (tptp.c_Orderings_Oord__class_Oless @t11 @t29 @t154)) % 1.12/1.34 (define @t213 () (not @t212)) % 1.12/1.34 (define @t214 () (tptp.class_Orderings_Olinorder @t11)) % 1.12/1.34 (define @t215 () (@list @t154 @t29 @t11)) % 1.12/1.34 (define @t216 () (@var "V_m" $$unsorted)) % 1.12/1.34 (define @t217 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t24)) % 1.12/1.34 (define @t218 () (tptp.c_Groups_Otimes__class_Otimes @t11)) % 1.12/1.34 (define @t219 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t24)) % 1.12/1.34 (define @t220 () (tptp.hAPP (tptp.hAPP @t218 @t219) @t216)) % 1.12/1.34 (define @t221 () (tptp.hAPP @t218 @t12)) % 1.12/1.34 (define @t222 () (tptp.hAPP @t221 @t216)) % 1.12/1.34 (define @t223 () (@var "V_d" $$unsorted)) % 1.12/1.34 (define @t224 () (tptp.hAPP @t218 @t207)) % 1.12/1.34 (define @t225 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t11)) % 1.12/1.34 (define @t226 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t86 @t12)) % 1.12/1.34 (define @t227 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t86)) % 1.12/1.34 (define @t228 () (tptp.hAPP @t218 @t10)) % 1.12/1.34 (define @t229 () (tptp.hAPP @t228 @t12)) % 1.12/1.34 (define @t230 () (tptp.hAPP @t221 @t10)) % 1.12/1.34 (define @t231 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t86 @t223)) % 1.12/1.34 (define @t232 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t231)) % 1.12/1.34 (define @t233 () (@list @t223 @t86 @t12 @t11)) % 1.12/1.34 (define @t234 () (@var "V_ry" $$unsorted)) % 1.12/1.34 (define @t235 () (@var "V_lx" $$unsorted)) % 1.12/1.34 (define @t236 () (tptp.hAPP @t218 @t235)) % 1.12/1.34 (define @t237 () (@var "V_rx" $$unsorted)) % 1.12/1.34 (define @t238 () (tptp.hAPP @t218 @t237)) % 1.12/1.34 (define @t239 () (tptp.hAPP @t238 @t234)) % 1.12/1.34 (define @t240 () (tptp.hAPP @t236 @t239)) % 1.12/1.34 (define @t241 () (@list @t234 @t237 @t235 @t11)) % 1.12/1.34 (define @t242 () (tptp.hAPP @t218 (tptp.hAPP @t236 @t237))) % 1.12/1.34 (define @t243 () (tptp.hAPP @t218 @t60)) % 1.12/1.34 (define @t244 () (tptp.hAPP @t243 @t135)) % 1.12/1.34 (define @t245 () (tptp.hAPP @t243 @t59)) % 1.12/1.34 (define @t246 () (@list @t135 @t59 @t60 @t11)) % 1.12/1.34 (define @t247 () (@var "V_ca_2" $$unsorted)) % 1.12/1.34 (define @t248 () (tptp.hAPP @t218 @t47)) % 1.12/1.34 (define @t249 () (tptp.hAPP @t248 @t247)) % 1.12/1.34 (define @t250 () (@var "V_d_2" $$unsorted)) % 1.12/1.34 (define @t251 () (tptp.hAPP @t218 @t48)) % 1.12/1.34 (define @t252 () (tptp.hAPP @t251 @t250)) % 1.12/1.34 (define @t253 () (tptp.hAPP @t251 @t247)) % 1.12/1.34 (define @t254 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 @t86)) % 1.12/1.34 (define @t255 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t10)) % 1.12/1.34 (define @t256 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t255 @t86)) % 1.12/1.34 (define @t257 () (= @t256 (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t254))) % 1.12/1.34 (define @t258 () (tptp.hAPP @t228 @t86)) % 1.12/1.34 (define @t259 () (@var "V_ly" $$unsorted)) % 1.12/1.34 (define @t260 () (tptp.hAPP @t218 @t259)) % 1.12/1.34 (define @t261 () (tptp.hAPP @t218 (tptp.hAPP @t236 @t259))) % 1.12/1.34 (define @t262 () (tptp.hAPP @t261 @t237)) % 1.12/1.34 (define @t263 () (@list @t237 @t259 @t235 @t11)) % 1.12/1.34 (define @t264 () (tptp.hAPP @t221 @t86)) % 1.12/1.34 (define @t265 () (tptp.hAPP @t218 @t255)) % 1.12/1.34 (define @t266 () (= (tptp.hAPP @t265 @t86) (tptp.c_Groups_Oplus__class_Oplus @t11 @t264 @t258))) % 1.12/1.34 (define @t267 () (= @t47 @t247)) % 1.12/1.34 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t48 @t247)) % 1.12/1.34 (define @t269 () (tptp.class_Groups_Ocancel__semigroup__add @t11)) % 1.12/1.34 (define @t270 () (@list @t247 @t47 @t48 @t11)) % 1.12/1.34 (define @t271 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t247 @t48)) % 1.12/1.34 (define @t272 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t47 @t48)) % 1.12/1.34 (define @t273 () (tptp.hAPP @t261 @t239)) % 1.12/1.34 (define @t274 () (@list @t234 @t237 @t259 @t235 @t11)) % 1.12/1.34 (define @t275 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 @t223)) % 1.12/1.34 (define @t276 () (@list @t223 @t86 @t10 @t12 @t11)) % 1.12/1.34 (define @t277 () (@var "V_z_2" $$unsorted)) % 1.12/1.34 (define @t278 () (@var "V_wa_2" $$unsorted)) % 1.12/1.34 (define @t279 () (tptp.hAPP @t218 @t29)) % 1.12/1.34 (define @t280 () (tptp.hAPP @t218 @t278)) % 1.12/1.34 (define @t281 () (tptp.hAPP @t279 @t277)) % 1.12/1.34 (define @t282 () (tptp.hAPP @t280 @t154)) % 1.12/1.34 (define @t283 () (= @t10 @t86)) % 1.12/1.34 (define @t284 () (=> (= @t255 @t227) @t283)) % 1.12/1.34 (define @t285 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 @t12)) % 1.12/1.34 (define @t286 () (@var "V_e" $$unsorted)) % 1.12/1.34 (define @t287 () (@var "V_ya" $$unsorted)) % 1.12/1.34 (define @t288 () (tptp.hAPP @t218 @t59)) % 1.12/1.34 (define @t289 () (tptp.hAPP @t288 @t287)) % 1.12/1.34 (define @t290 () (tptp.hAPP @t243 @t287)) % 1.12/1.34 (define @t291 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t60 @t59)) % 1.12/1.34 (define @t292 () (tptp.class_RealVector_Oreal__normed__algebra @t11)) % 1.12/1.34 (define @t293 () (@list @t287 @t59 @t60 @t11)) % 1.12/1.34 (define @t294 () (@var "V_a_H" $$unsorted)) % 1.12/1.34 (define @t295 () (tptp.hAPP @t218 @t294)) % 1.12/1.34 (define @t296 () (tptp.hAPP @t295 @t10)) % 1.12/1.34 (define @t297 () (@list @t10 @t294 @t12 @t11)) % 1.12/1.34 (define @t298 () (@var "V_xa" $$unsorted)) % 1.12/1.34 (define @t299 () (tptp.hAPP @t218 @t298)) % 1.12/1.34 (define @t300 () (tptp.hAPP @t299 @t59)) % 1.12/1.34 (define @t301 () (tptp.hAPP @t299 @t60)) % 1.12/1.34 (define @t302 () (@list @t59 @t60 @t298 @t11)) % 1.12/1.34 (define @t303 () (@var "V_b_H" $$unsorted)) % 1.12/1.34 (define @t304 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t59)) % 1.12/1.34 (define @t305 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.12/1.34 (define @t306 () (tptp.hAPP (tptp.hAPP @t305 @t74) @t304)) % 1.12/1.34 (define @t307 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t245)) % 1.12/1.34 (define @t308 () (= @t307 @t306)) % 1.12/1.34 (define @t309 () (forall @t66 (=> @t149 @t308))) % 1.12/1.34 (define @t310 () (@var "V_q" $$unsorted)) % 1.12/1.34 (define @t311 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t310) @t60)) % 1.12/1.34 (define @t312 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t150) @t60)) % 1.12/1.34 (define @t313 () (tptp.c_Groups_Oplus__class_Oplus @t96 @t150 @t310)) % 1.12/1.34 (define @t314 () (@list @t60 @t310 @t150 @t11)) % 1.12/1.34 (define @t315 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t16) @t12)) % 1.12/1.34 (define @t316 () (tptp.class_Groups_Ocomm__monoid__add @t11)) % 1.12/1.34 (define @t317 () (tptp.class_Groups_Omonoid__add @t11)) % 1.12/1.34 (define @t318 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t48 @t48)) % 1.12/1.34 (define @t319 () (tptp.class_Groups_Olinordered__ab__group__add @t11)) % 1.12/1.34 (define @t320 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t16 @t12) @t12)) % 1.12/1.34 (define @t321 () (tptp.c_Polynomial_Osmult @t11 @t10 @t150)) % 1.12/1.34 (define @t322 () (tptp.c_Polynomial_Osmult @t11 @t12 @t150)) % 1.12/1.34 (define @t323 () (@list @t150 @t10 @t12 @t11)) % 1.12/1.34 (define @t324 () (tptp.c_Groups_Otimes__class_Otimes @t96)) % 1.12/1.34 (define @t325 () (tptp.hAPP @t324 @t150)) % 1.12/1.34 (define @t326 () (tptp.hAPP @t325 @t310)) % 1.12/1.34 (define @t327 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t48 @t47)) % 1.12/1.34 (define @t328 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t47 @t247)) % 1.12/1.34 (define @t329 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t11)) % 1.12/1.34 (define @t330 () (@list @t47 @t247 @t48 @t11)) % 1.12/1.34 (define @t331 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t247 @t47)) % 1.12/1.34 (define @t332 () (@list @t47 @t48 @t247 @t11)) % 1.12/1.34 (define @t333 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t227 @t254)) % 1.12/1.34 (define @t334 () (tptp.class_Groups_Oordered__ab__semigroup__add @t11)) % 1.12/1.34 (define @t335 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t86 @t10)) % 1.12/1.34 (define @t336 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t226 @t335)) % 1.12/1.34 (define @t337 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t86 @t223)) % 1.12/1.34 (define @t338 () (@list @t10 @t86 @t12 @t11)) % 1.12/1.34 (define @t339 () (@list @t10 @t12 @t86 @t11)) % 1.12/1.34 (define @t340 () (tptp.c_Orderings_Oord__class_Oless @t11 @t226 @t335)) % 1.12/1.34 (define @t341 () (tptp.c_Orderings_Oord__class_Oless @t11 @t227 @t254)) % 1.12/1.34 (define @t342 () (tptp.c_Orderings_Oord__class_Oless @t11 @t227 @t275)) % 1.12/1.34 (define @t343 () (tptp.c_Orderings_Oord__class_Oless @t11 @t86 @t223)) % 1.12/1.34 (define @t344 () (=> @t343 @t342)) % 1.12/1.34 (define @t345 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t11)) % 1.12/1.34 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t11 @t48 @t47)) % 1.12/1.34 (define @t347 () (= (tptp.hAPP @t221 @t16) @t16)) % 1.12/1.34 (define @t348 () (tptp.hAPP @t218 @t16)) % 1.12/1.34 (define @t349 () (= (tptp.hAPP @t348 @t12) @t16)) % 1.12/1.34 (define @t350 () (= (tptp.hAPP @t221 @t24) @t12)) % 1.12/1.34 (define @t351 () (tptp.class_Groups_Ocomm__monoid__mult @t11)) % 1.12/1.34 (define @t352 () (tptp.class_Groups_Omonoid__mult @t11)) % 1.12/1.34 (define @t353 () (= (tptp.hAPP (tptp.hAPP @t218 @t24) @t12) @t12)) % 1.12/1.34 (define @t354 () (tptp.hAPP @t288 @t135)) % 1.12/1.34 (define @t355 () (tptp.hAPP (tptp.hAPP @t218 @t134) @t59)) % 1.12/1.34 (define @t356 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t134 @t135)) % 1.12/1.34 (define @t357 () (not (= @t135 @t16))) % 1.12/1.34 (define @t358 () (not (= @t59 @t16))) % 1.12/1.34 (define @t359 () (@list @t134 @t60 @t135 @t59 @t11)) % 1.12/1.34 (define @t360 () (tptp.hAPP @t218 @t135)) % 1.12/1.34 (define @t361 () (tptp.hAPP @t360 @t59)) % 1.12/1.34 (define @t362 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t60 @t361)) % 1.12/1.34 (define @t363 () (@list @t59 @t60 @t135 @t11)) % 1.12/1.34 (define @t364 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t362 @t59)) % 1.12/1.34 (define @t365 () (@list @t135 @t60 @t59 @t11)) % 1.12/1.34 (define @t366 () (tptp.hAPP @t360 @t60)) % 1.12/1.34 (define @t367 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t59 @t135)) % 1.12/1.34 (define @t368 () (@list @t60 @t135 @t59 @t11)) % 1.12/1.34 (define @t369 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t128 @t132)) % 1.12/1.34 (define @t370 () (tptp.hAPP @t218 @t128)) % 1.12/1.34 (define @t371 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t291)) % 1.12/1.34 (define @t372 () (@var "V_s" $$unsorted)) % 1.12/1.34 (define @t373 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t304 @t372)) % 1.12/1.34 (define @t374 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t207)) % 1.12/1.34 (define @t375 () (@list @t372 @t59 @t207 @t60 @t11)) % 1.12/1.34 (define @t376 () (tptp.hAPP @t305 @t207)) % 1.12/1.34 (define @t377 () (= @t230 @t16)) % 1.12/1.34 (define @t378 () (tptp.class_Rings_Ono__zero__divisors @t11)) % 1.12/1.34 (define @t379 () (tptp.hAPP @t251 @t47)) % 1.12/1.34 (define @t380 () (tptp.class_Rings_Omult__zero @t11)) % 1.12/1.34 (define @t381 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t230)) % 1.12/1.34 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t16)) % 1.12/1.34 (define @t383 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t16)) % 1.12/1.34 (define @t384 () (tptp.class_Groups_Oordered__comm__monoid__add @t11)) % 1.12/1.34 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t227)) % 1.12/1.34 (define @t386 () (@list @t12 @t10 @t86 @t11)) % 1.12/1.34 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t86)) % 1.12/1.34 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t12)) % 1.12/1.34 (define @t389 () (= @t154 @t16)) % 1.12/1.34 (define @t390 () (and @t30 @t389)) % 1.12/1.34 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t10)) % 1.12/1.34 (define @t392 () (tptp.c_Orderings_Oord__class_Oless @t11 @t255 @t16)) % 1.12/1.34 (define @t393 () (=> @t162 @t392)) % 1.12/1.34 (define @t394 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t255)) % 1.12/1.34 (define @t395 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t10)) % 1.12/1.34 (define @t396 () (=> @t395 @t394)) % 1.12/1.34 (define @t397 () (= (tptp.c_Orderings_Oord__class_Oless @t11 @t318 @t16) @t54)) % 1.12/1.34 (define @t398 () (@var "V_v" $$unsorted)) % 1.12/1.34 (define @t399 () (@var "V_u" $$unsorted)) % 1.12/1.34 (define @t400 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t218 @t399) @t60) (tptp.hAPP (tptp.hAPP @t218 @t398) @t59))) % 1.12/1.34 (define @t401 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t399 @t398) @t24)) % 1.12/1.34 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t398)) % 1.12/1.34 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t399)) % 1.12/1.34 (define @t404 () (@list @t398 @t399 @t59 @t12 @t60 @t11)) % 1.12/1.34 (define @t405 () (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t227)) % 1.12/1.34 (define @t406 () (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t86)) % 1.12/1.34 (define @t407 () (=> @t406 @t405)) % 1.12/1.34 (define @t408 () (tptp.hAPP @t221 @t12)) % 1.12/1.34 (define @t409 () (tptp.class_Rings_Olinordered__ring @t11)) % 1.12/1.34 (define @t410 () (tptp.class_Rings_Olinordered__ring__strict @t11)) % 1.12/1.34 (define @t411 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t230)) % 1.12/1.34 (define @t412 () (tptp.class_Rings_Oordered__cancel__semiring @t11)) % 1.12/1.34 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t230 @t16)) % 1.12/1.34 (define @t414 () (tptp.class_Rings_Oordered__ring @t11)) % 1.12/1.34 (define @t415 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t264 @t258)) % 1.12/1.34 (define @t416 () (tptp.class_Rings_Oordered__semiring @t11)) % 1.12/1.34 (define @t417 () (tptp.hAPP @t218 @t86)) % 1.12/1.34 (define @t418 () (tptp.hAPP @t417 @t10)) % 1.12/1.34 (define @t419 () (tptp.hAPP @t417 @t12)) % 1.12/1.34 (define @t420 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t419 @t418)) % 1.12/1.34 (define @t421 () (=> @t161 (=> @t186 @t420))) % 1.12/1.34 (define @t422 () (tptp.hAPP @t228 @t223)) % 1.12/1.34 (define @t423 () (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t264 @t422))) % 1.12/1.34 (define @t424 () (tptp.c_Orderings_Oord__class_Oless @t11 @t419 @t418)) % 1.12/1.34 (define @t425 () (tptp.c_Orderings_Oord__class_Oless @t11 @t264 @t258)) % 1.12/1.34 (define @t426 () (=> @t94 (=> @t93 @t424))) % 1.12/1.34 (define @t427 () (tptp.class_Rings_Olinordered__semiring__strict @t11)) % 1.12/1.34 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t230)) % 1.12/1.34 (define @t429 () (tptp.c_Orderings_Oord__class_Oless @t11 @t230 @t16)) % 1.12/1.34 (define @t430 () (tptp.c_Orderings_Oord__class_Oless @t11 @t47 @t48)) % 1.12/1.34 (define @t431 () (tptp.hAPP @t218 @t247)) % 1.12/1.34 (define @t432 () (tptp.hAPP @t431 @t47)) % 1.12/1.34 (define @t433 () (tptp.hAPP @t431 @t48)) % 1.12/1.34 (define @t434 () (tptp.c_Orderings_Oord__class_Oless @t11 @t433 @t432)) % 1.12/1.34 (define @t435 () (tptp.c_Orderings_Oord__class_Oless @t11 @t247 @t16)) % 1.12/1.34 (define @t436 () (=> @t121 @t395)) % 1.12/1.34 (define @t437 () (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t247)) % 1.12/1.34 (define @t438 () (or (and @t437 @t346) (and @t435 @t430))) % 1.12/1.34 (define @t439 () (@var "V_n" $$unsorted)) % 1.12/1.34 (define @t440 () (= @t86 @t16)) % 1.12/1.34 (define @t441 () (not @t440)) % 1.12/1.34 (define @t442 () (not @t389)) % 1.12/1.34 (define @t443 () (= @t47 @t253)) % 1.12/1.34 (define @t444 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t47 @t247)) % 1.12/1.34 (define @t445 () (= @t444 @t48)) % 1.12/1.34 (define @t446 () (= @t247 @t16)) % 1.12/1.34 (define @t447 () (not @t446)) % 1.12/1.34 (define @t448 () (@list @t48 @t47 @t247 @t11)) % 1.12/1.34 (define @t449 () (= @t253 @t47)) % 1.12/1.34 (define @t450 () (= @t48 @t444)) % 1.12/1.34 (define @t451 () (=> @t446 @t152)) % 1.12/1.34 (define @t452 () (@list @t48 @t247 @t47 @t11)) % 1.12/1.34 (define @t453 () (= @t14 (tptp.hAPP @t221 @t132))) % 1.12/1.34 (define @t454 () (tptp.class_Groups_Ozero @t11)) % 1.12/1.34 (define @t455 () (=> @t93 @t161)) % 1.12/1.34 (define @t456 () (=> @t186 @t94)) % 1.12/1.34 (define @t457 () (=> @t424 @t456)) % 1.12/1.34 (define @t458 () (tptp.class_Rings_Olinordered__semiring @t11)) % 1.12/1.34 (define @t459 () (=> @t425 @t456)) % 1.12/1.34 (define @t460 () (tptp.c_Orderings_Oord__class_Oless @t11 @t264 @t422)) % 1.12/1.34 (define @t461 () (=> @t186 @t460)) % 1.12/1.34 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t433 @t432)) % 1.12/1.34 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t59 @t24)) % 1.12/1.34 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t59)) % 1.12/1.34 (define @t465 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t255 @t217)) % 1.12/1.34 (define @t466 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t86 @t10)) % 1.12/1.34 (define @t467 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t86 @t12)) % 1.12/1.34 (define @t468 () (=> @t428 (tptp.c_Orderings_Oord__class_Oless @t11 @t467 @t466))) % 1.12/1.34 (define @t469 () (tptp.c_Orderings_Oord__class_Oless @t11 @t253 @t47)) % 1.12/1.34 (define @t470 () (tptp.c_Orderings_Oord__class_Oless @t11 @t444 @t48)) % 1.12/1.34 (define @t471 () (tptp.c_Orderings_Oord__class_Oless @t11 @t47 @t253)) % 1.12/1.34 (define @t472 () (tptp.c_Orderings_Oord__class_Oless @t11 @t48 @t444)) % 1.12/1.34 (define @t473 () (= @t470 @t471)) % 1.12/1.34 (define @t474 () (=> @t437 @t473)) % 1.12/1.34 (define @t475 () (forall @t448 (=> @t65 @t474))) % 1.12/1.34 (define @t476 () (not @t435)) % 1.12/1.34 (define @t477 () (not @t437)) % 1.12/1.34 (define @t478 () (=> @t42 (= (tptp.hAPP @t370 @t12) @t24))) % 1.12/1.34 (define @t479 () (= @t16 @t29)) % 1.12/1.34 (define @t480 () (tptp.tc_fun @t11 @t73)) % 1.12/1.34 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq @t480 @t2 @t1)) % 1.12/1.34 (define @t482 () (tptp.class_Orderings_Oord @t73)) % 1.12/1.34 (define @t483 () (@list @t1 @t2 @t11 @t73)) % 1.12/1.34 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t59 @t60)) % 1.12/1.34 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t29 @t154)) % 1.12/1.34 (define @t486 () (tptp.class_Orderings_Oorder @t11)) % 1.12/1.34 (define @t487 () (= @t485 @t155)) % 1.12/1.34 (define @t488 () (@list @t29 @t154 @t11)) % 1.12/1.34 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t86)) % 1.12/1.34 (define @t490 () (tptp.class_Orderings_Oord @t11)) % 1.12/1.34 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t86 @t12)) % 1.12/1.34 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t59 @t135)) % 1.12/1.34 (define @t493 () (@list @t60 @t59 @t11)) % 1.12/1.34 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t135 @t59)) % 1.12/1.34 (define @t495 () (tptp.c_Orderings_Oord__class_Oless @t11 @t135 @t60)) % 1.12/1.34 (define @t496 () (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t135 @t59) @t495)) % 1.12/1.34 (define @t497 () (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t135)) % 1.12/1.34 (define @t498 () (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t59 @t135) @t497)) % 1.12/1.34 (define @t499 () (tptp.c_Orderings_Oord__class_Oless @t11 @t86 @t12)) % 1.12/1.34 (define @t500 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t86)) % 1.12/1.34 (define @t501 () (not (= @t59 @t60))) % 1.12/1.34 (define @t502 () (= @t213 @t155)) % 1.12/1.34 (define @t503 () (tptp.c_Orderings_Oord__class_Oless @t11 @t154 @t29)) % 1.12/1.34 (define @t504 () (=> @t428 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t467 @t466))) % 1.12/1.34 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t253 @t47)) % 1.12/1.34 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t444 @t48)) % 1.12/1.34 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t47 @t253)) % 1.12/1.34 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t48 @t444)) % 1.12/1.34 (define @t509 () (not @t131)) % 1.12/1.34 (define @t510 () (@var "B_q" $$unsorted)) % 1.12/1.34 (define @t511 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t510) @t3) @t127))) % 1.12/1.34 (define @t512 () (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t510) @t122)) % 1.12/1.34 (define @t513 () (@list @t510)) % 1.12/1.34 (define @t514 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t113)) % 1.12/1.34 (define @t515 () (@list @t59 @t60)) % 1.12/1.34 (define @t516 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t279 @t29) (tptp.hAPP (tptp.hAPP @t218 @t154) @t154))) % 1.12/1.34 (define @t517 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t243 @t60) (tptp.hAPP @t288 @t59))) % 1.12/1.34 (define @t518 () (@var "V_z2" $$unsorted)) % 1.12/1.34 (define @t519 () (tptp.hAPP @t305 @t518)) % 1.12/1.34 (define @t520 () (@var "V_z1" $$unsorted)) % 1.12/1.34 (define @t521 () (tptp.hAPP @t305 @t520)) % 1.12/1.34 (define @t522 () (@list @t134 @t518 @t520)) % 1.12/1.34 (define @t523 () (@var "V_z3" $$unsorted)) % 1.12/1.34 (define @t524 () (@list @t523 @t518 @t520)) % 1.12/1.34 (define @t525 () (tptp.hAPP @t305 @t135)) % 1.12/1.34 (define @t526 () (= @t29 @t33)) % 1.12/1.34 (define @t527 () (tptp.hAPP @t305 @t154)) % 1.12/1.34 (define @t528 () (tptp.hAPP @t305 @t29)) % 1.12/1.34 (define @t529 () (tptp.hAPP @t528 @t29)) % 1.12/1.34 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t60 @t59)) % 1.12/1.34 (define @t531 () (@list @t135 @t59 @t60)) % 1.12/1.34 (define @t532 () (tptp.hAPP @t305 @t247)) % 1.12/1.34 (define @t533 () (not (= @t247 @t33))) % 1.12/1.34 (define @t534 () (@list @t47 @t48 @t247)) % 1.12/1.34 (define @t535 () (@list @t310 @t11)) % 1.12/1.34 (define @t536 () (tptp.hAPP @t305 @t23)) % 1.12/1.34 (define @t537 () (@list @t135)) % 1.12/1.34 (define @t538 () (tptp.c_Polynomial_Osmult @t11 @t12 @t310)) % 1.12/1.34 (define @t539 () (@list @t310 @t150 @t12 @t11)) % 1.12/1.34 (define @t540 () (tptp.c_Polynomial_Osmult @t11 @t12 @t326)) % 1.12/1.34 (define @t541 () (@list @t310 @t12 @t150 @t11)) % 1.12/1.34 (define @t542 () (tptp.hAPP @t305 @t60)) % 1.12/1.34 (define @t543 () (tptp.hAPP @t542 @t59)) % 1.12/1.34 (define @t544 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t59)) % 1.12/1.34 (define @t545 () (tptp.hAPP @t527 @t277)) % 1.12/1.34 (define @t546 () (tptp.hAPP @t528 @t277)) % 1.12/1.34 (define @t547 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t277)) % 1.12/1.34 (define @t548 () (@list @t154 @t29 @t277)) % 1.12/1.34 (define @t549 () (@var "V_S" $$unsorted)) % 1.12/1.34 (define @t550 () (@var "V_R" $$unsorted)) % 1.12/1.34 (define @t551 () (tptp.hAPP @t305 @t277)) % 1.12/1.34 (define @t552 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t60)) % 1.12/1.34 (define @t553 () (tptp.hAPP @t305 @t552)) % 1.12/1.34 (define @t554 () (@list @t135 @t134)) % 1.12/1.34 (define @t555 () (@list @t439)) % 1.12/1.34 (define @t556 () (@var "V_x1" $$unsorted)) % 1.12/1.34 (define @t557 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t556)) % 1.12/1.34 (define @t558 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t305 @t556) @t59) (tptp.hAPP @t542 @t399))) % 1.12/1.34 (define @t559 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t556)) % 1.12/1.34 (define @t560 () (@list @t399 @t59 @t556 @t60)) % 1.12/1.34 (define @t561 () (@list @t29)) % 1.12/1.34 (define @t562 () (@var "V_n_2" $$unsorted)) % 1.12/1.34 (define @t563 () (= @t562 @t210)) % 1.12/1.34 (define @t564 () (@list @t562)) % 1.12/1.34 (define @t565 () (= @t439 @t210)) % 1.12/1.34 (define @t566 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t439)) % 1.12/1.34 (define @t567 () (@list @t439 @t216)) % 1.12/1.34 (define @t568 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.12/1.34 (define @t569 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.12/1.34 (define @t570 () (tptp.hAPP @t569 @t216)) % 1.12/1.34 (define @t571 () (tptp.hAPP @t570 @t439)) % 1.12/1.34 (define @t572 () (@var "V_k_2" $$unsorted)) % 1.12/1.34 (define @t573 () (= @t572 @t210)) % 1.12/1.34 (define @t574 () (@var "V_m_2" $$unsorted)) % 1.12/1.34 (define @t575 () (= @t574 @t562)) % 1.12/1.34 (define @t576 () (or @t575 @t573)) % 1.12/1.34 (define @t577 () (tptp.hAPP @t569 @t562)) % 1.12/1.34 (define @t578 () (tptp.hAPP @t577 @t572)) % 1.12/1.34 (define @t579 () (tptp.hAPP @t569 @t574)) % 1.12/1.34 (define @t580 () (tptp.hAPP @t579 @t572)) % 1.12/1.34 (define @t581 () (@list @t562 @t572 @t574)) % 1.12/1.34 (define @t582 () (tptp.hAPP @t569 @t572)) % 1.12/1.34 (define @t583 () (tptp.hAPP @t582 @t562)) % 1.12/1.34 (define @t584 () (tptp.hAPP @t582 @t574)) % 1.12/1.34 (define @t585 () (= @t584 @t583)) % 1.12/1.34 (define @t586 () (@list @t562 @t574 @t572)) % 1.12/1.34 (define @t587 () (= @t574 @t210)) % 1.12/1.34 (define @t588 () (tptp.hAPP @t579 @t562)) % 1.12/1.34 (define @t589 () (@list @t562 @t574)) % 1.12/1.34 (define @t590 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t574 @t562)) % 1.12/1.34 (define @t591 () (@list @t216)) % 1.12/1.34 (define @t592 () (@var "V_P_2" $$unsorted)) % 1.12/1.34 (define @t593 () (tptp.hAPP @t592 @t562)) % 1.12/1.34 (define @t594 () (tptp.hBOOL (tptp.hAPP @t593 @t574))) % 1.12/1.34 (define @t595 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t562 @t574)) % 1.12/1.34 (define @t596 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t574 @t562)) % 1.12/1.34 (define @t597 () (@var "V_t" $$unsorted)) % 1.12/1.34 (define @t598 () (= @t216 @t439)) % 1.12/1.34 (define @t599 () (not @t598)) % 1.12/1.34 (define @t600 () (@list @t216 @t439)) % 1.12/1.34 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t59)) % 1.12/1.34 (define @t602 () (not @t575)) % 1.12/1.34 (define @t603 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t142)) % 1.12/1.34 (define @t604 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t572 @t562)) % 1.12/1.34 (define @t605 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t572 @t574)) % 1.12/1.34 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t216)) % 1.12/1.34 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t142)) % 1.12/1.34 (define @t608 () (@list @t216 @t142 @t141)) % 1.12/1.34 (define @t609 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t142)) % 1.12/1.34 (define @t610 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t140)) % 1.12/1.34 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t140)) % 1.12/1.34 (define @t612 () (@var "V_l" $$unsorted)) % 1.12/1.34 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t612)) % 1.12/1.34 (define @t614 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 @t612)) % 1.12/1.34 (define @t615 () (@list @t612 @t140 @t142 @t141)) % 1.12/1.34 (define @t616 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t216 @t439)) % 1.12/1.34 (define @t617 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 @t439)) % 1.12/1.34 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t574 @t562)) % 1.12/1.34 (define @t619 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t562)) % 1.12/1.34 (define @t620 () (not @t563)) % 1.12/1.34 (define @t621 () (not @t565)) % 1.12/1.34 (define @t622 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t439)) % 1.12/1.34 (define @t623 () (tptp.hAPP @t569 @t140)) % 1.12/1.34 (define @t624 () (tptp.hAPP @t623 @t142)) % 1.12/1.34 (define @t625 () (tptp.hAPP @t623 @t141)) % 1.12/1.34 (define @t626 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t140)) % 1.12/1.34 (define @t627 () (tptp.hAPP @t569 @t142)) % 1.12/1.34 (define @t628 () (tptp.hAPP @t627 @t140)) % 1.12/1.34 (define @t629 () (tptp.hAPP @t569 @t141)) % 1.12/1.34 (define @t630 () (tptp.hAPP @t629 @t140)) % 1.12/1.34 (define @t631 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t572)) % 1.12/1.34 (define @t632 () (=> @t631 @t618)) % 1.12/1.34 (define @t633 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t584 @t583)) % 1.12/1.34 (define @t634 () (and @t631 @t596)) % 1.12/1.34 (define @t635 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t584 @t583)) % 1.12/1.34 (define @t636 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t574)) % 1.12/1.34 (define @t637 () (@var "B_K" $$unsorted)) % 1.12/1.34 (define @t638 () (tptp.hAPP (tptp.hAPP @t305 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t3)) @t637)) % 1.12/1.34 (define @t639 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t3 @t59)) @t638))) % 1.12/1.34 (define @t640 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t637)) % 1.12/1.34 (define @t641 () (@list @t637)) % 1.12/1.34 (define @t642 () (@var "B_b" $$unsorted)) % 1.12/1.34 (define @t643 () (@var "B_a" $$unsorted)) % 1.12/1.34 (define @t644 () (forall (@list @t643 @t642) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP (tptp.hAPP @t218 @t643) @t642)) (tptp.hAPP (tptp.hAPP @t305 (tptp.hAPP (tptp.hAPP @t305 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t643)) (tptp.c_RealVector_Onorm__class_Onorm @t11 @t642))) @t637)))) % 1.12/1.34 (define @t645 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP @t243 @t3)) @t638))) % 1.12/1.34 (define @t646 () (= @t562 @t568)) % 1.12/1.34 (define @t647 () (= @t574 @t568)) % 1.12/1.34 (define @t648 () (and @t647 @t646)) % 1.12/1.34 (define @t649 () (tptp.hAPP @t569 @t439)) % 1.12/1.34 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t439)) % 1.12/1.34 (define @t651 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t140) @t439)) % 1.12/1.34 (define @t652 () (@list @t439 @t140 @t216)) % 1.12/1.34 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t612)) % 1.12/1.34 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t142)) % 1.12/1.34 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t216)) % 1.12/1.34 (define @t656 () (@var "B_k" $$unsorted)) % 1.12/1.34 (define @t657 () (@list @t656)) % 1.12/1.34 (define @t658 () (@var "B_n" $$unsorted)) % 1.12/1.34 (define @t659 () (@var "V_l_2" $$unsorted)) % 1.12/1.34 (define @t660 () (@list @t658)) % 1.12/1.34 (define @t661 () (tptp.hAPP @t570 @t216)) % 1.12/1.34 (define @t662 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t439 @t216)) % 1.12/1.34 (define @t663 () (tptp.hAPP @t649 @t216)) % 1.12/1.34 (define @t664 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t59 @t135)) % 1.12/1.34 (define @t665 () (tptp.hAPP @t623 @t439)) % 1.12/1.34 (define @t666 () (tptp.hAPP @t623 @t216)) % 1.12/1.34 (define @t667 () (@list @t439 @t216 @t140)) % 1.12/1.34 (define @t668 () (@list @t140 @t439 @t216)) % 1.12/1.34 (define @t669 () (tptp.hAPP @t649 @t140)) % 1.12/1.34 (define @t670 () (tptp.hAPP @t570 @t140)) % 1.12/1.34 (define @t671 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t562 @t572)) % 1.12/1.34 (define @t672 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP (tptp.hAPP @t218 @t3) @t59)) @t638))) % 1.12/1.34 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t664)) % 1.12/1.34 (define @t674 () (@list @t59 @t135 @t60)) % 1.12/1.34 (define @t675 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t59)) % 1.12/1.34 (define @t676 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t664)) % 1.12/1.34 (define @t677 () (@var "B_m" $$unsorted)) % 1.12/1.34 (define @t678 () (@var "V_X_2" $$unsorted)) % 1.12/1.34 (define @t679 () (tptp.hAPP @t678 @t677)) % 1.12/1.34 (define @t680 () (tptp.hAPP @t678 @t658)) % 1.12/1.34 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t677 @t658)) % 1.12/1.34 (define @t682 () (@list @t677 @t658)) % 1.12/1.34 (define @t683 () (@list @t678 @t11)) % 1.12/1.34 (define @t684 () (@var "B_i" $$unsorted)) % 1.12/1.34 (define @t685 () (tptp.hAPP @t592 @t684)) % 1.12/1.34 (define @t686 () (tptp.hBOOL @t685)) % 1.12/1.34 (define @t687 () (@list @t684)) % 1.12/1.34 (define @t688 () (tptp.hBOOL @t593)) % 1.12/1.34 (define @t689 () (tptp.hBOOL (tptp.hAPP @t592 @t210))) % 1.12/1.34 (define @t690 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t637)) % 1.12/1.34 (define @t691 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t680)) % 1.12/1.34 (define @t692 () (exists @t641 (and @t640 (forall @t660 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t691 @t637))))) % 1.12/1.34 (define @t693 () (tptp.c_SEQ_OBseq @t11 @t678)) % 1.12/1.34 (define @t694 () (tptp.c_RComplete_Onatceiling @t60)) % 1.12/1.34 (define @t695 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t60 @t23)) % 1.12/1.34 (define @t696 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t60)) % 1.12/1.34 (define @t697 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t60 @t33)) % 1.12/1.34 (define @t698 () (tptp.c_RComplete_Onatceiling @t29)) % 1.12/1.34 (define @t699 () (tptp.c_RComplete_Onatfloor @t60)) % 1.12/1.34 (define @t700 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t439)) % 1.12/1.34 (define @t701 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t700 @t23)) % 1.12/1.34 (define @t702 () (@list @t60 @t439)) % 1.12/1.34 (define @t703 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t699)) % 1.12/1.34 (define @t704 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t48)) % 1.12/1.34 (define @t705 () (tptp.c_RComplete_Onatfloor @t29)) % 1.12/1.34 (define @t706 () (@list @t48 @t29)) % 1.12/1.34 (define @t707 () (tptp.c_RComplete_Onatfloor @t12)) % 1.12/1.34 (define @t708 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t60)) % 1.12/1.34 (define @t709 () (@list @t12 @t60)) % 1.12/1.34 (define @t710 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t574)) % 1.12/1.34 (define @t711 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t562)) % 1.12/1.34 (define @t712 () (@list @t574 @t562)) % 1.12/1.34 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t562 @t574)) % 1.12/1.34 (define @t714 () (@list @t439 @t60)) % 1.12/1.34 (define @t715 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t216)) % 1.12/1.34 (define @t716 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t12)) % 1.12/1.34 (define @t717 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t60 @t716)) % 1.12/1.34 (define @t718 () (@list @t439 @t135)) % 1.12/1.34 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t23 @t29)) % 1.12/1.34 (define @t720 () (@list @t10 @t12)) % 1.12/1.34 (define @t721 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t23 @t60)) % 1.12/1.34 (define @t722 () (@var "V_K_2" $$unsorted)) % 1.12/1.34 (define @t723 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t691 @t722)) % 1.12/1.34 (define @t724 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.34 (define @t725 () (tptp.hAPP @t305 @t700)) % 1.12/1.34 (define @t726 () (tptp.c_Power_Opower__class_Opower @t11)) % 1.12/1.34 (define @t727 () (tptp.hAPP @t726 @t60)) % 1.12/1.34 (define @t728 () (tptp.hAPP @t726 @t59)) % 1.12/1.34 (define @t729 () (tptp.hAPP @t727 @t310)) % 1.12/1.34 (define @t730 () (tptp.hAPP (tptp.hAPP @t724 @t74) @t439)) % 1.12/1.34 (define @t731 () (tptp.hAPP @t727 @t439)) % 1.12/1.34 (define @t732 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t731)) % 1.12/1.34 (define @t733 () (@list @t439 @t60 @t11)) % 1.12/1.34 (define @t734 () (tptp.hAPP @t727 @t150)) % 1.12/1.34 (define @t735 () (@list @t310 @t150 @t60 @t11)) % 1.12/1.34 (define @t736 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t216 @t439)) % 1.12/1.34 (define @t737 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t666 @t665)) % 1.12/1.34 (define @t738 () (= @t737 @t736)) % 1.12/1.34 (define @t739 () (= @t140 @t210)) % 1.12/1.34 (define @t740 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t700 @t708)) % 1.12/1.34 (define @t741 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t439 @t60))) % 1.12/1.34 (define @t742 () (tptp.hAPP (tptp.hAPP @t726 @t10) @t439)) % 1.12/1.34 (define @t743 () (tptp.hAPP @t726 @t12)) % 1.12/1.34 (define @t744 () (tptp.hAPP @t743 @t439)) % 1.12/1.34 (define @t745 () (tptp.c_Orderings_Oord__class_Oless @t11 @t744 @t742)) % 1.12/1.34 (define @t746 () (@list @t439 @t10 @t12 @t11)) % 1.12/1.34 (define @t747 () (@var "B_j" $$unsorted)) % 1.12/1.34 (define @t748 () (= @t562 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t582 @t684) @t747))) % 1.12/1.34 (define @t749 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t747 @t572)) % 1.12/1.34 (define @t750 () (@list @t684 @t747)) % 1.12/1.34 (define @t751 () (not @t573)) % 1.12/1.34 (define @t752 () (@list @t572 @t562 @t592)) % 1.12/1.34 (define @t753 () (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t12)) % 1.12/1.34 (define @t754 () (@list @t439 @t12 @t11)) % 1.12/1.34 (define @t755 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.12/1.34 (define @t756 () (tptp.hAPP @t755 @t60)) % 1.12/1.34 (define @t757 () (tptp.hAPP @t756 @t59)) % 1.12/1.34 (define @t758 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.12/1.34 (define @t759 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t29)) % 1.12/1.34 (define @t760 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.12/1.34 (define @t761 () (tptp.hAPP @t760 @t29)) % 1.12/1.34 (define @t762 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 (tptp.hAPP @t761 @t562))) % 1.12/1.34 (define @t763 () (@list @t562 @t29)) % 1.12/1.34 (define @t764 () (tptp.hAPP @t760 @t141)) % 1.12/1.34 (define @t765 () (tptp.hAPP @t764 @t439)) % 1.12/1.34 (define @t766 () (tptp.hAPP @t764 @t216)) % 1.12/1.34 (define @t767 () (@list @t439 @t216 @t141)) % 1.12/1.34 (define @t768 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t760 @t216) @t439))) % 1.12/1.34 (define @t769 () (tptp.hAPP (tptp.hAPP @t724 @t715) @t439)) % 1.12/1.34 (define @t770 () (tptp.hAPP (tptp.hAPP @t724 @t60) @t439)) % 1.12/1.34 (define @t771 () (tptp.hAPP @t221 @t744)) % 1.12/1.34 (define @t772 () (tptp.hAPP @t218 @t744)) % 1.12/1.34 (define @t773 () (@list @t439 @t11)) % 1.12/1.34 (define @t774 () (tptp.class_Divides_Osemiring__div @t11)) % 1.12/1.34 (define @t775 () (= (tptp.hAPP (tptp.hAPP @t726 @t14) @t439) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t744 @t742))) % 1.12/1.34 (define @t776 () (tptp.hAPP @t743 @t216)) % 1.12/1.34 (define @t777 () (@list @t439 @t216 @t12 @t11)) % 1.12/1.34 (define @t778 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t744) (tptp.hAPP (tptp.hAPP @t726 @t128) @t439))) % 1.12/1.34 (define @t779 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t12 @t10)) % 1.12/1.34 (define @t780 () (tptp.hAPP @t569 @t10)) % 1.12/1.34 (define @t781 () (tptp.hAPP @t780 @t86)) % 1.12/1.34 (define @t782 () (@list @t86 @t10 @t12)) % 1.12/1.34 (define @t783 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t12)) % 1.12/1.34 (define @t784 () (tptp.hAPP @t726 @t48)) % 1.12/1.34 (define @t785 () (tptp.hAPP @t784 @t562)) % 1.12/1.34 (define @t786 () (tptp.class_Power_Opower @t11)) % 1.12/1.34 (define @t787 () (@list @t562 @t48 @t11)) % 1.12/1.34 (define @t788 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t12 @t10)) % 1.12/1.34 (define @t789 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t419 @t418)) % 1.12/1.34 (define @t790 () (=> @t441 (= @t789 @t788))) % 1.12/1.34 (define @t791 () (@list @t10 @t439 @t12 @t11)) % 1.12/1.34 (define @t792 () (tptp.hAPP (tptp.hAPP @t726 @t16) @t439)) % 1.12/1.34 (define @t793 () (tptp.class_Rings_Osemiring__0 @t11)) % 1.12/1.34 (define @t794 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t86 @t788)) % 1.12/1.34 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t418)) % 1.12/1.34 (define @t796 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t258)) % 1.12/1.34 (define @t797 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t788 @t24)) % 1.12/1.34 (define @t798 () (tptp.hAPP @t726 @t47)) % 1.12/1.34 (define @t799 () (tptp.hAPP @t798 @t154)) % 1.12/1.34 (define @t800 () (tptp.hAPP @t798 @t29)) % 1.12/1.34 (define @t801 () (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t47)) % 1.12/1.34 (define @t802 () (@list @t154 @t29 @t47 @t11)) % 1.12/1.34 (define @t803 () (@var "V_N" $$unsorted)) % 1.12/1.34 (define @t804 () (tptp.hAPP @t743 @t803)) % 1.12/1.34 (define @t805 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t803)) % 1.12/1.34 (define @t806 () (@list @t12 @t803 @t439 @t11)) % 1.12/1.34 (define @t807 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t803)) % 1.12/1.34 (define @t808 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t216)) % 1.12/1.34 (define @t809 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t810 () (tptp.hAPP @t758 @t572)) % 1.12/1.34 (define @t811 () (= @t562 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t810 @t684) @t747))) % 1.12/1.34 (define @t812 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.12/1.34 (define @t813 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t747) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t747 @t812) @t811)) % 1.12/1.34 (define @t814 () (@list @t747)) % 1.12/1.34 (define @t815 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t812)) % 1.12/1.34 (define @t816 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t747) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t747 @t572) @t811)) % 1.12/1.34 (define @t817 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t572)) % 1.12/1.34 (define @t818 () (= @t572 @t812)) % 1.12/1.34 (define @t819 () (tptp.hAPP @t592 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t562 @t572))) % 1.12/1.34 (define @t820 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t12 @t10)) % 1.12/1.34 (define @t821 () (tptp.hAPP @t758 @t10)) % 1.12/1.34 (define @t822 () (tptp.hAPP @t821 @t86)) % 1.12/1.34 (define @t823 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t86)) % 1.12/1.34 (define @t824 () (@list @t10 @t12 @t86)) % 1.12/1.34 (define @t825 () (@var "V_b_1" $$unsorted)) % 1.12/1.34 (define @t826 () (@var "V_a_1" $$unsorted)) % 1.12/1.34 (define @t827 () (not (= @t825 @t812))) % 1.12/1.34 (define @t828 () (@var "V_r_1" $$unsorted)) % 1.12/1.34 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t825)) % 1.12/1.34 (define @t830 () (not @t829)) % 1.12/1.34 (define @t831 () (tptp.hAPP @t758 @t825)) % 1.12/1.34 (define @t832 () (@var "V_q_H" $$unsorted)) % 1.12/1.34 (define @t833 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t832 @t310)) % 1.12/1.34 (define @t834 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t303 @t10)) % 1.12/1.34 (define @t835 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t303)) % 1.12/1.34 (define @t836 () (@var "V_r_H" $$unsorted)) % 1.12/1.34 (define @t837 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t836)) % 1.12/1.34 (define @t838 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t207 @t10)) % 1.12/1.34 (define @t839 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t758 @t303) @t832) @t836)) % 1.12/1.34 (define @t840 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t812)) % 1.12/1.34 (define @t841 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t821 @t310) @t207)) % 1.12/1.34 (define @t842 () (= @t841 @t839)) % 1.12/1.34 (define @t843 () (@list @t836 @t832 @t303 @t207 @t310 @t10)) % 1.12/1.34 (define @t844 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t310 @t832)) % 1.12/1.34 (define @t845 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t10 @t207)) % 1.12/1.34 (define @t846 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t207 @t812)) % 1.12/1.34 (define @t847 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t821 @t832) @t836) @t841)) % 1.12/1.34 (define @t848 () (@list @t207 @t310 @t836 @t832 @t10)) % 1.12/1.34 (define @t849 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t207)) % 1.12/1.34 (define @t850 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t836 @t303)) % 1.12/1.34 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t839)) % 1.12/1.34 (define @t852 () (@list @t836 @t832 @t303)) % 1.12/1.34 (define @t853 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.12/1.34 (define @t854 () (tptp.hAPP @t758 @t12)) % 1.12/1.34 (define @t855 () (= @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t207 (tptp.hAPP @t854 @t310)))) % 1.12/1.34 (define @t856 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t12)) % 1.12/1.34 (define @t857 () (@list @t310 @t207 @t12)) % 1.12/1.34 (define @t858 () (tptp.hAPP @t758 @t140)) % 1.12/1.34 (define @t859 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t141 @t142)) % 1.12/1.34 (define @t860 () (tptp.hAPP @t758 @t518)) % 1.12/1.34 (define @t861 () (tptp.hAPP @t758 @t520)) % 1.12/1.34 (define @t862 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t520 @t518)) % 1.12/1.34 (define @t863 () (tptp.hAPP @t758 @t134)) % 1.12/1.34 (define @t864 () (tptp.hAPP @t758 @t135)) % 1.12/1.34 (define @t865 () (tptp.c_Divides_Odiv__class_Odiv @t96 @t60 @t59)) % 1.12/1.34 (define @t866 () (tptp.c_Polynomial_Osmult @t11 @t12 @t60)) % 1.12/1.34 (define @t867 () (@list @t59 @t60 @t12 @t11)) % 1.12/1.34 (define @t868 () (tptp.hAPP @t324 @t59)) % 1.12/1.34 (define @t869 () (tptp.hAPP @t868 @t135)) % 1.12/1.34 (define @t870 () (@var "V_one_2" $$unsorted)) % 1.12/1.34 (define @t871 () (@var "V_times_2" $$unsorted)) % 1.12/1.34 (define @t872 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t11 @t870 @t871) @t48)) % 1.12/1.34 (define @t873 () (tptp.c_Polynomial_Osmult @t11 @t12 @t59)) % 1.12/1.34 (define @t874 () (tptp.class_Rings_Ocomm__ring__1 @t11)) % 1.12/1.34 (define @t875 () (@var "B_r" $$unsorted)) % 1.12/1.34 (define @t876 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t12)) % 1.12/1.34 (define @t877 () (@list @t12 @t439)) % 1.12/1.34 (define @t878 () (@var "V_i_2" $$unsorted)) % 1.12/1.34 (define @t879 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t878 @t572)) % 1.12/1.34 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t48)) % 1.12/1.34 (define @t881 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t48 @t47)) % 1.12/1.34 (define @t882 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t881)) % 1.12/1.34 (define @t883 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t47)) % 1.12/1.34 (define @t884 () (@list @t48 @t47)) % 1.12/1.34 (define @t885 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t12 @t303)) % 1.12/1.34 (define @t886 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t12)) % 1.12/1.34 (define @t887 () (@list @t10 @t303 @t12)) % 1.12/1.34 (define @t888 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t820 @t812)) % 1.12/1.34 (define @t889 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t10 @t812)) % 1.12/1.34 (define @t890 () (= @t820 @t812)) % 1.12/1.34 (define @t891 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t10)) % 1.12/1.34 (define @t892 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t47 @t812)) % 1.12/1.34 (define @t893 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t10)) % 1.12/1.34 (define @t894 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t12 @t812)) % 1.12/1.34 (define @t895 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t812)) % 1.12/1.34 (define @t896 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t10 @t12)) % 1.12/1.34 (define @t897 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t294 @t10)) % 1.12/1.34 (define @t898 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t12 @t294)) % 1.12/1.34 (define @t899 () (@list @t10 @t294 @t12)) % 1.12/1.34 (define @t900 () (@list @t12)) % 1.12/1.34 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t59)) % 1.12/1.34 (define @t902 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t60)) % 1.12/1.34 (define @t903 () (@list @t10)) % 1.12/1.34 (define @t904 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t881 @t812)) % 1.12/1.34 (define @t905 () (tptp.c_Polynomial_Omonom @t11 @t48 @t562)) % 1.12/1.34 (define @t906 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t853 @t135)) % 1.12/1.34 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t134 @t135)) % 1.12/1.34 (define @t908 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t135 @t134)) % 1.12/1.34 (define @t909 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t141 @t142)) % 1.12/1.34 (define @t910 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t135)) % 1.12/1.34 (define @t911 () (@var "V_z_H" $$unsorted)) % 1.12/1.34 (define @t912 () (@var "V_w_H" $$unsorted)) % 1.12/1.34 (define @t913 () (@list @t277)) % 1.12/1.34 (define @t914 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t278 @t277)) % 1.12/1.34 (define @t915 () (@list @t277 @t278)) % 1.12/1.34 (define @t916 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t278 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t277 @t853))) % 1.12/1.34 (define @t917 () (tptp.c_Polynomial_Omonom @t11 @t10 @t439)) % 1.12/1.34 (define @t918 () (tptp.c_Polynomial_Omonom @t11 @t12 @t439)) % 1.12/1.34 (define @t919 () (@var "V_r2" $$unsorted)) % 1.12/1.34 (define @t920 () (@var "V_r1" $$unsorted)) % 1.12/1.34 (define @t921 () (tptp.c_Transcendental_Oln @t60)) % 1.12/1.34 (define @t922 () (tptp.c_Transcendental_Oln @t154)) % 1.12/1.34 (define @t923 () (tptp.c_Transcendental_Oln @t29)) % 1.12/1.34 (define @t924 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t154)) % 1.12/1.34 (define @t925 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t29)) % 1.12/1.34 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t921)) % 1.12/1.34 (define @t927 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t921)) % 1.12/1.34 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t23 @t60)) % 1.12/1.34 (define @t929 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t223)) % 1.12/1.34 (define @t930 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t223)) % 1.12/1.34 (define @t931 () (tptp.hBOOL (tptp.hAPP @t685 @t747))) % 1.12/1.34 (define @t932 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t562 @t572)) % 1.12/1.34 (define @t933 () (tptp.hBOOL (tptp.hAPP @t819 @t932))) % 1.12/1.34 (define @t934 () (@list @t562 @t592 @t572)) % 1.12/1.34 (define @t935 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t10 @t86)) % 1.12/1.34 (define @t936 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t10 @t86)) % 1.12/1.34 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t10)) % 1.12/1.34 (define @t938 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t10)) % 1.12/1.34 (define @t939 () (@list @t250 @t574)) % 1.12/1.34 (define @t940 () (tptp.c_Divides_Odiv__class_Omod @t11 @t12 @t10)) % 1.12/1.34 (define @t941 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t216 @t439)) % 1.12/1.34 (define @t942 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t10 @t86)) % 1.12/1.34 (define @t943 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t10 @t86)) % 1.12/1.34 (define @t944 () (tptp.c_Divides_Odiv__class_Omod @t11 @t255 @t86)) % 1.12/1.34 (define @t945 () (tptp.c_Divides_Odiv__class_Omod @t11 @t10 @t86)) % 1.12/1.34 (define @t946 () (= @t945 (tptp.c_Divides_Odiv__class_Omod @t11 @t303 @t86))) % 1.12/1.34 (define @t947 () (tptp.c_Divides_Odiv__class_Omod @t11 @t12 @t86)) % 1.12/1.34 (define @t948 () (= @t947 (tptp.c_Divides_Odiv__class_Omod @t11 @t294 @t86))) % 1.12/1.34 (define @t949 () (@list @t303 @t10 @t294 @t86 @t12 @t11)) % 1.12/1.34 (define @t950 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t947 @t10) @t86)) % 1.12/1.34 (define @t951 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t945) @t86)) % 1.12/1.34 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t216)) % 1.12/1.34 (define @t953 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t10 @t938)) % 1.12/1.34 (define @t954 () (@list @t12 @t10)) % 1.12/1.34 (define @t955 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t938 @t10)) % 1.12/1.34 (define @t956 () (tptp.c_Divides_Odiv__class_Omod @t11 @t230 @t86)) % 1.12/1.34 (define @t957 () (tptp.hAPP @t218 @t947)) % 1.12/1.34 (define @t958 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t957 @t10) @t86)) % 1.12/1.34 (define @t959 () (tptp.hAPP @t854 @t10)) % 1.12/1.34 (define @t960 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t959 @t86)) % 1.12/1.34 (define @t961 () (tptp.hAPP @t854 @t935)) % 1.12/1.34 (define @t962 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t961 @t86)) % 1.12/1.34 (define @t963 () (tptp.hAPP (tptp.hAPP @t218 @t788) @t10)) % 1.12/1.34 (define @t964 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t228 @t788) @t940)) % 1.12/1.34 (define @t965 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t963 @t940)) % 1.12/1.34 (define @t966 () (= @t938 @t12)) % 1.12/1.34 (define @t967 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t938 @t812)) % 1.12/1.34 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t938)) % 1.12/1.34 (define @t969 () (tptp.hAPP @t569 @t12)) % 1.12/1.34 (define @t970 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t821 @t820) @t938)) % 1.12/1.34 (define @t971 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t140)) % 1.12/1.34 (define @t972 () (tptp.hBOOL (tptp.hAPP @t592 @t747))) % 1.12/1.34 (define @t973 () (@list @t310 @t10 @t207 @t86)) % 1.12/1.34 (define @t974 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t821 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t310 @t86)) @t207)) % 1.12/1.34 (define @t975 () (@list @t310 @t207 @t10 @t86)) % 1.12/1.34 (define @t976 () (@var "V_q_1" $$unsorted)) % 1.12/1.34 (define @t977 () (tptp.c_Divides_Odiv__class_Omod @t96 @t60 @t59)) % 1.12/1.34 (define @t978 () (@var "V_N_2" $$unsorted)) % 1.12/1.34 (define @t979 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t10)) % 1.12/1.34 (define @t980 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t48 @t47)) % 1.12/1.34 (define @t981 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t140 @t216)) % 1.12/1.34 (define @t982 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t140 @t439)) % 1.12/1.34 (define @t983 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t140 (tptp.c_Divides_Odiv__class_Omod @t11 @t216 @t439))) % 1.12/1.34 (define @t984 () (@list @t439 @t216 @t140 @t11)) % 1.12/1.34 (define @t985 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t86 @t10)) % 1.12/1.34 (define @t986 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t47 @t48)) % 1.12/1.34 (define @t987 () (not @t152)) % 1.12/1.34 (define @t988 () (or @t446 @t980)) % 1.12/1.34 (define @t989 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t10 @t12)) % 1.12/1.34 (define @t990 () (tptp.hAPP @t218 @t989)) % 1.12/1.34 (define @t991 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t60 @t59)) % 1.12/1.34 (define @t992 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t59 @t60)) % 1.12/1.34 (define @t993 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t60 @t59)) % 1.12/1.34 (define @t994 () (tptp.hAPP @t728 @t439)) % 1.12/1.34 (define @t995 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t439 @t216)) % 1.12/1.34 (define @t996 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t86)) % 1.12/1.34 (define @t997 () (@list @t574)) % 1.12/1.34 (define @t998 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t574 @t562)) % 1.12/1.34 (define @t999 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t584 @t583)) % 1.12/1.34 (define @t1000 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t10 @t86)) % 1.12/1.34 (define @t1001 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t59)) % 1.12/1.34 (define @t1002 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t59 @t60)) % 1.12/1.34 (define @t1003 () (and @t1001 (not @t1002))) % 1.12/1.34 (define @t1004 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t135)) % 1.12/1.34 (define @t1005 () (and @t1004 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t135 @t60)))) % 1.12/1.34 (define @t1006 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t59 @t135)) % 1.12/1.34 (define @t1007 () (=> (and @t1006 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t135 @t59))) @t1005)) % 1.12/1.34 (define @t1008 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t10)) % 1.12/1.34 (define @t1009 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t10 @t12)) % 1.12/1.34 (define @t1010 () (and @t1008 (not @t1009))) % 1.12/1.34 (define @t1011 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t86)) % 1.12/1.34 (define @t1012 () (and @t1011 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t86 @t12)))) % 1.12/1.34 (define @t1013 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t10 @t86)) % 1.12/1.34 (define @t1014 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t216 @t439)) % 1.12/1.34 (define @t1015 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t29 @t154)) % 1.12/1.34 (define @t1016 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t154 @t29)) % 1.12/1.34 (define @t1017 () (and @t1015 (not @t1016))) % 1.12/1.34 (define @t1018 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t258)) % 1.12/1.34 (define @t1019 () (tptp.class_Rings_Odvd @t11)) % 1.12/1.34 (define @t1020 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t230 @t86)) % 1.12/1.34 (define @t1021 () (tptp.hBOOL (tptp.hAPP @t592 @t3))) % 1.12/1.34 (define @t1022 () (@list @t10 @t439 @t12)) % 1.12/1.34 (define @t1023 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t216 @t439)) % 1.12/1.34 (define @t1024 () (@var "V_f" $$unsorted)) % 1.12/1.34 (define @t1025 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t439 @t216)) % 1.12/1.34 (define @t1026 () (@list @t47 @t48 @t562)) % 1.12/1.34 (define @t1027 () (@var "V_t_2" $$unsorted)) % 1.12/1.34 (define @t1028 () (tptp.hAPP @t810 @t574)) % 1.12/1.34 (define @t1029 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t216 @t439)) % 1.12/1.34 (define @t1030 () (tptp.c_Rings_Odvd__class_Odvd @t96 @t150 @t310)) % 1.12/1.34 (define @t1031 () (tptp.c_Rings_Odvd__class_Odvd @t96 @t150 @t538)) % 1.12/1.34 (define @t1032 () (tptp.c_Rings_Odvd__class_Odvd @t96 @t322 @t310)) % 1.12/1.34 (define @t1033 () (@list @t12 @t310 @t150 @t11)) % 1.12/1.34 (define @t1034 () (tptp.c_Rings_Odvd__class_Odvd @t96 @t113 @t119)) % 1.12/1.34 (define @t1035 () (@list @t119 @t113 @t48 @t11)) % 1.12/1.34 (define @t1036 () (tptp.c_Nat_OSuc @t439)) % 1.12/1.34 (define @t1037 () (tptp.c_Nat_OSuc @t216)) % 1.12/1.34 (define @t1038 () (tptp.c_Nat_OSuc @t210)) % 1.12/1.34 (define @t1039 () (@var "V_D_2" $$unsorted)) % 1.12/1.34 (define @t1040 () (tptp.c_Nat_OSuc @t941)) % 1.12/1.34 (define @t1041 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1037 @t439)) % 1.12/1.34 (define @t1042 () (= @t1040 @t439)) % 1.12/1.34 (define @t1043 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t12 @t10) @t86)) % 1.12/1.34 (define @t1044 () (tptp.class_Divides_Oring__div @t11)) % 1.12/1.34 (define @t1045 () (tptp.hAPP @t569 (tptp.c_Nat_OSuc @t572))) % 1.12/1.34 (define @t1046 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t60 @t59)) % 1.12/1.34 (define @t1047 () (@var "T_1" $$unsorted)) % 1.12/1.34 (define @t1048 () (tptp.tc_Polynomial_Opoly @t1047)) % 1.12/1.34 (define @t1049 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1047)) % 1.12/1.34 (define @t1050 () (@list @t1047)) % 1.12/1.34 (define @t1051 () (@var "T_2" $$unsorted)) % 1.12/1.34 (define @t1052 () (tptp.tc_fun @t1051 @t1047)) % 1.12/1.34 (define @t1053 () (@list @t1051 @t1047)) % 1.12/1.34 (define @t1054 () (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.12/1.34 (define @t1055 () (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t1056 () (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t1057 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.12/1.34 (define @t1058 () (tptp.class_Rings_Oidom @t1047)) % 1.12/1.34 (define @t1059 () (tptp.class_Rings_Olinordered__idom @t1047)) % 1.12/1.34 (define @t1060 () (tptp.class_Rings_Ocomm__semiring__0 @t1047)) % 1.12/1.34 (define @t1061 () (tptp.class_Rings_Ocomm__semiring__1 @t1047)) % 1.12/1.34 (define @t1062 () (tptp.class_Groups_Ocomm__monoid__add @t1047)) % 1.12/1.34 (define @t1063 () (tptp.class_Fields_Ofield @t1047)) % 1.12/1.34 (define @t1064 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t101)) % 1.12/1.34 (define @t1065 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1064 @t111)) % 1.12/1.34 (define @t1066 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t1064 @t111) @t23)) % 1.12/1.34 (define @t1067 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t124)) % 1.12/1.34 (define @t1068 () (not @t1056)) % 1.12/1.34 (define @t1069 () (or @t1068 (= @t1067 @t23))) % 1.12/1.34 (define @t1070 () (forall @t27 (or (not @t26) @t25))) % 1.12/1.34 (define @t1071 () (= @t23 @t1067)) % 1.12/1.34 (define @t1072 () (or @t1068 @t1071)) % 1.12/1.34 (define @t1073 () (@list false)) % 1.12/1.34 (define @t1074 () (@list false false)) % 1.12/1.34 (define @t1075 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t205)) % 1.12/1.34 (define @t1076 () (= @t1075 (tptp.hAPP (tptp.hAPP @t305 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t125)) @t111))) % 1.12/1.34 (define @t1077 () (not @t1055)) % 1.12/1.34 (define @t1078 () (or @t1077 @t1076)) % 1.12/1.34 (define @t1079 () (not @t65)) % 1.12/1.34 (define @t1080 () (= @t34 (not @t479))) % 1.12/1.34 (define @t1081 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t111)) % 1.12/1.34 (define @t1082 () (= @t7 @t9)) % 1.12/1.34 (define @t1083 () (not @t1082)) % 1.12/1.34 (define @t1084 () (not @t1057)) % 1.12/1.34 (define @t1085 () (or @t1084 (= @t1081 @t1083))) % 1.12/1.34 (define @t1086 () (forall @t38 (or (not @t36) @t1080))) % 1.12/1.34 (define @t1087 () (= @t1083 @t1081)) % 1.12/1.34 (define @t1088 () (or @t1084 @t1087)) % 1.12/1.34 (define @t1089 () (not @t1087)) % 1.12/1.34 (define @t1090 () (tptp.hAPP @t536 @t111)) % 1.12/1.34 (define @t1091 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1064 @t1090)) % 1.12/1.34 (define @t1092 () (= @t1066 @t1091)) % 1.12/1.34 (define @t1093 () (not @t1081)) % 1.12/1.34 (define @t1094 () (not @t1054)) % 1.12/1.34 (define @t1095 () (or @t1094 @t1093 @t1092)) % 1.12/1.34 (define @t1096 () (not @t1092)) % 1.12/1.34 (define @t1097 () (not @t1091)) % 1.12/1.34 (define @t1098 () (and @t126 @t206 @t1065 @t1071 @t1076)) % 1.12/1.34 (define @t1099 () (not @t1076)) % 1.12/1.34 (define @t1100 () (not @t1071)) % 1.12/1.34 (define @t1101 () (not @t1065)) % 1.12/1.34 (define @t1102 () (not @t206)) % 1.12/1.34 (define @t1103 () (not @t126)) % 1.12/1.34 (define @t1104 () (and @t126 @t206 @t1101 @t1071 @t1076)) % 1.12/1.34 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.12/1.34 (assume @p2 (not (= @t9 @t7))) % 1.12/1.34 (assume @p3 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)))) % 1.12/1.34 (assume @p4 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t8))) % 1.12/1.34 (assume @p5 (forall @t20 (=> @t19 (=> @t18 @t15)))) % 1.12/1.34 (assume @p6 (forall @t22 (=> (and @t21 @t19) @t15))) % 1.12/1.34 (assume @p7 @t28) % 1.12/1.34 (assume @p8 @t39) % 1.12/1.34 (assume @p9 (forall @t45 (=> @t44 (and (=> @t41 (= @t40 @t16)) @t43)))) % 1.12/1.34 (assume @p10 (forall @t45 (=> @t46 @t43))) % 1.12/1.34 (assume @p11 (forall @t52 (=> @t46 (=> (not @t51) (= (= @t50 @t24) @t49))))) % 1.12/1.34 (assume @p12 (forall @t58 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t50) (or (and @t56 @t55) (and @t54 @t53)))))) % 1.12/1.34 (assume @p13 (forall @t58 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t50 @t16) (or (and @t56 @t53) (and @t54 @t55)))))) % 1.12/1.34 (assume @p14 (forall @t66 (=> @t65 (=> @t64 (=> @t63 @t62))))) % 1.12/1.34 (assume @p15 (forall @t66 (=> @t65 (=> @t64 (=> @t68 @t67))))) % 1.12/1.34 (assume @p16 (forall @t66 (=> @t65 (=> @t69 (=> @t63 @t67))))) % 1.12/1.34 (assume @p17 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t70))) % 1.12/1.34 (assume @p18 (forall (@list @t2 @t73 @t11) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t11 @t73 @t2) (forall @t72 (= @t5 (tptp.hAPP @t2 @t71)))))) % 1.12/1.34 (assume @p19 (forall @t75 (=> @t36 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t33))))) % 1.12/1.34 (assume @p20 (forall @t66 (=> @t82 @t81))) % 1.12/1.34 (assume @p21 (forall @t27 (=> @t83 (not (= @t16 @t24))))) % 1.12/1.34 (assume @p22 (forall @t27 (=> @t83 (not (= @t24 @t16))))) % 1.12/1.34 (assume @p23 (forall @t45 (=> @t44 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t16) @t16)))) % 1.12/1.34 (assume @p24 (forall @t84 (=> @t19 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t59) @t16)))) % 1.12/1.34 (assume @p25 (forall @t45 (=> @t46 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t16 @t12) @t16)))) % 1.12/1.34 (assume @p26 (forall @t38 (=> @t36 (= (= @t32 @t33) @t30)))) % 1.12/1.34 (assume @p27 (forall @t27 (=> @t36 (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t16) @t33)))) % 1.12/1.34 (assume @p28 (forall @t45 (=> @t46 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t24) @t12)))) % 1.12/1.34 (assume @p29 (forall @t27 (=> @t85 (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t24)))) % 1.12/1.34 (assume @p30 (forall @t27 (=> @t85 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t16))))) % 1.12/1.34 (assume @p31 (forall @t92 (=> @t65 (=> @t91 (=> @t90 @t89))))) % 1.12/1.34 (assume @p32 (forall @t95 (=> @t65 (=> @t94 (=> @t93 @t89))))) % 1.12/1.34 (assume @p33 (forall @t66 (=> @t65 (=> @t69 (=> @t68 @t62))))) % 1.12/1.34 (assume @p34 (forall @t75 (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 (tptp.c_Groups_Oone__class_Oone @t96)) @t60) @t24)))) % 1.12/1.34 (assume @p35 (not (= @t33 @t23))) % 1.12/1.34 (assume @p36 (forall @t75 (=> @t100 (= (tptp.hAPP @t99 @t60) @t16)))) % 1.12/1.34 (assume @p37 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t103 tptp.v_w____)) @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t101 @t9)) @t23))) % 1.12/1.34 (assume @p38 (forall @t75 (=> @t36 (and (=> @t106 (= @t105 @t33)) (=> (not @t106) (= @t105 @t23)))))) % 1.12/1.34 (assume @p39 (not @t108)) % 1.12/1.34 (assume @p40 (forall @t112 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t111 @t110))) % 1.12/1.34 (assume @p41 (= @t107 @t9)) % 1.12/1.34 (assume @p42 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t103))) % 1.12/1.34 (assume @p43 (forall @t118 (=> @t117 (= (= @t115 @t99) @t114)))) % 1.12/1.34 (assume @p44 (forall (@list @t119 @t113 @t11) (=> @t117 (= (= @t115 (tptp.c_Polynomial_Opoly @t11 @t119)) (= @t113 @t119))))) % 1.12/1.34 (assume @p45 (forall @t45 (=> @t82 (=> @t121 (= @t120 @t24))))) % 1.12/1.34 (assume @p46 (forall @t112 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t107) @t110))) % 1.12/1.34 (assume @p47 (= @t123 @t122)) % 1.12/1.34 (assume @p48 @t126) % 1.12/1.34 (assume @p49 (forall @t6 (= (tptp.hAPP @t8 @t3) @t127))) % 1.12/1.34 (assume @p50 (forall @t45 (=> @t44 @t129))) % 1.12/1.34 (assume @p51 (forall @t45 (=> @t82 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t120) @t120)))) % 1.12/1.34 (assume @p52 (forall @t45 (=> @t100 (= (tptp.c_Polynomial_Osmult @t11 @t12 @t98) @t98)))) % 1.12/1.34 (assume @p53 (forall @t58 (=> @t44 (= (= @t130 (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t47)) @t49)))) % 1.12/1.34 (assume @p54 (forall @t22 (=> @t44 (=> @t133 @t131)))) % 1.12/1.34 (assume @p55 (forall @t139 (=> @t138 (=> @t137 @t136)))) % 1.12/1.34 (assume @p56 (forall @t143 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t141 @t142) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t142 @t140) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t141 @t140))))) % 1.12/1.34 (assume @p57 (forall @t139 (or @t138 @t137))) % 1.12/1.34 (assume @p58 (forall @t144 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t134 @t134))) % 1.12/1.34 (assume @p59 (forall @t146 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t130 @t16) @t145)))) % 1.12/1.34 (assume @p60 (forall @t146 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t130) @t147)))) % 1.12/1.34 (assume @p61 (forall @t45 (=> (and @t149 @t44) @t148))) % 1.12/1.34 (assume @p62 (forall @t151 (=> @t100 (= (tptp.c_Polynomial_Osmult @t11 @t16 @t150) @t98)))) % 1.12/1.34 (assume @p63 (forall (@list @t113 @t48 @t11) (=> @t116 (= (= @t153 @t98) (or @t152 @t114))))) % 1.12/1.34 (assume @p64 (forall @t151 (=> @t97 (= (tptp.c_Polynomial_Osmult @t11 @t24 @t150) @t150)))) % 1.12/1.34 (assume @p65 (forall @t159 (= @t158 (and @t157 @t156)))) % 1.12/1.34 (assume @p66 (forall @t159 (= @t157 (or @t158 @t155)))) % 1.12/1.34 (assume @p67 (forall @t22 (=> @t65 (=> @t161 (=> @t121 @t160))))) % 1.12/1.34 (assume @p68 (forall @t22 (=> @t65 (=> @t161 (=> @t162 @t160))))) % 1.12/1.34 (assume @p69 (forall @t22 (=> @t65 (=> @t164 (=> @t121 @t163))))) % 1.12/1.34 (assume @p70 (forall @t22 (=> @t65 (=> @t164 (=> @t162 @t163))))) % 1.12/1.34 (assume @p71 (forall @t45 (=> @t149 (=> @t42 @t148)))) % 1.12/1.34 (assume @p72 (forall @t38 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t166 @t24) (or @t165 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t29)))))) % 1.12/1.34 (assume @p73 (forall @t27 (=> @t21 @t167))) % 1.12/1.34 (assume @p74 (forall @t27 (=> @t44 @t167))) % 1.12/1.34 (assume @p75 (forall @t146 (=> @t44 (= (= @t130 @t16) @t152)))) % 1.12/1.34 (assume @p76 (forall @t45 (=> @t46 (=> @t42 (not @t168))))) % 1.12/1.34 (assume @p77 (forall @t45 (=> @t46 (=> @t42 @t129)))) % 1.12/1.34 (assume @p78 (forall @t45 (=> @t46 (=> @t168 @t41)))) % 1.12/1.34 (assume @p79 (forall @t22 (=> @t46 (=> @t133 (=> @t42 (=> @t18 @t131)))))) % 1.12/1.34 (assume @p80 (forall @t27 (=> @t46 (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t24) @t24)))) % 1.12/1.34 (assume @p81 (forall @t38 (=> @t21 (= (= @t166 @t24) @t169)))) % 1.12/1.34 (assume @p82 (forall @t22 (=> @t21 (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t14) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t10 @t12))))) % 1.12/1.34 (assume @p83 (forall @t27 (=> @t36 @t170))) % 1.12/1.34 (assume @p84 (forall @t146 (=> @t82 (= (= @t171 @t16) @t152)))) % 1.12/1.34 (assume @p85 (forall @t38 (=> @t36 (= (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t29) @t16) @t30)))) % 1.12/1.34 (assume @p86 (forall @t38 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t166) (and @t172 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t29 @t24)))))) % 1.12/1.34 (assume @p87 (forall @t38 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t166 @t24) (or @t165 (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t29)))))) % 1.12/1.34 (assume @p88 (forall @t45 (=> @t65 (=> @t121 (=> @t173 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t128)))))) % 1.12/1.34 (assume @p89 (forall @t27 (=> @t26 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t24) @t24)))) % 1.12/1.34 (assume @p90 (forall @t159 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t29 @t154)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t29 @t33) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t154)) (or @t174 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t154 @t33)))))) % 1.12/1.34 (assume @p91 (forall @t146 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t130) @t56)))) % 1.12/1.34 (assume @p92 (forall @t146 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t130 @t16) @t54)))) % 1.12/1.34 (assume @p93 (forall @t45 (=> @t65 (=> @t121 @t175)))) % 1.12/1.34 (assume @p94 (forall @t45 (=> @t65 (=> @t175 (=> @t42 @t121))))) % 1.12/1.34 (assume @p95 (forall @t45 (=> @t65 (=> @t177 @t176)))) % 1.12/1.34 (assume @p96 (forall @t22 (=> @t65 (=> @t94 (=> @t121 @t178))))) % 1.12/1.34 (assume @p97 (forall @t22 (=> @t65 (=> @t94 (=> @t162 @t178))))) % 1.12/1.34 (assume @p98 (forall @t45 (=> @t65 (=> @t176 (=> @t42 @t177))))) % 1.12/1.34 (assume @p99 (forall @t22 (=> @t65 (=> @t179 (=> @t121 @t91))))) % 1.12/1.34 (assume @p100 (forall @t22 (=> @t65 (=> @t179 (=> @t162 @t91))))) % 1.12/1.34 (assume @p101 (forall @t45 (=> @t46 @t181))) % 1.12/1.34 (assume @p102 (forall @t27 (=> @t85 (not (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t16))))) % 1.12/1.34 (assume @p103 (forall @t27 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t24)))) % 1.12/1.34 (assume @p104 (forall @t58 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t50) @t184)))) % 1.12/1.34 (assume @p105 (forall @t58 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t50 @t16) @t185)))) % 1.12/1.34 (assume @p106 (forall @t95 (=> @t57 (=> @t161 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t88 @t87)))))) % 1.12/1.34 (assume @p107 (forall @t95 (=> @t57 (=> @t161 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t87 @t88)))))) % 1.12/1.34 (assume @p108 (forall @t75 (=> @t36 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t74)))) % 1.12/1.34 (assume @p109 (forall @t146 (=> @t82 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t171) @t56)))) % 1.12/1.34 (assume @p110 (forall @t146 (=> @t82 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t171 @t16) @t54)))) % 1.12/1.34 (assume @p111 (forall @t38 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t166) (and @t172 (tptp.c_Orderings_Oord__class_Oless @t11 @t29 @t24)))))) % 1.12/1.34 (assume @p112 (forall @t45 (=> @t65 (=> @t121 (=> @t188 (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t128)))))) % 1.12/1.34 (assume @p113 (forall @t45 (=> @t46 (=> @t42 @t181)))) % 1.12/1.34 (assume @p114 (forall @t66 (=> @t65 (=> @t190 (=> @t63 @t189))))) % 1.12/1.34 (assume @p115 (forall @t66 (=> @t65 (=> @t190 (=> @t68 @t191))))) % 1.12/1.34 (assume @p116 (forall @t197 (=> @t65 (=> @t64 (=> @t196 (=> @t195 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t134 @t135) @t194))))))) % 1.12/1.34 (assume @p117 (forall @t197 (=> @t65 (=> @t190 (=> @t77 (=> @t195 (=> @t198 @t194))))))) % 1.12/1.34 (assume @p118 (forall @t197 (=> @t65 (=> @t190 (=> @t196 (=> @t195 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t193 @t192)))))))) % 1.12/1.34 (assume @p119 (forall @t66 (=> @t65 (=> @t199 (=> @t63 @t191))))) % 1.12/1.34 (assume @p120 (forall @t66 (=> @t65 (=> @t199 (=> @t68 @t189))))) % 1.12/1.34 (assume @p121 (forall @t38 (=> @t36 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t33) @t30)))) % 1.12/1.34 (assume @p122 (forall @t201 (=> @t200 (= (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t60) @t23)))) % 1.12/1.34 (assume @p123 (forall @t146 (=> @t82 (= (= @t171 @t24) @t56)))) % 1.12/1.34 (assume @p124 (= @t123 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t102))) % 1.12/1.34 (assume @p125 (not (forall @t72 (= (tptp.hAPP @t103 @t3) (tptp.hAPP @t103 @t71))))) % 1.12/1.34 (assume @p126 (=> @t108 (exists @t203 (= (tptp.hAPP @t70 @t202) @t7)))) % 1.12/1.34 (assume @p127 (forall @t203 (= (tptp.hAPP @t8 @t202) (tptp.hAPP (tptp.hAPP @t204 (tptp.hAPP @t103 @t202)) @t9)))) % 1.12/1.34 (assume @p128 @t206) % 1.12/1.34 (assume @p129 (forall (@list @t60 @t207 @t11) (=> @t149 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t207 @t74) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t207) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t60)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t207))))))) % 1.12/1.34 (assume @p130 (forall @t45 (=> @t208 @t181))) % 1.12/1.34 (assume @p131 (forall @t75 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t60)))) % 1.12/1.34 (assume @p132 (forall @t27 (=> (tptp.class_Groups_Osgn__if @t11) @t170))) % 1.12/1.34 (assume @p133 (forall (@list @t48 @t113 @t11) (=> @t116 (= (= (tptp.hAPP @t115 @t48) @t16) (or @t114 (not (= (tptp.c_Polynomial_Oorder @t11 @t48 @t113) @t210))))))) % 1.12/1.34 (assume @p134 (forall @t215 (=> @t214 (= @t213 @t211)))) % 1.12/1.34 (assume @p135 (forall (@list @t216 @t11) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t216 @t216) (tptp.hAPP (tptp.hAPP @t218 @t217) @t216))))) % 1.12/1.34 (assume @p136 (forall (@list @t12 @t216 @t11) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t216 @t222) @t220)))) % 1.12/1.34 (assume @p137 (forall (@list @t216 @t12 @t11) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t222 @t216) @t220)))) % 1.12/1.34 (assume @p138 (forall (@list @t223 @t86 @t10 @t12 @t207 @t11) (=> @t225 (=> (not (= @t207 @t16)) (=> (and @t131 (not (= @t86 @t223))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 (tptp.hAPP @t224 @t86)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 (tptp.hAPP @t224 @t223))))))))) % 1.12/1.34 (assume @p139 (forall (@list @t86 @t12 @t11) (=> @t97 (= @t227 @t226)))) % 1.12/1.34 (assume @p140 (forall @t22 (=> @t97 (= @t230 @t229)))) % 1.12/1.34 (assume @p141 (forall @t233 (=> @t97 (= @t232 (tptp.c_Groups_Oplus__class_Oplus @t11 @t86 (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t223)))))) % 1.12/1.34 (assume @p142 (forall @t241 (=> @t97 (= @t240 (tptp.hAPP @t238 (tptp.hAPP @t236 @t234)))))) % 1.12/1.34 (assume @p143 (forall @t233 (=> @t97 (= @t232 (tptp.c_Groups_Oplus__class_Oplus @t11 @t227 @t223))))) % 1.12/1.34 (assume @p144 (forall @t241 (=> @t97 (= @t240 (tptp.hAPP @t242 @t234))))) % 1.12/1.34 (assume @p145 (forall @t246 (=> @t97 (= (tptp.hAPP @t243 (tptp.c_Groups_Oplus__class_Oplus @t11 @t59 @t135)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t245 @t244))))) % 1.12/1.34 (assume @p146 (forall (@list @t250 @t247 @t47 @t48 @t11) (=> @t225 (= (and (not @t49) (not (= @t247 @t250))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t253 (tptp.hAPP @t248 @t250)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t252 @t249))))))) % 1.12/1.34 (assume @p147 (forall @t95 (=> @t97 @t257))) % 1.12/1.34 (assume @p148 (forall @t95 (=> (tptp.class_Groups_Oab__semigroup__add @t11) @t257))) % 1.12/1.34 (assume @p149 (forall @t95 (=> (tptp.class_Groups_Oab__semigroup__mult @t11) (= (tptp.hAPP (tptp.hAPP @t218 @t230) @t86) (tptp.hAPP @t221 @t258))))) % 1.12/1.34 (assume @p150 (forall @t263 (=> @t97 (= @t262 (tptp.hAPP @t236 (tptp.hAPP @t260 @t237)))))) % 1.12/1.34 (assume @p151 (forall @t95 (=> @t97 (= @t256 (tptp.c_Groups_Oplus__class_Oplus @t11 @t227 @t10))))) % 1.12/1.34 (assume @p152 (forall @t263 (=> @t97 (= @t262 (tptp.hAPP @t242 @t259))))) % 1.12/1.34 (assume @p153 (forall @t95 (=> @t97 @t266))) % 1.12/1.34 (assume @p154 (forall @t270 (=> @t269 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t48 @t47) @t268) @t267)))) % 1.12/1.34 (assume @p155 (forall (@list @t247 @t48 @t47 @t11) (=> @t269 (= (= @t272 @t271) @t267)))) % 1.12/1.34 (assume @p156 (forall @t274 (=> @t97 (= @t273 (tptp.hAPP @t236 (tptp.hAPP @t260 @t239)))))) % 1.12/1.34 (assume @p157 (forall @t274 (=> @t97 (= @t273 (tptp.hAPP @t238 (tptp.hAPP @t261 @t234)))))) % 1.12/1.34 (assume @p158 (forall (@list @t10 @t216 @t12 @t11) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t222 (tptp.hAPP @t228 @t216)) (tptp.hAPP @t265 @t216))))) % 1.12/1.34 (assume @p159 (forall @t276 (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t255 @t231) (tptp.c_Groups_Oplus__class_Oplus @t11 @t227 @t275))))) % 1.12/1.34 (assume @p160 (forall @t274 (=> @t97 (= @t273 (tptp.hAPP @t242 (tptp.hAPP @t260 @t234)))))) % 1.12/1.34 (assume @p161 (forall (@list @t277 @t29 @t154 @t278 @t11) (=> @t225 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t282 @t281) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t280 @t277) (tptp.hAPP @t279 @t154))) (or (= @t278 @t29) (= @t154 @t277)))))) % 1.12/1.34 (assume @p162 (forall @t95 (=> @t269 @t284))) % 1.12/1.34 (assume @p163 (forall @t95 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t11) @t284))) % 1.12/1.34 (assume @p164 (forall @t92 (=> @t269 (=> (= @t285 @t226) @t283)))) % 1.12/1.34 (assume @p165 (forall (@list @t86 @t10 @t286 @t12 @t11) (=> (tptp.class_Rings_Osemiring @t11) (= (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t221 @t286) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t228 @t286) @t86)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t265 @t286) @t86))))) % 1.12/1.34 (assume @p166 (forall @t293 (=> @t292 (= (tptp.hAPP (tptp.hAPP @t218 @t291) @t287) (tptp.c_Groups_Oplus__class_Oplus @t11 @t290 @t289))))) % 1.12/1.34 (assume @p167 (forall @t297 (=> @t292 (= (tptp.hAPP (tptp.hAPP @t218 (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t294)) @t10) (tptp.c_Groups_Oplus__class_Oplus @t11 @t230 @t296))))) % 1.12/1.34 (assume @p168 (forall @t95 (=> (tptp.class_Rings_Ocomm__semiring @t11) @t266))) % 1.12/1.34 (assume @p169 (forall @t302 (=> @t292 (= (tptp.hAPP @t299 @t291) (tptp.c_Groups_Oplus__class_Oplus @t11 @t301 @t300))))) % 1.12/1.34 (assume @p170 (forall (@list @t303 @t10 @t12 @t11) (=> @t292 (= (tptp.hAPP @t221 (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 @t303)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t230 (tptp.hAPP @t221 @t303)))))) % 1.12/1.34 (assume @p171 @t309) % 1.12/1.34 (assume @p172 (forall @t314 (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t313) @t60) (tptp.c_Groups_Oplus__class_Oplus @t11 @t312 @t311))))) % 1.12/1.34 (assume @p173 (forall @t52 (=> @t225 (= (= @t47 @t272) @t152)))) % 1.12/1.34 (assume @p174 (forall @t45 (=> @t316 @t315))) % 1.12/1.34 (assume @p175 (forall @t45 (=> @t97 @t315))) % 1.12/1.34 (assume @p176 (forall @t45 (=> @t317 @t315))) % 1.12/1.34 (assume @p177 (forall @t146 (=> @t319 (= (= @t16 @t318) @t152)))) % 1.12/1.34 (assume @p178 (forall @t45 (=> @t316 @t320))) % 1.12/1.34 (assume @p179 (forall @t45 (=> @t97 @t320))) % 1.12/1.34 (assume @p180 (forall @t45 (=> @t317 @t320))) % 1.12/1.34 (assume @p181 (forall @t323 (=> @t100 (= (tptp.c_Polynomial_Osmult @t11 @t255 @t150) (tptp.c_Groups_Oplus__class_Oplus @t96 @t322 @t321))))) % 1.12/1.34 (assume @p182 (forall @t314 (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t326) @t60) (tptp.hAPP (tptp.hAPP @t218 @t312) @t311))))) % 1.12/1.34 (assume @p183 (forall @t330 (=> @t329 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t268 @t328) @t327)))) % 1.12/1.34 (assume @p184 (forall @t332 (=> @t329 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t271 @t331) @t327)))) % 1.12/1.34 (assume @p185 (forall @t95 (=> @t334 (=> @t161 @t333)))) % 1.12/1.34 (assume @p186 (forall @t95 (=> @t334 (=> @t161 @t336)))) % 1.12/1.34 (assume @p187 (forall @t276 (=> @t334 (=> @t161 (=> @t337 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t227 @t275)))))) % 1.12/1.34 (assume @p188 (forall @t338 (=> @t329 (=> @t333 @t161)))) % 1.12/1.34 (assume @p189 (forall @t339 (=> @t329 (=> @t336 @t161)))) % 1.12/1.34 (assume @p190 (forall @t339 (=> @t329 (=> @t340 @t94)))) % 1.12/1.34 (assume @p191 (forall @t338 (=> @t329 (=> @t341 @t94)))) % 1.12/1.34 (assume @p192 (forall @t276 (=> @t345 (=> @t94 @t344)))) % 1.12/1.34 (assume @p193 (forall @t95 (=> @t345 (=> @t94 @t340)))) % 1.12/1.34 (assume @p194 (forall @t95 (=> @t345 (=> @t94 @t341)))) % 1.12/1.34 (assume @p195 (forall @t332 (=> @t329 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t271 @t331) @t346)))) % 1.12/1.34 (assume @p196 (forall @t330 (=> @t329 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t268 @t328) @t346)))) % 1.12/1.34 (assume @p197 (forall @t45 (=> @t97 @t347))) % 1.12/1.34 (assume @p198 (forall @t45 (=> @t97 @t349))) % 1.12/1.34 (assume @p199 (forall @t45 (=> @t351 @t350))) % 1.12/1.34 (assume @p200 (forall @t45 (=> @t97 @t350))) % 1.12/1.34 (assume @p201 (forall @t45 (=> @t352 @t350))) % 1.12/1.34 (assume @p202 (forall @t45 (=> @t351 @t353))) % 1.12/1.34 (assume @p203 (forall @t45 (=> @t97 @t353))) % 1.12/1.34 (assume @p204 (forall @t45 (=> @t352 @t353))) % 1.12/1.34 (assume @p205 (forall @t359 (=> @t208 (=> @t358 (=> @t357 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t61 @t356) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t244 @t355) @t354))))))) % 1.12/1.34 (assume @p206 (forall @t363 (=> @t208 (=> @t357 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t193 @t59) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t362 @t135)))))) % 1.12/1.34 (assume @p207 (forall @t365 (=> @t21 (=> @t358 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t61 @t135) @t364))))) % 1.12/1.34 (assume @p208 (forall @t363 (=> @t208 (=> @t357 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t60 @t367) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t366 @t59) @t135)))))) % 1.12/1.34 (assume @p209 (forall @t368 (=> @t21 (=> @t358 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t135 @t61) @t364))))) % 1.12/1.34 (assume @p210 (forall @t22 (=> @t208 (=> @t42 (=> @t18 (= @t369 (tptp.hAPP (tptp.hAPP @t218 (tptp.hAPP @t265 @t128)) @t132))))))) % 1.12/1.34 (assume @p211 (forall @t22 (=> @t46 (=> @t42 (=> @t18 (= @t369 (tptp.hAPP (tptp.hAPP @t218 (tptp.hAPP @t370 @t255)) @t132))))))) % 1.12/1.34 (assume @p212 (forall @t66 (=> @t36 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t371 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t74 @t304))))) % 1.12/1.34 (assume @p213 (forall @t375 (=> @t36 (=> @t374 (=> @t373 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t371 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t207 @t372))))))) % 1.12/1.34 (assume @p214 (forall @t66 (=> @t292 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t307 @t306)))) % 1.12/1.34 (assume @p215 (forall @t375 (=> @t292 (=> @t374 (=> @t373 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t307 (tptp.hAPP @t376 @t372))))))) % 1.12/1.34 (assume @p216 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t33) @t33)) % 1.12/1.34 (assume @p217 (forall @t22 (=> @t378 (=> @t377 (or @t41 @t17))))) % 1.12/1.34 (assume @p218 (forall @t22 (=> @t378 (=> @t42 (=> @t18 (not @t377)))))) % 1.12/1.34 (assume @p219 (forall @t58 (=> (tptp.class_Rings_Oring__no__zero__divisors @t11) (= (= @t379 @t16) (or @t152 @t51))))) % 1.12/1.34 (assume @p220 (forall @t75 (=> @t292 (= (tptp.hAPP @t243 @t16) @t16)))) % 1.12/1.34 (assume @p221 (forall @t45 (=> @t292 @t347))) % 1.12/1.34 (assume @p222 (forall @t45 (=> @t380 @t347))) % 1.12/1.34 (assume @p223 (forall @t84 (=> @t292 (= (tptp.hAPP @t348 @t59) @t16)))) % 1.12/1.34 (assume @p224 (forall (@list @t10 @t11) (=> @t292 (= (tptp.hAPP @t348 @t10) @t16)))) % 1.12/1.34 (assume @p225 (forall @t45 (=> @t380 @t349))) % 1.12/1.34 (assume @p226 (forall @t293 (=> @t19 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t291 @t287) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t60 @t287) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t59 @t287)))))) % 1.12/1.34 (assume @p227 (forall @t95 (=> @t46 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t255 @t86) (tptp.c_Groups_Oplus__class_Oplus @t11 @t88 @t87))))) % 1.12/1.34 (assume @p228 (forall (@list @t134 @t135 @t59 @t60 @t11) (=> @t21 (= (tptp.hAPP (tptp.hAPP @t218 @t61) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t135 @t134)) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t244 (tptp.hAPP @t288 @t134)))))) % 1.12/1.34 (assume @p229 (forall @t95 (=> @t46 (= (tptp.hAPP @t221 @t87) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t230 @t86))))) % 1.12/1.34 (assume @p230 (forall @t22 (=> @t21 (= @t381 (tptp.hAPP @t370 @t132))))) % 1.12/1.34 (assume @p231 (forall @t22 (=> @t384 (=> @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t255 @t16)))))) % 1.12/1.34 (assume @p232 (forall @t386 (=> @t384 (=> @t186 (=> @t163 @t385))))) % 1.12/1.34 (assume @p233 (forall @t95 (=> @t384 (=> @t388 (=> @t387 @t385))))) % 1.12/1.34 (assume @p234 (forall @t215 (=> @t384 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t154) (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t29 @t154) @t16) @t390)))))) % 1.12/1.34 (assume @p235 (forall @t22 (=> @t384 (=> @t388 (=> @t391 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t255)))))) % 1.12/1.34 (assume @p236 (forall @t146 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t318 @t16) @t145)))) % 1.12/1.34 (assume @p237 (forall @t146 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t318) @t147)))) % 1.12/1.34 (assume @p238 (forall @t22 (=> @t384 (=> @t177 @t393)))) % 1.12/1.34 (assume @p239 (forall @t22 (=> @t384 (=> @t121 @t396)))) % 1.12/1.34 (assume @p240 (forall @t146 (=> @t319 @t397))) % 1.12/1.34 (assume @p241 (forall @t146 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t318) @t56)))) % 1.12/1.34 (assume @p242 (forall @t276 (=> @t345 (=> @t161 @t344)))) % 1.12/1.34 (assume @p243 (forall @t276 (=> @t345 (=> @t94 (=> @t337 @t342))))) % 1.12/1.34 (assume @p244 (forall @t323 (=> @t100 (= (tptp.c_Polynomial_Osmult @t11 @t12 @t321) (tptp.c_Polynomial_Osmult @t11 @t230 @t150))))) % 1.12/1.34 (assume @p245 (forall @t66 (=> @t149 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t245) (tptp.hAPP (tptp.hAPP @t218 @t104) (tptp.c_Groups_Osgn__class_Osgn @t11 @t59)))))) % 1.12/1.34 (assume @p246 (forall @t22 (=> @t82 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t230) (tptp.hAPP (tptp.hAPP @t218 @t120) (tptp.c_Groups_Osgn__class_Osgn @t11 @t10)))))) % 1.12/1.34 (assume @p247 (forall @t404 (=> (tptp.class_Rings_Olinordered__semiring__1 @t11) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t59 @t12) (=> @t403 (=> @t402 (=> @t401 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t400 @t12))))))))) % 1.12/1.34 (assume @p248 (forall @t404 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t11) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t12) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t59 @t12) (=> @t403 (=> @t402 (=> @t401 (tptp.c_Orderings_Oord__class_Oless @t11 @t400 @t12))))))))) % 1.12/1.34 (assume @p249 (forall @t22 (=> @t384 (=> @t383 @t393)))) % 1.12/1.34 (assume @p250 (forall @t22 (=> @t384 (=> @t177 (=> @t382 @t392))))) % 1.12/1.34 (assume @p251 (forall @t95 (=> @t384 (=> @t388 @t407)))) % 1.12/1.34 (assume @p252 (forall @t95 (=> @t384 (=> @t121 (=> @t387 @t405))))) % 1.12/1.34 (assume @p253 (forall @t22 (=> @t384 (=> @t388 @t396)))) % 1.12/1.34 (assume @p254 (forall @t22 (=> @t384 (=> @t121 (=> @t391 @t394))))) % 1.12/1.34 (assume @p255 (forall @t95 (=> @t85 (=> @t121 @t407)))) % 1.12/1.34 (assume @p256 (forall @t45 (=> @t85 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t219)))) % 1.12/1.34 (assume @p257 (forall @t45 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t408)))) % 1.12/1.34 (assume @p258 (forall @t58 (=> @t410 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t379) @t184)))) % 1.12/1.34 (assume @p259 (forall @t58 (=> @t410 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t379 @t16) @t185)))) % 1.12/1.34 (assume @p260 (forall @t22 (=> @t412 (=> @t388 (=> @t391 @t411))))) % 1.12/1.34 (assume @p261 (forall @t22 (=> @t412 (=> @t388 (=> @t382 @t413))))) % 1.12/1.34 (assume @p262 (forall @t22 (=> @t412 (=> @t388 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t229 @t16)))))) % 1.12/1.34 (assume @p263 (forall @t22 (=> @t412 (=> @t383 (=> @t391 @t413))))) % 1.12/1.34 (assume @p264 (forall @t22 (=> @t414 (=> @t383 (=> @t382 @t411))))) % 1.12/1.34 (assume @p265 (forall @t95 (=> @t416 (=> @t161 (=> @t186 @t415))))) % 1.12/1.34 (assume @p266 (forall @t95 (=> @t416 @t421))) % 1.12/1.34 (assume @p267 (forall @t95 (=> (tptp.class_Rings_Oordered__comm__semiring @t11) @t421))) % 1.12/1.34 (assume @p268 (forall @t92 (=> @t414 (=> @t163 (=> @t187 @t415))))) % 1.12/1.34 (assume @p269 (forall @t92 (=> @t414 (=> @t163 (=> @t187 @t420))))) % 1.12/1.34 (assume @p270 (forall @t276 (=> @t416 (=> @t161 (=> @t337 (=> @t388 @t423)))))) % 1.12/1.34 (assume @p271 (forall @t276 (=> @t416 (=> @t161 (=> @t337 (=> @t391 @t423)))))) % 1.12/1.34 (assume @p272 (forall @t22 (=> @t414 (=> (or (and @t388 @t391) (and @t383 @t382)) @t411)))) % 1.12/1.34 (assume @p273 (forall @t22 (=> @t412 (=> (or (and @t388 @t382) (and @t383 @t391)) @t413)))) % 1.12/1.34 (assume @p274 (forall @t92 (=> @t410 (=> @t91 (=> @t90 @t424))))) % 1.12/1.34 (assume @p275 (forall @t92 (=> @t410 (=> @t91 (=> @t90 @t425))))) % 1.12/1.34 (assume @p276 (forall @t95 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t11) @t426))) % 1.12/1.34 (assume @p277 (forall @t95 (=> @t427 @t426))) % 1.12/1.34 (assume @p278 (forall @t95 (=> @t427 (=> @t94 (=> @t93 @t425))))) % 1.12/1.34 (assume @p279 (forall @t22 (=> @t410 (=> @t177 (=> @t162 @t428))))) % 1.12/1.34 (assume @p280 (forall @t22 (=> @t427 (=> @t177 (=> @t395 @t429))))) % 1.12/1.34 (assume @p281 (forall @t332 (=> @t410 (=> @t435 (= @t434 @t430))))) % 1.12/1.34 (assume @p282 (forall @t20 (=> @t427 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t229) @t436)))) % 1.12/1.34 (assume @p283 (forall @t22 (=> @t427 (=> @t428 @t436)))) % 1.12/1.34 (assume @p284 (forall @t22 (=> @t427 (=> @t121 (=> @t162 (tptp.c_Orderings_Oord__class_Oless @t11 @t229 @t16)))))) % 1.12/1.34 (assume @p285 (forall @t22 (=> @t427 (=> @t121 (=> @t162 @t429))))) % 1.12/1.34 (assume @p286 (forall @t22 (=> @t427 (=> @t121 (=> @t395 @t428))))) % 1.12/1.34 (assume @p287 (forall @t332 (=> @t410 (=> @t437 (= @t434 @t346))))) % 1.12/1.34 (assume @p288 (forall @t332 (=> @t410 (= @t434 @t438)))) % 1.12/1.34 (assume @p289 (forall @t330 (=> @t410 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t253 @t249) @t438)))) % 1.12/1.34 (assume @p290 (forall @t45 (=> @t409 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t408 @t16))))) % 1.12/1.34 (assume @p291 (forall (@list @t439 @t216 @t11) (=> @t85 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t216) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t439) (tptp.c_Orderings_Oord__class_Oless @t11 @t24 (tptp.hAPP (tptp.hAPP @t218 @t216) @t439))))))) % 1.12/1.34 (assume @p292 (forall @t339 (=> @t46 (=> @t441 (=> (= @t264 @t10) (= @t12 @t87)))))) % 1.12/1.34 (assume @p293 (forall @t386 (=> @t46 (=> @t441 (=> (= @t10 @t264) (= @t87 @t12)))))) % 1.12/1.34 (assume @p294 (forall (@list @t278 @t29 @t277 @t154 @t11) (=> @t208 (=> @t442 (=> (not (= @t277 @t16)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t29 @t154) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t278 @t277)) (= @t281 @t282))))))) % 1.12/1.34 (assume @p295 (forall @t339 (=> @t21 (=> @t441 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t419 @t418) @t14))))) % 1.12/1.34 (assume @p296 (forall @t339 (=> @t21 (=> @t441 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t264 @t258) @t14))))) % 1.12/1.34 (assume @p297 (forall @t448 (=> @t46 (=> @t447 (= @t445 @t443))))) % 1.12/1.34 (assume @p298 (forall @t332 (=> @t46 (=> @t447 (= @t450 @t449))))) % 1.12/1.34 (assume @p299 (forall @t452 (=> @t21 (= @t445 (and (=> @t447 @t443) @t451))))) % 1.12/1.34 (assume @p300 (forall @t270 (=> @t21 (= @t450 (and (=> @t447 @t449) @t451))))) % 1.12/1.34 (assume @p301 (forall @t22 (=> @t46 (=> @t42 (=> @t18 (= @t381 (tptp.hAPP (tptp.hAPP @t218 @t132) @t128))))))) % 1.12/1.34 (assume @p302 (forall @t22 (=> @t46 (=> (= @t230 @t24) (= @t128 @t10))))) % 1.12/1.34 (assume @p303 (forall @t22 (=> @t208 @t453))) % 1.12/1.34 (assume @p304 (forall @t22 (=> @t46 @t453))) % 1.12/1.34 (assume @p305 (forall (@list @t60 @t150 @t12 @t11) (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t322) @t60) (tptp.hAPP @t221 @t312))))) % 1.12/1.34 (assume @p306 (forall @t118 (=> @t454 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t113) @t210) @t114)))) % 1.12/1.34 (assume @p307 (forall @t27 (=> @t85 (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t217)))) % 1.12/1.34 (assume @p308 (forall @t339 (=> @t427 (=> @t420 @t455)))) % 1.12/1.34 (assume @p309 (forall @t338 (=> @t427 (=> @t415 @t455)))) % 1.12/1.34 (assume @p310 (forall @t339 (=> @t427 @t457))) % 1.12/1.34 (assume @p311 (forall @t339 (=> @t458 @t457))) % 1.12/1.34 (assume @p312 (forall @t338 (=> @t427 @t459))) % 1.12/1.34 (assume @p313 (forall @t338 (=> @t458 @t459))) % 1.12/1.34 (assume @p314 (forall @t276 (=> @t427 (=> @t161 (=> @t343 (=> @t121 @t461)))))) % 1.12/1.34 (assume @p315 (forall @t276 (=> @t427 (=> @t94 (=> @t337 (=> @t388 (=> @t93 @t460))))))) % 1.12/1.34 (assume @p316 (forall @t276 (=> @t427 (=> @t94 (=> @t343 (=> @t388 @t461)))))) % 1.12/1.34 (assume @p317 (forall @t276 (=> @t427 (=> @t94 (=> @t343 (=> @t395 @t461)))))) % 1.12/1.34 (assume @p318 (forall @t332 (=> @t410 (=> @t435 (= @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t47 @t48)))))) % 1.12/1.34 (assume @p319 (forall @t332 (=> @t410 (=> @t437 (= @t462 @t327))))) % 1.12/1.34 (assume @p320 (forall @t66 (=> @t82 (=> @t190 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.hAPP @t288 @t60) @t60))))))) % 1.12/1.34 (assume @p321 (forall @t66 (=> @t82 (=> @t190 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t245 @t60))))))) % 1.12/1.34 (assume @p322 (forall @t22 (=> @t65 (=> @t94 (tptp.c_Orderings_Oord__class_Oless @t11 @t465 @t10))))) % 1.12/1.34 (assume @p323 (forall @t22 (=> @t65 (=> @t94 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t465))))) % 1.12/1.34 (assume @p324 (forall @t95 (=> @t65 (=> @t94 (=> @t90 @t468))))) % 1.12/1.34 (assume @p325 (forall @t92 (=> @t65 (=> @t91 (=> @t93 @t468))))) % 1.12/1.34 (assume @p326 (forall @t448 (=> @t65 (=> @t435 (= @t470 @t469))))) % 1.12/1.34 (assume @p327 (forall @t332 (=> @t65 (=> @t435 (= @t472 @t471))))) % 1.12/1.34 (assume @p328 (forall @t368 (=> @t65 (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t361 @t60) (tptp.c_Orderings_Oord__class_Oless @t11 @t135 @t61)))))) % 1.12/1.34 (assume @p329 (forall @t365 (=> @t65 (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t361) (tptp.c_Orderings_Oord__class_Oless @t11 @t61 @t135)))))) % 1.12/1.34 (assume @p330 @t475) % 1.12/1.34 (assume @p331 (forall @t332 (=> @t65 (=> @t437 (= @t472 @t469))))) % 1.12/1.34 (assume @p332 (forall @t452 (=> @t57 (= @t470 (and (=> @t437 @t471) (=> @t477 (and (=> @t435 @t469) (=> @t476 @t56)))))))) % 1.12/1.34 (assume @p333 (forall @t270 (=> @t57 (= @t472 (and (=> @t437 @t469) (=> @t477 (and (=> @t435 @t471) (=> @t476 @t54)))))))) % 1.12/1.34 (assume @p334 (forall @t45 (=> @t46 @t478))) % 1.12/1.34 (assume @p335 (forall @t45 (=> @t208 @t478))) % 1.12/1.34 (assume @p336 (forall @t45 (=> @t46 (=> @t42 (= (tptp.hAPP @t221 @t128) @t24))))) % 1.12/1.34 (assume @p337 (forall @t38 (=> @t454 (= @t479 @t30)))) % 1.12/1.34 (assume @p338 (forall @t483 (=> @t482 (= @t481 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t73 @t5 @t4)))))) % 1.12/1.34 (assume @p339 (forall @t66 (=> @t214 (or @t196 @t484)))) % 1.12/1.34 (assume @p340 (forall @t215 (=> @t486 (= @t155 (and @t485 @t211))))) % 1.12/1.34 (assume @p341 (forall @t66 (=> @t209 (=> @t79 @t196)))) % 1.12/1.34 (assume @p342 (forall (@list @t29 @t1 @t2 @t11 @t73) (=> @t482 (=> @t481 (tptp.c_Orderings_Oord__class_Oless__eq @t73 (tptp.hAPP @t2 @t29) (tptp.hAPP @t1 @t29)))))) % 1.12/1.34 (assume @p343 (forall @t488 (=> @t486 (=> @t211 @t487)))) % 1.12/1.34 (assume @p344 (forall @t95 (=> @t490 (=> @t131 (=> @t387 @t489))))) % 1.12/1.34 (assume @p345 (forall @t95 (=> @t486 (=> @t131 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t86 @t10) @t491))))) % 1.12/1.34 (assume @p346 (forall @t95 (=> @t490 (=> @t161 (=> @t283 @t489))))) % 1.12/1.34 (assume @p347 (forall @t92 (=> @t486 (=> @t163 (=> @t283 @t491))))) % 1.12/1.34 (assume @p348 (forall @t66 (=> @t486 (=> @t196 (=> @t484 @t79))))) % 1.12/1.34 (assume @p349 (forall @t246 (=> @t209 (=> @t196 (=> @t492 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t135)))))) % 1.12/1.34 (assume @p350 (forall @t493 (=> @t486 (=> @t484 (=> @t196 @t79))))) % 1.12/1.34 (assume @p351 (forall @t365 (=> @t486 (=> @t484 (=> @t494 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t135 @t60)))))) % 1.12/1.34 (assume @p352 (forall @t66 (=> @t214 (=> (not @t196) @t484)))) % 1.12/1.34 (assume @p353 (forall @t66 (=> @t214 (=> @t78 (=> @t80 @t76))))) % 1.12/1.34 (assume @p354 (forall @t66 (=> @t209 (=> @t77 (not @t76))))) % 1.12/1.34 (assume @p355 (forall @t365 (=> @t486 (=> @t76 @t496)))) % 1.12/1.34 (assume @p356 (forall @t246 (=> @t209 (=> @t77 @t498)))) % 1.12/1.34 (assume @p357 (forall @t92 (=> @t486 (=> @t91 (=> @t283 @t499))))) % 1.12/1.34 (assume @p358 (forall @t95 (=> @t490 (=> @t94 (=> @t283 @t500))))) % 1.12/1.34 (assume @p359 (forall @t95 (=> @t486 (=> @t131 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t86 @t10) @t499))))) % 1.12/1.34 (assume @p360 (forall @t95 (=> @t490 (=> @t131 (=> @t406 @t500))))) % 1.12/1.34 (assume @p361 (forall @t20 (=> @t486 (=> @t91 (not @t94))))) % 1.12/1.34 (assume @p362 (forall @t22 (=> @t209 (=> @t94 (not @t91))))) % 1.12/1.34 (assume @p363 (forall @t66 (=> @t486 (=> @t77 @t501)))) % 1.12/1.34 (assume @p364 (forall @t66 (=> @t486 (=> @t77 @t80)))) % 1.12/1.34 (assume @p365 (forall @t66 (=> @t214 @t81))) % 1.12/1.34 (assume @p366 (forall @t488 (=> @t214 (=> (not @t503) @t502)))) % 1.12/1.34 (assume @p367 (forall @t66 (=> @t214 (or @t77 @t79 @t76)))) % 1.12/1.34 (assume @p368 (forall @t215 (=> @t214 (= @t213 (or @t503 @t155))))) % 1.12/1.34 (assume @p369 (forall @t215 (=> @t214 (= @t156 (or @t212 @t503))))) % 1.12/1.34 (assume @p370 (forall @t75 (=> @t209 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t60 @t60))))) % 1.12/1.34 (assume @p371 (forall @t38 (=> (tptp.class_Groups_Oone @t11) (= (= @t24 @t29) @t169)))) % 1.12/1.34 (assume @p372 (forall @t95 (=> @t57 (=> @t161 (=> @t187 @t504))))) % 1.12/1.34 (assume @p373 (forall @t92 (=> @t65 (=> @t163 (=> @t186 @t504))))) % 1.12/1.34 (assume @p374 (forall @t448 (=> @t65 (=> @t435 (= @t506 @t505))))) % 1.12/1.34 (assume @p375 (forall @t332 (=> @t65 (=> @t435 (= @t508 @t507))))) % 1.12/1.34 (assume @p376 (forall @t368 (=> @t65 (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t361 @t60) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t135 @t61)))))) % 1.12/1.34 (assume @p377 (forall @t365 (=> @t65 (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t60 @t361) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t61 @t135)))))) % 1.12/1.34 (assume @p378 (forall @t448 (=> @t65 (=> @t437 (= @t506 @t507))))) % 1.12/1.34 (assume @p379 (forall @t332 (=> @t65 (=> @t437 (= @t508 @t505))))) % 1.12/1.34 (assume @p380 (forall @t452 (=> @t57 (= @t506 (and (=> @t437 @t507) (=> @t477 (and (=> @t435 @t505) (=> @t476 @t147)))))))) % 1.12/1.34 (assume @p381 (forall @t270 (=> @t57 (= @t508 (and (=> @t437 @t505) (=> @t477 (and (=> @t435 @t507) (=> @t476 @t145)))))))) % 1.12/1.34 (assume @p382 (forall @t365 (=> @t486 (=> @t484 @t496)))) % 1.12/1.34 (assume @p383 (forall @t246 (=> @t209 (=> @t196 @t498)))) % 1.12/1.34 (assume @p384 (forall @t365 (=> @t486 (=> @t76 (=> @t494 @t495))))) % 1.12/1.34 (assume @p385 (forall @t246 (=> @t209 (=> @t77 (=> @t492 @t497))))) % 1.12/1.34 (assume @p386 (forall @t20 (=> @t486 (=> @t163 (=> @t509 @t91))))) % 1.12/1.34 (assume @p387 (forall @t22 (=> @t486 (=> @t161 (=> @t509 @t94))))) % 1.12/1.34 (assume @p388 (forall @t66 (=> @t486 (=> @t196 (or @t77 @t79))))) % 1.12/1.34 (assume @p389 (forall @t215 (=> @t214 (=> @t485 @t502)))) % 1.12/1.34 (assume @p390 (forall @t66 (=> @t209 (=> @t77 @t196)))) % 1.12/1.34 (assume @p391 (forall @t493 (=> @t214 (=> @t484 @t78)))) % 1.12/1.34 (assume @p392 (forall @t22 (=> @t486 (=> @t509 (=> @t163 @t91))))) % 1.12/1.34 (assume @p393 (forall @t22 (=> @t486 (=> @t509 (=> @t161 @t94))))) % 1.12/1.34 (assume @p394 (forall @t215 (=> @t214 (=> @t213 @t487)))) % 1.12/1.34 (assume @p395 (forall @t493 (=> @t214 (=> (not @t484) @t77)))) % 1.12/1.34 (assume @p396 (forall @t66 (=> @t214 (=> @t78 @t484)))) % 1.12/1.34 (assume @p397 (forall @t215 (=> @t486 (= @t485 (or @t212 @t155))))) % 1.12/1.34 (assume @p398 (forall @t215 (=> @t209 (= @t212 (and @t485 (not @t211)))))) % 1.12/1.34 (assume @p399 (forall @t215 (=> @t486 (= @t212 (and @t485 @t156))))) % 1.12/1.34 (assume @p400 (forall @t66 (=> @t214 (or @t196 @t76)))) % 1.12/1.34 (assume @p401 (forall @t215 (=> @t214 (= (not @t485) @t503)))) % 1.12/1.34 (assume @p402 (exists @t513 (and @t512 @t511))) % 1.12/1.34 (assume @p403 (forall (@list @t113) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t113) @t122) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t514)) (exists @t203 (= (tptp.hAPP @t514 @t202) @t7)))))) % 1.12/1.34 (assume @p404 (forall @t515 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t60 @t59) (tptp.hAPP (tptp.hAPP @t204 @t60) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t59))))) % 1.12/1.34 (assume @p405 (forall @t215 (=> @t410 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t516) (or @t31 @t442))))) % 1.12/1.34 (assume @p406 (forall @t66 (=> @t409 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t517 @t16))))) % 1.12/1.34 (assume @p407 (forall @t215 (=> @t410 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t516 @t16) @t390)))) % 1.12/1.34 (assume @p408 (forall @t66 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t517)))) % 1.12/1.34 (assume @p409 (forall @t215 (=> @t410 (= (= @t516 @t16) @t390)))) % 1.12/1.34 (assume @p410 (forall @t146 (=> @t82 @t397))) % 1.12/1.34 (assume @p411 (forall @t483 (=> @t482 (= (tptp.c_Orderings_Oord__class_Oless @t480 @t2 @t1) (and @t481 (not (tptp.c_Orderings_Oord__class_Oless__eq @t480 @t1 @t2))))))) % 1.12/1.34 (assume @p412 (forall @t522 (= (tptp.hAPP (tptp.hAPP @t305 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t520 @t518)) @t134) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t521 @t134) (tptp.hAPP @t519 @t134))))) % 1.12/1.34 (assume @p413 (forall (@list @t207 @t310 @t150 @t11) (=> @t100 (= (tptp.hAPP (tptp.hAPP @t324 @t313) @t207) (tptp.c_Groups_Oplus__class_Oplus @t96 (tptp.hAPP @t325 @t207) (tptp.hAPP (tptp.hAPP @t324 @t310) @t207)))))) % 1.12/1.34 (assume @p414 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t305 (tptp.hAPP @t521 @t518)) @t523) (tptp.hAPP @t521 (tptp.hAPP @t519 @t523))))) % 1.12/1.34 (assume @p415 (forall @t139 (= (tptp.hAPP @t525 @t134) (tptp.hAPP (tptp.hAPP @t305 @t134) @t135)))) % 1.12/1.34 (assume @p416 (forall @t159 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t529 (tptp.hAPP @t527 @t154)) @t33) (and @t526 (= @t154 @t33))))) % 1.12/1.34 (assume @p417 (forall @t531 (=> @t530 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t135 @t60) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t135 @t59))))) % 1.12/1.34 (assume @p418 (forall @t534 (=> @t533 (= (= (tptp.hAPP @t532 @t48) (tptp.hAPP @t532 @t47)) @t49)))) % 1.12/1.34 (assume @p419 (forall @t534 (=> @t533 (= (= (tptp.hAPP (tptp.hAPP @t305 @t48) @t247) (tptp.hAPP (tptp.hAPP @t305 @t47) @t247)) @t49)))) % 1.12/1.34 (assume @p420 (forall @t535 (=> @t316 (= (tptp.c_Groups_Oplus__class_Oplus @t96 @t98 @t310) @t310)))) % 1.12/1.34 (assume @p421 (forall @t151 (=> @t316 (= (tptp.c_Groups_Oplus__class_Oplus @t96 @t150 @t98) @t150)))) % 1.12/1.34 (assume @p422 (forall @t537 (= (tptp.hAPP @t536 @t135) @t135))) % 1.12/1.34 (assume @p423 (forall @t535 (=> @t100 (= (tptp.hAPP (tptp.hAPP @t324 @t98) @t310) @t98)))) % 1.12/1.34 (assume @p424 (forall @t151 (=> @t100 (= (tptp.hAPP @t325 @t98) @t98)))) % 1.12/1.34 (assume @p425 (forall @t539 (=> @t100 (= (tptp.c_Polynomial_Osmult @t11 @t12 @t313) (tptp.c_Groups_Oplus__class_Oplus @t96 @t322 @t538))))) % 1.12/1.34 (assume @p426 (forall @t539 (=> @t100 (= (tptp.hAPP (tptp.hAPP @t324 @t322) @t310) @t540)))) % 1.12/1.34 (assume @p427 (forall @t541 (=> @t100 (= (tptp.hAPP @t325 @t538) @t540)))) % 1.12/1.34 (assume @p428 (forall (@list @t59 @t60 @t135) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t135) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t60 @t59) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t525 @t60) (tptp.hAPP @t525 @t59)))))) % 1.12/1.34 (assume @p429 (forall @t515 (=> @t200 (=> @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t543))))) % 1.12/1.34 (assume @p430 (forall @t548 (=> @t547 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t546 @t545) @t158)))) % 1.12/1.34 (assume @p431 (forall (@list @t549 @t550) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t550 @t549) (tptp.hAPP (tptp.hAPP @t305 @t550) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t549))))) % 1.12/1.34 (assume @p432 (forall @t515 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t60 @t59) (tptp.hAPP @t542 (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t59))))) % 1.12/1.34 (assume @p433 (forall @t548 (=> @t547 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t551 @t29) (tptp.hAPP @t551 @t154)) @t157)))) % 1.12/1.34 (assume @p434 (forall @t548 (=> @t547 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t546 @t545) @t157)))) % 1.12/1.34 (assume @p435 (forall @t201 (=> (not (= @t60 @t33)) (= (tptp.hAPP @t553 @t60) @t23)))) % 1.12/1.34 (assume @p436 (forall @t554 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t134) (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 @t134 @t135)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t135))))) % 1.12/1.34 (assume @p437 (forall @t146 (=> @t319 (= (= @t318 @t16) @t152)))) % 1.12/1.34 (assume @p438 (forall (@list @t59 @t60 @t86 @t11) (=> @t36 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t86 @t33) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 (tptp.hAPP (tptp.hAPP @t305 @t86) @t304)) @t106))))) % 1.12/1.34 (assume @p439 (forall @t555 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t210)))) % 1.12/1.34 (assume @p440 (forall @t560 (=> @t200 (=> @t559 (=> @t558 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t553 @t59) (tptp.hAPP (tptp.hAPP @t305 @t557) @t399))))))) % 1.12/1.34 (assume @p441 (forall @t560 (=> @t200 (=> @t559 (=> @t558 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t305 @t59) @t552) (tptp.hAPP (tptp.hAPP @t305 @t399) @t557))))))) % 1.12/1.34 (assume @p442 (forall @t561 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t529)) @t526))) % 1.12/1.34 (assume @p443 (forall @t555 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t210 @t439))) % 1.12/1.34 (assume @p444 (forall @t564 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t562 @t210) @t563))) % 1.12/1.34 (assume @p445 (forall @t567 (=> (= @t566 @t216) @t565))) % 1.12/1.34 (assume @p446 (forall @t567 (=> (= @t216 @t571) (or (= @t439 @t568) (= @t216 @t210))))) % 1.12/1.34 (assume @p447 (forall @t581 (= (= @t580 @t578) @t576))) % 1.12/1.34 (assume @p448 (forall @t586 (= @t585 @t576))) % 1.12/1.34 (assume @p449 (forall @t589 (= (= @t588 @t210) (or @t587 @t563)))) % 1.12/1.34 (assume @p450 (forall @t589 (= (= @t590 @t210) (and @t587 @t563)))) % 1.12/1.34 (assume @p451 (forall @t591 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t210) @t216))) % 1.12/1.34 (assume @p452 (forall @t591 (= (tptp.hAPP @t570 @t210) @t210))) % 1.12/1.34 (assume @p453 (forall @t555 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t210 @t439) @t439))) % 1.12/1.34 (assume @p454 (forall @t555 (= (tptp.hAPP (tptp.hAPP @t569 @t210) @t439) @t210))) % 1.12/1.34 (assume @p455 (forall (@list @t592 @t562 @t574) (=> (=> @t596 @t594) (=> (=> @t575 @t594) (=> (=> @t595 @t594) @t594))))) % 1.12/1.34 (assume @p456 (forall (@list @t597 @t372) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t372 @t597) (not (= @t372 @t597))))) % 1.12/1.34 (assume @p457 (forall @t600 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t216) @t599))) % 1.12/1.34 (assume @p458 (forall @t555 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t439)))) % 1.12/1.34 (assume @p459 (forall @t515 (=> @t80 (=> (not @t601) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t59 @t60))))) % 1.12/1.34 (assume @p460 (forall @t589 (= @t602 (or @t596 @t595)))) % 1.12/1.34 (assume @p461 (forall (@list @t142 @t141) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t603 @t141)))) % 1.12/1.34 (assume @p462 (forall (@list @t141 @t142) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t141) @t141)))) % 1.12/1.34 (assume @p463 (forall @t586 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t605 @t604) @t596))) % 1.12/1.34 (assume @p464 (forall @t608 (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t606)))) % 1.12/1.34 (assume @p465 (forall @t608 (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t609)))) % 1.12/1.34 (assume @p466 (forall @t143 (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t611 @t610)))) % 1.12/1.34 (assume @p467 (forall @t615 (=> @t607 (=> @t614 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t611 @t613))))) % 1.12/1.34 (assume @p468 (forall (@list @t439 @t216 @t612 @t140) (=> @t614 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t612) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t140 @t439)) @t616)))) % 1.12/1.34 (assume @p469 (forall @t143 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t603 @t140) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t140)))) % 1.12/1.34 (assume @p470 (forall @t567 (=> (or @t616 @t598) @t617))) % 1.12/1.34 (assume @p471 (forall @t567 (=> @t617 (=> @t599 @t616)))) % 1.12/1.34 (assume @p472 (forall @t567 (=> @t616 @t617))) % 1.12/1.34 (assume @p473 (forall @t589 (= @t618 (or @t596 @t575)))) % 1.12/1.34 (assume @p474 (forall @t589 (= @t596 (and @t618 @t602)))) % 1.12/1.34 (assume @p475 (forall @t564 (= @t620 @t619))) % 1.12/1.34 (assume @p476 (forall @t567 (=> @t616 @t621))) % 1.12/1.34 (assume @p477 (forall @t555 (=> @t621 @t622))) % 1.12/1.34 (assume @p478 (forall @t143 (=> @t607 (=> @t626 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t625 @t624))))) % 1.12/1.34 (assume @p479 (forall @t143 (=> @t607 (=> @t626 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t630 @t628))))) % 1.12/1.34 (assume @p480 (forall @t581 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580 @t578) @t632))) % 1.12/1.34 (assume @p481 (forall @t586 (= @t633 @t632))) % 1.12/1.34 (assume @p482 (forall @t581 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t580 @t578) @t634))) % 1.12/1.34 (assume @p483 (forall @t586 (= @t635 @t634))) % 1.12/1.34 (assume @p484 (forall @t589 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t588) (and @t636 @t619)))) % 1.12/1.34 (assume @p485 (forall @t589 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t590) (or @t636 @t619)))) % 1.12/1.34 (assume @p486 (forall (@list @t12 @t207) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t376 @t12) (tptp.hAPP @t376 @t207)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t12 @t207)))) % 1.12/1.34 (assume @p487 (not (forall @t513 (=> @t512 (not @t511))))) % 1.12/1.34 (assume @p488 (forall @t84 (=> @t19 (exists @t641 (and @t640 @t639))))) % 1.12/1.34 (assume @p489 (forall @t27 (=> @t292 (exists @t641 (and @t640 @t644))))) % 1.12/1.34 (assume @p490 (forall @t75 (=> @t292 (exists @t641 (and @t640 @t645))))) % 1.12/1.34 (assume @p491 (forall @t555 (= (tptp.hAPP (tptp.hAPP @t569 @t568) @t439) @t439))) % 1.12/1.34 (assume @p492 (forall @t589 (= (= @t568 @t588) @t648))) % 1.12/1.34 (assume @p493 (forall @t555 (= (tptp.hAPP @t649 @t568) @t439))) % 1.12/1.34 (assume @p494 (forall @t589 (= (= @t588 @t568) @t648))) % 1.12/1.34 (assume @p495 (forall @t652 (=> @t651 (not (=> @t617 (not @t650)))))) % 1.12/1.34 (assume @p496 (forall @t652 (=> @t651 @t617))) % 1.12/1.34 (assume @p497 (forall @t652 (=> @t651 @t650))) % 1.12/1.34 (assume @p498 (forall @t615 (=> @t654 (=> @t653 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t630 (tptp.hAPP @t627 @t612)))))) % 1.12/1.34 (assume @p499 (forall @t615 (=> @t654 (=> @t653 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t611 @t613))))) % 1.12/1.34 (assume @p500 (forall @t567 (=> @t617 (=> @t655 @t598)))) % 1.12/1.34 (assume @p501 (forall @t143 (=> @t654 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t142 @t140) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t140))))) % 1.12/1.34 (assume @p502 (forall @t143 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t625 @t624)))) % 1.12/1.34 (assume @p503 (forall @t143 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t630 @t628)))) % 1.12/1.34 (assume @p504 (forall @t143 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t611 @t610)))) % 1.12/1.34 (assume @p505 (forall @t608 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t609)))) % 1.12/1.34 (assume @p506 (forall @t608 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t606)))) % 1.12/1.34 (assume @p507 (forall @t567 (=> @t598 @t617))) % 1.12/1.34 (assume @p508 (forall @t586 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t605 @t604) @t618))) % 1.12/1.34 (assume @p509 (forall @t567 (or @t617 @t655))) % 1.12/1.34 (assume @p510 (forall @t589 (= @t618 (exists @t657 (= @t562 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t574 @t656)))))) % 1.12/1.34 (assume @p511 (forall (@list @t659 @t572) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t572 @t659) (exists @t660 (= @t659 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t572 @t658)))))) % 1.12/1.34 (assume @p512 (forall @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 (tptp.hAPP @t570 @t661)))) % 1.12/1.34 (assume @p513 (forall @t600 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t662))) % 1.12/1.34 (assume @p514 (forall @t600 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t566))) % 1.12/1.34 (assume @p515 (forall @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 @t661))) % 1.12/1.34 (assume @p516 (forall @t555 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t439))) % 1.12/1.34 (assume @p517 (forall @t567 (= @t566 @t662))) % 1.12/1.34 (assume @p518 (forall @t567 (= @t571 @t663))) % 1.12/1.34 (assume @p519 (forall @t531 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t664) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t59 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t135))))) % 1.12/1.34 (assume @p520 (forall @t667 (= (tptp.hAPP @t623 @t566) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t666 @t665)))) % 1.12/1.34 (assume @p521 (forall @t668 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t566 @t140) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t439 @t140))))) % 1.12/1.34 (assume @p522 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t569 @t571) @t140) (tptp.hAPP @t570 @t669)))) % 1.12/1.34 (assume @p523 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t569 @t566) @t140) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t670 @t669)))) % 1.12/1.34 (assume @p524 (forall @t586 (= (= @t605 @t604) @t575))) % 1.12/1.34 (assume @p525 (forall @t581 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t574 @t572) @t671) @t575))) % 1.12/1.34 (assume @p526 (forall @t586 (=> @t631 (= @t633 @t618)))) % 1.12/1.34 (assume @p527 (forall @t586 (=> @t631 (= @t585 @t575)))) % 1.12/1.34 (assume @p528 (forall @t586 (=> @t631 (= @t635 @t596)))) % 1.12/1.34 (assume @p529 (forall @t84 (=> @t292 (exists @t641 (and @t640 @t672))))) % 1.12/1.34 (assume @p530 (forall @t586 (= @t585 (or @t573 @t575)))) % 1.12/1.34 (assume @p531 (forall (@list @t140 @t142 @t399 @t141) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t629 @t399) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t627 @t399) @t140)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t569 @t603) @t399) @t140)))) % 1.12/1.34 (assume @p532 (forall @t674 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t135) @t673))) % 1.12/1.34 (assume @p533 (forall @t531 (=> @t675 @t673))) % 1.12/1.34 (assume @p534 (forall @t515 (=> @t601 @t675))) % 1.12/1.34 (assume @p535 (forall @t531 (=> @t601 @t676))) % 1.12/1.34 (assume @p536 (forall @t674 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t135) @t676))) % 1.12/1.34 (assume @p537 (forall @t683 (=> @t486 (= (tptp.c_SEQ_Odecseq @t11 @t678) (forall @t682 (=> @t681 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t680 @t679))))))) % 1.12/1.34 (assume @p538 (forall (@list @t150 @t207) (exists (@list @t677) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t677) (forall @t203 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t202) @t207) (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 @t150) @t202)) @t677))))))) % 1.12/1.34 (assume @p539 (forall (@list @t562 @t592) (=> (not @t689) (=> @t688 (exists @t657 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t656 @t562) (forall @t687 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t684 @t656) (not @t686))) (tptp.hBOOL (tptp.hAPP @t592 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t656 @t568))))))))) % 1.12/1.34 (assume @p540 (forall @t84 (=> @t19 (exists @t641 (and @t690 @t639))))) % 1.12/1.34 (assume @p541 (forall @t27 (=> @t292 (exists @t641 (and @t690 @t644))))) % 1.12/1.34 (assume @p542 (forall @t75 (=> @t292 (exists @t641 (and @t690 @t645))))) % 1.12/1.34 (assume @p543 (forall @t84 (=> @t292 (exists @t641 (and @t690 @t672))))) % 1.12/1.34 (assume @p544 (forall @t66 (=> @t57 (=> (forall @t203 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t202) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t202 @t24) (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.hAPP (tptp.hAPP @t218 @t202) @t60) @t59)))) @t196)))) % 1.12/1.34 (assume @p545 (forall @t683 (=> @t36 (= @t693 @t692)))) % 1.12/1.34 (assume @p546 (forall @t683 (=> @t486 (= (tptp.c_SEQ_Oincseq @t11 @t678) (forall @t682 (=> @t681 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t679 @t680))))))) % 1.12/1.34 (assume @p547 (forall @t201 (=> @t696 (= (tptp.c_RComplete_Onatceiling @t695) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t694 @t568))))) % 1.12/1.34 (assume @p548 (= (tptp.c_RComplete_Onatceiling @t33) @t210)) % 1.12/1.34 (assume @p549 (forall @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t210 @t694))) % 1.12/1.34 (assume @p550 (forall @t515 (=> @t530 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t694 (tptp.c_RComplete_Onatceiling @t59))))) % 1.12/1.34 (assume @p551 (= (tptp.c_RComplete_Onatceiling @t23) @t568)) % 1.12/1.34 (assume @p552 (forall @t201 (=> @t697 (= @t694 @t210)))) % 1.12/1.34 (assume @p553 (forall @t561 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t698 @t568) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t29 @t23)))) % 1.12/1.34 (assume @p554 (forall @t201 (=> @t696 (= (tptp.c_RComplete_Onatfloor @t695) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t699 @t568))))) % 1.12/1.34 (assume @p555 (forall @t702 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t700 @t60) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t60 @t701) (= @t694 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t439 @t568)))))) % 1.12/1.34 (assume @p556 (forall @t683 (=> @t36 (=> @t693 @t692)))) % 1.12/1.34 (assume @p557 (forall @t555 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t700))) % 1.12/1.34 (assume @p558 (forall @t201 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t703 @t23)))) % 1.12/1.34 (assume @p559 (forall @t706 (=> @t174 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t48 @t705) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t704 @t29))))) % 1.12/1.34 (assume @p560 (forall @t201 (=> @t696 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t703 @t60)))) % 1.12/1.34 (assume @p561 (forall @t709 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t708 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t707)))) % 1.12/1.34 (assume @p562 (forall @t555 (= (tptp.c_RComplete_Onatfloor @t700) @t439))) % 1.12/1.34 (assume @p563 (forall @t555 (= (tptp.c_RComplete_Onatceiling @t700) @t439))) % 1.12/1.34 (assume @p564 (forall @t712 (= (= @t711 @t710) (= @t562 @t574)))) % 1.12/1.34 (assume @p565 (forall @t564 (= (= @t711 @t33) @t563))) % 1.12/1.34 (assume @p566 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t210) @t33)) % 1.12/1.34 (assume @p567 (forall @t555 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t700 @t33)))) % 1.12/1.34 (assume @p568 (forall @t712 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t711 @t710) @t595))) % 1.12/1.34 (assume @p569 (forall @t712 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t711 @t710) @t713))) % 1.12/1.34 (assume @p570 (forall @t714 (=> @t696 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t60 @t700) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t699 @t439))))) % 1.12/1.34 (assume @p571 (forall @t567 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t571) (tptp.hAPP (tptp.hAPP @t305 @t715) @t700)))) % 1.12/1.34 (assume @p572 (forall @t567 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t566) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t715 @t700)))) % 1.12/1.34 (assume @p573 (forall @t709 (=> @t696 (= (tptp.c_RComplete_Onatfloor @t717) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t699 @t12))))) % 1.12/1.34 (assume @p574 (forall @t718 (=> (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 @t135) @t568) @t439) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t135 @t700)))) % 1.12/1.34 (assume @p575 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t568) @t23)) % 1.12/1.34 (assume @p576 (forall @t702 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t700 @t60) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t60 @t701) (= @t699 @t439))))) % 1.12/1.34 (assume @p577 (forall @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t60 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t694)))) % 1.12/1.34 (assume @p578 (= (tptp.c_RComplete_Onatfloor @t33) @t210)) % 1.12/1.34 (assume @p579 (forall @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t210 @t699))) % 1.12/1.34 (assume @p580 (forall @t515 (=> @t530 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t699 (tptp.c_RComplete_Onatfloor @t59))))) % 1.12/1.34 (assume @p581 (= (tptp.c_RComplete_Onatfloor @t23) @t568)) % 1.12/1.34 (assume @p582 (forall @t564 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t711 @t33) @t563))) % 1.12/1.34 (assume @p583 (forall @t709 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t60 @t716) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t694 @t12)))) % 1.12/1.34 (assume @p584 (forall @t201 (=> @t697 (= @t699 @t210)))) % 1.12/1.34 (assume @p585 (forall @t564 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t711) @t619))) % 1.12/1.34 (assume @p586 (forall @t712 (= @t595 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t711 @t23) @t710)))) % 1.12/1.34 (assume @p587 (forall @t712 (= @t713 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t711 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t710 @t23))))) % 1.12/1.34 (assume @p588 (forall @t706 (=> @t174 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t698 @t48) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t29 @t704))))) % 1.12/1.34 (assume @p589 (forall @t561 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t568 @t705) @t719))) % 1.12/1.34 (assume @p590 (forall @t709 (=> @t696 (= (tptp.c_RComplete_Onatceiling @t717) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t694 @t12))))) % 1.12/1.34 (assume @p591 (forall @t720 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t10) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t569 @t707) (tptp.c_RComplete_Onatfloor @t10)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t305 @t12) @t10))))))) % 1.12/1.34 (assume @p592 (forall @t515 (=> @t721 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t59) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t60 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t59))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t699 @t59)))))) % 1.12/1.34 (assume @p593 (forall (@list @t678 @t722 @t11) (=> @t36 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t722) (=> (forall @t660 @t723) @t693))))) % 1.12/1.34 (assume @p594 (forall @t714 (=> @t696 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t725 @t60) @t23) (tptp.hAPP (tptp.hAPP @t724 @t695) @t439))))) % 1.12/1.34 (assume @p595 (forall @t75 (=> @t97 (= (tptp.hAPP @t727 @t568) @t60)))) % 1.12/1.34 (assume @p596 (forall (@list @t310 @t59 @t60 @t11) (=> @t97 (= (tptp.hAPP (tptp.hAPP @t726 @t245) @t310) (tptp.hAPP (tptp.hAPP @t218 @t729) (tptp.hAPP @t728 @t310)))))) % 1.12/1.34 (assume @p597 (forall @t733 (=> @t26 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t732 @t730)))) % 1.12/1.34 (assume @p598 (forall @t735 (=> @t97 (= (tptp.hAPP (tptp.hAPP @t726 @t734) @t310) (tptp.hAPP @t727 (tptp.hAPP (tptp.hAPP @t569 @t150) @t310)))))) % 1.12/1.34 (assume @p599 (forall (@list @t60 @t439 @t150 @t11) (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t96) @t150) @t439)) @t60) (tptp.hAPP (tptp.hAPP @t726 @t312) @t439))))) % 1.12/1.34 (assume @p600 (forall @t733 (=> @t149 (= @t732 @t730)))) % 1.12/1.34 (assume @p601 (forall @t667 (and (=> @t739 (= @t737 @t210)) (=> (not @t739) @t738)))) % 1.12/1.34 (assume @p602 (forall @t75 (=> @t97 (= (tptp.hAPP @t727 @t210) @t24)))) % 1.12/1.34 (assume @p603 (forall @t735 (=> @t97 (= (tptp.hAPP (tptp.hAPP @t218 @t734) @t729) (tptp.hAPP @t727 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t150 @t310)))))) % 1.12/1.34 (assume @p604 (forall @t667 (=> @t626 @t738))) % 1.12/1.34 (assume @p605 (forall @t702 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t741 @t740))) % 1.12/1.34 (assume @p606 (forall @t746 (=> @t85 (=> @t94 (=> @t388 (=> @t622 @t745)))))) % 1.12/1.34 (assume @p607 (forall @t752 (= (tptp.hBOOL (tptp.hAPP @t592 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t562 @t572))) (and (=> @t573 @t689) (=> @t751 (forall @t750 (=> @t749 (=> @t748 @t686)))))))) % 1.12/1.34 (assume @p608 (forall @t754 (=> @t85 (=> @t753 (=> @t622 (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t744)))))) % 1.12/1.34 (assume @p609 (forall @t531 (= (tptp.hAPP (tptp.hAPP @t755 @t757) @t135) (tptp.hAPP @t756 (tptp.hAPP (tptp.hAPP @t569 @t59) @t135))))) % 1.12/1.34 (assume @p610 (forall @t531 (= (tptp.hAPP @t756 @t664) (tptp.hAPP (tptp.hAPP @t758 @t757) (tptp.hAPP @t756 @t135))))) % 1.12/1.34 (assume @p611 (forall @t763 (= @t762 (or @t759 @t563)))) % 1.12/1.34 (assume @p612 (forall @t767 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t141) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t766 @t765) @t616)))) % 1.12/1.34 (assume @p613 (forall @t567 (= @t769 @t768))) % 1.12/1.34 (assume @p614 (forall @t567 (= @t768 @t769))) % 1.12/1.34 (assume @p615 (forall @t714 (=> (= @t60 @t703) (= (tptp.c_RComplete_Onatfloor @t770) (tptp.hAPP (tptp.hAPP @t760 @t699) @t439))))) % 1.12/1.34 (assume @p616 (forall @t754 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t11) (=> @t42 (not (= @t744 @t16)))))) % 1.12/1.34 (assume @p617 (forall @t754 (=> @t352 (= (tptp.hAPP @t772 @t12) @t771)))) % 1.12/1.34 (assume @p618 (forall @t746 (=> @t351 (= (tptp.hAPP (tptp.hAPP @t726 @t230) @t439) (tptp.hAPP @t772 @t742))))) % 1.12/1.34 (assume @p619 (forall @t773 (=> @t352 (= (tptp.hAPP (tptp.hAPP @t726 @t24) @t439) @t24)))) % 1.12/1.34 (assume @p620 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t12 @t16) @t16)))) % 1.12/1.34 (assume @p621 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t16 @t12) @t16)))) % 1.12/1.34 (assume @p622 (forall @t746 (=> @t21 @t775))) % 1.12/1.34 (assume @p623 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t12 @t24) @t12)))) % 1.12/1.34 (assume @p624 (forall @t777 (=> @t352 (= (tptp.hAPP @t743 @t571) (tptp.hAPP (tptp.hAPP @t726 @t776) @t439))))) % 1.12/1.34 (assume @p625 (forall @t754 (=> @t44 @t778))) % 1.12/1.34 (assume @p626 (forall @t45 (=> @t352 (= (tptp.hAPP @t743 @t568) @t12)))) % 1.12/1.34 (assume @p627 (forall @t668 (=> @t617 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t216 @t140) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t439 @t140))))) % 1.12/1.34 (assume @p628 (forall @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t736 @t216))) % 1.12/1.34 (assume @p629 (forall @t782 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t12 @t781) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t779 @t86)))) % 1.12/1.34 (assume @p630 (forall @t754 (=> @t85 (=> @t388 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t16 @t744))))) % 1.12/1.34 (assume @p631 (forall @t746 (=> @t85 (=> @t161 (=> @t388 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t744 @t742)))))) % 1.12/1.34 (assume @p632 (forall @t754 (=> @t85 (=> @t121 (tptp.c_Orderings_Oord__class_Oless @t11 @t16 @t744))))) % 1.12/1.34 (assume @p633 (forall @t754 (=> @t85 (=> @t783 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t744))))) % 1.12/1.34 (assume @p634 (forall @t787 (=> (and @t786 @t380 @t378 @t83) (= (= @t785 @t16) (and @t152 @t620))))) % 1.12/1.34 (assume @p635 (forall (@list @t562 @t574 @t48 @t11) (=> @t85 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t48) (= (= (tptp.hAPP @t784 @t574) @t785) @t575))))) % 1.12/1.34 (assume @p636 (forall @t339 (=> @t774 (and (=> @t440 (= @t789 @t16)) @t790)))) % 1.12/1.34 (assume @p637 (forall @t20 (=> @t774 (=> @t18 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t230 @t10) @t12))))) % 1.12/1.34 (assume @p638 (forall @t20 (=> @t774 (=> @t18 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t229 @t10) @t12))))) % 1.12/1.34 (assume @p639 (forall @t339 (=> @t774 (=> @t441 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t264 @t258) @t788))))) % 1.12/1.34 (assume @p640 (forall @t339 (=> @t774 @t790))) % 1.12/1.34 (assume @p641 (forall (@list @t439 @t12 @t10 @t11) (=> @t208 (=> @t18 @t775)))) % 1.12/1.34 (assume @p642 (forall @t45 (=> @t774 (=> @t42 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t12 @t12) @t24))))) % 1.12/1.34 (assume @p643 (forall @t45 (=> @t786 (= (tptp.hAPP @t743 @t210) @t24)))) % 1.12/1.34 (assume @p644 (forall @t777 (=> @t352 (= (tptp.hAPP @t743 @t566) (tptp.hAPP (tptp.hAPP @t218 @t776) @t744))))) % 1.12/1.34 (assume @p645 (forall @t754 (=> @t46 (=> @t42 @t778)))) % 1.12/1.34 (assume @p646 (forall @t754 (=> @t21 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t24 @t744) (tptp.hAPP (tptp.hAPP @t726 @t180) @t439))))) % 1.12/1.34 (assume @p647 (forall @t567 (=> @t616 (= @t736 @t210)))) % 1.12/1.34 (assume @p648 (forall @t791 (=> @t85 (=> @t745 (=> @t391 @t94))))) % 1.12/1.34 (assume @p649 (forall @t754 (=> @t85 (=> @t753 (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t771))))) % 1.12/1.34 (assume @p650 (forall @t754 (=> @t85 (=> @t753 (tptp.c_Orderings_Oord__class_Oless @t11 @t744 @t771))))) % 1.12/1.34 (assume @p651 (forall @t773 (=> (and @t786 @t793) (and (=> @t565 (= @t792 @t24)) (=> @t621 (= @t792 @t16)))))) % 1.12/1.34 (assume @p652 (forall @t92 (=> @t774 (=> @t18 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t795 @t10) @t794))))) % 1.12/1.34 (assume @p653 (forall @t92 (=> @t774 (=> @t18 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t796 @t10) @t794))))) % 1.12/1.34 (assume @p654 (forall @t20 (=> @t774 (=> @t18 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t255 @t10) @t797))))) % 1.12/1.34 (assume @p655 (forall @t20 (=> @t774 (=> @t18 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t285 @t10) @t797))))) % 1.12/1.34 (assume @p656 (forall @t802 (=> @t85 (=> @t801 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t800 @t799) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t154)))))) % 1.12/1.34 (assume @p657 (forall @t777 (=> @t85 (=> @t753 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t776 @t744) @t616))))) % 1.12/1.34 (assume @p658 (forall @t806 (=> @t85 (=> @t805 (=> @t753 (tptp.c_Orderings_Oord__class_Oless @t11 @t744 @t804)))))) % 1.12/1.34 (assume @p659 (forall @t806 (=> @t85 (=> @t807 (=> @t783 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t744 @t804)))))) % 1.12/1.34 (assume @p660 (forall @t668 (=> @t808 (=> @t617 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t140 @t439) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t140 @t216)))))) % 1.12/1.34 (assume @p661 (forall @t600 (=> @t622 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t663 @t439) @t216)))) % 1.12/1.34 (assume @p662 (forall @t600 (=> @t622 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t571 @t439) @t216)))) % 1.12/1.34 (assume @p663 (forall @t600 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t568 @t439) (=> @t808 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t736 @t216))))) % 1.12/1.34 (assume @p664 (forall @t754 (=> @t85 (=> @t121 (=> @t188 (tptp.c_Orderings_Oord__class_Oless @t11 @t771 @t744)))))) % 1.12/1.34 (assume @p665 (forall @t806 (=> @t85 (=> @t805 (=> @t121 (=> @t188 (tptp.c_Orderings_Oord__class_Oless @t11 @t804 @t744))))))) % 1.12/1.34 (assume @p666 (forall @t791 (=> @t85 (=> (= @t744 @t742) (=> @t388 (=> @t391 (=> @t622 @t131))))))) % 1.12/1.34 (assume @p667 (forall @t806 (=> @t85 (=> @t807 (=> @t388 (=> @t173 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t804 @t744))))))) % 1.12/1.34 (assume @p668 (forall @t777 (=> @t85 (=> @t753 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t776 @t744) @t617))))) % 1.12/1.34 (assume @p669 (forall @t802 (=> @t85 (=> @t801 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t800 @t799) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t154)))))) % 1.12/1.34 (assume @p670 (forall (@list @t439 @t10) (=> (not (= @t10 @t7)) (=> @t621 (exists @t203 (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 @t124 (tptp.hAPP (tptp.hAPP @t204 @t10) (tptp.hAPP (tptp.hAPP @t809 @t202) @t439)))) @t23)))))) % 1.12/1.34 (assume @p671 (forall @t27 (=> @t786 (= @t726 (tptp.c_Power_Opower_Opower @t11 @t24 @t218))))) % 1.12/1.34 (assume @p672 (forall @t763 (= @t762 (or @t563 @t759)))) % 1.12/1.34 (assume @p673 (forall @t752 (= (tptp.hBOOL @t819) (and (=> @t818 (tptp.hBOOL (tptp.hAPP @t592 @t812))) (=> @t817 (forall @t687 (=> (exists @t814 @t816) @t686))) (=> @t815 (forall @t687 (=> (exists @t814 @t813) @t686))))))) % 1.12/1.34 (assume @p674 (forall @t824 (=> @t823 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t12 @t822) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t820 @t86))))) % 1.12/1.34 (assume @p675 (forall (@list @t828 @t59 @t825 @t826) (=> (= @t826 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t831 @t59) @t828)) (=> (and (=> @t829 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t828) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t828 @t825))) (=> @t830 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t825 @t828) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t828 @t812)))) (=> @t827 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t826 @t825) @t59)))))) % 1.12/1.34 (assume @p676 (forall @t843 (=> @t842 (=> @t840 (=> @t838 (=> @t837 (=> @t835 (=> @t834 @t833)))))))) % 1.12/1.34 (assume @p677 (forall @t848 (=> @t847 (=> @t846 (=> @t845 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t10 @t836) @t844)))))) % 1.12/1.34 (assume @p678 (forall @t843 (=> @t842 (=> @t851 (=> @t850 (=> @t849 (=> @t835 (=> @t834 @t844)))))))) % 1.12/1.34 (assume @p679 (forall @t848 (=> @t847 (=> @t837 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t836 @t10) (=> @t838 @t833)))))) % 1.12/1.34 (assume @p680 (forall @t852 (=> @t840 (=> @t837 (=> @t835 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t832 @t812)))))) % 1.12/1.35 (assume @p681 (forall @t852 (=> @t851 (=> @t850 (=> @t835 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t832)))))) % 1.12/1.35 (assume @p682 (forall @t857 (=> @t856 (=> @t855 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t207 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t853 @t310)))))) % 1.12/1.35 (assume @p683 (forall @t857 (=> @t856 (=> @t855 (=> @t849 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t310 @t853)))))) % 1.12/1.35 (assume @p684 (forall @t589 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t574) (= (= (tptp.hAPP (tptp.hAPP @t758 @t574) @t562) @t853) (and (= @t574 @t853) (= @t562 @t853)))))) % 1.12/1.35 (assume @p685 (forall @t143 (=> @t859 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t140) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t858 @t141) (tptp.hAPP @t858 @t142)))))) % 1.12/1.35 (assume @p686 (forall @t522 (= (tptp.hAPP (tptp.hAPP @t758 @t862) @t134) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t861 @t134) (tptp.hAPP @t860 @t134))))) % 1.12/1.35 (assume @p687 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t758 (tptp.hAPP @t861 @t518)) @t523) (tptp.hAPP @t861 (tptp.hAPP @t860 @t523))))) % 1.12/1.35 (assume @p688 (forall (@list @t518 @t520 @t134) (= (tptp.hAPP @t863 @t862) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t863 @t520) (tptp.hAPP @t863 @t518))))) % 1.12/1.35 (assume @p689 (forall @t139 (= (tptp.hAPP @t864 @t134) (tptp.hAPP @t863 @t135)))) % 1.12/1.35 (assume @p690 (forall @t537 (= (tptp.hAPP @t864 @t853) @t135))) % 1.12/1.35 (assume @p691 (forall @t537 (= (tptp.hAPP (tptp.hAPP @t758 @t853) @t135) @t135))) % 1.12/1.35 (assume @p692 (forall @t867 (=> @t208 (= (tptp.c_Divides_Odiv__class_Odiv @t96 @t866 @t59) (tptp.c_Polynomial_Osmult @t11 @t12 @t865))))) % 1.12/1.35 (assume @p693 (forall @t246 (=> @t208 (= (tptp.c_Divides_Odiv__class_Odiv @t96 @t60 @t869) (tptp.c_Divides_Odiv__class_Odiv @t96 @t865 @t135))))) % 1.12/1.35 (assume @p694 (forall (@list @t48 @t871 @t870 @t11) (= (tptp.hAPP @t872 @t210) @t870))) % 1.12/1.35 (assume @p695 (forall @t867 (=> @t208 (=> @t42 (= (tptp.c_Divides_Odiv__class_Odiv @t96 @t60 @t873) (tptp.c_Polynomial_Osmult @t11 @t128 @t865)))))) % 1.12/1.35 (assume @p696 (forall (@list @t60 @t150 @t439 @t11) (=> @t874 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 (tptp.hAPP (tptp.hAPP @t324 (tptp.c_Polynomial_Omonom @t11 @t24 @t439)) @t150)) @t60) (tptp.hAPP (tptp.hAPP @t218 @t731) @t312))))) % 1.12/1.35 (assume @p697 (forall (@list @t439 @t12 @t207) (= (tptp.hAPP (tptp.hAPP @t809 (tptp.c_Complex_Orcis @t207 @t12)) @t439) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t724 @t207) @t439) (tptp.hAPP @t725 @t12))))) % 1.12/1.35 (assume @p698 (forall @t877 (=> @t622 (=> @t876 (exists (@list @t875) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t875) (= (tptp.hAPP (tptp.hAPP @t724 @t875) @t439) @t12))))))) % 1.12/1.35 (assume @p699 (forall (@list @t572 @t878) (= (= @t879 @t812) (or @t818 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t878) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t878 @t572)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t878 @t812) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t878)))))) % 1.12/1.35 (assume @p700 (forall @t884 (=> @t883 (= @t882 @t880)))) % 1.12/1.35 (assume @p701 (forall (@list @t878 @t572) (=> @t817 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t879) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t572 @t878))))) % 1.12/1.35 (assume @p702 (forall (@list @t47 @t48) (=> @t880 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t881) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t47 @t48) @t883))))) % 1.12/1.35 (assume @p703 (forall (@list @t140 @t60) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t60) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t853 @t140) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t60 @t140) @t60))))) % 1.12/1.35 (assume @p704 (forall @t887 (=> @t886 (=> @t835 (=> @t834 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t820 @t885)))))) % 1.12/1.35 (assume @p705 (forall @t720 (=> @t886 (=> @t889 @t888)))) % 1.12/1.35 (assume @p706 (forall @t720 (=> @t886 (=> @t891 @t890)))) % 1.12/1.35 (assume @p707 (forall @t884 (=> @t892 (= @t882 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t48 @t812))))) % 1.12/1.35 (assume @p708 (forall @t720 (=> @t894 (=> @t893 @t888)))) % 1.12/1.35 (assume @p709 (forall @t887 (=> @t895 (=> @t835 (=> @t834 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t885 @t820)))))) % 1.12/1.35 (assume @p710 (forall @t720 (=> @t894 (=> @t896 @t890)))) % 1.12/1.35 (assume @p711 (forall @t899 (=> @t898 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t820 @t897))))) % 1.12/1.35 (assume @p712 (forall @t899 (=> @t898 (=> @t889 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t897 @t820))))) % 1.12/1.35 (assume @p713 (forall @t900 (=> (not (= @t12 @t812)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t12 @t12) @t853)))) % 1.12/1.35 (assume @p714 (forall @t515 (=> @t902 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t60 @t59)))))) % 1.12/1.35 (assume @p715 (forall @t903 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t812 @t10) @t812))) % 1.12/1.35 (assume @p716 (forall @t720 (=> @t895 (=> @t893 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t820 @t812))))) % 1.12/1.35 (assume @p717 (forall @t884 (=> @t892 (= @t904 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t48))))) % 1.12/1.35 (assume @p718 (forall @t884 (=> @t883 (= @t904 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t48 @t812))))) % 1.12/1.35 (assume @p719 (forall @t515 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t60 @t59) @t79 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t59 @t60)))) % 1.12/1.35 (assume @p720 (forall (@list @t47 @t562 @t48 @t11) (=> @t454 (= (= @t905 (tptp.c_Polynomial_Omonom @t11 @t47 @t562)) @t49)))) % 1.12/1.35 (assume @p721 (not (= @t812 @t853))) % 1.12/1.35 (assume @p722 (forall @t537 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t906 @t135) @t812)))) % 1.12/1.35 (assume @p723 (forall @t537 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t812 @t135) @t135))) % 1.12/1.35 (assume @p724 (forall @t537 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t135 @t812) @t135))) % 1.12/1.35 (assume @p725 (forall @t139 (=> @t908 (=> @t907 @t136)))) % 1.12/1.35 (assume @p726 (forall @t143 (=> @t909 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t142 @t140) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t141 @t140))))) % 1.12/1.35 (assume @p727 (forall @t143 (=> @t909 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t140 @t141) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t140 @t142))))) % 1.12/1.35 (assume @p728 (forall @t139 (or @t908 @t907))) % 1.12/1.35 (assume @p729 (forall @t144 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t134 @t134))) % 1.12/1.35 (assume @p730 (forall @t139 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t135 @t134) @t910))) % 1.12/1.35 (assume @p731 (forall @t531 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t59 @t135)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t59 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t60 @t135))))) % 1.12/1.35 (assume @p732 (forall @t524 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t862 @t523) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t520 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t518 @t523))))) % 1.12/1.35 (assume @p733 (forall @t143 (=> @t859 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t141 @t140) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t142 @t140))))) % 1.12/1.35 (assume @p734 (forall (@list @t135 @t911 @t134 @t912) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t912 @t134) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t911 @t135) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t912 @t911) @t910))))) % 1.12/1.35 (assume @p735 (forall @t554 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t134 @t135) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t853) @t135)))) % 1.12/1.35 (assume @p736 (forall @t537 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t135) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t906)))) % 1.12/1.35 (assume @p737 (forall @t913 (= (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 @t853 @t277) @t277) @t812) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t277 @t812)))) % 1.12/1.35 (assume @p738 (forall @t915 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t278 @t853) @t277) @t914))) % 1.12/1.35 (assume @p739 (forall @t915 (= @t916 (or @t914 (= @t278 @t277))))) % 1.12/1.35 (assume @p740 (forall @t915 (= @t916 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t278 @t277)))) % 1.12/1.35 (assume @p741 (forall (@list @t278 @t277) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t277 @t278) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t277 @t278) (not (= @t277 @t278)))))) % 1.12/1.35 (assume @p742 (forall @t913 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t853 @t277) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t277)))) % 1.12/1.35 (assume @p743 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t853)) % 1.12/1.35 (assume @p744 (forall @t773 (=> @t454 (= (tptp.c_Polynomial_Omonom @t11 @t16 @t439) @t98)))) % 1.12/1.35 (assume @p745 (forall @t787 (=> @t454 (= (= @t905 @t98) @t152)))) % 1.12/1.35 (assume @p746 (forall @t746 (=> @t100 (= (tptp.c_Polynomial_Osmult @t11 @t12 @t917) (tptp.c_Polynomial_Omonom @t11 @t230 @t439))))) % 1.12/1.35 (assume @p747 (forall @t791 (=> @t316 (= (tptp.c_Groups_Oplus__class_Oplus @t96 @t918 @t917) (tptp.c_Polynomial_Omonom @t11 @t255 @t439))))) % 1.12/1.35 (assume @p748 (forall @t900 (= (tptp.c_Complex_Orcis @t33 @t12) @t7))) % 1.12/1.35 (assume @p749 (forall (@list @t60 @t439 @t12 @t11) (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t918) @t60) (tptp.hAPP @t221 @t731))))) % 1.12/1.35 (assume @p750 (forall (@list @t439 @t10 @t216 @t12 @t11) (=> @t100 (= (tptp.hAPP (tptp.hAPP @t324 (tptp.c_Polynomial_Omonom @t11 @t12 @t216)) @t917) (tptp.c_Polynomial_Omonom @t11 @t230 @t566))))) % 1.12/1.35 (assume @p751 (forall (@list @t10 @t919 @t12 @t920) (= (tptp.hAPP (tptp.hAPP @t204 (tptp.c_Complex_Orcis @t920 @t12)) (tptp.c_Complex_Orcis @t919 @t10)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t305 @t920) @t919) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t12 @t10))))) % 1.12/1.35 (assume @p752 (forall @t714 (=> @t902 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 (tptp.hAPP @t756 @t439))))) % 1.12/1.35 (assume @p753 (forall @t515 (=> @t902 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 (tptp.hAPP (tptp.hAPP @t758 @t60) @t59)))))) % 1.12/1.35 (assume @p754 (forall @t515 (=> @t902 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t60 @t59)))))) % 1.12/1.35 (assume @p755 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t812)) % 1.12/1.35 (assume @p756 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t853)) % 1.12/1.35 (assume @p757 (forall @t877 (=> @t622 (=> @t876 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t3) (= (tptp.hAPP (tptp.hAPP @t724 @t3) @t439) @t12) (forall (@list @t71) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t71) (= (tptp.hAPP (tptp.hAPP @t724 @t71) @t439) @t12)) (= @t71 @t3))))))))) % 1.12/1.35 (assume @p758 (forall @t714 (=> @t200 (= (tptp.c_Transcendental_Oln @t770) (tptp.hAPP @t725 @t921))))) % 1.12/1.35 (assume @p759 (forall @t159 (=> @t925 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t923 @t922) @t158))))) % 1.12/1.35 (assume @p760 (forall @t159 (=> @t925 (=> @t924 (= (= @t923 @t922) @t155))))) % 1.12/1.35 (assume @p761 (forall @t201 (=> @t200 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t921 @t60)))) % 1.12/1.35 (assume @p762 (= (tptp.c_Transcendental_Oln @t23) @t33)) % 1.12/1.35 (assume @p763 (forall @t159 (=> @t925 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t923 @t922) @t157))))) % 1.12/1.35 (assume @p764 (forall @t201 (=> @t721 @t926))) % 1.12/1.35 (assume @p765 (forall @t201 (=> @t928 @t927))) % 1.12/1.35 (assume @p766 (forall @t561 (=> @t925 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t33 @t923) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t23 @t29))))) % 1.12/1.35 (assume @p767 (forall @t561 (=> @t925 (= (= @t923 @t33) (= @t29 @t23))))) % 1.12/1.35 (assume @p768 (forall @t561 (=> @t925 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t923 @t33) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t29 @t23))))) % 1.12/1.35 (assume @p769 (forall @t201 (=> @t200 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t60 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t921 @t33))))) % 1.12/1.35 (assume @p770 (forall @t201 (=> @t927 (=> @t200 @t928)))) % 1.12/1.35 (assume @p771 (forall @t561 (=> @t925 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t923) @t719)))) % 1.12/1.35 (assume @p772 (forall @t201 (=> @t926 (=> @t200 @t721)))) % 1.12/1.35 (assume @p773 (forall @t515 (=> @t200 (=> @t544 (= (tptp.c_Transcendental_Oln @t543) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t921 (tptp.c_Transcendental_Oln @t59))))))) % 1.12/1.35 (assume @p774 (forall @t201 (=> @t696 (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 @t23 @t60)) @t60)))) % 1.12/1.35 (assume @p775 (forall (@list @t60 @t223) (=> @t930 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t708 @t929) (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 @t60 @t223)) (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 @t60 @t223)) @t929)))))) % 1.12/1.35 (assume @p776 (forall @t934 (=> @t817 (= @t933 (forall @t750 (=> @t816 @t931)))))) % 1.12/1.35 (assume @p777 (forall @t782 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t937 @t86) (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 @t12 @t86) @t936) (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 @t12 @t86) @t935) @t86))))) % 1.12/1.35 (assume @p778 (forall @t720 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t938 @t10) @t812))) % 1.12/1.35 (assume @p779 (forall @t900 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t12 @t812) @t812) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t812) @t12)))) % 1.12/1.35 (assume @p780 (forall @t939 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t574 @t250) @t812) (exists @t513 (= @t574 (tptp.hAPP (tptp.hAPP @t758 @t250) @t510)))))) % 1.12/1.35 (assume @p781 (forall @t20 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t229 @t10) @t16)))) % 1.12/1.35 (assume @p782 (forall @t22 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t230 @t10) @t16)))) % 1.12/1.35 (assume @p783 (forall @t338 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t795 @t10) @t940)))) % 1.12/1.35 (assume @p784 (forall @t95 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t796 @t10) @t940)))) % 1.12/1.35 (assume @p785 (forall @t22 (=> @t774 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t940 @t10) @t16)))) % 1.12/1.35 (assume @p786 (forall @t600 (=> @t622 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t941 @t439)))) % 1.12/1.35 (assume @p787 (forall @t939 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t574 @t250) @t210) (exists @t513 (= @t574 (tptp.hAPP (tptp.hAPP @t569 @t250) @t510)))))) % 1.12/1.35 (assume @p788 (forall (@list @t216 @t439 @t140) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t665 @t216) @t439) @t941))) % 1.12/1.35 (assume @p789 (forall @t782 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t10) @t86) (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 @t12 @t86) @t943) (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 @t12 @t86) @t942) @t86))))) % 1.12/1.35 (assume @p790 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t12 @t24) @t16)))) % 1.12/1.35 (assume @p791 (forall @t949 (=> @t774 (=> @t948 (=> @t946 (= @t944 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t294 @t303) @t86))))))) % 1.12/1.35 (assume @p792 (forall @t338 (=> @t774 (= @t950 @t944)))) % 1.12/1.35 (assume @p793 (forall @t95 (=> @t774 (= @t951 @t944)))) % 1.12/1.35 (assume @p794 (forall @t95 (=> @t774 (= @t944 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t947 @t945) @t86))))) % 1.12/1.35 (assume @p795 (forall @t95 (=> @t774 (= @t944 @t950)))) % 1.12/1.35 (assume @p796 (forall @t95 (=> @t774 (= @t944 @t951)))) % 1.12/1.35 (assume @p797 (forall @t20 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t285 @t10) @t940)))) % 1.12/1.35 (assume @p798 (forall @t22 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t255 @t10) @t940)))) % 1.12/1.35 (assume @p799 (forall @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t216))) % 1.12/1.35 (assume @p800 (forall @t515 (=> @t902 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t60 @t59)))))) % 1.12/1.35 (assume @p801 (forall (@list @t140 @t216) (=> @t952 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t216 @t140) @t216)))) % 1.12/1.35 (assume @p802 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t16 @t12) @t16)))) % 1.12/1.35 (assume @p803 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t12 @t16) @t12)))) % 1.12/1.35 (assume @p804 (forall @t45 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t12 @t12) @t16)))) % 1.12/1.35 (assume @p805 (forall @t900 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t12) @t812))) % 1.12/1.35 (assume @p806 (forall @t903 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t812 @t10) @t812))) % 1.12/1.35 (assume @p807 (forall @t567 (=> @t616 (= @t941 @t216)))) % 1.12/1.35 (assume @p808 (forall @t954 (=> @t889 @t953))) % 1.12/1.35 (assume @p809 (forall @t954 (=> @t893 @t955))) % 1.12/1.35 (assume @p810 (forall @t22 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t940 @t10) @t940)))) % 1.12/1.35 (assume @p811 (forall @t949 (=> @t774 (=> @t948 (=> @t946 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t295 @t303) @t86))))))) % 1.12/1.35 (assume @p812 (forall @t338 (=> @t774 (= @t958 @t956)))) % 1.12/1.35 (assume @p813 (forall @t782 (= @t962 @t960))) % 1.12/1.35 (assume @p814 (forall @t338 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t264 @t258) (tptp.hAPP (tptp.hAPP @t218 @t940) @t86))))) % 1.12/1.35 (assume @p815 (forall @t339 (=> @t774 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t419 @t418) (tptp.hAPP @t417 @t940))))) % 1.12/1.35 (assume @p816 (forall @t95 (=> @t774 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t957 @t945) @t86))))) % 1.12/1.35 (assume @p817 (forall @t95 (=> @t774 (= @t956 @t958)))) % 1.12/1.35 (assume @p818 (forall @t782 (= @t960 @t962))) % 1.12/1.35 (assume @p819 (forall @t95 (=> @t774 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t221 @t945) @t86))))) % 1.12/1.35 (assume @p820 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t569 @t941) @t140) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t670 @t669)))) % 1.12/1.35 (assume @p821 (forall @t667 (= (tptp.hAPP @t623 @t941) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t666 @t665)))) % 1.12/1.35 (assume @p822 (forall (@list @t59 @t216 @t60) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t755 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t60 @t216)) @t59) @t216) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t757 @t216)))) % 1.12/1.35 (assume @p823 (forall @t22 (=> @t774 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t940 @t963) @t12)))) % 1.12/1.35 (assume @p824 (forall @t20 (=> @t774 (= @t964 @t12)))) % 1.12/1.35 (assume @p825 (forall @t22 (=> @t774 (= @t965 @t12)))) % 1.12/1.35 (assume @p826 (forall @t92 (=> @t774 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t964 @t86) @t227)))) % 1.12/1.35 (assume @p827 (forall @t95 (=> @t774 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t965 @t86) @t227)))) % 1.12/1.35 (assume @p828 (forall @t600 (=> @t622 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t439)))) % 1.12/1.35 (assume @p829 (forall @t720 (=> @t894 (=> @t896 @t966)))) % 1.12/1.35 (assume @p830 (forall @t954 (=> @t889 (and @t967 @t953)))) % 1.12/1.35 (assume @p831 (forall @t954 (=> @t889 @t967))) % 1.12/1.35 (assume @p832 (forall @t720 (=> @t886 (=> @t891 @t966)))) % 1.12/1.35 (assume @p833 (forall @t954 (=> @t893 (and @t968 @t955)))) % 1.12/1.35 (assume @p834 (forall @t954 (=> @t893 @t968))) % 1.12/1.35 (assume @p835 (forall @t782 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t969 @t10) @t86) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t969 @t943) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t969 @t942) @t86))))) % 1.12/1.35 (assume @p836 (forall @t782 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t12 @t781) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t780 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t779 @t86)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t12 @t10))))) % 1.12/1.35 (assume @p837 (forall @t720 (= @t12 @t970))) % 1.12/1.35 (assume @p838 (forall @t782 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t959 @t86) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t854 @t936) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t961 @t86))))) % 1.12/1.35 (assume @p839 (forall (@list @t140 @t12 @t10) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t970 @t140) @t971))) % 1.12/1.35 (assume @p840 (forall (@list @t140 @t10 @t12) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t758 @t820) @t10) @t938) @t140) @t971))) % 1.12/1.35 (assume @p841 (forall @t752 (= (tptp.hBOOL (tptp.hAPP @t592 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t562 @t572))) (and (=> @t573 @t688) (=> @t751 (forall @t750 (=> @t749 (=> @t748 @t972)))))))) % 1.12/1.35 (assume @p842 (forall @t973 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t86) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t207 @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t780 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t310 @t86)) @t207) @t781))))) % 1.12/1.35 (assume @p843 (forall @t720 (=> @t856 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t937 @t812) (= @t938 @t937))))) % 1.12/1.35 (assume @p844 (forall @t752 (= (tptp.hBOOL (tptp.hAPP @t592 @t932)) (and (=> @t818 @t688) (=> @t817 (forall @t750 (=> @t816 @t972))) (=> @t815 (forall @t750 (=> @t813 @t972))))))) % 1.12/1.35 (assume @p845 (forall @t973 (=> @t823 (=> @t849 (=> @t838 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t974)))))) % 1.12/1.35 (assume @p846 (forall @t973 (=> @t823 (=> @t849 (=> @t838 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t974 @t822)))))) % 1.12/1.35 (assume @p847 (forall @t975 (=> @t823 (=> @t845 (=> @t846 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t822 @t974)))))) % 1.12/1.35 (assume @p848 (forall @t975 (=> @t823 (=> @t845 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t974 @t812)))))) % 1.12/1.35 (assume @p849 (forall (@list @t59 @t976 @t825 @t826) (=> (= @t826 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t831 @t976) @t59)) (=> (and (=> @t829 (and @t901 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t59 @t825))) (=> @t830 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t825 @t59) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t59 @t812)))) (=> @t827 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t826 @t825) @t59)))))) % 1.12/1.35 (assume @p850 (forall @t824 (=> @t823 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t822) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t821 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t820 @t86)) @t938))))) % 1.12/1.35 (assume @p851 (forall @t934 (=> @t815 (= @t933 (forall @t750 (=> @t813 @t931)))))) % 1.12/1.35 (assume @p852 (= (tptp.c_Complex_Oexpi @t7) @t124)) % 1.12/1.35 (assume @p853 (forall @t720 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t12 @t10)) (tptp.hAPP (tptp.hAPP @t204 (tptp.c_Complex_Oexpi @t12)) (tptp.c_Complex_Oexpi @t10))))) % 1.12/1.35 (assume @p854 (forall @t867 (=> @t208 (=> @t42 (= (tptp.c_Divides_Odiv__class_Omod @t96 @t60 @t873) @t977))))) % 1.12/1.35 (assume @p855 (forall @t867 (=> @t208 (= (tptp.c_Divides_Odiv__class_Omod @t96 @t866 @t59) (tptp.c_Polynomial_Osmult @t11 @t12 @t977))))) % 1.12/1.35 (assume @p856 (forall @t246 (=> @t208 (= (tptp.c_Divides_Odiv__class_Omod @t96 @t60 @t869) (tptp.c_Groups_Oplus__class_Oplus @t96 (tptp.hAPP @t868 (tptp.c_Divides_Odiv__class_Omod @t96 @t865 @t135)) @t977))))) % 1.12/1.35 (assume @p857 (forall (@list @t722 @t678 @t978 @t11) (=> @t36 (=> (forall @t660 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t978 @t658) @t723)) @t693)))) % 1.12/1.35 (assume @p858 (forall (@list @t439 @t223) (=> @t930 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t223 @t439) (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t439 @t223)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t700 @t929)))))) % 1.12/1.35 (assume @p859 (forall @t201 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t60))) % 1.12/1.35 (assume @p860 (forall @t45 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t16)))) % 1.12/1.35 (assume @p861 (forall @t22 (=> @t774 (=> @t979 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t10 @t12) @t16))))) % 1.12/1.35 (assume @p862 (forall @t58 (=> @t774 (= @t980 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t47 @t48) @t16))))) % 1.12/1.35 (assume @p863 (forall @t984 (=> @t774 (=> @t983 (=> @t982 @t981))))) % 1.12/1.35 (assume @p864 (forall @t984 (=> @t774 (=> @t981 (=> @t982 @t983))))) % 1.12/1.35 (assume @p865 (forall @t386 (=> @t774 (=> @t985 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t940 @t86) @t947))))) % 1.12/1.35 (assume @p866 (forall (@list @t574 @t562 @t572 @t11) (=> @t774 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t572 @t562) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t572 (tptp.c_Divides_Odiv__class_Omod @t11 @t574 @t562)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t572 @t574)))))) % 1.12/1.35 (assume @p867 (forall @t270 (=> @t774 (=> @t987 (=> @t980 (= (= @t986 @t247) (= @t47 @t433))))))) % 1.12/1.35 (assume @p868 (forall (@list @t250 @t47 @t247 @t48 @t11) (=> @t774 (=> @t987 (=> @t447 (=> @t980 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t247 @t250) (= (= @t986 (tptp.c_Divides_Odiv__class_Odiv @t11 @t250 @t247)) (= @t249 @t252))))))))) % 1.12/1.35 (assume @p869 (forall @t270 (=> @t774 (=> @t980 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t48 @t247) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t986 (tptp.c_Divides_Odiv__class_Odiv @t11 @t247 @t48)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t47 @t247))))))) % 1.12/1.35 (assume @p870 (forall @t330 (=> @t116 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t253 @t249) @t988)))) % 1.12/1.35 (assume @p871 (forall @t332 (=> @t116 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t433 @t432) @t988)))) % 1.12/1.35 (assume @p872 (forall @t22 (=> @t774 (=> @t979 (= (tptp.hAPP @t221 @t989) @t10))))) % 1.12/1.35 (assume @p873 (forall @t386 (=> @t774 (=> @t985 (= (tptp.hAPP @t221 (tptp.c_Divides_Odiv__class_Odiv @t11 @t10 @t86)) (tptp.c_Divides_Odiv__class_Odiv @t11 @t230 @t86)))))) % 1.12/1.35 (assume @p874 (forall @t22 (=> @t774 (=> @t979 (= (tptp.hAPP @t990 @t12) @t10))))) % 1.12/1.35 (assume @p875 (forall @t95 (=> @t774 (=> @t979 (= (tptp.hAPP @t990 @t86) (tptp.c_Divides_Odiv__class_Odiv @t11 @t258 @t12)))))) % 1.12/1.35 (assume @p876 (forall (@list @t134 @t135 @t60 @t59 @t11) (=> @t774 (=> @t992 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t135 @t134) (= (tptp.hAPP (tptp.hAPP @t218 @t991) (tptp.c_Divides_Odiv__class_Odiv @t11 @t134 @t135)) (tptp.c_Divides_Odiv__class_Odiv @t11 (tptp.hAPP @t243 @t134) @t354))))))) % 1.12/1.35 (assume @p877 (forall @t363 (=> @t774 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t135 @t60) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t135 @t59) (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t291 @t135) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Divides_Odiv__class_Odiv @t11 @t60 @t135) (tptp.c_Divides_Odiv__class_Odiv @t11 @t59 @t135)))))))) % 1.12/1.35 (assume @p878 (forall (@list @t216 @t10 @t439 @t12 @t11) (=> @t97 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t744 @t10) (=> @t617 (tptp.c_Rings_Odvd__class_Odvd @t11 @t776 @t10)))))) % 1.12/1.35 (assume @p879 (forall (@list @t216 @t439 @t59 @t60 @t11) (=> @t97 (=> @t993 (=> @t655 (tptp.c_Rings_Odvd__class_Odvd @t11 @t731 (tptp.hAPP @t728 @t216))))))) % 1.12/1.35 (assume @p880 (forall (@list @t12 @t439 @t216 @t11) (=> @t97 (=> @t617 (tptp.c_Rings_Odvd__class_Odvd @t11 @t776 @t744))))) % 1.12/1.35 (assume @p881 (forall (@list @t439 @t60 @t59 @t11) (=> @t774 (=> @t992 (= (tptp.hAPP (tptp.hAPP @t726 @t991) @t439) (tptp.c_Divides_Odiv__class_Odiv @t11 @t731 @t994)))))) % 1.12/1.35 (assume @p882 (forall @t567 (=> @t808 (=> @t616 (not @t995))))) % 1.12/1.35 (assume @p883 (forall @t45 (=> @t97 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t16 @t12) @t41)))) % 1.12/1.35 (assume @p884 (forall @t95 (=> @t97 (=> @t979 (=> @t996 (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t254)))))) % 1.12/1.35 (assume @p885 (forall @t45 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t11 @t24 @t12)))) % 1.12/1.35 (assume @p886 (forall @t997 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t574 @t568) @t647))) % 1.12/1.35 (assume @p887 (forall (@list @t562 @t572) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t572 @t671) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t572 @t562)))) % 1.12/1.35 (assume @p888 (forall @t586 (= @t999 (or @t573 @t998)))) % 1.12/1.35 (assume @p889 (forall @t95 (=> @t97 (=> @t979 (=> @t1000 @t996))))) % 1.12/1.35 (assume @p890 (forall @t45 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t12)))) % 1.12/1.35 (assume @p891 (forall @t515 (=> @t1003 (not (and @t1002 (not @t1001)))))) % 1.12/1.35 (assume @p892 (forall @t531 (=> @t1003 @t1007))) % 1.12/1.35 (assume @p893 (forall @t720 (=> @t1010 (not (and @t1009 (not @t1008)))))) % 1.12/1.35 (assume @p894 (forall @t531 (=> @t1003 (=> @t1006 @t1005)))) % 1.12/1.35 (assume @p895 (forall @t782 (=> @t1010 (=> @t283 @t1012)))) % 1.12/1.35 (assume @p896 (forall @t515 (=> @t1003 @t501))) % 1.12/1.35 (assume @p897 (forall @t515 (=> @t1003 @t80))) % 1.12/1.35 (assume @p898 (forall @t515 (=> @t1003 @t1001))) % 1.12/1.35 (assume @p899 (forall @t531 (=> @t1001 @t1007))) % 1.12/1.35 (assume @p900 (forall @t782 (=> @t131 (=> (and @t1013 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t86 @t10))) @t1012)))) % 1.12/1.35 (assume @p901 (forall @t531 (=> @t1001 (=> @t1006 @t1004)))) % 1.12/1.35 (assume @p902 (forall @t515 (=> @t1001 (=> @t1002 @t79)))) % 1.12/1.35 (assume @p903 (forall @t567 (=> @t1014 (=> @t995 @t598)))) % 1.12/1.35 (assume @p904 (forall @t782 (=> @t1008 (=> @t283 @t1011)))) % 1.12/1.35 (assume @p905 (forall @t782 (=> @t131 (=> @t1013 @t1011)))) % 1.12/1.35 (assume @p906 (forall @t720 (=> @t1008 (=> @t509 @t1010)))) % 1.12/1.35 (assume @p907 (forall @t515 (=> @t1001 (or @t1003 @t79)))) % 1.12/1.35 (assume @p908 (forall (@list @t29 @t154) (=> @t1016 (= @t1015 @t155)))) % 1.12/1.35 (assume @p909 (forall @t515 (=> @t79 @t1001))) % 1.12/1.35 (assume @p910 (forall @t720 (=> @t509 (=> @t1008 @t1010)))) % 1.12/1.35 (assume @p911 (forall @t159 (= @t1017 (and @t1015 @t156)))) % 1.12/1.35 (assume @p912 (forall @t159 (= @t1015 (or @t1017 @t155)))) % 1.12/1.35 (assume @p913 (forall @t159 (= @t155 (and @t1015 @t1016)))) % 1.12/1.35 (assume @p914 (forall @t22 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t230)))) % 1.12/1.35 (assume @p915 (forall @t22 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t229)))) % 1.12/1.35 (assume @p916 (forall @t95 (=> @t97 (=> @t979 @t1018)))) % 1.12/1.35 (assume @p917 (forall @t338 (=> @t97 (=> @t996 @t1018)))) % 1.12/1.35 (assume @p918 (forall @t276 (=> @t97 (=> @t979 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t86 @t223) (tptp.c_Rings_Odvd__class_Odvd @t11 @t264 @t422)))))) % 1.12/1.35 (assume @p919 (forall (@list @t140 @t10 @t12 @t11) (=> @t1019 (=> (= @t12 (tptp.hAPP @t228 @t140)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t10 @t12))))) % 1.12/1.35 (assume @p920 (forall @t95 (=> @t97 (=> @t1020 @t996)))) % 1.12/1.35 (assume @p921 (forall @t95 (=> @t97 (=> @t1020 @t1000)))) % 1.12/1.35 (assume @p922 (forall (@list @t439 @t59 @t60 @t11) (=> @t97 (=> @t993 (tptp.c_Rings_Odvd__class_Odvd @t11 @t731 @t994))))) % 1.12/1.35 (assume @p923 (forall (@list @t439 @t140) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t140 @t439) (=> @t622 @t650)))) % 1.12/1.35 (assume @p924 (forall @t586 (=> @t631 (= @t999 @t998)))) % 1.12/1.35 (assume @p925 (forall @t667 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t666 @t665) (=> @t626 @t1014)))) % 1.12/1.35 (assume @p926 (forall (@list @t60 @t439 @t11) (=> @t97 (=> (or @t622 (= @t60 @t24)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t60 @t731))))) % 1.12/1.35 (assume @p927 (forall @t589 (=> @t636 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t577 @t574) @t574) @t646)))) % 1.12/1.35 (assume @p928 (forall @t589 (=> @t636 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t588 @t574) @t646)))) % 1.12/1.35 (assume @p929 (forall @t767 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t766 @t765) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t568 @t141) @t617)))) % 1.12/1.35 (assume @p930 (forall (@list @t659 @t592 @t11) (=> (and @t1019 @t793) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t592 (tptp.hAPP (tptp.hAPP @t218 @t659) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t11 @t659 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t16)) @t1021)))))) % 1.12/1.35 (assume @p931 (forall @t1022 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t760 @t12) @t439) (tptp.hAPP (tptp.hAPP @t760 @t10) @t439)) (=> @t621 @t1008)))) % 1.12/1.35 (assume @p932 (forall @t667 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t140 @t1023) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t140 @t439) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t140 @t216))))) % 1.12/1.35 (assume @p933 (forall (@list @t439 @t216 @t1024) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1024 @t216) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1024 @t439) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1024 @t1023))))) % 1.12/1.35 (assume @p934 (forall @t600 (=> @t1025 (= (tptp.hAPP (tptp.hAPP @t758 @t439) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t216 @t439)) @t216)))) % 1.12/1.35 (assume @p935 (forall @t1022 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t755 @t12) @t439) (tptp.hAPP (tptp.hAPP @t755 @t10) @t439)) (=> @t621 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t12 @t10))))) % 1.12/1.35 (assume @p936 (forall @t1026 (=> @t620 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t755 @t48) @t562) (tptp.hAPP (tptp.hAPP @t755 @t47) @t562)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t48 @t47))))) % 1.12/1.35 (assume @p937 (forall (@list @t247 @t1027 @t29 @t250 @t48) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t48 @t250) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t48 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t29 @t1027)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t48 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t29 (tptp.hAPP (tptp.hAPP @t758 @t247) @t250)) @t1027)))))) % 1.12/1.35 (assume @p938 (forall (@list @t574 @t562 @t572) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t572 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t562 @t1028)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t572 @t562)))) % 1.12/1.35 (assume @p939 (forall @t667 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t858 @t216) (tptp.hAPP @t858 @t439)) (=> (not (= @t140 @t812)) @t1029)))) % 1.12/1.35 (assume @p940 (forall (@list @t1027 @t574 @t572) (=> (not @t818) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t574 @t1027) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1028 (tptp.hAPP @t810 @t1027)))))) % 1.12/1.35 (assume @p941 (forall @t541 (=> @t208 (=> @t1031 (=> @t42 @t1030))))) % 1.12/1.35 (assume @p942 (forall @t1033 (=> @t208 (=> @t1030 (=> @t42 @t1032))))) % 1.12/1.35 (assume @p943 (forall @t1035 (=> @t208 (=> @t987 (= (tptp.c_Rings_Odvd__class_Odvd @t96 @t113 (tptp.c_Polynomial_Osmult @t11 @t48 @t119)) @t1034))))) % 1.12/1.35 (assume @p944 (forall @t567 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t216) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t216 @t439) (not @t1025))))) % 1.12/1.35 (assume @p945 (forall @t567 (=> @t952 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t439) (=> @t1029 (=> @t1025 @t598)))))) % 1.12/1.35 (assume @p946 (forall @t539 (=> @t97 (=> @t1032 @t1030)))) % 1.12/1.35 (assume @p947 (forall @t1033 (=> @t97 (=> @t1030 @t1031)))) % 1.12/1.35 (assume @p948 (forall @t718 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t135 @t439) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t439) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t135 @t439))))) % 1.12/1.35 (assume @p949 (forall @t1035 (=> @t208 (= (tptp.c_Rings_Odvd__class_Odvd @t96 @t153 @t119) (and (=> @t152 (= @t119 @t98)) (=> @t987 @t1034)))))) % 1.12/1.35 (assume @p950 (forall @t201 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t210))) % 1.12/1.35 (assume @p951 (forall @t201 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t568 @t60))) % 1.12/1.35 (assume @p952 (forall @t600 (=> @t622 (=> @t1014 @t808)))) % 1.12/1.35 (assume @p953 (forall @t1026 (=> @t620 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t760 @t48) @t562) (tptp.hAPP (tptp.hAPP @t760 @t47) @t562)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t48 @t47))))) % 1.12/1.35 (assume @p954 (forall (@list @t572 @t592 @t250) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t812 @t250) (=> (forall @t6 (=> @t1021 (tptp.hBOOL (tptp.hAPP @t592 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t250))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t812 @t572) (forall @t6 (=> @t1021 (tptp.hBOOL (tptp.hAPP @t592 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t810 @t250))))))))))) % 1.12/1.35 (assume @p955 (forall (@list @t59 @t439 @t60) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t60 @t439) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t59 @t439)) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t59 @t60) (exists @t513 (= @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t59 (tptp.hAPP @t649 @t510)))))))) % 1.12/1.35 (assume @p956 (forall @t702 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t740 @t741) @t23))) % 1.12/1.35 (assume @p957 (forall (@list @t562 @t574 @t592) (= (tptp.hBOOL (tptp.hAPP @t592 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t574 @t562))) (or (and @t563 @t689) (exists @t513 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t577 @t510) @t574) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t574 (tptp.hAPP @t577 (tptp.c_Nat_OSuc @t510))) (tptp.hBOOL (tptp.hAPP @t592 @t510)))))))) % 1.12/1.35 (assume @p958 (forall @t567 (=> @t616 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1037 @t1036)))) % 1.12/1.35 (assume @p959 (forall @t555 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t1036))) % 1.12/1.35 (assume @p960 (forall @t555 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t1036))) % 1.12/1.35 (assume @p961 (forall (@list @t140) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t1038 @t140))) % 1.12/1.35 (assume @p962 (forall (@list @t1027 @t1039 @t250 @t11) (=> (and (tptp.class_Rings_Ocomm__ring @t11) @t1019) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t250 @t1039) (forall (@list @t3 @t656) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t250 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t1027)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t250 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t3 (tptp.hAPP (tptp.hAPP @t218 @t656) @t1039)) @t1027)))))))) % 1.12/1.35 (assume @p963 (forall @t997 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t574 @t1038) (= @t574 @t1038)))) % 1.12/1.35 (assume @p964 (forall @t246 (=> @t874 (=> @t993 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t60 @t135) (tptp.c_Rings_Odvd__class_Odvd @t11 @t60 (tptp.c_Groups_Ominus__class_Ominus @t11 @t59 @t135))))))) % 1.12/1.35 (assume @p965 (forall @t954 (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 @t10 @t12)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t12)))) % 1.12/1.35 (assume @p966 (forall @t567 (and (=> @t1042 (= @t1041 @t210)) (=> (not @t1042) (= @t1041 @t1040))))) % 1.12/1.35 (assume @p967 (forall @t591 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t216 @t1038) @t210))) % 1.12/1.35 (assume @p968 (forall @t949 (=> @t1044 (=> @t948 (=> @t946 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t294 @t303) @t86))))))) % 1.12/1.35 (assume @p969 (forall @t95 (=> @t1044 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t947 @t945) @t86))))) % 1.12/1.35 (assume @p970 (forall @t95 (=> @t1044 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t947 @t10) @t86))))) % 1.12/1.35 (assume @p971 (forall @t95 (=> @t1044 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t12 @t945) @t86))))) % 1.12/1.35 (assume @p972 (forall @t567 (= @t1041 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1040 @t439)))) % 1.12/1.35 (assume @p973 (forall @t359 (=> @t208 (=> @t358 (=> @t357 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t61 @t356) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t244 @t355) @t354))))))) % 1.12/1.35 (assume @p974 (forall @t363 (=> @t208 (=> @t357 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t193 @t59) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t60 @t361) @t135)))))) % 1.12/1.35 (assume @p975 (forall @t363 (=> @t208 (=> @t357 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t60 @t367) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t366 @t59) @t135)))))) % 1.12/1.35 (assume @p976 (forall (@list @t574 @t29) (= (= (tptp.hAPP @t761 @t574) @t1038) (or @t587 (= @t29 @t1038))))) % 1.12/1.35 (assume @p977 (forall @t555 (= (tptp.hAPP (tptp.hAPP @t760 @t1038) @t439) @t1038))) % 1.12/1.35 (assume @p978 (forall (@list @t562 @t48 @t871 @t870 @t11) (= (tptp.hAPP @t872 (tptp.c_Nat_OSuc @t562)) (tptp.hAPP (tptp.hAPP @t871 @t48) (tptp.hAPP @t872 @t562))))) % 1.12/1.35 (assume @p979 (forall @t586 (= (= (tptp.hAPP @t1045 @t574) (tptp.hAPP @t1045 @t562)) @t575))) % 1.12/1.35 (assume @p980 (forall @t293 (=> @t292 (= (tptp.hAPP (tptp.hAPP @t218 @t1046) @t287) (tptp.c_Groups_Ominus__class_Ominus @t11 @t290 @t289))))) % 1.12/1.35 (assume @p981 (forall @t297 (=> @t292 (= (tptp.hAPP (tptp.hAPP @t218 (tptp.c_Groups_Ominus__class_Ominus @t11 @t12 @t294)) @t10) (tptp.c_Groups_Ominus__class_Ominus @t11 @t230 @t296))))) % 1.12/1.35 (assume @p982 (forall @t302 (=> @t292 (= (tptp.hAPP @t299 @t1046) (tptp.c_Groups_Ominus__class_Ominus @t11 @t301 @t300))))) % 1.12/1.35 (assume @p983 (forall @t1050 (=> @t1049 (tptp.class_Groups_Ocancel__comm__monoid__add @t1048)))) % 1.12/1.35 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p987 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p988 (forall @t1053 (=> (tptp.class_Orderings_Opreorder @t1047) (tptp.class_Orderings_Opreorder @t1052)))) % 1.12/1.35 (assume @p989 (forall @t1053 (=> (tptp.class_Orderings_Oorder @t1047) (tptp.class_Orderings_Oorder @t1052)))) % 1.12/1.35 (assume @p990 (forall @t1053 (=> (tptp.class_Orderings_Oord @t1047) (tptp.class_Orderings_Oord @t1052)))) % 1.12/1.35 (assume @p991 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p992 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p993 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p994 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p995 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p996 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p998 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p999 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1000 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1001 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1002 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1003 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1004 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1005 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1006 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1007 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1008 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1009 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1010 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1011 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1012 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1013 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1014 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1015 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1016 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1017 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1018 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1019 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1020 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1021 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1022 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1023 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1024 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1025 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1026 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1027 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1028 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1029 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1030 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1031 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1032 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1033 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1034 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1035 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1036 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1037 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1038 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1039 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1040 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1041 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1042 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.12/1.35 (assume @p1043 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1044 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1045 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1046 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1047 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1048 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1049 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1050 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1051 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1052 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1053 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1054 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1055 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1056 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1057 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1058 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1059 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1060 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1061 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1062 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1063 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1064 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1065 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1066 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1067 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1068 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1069 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1070 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1071 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1072 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1073 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1074 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1075 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1076 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1077 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1078 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1079 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.12/1.35 (assume @p1080 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.12/1.35 (assume @p1081 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.12/1.35 (assume @p1082 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.12/1.35 (assume @p1083 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1084 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1085 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1086 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1087 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1088 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1089 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1090 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1091 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1092 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1093 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1094 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1095 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1096 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1097 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1098 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1099 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1100 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1101 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1102 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1103 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1104 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1105 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1106 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1107 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1108 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1109 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1110 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1111 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1112 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1113 @t1054) % 1.12/1.35 (assume @p1114 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1115 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1116 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1117 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1118 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1119 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1120 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1121 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1122 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1123 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1124 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1125 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1126 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1127 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1128 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1129 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1130 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1131 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1132 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1133 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1134 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1135 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1136 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1137 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1138 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1139 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1140 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1141 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1142 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1143 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.12/1.35 (assume @p1144 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1145 @t1055) % 1.12/1.35 (assume @p1146 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1147 @t1056) % 1.12/1.35 (assume @p1148 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1149 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1150 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1151 @t1057) % 1.12/1.35 (assume @p1152 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1153 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1154 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1155 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1156 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1157 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1158 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1159 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1160 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1161 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1162 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1163 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1164 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1165 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1166 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1167 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1168 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1169 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1170 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1171 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1172 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1173 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1174 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1175 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1176 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1177 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1178 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1179 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (assume @p1180 (forall @t1050 (=> @t1058 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1048)))) % 1.12/1.35 (assume @p1181 (forall @t1050 (=> @t1059 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1048)))) % 1.12/1.35 (assume @p1182 (forall @t1050 (=> @t1059 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1048)))) % 1.12/1.35 (assume @p1183 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1048)))) % 1.12/1.35 (assume @p1184 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__semiring__1__strict @t1048)))) % 1.12/1.35 (assume @p1185 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__semiring__strict @t1048)))) % 1.12/1.35 (assume @p1186 (forall @t1050 (=> @t1059 (tptp.class_Groups_Oordered__ab__semigroup__add @t1048)))) % 1.12/1.35 (assume @p1187 (forall @t1050 (=> @t1059 (tptp.class_Groups_Oordered__comm__monoid__add @t1048)))) % 1.12/1.35 (assume @p1188 (forall @t1050 (=> @t1059 (tptp.class_Groups_Olinordered__ab__group__add @t1048)))) % 1.12/1.35 (assume @p1189 (forall @t1050 (=> @t1049 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1048)))) % 1.12/1.35 (assume @p1190 (forall @t1050 (=> @t1058 (tptp.class_Rings_Oring__1__no__zero__divisors @t1048)))) % 1.12/1.35 (assume @p1191 (forall @t1050 (=> @t1059 (tptp.class_Rings_Oordered__cancel__semiring @t1048)))) % 1.12/1.35 (assume @p1192 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__ring__strict @t1048)))) % 1.12/1.35 (assume @p1193 (forall @t1050 (=> @t1058 (tptp.class_Rings_Oring__no__zero__divisors @t1048)))) % 1.12/1.35 (assume @p1194 (forall @t1050 (=> @t1059 (tptp.class_Rings_Oordered__comm__semiring @t1048)))) % 1.12/1.35 (assume @p1195 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__semiring__1 @t1048)))) % 1.12/1.35 (assume @p1196 (forall @t1050 (=> @t1049 (tptp.class_Groups_Ocancel__semigroup__add @t1048)))) % 1.12/1.35 (assume @p1197 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__semiring @t1048)))) % 1.12/1.35 (assume @p1198 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__semidom @t1048)))) % 1.12/1.35 (assume @p1199 (forall @t1050 (=> @t1060 (tptp.class_Groups_Oab__semigroup__mult @t1048)))) % 1.12/1.35 (assume @p1200 (forall @t1050 (=> @t1061 (tptp.class_Groups_Ocomm__monoid__mult @t1048)))) % 1.12/1.35 (assume @p1201 (forall @t1050 (=> @t1062 (tptp.class_Groups_Oab__semigroup__add @t1048)))) % 1.12/1.35 (assume @p1202 (forall @t1050 (=> @t1059 (tptp.class_Rings_Oordered__semiring @t1048)))) % 1.12/1.35 (assume @p1203 (forall @t1050 (=> @t1058 (tptp.class_Rings_Ono__zero__divisors @t1048)))) % 1.12/1.35 (assume @p1204 (forall @t1050 (=> @t1062 (tptp.class_Groups_Ocomm__monoid__add @t1048)))) % 1.12/1.35 (assume @p1205 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__ring @t1048)))) % 1.12/1.35 (assume @p1206 (forall @t1050 (=> @t1059 (tptp.class_Rings_Olinordered__idom @t1048)))) % 1.12/1.35 (assume @p1207 (forall @t1050 (=> @t1061 (tptp.class_Rings_Ocomm__semiring__1 @t1048)))) % 1.12/1.35 (assume @p1208 (forall @t1050 (=> @t1060 (tptp.class_Rings_Ocomm__semiring__0 @t1048)))) % 1.12/1.35 (assume @p1209 (forall @t1050 (=> @t1063 (tptp.class_Divides_Osemiring__div @t1048)))) % 1.12/1.35 (assume @p1210 (forall @t1050 (=> @t1060 (tptp.class_Rings_Ocomm__semiring @t1048)))) % 1.12/1.35 (assume @p1211 (forall @t1050 (=> @t1061 (tptp.class_Rings_Ozero__neq__one @t1048)))) % 1.12/1.35 (assume @p1212 (forall @t1050 (=> @t1059 (tptp.class_Rings_Oordered__ring @t1048)))) % 1.12/1.35 (assume @p1213 (forall @t1050 (=> @t1059 (tptp.class_Orderings_Opreorder @t1048)))) % 1.12/1.35 (assume @p1214 (forall @t1050 (=> @t1059 (tptp.class_Orderings_Olinorder @t1048)))) % 1.12/1.35 (assume @p1215 (forall @t1050 (=> @t1061 (tptp.class_Groups_Omonoid__mult @t1048)))) % 1.12/1.35 (assume @p1216 (forall @t1050 (=> (tptp.class_Rings_Ocomm__ring__1 @t1047) (tptp.class_Rings_Ocomm__ring__1 @t1048)))) % 1.12/1.35 (assume @p1217 (forall @t1050 (=> @t1062 (tptp.class_Groups_Omonoid__add @t1048)))) % 1.12/1.35 (assume @p1218 (forall @t1050 (=> @t1060 (tptp.class_Rings_Osemiring__0 @t1048)))) % 1.12/1.35 (assume @p1219 (forall @t1050 (=> @t1063 (tptp.class_Divides_Oring__div @t1048)))) % 1.12/1.35 (assume @p1220 (forall @t1050 (=> @t1060 (tptp.class_Rings_Omult__zero @t1048)))) % 1.12/1.35 (assume @p1221 (forall @t1050 (=> (tptp.class_Rings_Ocomm__ring @t1047) (tptp.class_Rings_Ocomm__ring @t1048)))) % 1.12/1.35 (assume @p1222 (forall @t1050 (=> @t1059 (tptp.class_Orderings_Oorder @t1048)))) % 1.12/1.35 (assume @p1223 (forall @t1050 (=> @t1059 (tptp.class_Int_Oring__char__0 @t1048)))) % 1.12/1.35 (assume @p1224 (forall @t1050 (=> @t1060 (tptp.class_Rings_Osemiring @t1048)))) % 1.12/1.35 (assume @p1225 (forall @t1050 (=> @t1059 (tptp.class_Orderings_Oord @t1048)))) % 1.12/1.35 (assume @p1226 (forall @t1050 (=> @t1059 (tptp.class_Groups_Osgn__if @t1048)))) % 1.12/1.35 (assume @p1227 (forall @t1050 (=> @t1061 (tptp.class_Power_Opower @t1048)))) % 1.12/1.35 (assume @p1228 (forall @t1050 (=> (tptp.class_Groups_Ozero @t1047) (tptp.class_Groups_Ozero @t1048)))) % 1.12/1.35 (assume @p1229 (forall @t1050 (=> @t1058 (tptp.class_Rings_Oidom @t1048)))) % 1.12/1.35 (assume @p1230 (forall @t1050 (=> @t1061 (tptp.class_Groups_Oone @t1048)))) % 1.12/1.35 (assume @p1231 (forall @t1050 (=> @t1061 (tptp.class_Rings_Odvd @t1048)))) % 1.12/1.35 (assume @p1232 (not (= @t1066 @t1065))) % 1.12/1.35 (assume @p1233 true) % 1.12/1.35 (step @p1234 :rule bool-impl-elim :args (@t26 @t25)) % 1.12/1.35 (step @p1235 :rule cong :premises (@p1234) :args (@t28)) % 1.12/1.35 (step @p1236 :rule eq_resolve :premises (@p7 @p1235)) % 1.12/1.35 (step @p1237 :rule eq-symm :args (@t1067 @t23)) % 1.12/1.35 (step @p1238 :rule refl :args (@t1068)) % 1.12/1.35 (step @p1239 :rule nary_cong :premises (@p1238 @p1237) :args (@t1069)) % 1.12/1.35 (step @p1240 :rule refl :args (@t1070)) % 1.12/1.35 (step @p1241 :rule cong :premises (@p1240 @p1239) :args ((=> @t1070 @t1069))) % 1.12/1.35 (assume-push @p1402 @t1070) % 1.12/1.35 (step @p1243 :rule instantiate :premises (@p1236) :args ((@list tptp.tc_Complex_Ocomplex))) % 1.12/1.35 (step-pop @p1403 :rule scope :premises (@p1243)) % 1.12/1.35 (step @p1244 :rule process_scope :premises (@p1403) :args (@t1069)) % 1.12/1.35 (step @p1246 :rule eq_resolve :premises (@p1244 @p1241)) % 1.12/1.35 (step @p1247 :rule implies_elim :premises (@p1246)) % 1.12/1.35 (step @p1248 :rule chain_m_resolution :premises (@p1247 @p1236) :args (@t1072 @t1073 (@list @t1070))) % 1.12/1.35 (step @p1249 :rule cnf_or_pos :args (@t1072)) % 1.12/1.35 (step @p1250 :rule reordering :premises (@p1249) :args ((or @t1068 @t1071 (not @t1072)))) % 1.12/1.35 (step @p1251 :rule chain_m_resolution :premises (@p1250 @p1147 @p1248) :args (@t1071 @t1074 (@list @t1056 @t1072))) % 1.12/1.35 (step @p1252 :rule bool-impl-elim :args (@t149 @t308)) % 1.12/1.35 (step @p1253 :rule cong :premises (@p1252) :args (@t309)) % 1.12/1.35 (step @p1254 :rule eq_resolve :premises (@p171 @p1253)) % 1.12/1.35 (step @p1255 :rule instantiate :premises (@p1254) :args ((@list @t9 @t125 tptp.tc_Complex_Ocomplex))) % 1.12/1.35 (step @p1256 :rule cnf_or_pos :args (@t1078)) % 1.12/1.35 (step @p1257 :rule reordering :premises (@p1256) :args ((or @t1077 @t1076 (not @t1078)))) % 1.12/1.35 (step @p1258 :rule chain_m_resolution :premises (@p1257 @p1145 @p1255) :args (@t1076 @t1074 (@list @t1055 @t1078))) % 1.12/1.35 (step @p1259 :rule not_equiv_elim1 :premises (@p1232)) % 1.12/1.35 (step @p1260 :rule aci_norm :args ((= (or @t1079 (or @t477 @t473)) (or @t1079 @t477 @t473)))) % 1.12/1.35 (step @p1261 :rule bool-impl-elim :args (@t437 @t473)) % 1.12/1.35 (step @p1262 :rule refl :args (@t1079)) % 1.12/1.35 (step @p1263 :rule nary_cong :premises (@p1262 @p1261) :args ((or @t1079 @t474))) % 1.12/1.35 (step @p1264 :rule trans :premises (@p1263 @p1260)) % 1.12/1.35 (step @p1265 :rule bool-impl-elim :args (@t65 @t474)) % 1.12/1.35 (step @p1266 :rule trans :premises (@p1265 @p1264)) % 1.12/1.35 (step @p1267 :rule cong :premises (@p1266) :args (@t475)) % 1.12/1.35 (step @p1268 :rule eq_resolve :premises (@p330 @p1267)) % 1.12/1.35 (step @p1269 :rule instantiate :premises (@p1268) :args ((@list @t23 @t1064 @t111 tptp.tc_RealDef_Oreal))) % 1.12/1.35 (step @p1270 :rule bool-impl-elim :args (@t36 @t1080)) % 1.12/1.35 (step @p1271 :rule cong :premises (@p1270) :args ((forall @t38 (=> @t36 @t1080)))) % 1.12/1.35 (step @p1272 :rule eq-symm :args (@t29 @t16)) % 1.12/1.35 (step @p1273 :rule cong :premises (@p1272) :args (@t31)) % 1.12/1.35 (step @p1274 :rule refl :args (@t34)) % 1.12/1.35 (step @p1275 :rule cong :premises (@p1274 @p1273) :args (@t35)) % 1.12/1.35 (step @p1276 :rule refl :args (@t36)) % 1.12/1.35 (step @p1277 :rule cong :premises (@p1276 @p1275) :args (@t37)) % 1.12/1.35 (step @p1278 :rule cong :premises (@p1277) :args (@t39)) % 1.12/1.35 (step @p1279 :rule trans :premises (@p1278 @p1271)) % 1.12/1.35 (step @p1280 :rule eq_resolve :premises (@p8 @p1279)) % 1.12/1.35 (step @p1281 :rule eq-symm :args (@t1081 @t1083)) % 1.12/1.35 (step @p1282 :rule refl :args (@t1084)) % 1.12/1.35 (step @p1283 :rule nary_cong :premises (@p1282 @p1281) :args (@t1085)) % 1.12/1.35 (step @p1284 :rule refl :args (@t1086)) % 1.12/1.35 (step @p1285 :rule cong :premises (@p1284 @p1283) :args ((=> @t1086 @t1085))) % 1.12/1.35 (assume-push @p1404 @t1086) % 1.12/1.35 (step @p1287 :rule instantiate :premises (@p1280) :args ((@list @t9 tptp.tc_Complex_Ocomplex))) % 1.12/1.35 (step-pop @p1405 :rule scope :premises (@p1287)) % 1.12/1.35 (step @p1288 :rule process_scope :premises (@p1405) :args (@t1085)) % 1.12/1.35 (step @p1290 :rule eq_resolve :premises (@p1288 @p1285)) % 1.12/1.35 (step @p1291 :rule implies_elim :premises (@p1290)) % 1.12/1.35 (step @p1292 :rule chain_m_resolution :premises (@p1291 @p1280) :args (@t1088 @t1073 (@list @t1086))) % 1.12/1.35 (step @p1293 :rule cnf_or_pos :args (@t1088)) % 1.12/1.35 (step @p1294 :rule reordering :premises (@p1293) :args ((or @t1084 @t1087 (not @t1088)))) % 1.12/1.35 (step @p1295 :rule chain_m_resolution :premises (@p1294 @p1151 @p1292) :args (@t1087 @t1074 (@list @t1057 @t1088))) % 1.12/1.35 (step @p1296 :rule symm :premises (@p2)) % 1.12/1.35 (step @p1297 :rule refl :args (@t1081)) % 1.12/1.35 (step @p1298 :rule bool-double-not-elim :args (@t1082)) % 1.12/1.35 (step @p1299 :rule refl :args (@t1089)) % 1.12/1.35 (step @p1300 :rule nary_cong :premises (@p1299 @p1298 @p1297) :args ((or @t1089 (not @t1083) @t1081))) % 1.12/1.35 (step @p1301 :rule cnf_equiv_pos1 :args (@t1087)) % 1.12/1.35 (step @p1302 :rule eq_resolve :premises (@p1301 @p1300)) % 1.12/1.35 (step @p1303 :rule reordering :premises (@p1302) :args ((or @t1082 @t1081 @t1089))) % 1.12/1.35 (step @p1304 :rule chain_m_resolution :premises (@p1303 @p1296 @p1295) :args (@t1081 (@list true false) (@list @t1082 @t1087))) % 1.12/1.35 (step @p1305 :rule cnf_or_pos :args (@t1095)) % 1.12/1.35 (step @p1306 :rule reordering :premises (@p1305) :args ((or @t1094 @t1093 @t1092 (not @t1095)))) % 1.12/1.35 (step @p1307 :rule chain_m_resolution :premises (@p1306 @p1113 @p1304 @p1269) :args (@t1092 (@list false false false) (@list @t1054 @t1081 @t1095))) % 1.12/1.35 (step @p1308 :rule cnf_equiv_pos2 :args (@t1092)) % 1.12/1.35 (step @p1309 :rule reordering :premises (@p1308) :args ((or @t1066 @t1097 @t1096))) % 1.12/1.35 (assume-push @p1406 @t126) % 1.12/1.35 (assume-push @p1407 @t206) % 1.12/1.35 (assume-push @p1408 @t1065) % 1.12/1.35 (assume-push @p1409 @t1071) % 1.12/1.35 (assume-push @p1410 @t1076) % 1.12/1.35 (assume-push @p1411 @t1065) % 1.12/1.35 (assume-push @p1412 @t206) % 1.12/1.35 (assume-push @p1413 @t1076) % 1.12/1.35 (assume-push @p1414 @t126) % 1.12/1.35 (assume-push @p1415 @t1071) % 1.12/1.35 (step @p1320 :rule true_intro :premises (@p1408)) % 1.12/1.35 (step @p1321 :rule symm :premises (@p128)) % 1.12/1.35 (step @p1322 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (step @p1323 :rule cong :premises (@p1322 @p1321) :args (@t1075)) % 1.12/1.35 (step @p1324 :rule symm :premises (@p1258)) % 1.12/1.35 (step @p1325 :rule refl :args (@t111)) % 1.12/1.35 (step @p1326 :rule symm :premises (@p48)) % 1.12/1.35 (step @p1327 :rule cong :premises (@p1322 @p1326) :args (@t1067)) % 1.12/1.35 (step @p1328 :rule trans :premises (@p1251 @p1327)) % 1.12/1.35 (step @p1329 :rule refl :args (@t305)) % 1.12/1.35 (step @p1330 :rule cong :premises (@p1329 @p1328) :args (@t536)) % 1.12/1.35 (step @p1331 :rule cong :premises (@p1330 @p1325) :args (@t1090)) % 1.12/1.35 (step @p1332 :rule trans :premises (@p1331 @p1324 @p1323)) % 1.12/1.35 (step @p1333 :rule refl :args (@t1064)) % 1.12/1.35 (step @p1334 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.12/1.35 (step @p1335 :rule cong :premises (@p1334 @p1333 @p1332) :args (@t1091)) % 1.12/1.35 (step @p1336 :rule trans :premises (@p1335 @p1320)) % 1.12/1.35 (step @p1337 :rule true_elim :premises (@p1336)) % 1.12/1.35 (step-pop @p1416 :rule scope :premises (@p1337)) % 1.12/1.35 (step-pop @p1417 :rule scope :premises (@p1416)) % 1.12/1.35 (step-pop @p1418 :rule scope :premises (@p1417)) % 1.12/1.35 (step-pop @p1419 :rule scope :premises (@p1418)) % 1.12/1.35 (step-pop @p1420 :rule scope :premises (@p1419)) % 1.12/1.35 (step @p1338 :rule process_scope :premises (@p1420) :args (@t1091)) % 1.12/1.35 (step @p1344 :rule and_intro :premises (@p1408 @p128 @p1258 @p48 @p1251)) % 1.12/1.35 (step @p1345 :rule modus_ponens :premises (@p1344 @p1338)) % 1.12/1.35 (step-pop @p1421 :rule scope :premises (@p1345)) % 1.12/1.35 (step-pop @p1422 :rule scope :premises (@p1421)) % 1.12/1.35 (step-pop @p1423 :rule scope :premises (@p1422)) % 1.12/1.35 (step-pop @p1424 :rule scope :premises (@p1423)) % 1.12/1.35 (step-pop @p1425 :rule scope :premises (@p1424)) % 1.12/1.35 (step @p1346 :rule process_scope :premises (@p1425) :args (@t1091)) % 1.12/1.35 (step @p1352 :rule implies_elim :premises (@p1346)) % 1.12/1.35 (step @p1353 :rule cnf_and_neg :args (@t1098)) % 1.12/1.35 (step @p1354 :rule resolution :premises (@p1353 @p1352) :args (true @t1098)) % 1.12/1.35 (step @p1355 :rule reordering :premises (@p1354) :args ((or @t1103 @t1102 @t1101 @t1091 @t1100 @t1099))) % 1.12/1.35 (step @p1356 :rule chain_m_resolution :premises (@p1355 @p1258 @p1251 @p128 @p48 @p1309 @p1307 @p1259) :args (@t1066 (@list false false false false true false false) (@list @t1076 @t1071 @t206 @t126 @t1091 @t1092 @t1065))) % 1.12/1.35 (step @p1357 :rule not_equiv_elim2 :premises (@p1232)) % 1.12/1.35 (step @p1358 :rule chain_m_resolution :premises (@p1357 @p1356) :args (@t1101 @t1073 (@list @t1066))) % 1.12/1.35 (step @p1359 :rule cnf_equiv_pos1 :args (@t1092)) % 1.12/1.35 (step @p1360 :rule reordering :premises (@p1359) :args ((or (not @t1066) @t1091 @t1096))) % 1.12/1.35 (step @p1361 :rule chain_m_resolution :premises (@p1360 @p1356 @p1307) :args (@t1091 @t1074 (@list @t1066 @t1092))) % 1.12/1.35 (step @p1362 :rule refl :args (@t1097)) % 1.12/1.35 (step @p1363 :rule refl :args (@t1099)) % 1.12/1.35 (step @p1364 :rule refl :args (@t1100)) % 1.12/1.35 (step @p1365 :rule bool-double-not-elim :args (@t1065)) % 1.12/1.35 (step @p1366 :rule refl :args (@t1102)) % 1.12/1.35 (step @p1367 :rule refl :args (@t1103)) % 1.12/1.35 (step @p1368 :rule nary_cong :premises (@p1367 @p1366 @p1365 @p1364 @p1363 @p1362) :args ((or @t1103 @t1102 (not @t1101) @t1100 @t1099 @t1097))) % 1.12/1.35 (assume-push @p1426 @t126) % 1.12/1.35 (assume-push @p1427 @t206) % 1.12/1.35 (assume-push @p1428 @t1101) % 1.12/1.35 (assume-push @p1429 @t1071) % 1.12/1.35 (assume-push @p1430 @t1076) % 1.12/1.35 (assume-push @p1431 @t1101) % 1.12/1.35 (assume-push @p1432 @t206) % 1.12/1.35 (assume-push @p1433 @t1076) % 1.12/1.35 (assume-push @p1434 @t126) % 1.12/1.35 (assume-push @p1435 @t1071) % 1.12/1.35 (step @p1379 :rule false_intro :premises (@p1428)) % 1.12/1.35 (step @p1321 :rule symm :premises (@p128)) % 1.12/1.35 (step @p1322 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.12/1.35 (step @p1323 :rule cong :premises (@p1322 @p1321) :args (@t1075)) % 1.12/1.35 (step @p1324 :rule symm :premises (@p1258)) % 1.12/1.35 (step @p1325 :rule refl :args (@t111)) % 1.12/1.35 (step @p1326 :rule symm :premises (@p48)) % 1.12/1.35 (step @p1327 :rule cong :premises (@p1322 @p1326) :args (@t1067)) % 1.12/1.35 (step @p1328 :rule trans :premises (@p1251 @p1327)) % 1.12/1.35 (step @p1329 :rule refl :args (@t305)) % 1.12/1.35 (step @p1330 :rule cong :premises (@p1329 @p1328) :args (@t536)) % 1.12/1.35 (step @p1331 :rule cong :premises (@p1330 @p1325) :args (@t1090)) % 1.12/1.35 (step @p1332 :rule trans :premises (@p1331 @p1324 @p1323)) % 1.12/1.35 (step @p1333 :rule refl :args (@t1064)) % 1.12/1.35 (step @p1334 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.12/1.35 (step @p1335 :rule cong :premises (@p1334 @p1333 @p1332) :args (@t1091)) % 1.12/1.35 (step @p1380 :rule trans :premises (@p1335 @p1379)) % 1.12/1.35 (step @p1381 :rule false_elim :premises (@p1380)) % 1.12/1.35 (step-pop @p1436 :rule scope :premises (@p1381)) % 1.12/1.35 (step-pop @p1437 :rule scope :premises (@p1436)) % 1.12/1.35 (step-pop @p1438 :rule scope :premises (@p1437)) % 1.12/1.35 (step-pop @p1439 :rule scope :premises (@p1438)) % 1.12/1.35 (step-pop @p1440 :rule scope :premises (@p1439)) % 1.12/1.35 (step @p1382 :rule process_scope :premises (@p1440) :args (@t1097)) % 1.12/1.35 (step @p1388 :rule and_intro :premises (@p1428 @p128 @p1258 @p48 @p1251)) % 1.12/1.35 (step @p1389 :rule modus_ponens :premises (@p1388 @p1382)) % 1.12/1.35 (step-pop @p1441 :rule scope :premises (@p1389)) % 1.12/1.35 (step-pop @p1442 :rule scope :premises (@p1441)) % 1.12/1.35 (step-pop @p1443 :rule scope :premises (@p1442)) % 1.12/1.35 (step-pop @p1444 :rule scope :premises (@p1443)) % 1.12/1.35 (step-pop @p1445 :rule scope :premises (@p1444)) % 1.12/1.35 (step @p1390 :rule process_scope :premises (@p1445) :args (@t1097)) % 1.12/1.35 (step @p1396 :rule implies_elim :premises (@p1390)) % 1.12/1.35 (step @p1397 :rule cnf_and_neg :args (@t1104)) % 1.12/1.35 (step @p1398 :rule resolution :premises (@p1397 @p1396) :args (true @t1104)) % 1.12/1.35 (step @p1399 :rule eq_resolve :premises (@p1398 @p1368)) % 1.12/1.35 (step @p1400 :rule reordering :premises (@p1399) :args ((or @t1065 @t1103 @t1102 @t1100 @t1099 @t1097))) % 1.12/1.35 (step @p1401 false :rule chain_m_resolution :premises (@p1400 @p1361 @p1358 @p1258 @p1251 @p128 @p48) :args (false (@list false true false false false false) (@list @t1091 @t1065 @t1076 @t1071 @t206 @t126))) % 1.12/1.35 ) % 1.12/1.35 % SZS output end Proof % 1.12/1.35 % cvc5 exiting %------------------------------------------------------------------------------