%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW181+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:04:28 AM UTC 2026 % Result : Theorem 1.14s 1.39s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW181+1 : TPTP v9.2.1. Released v5.2.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:38:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.48/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.14/1.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.14/1.39 % SZS status Theorem % 1.14/1.39 % SZS output start Proof % 1.14/1.39 ( % 1.14/1.39 (declare-sort $$unsorted 0) % 1.14/1.39 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.v_c____ $$unsorted) % 1.14/1.39 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.14/1.39 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.v_m____ $$unsorted) % 1.14/1.39 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.v_cs____ $$unsorted) % 1.14/1.39 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.14/1.39 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.14/1.39 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.v_r $$unsorted) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.14/1.39 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.14/1.39 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.14/1.39 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.39 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.14/1.39 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.14/1.39 (define @t3 () (@var "B_x" $$unsorted)) % 1.14/1.39 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.14/1.39 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.14/1.39 (define @t6 () (@list @t3)) % 1.14/1.39 (define @t7 () (@var "B_z" $$unsorted)) % 1.14/1.39 (define @t8 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_cs____) @t7))) % 1.14/1.39 (define @t9 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t7) tptp.v_r)) % 1.14/1.39 (define @t10 () (@list @t7)) % 1.14/1.39 (define @t11 () (@var "B_m" $$unsorted)) % 1.14/1.39 (define @t12 () (forall @t10 (=> @t9 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t11)))) % 1.14/1.39 (define @t13 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.14/1.39 (define @t14 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t11)) % 1.14/1.39 (define @t15 () (@list @t11)) % 1.14/1.39 (define @t16 () (@var "T_a" $$unsorted)) % 1.14/1.39 (define @t17 () (tptp.c_Groups_Ozero__class_Ozero @t16)) % 1.14/1.39 (define @t18 () (@var "V_x_2" $$unsorted)) % 1.14/1.39 (define @t19 () (= @t18 @t17)) % 1.14/1.39 (define @t20 () (not @t19)) % 1.14/1.39 (define @t21 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t18)) % 1.14/1.39 (define @t22 () (tptp.class_RealVector_Oreal__normed__vector @t16)) % 1.14/1.39 (define @t23 () (@list @t18 @t16)) % 1.14/1.39 (define @t24 () (@var "V_x" $$unsorted)) % 1.14/1.39 (define @t25 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t24)) % 1.14/1.39 (define @t26 () (@list @t24 @t16)) % 1.14/1.39 (define @t27 () (@list @t16)) % 1.14/1.39 (define @t28 () (tptp.class_Orderings_Opreorder @t16)) % 1.14/1.39 (define @t29 () (tptp.tc_Polynomial_Opoly @t16)) % 1.14/1.39 (define @t30 () (tptp.c_Groups_Ozero__class_Ozero @t29)) % 1.14/1.39 (define @t31 () (tptp.c_Polynomial_Opoly @t16 @t30)) % 1.14/1.39 (define @t32 () (tptp.class_Rings_Ocomm__semiring__0 @t16)) % 1.14/1.39 (define @t33 () (tptp.class_Groups_Ozero @t16)) % 1.14/1.39 (define @t34 () (@var "V_pa_2" $$unsorted)) % 1.14/1.39 (define @t35 () (= @t34 @t30)) % 1.14/1.39 (define @t36 () (@var "V_a_2" $$unsorted)) % 1.14/1.39 (define @t37 () (= @t36 @t17)) % 1.14/1.39 (define @t38 () (tptp.c_Polynomial_OpCons @t16 @t36 @t34)) % 1.14/1.39 (define @t39 () (@list @t34 @t36 @t16)) % 1.14/1.39 (define @t40 () (@var "V_y_2" $$unsorted)) % 1.14/1.39 (define @t41 () (= @t18 @t40)) % 1.14/1.39 (define @t42 () (not @t41)) % 1.14/1.39 (define @t43 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 @t40)) % 1.14/1.39 (define @t44 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t18 @t40)) % 1.14/1.39 (define @t45 () (@list @t40 @t18)) % 1.14/1.39 (define @t46 () (tptp.c_Polynomial_Opoly @t16 @t34)) % 1.14/1.39 (define @t47 () (tptp.class_Rings_Oidom @t16)) % 1.14/1.39 (define @t48 () (and (tptp.class_Int_Oring__char__0 @t16) @t47)) % 1.14/1.39 (define @t49 () (@var "V_y" $$unsorted)) % 1.14/1.39 (define @t50 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t49 @t24)) % 1.14/1.39 (define @t51 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t49)) % 1.14/1.39 (define @t52 () (tptp.class_Orderings_Olinorder @t16)) % 1.14/1.39 (define @t53 () (@list @t49 @t24 @t16)) % 1.14/1.39 (define @t54 () (@var "T_b" $$unsorted)) % 1.14/1.39 (define @t55 () (tptp.tc_fun @t16 @t54)) % 1.14/1.39 (define @t56 () (tptp.c_Orderings_Oord__class_Oless__eq @t55 @t2 @t1)) % 1.14/1.39 (define @t57 () (tptp.class_Orderings_Oord @t54)) % 1.14/1.39 (define @t58 () (@var "V_z" $$unsorted)) % 1.14/1.39 (define @t59 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t58 @t49)) % 1.14/1.39 (define @t60 () (tptp.class_Orderings_Oorder @t16)) % 1.14/1.39 (define @t61 () (@list @t58 @t24 @t49 @t16)) % 1.14/1.39 (define @t62 () (= @t24 @t49)) % 1.14/1.39 (define @t63 () (@list @t24 @t49 @t16)) % 1.14/1.39 (define @t64 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t49 @t58)) % 1.14/1.39 (define @t65 () (@list @t58 @t49 @t24 @t16)) % 1.14/1.39 (define @t66 () (@var "V_a" $$unsorted)) % 1.14/1.39 (define @t67 () (@var "V_c" $$unsorted)) % 1.14/1.39 (define @t68 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t67 @t66)) % 1.14/1.39 (define @t69 () (@var "V_b" $$unsorted)) % 1.14/1.39 (define @t70 () (= @t69 @t67)) % 1.14/1.39 (define @t71 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t66)) % 1.14/1.39 (define @t72 () (@list @t67 @t66 @t69 @t16)) % 1.14/1.39 (define @t73 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t66 @t67)) % 1.14/1.39 (define @t74 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t66 @t69)) % 1.14/1.39 (define @t75 () (tptp.class_Orderings_Oord @t16)) % 1.14/1.39 (define @t76 () (@list @t67 @t69 @t66 @t16)) % 1.14/1.39 (define @t77 () (= @t66 @t69)) % 1.14/1.39 (define @t78 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t67)) % 1.14/1.39 (define @t79 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t18 @t40)) % 1.14/1.39 (define @t80 () (= @t79 @t41)) % 1.14/1.39 (define @t81 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t40 @t18)) % 1.14/1.39 (define @t82 () (@list @t18 @t40 @t16)) % 1.14/1.39 (define @t83 () (@list @t40 @t18 @t16)) % 1.14/1.39 (define @t84 () (@list @t1 @t2 @t16 @t54)) % 1.14/1.39 (define @t85 () (tptp.c_Orderings_Oord__class_Oless @t16 @t49 @t24)) % 1.14/1.39 (define @t86 () (not @t62)) % 1.14/1.39 (define @t87 () (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t49)) % 1.14/1.39 (define @t88 () (not @t87)) % 1.14/1.39 (define @t89 () (tptp.c_Orderings_Oord__class_Oless @t16 @t58 @t24)) % 1.14/1.39 (define @t90 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t58 @t49) @t89)) % 1.14/1.39 (define @t91 () (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t58)) % 1.14/1.39 (define @t92 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t49 @t58) @t91)) % 1.14/1.39 (define @t93 () (tptp.c_Orderings_Oord__class_Oless @t16 @t67 @t66)) % 1.14/1.39 (define @t94 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t66)) % 1.14/1.39 (define @t95 () (tptp.c_Orderings_Oord__class_Oless @t16 @t66 @t67)) % 1.14/1.39 (define @t96 () (tptp.c_Orderings_Oord__class_Oless @t16 @t66 @t69)) % 1.14/1.39 (define @t97 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t67)) % 1.14/1.39 (define @t98 () (@list @t66 @t69 @t16)) % 1.14/1.39 (define @t99 () (@list @t69 @t66 @t16)) % 1.14/1.39 (define @t100 () (not (= @t49 @t24))) % 1.14/1.39 (define @t101 () (=> @t86 (=> @t88 @t85))) % 1.14/1.39 (define @t102 () (tptp.c_Orderings_Oord__class_Oless @t16 @t18 @t40)) % 1.14/1.39 (define @t103 () (not @t102)) % 1.14/1.39 (define @t104 () (= @t103 @t41)) % 1.14/1.39 (define @t105 () (tptp.c_Orderings_Oord__class_Oless @t16 @t40 @t18)) % 1.14/1.39 (define @t106 () (@var "V_w" $$unsorted)) % 1.14/1.39 (define @t107 () (= @t58 @t106)) % 1.14/1.39 (define @t108 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t106 @t58)) % 1.14/1.39 (define @t109 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t58 @t106)) % 1.14/1.39 (define @t110 () (@list @t106 @t58)) % 1.14/1.39 (define @t111 () (@var "V_k" $$unsorted)) % 1.14/1.39 (define @t112 () (@var "V_i" $$unsorted)) % 1.14/1.39 (define @t113 () (@var "V_j" $$unsorted)) % 1.14/1.39 (define @t114 () (@list @t111 @t113 @t112)) % 1.14/1.39 (define @t115 () (@list @t106)) % 1.14/1.39 (define @t116 () (@var "V_q_2" $$unsorted)) % 1.14/1.39 (define @t117 () (= @t34 @t116)) % 1.14/1.39 (define @t118 () (@var "V_b_2" $$unsorted)) % 1.14/1.39 (define @t119 () (= @t36 @t118)) % 1.14/1.39 (define @t120 () (not @t77)) % 1.14/1.39 (define @t121 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.14/1.39 (define @t122 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.14/1.39 (define @t123 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t122 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_c____)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t121 tptp.v_r) tptp.v_m____)))) % 1.14/1.39 (define @t124 () (@var "V_z_2" $$unsorted)) % 1.14/1.39 (define @t125 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_c____ tptp.v_cs____))) % 1.14/1.39 (define @t126 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t125 @t124)) @t123)) % 1.14/1.39 (define @t127 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t124) tptp.v_r)) % 1.14/1.39 (define @t128 () (@list @t124)) % 1.14/1.39 (define @t129 () (forall @t128 (=> @t127 @t126))) % 1.14/1.39 (define @t130 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t36)) % 1.14/1.39 (define @t131 () (tptp.class_Rings_Olinordered__idom @t16)) % 1.14/1.39 (define @t132 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.14/1.39 (define @t133 () (tptp.c_Polynomial_Opoly__rec @t16 @t54 @t124 @t2 @t34)) % 1.14/1.39 (define @t134 () (tptp.hAPP (tptp.hAPP @t2 @t36) @t34)) % 1.14/1.39 (define @t135 () (tptp.c_Polynomial_Opoly__rec @t16 @t54 @t124 @t2 (tptp.c_Polynomial_OpCons @t54 @t36 @t34))) % 1.14/1.39 (define @t136 () (tptp.tc_Polynomial_Opoly @t54)) % 1.14/1.39 (define @t137 () (tptp.c_Groups_Ozero__class_Ozero @t136)) % 1.14/1.39 (define @t138 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t54)) @t137) @t124) @t124)) % 1.14/1.39 (define @t139 () (tptp.class_Groups_Ozero @t54)) % 1.14/1.39 (define @t140 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t123)) % 1.14/1.39 (define @t141 () (@var "V_p" $$unsorted)) % 1.14/1.39 (define @t142 () (tptp.c_Polynomial_Osynthetic__div @t16 @t141 @t67)) % 1.14/1.39 (define @t143 () (tptp.c_Polynomial_Opoly @t16 @t141)) % 1.14/1.39 (define @t144 () (tptp.hAPP @t143 @t67)) % 1.14/1.39 (define @t145 () (tptp.c_Polynomial_OpCons @t16 @t66 @t141)) % 1.14/1.39 (define @t146 () (@var "B_K" $$unsorted)) % 1.14/1.39 (define @t147 () (@var "B_n" $$unsorted)) % 1.14/1.39 (define @t148 () (@var "V_X_2" $$unsorted)) % 1.14/1.39 (define @t149 () (tptp.hAPP @t148 @t147)) % 1.14/1.39 (define @t150 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t149)) % 1.14/1.39 (define @t151 () (@list @t147)) % 1.14/1.39 (define @t152 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t146)) % 1.14/1.39 (define @t153 () (@list @t146)) % 1.14/1.39 (define @t154 () (exists @t153 (and @t152 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t150 @t146))))) % 1.14/1.39 (define @t155 () (tptp.c_SEQ_OBseq @t16 @t148)) % 1.14/1.39 (define @t156 () (@list @t148 @t16)) % 1.14/1.39 (define @t157 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t24)) % 1.14/1.39 (define @t158 () (@list @t24)) % 1.14/1.39 (define @t159 () (@var "V_r" $$unsorted)) % 1.14/1.39 (define @t160 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t159)) % 1.14/1.39 (define @t161 () (@list @t159)) % 1.14/1.39 (define @t162 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t69)) % 1.14/1.39 (define @t163 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t66)) % 1.14/1.39 (define @t164 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t163 @t162)) % 1.14/1.39 (define @t165 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t69)) % 1.14/1.39 (define @t166 () (tptp.class_Groups_Oordered__ab__group__add__abs @t16)) % 1.14/1.39 (define @t167 () (@list @t58)) % 1.14/1.39 (define @t168 () (tptp.hAPP @t121 @t58)) % 1.14/1.39 (define @t169 () (@var "V_b_H" $$unsorted)) % 1.14/1.39 (define @t170 () (tptp.c_Groups_Otimes__class_Otimes @t16)) % 1.14/1.39 (define @t171 () (tptp.hAPP @t170 @t66)) % 1.14/1.39 (define @t172 () (tptp.hAPP @t171 @t169)) % 1.14/1.39 (define @t173 () (tptp.hAPP @t171 @t69)) % 1.14/1.39 (define @t174 () (tptp.class_RealVector_Oreal__normed__algebra @t16)) % 1.14/1.39 (define @t175 () (@list @t169 @t69 @t66 @t16)) % 1.14/1.39 (define @t176 () (@var "V_xa" $$unsorted)) % 1.14/1.39 (define @t177 () (tptp.hAPP @t170 @t176)) % 1.14/1.39 (define @t178 () (tptp.hAPP @t177 @t49)) % 1.14/1.39 (define @t179 () (tptp.hAPP @t177 @t24)) % 1.14/1.39 (define @t180 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t24 @t49)) % 1.14/1.39 (define @t181 () (@list @t49 @t24 @t176 @t16)) % 1.14/1.39 (define @t182 () (@var "V_z3" $$unsorted)) % 1.14/1.39 (define @t183 () (@var "V_z2" $$unsorted)) % 1.14/1.39 (define @t184 () (tptp.hAPP @t121 @t183)) % 1.14/1.39 (define @t185 () (@var "V_z1" $$unsorted)) % 1.14/1.39 (define @t186 () (tptp.hAPP @t121 @t185)) % 1.14/1.39 (define @t187 () (@list @t182 @t183 @t185)) % 1.14/1.39 (define @t188 () (@var "V_a_H" $$unsorted)) % 1.14/1.39 (define @t189 () (tptp.hAPP (tptp.hAPP @t170 @t188) @t69)) % 1.14/1.39 (define @t190 () (@list @t69 @t188 @t66 @t16)) % 1.14/1.39 (define @t191 () (@var "V_ya" $$unsorted)) % 1.14/1.39 (define @t192 () (tptp.hAPP @t170 @t49)) % 1.14/1.39 (define @t193 () (tptp.hAPP @t192 @t191)) % 1.14/1.39 (define @t194 () (tptp.hAPP @t170 @t24)) % 1.14/1.39 (define @t195 () (tptp.hAPP @t194 @t191)) % 1.14/1.39 (define @t196 () (@list @t191 @t49 @t24 @t16)) % 1.14/1.39 (define @t197 () (@list @t106 @t183 @t185)) % 1.14/1.39 (define @t198 () (@var "V_v" $$unsorted)) % 1.14/1.39 (define @t199 () (@var "V_u" $$unsorted)) % 1.14/1.39 (define @t200 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t170 @t199) @t24) (tptp.hAPP (tptp.hAPP @t170 @t198) @t49))) % 1.14/1.39 (define @t201 () (tptp.c_Groups_Oone__class_Oone @t16)) % 1.14/1.39 (define @t202 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t199 @t198) @t201)) % 1.14/1.39 (define @t203 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t198)) % 1.14/1.39 (define @t204 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t199)) % 1.14/1.39 (define @t205 () (@list @t198 @t199 @t49 @t66 @t24 @t16)) % 1.14/1.39 (define @t206 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t67 @t66)) % 1.14/1.39 (define @t207 () (tptp.class_Groups_Ocancel__semigroup__add @t16)) % 1.14/1.39 (define @t208 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t67)) % 1.14/1.39 (define @t209 () (=> (= @t165 @t208) @t70)) % 1.14/1.39 (define @t210 () (@var "V_d" $$unsorted)) % 1.14/1.39 (define @t211 () (tptp.hAPP @t170 @t67)) % 1.14/1.39 (define @t212 () (tptp.hAPP @t170 @t163)) % 1.14/1.39 (define @t213 () (tptp.hAPP @t212 @t162)) % 1.14/1.39 (define @t214 () (@var "V_n" $$unsorted)) % 1.14/1.39 (define @t215 () (@var "V_m" $$unsorted)) % 1.14/1.39 (define @t216 () (tptp.class_Rings_Olinordered__semidom @t16)) % 1.14/1.39 (define @t217 () (@var "V_e" $$unsorted)) % 1.14/1.39 (define @t218 () (tptp.hAPP @t170 @t165)) % 1.14/1.39 (define @t219 () (tptp.hAPP @t170 @t69)) % 1.14/1.39 (define @t220 () (@var "V_ca_2" $$unsorted)) % 1.14/1.39 (define @t221 () (= @t118 @t220)) % 1.14/1.39 (define @t222 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t220 @t36)) % 1.14/1.39 (define @t223 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t118 @t36)) % 1.14/1.39 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t36 @t220)) % 1.14/1.39 (define @t225 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t36 @t118)) % 1.14/1.39 (define @t226 () (tptp.hAPP @t219 @t67)) % 1.14/1.39 (define @t227 () (tptp.hAPP @t171 @t67)) % 1.14/1.39 (define @t228 () (= (tptp.hAPP @t218 @t67) (tptp.c_Groups_Oplus__class_Oplus @t16 @t227 @t226))) % 1.14/1.39 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t67)) % 1.14/1.39 (define @t230 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t165 @t67)) % 1.14/1.39 (define @t231 () (= @t230 (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t229))) % 1.14/1.39 (define @t232 () (tptp.hAPP @t171 @t66)) % 1.14/1.39 (define @t233 () (@list @t66 @t16)) % 1.14/1.39 (define @t234 () (= (tptp.hAPP @t171 @t201) @t66)) % 1.14/1.39 (define @t235 () (tptp.class_Groups_Ocomm__monoid__mult @t16)) % 1.14/1.39 (define @t236 () (tptp.class_Groups_Omonoid__mult @t16)) % 1.14/1.39 (define @t237 () (= @t18 @t201)) % 1.14/1.39 (define @t238 () (= (tptp.hAPP (tptp.hAPP @t170 @t201) @t66) @t66)) % 1.14/1.39 (define @t239 () (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t173) @t213)) % 1.14/1.39 (define @t240 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t201)) % 1.14/1.39 (define @t241 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t36)) % 1.14/1.39 (define @t242 () (@list @t36 @t16)) % 1.14/1.39 (define @t243 () (= @t18 @t13)) % 1.14/1.39 (define @t244 () (tptp.hAPP @t121 @t40)) % 1.14/1.39 (define @t245 () (tptp.hAPP @t121 @t18)) % 1.14/1.39 (define @t246 () (tptp.hAPP @t245 @t18)) % 1.14/1.39 (define @t247 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t163 @t69)) % 1.14/1.39 (define @t248 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t49)) % 1.14/1.39 (define @t249 () (tptp.hAPP (tptp.hAPP @t121 @t25) @t248)) % 1.14/1.39 (define @t250 () (tptp.hAPP @t194 @t49)) % 1.14/1.39 (define @t251 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t250)) % 1.14/1.39 (define @t252 () (tptp.class_RealVector_Oreal__normed__div__algebra @t16)) % 1.14/1.39 (define @t253 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t16)) % 1.14/1.39 (define @t254 () (@var "V_q" $$unsorted)) % 1.14/1.39 (define @t255 () (tptp.c_Groups_Oplus__class_Oplus @t29 @t141 @t254)) % 1.14/1.39 (define @t256 () (tptp.c_Polynomial_OpCons @t16 @t69 @t254)) % 1.14/1.39 (define @t257 () (tptp.class_Groups_Ocomm__monoid__add @t16)) % 1.14/1.39 (define @t258 () (@list @t254 @t69 @t141 @t66 @t16)) % 1.14/1.39 (define @t259 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t17 @t66) @t66)) % 1.14/1.39 (define @t260 () (tptp.class_Groups_Omonoid__add @t16)) % 1.14/1.39 (define @t261 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t36 @t36)) % 1.14/1.39 (define @t262 () (tptp.class_Groups_Olinordered__ab__group__add @t16)) % 1.14/1.39 (define @t263 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t17) @t66)) % 1.14/1.39 (define @t264 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t36 @t118)) % 1.14/1.39 (define @t265 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t118 @t220)) % 1.14/1.39 (define @t266 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t16)) % 1.14/1.39 (define @t267 () (@list @t118 @t220 @t36 @t16)) % 1.14/1.39 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t220 @t118)) % 1.14/1.39 (define @t269 () (@list @t118 @t36 @t220 @t16)) % 1.14/1.39 (define @t270 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t208 @t229)) % 1.14/1.39 (define @t271 () (tptp.class_Groups_Oordered__ab__semigroup__add @t16)) % 1.14/1.39 (define @t272 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t67 @t69)) % 1.14/1.39 (define @t273 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t206 @t272)) % 1.14/1.39 (define @t274 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t210)) % 1.14/1.39 (define @t275 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t67 @t210)) % 1.14/1.39 (define @t276 () (@list @t210 @t67 @t69 @t66 @t16)) % 1.14/1.39 (define @t277 () (@list @t69 @t67 @t66 @t16)) % 1.14/1.39 (define @t278 () (@list @t69 @t66 @t67 @t16)) % 1.14/1.39 (define @t279 () (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t118)) % 1.14/1.39 (define @t280 () (tptp.c_Orderings_Oord__class_Oless @t16 @t208 @t229)) % 1.14/1.39 (define @t281 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t16)) % 1.14/1.39 (define @t282 () (tptp.c_Orderings_Oord__class_Oless @t16 @t206 @t272)) % 1.14/1.39 (define @t283 () (tptp.c_Orderings_Oord__class_Oless @t16 @t208 @t274)) % 1.14/1.39 (define @t284 () (tptp.c_Orderings_Oord__class_Oless @t16 @t67 @t210)) % 1.14/1.39 (define @t285 () (=> @t284 @t283)) % 1.14/1.39 (define @t286 () (tptp.hAPP @t170 @t17)) % 1.14/1.39 (define @t287 () (= (tptp.hAPP @t286 @t66) @t17)) % 1.14/1.39 (define @t288 () (tptp.class_Rings_Omult__zero @t16)) % 1.14/1.39 (define @t289 () (= (tptp.hAPP @t171 @t17) @t17)) % 1.14/1.39 (define @t290 () (tptp.hAPP @t170 @t36)) % 1.14/1.39 (define @t291 () (tptp.hAPP @t290 @t118)) % 1.14/1.39 (define @t292 () (@list @t118 @t36 @t16)) % 1.14/1.39 (define @t293 () (= @t173 @t17)) % 1.14/1.39 (define @t294 () (= @t69 @t17)) % 1.14/1.39 (define @t295 () (= @t66 @t17)) % 1.14/1.39 (define @t296 () (not @t295)) % 1.14/1.39 (define @t297 () (tptp.class_Rings_Ono__zero__divisors @t16)) % 1.14/1.39 (define @t298 () (tptp.class_Rings_Ozero__neq__one @t16)) % 1.14/1.39 (define @t299 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t254) @t24)) % 1.14/1.39 (define @t300 () (tptp.hAPP @t143 @t24)) % 1.14/1.39 (define @t301 () (@list @t24 @t254 @t141 @t16)) % 1.14/1.39 (define @t302 () (tptp.c_Groups_Otimes__class_Otimes @t29)) % 1.14/1.39 (define @t303 () (tptp.hAPP @t302 @t141)) % 1.14/1.39 (define @t304 () (tptp.hAPP @t303 @t254)) % 1.14/1.39 (define @t305 () (tptp.c_Groups_Oone__class_Oone @t29)) % 1.14/1.39 (define @t306 () (tptp.class_Rings_Ocomm__semiring__1 @t16)) % 1.14/1.39 (define @t307 () (tptp.hAPP @t192 @t24)) % 1.14/1.39 (define @t308 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t24)) % 1.14/1.39 (define @t309 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t17)) % 1.14/1.39 (define @t310 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t69)) % 1.14/1.39 (define @t311 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t66 @t17)) % 1.14/1.39 (define @t312 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t66)) % 1.14/1.39 (define @t313 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t201 @t201)) % 1.14/1.39 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t49 @t201)) % 1.14/1.39 (define @t315 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t49)) % 1.14/1.39 (define @t316 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t180)) % 1.14/1.39 (define @t317 () (@var "V_s" $$unsorted)) % 1.14/1.39 (define @t318 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t248 @t317)) % 1.14/1.39 (define @t319 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t25 @t159)) % 1.14/1.39 (define @t320 () (@list @t317 @t49 @t159 @t24 @t16)) % 1.14/1.39 (define @t321 () (tptp.c_Polynomial_OpCons @t16 @t201 @t30)) % 1.14/1.39 (define @t322 () (@list @t49 @t16)) % 1.14/1.39 (define @t323 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t66)) % 1.14/1.39 (define @t324 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t49)) % 1.14/1.39 (define @t325 () (@list @t58 @t49 @t24)) % 1.14/1.39 (define @t326 () (= @t163 @t66)) % 1.14/1.39 (define @t327 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t66)) % 1.14/1.39 (define @t328 () (not (= @t220 @t13))) % 1.14/1.39 (define @t329 () (@list @t118 @t36 @t220)) % 1.14/1.39 (define @t330 () (tptp.hAPP @t121 @t220)) % 1.14/1.39 (define @t331 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t36)) % 1.14/1.39 (define @t332 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t36 @t17)) % 1.14/1.39 (define @t333 () (tptp.class_Groups_Oordered__comm__monoid__add @t16)) % 1.14/1.39 (define @t334 () (= @t40 @t17)) % 1.14/1.39 (define @t335 () (and @t19 @t334)) % 1.14/1.39 (define @t336 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t18 @t40) @t17)) % 1.14/1.39 (define @t337 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t208)) % 1.14/1.39 (define @t338 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t67)) % 1.14/1.39 (define @t339 () (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t17)) % 1.14/1.39 (define @t340 () (= (tptp.c_Orderings_Oord__class_Oless @t16 @t261 @t17) @t339)) % 1.14/1.39 (define @t341 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t165)) % 1.14/1.39 (define @t342 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t69)) % 1.14/1.39 (define @t343 () (=> @t342 @t341)) % 1.14/1.39 (define @t344 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t208)) % 1.14/1.39 (define @t345 () (=> @t97 @t344)) % 1.14/1.39 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t16 @t165 @t17)) % 1.14/1.39 (define @t347 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t17)) % 1.14/1.39 (define @t348 () (=> @t347 @t346)) % 1.14/1.39 (define @t349 () (tptp.c_Orderings_Oord__class_Oless @t16 @t66 @t17)) % 1.14/1.39 (define @t350 () (tptp.class_Rings_Olinordered__ring @t16)) % 1.14/1.39 (define @t351 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t118 @t17)) % 1.14/1.39 (define @t352 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t118)) % 1.14/1.39 (define @t353 () (tptp.class_Rings_Olinordered__ring__strict @t16)) % 1.14/1.39 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t173)) % 1.14/1.39 (define @t355 () (tptp.class_Rings_Oordered__cancel__semiring @t16)) % 1.14/1.39 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t173 @t17)) % 1.14/1.39 (define @t357 () (tptp.hAPP @t219 @t66)) % 1.14/1.39 (define @t358 () (tptp.class_Rings_Oordered__ring @t16)) % 1.14/1.39 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t227 @t226)) % 1.14/1.39 (define @t360 () (tptp.class_Rings_Oordered__semiring @t16)) % 1.14/1.39 (define @t361 () (tptp.hAPP @t211 @t69)) % 1.14/1.39 (define @t362 () (tptp.hAPP @t211 @t66)) % 1.14/1.39 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t362 @t361)) % 1.14/1.39 (define @t364 () (=> @t74 (=> @t338 @t363))) % 1.14/1.39 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t67 @t17)) % 1.14/1.39 (define @t366 () (tptp.hAPP @t219 @t210)) % 1.14/1.39 (define @t367 () (=> @t338 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t227 @t366))) % 1.14/1.39 (define @t368 () (tptp.c_Orderings_Oord__class_Oless @t16 @t118 @t36)) % 1.14/1.39 (define @t369 () (tptp.c_Orderings_Oord__class_Oless @t16 @t220 @t17)) % 1.14/1.39 (define @t370 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t220)) % 1.14/1.39 (define @t371 () (or (and @t370 @t279) (and @t369 @t368))) % 1.14/1.39 (define @t372 () (tptp.hAPP @t170 @t118)) % 1.14/1.39 (define @t373 () (tptp.hAPP @t372 @t220)) % 1.14/1.39 (define @t374 () (tptp.hAPP @t290 @t220)) % 1.14/1.39 (define @t375 () (tptp.hAPP @t170 @t220)) % 1.14/1.39 (define @t376 () (tptp.hAPP @t375 @t118)) % 1.14/1.39 (define @t377 () (tptp.hAPP @t375 @t36)) % 1.14/1.39 (define @t378 () (tptp.c_Orderings_Oord__class_Oless @t16 @t377 @t376)) % 1.14/1.39 (define @t379 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t173)) % 1.14/1.39 (define @t380 () (tptp.class_Rings_Olinordered__semiring__strict @t16)) % 1.14/1.39 (define @t381 () (tptp.c_Orderings_Oord__class_Oless @t16 @t173 @t17)) % 1.14/1.39 (define @t382 () (=> @t327 @t342)) % 1.14/1.39 (define @t383 () (tptp.c_Orderings_Oord__class_Oless @t16 @t227 @t226)) % 1.14/1.39 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t67)) % 1.14/1.39 (define @t385 () (tptp.c_Orderings_Oord__class_Oless @t16 @t362 @t361)) % 1.14/1.39 (define @t386 () (=> @t96 (=> @t384 @t385))) % 1.14/1.39 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t16 @t67 @t17)) % 1.14/1.39 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t377 @t376)) % 1.14/1.39 (define @t389 () (tptp.c_Orderings_Oord__class_Oless @t16 @t227 @t366)) % 1.14/1.39 (define @t390 () (=> @t338 @t389)) % 1.14/1.39 (define @t391 () (=> @t338 @t96)) % 1.14/1.39 (define @t392 () (=> @t383 @t391)) % 1.14/1.39 (define @t393 () (tptp.class_Rings_Olinordered__semiring @t16)) % 1.14/1.39 (define @t394 () (=> @t385 @t391)) % 1.14/1.39 (define @t395 () (=> @t384 @t74)) % 1.14/1.39 (define @t396 () (tptp.hAPP @t244 @t124)) % 1.14/1.39 (define @t397 () (tptp.hAPP @t245 @t124)) % 1.14/1.39 (define @t398 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t124)) % 1.14/1.39 (define @t399 () (@list @t40 @t18 @t124)) % 1.14/1.39 (define @t400 () (tptp.hAPP @t121 @t24)) % 1.14/1.39 (define @t401 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t24)) % 1.14/1.39 (define @t402 () (@list @t49 @t24)) % 1.14/1.39 (define @t403 () (tptp.hAPP @t121 @t124)) % 1.14/1.39 (define @t404 () (= @t24 @t17)) % 1.14/1.39 (define @t405 () (tptp.hAPP @t121 @t67)) % 1.14/1.39 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t67 @t13)) % 1.14/1.39 (define @t407 () (= @t24 @t13)) % 1.14/1.39 (define @t408 () (tptp.hAPP @t194 @t24)) % 1.14/1.39 (define @t409 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t408 (tptp.hAPP @t192 @t49))) % 1.14/1.39 (define @t410 () (tptp.hAPP @t170 @t18)) % 1.14/1.39 (define @t411 () (tptp.hAPP @t410 @t18)) % 1.14/1.39 (define @t412 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t411 (tptp.hAPP (tptp.hAPP @t170 @t40) @t40))) % 1.14/1.39 (define @t413 () (@list @t18)) % 1.14/1.39 (define @t414 () (tptp.hAPP (tptp.hAPP @t170 @t240) @t215)) % 1.14/1.39 (define @t415 () (tptp.hAPP @t171 @t215)) % 1.14/1.39 (define @t416 () (tptp.hAPP @t302 @t254)) % 1.14/1.39 (define @t417 () (@list @t254 @t16)) % 1.14/1.39 (define @t418 () (@list @t141 @t16)) % 1.14/1.39 (define @t419 () (tptp.c_Polynomial_Opos__poly @t16 @t254)) % 1.14/1.39 (define @t420 () (tptp.c_Polynomial_Opos__poly @t16 @t141)) % 1.14/1.39 (define @t421 () (@list @t254 @t141 @t16)) % 1.14/1.39 (define @t422 () (@var "V_ry" $$unsorted)) % 1.14/1.39 (define @t423 () (@var "V_lx" $$unsorted)) % 1.14/1.39 (define @t424 () (tptp.hAPP @t170 @t423)) % 1.14/1.39 (define @t425 () (@var "V_rx" $$unsorted)) % 1.14/1.39 (define @t426 () (tptp.hAPP @t170 @t425)) % 1.14/1.39 (define @t427 () (tptp.hAPP @t426 @t422)) % 1.14/1.39 (define @t428 () (tptp.hAPP @t424 @t427)) % 1.14/1.39 (define @t429 () (@list @t422 @t425 @t423 @t16)) % 1.14/1.39 (define @t430 () (tptp.hAPP @t170 (tptp.hAPP @t424 @t425))) % 1.14/1.39 (define @t431 () (@var "V_ly" $$unsorted)) % 1.14/1.39 (define @t432 () (tptp.hAPP @t170 @t431)) % 1.14/1.39 (define @t433 () (tptp.hAPP @t170 (tptp.hAPP @t424 @t431))) % 1.14/1.39 (define @t434 () (tptp.hAPP @t433 @t425)) % 1.14/1.39 (define @t435 () (@list @t425 @t431 @t423 @t16)) % 1.14/1.39 (define @t436 () (tptp.hAPP @t433 @t427)) % 1.14/1.39 (define @t437 () (@list @t422 @t425 @t431 @t423 @t16)) % 1.14/1.39 (define @t438 () (@list @t58 @t106)) % 1.14/1.39 (define @t439 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t67 @t210)) % 1.14/1.39 (define @t440 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t439)) % 1.14/1.39 (define @t441 () (@list @t210 @t67 @t66 @t16)) % 1.14/1.39 (define @t442 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t16)) % 1.14/1.39 (define @t443 () (@list @t36 @t118 @t16)) % 1.14/1.39 (define @t444 () (@var "V_d_2" $$unsorted)) % 1.14/1.39 (define @t445 () (= @t220 @t444)) % 1.14/1.39 (define @t446 () (@list @t444 @t220 @t118 @t36 @t16)) % 1.14/1.39 (define @t447 () (@var "V_w_2" $$unsorted)) % 1.14/1.39 (define @t448 () (tptp.hAPP @t170 @t447)) % 1.14/1.39 (define @t449 () (tptp.hAPP @t170 @t159)) % 1.14/1.39 (define @t450 () (tptp.c_Polynomial_Opcompose @t16 @t141 @t254)) % 1.14/1.39 (define @t451 () (@list @t214)) % 1.14/1.39 (define @t452 () (tptp.class_Rings_Ocomm__ring__1 @t16)) % 1.14/1.39 (define @t453 () (tptp.hAPP (tptp.hAPP @t121 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t3)) @t146)) % 1.14/1.39 (define @t454 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.hAPP (tptp.hAPP @t170 @t3) @t49)) @t453))) % 1.14/1.39 (define @t455 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.14/1.39 (define @t456 () (tptp.hAPP @t455 @t215)) % 1.14/1.39 (define @t457 () (tptp.hAPP @t456 @t215)) % 1.14/1.39 (define @t458 () (@list @t215)) % 1.14/1.39 (define @t459 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t214)) % 1.14/1.39 (define @t460 () (@list @t215 @t214)) % 1.14/1.39 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t214 @t215)) % 1.14/1.39 (define @t462 () (@var "V_k_2" $$unsorted)) % 1.14/1.39 (define @t463 () (@var "V_l_2" $$unsorted)) % 1.14/1.39 (define @t464 () (@list @t463 @t462)) % 1.14/1.39 (define @t465 () (@var "B_k" $$unsorted)) % 1.14/1.39 (define @t466 () (@var "V_ma_2" $$unsorted)) % 1.14/1.39 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t466 @t465)) % 1.14/1.39 (define @t468 () (@var "V_n_2" $$unsorted)) % 1.14/1.39 (define @t469 () (@list @t465)) % 1.14/1.39 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t466 @t468)) % 1.14/1.39 (define @t471 () (@list @t468 @t466)) % 1.14/1.39 (define @t472 () (= @t466 @t468)) % 1.14/1.39 (define @t473 () (not @t472)) % 1.14/1.39 (define @t474 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t466 @t468)) % 1.14/1.39 (define @t475 () (or @t474 @t472)) % 1.14/1.39 (define @t476 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t462 @t468)) % 1.14/1.39 (define @t477 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t462 @t466)) % 1.14/1.39 (define @t478 () (@list @t468 @t466 @t462)) % 1.14/1.39 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 @t214)) % 1.14/1.39 (define @t480 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t215 @t214)) % 1.14/1.39 (define @t481 () (@list @t214 @t215)) % 1.14/1.39 (define @t482 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t113 @t215)) % 1.14/1.39 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t112 @t113)) % 1.14/1.39 (define @t484 () (@list @t215 @t113 @t112)) % 1.14/1.39 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t113)) % 1.14/1.39 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t113 @t111)) % 1.14/1.39 (define @t487 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t112 @t111)) % 1.14/1.39 (define @t488 () (tptp.hAPP @t455 @t113)) % 1.14/1.39 (define @t489 () (tptp.hAPP @t488 @t111)) % 1.14/1.39 (define @t490 () (tptp.hAPP @t455 @t112)) % 1.14/1.39 (define @t491 () (tptp.hAPP @t490 @t111)) % 1.14/1.39 (define @t492 () (tptp.hAPP @t455 @t111)) % 1.14/1.39 (define @t493 () (tptp.hAPP @t492 @t113)) % 1.14/1.39 (define @t494 () (tptp.hAPP @t492 @t112)) % 1.14/1.39 (define @t495 () (= @t215 @t214)) % 1.14/1.39 (define @t496 () (not @t495)) % 1.14/1.39 (define @t497 () (@var "V_l" $$unsorted)) % 1.14/1.39 (define @t498 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t113 @t497)) % 1.14/1.39 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t497)) % 1.14/1.39 (define @t500 () (@list @t497 @t111 @t113 @t112)) % 1.14/1.39 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t214)) % 1.14/1.39 (define @t502 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t111)) % 1.14/1.39 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t502 @t214)) % 1.14/1.39 (define @t504 () (@list @t214 @t111 @t215)) % 1.14/1.39 (define @t505 () (@var "V_P_2" $$unsorted)) % 1.14/1.39 (define @t506 () (tptp.hAPP @t505 @t468)) % 1.14/1.39 (define @t507 () (tptp.hBOOL (tptp.hAPP @t506 @t466))) % 1.14/1.39 (define @t508 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t468 @t466)) % 1.14/1.39 (define @t509 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t112 @t113)) % 1.14/1.39 (define @t510 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t111 @t214)) % 1.14/1.39 (define @t511 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t111 @t497)) % 1.14/1.39 (define @t512 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t113)) % 1.14/1.39 (define @t513 () (@var "V_t" $$unsorted)) % 1.14/1.39 (define @t514 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t215)) % 1.14/1.39 (define @t515 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t49)) % 1.14/1.39 (define @t516 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t113 @t112)) % 1.14/1.39 (define @t517 () (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t141)) % 1.14/1.39 (define @t518 () (tptp.class_Rings_Ocomm__ring @t16)) % 1.14/1.39 (define @t519 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t66)) % 1.14/1.39 (define @t520 () (tptp.class_Groups_Oab__group__add @t16)) % 1.14/1.39 (define @t521 () (@list @t141 @t66 @t16)) % 1.14/1.39 (define @t522 () (tptp.class_Groups_Ogroup__add @t16)) % 1.14/1.39 (define @t523 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t36)) % 1.14/1.39 (define @t524 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t118)) % 1.14/1.39 (define @t525 () (= @t36 @t524)) % 1.14/1.39 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t214 @t215)) % 1.14/1.39 (define @t527 () (tptp.class_Groups_Oordered__ab__group__add @t16)) % 1.14/1.39 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t523 @t118)) % 1.14/1.39 (define @t529 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t69)) % 1.14/1.39 (define @t530 () (tptp.c_Orderings_Oord__class_Oless @t16 @t523 @t118)) % 1.14/1.39 (define @t531 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t173)) % 1.14/1.39 (define @t532 () (tptp.hAPP @t171 @t529)) % 1.14/1.39 (define @t533 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t24)) % 1.14/1.39 (define @t534 () (tptp.hAPP @t170 @t519)) % 1.14/1.39 (define @t535 () (tptp.hAPP @t534 @t69)) % 1.14/1.39 (define @t536 () (tptp.class_Rings_Oring @t16)) % 1.14/1.39 (define @t537 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t165)) % 1.14/1.39 (define @t538 () (tptp.c_Groups_Oabs__class_Oabs @t29 @t24)) % 1.14/1.39 (define @t539 () (tptp.c_Orderings_Oord__class_Oless @t29 @t24 @t30)) % 1.14/1.39 (define @t540 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t519 @t66) @t17)) % 1.14/1.39 (define @t541 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t18)) % 1.14/1.39 (define @t542 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t201)) % 1.14/1.39 (define @t543 () (tptp.class_Rings_Oring__1__no__zero__divisors @t16)) % 1.14/1.39 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t519 @t69)) % 1.14/1.39 (define @t545 () (@list @t36 @t18)) % 1.14/1.39 (define @t546 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t18)) % 1.14/1.39 (define @t547 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t18 @t40)) % 1.14/1.39 (define @t548 () (@var "V_ra_2" $$unsorted)) % 1.14/1.39 (define @t549 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t49))) % 1.14/1.39 (define @t550 () (= @t141 @t30)) % 1.14/1.39 (define @t551 () (= @t163 @t519)) % 1.14/1.39 (define @t552 () (=> @t349 @t551)) % 1.14/1.39 (define @t553 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t66)) % 1.14/1.39 (define @t554 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t66 @t13)) % 1.14/1.39 (define @t555 () (@list @t66)) % 1.14/1.39 (define @t556 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t159 @t13)) % 1.14/1.39 (define @t557 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t215)) % 1.14/1.39 (define @t558 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t497)) % 1.14/1.39 (define @t559 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t468)) % 1.14/1.39 (define @t560 () (= @t468 @t132)) % 1.14/1.39 (define @t561 () (not @t560)) % 1.14/1.39 (define @t562 () (@list @t468)) % 1.14/1.39 (define @t563 () (= @t214 @t132)) % 1.14/1.39 (define @t564 () (not @t563)) % 1.14/1.39 (define @t565 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t214)) % 1.14/1.39 (define @t566 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t466)) % 1.14/1.39 (define @t567 () (tptp.hAPP @t455 @t466)) % 1.14/1.39 (define @t568 () (tptp.hAPP @t567 @t468)) % 1.14/1.39 (define @t569 () (= @t466 @t132)) % 1.14/1.39 (define @t570 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t462)) % 1.14/1.39 (define @t571 () (and @t570 @t474)) % 1.14/1.39 (define @t572 () (tptp.hAPP @t455 @t462)) % 1.14/1.39 (define @t573 () (tptp.hAPP @t572 @t468)) % 1.14/1.39 (define @t574 () (tptp.hAPP @t572 @t466)) % 1.14/1.39 (define @t575 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t574 @t573)) % 1.14/1.39 (define @t576 () (tptp.hAPP @t455 @t468)) % 1.14/1.39 (define @t577 () (tptp.hAPP @t576 @t462)) % 1.14/1.39 (define @t578 () (tptp.hAPP @t567 @t462)) % 1.14/1.39 (define @t579 () (@list @t468 @t462 @t466)) % 1.14/1.39 (define @t580 () (=> @t570 @t470)) % 1.14/1.39 (define @t581 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t574 @t573)) % 1.14/1.39 (define @t582 () (= @t462 @t132)) % 1.14/1.39 (define @t583 () (or @t472 @t582)) % 1.14/1.39 (define @t584 () (= @t574 @t573)) % 1.14/1.39 (define @t585 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t111)) % 1.14/1.39 (define @t586 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t466 @t468)) % 1.14/1.39 (define @t587 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.14/1.39 (define @t588 () (tptp.hAPP @t456 @t214)) % 1.14/1.39 (define @t589 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t465)) % 1.14/1.39 (define @t590 () (@var "B_N" $$unsorted)) % 1.14/1.39 (define @t591 () (@list @t590)) % 1.14/1.39 (define @t592 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t24)) % 1.14/1.39 (define @t593 () (@var "B_b" $$unsorted)) % 1.14/1.39 (define @t594 () (@var "B_a" $$unsorted)) % 1.14/1.39 (define @t595 () (forall (@list @t594 @t593) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.hAPP (tptp.hAPP @t170 @t594) @t593)) (tptp.hAPP (tptp.hAPP @t121 (tptp.hAPP (tptp.hAPP @t121 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t594)) (tptp.c_RealVector_Onorm__class_Onorm @t16 @t593))) @t146)))) % 1.14/1.39 (define @t596 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.hAPP @t194 @t3)) @t453))) % 1.14/1.39 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t468 @t462)) % 1.14/1.39 (define @t598 () (tptp.hAPP @t455 @t214)) % 1.14/1.39 (define @t599 () (tptp.hAPP @t598 @t111)) % 1.14/1.39 (define @t600 () (tptp.hAPP @t456 @t111)) % 1.14/1.39 (define @t601 () (@list @t111 @t214 @t215)) % 1.14/1.39 (define @t602 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t214 @t111)) % 1.14/1.39 (define @t603 () (= @t468 @t587)) % 1.14/1.39 (define @t604 () (= @t466 @t587)) % 1.14/1.39 (define @t605 () (and @t604 @t603)) % 1.14/1.39 (define @t606 () (tptp.hAPP @t492 @t214)) % 1.14/1.39 (define @t607 () (tptp.hAPP @t492 @t215)) % 1.14/1.39 (define @t608 () (@list @t214 @t215 @t111)) % 1.14/1.39 (define @t609 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t49 @t58)) % 1.14/1.39 (define @t610 () (tptp.hAPP @t598 @t215)) % 1.14/1.39 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t609)) % 1.14/1.39 (define @t612 () (@list @t49 @t58 @t24)) % 1.14/1.39 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t49)) % 1.14/1.39 (define @t614 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t609)) % 1.14/1.39 (define @t615 () (tptp.hAPP @t148 @t11)) % 1.14/1.39 (define @t616 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t11 @t147)) % 1.14/1.39 (define @t617 () (@list @t11 @t147)) % 1.14/1.39 (define @t618 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t49)) % 1.14/1.39 (define @t619 () (tptp.class_Lattices_Oboolean__algebra @t16)) % 1.14/1.39 (define @t620 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t40)) % 1.14/1.39 (define @t621 () (tptp.c_Groups_Osgn__class_Osgn @t29 @t24)) % 1.14/1.39 (define @t622 () (tptp.c_Orderings_Oord__class_Oless @t29 @t30 @t24)) % 1.14/1.39 (define @t623 () (= @t24 @t30)) % 1.14/1.39 (define @t624 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t66)) % 1.14/1.39 (define @t625 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t24)) % 1.14/1.39 (define @t626 () (tptp.hAPP @t170 @t625)) % 1.14/1.39 (define @t627 () (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t17) @t17)) % 1.14/1.39 (define @t628 () (tptp.class_Groups_Osgn__if @t16)) % 1.14/1.39 (define @t629 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t36)) % 1.14/1.39 (define @t630 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t111)) % 1.14/1.39 (define @t631 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t16)) % 1.14/1.39 (define @t632 () (@var "V_A_2" $$unsorted)) % 1.14/1.39 (define @t633 () (tptp.hAPP @t632 @t18)) % 1.14/1.39 (define @t634 () (tptp.tc_fun @t54 @t16)) % 1.14/1.39 (define @t635 () (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t24)) % 1.14/1.39 (define @t636 () (not @t404)) % 1.14/1.39 (define @t637 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t625)) % 1.14/1.39 (define @t638 () (@var "V_K_2" $$unsorted)) % 1.14/1.39 (define @t639 () (@var "B_i" $$unsorted)) % 1.14/1.39 (define @t640 () (tptp.hBOOL (tptp.hAPP @t505 @t132))) % 1.14/1.39 (define @t641 () (not @t640)) % 1.14/1.39 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t146)) % 1.14/1.39 (define @t643 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t24)) % 1.14/1.39 (define @t644 () (=> @t401 (= @t643 @t122))) % 1.14/1.39 (define @t645 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t122)) % 1.14/1.39 (define @t646 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t66)) % 1.14/1.39 (define @t647 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t66)) % 1.14/1.39 (define @t648 () (= @t66 @t13)) % 1.14/1.39 (define @t649 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t220)) % 1.14/1.39 (define @t650 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t18 @t40)) % 1.14/1.39 (define @t651 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t67)) % 1.14/1.39 (define @t652 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t69 @t67)) % 1.14/1.39 (define @t653 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t69)) % 1.14/1.39 (define @t654 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t466 @t462)) % 1.14/1.39 (define @t655 () (@list @t462 @t466 @t16)) % 1.14/1.39 (define @t656 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t173 @t67)) % 1.14/1.39 (define @t657 () (tptp.class_Rings_Odvd @t16)) % 1.14/1.39 (define @t658 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t226)) % 1.14/1.39 (define @t659 () (or (= @t220 @t17) (tptp.c_Rings_Odvd__class_Odvd @t16 @t36 @t118))) % 1.14/1.39 (define @t660 () (tptp.hBOOL (tptp.hAPP @t505 @t3))) % 1.14/1.39 (define @t661 () (tptp.class_Rings_Osemiring__0 @t16)) % 1.14/1.39 (define @t662 () (tptp.c_Polynomial_Oorder @t16 @t66 @t141)) % 1.14/1.39 (define @t663 () (tptp.c_Power_Opower__class_Opower @t29)) % 1.14/1.39 (define @t664 () (tptp.hAPP @t663 (tptp.c_Polynomial_OpCons @t16 @t519 @t321))) % 1.14/1.39 (define @t665 () (tptp.c_Rings_Odvd__class_Odvd @t29 (tptp.hAPP @t664 @t662) @t141)) % 1.14/1.39 (define @t666 () (tptp.c_RComplete_Onatceiling @t24)) % 1.14/1.39 (define @t667 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t122)) % 1.14/1.39 (define @t668 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t24)) % 1.14/1.39 (define @t669 () (@list @t466)) % 1.14/1.39 (define @t670 () (tptp.c_Power_Opower__class_Opower @t16)) % 1.14/1.39 (define @t671 () (tptp.hAPP @t670 @t24)) % 1.14/1.39 (define @t672 () (tptp.hAPP @t671 @t141)) % 1.14/1.39 (define @t673 () (@list @t254 @t141 @t24 @t16)) % 1.14/1.39 (define @t674 () (tptp.hAPP @t670 @t49)) % 1.14/1.39 (define @t675 () (tptp.hAPP @t671 @t254)) % 1.14/1.39 (define @t676 () (tptp.hAPP @t170 @t675)) % 1.14/1.39 (define @t677 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.14/1.39 (define @t678 () (tptp.hAPP (tptp.hAPP @t677 @t25) @t214)) % 1.14/1.39 (define @t679 () (tptp.hAPP @t671 @t214)) % 1.14/1.39 (define @t680 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t679)) % 1.14/1.39 (define @t681 () (@list @t214 @t24 @t16)) % 1.14/1.39 (define @t682 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t214 @t215)) % 1.14/1.39 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t215)) % 1.14/1.39 (define @t684 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t466 @t468)) % 1.14/1.39 (define @t685 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t574 @t573)) % 1.14/1.39 (define @t686 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t13)) % 1.14/1.39 (define @t687 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t111 @t214)) % 1.14/1.39 (define @t688 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t215 @t214)) % 1.14/1.39 (define @t689 () (tptp.c_RComplete_Onatceiling @t18)) % 1.14/1.39 (define @t690 () (tptp.hAPP @t670 @t69)) % 1.14/1.39 (define @t691 () (tptp.hAPP @t690 @t214)) % 1.14/1.39 (define @t692 () (tptp.hAPP @t670 @t66)) % 1.14/1.39 (define @t693 () (tptp.hAPP @t692 @t214)) % 1.14/1.39 (define @t694 () (tptp.c_Orderings_Oord__class_Oless @t16 @t693 @t691)) % 1.14/1.39 (define @t695 () (@list @t214 @t69 @t66 @t16)) % 1.14/1.39 (define @t696 () (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t66)) % 1.14/1.39 (define @t697 () (@list @t214 @t66 @t16)) % 1.14/1.39 (define @t698 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t49)) % 1.14/1.39 (define @t699 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t49 @t24)) % 1.14/1.39 (define @t700 () (and @t698 (not @t699))) % 1.14/1.39 (define @t701 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t58)) % 1.14/1.39 (define @t702 () (and @t701 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t58 @t24)))) % 1.14/1.39 (define @t703 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t49 @t58)) % 1.14/1.39 (define @t704 () (=> (and @t703 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t58 @t49))) @t702)) % 1.14/1.39 (define @t705 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t66 @t69)) % 1.14/1.39 (define @t706 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t69 @t66)) % 1.14/1.39 (define @t707 () (and @t705 (not @t706))) % 1.14/1.39 (define @t708 () (@list @t69 @t66)) % 1.14/1.39 (define @t709 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t66 @t67)) % 1.14/1.39 (define @t710 () (and @t709 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t67 @t66)))) % 1.14/1.39 (define @t711 () (@list @t67 @t69 @t66)) % 1.14/1.39 (define @t712 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t69 @t67)) % 1.14/1.39 (define @t713 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t18 @t40)) % 1.14/1.39 (define @t714 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t40 @t18)) % 1.14/1.39 (define @t715 () (and @t713 (not @t714))) % 1.14/1.39 (define @t716 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.14/1.39 (define @t717 () (tptp.hAPP @t716 @t24)) % 1.14/1.39 (define @t718 () (tptp.hAPP @t717 @t49)) % 1.14/1.39 (define @t719 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.14/1.39 (define @t720 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.14/1.39 (define @t721 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t18)) % 1.14/1.39 (define @t722 () (@list @t468 @t18)) % 1.14/1.39 (define @t723 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t18)) % 1.14/1.39 (define @t724 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.14/1.39 (define @t725 () (tptp.hAPP @t724 @t18)) % 1.14/1.39 (define @t726 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 (tptp.hAPP @t725 @t468))) % 1.14/1.39 (define @t727 () (tptp.hAPP @t724 @t112)) % 1.14/1.39 (define @t728 () (tptp.hAPP @t727 @t214)) % 1.14/1.39 (define @t729 () (tptp.hAPP @t727 @t215)) % 1.14/1.39 (define @t730 () (@list @t214 @t215 @t112)) % 1.14/1.39 (define @t731 () (tptp.hAPP @t171 @t693)) % 1.14/1.39 (define @t732 () (tptp.hAPP @t170 @t693)) % 1.14/1.39 (define @t733 () (tptp.hAPP @t732 @t66)) % 1.14/1.39 (define @t734 () (@list @t214 @t16)) % 1.14/1.39 (define @t735 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t24 @t49)) % 1.14/1.39 (define @t736 () (tptp.hAPP @t692 @t215)) % 1.14/1.39 (define @t737 () (@list @t214 @t215 @t66 @t16)) % 1.14/1.39 (define @t738 () (tptp.hAPP (tptp.hAPP @t670 @t163) @t214)) % 1.14/1.39 (define @t739 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t693)) % 1.14/1.39 (define @t740 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t201 @t66)) % 1.14/1.39 (define @t741 () (tptp.hAPP @t670 @t36)) % 1.14/1.39 (define @t742 () (tptp.hAPP @t741 @t468)) % 1.14/1.39 (define @t743 () (tptp.class_Power_Opower @t16)) % 1.14/1.39 (define @t744 () (tptp.hAPP (tptp.hAPP @t670 @t519) @t214)) % 1.14/1.39 (define @t745 () (@list @t69 @t214 @t66 @t16)) % 1.14/1.39 (define @t746 () (tptp.hAPP @t670 @t17)) % 1.14/1.39 (define @t747 () (tptp.hAPP @t746 @t214)) % 1.14/1.39 (define @t748 () (and @t743 @t661)) % 1.14/1.39 (define @t749 () (tptp.class_Rings_Oring__1 @t16)) % 1.14/1.39 (define @t750 () (tptp.hAPP @t670 @t118)) % 1.14/1.39 (define @t751 () (tptp.hAPP @t750 @t40)) % 1.14/1.39 (define @t752 () (tptp.hAPP @t750 @t18)) % 1.14/1.39 (define @t753 () (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t118)) % 1.14/1.39 (define @t754 () (@list @t40 @t18 @t118 @t16)) % 1.14/1.39 (define @t755 () (@var "V_N" $$unsorted)) % 1.14/1.39 (define @t756 () (tptp.hAPP @t692 @t755)) % 1.14/1.39 (define @t757 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t755)) % 1.14/1.39 (define @t758 () (@list @t66 @t755 @t214 @t16)) % 1.14/1.39 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t214 @t755)) % 1.14/1.39 (define @t760 () (tptp.c_Orderings_Oord__class_Oless @t16 @t66 @t201)) % 1.14/1.39 (define @t761 () (not (tptp.c_Rings_Odvd__class_Odvd @t29 (tptp.hAPP @t664 (tptp.c_Nat_OSuc @t662)) @t141))) % 1.14/1.39 (define @t762 () (not @t550)) % 1.14/1.39 (define @t763 () (@list @t66 @t141 @t16)) % 1.14/1.39 (define @t764 () (tptp.c_Nat_OSuc @t214)) % 1.14/1.39 (define @t765 () (tptp.c_Nat_OSuc @t215)) % 1.14/1.39 (define @t766 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t765 @t764)) % 1.14/1.39 (define @t767 () (tptp.c_Nat_OSuc @t132)) % 1.14/1.39 (define @t768 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t214 @t215)) % 1.14/1.39 (define @t769 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t215 @t214)) % 1.14/1.39 (define @t770 () (@var "V_t_2" $$unsorted)) % 1.14/1.39 (define @t771 () (tptp.hAPP @t719 @t462)) % 1.14/1.39 (define @t772 () (tptp.hAPP @t771 @t466)) % 1.14/1.39 (define @t773 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.14/1.39 (define @t774 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t66 @t69)) % 1.14/1.39 (define @t775 () (tptp.hAPP @t719 @t111)) % 1.14/1.39 (define @t776 () (@list @t214 @t58)) % 1.14/1.39 (define @t777 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t112)) % 1.14/1.39 (define @t778 () (= @t112 @t720)) % 1.14/1.39 (define @t779 () (not @t778)) % 1.14/1.39 (define @t780 () (tptp.hAPP (tptp.hAPP @t719 @t466) @t468)) % 1.14/1.39 (define @t781 () (@list @t214 @t24)) % 1.14/1.39 (define @t782 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t112)) % 1.14/1.39 (define @t783 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t112)) % 1.14/1.39 (define @t784 () (@list @t112)) % 1.14/1.39 (define @t785 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t773 @t58)) % 1.14/1.39 (define @t786 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t447 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t773))) % 1.14/1.39 (define @t787 () (@list @t124 @t447)) % 1.14/1.39 (define @t788 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t447 @t124)) % 1.14/1.39 (define @t789 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t112 @t113)) % 1.14/1.39 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t106 @t58)) % 1.14/1.39 (define @t791 () (@var "V_z_H" $$unsorted)) % 1.14/1.39 (define @t792 () (@var "V_w_H" $$unsorted)) % 1.14/1.39 (define @t793 () (tptp.hAPP @t455 (tptp.c_Nat_OSuc @t462))) % 1.14/1.39 (define @t794 () (tptp.hAPP @t793 @t468)) % 1.14/1.39 (define @t795 () (tptp.hAPP @t793 @t466)) % 1.14/1.39 (define @t796 () (tptp.hAPP @t719 @t183)) % 1.14/1.39 (define @t797 () (tptp.hAPP @t796 @t106)) % 1.14/1.39 (define @t798 () (tptp.hAPP @t719 @t185)) % 1.14/1.39 (define @t799 () (tptp.hAPP @t798 @t106)) % 1.14/1.39 (define @t800 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t185 @t183)) % 1.14/1.39 (define @t801 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t764)) % 1.14/1.39 (define @t802 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t765 @t214)) % 1.14/1.39 (define @t803 () (tptp.c_Nat_OSuc @t459)) % 1.14/1.39 (define @t804 () (tptp.hAPP @t719 @t106)) % 1.14/1.39 (define @t805 () (tptp.hAPP @t804 @t183)) % 1.14/1.39 (define @t806 () (tptp.hAPP @t804 @t185)) % 1.14/1.39 (define @t807 () (@list @t183 @t185 @t106)) % 1.14/1.39 (define @t808 () (tptp.hAPP @t719 @t58)) % 1.14/1.39 (define @t809 () (tptp.hAPP @t808 @t106)) % 1.14/1.39 (define @t810 () (@var "V_nat_H" $$unsorted)) % 1.14/1.39 (define @t811 () (@var "V_nat_H_1" $$unsorted)) % 1.14/1.39 (define @t812 () (tptp.c_Nat_OSuc @t466)) % 1.14/1.39 (define @t813 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t468 @t812)) % 1.14/1.39 (define @t814 () (tptp.c_Nat_OSuc @t468)) % 1.14/1.39 (define @t815 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t466 @t814)) % 1.14/1.39 (define @t816 () (= @t468 @t466)) % 1.14/1.39 (define @t817 () (= @t813 @t816)) % 1.14/1.39 (define @t818 () (@list @t466 @t468)) % 1.14/1.39 (define @t819 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t215 @t764)) % 1.14/1.39 (define @t820 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t765 @t214)) % 1.14/1.39 (define @t821 () (tptp.c_Nat_OSuc @t112)) % 1.14/1.39 (define @t822 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t113 @t111)) % 1.14/1.39 (define @t823 () (not @t480)) % 1.14/1.39 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t814 @t466)) % 1.14/1.39 (define @t825 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t468 @t466)) % 1.14/1.39 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 @t764)) % 1.14/1.39 (define @t827 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t765 @t214)) % 1.14/1.39 (define @t828 () (@var "V_nat_H_2" $$unsorted)) % 1.14/1.39 (define @t829 () (@var "V_nat_2" $$unsorted)) % 1.14/1.39 (define @t830 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t58)) % 1.14/1.39 (define @t831 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t112 @t720)) % 1.14/1.39 (define @t832 () (tptp.hAPP @t194 @t675)) % 1.14/1.39 (define @t833 () (tptp.hAPP @t671 (tptp.c_Nat_OSuc @t254))) % 1.14/1.39 (define @t834 () (@list @t254 @t24 @t16)) % 1.14/1.39 (define @t835 () (tptp.hAPP @t692 @t764)) % 1.14/1.39 (define @t836 () (@var "B_j" $$unsorted)) % 1.14/1.39 (define @t837 () (= @t466 @t767)) % 1.14/1.39 (define @t838 () (= @t468 @t767)) % 1.14/1.39 (define @t839 () (or (and @t837 @t560) (and @t569 @t838))) % 1.14/1.39 (define @t840 () (@list @t214 @t112)) % 1.14/1.39 (define @t841 () (@list @t215 @t112)) % 1.14/1.39 (define @t842 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t214 @t587)) % 1.14/1.39 (define @t843 () (tptp.hAPP @t690 @t764)) % 1.14/1.39 (define @t844 () (tptp.c_Nat_OSuc @t767)) % 1.14/1.39 (define @t845 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t767 @t215)) % 1.14/1.39 (define @t846 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t767 @t214)) % 1.14/1.39 (define @t847 () (@list @t69 @t214 @t66)) % 1.14/1.39 (define @t848 () (@list @t118 @t36 @t468)) % 1.14/1.39 (define @t849 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t159)) % 1.14/1.39 (define @t850 () (= @t66 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t159 (tptp.hAPP (tptp.hAPP @t719 @t66) @t254)))) % 1.14/1.39 (define @t851 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t66)) % 1.14/1.39 (define @t852 () (@list @t254 @t159 @t66)) % 1.14/1.39 (define @t853 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t106)) % 1.14/1.39 (define @t854 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t106)) % 1.14/1.39 (define @t855 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 @t58)) % 1.14/1.39 (define @t856 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t58 @t106)) % 1.14/1.39 (define @t857 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t112 @t113)) % 1.14/1.39 (define @t858 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t444 @t770)) % 1.14/1.39 (define @t859 () (@list @t770 @t444)) % 1.14/1.39 (define @t860 () (@var "V_q_H" $$unsorted)) % 1.14/1.39 (define @t861 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t860 @t254)) % 1.14/1.39 (define @t862 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t169 @t69)) % 1.14/1.39 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t169)) % 1.14/1.39 (define @t864 () (@var "V_r_H" $$unsorted)) % 1.14/1.39 (define @t865 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t864)) % 1.14/1.39 (define @t866 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t159 @t69)) % 1.14/1.39 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t719 @t169) @t860) @t864)) % 1.14/1.39 (define @t868 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t867 @t720)) % 1.14/1.39 (define @t869 () (tptp.hAPP @t719 @t69)) % 1.14/1.39 (define @t870 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t869 @t254) @t159)) % 1.14/1.39 (define @t871 () (= @t870 @t867)) % 1.14/1.39 (define @t872 () (@list @t864 @t860 @t169 @t159 @t254 @t69)) % 1.14/1.39 (define @t873 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t254 @t860)) % 1.14/1.39 (define @t874 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t869 @t860) @t864) @t870)) % 1.14/1.39 (define @t875 () (@list @t159 @t254 @t864 @t860 @t69)) % 1.14/1.39 (define @t876 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t864 @t169)) % 1.14/1.39 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t867)) % 1.14/1.39 (define @t878 () (@list @t864 @t860 @t169)) % 1.14/1.39 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t24)) % 1.14/1.39 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t49)) % 1.14/1.39 (define @t881 () (tptp.c_RComplete_Onatfloor @t24)) % 1.14/1.39 (define @t882 () (@var "V_one_2" $$unsorted)) % 1.14/1.39 (define @t883 () (@var "V_times_2" $$unsorted)) % 1.14/1.39 (define @t884 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t16 @t882 @t883) @t36)) % 1.14/1.39 (define @t885 () (tptp.c_RComplete_Onatfloor @t18)) % 1.14/1.39 (define @t886 () (tptp.c_RComplete_Onatfloor @t66)) % 1.14/1.39 (define @t887 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t214)) % 1.14/1.39 (define @t888 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t887 @t122)) % 1.14/1.39 (define @t889 () (@list @t24 @t214)) % 1.14/1.39 (define @t890 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t466)) % 1.14/1.39 (define @t891 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t468)) % 1.14/1.39 (define @t892 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t215)) % 1.14/1.39 (define @t893 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t724 @t215) @t214))) % 1.14/1.39 (define @t894 () (tptp.hAPP (tptp.hAPP @t677 @t892) @t214)) % 1.14/1.39 (define @t895 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t24)) % 1.14/1.39 (define @t896 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t764)) % 1.14/1.39 (define @t897 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t881)) % 1.14/1.39 (define @t898 () (@list @t66 @t24)) % 1.14/1.39 (define @t899 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t66)) % 1.14/1.39 (define @t900 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t36)) % 1.14/1.39 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t18)) % 1.14/1.39 (define @t902 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t590))) % 1.14/1.39 (define @t903 () (tptp.c_RealVector_Onorm__class_Onorm @t54 @t149)) % 1.14/1.39 (define @t904 () (exists @t153 (and @t152 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t903 @t146))))) % 1.14/1.39 (define @t905 () (tptp.class_RealVector_Oreal__normed__vector @t54)) % 1.14/1.39 (define @t906 () (@list @t148 @t54)) % 1.14/1.39 (define @t907 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t899)) % 1.14/1.39 (define @t908 () (@var "B_y" $$unsorted)) % 1.14/1.39 (define @t909 () (@list @t66 @t214)) % 1.14/1.39 (define @t910 () (@var "B_r" $$unsorted)) % 1.14/1.39 (define @t911 () (tptp.hAPP (tptp.hAPP @t719 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t24 @t58)) @t773)) @t210)) % 1.14/1.39 (define @t912 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t210)) % 1.14/1.39 (define @t913 () (@var "V_e_2" $$unsorted)) % 1.14/1.39 (define @t914 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t36 @t118)) % 1.14/1.39 (define @t915 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t170 @t914) @t913) @t220)) % 1.14/1.39 (define @t916 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t372 @t913) @t444)) % 1.14/1.39 (define @t917 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t290 @t913) @t220)) % 1.14/1.39 (define @t918 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t917 @t916)) % 1.14/1.39 (define @t919 () (@list @t444 @t118 @t220 @t913 @t36 @t16)) % 1.14/1.39 (define @t920 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t170 (tptp.c_Groups_Ominus__class_Ominus @t16 @t118 @t36)) @t913) @t444)) % 1.14/1.39 (define @t921 () (tptp.c_Orderings_Oord__class_Oless @t16 @t917 @t916)) % 1.14/1.39 (define @t922 () (@var "V_D_2" $$unsorted)) % 1.14/1.39 (define @t923 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t210)) % 1.14/1.39 (define @t924 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t66 @t67)) % 1.14/1.39 (define @t925 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t165 @t439)) % 1.14/1.39 (define @t926 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t66 @t69)) % 1.14/1.39 (define @t927 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t926)) % 1.14/1.39 (define @t928 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t926)) % 1.14/1.39 (define @t929 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t69)) % 1.14/1.39 (define @t930 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t323 @t929)) % 1.14/1.39 (define @t931 () (tptp.hAPP @t170 (tptp.c_Groups_Ominus__class_Ominus @t16 @t24 @t66))) % 1.14/1.39 (define @t932 () (tptp.hAPP @t931 @t69)) % 1.14/1.39 (define @t933 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t49 @t69)) % 1.14/1.39 (define @t934 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t250 @t173)) % 1.14/1.39 (define @t935 () (@list @t69 @t66 @t49 @t24 @t16)) % 1.14/1.39 (define @t936 () (= @t917 @t916)) % 1.14/1.39 (define @t937 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t24 @t49)) % 1.14/1.39 (define @t938 () (= @t926 (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t529))) % 1.14/1.39 (define @t939 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t163 @t162)) % 1.14/1.39 (define @t940 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t66)) % 1.14/1.39 (define @t941 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t940)) % 1.14/1.39 (define @t942 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t58 @t106)) % 1.14/1.39 (define @t943 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t853)) % 1.14/1.39 (define @t944 () (= @t914 (tptp.c_Groups_Ominus__class_Ominus @t16 @t220 @t444))) % 1.14/1.39 (define @t945 () (@var "V_B_2" $$unsorted)) % 1.14/1.39 (define @t946 () (tptp.c_Groups_Ominus__class_Ominus @t29 @t141 @t254)) % 1.14/1.39 (define @t947 () (tptp.hAPP @t170 @t937)) % 1.14/1.39 (define @t948 () (= @t914 @t17)) % 1.14/1.39 (define @t949 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t185 @t183)) % 1.14/1.39 (define @t950 () (@var "V_M_2" $$unsorted)) % 1.14/1.39 (define @t951 () (tptp.hAPP @t148 @t950)) % 1.14/1.39 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t950 @t147)) % 1.14/1.39 (define @t953 () (tptp.c_Nat__Transfer_Otsub @t24 @t49)) % 1.14/1.39 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t49 @t24)) % 1.14/1.39 (define @t955 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t468 @t462)) % 1.14/1.39 (define @t956 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t466 @t462)) % 1.14/1.39 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t462 @t468)) % 1.14/1.39 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t462 @t466)) % 1.14/1.39 (define @t959 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t214)) % 1.14/1.39 (define @t960 () (@list @t497 @t214 @t215)) % 1.14/1.39 (define @t961 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t497 @t215)) % 1.14/1.39 (define @t962 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t497 @t214)) % 1.14/1.39 (define @t963 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t111 @t215)) % 1.14/1.39 (define @t964 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t111 @t959)) % 1.14/1.39 (define @t965 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t111 @t215)) % 1.14/1.39 (define @t966 () (= @t959 @t132)) % 1.14/1.39 (define @t967 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t765 @t214)) % 1.14/1.39 (define @t968 () (@var "V_j_2" $$unsorted)) % 1.14/1.39 (define @t969 () (@var "V_i_2" $$unsorted)) % 1.14/1.39 (define @t970 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t969 @t462)) % 1.14/1.39 (define @t971 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t968 @t462)) % 1.14/1.39 (define @t972 () (@list @t462 @t968 @t969)) % 1.14/1.39 (define @t973 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t214 @t959) @t215)) % 1.14/1.39 (define @t974 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t111)) % 1.14/1.39 (define @t975 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t974 @t112)) % 1.14/1.39 (define @t976 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t516 @t111)) % 1.14/1.39 (define @t977 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t113)) % 1.14/1.39 (define @t978 () (@list @t112 @t113 @t111)) % 1.14/1.39 (define @t979 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t112 @t974)) % 1.14/1.39 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t509 @t111)) % 1.14/1.39 (define @t981 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t968 @t969)) % 1.14/1.39 (define @t982 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t969 @t968)) % 1.14/1.39 (define @t983 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t899)) % 1.14/1.39 (define @t984 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t899 @t24)) % 1.14/1.39 (define @t985 () (@list @t24 @t66)) % 1.14/1.39 (define @t986 () (@var "B_d" $$unsorted)) % 1.14/1.39 (define @t987 () (tptp.hBOOL (tptp.hAPP @t505 @t986))) % 1.14/1.39 (define @t988 () (= @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t986))) % 1.14/1.39 (define @t989 () (@list @t986)) % 1.14/1.39 (define @t990 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t118)) % 1.14/1.39 (define @t991 () (tptp.hBOOL (tptp.hAPP @t505 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t36 @t118)))) % 1.14/1.39 (define @t992 () (@list @t118 @t36 @t505)) % 1.14/1.39 (define @t993 () (tptp.c_Nat_OSuc @t113)) % 1.14/1.39 (define @t994 () (tptp.c_Nat_OSuc @t974)) % 1.14/1.39 (define @t995 () (@list @t215 @t113 @t111)) % 1.14/1.39 (define @t996 () (@var "V_u_2" $$unsorted)) % 1.14/1.39 (define @t997 () (@var "T_1" $$unsorted)) % 1.14/1.39 (define @t998 () (tptp.tc_Polynomial_Opoly @t997)) % 1.14/1.39 (define @t999 () (tptp.class_Groups_Ocancel__comm__monoid__add @t997)) % 1.14/1.39 (define @t1000 () (@list @t997)) % 1.14/1.39 (define @t1001 () (@var "T_2" $$unsorted)) % 1.14/1.39 (define @t1002 () (tptp.tc_fun @t1001 @t997)) % 1.14/1.39 (define @t1003 () (@list @t1001 @t997)) % 1.14/1.39 (define @t1004 () (tptp.class_Rings_Oidom @t997)) % 1.14/1.39 (define @t1005 () (tptp.class_Rings_Olinordered__idom @t997)) % 1.14/1.39 (define @t1006 () (tptp.class_Rings_Ocomm__semiring__0 @t997)) % 1.14/1.39 (define @t1007 () (tptp.class_Rings_Ocomm__semiring__1 @t997)) % 1.14/1.39 (define @t1008 () (tptp.class_Groups_Ocomm__monoid__add @t997)) % 1.14/1.39 (define @t1009 () (tptp.class_Groups_Oab__group__add @t997)) % 1.14/1.39 (define @t1010 () (tptp.class_Rings_Ocomm__ring__1 @t997)) % 1.14/1.39 (define @t1011 () (tptp.class_Rings_Ocomm__ring @t997)) % 1.14/1.39 (define @t1012 () (tptp.hBOOL (tptp.c_fequal @t18 @t40))) % 1.14/1.39 (define @t1013 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t125 @t7))) % 1.14/1.39 (define @t1014 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1013 @t11)) % 1.14/1.39 (define @t1015 () (forall @t10 (=> @t9 @t1014))) % 1.14/1.39 (define @t1016 () (and @t14 @t1015)) % 1.14/1.39 (define @t1017 () (exists @t15 @t1016)) % 1.14/1.39 (define @t1018 () (not @t1017)) % 1.14/1.39 (define @t1019 () (forall @t128 (or (not @t127) @t126))) % 1.14/1.39 (define @t1020 () (not @t9)) % 1.14/1.39 (define @t1021 () (forall @t10 (or @t1020 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1013 @t123)))) % 1.14/1.39 (define @t1022 () (forall @t10 (or @t1020 @t1014))) % 1.14/1.39 (define @t1023 () (and @t14 @t1022)) % 1.14/1.39 (define @t1024 () (forall @t15 (not @t1023))) % 1.14/1.39 (define @t1025 () (not @t1024)) % 1.14/1.39 (define @t1026 () (not @t1021)) % 1.14/1.39 (define @t1027 () (not @t140)) % 1.14/1.39 (define @t1028 () (or @t1027 @t1026)) % 1.14/1.39 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.14/1.39 (assume @p2 (forall @t10 (=> @t9 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 tptp.v_m____)))) % 1.14/1.39 (assume @p3 (exists @t15 (and @t14 @t12))) % 1.14/1.39 (assume @p4 (forall @t23 (=> @t22 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t21) @t20)))) % 1.14/1.39 (assume @p5 (forall @t23 (=> @t22 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t13) @t19)))) % 1.14/1.39 (assume @p6 (forall @t26 (=> @t22 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t25 @t13))))) % 1.14/1.39 (assume @p7 (forall @t26 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t25)))) % 1.14/1.39 (assume @p8 (forall @t27 (=> @t22 (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t17) @t13)))) % 1.14/1.39 (assume @p9 (forall @t23 (=> @t22 (= (= @t21 @t13) @t19)))) % 1.14/1.39 (assume @p10 (not (forall @t15 (not @t12)))) % 1.14/1.39 (assume @p11 (forall @t26 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t24)))) % 1.14/1.39 (assume @p12 (forall @t26 (=> @t32 (= (tptp.hAPP @t31 @t24) @t17)))) % 1.14/1.39 (assume @p13 (forall @t27 (=> @t33 (= (tptp.c_Polynomial_OpCons @t16 @t17 @t30) @t30)))) % 1.14/1.39 (assume @p14 (forall @t39 (=> @t33 (= (= @t38 @t30) (and @t37 @t35))))) % 1.14/1.39 (assume @p15 (forall @t45 (= @t44 (and @t43 @t42)))) % 1.14/1.39 (assume @p16 (forall (@list @t34 @t16) (=> @t48 (= (= @t46 @t31) @t35)))) % 1.14/1.39 (assume @p17 (forall @t53 (=> @t52 (=> (not @t51) @t50)))) % 1.14/1.39 (assume @p18 (forall (@list @t18 @t1 @t2 @t16 @t54) (=> @t57 (=> @t56 (tptp.c_Orderings_Oord__class_Oless__eq @t54 (tptp.hAPP @t2 @t18) (tptp.hAPP @t1 @t18)))))) % 1.14/1.39 (assume @p19 (forall @t61 (=> @t60 (=> @t50 (=> @t59 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t58 @t24)))))) % 1.14/1.39 (assume @p20 (forall @t63 (=> @t60 (=> @t50 (=> @t51 @t62))))) % 1.14/1.39 (assume @p21 (forall @t65 (=> @t28 (=> @t51 (=> @t64 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t58)))))) % 1.14/1.39 (assume @p22 (forall @t53 (=> @t60 (=> @t51 (=> @t50 @t62))))) % 1.14/1.39 (assume @p23 (forall @t72 (=> @t60 (=> @t71 (=> @t70 @t68))))) % 1.14/1.39 (assume @p24 (forall @t76 (=> @t75 (=> @t74 (=> @t70 @t73))))) % 1.14/1.39 (assume @p25 (forall @t76 (=> @t60 (=> @t77 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t67 @t69) @t68))))) % 1.14/1.39 (assume @p26 (forall @t76 (=> @t75 (=> @t77 (=> @t78 @t73))))) % 1.14/1.39 (assume @p27 (forall @t82 (=> @t60 (=> @t81 @t80)))) % 1.14/1.39 (assume @p28 (forall @t53 (=> @t28 (=> @t62 @t51)))) % 1.14/1.39 (assume @p29 (forall @t83 (=> @t60 (= @t41 (and @t79 @t81))))) % 1.14/1.39 (assume @p30 (forall @t53 (=> @t52 (or @t51 @t50)))) % 1.14/1.39 (assume @p31 (forall @t84 (=> @t57 (= @t56 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t5 @t4)))))) % 1.14/1.39 (assume @p32 (forall @t53 (=> @t52 (=> @t88 (=> @t86 @t85))))) % 1.14/1.39 (assume @p33 (forall @t53 (=> @t28 (=> @t87 (not @t85))))) % 1.14/1.39 (assume @p34 (forall @t61 (=> @t60 (=> @t85 @t90)))) % 1.14/1.39 (assume @p35 (forall @t65 (=> @t28 (=> @t87 @t92)))) % 1.14/1.39 (assume @p36 (forall @t72 (=> @t60 (=> @t94 (=> @t70 @t93))))) % 1.14/1.39 (assume @p37 (forall @t76 (=> @t75 (=> @t96 (=> @t70 @t95))))) % 1.14/1.39 (assume @p38 (forall @t76 (=> @t60 (=> @t77 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t67 @t69) @t93))))) % 1.14/1.39 (assume @p39 (forall @t76 (=> @t75 (=> @t77 (=> @t97 @t95))))) % 1.14/1.39 (assume @p40 (forall @t98 (=> @t60 (=> @t94 (not @t96))))) % 1.14/1.39 (assume @p41 (forall @t99 (=> @t28 (=> @t96 (not @t94))))) % 1.14/1.39 (assume @p42 (forall @t53 (=> @t60 (=> @t87 @t100)))) % 1.14/1.39 (assume @p43 (forall @t53 (=> @t60 (=> @t87 @t86)))) % 1.14/1.39 (assume @p44 (forall @t53 (=> @t52 @t101))) % 1.14/1.39 (assume @p45 (forall @t82 (=> @t52 (=> (not @t105) @t104)))) % 1.14/1.39 (assume @p46 (forall @t53 (=> @t52 (or @t87 @t62 @t85)))) % 1.14/1.39 (assume @p47 (forall @t83 (=> @t52 (= @t103 (or @t105 @t41))))) % 1.14/1.39 (assume @p48 (forall @t83 (=> @t52 (= @t42 (or @t102 @t105))))) % 1.14/1.39 (assume @p49 (forall @t26 (=> @t28 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t24))))) % 1.14/1.39 (assume @p50 (forall @t110 (=> @t109 (=> @t108 @t107)))) % 1.14/1.39 (assume @p51 (forall @t114 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t112 @t113) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t113 @t111) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t112 @t111))))) % 1.14/1.39 (assume @p52 (forall @t110 (or @t109 @t108))) % 1.14/1.39 (assume @p53 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t106 @t106))) % 1.14/1.39 (assume @p54 (forall (@list @t116 @t118 @t34 @t36 @t16) (=> @t33 (= (= @t38 (tptp.c_Polynomial_OpCons @t16 @t118 @t116)) (and @t119 @t117))))) % 1.14/1.39 (assume @p55 (forall (@list @t116 @t34 @t16) (=> @t48 (= (= @t46 (tptp.c_Polynomial_Opoly @t16 @t116)) @t117)))) % 1.14/1.39 (assume @p56 (forall @t61 (=> @t60 (=> @t50 @t90)))) % 1.14/1.39 (assume @p57 (forall @t65 (=> @t28 (=> @t51 @t92)))) % 1.14/1.39 (assume @p58 (forall @t61 (=> @t60 (=> @t85 (=> @t59 @t89))))) % 1.14/1.39 (assume @p59 (forall @t65 (=> @t28 (=> @t87 (=> @t64 @t91))))) % 1.14/1.39 (assume @p60 (forall @t98 (=> @t60 (=> @t71 (=> @t120 @t94))))) % 1.14/1.39 (assume @p61 (forall @t99 (=> @t60 (=> @t74 (=> @t120 @t96))))) % 1.14/1.39 (assume @p62 (forall @t53 (=> @t60 (=> @t51 (or @t87 @t62))))) % 1.14/1.39 (assume @p63 (forall @t83 (=> @t52 (=> @t79 @t104)))) % 1.14/1.39 (assume @p64 (forall @t53 (=> @t28 (=> @t87 @t51)))) % 1.14/1.39 (assume @p65 (forall @t63 (=> @t52 (=> @t50 @t88)))) % 1.14/1.39 (assume @p66 (forall @t99 (=> @t60 (=> @t120 (=> @t71 @t94))))) % 1.14/1.39 (assume @p67 (forall @t99 (=> @t60 (=> @t120 (=> @t74 @t96))))) % 1.14/1.39 (assume @p68 (forall @t83 (=> @t52 (=> @t103 @t80)))) % 1.14/1.39 (assume @p69 (forall @t63 (=> @t52 (=> (not @t50) @t87)))) % 1.14/1.39 (assume @p70 (forall @t53 (=> @t52 (=> @t88 @t50)))) % 1.14/1.39 (assume @p71 (forall @t83 (=> @t60 (= @t79 (or @t102 @t41))))) % 1.14/1.39 (assume @p72 (forall @t83 (=> @t28 (= @t102 (and @t79 (not @t81)))))) % 1.14/1.39 (assume @p73 (forall @t83 (=> @t60 (= @t102 (and @t79 @t42))))) % 1.14/1.39 (assume @p74 (forall @t53 (=> @t52 (or @t51 @t85)))) % 1.14/1.39 (assume @p75 (forall @t83 (=> @t52 (= (not @t79) @t105)))) % 1.14/1.39 (assume @p76 (forall @t83 (=> @t52 (= @t103 @t81)))) % 1.14/1.39 (assume @p77 (forall @t45 (= @t43 (or @t44 @t41)))) % 1.14/1.39 (assume @p78 @t129) % 1.14/1.39 (assume @p79 (forall @t39 (=> @t131 (= (tptp.c_Polynomial_Opos__poly @t16 @t38) (or (tptp.c_Polynomial_Opos__poly @t16 @t34) (and @t35 @t130)))))) % 1.14/1.39 (assume @p80 (forall (@list @t36 @t34 @t16) (=> @t47 (= (= (tptp.hAPP @t46 @t36) @t17) (or @t35 (not (= (tptp.c_Polynomial_Oorder @t16 @t36 @t34) @t132))))))) % 1.14/1.39 (assume @p81 (forall (@list @t34 @t36 @t16 @t124 @t2 @t54) (=> @t139 (=> @t138 (= @t135 (tptp.hAPP @t134 @t133)))))) % 1.14/1.39 (assume @p82 (forall (@list @t34 @t36 @t2 @t124 @t16 @t54) (=> @t139 (= @t135 (tptp.hAPP @t134 (tptp.c_If @t16 (tptp.c_fequal @t34 @t137) @t124 @t133)))))) % 1.14/1.39 (assume @p83 @t140) % 1.14/1.39 (assume @p84 (forall (@list @t67 @t141 @t66 @t16) (=> @t32 (= (tptp.c_Polynomial_Osynthetic__div @t16 @t145 @t67) (tptp.c_Polynomial_OpCons @t16 @t144 @t142))))) % 1.14/1.39 (assume @p85 (forall (@list @t16 @t124 @t2 @t54) (=> @t139 (=> @t138 (= (tptp.c_Polynomial_Opoly__rec @t16 @t54 @t124 @t2 @t137) @t124))))) % 1.14/1.39 (assume @p86 (forall @t156 (=> @t22 (= @t155 @t154)))) % 1.14/1.39 (assume @p87 (forall @t53 (=> @t131 @t101))) % 1.14/1.39 (assume @p88 (forall @t23 (=> @t33 (= (= @t17 @t18) @t19)))) % 1.14/1.39 (assume @p89 (forall @t158 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t157 @t122) @t24)))) % 1.14/1.39 (assume @p90 (forall @t161 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t159) @t160))) % 1.14/1.39 (assume @p91 (forall @t99 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t165) @t164)))) % 1.14/1.39 (assume @p92 (forall @t167 (= (tptp.hAPP (tptp.hAPP @t121 @t122) @t58) @t58))) % 1.14/1.39 (assume @p93 (forall @t110 (= (tptp.hAPP @t168 @t106) (tptp.hAPP (tptp.hAPP @t121 @t106) @t58)))) % 1.14/1.39 (assume @p94 (forall @t84 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless @t55 @t2 @t1) (and @t56 (not (tptp.c_Orderings_Oord__class_Oless__eq @t55 @t1 @t2))))))) % 1.14/1.39 (assume @p95 (forall @t175 (=> @t174 (= (tptp.hAPP @t171 (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t169)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t173 @t172))))) % 1.14/1.39 (assume @p96 (forall @t181 (=> @t174 (= (tptp.hAPP @t177 @t180) (tptp.c_Groups_Oplus__class_Oplus @t16 @t179 @t178))))) % 1.14/1.39 (assume @p97 (forall @t187 (= (tptp.hAPP (tptp.hAPP @t121 (tptp.hAPP @t186 @t183)) @t182) (tptp.hAPP @t186 (tptp.hAPP @t184 @t182))))) % 1.14/1.39 (assume @p98 (forall @t190 (=> @t174 (= (tptp.hAPP (tptp.hAPP @t170 (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t188)) @t69) (tptp.c_Groups_Oplus__class_Oplus @t16 @t173 @t189))))) % 1.14/1.39 (assume @p99 (forall @t196 (=> @t174 (= (tptp.hAPP (tptp.hAPP @t170 @t180) @t191) (tptp.c_Groups_Oplus__class_Oplus @t16 @t195 @t193))))) % 1.14/1.39 (assume @p100 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t121 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t185 @t183)) @t106) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t186 @t106) (tptp.hAPP @t184 @t106))))) % 1.14/1.39 (assume @p101 (forall @t205 (=> (tptp.class_Rings_Olinordered__semiring__1 @t16) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t66) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t49 @t66) (=> @t204 (=> @t203 (=> @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t200 @t66))))))))) % 1.14/1.39 (assume @p102 (forall @t72 (=> @t207 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t66) @t206) @t70)))) % 1.14/1.39 (assume @p103 (forall @t76 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t16) @t209))) % 1.14/1.39 (assume @p104 (forall @t76 (=> @t207 @t209))) % 1.14/1.39 (assume @p105 (forall (@list @t210 @t69 @t67 @t66 @t16) (=> @t131 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t163 @t67) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t162 @t210) (tptp.c_Orderings_Oord__class_Oless @t16 @t213 (tptp.hAPP @t211 @t210))))))) % 1.14/1.39 (assume @p106 (forall (@list @t214 @t215 @t16) (=> @t216 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t215) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t214) (tptp.c_Orderings_Oord__class_Oless @t16 @t201 (tptp.hAPP (tptp.hAPP @t170 @t215) @t214))))))) % 1.14/1.39 (assume @p107 (forall (@list @t67 @t69 @t217 @t66 @t16) (=> (tptp.class_Rings_Osemiring @t16) (= (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t171 @t217) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t219 @t217) @t67)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t218 @t217) @t67))))) % 1.14/1.39 (assume @p108 (forall (@list @t220 @t36 @t118 @t16) (=> @t207 (= (= @t223 @t222) @t221)))) % 1.14/1.39 (assume @p109 (forall (@list @t220 @t118 @t36 @t16) (=> @t207 (= (= @t225 @t224) @t221)))) % 1.14/1.39 (assume @p110 (forall @t76 (=> (tptp.class_Rings_Ocomm__semiring @t16) @t228))) % 1.14/1.39 (assume @p111 (forall @t76 (=> (tptp.class_Groups_Oab__semigroup__mult @t16) (= (tptp.hAPP (tptp.hAPP @t170 @t173) @t67) (tptp.hAPP @t171 @t226))))) % 1.14/1.39 (assume @p112 (forall @t76 (=> (tptp.class_Groups_Oab__semigroup__add @t16) @t231))) % 1.14/1.39 (assume @p113 (forall @t233 (=> @t131 (= (tptp.hAPP @t212 @t163) @t232)))) % 1.14/1.39 (assume @p114 (forall @t233 (=> @t235 @t234))) % 1.14/1.39 (assume @p115 (forall @t233 (=> @t236 @t234))) % 1.14/1.39 (assume @p116 (forall @t23 (=> (tptp.class_Groups_Oone @t16) (= (= @t201 @t18) @t237)))) % 1.14/1.39 (assume @p117 (forall @t233 (=> @t235 @t238))) % 1.14/1.39 (assume @p118 (forall @t233 (=> @t236 @t238))) % 1.14/1.39 (assume @p119 (forall @t99 (=> @t166 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t164) @t164)))) % 1.14/1.39 (assume @p120 (forall @t99 (=> @t131 @t239))) % 1.14/1.39 (assume @p121 (forall @t233 (=> @t166 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t163) @t163)))) % 1.14/1.39 (assume @p122 (forall @t27 (=> @t131 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t201) @t201)))) % 1.14/1.39 (assume @p123 (forall @t233 (=> @t216 (tptp.c_Orderings_Oord__class_Oless @t16 @t66 @t240)))) % 1.14/1.39 (assume @p124 (forall @t27 (=> @t166 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t17) @t17)))) % 1.14/1.39 (assume @p125 (forall @t242 (=> @t166 (= (= @t241 @t17) @t37)))) % 1.14/1.39 (assume @p126 (forall @t45 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t246 (tptp.hAPP @t244 @t40)) @t13) (and @t243 (= @t40 @t13))))) % 1.14/1.39 (assume @p127 (forall @t233 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t66 @t163)))) % 1.14/1.39 (assume @p128 (forall @t99 (=> @t166 (=> @t247 @t74)))) % 1.14/1.39 (assume @p129 (forall @t53 (=> @t252 (= @t251 @t249)))) % 1.14/1.39 (assume @p130 (forall @t27 (=> @t253 (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t201) @t122)))) % 1.14/1.39 (assume @p131 (forall @t258 (=> @t257 (= (tptp.c_Groups_Oplus__class_Oplus @t29 @t145 @t256) (tptp.c_Polynomial_OpCons @t16 @t165 @t255))))) % 1.14/1.39 (assume @p132 (forall @t233 (=> @t260 @t259))) % 1.14/1.39 (assume @p133 (forall @t233 (=> @t257 @t259))) % 1.14/1.39 (assume @p134 (forall @t242 (=> @t262 (= (= @t17 @t261) @t37)))) % 1.14/1.39 (assume @p135 (forall @t233 (=> @t260 @t263))) % 1.14/1.39 (assume @p136 (forall @t233 (=> @t257 @t263))) % 1.14/1.39 (assume @p137 (forall @t267 (=> @t266 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t224 @t265) @t264)))) % 1.14/1.39 (assume @p138 (forall @t269 (=> @t266 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t222 @t268) @t264)))) % 1.14/1.39 (assume @p139 (forall @t76 (=> @t271 (=> @t74 @t270)))) % 1.14/1.39 (assume @p140 (forall @t76 (=> @t271 (=> @t74 @t273)))) % 1.14/1.39 (assume @p141 (forall @t276 (=> @t271 (=> @t74 (=> @t275 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t208 @t274)))))) % 1.14/1.39 (assume @p142 (forall @t277 (=> @t266 (=> @t270 @t74)))) % 1.14/1.39 (assume @p143 (forall @t278 (=> @t266 (=> @t273 @t74)))) % 1.14/1.39 (assume @p144 (forall @t267 (=> @t266 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t224 @t265) @t279)))) % 1.14/1.39 (assume @p145 (forall @t269 (=> @t266 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t222 @t268) @t279)))) % 1.14/1.39 (assume @p146 (forall @t76 (=> @t281 (=> @t96 @t280)))) % 1.14/1.39 (assume @p147 (forall @t76 (=> @t281 (=> @t96 @t282)))) % 1.14/1.39 (assume @p148 (forall @t276 (=> @t281 (=> @t96 @t285)))) % 1.14/1.39 (assume @p149 (forall @t277 (=> @t266 (=> @t280 @t96)))) % 1.14/1.39 (assume @p150 (forall @t278 (=> @t266 (=> @t282 @t96)))) % 1.14/1.39 (assume @p151 (forall @t233 (=> @t288 @t287))) % 1.14/1.39 (assume @p152 (forall @t233 (=> @t288 @t289))) % 1.14/1.39 (assume @p153 (forall @t292 (=> (tptp.class_Rings_Oring__no__zero__divisors @t16) (= (= @t291 @t17) (or @t37 (= @t118 @t17)))))) % 1.14/1.39 (assume @p154 (forall @t99 (=> @t297 (=> @t296 (=> (not @t294) (not @t293)))))) % 1.14/1.39 (assume @p155 (forall @t99 (=> @t297 (=> @t293 (or @t295 @t294))))) % 1.14/1.39 (assume @p156 (forall @t27 (=> @t298 (not (= @t201 @t17))))) % 1.14/1.39 (assume @p157 (forall @t27 (=> @t298 (not (= @t17 @t201))))) % 1.14/1.39 (assume @p158 (forall @t301 (=> @t32 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t255) @t24) (tptp.c_Groups_Oplus__class_Oplus @t16 @t300 @t299))))) % 1.14/1.39 (assume @p159 (forall @t301 (=> @t32 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t304) @t24) (tptp.hAPP (tptp.hAPP @t170 @t300) @t299))))) % 1.14/1.39 (assume @p160 (forall @t26 (=> @t306 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t305) @t24) @t201)))) % 1.14/1.39 (assume @p161 (forall @t158 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t122 @t157)))) % 1.14/1.39 (assume @p162 (forall @t53 (=> @t131 (=> @t308 (= (tptp.hAPP (tptp.hAPP @t170 (tptp.c_Groups_Oabs__class_Oabs @t16 @t49)) @t24) (tptp.c_Groups_Oabs__class_Oabs @t16 @t307)))))) % 1.14/1.39 (assume @p163 (forall @t99 (=> (tptp.class_Rings_Oordered__ring__abs @t16) (=> (and (or @t312 @t311) (or @t310 @t309)) @t239)))) % 1.14/1.39 (assume @p164 (forall @t27 (=> @t216 (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t313)))) % 1.14/1.39 (assume @p165 (forall @t53 (=> @t131 (=> @t308 (=> @t315 (=> @t314 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t250 @t24))))))) % 1.14/1.39 (assume @p166 (forall @t53 (=> @t131 (=> @t308 (=> @t315 (=> @t314 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t307 @t24))))))) % 1.14/1.39 (assume @p167 (forall @t205 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t16) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t66) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t49 @t66) (=> @t204 (=> @t203 (=> @t202 (tptp.c_Orderings_Oord__class_Oless @t16 @t200 @t66))))))))) % 1.14/1.39 (assume @p168 (forall @t53 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t316 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t25 @t248))))) % 1.14/1.39 (assume @p169 (forall @t320 (=> @t22 (=> @t319 (=> @t318 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t316 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t159 @t317))))))) % 1.14/1.39 (assume @p170 (forall @t53 (=> @t174 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t251 @t249)))) % 1.14/1.39 (assume @p171 (forall @t320 (=> @t174 (=> @t319 (=> @t318 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t251 (tptp.hAPP (tptp.hAPP @t121 @t159) @t317))))))) % 1.14/1.39 (assume @p172 (forall @t27 (=> @t306 (= @t305 @t321)))) % 1.14/1.39 (assume @p173 (forall (@list @t24 @t141 @t66 @t16) (=> @t32 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t145) @t24) (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 (tptp.hAPP @t194 @t300)))))) % 1.14/1.39 (assume @p174 (forall (@list @t69 @t16) (=> @t174 (= (tptp.hAPP @t286 @t69) @t17)))) % 1.14/1.39 (assume @p175 (forall @t322 (=> @t174 (= (tptp.hAPP @t286 @t49) @t17)))) % 1.14/1.39 (assume @p176 (forall @t233 (=> @t174 @t289))) % 1.14/1.39 (assume @p177 (forall @t26 (=> @t174 (= (tptp.hAPP @t194 @t17) @t17)))) % 1.14/1.39 (assume @p178 (forall @t233 (=> @t22 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t323) @t323)))) % 1.14/1.39 (assume @p179 (forall @t325 (=> @t324 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t58 @t24) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t58 @t49))))) % 1.14/1.39 (assume @p180 (forall @t233 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t163)))) % 1.14/1.39 (assume @p181 (forall @t242 (=> @t166 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t241 @t17) @t37)))) % 1.14/1.39 (assume @p182 (forall @t233 (=> @t166 (=> @t312 @t326)))) % 1.14/1.39 (assume @p183 (forall @t233 (=> @t166 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t163 @t17))))) % 1.14/1.39 (assume @p184 (forall @t242 (=> @t166 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t241) (not @t37))))) % 1.14/1.39 (assume @p185 (forall @t233 (=> @t166 (=> @t327 @t326)))) % 1.14/1.39 (assume @p186 (forall @t329 (=> @t328 (= (= (tptp.hAPP (tptp.hAPP @t121 @t36) @t220) (tptp.hAPP (tptp.hAPP @t121 @t118) @t220)) @t119)))) % 1.14/1.39 (assume @p187 (forall @t329 (=> @t328 (= (= (tptp.hAPP @t330 @t36) (tptp.hAPP @t330 @t118)) @t119)))) % 1.14/1.39 (assume @p188 (not (= @t13 @t122))) % 1.14/1.39 (assume @p189 (forall @t242 (=> @t262 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t261) @t331)))) % 1.14/1.39 (assume @p190 (forall @t242 (=> @t262 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t261 @t17) @t332)))) % 1.14/1.39 (assume @p191 (forall @t99 (=> @t333 (=> @t312 (=> @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t165)))))) % 1.14/1.39 (assume @p192 (forall @t83 (=> @t333 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t18) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t40) (= @t336 @t335)))))) % 1.14/1.40 (assume @p193 (forall @t76 (=> @t333 (=> @t312 (=> @t78 @t337))))) % 1.14/1.40 (assume @p194 (forall (@list @t66 @t69 @t67 @t16) (=> @t333 (=> @t338 (=> @t71 @t337))))) % 1.14/1.40 (assume @p195 (forall @t99 (=> @t333 (=> @t311 (=> @t309 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t165 @t17)))))) % 1.14/1.40 (assume @p196 (forall @t242 (=> @t262 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t261) @t130)))) % 1.14/1.40 (assume @p197 (forall @t242 (=> @t262 @t340))) % 1.14/1.40 (assume @p198 (forall @t99 (=> @t333 (=> @t327 @t343)))) % 1.14/1.40 (assume @p199 (forall @t76 (=> @t216 (=> @t327 @t345)))) % 1.14/1.40 (assume @p200 (forall @t99 (=> @t333 (=> @t349 @t348)))) % 1.14/1.40 (assume @p201 (forall @t276 (=> @t281 (=> @t96 (=> @t275 @t283))))) % 1.14/1.40 (assume @p202 (forall @t276 (=> @t281 (=> @t74 @t285)))) % 1.14/1.40 (assume @p203 (forall @t233 (=> @t350 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t232)))) % 1.14/1.40 (assume @p204 (forall @t292 (=> @t353 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t291) (or (and @t331 @t352) (and @t332 @t351)))))) % 1.14/1.40 (assume @p205 (forall @t292 (=> @t353 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t291 @t17) (or (and @t331 @t351) (and @t332 @t352)))))) % 1.14/1.40 (assume @p206 (forall @t99 (=> @t355 (=> @t312 (=> @t310 @t354))))) % 1.14/1.40 (assume @p207 (forall @t99 (=> @t355 (=> @t312 (=> @t309 @t356))))) % 1.14/1.40 (assume @p208 (forall @t99 (=> @t355 (=> @t312 (=> @t309 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t357 @t17)))))) % 1.14/1.40 (assume @p209 (forall @t99 (=> @t355 (=> @t311 (=> @t310 @t356))))) % 1.14/1.40 (assume @p210 (forall @t99 (=> @t358 (=> @t311 (=> @t309 @t354))))) % 1.14/1.40 (assume @p211 (forall @t76 (=> @t360 (=> @t74 (=> @t338 @t359))))) % 1.14/1.40 (assume @p212 (forall @t76 (=> @t360 @t364))) % 1.14/1.40 (assume @p213 (forall @t76 (=> (tptp.class_Rings_Oordered__comm__semiring @t16) @t364))) % 1.14/1.40 (assume @p214 (forall @t72 (=> @t358 (=> @t71 (=> @t365 @t359))))) % 1.14/1.40 (assume @p215 (forall @t72 (=> @t358 (=> @t71 (=> @t365 @t363))))) % 1.14/1.40 (assume @p216 (forall @t276 (=> @t360 (=> @t74 (=> @t275 (=> @t312 @t367)))))) % 1.14/1.40 (assume @p217 (forall @t276 (=> @t360 (=> @t74 (=> @t275 (=> @t310 @t367)))))) % 1.14/1.40 (assume @p218 (forall @t99 (=> @t358 (=> (or (and @t312 @t310) (and @t311 @t309)) @t354)))) % 1.14/1.40 (assume @p219 (forall @t99 (=> @t355 (=> (or (and @t312 @t309) (and @t311 @t310)) @t356)))) % 1.14/1.40 (assume @p220 (forall @t233 (=> @t350 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t232 @t17))))) % 1.14/1.40 (assume @p221 (forall @t267 (=> @t353 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t374 @t373) @t371)))) % 1.14/1.40 (assume @p222 (forall @t269 (=> @t353 (= @t378 @t371)))) % 1.14/1.40 (assume @p223 (forall @t269 (=> @t353 (=> @t370 (= @t378 @t279))))) % 1.14/1.40 (assume @p224 (forall @t99 (=> @t380 (=> @t327 (=> @t342 @t379))))) % 1.14/1.40 (assume @p225 (forall @t99 (=> @t380 (=> @t327 (=> @t347 @t381))))) % 1.14/1.40 (assume @p226 (forall @t99 (=> @t380 (=> @t327 (=> @t347 (tptp.c_Orderings_Oord__class_Oless @t16 @t357 @t17)))))) % 1.14/1.40 (assume @p227 (forall @t99 (=> @t380 (=> @t379 @t382)))) % 1.14/1.40 (assume @p228 (forall @t98 (=> @t380 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t357) @t382)))) % 1.14/1.40 (assume @p229 (forall @t269 (=> @t353 (=> @t369 (= @t378 @t368))))) % 1.14/1.40 (assume @p230 (forall @t99 (=> @t380 (=> @t349 (=> @t342 @t381))))) % 1.14/1.40 (assume @p231 (forall @t99 (=> @t353 (=> @t349 (=> @t347 @t379))))) % 1.14/1.40 (assume @p232 (forall @t76 (=> @t380 (=> @t96 (=> @t384 @t383))))) % 1.14/1.40 (assume @p233 (forall @t76 (=> @t380 @t386))) % 1.14/1.40 (assume @p234 (forall @t76 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t16) @t386))) % 1.14/1.40 (assume @p235 (forall @t72 (=> @t353 (=> @t94 (=> @t387 @t383))))) % 1.14/1.40 (assume @p236 (forall @t72 (=> @t353 (=> @t94 (=> @t387 @t385))))) % 1.14/1.40 (assume @p237 (forall @t27 (=> @t216 (not (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t201 @t17))))) % 1.14/1.40 (assume @p238 (forall @t27 (=> @t216 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t201)))) % 1.14/1.40 (assume @p239 (forall @t27 (=> @t216 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t17))))) % 1.14/1.40 (assume @p240 (forall @t27 (=> @t216 (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t201)))) % 1.14/1.40 (assume @p241 (forall @t99 (=> @t333 (=> @t327 (=> @t310 @t341))))) % 1.14/1.40 (assume @p242 (forall @t99 (=> @t333 (=> @t312 @t343)))) % 1.14/1.40 (assume @p243 (forall @t76 (=> @t333 (=> @t327 (=> @t78 @t344))))) % 1.14/1.40 (assume @p244 (forall @t76 (=> @t333 (=> @t312 @t345)))) % 1.14/1.40 (assume @p245 (forall @t99 (=> @t333 (=> @t349 (=> @t309 @t346))))) % 1.14/1.40 (assume @p246 (forall @t99 (=> @t333 (=> @t311 @t348)))) % 1.14/1.40 (assume @p247 (forall @t269 (=> @t353 (=> @t370 (= @t388 @t264))))) % 1.14/1.40 (assume @p248 (forall @t269 (=> @t353 (=> @t369 (= @t388 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t118 @t36)))))) % 1.14/1.40 (assume @p249 (forall @t276 (=> @t380 (=> @t96 (=> @t284 (=> @t342 @t390)))))) % 1.14/1.40 (assume @p250 (forall @t276 (=> @t380 (=> @t96 (=> @t284 (=> @t312 @t390)))))) % 1.14/1.40 (assume @p251 (forall @t276 (=> @t380 (=> @t96 (=> @t275 (=> @t312 (=> @t384 @t389))))))) % 1.14/1.40 (assume @p252 (forall @t276 (=> @t380 (=> @t74 (=> @t284 (=> @t327 @t390)))))) % 1.14/1.40 (assume @p253 (forall @t277 (=> @t393 @t392))) % 1.14/1.40 (assume @p254 (forall @t277 (=> @t380 @t392))) % 1.14/1.40 (assume @p255 (forall @t278 (=> @t393 @t394))) % 1.14/1.40 (assume @p256 (forall @t278 (=> @t380 @t394))) % 1.14/1.40 (assume @p257 (forall @t277 (=> @t380 (=> @t359 @t395)))) % 1.14/1.40 (assume @p258 (forall @t278 (=> @t380 (=> @t363 @t395)))) % 1.14/1.40 (assume @p259 (forall @t27 (=> @t131 (not (tptp.c_Polynomial_Opos__poly @t16 @t30))))) % 1.14/1.40 (assume @p260 (forall @t399 (=> @t398 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t397 @t396) @t44)))) % 1.14/1.40 (assume @p261 (forall @t402 (=> @t401 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t49) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 (tptp.hAPP @t400 @t49)))))) % 1.14/1.40 (assume @p262 (forall (@list @t49 @t24 @t58) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t58) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t49) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t168 @t24) (tptp.hAPP @t168 @t49)))))) % 1.14/1.40 (assume @p263 (forall (@list @t67 @t16) (=> @t32 (= (tptp.c_Polynomial_Osynthetic__div @t16 @t30 @t67) @t30)))) % 1.14/1.40 (assume @p264 (forall @t399 (=> @t398 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t397 @t396) @t43)))) % 1.14/1.40 (assume @p265 (forall @t399 (=> @t398 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t403 @t18) (tptp.hAPP @t403 @t40)) @t43)))) % 1.14/1.40 (assume @p266 (forall (@list @t49 @t24 @t67 @t16) (=> @t22 (=> @t406 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t25 (tptp.hAPP @t405 @t248)) @t404))))) % 1.14/1.40 (assume @p267 (forall (@list @t49 @t24 @t67) (=> @t406 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t157 (tptp.hAPP @t405 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t49))) @t407)))) % 1.14/1.40 (assume @p268 (forall @t53 (=> @t350 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t409 @t17))))) % 1.14/1.40 (assume @p269 (forall @t83 (=> @t353 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t412) (or @t20 (not @t334)))))) % 1.14/1.40 (assume @p270 (forall @t53 (=> @t350 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t409)))) % 1.14/1.40 (assume @p271 (forall @t83 (=> @t353 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t412 @t17) @t335)))) % 1.14/1.40 (assume @p272 (forall @t413 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t246)) @t243))) % 1.14/1.40 (assume @p273 (forall (@list @t215 @t66 @t16) (=> @t306 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t415 @t215) @t414)))) % 1.14/1.40 (assume @p274 (forall (@list @t66 @t215 @t16) (=> @t306 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t215 @t415) @t414)))) % 1.14/1.40 (assume @p275 (forall (@list @t215 @t16) (=> @t306 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t215 @t215) (tptp.hAPP (tptp.hAPP @t170 @t313) @t215))))) % 1.14/1.40 (assume @p276 (forall (@list @t159 @t254 @t141 @t16) (=> @t32 (= (tptp.hAPP (tptp.hAPP @t302 @t255) @t159) (tptp.c_Groups_Oplus__class_Oplus @t29 (tptp.hAPP @t303 @t159) (tptp.hAPP @t416 @t159)))))) % 1.14/1.40 (assume @p277 (forall @t417 (=> @t257 (= (tptp.c_Groups_Oplus__class_Oplus @t29 @t30 @t254) @t254)))) % 1.14/1.40 (assume @p278 (forall @t418 (=> @t257 (= (tptp.c_Groups_Oplus__class_Oplus @t29 @t141 @t30) @t141)))) % 1.14/1.40 (assume @p279 (forall @t417 (=> @t32 (= (tptp.hAPP (tptp.hAPP @t302 @t30) @t254) @t30)))) % 1.14/1.40 (assume @p280 (forall @t418 (=> @t32 (= (tptp.hAPP @t303 @t30) @t30)))) % 1.14/1.40 (assume @p281 (forall @t421 (=> @t131 (=> @t420 (=> @t419 (tptp.c_Polynomial_Opos__poly @t16 @t255)))))) % 1.14/1.40 (assume @p282 (forall @t421 (=> @t131 (=> @t420 (=> @t419 (tptp.c_Polynomial_Opos__poly @t16 @t304)))))) % 1.14/1.40 (assume @p283 (forall @t99 (=> @t306 (= @t173 @t357)))) % 1.14/1.40 (assume @p284 (forall @t429 (=> @t306 (= @t428 (tptp.hAPP @t426 (tptp.hAPP @t424 @t422)))))) % 1.14/1.40 (assume @p285 (forall @t429 (=> @t306 (= @t428 (tptp.hAPP @t430 @t422))))) % 1.14/1.40 (assume @p286 (forall @t435 (=> @t306 (= @t434 (tptp.hAPP @t424 (tptp.hAPP @t432 @t425)))))) % 1.14/1.40 (assume @p287 (forall @t435 (=> @t306 (= @t434 (tptp.hAPP @t430 @t431))))) % 1.14/1.40 (assume @p288 (forall @t437 (=> @t306 (= @t436 (tptp.hAPP @t424 (tptp.hAPP @t432 @t427)))))) % 1.14/1.40 (assume @p289 (forall @t437 (=> @t306 (= @t436 (tptp.hAPP @t426 (tptp.hAPP @t433 @t422)))))) % 1.14/1.40 (assume @p290 (forall @t437 (=> @t306 (= @t436 (tptp.hAPP @t430 (tptp.hAPP @t432 @t422)))))) % 1.14/1.40 (assume @p291 (forall @t438 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t106) (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 @t106 @t58)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t58))))) % 1.14/1.40 (assume @p292 (forall (@list @t67 @t66 @t16) (=> @t306 (= @t208 @t206)))) % 1.14/1.40 (assume @p293 (forall @t441 (=> @t306 (= @t440 (tptp.c_Groups_Oplus__class_Oplus @t16 @t67 (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t210)))))) % 1.14/1.40 (assume @p294 (forall @t441 (=> @t306 (= @t440 (tptp.c_Groups_Oplus__class_Oplus @t16 @t208 @t210))))) % 1.14/1.40 (assume @p295 (forall @t76 (=> @t306 @t231))) % 1.14/1.40 (assume @p296 (forall @t76 (=> @t306 (= @t230 (tptp.c_Groups_Oplus__class_Oplus @t16 @t208 @t69))))) % 1.14/1.40 (assume @p297 (forall @t276 (=> @t306 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t165 @t439) (tptp.c_Groups_Oplus__class_Oplus @t16 @t208 @t274))))) % 1.14/1.40 (assume @p298 (forall @t233 (=> @t306 @t289))) % 1.14/1.40 (assume @p299 (forall @t233 (=> @t306 @t287))) % 1.14/1.40 (assume @p300 (forall @t443 (=> @t442 (= (= @t118 @t223) @t37)))) % 1.14/1.40 (assume @p301 (forall @t233 (=> @t306 @t263))) % 1.14/1.40 (assume @p302 (forall @t233 (=> @t306 @t259))) % 1.14/1.40 (assume @p303 (forall @t65 (=> @t306 (= (tptp.hAPP @t194 (tptp.c_Groups_Oplus__class_Oplus @t16 @t49 @t58)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t250 (tptp.hAPP @t194 @t58)))))) % 1.14/1.40 (assume @p304 (forall @t446 (=> @t442 (= (and (not @t119) (not @t445)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t374 (tptp.hAPP @t372 @t444)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t290 @t444) @t373))))))) % 1.14/1.40 (assume @p305 (forall @t76 (=> @t306 @t228))) % 1.14/1.40 (assume @p306 (forall (@list @t69 @t215 @t66 @t16) (=> @t306 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t415 (tptp.hAPP @t219 @t215)) (tptp.hAPP @t218 @t215))))) % 1.14/1.40 (assume @p307 (forall (@list @t124 @t18 @t40 @t447 @t16) (=> @t442 (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t448 @t40) (tptp.hAPP @t410 @t124)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t448 @t124) (tptp.hAPP @t410 @t40))) (or (= @t447 @t18) (= @t40 @t124)))))) % 1.14/1.40 (assume @p308 (forall @t233 (=> @t306 @t238))) % 1.14/1.40 (assume @p309 (forall @t233 (=> @t306 @t234))) % 1.14/1.40 (assume @p310 (forall (@list @t210 @t67 @t69 @t66 @t159 @t16) (=> @t442 (=> (not (= @t159 @t17)) (=> (and @t77 (not (= @t67 @t210))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 (tptp.hAPP @t449 @t67)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 (tptp.hAPP @t449 @t210))))))))) % 1.14/1.40 (assume @p311 (forall @t83 (=> @t353 (= (= @t412 @t17) @t335)))) % 1.14/1.40 (assume @p312 (forall (@list @t254 @t141 @t66 @t16) (=> @t32 (= (tptp.c_Polynomial_Opcompose @t16 @t145 @t254) (tptp.c_Groups_Oplus__class_Oplus @t29 (tptp.c_Polynomial_OpCons @t16 @t66 @t30) (tptp.hAPP @t416 @t450)))))) % 1.14/1.40 (assume @p313 (forall @t242 (=> @t131 @t340))) % 1.14/1.40 (assume @p314 (forall @t451 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t132)))) % 1.14/1.40 (assume @p315 (forall @t451 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t214))) % 1.14/1.40 (assume @p316 (forall (@list @t141 @t67 @t16) (=> @t452 (= (tptp.c_Groups_Oplus__class_Oplus @t29 (tptp.hAPP (tptp.hAPP @t302 (tptp.c_Polynomial_OpCons @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t67) @t321)) @t142) (tptp.c_Polynomial_OpCons @t16 @t144 @t30)) @t141)))) % 1.14/1.40 (assume @p317 (forall @t322 (=> @t174 (exists @t153 (and @t152 @t454))))) % 1.14/1.40 (assume @p318 (forall @t458 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 @t457))) % 1.14/1.40 (assume @p319 (forall @t460 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t214 @t459))) % 1.14/1.40 (assume @p320 (forall @t460 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t214 @t461))) % 1.14/1.40 (assume @p321 (forall @t458 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 (tptp.hAPP @t456 @t457)))) % 1.14/1.40 (assume @p322 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t462 @t463) (exists @t151 (= @t463 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t462 @t147)))))) % 1.14/1.40 (assume @p323 (forall @t471 (= @t470 (exists @t469 (= @t468 @t467))))) % 1.14/1.40 (assume @p324 (forall @t471 (= @t474 (and @t470 @t473)))) % 1.14/1.40 (assume @p325 (forall @t471 (= @t470 @t475))) % 1.14/1.40 (assume @p326 (forall @t478 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t477 @t476) @t470))) % 1.14/1.40 (assume @p327 (forall @t481 (=> @t480 @t479))) % 1.14/1.40 (assume @p328 (forall @t484 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t112 @t482)))) % 1.14/1.40 (assume @p329 (forall @t484 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t112 @t485)))) % 1.14/1.40 (assume @p330 (forall @t114 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t487 @t486)))) % 1.14/1.40 (assume @p331 (forall @t114 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t491 @t489)))) % 1.14/1.40 (assume @p332 (forall @t114 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t494 @t493)))) % 1.14/1.40 (assume @p333 (forall @t481 (=> @t479 (=> @t496 @t480)))) % 1.14/1.40 (assume @p334 (forall @t500 (=> @t483 (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t487 @t498))))) % 1.14/1.40 (assume @p335 (forall @t500 (=> @t483 (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t491 (tptp.hAPP @t488 @t497)))))) % 1.14/1.40 (assume @p336 (forall @t504 (=> @t503 @t501))) % 1.14/1.40 (assume @p337 (forall @t504 (=> @t503 @t479))) % 1.14/1.40 (assume @p338 (forall @t504 (=> @t503 (not (=> @t479 (not @t501)))))) % 1.14/1.40 (assume @p339 (forall @t481 (=> (or @t480 @t495) @t479))) % 1.14/1.40 (assume @p340 (forall (@list @t505 @t468 @t466) (=> (=> @t474 @t507) (=> (=> @t472 @t507) (=> (=> @t508 @t507) @t507))))) % 1.14/1.40 (assume @p341 (forall @t114 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t111) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t111)))) % 1.14/1.40 (assume @p342 (forall (@list @t214 @t215 @t497 @t111) (=> @t511 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t497) @t510) @t480)))) % 1.14/1.40 (assume @p343 (forall @t500 (=> @t512 (=> @t511 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t487 @t498))))) % 1.14/1.40 (assume @p344 (forall @t114 (=> @t512 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t487 @t486)))) % 1.14/1.40 (assume @p345 (forall @t484 (=> @t512 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t485)))) % 1.14/1.40 (assume @p346 (forall @t484 (=> @t512 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t482)))) % 1.14/1.40 (assume @p347 (forall (@list @t513 @t317) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t317 @t513) (not (= @t317 @t513))))) % 1.14/1.40 (assume @p348 (forall @t460 (=> @t514 @t496))) % 1.14/1.40 (assume @p349 (forall @t451 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t214)))) % 1.14/1.40 (assume @p350 (forall @t402 (=> @t86 (=> (not @t515) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t49 @t24))))) % 1.14/1.40 (assume @p351 (forall @t478 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t477 @t476) @t474))) % 1.14/1.40 (assume @p352 (forall @t471 (= @t473 (or @t474 @t508)))) % 1.14/1.40 (assume @p353 (forall (@list @t112 @t113) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t516 @t112)))) % 1.14/1.40 (assume @p354 (forall (@list @t113 @t112) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t112)))) % 1.14/1.40 (assume @p355 (forall (@list @t24 @t141 @t16) (=> @t518 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t517) @t24) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t300))))) % 1.14/1.40 (assume @p356 (forall @t521 (=> @t520 (= (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t145) (tptp.c_Polynomial_OpCons @t16 @t519 @t517))))) % 1.14/1.40 (assume @p357 (forall (@list @t141 @t66 @t54) (=> (tptp.class_Groups_Oab__group__add @t54) (= (tptp.c_Groups_Ouminus__class_Ouminus @t136 (tptp.c_Polynomial_OpCons @t54 @t66 @t141)) (tptp.c_Polynomial_OpCons @t54 (tptp.c_Groups_Ouminus__class_Ouminus @t54 @t66) (tptp.c_Groups_Ouminus__class_Ouminus @t136 @t141)))))) % 1.14/1.40 (assume @p358 (forall @t233 (=> @t522 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t519) @t66)))) % 1.14/1.40 (assume @p359 (forall @t292 (=> @t522 (= @t525 (= @t118 @t523))))) % 1.14/1.40 (assume @p360 (forall @t292 (=> @t522 (= (= @t523 @t118) (= @t524 @t36))))) % 1.14/1.40 (assume @p361 (forall @t292 (=> @t522 (= (= @t523 @t524) @t119)))) % 1.14/1.40 (assume @p362 (forall @t481 (=> @t479 (=> @t526 @t495)))) % 1.14/1.40 (assume @p363 (forall @t114 (=> @t483 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t113 @t111) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t112 @t111))))) % 1.14/1.40 (assume @p364 (forall @t481 (=> @t495 @t479))) % 1.14/1.40 (assume @p365 (forall @t481 (or @t479 @t526))) % 1.14/1.40 (assume @p366 (forall @t451 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t214 @t214))) % 1.14/1.40 (assume @p367 (forall @t27 (=> @t522 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t17) @t17)))) % 1.14/1.40 (assume @p368 (forall @t242 (=> @t522 (= (= @t17 @t523) (= @t17 @t36))))) % 1.14/1.40 (assume @p369 (forall @t242 (=> @t262 (= (= @t36 @t523) @t37)))) % 1.14/1.40 (assume @p370 (forall @t242 (=> @t522 (= (= @t523 @t17) @t37)))) % 1.14/1.40 (assume @p371 (forall @t242 (=> @t262 (= (= @t523 @t36) @t37)))) % 1.14/1.40 (assume @p372 (forall @t292 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t36 @t524) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t118 @t523))))) % 1.14/1.40 (assume @p373 (forall @t292 (=> @t527 (= @t528 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t524 @t36))))) % 1.14/1.40 (assume @p374 (forall @t443 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t524 @t523) @t264)))) % 1.14/1.40 (assume @p375 (forall @t99 (=> @t527 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t529 @t519))))) % 1.14/1.40 (assume @p376 (forall @t292 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t524) (tptp.c_Orderings_Oord__class_Oless @t16 @t118 @t523))))) % 1.14/1.40 (assume @p377 (forall @t292 (=> @t527 (= @t530 (tptp.c_Orderings_Oord__class_Oless @t16 @t524 @t36))))) % 1.14/1.40 (assume @p378 (forall @t443 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t524 @t523) @t279)))) % 1.14/1.40 (assume @p379 (forall @t99 (=> @t174 (= @t532 @t531)))) % 1.14/1.40 (assume @p380 (forall (@list @t24 @t176 @t16) (=> @t174 (= (tptp.hAPP @t177 @t533) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t179))))) % 1.14/1.40 (assume @p381 (forall @t99 (=> @t174 (= @t535 @t531)))) % 1.14/1.40 (assume @p382 (forall @t53 (=> @t174 (= (tptp.hAPP (tptp.hAPP @t170 @t533) @t49) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t250))))) % 1.14/1.40 (assume @p383 (forall @t292 (=> @t47 (= (= (tptp.hAPP @t290 @t36) (tptp.hAPP @t372 @t118)) (or @t119 @t525))))) % 1.14/1.40 (assume @p384 (forall @t99 (=> @t536 (= (tptp.hAPP @t534 @t529) @t173)))) % 1.14/1.40 (assume @p385 (forall @t99 (=> @t536 (= @t535 @t532)))) % 1.14/1.40 (assume @p386 (forall @t99 (=> @t536 (= @t531 @t535)))) % 1.14/1.40 (assume @p387 (forall @t99 (=> @t536 (= @t531 @t532)))) % 1.14/1.40 (assume @p388 (forall @t99 (=> @t522 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t519 @t165) @t69)))) % 1.14/1.40 (assume @p389 (forall @t99 (=> @t522 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 (tptp.c_Groups_Oplus__class_Oplus @t16 @t519 @t69)) @t69)))) % 1.14/1.40 (assume @p390 (forall @t99 (=> @t522 (= @t537 (tptp.c_Groups_Oplus__class_Oplus @t16 @t529 @t519))))) % 1.14/1.40 (assume @p391 (forall @t99 (=> @t520 (= @t537 (tptp.c_Groups_Oplus__class_Oplus @t16 @t519 @t529))))) % 1.14/1.40 (assume @p392 (forall @t233 (=> @t166 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t519) @t163)))) % 1.14/1.40 (assume @p393 (forall @t26 (=> @t22 (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t533) @t25)))) % 1.14/1.40 (assume @p394 (forall @t27 (=> @t520 (= (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t30) @t30)))) % 1.14/1.40 (assume @p395 (forall @t26 (=> @t131 (and (=> @t539 (= @t538 (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t24))) (=> (not @t539) (= @t538 @t24)))))) % 1.14/1.40 (assume @p396 (forall @t242 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t523) @t332)))) % 1.14/1.40 (assume @p397 (forall @t242 (=> @t262 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t36 @t523) @t332)))) % 1.14/1.40 (assume @p398 (forall @t242 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t523 @t17) @t331)))) % 1.14/1.40 (assume @p399 (forall @t242 (=> @t262 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t523 @t36) @t331)))) % 1.14/1.40 (assume @p400 (forall @t242 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t523) @t339)))) % 1.14/1.40 (assume @p401 (forall @t242 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t523) @t339)))) % 1.14/1.40 (assume @p402 (forall @t242 (=> @t527 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t523 @t17) @t130)))) % 1.14/1.40 (assume @p403 (forall @t242 (=> @t262 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t523 @t36) @t130)))) % 1.14/1.40 (assume @p404 (forall @t233 (=> @t522 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t66 @t519) @t17)))) % 1.14/1.40 (assume @p405 (forall @t292 (=> @t522 (= @t525 (= @t225 @t17))))) % 1.14/1.40 (assume @p406 (forall @t233 (=> @t522 @t540))) % 1.14/1.40 (assume @p407 (forall @t233 (=> @t520 @t540))) % 1.14/1.40 (assume @p408 (forall @t99 (=> @t522 (=> (= @t165 @t17) (= @t519 @t69))))) % 1.14/1.40 (assume @p409 (forall @t83 (=> @t522 (= @t336 (= @t40 @t541))))) % 1.14/1.40 (assume @p410 (forall @t23 (=> @t543 (= (= @t411 @t201) (or @t237 (= @t18 @t542)))))) % 1.14/1.40 (assume @p411 (forall @t26 (=> @t452 (= @t533 (tptp.hAPP (tptp.hAPP @t170 @t542) @t24))))) % 1.14/1.40 (assume @p412 (forall @t233 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t519 @t163)))) % 1.14/1.40 (assume @p413 (forall @t292 (=> @t166 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t241 @t118) (and @t264 @t528))))) % 1.14/1.40 (assume @p414 (forall @t99 (=> @t166 (=> @t74 (=> @t544 @t247))))) % 1.14/1.40 (assume @p415 (forall @t99 (=> @t166 (=> @t247 @t544)))) % 1.14/1.40 (assume @p416 (forall @t292 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t241 @t118) (and @t279 @t530))))) % 1.14/1.40 (assume @p417 (forall (@list @t24 @t199) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t121 @t199) @t199)) (tptp.hAPP @t400 @t24)))) % 1.14/1.40 (assume @p418 (forall @t545 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t18 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t36)) @t13) (= @t18 @t36)))) % 1.14/1.40 (assume @p419 (forall @t45 (= (= @t547 @t13) (= @t40 @t546)))) % 1.14/1.40 (assume @p420 (forall (@list @t548 @t18) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t18) @t548) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t548) @t18) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 @t548))))) % 1.14/1.40 (assume @p421 (forall @t402 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t549) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t49 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t24)))))) % 1.14/1.40 (assume @p422 (forall @t418 (=> @t131 (or @t550 @t420 (tptp.c_Polynomial_Opos__poly @t16 @t517))))) % 1.14/1.40 (assume @p423 (forall @t417 (=> @t32 (= (tptp.c_Polynomial_Opcompose @t16 @t30 @t254) @t30)))) % 1.14/1.40 (assume @p424 (forall @t233 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t163) @t17)))) % 1.14/1.40 (assume @p425 (forall @t233 (=> @t166 (=> @t311 @t551)))) % 1.14/1.40 (assume @p426 (forall @t233 (=> (tptp.class_Groups_Oabs__if @t16) (and @t552 (=> (not @t349) @t326))))) % 1.14/1.40 (assume @p427 (forall @t233 (=> @t166 @t552))) % 1.14/1.40 (assume @p428 (forall @t301 (=> @t32 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t450) @t24) (tptp.hAPP @t143 @t299))))) % 1.14/1.40 (assume @p429 (forall @t45 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t547) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t546 @t40)))) % 1.14/1.40 (assume @p430 (forall @t45 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t547 @t13) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t546)))) % 1.14/1.40 (assume @p431 (forall @t45 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t547) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t546 @t40)))) % 1.14/1.40 (assume @p432 (forall @t45 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t547 @t13) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t546)))) % 1.14/1.40 (assume @p433 (forall @t555 (and (=> @t554 (= @t553 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t66))) (=> (not @t554) (= @t553 @t66))))) % 1.14/1.40 (assume @p434 (forall @t161 (and (=> @t556 (= @t160 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t159))) (=> (not @t556) (= @t160 @t159))))) % 1.14/1.40 (assume @p435 (forall (@list @t215 @t497 @t49 @t24) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t49) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t558 @t557))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t558)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t49 @t557)))))) % 1.14/1.40 (assume @p436 (forall @t562 (= @t561 @t559))) % 1.14/1.40 (assume @p437 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t468 @t132) @t560))) % 1.14/1.40 (assume @p438 (forall @t481 (=> @t480 @t564))) % 1.14/1.40 (assume @p439 (forall @t451 (=> @t564 @t565))) % 1.14/1.40 (assume @p440 (forall @t451 (= (tptp.hAPP (tptp.hAPP @t455 @t132) @t214) @t132))) % 1.14/1.40 (assume @p441 (forall @t471 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t568) (and @t566 @t559)))) % 1.14/1.40 (assume @p442 (forall @t458 (= (tptp.hAPP @t456 @t132) @t132))) % 1.14/1.40 (assume @p443 (forall @t471 (= (= @t568 @t132) (or @t569 @t560)))) % 1.14/1.40 (assume @p444 (forall @t478 (= @t575 @t571))) % 1.14/1.40 (assume @p445 (forall @t579 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t578 @t577) @t571))) % 1.14/1.40 (assume @p446 (forall @t478 (= @t581 @t580))) % 1.14/1.40 (assume @p447 (forall @t579 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t578 @t577) @t580))) % 1.14/1.40 (assume @p448 (forall @t478 (= @t584 @t583))) % 1.14/1.40 (assume @p449 (forall @t579 (= (= @t578 @t577) @t583))) % 1.14/1.40 (assume @p450 (forall @t114 (=> @t512 (=> @t585 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t491 @t489))))) % 1.14/1.40 (assume @p451 (forall @t114 (=> @t512 (=> @t585 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t494 @t493))))) % 1.14/1.40 (assume @p452 (forall @t451 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t132 @t214) @t214))) % 1.14/1.40 (assume @p453 (forall @t471 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t586) (or @t566 @t559)))) % 1.14/1.40 (assume @p454 (forall @t458 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t132) @t215))) % 1.14/1.40 (assume @p455 (forall @t471 (= (= @t586 @t132) (and @t569 @t560)))) % 1.14/1.40 (assume @p456 (forall @t481 (=> (= @t459 @t215) @t563))) % 1.14/1.40 (assume @p457 (forall @t481 (=> (= @t215 @t588) (or (= @t214 @t587) (= @t215 @t132))))) % 1.14/1.40 (assume @p458 (forall @t242 (=> @t262 (= (= @t261 @t17) @t37)))) % 1.14/1.40 (assume @p459 (forall @t478 (=> @t570 (= @t581 @t470)))) % 1.14/1.40 (assume @p460 (forall @t156 (=> @t22 (= @t155 (exists @t469 (and @t589 (exists @t6 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t149 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t3))) @t465))))))))) % 1.14/1.40 (assume @p461 (forall @t156 (=> @t22 (= @t155 (exists @t469 (and @t589 (exists @t591 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t149 (tptp.c_Groups_Ouminus__class_Ouminus @t16 (tptp.hAPP @t148 @t590)))) @t465))))))))) % 1.14/1.40 (assume @p462 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t592) @t592))) % 1.14/1.40 (assume @p463 (forall @t27 (=> @t174 (exists @t153 (and @t152 @t595))))) % 1.14/1.40 (assume @p464 (forall @t26 (=> @t174 (exists @t153 (and @t152 @t596))))) % 1.14/1.40 (assume @p465 (forall (@list @t111 @t113 @t199 @t112) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t490 @t199) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t488 @t199) @t111)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t455 @t509) @t199) @t111)))) % 1.14/1.40 (assume @p466 (forall @t579 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t466 @t462) @t597) @t472))) % 1.14/1.40 (assume @p467 (forall @t478 (= (= @t477 @t476) @t472))) % 1.14/1.40 (assume @p468 (forall @t601 (= (tptp.hAPP (tptp.hAPP @t455 @t459) @t111) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t600 @t599)))) % 1.14/1.40 (assume @p469 (forall @t601 (= (tptp.hAPP (tptp.hAPP @t455 @t588) @t111) (tptp.hAPP @t456 @t599)))) % 1.14/1.40 (assume @p470 (forall @t601 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t459 @t111) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t602)))) % 1.14/1.40 (assume @p471 (forall @t471 (= (= @t568 @t587) @t605))) % 1.14/1.40 (assume @p472 (forall @t608 (= (tptp.hAPP @t492 @t459) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t607 @t606)))) % 1.14/1.40 (assume @p473 (forall @t325 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t609) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t49 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t58))))) % 1.14/1.40 (assume @p474 (forall @t481 (= @t588 @t610))) % 1.14/1.40 (assume @p475 (forall @t481 (= @t459 @t461))) % 1.14/1.40 (assume @p476 (forall @t451 (= (tptp.hAPP @t598 @t587) @t214))) % 1.14/1.40 (assume @p477 (forall @t471 (= (= @t587 @t568) @t605))) % 1.14/1.40 (assume @p478 (forall @t451 (= (tptp.hAPP (tptp.hAPP @t455 @t587) @t214) @t214))) % 1.14/1.40 (assume @p479 (forall @t478 (= @t584 (or @t582 @t472)))) % 1.14/1.40 (assume @p480 (forall @t478 (=> @t570 (= @t575 @t474)))) % 1.14/1.40 (assume @p481 (forall @t478 (=> @t570 (= @t584 @t472)))) % 1.14/1.40 (assume @p482 (forall @t612 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t58) @t611))) % 1.14/1.40 (assume @p483 (forall @t325 (=> @t613 @t611))) % 1.14/1.40 (assume @p484 (forall @t402 (=> @t515 @t613))) % 1.14/1.40 (assume @p485 (forall @t325 (=> @t515 @t614))) % 1.14/1.40 (assume @p486 (forall @t612 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t58) @t614))) % 1.14/1.40 (assume @p487 (forall @t156 (=> @t60 (= (tptp.c_SEQ_Odecseq @t16 @t148) (forall @t617 (=> @t616 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t149 @t615))))))) % 1.14/1.40 (assume @p488 (forall @t53 (=> @t619 (=> @t51 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t618 @t533))))) % 1.14/1.40 (assume @p489 (forall @t83 (=> @t619 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t541 @t620) @t81)))) % 1.14/1.40 (assume @p490 (forall @t26 (=> @t131 (and (=> @t623 (= @t621 @t30)) (=> (not @t623) (and (=> @t622 (= @t621 @t305)) (=> (not @t622) (= @t621 (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t305))))))))) % 1.14/1.40 (assume @p491 (forall @t233 (=> @t131 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t624) @t624)))) % 1.14/1.40 (assume @p492 (forall @t26 (=> @t22 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t533) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t625))))) % 1.14/1.40 (assume @p493 (forall @t27 (=> @t253 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t201) @t201)))) % 1.14/1.40 (assume @p494 (forall @t53 (=> @t252 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t250) (tptp.hAPP @t626 (tptp.c_Groups_Osgn__class_Osgn @t16 @t49)))))) % 1.14/1.40 (assume @p495 (forall @t99 (=> @t131 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t173) (tptp.hAPP (tptp.hAPP @t170 @t624) (tptp.c_Groups_Osgn__class_Osgn @t16 @t69)))))) % 1.14/1.40 (assume @p496 (forall @t27 (=> @t628 @t627))) % 1.14/1.40 (assume @p497 (forall @t242 (=> @t131 (= (= @t629 @t17) @t37)))) % 1.14/1.40 (assume @p498 (forall @t27 (=> @t22 @t627))) % 1.14/1.40 (assume @p499 (forall @t23 (=> @t22 (= (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t18) @t17) @t19)))) % 1.14/1.40 (assume @p500 (forall @t242 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t629 @t17) @t339)))) % 1.14/1.40 (assume @p501 (forall @t242 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t629) @t130)))) % 1.14/1.40 (assume @p502 (forall (@list @t111 @t16) (=> @t131 (= @t630 (tptp.hAPP (tptp.hAPP @t170 @t111) (tptp.c_Groups_Osgn__class_Osgn @t16 @t111)))))) % 1.14/1.40 (assume @p503 (forall @t26 (=> @t131 (= (tptp.hAPP @t626 (tptp.c_Groups_Oabs__class_Oabs @t16 @t24)) @t24)))) % 1.14/1.40 (assume @p504 (forall @t233 (=> @t631 (= @t232 @t66)))) % 1.14/1.40 (assume @p505 (forall @t26 (=> @t631 (= @t408 @t24)))) % 1.14/1.40 (assume @p506 (forall @t99 (=> @t631 (= (tptp.hAPP @t171 @t173) @t173)))) % 1.14/1.40 (assume @p507 (forall @t26 (=> @t619 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t533) @t24)))) % 1.14/1.40 (assume @p508 (forall (@list @t18 @t632 @t54 @t16) (=> (tptp.class_Groups_Ouminus @t16) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t634 @t632) @t18) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t633))))) % 1.14/1.40 (assume @p509 (forall @t83 (=> @t619 (= (= @t541 @t620) @t41)))) % 1.14/1.40 (assume @p510 (forall @t233 (=> @t131 (=> @t327 (= @t624 @t201))))) % 1.14/1.40 (assume @p511 (forall @t242 (=> @t131 (= (= @t629 @t201) @t130)))) % 1.14/1.40 (assume @p512 (forall @t233 (=> @t131 (=> @t349 (= @t624 @t542))))) % 1.14/1.40 (assume @p513 (forall @t242 (=> @t131 (= (= @t629 @t542) @t339)))) % 1.14/1.40 (assume @p514 (forall @t26 (=> @t628 (and (=> @t404 (= @t625 @t17)) (=> @t636 (and (=> @t635 (= @t625 @t201)) (=> (not @t635) (= @t625 @t542)))))))) % 1.14/1.40 (assume @p515 (forall @t26 (=> @t22 (and (=> @t404 (= @t637 @t13)) (=> @t636 (= @t637 @t122)))))) % 1.14/1.40 (assume @p516 (forall (@list @t148 @t638 @t16) (=> @t22 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t638) (=> (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t150 @t638)) @t155))))) % 1.14/1.40 (assume @p517 (forall @t156 (=> @t22 (=> @t155 @t154)))) % 1.14/1.40 (assume @p518 (forall (@list @t468 @t505) (=> @t641 (=> (tptp.hBOOL @t506) (exists @t469 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t465 @t468) (forall (@list @t639) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t639 @t465) (not (tptp.hBOOL (tptp.hAPP @t505 @t639))))) (tptp.hBOOL (tptp.hAPP @t505 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t465 @t587))))))))) % 1.14/1.40 (assume @p519 (forall @t322 (=> @t174 (exists @t153 (and @t642 @t454))))) % 1.14/1.40 (assume @p520 (forall @t158 @t644)) % 1.14/1.40 (assume @p521 (forall @t555 (and (=> @t648 (= @t646 @t13)) (=> (not @t648) (and (=> @t647 (= @t646 @t122)) (=> (not @t647) (= @t646 @t645))))))) % 1.14/1.40 (assume @p522 (forall @t158 (and (=> @t407 (= @t643 @t13)) (=> (not @t407) (and @t644 (=> (not @t401) (= @t643 @t645))))))) % 1.14/1.40 (assume @p523 (forall @t27 (=> @t174 (exists @t153 (and @t642 @t595))))) % 1.14/1.40 (assume @p524 (forall @t26 (=> @t174 (exists @t153 (and @t642 @t596))))) % 1.14/1.40 (assume @p525 (forall (@list @t220 @t34 @t16) (=> @t47 (= (= (tptp.hAPP @t46 @t220) @t17) (tptp.c_Rings_Odvd__class_Odvd @t29 (tptp.c_Polynomial_OpCons @t16 @t649 @t321) @t34))))) % 1.14/1.40 (assume @p526 (forall (@list @t34 @t220 @t16) (=> @t47 (= (tptp.c_Rings_Odvd__class_Odvd @t29 (tptp.c_Polynomial_OpCons @t16 @t220 @t321) @t34) (= (tptp.hAPP @t46 @t649) @t17))))) % 1.14/1.40 (assume @p527 (forall @t233 (=> @t306 (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t17)))) % 1.14/1.40 (assume @p528 (forall @t83 (=> @t452 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t541 @t40) @t650)))) % 1.14/1.40 (assume @p529 (forall @t83 (=> @t452 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t18 @t620) @t650)))) % 1.14/1.40 (assume @p530 (forall @t233 (=> @t306 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t17 @t66) @t295)))) % 1.14/1.40 (assume @p531 (forall @t76 (=> @t306 (=> @t653 (=> @t652 @t651))))) % 1.14/1.40 (assume @p532 (forall @t233 (=> @t306 (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t66)))) % 1.14/1.40 (assume @p533 (forall (@list @t111 @t497 @t16) (=> @t131 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t497) @t630) (tptp.c_Rings_Odvd__class_Odvd @t16 @t497 @t111))))) % 1.14/1.40 (assume @p534 (forall @t655 (=> @t131 (= (tptp.c_Rings_Odvd__class_Odvd @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t466) @t462) @t654)))) % 1.14/1.40 (assume @p535 (forall @t655 (=> @t131 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t466 (tptp.c_Groups_Oabs__class_Oabs @t16 @t462)) @t654)))) % 1.14/1.40 (assume @p536 (forall @t233 (=> @t306 (tptp.c_Rings_Odvd__class_Odvd @t16 @t201 @t66)))) % 1.14/1.40 (assume @p537 (forall @t76 (=> @t306 (=> @t653 (=> @t651 (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t229)))))) % 1.14/1.40 (assume @p538 (forall @t76 (=> @t306 (=> @t656 @t652)))) % 1.14/1.40 (assume @p539 (forall @t76 (=> @t306 (=> @t656 @t651)))) % 1.14/1.40 (assume @p540 (forall (@list @t111 @t69 @t66 @t16) (=> @t657 (=> (= @t66 (tptp.hAPP @t219 @t111)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t69 @t66))))) % 1.14/1.40 (assume @p541 (forall @t276 (=> @t306 (=> @t653 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t67 @t210) (tptp.c_Rings_Odvd__class_Odvd @t16 @t227 @t366)))))) % 1.14/1.40 (assume @p542 (forall @t277 (=> @t306 (=> @t651 @t658)))) % 1.14/1.40 (assume @p543 (forall @t76 (=> @t306 (=> @t653 @t658)))) % 1.14/1.40 (assume @p544 (forall @t99 (=> @t306 (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t357)))) % 1.14/1.40 (assume @p545 (forall @t99 (=> @t306 (tptp.c_Rings_Odvd__class_Odvd @t16 @t66 @t173)))) % 1.14/1.40 (assume @p546 (forall @t269 (=> @t47 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t377 @t376) @t659)))) % 1.14/1.40 (assume @p547 (forall @t267 (=> @t47 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t374 @t373) @t659)))) % 1.14/1.40 (assume @p548 (forall (@list @t463 @t505 @t16) (=> (and @t657 @t661) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t505 (tptp.hAPP (tptp.hAPP @t170 @t463) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t16 @t463 (tptp.c_Groups_Oplus__class_Oplus @t16 @t3 @t17)) @t660)))))) % 1.14/1.40 (assume @p549 (forall @t521 (=> @t47 @t665))) % 1.14/1.40 (assume @p550 (forall @t156 (=> @t60 (= (tptp.c_SEQ_Oincseq @t16 @t148) (forall @t617 (=> @t616 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t615 @t149))))))) % 1.14/1.40 (assume @p551 (forall @t158 (=> @t668 (= (tptp.c_RComplete_Onatceiling @t667) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t666 @t587))))) % 1.14/1.40 (assume @p552 (forall @t669 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t466 @t587) @t604))) % 1.14/1.40 (assume @p553 (forall (@list @t468 @t462) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t462 @t597) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t462 @t468)))) % 1.14/1.40 (assume @p554 (forall @t26 (=> @t306 (= (tptp.hAPP @t671 @t587) @t24)))) % 1.14/1.40 (assume @p555 (forall @t673 (=> @t306 (= (tptp.hAPP (tptp.hAPP @t670 @t672) @t254) (tptp.hAPP @t671 (tptp.hAPP (tptp.hAPP @t455 @t141) @t254)))))) % 1.14/1.40 (assume @p556 (forall (@list @t254 @t49 @t24 @t16) (=> @t306 (= (tptp.hAPP (tptp.hAPP @t670 @t250) @t254) (tptp.hAPP @t676 (tptp.hAPP @t674 @t254)))))) % 1.14/1.40 (assume @p557 (forall @t681 (=> @t252 (= @t680 @t678)))) % 1.14/1.40 (assume @p558 (forall (@list @t24 @t214 @t141 @t16) (=> @t306 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 (tptp.hAPP (tptp.hAPP @t663 @t141) @t214)) @t24) (tptp.hAPP (tptp.hAPP @t670 @t300) @t214))))) % 1.14/1.40 (assume @p559 (forall @t681 (=> @t253 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t680 @t678)))) % 1.14/1.40 (assume @p560 (= (tptp.c_RComplete_Onatceiling @t13) @t132)) % 1.14/1.40 (assume @p561 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t666))) % 1.14/1.40 (assume @p562 (forall @t402 (=> @t324 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t666 (tptp.c_RComplete_Onatceiling @t49))))) % 1.14/1.40 (assume @p563 (= (tptp.c_RComplete_Onatceiling @t122) @t587)) % 1.14/1.40 (assume @p564 (forall @t26 (=> @t306 (= (tptp.hAPP @t671 @t132) @t201)))) % 1.14/1.40 (assume @p565 (forall @t673 (=> @t306 (= (tptp.hAPP (tptp.hAPP @t170 @t672) @t675) (tptp.hAPP @t671 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t254)))))) % 1.14/1.40 (assume @p566 (forall @t481 (=> @t683 (=> @t480 (not @t682))))) % 1.14/1.40 (assume @p567 (forall @t478 (= @t685 (or @t582 @t684)))) % 1.14/1.40 (assume @p568 (forall @t158 (=> @t686 (= @t666 @t132)))) % 1.14/1.40 (assume @p569 (forall (@list @t214 @t111) (=> @t687 (=> @t565 @t501)))) % 1.14/1.40 (assume @p570 (forall @t608 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t607 @t606) (=> @t585 @t688)))) % 1.14/1.40 (assume @p571 (forall @t478 (=> @t570 (= @t685 @t684)))) % 1.14/1.40 (assume @p572 (forall @t413 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t689 @t587) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 @t122)))) % 1.14/1.40 (assume @p573 (forall @t471 (=> @t566 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t568 @t466) @t603)))) % 1.14/1.40 (assume @p574 (forall @t471 (=> @t566 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t576 @t466) @t466) @t603)))) % 1.14/1.40 (assume @p575 (forall @t695 (=> @t216 (=> @t96 (=> @t312 (=> @t565 @t694)))))) % 1.14/1.40 (assume @p576 (forall (@list @t24 @t214 @t16) (=> @t306 (=> (or @t565 (= @t24 @t201)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t24 @t679))))) % 1.14/1.40 (assume @p577 (forall @t697 (=> @t216 (=> @t696 (=> @t565 (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t693)))))) % 1.14/1.40 (assume @p578 (forall @t158 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t24))) % 1.14/1.40 (assume @p579 (forall @t402 (=> @t700 (not (and @t699 (not @t698)))))) % 1.14/1.40 (assume @p580 (forall @t325 (=> @t700 @t704))) % 1.14/1.40 (assume @p581 (forall @t708 (=> @t707 (not (and @t706 (not @t705)))))) % 1.14/1.40 (assume @p582 (forall @t325 (=> @t700 (=> @t703 @t702)))) % 1.14/1.40 (assume @p583 (forall @t711 (=> @t707 (=> @t70 @t710)))) % 1.14/1.40 (assume @p584 (forall @t402 (=> @t700 @t100))) % 1.14/1.40 (assume @p585 (forall @t402 (=> @t700 @t86))) % 1.14/1.40 (assume @p586 (forall @t402 (=> @t700 @t698))) % 1.14/1.40 (assume @p587 (forall @t325 (=> @t698 @t704))) % 1.14/1.40 (assume @p588 (forall @t711 (=> @t77 (=> (and @t712 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t67 @t69))) @t710)))) % 1.14/1.40 (assume @p589 (forall @t325 (=> @t698 (=> @t703 @t701)))) % 1.14/1.40 (assume @p590 (forall @t402 (=> @t698 (=> @t699 @t62)))) % 1.14/1.40 (assume @p591 (forall @t481 (=> @t688 (=> @t682 @t495)))) % 1.14/1.40 (assume @p592 (forall @t711 (=> @t705 (=> @t70 @t709)))) % 1.14/1.40 (assume @p593 (forall @t711 (=> @t77 (=> @t712 @t709)))) % 1.14/1.40 (assume @p594 (forall @t708 (=> @t705 (=> @t120 @t707)))) % 1.14/1.40 (assume @p595 (forall @t402 (=> @t698 (or @t700 @t62)))) % 1.14/1.40 (assume @p596 (forall (@list @t18 @t40) (=> @t714 (= @t713 @t41)))) % 1.14/1.40 (assume @p597 (forall @t402 (=> @t62 @t698))) % 1.14/1.40 (assume @p598 (forall @t708 (=> @t120 (=> @t705 @t707)))) % 1.14/1.40 (assume @p599 (forall @t45 (= @t715 (and @t713 @t42)))) % 1.14/1.40 (assume @p600 (forall @t45 (= @t713 (or @t715 @t41)))) % 1.14/1.40 (assume @p601 (forall @t45 (= @t41 (and @t713 @t714)))) % 1.14/1.40 (assume @p602 (forall @t325 (= (tptp.hAPP (tptp.hAPP @t716 @t718) @t58) (tptp.hAPP @t717 (tptp.hAPP (tptp.hAPP @t455 @t49) @t58))))) % 1.14/1.40 (assume @p603 (forall @t325 (= (tptp.hAPP @t717 @t609) (tptp.hAPP (tptp.hAPP @t719 @t718) (tptp.hAPP @t717 @t58))))) % 1.14/1.40 (assume @p604 (forall @t722 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 (tptp.hAPP (tptp.hAPP @t716 @t721) @t468)) (or (not (= @t18 @t720)) @t560)))) % 1.14/1.40 (assume @p605 (forall @t722 (= @t726 (or @t723 @t560)))) % 1.14/1.40 (assume @p606 (forall @t730 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t112) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t729 @t728) @t480)))) % 1.14/1.40 (assume @p607 (forall @t730 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t729 @t728) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t587 @t112) @t479)))) % 1.14/1.40 (assume @p608 (forall @t697 (=> @t543 (=> @t296 (not (= @t693 @t17)))))) % 1.14/1.40 (assume @p609 (forall @t697 (=> @t236 (= @t733 @t731)))) % 1.14/1.40 (assume @p610 (forall @t695 (=> @t235 (= (tptp.hAPP (tptp.hAPP @t670 @t173) @t214) (tptp.hAPP @t732 @t691))))) % 1.14/1.40 (assume @p611 (forall @t734 (=> @t236 (= (tptp.hAPP (tptp.hAPP @t670 @t201) @t214) @t201)))) % 1.14/1.40 (assume @p612 (forall (@list @t214 @t49 @t24 @t16) (=> @t306 (=> @t735 (tptp.c_Rings_Odvd__class_Odvd @t16 @t679 (tptp.hAPP @t674 @t214)))))) % 1.14/1.40 (assume @p613 (forall @t737 (=> @t236 (= (tptp.hAPP @t692 @t588) (tptp.hAPP (tptp.hAPP @t670 @t736) @t214))))) % 1.14/1.40 (assume @p614 (forall @t697 (=> @t131 (= @t739 @t738)))) % 1.14/1.40 (assume @p615 (forall @t233 (=> @t236 (= (tptp.hAPP @t692 @t587) @t66)))) % 1.14/1.40 (assume @p616 (forall @t697 (=> @t216 (=> @t312 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t693))))) % 1.14/1.40 (assume @p617 (forall @t695 (=> @t216 (=> @t74 (=> @t312 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t693 @t691)))))) % 1.14/1.40 (assume @p618 (forall @t697 (=> @t216 (=> @t327 (tptp.c_Orderings_Oord__class_Oless @t16 @t17 @t693))))) % 1.14/1.40 (assume @p619 (forall @t697 (=> @t216 (=> @t740 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t201 @t693))))) % 1.14/1.40 (assume @p620 (forall (@list @t468 @t36 @t16) (=> (and @t743 @t288 @t297 @t298) (= (= @t742 @t17) (and @t37 @t561))))) % 1.14/1.40 (assume @p621 (forall (@list @t468 @t466 @t36 @t16) (=> @t216 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t36) (= (= (tptp.hAPP @t741 @t466) @t742) @t472))))) % 1.14/1.40 (assume @p622 (forall @t233 (=> @t743 (= (tptp.hAPP @t692 @t132) @t201)))) % 1.14/1.40 (assume @p623 (forall @t737 (=> @t236 (= (tptp.hAPP @t692 @t459) (tptp.hAPP (tptp.hAPP @t170 @t736) @t693))))) % 1.14/1.40 (assume @p624 (forall (@list @t66 @t214 @t215 @t16) (=> @t306 (=> @t479 (tptp.c_Rings_Odvd__class_Odvd @t16 @t736 @t693))))) % 1.14/1.40 (assume @p625 (forall (@list @t215 @t214 @t49 @t24 @t16) (=> @t306 (=> @t735 (=> @t526 (tptp.c_Rings_Odvd__class_Odvd @t16 @t679 (tptp.hAPP @t674 @t215))))))) % 1.14/1.40 (assume @p626 (forall (@list @t215 @t69 @t214 @t66 @t16) (=> @t306 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t693 @t69) (=> @t479 (tptp.c_Rings_Odvd__class_Odvd @t16 @t736 @t69)))))) % 1.14/1.40 (assume @p627 (forall @t697 (=> @t131 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t744) @t739)))) % 1.14/1.40 (assume @p628 (forall @t745 (=> @t216 (=> @t694 (=> @t310 @t96))))) % 1.14/1.40 (assume @p629 (forall @t697 (=> @t216 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t731))))) % 1.14/1.40 (assume @p630 (forall @t697 (=> @t216 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t16 @t693 @t731))))) % 1.14/1.40 (assume @p631 (forall @t734 (=> @t748 (and (=> @t563 (= @t747 @t201)) (=> @t564 (= @t747 @t17)))))) % 1.14/1.40 (assume @p632 (forall @t697 (=> @t131 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t738)))) % 1.14/1.40 (assume @p633 (forall @t697 (=> @t749 (= @t744 (tptp.hAPP (tptp.hAPP @t170 (tptp.hAPP (tptp.hAPP @t670 @t542) @t214)) @t693))))) % 1.14/1.40 (assume @p634 (forall @t754 (=> @t216 (=> @t753 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t752 @t751) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t18 @t40)))))) % 1.14/1.40 (assume @p635 (forall @t737 (=> @t216 (=> @t696 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t736 @t693) @t480))))) % 1.14/1.40 (assume @p636 (forall @t758 (=> @t216 (=> @t757 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t16 @t693 @t756)))))) % 1.14/1.40 (assume @p637 (forall @t758 (=> @t216 (=> @t759 (=> @t740 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t693 @t756)))))) % 1.14/1.40 (assume @p638 (forall @t697 (=> @t216 (=> @t327 (=> @t760 (tptp.c_Orderings_Oord__class_Oless @t16 @t731 @t693)))))) % 1.14/1.40 (assume @p639 (forall @t758 (=> @t216 (=> @t757 (=> @t327 (=> @t760 (tptp.c_Orderings_Oord__class_Oless @t16 @t756 @t693))))))) % 1.14/1.40 (assume @p640 (forall @t745 (=> @t216 (=> (= @t693 @t691) (=> @t312 (=> @t310 (=> @t565 @t77))))))) % 1.14/1.40 (assume @p641 (forall @t758 (=> @t216 (=> @t759 (=> @t312 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t66 @t201) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t756 @t693))))))) % 1.14/1.40 (assume @p642 (forall @t737 (=> @t216 (=> @t696 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t736 @t693) @t479))))) % 1.14/1.40 (assume @p643 (forall @t754 (=> @t216 (=> @t753 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t752 @t751) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t18 @t40)))))) % 1.14/1.40 (assume @p644 (forall @t460 (=> @t565 (=> @t688 @t683)))) % 1.14/1.40 (assume @p645 (forall @t763 (=> @t47 (=> @t762 (and @t665 @t761))))) % 1.14/1.40 (assume @p646 (forall @t763 (=> @t47 (=> @t762 @t761)))) % 1.14/1.40 (assume @p647 (forall @t451 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t764))) % 1.14/1.40 (assume @p648 (forall @t481 (=> @t480 @t766))) % 1.14/1.40 (assume @p649 (forall @t451 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t764))) % 1.14/1.40 (assume @p650 (forall (@list @t111) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t767 @t111))) % 1.14/1.40 (assume @p651 (forall @t481 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t215) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t214) (=> @t769 (=> @t768 @t495)))))) % 1.14/1.40 (assume @p652 (forall (@list @t770 @t466 @t462) (=> (not (= @t462 @t720)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t466 @t770) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t772 (tptp.hAPP @t771 @t770)))))) % 1.14/1.40 (assume @p653 (forall @t413 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t18 @t773) (= @t721 @t773)))) % 1.14/1.40 (assume @p654 (forall (@list @t466 @t468 @t462) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t462 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t468 @t772)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t462 @t468)))) % 1.14/1.40 (assume @p655 (forall (@list @t220 @t770 @t18 @t444 @t36) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t36 @t444) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t18 @t770)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t18 (tptp.hAPP (tptp.hAPP @t719 @t220) @t444)) @t770)))))) % 1.14/1.40 (assume @p656 (forall @t708 (=> @t774 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t69 @t66) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t66) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t69)))))) % 1.14/1.40 (assume @p657 (forall @t608 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t775 @t215) (tptp.hAPP @t775 @t214)) (=> (not (= @t111 @t720)) @t769)))) % 1.14/1.40 (assume @p658 (forall @t776 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t58 @t214) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t214) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t58 @t214))))) % 1.14/1.40 (assume @p659 (forall @t481 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t215) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t215 @t214) (not @t768))))) % 1.14/1.40 (assume @p660 (forall (@list @t210 @t112) (=> @t779 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t210 @t112) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t210) @t777))))) % 1.14/1.40 (assume @p661 (forall @t471 (=> (not (= @t466 @t720)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t780 @t466) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t468) @t773))))) % 1.14/1.40 (assume @p662 (forall @t781 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 (tptp.hAPP (tptp.hAPP @t716 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t24)) @t214)))) % 1.14/1.40 (assume @p663 (forall (@list @t466 @t18) (= (= (tptp.hAPP @t725 @t466) @t767) (or @t569 (= @t18 @t767))))) % 1.14/1.40 (assume @p664 (forall @t451 (= (tptp.hAPP (tptp.hAPP @t724 @t767) @t214) @t767))) % 1.14/1.40 (assume @p665 (forall @t784 (and (=> @t778 (= @t782 @t720)) (=> @t779 (and (=> @t783 (= @t782 @t773)) (=> (not @t783) (= @t782 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t773)))))))) % 1.14/1.40 (assume @p666 (not (= @t720 @t773))) % 1.14/1.40 (assume @p667 (forall @t167 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t785 @t58) @t720)))) % 1.14/1.40 (assume @p668 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t773)) % 1.14/1.40 (assume @p669 (forall @t167 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t720 @t58) @t58))) % 1.14/1.40 (assume @p670 (forall @t128 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t124) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t124)))) % 1.14/1.40 (assume @p671 (forall @t167 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t720) @t58))) % 1.14/1.40 (assume @p672 (forall (@list @t447 @t124) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 @t447) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t447) (not (= @t124 @t447)))))) % 1.14/1.40 (assume @p673 (forall @t787 (= @t786 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t447 @t124)))) % 1.14/1.40 (assume @p674 (forall @t128 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t124) @t773) (= @t124 @t720)))) % 1.14/1.40 (assume @p675 (forall @t787 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t447 @t773) @t124) @t788))) % 1.14/1.40 (assume @p676 (forall @t128 (= (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 @t773 @t124) @t124) @t720) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 @t720)))) % 1.14/1.40 (assume @p677 (forall @t167 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t58) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t785)))) % 1.14/1.40 (assume @p678 (forall @t471 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t466) (= (= @t780 @t773) (and (= @t466 @t773) (= @t468 @t773)))))) % 1.14/1.40 (assume @p679 (forall @t438 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t106 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t106 @t773) @t58)))) % 1.14/1.40 (assume @p680 (forall @t114 (=> @t789 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t111) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t775 @t112) (tptp.hAPP @t775 @t113)))))) % 1.14/1.40 (assume @p681 (forall (@list @t58 @t791 @t106 @t792) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t792 @t106) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t791 @t58) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t792 @t791) @t790))))) % 1.14/1.40 (assume @p682 (forall @t481 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t719 @t215) @t214)) @t773) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t215) @t773)))) % 1.14/1.40 (assume @p683 (forall @t114 (=> @t789 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t112 @t111) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t113 @t111))))) % 1.14/1.40 (assume @p684 (forall @t478 (= (= @t795 @t794) @t472))) % 1.14/1.40 (assume @p685 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t719 @t800) @t106) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t799 @t797)))) % 1.14/1.40 (assume @p686 (forall @t187 (= (tptp.hAPP (tptp.hAPP @t719 (tptp.hAPP @t798 @t183)) @t182) (tptp.hAPP @t798 (tptp.hAPP @t796 @t182))))) % 1.14/1.40 (assume @p687 (forall @t481 (= @t802 @t801))) % 1.14/1.40 (assume @p688 (forall @t481 (= @t802 @t803))) % 1.14/1.40 (assume @p689 (forall @t807 (= (tptp.hAPP @t804 @t800) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t806 @t805)))) % 1.14/1.40 (assume @p690 (forall @t787 (= @t786 (or @t788 (= @t447 @t124))))) % 1.14/1.40 (assume @p691 (forall @t481 (= @t801 @t803))) % 1.14/1.40 (assume @p692 (forall @t402 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t49) @t62 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t24)))) % 1.14/1.40 (assume @p693 (forall @t110 (= @t809 (tptp.hAPP @t804 @t58)))) % 1.14/1.40 (assume @p694 (forall @t167 (= (tptp.hAPP @t808 @t773) @t58))) % 1.14/1.40 (assume @p695 (forall @t167 (= (tptp.hAPP (tptp.hAPP @t719 @t773) @t58) @t58))) % 1.14/1.40 (assume @p696 (forall @t458 (not (= @t132 @t765)))) % 1.14/1.40 (assume @p697 (forall (@list @t810) (not (= @t132 (tptp.c_Nat_OSuc @t810))))) % 1.14/1.40 (assume @p698 (forall @t458 (not (= @t765 @t132)))) % 1.14/1.40 (assume @p699 (forall (@list @t811) (not (= (tptp.c_Nat_OSuc @t811) @t132)))) % 1.14/1.40 (assume @p700 (forall @t471 (= (not @t474) @t813))) % 1.14/1.40 (assume @p701 (forall @t471 (= @t815 @t475))) % 1.14/1.40 (assume @p702 (forall @t471 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t812 @t814) @t474))) % 1.14/1.40 (assume @p703 (forall @t818 (=> (not @t508) @t817))) % 1.14/1.40 (assume @p704 (forall @t460 (=> (not @t514) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t765) @t495)))) % 1.14/1.40 (assume @p705 (forall @t481 (=> @t480 @t819))) % 1.14/1.40 (assume @p706 (forall @t481 (=> @t480 (=> (not (= @t765 @t214)) @t820)))) % 1.14/1.40 (assume @p707 (forall @t114 (=> @t512 (=> @t822 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t821 @t111))))) % 1.14/1.40 (assume @p708 (forall @t481 (=> @t819 (=> @t823 @t495)))) % 1.14/1.40 (assume @p709 (forall @t481 (=> @t820 @t480))) % 1.14/1.40 (assume @p710 (forall @t481 (=> @t766 @t480))) % 1.14/1.40 (assume @p711 (forall @t451 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t764 @t214)))) % 1.14/1.40 (assume @p712 (forall @t471 (= (not @t470) @t824))) % 1.14/1.40 (assume @p713 (forall @t471 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t466 @t814) (or @t470 (= @t466 @t814))))) % 1.14/1.40 (assume @p714 (forall @t818 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t814 @t812) @t825))) % 1.14/1.40 (assume @p715 (forall @t481 (=> @t479 @t826))) % 1.14/1.40 (assume @p716 (forall @t481 (=> @t826 (=> (not @t479) (= @t215 @t764))))) % 1.14/1.40 (assume @p717 (forall @t481 (=> @t827 @t479))) % 1.14/1.40 (assume @p718 (forall @t451 (not (= @t214 @t764)))) % 1.14/1.40 (assume @p719 (forall @t451 (not (= @t764 @t214)))) % 1.14/1.40 (assume @p720 (forall (@list @t828 @t829) (= (= (tptp.c_Nat_OSuc @t829) (tptp.c_Nat_OSuc @t828)) (= @t829 @t828)))) % 1.14/1.40 (assume @p721 (forall @t402 (=> (= (tptp.c_Nat_OSuc @t24) (tptp.c_Nat_OSuc @t49)) @t62))) % 1.14/1.40 (assume @p722 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t720) @t720)) % 1.14/1.40 (assume @p723 (forall @t110 (= (tptp.hAPP (tptp.hAPP @t719 @t830) @t106) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t809)))) % 1.14/1.40 (assume @p724 (forall @t167 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t830 @t58) @t720))) % 1.14/1.40 (assume @p725 (forall @t784 (and (=> @t831 (= @t777 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t112))) (=> (not @t831) (= @t777 @t112))))) % 1.14/1.40 (assume @p726 (forall @t734 (=> @t748 (= (tptp.hAPP @t746 @t764) @t17)))) % 1.14/1.40 (assume @p727 (forall @t834 (=> @t306 (= @t833 @t832)))) % 1.14/1.40 (assume @p728 (forall @t834 (=> @t306 (= @t832 @t833)))) % 1.14/1.40 (assume @p729 (forall @t834 (=> @t306 (= (tptp.hAPP @t676 @t24) @t833)))) % 1.14/1.40 (assume @p730 (forall @t697 (=> @t236 (= @t835 @t733)))) % 1.14/1.40 (assume @p731 (forall @t697 (=> @t743 (= @t835 @t731)))) % 1.14/1.40 (assume @p732 (forall @t471 (= @t815 (or @t569 (exists (@list @t836) (and (= @t466 (tptp.c_Nat_OSuc @t836)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t836 @t468))))))) % 1.14/1.40 (assume @p733 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t468 @t767) @t560))) % 1.14/1.40 (assume @p734 (forall @t562 (= @t559 (exists @t15 (= @t468 (tptp.c_Nat_OSuc @t11)))))) % 1.14/1.40 (assume @p735 (forall @t669 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t466 @t767) @t837))) % 1.14/1.40 (assume @p736 (forall @t471 (= (= @t767 @t586) @t839))) % 1.14/1.40 (assume @p737 (forall @t471 (= (= @t586 @t767) @t839))) % 1.14/1.40 (assume @p738 (forall @t840 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t767 @t112) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t767 @t728)))) % 1.14/1.40 (assume @p739 (forall @t471 (= (= @t568 @t767) (and @t837 @t838)))) % 1.14/1.40 (assume @p740 (forall @t471 (= @t474 (exists @t469 (= @t468 (tptp.c_Nat_OSuc @t467)))))) % 1.14/1.40 (assume @p741 (forall @t841 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t112))))) % 1.14/1.40 (assume @p742 (forall @t841 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t112 @t215))))) % 1.14/1.40 (assume @p743 (forall @t818 (= @t508 @t824))) % 1.14/1.40 (assume @p744 (forall @t471 (= @t815 @t470))) % 1.14/1.40 (assume @p745 (forall @t471 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t812 @t468) @t474))) % 1.14/1.40 (assume @p746 (forall @t481 (=> @t479 @t819))) % 1.14/1.40 (assume @p747 (forall @t481 (=> @t480 @t827))) % 1.14/1.40 (assume @p748 (forall @t471 (=> @t470 @t817))) % 1.14/1.40 (assume @p749 (forall @t481 (=> @t827 @t480))) % 1.14/1.40 (assume @p750 (= @t587 @t767)) % 1.14/1.40 (assume @p751 (forall @t478 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t795 @t794) @t474))) % 1.14/1.40 (assume @p752 (forall @t481 (= (tptp.hAPP @t456 @t764) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t588)))) % 1.14/1.40 (assume @p753 (forall @t481 (= (tptp.hAPP (tptp.hAPP @t455 @t765) @t214) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t214 @t588)))) % 1.14/1.40 (assume @p754 (forall @t478 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t795 @t794) @t470))) % 1.14/1.40 (assume @p755 (forall @t451 (= @t764 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t587 @t214)))) % 1.14/1.40 (assume @p756 (forall @t451 (= @t764 @t842))) % 1.14/1.40 (assume @p757 (forall @t745 (=> @t216 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t835 @t843) (=> @t310 @t74))))) % 1.14/1.40 (assume @p758 (forall @t745 (=> @t216 (=> (= @t835 @t843) (=> @t312 (=> @t310 @t77)))))) % 1.14/1.40 (assume @p759 (forall @t697 (=> @t216 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t16 @t201 @t835))))) % 1.14/1.40 (assume @p760 (forall @t83 (=> @t47 (= (= (tptp.hAPP (tptp.hAPP @t670 @t18) @t844) (tptp.hAPP (tptp.hAPP @t670 @t40) @t844)) (or @t41 (= @t18 @t620)))))) % 1.14/1.40 (assume @p761 (forall @t460 (=> @t846 (=> @t845 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t588))))) % 1.14/1.40 (assume @p762 (forall @t460 (=> @t846 (=> @t845 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t214 @t610))))) % 1.14/1.40 (assume @p763 (forall @t460 (=> @t846 (=> @t845 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t767 @t588))))) % 1.14/1.40 (assume @p764 (forall @t471 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t767 @t568) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t767 @t466) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t767 @t468))))) % 1.14/1.40 (assume @p765 (forall @t847 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t716 @t66) @t214) (tptp.hAPP (tptp.hAPP @t716 @t69) @t214)) (=> @t564 @t774)))) % 1.14/1.40 (assume @p766 (forall @t848 (=> @t561 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t716 @t36) @t468) (tptp.hAPP (tptp.hAPP @t716 @t118) @t468)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t36 @t118))))) % 1.14/1.40 (assume @p767 (forall (@list @t214 @t159 @t16) (=> @t216 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t17 @t159) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t159 @t201) (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.hAPP (tptp.hAPP @t670 @t159) @t764) @t159)))))) % 1.14/1.40 (assume @p768 (forall @t697 (=> @t216 (=> @t327 (=> @t760 (tptp.c_Orderings_Oord__class_Oless @t16 @t835 @t201)))))) % 1.14/1.40 (assume @p769 (forall @t158 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t24 @t132))) % 1.14/1.40 (assume @p770 (forall @t847 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t724 @t66) @t214) (tptp.hAPP (tptp.hAPP @t724 @t69) @t214)) (=> @t564 @t705)))) % 1.14/1.40 (assume @p771 (forall @t848 (=> @t561 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t724 @t36) @t468) (tptp.hAPP (tptp.hAPP @t724 @t118) @t468)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t36 @t118))))) % 1.14/1.40 (assume @p772 (forall @t158 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t587 @t24))) % 1.14/1.40 (assume @p773 (forall @t722 (= @t726 (or @t560 @t723)))) % 1.14/1.40 (assume @p774 (forall @t852 (=> @t851 (=> @t850 (=> @t849 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t254 @t773)))))) % 1.14/1.40 (assume @p775 (forall @t852 (=> @t851 (=> @t850 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t159 @t66) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t254)))))) % 1.14/1.40 (assume @p776 (forall @t110 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t854) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t830 @t853)))) % 1.14/1.40 (assume @p777 (forall @t167 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t830) @t58))) % 1.14/1.40 (assume @p778 (forall @t110 (=> @t856 (=> @t855 @t107)))) % 1.14/1.40 (assume @p779 (forall @t114 (=> @t857 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t113 @t111) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t112 @t111))))) % 1.14/1.40 (assume @p780 (forall @t110 (or @t856 @t855))) % 1.14/1.40 (assume @p781 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 @t106))) % 1.14/1.40 (assume @p782 (forall @t110 (= @t854 @t790))) % 1.14/1.40 (assume @p783 (forall @t325 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t49 @t58)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t49 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t58))))) % 1.14/1.40 (assume @p784 (forall @t187 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t800 @t182) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t185 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t182))))) % 1.14/1.40 (assume @p785 (forall @t114 (=> @t857 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t111 @t112) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t111 @t113))))) % 1.14/1.40 (assume @p786 (forall @t859 (= @t858 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t444 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t770))))) % 1.14/1.40 (assume @p787 (forall @t859 (= @t858 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t444) @t770)))) % 1.14/1.40 (assume @p788 (forall @t158 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t844) (or (= @t24 @t132) (= @t24 @t767))))) % 1.14/1.40 (assume @p789 (forall @t872 (=> @t871 (=> @t868 (=> @t866 (=> @t865 (=> @t863 (=> @t862 @t861)))))))) % 1.14/1.40 (assume @p790 (forall @t875 (=> @t874 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t159 @t720) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t69 @t159) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t69 @t864) @t873)))))) % 1.14/1.40 (assume @p791 (forall @t872 (=> @t871 (=> @t877 (=> @t876 (=> @t849 (=> @t863 (=> @t862 @t873)))))))) % 1.14/1.40 (assume @p792 (forall @t875 (=> @t874 (=> @t865 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t864 @t69) (=> @t866 @t861)))))) % 1.14/1.40 (assume @p793 (forall @t878 (=> @t868 (=> @t865 (=> @t863 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t860 @t720)))))) % 1.14/1.40 (assume @p794 (forall @t878 (=> @t877 (=> @t876 (=> @t863 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t860)))))) % 1.14/1.40 (assume @p795 (forall @t781 (=> @t879 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 (tptp.hAPP @t717 @t214))))) % 1.14/1.40 (assume @p796 (forall @t402 (=> @t879 (=> @t880 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 (tptp.hAPP (tptp.hAPP @t719 @t24) @t49)))))) % 1.14/1.40 (assume @p797 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t720)) % 1.14/1.40 (assume @p798 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t773)) % 1.14/1.40 (assume @p799 (forall @t402 (=> @t879 (=> @t880 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t49)))))) % 1.14/1.40 (assume @p800 (forall @t27 (=> @t743 (= @t670 (tptp.c_Power_Opower_Opower @t16 @t201 @t170))))) % 1.14/1.40 (assume @p801 (forall @t158 (=> @t668 (= (tptp.c_RComplete_Onatfloor @t667) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t881 @t587))))) % 1.14/1.40 (assume @p802 (= (tptp.c_RComplete_Onatfloor @t122) @t587)) % 1.14/1.40 (assume @p803 (forall @t402 (=> @t324 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t881 (tptp.c_RComplete_Onatfloor @t49))))) % 1.14/1.40 (assume @p804 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t881))) % 1.14/1.40 (assume @p805 (= (tptp.c_RComplete_Onatfloor @t13) @t132)) % 1.14/1.40 (assume @p806 (forall (@list @t36 @t883 @t882 @t16) (= (tptp.hAPP @t884 @t132) @t882))) % 1.14/1.40 (assume @p807 (forall (@list @t468 @t36 @t883 @t882 @t16) (= (tptp.hAPP @t884 @t814) (tptp.hAPP (tptp.hAPP @t883 @t36) (tptp.hAPP @t884 @t468))))) % 1.14/1.40 (assume @p808 (forall @t158 (=> @t686 (= @t881 @t132)))) % 1.14/1.40 (assume @p809 (forall @t413 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t587 @t885) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t122 @t18)))) % 1.14/1.40 (assume @p810 (forall @t708 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t66) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t69) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t455 @t886) (tptp.c_RComplete_Onatfloor @t69)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t121 @t66) @t69))))))) % 1.14/1.40 (assume @p811 (forall @t889 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t887 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t888) (= @t666 @t842))))) % 1.14/1.40 (assume @p812 (forall (@list @t462 @t505 @t444) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t720 @t444) (=> (forall @t6 (=> @t660 (tptp.hBOOL (tptp.hAPP @t505 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t444))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t720 @t462) (forall @t6 (=> @t660 (tptp.hBOOL (tptp.hAPP @t505 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t771 @t444))))))))))) % 1.14/1.40 (assume @p813 (forall @t451 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t887))) % 1.14/1.40 (assume @p814 (forall @t451 (= (tptp.c_RComplete_Onatfloor @t887) @t214))) % 1.14/1.40 (assume @p815 (forall @t818 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t891 @t890) @t825))) % 1.14/1.40 (assume @p816 (forall @t481 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t588) (tptp.hAPP (tptp.hAPP @t121 @t892) @t887)))) % 1.14/1.40 (assume @p817 (forall @t481 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t459) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t892 @t887)))) % 1.14/1.40 (assume @p818 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t587) @t122)) % 1.14/1.40 (assume @p819 (forall @t481 (= @t894 @t893))) % 1.14/1.40 (assume @p820 (forall @t481 (= @t893 @t894))) % 1.14/1.40 (assume @p821 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t666)))) % 1.14/1.40 (assume @p822 (forall @t818 (= (= @t891 @t890) @t816))) % 1.14/1.40 (assume @p823 (forall @t451 (= (tptp.c_RComplete_Onatceiling @t887) @t214))) % 1.14/1.40 (assume @p824 (forall @t818 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t891 @t890) @t508))) % 1.14/1.40 (assume @p825 (forall @t451 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t887 @t13)))) % 1.14/1.40 (assume @p826 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t132) @t13)) % 1.14/1.40 (assume @p827 (forall @t562 (= (= @t891 @t13) @t560))) % 1.14/1.40 (assume @p828 (forall @t158 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t895) @t895))) % 1.14/1.40 (assume @p829 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t891 @t13) @t560))) % 1.14/1.40 (assume @p830 (forall @t451 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t896))) % 1.14/1.40 (assume @p831 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t767) @t122)) % 1.14/1.40 (assume @p832 (forall @t451 (= @t896 @t888))) % 1.14/1.40 (assume @p833 (forall @t158 (=> @t668 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t897 @t24)))) % 1.14/1.40 (assume @p834 (forall @t898 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t895 @t66) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t886)))) % 1.14/1.40 (assume @p835 (forall @t898 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t899) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t666 @t66)))) % 1.14/1.40 (assume @p836 (forall @t781 (=> (= @t24 @t897) (= (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t677 @t24) @t214)) (tptp.hAPP (tptp.hAPP @t724 @t881) @t214))))) % 0.61/1.40 (assume @p837 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t891) @t559))) % 0.61/1.40 (assume @p838 (forall @t818 (= @t508 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t891 @t122) @t890)))) % 0.61/1.40 (assume @p839 (forall @t818 (= @t825 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t891 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t890 @t122))))) % 0.61/1.40 (assume @p840 (forall @t545 (=> @t901 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t36 @t885) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t900 @t18))))) % 0.61/1.40 (assume @p841 (forall @t156 (=> @t22 (= @t155 (exists @t591 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t150 @t902))))))) % 0.61/1.40 (assume @p842 (forall @t156 (=> @t22 (= @t155 (exists @t591 (forall @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t150 @t902))))))) % 0.61/1.40 (assume @p843 (forall @t545 (=> @t901 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t689 @t36) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 @t900))))) % 0.61/1.40 (assume @p844 (forall @t158 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t897 @t122)))) % 0.61/1.40 (assume @p845 (forall @t906 (=> @t905 (= @t904 (exists @t591 (forall @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t903 @t902))))))) % 0.61/1.40 (assume @p846 (forall @t906 (=> @t905 (= @t904 (exists @t591 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t903 @t902))))))) % 0.61/1.40 (assume @p847 (forall @t781 (=> @t668 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t887) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t881 @t214))))) % 0.61/1.40 (assume @p848 (forall @t898 (=> @t668 (= (tptp.c_RComplete_Onatfloor @t907) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t881 @t66))))) % 0.61/1.40 (assume @p849 (forall @t776 (=> (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 @t58) @t587) @t214) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t58 @t887)))) % 0.61/1.40 (assume @p850 (forall @t889 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t887 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t888) (= @t881 @t214))))) % 0.61/1.40 (assume @p851 (forall @t898 (=> @t668 (= (tptp.c_RComplete_Onatceiling @t907) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t666 @t66))))) % 0.61/1.40 (assume @p852 (forall @t781 (=> @t668 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t121 @t887) @t24) @t122) (tptp.hAPP (tptp.hAPP @t677 @t667) @t214))))) % 0.61/1.40 (assume @p853 (forall @t161 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t159) (exists @t151 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t147) @t159) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t159 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t147)))))))) % 0.61/1.40 (assume @p854 (forall @t909 (=> @t565 (=> @t647 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t3) (= (tptp.hAPP (tptp.hAPP @t677 @t3) @t214) @t66) (forall (@list @t908) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t908) (= (tptp.hAPP (tptp.hAPP @t677 @t908) @t214) @t66)) (= @t908 @t3))))))))) % 0.61/1.40 (assume @p855 (forall @t909 (=> @t565 (=> @t647 (exists (@list @t910) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t910) (= (tptp.hAPP (tptp.hAPP @t677 @t910) @t214) @t66))))))) % 0.61/1.40 (assume @p856 (forall (@list @t24 @t58 @t210) (=> @t912 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t911))))) % 0.61/1.40 (assume @p857 (forall @t919 (=> @t358 (= @t918 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t915 @t444))))) % 0.61/1.40 (assume @p858 (forall @t919 (=> @t358 (= @t918 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t220 @t920))))) % 0.61/1.40 (assume @p859 (forall @t919 (=> @t358 (= @t921 (tptp.c_Orderings_Oord__class_Oless @t16 @t220 @t920))))) % 0.61/1.40 (assume @p860 (forall @t919 (=> @t358 (= @t921 (tptp.c_Orderings_Oord__class_Oless @t16 @t915 @t444))))) % 0.61/1.40 (assume @p861 (forall @t26 (=> @t749 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t408 @t201) (tptp.hAPP (tptp.hAPP @t170 (tptp.c_Groups_Oplus__class_Oplus @t16 @t24 @t201)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t24 @t201)))))) % 0.61/1.40 (assume @p862 (forall (@list @t770 @t922 @t444 @t16) (=> (and @t518 @t657) (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t444 @t922) (forall (@list @t3 @t465) (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t444 (tptp.c_Groups_Oplus__class_Oplus @t16 @t3 @t770)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t444 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t3 (tptp.hAPP (tptp.hAPP @t170 @t465) @t922)) @t770)))))))) % 0.61/1.40 (assume @p863 (forall @t276 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t925) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t924) (tptp.c_Groups_Oabs__class_Oabs @t16 @t923)))))) % 0.61/1.40 (assume @p864 (forall @t99 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t927 @t164)))) % 0.61/1.40 (assume @p865 (forall (@list @t548 @t36 @t18 @t16) (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t18 @t36)) @t548) (and (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t36 @t548) @t18) (tptp.c_Orderings_Oord__class_Oless @t16 @t18 (tptp.c_Groups_Oplus__class_Oplus @t16 @t36 @t548))))))) % 0.61/1.40 (assume @p866 (forall @t99 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t930) @t928)))) % 0.61/1.40 (assume @p867 (forall @t292 (=> @t527 (= @t264 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t914 @t17))))) % 0.61/1.40 (assume @p868 (forall @t935 (=> @t536 (= @t934 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t194 @t933) @t932))))) % 0.61/1.40 (assume @p869 (forall @t935 (=> @t174 (= @t934 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t931 @t933) @t932) (tptp.hAPP @t171 @t933)))))) % 0.61/1.40 (assume @p870 (forall @t919 (=> @t536 (= @t936 (= @t915 @t444))))) % 0.61/1.40 (assume @p871 (forall @t919 (=> @t536 (= @t936 (= @t220 @t920))))) % 0.61/1.40 (assume @p872 (forall @t233 (=> @t522 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t17 @t66) @t519)))) % 0.61/1.40 (assume @p873 (forall @t99 (=> @t522 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t66 @t529) @t165)))) % 0.61/1.40 (assume @p874 (forall @t53 (=> @t452 (= @t937 (tptp.c_Groups_Oplus__class_Oplus @t16 @t24 @t618))))) % 0.61/1.40 (assume @p875 (forall @t99 (=> @t520 @t938))) % 0.61/1.40 (assume @p876 (forall @t99 (=> @t522 @t938))) % 0.61/1.40 (assume @p877 (forall @t99 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t939) @t927)))) % 0.61/1.40 (assume @p878 (forall @t99 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t939 @t927)))) % 0.61/1.40 (assume @p879 (forall @t99 (=> @t166 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t939 @t941)))) % 0.61/1.40 (assume @p880 (forall @t110 (= @t943 @t942))) % 0.61/1.40 (assume @p881 (forall @t110 (= @t942 @t943))) % 0.61/1.40 (assume @p882 (forall @t99 (=> @t520 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t926) @t940)))) % 0.61/1.40 (assume @p883 (forall @t99 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t930 @t928)))) % 0.61/1.40 (assume @p884 (forall @t99 (=> @t522 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t165 @t69) @t66)))) % 0.61/1.40 (assume @p885 (forall @t99 (=> @t522 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t926 @t69) @t66)))) % 0.61/1.40 (assume @p886 (forall @t446 (=> @t527 (=> @t944 (= @t264 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t220 @t444)))))) % 0.61/1.40 (assume @p887 (forall @t65 (=> @t452 (=> @t735 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t24 @t58) (tptp.c_Rings_Odvd__class_Odvd @t16 @t24 (tptp.c_Groups_Ominus__class_Ominus @t16 @t49 @t58))))))) % 0.61/1.40 (assume @p888 (forall @t608 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t111 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t215 @t214)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t111 @t214) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t111 @t215))))) % 0.61/1.40 (assume @p889 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t462 @t463) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t462 @t463) @t720)))) % 0.61/1.40 (assume @p890 (forall (@list @t18 @t945 @t632 @t54 @t16) (=> (tptp.class_Groups_Ominus @t16) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t634 @t632 @t945) @t18) (tptp.c_Groups_Ominus__class_Ominus @t16 @t633 (tptp.hAPP @t945 @t18)))))) % 0.61/1.40 (assume @p891 (forall @t99 (=> @t22 (= @t928 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t940))))) % 0.61/1.40 (assume @p892 (forall @t301 (=> @t518 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t946) @t24) (tptp.c_Groups_Ominus__class_Ominus @t16 @t300 @t299))))) % 0.61/1.40 (assume @p893 (forall @t258 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t29 @t145 @t256) (tptp.c_Polynomial_OpCons @t16 @t926 @t946))))) % 0.61/1.40 (assume @p894 (forall @t446 (=> @t520 (=> @t944 (= @t119 @t445))))) % 0.61/1.40 (assume @p895 (forall @t292 (=> @t527 (= @t279 (tptp.c_Orderings_Oord__class_Oless @t16 @t914 @t17))))) % 0.61/1.40 (assume @p896 (forall @t99 (=> @t166 (= @t927 @t941)))) % 0.61/1.40 (assume @p897 (forall @t175 (=> @t174 (= (tptp.hAPP @t171 (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t169)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t173 @t172))))) % 0.61/1.40 (assume @p898 (forall @t181 (=> @t174 (= (tptp.hAPP @t177 @t937) (tptp.c_Groups_Ominus__class_Ominus @t16 @t179 @t178))))) % 0.61/1.40 (assume @p899 (forall @t190 (=> @t174 (= (tptp.hAPP (tptp.hAPP @t170 (tptp.c_Groups_Ominus__class_Ominus @t16 @t66 @t188)) @t69) (tptp.c_Groups_Ominus__class_Ominus @t16 @t173 @t189))))) % 0.61/1.40 (assume @p900 (forall @t196 (=> @t174 (= (tptp.hAPP @t947 @t191) (tptp.c_Groups_Ominus__class_Ominus @t16 @t195 @t193))))) % 0.61/1.40 (assume @p901 (forall @t446 (=> @t527 (=> @t944 (= @t279 (tptp.c_Orderings_Oord__class_Oless @t16 @t220 @t444)))))) % 0.61/1.40 (assume @p902 (forall @t233 (=> @t522 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t66 @t17) @t66)))) % 0.61/1.40 (assume @p903 (forall @t233 (=> @t522 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t66 @t66) @t17)))) % 0.61/1.40 (assume @p904 (forall @t292 (=> @t520 (= @t119 @t948)))) % 0.61/1.40 (assume @p905 (forall @t292 (=> @t522 (= @t948 @t119)))) % 0.61/1.40 (assume @p906 (forall @t807 (= (tptp.hAPP @t804 @t949) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t806 @t805)))) % 0.61/1.40 (assume @p907 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t719 @t949) @t106) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t799 @t797)))) % 0.61/1.40 (assume @p908 (forall @t99 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t928 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t323 @t929))))) % 0.61/1.40 (assume @p909 (forall @t787 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t447 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t124 @t773)) @t788))) % 0.61/1.40 (assume @p910 (forall @t276 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 @t925) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 @t924) (tptp.c_RealVector_Onorm__class_Onorm @t16 @t923)))))) % 0.61/1.40 (assume @p911 (forall @t53 (=> @t452 (= (tptp.c_Groups_Ominus__class_Ominus @t16 (tptp.hAPP @t671 @t844) (tptp.hAPP @t674 @t844)) (tptp.hAPP @t947 @t180))))) % 0.61/1.40 (assume @p912 (forall (@list @t58 @t24 @t210) (=> @t912 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t24 @t911) @t58)))) % 0.61/1.40 (assume @p913 (forall (@list @t148 @t950 @t16 @t54) (=> (and @t905 @t75) (=> (forall @t151 (=> @t952 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t54 (tptp.c_Groups_Ominus__class_Ominus @t54 @t951 @t149)) @t122))) (forall @t151 (=> @t952 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t903 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t122 (tptp.c_RealVector_Onorm__class_Onorm @t54 @t951))))))))) % 0.61/1.40 (assume @p914 (forall (@list @t24 @t49) (and (=> @t954 (= @t953 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t24 @t49))) (=> (not @t954) (= @t953 @t720))))) % 0.61/1.40 (assume @p915 (forall @t402 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t24 @t49) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t24 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t49))))) % 0.61/1.40 (assume @p916 (forall @t83 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t18 @t40) (or @t41 (tptp.c_Polynomial_Opos__poly @t16 (tptp.c_Groups_Ominus__class_Ominus @t29 @t40 @t18))))))) % 0.61/1.40 (assume @p917 (forall @t478 (=> @t958 (=> @t957 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t956 @t955) @t470))))) % 0.61/1.40 (assume @p918 (forall @t608 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t215) (=> @t501 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t111) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t111)) @t959))))) % 0.61/1.40 (assume @p919 (forall @t478 (=> @t958 (=> @t957 (= (= @t956 @t955) @t472))))) % 0.61/1.40 (assume @p920 (forall @t840 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t112 @t214) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t112)) @t112)))) % 0.61/1.40 (assume @p921 (forall @t960 (=> @t479 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t497) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t497))))) % 0.61/1.40 (assume @p922 (forall @t960 (=> @t479 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t962 @t961)))) % 0.61/1.40 (assume @p923 (forall @t481 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t959 @t215))) % 0.61/1.40 (assume @p924 (forall @t481 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t459 @t214) @t215))) % 0.61/1.40 (assume @p925 (forall @t460 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t214) @t215))) % 0.61/1.40 (assume @p926 (forall @t114 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t112 @t113) @t111) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t112 @t486)))) % 0.61/1.40 (assume @p927 (forall @t608 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t963 @t510) @t959))) % 0.61/1.40 (assume @p928 (forall @t504 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t502 @t602) @t959))) % 0.61/1.40 (assume @p929 (forall @t608 (=> @t965 (=> @t687 @t964)))) % 0.61/1.40 (assume @p930 (forall @t45 (= @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t18 @t40) @t13)))) % 0.61/1.40 (assume @p931 (forall @t818 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t468 @t466)) @t474))) % 0.61/1.40 (assume @p932 (forall @t460 (=> @t565 (=> @t683 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t959 @t215))))) % 0.61/1.40 (assume @p933 (forall @t481 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t959 @t765))) % 0.61/1.40 (assume @p934 (forall @t460 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t461) @t132))) % 0.61/1.40 (assume @p935 (forall @t471 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t466 @t468) @t132) @t470))) % 0.61/1.40 (assume @p936 (forall @t481 (=> @t479 @t966))) % 0.61/1.40 (assume @p937 (forall @t460 (=> @t526 (= @t967 (tptp.c_Nat_OSuc @t959))))) % 0.61/1.40 (assume @p938 (forall @t972 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t969 @t971) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t970 @t968)))) % 0.61/1.40 (assume @p939 (forall @t481 (=> @t823 @t973))) % 0.61/1.40 (assume @p940 (forall @t478 (=> @t958 (=> @t957 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t956 @t955) @t474))))) % 0.61/1.40 (assume @p941 (forall @t711 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t69) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t66) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t66 @t67) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t69 @t67)))))) % 0.61/1.40 (assume @p942 (forall @t608 (=> @t964 (=> @t687 (=> @t526 @t965))))) % 0.61/1.40 (assume @p943 (forall @t608 (=> @t964 (=> @t965 (=> @t526 @t687))))) % 0.61/1.40 (assume @p944 (forall @t978 (=> @t977 (= @t976 @t975)))) % 0.61/1.40 (assume @p945 (forall @t978 (=> @t977 (= @t975 @t976)))) % 0.61/1.40 (assume @p946 (forall @t978 (=> @t977 (= @t980 @t979)))) % 0.61/1.40 (assume @p947 (forall @t972 (=> @t982 (= (= @t981 @t462) (= @t968 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t462 @t969)))))) % 0.61/1.40 (assume @p948 (forall @t460 (=> @t526 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t959 @t214) @t215)))) % 0.61/1.40 (assume @p949 (forall (@list @t969 @t968 @t462) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t462 @t968) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t969 @t971) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t970 @t968))))) % 0.61/1.40 (assume @p950 (forall @t978 (=> @t977 (= @t979 @t980)))) % 0.61/1.40 (assume @p951 (forall @t460 (=> @t526 @t973))) % 0.61/1.40 (assume @p952 (forall (@list @t215 @t214 @t111) (=> @t501 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t111))))) % 0.61/1.40 (assume @p953 (forall (@list @t969 @t462 @t968) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t971 @t969) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t968 @t970)))) % 0.61/1.40 (assume @p954 (forall @t978 (=> @t977 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t112 @t974) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t487 @t113))))) % 0.61/1.40 (assume @p955 (forall @t481 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t764) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t587) @t214)))) % 0.61/1.40 (assume @p956 (forall @t451 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t764 @t587) @t214))) % 0.61/1.40 (assume @p957 (forall @t402 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t24 @t49) @t549))) % 0.61/1.40 (assume @p958 (forall (@list @t317 @t159) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t159 @t317) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t159 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t317))))) % 0.61/1.40 (assume @p959 (forall @t417 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t29 @t30 @t254) (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t254))))) % 0.61/1.40 (assume @p960 (forall @t601 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t967 (tptp.c_Nat_OSuc @t111)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t959 @t111)))) % 0.61/1.40 (assume @p961 (forall @t481 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t765 @t764) @t959))) % 0.61/1.40 (assume @p962 (forall @t418 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t29 @t141 @t30) @t141)))) % 0.61/1.40 (assume @p963 (forall @t960 (=> @t480 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t215 @t497) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t962 @t961))))) % 0.61/1.40 (assume @p964 (forall (@list @t214 @t111 @t113) (=> @t822 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t214) @t111)))) % 0.61/1.40 (assume @p965 (forall @t481 (=> @t966 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t215) @t132) @t495)))) % 0.61/1.40 (assume @p966 (forall @t458 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t215) @t132))) % 0.61/1.40 (assume @p967 (forall @t458 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t132) @t215))) % 0.61/1.40 (assume @p968 (forall @t451 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t132 @t214) @t132))) % 0.61/1.40 (assume @p969 (forall @t608 (= (tptp.hAPP @t492 @t959) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t607 @t606)))) % 0.61/1.40 (assume @p970 (forall @t601 (= (tptp.hAPP (tptp.hAPP @t455 @t959) @t111) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t600 @t599)))) % 0.61/1.40 (assume @p971 (forall @t460 (=> @t526 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t959) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t892 @t887))))) % 0.61/1.40 (assume @p972 (forall @t985 (=> @t984 (= (tptp.c_RComplete_Onatceiling @t983) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t666 @t66))))) % 0.61/1.40 (assume @p973 (forall @t985 (=> @t984 (= (tptp.c_RComplete_Onatfloor @t983) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t881 @t66))))) % 0.61/1.40 (assume @p974 (forall @t99 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t930 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t165))))) % 0.61/1.40 (assume @p975 (forall (@list @t112 @t214) (=> @t565 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t821) @t214)))) % 0.61/1.40 (assume @p976 (forall @t451 (=> @t565 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t767)) @t214)))) % 0.61/1.40 (assume @p977 (forall @t992 (= @t991 (and (=> @t990 @t640) (forall @t989 (=> @t988 @t987)))))) % 0.61/1.40 (assume @p978 (forall @t992 (= @t991 (not (or (and @t990 @t641) (exists @t989 (and @t988 (not @t987)))))))) % 0.61/1.40 (assume @p979 (forall @t995 (=> @t977 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t994 @t215) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t993 @t963))))) % 0.61/1.40 (assume @p980 (forall @t995 (=> @t977 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t994) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t502 @t993))))) % 0.61/1.40 (assume @p981 (forall (@list @t468 @t466 @t996 @t968 @t969) (=> @t982 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t455 @t969) @t996) @t466) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t455 @t968) @t996) @t468)) (= @t466 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t455 @t981) @t996) @t468)))))) % 0.61/1.40 (assume @p982 (forall @t1000 (=> @t999 (tptp.class_Groups_Ocancel__comm__monoid__add @t998)))) % 0.61/1.40 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p987 (forall @t1003 (=> (tptp.class_Lattices_Oboolean__algebra @t997) (tptp.class_Lattices_Oboolean__algebra @t1002)))) % 0.61/1.40 (assume @p988 (forall @t1003 (=> (tptp.class_Orderings_Opreorder @t997) (tptp.class_Orderings_Opreorder @t1002)))) % 0.61/1.40 (assume @p989 (forall @t1003 (=> (tptp.class_Orderings_Oorder @t997) (tptp.class_Orderings_Oorder @t1002)))) % 0.61/1.40 (assume @p990 (forall @t1003 (=> (tptp.class_Orderings_Oord @t997) (tptp.class_Orderings_Oord @t1002)))) % 0.61/1.40 (assume @p991 (forall @t1003 (=> (tptp.class_Groups_Ouminus @t997) (tptp.class_Groups_Ouminus @t1002)))) % 0.61/1.40 (assume @p992 (forall @t1003 (=> (tptp.class_Groups_Ominus @t997) (tptp.class_Groups_Ominus @t1002)))) % 0.61/1.40 (assume @p993 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p994 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p996 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p997 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p998 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p999 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1000 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1001 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1002 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1003 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1004 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1005 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1006 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1007 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1008 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1009 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1010 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1011 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1012 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1013 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1014 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1015 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1016 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1017 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1018 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1019 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1020 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1021 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1022 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1023 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1024 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1025 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1026 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1027 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1028 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1029 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1030 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1031 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1032 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1033 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1034 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1035 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1036 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1037 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1038 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1039 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1040 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1041 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1042 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1043 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1044 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1045 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1046 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1047 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1048 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1049 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1050 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1051 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1052 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 0.61/1.40 (assume @p1053 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1054 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1055 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1056 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1057 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1058 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1059 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1060 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1061 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1062 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1063 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1064 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1065 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1066 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1068 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1069 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1070 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1073 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1074 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1075 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1076 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1077 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1078 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1079 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1080 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1081 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1082 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1083 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1084 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1085 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1086 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1087 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1088 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1089 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 0.61/1.40 (assume @p1090 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 0.61/1.40 (assume @p1091 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.61/1.40 (assume @p1092 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.61/1.40 (assume @p1093 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.61/1.40 (assume @p1094 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 0.61/1.40 (assume @p1095 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.61/1.40 (assume @p1096 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1097 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1098 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1099 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1100 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1101 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1102 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1103 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1104 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1105 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1106 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1107 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1108 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1109 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1110 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1111 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1112 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1113 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1114 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1115 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1116 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1117 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1118 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1119 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1120 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1121 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1122 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1123 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1124 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1125 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1126 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1127 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1128 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1129 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1130 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1131 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1132 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1133 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1134 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1135 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1136 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1137 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1138 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1139 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1140 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1141 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1142 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1143 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1144 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1145 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1146 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1147 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1148 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1149 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1150 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1151 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1152 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1153 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1154 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1155 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1156 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1157 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1158 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1159 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 0.61/1.40 (assume @p1160 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1161 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1162 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1163 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1164 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1165 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1166 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1167 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1168 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1169 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1170 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1171 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1172 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1173 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1174 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1175 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1176 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1177 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1178 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1179 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1180 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1181 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1182 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1183 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1184 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1185 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1186 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1187 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1188 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1189 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1190 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1191 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1192 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1193 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1194 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1195 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1196 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 0.61/1.40 (assume @p1197 (forall @t1000 (=> @t1004 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t998)))) % 0.61/1.40 (assume @p1198 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t998)))) % 0.61/1.40 (assume @p1199 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t998)))) % 0.61/1.40 (assume @p1200 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__comm__semiring__strict @t998)))) % 0.61/1.40 (assume @p1201 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__semiring__1__strict @t998)))) % 0.61/1.40 (assume @p1202 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__semiring__strict @t998)))) % 0.61/1.40 (assume @p1203 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oordered__ab__semigroup__add @t998)))) % 0.61/1.40 (assume @p1204 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oordered__ab__group__add__abs @t998)))) % 0.61/1.40 (assume @p1205 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oordered__comm__monoid__add @t998)))) % 0.61/1.40 (assume @p1206 (forall @t1000 (=> @t1005 (tptp.class_Groups_Olinordered__ab__group__add @t998)))) % 0.61/1.40 (assume @p1207 (forall @t1000 (=> @t999 (tptp.class_Groups_Ocancel__ab__semigroup__add @t998)))) % 0.61/1.40 (assume @p1208 (forall @t1000 (=> @t1004 (tptp.class_Rings_Oring__1__no__zero__divisors @t998)))) % 0.61/1.40 (assume @p1209 (forall @t1000 (=> @t1005 (tptp.class_Rings_Oordered__cancel__semiring @t998)))) % 0.61/1.40 (assume @p1210 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__ring__strict @t998)))) % 0.61/1.40 (assume @p1211 (forall @t1000 (=> @t1004 (tptp.class_Rings_Oring__no__zero__divisors @t998)))) % 0.61/1.40 (assume @p1212 (forall @t1000 (=> @t1005 (tptp.class_Rings_Oordered__comm__semiring @t998)))) % 0.61/1.40 (assume @p1213 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__semiring__1 @t998)))) % 0.61/1.40 (assume @p1214 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oordered__ab__group__add @t998)))) % 0.61/1.40 (assume @p1215 (forall @t1000 (=> @t999 (tptp.class_Groups_Ocancel__semigroup__add @t998)))) % 0.61/1.40 (assume @p1216 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__semiring @t998)))) % 0.61/1.40 (assume @p1217 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__semidom @t998)))) % 0.61/1.40 (assume @p1218 (forall @t1000 (=> @t1006 (tptp.class_Groups_Oab__semigroup__mult @t998)))) % 0.61/1.40 (assume @p1219 (forall @t1000 (=> @t1007 (tptp.class_Groups_Ocomm__monoid__mult @t998)))) % 0.61/1.40 (assume @p1220 (forall @t1000 (=> @t1008 (tptp.class_Groups_Oab__semigroup__add @t998)))) % 0.61/1.40 (assume @p1221 (forall @t1000 (=> @t1005 (tptp.class_Rings_Oordered__semiring @t998)))) % 0.61/1.40 (assume @p1222 (forall @t1000 (=> @t1005 (tptp.class_Rings_Oordered__ring__abs @t998)))) % 0.61/1.40 (assume @p1223 (forall @t1000 (=> @t1004 (tptp.class_Rings_Ono__zero__divisors @t998)))) % 0.61/1.40 (assume @p1224 (forall @t1000 (=> @t1008 (tptp.class_Groups_Ocomm__monoid__add @t998)))) % 0.61/1.40 (assume @p1225 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__ring @t998)))) % 0.61/1.40 (assume @p1226 (forall @t1000 (=> @t1005 (tptp.class_Rings_Olinordered__idom @t998)))) % 0.61/1.40 (assume @p1227 (forall @t1000 (=> @t1007 (tptp.class_Rings_Ocomm__semiring__1 @t998)))) % 0.61/1.40 (assume @p1228 (forall @t1000 (=> @t1006 (tptp.class_Rings_Ocomm__semiring__0 @t998)))) % 0.61/1.40 (assume @p1229 (forall @t1000 (=> @t1006 (tptp.class_Rings_Ocomm__semiring @t998)))) % 0.61/1.40 (assume @p1230 (forall @t1000 (=> @t1009 (tptp.class_Groups_Oab__group__add @t998)))) % 0.61/1.40 (assume @p1231 (forall @t1000 (=> @t1007 (tptp.class_Rings_Ozero__neq__one @t998)))) % 0.61/1.40 (assume @p1232 (forall @t1000 (=> @t1005 (tptp.class_Rings_Oordered__ring @t998)))) % 0.61/1.40 (assume @p1233 (forall @t1000 (=> @t1005 (tptp.class_Orderings_Opreorder @t998)))) % 0.61/1.40 (assume @p1234 (forall @t1000 (=> @t1005 (tptp.class_Orderings_Olinorder @t998)))) % 0.61/1.40 (assume @p1235 (forall @t1000 (=> @t1007 (tptp.class_Groups_Omonoid__mult @t998)))) % 0.61/1.40 (assume @p1236 (forall @t1000 (=> @t1010 (tptp.class_Rings_Ocomm__ring__1 @t998)))) % 0.61/1.40 (assume @p1237 (forall @t1000 (=> @t1008 (tptp.class_Groups_Omonoid__add @t998)))) % 0.61/1.40 (assume @p1238 (forall @t1000 (=> @t1006 (tptp.class_Rings_Osemiring__0 @t998)))) % 0.61/1.40 (assume @p1239 (forall @t1000 (=> @t1009 (tptp.class_Groups_Ogroup__add @t998)))) % 0.61/1.40 (assume @p1240 (forall @t1000 (=> @t1006 (tptp.class_Rings_Omult__zero @t998)))) % 0.61/1.40 (assume @p1241 (forall @t1000 (=> @t1011 (tptp.class_Rings_Ocomm__ring @t998)))) % 0.61/1.40 (assume @p1242 (forall @t1000 (=> @t1005 (tptp.class_Orderings_Oorder @t998)))) % 0.61/1.40 (assume @p1243 (forall @t1000 (=> @t1005 (tptp.class_Int_Oring__char__0 @t998)))) % 0.61/1.40 (assume @p1244 (forall @t1000 (=> @t1006 (tptp.class_Rings_Osemiring @t998)))) % 0.61/1.40 (assume @p1245 (forall @t1000 (=> @t1005 (tptp.class_Orderings_Oord @t998)))) % 0.61/1.40 (assume @p1246 (forall @t1000 (=> @t1009 (tptp.class_Groups_Ouminus @t998)))) % 0.61/1.40 (assume @p1247 (forall @t1000 (=> @t1005 (tptp.class_Groups_Osgn__if @t998)))) % 0.61/1.40 (assume @p1248 (forall @t1000 (=> @t1005 (tptp.class_Groups_Oabs__if @t998)))) % 0.61/1.40 (assume @p1249 (forall @t1000 (=> @t1010 (tptp.class_Rings_Oring__1 @t998)))) % 0.61/1.40 (assume @p1250 (forall @t1000 (=> @t1009 (tptp.class_Groups_Ominus @t998)))) % 0.61/1.40 (assume @p1251 (forall @t1000 (=> @t1007 (tptp.class_Power_Opower @t998)))) % 0.61/1.40 (assume @p1252 (forall @t1000 (=> (tptp.class_Groups_Ozero @t997) (tptp.class_Groups_Ozero @t998)))) % 0.61/1.40 (assume @p1253 (forall @t1000 (=> @t1011 (tptp.class_Rings_Oring @t998)))) % 0.61/1.40 (assume @p1254 (forall @t1000 (=> @t1004 (tptp.class_Rings_Oidom @t998)))) % 0.61/1.40 (assume @p1255 (forall @t1000 (=> @t1007 (tptp.class_Groups_Oone @t998)))) % 0.61/1.40 (assume @p1256 (forall @t1000 (=> @t1007 (tptp.class_Rings_Odvd @t998)))) % 0.61/1.40 (assume @p1257 (forall @t45 (or (not @t1012) @t41))) % 0.61/1.40 (assume @p1258 (forall @t45 (or @t42 @t1012))) % 0.61/1.40 (assume @p1259 @t1018) % 0.61/1.40 (assume @p1260 true) % 0.61/1.40 (step @p1261 :rule bool-impl-elim :args (@t127 @t126)) % 0.61/1.40 (step @p1262 :rule cong :premises (@p1261) :args (@t129)) % 0.61/1.40 (step @p1263 :rule eq_resolve :premises (@p78 @p1262)) % 0.61/1.40 (step @p1264 :rule alpha_equiv :args (@t1019 (@list @t124) (@list @t7))) % 0.61/1.40 (step @p1265 :rule equiv_elim1 :premises (@p1264)) % 0.61/1.40 (step @p1266 :rule chain_m_resolution :premises (@p1265 @p1263) :args (@t1021 (@list false) (@list @t1019))) % 0.61/1.40 (step @p1267 :rule bool-double-not-elim :args ((forall @t15 (or (not @t14) (not @t1022))))) % 0.61/1.40 (step @p1268 :rule bool-and-de-morgan :args (@t14 @t1022 true)) % 0.61/1.40 (step @p1269 :rule cong :premises (@p1268) :args (@t1024)) % 0.61/1.40 (step @p1270 :rule cong :premises (@p1269) :args (@t1025)) % 0.61/1.40 (step @p1271 :rule exists-elim :args ((= (exists @t15 @t1023) @t1025))) % 0.61/1.40 (step @p1272 :rule trans :premises (@p1271 @p1270)) % 0.61/1.40 (step @p1273 :rule bool-impl-elim :args (@t9 @t1014)) % 0.61/1.40 (step @p1274 :rule cong :premises (@p1273) :args (@t1015)) % 0.61/1.40 (step @p1275 :rule refl :args (@t14)) % 0.61/1.40 (step @p1276 :rule nary_cong :premises (@p1275 @p1274) :args (@t1016)) % 0.61/1.40 (step @p1277 :rule cong :premises (@p1276) :args (@t1017)) % 0.61/1.40 (step @p1278 :rule trans :premises (@p1277 @p1272)) % 0.61/1.40 (step @p1279 :rule cong :premises (@p1278) :args (@t1018)) % 0.61/1.40 (step @p1280 :rule trans :premises (@p1279 @p1267)) % 0.61/1.40 (step @p1281 :rule eq_resolve :premises (@p1259 @p1280)) % 0.61/1.40 (step @p1282 :rule instantiate :premises (@p1281) :args ((@list @t123))) % 0.61/1.40 (step @p1283 :rule cnf_or_pos :args (@t1028)) % 0.61/1.40 (step @p1284 :rule reordering :premises (@p1283) :args ((or @t1027 @t1026 (not @t1028)))) % 0.61/1.40 (step @p1285 false :rule chain_m_resolution :premises (@p1284 @p1282 @p1266 @p83) :args (false (@list false false false) (@list @t1028 @t1021 @t140))) % 0.61/1.40 ) % 0.61/1.40 % SZS output end Proof % 0.61/1.40 % cvc5 exiting %------------------------------------------------------------------------------