%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW233+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:04:34 AM UTC 2026 % Result : Theorem 1.32s 1.55s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW233+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:41:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.44/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.55 % SZS status Theorem % 1.32/1.55 % SZS output start Proof % 1.32/1.55 ( % 1.32/1.55 (declare-sort $$unsorted 0) % 1.32/1.55 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.32/1.55 (declare-const tptp.c_Complex_Ocis (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.32/1.55 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.32/1.55 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.v_cs____ $$unsorted) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.32/1.55 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.v_z____ $$unsorted) % 1.32/1.55 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.v_p $$unsorted) % 1.32/1.55 (declare-const tptp.v_c____ $$unsorted) % 1.32/1.55 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.v_aa____ $$unsorted) % 1.32/1.55 (declare-const tptp.v_r____ $$unsorted) % 1.32/1.55 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.32/1.55 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.v_da____ $$unsorted) % 1.32/1.55 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.32/1.55 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.32/1.55 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.32/1.55 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.32/1.55 (define @t3 () (@var "B_x" $$unsorted)) % 1.32/1.55 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.32/1.55 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.32/1.55 (define @t6 () (@list @t3)) % 1.32/1.55 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))) % 1.32/1.55 (define @t8 () (@var "V_x" $$unsorted)) % 1.32/1.55 (define @t9 () (@var "T_a" $$unsorted)) % 1.32/1.55 (define @t10 () (tptp.class_Orderings_Opreorder @t9)) % 1.32/1.55 (define @t11 () (@list @t8 @t9)) % 1.32/1.55 (define @t12 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z____)) % 1.32/1.55 (define @t13 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal tptp.v_r____)) % 1.32/1.55 (define @t14 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t15 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 @t13)) % 1.32/1.55 (define @t16 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t12)) % 1.32/1.55 (define @t17 () (@var "V_w" $$unsorted)) % 1.32/1.55 (define @t18 () (@list @t17)) % 1.32/1.55 (define @t19 () (@var "V_z" $$unsorted)) % 1.32/1.55 (define @t20 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17 @t19)) % 1.32/1.55 (define @t21 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t19 @t17)) % 1.32/1.55 (define @t22 () (@list @t17 @t19)) % 1.32/1.55 (define @t23 () (@var "V_k" $$unsorted)) % 1.32/1.55 (define @t24 () (@var "V_i" $$unsorted)) % 1.32/1.55 (define @t25 () (@var "V_j" $$unsorted)) % 1.32/1.55 (define @t26 () (@list @t23 @t25 @t24)) % 1.32/1.55 (define @t27 () (= @t19 @t17)) % 1.32/1.55 (define @t28 () (@var "T_b" $$unsorted)) % 1.32/1.55 (define @t29 () (tptp.tc_fun @t9 @t28)) % 1.32/1.55 (define @t30 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t2 @t1)) % 1.32/1.55 (define @t31 () (tptp.class_Orderings_Oord @t28)) % 1.32/1.55 (define @t32 () (@list @t1 @t2 @t9 @t28)) % 1.32/1.55 (define @t33 () (@var "V_y" $$unsorted)) % 1.32/1.55 (define @t34 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t33 @t8)) % 1.32/1.55 (define @t35 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t33)) % 1.32/1.55 (define @t36 () (tptp.class_Orderings_Olinorder @t9)) % 1.32/1.55 (define @t37 () (@list @t33 @t8 @t9)) % 1.32/1.55 (define @t38 () (@var "V_x_2" $$unsorted)) % 1.32/1.55 (define @t39 () (@var "V_y_2" $$unsorted)) % 1.32/1.55 (define @t40 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t39 @t38)) % 1.32/1.55 (define @t41 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t38 @t39)) % 1.32/1.55 (define @t42 () (= @t38 @t39)) % 1.32/1.55 (define @t43 () (tptp.class_Orderings_Oorder @t9)) % 1.32/1.55 (define @t44 () (@list @t39 @t38 @t9)) % 1.32/1.55 (define @t45 () (= @t8 @t33)) % 1.32/1.55 (define @t46 () (not (= tptp.v_cs____ @t7))) % 1.32/1.55 (define @t47 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t33)) % 1.32/1.55 (define @t48 () (@list @t19 @t33 @t8)) % 1.32/1.55 (define @t49 () (not @t35)) % 1.32/1.55 (define @t50 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 @t33)) % 1.32/1.55 (define @t51 () (@list @t19 @t8 @t33 @t9)) % 1.32/1.55 (define @t52 () (@list @t8 @t33 @t9)) % 1.32/1.55 (define @t53 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t33 @t19)) % 1.32/1.55 (define @t54 () (@list @t19 @t33 @t8 @t9)) % 1.32/1.55 (define @t55 () (@var "V_a" $$unsorted)) % 1.32/1.55 (define @t56 () (@var "V_c" $$unsorted)) % 1.32/1.55 (define @t57 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t56 @t55)) % 1.32/1.55 (define @t58 () (@var "V_b" $$unsorted)) % 1.32/1.55 (define @t59 () (= @t58 @t56)) % 1.32/1.55 (define @t60 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t58 @t55)) % 1.32/1.55 (define @t61 () (@list @t56 @t55 @t58 @t9)) % 1.32/1.55 (define @t62 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t55 @t56)) % 1.32/1.55 (define @t63 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t55 @t58)) % 1.32/1.55 (define @t64 () (tptp.class_Orderings_Oord @t9)) % 1.32/1.55 (define @t65 () (@list @t56 @t58 @t55 @t9)) % 1.32/1.55 (define @t66 () (= @t55 @t58)) % 1.32/1.55 (define @t67 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t58 @t56)) % 1.32/1.55 (define @t68 () (= @t41 @t42)) % 1.32/1.55 (define @t69 () (@list @t38 @t39 @t9)) % 1.32/1.55 (define @t70 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t33)) % 1.32/1.55 (define @t71 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t8)) % 1.32/1.55 (define @t72 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t8 @t33)) % 1.32/1.55 (define @t73 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t72)) % 1.32/1.55 (define @t74 () (tptp.class_RealVector_Oreal__normed__vector @t9)) % 1.32/1.55 (define @t75 () (tptp.c_Groups_Oone__class_Oone @t9)) % 1.32/1.55 (define @t76 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t9)) % 1.32/1.55 (define @t77 () (@list @t9)) % 1.32/1.55 (define @t78 () (tptp.c_Groups_Ozero__class_Ozero @t9)) % 1.32/1.55 (define @t79 () (= @t38 @t78)) % 1.32/1.55 (define @t80 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t81 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t38)) % 1.32/1.55 (define @t82 () (@list @t38 @t9)) % 1.32/1.55 (define @t83 () (tptp.c_Groups_Oabs__class_Oabs @t9 @t58)) % 1.32/1.55 (define @t84 () (tptp.c_Groups_Oabs__class_Oabs @t9 @t55)) % 1.32/1.55 (define @t85 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t84 @t83)) % 1.32/1.55 (define @t86 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t58)) % 1.32/1.55 (define @t87 () (tptp.class_Groups_Oordered__ab__group__add__abs @t9)) % 1.32/1.55 (define @t88 () (@list @t58 @t55 @t9)) % 1.32/1.55 (define @t89 () (@list @t55 @t9)) % 1.32/1.55 (define @t90 () (@var "V_ab_2" $$unsorted)) % 1.32/1.55 (define @t91 () (= @t90 @t78)) % 1.32/1.55 (define @t92 () (tptp.c_Groups_Oabs__class_Oabs @t9 @t90)) % 1.32/1.55 (define @t93 () (@list @t90 @t9)) % 1.32/1.55 (define @t94 () (= @t84 @t55)) % 1.32/1.55 (define @t95 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t55)) % 1.32/1.55 (define @t96 () (tptp.class_Rings_Olinordered__semidom @t9)) % 1.32/1.55 (define @t97 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t90)) % 1.32/1.55 (define @t98 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t90 @t90)) % 1.32/1.55 (define @t99 () (tptp.class_Groups_Olinordered__ab__group__add @t9)) % 1.32/1.55 (define @t100 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t90 @t78)) % 1.32/1.55 (define @t101 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t58)) % 1.32/1.55 (define @t102 () (tptp.class_Groups_Oordered__comm__monoid__add @t9)) % 1.32/1.55 (define @t103 () (@var "V_r" $$unsorted)) % 1.32/1.55 (define @t104 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t103)) % 1.32/1.55 (define @t105 () (@list @t103)) % 1.32/1.55 (define @t106 () (tptp.class_Groups_Ozero @t9)) % 1.32/1.55 (define @t107 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t19)) % 1.32/1.55 (define @t108 () (@list @t19 @t17)) % 1.32/1.55 (define @t109 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t56 @t55)) % 1.32/1.55 (define @t110 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t58 @t55)) % 1.32/1.55 (define @t111 () (tptp.class_Groups_Ocancel__semigroup__add @t9)) % 1.32/1.55 (define @t112 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t56)) % 1.32/1.55 (define @t113 () (=> (= @t86 @t112) @t59)) % 1.32/1.55 (define @t114 () (@var "V_ca_2" $$unsorted)) % 1.32/1.55 (define @t115 () (@var "V_b_2" $$unsorted)) % 1.32/1.55 (define @t116 () (= @t115 @t114)) % 1.32/1.55 (define @t117 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t114 @t90)) % 1.32/1.55 (define @t118 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t115 @t90)) % 1.32/1.55 (define @t119 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t90 @t114)) % 1.32/1.55 (define @t120 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t58 @t56)) % 1.32/1.55 (define @t121 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t86 @t56)) % 1.32/1.55 (define @t122 () (= @t121 (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t120))) % 1.32/1.55 (define @t123 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t78) @t55)) % 1.32/1.55 (define @t124 () (tptp.class_Groups_Ocomm__monoid__add @t9)) % 1.32/1.55 (define @t125 () (tptp.class_Groups_Omonoid__add @t9)) % 1.32/1.55 (define @t126 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t78 @t55) @t55)) % 1.32/1.55 (define @t127 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t90 @t115)) % 1.32/1.55 (define @t128 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t115 @t114)) % 1.32/1.55 (define @t129 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t9)) % 1.32/1.55 (define @t130 () (@list @t115 @t114 @t90 @t9)) % 1.32/1.55 (define @t131 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t114 @t115)) % 1.32/1.55 (define @t132 () (@list @t115 @t90 @t114 @t9)) % 1.32/1.55 (define @t133 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t112 @t120)) % 1.32/1.55 (define @t134 () (tptp.class_Groups_Oordered__ab__semigroup__add @t9)) % 1.32/1.55 (define @t135 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t56 @t58)) % 1.32/1.55 (define @t136 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t109 @t135)) % 1.32/1.55 (define @t137 () (@var "V_d" $$unsorted)) % 1.32/1.55 (define @t138 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t58 @t137)) % 1.32/1.55 (define @t139 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t56 @t137)) % 1.32/1.55 (define @t140 () (@list @t137 @t56 @t58 @t55 @t9)) % 1.32/1.55 (define @t141 () (@list @t58 @t56 @t55 @t9)) % 1.32/1.55 (define @t142 () (@list @t58 @t55 @t56 @t9)) % 1.32/1.55 (define @t143 () (tptp.class_Rings_Ozero__neq__one @t9)) % 1.32/1.55 (define @t144 () (tptp.class_Rings_Olinordered__idom @t9)) % 1.32/1.55 (define @t145 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t55)) % 1.32/1.55 (define @t146 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t58 @t78)) % 1.32/1.55 (define @t147 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t55 @t78)) % 1.32/1.55 (define @t148 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t58 @t112)) % 1.32/1.55 (define @t149 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t56)) % 1.32/1.55 (define @t150 () (= @t39 @t78)) % 1.32/1.55 (define @t151 () (and @t79 @t150)) % 1.32/1.55 (define @t152 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_c____ tptp.v_cs____)) % 1.32/1.55 (define @t153 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t9)) % 1.32/1.55 (define @t154 () (tptp.class_Rings_Ocomm__semiring__1 @t9)) % 1.32/1.55 (define @t155 () (tptp.tc_Polynomial_Opoly @t9)) % 1.32/1.55 (define @t156 () (tptp.c_Groups_Ozero__class_Ozero @t155)) % 1.32/1.55 (define @t157 () (@var "V_pa_2" $$unsorted)) % 1.32/1.55 (define @t158 () (= @t157 @t156)) % 1.32/1.55 (define @t159 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.32/1.55 (define @t160 () (@list @t157 @t9)) % 1.32/1.55 (define @t161 () (tptp.c_Groups_Osgn__class_Osgn @t9 @t8)) % 1.32/1.55 (define @t162 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t161)) % 1.32/1.55 (define @t163 () (= @t8 @t78)) % 1.32/1.55 (define @t164 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t8)) % 1.32/1.55 (define @t165 () (@list @t8)) % 1.32/1.55 (define @t166 () (@var "B_z" $$unsorted)) % 1.32/1.55 (define @t167 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal tptp.v_da____ (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_aa____)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t152) @t166)))) % 1.32/1.55 (define @t168 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t166)) % 1.32/1.55 (define @t169 () (@list @t166)) % 1.32/1.55 (define @t170 () (@var "V_v" $$unsorted)) % 1.32/1.55 (define @t171 () (tptp.c_Groups_Otimes__class_Otimes @t9)) % 1.32/1.55 (define @t172 () (@var "V_u" $$unsorted)) % 1.32/1.55 (define @t173 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP (tptp.hAPP @t171 @t172) @t8) (tptp.hAPP (tptp.hAPP @t171 @t170) @t33))) % 1.32/1.55 (define @t174 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t172 @t170) @t75)) % 1.32/1.55 (define @t175 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t170)) % 1.32/1.55 (define @t176 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t172)) % 1.32/1.55 (define @t177 () (@list @t170 @t172 @t33 @t55 @t8 @t9)) % 1.32/1.55 (define @t178 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t58 @t137)) % 1.32/1.55 (define @t179 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t55 @t56)) % 1.32/1.55 (define @t180 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t56 @t137)) % 1.32/1.55 (define @t181 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t86 @t180)) % 1.32/1.55 (define @t182 () (@var "V_db_2" $$unsorted)) % 1.32/1.55 (define @t183 () (@var "V_e_2" $$unsorted)) % 1.32/1.55 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Groups_Ominus__class_Ominus @t9 @t115 @t90)) @t183) @t182)) % 1.32/1.55 (define @t185 () (tptp.hAPP @t171 @t115)) % 1.32/1.55 (define @t186 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t185 @t183) @t182)) % 1.32/1.55 (define @t187 () (tptp.hAPP @t171 @t90)) % 1.32/1.55 (define @t188 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t187 @t183) @t114)) % 1.32/1.55 (define @t189 () (tptp.c_Orderings_Oord__class_Oless @t9 @t188 @t186)) % 1.32/1.55 (define @t190 () (tptp.class_Rings_Oordered__ring @t9)) % 1.32/1.55 (define @t191 () (@list @t182 @t115 @t114 @t183 @t90 @t9)) % 1.32/1.55 (define @t192 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t90 @t115)) % 1.32/1.55 (define @t193 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP (tptp.hAPP @t171 @t192) @t183) @t114)) % 1.32/1.55 (define @t194 () (tptp.c_Orderings_Oord__class_Oless @t9 @t90 @t115)) % 1.32/1.55 (define @t195 () (= @t192 (tptp.c_Groups_Ominus__class_Ominus @t9 @t114 @t182))) % 1.32/1.55 (define @t196 () (tptp.class_Groups_Oordered__ab__group__add @t9)) % 1.32/1.55 (define @t197 () (@list @t182 @t114 @t115 @t90 @t9)) % 1.32/1.55 (define @t198 () (= @t114 @t182)) % 1.32/1.55 (define @t199 () (= @t90 @t115)) % 1.32/1.55 (define @t200 () (tptp.class_Groups_Oab__group__add @t9)) % 1.32/1.55 (define @t201 () (@var "V_s" $$unsorted)) % 1.32/1.55 (define @t202 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t203 () (tptp.hAPP @t171 @t8)) % 1.32/1.55 (define @t204 () (tptp.hAPP @t203 @t33)) % 1.32/1.55 (define @t205 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t204)) % 1.32/1.55 (define @t206 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t70 @t201)) % 1.32/1.55 (define @t207 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t103)) % 1.32/1.55 (define @t208 () (tptp.class_RealVector_Oreal__normed__algebra @t9)) % 1.32/1.55 (define @t209 () (@list @t201 @t33 @t103 @t8 @t9)) % 1.32/1.55 (define @t210 () (tptp.c_Orderings_Oord__class_Oless @t9 @t33 @t8)) % 1.32/1.55 (define @t211 () (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t33)) % 1.32/1.55 (define @t212 () (not @t211)) % 1.32/1.55 (define @t213 () (not @t45)) % 1.32/1.55 (define @t214 () (=> @t213 (=> @t212 @t210))) % 1.32/1.55 (define @t215 () (@var "V_ya" $$unsorted)) % 1.32/1.55 (define @t216 () (tptp.hAPP @t171 @t33)) % 1.32/1.55 (define @t217 () (tptp.hAPP @t216 @t215)) % 1.32/1.55 (define @t218 () (tptp.hAPP @t203 @t215)) % 1.32/1.55 (define @t219 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t33)) % 1.32/1.55 (define @t220 () (tptp.hAPP @t171 @t219)) % 1.32/1.55 (define @t221 () (@list @t215 @t33 @t8 @t9)) % 1.32/1.55 (define @t222 () (@var "V_a_H" $$unsorted)) % 1.32/1.55 (define @t223 () (tptp.hAPP @t171 @t222)) % 1.32/1.55 (define @t224 () (tptp.hAPP @t223 @t58)) % 1.32/1.55 (define @t225 () (tptp.hAPP @t171 @t55)) % 1.32/1.55 (define @t226 () (tptp.hAPP @t225 @t58)) % 1.32/1.55 (define @t227 () (@list @t58 @t222 @t55 @t9)) % 1.32/1.55 (define @t228 () (tptp.hAPP @t171 @t58)) % 1.32/1.55 (define @t229 () (tptp.hAPP @t228 @t56)) % 1.32/1.55 (define @t230 () (@var "V_xa" $$unsorted)) % 1.32/1.55 (define @t231 () (tptp.hAPP @t171 @t230)) % 1.32/1.55 (define @t232 () (tptp.hAPP @t231 @t33)) % 1.32/1.55 (define @t233 () (tptp.hAPP @t231 @t8)) % 1.32/1.55 (define @t234 () (@list @t33 @t8 @t230 @t9)) % 1.32/1.55 (define @t235 () (@var "V_b_H" $$unsorted)) % 1.32/1.55 (define @t236 () (tptp.hAPP @t225 @t235)) % 1.32/1.55 (define @t237 () (@list @t235 @t58 @t55 @t9)) % 1.32/1.55 (define @t238 () (tptp.hAPP @t171 @t161)) % 1.32/1.55 (define @t239 () (tptp.class_RealVector_Oreal__normed__div__algebra @t9)) % 1.32/1.55 (define @t240 () (tptp.c_Groups_Osgn__class_Osgn @t9 @t55)) % 1.32/1.55 (define @t241 () (tptp.hAPP @t228 @t55)) % 1.32/1.55 (define @t242 () (@var "V_ry" $$unsorted)) % 1.32/1.55 (define @t243 () (@var "V_lx" $$unsorted)) % 1.32/1.55 (define @t244 () (tptp.hAPP @t171 @t243)) % 1.32/1.55 (define @t245 () (@var "V_rx" $$unsorted)) % 1.32/1.55 (define @t246 () (tptp.hAPP @t171 @t245)) % 1.32/1.55 (define @t247 () (tptp.hAPP @t246 @t242)) % 1.32/1.55 (define @t248 () (tptp.hAPP @t244 @t247)) % 1.32/1.55 (define @t249 () (@list @t242 @t245 @t243 @t9)) % 1.32/1.55 (define @t250 () (tptp.hAPP @t171 (tptp.hAPP @t244 @t245))) % 1.32/1.55 (define @t251 () (@var "V_ly" $$unsorted)) % 1.32/1.55 (define @t252 () (tptp.hAPP @t171 @t251)) % 1.32/1.55 (define @t253 () (tptp.hAPP @t171 (tptp.hAPP @t244 @t251))) % 1.32/1.55 (define @t254 () (tptp.hAPP @t253 @t245)) % 1.32/1.55 (define @t255 () (@list @t245 @t251 @t243 @t9)) % 1.32/1.55 (define @t256 () (tptp.hAPP @t253 @t247)) % 1.32/1.55 (define @t257 () (@list @t242 @t245 @t251 @t243 @t9)) % 1.32/1.55 (define @t258 () (tptp.c_Orderings_Oord__class_Oless @t9 @t19 @t8)) % 1.32/1.55 (define @t259 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t19 @t33) @t258)) % 1.32/1.55 (define @t260 () (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t19)) % 1.32/1.55 (define @t261 () (tptp.c_Orderings_Oord__class_Oless @t9 @t33 @t19)) % 1.32/1.55 (define @t262 () (=> @t261 @t260)) % 1.32/1.55 (define @t263 () (tptp.c_Orderings_Oord__class_Oless @t9 @t56 @t55)) % 1.32/1.55 (define @t264 () (tptp.c_Orderings_Oord__class_Oless @t9 @t58 @t55)) % 1.32/1.55 (define @t265 () (tptp.c_Orderings_Oord__class_Oless @t9 @t55 @t56)) % 1.32/1.55 (define @t266 () (tptp.c_Orderings_Oord__class_Oless @t9 @t55 @t58)) % 1.32/1.55 (define @t267 () (tptp.c_Orderings_Oord__class_Oless @t9 @t58 @t56)) % 1.32/1.55 (define @t268 () (@list @t55 @t58 @t9)) % 1.32/1.55 (define @t269 () (tptp.c_Orderings_Oord__class_Oless @t9 @t38 @t39)) % 1.32/1.55 (define @t270 () (not @t269)) % 1.32/1.55 (define @t271 () (= @t270 @t42)) % 1.32/1.55 (define @t272 () (tptp.c_Orderings_Oord__class_Oless @t9 @t39 @t38)) % 1.32/1.55 (define @t273 () (not @t42)) % 1.32/1.55 (define @t274 () (@list @t115 @t90 @t9)) % 1.32/1.55 (define @t275 () (tptp.hAPP @t171 (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t55))) % 1.32/1.55 (define @t276 () (tptp.hAPP @t275 @t58)) % 1.32/1.55 (define @t277 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t33 @t58)) % 1.32/1.55 (define @t278 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t204 @t226)) % 1.32/1.55 (define @t279 () (tptp.class_Rings_Oring @t9)) % 1.32/1.55 (define @t280 () (@list @t58 @t55 @t33 @t8 @t9)) % 1.32/1.55 (define @t281 () (= @t188 @t186)) % 1.32/1.55 (define @t282 () (tptp.hAPP @t171 @t56)) % 1.32/1.55 (define @t283 () (tptp.hAPP @t282 @t58)) % 1.32/1.55 (define @t284 () (tptp.hAPP @t282 @t55)) % 1.32/1.55 (define @t285 () (tptp.c_Orderings_Oord__class_Oless @t9 @t284 @t283)) % 1.32/1.55 (define @t286 () (tptp.c_Orderings_Oord__class_Oless @t9 @t56 @t78)) % 1.32/1.55 (define @t287 () (tptp.class_Rings_Olinordered__ring__strict @t9)) % 1.32/1.55 (define @t288 () (tptp.hAPP @t225 @t56)) % 1.32/1.55 (define @t289 () (tptp.c_Orderings_Oord__class_Oless @t9 @t288 @t229)) % 1.32/1.55 (define @t290 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t56)) % 1.32/1.55 (define @t291 () (=> @t266 (=> @t290 @t285))) % 1.32/1.55 (define @t292 () (tptp.class_Rings_Olinordered__semiring__strict @t9)) % 1.32/1.55 (define @t293 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t226)) % 1.32/1.55 (define @t294 () (tptp.c_Orderings_Oord__class_Oless @t9 @t58 @t78)) % 1.32/1.55 (define @t295 () (tptp.c_Orderings_Oord__class_Oless @t9 @t55 @t78)) % 1.32/1.55 (define @t296 () (tptp.c_Orderings_Oord__class_Oless @t9 @t226 @t78)) % 1.32/1.55 (define @t297 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t58)) % 1.32/1.55 (define @t298 () (tptp.c_Orderings_Oord__class_Oless @t9 @t115 @t90)) % 1.32/1.55 (define @t299 () (tptp.hAPP @t171 @t114)) % 1.32/1.55 (define @t300 () (tptp.hAPP @t299 @t115)) % 1.32/1.55 (define @t301 () (tptp.hAPP @t299 @t90)) % 1.32/1.55 (define @t302 () (tptp.c_Orderings_Oord__class_Oless @t9 @t301 @t300)) % 1.32/1.55 (define @t303 () (tptp.c_Orderings_Oord__class_Oless @t9 @t114 @t78)) % 1.32/1.55 (define @t304 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t55)) % 1.32/1.55 (define @t305 () (=> @t304 @t297)) % 1.32/1.55 (define @t306 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t114)) % 1.32/1.55 (define @t307 () (or (and @t306 @t194) (and @t303 @t298))) % 1.32/1.55 (define @t308 () (tptp.hAPP @t185 @t114)) % 1.32/1.55 (define @t309 () (tptp.hAPP @t187 @t114)) % 1.32/1.55 (define @t310 () (tptp.hAPP @t225 @t55)) % 1.32/1.55 (define @t311 () (tptp.class_Rings_Olinordered__ring @t9)) % 1.32/1.55 (define @t312 () (@var "V_n" $$unsorted)) % 1.32/1.55 (define @t313 () (@var "V_m" $$unsorted)) % 1.32/1.55 (define @t314 () (tptp.hAPP @t171 @t313)) % 1.32/1.55 (define @t315 () (tptp.hAPP @t202 @t19)) % 1.32/1.55 (define @t316 () (tptp.hAPP (tptp.hAPP @t202 @t8) @t33)) % 1.32/1.55 (define @t317 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t33)) % 1.32/1.55 (define @t318 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t8)) % 1.32/1.55 (define @t319 () (@list @t33 @t8)) % 1.32/1.55 (define @t320 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t39)) % 1.32/1.55 (define @t321 () (@var "V_za_2" $$unsorted)) % 1.32/1.55 (define @t322 () (tptp.hAPP @t202 @t39)) % 1.32/1.55 (define @t323 () (tptp.hAPP @t322 @t321)) % 1.32/1.55 (define @t324 () (tptp.hAPP @t202 @t38)) % 1.32/1.55 (define @t325 () (tptp.hAPP @t324 @t321)) % 1.32/1.55 (define @t326 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t321)) % 1.32/1.55 (define @t327 () (@list @t39 @t38 @t321)) % 1.32/1.55 (define @t328 () (tptp.hAPP @t282 @t137)) % 1.32/1.55 (define @t329 () (tptp.hAPP @t171 @t84)) % 1.32/1.55 (define @t330 () (tptp.hAPP @t329 @t83)) % 1.32/1.55 (define @t331 () (@list @t137 @t58 @t56 @t55 @t9)) % 1.32/1.55 (define @t332 () (tptp.hAPP (tptp.hAPP @t202 @t71) @t70)) % 1.32/1.55 (define @t333 () (tptp.c_Orderings_Oord__class_Oless @t9 @t90 @t78)) % 1.32/1.55 (define @t334 () (tptp.c_Groups_Osgn__class_Osgn @t9 @t90)) % 1.32/1.55 (define @t335 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t90)) % 1.32/1.55 (define @t336 () (tptp.hAPP @t171 @t78)) % 1.32/1.55 (define @t337 () (= (tptp.hAPP @t336 @t55) @t78)) % 1.32/1.55 (define @t338 () (= (tptp.hAPP @t225 @t78) @t78)) % 1.32/1.55 (define @t339 () (tptp.hAPP @t171 @t86)) % 1.32/1.55 (define @t340 () (= (tptp.hAPP @t339 @t56) (tptp.c_Groups_Oplus__class_Oplus @t9 @t288 @t229))) % 1.32/1.55 (define @t341 () (tptp.hAPP @t225 @t313)) % 1.32/1.55 (define @t342 () (@var "V_w_2" $$unsorted)) % 1.32/1.55 (define @t343 () (tptp.hAPP @t171 @t38)) % 1.32/1.55 (define @t344 () (tptp.hAPP @t171 @t342)) % 1.32/1.55 (define @t345 () (= (tptp.hAPP (tptp.hAPP @t171 @t75) @t55) @t55)) % 1.32/1.55 (define @t346 () (= (tptp.hAPP @t225 @t75) @t55)) % 1.32/1.55 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t188 @t186)) % 1.32/1.55 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t301 @t300)) % 1.32/1.55 (define @t349 () (tptp.hAPP @t228 @t137)) % 1.32/1.55 (define @t350 () (tptp.c_Orderings_Oord__class_Oless @t9 @t288 @t349)) % 1.32/1.55 (define @t351 () (=> @t149 @t350)) % 1.32/1.55 (define @t352 () (tptp.c_Orderings_Oord__class_Oless @t9 @t56 @t137)) % 1.32/1.55 (define @t353 () (=> @t149 @t266)) % 1.32/1.55 (define @t354 () (=> @t289 @t353)) % 1.32/1.55 (define @t355 () (tptp.class_Rings_Olinordered__semiring @t9)) % 1.32/1.55 (define @t356 () (=> @t285 @t353)) % 1.32/1.55 (define @t357 () (=> @t290 @t63)) % 1.32/1.55 (define @t358 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t288 @t229)) % 1.32/1.55 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t284 @t283)) % 1.32/1.55 (define @t360 () (tptp.hAPP @t203 @t8)) % 1.32/1.55 (define @t361 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t55 @t58)) % 1.32/1.55 (define @t362 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t361)) % 1.32/1.55 (define @t363 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t58)) % 1.32/1.55 (define @t364 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t145 @t363)) % 1.32/1.55 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t39)) % 1.32/1.55 (define @t366 () (tptp.hAPP @t202 @t321)) % 1.32/1.55 (define @t367 () (tptp.class_Groups_Ogroup__add @t9)) % 1.32/1.55 (define @t368 () (= @t192 @t78)) % 1.32/1.55 (define @t369 () (=> @t35 @t262)) % 1.32/1.55 (define @t370 () (forall @t54 (=> @t10 @t369))) % 1.32/1.55 (define @t371 () (not @t66)) % 1.32/1.55 (define @t372 () (not @t34)) % 1.32/1.55 (define @t373 () (=> @t372 @t211)) % 1.32/1.55 (define @t374 () (forall @t52 (=> @t36 @t373))) % 1.32/1.55 (define @t375 () (tptp.class_Rings_Omult__zero @t9)) % 1.32/1.55 (define @t376 () (@list @t33 @t9)) % 1.32/1.55 (define @t377 () (tptp.hAPP @t187 @t115)) % 1.32/1.55 (define @t378 () (= @t226 @t78)) % 1.32/1.55 (define @t379 () (= @t58 @t78)) % 1.32/1.55 (define @t380 () (not @t379)) % 1.32/1.55 (define @t381 () (= @t55 @t78)) % 1.32/1.55 (define @t382 () (not @t381)) % 1.32/1.55 (define @t383 () (tptp.class_Rings_Ono__zero__divisors @t9)) % 1.32/1.55 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t9 @t112 @t120)) % 1.32/1.55 (define @t385 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t9)) % 1.32/1.55 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t9 @t109 @t135)) % 1.32/1.55 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t9 @t112 @t138)) % 1.32/1.55 (define @t388 () (=> @t352 @t387)) % 1.32/1.55 (define @t389 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t58 @t55)) % 1.32/1.55 (define @t390 () (tptp.c_Groups_Oabs__class_Oabs @t9 @t389)) % 1.32/1.55 (define @t391 () (tptp.c_Groups_Oabs__class_Oabs @t9 @t361)) % 1.32/1.55 (define @t392 () (@var "V_e" $$unsorted)) % 1.32/1.55 (define @t393 () (tptp.class_Groups_Omonoid__mult @t9)) % 1.32/1.55 (define @t394 () (tptp.class_Groups_Ocomm__monoid__mult @t9)) % 1.32/1.55 (define @t395 () (tptp.hAPP @t202 @t114)) % 1.32/1.55 (define @t396 () (not (= @t114 @t80))) % 1.32/1.55 (define @t397 () (@list @t115 @t90 @t114)) % 1.32/1.55 (define @t398 () (@list @t39 @t38)) % 1.32/1.55 (define @t399 () (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t226) @t330)) % 1.32/1.55 (define @t400 () (@list @t19)) % 1.32/1.55 (define @t401 () (@var "V_z2" $$unsorted)) % 1.32/1.55 (define @t402 () (tptp.hAPP @t202 @t401)) % 1.32/1.55 (define @t403 () (@var "V_z1" $$unsorted)) % 1.32/1.55 (define @t404 () (tptp.hAPP @t202 @t403)) % 1.32/1.55 (define @t405 () (@list @t17 @t401 @t403)) % 1.32/1.55 (define @t406 () (= (tptp.c_Orderings_Oord__class_Oless @t9 @t98 @t78) @t333)) % 1.32/1.55 (define @t407 () (tptp.hAPP @t171 @t103)) % 1.32/1.55 (define @t408 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t75 @t75)) % 1.32/1.55 (define @t409 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t75)) % 1.32/1.55 (define @t410 () (tptp.hAPP (tptp.hAPP @t171 @t409) @t313)) % 1.32/1.55 (define @t411 () (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t78) @t78)) % 1.32/1.55 (define @t412 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t84 @t83)) % 1.32/1.55 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t115 @t78)) % 1.32/1.55 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t115)) % 1.32/1.55 (define @t415 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t226)) % 1.32/1.55 (define @t416 () (tptp.class_Rings_Oordered__cancel__semiring @t9)) % 1.32/1.55 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t226 @t78)) % 1.32/1.55 (define @t418 () (tptp.class_Rings_Oordered__semiring @t9)) % 1.32/1.55 (define @t419 () (=> @t63 (=> @t149 @t359))) % 1.32/1.55 (define @t420 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t56 @t78)) % 1.32/1.55 (define @t421 () (=> @t149 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t288 @t349))) % 1.32/1.55 (define @t422 () (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t86)) % 1.32/1.55 (define @t423 () (=> @t297 @t422)) % 1.32/1.55 (define @t424 () (tptp.c_Orderings_Oord__class_Oless @t9 @t58 @t112)) % 1.32/1.55 (define @t425 () (=> @t267 @t424)) % 1.32/1.55 (define @t426 () (tptp.c_Orderings_Oord__class_Oless @t9 @t86 @t78)) % 1.32/1.55 (define @t427 () (=> @t294 @t426)) % 1.32/1.55 (define @t428 () (= @t38 @t80)) % 1.32/1.55 (define @t429 () (tptp.hAPP @t324 @t38)) % 1.32/1.55 (define @t430 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t33 @t75)) % 1.32/1.55 (define @t431 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t33)) % 1.32/1.55 (define @t432 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t8)) % 1.32/1.55 (define @t433 () (tptp.hAPP @t216 @t8)) % 1.32/1.55 (define @t434 () (not @t79)) % 1.32/1.55 (define @t435 () (=> @t154 (= @t112 @t109))) % 1.32/1.55 (define @t436 () (@list @t56 @t55 @t9)) % 1.32/1.55 (define @t437 () (forall @t436 @t435)) % 1.32/1.55 (define @t438 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t180)) % 1.32/1.55 (define @t439 () (@list @t137 @t56 @t55 @t9)) % 1.32/1.55 (define @t440 () (@var "B_r" $$unsorted)) % 1.32/1.55 (define @t441 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t440 @t168)) % 1.32/1.55 (define @t442 () (@list @t440)) % 1.32/1.55 (define @t443 () (@var "V_p" $$unsorted)) % 1.32/1.55 (define @t444 () (tptp.c_Polynomial_Opoly @t9 @t443)) % 1.32/1.55 (define @t445 () (tptp.hAPP @t444 @t8)) % 1.32/1.55 (define @t446 () (tptp.c_Polynomial_OpCons @t9 @t55 @t443)) % 1.32/1.55 (define @t447 () (tptp.class_Rings_Ocomm__semiring__0 @t9)) % 1.32/1.55 (define @t448 () (tptp.hAPP @t202 @t56)) % 1.32/1.55 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 @t80)) % 1.32/1.55 (define @t450 () (@var "V_ra_2" $$unsorted)) % 1.32/1.55 (define @t451 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t360 (tptp.hAPP @t216 @t33))) % 1.32/1.55 (define @t452 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t343 @t38) (tptp.hAPP (tptp.hAPP @t171 @t39) @t39))) % 1.32/1.55 (define @t453 () (@list @t55 @t58)) % 1.32/1.55 (define @t454 () (@var "V_z3" $$unsorted)) % 1.32/1.55 (define @t455 () (@list @t454 @t401 @t403)) % 1.32/1.55 (define @t456 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.32/1.55 (define @t457 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t456)) % 1.32/1.55 (define @t458 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.32/1.55 (define @t459 () (tptp.hAPP @t458 @t313)) % 1.32/1.55 (define @t460 () (tptp.hAPP @t459 @t312)) % 1.32/1.55 (define @t461 () (= @t313 @t159)) % 1.32/1.55 (define @t462 () (not @t461)) % 1.32/1.55 (define @t463 () (@list @t312 @t313)) % 1.32/1.55 (define @t464 () (@list @t443 @t9)) % 1.32/1.55 (define @t465 () (@var "V_q" $$unsorted)) % 1.32/1.55 (define @t466 () (@list @t465 @t9)) % 1.32/1.55 (define @t467 () (tptp.c_Groups_Otimes__class_Otimes @t155)) % 1.32/1.55 (define @t468 () (tptp.hAPP @t467 @t443)) % 1.32/1.55 (define @t469 () (@var "V_q_2" $$unsorted)) % 1.32/1.55 (define @t470 () (= @t157 @t469)) % 1.32/1.55 (define @t471 () (tptp.c_Polynomial_OpCons @t9 @t90 @t157)) % 1.32/1.55 (define @t472 () (tptp.c_Polynomial_Opoly @t9 @t157)) % 1.32/1.55 (define @t473 () (tptp.class_Rings_Oidom @t9)) % 1.32/1.55 (define @t474 () (and (tptp.class_Int_Oring__char__0 @t9) @t473)) % 1.32/1.55 (define @t475 () (tptp.c_Groups_Oplus__class_Oplus @t155 @t443 @t465)) % 1.32/1.55 (define @t476 () (tptp.c_Polynomial_OpCons @t9 @t58 @t465)) % 1.32/1.55 (define @t477 () (@list @t465 @t58 @t443 @t55 @t9)) % 1.32/1.55 (define @t478 () (tptp.c_Groups_Ominus__class_Ominus @t155 @t443 @t465)) % 1.32/1.55 (define @t479 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t465) @t8)) % 1.32/1.55 (define @t480 () (tptp.hAPP @t468 @t465)) % 1.32/1.55 (define @t481 () (@list @t8 @t465 @t443 @t9)) % 1.32/1.55 (define @t482 () (tptp.c_Groups_Oone__class_Oone @t155)) % 1.32/1.55 (define @t483 () (tptp.c_Polynomial_Opoly @t9 @t156)) % 1.32/1.55 (define @t484 () (@list @t157 @t90 @t9)) % 1.32/1.55 (define @t485 () (@list @t38)) % 1.32/1.55 (define @t486 () (@list @t312)) % 1.32/1.55 (define @t487 () (@var "B_K" $$unsorted)) % 1.32/1.55 (define @t488 () (@var "B_b" $$unsorted)) % 1.32/1.55 (define @t489 () (@var "B_a" $$unsorted)) % 1.32/1.55 (define @t490 () (forall (@list @t489 @t488) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t9 (tptp.hAPP (tptp.hAPP @t171 @t489) @t488)) (tptp.hAPP (tptp.hAPP @t202 (tptp.hAPP (tptp.hAPP @t202 (tptp.c_RealVector_Onorm__class_Onorm @t9 @t489)) (tptp.c_RealVector_Onorm__class_Onorm @t9 @t488))) @t487)))) % 1.32/1.55 (define @t491 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t487)) % 1.32/1.55 (define @t492 () (@list @t487)) % 1.32/1.55 (define @t493 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t25)) % 1.32/1.55 (define @t494 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t24)) % 1.32/1.55 (define @t495 () (@var "V_n_2" $$unsorted)) % 1.32/1.55 (define @t496 () (@var "V_m_2" $$unsorted)) % 1.32/1.55 (define @t497 () (and (= @t496 @t456) (= @t495 @t456))) % 1.32/1.55 (define @t498 () (tptp.hAPP @t458 @t496)) % 1.32/1.55 (define @t499 () (tptp.hAPP @t498 @t495)) % 1.32/1.55 (define @t500 () (@list @t495 @t496)) % 1.32/1.55 (define @t501 () (tptp.hAPP @t458 @t312)) % 1.32/1.55 (define @t502 () (@var "B_n" $$unsorted)) % 1.32/1.55 (define @t503 () (@var "V_k_2" $$unsorted)) % 1.32/1.55 (define @t504 () (@var "V_l_2" $$unsorted)) % 1.32/1.55 (define @t505 () (@list @t502)) % 1.32/1.55 (define @t506 () (@list @t504 @t503)) % 1.32/1.55 (define @t507 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t23)) % 1.32/1.55 (define @t508 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t23)) % 1.32/1.55 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t25)) % 1.32/1.55 (define @t510 () (@list @t24 @t25 @t23)) % 1.32/1.55 (define @t511 () (@var "V_j_2" $$unsorted)) % 1.32/1.55 (define @t512 () (@var "V_i_2" $$unsorted)) % 1.32/1.55 (define @t513 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t512 @t503)) % 1.32/1.55 (define @t514 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t511 @t503)) % 1.32/1.55 (define @t515 () (@list @t503 @t511 @t512)) % 1.32/1.55 (define @t516 () (tptp.hAPP @t458 @t23)) % 1.32/1.55 (define @t517 () (tptp.hAPP @t516 @t312)) % 1.32/1.55 (define @t518 () (tptp.hAPP @t516 @t313)) % 1.32/1.55 (define @t519 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t312)) % 1.32/1.55 (define @t520 () (@list @t312 @t313 @t23)) % 1.32/1.55 (define @t521 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t312 @t313)) % 1.32/1.55 (define @t522 () (@list @t313 @t312)) % 1.32/1.55 (define @t523 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t23)) % 1.32/1.55 (define @t524 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t25)) % 1.32/1.55 (define @t525 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t524 @t23)) % 1.32/1.55 (define @t526 () (tptp.hAPP @t501 @t23)) % 1.32/1.55 (define @t527 () (tptp.hAPP @t459 @t23)) % 1.32/1.55 (define @t528 () (@list @t23 @t312 @t313)) % 1.32/1.55 (define @t529 () (tptp.hAPP @t467 @t465)) % 1.32/1.55 (define @t530 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t312)) % 1.32/1.55 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t312)) % 1.32/1.55 (define @t532 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t313)) % 1.32/1.55 (define @t533 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t312 @t23)) % 1.32/1.55 (define @t534 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t23)) % 1.32/1.55 (define @t535 () (@list @t312 @t23 @t313)) % 1.32/1.55 (define @t536 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t496 @t495)) % 1.32/1.55 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t503 @t495)) % 1.32/1.55 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t503 @t496)) % 1.32/1.55 (define @t539 () (@list @t495 @t496 @t503)) % 1.32/1.55 (define @t540 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t312 @t530) @t313)) % 1.32/1.55 (define @t541 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t313 @t312)) % 1.32/1.55 (define @t542 () (not @t541)) % 1.32/1.55 (define @t543 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t313)) % 1.32/1.55 (define @t544 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t25)) % 1.32/1.55 (define @t545 () (@list @t313 @t25 @t24)) % 1.32/1.55 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t25)) % 1.32/1.55 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t312)) % 1.32/1.55 (define @t548 () (@list @t313 @t312 @t23)) % 1.32/1.55 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t312 @t313)) % 1.32/1.55 (define @t550 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t493 @t23)) % 1.32/1.55 (define @t551 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t508)) % 1.32/1.55 (define @t552 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t511 @t512)) % 1.32/1.55 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t512 @t511)) % 1.32/1.55 (define @t554 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t494 @t23)) % 1.32/1.55 (define @t555 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t508 @t24)) % 1.32/1.55 (define @t556 () (@var "V_l" $$unsorted)) % 1.32/1.55 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t556)) % 1.32/1.55 (define @t558 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t556)) % 1.32/1.55 (define @t559 () (@list @t556 @t23 @t25 @t24)) % 1.32/1.55 (define @t560 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t495 @t496)) % 1.32/1.55 (define @t561 () (= @t496 @t495)) % 1.32/1.55 (define @t562 () (not @t561)) % 1.32/1.55 (define @t563 () (tptp.hAPP @t501 @t313)) % 1.32/1.55 (define @t564 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t33)) % 1.32/1.55 (define @t565 () (= @t313 @t312)) % 1.32/1.55 (define @t566 () (not @t565)) % 1.32/1.55 (define @t567 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t313)) % 1.32/1.55 (define @t568 () (@var "V_t" $$unsorted)) % 1.32/1.55 (define @t569 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t23)) % 1.32/1.55 (define @t570 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t556 @t313)) % 1.32/1.55 (define @t571 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t556 @t312)) % 1.32/1.55 (define @t572 () (@list @t556 @t312 @t313)) % 1.32/1.55 (define @t573 () (@var "V_P_2" $$unsorted)) % 1.32/1.55 (define @t574 () (tptp.hAPP @t573 @t495)) % 1.32/1.55 (define @t575 () (tptp.hBOOL (tptp.hAPP @t574 @t496))) % 1.32/1.55 (define @t576 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313 @t312)) % 1.32/1.55 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t496 @t495)) % 1.32/1.55 (define @t578 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t495 @t503)) % 1.32/1.55 (define @t579 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t496 @t503)) % 1.32/1.55 (define @t580 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t503 @t495)) % 1.32/1.55 (define @t581 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t503 @t496)) % 1.32/1.55 (define @t582 () (tptp.hAPP @t458 @t25)) % 1.32/1.55 (define @t583 () (tptp.hAPP @t458 @t24)) % 1.32/1.55 (define @t584 () (tptp.hAPP @t583 @t23)) % 1.32/1.55 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t556)) % 1.32/1.55 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t25)) % 1.32/1.55 (define @t587 () (@list @t56 @t58 @t55)) % 1.32/1.55 (define @t588 () (@list @t312 @t24)) % 1.32/1.55 (define @t589 () (tptp.hAPP @t516 @t25)) % 1.32/1.55 (define @t590 () (tptp.hAPP @t516 @t24)) % 1.32/1.55 (define @t591 () (tptp.hAPP @t582 @t23)) % 1.32/1.55 (define @t592 () (or @t536 @t561)) % 1.32/1.55 (define @t593 () (tptp.hAPP @t459 @t313)) % 1.32/1.55 (define @t594 () (@list @t313)) % 1.32/1.55 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t534 @t312)) % 1.32/1.55 (define @t596 () (@list @t495 @t503 @t496)) % 1.32/1.55 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t33 @t19)) % 1.32/1.55 (define @t598 () (@var "B_k" $$unsorted)) % 1.32/1.55 (define @t599 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t496 @t598)) % 1.32/1.55 (define @t600 () (@list @t598)) % 1.32/1.55 (define @t601 () (= @t495 @t159)) % 1.32/1.55 (define @t602 () (@list @t495)) % 1.32/1.55 (define @t603 () (= @t496 @t159)) % 1.32/1.55 (define @t604 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t496 @t495)) % 1.32/1.55 (define @t605 () (= @t503 @t159)) % 1.32/1.55 (define @t606 () (or @t561 @t605)) % 1.32/1.55 (define @t607 () (tptp.hAPP @t458 @t503)) % 1.32/1.55 (define @t608 () (tptp.hAPP @t607 @t495)) % 1.32/1.55 (define @t609 () (tptp.hAPP @t607 @t496)) % 1.32/1.55 (define @t610 () (= @t609 @t608)) % 1.32/1.55 (define @t611 () (tptp.hAPP @t458 @t495)) % 1.32/1.55 (define @t612 () (tptp.hAPP @t611 @t503)) % 1.32/1.55 (define @t613 () (tptp.hAPP @t498 @t503)) % 1.32/1.55 (define @t614 () (= @t530 @t159)) % 1.32/1.55 (define @t615 () (= @t312 @t159)) % 1.32/1.55 (define @t616 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t495)) % 1.32/1.55 (define @t617 () (not @t601)) % 1.32/1.55 (define @t618 () (@var "B_d" $$unsorted)) % 1.32/1.55 (define @t619 () (tptp.hBOOL (tptp.hAPP @t573 @t618))) % 1.32/1.55 (define @t620 () (= @t90 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 @t618))) % 1.32/1.55 (define @t621 () (@list @t618)) % 1.32/1.55 (define @t622 () (tptp.hBOOL (tptp.hAPP @t573 @t159))) % 1.32/1.55 (define @t623 () (not @t622)) % 1.32/1.55 (define @t624 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t90 @t115)) % 1.32/1.55 (define @t625 () (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t90 @t115)))) % 1.32/1.55 (define @t626 () (@list @t115 @t90 @t573)) % 1.32/1.55 (define @t627 () (@list @t496 @t495)) % 1.32/1.55 (define @t628 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t496)) % 1.32/1.55 (define @t629 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t503)) % 1.32/1.55 (define @t630 () (and @t629 @t536)) % 1.32/1.55 (define @t631 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t609 @t608)) % 1.32/1.55 (define @t632 () (=> @t629 @t577)) % 1.32/1.55 (define @t633 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t609 @t608)) % 1.32/1.55 (define @t634 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t313)) % 1.32/1.55 (define @t635 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t312)) % 1.32/1.55 (define @t636 () (not @t615)) % 1.32/1.55 (define @t637 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t23)) % 1.32/1.55 (define @t638 () (@var "V_u_2" $$unsorted)) % 1.32/1.55 (define @t639 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 @t552) @t638) @t495)) % 1.32/1.55 (define @t640 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 @t511) @t638) @t495)) % 1.32/1.55 (define @t641 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 @t512) @t638) @t496)) % 1.32/1.55 (define @t642 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t641 @t640)) % 1.32/1.55 (define @t643 () (@list @t495 @t496 @t638 @t511 @t512)) % 1.32/1.55 (define @t644 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t512 @t511)) @t638) @t496)) % 1.32/1.55 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t511 @t512)) % 1.32/1.55 (define @t646 () (@list @t495 @t496 @t638 @t512 @t511)) % 1.32/1.55 (define @t647 () (= @t641 @t640)) % 1.32/1.55 (define @t648 () (tptp.hAPP @t582 @t172)) % 1.32/1.55 (define @t649 () (tptp.hAPP @t583 @t172)) % 1.32/1.55 (define @t650 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t649 @t313) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t648 @t312))) % 1.32/1.55 (define @t651 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t641 @t640)) % 1.32/1.55 (define @t652 () (tptp.c_Polynomial_Opcompose @t9 @t443 @t465)) % 1.32/1.55 (define @t653 () (tptp.c_RComplete_Onatceiling @t8)) % 1.32/1.55 (define @t654 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 @t14)) % 1.32/1.55 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t8)) % 1.32/1.55 (define @t656 () (tptp.hAPP (tptp.hAPP @t202 (tptp.c_RealVector_Onorm__class_Onorm @t9 @t3)) @t487)) % 1.32/1.55 (define @t657 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t9 (tptp.hAPP @t203 @t3)) @t656))) % 1.32/1.55 (define @t658 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t9 (tptp.hAPP (tptp.hAPP @t171 @t3) @t33)) @t656))) % 1.32/1.55 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t80)) % 1.32/1.55 (define @t660 () (tptp.c_RComplete_Onatceiling @t38)) % 1.32/1.55 (define @t661 () (tptp.c_RComplete_Onatfloor @t8)) % 1.32/1.55 (define @t662 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t597)) % 1.32/1.55 (define @t663 () (@list @t33 @t19 @t8)) % 1.32/1.55 (define @t664 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t33)) % 1.32/1.55 (define @t665 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t14 @t38)) % 1.32/1.55 (define @t666 () (tptp.c_RComplete_Onatfloor @t38)) % 1.32/1.55 (define @t667 () (tptp.c_RComplete_Onatfloor @t55)) % 1.32/1.55 (define @t668 () (@list @t58 @t55)) % 1.32/1.55 (define @t669 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t597)) % 1.32/1.55 (define @t670 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t312 @t456)) % 1.32/1.55 (define @t671 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t312)) % 1.32/1.55 (define @t672 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t671 @t14)) % 1.32/1.55 (define @t673 () (@list @t8 @t312)) % 1.32/1.55 (define @t674 () (@var "B_m" $$unsorted)) % 1.32/1.55 (define @t675 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t443)) % 1.32/1.55 (define @t676 () (@list @t674)) % 1.32/1.55 (define @t677 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t8)) % 1.32/1.55 (define @t678 () (= @t495 @t496)) % 1.32/1.55 (define @t679 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t496)) % 1.32/1.55 (define @t680 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t495)) % 1.32/1.55 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t495 @t496)) % 1.32/1.55 (define @t682 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t313)) % 1.32/1.55 (define @t683 () (tptp.c_Polynomial_Opos__poly @t9 @t465)) % 1.32/1.55 (define @t684 () (tptp.c_Polynomial_Opos__poly @t9 @t443)) % 1.32/1.55 (define @t685 () (@list @t465 @t443 @t9)) % 1.32/1.55 (define @t686 () (tptp.c_Polynomial_Opos__poly @t9 (tptp.c_Groups_Ominus__class_Ominus @t155 @t39 @t38))) % 1.32/1.55 (define @t687 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t661)) % 1.32/1.55 (define @t688 () (@list @t55 @t8)) % 1.32/1.55 (define @t689 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t55)) % 1.32/1.55 (define @t690 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t90)) % 1.32/1.55 (define @t691 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t38)) % 1.32/1.55 (define @t692 () (@list @t90 @t38)) % 1.32/1.55 (define @t693 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t8 @t689)) % 1.32/1.55 (define @t694 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t689 @t8)) % 1.32/1.55 (define @t695 () (@list @t8 @t55)) % 1.32/1.55 (define @t696 () (@list @t312 @t8)) % 1.32/1.55 (define @t697 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 @t689)) % 1.32/1.55 (define @t698 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t502)) % 1.32/1.55 (define @t699 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t103)) % 1.32/1.55 (define @t700 () (@var "B_y" $$unsorted)) % 1.32/1.55 (define @t701 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t8 @t700)) @t618)) % 1.32/1.55 (define @t702 () (@list @t700)) % 1.32/1.55 (define @t703 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t618)) % 1.32/1.55 (define @t704 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t58)) % 1.32/1.55 (define @t705 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t8)) % 1.32/1.55 (define @t706 () (@list @t58 @t8 @t55)) % 1.32/1.55 (define @t707 () (tptp.c_Polynomial_Opoly__rec @t9 @t28 @t321 @t2 @t157)) % 1.32/1.55 (define @t708 () (tptp.hAPP (tptp.hAPP @t2 @t90) @t157)) % 1.32/1.55 (define @t709 () (tptp.c_Polynomial_Opoly__rec @t9 @t28 @t321 @t2 (tptp.c_Polynomial_OpCons @t28 @t90 @t157))) % 1.32/1.55 (define @t710 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t28))) % 1.32/1.55 (define @t711 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t28)) @t710) @t321) @t321)) % 1.32/1.55 (define @t712 () (tptp.class_Groups_Ozero @t28)) % 1.32/1.55 (define @t713 () (@var "B_i" $$unsorted)) % 1.32/1.55 (define @t714 () (tptp.hAPP @t573 @t713)) % 1.32/1.55 (define @t715 () (tptp.hBOOL @t714)) % 1.32/1.55 (define @t716 () (@list @t713)) % 1.32/1.55 (define @t717 () (tptp.hBOOL @t574)) % 1.32/1.55 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t487)) % 1.32/1.55 (define @t719 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (define @t720 () (@var "B_w" $$unsorted)) % 1.32/1.55 (define @t721 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t720 @t19))) % 1.32/1.55 (define @t722 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (define @t723 () (@var "V_M_2" $$unsorted)) % 1.32/1.55 (define @t724 () (@var "V_X_2" $$unsorted)) % 1.32/1.55 (define @t725 () (tptp.hAPP @t724 @t723)) % 1.32/1.55 (define @t726 () (tptp.hAPP @t724 @t502)) % 1.32/1.55 (define @t727 () (tptp.c_RealVector_Onorm__class_Onorm @t28 @t726)) % 1.32/1.55 (define @t728 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t723 @t502)) % 1.32/1.55 (define @t729 () (tptp.class_RealVector_Oreal__normed__vector @t28)) % 1.32/1.55 (define @t730 () (tptp.hAPP @t202 @t698)) % 1.32/1.55 (define @t731 () (tptp.hAPP @t724 @t674)) % 1.32/1.55 (define @t732 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t674 @t502)) % 1.32/1.55 (define @t733 () (@list @t674 @t502)) % 1.32/1.55 (define @t734 () (@list @t724 @t9)) % 1.32/1.55 (define @t735 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t736 () (tptp.hAPP @t202 @t671)) % 1.32/1.55 (define @t737 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t726)) % 1.32/1.55 (define @t738 () (exists @t492 (and @t491 (forall @t505 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t737 @t487))))) % 1.32/1.55 (define @t739 () (tptp.c_SEQ_OBseq @t9 @t724)) % 1.32/1.55 (define @t740 () (tptp.c_Power_Opower__class_Opower @t9)) % 1.32/1.55 (define @t741 () (tptp.hAPP @t740 @t33)) % 1.32/1.55 (define @t742 () (tptp.hAPP @t740 @t8)) % 1.32/1.55 (define @t743 () (tptp.hAPP @t742 @t465)) % 1.32/1.55 (define @t744 () (tptp.hAPP @t171 @t743)) % 1.32/1.55 (define @t745 () (tptp.hAPP (tptp.hAPP @t735 @t71) @t312)) % 1.32/1.55 (define @t746 () (tptp.hAPP @t742 @t312)) % 1.32/1.55 (define @t747 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t746)) % 1.32/1.55 (define @t748 () (@list @t312 @t8 @t9)) % 1.32/1.55 (define @t749 () (tptp.hAPP @t458 @t443)) % 1.32/1.55 (define @t750 () (tptp.hAPP @t742 @t443)) % 1.32/1.55 (define @t751 () (@list @t465 @t443 @t8 @t9)) % 1.32/1.55 (define @t752 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t456)) % 1.32/1.55 (define @t753 () (tptp.hAPP @t740 @t313)) % 1.32/1.55 (define @t754 () (tptp.hAPP @t753 @t312)) % 1.32/1.55 (define @t755 () (tptp.class_Power_Opower @t9)) % 1.32/1.55 (define @t756 () (tptp.hAPP @t740 @t58)) % 1.32/1.55 (define @t757 () (tptp.hAPP @t756 @t312)) % 1.32/1.55 (define @t758 () (tptp.hAPP @t740 @t55)) % 1.32/1.55 (define @t759 () (tptp.hAPP @t758 @t312)) % 1.32/1.55 (define @t760 () (tptp.c_Orderings_Oord__class_Oless @t9 @t759 @t757)) % 1.32/1.55 (define @t761 () (@list @t312 @t58 @t55 @t9)) % 1.32/1.55 (define @t762 () (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t55)) % 1.32/1.55 (define @t763 () (@list @t312 @t55 @t9)) % 1.32/1.55 (define @t764 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.32/1.55 (define @t765 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.32/1.55 (define @t766 () (@list @t495 @t38)) % 1.32/1.55 (define @t767 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t38)) % 1.32/1.55 (define @t768 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.32/1.55 (define @t769 () (tptp.hAPP @t768 @t38)) % 1.32/1.55 (define @t770 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 (tptp.hAPP @t769 @t495))) % 1.32/1.55 (define @t771 () (tptp.hAPP @t768 @t24)) % 1.32/1.55 (define @t772 () (tptp.hAPP @t771 @t312)) % 1.32/1.55 (define @t773 () (tptp.hAPP @t765 @t8)) % 1.32/1.55 (define @t774 () (tptp.hAPP @t773 @t33)) % 1.32/1.55 (define @t775 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.32/1.55 (define @t776 () (tptp.hAPP (tptp.hAPP @t735 @t682) @t312)) % 1.32/1.55 (define @t777 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t768 @t313) @t312))) % 1.32/1.55 (define @t778 () (tptp.hAPP (tptp.hAPP @t735 @t8) @t312)) % 1.32/1.55 (define @t779 () (tptp.hAPP @t768 @t443)) % 1.32/1.55 (define @t780 () (tptp.hAPP @t779 @t313)) % 1.32/1.55 (define @t781 () (tptp.hAPP @t225 @t759)) % 1.32/1.55 (define @t782 () (tptp.hAPP @t171 @t759)) % 1.32/1.55 (define @t783 () (tptp.hAPP @t782 @t55)) % 1.32/1.55 (define @t784 () (@list @t312 @t9)) % 1.32/1.55 (define @t785 () (tptp.hAPP (tptp.hAPP @t740 @t84) @t312)) % 1.32/1.55 (define @t786 () (tptp.hAPP @t758 @t313)) % 1.32/1.55 (define @t787 () (@list @t312 @t313 @t55 @t9)) % 1.32/1.55 (define @t788 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t75 @t55)) % 1.32/1.55 (define @t789 () (tptp.hAPP @t740 @t90)) % 1.32/1.55 (define @t790 () (tptp.hAPP @t789 @t495)) % 1.32/1.55 (define @t791 () (@list @t58 @t312 @t55 @t9)) % 1.32/1.55 (define @t792 () (tptp.hAPP @t740 @t78)) % 1.32/1.55 (define @t793 () (tptp.hAPP @t792 @t312)) % 1.32/1.55 (define @t794 () (and @t755 (tptp.class_Rings_Osemiring__0 @t9))) % 1.32/1.55 (define @t795 () (tptp.hAPP @t740 @t115)) % 1.32/1.55 (define @t796 () (tptp.hAPP @t795 @t39)) % 1.32/1.55 (define @t797 () (tptp.hAPP @t795 @t38)) % 1.32/1.55 (define @t798 () (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t115)) % 1.32/1.55 (define @t799 () (@list @t39 @t38 @t115 @t9)) % 1.32/1.55 (define @t800 () (@var "V_N" $$unsorted)) % 1.32/1.55 (define @t801 () (tptp.hAPP @t758 @t800)) % 1.32/1.55 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t800)) % 1.32/1.55 (define @t803 () (@list @t55 @t800 @t312 @t9)) % 1.32/1.55 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t312 @t800)) % 1.32/1.55 (define @t805 () (tptp.c_Orderings_Oord__class_Oless @t9 @t55 @t75)) % 1.32/1.55 (define @t806 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (define @t807 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (define @t808 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.32/1.55 (define @t809 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t808 @t19)) % 1.32/1.55 (define @t810 () (@list @t321)) % 1.32/1.55 (define @t811 () (tptp.hAPP @t775 @t23)) % 1.32/1.55 (define @t812 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t23)) % 1.32/1.55 (define @t813 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t25)) % 1.32/1.55 (define @t814 () (tptp.hAPP @t775 @t17)) % 1.32/1.55 (define @t815 () (tptp.hAPP @t814 @t401)) % 1.32/1.55 (define @t816 () (tptp.hAPP @t814 @t403)) % 1.32/1.55 (define @t817 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t403 @t401)) % 1.32/1.55 (define @t818 () (@list @t401 @t403 @t17)) % 1.32/1.55 (define @t819 () (tptp.hAPP @t775 @t401)) % 1.32/1.55 (define @t820 () (tptp.hAPP @t819 @t17)) % 1.32/1.55 (define @t821 () (tptp.hAPP @t775 @t403)) % 1.32/1.55 (define @t822 () (tptp.hAPP @t821 @t17)) % 1.32/1.55 (define @t823 () (tptp.hAPP @t775 @t19)) % 1.32/1.55 (define @t824 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t17 @t19)) % 1.32/1.55 (define @t825 () (@var "V_z_H" $$unsorted)) % 1.32/1.55 (define @t826 () (@var "V_w_H" $$unsorted)) % 1.32/1.55 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t342 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t321 @t808))) % 1.32/1.55 (define @t828 () (@list @t321 @t342)) % 1.32/1.55 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t342 @t321)) % 1.32/1.55 (define @t830 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t403 @t401)) % 1.32/1.55 (define @t831 () (@var "V_one_2" $$unsorted)) % 1.32/1.55 (define @t832 () (@var "V_times_2" $$unsorted)) % 1.32/1.55 (define @t833 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t9 @t831 @t832) @t90)) % 1.32/1.55 (define @t834 () (tptp.hAPP (tptp.hAPP @t775 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 @t19)) @t808)) @t137)) % 1.32/1.55 (define @t835 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t137)) % 1.32/1.55 (define @t836 () (tptp.hAPP @t775 @t55)) % 1.32/1.55 (define @t837 () (= @t55 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t103 (tptp.hAPP @t836 @t465)))) % 1.32/1.55 (define @t838 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t55)) % 1.32/1.55 (define @t839 () (@list @t465 @t103 @t55)) % 1.32/1.55 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t17 @t19)) % 1.32/1.55 (define @t841 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t19 @t17)) % 1.32/1.55 (define @t842 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t24 @t25)) % 1.32/1.55 (define @t843 () (@var "V_q_H" $$unsorted)) % 1.32/1.55 (define @t844 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t843 @t465)) % 1.32/1.55 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t235 @t58)) % 1.32/1.55 (define @t846 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t235)) % 1.32/1.55 (define @t847 () (@var "V_r_H" $$unsorted)) % 1.32/1.55 (define @t848 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t847)) % 1.32/1.55 (define @t849 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t103 @t58)) % 1.32/1.55 (define @t850 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t775 @t235) @t843) @t847)) % 1.32/1.55 (define @t851 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t850 @t764)) % 1.32/1.55 (define @t852 () (tptp.hAPP @t775 @t58)) % 1.32/1.55 (define @t853 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t852 @t465) @t103)) % 1.32/1.55 (define @t854 () (= @t853 @t850)) % 1.32/1.55 (define @t855 () (@list @t847 @t843 @t235 @t103 @t465 @t58)) % 1.32/1.55 (define @t856 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t465 @t843)) % 1.32/1.55 (define @t857 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 @t103)) % 1.32/1.55 (define @t858 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t103 @t764)) % 1.32/1.55 (define @t859 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t852 @t843) @t847) @t853)) % 1.32/1.55 (define @t860 () (@list @t103 @t465 @t847 @t843 @t58)) % 1.32/1.55 (define @t861 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t103)) % 1.32/1.55 (define @t862 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t847 @t235)) % 1.32/1.55 (define @t863 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t850)) % 1.32/1.55 (define @t864 () (@list @t847 @t843 @t235)) % 1.32/1.55 (define @t865 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t8)) % 1.32/1.55 (define @t866 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t33)) % 1.32/1.55 (define @t867 () (tptp.c_Nat__Transfer_Otsub @t8 @t33)) % 1.32/1.55 (define @t868 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t33 @t8)) % 1.32/1.55 (define @t869 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 @t33)) % 1.32/1.55 (define @t870 () (=> @t868 (= @t867 @t869))) % 1.32/1.55 (define @t871 () (@list @t8 @t33)) % 1.32/1.55 (define @t872 () (tptp.hAPP @t736 @t55)) % 1.32/1.55 (define @t873 () (tptp.c_Complex_Orcis @t103 @t55)) % 1.32/1.55 (define @t874 () (@list @t55)) % 1.32/1.55 (define @t875 () (@var "V_r2" $$unsorted)) % 1.32/1.55 (define @t876 () (@var "V_r1" $$unsorted)) % 1.32/1.55 (define @t877 () (@var "V_K_2" $$unsorted)) % 1.32/1.55 (define @t878 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t737 @t877)) % 1.32/1.55 (define @t879 () (tptp.hAPP @t775 @t503)) % 1.32/1.55 (define @t880 () (tptp.hAPP @t879 @t182)) % 1.32/1.55 (define @t881 () (tptp.hBOOL (tptp.hAPP @t573 @t3))) % 1.32/1.55 (define @t882 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t503)) % 1.32/1.55 (define @t883 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t182)) % 1.32/1.55 (define @t884 () (@list @t503 @t573 @t182)) % 1.32/1.55 (define @t885 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t55)) % 1.32/1.55 (define @t886 () (@list @t55 @t312)) % 1.32/1.55 (define @t887 () (tptp.c_Transcendental_Oln @t8)) % 1.32/1.55 (define @t888 () (tptp.c_Transcendental_Oln @t39)) % 1.32/1.55 (define @t889 () (tptp.c_Transcendental_Oln @t38)) % 1.32/1.55 (define @t890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t39)) % 1.32/1.55 (define @t891 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t38)) % 1.32/1.55 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t887)) % 1.32/1.55 (define @t893 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t14 @t8)) % 1.32/1.55 (define @t894 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t887)) % 1.32/1.55 (define @t895 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t14 @t8)) % 1.32/1.55 (define @t896 () (tptp.hAPP @t2 @t713)) % 1.32/1.55 (define @t897 () (@var "V_N_2" $$unsorted)) % 1.32/1.55 (define @t898 () (@var "B_N" $$unsorted)) % 1.32/1.55 (define @t899 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t898))) % 1.32/1.55 (define @t900 () (@list @t898)) % 1.32/1.55 (define @t901 () (exists @t492 (and @t491 (forall @t505 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t727 @t487))))) % 1.32/1.55 (define @t902 () (@list @t724 @t28)) % 1.32/1.55 (define @t903 () (tptp.c_Nat_OSuc @t312)) % 1.32/1.55 (define @t904 () (tptp.c_Nat_OSuc @t313)) % 1.32/1.55 (define @t905 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t904 @t903)) % 1.32/1.55 (define @t906 () (tptp.c_Nat_OSuc @t159)) % 1.32/1.55 (define @t907 () (= @t495 @t906)) % 1.32/1.55 (define @t908 () (= @t496 @t906)) % 1.32/1.55 (define @t909 () (@list @t313 @t24)) % 1.32/1.55 (define @t910 () (tptp.c_Nat_OSuc @t495)) % 1.32/1.55 (define @t911 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t910 @t496)) % 1.32/1.55 (define @t912 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t496 @t910)) % 1.32/1.55 (define @t913 () (tptp.c_Nat_OSuc @t496)) % 1.32/1.55 (define @t914 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t313 @t903)) % 1.32/1.55 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t904 @t312)) % 1.32/1.55 (define @t916 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t495 @t913)) % 1.32/1.55 (define @t917 () (= @t916 @t678)) % 1.32/1.55 (define @t918 () (tptp.hAPP @t458 (tptp.c_Nat_OSuc @t503))) % 1.32/1.55 (define @t919 () (tptp.hAPP @t918 @t495)) % 1.32/1.55 (define @t920 () (tptp.hAPP @t918 @t496)) % 1.32/1.55 (define @t921 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t904 @t312)) % 1.32/1.55 (define @t922 () (@var "V_nat_H" $$unsorted)) % 1.32/1.55 (define @t923 () (@var "V_nat_H_1" $$unsorted)) % 1.32/1.55 (define @t924 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t904 @t312)) % 1.32/1.55 (define @t925 () (tptp.c_Nat_OSuc @t24)) % 1.32/1.55 (define @t926 () (@var "V_nat_H_2" $$unsorted)) % 1.32/1.55 (define @t927 () (@var "V_nat_2" $$unsorted)) % 1.32/1.55 (define @t928 () (or (and @t908 @t601) (and @t603 @t907))) % 1.32/1.55 (define @t929 () (tptp.c_Nat_OSuc @t906)) % 1.32/1.55 (define @t930 () (@var "B_j" $$unsorted)) % 1.32/1.55 (define @t931 () (@list @t930)) % 1.32/1.55 (define @t932 () (tptp.hAPP @t203 @t743)) % 1.32/1.55 (define @t933 () (tptp.hAPP @t742 (tptp.c_Nat_OSuc @t465))) % 1.32/1.55 (define @t934 () (@list @t465 @t8 @t9)) % 1.32/1.55 (define @t935 () (tptp.hAPP @t758 @t903)) % 1.32/1.55 (define @t936 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t903)) % 1.32/1.55 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t904 @t312)) % 1.32/1.55 (define @t938 () (tptp.c_Nat_OSuc @t519)) % 1.32/1.55 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313 @t903)) % 1.32/1.55 (define @t940 () (tptp.hAPP @t756 @t903)) % 1.32/1.55 (define @t941 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t906 @t313)) % 1.32/1.55 (define @t942 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t906 @t312)) % 1.32/1.55 (define @t943 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t903)) % 1.32/1.55 (define @t944 () (tptp.c_Nat_OSuc @t25)) % 1.32/1.55 (define @t945 () (tptp.c_Nat_OSuc @t508)) % 1.32/1.55 (define @t946 () (@list @t313 @t25 @t23)) % 1.32/1.55 (define @t947 () (tptp.c_Nat_OSuc @t752)) % 1.32/1.55 (define @t948 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t502))) % 1.32/1.55 (define @t949 () (tptp.hAPP @t765 @t23)) % 1.32/1.55 (define @t950 () (@list @t23 @t313)) % 1.32/1.55 (define @t951 () (tptp.class_Divides_Osemiring__div @t9)) % 1.32/1.55 (define @t952 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t90 @t115)) % 1.32/1.55 (define @t953 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t952 @t764)) % 1.32/1.55 (define @t954 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t115)) % 1.32/1.55 (define @t955 () (@list @t90 @t115)) % 1.32/1.55 (define @t956 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t115 @t764)) % 1.32/1.55 (define @t957 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t58)) % 1.32/1.55 (define @t958 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t58)) % 1.32/1.55 (define @t959 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t764)) % 1.32/1.55 (define @t960 () (@list @t58)) % 1.32/1.55 (define @t961 () (tptp.c_Divides_Odiv__class_Odiv @t9 @t55 @t58)) % 1.32/1.55 (define @t962 () (tptp.c_Divides_Odiv__class_Odiv @t9 @t284 @t283)) % 1.32/1.55 (define @t963 () (= @t56 @t78)) % 1.32/1.55 (define @t964 () (not @t963)) % 1.32/1.55 (define @t965 () (=> @t964 (= @t962 @t961))) % 1.32/1.55 (define @t966 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t222 @t58)) % 1.32/1.55 (define @t967 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 @t764)) % 1.32/1.55 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55 @t222)) % 1.32/1.55 (define @t969 () (@list @t58 @t222 @t55)) % 1.32/1.55 (define @t970 () (= @t957 @t764)) % 1.32/1.55 (define @t971 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 @t55)) % 1.32/1.55 (define @t972 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55 @t764)) % 1.32/1.55 (define @t973 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t235)) % 1.32/1.55 (define @t974 () (@list @t58 @t235 @t55)) % 1.32/1.55 (define @t975 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t957 @t764)) % 1.32/1.55 (define @t976 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t952)) % 1.32/1.55 (define @t977 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t58)) % 1.32/1.55 (define @t978 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t55)) % 1.32/1.55 (define @t979 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t90)) % 1.32/1.55 (define @t980 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t512 @t503)) % 1.32/1.55 (define @t981 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t503)) % 1.32/1.55 (define @t982 () (= @t503 @t764)) % 1.32/1.55 (define @t983 () (tptp.hAPP @t852 @t56)) % 1.32/1.55 (define @t984 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t56)) % 1.32/1.55 (define @t985 () (@list @t58 @t55 @t56)) % 1.32/1.55 (define @t986 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t56 @t961)) % 1.32/1.55 (define @t987 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t283)) % 1.32/1.55 (define @t988 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t229)) % 1.32/1.55 (define @t989 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t961 @t75)) % 1.32/1.55 (define @t990 () (= @t495 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t879 @t713) @t930))) % 1.32/1.55 (define @t991 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t503 @t930) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t930 @t764) @t990)) % 1.32/1.55 (define @t992 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t503 @t764)) % 1.32/1.55 (define @t993 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t930) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t930 @t503) @t990)) % 1.32/1.55 (define @t994 () (tptp.hAPP @t573 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t495 @t503))) % 1.32/1.55 (define @t995 () (@list @t503 @t495 @t573)) % 1.32/1.55 (define @t996 () (@var "V_b_1" $$unsorted)) % 1.32/1.55 (define @t997 () (@var "V_a_1" $$unsorted)) % 1.32/1.55 (define @t998 () (not (= @t996 @t764))) % 1.32/1.55 (define @t999 () (@var "V_r_1" $$unsorted)) % 1.32/1.55 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t996)) % 1.32/1.55 (define @t1001 () (not @t1000)) % 1.32/1.55 (define @t1002 () (tptp.hAPP @t775 @t996)) % 1.32/1.55 (define @t1003 () (tptp.hBOOL (tptp.hAPP @t714 @t930))) % 1.32/1.55 (define @t1004 () (@list @t713 @t930)) % 1.32/1.55 (define @t1005 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t495 @t503)) % 1.32/1.55 (define @t1006 () (tptp.hBOOL (tptp.hAPP @t994 @t1005))) % 1.32/1.55 (define @t1007 () (@list @t495 @t573 @t503)) % 1.32/1.55 (define @t1008 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t313 @t312)) % 1.32/1.55 (define @t1009 () (=> @t541 (= @t1008 @t159))) % 1.32/1.55 (define @t1010 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t55 @t58)) % 1.32/1.55 (define @t1011 () (tptp.c_Divides_Odiv__class_Omod @t9 @t55 @t58)) % 1.32/1.55 (define @t1012 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t55 @t58)) % 1.32/1.55 (define @t1013 () (tptp.hAPP @t458 @t58)) % 1.32/1.55 (define @t1014 () (tptp.hAPP @t1013 @t56)) % 1.32/1.55 (define @t1015 () (tptp.hAPP (tptp.hAPP @t171 @t961) @t58)) % 1.32/1.55 (define @t1016 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t1015 @t1011)) % 1.32/1.55 (define @t1017 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t228 @t961) @t1011)) % 1.32/1.55 (define @t1018 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t58 @t56)) % 1.32/1.55 (define @t1019 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t58 @t56)) % 1.32/1.55 (define @t1020 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t55 @t58)) % 1.32/1.55 (define @t1021 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t518 @t517)) % 1.32/1.55 (define @t1022 () (= @t1021 @t1008)) % 1.32/1.55 (define @t1023 () (= @t23 @t159)) % 1.32/1.55 (define @t1024 () (tptp.c_Divides_Odiv__class_Odiv @t155 @t8 @t33)) % 1.32/1.55 (define @t1025 () (tptp.hAPP @t467 @t33)) % 1.32/1.55 (define @t1026 () (tptp.hAPP @t1025 @t19)) % 1.32/1.55 (define @t1027 () (tptp.class_Fields_Ofield @t9)) % 1.32/1.55 (define @t1028 () (tptp.c_Divides_Odiv__class_Omod @t9 @t86 @t56)) % 1.32/1.55 (define @t1029 () (tptp.c_Divides_Odiv__class_Omod @t9 @t58 @t56)) % 1.32/1.55 (define @t1030 () (= @t1029 (tptp.c_Divides_Odiv__class_Omod @t9 @t235 @t56))) % 1.32/1.55 (define @t1031 () (tptp.c_Divides_Odiv__class_Omod @t9 @t55 @t56)) % 1.32/1.55 (define @t1032 () (= @t1031 (tptp.c_Divides_Odiv__class_Omod @t9 @t222 @t56))) % 1.32/1.55 (define @t1033 () (@list @t235 @t58 @t222 @t56 @t55 @t9)) % 1.32/1.55 (define @t1034 () (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t1031 @t58) @t56)) % 1.32/1.55 (define @t1035 () (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t1029) @t56)) % 1.32/1.55 (define @t1036 () (tptp.c_Divides_Odiv__class_Omod @t9 @t361 @t56)) % 1.32/1.55 (define @t1037 () (tptp.class_Divides_Oring__div @t9)) % 1.32/1.55 (define @t1038 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t869 @t313)) % 1.32/1.55 (define @t1039 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t8 @t313)) % 1.32/1.55 (define @t1040 () (@list @t33 @t313 @t8)) % 1.32/1.55 (define @t1041 () (tptp.c_Divides_Odiv__class_Omod @t9 @t226 @t56)) % 1.32/1.55 (define @t1042 () (tptp.hAPP @t171 @t1031)) % 1.32/1.55 (define @t1043 () (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t1042 @t58) @t56)) % 1.32/1.55 (define @t1044 () (tptp.hAPP @t836 @t58)) % 1.32/1.55 (define @t1045 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1044 @t56)) % 1.32/1.55 (define @t1046 () (tptp.hAPP @t836 @t1018)) % 1.32/1.55 (define @t1047 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1046 @t56)) % 1.32/1.55 (define @t1048 () (@var "B_q" $$unsorted)) % 1.32/1.55 (define @t1049 () (@list @t1048)) % 1.32/1.55 (define @t1050 () (@list @t182 @t496)) % 1.32/1.55 (define @t1051 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 @t1010)) % 1.32/1.55 (define @t1052 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1010 @t58)) % 1.32/1.55 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t1010)) % 1.32/1.55 (define @t1054 () (= @t1010 @t55)) % 1.32/1.55 (define @t1055 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1010 @t764)) % 1.32/1.55 (define @t1056 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t55 @t23)) % 1.32/1.55 (define @t1057 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t852 @t957) @t1010)) % 1.32/1.55 (define @t1058 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t313 @t312)) % 1.32/1.55 (define @t1059 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t313 @t312)) % 1.32/1.55 (define @t1060 () (= @t1008 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t530 @t312)))) % 1.32/1.55 (define @t1061 () (=> @t542 @t1060)) % 1.32/1.55 (define @t1062 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t496 @t495)) % 1.32/1.55 (define @t1063 () (@var "V_q_1" $$unsorted)) % 1.32/1.55 (define @t1064 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t852 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t465 @t56)) @t103)) % 1.32/1.55 (define @t1065 () (@list @t465 @t103 @t58 @t56)) % 1.32/1.55 (define @t1066 () (@list @t465 @t58 @t103 @t56)) % 1.32/1.55 (define @t1067 () (tptp.hBOOL (tptp.hAPP @t573 @t930))) % 1.32/1.55 (define @t1068 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t55 @t56)) % 1.32/1.55 (define @t1069 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t55 @t56)) % 1.32/1.55 (define @t1070 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t137)) % 1.32/1.55 (define @t1071 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t58 @t56)) % 1.32/1.55 (define @t1072 () (tptp.hAPP @t458 @t55)) % 1.32/1.55 (define @t1073 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t58 @t56)) % 1.32/1.55 (define @t1074 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t313 @t312)) % 1.32/1.55 (define @t1075 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t1074)) % 1.32/1.55 (define @t1076 () (tptp.hAPP (tptp.hAPP @t458 @t1008) @t312)) % 1.32/1.55 (define @t1077 () (= @t1074 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t530 @t312))) % 1.32/1.55 (define @t1078 () (=> @t542 @t1077)) % 1.32/1.55 (define @t1079 () (=> @t541 (= @t1074 @t313))) % 1.32/1.55 (define @t1080 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t517 @t313)) % 1.32/1.55 (define @t1081 () (tptp.c_Nat_OSuc @t1074)) % 1.32/1.55 (define @t1082 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t904 @t312)) % 1.32/1.55 (define @t1083 () (= @t1081 @t312)) % 1.32/1.55 (define @t1084 () (@var "V_h" $$unsorted)) % 1.32/1.55 (define @t1085 () (@var "T_1" $$unsorted)) % 1.32/1.55 (define @t1086 () (tptp.tc_Polynomial_Opoly @t1085)) % 1.32/1.55 (define @t1087 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1085)) % 1.32/1.55 (define @t1088 () (@list @t1085)) % 1.32/1.55 (define @t1089 () (@var "T_2" $$unsorted)) % 1.32/1.55 (define @t1090 () (tptp.tc_fun @t1089 @t1085)) % 1.32/1.55 (define @t1091 () (@list @t1089 @t1085)) % 1.32/1.55 (define @t1092 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t1093 () (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t1094 () (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.32/1.55 (define @t1095 () (tptp.class_Rings_Oidom @t1085)) % 1.32/1.55 (define @t1096 () (tptp.class_Rings_Olinordered__idom @t1085)) % 1.32/1.55 (define @t1097 () (tptp.class_Rings_Ocomm__semiring__0 @t1085)) % 1.32/1.55 (define @t1098 () (tptp.class_Rings_Ocomm__semiring__1 @t1085)) % 1.32/1.55 (define @t1099 () (tptp.class_Groups_Ocomm__monoid__add @t1085)) % 1.32/1.55 (define @t1100 () (tptp.class_Fields_Ofield @t1085)) % 1.32/1.55 (define @t1101 () (tptp.class_Groups_Oab__group__add @t1085)) % 1.32/1.55 (define @t1102 () (tptp.class_Rings_Ocomm__ring__1 @t1085)) % 1.32/1.55 (define @t1103 () (tptp.class_Rings_Ocomm__ring @t1085)) % 1.32/1.55 (define @t1104 () (tptp.hBOOL (tptp.c_fequal @t38 @t39))) % 1.32/1.55 (define @t1105 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_r____ @t12)) % 1.32/1.55 (define @t1106 () (not @t261)) % 1.32/1.55 (define @t1107 () (not @t10)) % 1.32/1.55 (define @t1108 () (or @t49 @t1106 @t260)) % 1.32/1.55 (define @t1109 () (not @t36)) % 1.32/1.55 (define @t1110 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 tptp.v_r____)) % 1.32/1.55 (define @t1111 () (not @t1094)) % 1.32/1.55 (define @t1112 () (or @t1111 @t1105 @t1110)) % 1.32/1.55 (define @t1113 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 tptp.v_r____)) % 1.32/1.55 (define @t1114 () (not @t1110)) % 1.32/1.55 (define @t1115 () (not @t16)) % 1.32/1.55 (define @t1116 () (not @t1093)) % 1.32/1.55 (define @t1117 () (or @t1116 @t1115 @t1114 @t1113)) % 1.32/1.55 (define @t1118 () (= @t109 @t112)) % 1.32/1.55 (define @t1119 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t13 @t14)) % 1.32/1.55 (define @t1120 () (= @t15 @t1119)) % 1.32/1.55 (define @t1121 () (not @t1092)) % 1.32/1.55 (define @t1122 () (or @t1121 @t1120)) % 1.32/1.55 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.32/1.55 (assume @p2 (not (= tptp.v_p @t7))) % 1.32/1.55 (assume @p3 (forall @t11 (=> @t10 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t8)))) % 1.32/1.55 (assume @p4 @t16) % 1.32/1.55 (assume @p5 (forall @t18 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17 @t17))) % 1.32/1.55 (assume @p6 (forall @t22 (or @t21 @t20))) % 1.32/1.55 (assume @p7 (forall @t26 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t25 @t23) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t23))))) % 1.32/1.55 (assume @p8 (forall @t22 (=> @t21 (=> @t20 @t27)))) % 1.32/1.55 (assume @p9 (forall @t32 (=> @t31 (= @t30 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t5 @t4)))))) % 1.32/1.55 (assume @p10 (forall @t37 (=> @t36 (or @t35 @t34)))) % 1.32/1.55 (assume @p11 (forall @t44 (=> @t43 (= @t42 (and @t41 @t40))))) % 1.32/1.55 (assume @p12 (forall @t37 (=> @t10 (=> @t45 @t35)))) % 1.32/1.55 (assume @p13 (forall (@list @t38 @t1 @t2 @t9 @t28) (=> @t31 (=> @t30 (tptp.c_Orderings_Oord__class_Oless__eq @t28 (tptp.hAPP @t2 @t38) (tptp.hAPP @t1 @t38)))))) % 1.32/1.55 (assume @p14 @t46) % 1.32/1.55 (assume @p15 (forall @t48 (=> @t47 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t19 @t8) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t19 @t33))))) % 1.32/1.55 (assume @p16 (forall @t37 (=> @t36 (=> @t49 @t34)))) % 1.32/1.55 (assume @p17 (forall @t51 (=> @t43 (=> @t34 (=> @t50 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t19 @t8)))))) % 1.32/1.55 (assume @p18 (forall @t52 (=> @t43 (=> @t34 (=> @t35 @t45))))) % 1.32/1.55 (assume @p19 (forall @t54 (=> @t10 (=> @t35 (=> @t53 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t19)))))) % 1.32/1.55 (assume @p20 (forall @t37 (=> @t43 (=> @t35 (=> @t34 @t45))))) % 1.32/1.55 (assume @p21 (forall @t61 (=> @t43 (=> @t60 (=> @t59 @t57))))) % 1.32/1.55 (assume @p22 (forall @t65 (=> @t64 (=> @t63 (=> @t59 @t62))))) % 1.32/1.55 (assume @p23 (forall @t65 (=> @t43 (=> @t66 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t56 @t58) @t57))))) % 1.32/1.55 (assume @p24 (forall @t65 (=> @t64 (=> @t66 (=> @t67 @t62))))) % 1.32/1.55 (assume @p25 (forall @t69 (=> @t43 (=> @t40 @t68)))) % 1.32/1.55 (assume @p26 (forall @t37 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t73 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t71 @t70))))) % 1.32/1.55 (assume @p27 (forall @t77 (=> @t76 (= (tptp.c_RealVector_Onorm__class_Onorm @t9 @t75) @t14)))) % 1.32/1.55 (assume @p28 (forall @t82 (=> @t74 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t81 @t80) @t79)))) % 1.32/1.55 (assume @p29 (forall @t88 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.c_Groups_Oabs__class_Oabs @t9 @t86) @t85)))) % 1.32/1.55 (assume @p30 (forall @t89 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t84)))) % 1.32/1.55 (assume @p31 (forall @t93 (=> @t87 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t92 @t78) @t91)))) % 1.32/1.55 (assume @p32 (forall @t89 (=> @t87 (=> @t95 @t94)))) % 1.32/1.55 (assume @p33 (forall @t77 (=> @t96 (not (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t75 @t78))))) % 1.32/1.55 (assume @p34 (forall @t77 (=> @t96 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t75)))) % 1.32/1.55 (assume @p35 (forall @t93 (=> @t99 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t98) @t97)))) % 1.32/1.55 (assume @p36 (forall @t93 (=> @t99 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t98 @t78) @t100)))) % 1.32/1.55 (assume @p37 (forall @t88 (=> @t102 (=> @t95 (=> @t101 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t86)))))) % 1.32/1.55 (assume @p38 (forall @t105 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t103) @t104))) % 1.32/1.55 (assume @p39 (not (= @t80 @t14))) % 1.32/1.55 (assume @p40 (forall @t11 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t71)))) % 1.32/1.55 (assume @p41 (forall @t82 (=> @t106 (= (= @t78 @t38) @t79)))) % 1.32/1.55 (assume @p42 (forall @t108 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t17) (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 @t17 @t19)) @t107)))) % 1.32/1.55 (assume @p43 (forall @t61 (=> @t111 (=> (= @t110 @t109) @t59)))) % 1.32/1.55 (assume @p44 (forall @t65 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t9) @t113))) % 1.32/1.55 (assume @p45 (forall @t65 (=> @t111 @t113))) % 1.32/1.55 (assume @p46 (forall (@list @t114 @t90 @t115 @t9) (=> @t111 (= (= @t118 @t117) @t116)))) % 1.32/1.55 (assume @p47 (forall (@list @t114 @t115 @t90 @t9) (=> @t111 (= (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t90 @t115) @t119) @t116)))) % 1.32/1.55 (assume @p48 (forall @t65 (=> (tptp.class_Groups_Oab__semigroup__add @t9) @t122))) % 1.32/1.55 (assume @p49 (forall @t82 (=> (tptp.class_Groups_Oone @t9) (= (= @t75 @t38) (= @t38 @t75))))) % 1.32/1.55 (assume @p50 (forall @t89 (=> @t87 (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t84) @t84)))) % 1.32/1.55 (assume @p51 (forall @t89 (=> @t124 @t123))) % 1.32/1.55 (assume @p52 (forall @t89 (=> @t125 @t123))) % 1.32/1.55 (assume @p53 (forall @t93 (=> @t99 (= (= @t78 @t98) @t91)))) % 1.32/1.55 (assume @p54 (forall @t89 (=> @t124 @t126))) % 1.32/1.55 (assume @p55 (forall @t89 (=> @t125 @t126))) % 1.32/1.55 (assume @p56 (forall @t130 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t119 @t128) @t127)))) % 1.32/1.55 (assume @p57 (forall @t132 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t117 @t131) @t127)))) % 1.32/1.55 (assume @p58 (forall @t65 (=> @t134 (=> @t63 @t133)))) % 1.32/1.55 (assume @p59 (forall @t65 (=> @t134 (=> @t63 @t136)))) % 1.32/1.55 (assume @p60 (forall @t140 (=> @t134 (=> @t63 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t112 @t138)))))) % 1.32/1.55 (assume @p61 (forall @t141 (=> @t129 (=> @t133 @t63)))) % 1.32/1.55 (assume @p62 (forall @t142 (=> @t129 (=> @t136 @t63)))) % 1.32/1.55 (assume @p63 (forall @t77 (=> @t143 (not (= @t78 @t75))))) % 1.32/1.55 (assume @p64 (forall @t77 (=> @t143 (not (= @t75 @t78))))) % 1.32/1.55 (assume @p65 (forall @t82 (=> @t74 (= (= @t81 @t80) @t79)))) % 1.32/1.55 (assume @p66 (forall @t77 (=> @t74 (= (tptp.c_RealVector_Onorm__class_Onorm @t9 @t78) @t80)))) % 1.32/1.55 (assume @p67 (forall @t93 (=> @t87 (= (= @t92 @t78) @t91)))) % 1.32/1.55 (assume @p68 (forall @t77 (=> @t87 (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t78) @t78)))) % 1.32/1.55 (assume @p69 (forall @t89 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t55 @t84)))) % 1.32/1.55 (assume @p70 (forall @t88 (=> @t87 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t84 @t58) @t63)))) % 1.32/1.55 (assume @p71 (forall @t88 (=> @t87 (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t85) @t85)))) % 1.32/1.55 (assume @p72 (forall @t77 (=> @t144 (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t75) @t75)))) % 1.32/1.55 (assume @p73 (forall @t89 (=> @t74 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t145) @t145)))) % 1.32/1.55 (assume @p74 (forall @t88 (=> @t102 (=> @t147 (=> @t146 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t86 @t78)))))) % 1.32/1.55 (assume @p75 (forall (@list @t55 @t58 @t56 @t9) (=> @t102 (=> @t149 (=> @t60 @t148))))) % 1.32/1.55 (assume @p76 (forall @t65 (=> @t102 (=> @t95 (=> @t67 @t148))))) % 1.32/1.55 (assume @p77 (forall @t44 (=> @t102 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t38) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t39) (= (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t38 @t39) @t78) @t151)))))) % 1.32/1.55 (assume @p78 (not (= @t152 @t7))) % 1.32/1.55 (assume @p79 (forall @t93 (=> @t99 (= (= @t98 @t78) @t91)))) % 1.32/1.55 (assume @p80 (forall (@list @t90 @t115 @t9) (=> @t153 (= (= @t115 @t118) @t91)))) % 1.32/1.55 (assume @p81 (forall @t89 (=> @t154 @t123))) % 1.32/1.55 (assume @p82 (forall @t89 (=> @t154 @t126))) % 1.32/1.55 (assume @p83 (forall @t160 (=> @t106 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t9 @t157) @t159) @t158)))) % 1.32/1.55 (assume @p84 (forall @t11 (=> @t74 (and (=> @t163 (= @t162 @t80)) (=> (not @t163) (= @t162 @t14)))))) % 1.32/1.55 (assume @p85 (forall @t165 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 @t164)))) % 1.32/1.55 (assume @p86 (forall @t169 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_r____ @t168) @t167))) % 1.32/1.55 (assume @p87 (forall @t177 (=> (tptp.class_Rings_Olinordered__semiring__1 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t55) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t33 @t55) (=> @t176 (=> @t175 (=> @t174 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t173 @t55))))))))) % 1.32/1.55 (assume @p88 (forall @t140 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t9 @t181) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t9 @t179) (tptp.c_RealVector_Onorm__class_Onorm @t9 @t178)))))) % 1.32/1.55 (assume @p89 (forall @t191 (=> @t190 (= @t189 (tptp.c_Orderings_Oord__class_Oless @t9 @t114 @t184))))) % 1.32/1.55 (assume @p90 (forall @t191 (=> @t190 (= @t189 (tptp.c_Orderings_Oord__class_Oless @t9 @t193 @t182))))) % 1.32/1.55 (assume @p91 (forall @t197 (=> @t196 (=> @t195 (= @t194 (tptp.c_Orderings_Oord__class_Oless @t9 @t114 @t182)))))) % 1.32/1.55 (assume @p92 (forall @t197 (=> @t200 (=> @t195 (= @t199 @t198))))) % 1.32/1.55 (assume @p93 (forall @t209 (=> @t208 (=> @t207 (=> @t206 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t205 (tptp.hAPP (tptp.hAPP @t202 @t103) @t201))))))) % 1.32/1.55 (assume @p94 (forall @t37 (=> @t144 @t214))) % 1.32/1.55 (assume @p95 (forall @t221 (=> @t208 (= (tptp.hAPP @t220 @t215) (tptp.c_Groups_Ominus__class_Ominus @t9 @t218 @t217))))) % 1.32/1.55 (assume @p96 (forall @t227 (=> @t208 (= (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Groups_Ominus__class_Ominus @t9 @t55 @t222)) @t58) (tptp.c_Groups_Ominus__class_Ominus @t9 @t226 @t224))))) % 1.32/1.55 (assume @p97 (forall @t65 (=> (tptp.class_Groups_Oab__semigroup__mult @t9) (= (tptp.hAPP (tptp.hAPP @t171 @t226) @t56) (tptp.hAPP @t225 @t229))))) % 1.32/1.55 (assume @p98 (forall @t234 (=> @t208 (= (tptp.hAPP @t231 @t219) (tptp.c_Groups_Ominus__class_Ominus @t9 @t233 @t232))))) % 1.32/1.55 (assume @p99 (forall @t237 (=> @t208 (= (tptp.hAPP @t225 (tptp.c_Groups_Ominus__class_Ominus @t9 @t58 @t235)) (tptp.c_Groups_Ominus__class_Ominus @t9 @t226 @t236))))) % 1.32/1.55 (assume @p100 (forall @t37 (=> @t239 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t204) (tptp.hAPP @t238 (tptp.c_Groups_Osgn__class_Osgn @t9 @t33)))))) % 1.32/1.55 (assume @p101 (forall @t88 (=> @t144 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t226) (tptp.hAPP (tptp.hAPP @t171 @t240) (tptp.c_Groups_Osgn__class_Osgn @t9 @t58)))))) % 1.32/1.55 (assume @p102 (forall @t89 (=> @t144 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t240) @t240)))) % 1.32/1.55 (assume @p103 (forall @t88 (=> @t154 (= @t226 @t241)))) % 1.32/1.55 (assume @p104 (forall @t249 (=> @t154 (= @t248 (tptp.hAPP @t246 (tptp.hAPP @t244 @t242)))))) % 1.32/1.55 (assume @p105 (forall @t249 (=> @t154 (= @t248 (tptp.hAPP @t250 @t242))))) % 1.32/1.55 (assume @p106 (forall @t255 (=> @t154 (= @t254 (tptp.hAPP @t244 (tptp.hAPP @t252 @t245)))))) % 1.32/1.55 (assume @p107 (forall @t255 (=> @t154 (= @t254 (tptp.hAPP @t250 @t251))))) % 1.32/1.55 (assume @p108 (forall @t257 (=> @t154 (= @t256 (tptp.hAPP @t244 (tptp.hAPP @t252 @t247)))))) % 1.32/1.55 (assume @p109 (forall @t257 (=> @t154 (= @t256 (tptp.hAPP @t246 (tptp.hAPP @t253 @t242)))))) % 1.32/1.55 (assume @p110 (forall @t257 (=> @t154 (= @t256 (tptp.hAPP @t250 (tptp.hAPP @t252 @t242)))))) % 1.32/1.55 (assume @p111 (forall @t37 (=> @t36 (=> @t212 (=> @t213 @t210))))) % 1.32/1.55 (assume @p112 (forall @t37 (=> @t10 (=> @t211 (not @t210))))) % 1.32/1.55 (assume @p113 (forall @t51 (=> @t43 (=> @t210 @t259)))) % 1.32/1.55 (assume @p114 (forall @t54 (=> @t10 (=> @t211 @t262)))) % 1.32/1.55 (assume @p115 (forall @t61 (=> @t43 (=> @t264 (=> @t59 @t263))))) % 1.32/1.55 (assume @p116 (forall @t65 (=> @t64 (=> @t266 (=> @t59 @t265))))) % 1.32/1.55 (assume @p117 (forall @t65 (=> @t43 (=> @t66 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t56 @t58) @t263))))) % 1.32/1.55 (assume @p118 (forall @t65 (=> @t64 (=> @t66 (=> @t267 @t265))))) % 1.32/1.55 (assume @p119 (forall @t268 (=> @t43 (=> @t264 (not @t266))))) % 1.32/1.55 (assume @p120 (forall @t88 (=> @t10 (=> @t266 (not @t264))))) % 1.32/1.55 (assume @p121 (forall @t37 (=> @t43 (=> @t211 (not (= @t33 @t8)))))) % 1.32/1.55 (assume @p122 (forall @t37 (=> @t43 (=> @t211 @t213)))) % 1.32/1.55 (assume @p123 (forall @t37 (=> @t36 @t214))) % 1.32/1.55 (assume @p124 (forall @t69 (=> @t36 (=> (not @t272) @t271)))) % 1.32/1.55 (assume @p125 (forall @t37 (=> @t36 (or @t211 @t45 @t210)))) % 1.32/1.55 (assume @p126 (forall @t44 (=> @t36 (= @t270 (or @t272 @t42))))) % 1.32/1.55 (assume @p127 (forall @t44 (=> @t36 (= @t273 (or @t269 @t272))))) % 1.32/1.55 (assume @p128 (forall @t11 (=> @t10 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t8))))) % 1.32/1.55 (assume @p129 (forall @t274 (=> @t196 (= @t194 (tptp.c_Orderings_Oord__class_Oless @t9 @t192 @t78))))) % 1.32/1.55 (assume @p130 (forall @t280 (=> @t279 (= @t278 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t203 @t277) @t276))))) % 1.32/1.55 (assume @p131 (forall @t191 (=> @t279 (= @t281 (= @t193 @t182))))) % 1.32/1.55 (assume @p132 (forall @t191 (=> @t279 (= @t281 (= @t114 @t184))))) % 1.32/1.55 (assume @p133 (forall @t280 (=> @t208 (= @t278 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t275 @t277) @t276) (tptp.hAPP @t225 @t277)))))) % 1.32/1.55 (assume @p134 (forall @t61 (=> @t287 (=> @t264 (=> @t286 @t285))))) % 1.32/1.55 (assume @p135 (forall @t61 (=> @t287 (=> @t264 (=> @t286 @t289))))) % 1.32/1.55 (assume @p136 (forall @t65 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t9) @t291))) % 1.32/1.55 (assume @p137 (forall @t65 (=> @t292 @t291))) % 1.32/1.55 (assume @p138 (forall @t65 (=> @t292 (=> @t266 (=> @t290 @t289))))) % 1.32/1.55 (assume @p139 (forall @t88 (=> @t287 (=> @t295 (=> @t294 @t293))))) % 1.32/1.55 (assume @p140 (forall @t88 (=> @t292 (=> @t295 (=> @t297 @t296))))) % 1.32/1.55 (assume @p141 (forall @t132 (=> @t287 (=> @t303 (= @t302 @t298))))) % 1.32/1.55 (assume @p142 (forall @t268 (=> @t292 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t241) @t305)))) % 1.32/1.55 (assume @p143 (forall @t88 (=> @t292 (=> @t293 @t305)))) % 1.32/1.55 (assume @p144 (forall @t88 (=> @t292 (=> @t304 (=> @t294 (tptp.c_Orderings_Oord__class_Oless @t9 @t241 @t78)))))) % 1.32/1.55 (assume @p145 (forall @t88 (=> @t292 (=> @t304 (=> @t294 @t296))))) % 1.32/1.55 (assume @p146 (forall @t88 (=> @t292 (=> @t304 (=> @t297 @t293))))) % 1.32/1.55 (assume @p147 (forall @t132 (=> @t287 (=> @t306 (= @t302 @t194))))) % 1.32/1.55 (assume @p148 (forall @t132 (=> @t287 (= @t302 @t307)))) % 1.32/1.55 (assume @p149 (forall @t130 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t309 @t308) @t307)))) % 1.32/1.55 (assume @p150 (forall @t89 (=> @t311 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t310 @t78))))) % 1.32/1.55 (assume @p151 (forall (@list @t312 @t313 @t9) (=> @t96 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t313) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t312) (tptp.c_Orderings_Oord__class_Oless @t9 @t75 (tptp.hAPP @t314 @t312))))))) % 1.32/1.55 (assume @p152 (forall (@list @t33 @t8 @t19) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t19) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t33) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t315 @t8) (tptp.hAPP @t315 @t33)))))) % 1.32/1.55 (assume @p153 (forall @t319 (=> @t318 (=> @t317 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t316))))) % 1.32/1.55 (assume @p154 (forall @t327 (=> @t326 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t325 @t323) @t320)))) % 1.32/1.55 (assume @p155 (forall @t331 (=> @t144 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t84 @t56) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t83 @t137) (tptp.c_Orderings_Oord__class_Oless @t9 @t330 @t328)))))) % 1.32/1.55 (assume @p156 (forall @t37 (=> @t239 (= @t205 @t332)))) % 1.32/1.55 (assume @p157 (forall @t93 (=> @t144 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t334 @t78) @t333)))) % 1.32/1.55 (assume @p158 (forall @t93 (=> @t144 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t334) @t335)))) % 1.32/1.55 (assume @p159 (forall @t89 (=> @t154 @t337))) % 1.32/1.55 (assume @p160 (forall @t89 (=> @t154 @t338))) % 1.32/1.55 (assume @p161 (forall @t54 (=> @t154 (= (tptp.hAPP @t203 (tptp.c_Groups_Oplus__class_Oplus @t9 @t33 @t19)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t204 (tptp.hAPP @t203 @t19)))))) % 1.32/1.55 (assume @p162 (forall @t197 (=> @t153 (= (and (not @t199) (not @t198)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t309 (tptp.hAPP @t185 @t182)) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t187 @t182) @t308))))))) % 1.32/1.55 (assume @p163 (forall @t65 (=> @t154 @t340))) % 1.32/1.55 (assume @p164 (forall (@list @t58 @t313 @t55 @t9) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t341 (tptp.hAPP @t228 @t313)) (tptp.hAPP @t339 @t313))))) % 1.32/1.55 (assume @p165 (forall (@list @t321 @t38 @t39 @t342 @t9) (=> @t153 (= (= (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t344 @t39) (tptp.hAPP @t343 @t321)) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t344 @t321) (tptp.hAPP @t343 @t39))) (or (= @t342 @t38) (= @t39 @t321)))))) % 1.32/1.55 (assume @p166 (forall @t11 (=> @t144 (= (tptp.hAPP @t238 (tptp.c_Groups_Oabs__class_Oabs @t9 @t8)) @t8)))) % 1.32/1.55 (assume @p167 (forall (@list @t23 @t9) (=> @t144 (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t23) (tptp.hAPP (tptp.hAPP @t171 @t23) (tptp.c_Groups_Osgn__class_Osgn @t9 @t23)))))) % 1.32/1.55 (assume @p168 (forall @t89 (=> @t154 @t345))) % 1.32/1.55 (assume @p169 (forall @t89 (=> @t154 @t346))) % 1.32/1.55 (assume @p170 (forall @t191 (=> @t190 (= @t347 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t114 @t184))))) % 1.32/1.55 (assume @p171 (forall @t191 (=> @t190 (= @t347 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t193 @t182))))) % 1.32/1.55 (assume @p172 (forall @t132 (=> @t287 (=> @t306 (= @t348 @t127))))) % 1.32/1.55 (assume @p173 (forall @t132 (=> @t287 (=> @t303 (= @t348 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t115 @t90)))))) % 1.32/1.55 (assume @p174 (forall @t140 (=> @t292 (=> @t266 (=> @t352 (=> @t297 @t351)))))) % 1.32/1.55 (assume @p175 (forall @t140 (=> @t292 (=> @t266 (=> @t352 (=> @t95 @t351)))))) % 1.32/1.55 (assume @p176 (forall @t140 (=> @t292 (=> @t266 (=> @t139 (=> @t95 (=> @t290 @t350))))))) % 1.32/1.55 (assume @p177 (forall @t140 (=> @t292 (=> @t63 (=> @t352 (=> @t304 @t351)))))) % 1.32/1.55 (assume @p178 (forall @t141 (=> @t355 @t354))) % 1.32/1.55 (assume @p179 (forall @t141 (=> @t292 @t354))) % 1.32/1.55 (assume @p180 (forall @t142 (=> @t355 @t356))) % 1.32/1.55 (assume @p181 (forall @t142 (=> @t292 @t356))) % 1.32/1.55 (assume @p182 (forall @t141 (=> @t292 (=> @t358 @t357)))) % 1.32/1.55 (assume @p183 (forall @t142 (=> @t292 (=> @t359 @t357)))) % 1.32/1.55 (assume @p184 (forall @t11 (=> (tptp.class_Rings_Oring__1 @t9) (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t360 @t75) (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Groups_Oplus__class_Oplus @t9 @t8 @t75)) (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t75)))))) % 1.32/1.55 (assume @p185 (forall @t88 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t364 @t362)))) % 1.32/1.55 (assume @p186 (forall @t327 (=> @t326 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t366 @t38) (tptp.hAPP @t366 @t39)) @t365)))) % 1.32/1.55 (assume @p187 (forall @t327 (=> @t326 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t325 @t323) @t365)))) % 1.32/1.55 (assume @p188 (forall @t37 (=> @t208 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t205 @t332)))) % 1.32/1.55 (assume @p189 (forall @t93 (=> @t144 (= (= @t334 @t75) @t335)))) % 1.32/1.55 (assume @p190 (forall @t89 (=> @t144 (=> @t304 (= @t240 @t75))))) % 1.32/1.55 (assume @p191 (forall @t89 (=> @t367 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t55 @t78) @t55)))) % 1.32/1.55 (assume @p192 (forall @t89 (=> @t367 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t55 @t55) @t78)))) % 1.32/1.55 (assume @p193 (forall @t274 (=> @t200 (= @t199 @t368)))) % 1.32/1.55 (assume @p194 (forall @t274 (=> @t367 (= @t368 @t199)))) % 1.32/1.55 (assume @p195 (forall @t197 (=> @t196 (=> @t195 (= @t127 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t114 @t182)))))) % 1.32/1.55 (assume @p196 (forall @t165 (=> @t318 (= (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t8) @t14)))) % 1.32/1.55 (assume @p197 (forall @t88 (=> @t367 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t361 @t58) @t55)))) % 1.32/1.55 (assume @p198 (forall @t88 (=> @t367 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t86 @t58) @t55)))) % 1.32/1.55 (assume @p199 (forall @t51 (=> @t43 (=> @t34 @t259)))) % 1.32/1.55 (assume @p200 @t370) % 1.32/1.55 (assume @p201 (forall @t51 (=> @t43 (=> @t210 (=> @t50 @t258))))) % 1.32/1.55 (assume @p202 (forall @t54 (=> @t10 (=> @t211 (=> @t53 @t260))))) % 1.32/1.55 (assume @p203 (forall @t268 (=> @t43 (=> @t60 (=> @t371 @t264))))) % 1.32/1.55 (assume @p204 (forall @t88 (=> @t43 (=> @t63 (=> @t371 @t266))))) % 1.32/1.55 (assume @p205 (forall @t37 (=> @t43 (=> @t35 (or @t211 @t45))))) % 1.32/1.55 (assume @p206 (forall @t44 (=> @t36 (=> @t41 @t271)))) % 1.32/1.55 (assume @p207 (forall @t37 (=> @t10 (=> @t211 @t35)))) % 1.32/1.55 (assume @p208 (forall @t52 (=> @t36 (=> @t34 @t212)))) % 1.32/1.55 (assume @p209 (forall @t88 (=> @t43 (=> @t371 (=> @t60 @t264))))) % 1.32/1.55 (assume @p210 (forall @t88 (=> @t43 (=> @t371 (=> @t63 @t266))))) % 1.32/1.55 (assume @p211 (forall @t44 (=> @t36 (=> @t270 @t68)))) % 1.32/1.55 (assume @p212 @t374) % 1.32/1.55 (assume @p213 (forall @t37 (=> @t36 (=> @t212 @t34)))) % 1.32/1.55 (assume @p214 (forall @t44 (=> @t43 (= @t41 (or @t269 @t42))))) % 1.32/1.55 (assume @p215 (forall @t44 (=> @t10 (= @t269 (and @t41 (not @t40)))))) % 1.32/1.55 (assume @p216 (forall @t44 (=> @t43 (= @t269 (and @t41 @t273))))) % 1.32/1.55 (assume @p217 (forall @t37 (=> @t36 (or @t35 @t210)))) % 1.32/1.55 (assume @p218 (forall @t44 (=> @t36 (= (not @t41) @t272)))) % 1.32/1.55 (assume @p219 (forall @t44 (=> @t36 (= @t270 @t40)))) % 1.32/1.55 (assume @p220 (forall @t89 (=> @t375 @t337))) % 1.32/1.55 (assume @p221 (forall (@list @t58 @t9) (=> @t208 (= (tptp.hAPP @t336 @t58) @t78)))) % 1.32/1.55 (assume @p222 (forall @t376 (=> @t208 (= (tptp.hAPP @t336 @t33) @t78)))) % 1.32/1.55 (assume @p223 (forall @t89 (=> @t375 @t338))) % 1.32/1.55 (assume @p224 (forall @t89 (=> @t208 @t338))) % 1.32/1.55 (assume @p225 (forall @t11 (=> @t208 (= (tptp.hAPP @t203 @t78) @t78)))) % 1.32/1.55 (assume @p226 (forall @t274 (=> (tptp.class_Rings_Oring__no__zero__divisors @t9) (= (= @t377 @t78) (or @t91 (= @t115 @t78)))))) % 1.32/1.55 (assume @p227 (forall @t88 (=> @t383 (=> @t382 (=> @t380 (not @t378)))))) % 1.32/1.55 (assume @p228 (forall @t88 (=> @t383 (=> @t378 (or @t381 @t379))))) % 1.32/1.55 (assume @p229 (forall @t130 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t119 @t128) @t194)))) % 1.32/1.55 (assume @p230 (forall @t132 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t117 @t131) @t194)))) % 1.32/1.55 (assume @p231 (forall @t65 (=> @t385 (=> @t266 @t384)))) % 1.32/1.55 (assume @p232 (forall @t65 (=> @t385 (=> @t266 @t386)))) % 1.32/1.55 (assume @p233 (forall @t140 (=> @t385 (=> @t266 @t388)))) % 1.32/1.55 (assume @p234 (forall @t141 (=> @t129 (=> @t384 @t266)))) % 1.32/1.55 (assume @p235 (forall @t142 (=> @t129 (=> @t386 @t266)))) % 1.32/1.55 (assume @p236 (forall @t88 (=> @t74 (= @t362 (tptp.c_RealVector_Onorm__class_Onorm @t9 @t389))))) % 1.32/1.55 (assume @p237 (forall @t88 (=> @t87 (= @t391 @t390)))) % 1.32/1.55 (assume @p238 (forall @t237 (=> @t208 (= (tptp.hAPP @t225 (tptp.c_Groups_Oplus__class_Oplus @t9 @t58 @t235)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t226 @t236))))) % 1.32/1.55 (assume @p239 (forall @t234 (=> @t208 (= (tptp.hAPP @t231 @t72) (tptp.c_Groups_Oplus__class_Oplus @t9 @t233 @t232))))) % 1.32/1.55 (assume @p240 (forall @t65 (=> (tptp.class_Rings_Ocomm__semiring @t9) @t340))) % 1.32/1.55 (assume @p241 (forall @t227 (=> @t208 (= (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t222)) @t58) (tptp.c_Groups_Oplus__class_Oplus @t9 @t226 @t224))))) % 1.32/1.55 (assume @p242 (forall @t221 (=> @t208 (= (tptp.hAPP (tptp.hAPP @t171 @t72) @t215) (tptp.c_Groups_Oplus__class_Oplus @t9 @t218 @t217))))) % 1.32/1.55 (assume @p243 (forall (@list @t56 @t58 @t392 @t55 @t9) (=> (tptp.class_Rings_Osemiring @t9) (= (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t225 @t392) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t228 @t392) @t56)) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t339 @t392) @t56))))) % 1.32/1.55 (assume @p244 (forall @t89 (=> @t393 @t345))) % 1.32/1.55 (assume @p245 (forall @t89 (=> @t394 @t345))) % 1.32/1.55 (assume @p246 (forall @t89 (=> @t393 @t346))) % 1.32/1.55 (assume @p247 (forall @t89 (=> @t394 @t346))) % 1.32/1.55 (assume @p248 (forall @t397 (=> @t396 (= (= (tptp.hAPP @t395 @t90) (tptp.hAPP @t395 @t115)) @t199)))) % 1.32/1.55 (assume @p249 (forall @t397 (=> @t396 (= (= (tptp.hAPP (tptp.hAPP @t202 @t90) @t114) (tptp.hAPP (tptp.hAPP @t202 @t115) @t114)) @t199)))) % 1.32/1.55 (assume @p250 (forall @t398 (= @t365 (or @t320 @t42)))) % 1.32/1.55 (assume @p251 (forall @t398 (= @t320 (and @t365 @t273)))) % 1.32/1.55 (assume @p252 (forall @t88 (=> @t144 @t399))) % 1.32/1.55 (assume @p253 (forall @t89 (=> @t144 (= (tptp.hAPP @t329 @t84) @t310)))) % 1.32/1.55 (assume @p254 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t202 @t14) @t19) @t19))) % 1.32/1.55 (assume @p255 (forall @t405 (= (tptp.hAPP (tptp.hAPP @t202 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t403 @t401)) @t17) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t404 @t17) (tptp.hAPP @t402 @t17))))) % 1.32/1.55 (assume @p256 (forall @t93 (=> @t144 @t406))) % 1.32/1.55 (assume @p257 (forall (@list @t137 @t56 @t58 @t55 @t103 @t9) (=> @t153 (=> (not (= @t103 @t78)) (=> (and @t66 (not (= @t56 @t137))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 (tptp.hAPP @t407 @t56)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t58 (tptp.hAPP @t407 @t137))))))))) % 1.32/1.55 (assume @p258 (forall (@list @t313 @t9) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t313 @t313) (tptp.hAPP (tptp.hAPP @t171 @t408) @t313))))) % 1.32/1.55 (assume @p259 (forall (@list @t55 @t313 @t9) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t313 @t341) @t410)))) % 1.32/1.55 (assume @p260 (forall (@list @t313 @t55 @t9) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t341 @t313) @t410)))) % 1.32/1.55 (assume @p261 (forall @t77 (=> (tptp.class_Groups_Osgn__if @t9) @t411))) % 1.32/1.55 (assume @p262 (forall @t77 (=> @t74 @t411))) % 1.32/1.55 (assume @p263 (forall @t93 (=> @t144 (= (= @t334 @t78) @t91)))) % 1.32/1.55 (assume @p264 (forall @t82 (=> @t74 (= (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t38) @t78) @t79)))) % 1.32/1.55 (assume @p265 (forall @t77 (=> @t76 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t75) @t75)))) % 1.32/1.55 (assume @p266 (forall @t88 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t364) @t362)))) % 1.32/1.55 (assume @p267 (forall @t177 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t9) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t55) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t33 @t55) (=> @t176 (=> @t175 (=> @t174 (tptp.c_Orderings_Oord__class_Oless @t9 @t173 @t55))))))))) % 1.32/1.55 (assume @p268 (forall @t274 (=> @t196 (= @t127 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t192 @t78))))) % 1.32/1.55 (assume @p269 (forall @t88 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.c_Groups_Oabs__class_Oabs @t9 @t412) @t391)))) % 1.32/1.55 (assume @p270 (forall @t88 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t412 @t391)))) % 1.32/1.55 (assume @p271 (forall @t88 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t412 @t390)))) % 1.32/1.55 (assume @p272 (forall @t89 (=> @t311 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t310)))) % 1.32/1.55 (assume @p273 (forall @t274 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t377) (or (and @t97 @t414) (and @t100 @t413)))))) % 1.32/1.55 (assume @p274 (forall @t274 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t377 @t78) (or (and @t97 @t413) (and @t100 @t414)))))) % 1.32/1.55 (assume @p275 (forall @t88 (=> @t416 (=> @t95 (=> @t101 @t415))))) % 1.32/1.55 (assume @p276 (forall @t88 (=> @t416 (=> @t95 (=> @t146 @t417))))) % 1.32/1.55 (assume @p277 (forall @t88 (=> @t416 (=> @t95 (=> @t146 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t241 @t78)))))) % 1.32/1.55 (assume @p278 (forall @t88 (=> @t416 (=> @t147 (=> @t101 @t417))))) % 1.32/1.55 (assume @p279 (forall @t88 (=> @t190 (=> @t147 (=> @t146 @t415))))) % 1.32/1.55 (assume @p280 (forall @t65 (=> @t418 (=> @t63 (=> @t149 @t358))))) % 1.32/1.55 (assume @p281 (forall @t65 (=> @t418 @t419))) % 1.32/1.55 (assume @p282 (forall @t65 (=> (tptp.class_Rings_Oordered__comm__semiring @t9) @t419))) % 1.32/1.55 (assume @p283 (forall @t61 (=> @t190 (=> @t60 (=> @t420 @t358))))) % 1.32/1.55 (assume @p284 (forall @t61 (=> @t190 (=> @t60 (=> @t420 @t359))))) % 1.32/1.55 (assume @p285 (forall @t140 (=> @t418 (=> @t63 (=> @t139 (=> @t95 @t421)))))) % 1.32/1.55 (assume @p286 (forall @t140 (=> @t418 (=> @t63 (=> @t139 (=> @t101 @t421)))))) % 1.32/1.55 (assume @p287 (forall @t88 (=> @t190 (=> (or (and @t95 @t101) (and @t147 @t146)) @t415)))) % 1.32/1.55 (assume @p288 (forall @t88 (=> @t416 (=> (or (and @t95 @t146) (and @t147 @t101)) @t417)))) % 1.32/1.55 (assume @p289 (forall @t93 (=> @t99 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t98) @t335)))) % 1.32/1.55 (assume @p290 (forall @t93 (=> @t99 @t406))) % 1.32/1.55 (assume @p291 (forall @t88 (=> @t102 (=> @t304 @t423)))) % 1.32/1.55 (assume @p292 (forall @t65 (=> @t96 (=> @t304 @t425)))) % 1.32/1.55 (assume @p293 (forall @t88 (=> @t102 (=> @t295 @t427)))) % 1.32/1.55 (assume @p294 (forall @t140 (=> @t385 (=> @t266 (=> @t139 @t387))))) % 1.32/1.55 (assume @p295 (forall @t140 (=> @t385 (=> @t63 @t388)))) % 1.32/1.55 (assume @p296 (forall @t77 (=> @t96 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t78))))) % 1.32/1.55 (assume @p297 (forall @t77 (=> @t96 (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t75)))) % 1.32/1.55 (assume @p298 (forall @t398 (= @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t39) @t80)))) % 1.32/1.55 (assume @p299 (forall @t89 (=> @t96 (tptp.c_Orderings_Oord__class_Oless @t9 @t55 @t409)))) % 1.32/1.55 (assume @p300 (forall @t89 (=> @t87 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t84 @t78))))) % 1.32/1.55 (assume @p301 (forall @t93 (=> @t87 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t92) (not @t91))))) % 1.32/1.55 (assume @p302 (forall @t89 (=> @t87 (=> @t304 @t94)))) % 1.32/1.55 (assume @p303 (forall @t11 (=> @t74 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t80))))) % 1.32/1.55 (assume @p304 (forall @t398 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t429 (tptp.hAPP @t322 @t39)) @t80) (and @t428 (= @t39 @t80))))) % 1.32/1.55 (assume @p305 (forall @t88 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t391 @t85)))) % 1.32/1.55 (assume @p306 (forall @t140 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.c_Groups_Oabs__class_Oabs @t9 @t181) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.c_Groups_Oabs__class_Oabs @t9 @t179) (tptp.c_Groups_Oabs__class_Oabs @t9 @t178)))))) % 1.32/1.55 (assume @p307 (forall @t88 (=> @t102 (=> @t304 (=> @t101 @t422))))) % 1.32/1.55 (assume @p308 (forall @t88 (=> @t102 (=> @t95 @t423)))) % 1.32/1.55 (assume @p309 (forall @t65 (=> @t102 (=> @t304 (=> @t67 @t424))))) % 1.32/1.55 (assume @p310 (forall @t65 (=> @t102 (=> @t95 @t425)))) % 1.32/1.55 (assume @p311 (forall @t88 (=> @t102 (=> @t295 (=> @t146 @t426))))) % 1.32/1.55 (assume @p312 (forall @t88 (=> @t102 (=> @t147 @t427)))) % 1.32/1.55 (assume @p313 (forall @t37 (=> @t144 (=> @t432 (=> @t431 (=> @t430 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t204 @t8))))))) % 1.32/1.55 (assume @p314 (forall @t37 (=> @t144 (=> @t432 (=> @t431 (=> @t430 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t433 @t8))))))) % 1.32/1.55 (assume @p315 (forall @t77 (=> @t96 (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t408)))) % 1.32/1.55 (assume @p316 (forall @t88 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t364 (tptp.c_RealVector_Onorm__class_Onorm @t9 @t86))))) % 1.32/1.55 (assume @p317 (forall @t88 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t362 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t145 @t363))))) % 1.32/1.55 (assume @p318 (forall @t37 (=> @t144 (=> @t432 (= (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Groups_Oabs__class_Oabs @t9 @t33)) @t8) (tptp.c_Groups_Oabs__class_Oabs @t9 @t433)))))) % 1.32/1.55 (assume @p319 (forall @t88 (=> (tptp.class_Rings_Oordered__ring__abs @t9) (=> (and (or @t95 @t147) (or @t101 @t146)) @t399)))) % 1.32/1.55 (assume @p320 (forall @t82 (=> @t74 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t81) @t434)))) % 1.32/1.55 (assume @p321 (forall @t209 (=> @t74 (=> @t207 (=> @t206 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t73 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t103 @t201))))))) % 1.32/1.55 (assume @p322 @t437) % 1.32/1.55 (assume @p323 (forall @t439 (=> @t154 (= @t438 (tptp.c_Groups_Oplus__class_Oplus @t9 @t56 (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 @t137)))))) % 1.32/1.55 (assume @p324 (forall @t439 (=> @t154 (= @t438 (tptp.c_Groups_Oplus__class_Oplus @t9 @t112 @t137))))) % 1.32/1.55 (assume @p325 (forall @t65 (=> @t154 @t122))) % 1.32/1.55 (assume @p326 (forall @t65 (=> @t154 (= @t121 (tptp.c_Groups_Oplus__class_Oplus @t9 @t112 @t58))))) % 1.32/1.55 (assume @p327 (forall @t140 (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t86 @t180) (tptp.c_Groups_Oplus__class_Oplus @t9 @t112 @t138))))) % 1.32/1.55 (assume @p328 (forall @t165 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t164 @t14) @t8)))) % 1.32/1.55 (assume @p329 (forall (@list @t55 @t137) (=> @t46 (exists @t442 (forall @t169 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t137 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t55 tptp.v_cs____)) @t166))))))))) % 1.32/1.55 (assume @p330 (not (forall @t442 (not (forall @t169 (=> @t441 @t167)))))) % 1.32/1.55 (assume @p331 (forall (@list @t8 @t443 @t55 @t9) (=> @t447 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t446) @t8) (tptp.c_Groups_Oplus__class_Oplus @t9 @t55 (tptp.hAPP @t203 @t445)))))) % 1.32/1.55 (assume @p332 (forall (@list @t33 @t8 @t56 @t9) (=> @t74 (=> @t449 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 (tptp.hAPP @t448 @t70)) @t163))))) % 1.32/1.55 (assume @p333 (forall (@list @t450 @t90 @t38 @t9) (=> @t144 (= (tptp.c_Orderings_Oord__class_Oless @t9 (tptp.c_Groups_Oabs__class_Oabs @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t38 @t90)) @t450) (and (tptp.c_Orderings_Oord__class_Oless @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t90 @t450) @t38) (tptp.c_Orderings_Oord__class_Oless @t9 @t38 (tptp.c_Groups_Oplus__class_Oplus @t9 @t90 @t450))))))) % 1.32/1.55 (assume @p334 (forall @t37 (=> @t311 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t451 @t78))))) % 1.32/1.55 (assume @p335 (forall @t44 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t452) (or @t434 (not @t150)))))) % 1.32/1.55 (assume @p336 (forall @t37 (=> @t311 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t451)))) % 1.32/1.55 (assume @p337 (forall @t44 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t452 @t78) @t151)))) % 1.32/1.55 (assume @p338 (forall @t453 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t58 @t55)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t58)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t55)))) % 1.32/1.55 (assume @p339 (forall @t455 (= (tptp.hAPP (tptp.hAPP @t202 (tptp.hAPP @t404 @t401)) @t454) (tptp.hAPP @t404 (tptp.hAPP @t402 @t454))))) % 1.32/1.55 (assume @p340 (forall @t22 (= (tptp.hAPP @t315 @t17) (tptp.hAPP (tptp.hAPP @t202 @t17) @t19)))) % 1.32/1.55 (assume @p341 (forall @t32 (=> @t31 (= (tptp.c_Orderings_Oord__class_Oless @t29 @t2 @t1) (and @t30 (not (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t1 @t2))))))) % 1.32/1.55 (assume @p342 (forall @t463 (and (=> @t461 (= @t460 @t159)) (=> @t462 (= @t460 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t312 (tptp.hAPP (tptp.hAPP @t458 @t457) @t312))))))) % 1.32/1.55 (assume @p343 (forall @t464 (=> @t124 (= (tptp.c_Groups_Oplus__class_Oplus @t155 @t443 @t156) @t443)))) % 1.32/1.55 (assume @p344 (forall @t466 (=> @t124 (= (tptp.c_Groups_Oplus__class_Oplus @t155 @t156 @t465) @t465)))) % 1.32/1.55 (assume @p345 (forall @t464 (=> @t447 (= (tptp.hAPP @t468 @t156) @t156)))) % 1.32/1.55 (assume @p346 (forall @t466 (=> @t447 (= (tptp.hAPP (tptp.hAPP @t467 @t156) @t465) @t156)))) % 1.32/1.55 (assume @p347 (forall @t464 (=> @t200 (= (tptp.c_Groups_Ominus__class_Ominus @t155 @t443 @t156) @t443)))) % 1.32/1.55 (assume @p348 (forall (@list @t469 @t115 @t157 @t90 @t9) (=> @t106 (= (= @t471 (tptp.c_Polynomial_OpCons @t9 @t115 @t469)) (and @t199 @t470))))) % 1.32/1.55 (assume @p349 (forall (@list @t469 @t157 @t9) (=> @t474 (= (= @t472 (tptp.c_Polynomial_Opoly @t9 @t469)) @t470)))) % 1.32/1.55 (assume @p350 (forall @t477 (=> @t124 (= (tptp.c_Groups_Oplus__class_Oplus @t155 @t446 @t476) (tptp.c_Polynomial_OpCons @t9 @t86 @t475))))) % 1.32/1.55 (assume @p351 (forall @t477 (=> @t200 (= (tptp.c_Groups_Ominus__class_Ominus @t155 @t446 @t476) (tptp.c_Polynomial_OpCons @t9 @t361 @t478))))) % 1.32/1.55 (assume @p352 (forall @t481 (=> @t447 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t480) @t8) (tptp.hAPP (tptp.hAPP @t171 @t445) @t479))))) % 1.32/1.55 (assume @p353 (forall @t481 (=> @t447 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t475) @t8) (tptp.c_Groups_Oplus__class_Oplus @t9 @t445 @t479))))) % 1.32/1.55 (assume @p354 (forall @t481 (=> (tptp.class_Rings_Ocomm__ring @t9) (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t478) @t8) (tptp.c_Groups_Ominus__class_Ominus @t9 @t445 @t479))))) % 1.32/1.55 (assume @p355 (forall @t11 (=> @t154 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t482) @t8) @t75)))) % 1.32/1.55 (assume @p356 (forall @t160 (=> @t474 (= (= @t472 @t483) @t158)))) % 1.32/1.55 (assume @p357 (forall @t44 (=> @t287 (= (= @t452 @t78) @t151)))) % 1.32/1.55 (assume @p358 (forall (@list @t33 @t8 @t56) (=> @t449 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t164 (tptp.hAPP @t448 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t33))) (= @t8 @t80))))) % 1.32/1.55 (assume @p359 (forall @t484 (=> @t106 (= (= @t471 @t156) (and @t91 @t158))))) % 1.32/1.55 (assume @p360 (forall @t77 (=> @t106 (= (tptp.c_Polynomial_OpCons @t9 @t78 @t156) @t156)))) % 1.32/1.55 (assume @p361 (forall @t77 (=> @t154 (= @t482 (tptp.c_Polynomial_OpCons @t9 @t75 @t156))))) % 1.32/1.55 (assume @p362 (forall @t11 (=> @t447 (= (tptp.hAPP @t483 @t8) @t78)))) % 1.32/1.55 (assume @p363 (forall @t485 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t429)) @t428))) % 1.32/1.55 (assume @p364 (forall (@list @t90 @t157 @t9) (=> @t473 (= (= (tptp.hAPP @t472 @t90) @t78) (or @t158 (not (= (tptp.c_Polynomial_Oorder @t9 @t90 @t157) @t159))))))) % 1.32/1.55 (assume @p365 (forall @t486 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t159)))) % 1.32/1.55 (assume @p366 (forall @t486 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t159 @t312))) % 1.32/1.55 (assume @p367 (forall @t77 (=> @t208 (exists @t492 (and @t491 @t490))))) % 1.32/1.55 (assume @p368 (forall (@list @t25 @t24) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t493 @t24)))) % 1.32/1.55 (assume @p369 (forall (@list @t24 @t25) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t494 @t24)))) % 1.32/1.55 (assume @p370 (forall @t486 (= (tptp.hAPP (tptp.hAPP @t458 @t456) @t312) @t312))) % 1.32/1.55 (assume @p371 (forall @t500 (= (= @t456 @t499) @t497))) % 1.32/1.55 (assume @p372 (forall @t486 (= (tptp.hAPP @t501 @t456) @t312))) % 1.32/1.55 (assume @p373 (forall @t506 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t503 @t504) (exists @t505 (= @t504 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t503 @t502)))))) % 1.32/1.55 (assume @p374 (forall @t510 (=> @t509 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t508) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t507 @t25))))) % 1.32/1.55 (assume @p375 (forall @t515 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t512 @t514) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t513 @t511)))) % 1.32/1.55 (assume @p376 (forall @t520 (= (tptp.hAPP @t516 @t519) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t518 @t517)))) % 1.32/1.55 (assume @p377 (forall @t500 (= (= @t499 @t456) @t497))) % 1.32/1.55 (assume @p378 (forall @t463 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t312) @t313))) % 1.32/1.55 (assume @p379 (forall @t522 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t521 @t312) @t313))) % 1.32/1.55 (assume @p380 (forall @t26 (= @t525 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t523)))) % 1.32/1.55 (assume @p381 (forall (@list @t512 @t503 @t511) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t514 @t512) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t511 @t513)))) % 1.32/1.55 (assume @p382 (forall @t528 (= (tptp.hAPP (tptp.hAPP @t458 @t519) @t23) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t527 @t526)))) % 1.32/1.55 (assume @p383 (forall (@list @t103 @t465 @t443 @t9) (=> @t447 (= (tptp.hAPP (tptp.hAPP @t467 @t475) @t103) (tptp.c_Groups_Oplus__class_Oplus @t155 (tptp.hAPP @t468 @t103) (tptp.hAPP @t529 @t103)))))) % 1.32/1.55 (assume @p384 (forall @t520 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t532 @t531) @t530))) % 1.32/1.55 (assume @p385 (forall @t535 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t534 @t533) @t530))) % 1.32/1.55 (assume @p386 (forall @t539 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t538 @t537) @t536))) % 1.32/1.55 (assume @p387 (forall @t463 (=> @t542 @t540))) % 1.32/1.55 (assume @p388 (forall @t545 (=> @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t543)))) % 1.32/1.55 (assume @p389 (forall @t545 (=> @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t546)))) % 1.32/1.55 (assume @p390 (forall @t548 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t521 @t23))))) % 1.32/1.55 (assume @p391 (forall @t26 (=> @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t507 @t523)))) % 1.32/1.55 (assume @p392 (forall @t522 (=> @t549 @t540))) % 1.32/1.55 (assume @p393 (forall @t510 (=> @t509 (= @t551 @t550)))) % 1.32/1.55 (assume @p394 (forall (@list @t512 @t511 @t503) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t503 @t511) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t512 @t514) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t513 @t511))))) % 1.32/1.55 (assume @p395 (forall @t522 (=> @t549 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t530 @t312) @t313)))) % 1.32/1.55 (assume @p396 (forall @t515 (=> @t553 (= (= @t552 @t503) (= @t511 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t503 @t512)))))) % 1.32/1.55 (assume @p397 (forall @t510 (=> @t509 (= @t550 @t551)))) % 1.32/1.55 (assume @p398 (forall @t510 (=> @t509 (= @t555 @t554)))) % 1.32/1.55 (assume @p399 (forall @t510 (=> @t509 (= @t554 @t555)))) % 1.32/1.55 (assume @p400 (forall @t559 (=> @t544 (=> @t558 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t507 @t557))))) % 1.32/1.55 (assume @p401 (forall (@list @t312 @t313 @t556 @t23) (=> @t558 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t556) @t531) @t541)))) % 1.32/1.55 (assume @p402 (forall @t26 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t493 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t23)))) % 1.32/1.55 (assume @p403 (forall @t486 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t312)))) % 1.32/1.55 (assume @p404 (forall @t500 (= @t562 (or @t536 @t560)))) % 1.32/1.55 (assume @p405 (forall @t463 (= @t460 @t563))) % 1.32/1.55 (assume @p406 (forall @t520 (= (tptp.hAPP @t516 @t530) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t518 @t517)))) % 1.32/1.55 (assume @p407 (forall @t528 (= (tptp.hAPP (tptp.hAPP @t458 @t460) @t23) (tptp.hAPP @t459 @t526)))) % 1.32/1.55 (assume @p408 (forall @t26 (= @t525 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t23) @t25)))) % 1.32/1.55 (assume @p409 (forall @t528 (= (tptp.hAPP (tptp.hAPP @t458 @t530) @t23) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t526)))) % 1.32/1.55 (assume @p410 (forall @t319 (=> @t213 (=> (not @t564) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t33 @t8))))) % 1.32/1.55 (assume @p411 (forall @t522 (=> @t567 @t566))) % 1.32/1.55 (assume @p412 (forall (@list @t568 @t201) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t201 @t568) (not (= @t201 @t568))))) % 1.32/1.55 (assume @p413 (forall (@list @t312 @t23 @t25) (=> @t569 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t312) @t23)))) % 1.32/1.55 (assume @p414 (forall @t572 (=> @t541 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t313 @t556) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t571 @t570))))) % 1.32/1.55 (assume @p415 (forall (@list @t573 @t495 @t496) (=> (=> @t536 @t575) (=> (=> @t561 @t575) (=> (=> @t560 @t575) @t575))))) % 1.32/1.55 (assume @p416 (forall @t463 (=> (or @t541 @t565) @t576))) % 1.32/1.55 (assume @p417 (forall @t539 (=> @t581 (=> @t580 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t578) @t577))))) % 1.32/1.55 (assume @p418 (forall @t539 (=> @t581 (=> @t580 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t578) @t536))))) % 1.32/1.55 (assume @p419 (forall @t520 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t313) (=> @t547 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t23) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t23)) @t530))))) % 1.32/1.55 (assume @p420 (forall @t539 (=> @t581 (=> @t580 (= (= @t579 @t578) @t561))))) % 1.32/1.55 (assume @p421 (forall @t559 (=> @t586 (=> @t585 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t584 (tptp.hAPP @t582 @t556)))))) % 1.32/1.55 (assume @p422 (forall @t587 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t55 @t58) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t55) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t55 @t56) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t58 @t56)))))) % 1.32/1.55 (assume @p423 (forall @t463 (=> @t576 (=> @t566 @t541)))) % 1.32/1.55 (assume @p424 (forall @t588 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t312) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t24)) @t24)))) % 1.32/1.55 (assume @p425 (forall @t572 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t556) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t556))))) % 1.32/1.55 (assume @p426 (forall @t572 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t571 @t570)))) % 1.32/1.55 (assume @p427 (forall @t26 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t590 @t589)))) % 1.32/1.55 (assume @p428 (forall @t26 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t584 @t591)))) % 1.32/1.55 (assume @p429 (forall @t463 (=> @t541 @t576))) % 1.32/1.55 (assume @p430 (forall @t500 (= @t577 @t592))) % 1.32/1.55 (assume @p431 (forall @t500 (= @t536 (and @t577 @t562)))) % 1.32/1.55 (assume @p432 (forall @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t530 @t313))) % 1.32/1.55 (assume @p433 (forall @t594 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313 (tptp.hAPP @t459 @t593)))) % 1.32/1.55 (assume @p434 (forall @t594 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313 @t593))) % 1.32/1.55 (assume @p435 (forall @t463 (=> @t576 (=> @t549 @t565)))) % 1.32/1.55 (assume @p436 (forall @t26 (=> @t586 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t23) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t23))))) % 1.32/1.55 (assume @p437 (forall @t463 (=> @t565 @t576))) % 1.32/1.55 (assume @p438 (forall @t463 (or @t576 @t549))) % 1.32/1.55 (assume @p439 (forall @t486 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t312 @t312))) % 1.32/1.55 (assume @p440 (forall @t535 (=> @t595 (not (=> @t576 (not @t547)))))) % 1.32/1.55 (assume @p441 (forall @t535 (=> @t595 @t576))) % 1.32/1.55 (assume @p442 (forall @t535 (=> @t595 @t547))) % 1.32/1.55 (assume @p443 (forall @t559 (=> @t586 (=> @t585 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t507 @t557))))) % 1.32/1.55 (assume @p444 (forall @t26 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t507 @t523)))) % 1.32/1.55 (assume @p445 (forall @t545 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t546)))) % 1.32/1.55 (assume @p446 (forall @t545 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t543)))) % 1.32/1.55 (assume @p447 (forall @t539 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t538 @t537) @t577))) % 1.32/1.55 (assume @p448 (forall @t596 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t496 @t503) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t495 @t503)) @t561))) % 1.32/1.55 (assume @p449 (forall @t539 (= (= @t538 @t537) @t561))) % 1.32/1.55 (assume @p450 (forall @t528 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t519 @t23) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t533)))) % 1.32/1.55 (assume @p451 (forall @t48 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t8 @t597) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t33 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t8 @t19))))) % 1.32/1.55 (assume @p452 (forall @t463 (= @t519 @t521))) % 1.32/1.55 (assume @p453 (forall @t500 (= @t577 (exists @t600 (= @t495 @t599))))) % 1.32/1.55 (assume @p454 (forall @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t312 @t521))) % 1.32/1.55 (assume @p455 (forall @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t312 @t519))) % 1.32/1.55 (assume @p456 (forall @t486 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t159 @t312) @t159))) % 1.32/1.55 (assume @p457 (forall @t486 (= (tptp.hAPP (tptp.hAPP @t458 @t159) @t312) @t159))) % 1.32/1.55 (assume @p458 (forall @t486 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t159 @t312) @t312))) % 1.32/1.55 (assume @p459 (forall @t594 (= (tptp.hAPP @t459 @t159) @t159))) % 1.32/1.55 (assume @p460 (forall @t594 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t159) @t313))) % 1.32/1.55 (assume @p461 (forall @t594 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t159) @t313))) % 1.32/1.55 (assume @p462 (forall @t602 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t495 @t159) @t601))) % 1.32/1.55 (assume @p463 (forall @t594 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t313) @t159))) % 1.32/1.55 (assume @p464 (forall @t522 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t521) @t159))) % 1.32/1.55 (assume @p465 (forall @t500 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t496 @t495) @t159) @t577))) % 1.32/1.55 (assume @p466 (forall @t500 (= (= @t604 @t159) (and @t603 @t601)))) % 1.32/1.55 (assume @p467 (forall @t500 (= (= @t499 @t159) (or @t603 @t601)))) % 1.32/1.55 (assume @p468 (forall @t539 (= @t610 @t606))) % 1.32/1.55 (assume @p469 (forall @t596 (= (= @t613 @t612) @t606))) % 1.32/1.55 (assume @p470 (forall @t463 (=> @t576 @t614))) % 1.32/1.55 (assume @p471 (forall @t463 (=> (= @t313 @t460) (or (= @t312 @t456) @t461)))) % 1.32/1.55 (assume @p472 (forall @t463 (=> @t614 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t313) @t159) @t565)))) % 1.32/1.55 (assume @p473 (forall @t463 (=> (= @t519 @t313) @t615))) % 1.32/1.55 (assume @p474 (forall @t602 (= @t617 @t616))) % 1.32/1.55 (assume @p475 (forall @t626 (= @t625 (not (or (and @t624 @t623) (exists @t621 (and @t620 (not @t619)))))))) % 1.32/1.55 (assume @p476 (forall @t626 (= @t625 (and (=> @t624 @t622) (forall @t621 (=> @t620 @t619)))))) % 1.32/1.55 (assume @p477 (forall @t627 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t495 @t496)) @t536))) % 1.32/1.55 (assume @p478 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t604) (or @t628 @t616)))) % 1.32/1.55 (assume @p479 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t499) (and @t628 @t616)))) % 1.32/1.55 (assume @p480 (forall @t539 (= @t631 @t630))) % 1.32/1.55 (assume @p481 (forall @t596 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t613 @t612) @t630))) % 1.32/1.55 (assume @p482 (forall @t539 (= @t633 @t632))) % 1.32/1.55 (assume @p483 (forall @t596 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t613 @t612) @t632))) % 1.32/1.55 (assume @p484 (forall @t522 (=> @t635 (=> @t634 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t530 @t313))))) % 1.32/1.55 (assume @p485 (forall @t463 (=> @t541 @t636))) % 1.32/1.55 (assume @p486 (forall @t26 (=> @t544 (=> @t637 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t584 @t591))))) % 1.32/1.55 (assume @p487 (forall @t26 (=> @t544 (=> @t637 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t590 @t589))))) % 1.32/1.55 (assume @p488 (forall @t486 (=> @t636 @t635))) % 1.32/1.55 (assume @p489 (forall @t643 (=> @t553 (= @t642 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t496 @t639))))) % 1.32/1.55 (assume @p490 (forall @t646 (=> @t645 (= @t642 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t644 @t495))))) % 1.32/1.55 (assume @p491 (forall @t643 (=> @t553 (= @t647 (= @t496 @t639))))) % 1.32/1.55 (assume @p492 (forall (@list @t312 @t313 @t172 @t25 @t24) (=> @t586 (= @t650 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t24)) @t172) @t312)))))) % 1.32/1.55 (assume @p493 (forall @t643 (=> @t553 (= @t651 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t496 @t639))))) % 1.32/1.55 (assume @p494 (forall @t539 (= @t610 (or @t605 @t561)))) % 1.32/1.55 (assume @p495 (forall (@list @t23 @t25 @t172 @t24) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t649 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t648 @t23)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 @t493) @t172) @t23)))) % 1.32/1.55 (assume @p496 (forall @t539 (=> @t629 (= @t631 @t536)))) % 1.32/1.55 (assume @p497 (forall @t539 (=> @t629 (= @t610 @t561)))) % 1.32/1.55 (assume @p498 (forall @t539 (=> @t629 (= @t633 @t577)))) % 1.32/1.55 (assume @p499 (forall @t646 (=> @t645 (= @t651 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t644 @t495))))) % 1.32/1.55 (assume @p500 (forall (@list @t312 @t313 @t172 @t24 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t24) (= @t650 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 @t524) @t172) @t313) @t312))))) % 1.32/1.55 (assume @p501 (forall @t646 (=> @t645 (= @t647 (= @t644 @t495))))) % 1.32/1.55 (assume @p502 (forall (@list @t465 @t443 @t55 @t9) (=> @t447 (= (tptp.c_Polynomial_Opcompose @t9 @t446 @t465) (tptp.c_Groups_Oplus__class_Oplus @t155 (tptp.c_Polynomial_OpCons @t9 @t55 @t156) (tptp.hAPP @t529 @t652)))))) % 1.32/1.55 (assume @p503 (forall @t165 (=> @t655 (= (tptp.c_RComplete_Onatceiling @t654) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t653 @t456))))) % 1.32/1.55 (assume @p504 (forall @t11 (=> @t208 (exists @t492 (and @t491 @t657))))) % 1.32/1.55 (assume @p505 (forall @t376 (=> @t208 (exists @t492 (and @t491 @t658))))) % 1.32/1.55 (assume @p506 (= (tptp.c_RComplete_Onatceiling @t80) @t159)) % 1.32/1.55 (assume @p507 (forall @t466 (=> @t447 (= (tptp.c_Polynomial_Opcompose @t9 @t156 @t465) @t156)))) % 1.32/1.55 (assume @p508 (forall @t165 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t159 @t653))) % 1.32/1.55 (assume @p509 (forall @t319 (=> @t47 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t653 (tptp.c_RComplete_Onatceiling @t33))))) % 1.32/1.55 (assume @p510 (= (tptp.c_RComplete_Onatceiling @t14) @t456)) % 1.32/1.55 (assume @p511 (forall @t481 (=> @t447 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t652) @t8) (tptp.hAPP @t444 @t479))))) % 1.32/1.55 (assume @p512 (forall @t165 (=> @t659 (= @t653 @t159)))) % 1.32/1.55 (assume @p513 (forall @t485 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t660 @t456) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t14)))) % 1.32/1.55 (assume @p514 (forall @t165 (=> @t655 (= (tptp.c_RComplete_Onatfloor @t654) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t661 @t456))))) % 1.32/1.55 (assume @p515 (forall @t663 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t19) @t662))) % 1.32/1.55 (assume @p516 (forall @t48 (=> @t664 @t662))) % 1.32/1.55 (assume @p517 (forall @t319 (=> @t564 @t664))) % 1.32/1.55 (assume @p518 (= (tptp.c_RComplete_Onatfloor @t80) @t159)) % 1.32/1.55 (assume @p519 (forall @t165 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t159 @t661))) % 1.32/1.55 (assume @p520 (forall @t319 (=> @t47 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t661 (tptp.c_RComplete_Onatfloor @t33))))) % 1.32/1.55 (assume @p521 (= (tptp.c_RComplete_Onatfloor @t14) @t456)) % 1.32/1.55 (assume @p522 (forall @t165 (=> @t659 (= @t661 @t159)))) % 1.32/1.55 (assume @p523 (forall @t485 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 @t666) @t665))) % 1.32/1.55 (assume @p524 (forall @t668 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t55) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t458 @t667) (tptp.c_RComplete_Onatfloor @t58)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t202 @t55) @t58))))))) % 1.32/1.55 (assume @p525 (forall @t663 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t19) @t669))) % 1.32/1.55 (assume @p526 (forall @t48 (=> @t564 @t669))) % 1.32/1.55 (assume @p527 (forall @t673 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t671 @t8) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t672) (= @t653 @t670))))) % 1.32/1.55 (assume @p528 (forall @t484 (=> @t144 (= (tptp.c_Polynomial_Opos__poly @t9 @t471) (or (tptp.c_Polynomial_Opos__poly @t9 @t157) (and @t158 @t335)))))) % 1.32/1.55 (assume @p529 (forall (@list @t443 @t103) (exists @t676 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t674) (forall @t169 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t168 @t103) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t675 @t166)) @t674))))))) % 1.32/1.55 (assume @p530 (forall @t331 (=> @t200 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t112 @t138) (tptp.c_Groups_Oplus__class_Oplus @t9 @t361 (tptp.c_Groups_Ominus__class_Ominus @t9 @t56 @t137)))))) % 1.32/1.55 (assume @p531 (forall @t486 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t671))) % 1.32/1.55 (assume @p532 (forall @t486 (= (tptp.c_RComplete_Onatfloor @t671) @t312))) % 1.32/1.55 (assume @p533 (forall @t165 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t677) @t677))) % 1.32/1.55 (assume @p534 (forall @t627 (= (= @t680 @t679) @t678))) % 1.32/1.55 (assume @p535 (forall @t486 (= (tptp.c_RComplete_Onatceiling @t671) @t312))) % 1.32/1.55 (assume @p536 (forall @t602 (= (= @t680 @t80) @t601))) % 1.32/1.55 (assume @p537 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t159) @t80)) % 1.32/1.55 (assume @p538 (forall @t486 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t671 @t80)))) % 1.32/1.55 (assume @p539 (forall @t627 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t680 @t679) @t560))) % 1.32/1.55 (assume @p540 (forall @t627 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t680 @t679) @t681))) % 1.32/1.55 (assume @p541 (forall @t463 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t460) (tptp.hAPP (tptp.hAPP @t202 @t682) @t671)))) % 1.32/1.55 (assume @p542 (forall @t463 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t519) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t682 @t671)))) % 1.32/1.55 (assume @p543 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t456) @t14)) % 1.32/1.55 (assume @p544 (forall @t77 (=> @t144 (not (tptp.c_Polynomial_Opos__poly @t9 @t156))))) % 1.32/1.55 (assume @p545 (forall @t165 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t653)))) % 1.32/1.55 (assume @p546 (forall @t685 (=> @t144 (=> @t684 (=> @t683 (tptp.c_Polynomial_Opos__poly @t9 @t475)))))) % 1.32/1.55 (assume @p547 (forall @t685 (=> @t144 (=> @t684 (=> @t683 (tptp.c_Polynomial_Opos__poly @t9 @t480)))))) % 1.32/1.55 (assume @p548 (forall @t44 (=> @t144 (= (tptp.c_Orderings_Oord__class_Oless @t155 @t38 @t39) @t686)))) % 1.32/1.55 (assume @p549 (forall @t44 (=> @t144 (= (tptp.c_Orderings_Oord__class_Oless__eq @t155 @t38 @t39) (or @t42 @t686))))) % 1.32/1.55 (assume @p550 (forall @t602 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t680 @t80) @t601))) % 1.32/1.55 (assume @p551 (forall @t522 (=> @t549 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t530) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t682 @t671))))) % 1.32/1.55 (assume @p552 (forall @t165 (=> @t655 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t687 @t8)))) % 1.32/1.55 (assume @p553 (forall @t688 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t677 @t55) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t667)))) % 1.32/1.55 (assume @p554 (forall @t688 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t689) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t653 @t55)))) % 1.32/1.55 (assume @p555 (forall @t602 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t680) @t616))) % 1.32/1.55 (assume @p556 (forall @t627 (= @t560 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t680 @t14) @t679)))) % 1.32/1.55 (assume @p557 (forall @t627 (= @t681 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t680 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t679 @t14))))) % 1.32/1.55 (assume @p558 (forall @t692 (=> @t691 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t666) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t690 @t38))))) % 1.32/1.55 (assume @p559 (forall @t692 (=> @t691 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t660 @t90) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t690))))) % 1.32/1.55 (assume @p560 (forall @t165 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t687 @t14)))) % 1.32/1.55 (assume @p561 (forall @t695 (=> @t694 (= (tptp.c_RComplete_Onatfloor @t693) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t661 @t55))))) % 1.32/1.55 (assume @p562 (forall @t165 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t8 @t14) @t687))) % 1.32/1.55 (assume @p563 (forall @t695 (=> @t694 (= (tptp.c_RComplete_Onatceiling @t693) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t653 @t55))))) % 1.32/1.55 (assume @p564 (forall @t696 (=> @t655 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t671) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t661 @t312))))) % 1.32/1.55 (assume @p565 (forall @t688 (=> @t655 (= (tptp.c_RComplete_Onatfloor @t697) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t661 @t55))))) % 1.32/1.55 (assume @p566 (forall (@list @t312 @t19) (=> (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 @t19) @t456) @t312) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t19 @t671)))) % 1.32/1.55 (assume @p567 (forall @t673 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t671 @t8) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t672) (= @t661 @t312))))) % 1.32/1.55 (assume @p568 (forall @t688 (=> @t655 (= (tptp.c_RComplete_Onatceiling @t697) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t653 @t55))))) % 1.32/1.55 (assume @p569 (forall @t105 (=> @t699 (exists @t505 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t502 @t456)) @t103) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t103 @t698)))))) % 1.32/1.55 (assume @p570 (forall @t706 (=> @t705 (=> @t704 (exists @t621 (and @t703 (forall @t702 (=> @t701 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t700) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t700 @t58)))))))))) % 1.32/1.55 (assume @p571 (forall (@list @t157 @t90 @t9 @t321 @t2 @t28) (=> @t712 (=> @t711 (= @t709 (tptp.hAPP @t708 @t707)))))) % 1.32/1.55 (assume @p572 (forall (@list @t495 @t573) (=> @t623 (=> @t717 (exists @t600 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t598 @t495) (forall @t716 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t713 @t598) (not @t715))) (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t598 @t456))))))))) % 1.32/1.55 (assume @p573 (forall (@list @t9 @t321 @t2 @t28) (=> @t712 (=> @t711 (= (tptp.c_Polynomial_Opoly__rec @t9 @t28 @t321 @t2 @t710) @t321))))) % 1.32/1.55 (assume @p574 (forall (@list @t157 @t90 @t2 @t321 @t9 @t28) (=> @t712 (= @t709 (tptp.hAPP @t708 (tptp.c_If @t9 (tptp.c_fequal @t157 @t710) @t321 @t707)))))) % 1.32/1.55 (assume @p575 (forall @t77 (=> @t208 (exists @t492 (and @t718 @t490))))) % 1.32/1.55 (assume @p576 (forall @t11 (=> @t208 (exists @t492 (and @t718 @t657))))) % 1.32/1.55 (assume @p577 (forall @t376 (=> @t208 (exists @t492 (and @t718 @t658))))) % 1.32/1.55 (assume @p578 (forall @t400 (=> (= @t107 @t14) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t19 @t719)) @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t19 @t719)) @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t19 tptp.c_Complex_Oii)) @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t19 tptp.c_Complex_Oii)) @t14))))) % 1.32/1.55 (assume @p579 (forall (@list @t443 @t19 @t392) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t392) (exists @t621 (and @t703 (forall (@list @t720) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t721) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t721 @t618)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.hAPP @t675 @t720) (tptp.hAPP @t675 @t19))) @t392)))))))) % 1.32/1.55 (assume @p580 (forall @t706 (=> @t705 (=> @t704 (exists @t621 (and @t703 (forall @t702 (=> @t701 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t700) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t700 @t58)))))))))) % 1.32/1.55 (assume @p581 (not (= tptp.c_Complex_Oii @t719))) % 1.32/1.55 (assume @p582 (not (= tptp.c_Complex_Oii @t722))) % 1.32/1.55 (assume @p583 (forall (@list @t724 @t723 @t9 @t28) (=> (and @t729 @t64) (=> (forall @t505 (=> @t728 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t28 (tptp.c_Groups_Ominus__class_Ominus @t28 @t725 @t726)) @t14))) (forall @t505 (=> @t728 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t727 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 (tptp.c_RealVector_Onorm__class_Onorm @t28 @t725))))))))) % 1.32/1.55 (assume @p584 (forall @t165 (=> @t318 (forall @t702 (exists @t505 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t700 (tptp.hAPP @t730 @t8))))))) % 1.32/1.55 (assume @p585 (forall @t77 (=> @t208 (exists @t492 @t490)))) % 1.32/1.55 (assume @p586 (forall @t734 (=> @t43 (= (tptp.c_SEQ_Odecseq @t9 @t724) (forall @t733 (=> @t732 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t726 @t731))))))) % 1.32/1.55 (assume @p587 (forall @t696 (=> @t655 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t736 @t8) @t14) (tptp.hAPP (tptp.hAPP @t735 @t654) @t312))))) % 1.32/1.55 (assume @p588 (forall @t734 (=> @t74 (= @t739 @t738)))) % 1.32/1.55 (assume @p589 (forall (@list @t465 @t33 @t8 @t9) (=> @t154 (= (tptp.hAPP (tptp.hAPP @t740 @t204) @t465) (tptp.hAPP @t744 (tptp.hAPP @t741 @t465)))))) % 1.32/1.55 (assume @p590 (forall @t748 (=> @t239 (= @t747 @t745)))) % 1.32/1.55 (assume @p591 (forall (@list @t8 @t312 @t443 @t9) (=> @t154 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t155) @t443) @t312)) @t8) (tptp.hAPP (tptp.hAPP @t740 @t445) @t312))))) % 1.32/1.55 (assume @p592 (forall @t751 (=> @t154 (= (tptp.hAPP (tptp.hAPP @t740 @t750) @t465) (tptp.hAPP @t742 (tptp.hAPP @t749 @t465)))))) % 1.32/1.55 (assume @p593 (forall @t748 (=> @t76 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t747 @t745)))) % 1.32/1.55 (assume @p594 (forall @t11 (=> @t154 (= (tptp.hAPP @t742 @t456) @t8)))) % 1.32/1.55 (assume @p595 (forall @t11 (=> @t154 (= (tptp.hAPP @t742 @t159) @t75)))) % 1.32/1.55 (assume @p596 (forall @t751 (=> @t154 (= (tptp.hAPP (tptp.hAPP @t171 @t750) @t743) (tptp.hAPP @t742 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t443 @t465)))))) % 1.32/1.55 (assume @p597 (forall (@list @t8 @t312 @t9) (=> @t393 (=> @t635 (= (tptp.hAPP (tptp.hAPP @t171 (tptp.hAPP @t742 @t752)) @t8) @t746))))) % 1.32/1.55 (assume @p598 (forall (@list @t313 @t312 @t9) (=> @t755 (and (=> @t615 (= @t754 @t75)) (=> @t636 (= @t754 (tptp.hAPP @t314 (tptp.hAPP @t753 @t752)))))))) % 1.32/1.55 (assume @p599 (forall @t761 (=> @t96 (=> @t266 (=> @t95 (=> @t635 @t760)))))) % 1.32/1.55 (assume @p600 (forall @t763 (=> @t96 (=> @t762 (=> @t635 (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t759)))))) % 1.32/1.55 (assume @p601 (forall @t766 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 (tptp.hAPP (tptp.hAPP @t765 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t38)) @t495)) (or (not (= @t38 @t764)) @t601)))) % 1.32/1.55 (assume @p602 (forall @t766 (= @t770 (or @t767 @t601)))) % 1.32/1.55 (assume @p603 (forall (@list @t312 @t313 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t771 @t313) @t772) @t541)))) % 1.32/1.55 (assume @p604 (forall @t48 (= (tptp.hAPP (tptp.hAPP @t765 @t774) @t19) (tptp.hAPP @t773 (tptp.hAPP (tptp.hAPP @t458 @t33) @t19))))) % 1.32/1.55 (assume @p605 (forall @t48 (= (tptp.hAPP @t773 @t597) (tptp.hAPP (tptp.hAPP @t775 @t774) (tptp.hAPP @t773 @t19))))) % 1.32/1.55 (assume @p606 (forall @t463 (= @t777 @t776))) % 1.32/1.55 (assume @p607 (forall @t463 (= @t776 @t777))) % 1.32/1.55 (assume @p608 (forall @t696 (=> (= @t8 @t687) (= (tptp.c_RComplete_Onatfloor @t778) (tptp.hAPP (tptp.hAPP @t768 @t661) @t312))))) % 1.32/1.55 (assume @p609 (forall (@list @t443 @t313) (and (=> @t461 (= @t780 @t456)) (=> @t462 (= @t780 (tptp.hAPP @t749 (tptp.hAPP @t779 @t457))))))) % 1.32/1.55 (assume @p610 (forall @t763 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t9) (=> @t382 (not (= @t759 @t78)))))) % 1.32/1.55 (assume @p611 (forall @t763 (=> @t393 (= @t783 @t781)))) % 1.32/1.55 (assume @p612 (forall @t761 (=> @t394 (= (tptp.hAPP (tptp.hAPP @t740 @t226) @t312) (tptp.hAPP @t782 @t757))))) % 1.32/1.55 (assume @p613 (forall @t784 (=> @t393 (= (tptp.hAPP (tptp.hAPP @t740 @t75) @t312) @t75)))) % 1.32/1.55 (assume @p614 (forall @t763 (=> @t144 (= (tptp.c_Groups_Oabs__class_Oabs @t9 @t759) @t785)))) % 1.32/1.55 (assume @p615 (forall @t787 (=> @t393 (= (tptp.hAPP @t758 @t460) (tptp.hAPP (tptp.hAPP @t740 @t786) @t312))))) % 1.32/1.55 (assume @p616 (forall @t89 (=> @t393 (= (tptp.hAPP @t758 @t456) @t55)))) % 1.32/1.55 (assume @p617 (forall @t761 (=> @t96 (=> @t63 (=> @t95 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t759 @t757)))))) % 1.32/1.55 (assume @p618 (forall @t763 (=> @t96 (=> @t95 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t759))))) % 1.32/1.55 (assume @p619 (forall @t763 (=> @t96 (=> @t304 (tptp.c_Orderings_Oord__class_Oless @t9 @t78 @t759))))) % 1.32/1.55 (assume @p620 (forall @t763 (=> @t96 (=> @t788 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t75 @t759))))) % 1.32/1.55 (assume @p621 (forall (@list @t495 @t90 @t9) (=> (and @t755 @t375 @t383 @t143) (= (= @t790 @t78) (and @t91 @t617))))) % 1.32/1.55 (assume @p622 (forall (@list @t495 @t496 @t90 @t9) (=> @t96 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t90) (= (= (tptp.hAPP @t789 @t496) @t790) @t561))))) % 1.32/1.55 (assume @p623 (forall @t89 (=> @t755 (= (tptp.hAPP @t758 @t159) @t75)))) % 1.32/1.55 (assume @p624 (forall @t787 (=> @t393 (= (tptp.hAPP @t758 @t519) (tptp.hAPP (tptp.hAPP @t171 @t786) @t759))))) % 1.32/1.55 (assume @p625 (forall @t791 (=> @t96 (=> @t760 (=> @t101 @t266))))) % 1.32/1.55 (assume @p626 (forall @t763 (=> @t96 (=> @t762 (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t781))))) % 1.32/1.55 (assume @p627 (forall @t763 (=> @t96 (=> @t762 (tptp.c_Orderings_Oord__class_Oless @t9 @t759 @t781))))) % 1.32/1.55 (assume @p628 (forall @t784 (=> @t794 (and (=> @t615 (= @t793 @t75)) (=> @t636 (= @t793 @t78)))))) % 1.32/1.55 (assume @p629 (forall @t763 (=> @t144 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t785)))) % 1.32/1.55 (assume @p630 (forall @t799 (=> @t96 (=> @t798 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t797 @t796) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t39)))))) % 1.32/1.55 (assume @p631 (forall @t787 (=> @t96 (=> @t762 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t786 @t759) @t541))))) % 1.32/1.55 (assume @p632 (forall @t803 (=> @t96 (=> @t802 (=> @t762 (tptp.c_Orderings_Oord__class_Oless @t9 @t759 @t801)))))) % 1.32/1.55 (assume @p633 (forall @t803 (=> @t96 (=> @t804 (=> @t788 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t759 @t801)))))) % 1.32/1.55 (assume @p634 (forall @t763 (=> @t96 (=> @t304 (=> @t805 (tptp.c_Orderings_Oord__class_Oless @t9 @t781 @t759)))))) % 1.32/1.55 (assume @p635 (forall @t803 (=> @t96 (=> @t802 (=> @t304 (=> @t805 (tptp.c_Orderings_Oord__class_Oless @t9 @t801 @t759))))))) % 1.32/1.55 (assume @p636 (forall @t791 (=> @t96 (=> (= @t759 @t757) (=> @t95 (=> @t101 (=> @t635 @t66))))))) % 1.32/1.55 (assume @p637 (forall @t803 (=> @t96 (=> @t804 (=> @t95 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t55 @t75) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t801 @t759))))))) % 1.32/1.55 (assume @p638 (forall @t799 (=> @t96 (=> @t798 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t797 @t796) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t39)))))) % 1.32/1.55 (assume @p639 (forall @t787 (=> @t96 (=> @t762 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t786 @t759) @t576))))) % 1.32/1.55 (assume @p640 (forall (@list @t312 @t58) (=> (not (= @t58 @t722)) (=> @t636 (exists @t169 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t719 (tptp.hAPP (tptp.hAPP @t807 @t58) (tptp.hAPP (tptp.hAPP @t806 @t166) @t312)))) @t14)))))) % 1.32/1.55 (assume @p641 (forall @t77 (=> @t755 (= @t740 (tptp.c_Power_Opower_Opower @t9 @t75 @t171))))) % 1.32/1.55 (assume @p642 (forall @t766 (= @t770 (or @t601 @t767)))) % 1.32/1.55 (assume @p643 (forall @t696 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 (tptp.hAPP (tptp.hAPP @t765 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t8)) @t312)))) % 1.32/1.55 (assume @p644 (forall @t400 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t809 @t19) @t764)))) % 1.32/1.55 (assume @p645 (not (= @t764 @t808))) % 1.32/1.55 (assume @p646 (forall @t500 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t496) (= (= (tptp.hAPP (tptp.hAPP @t775 @t496) @t495) @t808) (and (= @t496 @t808) (= @t495 @t808)))))) % 1.32/1.55 (assume @p647 (forall @t400 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t19) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t809)))) % 1.32/1.55 (assume @p648 (forall @t810 (= (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 @t808 @t321) @t321) @t764) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t321 @t764)))) % 1.32/1.55 (assume @p649 (forall @t810 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t321) @t808) (= @t321 @t764)))) % 1.32/1.55 (assume @p650 (forall @t506 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t503 @t504) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t503 @t504) @t764)))) % 1.32/1.55 (assume @p651 (forall @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t808 @t321) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t321)))) % 1.32/1.55 (assume @p652 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t808)) % 1.32/1.55 (assume @p653 (forall @t26 (=> @t813 (=> @t812 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t811 @t24) (tptp.hAPP @t811 @t25)))))) % 1.32/1.55 (assume @p654 (forall @t400 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t764 @t19) @t19))) % 1.32/1.55 (assume @p655 (forall @t400 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t19 @t764) @t19))) % 1.32/1.55 (assume @p656 (forall @t818 (= (tptp.hAPP @t814 @t817) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t816 @t815)))) % 1.32/1.55 (assume @p657 (forall @t405 (= (tptp.hAPP (tptp.hAPP @t775 @t817) @t17) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t822 @t820)))) % 1.32/1.55 (assume @p658 (forall @t22 (= (tptp.hAPP @t823 @t17) (tptp.hAPP @t814 @t19)))) % 1.32/1.55 (assume @p659 (forall @t455 (= (tptp.hAPP (tptp.hAPP @t775 (tptp.hAPP @t821 @t401)) @t454) (tptp.hAPP @t821 (tptp.hAPP @t819 @t454))))) % 1.32/1.55 (assume @p660 (forall (@list @t342 @t321) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t321 @t342) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t321 @t342) (not (= @t321 @t342)))))) % 1.32/1.55 (assume @p661 (forall @t319 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t8 @t33) @t45 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t33 @t8)))) % 1.32/1.55 (assume @p662 (forall (@list @t19 @t825 @t17 @t826) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t826 @t17) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t825 @t19) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t826 @t825) @t824))))) % 1.32/1.55 (assume @p663 (forall @t26 (=> @t813 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t23) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t25 @t23))))) % 1.32/1.55 (assume @p664 (forall @t828 (= @t827 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t342 @t321)))) % 1.32/1.55 (assume @p665 (forall @t828 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t342 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t321 @t808)) @t829))) % 1.32/1.55 (assume @p666 (forall @t828 (= @t827 (or @t829 (= @t342 @t321))))) % 1.32/1.55 (assume @p667 (forall @t828 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t342 @t808) @t321) @t829))) % 1.32/1.55 (assume @p668 (forall @t108 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t17 @t19) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t17 @t808) @t19)))) % 1.32/1.55 (assume @p669 (forall @t405 (= (tptp.hAPP (tptp.hAPP @t775 @t830) @t17) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t822 @t820)))) % 1.32/1.55 (assume @p670 (forall @t818 (= (tptp.hAPP @t814 @t830) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t816 @t815)))) % 1.32/1.55 (assume @p671 (forall @t463 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t775 @t313) @t312)) @t808) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t313) @t808)))) % 1.32/1.55 (assume @p672 (forall @t400 (= (tptp.hAPP @t823 @t808) @t19))) % 1.32/1.55 (assume @p673 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t775 @t808) @t19) @t19))) % 1.32/1.55 (assume @p674 (forall (@list @t90 @t832 @t831 @t9) (= (tptp.hAPP @t833 @t159) @t831))) % 1.32/1.55 (assume @p675 (forall (@list @t19 @t8 @t137) (=> @t835 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 @t834) @t19)))) % 1.32/1.55 (assume @p676 (forall (@list @t8 @t19 @t137) (=> @t835 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t19 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 @t834))))) % 1.32/1.55 (assume @p677 (forall @t839 (=> @t838 (=> @t837 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t103 @t55) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t808 @t465)))))) % 1.32/1.55 (assume @p678 (forall @t18 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t17 @t17))) % 1.32/1.55 (assume @p679 (forall @t22 (or @t841 @t840))) % 1.32/1.55 (assume @p680 (forall @t26 (=> @t842 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t25 @t23) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t24 @t23))))) % 1.32/1.55 (assume @p681 (forall @t22 (=> @t841 (=> @t840 @t27)))) % 1.32/1.55 (assume @p682 (forall @t26 (=> @t842 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 @t24) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 @t25))))) % 1.32/1.55 (assume @p683 (forall @t22 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t19 @t17) @t824))) % 1.32/1.55 (assume @p684 (forall @t48 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t33 @t19)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t33 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 @t19))))) % 1.32/1.55 (assume @p685 (forall @t455 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t817 @t454) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t403 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t401 @t454))))) % 1.32/1.55 (assume @p686 (forall @t855 (=> @t854 (=> @t851 (=> @t849 (=> @t848 (=> @t846 (=> @t845 @t844)))))))) % 1.32/1.55 (assume @p687 (forall @t860 (=> @t859 (=> @t858 (=> @t857 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 @t847) @t856)))))) % 1.32/1.55 (assume @p688 (forall @t855 (=> @t854 (=> @t863 (=> @t862 (=> @t861 (=> @t846 (=> @t845 @t856)))))))) % 1.32/1.55 (assume @p689 (forall @t860 (=> @t859 (=> @t848 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t847 @t58) (=> @t849 @t844)))))) % 1.32/1.55 (assume @p690 (forall @t864 (=> @t851 (=> @t848 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t843 @t764)))))) % 1.32/1.55 (assume @p691 (forall @t864 (=> @t863 (=> @t862 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t843)))))) % 1.32/1.55 (assume @p692 (forall @t839 (=> @t838 (=> @t837 (=> @t861 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t465 @t808)))))) % 1.32/1.55 (assume @p693 (forall @t696 (=> @t865 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 (tptp.hAPP @t773 @t312))))) % 1.32/1.55 (assume @p694 (forall @t319 (=> @t865 (=> @t866 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 (tptp.hAPP (tptp.hAPP @t775 @t8) @t33)))))) % 1.32/1.55 (assume @p695 (forall @t319 (=> @t865 (=> @t866 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 @t33)))))) % 1.32/1.55 (assume @p696 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t764)) % 1.32/1.55 (assume @p697 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t808)) % 1.32/1.55 (assume @p698 (forall @t871 (and @t870 (=> (not @t868) (= @t867 @t764))))) % 1.32/1.55 (assume @p699 (forall (@list @t312 @t55 @t103) (= (tptp.hAPP (tptp.hAPP @t806 @t873) @t312) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t735 @t103) @t312) @t872)))) % 1.32/1.55 (assume @p700 (forall @t734 (=> @t74 (=> @t739 @t738)))) % 1.32/1.55 (assume @p701 (forall (@list @t55 @t103) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t873) @t104))) % 1.32/1.55 (assume @p702 (forall @t874 (= (tptp.c_Complex_Orcis @t80 @t55) @t722))) % 1.32/1.55 (assume @p703 (forall @t319 (=> @t865 (=> @t866 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t867))))) % 1.32/1.55 (assume @p704 (forall (@list @t58 @t875 @t55 @t876) (= (tptp.hAPP (tptp.hAPP @t807 (tptp.c_Complex_Orcis @t876 @t55)) (tptp.c_Complex_Orcis @t875 @t58)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t202 @t876) @t875) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t55 @t58))))) % 1.32/1.55 (assume @p705 (forall @t871 @t870)) % 1.32/1.55 (assume @p706 (forall (@list @t724 @t877 @t9) (=> @t74 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t877) (=> (forall @t505 @t878) @t739))))) % 1.32/1.55 (assume @p707 (forall @t884 (=> @t883 (=> (forall @t6 (=> @t881 (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t182))))) (=> @t882 (forall @t6 (=> @t881 (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t880)))))))))) % 1.32/1.55 (assume @p708 (forall @t884 (=> @t883 (=> (forall @t6 (=> @t881 (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t182))))) (=> @t882 (forall @t6 (=> @t881 (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t880)))))))))) % 1.32/1.55 (assume @p709 (forall @t886 (=> @t635 (=> @t885 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t3) (= (tptp.hAPP (tptp.hAPP @t735 @t3) @t312) @t55) (forall @t702 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t700) (= (tptp.hAPP (tptp.hAPP @t735 @t700) @t312) @t55)) (= @t700 @t3))))))))) % 1.32/1.55 (assume @p710 (forall @t886 (=> @t635 (=> @t885 (exists @t442 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t440) (= (tptp.hAPP (tptp.hAPP @t735 @t440) @t312) @t55))))))) % 1.32/1.55 (assume @p711 (forall @t696 (=> @t318 (= (tptp.c_Transcendental_Oln @t778) (tptp.hAPP @t736 @t887))))) % 1.32/1.55 (assume @p712 (forall @t734 (=> @t43 (= (tptp.c_SEQ_Oincseq @t9 @t724) (forall @t733 (=> @t732 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t731 @t726))))))) % 1.32/1.55 (assume @p713 (forall @t165 (=> @t318 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t887 @t8)))) % 1.32/1.55 (assume @p714 (forall @t398 (=> @t891 (=> @t890 (= (= @t889 @t888) @t42))))) % 1.32/1.55 (assume @p715 (forall @t398 (=> @t891 (=> @t890 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t889 @t888) @t320))))) % 1.32/1.55 (assume @p716 (= (tptp.c_Transcendental_Oln @t14) @t80)) % 1.32/1.55 (assume @p717 (forall @t398 (=> @t891 (=> @t890 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t889 @t888) @t365))))) % 1.32/1.55 (assume @p718 (forall @t165 (=> @t893 @t892))) % 1.32/1.55 (assume @p719 (forall @t165 (=> @t895 @t894))) % 1.32/1.55 (assume @p720 (forall @t485 (=> @t891 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t889) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t14 @t38))))) % 1.32/1.55 (assume @p721 (forall @t485 (=> @t891 (= (= @t889 @t80) (= @t38 @t14))))) % 1.32/1.55 (assume @p722 (forall @t485 (=> @t891 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t889 @t80) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t14))))) % 1.32/1.55 (assume @p723 (forall @t165 (=> @t318 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t887 @t80))))) % 1.32/1.55 (assume @p724 (forall @t165 (=> @t894 (=> @t318 @t895)))) % 1.32/1.55 (assume @p725 (forall @t165 (=> @t892 (=> @t318 @t893)))) % 1.32/1.55 (assume @p726 (forall @t485 (=> @t891 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t889) @t665)))) % 1.32/1.55 (assume @p727 (forall @t319 (=> @t318 (=> @t317 (= (tptp.c_Transcendental_Oln @t316) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t887 (tptp.c_Transcendental_Oln @t33))))))) % 1.32/1.55 (assume @p728 (forall @t165 (=> @t655 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 @t8)) @t8)))) % 1.32/1.55 (assume @p729 (= (tptp.c_Complex_Oexpi @t722) @t719)) % 1.32/1.55 (assume @p730 (forall (@list @t503 @t2 @t495) (=> (forall @t716 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t713 @t495) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint (tptp.hAPP @t2 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t713 @t456)) @t896)) @t808))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t2 @t159) @t503) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t503 (tptp.hAPP @t2 @t495)) (exists @t716 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t713 @t495) (= @t896 @t503)))))))) % 1.32/1.55 (assume @p731 (forall @t668 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t55 @t58)) (tptp.hAPP (tptp.hAPP @t807 (tptp.c_Complex_Oexpi @t55)) (tptp.c_Complex_Oexpi @t58))))) % 1.32/1.55 (assume @p732 (forall (@list @t877 @t724 @t897 @t9) (=> @t74 (=> (forall @t505 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t897 @t502) @t878)) @t739)))) % 1.32/1.55 (assume @p733 (forall @t902 (=> @t729 (= @t901 (exists @t900 (forall @t505 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t727 @t899))))))) % 1.32/1.55 (assume @p734 (forall @t902 (=> @t729 (= @t901 (exists @t900 (forall @t505 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t727 @t899))))))) % 1.32/1.55 (assume @p735 (forall @t463 (=> @t541 @t905))) % 1.32/1.55 (assume @p736 (forall @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t903))) % 1.32/1.55 (assume @p737 (forall @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t903))) % 1.32/1.55 (assume @p738 (forall @t500 (= (= @t499 @t906) (and @t908 @t907)))) % 1.32/1.55 (assume @p739 (forall @t500 (= @t536 (exists @t600 (= @t495 (tptp.c_Nat_OSuc @t599)))))) % 1.32/1.55 (assume @p740 (forall @t909 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t24))))) % 1.32/1.55 (assume @p741 (forall @t909 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t24 @t313))))) % 1.32/1.55 (assume @p742 (forall @t627 (= @t560 @t911))) % 1.32/1.55 (assume @p743 (forall @t500 (= @t912 @t577))) % 1.32/1.55 (assume @p744 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t913 @t495) @t536))) % 1.32/1.55 (assume @p745 (forall @t463 (=> @t576 @t914))) % 1.32/1.55 (assume @p746 (forall @t463 (=> @t541 @t915))) % 1.32/1.55 (assume @p747 (forall @t500 (=> @t577 @t917))) % 1.32/1.55 (assume @p748 (forall @t463 (=> @t915 @t541))) % 1.32/1.55 (assume @p749 (= @t456 @t906)) % 1.32/1.55 (assume @p750 (forall @t539 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t920 @t919) @t536))) % 1.32/1.55 (assume @p751 (forall @t463 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t530 @t904))) % 1.32/1.55 (assume @p752 (forall @t463 (= (tptp.hAPP (tptp.hAPP @t458 @t904) @t312) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t312 @t460)))) % 1.32/1.55 (assume @p753 (forall @t463 (= (tptp.hAPP @t459 @t903) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t313 @t460)))) % 1.32/1.55 (assume @p754 (forall @t539 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t920 @t919) @t577))) % 1.32/1.55 (assume @p755 (forall @t522 (=> @t549 (= @t921 (tptp.c_Nat_OSuc @t530))))) % 1.32/1.55 (assume @p756 (forall @t486 (= @t903 @t670))) % 1.32/1.55 (assume @p757 (forall @t486 (= @t903 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t456 @t312)))) % 1.32/1.55 (assume @p758 (forall @t486 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t903 @t456) @t312))) % 1.32/1.55 (assume @p759 (forall @t463 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t903) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t457 @t312)))) % 1.32/1.55 (assume @p760 (forall (@list @t495 @t90 @t832 @t831 @t9) (= (tptp.hAPP @t833 @t910) (tptp.hAPP (tptp.hAPP @t832 @t90) (tptp.hAPP @t833 @t495))))) % 1.32/1.55 (assume @p761 (forall @t594 (not (= @t159 @t904)))) % 1.32/1.55 (assume @p762 (forall (@list @t922) (not (= @t159 (tptp.c_Nat_OSuc @t922))))) % 1.32/1.55 (assume @p763 (forall @t594 (not (= @t904 @t159)))) % 1.32/1.55 (assume @p764 (forall (@list @t923) (not (= (tptp.c_Nat_OSuc @t923) @t159)))) % 1.32/1.55 (assume @p765 (forall @t539 (= (= @t920 @t919) @t561))) % 1.32/1.55 (assume @p766 (forall @t463 (=> @t905 @t541))) % 1.32/1.55 (assume @p767 (forall @t463 (=> @t924 @t541))) % 1.32/1.55 (assume @p768 (forall @t463 (=> @t914 (=> @t542 @t565)))) % 1.32/1.55 (assume @p769 (forall @t26 (=> @t544 (=> @t569 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t925 @t23))))) % 1.32/1.55 (assume @p770 (forall @t463 (=> @t541 (=> (not (= @t904 @t312)) @t924)))) % 1.32/1.55 (assume @p771 (forall @t463 (=> @t541 @t914))) % 1.32/1.55 (assume @p772 (forall @t522 (=> (not @t567) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t904) @t565)))) % 1.32/1.55 (assume @p773 (forall @t627 (=> (not @t560) @t917))) % 1.32/1.55 (assume @p774 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t913 @t910) @t536))) % 1.32/1.55 (assume @p775 (forall @t500 (= @t912 @t592))) % 1.32/1.55 (assume @p776 (forall @t500 (= (not @t536) @t916))) % 1.32/1.55 (assume @p777 (forall @t319 (=> (= (tptp.c_Nat_OSuc @t8) (tptp.c_Nat_OSuc @t33)) @t45))) % 1.32/1.55 (assume @p778 (forall (@list @t926 @t927) (= (= (tptp.c_Nat_OSuc @t927) (tptp.c_Nat_OSuc @t926)) (= @t927 @t926)))) % 1.32/1.56 (assume @p779 (forall @t486 (not (= @t903 @t312)))) % 1.32/1.56 (assume @p780 (forall @t486 (not (= @t312 @t903)))) % 1.32/1.56 (assume @p781 (forall @t500 (= (= @t906 @t604) @t928))) % 1.32/1.56 (assume @p782 (forall @t500 (= (= @t604 @t906) @t928))) % 1.32/1.56 (assume @p783 (forall @t165 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t929) (or (= @t8 @t159) (= @t8 @t906))))) % 1.32/1.56 (assume @p784 (forall @t500 (= @t912 (or @t603 (exists @t931 (and (= @t496 (tptp.c_Nat_OSuc @t930)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t930 @t495))))))) % 1.32/1.56 (assume @p785 (forall @t602 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t495 @t906) @t601))) % 1.32/1.56 (assume @p786 (forall @t602 (= @t616 (exists @t676 (= @t495 (tptp.c_Nat_OSuc @t674)))))) % 1.32/1.56 (assume @p787 (forall @t934 (=> @t154 (= @t933 @t932)))) % 1.32/1.56 (assume @p788 (forall @t934 (=> @t154 (= @t932 @t933)))) % 1.32/1.56 (assume @p789 (forall @t934 (=> @t154 (= (tptp.hAPP @t744 @t8) @t933)))) % 1.32/1.56 (assume @p790 (forall @t763 (=> @t393 (= @t935 @t783)))) % 1.32/1.56 (assume @p791 (forall @t763 (=> @t755 (= @t935 @t781)))) % 1.32/1.56 (assume @p792 (forall @t784 (=> @t794 (= (tptp.hAPP @t792 @t903) @t78)))) % 1.32/1.56 (assume @p793 (forall @t463 (= @t937 @t936))) % 1.32/1.56 (assume @p794 (forall @t463 (= @t937 @t938))) % 1.32/1.56 (assume @p795 (forall @t463 (= @t936 @t938))) % 1.32/1.56 (assume @p796 (forall @t486 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t903 @t312)))) % 1.32/1.56 (assume @p797 (forall @t500 (= (not @t577) @t911))) % 1.32/1.56 (assume @p798 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t496 @t910) (or @t577 (= @t496 @t910))))) % 1.32/1.56 (assume @p799 (forall @t627 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t910 @t913) @t681))) % 1.32/1.56 (assume @p800 (forall @t463 (=> @t576 @t939))) % 1.32/1.56 (assume @p801 (forall @t463 (=> @t939 (=> (not @t576) (= @t313 @t903))))) % 1.32/1.56 (assume @p802 (forall @t463 (=> @t915 @t576))) % 1.32/1.56 (assume @p803 (forall @t528 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t921 (tptp.c_Nat_OSuc @t23)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t530 @t23)))) % 1.32/1.56 (assume @p804 (forall @t463 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t904 @t903) @t530))) % 1.32/1.56 (assume @p805 (forall (@list @t496 @t38) (= (= (tptp.hAPP @t769 @t496) @t906) (or @t603 (= @t38 @t906))))) % 1.32/1.56 (assume @p806 (forall @t486 (= (tptp.hAPP (tptp.hAPP @t768 @t906) @t312) @t906))) % 1.32/1.56 (assume @p807 (forall @t791 (=> @t96 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t935 @t940) (=> @t101 @t63))))) % 1.32/1.56 (assume @p808 (forall @t791 (=> @t96 (=> (= @t935 @t940) (=> @t95 (=> @t101 @t66)))))) % 1.32/1.56 (assume @p809 (forall @t763 (=> @t96 (=> @t762 (tptp.c_Orderings_Oord__class_Oless @t9 @t75 @t935))))) % 1.32/1.56 (assume @p810 (forall @t522 (=> @t942 (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t460))))) % 1.32/1.56 (assume @p811 (forall @t522 (=> @t942 (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t312 @t563))))) % 1.32/1.56 (assume @p812 (forall @t522 (=> @t942 (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t906 @t460))))) % 1.32/1.56 (assume @p813 (forall @t486 (=> @t635 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t906)) @t312)))) % 1.32/1.56 (assume @p814 (forall (@list @t24 @t312) (=> @t635 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t925) @t312)))) % 1.32/1.56 (assume @p815 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t906 @t499) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t906 @t496) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t906 @t495))))) % 1.32/1.56 (assume @p816 (forall @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t943))) % 1.32/1.56 (assume @p817 (forall @t946 (=> @t509 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t945) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t534 @t944))))) % 1.32/1.56 (assume @p818 (forall @t946 (=> @t509 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t945 @t313) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t944 @t532))))) % 1.32/1.56 (assume @p819 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t906) @t14)) % 1.32/1.56 (assume @p820 (forall @t486 (= @t943 @t672))) % 1.32/1.56 (assume @p821 (forall @t588 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t906 @t24) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t906 @t772)))) % 1.32/1.56 (assume @p822 (forall (@list @t312 @t103 @t9) (=> @t96 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t78 @t103) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t103 @t75) (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.hAPP (tptp.hAPP @t740 @t103) @t903) @t103)))))) % 1.32/1.56 (assume @p823 (forall @t763 (=> @t96 (=> @t304 (=> @t805 (tptp.c_Orderings_Oord__class_Oless @t9 @t935 @t75)))))) % 1.32/1.56 (assume @p824 (forall (@list @t33 @t312 @t443 @t9) (=> @t393 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t443 @t312) (= (tptp.hAPP @t741 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t903 @t443)) (tptp.hAPP (tptp.hAPP @t171 (tptp.hAPP @t741 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t312 @t443))) @t33)))))) % 1.32/1.56 (assume @p825 (forall @t486 (=> @t635 (= @t947 @t312)))) % 1.32/1.56 (assume @p826 (forall @t486 (=> @t635 (= @t312 @t947)))) % 1.32/1.56 (assume @p827 (forall @t463 (and (=> @t461 (= @t519 @t312)) (=> @t462 (= @t519 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t457 @t312))))))) % 1.32/1.56 (assume @p828 (forall @t734 (=> @t74 (= @t739 (exists @t900 (forall @t505 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t737 @t899))))))) % 1.32/1.56 (assume @p829 (forall @t734 (=> @t74 (= @t739 (exists @t900 (forall @t505 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t737 @t899))))))) % 1.32/1.56 (assume @p830 (forall @t37 (=> (tptp.class_Rings_Ocomm__ring__1 @t9) (= (tptp.c_Groups_Ominus__class_Ominus @t9 (tptp.hAPP @t742 @t929) (tptp.hAPP @t741 @t929)) (tptp.hAPP @t220 @t72))))) % 1.32/1.56 (assume @p831 (forall @t871 (=> @t317 (=> @t655 (exists @t505 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t730 @t33) @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 (tptp.hAPP (tptp.hAPP @t202 @t948) @t33)))))))) % 1.32/1.56 (assume @p832 (forall @t950 (=> @t634 (=> @t812 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t949 @t313) @t23) (tptp.hAPP @t949 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t906))))))) % 1.32/1.56 (assume @p833 (forall @t89 (=> @t951 (=> @t382 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t55 @t55) @t75))))) % 1.32/1.56 (assume @p834 (forall @t874 (=> (not (= @t55 @t764)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t55) @t808)))) % 1.32/1.56 (assume @p835 (forall @t955 (=> @t954 (= @t953 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t90 @t764))))) % 1.32/1.56 (assume @p836 (forall @t955 (=> @t956 (= @t953 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t90))))) % 1.32/1.56 (assume @p837 (forall @t668 (=> @t959 (=> @t958 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t957 @t764))))) % 1.32/1.56 (assume @p838 (forall @t319 (=> @t865 (=> @t866 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t8 @t33)))))) % 1.32/1.56 (assume @p839 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t55 @t78) @t78)))) % 1.32/1.56 (assume @p840 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t78 @t55) @t78)))) % 1.32/1.56 (assume @p841 (forall @t960 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t764 @t58) @t764))) % 1.32/1.56 (assume @p842 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t55 @t75) @t55)))) % 1.32/1.56 (assume @p843 (forall @t142 (=> @t951 @t965))) % 1.32/1.56 (assume @p844 (forall @t142 (=> @t951 (=> @t964 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t288 @t229) @t961))))) % 1.32/1.56 (assume @p845 (forall @t268 (=> @t951 (=> @t380 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t241 @t58) @t55))))) % 1.32/1.56 (assume @p846 (forall @t268 (=> @t951 (=> @t380 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t226 @t58) @t55))))) % 1.32/1.56 (assume @p847 (forall @t142 (=> @t951 (and (=> @t963 (= @t962 @t78)) @t965)))) % 1.32/1.56 (assume @p848 (forall @t969 (=> @t968 (=> @t967 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t966 @t957))))) % 1.32/1.56 (assume @p849 (forall @t969 (=> @t968 (=> @t958 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t957 @t966))))) % 1.32/1.56 (assume @p850 (forall @t668 (=> @t972 (=> @t971 @t970)))) % 1.32/1.56 (assume @p851 (forall @t974 (=> @t959 (=> @t846 (=> @t845 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t973 @t957)))))) % 1.32/1.56 (assume @p852 (forall @t668 (=> @t972 (=> @t958 @t975)))) % 1.32/1.56 (assume @p853 (forall @t955 (=> @t956 (= @t976 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t90 @t764))))) % 1.32/1.56 (assume @p854 (forall @t668 (=> @t978 (=> @t977 @t970)))) % 1.32/1.56 (assume @p855 (forall @t668 (=> @t978 (=> @t967 @t975)))) % 1.32/1.56 (assume @p856 (forall @t974 (=> @t978 (=> @t846 (=> @t845 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t957 @t973)))))) % 1.32/1.56 (assume @p857 (forall (@list @t115 @t90) (=> @t979 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t952) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t115 @t90) @t954))))) % 1.32/1.56 (assume @p858 (forall (@list @t512 @t503) (=> @t981 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t980) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t503 @t512))))) % 1.32/1.56 (assume @p859 (forall @t955 (=> @t954 (= @t976 @t979)))) % 1.32/1.56 (assume @p860 (forall (@list @t503 @t512) (= (= @t980 @t764) (or @t982 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t512) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t512 @t503)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t512 @t764) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t503 @t512)))))) % 1.32/1.56 (assume @p861 (forall (@list @t23 @t8) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t8) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t808 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t8 @t23) @t8))))) % 1.32/1.56 (assume @p862 (forall @t985 (=> @t984 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t983) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t957 @t56))))) % 1.32/1.56 (assume @p863 (forall @t61 (=> @t951 (=> @t380 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t987 @t58) @t986))))) % 1.32/1.56 (assume @p864 (forall @t61 (=> @t951 (=> @t380 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t988 @t58) @t986))))) % 1.32/1.56 (assume @p865 (forall @t268 (=> @t951 (=> @t380 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t110 @t58) @t989))))) % 1.32/1.56 (assume @p866 (forall @t268 (=> @t951 (=> @t380 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t86 @t58) @t989))))) % 1.32/1.56 (assume @p867 (forall @t995 (= (tptp.hBOOL @t994) (and (=> @t982 (tptp.hBOOL (tptp.hAPP @t573 @t764))) (=> @t981 (forall @t716 (=> (exists @t931 @t993) @t715))) (=> @t992 (forall @t716 (=> (exists @t931 @t991) @t715))))))) % 1.32/1.56 (assume @p868 (forall (@list @t999 @t33 @t996 @t997) (=> (= @t997 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1002 @t33) @t999)) (=> (and (=> @t1000 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t999) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t999 @t996))) (=> @t1001 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t996 @t999) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t999 @t764)))) (=> @t998 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t997 @t996) @t33)))))) % 1.32/1.56 (assume @p869 (forall @t105 (=> @t699 (exists @t505 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t698 @t103) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t103 @t948)))))) % 1.32/1.56 (assume @p870 (forall @t1007 (=> @t981 (= @t1006 (forall @t1004 (=> @t993 @t1003)))))) % 1.32/1.56 (assume @p871 (forall @t594 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t313 @t906) @t313))) % 1.32/1.56 (assume @p872 (forall @t463 @t1009)) % 1.32/1.56 (assume @p873 (forall @t668 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1010 @t58) @t764))) % 1.32/1.56 (assume @p874 (forall @t88 (=> @t951 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t1011 @t58) @t78)))) % 1.32/1.56 (assume @p875 (forall @t874 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t764) @t764) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t55 @t764) @t55)))) % 1.32/1.56 (assume @p876 (forall @t587 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t55 @t1014) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1012 @t56)))) % 1.32/1.56 (assume @p877 (forall @t65 (=> @t951 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t1016 @t56) @t112)))) % 1.32/1.56 (assume @p878 (forall @t61 (=> @t951 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t1017 @t56) @t112)))) % 1.32/1.56 (assume @p879 (forall @t88 (=> @t951 (= @t1016 @t55)))) % 1.32/1.56 (assume @p880 (forall @t268 (=> @t951 (= @t1017 @t55)))) % 1.32/1.56 (assume @p881 (forall @t88 (=> @t951 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t1011 @t1015) @t55)))) % 1.32/1.56 (assume @p882 (forall @t528 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t313 @t23) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t312 @t23))))) % 1.32/1.56 (assume @p883 (forall @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1008 @t313))) % 1.32/1.56 (assume @p884 (forall @t587 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1020 @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t56) @t1019) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t55 @t56) @t1018) @t56))))) % 1.32/1.56 (assume @p885 (forall @t520 (and (=> @t1023 (= @t1021 @t159)) (=> (not @t1023) @t1022)))) % 1.32/1.56 (assume @p886 (forall @t54 (=> @t1027 (= (tptp.c_Divides_Odiv__class_Odiv @t155 @t8 @t1026) (tptp.c_Divides_Odiv__class_Odiv @t155 @t1024 @t19))))) % 1.32/1.56 (assume @p887 (forall @t1033 (=> @t951 (=> @t1032 (=> @t1030 (= @t1028 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t222 @t235) @t56))))))) % 1.32/1.56 (assume @p888 (forall @t141 (=> @t951 (= @t1034 @t1028)))) % 1.32/1.56 (assume @p889 (forall @t65 (=> @t951 (= @t1035 @t1028)))) % 1.32/1.56 (assume @p890 (forall @t65 (=> @t951 (= @t1028 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t1031 @t1029) @t56))))) % 1.32/1.56 (assume @p891 (forall @t65 (=> @t951 (= @t1028 @t1034)))) % 1.32/1.56 (assume @p892 (forall @t65 (=> @t951 (= @t1028 @t1035)))) % 1.32/1.56 (assume @p893 (forall @t268 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t110 @t58) @t1011)))) % 1.32/1.56 (assume @p894 (forall @t88 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t86 @t58) @t1011)))) % 1.32/1.56 (assume @p895 (forall @t88 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t1011 @t58) @t1011)))) % 1.32/1.56 (assume @p896 (forall @t1033 (=> @t1037 (=> @t1032 (=> @t1030 (= @t1036 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t222 @t235) @t56))))))) % 1.32/1.56 (assume @p897 (forall @t1040 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1039 @t33) @t313) @t1038))) % 1.32/1.56 (assume @p898 (forall (@list @t313 @t33 @t8) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t33 @t313)) @t313) @t1038))) % 1.32/1.56 (assume @p899 (forall @t65 (=> @t1037 (= @t1036 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t1031 @t1029) @t56))))) % 1.32/1.56 (assume @p900 (forall @t65 (=> @t1037 (= @t1036 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t1031 @t58) @t56))))) % 1.32/1.56 (assume @p901 (forall @t65 (=> @t1037 (= @t1036 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t55 @t1029) @t56))))) % 1.32/1.56 (assume @p902 (forall @t141 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t987 @t58) @t1011)))) % 1.32/1.56 (assume @p903 (forall @t65 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t988 @t58) @t1011)))) % 1.32/1.56 (assume @p904 (forall @t1033 (=> @t951 (=> @t1032 (=> @t1030 (= @t1041 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t223 @t235) @t56))))))) % 1.32/1.56 (assume @p905 (forall @t141 (=> @t951 (= @t1043 @t1041)))) % 1.32/1.56 (assume @p906 (forall @t587 (= @t1047 @t1045))) % 1.32/1.56 (assume @p907 (forall @t141 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t288 @t229) (tptp.hAPP (tptp.hAPP @t171 @t1011) @t56))))) % 1.32/1.56 (assume @p908 (forall @t142 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t284 @t283) (tptp.hAPP @t282 @t1011))))) % 1.32/1.56 (assume @p909 (forall @t65 (=> @t951 (= @t1041 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t1042 @t1029) @t56))))) % 1.32/1.56 (assume @p910 (forall @t65 (=> @t951 (= @t1041 @t1043)))) % 1.32/1.56 (assume @p911 (forall @t587 (= @t1045 @t1047))) % 1.32/1.56 (assume @p912 (forall @t65 (=> @t951 (= @t1041 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t225 @t1029) @t56))))) % 1.32/1.56 (assume @p913 (forall @t1050 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t496 @t182) @t764) (exists @t1049 (= @t496 (tptp.hAPP (tptp.hAPP @t775 @t182) @t1048)))))) % 1.32/1.56 (assume @p914 (forall @t960 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t764 @t58) @t764))) % 1.32/1.56 (assume @p915 (forall @t874 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t55 @t55) @t764))) % 1.32/1.56 (assume @p916 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t78 @t55) @t78)))) % 1.32/1.56 (assume @p917 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t55 @t78) @t55)))) % 1.32/1.56 (assume @p918 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t55 @t55) @t78)))) % 1.32/1.56 (assume @p919 (forall @t88 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t226 @t58) @t78)))) % 1.32/1.56 (assume @p920 (forall @t268 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t241 @t58) @t78)))) % 1.32/1.56 (assume @p921 (forall @t950 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t313) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t313 @t23) @t313)))) % 1.32/1.56 (assume @p922 (forall @t319 (=> @t865 (=> @t866 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t8 @t33)))))) % 1.32/1.56 (assume @p923 (forall @t453 (=> @t967 @t1051))) % 1.32/1.56 (assume @p924 (forall @t453 (=> @t958 @t1052))) % 1.32/1.56 (assume @p925 (forall @t89 (=> @t951 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t55 @t75) @t78)))) % 1.32/1.56 (assume @p926 (forall @t1040 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t765 @t1039) @t33) @t313) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t774 @t313)))) % 1.32/1.56 (assume @p927 (forall @t528 (=> @t634 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t23 @t312) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t23 @t313)))))) % 1.32/1.56 (assume @p928 (forall @t522 (=> @t635 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t563 @t312) @t313)))) % 1.32/1.56 (assume @p929 (forall @t522 (=> @t635 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t460 @t312) @t313)))) % 1.32/1.56 (assume @p930 (forall @t520 (=> @t637 @t1022))) % 1.32/1.56 (assume @p931 (forall @t522 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t456 @t312) (=> @t634 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1008 @t313))))) % 1.32/1.56 (assume @p932 (forall @t453 (=> @t958 @t1053))) % 1.32/1.56 (assume @p933 (forall @t453 (=> @t958 (and @t1053 @t1052)))) % 1.32/1.56 (assume @p934 (forall @t668 (=> @t978 (=> @t977 @t1054)))) % 1.32/1.56 (assume @p935 (forall @t453 (=> @t967 @t1055))) % 1.32/1.56 (assume @p936 (forall @t453 (=> @t967 (and @t1055 @t1051)))) % 1.32/1.56 (assume @p937 (forall @t668 (=> @t972 (=> @t971 @t1054)))) % 1.32/1.56 (assume @p938 (forall (@list @t23 @t58 @t55) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t775 @t957) @t58) @t1010) @t23) @t1056))) % 1.32/1.56 (assume @p939 (forall (@list @t23 @t55 @t58) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1057 @t23) @t1056))) % 1.32/1.56 (assume @p940 (forall @t587 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1044 @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t836 @t1019) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1046 @t56))))) % 1.32/1.56 (assume @p941 (forall @t668 (= @t55 @t1057))) % 1.32/1.56 (assume @p942 (forall @t463 (= @t1059 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t313 (tptp.hAPP (tptp.hAPP @t775 @t1058) @t312))))) % 1.32/1.56 (assume @p943 (forall @t522 (= (tptp.hAPP (tptp.hAPP @t775 @t312) @t1058) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t313 @t1059)))) % 1.32/1.56 (assume @p944 (forall @t522 (=> @t635 (and @t1009 @t1061)))) % 1.32/1.56 (assume @p945 (forall @t522 (=> @t635 @t1061))) % 1.32/1.56 (assume @p946 (forall @t995 (= (tptp.hBOOL (tptp.hAPP @t573 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t495 @t503))) (and (=> @t605 @t622) (=> (not @t605) (forall @t1004 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t930 @t503) (=> (= @t495 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t607 @t713) @t930)) @t715)))))))) % 1.32/1.56 (assume @p947 (forall @t668 (=> @t838 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1020 @t764) (= @t1010 @t1020))))) % 1.32/1.56 (assume @p948 (forall (@list @t496 @t469 @t495) (=> @t616 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t611 @t469) @t496) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t496 (tptp.hAPP @t611 (tptp.c_Nat_OSuc @t469)))) (= @t469 @t1062))))) % 1.32/1.56 (assume @p949 (forall (@list @t495 @t496 @t573) (= (tptp.hBOOL (tptp.hAPP @t573 @t1062)) (or (and @t601 @t622) (exists @t1049 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t611 @t1048) @t496) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t496 (tptp.hAPP @t611 (tptp.c_Nat_OSuc @t1048))) (tptp.hBOOL (tptp.hAPP @t573 @t1048)))))))) % 1.32/1.56 (assume @p950 (forall @t522 (=> @t635 (=> @t549 @t1060)))) % 1.32/1.56 (assume @p951 (forall (@list @t33 @t1063 @t996 @t997) (=> (= @t997 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1002 @t1063) @t33)) (=> (and (=> @t1000 (and @t866 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t33 @t996))) (=> @t1001 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t996 @t33) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t33 @t764)))) (=> @t998 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t997 @t996) @t33)))))) % 1.32/1.56 (assume @p952 (forall @t1065 (=> @t984 (=> @t857 (=> @t858 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1064 @t764)))))) % 1.32/1.56 (assume @p953 (forall @t1065 (=> @t984 (=> @t857 (=> @t858 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t983 @t1064)))))) % 1.32/1.56 (assume @p954 (forall @t1066 (=> @t984 (=> @t861 (=> @t849 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1064 @t983)))))) % 1.32/1.56 (assume @p955 (forall @t1066 (=> @t984 (=> @t861 (=> @t849 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764 @t1064)))))) % 1.32/1.56 (assume @p956 (forall @t995 (= (tptp.hBOOL (tptp.hAPP @t573 @t1005)) (and (=> @t982 @t717) (=> @t981 (forall @t1004 (=> @t993 @t1067))) (=> @t992 (forall @t1004 (=> @t991 @t1067))))))) % 1.32/1.56 (assume @p957 (forall @t985 (=> @t984 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t55 @t983) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t852 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t957 @t56)) @t1010))))) % 1.32/1.56 (assume @p958 (forall @t1007 (=> @t992 (= @t1006 (forall @t1004 (=> @t991 @t1003)))))) % 1.32/1.56 (assume @p959 (forall @t319 (=> @t893 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t33) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t8 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t33))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t661 @t33)))))) % 1.32/1.56 (assume @p960 (forall @t886 (= (tptp.c_Complex_Ocis (tptp.hAPP (tptp.hAPP @t202 @t943) @t55)) (tptp.hAPP (tptp.hAPP @t807 (tptp.c_Complex_Ocis @t55)) (tptp.c_Complex_Ocis @t872))))) % 1.32/1.56 (assume @p961 (forall (@list @t56 @t55) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t55) @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1069 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t906 @t56)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1068 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t906 @t56)) @t56))))) % 1.32/1.56 (assume @p962 (forall (@list @t8 @t137) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t137) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t677 @t1070) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t8 @t137)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t8 @t137)) @t1070)))))) % 1.32/1.56 (assume @p963 (forall @t587 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t55 @t1014) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1013 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1012 @t56)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t55 @t58))))) % 1.32/1.56 (assume @p964 (forall @t54 (=> @t1027 (= (tptp.c_Divides_Odiv__class_Omod @t155 @t8 @t1026) (tptp.c_Groups_Oplus__class_Oplus @t155 (tptp.hAPP @t1025 (tptp.c_Divides_Odiv__class_Omod @t155 @t1024 @t19)) (tptp.c_Divides_Odiv__class_Omod @t155 @t8 @t33)))))) % 1.32/1.56 (assume @p965 (forall @t587 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1072 @t58) @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1072 @t1073) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1072 @t1071) @t56))))) % 1.32/1.56 (assume @p966 (forall @t463 (= @t1076 @t1075))) % 1.32/1.56 (assume @p967 (forall @t522 (= (tptp.hAPP @t501 @t1008) @t1075))) % 1.32/1.56 (assume @p968 (forall @t463 (= @t1074 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t1076)))) % 1.32/1.56 (assume @p969 (forall @t673 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t312 @t8)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t671 @t677)))) % 1.32/1.56 (assume @p970 (forall @t587 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t55 @t58) @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1069 @t1073) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1068 @t1071) @t56))))) % 1.32/1.56 (assume @p971 (forall @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1074 @t313))) % 1.32/1.56 (assume @p972 (forall @t522 (=> @t549 @t1077))) % 1.32/1.56 (assume @p973 (forall @t463 @t1078)) % 1.32/1.56 (assume @p974 (forall @t463 (and @t1079 @t1078))) % 1.32/1.56 (assume @p975 (forall @t463 @t1079)) % 1.32/1.56 (assume @p976 (forall @t548 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1080 @t312) @t1074))) % 1.32/1.56 (assume @p977 (forall @t528 (= (tptp.hAPP (tptp.hAPP @t458 @t1074) @t23) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t527 @t526)))) % 1.32/1.56 (assume @p978 (forall @t520 (= (tptp.hAPP @t516 @t1074) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t518 @t517)))) % 1.32/1.56 (assume @p979 (forall @t1050 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t496 @t182) @t159) (exists @t1049 (= @t496 (tptp.hAPP (tptp.hAPP @t458 @t182) @t1048)))))) % 1.32/1.56 (assume @p980 (forall @t522 (=> @t635 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1074 @t312)))) % 1.32/1.56 (assume @p981 (forall @t463 (and (=> @t1083 (= @t1082 @t159)) (=> (not @t1083) (= @t1082 @t1081))))) % 1.32/1.56 (assume @p982 (forall @t594 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t313 @t906) @t159))) % 1.32/1.56 (assume @p983 (forall @t463 (= @t1082 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1081 @t312)))) % 1.32/1.56 (assume @p984 (forall (@list @t1084 @t137 @t56 @t58 @t55 @t9) (=> (tptp.class_RealVector_Oreal__field @t9) (= (tptp.c_Rings_Oinverse__class_Odivide @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t226 @t328) @t1084) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t225 (tptp.c_Rings_Oinverse__class_Odivide @t9 @t178 @t1084)) (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Rings_Oinverse__class_Odivide @t9 @t179 @t1084)) @t137)))))) % 1.32/1.56 (assume @p985 (forall @t522 (=> @t635 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1074 @t312)))) % 1.32/1.56 (assume @p986 (forall @t548 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t1080) @t312) @t1082))) % 1.32/1.56 (assume @p987 (forall @t1088 (=> @t1087 (tptp.class_Groups_Ocancel__comm__monoid__add @t1086)))) % 1.32/1.56 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p992 (forall @t1091 (=> (tptp.class_Orderings_Opreorder @t1085) (tptp.class_Orderings_Opreorder @t1090)))) % 1.32/1.56 (assume @p993 (forall @t1091 (=> (tptp.class_Orderings_Oorder @t1085) (tptp.class_Orderings_Oorder @t1090)))) % 1.32/1.56 (assume @p994 (forall @t1091 (=> (tptp.class_Orderings_Oord @t1085) (tptp.class_Orderings_Oord @t1090)))) % 1.32/1.56 (assume @p995 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p996 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p998 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p999 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1000 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1001 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1002 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1003 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1004 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1005 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1006 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1007 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1008 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1009 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1010 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1011 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1012 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1013 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1014 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1015 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1016 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1018 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1019 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1020 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1021 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1023 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1024 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1025 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1026 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1027 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1028 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1029 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1030 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1031 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1032 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1033 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1034 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1035 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1036 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1037 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1038 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1039 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1040 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1041 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1042 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1043 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1044 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1045 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1046 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1047 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1048 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1049 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1050 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1051 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1052 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.32/1.56 (assume @p1053 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1054 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1055 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1056 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1057 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1058 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1059 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1060 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1061 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1062 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1063 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1064 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1065 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1066 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1068 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1069 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1070 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1073 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1074 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1075 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1076 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1077 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1078 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1079 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1080 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1081 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1082 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1083 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1084 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1085 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1086 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1087 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1088 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.32/1.56 (assume @p1089 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.32/1.56 (assume @p1090 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.32/1.56 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.32/1.56 (assume @p1092 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1093 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1094 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1095 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1096 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1097 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1098 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1100 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1101 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1102 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1103 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1104 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1105 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1106 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1107 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1108 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1109 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1110 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1111 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1112 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1113 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1114 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1115 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1116 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1117 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1118 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1119 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1120 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1121 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1122 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1123 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1124 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1125 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1126 @t1092) % 1.32/1.56 (assume @p1127 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1128 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1129 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1130 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1131 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1132 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1133 @t1093) % 1.32/1.56 (assume @p1134 @t1094) % 1.32/1.56 (assume @p1135 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1136 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1137 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1138 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1139 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1140 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1141 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1142 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1143 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1144 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1145 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1146 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1147 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1148 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1149 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1150 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1151 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1152 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1153 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.32/1.56 (assume @p1154 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1155 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1156 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1157 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1158 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1159 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1160 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1161 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1162 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1163 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1164 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1165 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1166 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1167 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1168 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1169 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1170 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1171 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1172 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1173 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1174 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1175 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1176 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1177 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1178 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1179 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1180 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1181 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1182 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1183 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1184 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1185 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1186 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1187 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1188 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1189 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.56 (assume @p1190 (forall @t1088 (=> @t1095 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1086)))) % 1.32/1.56 (assume @p1191 (forall @t1088 (=> @t1096 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1086)))) % 1.32/1.56 (assume @p1192 (forall @t1088 (=> @t1096 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1086)))) % 1.32/1.56 (assume @p1193 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1086)))) % 1.32/1.56 (assume @p1194 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__semiring__1__strict @t1086)))) % 1.32/1.56 (assume @p1195 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__semiring__strict @t1086)))) % 1.32/1.56 (assume @p1196 (forall @t1088 (=> @t1096 (tptp.class_Groups_Oordered__ab__semigroup__add @t1086)))) % 1.32/1.56 (assume @p1197 (forall @t1088 (=> @t1096 (tptp.class_Groups_Oordered__ab__group__add__abs @t1086)))) % 1.32/1.56 (assume @p1198 (forall @t1088 (=> @t1096 (tptp.class_Groups_Oordered__comm__monoid__add @t1086)))) % 1.32/1.56 (assume @p1199 (forall @t1088 (=> @t1096 (tptp.class_Groups_Olinordered__ab__group__add @t1086)))) % 1.32/1.56 (assume @p1200 (forall @t1088 (=> @t1087 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1086)))) % 1.32/1.56 (assume @p1201 (forall @t1088 (=> @t1095 (tptp.class_Rings_Oring__1__no__zero__divisors @t1086)))) % 1.32/1.56 (assume @p1202 (forall @t1088 (=> @t1096 (tptp.class_Rings_Oordered__cancel__semiring @t1086)))) % 1.32/1.56 (assume @p1203 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__ring__strict @t1086)))) % 1.32/1.56 (assume @p1204 (forall @t1088 (=> @t1095 (tptp.class_Rings_Oring__no__zero__divisors @t1086)))) % 1.32/1.56 (assume @p1205 (forall @t1088 (=> @t1096 (tptp.class_Rings_Oordered__comm__semiring @t1086)))) % 1.32/1.56 (assume @p1206 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__semiring__1 @t1086)))) % 1.32/1.56 (assume @p1207 (forall @t1088 (=> @t1096 (tptp.class_Groups_Oordered__ab__group__add @t1086)))) % 1.32/1.56 (assume @p1208 (forall @t1088 (=> @t1087 (tptp.class_Groups_Ocancel__semigroup__add @t1086)))) % 1.32/1.56 (assume @p1209 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__semiring @t1086)))) % 1.32/1.56 (assume @p1210 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__semidom @t1086)))) % 1.32/1.56 (assume @p1211 (forall @t1088 (=> @t1097 (tptp.class_Groups_Oab__semigroup__mult @t1086)))) % 1.32/1.56 (assume @p1212 (forall @t1088 (=> @t1098 (tptp.class_Groups_Ocomm__monoid__mult @t1086)))) % 1.32/1.56 (assume @p1213 (forall @t1088 (=> @t1099 (tptp.class_Groups_Oab__semigroup__add @t1086)))) % 1.32/1.56 (assume @p1214 (forall @t1088 (=> @t1096 (tptp.class_Rings_Oordered__semiring @t1086)))) % 1.32/1.56 (assume @p1215 (forall @t1088 (=> @t1096 (tptp.class_Rings_Oordered__ring__abs @t1086)))) % 1.32/1.56 (assume @p1216 (forall @t1088 (=> @t1095 (tptp.class_Rings_Ono__zero__divisors @t1086)))) % 1.32/1.56 (assume @p1217 (forall @t1088 (=> @t1099 (tptp.class_Groups_Ocomm__monoid__add @t1086)))) % 1.32/1.56 (assume @p1218 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__ring @t1086)))) % 1.32/1.56 (assume @p1219 (forall @t1088 (=> @t1096 (tptp.class_Rings_Olinordered__idom @t1086)))) % 1.32/1.56 (assume @p1220 (forall @t1088 (=> @t1098 (tptp.class_Rings_Ocomm__semiring__1 @t1086)))) % 1.32/1.56 (assume @p1221 (forall @t1088 (=> @t1097 (tptp.class_Rings_Ocomm__semiring__0 @t1086)))) % 1.32/1.56 (assume @p1222 (forall @t1088 (=> @t1100 (tptp.class_Divides_Osemiring__div @t1086)))) % 1.32/1.56 (assume @p1223 (forall @t1088 (=> @t1097 (tptp.class_Rings_Ocomm__semiring @t1086)))) % 1.32/1.56 (assume @p1224 (forall @t1088 (=> @t1101 (tptp.class_Groups_Oab__group__add @t1086)))) % 1.32/1.56 (assume @p1225 (forall @t1088 (=> @t1098 (tptp.class_Rings_Ozero__neq__one @t1086)))) % 1.32/1.56 (assume @p1226 (forall @t1088 (=> @t1096 (tptp.class_Rings_Oordered__ring @t1086)))) % 1.32/1.56 (assume @p1227 (forall @t1088 (=> @t1096 (tptp.class_Orderings_Opreorder @t1086)))) % 1.32/1.56 (assume @p1228 (forall @t1088 (=> @t1096 (tptp.class_Orderings_Olinorder @t1086)))) % 1.32/1.56 (assume @p1229 (forall @t1088 (=> @t1098 (tptp.class_Groups_Omonoid__mult @t1086)))) % 1.32/1.56 (assume @p1230 (forall @t1088 (=> @t1102 (tptp.class_Rings_Ocomm__ring__1 @t1086)))) % 1.32/1.56 (assume @p1231 (forall @t1088 (=> @t1099 (tptp.class_Groups_Omonoid__add @t1086)))) % 1.32/1.56 (assume @p1232 (forall @t1088 (=> @t1097 (tptp.class_Rings_Osemiring__0 @t1086)))) % 1.32/1.56 (assume @p1233 (forall @t1088 (=> @t1101 (tptp.class_Groups_Ogroup__add @t1086)))) % 1.32/1.56 (assume @p1234 (forall @t1088 (=> @t1100 (tptp.class_Divides_Oring__div @t1086)))) % 1.32/1.56 (assume @p1235 (forall @t1088 (=> @t1097 (tptp.class_Rings_Omult__zero @t1086)))) % 1.32/1.56 (assume @p1236 (forall @t1088 (=> @t1103 (tptp.class_Rings_Ocomm__ring @t1086)))) % 1.32/1.56 (assume @p1237 (forall @t1088 (=> @t1096 (tptp.class_Orderings_Oorder @t1086)))) % 1.32/1.56 (assume @p1238 (forall @t1088 (=> @t1096 (tptp.class_Int_Oring__char__0 @t1086)))) % 1.32/1.56 (assume @p1239 (forall @t1088 (=> @t1097 (tptp.class_Rings_Osemiring @t1086)))) % 1.32/1.56 (assume @p1240 (forall @t1088 (=> @t1096 (tptp.class_Orderings_Oord @t1086)))) % 1.32/1.56 (assume @p1241 (forall @t1088 (=> @t1096 (tptp.class_Groups_Osgn__if @t1086)))) % 1.32/1.56 (assume @p1242 (forall @t1088 (=> @t1102 (tptp.class_Rings_Oring__1 @t1086)))) % 1.32/1.56 (assume @p1243 (forall @t1088 (=> @t1098 (tptp.class_Power_Opower @t1086)))) % 1.32/1.56 (assume @p1244 (forall @t1088 (=> (tptp.class_Groups_Ozero @t1085) (tptp.class_Groups_Ozero @t1086)))) % 1.32/1.56 (assume @p1245 (forall @t1088 (=> @t1103 (tptp.class_Rings_Oring @t1086)))) % 1.32/1.56 (assume @p1246 (forall @t1088 (=> @t1095 (tptp.class_Rings_Oidom @t1086)))) % 1.32/1.56 (assume @p1247 (forall @t1088 (=> @t1098 (tptp.class_Groups_Oone @t1086)))) % 1.32/1.56 (assume @p1248 (forall @t398 (or (not @t1104) @t42))) % 1.32/1.56 (assume @p1249 (forall @t398 (or @t273 @t1104))) % 1.32/1.56 (assume @p1250 (not @t1105)) % 1.32/1.56 (assume @p1251 true) % 1.32/1.56 (step @p1252 :rule evaluate :args ((= false true))) % 1.32/1.56 (step @p1253 :rule aci_norm :args ((= (or @t1107 @t1108) (or @t1107 @t49 @t1106 @t260)))) % 1.32/1.56 (step @p1254 :rule aci_norm :args ((= (or @t49 (or @t1106 @t260)) @t1108))) % 1.32/1.56 (step @p1255 :rule bool-impl-elim :args (@t261 @t260)) % 1.32/1.56 (step @p1256 :rule refl :args (@t49)) % 1.32/1.56 (step @p1257 :rule nary_cong :premises (@p1256 @p1255) :args ((or @t49 @t262))) % 1.32/1.56 (step @p1258 :rule trans :premises (@p1257 @p1254)) % 1.32/1.56 (step @p1259 :rule bool-impl-elim :args (@t35 @t262)) % 1.32/1.56 (step @p1260 :rule trans :premises (@p1259 @p1258)) % 1.32/1.56 (step @p1261 :rule refl :args (@t1107)) % 1.32/1.56 (step @p1262 :rule nary_cong :premises (@p1261 @p1260) :args ((or @t1107 @t369))) % 1.32/1.56 (step @p1263 :rule trans :premises (@p1262 @p1253)) % 1.32/1.56 (step @p1264 :rule bool-impl-elim :args (@t10 @t369)) % 1.32/1.56 (step @p1265 :rule trans :premises (@p1264 @p1263)) % 1.32/1.56 (step @p1266 :rule cong :premises (@p1265) :args (@t370)) % 1.32/1.56 (step @p1267 :rule eq_resolve :premises (@p200 @p1266)) % 1.32/1.56 (step @p1268 :rule instantiate :premises (@p1267) :args ((@list tptp.v_r____ @t12 @t15 tptp.tc_RealDef_Oreal))) % 1.32/1.56 (step @p1269 :rule aci_norm :args ((= (or @t1109 (or @t34 @t211)) (or @t1109 @t34 @t211)))) % 1.32/1.56 (step @p1270 :rule refl :args (@t211)) % 1.32/1.56 (step @p1271 :rule bool-double-not-elim :args (@t34)) % 1.32/1.56 (step @p1272 :rule nary_cong :premises (@p1271 @p1270) :args ((or (not @t372) @t211))) % 1.32/1.56 (step @p1273 :rule bool-impl-elim :args (@t372 @t211)) % 1.32/1.56 (step @p1274 :rule trans :premises (@p1273 @p1272)) % 1.32/1.56 (step @p1275 :rule refl :args (@t1109)) % 1.32/1.56 (step @p1276 :rule nary_cong :premises (@p1275 @p1274) :args ((or @t1109 @t373))) % 1.32/1.56 (step @p1277 :rule trans :premises (@p1276 @p1269)) % 1.32/1.56 (step @p1278 :rule bool-impl-elim :args (@t36 @t373)) % 1.32/1.56 (step @p1279 :rule trans :premises (@p1278 @p1277)) % 1.32/1.56 (step @p1280 :rule cong :premises (@p1279) :args (@t374)) % 1.32/1.56 (step @p1281 :rule eq_resolve :premises (@p212 @p1280)) % 1.32/1.56 (step @p1282 :rule instantiate :premises (@p1281) :args ((@list @t12 tptp.v_r____ tptp.tc_RealDef_Oreal))) % 1.32/1.56 (step @p1283 :rule cnf_or_pos :args (@t1112)) % 1.32/1.56 (step @p1284 :rule reordering :premises (@p1283) :args ((or @t1105 @t1111 @t1110 (not @t1112)))) % 1.32/1.56 (step @p1285 :rule chain_m_resolution :premises (@p1284 @p1250 @p1134 @p1282) :args (@t1110 (@list true false false) (@list @t1105 @t1094 @t1112))) % 1.32/1.56 (step @p1286 :rule cnf_or_pos :args (@t1117)) % 1.32/1.56 (step @p1287 :rule reordering :premises (@p1286) :args ((or @t1115 @t1116 @t1114 @t1113 (not @t1117)))) % 1.32/1.56 (step @p1288 :rule chain_m_resolution :premises (@p1287 @p4 @p1133 @p1285 @p1268) :args (@t1113 (@list false false false false) (@list @t16 @t1093 @t1110 @t1117))) % 1.32/1.56 (step @p1289 :rule true_intro :premises (@p1288)) % 1.32/1.56 (step @p1290 :rule refl :args (tptp.v_r____)) % 1.32/1.56 (step @p1291 :rule bool-impl-elim :args (@t154 @t1118)) % 1.32/1.56 (step @p1292 :rule cong :premises (@p1291) :args ((forall @t436 (=> @t154 @t1118)))) % 1.32/1.56 (step @p1293 :rule eq-symm :args (@t112 @t109)) % 1.32/1.56 (step @p1294 :rule refl :args (@t154)) % 1.32/1.56 (step @p1295 :rule cong :premises (@p1294 @p1293) :args (@t435)) % 1.32/1.56 (step @p1296 :rule cong :premises (@p1295) :args (@t437)) % 1.32/1.56 (step @p1297 :rule trans :premises (@p1296 @p1292)) % 1.32/1.56 (step @p1298 :rule eq_resolve :premises (@p322 @p1297)) % 1.32/1.56 (step @p1299 :rule instantiate :premises (@p1298) :args ((@list @t14 @t13 tptp.tc_RealDef_Oreal))) % 1.32/1.56 (step @p1300 :rule cnf_or_pos :args (@t1122)) % 1.32/1.56 (step @p1301 :rule reordering :premises (@p1300) :args ((or @t1121 @t1120 (not @t1122)))) % 1.32/1.56 (step @p1302 :rule chain_m_resolution :premises (@p1301 @p1126 @p1299) :args (@t1120 (@list false false) (@list @t1092 @t1122))) % 1.32/1.56 (step @p1303 :rule symm :premises (@p1302)) % 1.32/1.56 (step @p1304 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.32/1.56 (step @p1305 :rule cong :premises (@p1304 @p1303 @p1290) :args ((tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1119 tptp.v_r____))) % 1.32/1.56 (step @p1306 :rule instantiate :premises (@p328) :args ((@list tptp.v_r____))) % 1.32/1.56 (step @p1307 :rule false_intro :premises (@p1306)) % 1.32/1.56 (step @p1308 :rule symm :premises (@p1307)) % 1.32/1.56 (step @p1309 :rule trans :premises (@p1308 @p1305 @p1289)) % 1.32/1.56 (step @p1310 false :rule eq_resolve :premises (@p1309 @p1252)) % 1.32/1.56 ) % 1.32/1.56 % SZS output end Proof % 1.32/1.56 % cvc5 exiting %------------------------------------------------------------------------------