%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW235+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:34 AM UTC 2026 % Result : Theorem 1.11s 1.33s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW235+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 21:41:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.44/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.11/1.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.11/1.33 % SZS status Theorem % 1.11/1.33 % SZS output start Proof % 1.11/1.33 ( % 1.11/1.33 (declare-sort $$unsorted 0) % 1.11/1.33 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.11/1.33 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.11/1.33 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.11/1.33 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.11/1.33 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.11/1.33 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.v_cs____ $$unsorted) % 1.11/1.34 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.v_da____ $$unsorted) % 1.11/1.34 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.v_aa____ $$unsorted) % 1.11/1.34 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.11/1.34 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.v_r____ $$unsorted) % 1.11/1.34 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.v_z____ $$unsorted) % 1.11/1.34 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.v_c____ $$unsorted) % 1.11/1.34 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.11/1.34 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.v_p $$unsorted) % 1.11/1.34 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Complex_Ocis (-> $$unsorted $$unsorted)) % 1.11/1.34 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.11/1.34 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.34 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.11/1.34 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.11/1.34 (define @t3 () (@var "B_x" $$unsorted)) % 1.11/1.34 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.11/1.34 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.11/1.34 (define @t6 () (@list @t3)) % 1.11/1.34 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))) % 1.11/1.34 (define @t8 () (not (= tptp.v_cs____ @t7))) % 1.11/1.34 (define @t9 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_c____ tptp.v_cs____)) % 1.11/1.34 (define @t10 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z____)) % 1.11/1.34 (define @t11 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_aa____)) % 1.11/1.34 (define @t12 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t9)) % 1.11/1.34 (define @t13 () (tptp.hAPP @t12 tptp.v_z____)) % 1.11/1.34 (define @t14 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t15 () (tptp.hAPP (tptp.hAPP @t14 tptp.v_z____) @t13)) % 1.11/1.34 (define @t16 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15)) % 1.11/1.34 (define @t17 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t11)) % 1.11/1.34 (define @t18 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t15 tptp.v_aa____)) % 1.11/1.34 (define @t19 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t18)) % 1.11/1.34 (define @t20 () (@var "V_b" $$unsorted)) % 1.11/1.34 (define @t21 () (@var "V_a" $$unsorted)) % 1.11/1.34 (define @t22 () (@var "T_a" $$unsorted)) % 1.11/1.34 (define @t23 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t21 @t20)) % 1.11/1.34 (define @t24 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t23)) % 1.11/1.34 (define @t25 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t20)) % 1.11/1.34 (define @t26 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t21)) % 1.11/1.34 (define @t27 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t26 @t25)) % 1.11/1.34 (define @t28 () (tptp.class_RealVector_Oreal__normed__vector @t22)) % 1.11/1.34 (define @t29 () (@list @t20 @t21 @t22)) % 1.11/1.34 (define @t30 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t13)) % 1.11/1.34 (define @t31 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal tptp.v_da____ @t11)) % 1.11/1.34 (define @t32 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.11/1.34 (define @t33 () (@var "B_z" $$unsorted)) % 1.11/1.34 (define @t34 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t12 @t33)))) % 1.11/1.34 (define @t35 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t33)) % 1.11/1.34 (define @t36 () (@list @t33)) % 1.11/1.34 (define @t37 () (@var "V_y" $$unsorted)) % 1.11/1.34 (define @t38 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t37)) % 1.11/1.34 (define @t39 () (@var "V_x" $$unsorted)) % 1.11/1.34 (define @t40 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t39)) % 1.11/1.34 (define @t41 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.11/1.34 (define @t42 () (tptp.hAPP (tptp.hAPP @t41 @t40) @t38)) % 1.11/1.34 (define @t43 () (tptp.c_Groups_Otimes__class_Otimes @t22)) % 1.11/1.34 (define @t44 () (tptp.hAPP @t43 @t39)) % 1.11/1.34 (define @t45 () (tptp.hAPP @t44 @t37)) % 1.11/1.34 (define @t46 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t45)) % 1.11/1.34 (define @t47 () (tptp.class_RealVector_Oreal__normed__algebra @t22)) % 1.11/1.34 (define @t48 () (@list @t37 @t39 @t22)) % 1.11/1.34 (define @t49 () (tptp.class_Orderings_Opreorder @t22)) % 1.11/1.34 (define @t50 () (@list @t39 @t22)) % 1.11/1.34 (define @t51 () (@var "V_q" $$unsorted)) % 1.11/1.34 (define @t52 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t51) @t39)) % 1.11/1.34 (define @t53 () (@var "V_p" $$unsorted)) % 1.11/1.34 (define @t54 () (tptp.c_Polynomial_Opoly @t22 @t53)) % 1.11/1.34 (define @t55 () (tptp.hAPP @t54 @t39)) % 1.11/1.34 (define @t56 () (tptp.tc_Polynomial_Opoly @t22)) % 1.11/1.34 (define @t57 () (tptp.c_Groups_Ominus__class_Ominus @t56 @t53 @t51)) % 1.11/1.34 (define @t58 () (@list @t39 @t51 @t53 @t22)) % 1.11/1.34 (define @t59 () (tptp.c_Groups_Otimes__class_Otimes @t56)) % 1.11/1.34 (define @t60 () (tptp.hAPP @t59 @t53)) % 1.11/1.34 (define @t61 () (tptp.hAPP @t60 @t51)) % 1.11/1.34 (define @t62 () (tptp.class_Rings_Ocomm__semiring__0 @t22)) % 1.11/1.34 (define @t63 () (tptp.c_Polynomial_OpCons @t22 @t20 @t51)) % 1.11/1.34 (define @t64 () (tptp.c_Polynomial_OpCons @t22 @t21 @t53)) % 1.11/1.34 (define @t65 () (tptp.class_Groups_Oab__group__add @t22)) % 1.11/1.34 (define @t66 () (@list @t51 @t20 @t53 @t21 @t22)) % 1.11/1.34 (define @t67 () (tptp.hAPP @t41 @t32)) % 1.11/1.34 (define @t68 () (tptp.c_Groups_Ozero__class_Ozero @t56)) % 1.11/1.34 (define @t69 () (tptp.c_Groups_Oone__class_Oone @t22)) % 1.11/1.34 (define @t70 () (tptp.c_Groups_Oone__class_Oone @t56)) % 1.11/1.34 (define @t71 () (tptp.class_Rings_Ocomm__semiring__1 @t22)) % 1.11/1.34 (define @t72 () (@list @t22)) % 1.11/1.34 (define @t73 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t22)) % 1.11/1.34 (define @t74 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.11/1.34 (define @t75 () (tptp.c_Groups_Ozero__class_Ozero @t22)) % 1.11/1.34 (define @t76 () (tptp.class_Groups_Ozero @t22)) % 1.11/1.34 (define @t77 () (tptp.c_Polynomial_Opoly @t22 @t68)) % 1.11/1.34 (define @t78 () (@list @t51 @t22)) % 1.11/1.34 (define @t79 () (@list @t53 @t22)) % 1.11/1.34 (define @t80 () (@var "V_x_2" $$unsorted)) % 1.11/1.34 (define @t81 () (= @t80 @t75)) % 1.11/1.34 (define @t82 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t80)) % 1.11/1.34 (define @t83 () (@list @t80 @t22)) % 1.11/1.34 (define @t84 () (@var "V_pa_2" $$unsorted)) % 1.11/1.34 (define @t85 () (= @t84 @t68)) % 1.11/1.34 (define @t86 () (@var "V_ab_2" $$unsorted)) % 1.11/1.34 (define @t87 () (= @t86 @t75)) % 1.11/1.34 (define @t88 () (tptp.c_Polynomial_OpCons @t22 @t86 @t84)) % 1.11/1.34 (define @t89 () (@list @t84 @t86 @t22)) % 1.11/1.34 (define @t90 () (tptp.c_Groups_Oplus__class_Oplus @t56 @t53 @t51)) % 1.11/1.34 (define @t91 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t20)) % 1.11/1.34 (define @t92 () (tptp.class_Groups_Ocomm__monoid__add @t22)) % 1.11/1.34 (define @t93 () (@var "V_ya" $$unsorted)) % 1.11/1.34 (define @t94 () (tptp.hAPP @t43 @t37)) % 1.11/1.34 (define @t95 () (tptp.hAPP @t94 @t93)) % 1.11/1.34 (define @t96 () (tptp.hAPP @t44 @t93)) % 1.11/1.34 (define @t97 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t39 @t37)) % 1.11/1.34 (define @t98 () (@list @t93 @t37 @t39 @t22)) % 1.11/1.34 (define @t99 () (@var "V_a_H" $$unsorted)) % 1.11/1.34 (define @t100 () (tptp.hAPP @t43 @t99)) % 1.11/1.34 (define @t101 () (tptp.hAPP @t100 @t20)) % 1.11/1.34 (define @t102 () (tptp.hAPP @t43 @t21)) % 1.11/1.34 (define @t103 () (tptp.hAPP @t102 @t20)) % 1.11/1.34 (define @t104 () (@list @t20 @t99 @t21 @t22)) % 1.11/1.34 (define @t105 () (@var "V_xa" $$unsorted)) % 1.11/1.34 (define @t106 () (tptp.hAPP @t43 @t105)) % 1.11/1.34 (define @t107 () (tptp.hAPP @t106 @t37)) % 1.11/1.34 (define @t108 () (tptp.hAPP @t106 @t39)) % 1.11/1.34 (define @t109 () (@list @t37 @t39 @t105 @t22)) % 1.11/1.34 (define @t110 () (@var "V_b_H" $$unsorted)) % 1.11/1.34 (define @t111 () (tptp.hAPP @t102 @t110)) % 1.11/1.34 (define @t112 () (@list @t110 @t20 @t21 @t22)) % 1.11/1.34 (define @t113 () (= (tptp.hAPP @t102 @t75) @t75)) % 1.11/1.34 (define @t114 () (@list @t21 @t22)) % 1.11/1.34 (define @t115 () (tptp.hAPP @t43 @t75)) % 1.11/1.34 (define @t116 () (@list @t37 @t22)) % 1.11/1.34 (define @t117 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t97)) % 1.11/1.34 (define @t118 () (tptp.c_Polynomial_Opoly @t22 @t84)) % 1.11/1.34 (define @t119 () (tptp.class_Rings_Oidom @t22)) % 1.11/1.34 (define @t120 () (and (tptp.class_Int_Oring__char__0 @t22) @t119)) % 1.11/1.34 (define @t121 () (@list @t84 @t22)) % 1.11/1.34 (define @t122 () (@var "V_z" $$unsorted)) % 1.11/1.34 (define @t123 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t122)) % 1.11/1.34 (define @t124 () (@var "V_w" $$unsorted)) % 1.11/1.34 (define @t125 () (@list @t122 @t124)) % 1.11/1.34 (define @t126 () (@var "V_d" $$unsorted)) % 1.11/1.34 (define @t127 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t20 @t126)) % 1.11/1.34 (define @t128 () (@var "V_c" $$unsorted)) % 1.11/1.34 (define @t129 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t21 @t128)) % 1.11/1.34 (define @t130 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t128 @t126)) % 1.11/1.34 (define @t131 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t91 @t130)) % 1.11/1.34 (define @t132 () (@list @t126 @t128 @t20 @t21 @t22)) % 1.11/1.34 (define @t133 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t37 @t20)) % 1.11/1.34 (define @t134 () (tptp.hAPP @t43 (tptp.c_Groups_Ominus__class_Ominus @t22 @t39 @t21))) % 1.11/1.34 (define @t135 () (tptp.hAPP @t134 @t20)) % 1.11/1.34 (define @t136 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t45 @t103)) % 1.11/1.34 (define @t137 () (@list @t20 @t21 @t37 @t39 @t22)) % 1.11/1.34 (define @t138 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t27 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t91))) % 1.11/1.34 (define @t139 () (forall @t29 (=> @t28 @t138))) % 1.11/1.34 (define @t140 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t64) @t39) (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 (tptp.hAPP @t44 @t55)))) % 1.11/1.34 (define @t141 () (forall (@list @t39 @t53 @t21 @t22) (=> @t62 @t140))) % 1.11/1.34 (define @t142 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t37 @t39)) % 1.11/1.34 (define @t143 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t39 @t37)) % 1.11/1.34 (define @t144 () (tptp.class_Orderings_Olinorder @t22)) % 1.11/1.34 (define @t145 () (@var "T_b" $$unsorted)) % 1.11/1.34 (define @t146 () (tptp.tc_fun @t22 @t145)) % 1.11/1.34 (define @t147 () (tptp.c_Orderings_Oord__class_Oless__eq @t146 @t2 @t1)) % 1.11/1.34 (define @t148 () (tptp.class_Orderings_Oord @t145)) % 1.11/1.34 (define @t149 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t37)) % 1.11/1.34 (define @t150 () (tptp.class_Orderings_Oorder @t22)) % 1.11/1.34 (define @t151 () (@list @t122 @t39 @t37 @t22)) % 1.11/1.34 (define @t152 () (= @t39 @t37)) % 1.11/1.34 (define @t153 () (@list @t39 @t37 @t22)) % 1.11/1.34 (define @t154 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t37 @t122)) % 1.11/1.34 (define @t155 () (@list @t122 @t37 @t39 @t22)) % 1.11/1.34 (define @t156 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t128 @t21)) % 1.11/1.34 (define @t157 () (= @t20 @t128)) % 1.11/1.34 (define @t158 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t20 @t21)) % 1.11/1.34 (define @t159 () (@list @t128 @t21 @t20 @t22)) % 1.11/1.34 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t21 @t128)) % 1.11/1.34 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t21 @t20)) % 1.11/1.34 (define @t162 () (tptp.class_Orderings_Oord @t22)) % 1.11/1.34 (define @t163 () (@list @t128 @t20 @t21 @t22)) % 1.11/1.34 (define @t164 () (= @t21 @t20)) % 1.11/1.34 (define @t165 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t20 @t128)) % 1.11/1.34 (define @t166 () (@var "V_y_2" $$unsorted)) % 1.11/1.34 (define @t167 () (= @t80 @t166)) % 1.11/1.34 (define @t168 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t80 @t166)) % 1.11/1.34 (define @t169 () (= @t168 @t167)) % 1.11/1.34 (define @t170 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t166 @t80)) % 1.11/1.34 (define @t171 () (@list @t80 @t166 @t22)) % 1.11/1.34 (define @t172 () (@list @t166 @t80 @t22)) % 1.11/1.34 (define @t173 () (@list @t1 @t2 @t22 @t145)) % 1.11/1.34 (define @t174 () (@var "V_q_2" $$unsorted)) % 1.11/1.34 (define @t175 () (= @t84 @t174)) % 1.11/1.34 (define @t176 () (@var "V_b_2" $$unsorted)) % 1.11/1.34 (define @t177 () (= @t86 @t176)) % 1.11/1.34 (define @t178 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t39 @t37)) % 1.11/1.34 (define @t179 () (tptp.hAPP @t43 @t178)) % 1.11/1.34 (define @t180 () (tptp.class_RealVector_Oreal__normed__div__algebra @t22)) % 1.11/1.34 (define @t181 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t20 @t21)) % 1.11/1.34 (define @t182 () (@var "B_r" $$unsorted)) % 1.11/1.34 (define @t183 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t182 @t35)) % 1.11/1.34 (define @t184 () (@list @t182)) % 1.11/1.34 (define @t185 () (@var "V_v" $$unsorted)) % 1.11/1.34 (define @t186 () (@var "V_u" $$unsorted)) % 1.11/1.34 (define @t187 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP (tptp.hAPP @t43 @t186) @t39) (tptp.hAPP (tptp.hAPP @t43 @t185) @t37))) % 1.11/1.34 (define @t188 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t186 @t185) @t69)) % 1.11/1.34 (define @t189 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t185)) % 1.11/1.34 (define @t190 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t186)) % 1.11/1.34 (define @t191 () (@list @t185 @t186 @t37 @t21 @t39 @t22)) % 1.11/1.34 (define @t192 () (@list @t21 @t20)) % 1.11/1.34 (define @t193 () (= @t39 @t75)) % 1.11/1.34 (define @t194 () (tptp.hAPP @t41 @t128)) % 1.11/1.34 (define @t195 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t128 @t74)) % 1.11/1.34 (define @t196 () (tptp.hAPP @t44 @t39)) % 1.11/1.34 (define @t197 () (@var "V_db_2" $$unsorted)) % 1.11/1.34 (define @t198 () (@var "V_ca_2" $$unsorted)) % 1.11/1.34 (define @t199 () (@var "V_e_2" $$unsorted)) % 1.11/1.34 (define @t200 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t86 @t176)) % 1.11/1.34 (define @t201 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP (tptp.hAPP @t43 @t200) @t199) @t198)) % 1.11/1.34 (define @t202 () (tptp.hAPP @t43 @t176)) % 1.11/1.34 (define @t203 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t202 @t199) @t197)) % 1.11/1.34 (define @t204 () (tptp.hAPP @t43 @t86)) % 1.11/1.34 (define @t205 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t204 @t199) @t198)) % 1.11/1.34 (define @t206 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t205 @t203)) % 1.11/1.34 (define @t207 () (tptp.class_Rings_Oordered__ring @t22)) % 1.11/1.34 (define @t208 () (@list @t197 @t176 @t198 @t199 @t86 @t22)) % 1.11/1.34 (define @t209 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP (tptp.hAPP @t43 (tptp.c_Groups_Ominus__class_Ominus @t22 @t176 @t86)) @t199) @t197)) % 1.11/1.34 (define @t210 () (tptp.hAPP @t94 @t39)) % 1.11/1.34 (define @t211 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t37 @t69)) % 1.11/1.34 (define @t212 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t37)) % 1.11/1.34 (define @t213 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t39)) % 1.11/1.34 (define @t214 () (tptp.class_Rings_Olinordered__idom @t22)) % 1.11/1.34 (define @t215 () (= @t166 @t75)) % 1.11/1.34 (define @t216 () (and @t81 @t215)) % 1.11/1.34 (define @t217 () (tptp.hAPP @t43 @t80)) % 1.11/1.34 (define @t218 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t217 @t80) (tptp.hAPP (tptp.hAPP @t43 @t166) @t166))) % 1.11/1.34 (define @t219 () (tptp.class_Rings_Olinordered__ring__strict @t22)) % 1.11/1.34 (define @t220 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t196 (tptp.hAPP @t94 @t37))) % 1.11/1.34 (define @t221 () (tptp.class_Rings_Olinordered__ring @t22)) % 1.11/1.34 (define @t222 () (@var "V_r" $$unsorted)) % 1.11/1.34 (define @t223 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t222)) % 1.11/1.34 (define @t224 () (@list @t222)) % 1.11/1.34 (define @t225 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t20)) % 1.11/1.34 (define @t226 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t21)) % 1.11/1.34 (define @t227 () (tptp.hAPP @t43 @t226)) % 1.11/1.34 (define @t228 () (tptp.hAPP @t227 @t225)) % 1.11/1.34 (define @t229 () (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t103) @t228)) % 1.11/1.34 (define @t230 () (tptp.hAPP @t102 @t21)) % 1.11/1.34 (define @t231 () (tptp.hAPP @t41 @t198)) % 1.11/1.34 (define @t232 () (not (= @t198 @t74))) % 1.11/1.34 (define @t233 () (@list @t176 @t86 @t198)) % 1.11/1.34 (define @t234 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t39)) % 1.11/1.34 (define @t235 () (tptp.hAPP @t59 @t51)) % 1.11/1.34 (define @t236 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t166)) % 1.11/1.34 (define @t237 () (@list @t166 @t80)) % 1.11/1.34 (define @t238 () (= @t80 @t74)) % 1.11/1.34 (define @t239 () (tptp.hAPP @t41 @t166)) % 1.11/1.34 (define @t240 () (tptp.hAPP @t41 @t80)) % 1.11/1.34 (define @t241 () (tptp.hAPP @t240 @t80)) % 1.11/1.34 (define @t242 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t20 @t75)) % 1.11/1.34 (define @t243 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t20)) % 1.11/1.34 (define @t244 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t21 @t75)) % 1.11/1.34 (define @t245 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t21)) % 1.11/1.34 (define @t246 () (@list @t124)) % 1.11/1.34 (define @t247 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t124 @t122)) % 1.11/1.34 (define @t248 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t122 @t124)) % 1.11/1.34 (define @t249 () (@list @t124 @t122)) % 1.11/1.34 (define @t250 () (@var "V_k" $$unsorted)) % 1.11/1.34 (define @t251 () (@var "V_i" $$unsorted)) % 1.11/1.34 (define @t252 () (@var "V_j" $$unsorted)) % 1.11/1.34 (define @t253 () (@list @t250 @t252 @t251)) % 1.11/1.34 (define @t254 () (= @t122 @t124)) % 1.11/1.34 (define @t255 () (@var "V_z3" $$unsorted)) % 1.11/1.34 (define @t256 () (@var "V_z2" $$unsorted)) % 1.11/1.34 (define @t257 () (tptp.hAPP @t41 @t256)) % 1.11/1.34 (define @t258 () (@var "V_z1" $$unsorted)) % 1.11/1.34 (define @t259 () (tptp.hAPP @t41 @t258)) % 1.11/1.34 (define @t260 () (@list @t255 @t256 @t258)) % 1.11/1.34 (define @t261 () (tptp.hAPP @t41 @t122)) % 1.11/1.34 (define @t262 () (= (tptp.hAPP @t115 @t21) @t75)) % 1.11/1.34 (define @t263 () (tptp.class_Rings_Omult__zero @t22)) % 1.11/1.34 (define @t264 () (tptp.hAPP @t204 @t176)) % 1.11/1.34 (define @t265 () (@list @t176 @t86 @t22)) % 1.11/1.34 (define @t266 () (= @t103 @t75)) % 1.11/1.34 (define @t267 () (= @t20 @t75)) % 1.11/1.34 (define @t268 () (not @t267)) % 1.11/1.34 (define @t269 () (= @t21 @t75)) % 1.11/1.34 (define @t270 () (not @t269)) % 1.11/1.34 (define @t271 () (tptp.class_Rings_Ono__zero__divisors @t22)) % 1.11/1.34 (define @t272 () (tptp.class_Rings_Ozero__neq__one @t22)) % 1.11/1.34 (define @t273 () (tptp.hAPP @t43 @t20)) % 1.11/1.34 (define @t274 () (tptp.hAPP @t273 @t128)) % 1.11/1.34 (define @t275 () (tptp.hAPP @t102 @t128)) % 1.11/1.34 (define @t276 () (tptp.hAPP @t43 @t91)) % 1.11/1.34 (define @t277 () (= (tptp.hAPP @t276 @t128) (tptp.c_Groups_Oplus__class_Oplus @t22 @t275 @t274))) % 1.11/1.34 (define @t278 () (@var "V_e" $$unsorted)) % 1.11/1.34 (define @t279 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t37)) % 1.11/1.34 (define @t280 () (@list @t122 @t37 @t39)) % 1.11/1.34 (define @t281 () (@list @t122)) % 1.11/1.34 (define @t282 () (@list @t124 @t256 @t258)) % 1.11/1.34 (define @t283 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t176 @t75)) % 1.11/1.34 (define @t284 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t86 @t75)) % 1.11/1.34 (define @t285 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t176)) % 1.11/1.34 (define @t286 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t86)) % 1.11/1.34 (define @t287 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t103)) % 1.11/1.34 (define @t288 () (tptp.class_Rings_Oordered__cancel__semiring @t22)) % 1.11/1.34 (define @t289 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t103 @t75)) % 1.11/1.34 (define @t290 () (tptp.hAPP @t273 @t21)) % 1.11/1.34 (define @t291 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t275 @t274)) % 1.11/1.34 (define @t292 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t128)) % 1.11/1.34 (define @t293 () (tptp.class_Rings_Oordered__semiring @t22)) % 1.11/1.34 (define @t294 () (tptp.hAPP @t43 @t128)) % 1.11/1.34 (define @t295 () (tptp.hAPP @t294 @t20)) % 1.11/1.34 (define @t296 () (tptp.hAPP @t294 @t21)) % 1.11/1.34 (define @t297 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t296 @t295)) % 1.11/1.34 (define @t298 () (=> @t161 (=> @t292 @t297))) % 1.11/1.34 (define @t299 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t128 @t75)) % 1.11/1.34 (define @t300 () (tptp.hAPP @t273 @t126)) % 1.11/1.34 (define @t301 () (=> @t292 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t275 @t300))) % 1.11/1.34 (define @t302 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t128 @t126)) % 1.11/1.34 (define @t303 () (tptp.class_Rings_Olinordered__semidom @t22)) % 1.11/1.34 (define @t304 () (tptp.class_Rings_Oring @t22)) % 1.11/1.34 (define @t305 () (= @t205 @t203)) % 1.11/1.34 (define @t306 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t226 @t225)) % 1.11/1.34 (define @t307 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t23)) % 1.11/1.34 (define @t308 () (tptp.class_Groups_Oordered__ab__group__add__abs @t22)) % 1.11/1.34 (define @t309 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t226 @t225)) % 1.11/1.34 (define @t310 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t181)) % 1.11/1.34 (define @t311 () (= @t226 @t21)) % 1.11/1.34 (define @t312 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t86)) % 1.11/1.34 (define @t313 () (@list @t86 @t22)) % 1.11/1.34 (define @t314 () (tptp.c_Polynomial_Opcompose @t22 @t53 @t51)) % 1.11/1.34 (define @t315 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t20 @t128)) % 1.11/1.34 (define @t316 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t91 @t128)) % 1.11/1.34 (define @t317 () (= @t316 (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t315))) % 1.11/1.34 (define @t318 () (= @t176 @t198)) % 1.11/1.34 (define @t319 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t86 @t198)) % 1.11/1.34 (define @t320 () (tptp.class_Groups_Ocancel__semigroup__add @t22)) % 1.11/1.34 (define @t321 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t198 @t86)) % 1.11/1.34 (define @t322 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t176 @t86)) % 1.11/1.34 (define @t323 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t128)) % 1.11/1.34 (define @t324 () (=> (= @t91 @t323) @t157)) % 1.11/1.34 (define @t325 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t128 @t21)) % 1.11/1.34 (define @t326 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t20 @t21)) % 1.11/1.34 (define @t327 () (= @t198 @t197)) % 1.11/1.34 (define @t328 () (= @t200 (tptp.c_Groups_Ominus__class_Ominus @t22 @t198 @t197))) % 1.11/1.34 (define @t329 () (@list @t197 @t198 @t176 @t86 @t22)) % 1.11/1.34 (define @t330 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t75 @t21) @t21)) % 1.11/1.34 (define @t331 () (tptp.class_Groups_Omonoid__add @t22)) % 1.11/1.34 (define @t332 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t86 @t86)) % 1.11/1.34 (define @t333 () (tptp.class_Groups_Olinordered__ab__group__add @t22)) % 1.11/1.34 (define @t334 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t75) @t21)) % 1.11/1.34 (define @t335 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t128 @t20)) % 1.11/1.34 (define @t336 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t325 @t335)) % 1.11/1.34 (define @t337 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t22)) % 1.11/1.34 (define @t338 () (@list @t20 @t21 @t128 @t22)) % 1.11/1.34 (define @t339 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t323 @t315)) % 1.11/1.34 (define @t340 () (@list @t20 @t128 @t21 @t22)) % 1.11/1.34 (define @t341 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t20 @t126)) % 1.11/1.34 (define @t342 () (tptp.class_Groups_Oordered__ab__semigroup__add @t22)) % 1.11/1.34 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t86 @t176)) % 1.11/1.34 (define @t344 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t198 @t176)) % 1.11/1.34 (define @t345 () (@list @t176 @t86 @t198 @t22)) % 1.11/1.34 (define @t346 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t176 @t198)) % 1.11/1.34 (define @t347 () (@list @t176 @t198 @t86 @t22)) % 1.11/1.34 (define @t348 () (= @t200 @t75)) % 1.11/1.34 (define @t349 () (tptp.class_Groups_Ogroup__add @t22)) % 1.11/1.34 (define @t350 () (tptp.class_Groups_Oordered__ab__group__add @t22)) % 1.11/1.34 (define @t351 () (= (tptp.hAPP @t102 @t69) @t21)) % 1.11/1.34 (define @t352 () (tptp.class_Groups_Ocomm__monoid__mult @t22)) % 1.11/1.34 (define @t353 () (tptp.class_Groups_Omonoid__mult @t22)) % 1.11/1.34 (define @t354 () (= (tptp.hAPP (tptp.hAPP @t43 @t69) @t21) @t21)) % 1.11/1.34 (define @t355 () (tptp.class_Groups_Oordered__comm__monoid__add @t22)) % 1.11/1.34 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t20 @t323)) % 1.11/1.34 (define @t357 () (@var "V_m" $$unsorted)) % 1.11/1.34 (define @t358 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t69 @t69)) % 1.11/1.34 (define @t359 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t69)) % 1.11/1.34 (define @t360 () (tptp.hAPP (tptp.hAPP @t43 @t359) @t357)) % 1.11/1.34 (define @t361 () (tptp.hAPP @t102 @t357)) % 1.11/1.34 (define @t362 () (tptp.hAPP @t43 @t222)) % 1.11/1.34 (define @t363 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t22)) % 1.11/1.34 (define @t364 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.11/1.34 (define @t365 () (@list @t126 @t20 @t128 @t21 @t22)) % 1.11/1.34 (define @t366 () (@var "V_n" $$unsorted)) % 1.11/1.34 (define @t367 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.11/1.34 (define @t368 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t367)) % 1.11/1.34 (define @t369 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.11/1.34 (define @t370 () (tptp.hAPP @t369 @t357)) % 1.11/1.34 (define @t371 () (tptp.hAPP @t370 @t366)) % 1.11/1.34 (define @t372 () (= @t357 @t364)) % 1.11/1.34 (define @t373 () (not @t372)) % 1.11/1.34 (define @t374 () (@list @t366 @t357)) % 1.11/1.34 (define @t375 () (@var "V_ry" $$unsorted)) % 1.11/1.34 (define @t376 () (@var "V_lx" $$unsorted)) % 1.11/1.34 (define @t377 () (tptp.hAPP @t43 @t376)) % 1.11/1.34 (define @t378 () (@var "V_rx" $$unsorted)) % 1.11/1.34 (define @t379 () (tptp.hAPP @t43 @t378)) % 1.11/1.34 (define @t380 () (tptp.hAPP @t379 @t375)) % 1.11/1.34 (define @t381 () (tptp.hAPP @t377 @t380)) % 1.11/1.34 (define @t382 () (@list @t375 @t378 @t376 @t22)) % 1.11/1.34 (define @t383 () (tptp.hAPP @t43 (tptp.hAPP @t377 @t378))) % 1.11/1.34 (define @t384 () (@var "V_ly" $$unsorted)) % 1.11/1.34 (define @t385 () (tptp.hAPP @t43 @t384)) % 1.11/1.34 (define @t386 () (tptp.hAPP @t43 (tptp.hAPP @t377 @t384))) % 1.11/1.34 (define @t387 () (tptp.hAPP @t386 @t378)) % 1.11/1.34 (define @t388 () (@list @t378 @t384 @t376 @t22)) % 1.11/1.34 (define @t389 () (tptp.hAPP @t386 @t380)) % 1.11/1.34 (define @t390 () (@list @t375 @t378 @t384 @t376 @t22)) % 1.11/1.34 (define @t391 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t130)) % 1.11/1.34 (define @t392 () (@list @t126 @t128 @t21 @t22)) % 1.11/1.34 (define @t393 () (= @t323 @t325)) % 1.11/1.34 (define @t394 () (forall (@list @t128 @t21 @t22) (=> @t71 @t393))) % 1.11/1.34 (define @t395 () (tptp.hAPP @t202 @t198)) % 1.11/1.34 (define @t396 () (tptp.hAPP @t204 @t198)) % 1.11/1.34 (define @t397 () (@var "V_za_2" $$unsorted)) % 1.11/1.34 (define @t398 () (@var "V_w_2" $$unsorted)) % 1.11/1.34 (define @t399 () (tptp.hAPP @t43 @t398)) % 1.11/1.34 (define @t400 () (@list @t366)) % 1.11/1.34 (define @t401 () (tptp.c_Polynomial_Opoly__rec @t22 @t145 @t397 @t2 @t84)) % 1.11/1.34 (define @t402 () (tptp.hAPP (tptp.hAPP @t2 @t86) @t84)) % 1.11/1.34 (define @t403 () (tptp.c_Polynomial_Opoly__rec @t22 @t145 @t397 @t2 (tptp.c_Polynomial_OpCons @t145 @t86 @t84))) % 1.11/1.34 (define @t404 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t145))) % 1.11/1.34 (define @t405 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t145)) @t404) @t397) @t397)) % 1.11/1.34 (define @t406 () (tptp.class_Groups_Ozero @t145)) % 1.11/1.34 (define @t407 () (@var "B_K" $$unsorted)) % 1.11/1.34 (define @t408 () (@var "B_b" $$unsorted)) % 1.11/1.34 (define @t409 () (@var "B_a" $$unsorted)) % 1.11/1.34 (define @t410 () (forall (@list @t409 @t408) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 (tptp.hAPP (tptp.hAPP @t43 @t409) @t408)) (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP (tptp.hAPP @t41 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t409)) (tptp.c_RealVector_Onorm__class_Onorm @t22 @t408))) @t407)))) % 1.11/1.34 (define @t411 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t407)) % 1.11/1.34 (define @t412 () (@list @t407)) % 1.11/1.34 (define @t413 () (tptp.hAPP (tptp.hAPP @t41 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t3)) @t407)) % 1.11/1.34 (define @t414 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 (tptp.hAPP @t44 @t3)) @t413))) % 1.11/1.34 (define @t415 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 (tptp.hAPP (tptp.hAPP @t43 @t3) @t37)) @t413))) % 1.11/1.34 (define @t416 () (tptp.hAPP @t370 @t357)) % 1.11/1.34 (define @t417 () (@list @t357)) % 1.11/1.34 (define @t418 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t366)) % 1.11/1.34 (define @t419 () (@list @t357 @t366)) % 1.11/1.34 (define @t420 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t366 @t357)) % 1.11/1.34 (define @t421 () (@var "V_n_2" $$unsorted)) % 1.11/1.34 (define @t422 () (@var "V_m_2" $$unsorted)) % 1.11/1.34 (define @t423 () (and (= @t422 @t367) (= @t421 @t367))) % 1.11/1.34 (define @t424 () (tptp.hAPP @t369 @t422)) % 1.11/1.34 (define @t425 () (tptp.hAPP @t424 @t421)) % 1.11/1.34 (define @t426 () (@list @t421 @t422)) % 1.11/1.34 (define @t427 () (tptp.hAPP @t369 @t366)) % 1.11/1.34 (define @t428 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t366)) % 1.11/1.34 (define @t429 () (@var "B_n" $$unsorted)) % 1.11/1.34 (define @t430 () (@var "V_k_2" $$unsorted)) % 1.11/1.34 (define @t431 () (@var "V_l_2" $$unsorted)) % 1.11/1.34 (define @t432 () (@list @t429)) % 1.11/1.34 (define @t433 () (@list @t431 @t430)) % 1.11/1.34 (define @t434 () (@var "B_k" $$unsorted)) % 1.11/1.34 (define @t435 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t422 @t434)) % 1.11/1.34 (define @t436 () (@list @t434)) % 1.11/1.34 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t422 @t421)) % 1.11/1.34 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t357)) % 1.11/1.34 (define @t439 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t357 @t366)) % 1.11/1.34 (define @t440 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t250)) % 1.11/1.34 (define @t441 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t250)) % 1.11/1.34 (define @t442 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t252)) % 1.11/1.34 (define @t443 () (@list @t251 @t252 @t250)) % 1.11/1.34 (define @t444 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t122)) % 1.11/1.34 (define @t445 () (tptp.hAPP @t369 @t250)) % 1.11/1.34 (define @t446 () (tptp.hAPP @t445 @t366)) % 1.11/1.34 (define @t447 () (tptp.hAPP @t445 @t357)) % 1.11/1.34 (define @t448 () (@list @t366 @t357 @t250)) % 1.11/1.34 (define @t449 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t366 @t250)) % 1.11/1.34 (define @t450 () (@list @t250 @t366 @t357)) % 1.11/1.34 (define @t451 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t252 @t250)) % 1.11/1.34 (define @t452 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t252)) % 1.11/1.34 (define @t453 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t452 @t250)) % 1.11/1.34 (define @t454 () (@var "V_i_2" $$unsorted)) % 1.11/1.34 (define @t455 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t430)) % 1.11/1.34 (define @t456 () (@var "V_j_2" $$unsorted)) % 1.11/1.34 (define @t457 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t456 @t430)) % 1.11/1.34 (define @t458 () (tptp.hAPP @t427 @t250)) % 1.11/1.34 (define @t459 () (tptp.hAPP @t370 @t250)) % 1.11/1.34 (define @t460 () (= @t422 @t421)) % 1.11/1.34 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t421)) % 1.11/1.34 (define @t462 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t422)) % 1.11/1.34 (define @t463 () (@list @t421 @t422 @t430)) % 1.11/1.34 (define @t464 () (@list @t421 @t430 @t422)) % 1.11/1.34 (define @t465 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t250 @t366)) % 1.11/1.34 (define @t466 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t250 @t357)) % 1.11/1.34 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t250)) % 1.11/1.34 (define @t468 () (@list @t366 @t250 @t357)) % 1.11/1.34 (define @t469 () (= @t357 @t366)) % 1.11/1.34 (define @t470 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t252 @t357)) % 1.11/1.34 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t252)) % 1.11/1.34 (define @t472 () (@list @t357 @t252 @t251)) % 1.11/1.34 (define @t473 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t252)) % 1.11/1.34 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t366)) % 1.11/1.34 (define @t475 () (@list @t357 @t366 @t250)) % 1.11/1.34 (define @t476 () (tptp.hAPP @t369 @t252)) % 1.11/1.34 (define @t477 () (tptp.hAPP @t476 @t250)) % 1.11/1.34 (define @t478 () (tptp.hAPP @t369 @t251)) % 1.11/1.34 (define @t479 () (tptp.hAPP @t478 @t250)) % 1.11/1.34 (define @t480 () (tptp.hAPP @t445 @t252)) % 1.11/1.34 (define @t481 () (tptp.hAPP @t445 @t251)) % 1.11/1.34 (define @t482 () (@var "V_l" $$unsorted)) % 1.11/1.34 (define @t483 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t482 @t357)) % 1.11/1.34 (define @t484 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t482 @t366)) % 1.11/1.34 (define @t485 () (@list @t482 @t366 @t357)) % 1.11/1.34 (define @t486 () (@list @t366 @t251)) % 1.11/1.34 (define @t487 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t366 @t428) @t357)) % 1.11/1.34 (define @t488 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t252)) % 1.11/1.34 (define @t489 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t488 @t250)) % 1.11/1.34 (define @t490 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t441)) % 1.11/1.34 (define @t491 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t456 @t454)) % 1.11/1.34 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 @t456)) % 1.11/1.34 (define @t493 () (@list @t430 @t456 @t454)) % 1.11/1.34 (define @t494 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t252 @t251)) % 1.11/1.34 (define @t495 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t494 @t250)) % 1.11/1.34 (define @t496 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t441 @t251)) % 1.11/1.34 (define @t497 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t252 @t482)) % 1.11/1.34 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t482)) % 1.11/1.34 (define @t499 () (@list @t482 @t250 @t252 @t251)) % 1.11/1.34 (define @t500 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t421 @t430)) % 1.11/1.34 (define @t501 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t422 @t430)) % 1.11/1.34 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t421)) % 1.11/1.34 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t422)) % 1.11/1.34 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t467 @t366)) % 1.11/1.34 (define @t505 () (tptp.hAPP @t427 @t357)) % 1.11/1.34 (define @t506 () (= @t421 @t364)) % 1.11/1.34 (define @t507 () (@list @t421)) % 1.11/1.34 (define @t508 () (= @t422 @t364)) % 1.11/1.34 (define @t509 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t422 @t421)) % 1.11/1.34 (define @t510 () (= @t430 @t364)) % 1.11/1.34 (define @t511 () (or @t460 @t510)) % 1.11/1.34 (define @t512 () (tptp.hAPP @t369 @t430)) % 1.11/1.34 (define @t513 () (tptp.hAPP @t512 @t421)) % 1.11/1.34 (define @t514 () (tptp.hAPP @t512 @t422)) % 1.11/1.34 (define @t515 () (= @t514 @t513)) % 1.11/1.34 (define @t516 () (tptp.hAPP @t369 @t421)) % 1.11/1.34 (define @t517 () (tptp.hAPP @t516 @t430)) % 1.11/1.34 (define @t518 () (tptp.hAPP @t424 @t430)) % 1.11/1.34 (define @t519 () (= @t428 @t364)) % 1.11/1.34 (define @t520 () (= @t366 @t364)) % 1.11/1.34 (define @t521 () (@var "V_u_2" $$unsorted)) % 1.11/1.34 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t491) @t521) @t421)) % 1.11/1.34 (define @t523 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t456) @t521) @t421)) % 1.11/1.34 (define @t524 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t454) @t521) @t422)) % 1.11/1.34 (define @t525 () (= @t524 @t523)) % 1.11/1.34 (define @t526 () (@list @t421 @t422 @t521 @t456 @t454)) % 1.11/1.34 (define @t527 () (tptp.hAPP @t476 @t186)) % 1.11/1.34 (define @t528 () (tptp.hAPP @t478 @t186)) % 1.11/1.34 (define @t529 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t528 @t357) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t527 @t366))) % 1.11/1.34 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t524 @t523)) % 1.11/1.34 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t454 @t456)) @t521) @t422)) % 1.11/1.34 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 @t454)) % 1.11/1.34 (define @t533 () (@list @t421 @t422 @t521 @t454 @t456)) % 1.11/1.34 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t444)) % 1.11/1.34 (define @t535 () (@list @t37 @t122 @t39)) % 1.11/1.34 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t37)) % 1.11/1.34 (define @t537 () (tptp.c_RComplete_Onatceiling @t39)) % 1.11/1.34 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 @t32)) % 1.11/1.34 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t39)) % 1.11/1.34 (define @t540 () (@list @t39)) % 1.11/1.34 (define @t541 () (@list @t20 @t21)) % 1.11/1.34 (define @t542 () (tptp.c_RComplete_Onatfloor @t39)) % 1.11/1.34 (define @t543 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t544 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t545 () (@list @t37 @t39)) % 1.11/1.34 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t74)) % 1.11/1.34 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t80)) % 1.11/1.34 (define @t548 () (tptp.c_RComplete_Onatfloor @t80)) % 1.11/1.34 (define @t549 () (@list @t80)) % 1.11/1.34 (define @t550 () (tptp.c_RComplete_Onatceiling @t80)) % 1.11/1.34 (define @t551 () (tptp.c_RComplete_Onatfloor @t21)) % 1.11/1.34 (define @t552 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t21)) % 1.11/1.34 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 @t552)) % 1.11/1.34 (define @t554 () (@list @t21 @t39)) % 1.11/1.34 (define @t555 () (tptp.c_Groups_Osgn__class_Osgn @t22 @t39)) % 1.11/1.34 (define @t556 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t555)) % 1.11/1.34 (define @t557 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t366)) % 1.11/1.34 (define @t558 () (@list @t366 @t39)) % 1.11/1.34 (define @t559 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t86)) % 1.11/1.34 (define @t560 () (tptp.c_Groups_Osgn__class_Osgn @t22 @t86)) % 1.11/1.34 (define @t561 () (tptp.c_Groups_Osgn__class_Osgn @t22 @t21)) % 1.11/1.34 (define @t562 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t21)) % 1.11/1.34 (define @t563 () (tptp.c_Orderings_Oord__class_Oless @t22 @t166 @t80)) % 1.11/1.34 (define @t564 () (tptp.c_Orderings_Oord__class_Oless @t22 @t80 @t166)) % 1.11/1.34 (define @t565 () (not @t167)) % 1.11/1.34 (define @t566 () (not @t564)) % 1.11/1.34 (define @t567 () (tptp.c_Orderings_Oord__class_Oless @t22 @t37 @t39)) % 1.11/1.34 (define @t568 () (tptp.c_Orderings_Oord__class_Oless @t22 @t39 @t37)) % 1.11/1.34 (define @t569 () (= @t566 @t167)) % 1.11/1.34 (define @t570 () (not @t568)) % 1.11/1.34 (define @t571 () (not @t152)) % 1.11/1.34 (define @t572 () (=> @t571 (=> @t570 @t567))) % 1.11/1.34 (define @t573 () (tptp.c_Orderings_Oord__class_Oless @t22 @t20 @t21)) % 1.11/1.34 (define @t574 () (tptp.c_Orderings_Oord__class_Oless @t22 @t21 @t20)) % 1.11/1.34 (define @t575 () (@list @t21 @t20 @t22)) % 1.11/1.34 (define @t576 () (tptp.c_Orderings_Oord__class_Oless @t22 @t21 @t128)) % 1.11/1.34 (define @t577 () (tptp.c_Orderings_Oord__class_Oless @t22 @t20 @t128)) % 1.11/1.34 (define @t578 () (tptp.c_Orderings_Oord__class_Oless @t22 @t128 @t21)) % 1.11/1.34 (define @t579 () (tptp.c_Orderings_Oord__class_Oless @t22 @t39 @t122)) % 1.11/1.34 (define @t580 () (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t37 @t122) @t579)) % 1.11/1.34 (define @t581 () (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t39)) % 1.11/1.34 (define @t582 () (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t37) @t581)) % 1.11/1.34 (define @t583 () (= @t421 @t422)) % 1.11/1.34 (define @t584 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t422)) % 1.11/1.34 (define @t585 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t421)) % 1.11/1.34 (define @t586 () (@list @t422 @t421)) % 1.11/1.34 (define @t587 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t421 @t422)) % 1.11/1.34 (define @t588 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t421)) % 1.11/1.34 (define @t589 () (tptp.c_Orderings_Oord__class_Oless @t22 @t86 @t75)) % 1.11/1.34 (define @t590 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t39)) % 1.11/1.34 (define @t591 () (not @t164)) % 1.11/1.34 (define @t592 () (tptp.c_Orderings_Oord__class_Oless @t22 @t325 @t335)) % 1.11/1.34 (define @t593 () (tptp.c_Orderings_Oord__class_Oless @t22 @t323 @t315)) % 1.11/1.34 (define @t594 () (tptp.c_Orderings_Oord__class_Oless @t22 @t323 @t341)) % 1.11/1.34 (define @t595 () (tptp.c_Orderings_Oord__class_Oless @t22 @t128 @t126)) % 1.11/1.34 (define @t596 () (=> @t595 @t594)) % 1.11/1.34 (define @t597 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t22)) % 1.11/1.34 (define @t598 () (tptp.c_Orderings_Oord__class_Oless @t22 @t86 @t176)) % 1.11/1.34 (define @t599 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t39)) % 1.11/1.34 (define @t600 () (not @t506)) % 1.11/1.34 (define @t601 () (not @t520)) % 1.11/1.34 (define @t602 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t357 @t366)) % 1.11/1.34 (define @t603 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t366)) % 1.11/1.34 (define @t604 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t166)) % 1.11/1.34 (define @t605 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t482)) % 1.11/1.34 (define @t606 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t251 @t252)) % 1.11/1.34 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t422 @t421)) % 1.11/1.34 (define @t608 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t444)) % 1.11/1.34 (define @t609 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t37)) % 1.11/1.34 (define @t610 () (not @t469)) % 1.11/1.34 (define @t611 () (or @t607 @t460)) % 1.11/1.34 (define @t612 () (not @t460)) % 1.11/1.34 (define @t613 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t252 @t250)) % 1.11/1.34 (define @t614 () (= (tptp.c_Groups_Osgn__class_Osgn @t22 @t75) @t75)) % 1.11/1.34 (define @t615 () (tptp.hAPP @t43 @t555)) % 1.11/1.34 (define @t616 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t421 @t422)) % 1.11/1.34 (define @t617 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t542)) % 1.11/1.34 (define @t618 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t557 @t32)) % 1.11/1.34 (define @t619 () (@list @t39 @t366)) % 1.11/1.34 (define @t620 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t357)) % 1.11/1.34 (define @t621 () (tptp.c_Orderings_Oord__class_Oless @t22 @t296 @t295)) % 1.11/1.34 (define @t622 () (tptp.c_Orderings_Oord__class_Oless @t22 @t128 @t75)) % 1.11/1.34 (define @t623 () (tptp.c_Orderings_Oord__class_Oless @t22 @t275 @t274)) % 1.11/1.34 (define @t624 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t128)) % 1.11/1.34 (define @t625 () (=> @t574 (=> @t624 @t621))) % 1.11/1.34 (define @t626 () (tptp.class_Rings_Olinordered__semiring__strict @t22)) % 1.11/1.34 (define @t627 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t103)) % 1.11/1.34 (define @t628 () (tptp.c_Orderings_Oord__class_Oless @t22 @t20 @t75)) % 1.11/1.34 (define @t629 () (tptp.c_Orderings_Oord__class_Oless @t22 @t21 @t75)) % 1.11/1.34 (define @t630 () (tptp.c_Orderings_Oord__class_Oless @t22 @t103 @t75)) % 1.11/1.34 (define @t631 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t20)) % 1.11/1.34 (define @t632 () (tptp.c_Orderings_Oord__class_Oless @t22 @t176 @t86)) % 1.11/1.34 (define @t633 () (tptp.hAPP @t43 @t198)) % 1.11/1.34 (define @t634 () (tptp.hAPP @t633 @t176)) % 1.11/1.34 (define @t635 () (tptp.hAPP @t633 @t86)) % 1.11/1.34 (define @t636 () (tptp.c_Orderings_Oord__class_Oless @t22 @t635 @t634)) % 1.11/1.34 (define @t637 () (tptp.c_Orderings_Oord__class_Oless @t22 @t198 @t75)) % 1.11/1.34 (define @t638 () (=> @t562 @t631)) % 1.11/1.34 (define @t639 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t198)) % 1.11/1.34 (define @t640 () (or (and @t639 @t598) (and @t637 @t632))) % 1.11/1.34 (define @t641 () (tptp.c_Orderings_Oord__class_Oless @t22 @t20 @t323)) % 1.11/1.34 (define @t642 () (=> @t577 @t641)) % 1.11/1.34 (define @t643 () (tptp.c_Orderings_Oord__class_Oless @t22 @t91 @t75)) % 1.11/1.34 (define @t644 () (=> @t628 @t643)) % 1.11/1.34 (define @t645 () (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t91)) % 1.11/1.34 (define @t646 () (=> @t631 @t645)) % 1.11/1.34 (define @t647 () (= (tptp.c_Orderings_Oord__class_Oless @t22 @t332 @t75) @t589)) % 1.11/1.34 (define @t648 () (tptp.hAPP @t43 @t357)) % 1.11/1.34 (define @t649 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t422)) % 1.11/1.34 (define @t650 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t430)) % 1.11/1.34 (define @t651 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t514 @t513)) % 1.11/1.34 (define @t652 () (and @t650 @t607)) % 1.11/1.34 (define @t653 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t250)) % 1.11/1.34 (define @t654 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t357)) % 1.11/1.34 (define @t655 () (tptp.hAPP @t239 @t397)) % 1.11/1.34 (define @t656 () (tptp.hAPP @t240 @t397)) % 1.11/1.34 (define @t657 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t397)) % 1.11/1.34 (define @t658 () (@list @t166 @t80 @t397)) % 1.11/1.34 (define @t659 () (tptp.hAPP (tptp.hAPP @t41 @t39) @t37)) % 1.11/1.34 (define @t660 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t37)) % 1.11/1.34 (define @t661 () (not @t602)) % 1.11/1.34 (define @t662 () (@list @t128 @t20 @t21)) % 1.11/1.34 (define @t663 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t635 @t634)) % 1.11/1.34 (define @t664 () (tptp.c_Orderings_Oord__class_Oless @t22 @t275 @t300)) % 1.11/1.34 (define @t665 () (=> @t292 @t664)) % 1.11/1.34 (define @t666 () (=> @t292 @t574)) % 1.11/1.34 (define @t667 () (=> @t623 @t666)) % 1.11/1.34 (define @t668 () (tptp.class_Rings_Olinordered__semiring @t22)) % 1.11/1.34 (define @t669 () (=> @t621 @t666)) % 1.11/1.34 (define @t670 () (=> @t624 @t161)) % 1.11/1.34 (define @t671 () (not @t81)) % 1.11/1.34 (define @t672 () (tptp.c_Orderings_Oord__class_Oless @t22 @t205 @t203)) % 1.11/1.34 (define @t673 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t366 @t367)) % 1.11/1.34 (define @t674 () (@var "V_ra_2" $$unsorted)) % 1.11/1.34 (define @t675 () (@var "V_s" $$unsorted)) % 1.11/1.34 (define @t676 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t675)) % 1.11/1.34 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t222)) % 1.11/1.34 (define @t678 () (@list @t675 @t37 @t222 @t39 @t22)) % 1.11/1.34 (define @t679 () (tptp.hAPP @t41 @t397)) % 1.11/1.34 (define @t680 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t514 @t513)) % 1.11/1.34 (define @t681 () (=> @t650 @t437)) % 1.11/1.34 (define @t682 () (@var "B_d" $$unsorted)) % 1.11/1.34 (define @t683 () (@var "V_P_2" $$unsorted)) % 1.11/1.34 (define @t684 () (tptp.hBOOL (tptp.hAPP @t683 @t682))) % 1.11/1.34 (define @t685 () (= @t86 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t176 @t682))) % 1.11/1.34 (define @t686 () (@list @t682)) % 1.11/1.34 (define @t687 () (tptp.hBOOL (tptp.hAPP @t683 @t364))) % 1.11/1.34 (define @t688 () (not @t687)) % 1.11/1.34 (define @t689 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t86 @t176)) % 1.11/1.34 (define @t690 () (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t86 @t176)))) % 1.11/1.34 (define @t691 () (@list @t176 @t86 @t683)) % 1.11/1.34 (define @t692 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t86)) % 1.11/1.34 (define @t693 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t80)) % 1.11/1.34 (define @t694 () (@list @t86 @t80)) % 1.11/1.34 (define @t695 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t39 @t552)) % 1.11/1.34 (define @t696 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t552 @t39)) % 1.11/1.34 (define @t697 () (@list @t39 @t21)) % 1.11/1.34 (define @t698 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t524 @t523)) % 1.11/1.34 (define @t699 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t429)) % 1.11/1.34 (define @t700 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t222)) % 1.11/1.34 (define @t701 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t407)) % 1.11/1.34 (define @t702 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t357)) % 1.11/1.34 (define @t703 () (@var "V_t" $$unsorted)) % 1.11/1.34 (define @t704 () (tptp.hAPP @t683 @t421)) % 1.11/1.34 (define @t705 () (tptp.hBOOL (tptp.hAPP @t704 @t422))) % 1.11/1.34 (define @t706 () (tptp.c_Polynomial_Opos__poly @t22 @t51)) % 1.11/1.34 (define @t707 () (tptp.c_Polynomial_Opos__poly @t22 @t53)) % 1.11/1.34 (define @t708 () (@list @t51 @t53 @t22)) % 1.11/1.34 (define @t709 () (tptp.c_Polynomial_Opos__poly @t22 (tptp.c_Groups_Ominus__class_Ominus @t56 @t166 @t80))) % 1.11/1.34 (define @t710 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t53)) % 1.11/1.34 (define @t711 () (@var "B_w" $$unsorted)) % 1.11/1.34 (define @t712 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t711 @t122))) % 1.11/1.34 (define @t713 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t682)) % 1.11/1.34 (define @t714 () (@var "B_m" $$unsorted)) % 1.11/1.34 (define @t715 () (@list @t714)) % 1.11/1.34 (define @t716 () (@var "B_y" $$unsorted)) % 1.11/1.34 (define @t717 () (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 @t39 @t716)) @t682)) % 1.11/1.34 (define @t718 () (@list @t716)) % 1.11/1.34 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t20)) % 1.11/1.34 (define @t720 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t39)) % 1.11/1.34 (define @t721 () (@list @t20 @t39 @t21)) % 1.11/1.34 (define @t722 () (@var "B_i" $$unsorted)) % 1.11/1.34 (define @t723 () (tptp.hAPP @t683 @t722)) % 1.11/1.34 (define @t724 () (tptp.hBOOL @t723)) % 1.11/1.34 (define @t725 () (@list @t722)) % 1.11/1.34 (define @t726 () (tptp.hBOOL @t704)) % 1.11/1.34 (define @t727 () (@var "V_M_2" $$unsorted)) % 1.11/1.34 (define @t728 () (@var "V_X_2" $$unsorted)) % 1.11/1.34 (define @t729 () (tptp.hAPP @t728 @t727)) % 1.11/1.34 (define @t730 () (tptp.hAPP @t728 @t429)) % 1.11/1.34 (define @t731 () (tptp.c_RealVector_Onorm__class_Onorm @t145 @t730)) % 1.11/1.34 (define @t732 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t727 @t429)) % 1.11/1.34 (define @t733 () (tptp.class_RealVector_Oreal__normed__vector @t145)) % 1.11/1.34 (define @t734 () (tptp.hAPP @t41 @t699)) % 1.11/1.34 (define @t735 () (tptp.hAPP @t728 @t714)) % 1.11/1.34 (define @t736 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t714 @t429)) % 1.11/1.34 (define @t737 () (@list @t714 @t429)) % 1.11/1.34 (define @t738 () (@list @t728 @t22)) % 1.11/1.34 (define @t739 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.11/1.34 (define @t740 () (tptp.hAPP @t41 @t557)) % 1.11/1.34 (define @t741 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t730)) % 1.11/1.34 (define @t742 () (exists @t412 (and @t701 (forall @t432 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t741 @t407))))) % 1.11/1.34 (define @t743 () (tptp.c_SEQ_OBseq @t22 @t728)) % 1.11/1.34 (define @t744 () (tptp.hAPP (tptp.hAPP @t739 @t40) @t366)) % 1.11/1.34 (define @t745 () (tptp.c_Power_Opower__class_Opower @t22)) % 1.11/1.34 (define @t746 () (tptp.hAPP @t745 @t39)) % 1.11/1.34 (define @t747 () (tptp.hAPP @t746 @t366)) % 1.11/1.34 (define @t748 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t747)) % 1.11/1.34 (define @t749 () (@list @t366 @t39 @t22)) % 1.11/1.34 (define @t750 () (tptp.hAPP @t745 @t37)) % 1.11/1.34 (define @t751 () (tptp.hAPP @t746 @t51)) % 1.11/1.34 (define @t752 () (tptp.hAPP @t43 @t751)) % 1.11/1.34 (define @t753 () (tptp.hAPP @t369 @t53)) % 1.11/1.34 (define @t754 () (tptp.hAPP @t746 @t53)) % 1.11/1.34 (define @t755 () (@list @t51 @t53 @t39 @t22)) % 1.11/1.34 (define @t756 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t367)) % 1.11/1.34 (define @t757 () (tptp.hAPP @t745 @t357)) % 1.11/1.34 (define @t758 () (tptp.hAPP @t757 @t366)) % 1.11/1.34 (define @t759 () (tptp.class_Power_Opower @t22)) % 1.11/1.34 (define @t760 () (tptp.hAPP @t745 @t20)) % 1.11/1.34 (define @t761 () (tptp.hAPP @t760 @t366)) % 1.11/1.34 (define @t762 () (tptp.hAPP @t745 @t21)) % 1.11/1.34 (define @t763 () (tptp.hAPP @t762 @t366)) % 1.11/1.34 (define @t764 () (tptp.c_Orderings_Oord__class_Oless @t22 @t763 @t761)) % 1.11/1.34 (define @t765 () (@list @t366 @t20 @t21 @t22)) % 1.11/1.34 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t21)) % 1.11/1.34 (define @t767 () (@list @t366 @t21 @t22)) % 1.11/1.34 (define @t768 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t80)) % 1.11/1.34 (define @t769 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.11/1.34 (define @t770 () (tptp.hAPP @t769 @t80)) % 1.11/1.34 (define @t771 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 (tptp.hAPP @t770 @t421))) % 1.11/1.34 (define @t772 () (@list @t421 @t80)) % 1.11/1.34 (define @t773 () (tptp.hAPP @t769 @t251)) % 1.11/1.34 (define @t774 () (tptp.hAPP @t773 @t366)) % 1.11/1.34 (define @t775 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.11/1.34 (define @t776 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.11/1.34 (define @t777 () (tptp.hAPP @t776 @t39)) % 1.11/1.34 (define @t778 () (tptp.hAPP @t777 @t37)) % 1.11/1.34 (define @t779 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.11/1.34 (define @t780 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t769 @t357) @t366))) % 1.11/1.34 (define @t781 () (tptp.hAPP (tptp.hAPP @t739 @t620) @t366)) % 1.11/1.34 (define @t782 () (tptp.hAPP (tptp.hAPP @t739 @t39) @t366)) % 1.11/1.34 (define @t783 () (tptp.hAPP @t769 @t53)) % 1.11/1.34 (define @t784 () (tptp.hAPP @t783 @t357)) % 1.11/1.34 (define @t785 () (tptp.hAPP @t102 @t763)) % 1.11/1.34 (define @t786 () (tptp.hAPP @t43 @t763)) % 1.11/1.34 (define @t787 () (tptp.hAPP @t786 @t21)) % 1.11/1.34 (define @t788 () (@list @t366 @t22)) % 1.11/1.34 (define @t789 () (tptp.hAPP @t762 @t357)) % 1.11/1.34 (define @t790 () (@list @t366 @t357 @t21 @t22)) % 1.11/1.34 (define @t791 () (tptp.hAPP (tptp.hAPP @t745 @t226) @t366)) % 1.11/1.34 (define @t792 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t69 @t21)) % 1.11/1.34 (define @t793 () (tptp.hAPP @t745 @t86)) % 1.11/1.34 (define @t794 () (tptp.hAPP @t793 @t421)) % 1.11/1.34 (define @t795 () (@list @t20 @t366 @t21 @t22)) % 1.11/1.34 (define @t796 () (tptp.hAPP @t745 @t75)) % 1.11/1.34 (define @t797 () (tptp.hAPP @t796 @t366)) % 1.11/1.34 (define @t798 () (and @t759 (tptp.class_Rings_Osemiring__0 @t22))) % 1.11/1.34 (define @t799 () (tptp.hAPP @t745 @t176)) % 1.11/1.34 (define @t800 () (tptp.hAPP @t799 @t166)) % 1.11/1.34 (define @t801 () (tptp.hAPP @t799 @t80)) % 1.11/1.34 (define @t802 () (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t176)) % 1.11/1.34 (define @t803 () (@list @t166 @t80 @t176 @t22)) % 1.11/1.34 (define @t804 () (@var "V_N" $$unsorted)) % 1.11/1.34 (define @t805 () (tptp.hAPP @t762 @t804)) % 1.11/1.34 (define @t806 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t804)) % 1.11/1.34 (define @t807 () (@list @t21 @t804 @t366 @t22)) % 1.11/1.34 (define @t808 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t804)) % 1.11/1.34 (define @t809 () (tptp.c_Orderings_Oord__class_Oless @t22 @t21 @t69)) % 1.11/1.34 (define @t810 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t811 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.11/1.34 (define @t812 () (@list @t397)) % 1.11/1.34 (define @t813 () (tptp.hAPP @t779 @t250)) % 1.11/1.34 (define @t814 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t250)) % 1.11/1.34 (define @t815 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t251 @t252)) % 1.11/1.34 (define @t816 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t811 @t122)) % 1.11/1.34 (define @t817 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t398 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t397 @t811))) % 1.11/1.34 (define @t818 () (@list @t397 @t398)) % 1.11/1.34 (define @t819 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t398 @t397)) % 1.11/1.34 (define @t820 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t122)) % 1.11/1.34 (define @t821 () (@var "V_z_H" $$unsorted)) % 1.11/1.34 (define @t822 () (@var "V_w_H" $$unsorted)) % 1.11/1.34 (define @t823 () (tptp.hAPP @t779 @t122)) % 1.11/1.34 (define @t824 () (tptp.hAPP @t779 @t124)) % 1.11/1.34 (define @t825 () (tptp.hAPP @t779 @t256)) % 1.11/1.34 (define @t826 () (tptp.hAPP @t779 @t258)) % 1.11/1.34 (define @t827 () (tptp.hAPP @t825 @t124)) % 1.11/1.34 (define @t828 () (tptp.hAPP @t826 @t124)) % 1.11/1.34 (define @t829 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t258 @t256)) % 1.11/1.34 (define @t830 () (tptp.hAPP @t824 @t256)) % 1.11/1.34 (define @t831 () (tptp.hAPP @t824 @t258)) % 1.11/1.34 (define @t832 () (@list @t256 @t258 @t124)) % 1.11/1.34 (define @t833 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t258 @t256)) % 1.11/1.34 (define @t834 () (@var "V_one_2" $$unsorted)) % 1.11/1.34 (define @t835 () (@var "V_times_2" $$unsorted)) % 1.11/1.34 (define @t836 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t22 @t834 @t835) @t86)) % 1.11/1.34 (define @t837 () (tptp.hAPP (tptp.hAPP @t779 (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 @t39 @t122)) @t811)) @t126)) % 1.11/1.34 (define @t838 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t126)) % 1.11/1.34 (define @t839 () (@var "V_q_H" $$unsorted)) % 1.11/1.34 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t51)) % 1.11/1.34 (define @t841 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t110 @t20)) % 1.11/1.34 (define @t842 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t110)) % 1.11/1.34 (define @t843 () (@var "V_r_H" $$unsorted)) % 1.11/1.34 (define @t844 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t843)) % 1.11/1.34 (define @t845 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t222 @t20)) % 1.11/1.34 (define @t846 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t779 @t110) @t839) @t843)) % 1.11/1.34 (define @t847 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t846 @t775)) % 1.11/1.34 (define @t848 () (tptp.hAPP @t779 @t20)) % 1.11/1.34 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t51) @t222)) % 1.11/1.34 (define @t850 () (= @t849 @t846)) % 1.11/1.34 (define @t851 () (@list @t843 @t839 @t110 @t222 @t51 @t20)) % 1.11/1.34 (define @t852 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t122)) % 1.11/1.34 (define @t853 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t122 @t124)) % 1.11/1.34 (define @t854 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t251 @t252)) % 1.11/1.34 (define @t855 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t222)) % 1.11/1.34 (define @t856 () (tptp.hAPP @t779 @t21)) % 1.11/1.34 (define @t857 () (= @t21 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t222 (tptp.hAPP @t856 @t51)))) % 1.11/1.34 (define @t858 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t21)) % 1.11/1.34 (define @t859 () (@list @t51 @t222 @t21)) % 1.11/1.34 (define @t860 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t843 @t110)) % 1.11/1.34 (define @t861 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t846)) % 1.11/1.34 (define @t862 () (@list @t843 @t839 @t110)) % 1.11/1.34 (define @t863 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t839) @t843) @t849)) % 1.11/1.34 (define @t864 () (@list @t222 @t51 @t843 @t839 @t20)) % 1.11/1.34 (define @t865 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t839)) % 1.11/1.34 (define @t866 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t222)) % 1.11/1.34 (define @t867 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t222 @t775)) % 1.11/1.34 (define @t868 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t39)) % 1.11/1.34 (define @t869 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t37)) % 1.11/1.34 (define @t870 () (tptp.c_Nat__Transfer_Otsub @t39 @t37)) % 1.11/1.34 (define @t871 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t39)) % 1.11/1.34 (define @t872 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t39 @t37)) % 1.11/1.34 (define @t873 () (=> @t871 (= @t870 @t872))) % 1.11/1.34 (define @t874 () (@list @t39 @t37)) % 1.11/1.34 (define @t875 () (tptp.hAPP @t740 @t21)) % 1.11/1.34 (define @t876 () (tptp.c_Complex_Orcis @t222 @t21)) % 1.11/1.34 (define @t877 () (@list @t21)) % 1.11/1.34 (define @t878 () (@var "V_r2" $$unsorted)) % 1.11/1.34 (define @t879 () (@var "V_r1" $$unsorted)) % 1.11/1.34 (define @t880 () (@var "V_K_2" $$unsorted)) % 1.11/1.34 (define @t881 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t741 @t880)) % 1.11/1.34 (define @t882 () (tptp.hAPP @t779 @t430)) % 1.11/1.34 (define @t883 () (tptp.hAPP @t882 @t197)) % 1.11/1.34 (define @t884 () (tptp.hBOOL (tptp.hAPP @t683 @t3))) % 1.11/1.34 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t430)) % 1.11/1.34 (define @t886 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t197)) % 1.11/1.34 (define @t887 () (@list @t430 @t683 @t197)) % 1.11/1.34 (define @t888 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t21)) % 1.11/1.34 (define @t889 () (@list @t21 @t366)) % 1.11/1.34 (define @t890 () (tptp.c_Transcendental_Oln @t39)) % 1.11/1.34 (define @t891 () (tptp.c_Transcendental_Oln @t166)) % 1.11/1.34 (define @t892 () (tptp.c_Transcendental_Oln @t80)) % 1.11/1.34 (define @t893 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t166)) % 1.11/1.34 (define @t894 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t80)) % 1.11/1.34 (define @t895 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t890)) % 1.11/1.34 (define @t896 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t39)) % 1.11/1.34 (define @t897 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t39)) % 1.11/1.34 (define @t898 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t890)) % 1.11/1.34 (define @t899 () (tptp.hAPP @t2 @t722)) % 1.11/1.34 (define @t900 () (@var "V_N_2" $$unsorted)) % 1.11/1.34 (define @t901 () (@var "B_N" $$unsorted)) % 1.11/1.34 (define @t902 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t901))) % 1.11/1.34 (define @t903 () (@list @t901)) % 1.11/1.34 (define @t904 () (exists @t412 (and @t701 (forall @t432 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t731 @t407))))) % 1.11/1.34 (define @t905 () (@list @t728 @t145)) % 1.11/1.34 (define @t906 () (tptp.c_Nat_OSuc @t366)) % 1.11/1.34 (define @t907 () (tptp.c_Nat_OSuc @t357)) % 1.11/1.34 (define @t908 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t907 @t906)) % 1.11/1.34 (define @t909 () (tptp.c_Nat_OSuc @t364)) % 1.11/1.34 (define @t910 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t907 @t366)) % 1.11/1.34 (define @t911 () (tptp.c_Nat_OSuc @t421)) % 1.11/1.34 (define @t912 () (tptp.c_Nat_OSuc @t422)) % 1.11/1.34 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t421 @t912)) % 1.11/1.34 (define @t914 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t422 @t911)) % 1.11/1.34 (define @t915 () (= @t913 @t583)) % 1.11/1.34 (define @t916 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t357 @t906)) % 1.11/1.34 (define @t917 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t907 @t366)) % 1.11/1.34 (define @t918 () (tptp.c_Nat_OSuc @t251)) % 1.11/1.34 (define @t919 () (tptp.hAPP @t369 (tptp.c_Nat_OSuc @t430))) % 1.11/1.34 (define @t920 () (tptp.hAPP @t919 @t421)) % 1.11/1.34 (define @t921 () (tptp.hAPP @t919 @t422)) % 1.11/1.34 (define @t922 () (@var "V_nat_H" $$unsorted)) % 1.11/1.34 (define @t923 () (@var "V_nat_H_1" $$unsorted)) % 1.11/1.34 (define @t924 () (@var "V_nat_H_2" $$unsorted)) % 1.11/1.34 (define @t925 () (@var "V_nat_2" $$unsorted)) % 1.11/1.34 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t907 @t366)) % 1.11/1.34 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t911 @t422)) % 1.11/1.34 (define @t928 () (@list @t357 @t251)) % 1.11/1.34 (define @t929 () (= @t421 @t909)) % 1.11/1.34 (define @t930 () (= @t422 @t909)) % 1.11/1.34 (define @t931 () (or (and @t930 @t506) (and @t508 @t929))) % 1.11/1.34 (define @t932 () (tptp.c_Nat_OSuc @t909)) % 1.11/1.34 (define @t933 () (@var "B_j" $$unsorted)) % 1.11/1.34 (define @t934 () (@list @t933)) % 1.11/1.34 (define @t935 () (tptp.hAPP @t746 (tptp.c_Nat_OSuc @t51))) % 1.11/1.34 (define @t936 () (@list @t51 @t39 @t22)) % 1.11/1.34 (define @t937 () (tptp.hAPP @t44 @t751)) % 1.11/1.34 (define @t938 () (tptp.hAPP @t762 @t906)) % 1.11/1.34 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t357 @t906)) % 1.11/1.34 (define @t940 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t906)) % 1.11/1.34 (define @t941 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t907 @t366)) % 1.11/1.34 (define @t942 () (tptp.c_Nat_OSuc @t418)) % 1.11/1.34 (define @t943 () (tptp.hAPP @t760 @t906)) % 1.11/1.34 (define @t944 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t909 @t357)) % 1.11/1.34 (define @t945 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t909 @t366)) % 1.11/1.34 (define @t946 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t906)) % 1.11/1.34 (define @t947 () (tptp.c_Nat_OSuc @t252)) % 1.11/1.34 (define @t948 () (tptp.c_Nat_OSuc @t441)) % 1.11/1.34 (define @t949 () (@list @t357 @t252 @t250)) % 1.11/1.34 (define @t950 () (tptp.c_Nat_OSuc @t756)) % 1.11/1.34 (define @t951 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t429))) % 1.11/1.34 (define @t952 () (tptp.hAPP @t776 @t250)) % 1.11/1.34 (define @t953 () (@list @t250 @t357)) % 1.11/1.34 (define @t954 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t86 @t176)) % 1.11/1.34 (define @t955 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t954 @t775)) % 1.11/1.34 (define @t956 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t176)) % 1.11/1.34 (define @t957 () (@list @t86 @t176)) % 1.11/1.34 (define @t958 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t176 @t775)) % 1.11/1.34 (define @t959 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t20)) % 1.11/1.34 (define @t960 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t20)) % 1.11/1.34 (define @t961 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t775)) % 1.11/1.34 (define @t962 () (@list @t20)) % 1.11/1.34 (define @t963 () (tptp.class_Divides_Osemiring__div @t22)) % 1.11/1.34 (define @t964 () (tptp.c_Divides_Odiv__class_Odiv @t22 @t21 @t20)) % 1.11/1.34 (define @t965 () (tptp.c_Divides_Odiv__class_Odiv @t22 @t296 @t295)) % 1.11/1.34 (define @t966 () (= @t128 @t75)) % 1.11/1.34 (define @t967 () (not @t966)) % 1.11/1.34 (define @t968 () (=> @t967 (= @t965 @t964))) % 1.11/1.34 (define @t969 () (= @t430 @t775)) % 1.11/1.34 (define @t970 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t454 @t430)) % 1.11/1.34 (define @t971 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t86)) % 1.11/1.34 (define @t972 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t954)) % 1.11/1.34 (define @t973 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t430)) % 1.11/1.34 (define @t974 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t110)) % 1.11/1.34 (define @t975 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t21)) % 1.11/1.34 (define @t976 () (@list @t20 @t110 @t21)) % 1.11/1.34 (define @t977 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t959 @t775)) % 1.11/1.34 (define @t978 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t775)) % 1.11/1.34 (define @t979 () (= @t959 @t775)) % 1.11/1.34 (define @t980 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t20)) % 1.11/1.34 (define @t981 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t21 @t775)) % 1.11/1.34 (define @t982 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t21)) % 1.11/1.34 (define @t983 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t99 @t20)) % 1.11/1.34 (define @t984 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t21 @t99)) % 1.11/1.34 (define @t985 () (@list @t20 @t99 @t21)) % 1.11/1.34 (define @t986 () (tptp.hAPP @t848 @t128)) % 1.11/1.34 (define @t987 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t128)) % 1.11/1.34 (define @t988 () (@list @t20 @t21 @t128)) % 1.11/1.34 (define @t989 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t128 @t964)) % 1.11/1.34 (define @t990 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t274)) % 1.11/1.34 (define @t991 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t295)) % 1.11/1.34 (define @t992 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t964 @t69)) % 1.11/1.34 (define @t993 () (= @t421 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t882 @t722) @t933))) % 1.11/1.34 (define @t994 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t430 @t933) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t933 @t775) @t993)) % 1.11/1.34 (define @t995 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t430 @t775)) % 1.11/1.34 (define @t996 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t933) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t933 @t430) @t993)) % 1.11/1.34 (define @t997 () (tptp.hAPP @t683 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t421 @t430))) % 1.11/1.34 (define @t998 () (@list @t430 @t421 @t683)) % 1.11/1.34 (define @t999 () (@var "V_b_1" $$unsorted)) % 1.11/1.34 (define @t1000 () (@var "V_a_1" $$unsorted)) % 1.11/1.34 (define @t1001 () (not (= @t999 @t775))) % 1.11/1.34 (define @t1002 () (@var "V_r_1" $$unsorted)) % 1.11/1.34 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t999)) % 1.11/1.34 (define @t1004 () (not @t1003)) % 1.11/1.34 (define @t1005 () (tptp.hAPP @t779 @t999)) % 1.11/1.34 (define @t1006 () (tptp.hBOOL (tptp.hAPP @t723 @t933))) % 1.11/1.34 (define @t1007 () (@list @t722 @t933)) % 1.11/1.34 (define @t1008 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t421 @t430)) % 1.11/1.34 (define @t1009 () (tptp.hBOOL (tptp.hAPP @t997 @t1008))) % 1.11/1.34 (define @t1010 () (@list @t421 @t683 @t430)) % 1.11/1.34 (define @t1011 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t357 @t366)) % 1.11/1.34 (define @t1012 () (=> @t602 (= @t1011 @t364))) % 1.11/1.34 (define @t1013 () (tptp.c_Divides_Odiv__class_Omod @t22 @t21 @t20)) % 1.11/1.34 (define @t1014 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t20)) % 1.11/1.34 (define @t1015 () (tptp.hAPP (tptp.hAPP @t43 @t964) @t20)) % 1.11/1.34 (define @t1016 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t273 @t964) @t1013)) % 1.11/1.34 (define @t1017 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t1015 @t1013)) % 1.11/1.34 (define @t1018 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t21 @t20)) % 1.11/1.34 (define @t1019 () (tptp.hAPP @t369 @t20)) % 1.11/1.34 (define @t1020 () (tptp.hAPP @t1019 @t128)) % 1.11/1.34 (define @t1021 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t20 @t128)) % 1.11/1.34 (define @t1022 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t20 @t128)) % 1.11/1.34 (define @t1023 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t20)) % 1.11/1.34 (define @t1024 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t447 @t446)) % 1.11/1.34 (define @t1025 () (= @t1024 @t1011)) % 1.11/1.34 (define @t1026 () (= @t250 @t364)) % 1.11/1.34 (define @t1027 () (tptp.c_Divides_Odiv__class_Odiv @t56 @t39 @t37)) % 1.11/1.34 (define @t1028 () (tptp.hAPP @t59 @t37)) % 1.11/1.34 (define @t1029 () (tptp.hAPP @t1028 @t122)) % 1.11/1.34 (define @t1030 () (tptp.class_Fields_Ofield @t22)) % 1.11/1.34 (define @t1031 () (tptp.c_Divides_Odiv__class_Omod @t22 @t20 @t128)) % 1.11/1.34 (define @t1032 () (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t1031) @t128)) % 1.11/1.34 (define @t1033 () (tptp.c_Divides_Odiv__class_Omod @t22 @t91 @t128)) % 1.11/1.34 (define @t1034 () (tptp.c_Divides_Odiv__class_Omod @t22 @t21 @t128)) % 1.11/1.34 (define @t1035 () (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t1034 @t20) @t128)) % 1.11/1.34 (define @t1036 () (= @t1031 (tptp.c_Divides_Odiv__class_Omod @t22 @t110 @t128))) % 1.11/1.34 (define @t1037 () (= @t1034 (tptp.c_Divides_Odiv__class_Omod @t22 @t99 @t128))) % 1.11/1.34 (define @t1038 () (@list @t110 @t20 @t99 @t128 @t21 @t22)) % 1.11/1.34 (define @t1039 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t872 @t357)) % 1.11/1.34 (define @t1040 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t39 @t357)) % 1.11/1.34 (define @t1041 () (@list @t37 @t357 @t39)) % 1.11/1.34 (define @t1042 () (tptp.c_Divides_Odiv__class_Omod @t22 @t23 @t128)) % 1.11/1.34 (define @t1043 () (tptp.class_Divides_Oring__div @t22)) % 1.11/1.34 (define @t1044 () (tptp.c_Divides_Odiv__class_Omod @t22 @t103 @t128)) % 1.11/1.34 (define @t1045 () (tptp.hAPP @t43 @t1034)) % 1.11/1.34 (define @t1046 () (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.hAPP @t1045 @t20) @t128)) % 1.11/1.34 (define @t1047 () (tptp.hAPP @t856 @t20)) % 1.11/1.34 (define @t1048 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1047 @t128)) % 1.11/1.34 (define @t1049 () (tptp.hAPP @t856 @t1021)) % 1.11/1.34 (define @t1050 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1049 @t128)) % 1.11/1.34 (define @t1051 () (@var "B_q" $$unsorted)) % 1.11/1.34 (define @t1052 () (@list @t1051)) % 1.11/1.34 (define @t1053 () (@list @t197 @t422)) % 1.11/1.34 (define @t1054 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t1014)) % 1.11/1.34 (define @t1055 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1014 @t20)) % 1.11/1.34 (define @t1056 () (= @t1014 @t21)) % 1.11/1.34 (define @t1057 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1014 @t775)) % 1.11/1.34 (define @t1058 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t1014)) % 1.11/1.34 (define @t1059 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t959) @t1014)) % 1.11/1.34 (define @t1060 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t250)) % 1.11/1.34 (define @t1061 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t357 @t366)) % 1.11/1.34 (define @t1062 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t357 @t366)) % 1.11/1.34 (define @t1063 () (= @t1011 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t428 @t366)))) % 1.11/1.34 (define @t1064 () (=> @t661 @t1063)) % 1.11/1.34 (define @t1065 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t422 @t421)) % 1.11/1.34 (define @t1066 () (tptp.hBOOL (tptp.hAPP @t683 @t933))) % 1.11/1.34 (define @t1067 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t51 @t128)) @t222)) % 1.11/1.34 (define @t1068 () (@list @t51 @t20 @t222 @t128)) % 1.11/1.34 (define @t1069 () (@list @t51 @t222 @t20 @t128)) % 1.11/1.34 (define @t1070 () (@var "V_q_1" $$unsorted)) % 1.11/1.34 (define @t1071 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t128)) % 1.11/1.34 (define @t1072 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t21 @t128)) % 1.11/1.34 (define @t1073 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t126)) % 1.11/1.34 (define @t1074 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t20 @t128)) % 1.11/1.34 (define @t1075 () (tptp.hAPP @t369 @t21)) % 1.11/1.34 (define @t1076 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t20 @t128)) % 1.11/1.34 (define @t1077 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t357 @t366)) % 1.11/1.34 (define @t1078 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t1077)) % 1.11/1.34 (define @t1079 () (tptp.hAPP (tptp.hAPP @t369 @t1011) @t366)) % 1.11/1.34 (define @t1080 () (@var "T_1" $$unsorted)) % 1.11/1.34 (define @t1081 () (tptp.tc_Polynomial_Opoly @t1080)) % 1.11/1.34 (define @t1082 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1080)) % 1.11/1.34 (define @t1083 () (@list @t1080)) % 1.11/1.34 (define @t1084 () (@var "T_2" $$unsorted)) % 1.11/1.34 (define @t1085 () (tptp.tc_fun @t1084 @t1080)) % 1.11/1.34 (define @t1086 () (@list @t1084 @t1080)) % 1.11/1.34 (define @t1087 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t1088 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t1089 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t1090 () (tptp.class_Rings_Oidom @t1080)) % 1.11/1.34 (define @t1091 () (tptp.class_Rings_Olinordered__idom @t1080)) % 1.11/1.34 (define @t1092 () (tptp.class_Rings_Ocomm__semiring__0 @t1080)) % 1.11/1.34 (define @t1093 () (tptp.class_Rings_Ocomm__semiring__1 @t1080)) % 1.11/1.34 (define @t1094 () (tptp.class_Groups_Ocomm__monoid__add @t1080)) % 1.11/1.34 (define @t1095 () (tptp.class_Fields_Ofield @t1080)) % 1.11/1.34 (define @t1096 () (tptp.class_Groups_Oab__group__add @t1080)) % 1.11/1.34 (define @t1097 () (tptp.class_Rings_Ocomm__ring__1 @t1080)) % 1.11/1.34 (define @t1098 () (tptp.class_Rings_Ocomm__ring @t1080)) % 1.11/1.34 (define @t1099 () (tptp.hBOOL (tptp.c_fequal @t80 @t166))) % 1.11/1.34 (define @t1100 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_aa____ @t9)) tptp.v_z____)) % 1.11/1.34 (define @t1101 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1100)) % 1.11/1.34 (define @t1102 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17 @t1101)) % 1.11/1.34 (define @t1103 () (@list tptp.v_aa____ @t15 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (define @t1104 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17 @t19)) % 1.11/1.34 (define @t1105 () (not @t1087)) % 1.11/1.34 (define @t1106 () (or @t1105 @t1104)) % 1.11/1.34 (define @t1107 () (@list false false)) % 1.11/1.34 (define @t1108 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_aa____ @t15)) % 1.11/1.34 (define @t1109 () (= @t18 @t1108)) % 1.11/1.34 (define @t1110 () (not @t1088)) % 1.11/1.34 (define @t1111 () (or @t1110 @t1109)) % 1.11/1.34 (define @t1112 () (= @t1100 @t1108)) % 1.11/1.34 (define @t1113 () (not @t1089)) % 1.11/1.34 (define @t1114 () (or @t1113 @t1112)) % 1.11/1.34 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.11/1.34 (assume @p2 @t8) % 1.11/1.34 (assume @p3 (not (= @t9 @t7))) % 1.11/1.34 (assume @p4 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_r____ @t10)) % 1.11/1.34 (assume @p5 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_da____ @t17)) % 1.11/1.34 (assume @p6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t19 @t11))) % 1.11/1.34 (assume @p7 (not (= tptp.v_p @t7))) % 1.11/1.34 (assume @p8 (forall @t29 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t27 @t24)))) % 1.11/1.34 (assume @p9 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 @t30)) % 1.11/1.34 (assume @p10 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t10)) % 1.11/1.34 (assume @p11 (forall @t36 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_r____ @t35) @t34))) % 1.11/1.34 (assume @p12 (forall @t48 (=> @t47 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t42)))) % 1.11/1.34 (assume @p13 (forall @t50 (=> @t49 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t39 @t39)))) % 1.11/1.34 (assume @p14 (forall @t58 (=> (tptp.class_Rings_Ocomm__ring @t22) (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t57) @t39) (tptp.c_Groups_Ominus__class_Ominus @t22 @t55 @t52))))) % 1.11/1.34 (assume @p15 (forall @t58 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t61) @t39) (tptp.hAPP (tptp.hAPP @t43 @t55) @t52))))) % 1.11/1.34 (assume @p16 (forall @t66 (=> @t65 (= (tptp.c_Groups_Ominus__class_Ominus @t56 @t64 @t63) (tptp.c_Polynomial_OpCons @t22 @t23 @t57))))) % 1.11/1.34 (assume @p17 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 (tptp.hAPP (tptp.hAPP @t41 @t10) @t30))) % 1.11/1.34 (assume @p18 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 (tptp.hAPP @t67 @t30))) % 1.11/1.34 (assume @p19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal tptp.v_r____)) @t10)) % 1.11/1.34 (assume @p20 (forall @t72 (=> @t71 (= @t70 (tptp.c_Polynomial_OpCons @t22 @t69 @t68))))) % 1.11/1.34 (assume @p21 (forall @t72 (=> @t73 (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t69) @t32)))) % 1.11/1.34 (assume @p22 (forall @t72 (=> @t28 (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t75) @t74)))) % 1.11/1.34 (assume @p23 (forall @t72 (=> @t76 (= (tptp.c_Polynomial_OpCons @t22 @t75 @t68) @t68)))) % 1.11/1.34 (assume @p24 (forall @t50 (=> @t71 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t70) @t39) @t69)))) % 1.11/1.34 (assume @p25 (forall @t50 (=> @t62 (= (tptp.hAPP @t77 @t39) @t75)))) % 1.11/1.34 (assume @p26 (forall @t78 (=> @t62 (= (tptp.hAPP (tptp.hAPP @t59 @t68) @t51) @t68)))) % 1.11/1.34 (assume @p27 (forall @t79 (=> @t62 (= (tptp.hAPP @t60 @t68) @t68)))) % 1.11/1.34 (assume @p28 (forall @t79 (=> @t65 (= (tptp.c_Groups_Ominus__class_Ominus @t56 @t53 @t68) @t53)))) % 1.11/1.34 (assume @p29 (forall @t83 (=> @t28 (= (= @t82 @t74) @t81)))) % 1.11/1.34 (assume @p30 (forall @t89 (=> @t76 (= (= @t88 @t68) (and @t87 @t85))))) % 1.11/1.34 (assume @p31 (forall @t58 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t90) @t39) (tptp.c_Groups_Oplus__class_Oplus @t22 @t55 @t52))))) % 1.11/1.34 (assume @p32 (forall @t66 (=> @t92 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t64 @t63) (tptp.c_Polynomial_OpCons @t22 @t91 @t90))))) % 1.11/1.34 (assume @p33 (forall @t98 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t43 @t97) @t93) (tptp.c_Groups_Oplus__class_Oplus @t22 @t96 @t95))))) % 1.11/1.34 (assume @p34 (forall @t104 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t43 (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t99)) @t20) (tptp.c_Groups_Oplus__class_Oplus @t22 @t103 @t101))))) % 1.11/1.34 (assume @p35 (forall @t109 (=> @t47 (= (tptp.hAPP @t106 @t97) (tptp.c_Groups_Oplus__class_Oplus @t22 @t108 @t107))))) % 1.11/1.34 (assume @p36 (forall @t112 (=> @t47 (= (tptp.hAPP @t102 (tptp.c_Groups_Oplus__class_Oplus @t22 @t20 @t110)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t103 @t111))))) % 1.11/1.34 (assume @p37 (forall @t50 (=> @t47 (= (tptp.hAPP @t44 @t75) @t75)))) % 1.11/1.34 (assume @p38 (forall @t114 (=> @t47 @t113))) % 1.11/1.34 (assume @p39 (forall @t116 (=> @t47 (= (tptp.hAPP @t115 @t37) @t75)))) % 1.11/1.34 (assume @p40 (forall (@list @t20 @t22) (=> @t47 (= (tptp.hAPP @t115 @t20) @t75)))) % 1.11/1.34 (assume @p41 (forall @t48 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t117 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t38))))) % 1.11/1.34 (assume @p42 (forall @t121 (=> @t120 (= (= @t118 @t77) @t85)))) % 1.11/1.34 (assume @p43 (forall @t83 (=> @t28 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t82 @t74) @t81)))) % 1.11/1.34 (assume @p44 (forall @t125 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t124) (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 @t124 @t122)) @t123)))) % 1.11/1.34 (assume @p45 (forall @t132 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 @t131) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 @t129) (tptp.c_RealVector_Onorm__class_Onorm @t22 @t127)))))) % 1.11/1.34 (assume @p46 (forall @t137 (=> @t47 (= @t136 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t134 @t133) @t135) (tptp.hAPP @t102 @t133)))))) % 1.11/1.34 (assume @p47 (forall @t29 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 @t25))))) % 1.11/1.34 (assume @p48 @t139) % 1.11/1.34 (assume @p49 @t141) % 1.11/1.34 (assume @p50 (forall @t48 (=> @t144 (=> (not @t143) @t142)))) % 1.11/1.34 (assume @p51 (forall (@list @t80 @t1 @t2 @t22 @t145) (=> @t148 (=> @t147 (tptp.c_Orderings_Oord__class_Oless__eq @t145 (tptp.hAPP @t2 @t80) (tptp.hAPP @t1 @t80)))))) % 1.11/1.34 (assume @p52 (forall @t151 (=> @t150 (=> @t142 (=> @t149 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t39)))))) % 1.11/1.34 (assume @p53 (forall @t153 (=> @t150 (=> @t142 (=> @t143 @t152))))) % 1.11/1.34 (assume @p54 (forall @t155 (=> @t49 (=> @t143 (=> @t154 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t39 @t122)))))) % 1.11/1.34 (assume @p55 (forall @t48 (=> @t150 (=> @t143 (=> @t142 @t152))))) % 1.11/1.34 (assume @p56 (forall @t159 (=> @t150 (=> @t158 (=> @t157 @t156))))) % 1.11/1.34 (assume @p57 (forall @t163 (=> @t162 (=> @t161 (=> @t157 @t160))))) % 1.11/1.34 (assume @p58 (forall @t163 (=> @t150 (=> @t164 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t128 @t20) @t156))))) % 1.11/1.34 (assume @p59 (forall @t163 (=> @t162 (=> @t164 (=> @t165 @t160))))) % 1.11/1.34 (assume @p60 (forall @t171 (=> @t150 (=> @t170 @t169)))) % 1.11/1.34 (assume @p61 (forall @t48 (=> @t49 (=> @t152 @t143)))) % 1.11/1.34 (assume @p62 (forall @t172 (=> @t150 (= @t167 (and @t168 @t170))))) % 1.11/1.34 (assume @p63 (forall @t48 (=> @t144 (or @t143 @t142)))) % 1.11/1.34 (assume @p64 (forall @t173 (=> @t148 (= @t147 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t145 @t5 @t4)))))) % 1.11/1.34 (assume @p65 (forall (@list @t174 @t176 @t84 @t86 @t22) (=> @t76 (= (= @t88 (tptp.c_Polynomial_OpCons @t22 @t176 @t174)) (and @t177 @t175))))) % 1.11/1.34 (assume @p66 (forall (@list @t174 @t84 @t22) (=> @t120 (= (= @t118 (tptp.c_Polynomial_Opoly @t22 @t174)) @t175)))) % 1.11/1.34 (assume @p67 (forall @t98 (=> @t47 (= (tptp.hAPP @t179 @t93) (tptp.c_Groups_Ominus__class_Ominus @t22 @t96 @t95))))) % 1.11/1.34 (assume @p68 (forall @t104 (=> @t47 (= (tptp.hAPP (tptp.hAPP @t43 (tptp.c_Groups_Ominus__class_Ominus @t22 @t21 @t99)) @t20) (tptp.c_Groups_Ominus__class_Ominus @t22 @t103 @t101))))) % 1.11/1.34 (assume @p69 (forall @t109 (=> @t47 (= (tptp.hAPP @t106 @t178) (tptp.c_Groups_Ominus__class_Ominus @t22 @t108 @t107))))) % 1.11/1.34 (assume @p70 (forall @t112 (=> @t47 (= (tptp.hAPP @t102 (tptp.c_Groups_Ominus__class_Ominus @t22 @t20 @t110)) (tptp.c_Groups_Ominus__class_Ominus @t22 @t103 @t111))))) % 1.11/1.34 (assume @p71 (forall @t48 (=> @t180 (= @t46 @t42)))) % 1.11/1.34 (assume @p72 (forall @t29 (=> @t28 (= @t24 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t181))))) % 1.11/1.34 (assume @p73 (forall (@list @t21 @t126) (=> @t8 (exists @t184 (forall @t36 (=> @t183 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t126 (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 @t21 tptp.v_cs____)) @t33))))))))) % 1.11/1.34 (assume @p74 (forall @t191 (=> (tptp.class_Rings_Olinordered__semiring__1 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t39 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t37 @t21) (=> @t190 (=> @t189 (=> @t188 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t187 @t21))))))))) % 1.11/1.34 (assume @p75 (forall @t192 (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 @t20 @t21)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t20)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t21)))) % 1.11/1.34 (assume @p76 (forall (@list @t37 @t39 @t128 @t22) (=> @t28 (=> @t195 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 (tptp.hAPP @t194 @t38)) @t193))))) % 1.11/1.34 (assume @p77 (not (forall @t184 (not (forall @t36 (=> @t183 @t34)))))) % 1.11/1.34 (assume @p78 (forall @t50 (=> (tptp.class_Rings_Oring__1 @t22) (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t196 @t69) (tptp.hAPP (tptp.hAPP @t43 (tptp.c_Groups_Oplus__class_Oplus @t22 @t39 @t69)) (tptp.c_Groups_Ominus__class_Ominus @t22 @t39 @t69)))))) % 1.11/1.34 (assume @p79 (forall @t208 (=> @t207 (= @t206 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t201 @t197))))) % 1.11/1.34 (assume @p80 (forall @t208 (=> @t207 (= @t206 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t198 @t209))))) % 1.11/1.34 (assume @p81 (forall @t48 (=> @t214 (=> @t213 (=> @t212 (=> @t211 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t210 @t39))))))) % 1.11/1.34 (assume @p82 (forall @t48 (=> @t214 (=> @t213 (=> @t212 (=> @t211 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t45 @t39))))))) % 1.11/1.34 (assume @p83 (forall @t172 (=> @t219 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t218 @t75) @t216)))) % 1.11/1.34 (assume @p84 (forall @t48 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t220)))) % 1.11/1.34 (assume @p85 (forall @t224 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t222) @t223))) % 1.11/1.34 (assume @p86 (forall @t29 (=> @t214 @t229))) % 1.11/1.34 (assume @p87 (forall @t114 (=> @t214 (= (tptp.hAPP @t227 @t226) @t230)))) % 1.11/1.34 (assume @p88 (forall @t72 (=> @t214 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t69) @t69)))) % 1.11/1.34 (assume @p89 (forall @t233 (=> @t232 (= (= (tptp.hAPP @t231 @t86) (tptp.hAPP @t231 @t176)) @t177)))) % 1.11/1.34 (assume @p90 (forall @t233 (=> @t232 (= (= (tptp.hAPP (tptp.hAPP @t41 @t86) @t198) (tptp.hAPP (tptp.hAPP @t41 @t176) @t198)) @t177)))) % 1.11/1.34 (assume @p91 (not (= @t74 @t32))) % 1.11/1.34 (assume @p92 (forall (@list @t37 @t39 @t128) (=> @t195 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t234 (tptp.hAPP @t194 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t37))) (= @t39 @t74))))) % 1.11/1.34 (assume @p93 (forall @t114 (=> @t28 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t26) @t26)))) % 1.11/1.34 (assume @p94 (forall @t79 (=> @t92 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t53 @t68) @t53)))) % 1.11/1.34 (assume @p95 (forall @t78 (=> @t92 (= (tptp.c_Groups_Oplus__class_Oplus @t56 @t68 @t51) @t51)))) % 1.11/1.34 (assume @p96 (forall (@list @t222 @t51 @t53 @t22) (=> @t62 (= (tptp.hAPP (tptp.hAPP @t59 @t90) @t222) (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.hAPP @t60 @t222) (tptp.hAPP @t235 @t222)))))) % 1.11/1.34 (assume @p97 (forall @t237 (= @t236 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t80 @t166) @t74)))) % 1.11/1.34 (assume @p98 (forall @t237 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t241 (tptp.hAPP @t239 @t166)) @t74) (and @t238 (= @t166 @t74))))) % 1.11/1.34 (assume @p99 (forall @t48 (=> @t214 (=> @t213 (= (tptp.hAPP (tptp.hAPP @t43 (tptp.c_Groups_Oabs__class_Oabs @t22 @t37)) @t39) (tptp.c_Groups_Oabs__class_Oabs @t22 @t210)))))) % 1.11/1.34 (assume @p100 (forall @t29 (=> (tptp.class_Rings_Oordered__ring__abs @t22) (=> (and (or @t245 @t244) (or @t243 @t242)) @t229)))) % 1.11/1.34 (assume @p101 (forall @t50 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t40)))) % 1.11/1.34 (assume @p102 (forall @t246 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t124 @t124))) % 1.11/1.34 (assume @p103 (forall @t249 (or @t248 @t247))) % 1.11/1.34 (assume @p104 (forall @t253 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t251 @t252) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t252 @t250) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t251 @t250))))) % 1.11/1.34 (assume @p105 (forall @t249 (=> @t248 (=> @t247 @t254)))) % 1.11/1.34 (assume @p106 (forall @t260 (= (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP @t259 @t256)) @t255) (tptp.hAPP @t259 (tptp.hAPP @t257 @t255))))) % 1.11/1.34 (assume @p107 (forall @t249 (= (tptp.hAPP @t261 @t124) (tptp.hAPP (tptp.hAPP @t41 @t124) @t122)))) % 1.11/1.34 (assume @p108 (forall @t29 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t27) @t24)))) % 1.11/1.34 (assume @p109 (forall @t114 (=> @t263 @t262))) % 1.11/1.34 (assume @p110 (forall @t114 (=> @t263 @t113))) % 1.11/1.34 (assume @p111 (forall @t265 (=> (tptp.class_Rings_Oring__no__zero__divisors @t22) (= (= @t264 @t75) (or @t87 (= @t176 @t75)))))) % 1.11/1.34 (assume @p112 (forall @t29 (=> @t271 (=> @t270 (=> @t268 (not @t266)))))) % 1.11/1.34 (assume @p113 (forall @t29 (=> @t271 (=> @t266 (or @t269 @t267))))) % 1.11/1.34 (assume @p114 (forall @t72 (=> @t272 (not (= @t75 @t69))))) % 1.11/1.34 (assume @p115 (forall @t72 (=> @t272 (not (= @t69 @t75))))) % 1.11/1.34 (assume @p116 (forall @t163 (=> (tptp.class_Rings_Ocomm__semiring @t22) @t277))) % 1.11/1.34 (assume @p117 (forall (@list @t128 @t20 @t278 @t21 @t22) (=> (tptp.class_Rings_Osemiring @t22) (= (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t102 @t278) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t273 @t278) @t128)) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t276 @t278) @t128))))) % 1.11/1.34 (assume @p118 (forall @t280 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t122 @t39) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t122 @t37))))) % 1.11/1.34 (assume @p119 (forall @t281 (= (tptp.hAPP @t67 @t122) @t122))) % 1.11/1.34 (assume @p120 (forall @t282 (= (tptp.hAPP (tptp.hAPP @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t258 @t256)) @t124) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t259 @t124) (tptp.hAPP @t257 @t124))))) % 1.11/1.34 (assume @p121 (forall @t114 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t230)))) % 1.11/1.34 (assume @p122 (forall @t265 (=> @t219 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t264) (or (and @t286 @t285) (and @t284 @t283)))))) % 1.11/1.34 (assume @p123 (forall @t265 (=> @t219 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t264 @t75) (or (and @t286 @t283) (and @t284 @t285)))))) % 1.11/1.34 (assume @p124 (forall @t29 (=> @t288 (=> @t245 (=> @t243 @t287))))) % 1.11/1.34 (assume @p125 (forall @t29 (=> @t288 (=> @t245 (=> @t242 @t289))))) % 1.11/1.34 (assume @p126 (forall @t29 (=> @t288 (=> @t245 (=> @t242 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t290 @t75)))))) % 1.11/1.34 (assume @p127 (forall @t29 (=> @t288 (=> @t244 (=> @t243 @t289))))) % 1.11/1.34 (assume @p128 (forall @t29 (=> @t207 (=> @t244 (=> @t242 @t287))))) % 1.11/1.34 (assume @p129 (forall @t163 (=> @t293 (=> @t161 (=> @t292 @t291))))) % 1.11/1.34 (assume @p130 (forall @t163 (=> @t293 @t298))) % 1.11/1.34 (assume @p131 (forall @t163 (=> (tptp.class_Rings_Oordered__comm__semiring @t22) @t298))) % 1.11/1.34 (assume @p132 (forall @t159 (=> @t207 (=> @t158 (=> @t299 @t291))))) % 1.11/1.34 (assume @p133 (forall @t159 (=> @t207 (=> @t158 (=> @t299 @t297))))) % 1.11/1.34 (assume @p134 (forall @t132 (=> @t293 (=> @t161 (=> @t302 (=> @t245 @t301)))))) % 1.11/1.34 (assume @p135 (forall @t132 (=> @t293 (=> @t161 (=> @t302 (=> @t243 @t301)))))) % 1.11/1.34 (assume @p136 (forall @t29 (=> @t207 (=> (or (and @t245 @t243) (and @t244 @t242)) @t287)))) % 1.11/1.34 (assume @p137 (forall @t29 (=> @t288 (=> (or (and @t245 @t242) (and @t244 @t243)) @t289)))) % 1.11/1.34 (assume @p138 (forall @t72 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t69)))) % 1.11/1.34 (assume @p139 (forall @t72 (=> @t303 (not (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t69 @t75))))) % 1.11/1.34 (assume @p140 (forall @t172 (=> @t219 (= (= @t218 @t75) @t216)))) % 1.11/1.34 (assume @p141 (forall @t137 (=> @t304 (= @t136 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t44 @t133) @t135))))) % 1.11/1.34 (assume @p142 (forall @t208 (=> @t304 (= @t305 (= @t198 @t209))))) % 1.11/1.34 (assume @p143 (forall @t208 (=> @t304 (= @t305 (= @t201 @t197))))) % 1.11/1.34 (assume @p144 (forall @t29 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t307 @t306)))) % 1.11/1.34 (assume @p145 (forall @t132 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t131) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t129) (tptp.c_Groups_Oabs__class_Oabs @t22 @t127)))))) % 1.11/1.34 (assume @p146 (forall @t29 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t309) @t307)))) % 1.11/1.34 (assume @p147 (forall @t29 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t309 @t307)))) % 1.11/1.34 (assume @p148 (forall @t29 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t309 @t310)))) % 1.11/1.34 (assume @p149 (forall @t29 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t91) @t306)))) % 1.11/1.34 (assume @p150 (forall @t114 (=> @t308 (=> @t245 @t311)))) % 1.11/1.34 (assume @p151 (forall @t313 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t312 @t75) @t87)))) % 1.11/1.34 (assume @p152 (forall @t114 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t226)))) % 1.11/1.34 (assume @p153 (forall (@list @t51 @t53 @t21 @t22) (=> @t62 (= (tptp.c_Polynomial_Opcompose @t22 @t64 @t51) (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.c_Polynomial_OpCons @t22 @t21 @t68) (tptp.hAPP @t235 @t314)))))) % 1.11/1.34 (assume @p154 (forall @t78 (=> @t62 (= (tptp.c_Polynomial_Opcompose @t22 @t68 @t51) @t68)))) % 1.11/1.34 (assume @p155 (forall @t58 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 @t314) @t39) (tptp.hAPP @t54 @t52))))) % 1.11/1.34 (assume @p156 (forall @t83 (=> @t76 (= (= @t75 @t80) @t81)))) % 1.11/1.34 (assume @p157 (forall @t163 (=> (tptp.class_Groups_Oab__semigroup__mult @t22) (= (tptp.hAPP (tptp.hAPP @t43 @t103) @t128) (tptp.hAPP @t102 @t274))))) % 1.11/1.34 (assume @p158 (forall @t163 (=> (tptp.class_Groups_Oab__semigroup__add @t22) @t317))) % 1.11/1.34 (assume @p159 (forall (@list @t198 @t176 @t86 @t22) (=> @t320 (= (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t86 @t176) @t319) @t318)))) % 1.11/1.34 (assume @p160 (forall (@list @t198 @t86 @t176 @t22) (=> @t320 (= (= @t322 @t321) @t318)))) % 1.11/1.34 (assume @p161 (forall @t163 (=> @t320 @t324))) % 1.11/1.34 (assume @p162 (forall @t163 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t22) @t324))) % 1.11/1.34 (assume @p163 (forall @t159 (=> @t320 (=> (= @t326 @t325) @t157)))) % 1.11/1.34 (assume @p164 (forall @t329 (=> @t65 (=> @t328 (= @t177 @t327))))) % 1.11/1.34 (assume @p165 (forall @t83 (=> (tptp.class_Groups_Oone @t22) (= (= @t69 @t80) (= @t80 @t69))))) % 1.11/1.34 (assume @p166 (forall @t114 (=> @t308 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t226) @t226)))) % 1.11/1.34 (assume @p167 (forall @t114 (=> @t331 @t330))) % 1.11/1.34 (assume @p168 (forall @t114 (=> @t92 @t330))) % 1.11/1.34 (assume @p169 (forall @t313 (=> @t333 (= (= @t75 @t332) @t87)))) % 1.11/1.34 (assume @p170 (forall @t114 (=> @t331 @t334))) % 1.11/1.34 (assume @p171 (forall @t114 (=> @t92 @t334))) % 1.11/1.34 (assume @p172 (forall @t338 (=> @t337 (=> @t336 @t161)))) % 1.11/1.34 (assume @p173 (forall @t340 (=> @t337 (=> @t339 @t161)))) % 1.11/1.34 (assume @p174 (forall @t132 (=> @t342 (=> @t161 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t323 @t341)))))) % 1.11/1.34 (assume @p175 (forall @t163 (=> @t342 (=> @t161 @t336)))) % 1.11/1.34 (assume @p176 (forall @t163 (=> @t342 (=> @t161 @t339)))) % 1.11/1.34 (assume @p177 (forall @t345 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t321 @t344) @t343)))) % 1.11/1.34 (assume @p178 (forall @t347 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t319 @t346) @t343)))) % 1.11/1.34 (assume @p179 (forall @t265 (=> @t349 (= @t348 @t177)))) % 1.11/1.34 (assume @p180 (forall @t265 (=> @t65 (= @t177 @t348)))) % 1.11/1.34 (assume @p181 (forall @t114 (=> @t349 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t21 @t21) @t75)))) % 1.11/1.34 (assume @p182 (forall @t114 (=> @t349 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t21 @t75) @t21)))) % 1.11/1.34 (assume @p183 (forall @t329 (=> @t350 (=> @t328 (= @t343 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t198 @t197)))))) % 1.11/1.34 (assume @p184 (forall @t114 (=> @t352 @t351))) % 1.11/1.34 (assume @p185 (forall @t114 (=> @t353 @t351))) % 1.11/1.34 (assume @p186 (forall @t114 (=> @t352 @t354))) % 1.11/1.34 (assume @p187 (forall @t114 (=> @t353 @t354))) % 1.11/1.34 (assume @p188 (forall @t29 (=> @t349 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t91 @t20) @t21)))) % 1.11/1.34 (assume @p189 (forall @t29 (=> @t349 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t23 @t20) @t21)))) % 1.11/1.34 (assume @p190 (forall @t72 (=> @t308 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t75) @t75)))) % 1.11/1.34 (assume @p191 (forall @t313 (=> @t308 (= (= @t312 @t75) @t87)))) % 1.11/1.34 (assume @p192 (forall @t29 (=> @t308 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t226 @t20) @t161)))) % 1.11/1.34 (assume @p193 (forall @t114 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t21 @t226)))) % 1.11/1.34 (assume @p194 (forall @t29 (=> @t308 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t306) @t306)))) % 1.11/1.34 (assume @p195 (forall @t29 (=> @t308 (= @t307 @t310)))) % 1.11/1.34 (assume @p196 (forall @t313 (=> @t333 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t332) @t286)))) % 1.11/1.34 (assume @p197 (forall @t313 (=> @t333 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t332 @t75) @t284)))) % 1.11/1.34 (assume @p198 (forall @t29 (=> @t355 (=> @t245 (=> @t243 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t91)))))) % 1.11/1.34 (assume @p199 (forall @t172 (=> @t355 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t80) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t166) (= (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t80 @t166) @t75) @t216)))))) % 1.11/1.34 (assume @p200 (forall @t163 (=> @t355 (=> @t245 (=> @t165 @t356))))) % 1.11/1.34 (assume @p201 (forall (@list @t21 @t20 @t128 @t22) (=> @t355 (=> @t292 (=> @t158 @t356))))) % 1.11/1.34 (assume @p202 (forall @t29 (=> @t355 (=> @t244 (=> @t242 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t91 @t75)))))) % 1.11/1.34 (assume @p203 (forall @t265 (=> @t350 (= @t343 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t200 @t75))))) % 1.11/1.34 (assume @p204 (forall (@list @t357 @t22) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t357 @t357) (tptp.hAPP (tptp.hAPP @t43 @t358) @t357))))) % 1.11/1.34 (assume @p205 (forall (@list @t21 @t357 @t22) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t357 @t361) @t360)))) % 1.11/1.34 (assume @p206 (forall (@list @t357 @t21 @t22) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t361 @t357) @t360)))) % 1.11/1.34 (assume @p207 (forall (@list @t126 @t128 @t20 @t21 @t222 @t22) (=> @t363 (=> (not (= @t222 @t75)) (=> (and @t164 (not (= @t128 @t126))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 (tptp.hAPP @t362 @t128)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t20 (tptp.hAPP @t362 @t126))))))))) % 1.11/1.34 (assume @p208 (forall (@list @t86 @t84 @t22) (=> @t119 (= (= (tptp.hAPP @t118 @t86) @t75) (or @t85 (not (= (tptp.c_Polynomial_Oorder @t22 @t86 @t84) @t364))))))) % 1.11/1.34 (assume @p209 (forall @t365 (=> @t65 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t323 @t341) (tptp.c_Groups_Oplus__class_Oplus @t22 @t23 (tptp.c_Groups_Ominus__class_Ominus @t22 @t128 @t126)))))) % 1.11/1.34 (assume @p210 (forall @t114 (=> @t71 @t351))) % 1.11/1.34 (assume @p211 (forall @t114 (=> @t71 @t354))) % 1.11/1.34 (assume @p212 (forall @t374 (and (=> @t372 (= @t371 @t364)) (=> @t373 (= @t371 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t366 (tptp.hAPP (tptp.hAPP @t369 @t368) @t366))))))) % 1.11/1.34 (assume @p213 (forall @t29 (=> @t71 (= @t103 @t290)))) % 1.11/1.34 (assume @p214 (forall @t382 (=> @t71 (= @t381 (tptp.hAPP @t379 (tptp.hAPP @t377 @t375)))))) % 1.11/1.34 (assume @p215 (forall @t382 (=> @t71 (= @t381 (tptp.hAPP @t383 @t375))))) % 1.11/1.34 (assume @p216 (forall @t388 (=> @t71 (= @t387 (tptp.hAPP @t377 (tptp.hAPP @t385 @t378)))))) % 1.11/1.34 (assume @p217 (forall @t388 (=> @t71 (= @t387 (tptp.hAPP @t383 @t384))))) % 1.11/1.34 (assume @p218 (forall @t390 (=> @t71 (= @t389 (tptp.hAPP @t377 (tptp.hAPP @t385 @t380)))))) % 1.11/1.34 (assume @p219 (forall @t390 (=> @t71 (= @t389 (tptp.hAPP @t379 (tptp.hAPP @t386 @t375)))))) % 1.11/1.34 (assume @p220 (forall @t390 (=> @t71 (= @t389 (tptp.hAPP @t383 (tptp.hAPP @t385 @t375)))))) % 1.11/1.34 (assume @p221 (forall @t132 (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t91 @t130) (tptp.c_Groups_Oplus__class_Oplus @t22 @t323 @t341))))) % 1.11/1.34 (assume @p222 (forall @t163 (=> @t71 (= @t316 (tptp.c_Groups_Oplus__class_Oplus @t22 @t323 @t20))))) % 1.11/1.34 (assume @p223 (forall @t163 (=> @t71 @t317))) % 1.11/1.34 (assume @p224 (forall @t392 (=> @t71 (= @t391 (tptp.c_Groups_Oplus__class_Oplus @t22 @t323 @t126))))) % 1.11/1.34 (assume @p225 (forall @t392 (=> @t71 (= @t391 (tptp.c_Groups_Oplus__class_Oplus @t22 @t128 (tptp.c_Groups_Oplus__class_Oplus @t22 @t21 @t126)))))) % 1.11/1.34 (assume @p226 @t394) % 1.11/1.34 (assume @p227 (forall @t114 (=> @t71 @t262))) % 1.11/1.34 (assume @p228 (forall @t114 (=> @t71 @t113))) % 1.11/1.34 (assume @p229 (forall (@list @t86 @t176 @t22) (=> @t363 (= (= @t176 @t322) @t87)))) % 1.11/1.34 (assume @p230 (forall @t114 (=> @t71 @t334))) % 1.11/1.34 (assume @p231 (forall @t114 (=> @t71 @t330))) % 1.11/1.34 (assume @p232 (forall @t155 (=> @t71 (= (tptp.hAPP @t44 (tptp.c_Groups_Oplus__class_Oplus @t22 @t37 @t122)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t45 (tptp.hAPP @t44 @t122)))))) % 1.11/1.34 (assume @p233 (forall @t329 (=> @t363 (= (and (not @t177) (not @t327)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t396 (tptp.hAPP @t202 @t197)) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t204 @t197) @t395))))))) % 1.11/1.34 (assume @p234 (forall @t163 (=> @t71 @t277))) % 1.11/1.34 (assume @p235 (forall (@list @t20 @t357 @t21 @t22) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t361 (tptp.hAPP @t273 @t357)) (tptp.hAPP @t276 @t357))))) % 1.11/1.34 (assume @p236 (forall (@list @t397 @t80 @t166 @t398 @t22) (=> @t363 (= (= (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t399 @t166) (tptp.hAPP @t217 @t397)) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP @t399 @t397) (tptp.hAPP @t217 @t166))) (or (= @t398 @t80) (= @t166 @t397)))))) % 1.11/1.34 (assume @p237 (forall @t121 (=> @t76 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t22 @t84) @t364) @t85)))) % 1.11/1.34 (assume @p238 (forall @t400 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t364 @t366))) % 1.11/1.34 (assume @p239 (forall @t313 (=> @t333 (= (= @t332 @t75) @t87)))) % 1.11/1.34 (assume @p240 (forall (@list @t84 @t86 @t22 @t397 @t2 @t145) (=> @t406 (=> @t405 (= @t403 (tptp.hAPP @t402 @t401)))))) % 1.11/1.34 (assume @p241 (forall @t72 (=> @t47 (exists @t412 (and @t411 @t410))))) % 1.11/1.34 (assume @p242 (forall @t50 (=> @t47 (exists @t412 (and @t411 @t414))))) % 1.11/1.34 (assume @p243 (forall @t116 (=> @t47 (exists @t412 (and @t411 @t415))))) % 1.11/1.34 (assume @p244 (forall @t400 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t366))) % 1.11/1.34 (assume @p245 (forall @t417 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t357 @t416))) % 1.11/1.34 (assume @p246 (forall @t419 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t418))) % 1.11/1.34 (assume @p247 (forall @t419 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t420))) % 1.11/1.34 (assume @p248 (forall @t417 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t357 (tptp.hAPP @t370 @t416)))) % 1.11/1.34 (assume @p249 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t369 @t367) @t366) @t366))) % 1.11/1.34 (assume @p250 (forall @t426 (= (= @t367 @t425) @t423))) % 1.11/1.34 (assume @p251 (forall @t400 (= (tptp.hAPP @t427 @t367) @t366))) % 1.11/1.34 (assume @p252 (forall @t374 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t428 @t357))) % 1.11/1.34 (assume @p253 (forall @t433 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t431) (exists @t432 (= @t431 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t429)))))) % 1.11/1.34 (assume @p254 (forall @t426 (= @t437 (exists @t436 (= @t421 @t435))))) % 1.11/1.34 (assume @p255 (forall @t374 (= @t418 @t420))) % 1.11/1.34 (assume @p256 (forall @t374 (or @t439 @t438))) % 1.11/1.34 (assume @p257 (forall @t443 (=> @t442 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t441) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t252))))) % 1.11/1.34 (assume @p258 (forall @t280 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t444) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t122))))) % 1.11/1.34 (assume @p259 (forall @t448 (= (tptp.hAPP @t445 @t418) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t447 @t446)))) % 1.11/1.34 (assume @p260 (forall @t426 (= (= @t425 @t367) @t423))) % 1.11/1.34 (assume @p261 (forall @t374 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t418 @t366) @t357))) % 1.11/1.34 (assume @p262 (forall @t419 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t420 @t366) @t357))) % 1.11/1.34 (assume @p263 (forall @t450 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t418 @t250) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t449)))) % 1.11/1.34 (assume @p264 (forall @t253 (= @t453 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t451)))) % 1.11/1.34 (assume @p265 (forall (@list @t454 @t430 @t456) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t457 @t454) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 @t455)))) % 1.11/1.34 (assume @p266 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t369 @t418) @t250) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t459 @t458)))) % 1.11/1.34 (assume @p267 (forall @t463 (= (= @t462 @t461) @t460))) % 1.11/1.34 (assume @p268 (forall @t464 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t422 @t430) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t421 @t430)) @t460))) % 1.11/1.34 (assume @p269 (forall @t448 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t466 @t465) @t428))) % 1.11/1.34 (assume @p270 (forall @t468 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t467 @t449) @t428))) % 1.11/1.34 (assume @p271 (forall @t463 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t462 @t461) @t437))) % 1.11/1.34 (assume @p272 (forall @t374 (=> @t469 @t439))) % 1.11/1.34 (assume @p273 (forall @t472 (=> @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t470)))) % 1.11/1.34 (assume @p274 (forall @t472 (=> @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t473)))) % 1.11/1.34 (assume @p275 (forall @t475 (=> @t474 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t357 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t420 @t250))))) % 1.11/1.34 (assume @p276 (forall @t253 (=> @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t451)))) % 1.11/1.34 (assume @p277 (forall @t253 (=> @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t479 @t477)))) % 1.11/1.34 (assume @p278 (forall @t253 (=> @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t481 @t480)))) % 1.11/1.34 (assume @p279 (forall @t485 (=> @t439 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484 @t483)))) % 1.11/1.34 (assume @p280 (forall @t485 (=> @t439 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t482) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t482))))) % 1.11/1.34 (assume @p281 (forall @t486 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t366) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t251)) @t251)))) % 1.11/1.34 (assume @p282 (forall @t419 (=> @t438 @t487))) % 1.11/1.34 (assume @p283 (forall @t443 (=> @t442 (= @t490 @t489)))) % 1.11/1.34 (assume @p284 (forall (@list @t454 @t456 @t430) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t456) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 @t457) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t455 @t456))))) % 1.11/1.34 (assume @p285 (forall @t419 (=> @t438 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t428 @t366) @t357)))) % 1.11/1.34 (assume @p286 (forall @t493 (=> @t492 (= (= @t491 @t430) (= @t456 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t454)))))) % 1.11/1.34 (assume @p287 (forall @t443 (=> @t442 (= @t489 @t490)))) % 1.11/1.34 (assume @p288 (forall @t443 (=> @t442 (= @t496 @t495)))) % 1.11/1.34 (assume @p289 (forall @t443 (=> @t442 (= @t495 @t496)))) % 1.11/1.34 (assume @p290 (forall @t253 (=> @t471 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t252 @t250) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t250))))) % 1.11/1.34 (assume @p291 (forall @t374 (=> @t439 (=> @t438 @t469)))) % 1.11/1.34 (assume @p292 (forall @t499 (=> @t471 (=> @t498 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t497))))) % 1.11/1.34 (assume @p293 (forall @t499 (=> @t471 (=> @t498 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t479 (tptp.hAPP @t476 @t482)))))) % 1.11/1.34 (assume @p294 (forall @t463 (=> @t503 (=> @t502 (= (= @t501 @t500) @t460))))) % 1.11/1.34 (assume @p295 (forall @t448 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t357) (=> @t474 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t250) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t250)) @t428))))) % 1.11/1.34 (assume @p296 (forall @t463 (=> @t503 (=> @t502 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t501 @t500) @t437))))) % 1.11/1.34 (assume @p297 (forall @t468 (=> @t504 @t474))) % 1.11/1.34 (assume @p298 (forall @t468 (=> @t504 @t439))) % 1.11/1.34 (assume @p299 (forall @t468 (=> @t504 (not (=> @t439 (not @t474)))))) % 1.11/1.34 (assume @p300 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t369 @t428) @t250) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t459 @t458)))) % 1.11/1.34 (assume @p301 (forall @t253 (= @t453 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t250) @t252)))) % 1.11/1.34 (assume @p302 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t369 @t371) @t250) (tptp.hAPP @t370 @t458)))) % 1.11/1.34 (assume @p303 (forall @t448 (= (tptp.hAPP @t445 @t428) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t447 @t446)))) % 1.11/1.34 (assume @p304 (forall @t374 (= @t371 @t505))) % 1.11/1.34 (assume @p305 (forall @t400 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t364 @t366) @t364))) % 1.11/1.34 (assume @p306 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t369 @t364) @t366) @t364))) % 1.11/1.34 (assume @p307 (forall @t400 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t364 @t366) @t366))) % 1.11/1.34 (assume @p308 (forall @t417 (= (tptp.hAPP @t370 @t364) @t364))) % 1.11/1.34 (assume @p309 (forall @t417 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t364) @t357))) % 1.11/1.34 (assume @p310 (forall @t417 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t364) @t357))) % 1.11/1.34 (assume @p311 (forall @t507 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t421 @t364) @t506))) % 1.11/1.34 (assume @p312 (forall @t417 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t357) @t364))) % 1.11/1.34 (assume @p313 (forall @t419 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t420) @t364))) % 1.11/1.34 (assume @p314 (forall @t426 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t422 @t421) @t364) @t437))) % 1.11/1.34 (assume @p315 (forall @t426 (= (= @t509 @t364) (and @t508 @t506)))) % 1.11/1.34 (assume @p316 (forall @t426 (= (= @t425 @t364) (or @t508 @t506)))) % 1.11/1.34 (assume @p317 (forall @t463 (= @t515 @t511))) % 1.11/1.34 (assume @p318 (forall @t464 (= (= @t518 @t517) @t511))) % 1.11/1.34 (assume @p319 (forall @t374 (=> @t439 @t519))) % 1.11/1.34 (assume @p320 (forall @t374 (=> (= @t357 @t371) (or (= @t366 @t367) @t372)))) % 1.11/1.34 (assume @p321 (forall @t374 (=> @t519 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t357) @t364) @t469)))) % 1.11/1.34 (assume @p322 (forall @t374 (=> (= @t418 @t357) @t520))) % 1.11/1.34 (assume @p323 (forall (@list @t22 @t397 @t2 @t145) (=> @t406 (=> @t405 (= (tptp.c_Polynomial_Opoly__rec @t22 @t145 @t397 @t2 @t404) @t397))))) % 1.11/1.34 (assume @p324 (forall (@list @t84 @t86 @t2 @t397 @t22 @t145) (=> @t406 (= @t403 (tptp.hAPP @t402 (tptp.c_If @t22 (tptp.c_fequal @t84 @t404) @t397 @t401)))))) % 1.11/1.34 (assume @p325 (forall @t526 (=> @t492 (= @t525 (= @t422 @t522))))) % 1.11/1.34 (assume @p326 (forall (@list @t366 @t357 @t186 @t252 @t251) (=> @t471 (= @t529 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t251)) @t186) @t366)))))) % 1.11/1.34 (assume @p327 (forall @t526 (=> @t492 (= @t530 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t422 @t522))))) % 1.11/1.34 (assume @p328 (forall @t533 (=> @t532 (= @t525 (= @t531 @t421))))) % 1.11/1.34 (assume @p329 (forall (@list @t366 @t357 @t186 @t251 @t252) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t252 @t251) (= @t529 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t452) @t186) @t357) @t366))))) % 1.11/1.34 (assume @p330 (forall @t533 (=> @t532 (= @t530 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t531 @t421))))) % 1.11/1.34 (assume @p331 (forall (@list @t250 @t252 @t186 @t251) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t528 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t527 @t250)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t488) @t186) @t250)))) % 1.11/1.34 (assume @p332 (forall @t463 (= @t515 (or @t510 @t460)))) % 1.11/1.34 (assume @p333 (forall @t535 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t122) @t534))) % 1.11/1.34 (assume @p334 (forall @t280 (=> @t536 @t534))) % 1.11/1.34 (assume @p335 (forall @t540 (=> @t539 (= (tptp.c_RComplete_Onatceiling @t538) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t537 @t367))))) % 1.11/1.34 (assume @p336 (forall @t541 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t21 @t20)) (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Complex_Oexpi @t21)) (tptp.c_Complex_Oexpi @t20))))) % 1.11/1.34 (assume @p337 (forall @t540 (=> @t539 (= (tptp.c_RComplete_Onatfloor @t538) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t367))))) % 1.11/1.34 (assume @p338 (forall @t72 (=> @t47 (exists @t412 @t410)))) % 1.11/1.34 (assume @p339 (= (tptp.c_Complex_Oexpi @t544) @t543)) % 1.11/1.34 (assume @p340 (= (tptp.c_RComplete_Onatfloor @t74) @t364)) % 1.11/1.34 (assume @p341 (forall @t540 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t364 @t542))) % 1.11/1.34 (assume @p342 (forall @t545 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t542 (tptp.c_RComplete_Onatfloor @t37))))) % 1.11/1.34 (assume @p343 (= (tptp.c_RComplete_Onatfloor @t32) @t367)) % 1.11/1.34 (assume @p344 (= (tptp.c_RComplete_Onatceiling @t74) @t364)) % 1.11/1.34 (assume @p345 (forall @t540 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t364 @t537))) % 1.11/1.34 (assume @p346 (forall @t545 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t537 (tptp.c_RComplete_Onatceiling @t37))))) % 1.11/1.34 (assume @p347 (= (tptp.c_RComplete_Onatceiling @t32) @t367)) % 1.11/1.34 (assume @p348 (forall @t540 (=> @t546 (= @t542 @t364)))) % 1.11/1.34 (assume @p349 (forall @t540 (=> @t546 (= @t537 @t364)))) % 1.11/1.34 (assume @p350 (forall @t549 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t548) @t547))) % 1.11/1.34 (assume @p351 (forall @t549 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t367) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t32)))) % 1.11/1.34 (assume @p352 (forall @t541 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t20) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t551) (tptp.c_RComplete_Onatfloor @t20)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t41 @t21) @t20))))))) % 1.11/1.34 (assume @p353 (forall @t554 (=> @t539 (= (tptp.c_RComplete_Onatceiling @t553) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t537 @t21))))) % 1.11/1.34 (assume @p354 (forall @t116 (=> @t47 (exists @t412 @t415)))) % 1.11/1.34 (assume @p355 (forall @t50 (=> @t47 (exists @t412 @t414)))) % 1.11/1.34 (assume @p356 (forall @t554 (=> @t539 (= (tptp.c_RComplete_Onatfloor @t553) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t21))))) % 1.11/1.34 (assume @p357 (forall @t50 (=> @t28 (and (=> @t193 (= @t556 @t74)) (=> (not @t193) (= @t556 @t32)))))) % 1.11/1.34 (assume @p358 (forall @t191 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t22) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t39 @t21) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t37 @t21) (=> @t190 (=> @t189 (=> @t188 (tptp.c_Orderings_Oord__class_Oless @t22 @t187 @t21))))))))) % 1.11/1.34 (assume @p359 (forall @t400 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t364)))) % 1.11/1.34 (assume @p360 (forall @t400 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t557))) % 1.11/1.34 (assume @p361 (forall @t558 (=> @t539 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t557) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t542 @t366))))) % 1.11/1.34 (assume @p362 (forall @t313 (=> @t214 (= (= @t560 @t69) @t559)))) % 1.11/1.34 (assume @p363 (forall @t114 (=> @t214 (=> @t562 (= @t561 @t69))))) % 1.11/1.34 (assume @p364 (forall @t50 (=> @t49 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t39 @t39))))) % 1.11/1.34 (assume @p365 (forall @t172 (=> @t144 (= @t565 (or @t564 @t563))))) % 1.11/1.34 (assume @p366 (forall @t172 (=> @t144 (= @t566 (or @t563 @t167))))) % 1.11/1.34 (assume @p367 (forall @t48 (=> @t144 (or @t568 @t152 @t567)))) % 1.11/1.34 (assume @p368 (forall @t171 (=> @t144 (=> (not @t563) @t569)))) % 1.11/1.34 (assume @p369 (forall @t48 (=> @t144 @t572))) % 1.11/1.34 (assume @p370 (forall @t48 (=> @t150 (=> @t568 @t571)))) % 1.11/1.34 (assume @p371 (forall @t48 (=> @t49 (=> @t568 (not @t567))))) % 1.11/1.34 (assume @p372 (forall @t48 (=> @t150 (=> @t568 (not (= @t37 @t39)))))) % 1.11/1.34 (assume @p373 (forall @t29 (=> @t49 (=> @t574 (not @t573))))) % 1.11/1.34 (assume @p374 (forall @t575 (=> @t150 (=> @t573 (not @t574))))) % 1.11/1.34 (assume @p375 (forall @t163 (=> @t162 (=> @t164 (=> @t577 @t576))))) % 1.11/1.34 (assume @p376 (forall @t163 (=> @t150 (=> @t164 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t128 @t20) @t578))))) % 1.11/1.34 (assume @p377 (forall @t163 (=> @t162 (=> @t574 (=> @t157 @t576))))) % 1.11/1.34 (assume @p378 (forall @t159 (=> @t150 (=> @t573 (=> @t157 @t578))))) % 1.11/1.34 (assume @p379 (forall @t155 (=> @t49 (=> @t568 @t580)))) % 1.11/1.34 (assume @p380 (forall @t151 (=> @t150 (=> @t567 @t582)))) % 1.11/1.34 (assume @p381 (forall @t48 (=> @t144 (=> @t570 (=> @t571 @t567))))) % 1.11/1.34 (assume @p382 (forall @t114 (=> @t214 (= (tptp.c_Groups_Osgn__class_Osgn @t22 @t561) @t561)))) % 1.11/1.34 (assume @p383 (forall @t586 (= (= @t585 @t584) @t583))) % 1.11/1.34 (assume @p384 (forall @t586 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t585 @t584) @t587))) % 1.11/1.34 (assume @p385 (forall @t48 (=> @t214 @t572))) % 1.11/1.34 (assume @p386 (forall @t400 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t557 @t74)))) % 1.11/1.34 (assume @p387 (forall @t507 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t585) @t588))) % 1.11/1.34 (assume @p388 (forall @t313 (=> @t214 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t560) @t559)))) % 1.11/1.34 (assume @p389 (forall @t313 (=> @t214 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t560 @t75) @t589)))) % 1.11/1.34 (assume @p390 (forall @t540 (=> @t590 (= (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t39) @t32)))) % 1.11/1.34 (assume @p391 (forall @t173 (=> @t148 (= (tptp.c_Orderings_Oord__class_Oless @t146 @t2 @t1) (and @t147 (not (tptp.c_Orderings_Oord__class_Oless__eq @t146 @t1 @t2))))))) % 1.11/1.34 (assume @p392 (forall @t172 (=> @t144 (= @t566 @t170)))) % 1.11/1.34 (assume @p393 (forall @t172 (=> @t144 (= (not @t168) @t563)))) % 1.11/1.34 (assume @p394 (forall @t48 (=> @t144 (or @t143 @t567)))) % 1.11/1.34 (assume @p395 (forall @t172 (=> @t150 (= @t564 (and @t168 @t565))))) % 1.11/1.34 (assume @p396 (forall @t172 (=> @t49 (= @t564 (and @t168 (not @t170)))))) % 1.11/1.34 (assume @p397 (forall @t172 (=> @t150 (= @t168 (or @t564 @t167))))) % 1.11/1.34 (assume @p398 (forall @t48 (=> @t144 (=> @t570 @t142)))) % 1.11/1.34 (assume @p399 (forall @t153 (=> @t144 (=> (not @t142) @t568)))) % 1.11/1.34 (assume @p400 (forall @t172 (=> @t144 (=> @t566 @t169)))) % 1.11/1.34 (assume @p401 (forall @t29 (=> @t150 (=> @t591 (=> @t161 @t574))))) % 1.11/1.34 (assume @p402 (forall @t29 (=> @t150 (=> @t591 (=> @t158 @t573))))) % 1.11/1.34 (assume @p403 (forall @t153 (=> @t144 (=> @t142 @t570)))) % 1.11/1.34 (assume @p404 (forall @t48 (=> @t49 (=> @t568 @t143)))) % 1.11/1.34 (assume @p405 (forall @t172 (=> @t144 (=> @t168 @t569)))) % 1.11/1.34 (assume @p406 (forall @t48 (=> @t150 (=> @t143 (or @t568 @t152))))) % 1.11/1.34 (assume @p407 (forall @t29 (=> @t150 (=> @t161 (=> @t591 @t574))))) % 1.11/1.34 (assume @p408 (forall @t575 (=> @t150 (=> @t158 (=> @t591 @t573))))) % 1.11/1.34 (assume @p409 (forall @t155 (=> @t49 (=> @t568 (=> @t154 @t579))))) % 1.11/1.34 (assume @p410 (forall @t151 (=> @t150 (=> @t567 (=> @t149 @t581))))) % 1.11/1.34 (assume @p411 (forall @t155 (=> @t49 (=> @t143 @t580)))) % 1.11/1.34 (assume @p412 (forall @t151 (=> @t150 (=> @t142 @t582)))) % 1.11/1.34 (assume @p413 (forall @t338 (=> @t337 (=> @t592 @t574)))) % 1.11/1.34 (assume @p414 (forall @t340 (=> @t337 (=> @t593 @t574)))) % 1.11/1.34 (assume @p415 (forall @t132 (=> @t597 (=> @t574 @t596)))) % 1.11/1.34 (assume @p416 (forall @t163 (=> @t597 (=> @t574 @t592)))) % 1.11/1.34 (assume @p417 (forall @t163 (=> @t597 (=> @t574 @t593)))) % 1.11/1.34 (assume @p418 (forall @t345 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t321 @t344) @t598)))) % 1.11/1.34 (assume @p419 (forall @t347 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t319 @t346) @t598)))) % 1.11/1.34 (assume @p420 (forall @t329 (=> @t350 (=> @t328 (= @t598 (tptp.c_Orderings_Oord__class_Oless @t22 @t198 @t197)))))) % 1.11/1.34 (assume @p421 (forall @t540 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t599) @t599))) % 1.11/1.34 (assume @p422 (forall @t507 (= @t600 @t588))) % 1.11/1.34 (assume @p423 (forall @t374 (=> @t602 @t601))) % 1.11/1.34 (assume @p424 (forall @t400 (=> @t601 @t603))) % 1.11/1.34 (assume @p425 (forall @t237 (= @t604 (and @t236 @t565)))) % 1.11/1.34 (assume @p426 (forall @t237 (= @t236 (or @t604 @t167)))) % 1.11/1.34 (assume @p427 (forall @t253 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t488 @t250) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t251 @t250)))) % 1.11/1.34 (assume @p428 (forall (@list @t366 @t357 @t482 @t250) (=> @t605 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t482) @t465) @t602)))) % 1.11/1.34 (assume @p429 (forall @t499 (=> @t606 (=> @t605 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t497))))) % 1.11/1.34 (assume @p430 (forall @t253 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t451)))) % 1.11/1.34 (assume @p431 (forall @t472 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t251 @t473)))) % 1.11/1.34 (assume @p432 (forall @t472 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t251 @t470)))) % 1.11/1.34 (assume @p433 (forall @t463 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t462 @t461) @t607))) % 1.11/1.34 (assume @p434 (forall (@list @t251 @t252) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t494 @t251)))) % 1.11/1.34 (assume @p435 (forall (@list @t252 @t251) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t488 @t251)))) % 1.11/1.34 (assume @p436 (forall @t280 (=> @t609 @t608))) % 1.11/1.34 (assume @p437 (forall @t535 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t122) @t608))) % 1.11/1.34 (assume @p438 (forall @t374 (=> (or @t602 @t469) @t439))) % 1.11/1.34 (assume @p439 (forall @t374 (=> @t439 (=> @t610 @t602)))) % 1.11/1.34 (assume @p440 (forall @t374 (=> @t602 @t439))) % 1.11/1.34 (assume @p441 (forall @t426 (= @t437 @t611))) % 1.11/1.34 (assume @p442 (forall @t426 (= @t607 (and @t437 @t612)))) % 1.11/1.34 (assume @p443 (forall @t545 (=> @t609 @t536))) % 1.11/1.34 (assume @p444 (forall (@list @t366 @t250 @t252) (=> @t613 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t366) @t250)))) % 1.11/1.34 (assume @p445 (forall @t485 (=> @t602 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t357 @t482) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t484 @t483))))) % 1.11/1.34 (assume @p446 (forall @t400 (= (tptp.c_RComplete_Onatfloor @t557) @t366))) % 1.11/1.34 (assume @p447 (forall @t400 (= (tptp.c_RComplete_Onatceiling @t557) @t366))) % 1.11/1.34 (assume @p448 (forall @t313 (=> @t214 (= (= @t560 @t75) @t87)))) % 1.11/1.34 (assume @p449 (forall @t83 (=> @t28 (= (= (tptp.c_Groups_Osgn__class_Osgn @t22 @t80) @t75) @t81)))) % 1.11/1.34 (assume @p450 (forall @t72 (=> @t28 @t614))) % 1.11/1.34 (assume @p451 (forall @t72 (=> (tptp.class_Groups_Osgn__if @t22) @t614))) % 1.11/1.34 (assume @p452 (forall @t29 (=> @t214 (= (tptp.c_Groups_Osgn__class_Osgn @t22 @t103) (tptp.hAPP (tptp.hAPP @t43 @t561) (tptp.c_Groups_Osgn__class_Osgn @t22 @t20)))))) % 1.11/1.34 (assume @p453 (forall @t48 (=> @t180 (= (tptp.c_Groups_Osgn__class_Osgn @t22 @t45) (tptp.hAPP @t615 (tptp.c_Groups_Osgn__class_Osgn @t22 @t37)))))) % 1.11/1.34 (assume @p454 (forall @t72 (=> @t73 (= (tptp.c_Groups_Osgn__class_Osgn @t22 @t69) @t69)))) % 1.11/1.34 (assume @p455 (forall @t586 (= @t587 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t585 @t32) @t584)))) % 1.11/1.34 (assume @p456 (forall @t586 (= @t616 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t585 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t584 @t32))))) % 1.11/1.34 (assume @p457 (forall @t540 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t617 @t32)))) % 1.11/1.34 (assume @p458 (forall @t540 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t39 @t32) @t617))) % 1.11/1.34 (assume @p459 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t364) @t74)) % 1.11/1.34 (assume @p460 (forall @t507 (= (= @t585 @t74) @t506))) % 1.11/1.34 (assume @p461 (forall @t586 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t585 @t584) @t616))) % 1.11/1.34 (assume @p462 (forall (@list @t366 @t122) (=> (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 @t122) @t367) @t366) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t122 @t557)))) % 1.11/1.34 (assume @p463 (forall @t619 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t557 @t39) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t618) (= @t542 @t366))))) % 1.11/1.34 (assume @p464 (forall @t374 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t371) (tptp.hAPP (tptp.hAPP @t41 @t620) @t557)))) % 1.11/1.34 (assume @p465 (forall @t159 (=> @t219 (=> @t573 (=> @t622 @t621))))) % 1.11/1.34 (assume @p466 (forall @t159 (=> @t219 (=> @t573 (=> @t622 @t623))))) % 1.11/1.34 (assume @p467 (forall @t163 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t22) @t625))) % 1.11/1.34 (assume @p468 (forall @t163 (=> @t626 @t625))) % 1.11/1.34 (assume @p469 (forall @t163 (=> @t626 (=> @t574 (=> @t624 @t623))))) % 1.11/1.34 (assume @p470 (forall @t29 (=> @t219 (=> @t629 (=> @t628 @t627))))) % 1.11/1.34 (assume @p471 (forall @t29 (=> @t626 (=> @t629 (=> @t631 @t630))))) % 1.11/1.34 (assume @p472 (forall @t345 (=> @t219 (=> @t637 (= @t636 @t632))))) % 1.11/1.34 (assume @p473 (forall @t575 (=> @t626 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t290) @t638)))) % 1.11/1.34 (assume @p474 (forall @t29 (=> @t626 (=> @t627 @t638)))) % 1.11/1.34 (assume @p475 (forall @t29 (=> @t626 (=> @t562 (=> @t628 (tptp.c_Orderings_Oord__class_Oless @t22 @t290 @t75)))))) % 1.11/1.34 (assume @p476 (forall @t29 (=> @t626 (=> @t562 (=> @t628 @t630))))) % 1.11/1.34 (assume @p477 (forall @t29 (=> @t626 (=> @t562 (=> @t631 @t627))))) % 1.11/1.34 (assume @p478 (forall @t345 (=> @t219 (=> @t639 (= @t636 @t598))))) % 1.11/1.34 (assume @p479 (forall @t345 (=> @t219 (= @t636 @t640)))) % 1.11/1.34 (assume @p480 (forall @t347 (=> @t219 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t396 @t395) @t640)))) % 1.11/1.34 (assume @p481 (forall @t114 (=> @t221 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t230 @t75))))) % 1.11/1.34 (assume @p482 (forall @t163 (=> @t303 (=> @t562 @t642)))) % 1.11/1.34 (assume @p483 (forall @t29 (=> @t355 (=> @t629 @t644)))) % 1.11/1.34 (assume @p484 (forall @t29 (=> @t355 (=> @t562 @t646)))) % 1.11/1.34 (assume @p485 (forall @t313 (=> @t333 @t647))) % 1.11/1.34 (assume @p486 (forall @t313 (=> @t333 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t332) @t559)))) % 1.11/1.34 (assume @p487 (forall @t313 (=> @t214 @t647))) % 1.11/1.34 (assume @p488 (forall @t374 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t418) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t620 @t557)))) % 1.11/1.34 (assume @p489 (forall @t132 (=> @t597 (=> @t161 @t596)))) % 1.11/1.34 (assume @p490 (forall @t132 (=> @t597 (=> @t574 (=> @t302 @t594))))) % 1.11/1.34 (assume @p491 (forall @t265 (=> @t350 (= @t598 (tptp.c_Orderings_Oord__class_Oless @t22 @t200 @t75))))) % 1.11/1.34 (assume @p492 (forall @t72 (=> @t303 (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t69)))) % 1.11/1.34 (assume @p493 (forall @t72 (=> @t303 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t75))))) % 1.11/1.34 (assume @p494 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t367) @t32)) % 1.11/1.34 (assume @p495 (forall (@list @t366 @t357 @t22) (=> @t303 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t357) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t366) (tptp.c_Orderings_Oord__class_Oless @t22 @t69 (tptp.hAPP @t648 @t366))))))) % 1.11/1.34 (assume @p496 (forall @t114 (=> @t303 (tptp.c_Orderings_Oord__class_Oless @t22 @t21 @t359)))) % 1.11/1.34 (assume @p497 (forall @t114 (=> @t308 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t226 @t75))))) % 1.11/1.34 (assume @p498 (forall @t313 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t312) (not @t87))))) % 1.11/1.34 (assume @p499 (forall @t114 (=> @t308 (=> @t562 @t311)))) % 1.11/1.34 (assume @p500 (forall @t365 (=> @t214 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t226 @t128) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t225 @t126) (tptp.c_Orderings_Oord__class_Oless @t22 @t228 (tptp.hAPP @t294 @t126))))))) % 1.11/1.34 (assume @p501 (forall @t426 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t509) (or @t649 @t588)))) % 1.11/1.34 (assume @p502 (forall @t463 (=> @t650 (= @t515 @t460)))) % 1.11/1.34 (assume @p503 (forall @t463 (=> @t650 (= @t651 @t607)))) % 1.11/1.34 (assume @p504 (forall @t426 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t425) (and @t649 @t588)))) % 1.11/1.34 (assume @p505 (forall @t463 (= @t651 @t652))) % 1.11/1.34 (assume @p506 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t518 @t517) @t652))) % 1.11/1.34 (assume @p507 (forall @t253 (=> @t606 (=> @t653 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t479 @t477))))) % 1.11/1.34 (assume @p508 (forall @t253 (=> @t606 (=> @t653 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t481 @t480))))) % 1.11/1.34 (assume @p509 (forall @t586 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t421 @t422)) @t607))) % 1.11/1.34 (assume @p510 (forall @t419 (=> @t603 (=> @t654 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t428 @t357))))) % 1.11/1.34 (assume @p511 (forall @t658 (=> @t657 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t656 @t655) @t604)))) % 1.11/1.34 (assume @p512 (forall @t545 (=> @t590 (=> @t660 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t659))))) % 1.11/1.34 (assume @p513 (forall (@list @t37 @t39 @t122) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t122) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t37) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t261 @t39) (tptp.hAPP @t261 @t37)))))) % 1.11/1.34 (assume @p514 (forall @t50 (=> @t28 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t74))))) % 1.11/1.34 (assume @p515 (forall @t540 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t537)))) % 1.11/1.34 (assume @p516 (forall @t374 (=> @t661 @t487))) % 1.11/1.34 (assume @p517 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t454 @t457) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t455 @t456)))) % 1.11/1.34 (assume @p518 (forall @t463 (=> @t503 (=> @t502 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t501 @t500) @t607))))) % 1.11/1.34 (assume @p519 (forall @t662 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t20) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t128 @t21) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t21 @t128) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t20 @t128)))))) % 1.11/1.34 (assume @p520 (forall (@list @t250 @t22) (=> @t214 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t250) (tptp.hAPP (tptp.hAPP @t43 @t250) (tptp.c_Groups_Osgn__class_Osgn @t22 @t250)))))) % 1.11/1.34 (assume @p521 (forall @t50 (=> @t214 (= (tptp.hAPP @t615 (tptp.c_Groups_Oabs__class_Oabs @t22 @t39)) @t39)))) % 1.11/1.34 (assume @p522 (forall @t507 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t585 @t74) @t506))) % 1.11/1.34 (assume @p523 (forall @t345 (=> @t219 (=> @t639 (= @t663 @t343))))) % 1.11/1.34 (assume @p524 (forall @t345 (=> @t219 (=> @t637 (= @t663 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t176 @t86)))))) % 1.11/1.34 (assume @p525 (forall @t132 (=> @t626 (=> @t574 (=> @t595 (=> @t631 @t665)))))) % 1.11/1.34 (assume @p526 (forall @t132 (=> @t626 (=> @t574 (=> @t595 (=> @t245 @t665)))))) % 1.11/1.34 (assume @p527 (forall @t132 (=> @t626 (=> @t574 (=> @t302 (=> @t245 (=> @t624 @t664))))))) % 1.11/1.34 (assume @p528 (forall @t132 (=> @t626 (=> @t161 (=> @t595 (=> @t562 @t665)))))) % 1.11/1.34 (assume @p529 (forall @t340 (=> @t668 @t667))) % 1.11/1.34 (assume @p530 (forall @t340 (=> @t626 @t667))) % 1.11/1.34 (assume @p531 (forall @t338 (=> @t668 @t669))) % 1.11/1.34 (assume @p532 (forall @t338 (=> @t626 @t669))) % 1.11/1.34 (assume @p533 (forall @t340 (=> @t626 (=> @t291 @t670)))) % 1.11/1.34 (assume @p534 (forall @t338 (=> @t626 (=> @t297 @t670)))) % 1.11/1.34 (assume @p535 (forall @t29 (=> @t355 (=> @t244 @t644)))) % 1.11/1.34 (assume @p536 (forall @t29 (=> @t355 (=> @t629 (=> @t242 @t643))))) % 1.11/1.34 (assume @p537 (forall @t163 (=> @t355 (=> @t245 @t642)))) % 1.11/1.34 (assume @p538 (forall @t163 (=> @t355 (=> @t562 (=> @t165 @t641))))) % 1.11/1.34 (assume @p539 (forall @t29 (=> @t355 (=> @t245 @t646)))) % 1.11/1.34 (assume @p540 (forall @t29 (=> @t355 (=> @t562 (=> @t243 @t645))))) % 1.11/1.34 (assume @p541 (forall @t172 (=> @t219 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t218) (or @t671 (not @t215)))))) % 1.11/1.34 (assume @p542 (forall @t48 (=> @t221 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t220 @t75))))) % 1.11/1.34 (assume @p543 (forall @t72 (=> @t303 (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t358)))) % 1.11/1.34 (assume @p544 (forall @t208 (=> @t207 (= @t672 (tptp.c_Orderings_Oord__class_Oless @t22 @t198 @t209))))) % 1.11/1.34 (assume @p545 (forall @t208 (=> @t207 (= @t672 (tptp.c_Orderings_Oord__class_Oless @t22 @t201 @t197))))) % 1.11/1.34 (assume @p546 (forall @t419 (=> @t438 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t428) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t620 @t557))))) % 1.11/1.34 (assume @p547 (forall @t619 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t557 @t39) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t618) (= @t537 @t673))))) % 1.11/1.34 (assume @p548 (forall (@list @t674 @t86 @t80 @t22) (=> @t214 (= (tptp.c_Orderings_Oord__class_Oless @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t80 @t86)) @t674) (and (tptp.c_Orderings_Oord__class_Oless @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t86 @t674) @t80) (tptp.c_Orderings_Oord__class_Oless @t22 @t80 (tptp.c_Groups_Oplus__class_Oplus @t22 @t86 @t674))))))) % 1.11/1.34 (assume @p549 (forall @t540 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t617 @t39)))) % 1.11/1.34 (assume @p550 (forall @t554 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t599 @t21) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t551)))) % 1.11/1.34 (assume @p551 (forall @t83 (=> @t28 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t82) @t671)))) % 1.11/1.34 (assume @p552 (forall @t554 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t552) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t537 @t21)))) % 1.11/1.34 (assume @p553 (forall @t678 (=> @t47 (=> @t677 (=> @t676 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t46 (tptp.hAPP (tptp.hAPP @t41 @t222) @t675))))))) % 1.11/1.34 (assume @p554 (forall @t658 (=> @t657 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t679 @t80) (tptp.hAPP @t679 @t166)) @t236)))) % 1.11/1.34 (assume @p555 (forall @t658 (=> @t657 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t656 @t655) @t236)))) % 1.11/1.34 (assume @p556 (forall @t463 (=> @t650 (= @t680 @t437)))) % 1.11/1.34 (assume @p557 (forall @t463 (= @t680 @t681))) % 1.11/1.34 (assume @p558 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t518 @t517) @t681))) % 1.11/1.34 (assume @p559 (forall @t691 (= @t690 (not (or (and @t689 @t688) (exists @t686 (and @t685 (not @t684)))))))) % 1.11/1.34 (assume @p560 (forall @t691 (= @t690 (and (=> @t689 @t687) (forall @t686 (=> @t685 @t684)))))) % 1.11/1.34 (assume @p561 (forall @t678 (=> @t28 (=> @t677 (=> @t676 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t117 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t222 @t675))))))) % 1.11/1.34 (assume @p562 (forall @t540 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t234 @t32) @t39)))) % 1.11/1.34 (assume @p563 (forall @t694 (=> @t693 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t86 @t548) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t692 @t80))))) % 1.11/1.34 (assume @p564 (forall @t694 (=> @t693 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t86) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t692))))) % 1.11/1.34 (assume @p565 (forall @t697 (=> @t696 (= (tptp.c_RComplete_Onatfloor @t695) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t542 @t21))))) % 1.11/1.34 (assume @p566 (forall @t697 (=> @t696 (= (tptp.c_RComplete_Onatceiling @t695) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t537 @t21))))) % 1.11/1.34 (assume @p567 (forall @t533 (=> @t532 (= @t698 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t531 @t421))))) % 1.11/1.34 (assume @p568 (forall @t526 (=> @t492 (= @t698 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t422 @t522))))) % 1.11/1.34 (assume @p569 (forall @t540 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 @t234)))) % 1.11/1.34 (assume @p570 (forall @t549 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t241)) @t238))) % 1.11/1.34 (assume @p571 (forall @t89 (=> @t214 (= (tptp.c_Polynomial_Opos__poly @t22 @t88) (or (tptp.c_Polynomial_Opos__poly @t22 @t84) (and @t85 @t559)))))) % 1.11/1.34 (assume @p572 (forall @t224 (=> @t700 (exists @t432 (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 @t429 @t367)) @t222) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t222 @t699)))))) % 1.11/1.34 (assume @p573 (forall @t281 (=> (= @t123 @t32) (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 @t122 @t543)) @t32) (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 @t122 @t543)) @t32) (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 @t122 tptp.c_Complex_Oii)) @t32) (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 @t122 tptp.c_Complex_Oii)) @t32))))) % 1.11/1.34 (assume @p574 (forall @t72 (=> @t47 (exists @t412 (and @t701 @t410))))) % 1.11/1.34 (assume @p575 (forall @t400 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t366)))) % 1.11/1.34 (assume @p576 (forall @t426 (= @t612 (or @t607 @t587)))) % 1.11/1.34 (assume @p577 (forall @t545 (=> @t571 (=> (not @t609) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t39))))) % 1.11/1.34 (assume @p578 (forall @t419 (=> @t702 @t610))) % 1.11/1.34 (assume @p579 (forall (@list @t703 @t675) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t675 @t703) (not (= @t675 @t703))))) % 1.11/1.34 (assume @p580 (forall (@list @t683 @t421 @t422) (=> (=> @t607 @t705) (=> (=> @t460 @t705) (=> (=> @t587 @t705) @t705))))) % 1.11/1.34 (assume @p581 (not (= tptp.c_Complex_Oii @t544))) % 1.11/1.34 (assume @p582 (not (= tptp.c_Complex_Oii @t543))) % 1.11/1.34 (assume @p583 (forall @t72 (=> @t214 (not (tptp.c_Polynomial_Opos__poly @t22 @t68))))) % 1.11/1.34 (assume @p584 (forall @t708 (=> @t214 (=> @t707 (=> @t706 (tptp.c_Polynomial_Opos__poly @t22 @t90)))))) % 1.11/1.34 (assume @p585 (forall @t708 (=> @t214 (=> @t707 (=> @t706 (tptp.c_Polynomial_Opos__poly @t22 @t61)))))) % 1.11/1.34 (assume @p586 (forall @t172 (=> @t214 (= (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t80 @t166) (or @t167 @t709))))) % 1.11/1.34 (assume @p587 (forall @t172 (=> @t214 (= (tptp.c_Orderings_Oord__class_Oless @t56 @t80 @t166) @t709)))) % 1.11/1.34 (assume @p588 (forall @t116 (=> @t47 (exists @t412 (and @t701 @t415))))) % 1.11/1.34 (assume @p589 (forall @t50 (=> @t47 (exists @t412 (and @t701 @t414))))) % 1.11/1.34 (assume @p590 (forall (@list @t53 @t122 @t278) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t278) (exists @t686 (and @t713 (forall (@list @t711) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t712) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t712 @t682)) (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 @t710 @t711) (tptp.hAPP @t710 @t122))) @t278)))))))) % 1.11/1.34 (assume @p591 (forall (@list @t53 @t222) (exists @t715 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t714) (forall @t36 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t222) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t710 @t33)) @t714))))))) % 1.11/1.34 (assume @p592 (forall @t721 (=> @t720 (=> @t719 (exists @t686 (and @t713 (forall @t718 (=> @t717 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t716) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t716 @t20)))))))))) % 1.11/1.34 (assume @p593 (forall (@list @t421 @t683) (=> @t688 (=> @t726 (exists @t436 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t434 @t421) (forall @t725 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t722 @t434) (not @t724))) (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t367))))))))) % 1.11/1.34 (assume @p594 (forall @t721 (=> @t720 (=> @t719 (exists @t686 (and @t713 (forall @t718 (=> @t717 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t716) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t716 @t20)))))))))) % 1.11/1.34 (assume @p595 (forall (@list @t728 @t727 @t22 @t145) (=> (and @t733 @t162) (=> (forall @t432 (=> @t732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t145 (tptp.c_Groups_Ominus__class_Ominus @t145 @t729 @t730)) @t32))) (forall @t432 (=> @t732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t731 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 (tptp.c_RealVector_Onorm__class_Onorm @t145 @t729))))))))) % 1.11/1.34 (assume @p596 (forall @t540 (=> @t590 (forall @t718 (exists @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t716 (tptp.hAPP @t734 @t39))))))) % 1.11/1.34 (assume @p597 (forall @t738 (=> @t150 (= (tptp.c_SEQ_Odecseq @t22 @t728) (forall @t737 (=> @t736 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t730 @t735))))))) % 1.11/1.34 (assume @p598 (forall @t558 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t740 @t39) @t32) (tptp.hAPP (tptp.hAPP @t739 @t538) @t366))))) % 1.11/1.34 (assume @p599 (forall @t738 (=> @t28 (= @t743 @t742)))) % 1.11/1.34 (assume @p600 (forall @t749 (=> @t73 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t748 @t744)))) % 1.11/1.34 (assume @p601 (forall (@list @t51 @t37 @t39 @t22) (=> @t71 (= (tptp.hAPP (tptp.hAPP @t745 @t45) @t51) (tptp.hAPP @t752 (tptp.hAPP @t750 @t51)))))) % 1.11/1.34 (assume @p602 (forall (@list @t39 @t366 @t53 @t22) (=> @t71 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t22 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t56) @t53) @t366)) @t39) (tptp.hAPP (tptp.hAPP @t745 @t55) @t366))))) % 1.11/1.34 (assume @p603 (forall @t749 (=> @t180 (= @t748 @t744)))) % 1.11/1.34 (assume @p604 (forall @t50 (=> @t71 (= (tptp.hAPP @t746 @t367) @t39)))) % 1.11/1.34 (assume @p605 (forall @t755 (=> @t71 (= (tptp.hAPP (tptp.hAPP @t745 @t754) @t51) (tptp.hAPP @t746 (tptp.hAPP @t753 @t51)))))) % 1.11/1.34 (assume @p606 (forall @t50 (=> @t71 (= (tptp.hAPP @t746 @t364) @t69)))) % 1.11/1.34 (assume @p607 (forall @t755 (=> @t71 (= (tptp.hAPP (tptp.hAPP @t43 @t754) @t751) (tptp.hAPP @t746 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t51)))))) % 1.11/1.34 (assume @p608 (forall (@list @t39 @t366 @t22) (=> @t353 (=> @t603 (= (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t746 @t756)) @t39) @t747))))) % 1.11/1.34 (assume @p609 (forall (@list @t357 @t366 @t22) (=> @t759 (and (=> @t520 (= @t758 @t69)) (=> @t601 (= @t758 (tptp.hAPP @t648 (tptp.hAPP @t757 @t756)))))))) % 1.11/1.34 (assume @p610 (forall @t765 (=> @t303 (=> @t574 (=> @t245 (=> @t603 @t764)))))) % 1.11/1.34 (assume @p611 (forall @t767 (=> @t303 (=> @t766 (=> @t603 (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t763)))))) % 1.11/1.34 (assume @p612 (forall @t772 (= @t771 (or @t768 @t506)))) % 1.11/1.34 (assume @p613 (forall (@list @t366 @t357 @t251) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t251) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t773 @t357) @t774) @t602)))) % 1.11/1.34 (assume @p614 (forall @t772 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 (tptp.hAPP (tptp.hAPP @t776 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t80)) @t421)) (or (not (= @t80 @t775)) @t506)))) % 1.11/1.34 (assume @p615 (forall @t280 (= (tptp.hAPP (tptp.hAPP @t776 @t778) @t122) (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP @t369 @t37) @t122))))) % 1.11/1.34 (assume @p616 (forall @t280 (= (tptp.hAPP @t777 @t444) (tptp.hAPP (tptp.hAPP @t779 @t778) (tptp.hAPP @t777 @t122))))) % 1.11/1.34 (assume @p617 (forall @t374 (= @t781 @t780))) % 1.11/1.34 (assume @p618 (forall @t374 (= @t780 @t781))) % 1.11/1.34 (assume @p619 (forall @t558 (=> (= @t39 @t617) (= (tptp.c_RComplete_Onatfloor @t782) (tptp.hAPP (tptp.hAPP @t769 @t542) @t366))))) % 1.11/1.34 (assume @p620 (forall (@list @t53 @t357) (and (=> @t372 (= @t784 @t367)) (=> @t373 (= @t784 (tptp.hAPP @t753 (tptp.hAPP @t783 @t368))))))) % 1.11/1.34 (assume @p621 (forall @t767 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t22) (=> @t270 (not (= @t763 @t75)))))) % 1.11/1.34 (assume @p622 (forall @t767 (=> @t353 (= @t787 @t785)))) % 1.11/1.34 (assume @p623 (forall @t765 (=> @t352 (= (tptp.hAPP (tptp.hAPP @t745 @t103) @t366) (tptp.hAPP @t786 @t761))))) % 1.11/1.34 (assume @p624 (forall @t788 (=> @t353 (= (tptp.hAPP (tptp.hAPP @t745 @t69) @t366) @t69)))) % 1.11/1.34 (assume @p625 (forall @t790 (=> @t353 (= (tptp.hAPP @t762 @t371) (tptp.hAPP (tptp.hAPP @t745 @t789) @t366))))) % 1.11/1.34 (assume @p626 (forall @t767 (=> @t214 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t763) @t791)))) % 1.11/1.34 (assume @p627 (forall @t114 (=> @t353 (= (tptp.hAPP @t762 @t367) @t21)))) % 1.11/1.34 (assume @p628 (forall @t765 (=> @t303 (=> @t161 (=> @t245 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t763 @t761)))))) % 1.11/1.34 (assume @p629 (forall @t767 (=> @t303 (=> @t245 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t763))))) % 1.11/1.34 (assume @p630 (forall @t767 (=> @t303 (=> @t562 (tptp.c_Orderings_Oord__class_Oless @t22 @t75 @t763))))) % 1.11/1.34 (assume @p631 (forall @t767 (=> @t303 (=> @t792 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t69 @t763))))) % 1.11/1.34 (assume @p632 (forall (@list @t421 @t86 @t22) (=> (and @t759 @t263 @t271 @t272) (= (= @t794 @t75) (and @t87 @t600))))) % 1.11/1.34 (assume @p633 (forall (@list @t421 @t422 @t86 @t22) (=> @t303 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t86) (= (= (tptp.hAPP @t793 @t422) @t794) @t460))))) % 1.11/1.34 (assume @p634 (forall @t114 (=> @t759 (= (tptp.hAPP @t762 @t364) @t69)))) % 1.11/1.34 (assume @p635 (forall @t790 (=> @t353 (= (tptp.hAPP @t762 @t418) (tptp.hAPP (tptp.hAPP @t43 @t789) @t763))))) % 1.11/1.34 (assume @p636 (forall @t795 (=> @t303 (=> @t764 (=> @t243 @t574))))) % 1.11/1.34 (assume @p637 (forall @t767 (=> @t303 (=> @t766 (tptp.c_Orderings_Oord__class_Oless @t22 @t763 @t785))))) % 1.11/1.34 (assume @p638 (forall @t767 (=> @t303 (=> @t766 (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t785))))) % 1.11/1.34 (assume @p639 (forall @t788 (=> @t798 (and (=> @t520 (= @t797 @t69)) (=> @t601 (= @t797 @t75)))))) % 1.11/1.34 (assume @p640 (forall @t767 (=> @t214 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t791)))) % 1.11/1.34 (assume @p641 (forall @t803 (=> @t303 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t801 @t800) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t80 @t166)))))) % 1.11/1.34 (assume @p642 (forall @t790 (=> @t303 (=> @t766 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t789 @t763) @t602))))) % 1.11/1.34 (assume @p643 (forall @t807 (=> @t303 (=> @t806 (=> @t766 (tptp.c_Orderings_Oord__class_Oless @t22 @t763 @t805)))))) % 1.11/1.34 (assume @p644 (forall @t807 (=> @t303 (=> @t808 (=> @t792 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t763 @t805)))))) % 1.11/1.34 (assume @p645 (forall @t767 (=> @t303 (=> @t562 (=> @t809 (tptp.c_Orderings_Oord__class_Oless @t22 @t785 @t763)))))) % 1.11/1.34 (assume @p646 (forall @t807 (=> @t303 (=> @t806 (=> @t562 (=> @t809 (tptp.c_Orderings_Oord__class_Oless @t22 @t805 @t763))))))) % 1.11/1.34 (assume @p647 (forall @t795 (=> @t303 (=> (= @t763 @t761) (=> @t245 (=> @t243 (=> @t603 @t164))))))) % 1.11/1.34 (assume @p648 (forall @t807 (=> @t303 (=> @t808 (=> @t245 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t21 @t69) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t805 @t763))))))) % 1.11/1.34 (assume @p649 (forall @t803 (=> @t303 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t801 @t800) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t80 @t166)))))) % 1.11/1.34 (assume @p650 (forall @t790 (=> @t303 (=> @t766 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t789 @t763) @t439))))) % 1.11/1.34 (assume @p651 (forall (@list @t366 @t20) (=> (not (= @t20 @t544)) (=> @t601 (exists @t36 (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 @t543 (tptp.hAPP (tptp.hAPP @t14 @t20) (tptp.hAPP (tptp.hAPP @t810 @t33) @t366)))) @t32)))))) % 1.11/1.34 (assume @p652 (forall @t72 (=> @t759 (= @t745 (tptp.c_Power_Opower_Opower @t22 @t69 @t43))))) % 1.11/1.34 (assume @p653 (forall @t772 (= @t771 (or @t506 @t768)))) % 1.11/1.34 (assume @p654 (forall @t558 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 (tptp.hAPP (tptp.hAPP @t776 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t39)) @t366)))) % 1.11/1.34 (assume @p655 (forall @t812 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t397) @t811) (= @t397 @t775)))) % 1.11/1.34 (assume @p656 (forall @t253 (=> @t815 (=> @t814 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t813 @t251) (tptp.hAPP @t813 @t252)))))) % 1.11/1.34 (assume @p657 (forall @t426 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t422) (= (= (tptp.hAPP (tptp.hAPP @t779 @t422) @t421) @t811) (and (= @t422 @t811) (= @t421 @t811)))))) % 1.11/1.34 (assume @p658 (forall @t281 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t122) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t816)))) % 1.11/1.34 (assume @p659 (forall @t812 (= (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 @t811 @t397) @t397) @t775) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t397 @t775)))) % 1.11/1.34 (assume @p660 (forall @t433 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t430 @t431) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t430 @t431) @t775)))) % 1.11/1.34 (assume @p661 (forall @t812 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t397) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t397)))) % 1.11/1.34 (assume @p662 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t811)) % 1.11/1.34 (assume @p663 (forall (@list @t398 @t397) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t397 @t398) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t397 @t398) (not (= @t397 @t398)))))) % 1.11/1.34 (assume @p664 (forall @t818 (= @t817 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t398 @t397)))) % 1.11/1.34 (assume @p665 (forall @t818 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t398 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t397 @t811)) @t819))) % 1.11/1.34 (assume @p666 (forall @t818 (= @t817 (or @t819 (= @t398 @t397))))) % 1.11/1.34 (assume @p667 (forall @t818 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t398 @t811) @t397) @t819))) % 1.11/1.34 (assume @p668 (forall @t125 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 @t122) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t811) @t122)))) % 1.11/1.34 (assume @p669 (forall @t253 (=> @t815 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t251 @t250) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t252 @t250))))) % 1.11/1.34 (assume @p670 (forall (@list @t122 @t821 @t124 @t822) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t822 @t124) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t122) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t822 @t821) @t820))))) % 1.11/1.34 (assume @p671 (forall @t545 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 @t37) @t152 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t39)))) % 1.11/1.34 (assume @p672 (forall @t281 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t122 @t775) @t122))) % 1.11/1.34 (assume @p673 (forall @t281 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t775 @t122) @t122))) % 1.11/1.34 (assume @p674 (forall @t281 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t816 @t122) @t775)))) % 1.11/1.34 (assume @p675 (not (= @t775 @t811))) % 1.11/1.34 (assume @p676 (forall @t281 (= (tptp.hAPP (tptp.hAPP @t779 @t811) @t122) @t122))) % 1.11/1.34 (assume @p677 (forall @t281 (= (tptp.hAPP @t823 @t811) @t122))) % 1.11/1.34 (assume @p678 (forall @t374 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t779 @t357) @t366)) @t811) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t357) @t811)))) % 1.11/1.34 (assume @p679 (forall @t249 (= (tptp.hAPP @t823 @t124) (tptp.hAPP @t824 @t122)))) % 1.11/1.34 (assume @p680 (forall @t260 (= (tptp.hAPP (tptp.hAPP @t779 (tptp.hAPP @t826 @t256)) @t255) (tptp.hAPP @t826 (tptp.hAPP @t825 @t255))))) % 1.11/1.34 (assume @p681 (forall @t282 (= (tptp.hAPP (tptp.hAPP @t779 @t829) @t124) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t828 @t827)))) % 1.11/1.34 (assume @p682 (forall @t832 (= (tptp.hAPP @t824 @t829) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t831 @t830)))) % 1.11/1.34 (assume @p683 (forall @t282 (= (tptp.hAPP (tptp.hAPP @t779 @t833) @t124) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t828 @t827)))) % 1.11/1.34 (assume @p684 (forall @t832 (= (tptp.hAPP @t824 @t833) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t831 @t830)))) % 1.11/1.34 (assume @p685 (forall (@list @t86 @t835 @t834 @t22) (= (tptp.hAPP @t836 @t364) @t834))) % 1.11/1.34 (assume @p686 (forall (@list @t39 @t122 @t126) (=> @t838 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 @t837))))) % 1.11/1.34 (assume @p687 (forall (@list @t122 @t39 @t126) (=> @t838 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t39 @t837) @t122)))) % 1.11/1.34 (assume @p688 (forall @t851 (=> @t850 (=> @t847 (=> @t845 (=> @t844 (=> @t842 (=> @t841 @t840)))))))) % 1.11/1.34 (assume @p689 (forall @t249 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t122 @t124) @t820))) % 1.11/1.34 (assume @p690 (forall @t280 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 @t122)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 @t122))))) % 1.11/1.34 (assume @p691 (forall @t260 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t829 @t255) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t258 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t256 @t255))))) % 1.11/1.34 (assume @p692 (forall @t249 (=> @t853 (=> @t852 @t254)))) % 1.11/1.34 (assume @p693 (forall @t253 (=> @t854 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t252 @t250) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t251 @t250))))) % 1.11/1.34 (assume @p694 (forall @t253 (=> @t854 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t250 @t251) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t250 @t252))))) % 1.11/1.34 (assume @p695 (forall @t249 (or @t853 @t852))) % 1.11/1.34 (assume @p696 (forall @t246 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t124))) % 1.11/1.34 (assume @p697 (forall @t859 (=> @t858 (=> @t857 (=> @t855 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t811)))))) % 1.11/1.34 (assume @p698 (forall @t859 (=> @t858 (=> @t857 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t222 @t21) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t51)))))) % 1.11/1.34 (assume @p699 (forall @t862 (=> @t861 (=> @t860 (=> @t842 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t839)))))) % 1.11/1.34 (assume @p700 (forall @t862 (=> @t847 (=> @t844 (=> @t842 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t775)))))) % 1.11/1.34 (assume @p701 (forall @t864 (=> @t863 (=> @t844 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t843 @t20) (=> @t845 @t840)))))) % 1.11/1.34 (assume @p702 (forall @t851 (=> @t850 (=> @t861 (=> @t860 (=> @t855 (=> @t842 (=> @t841 @t865)))))))) % 1.11/1.34 (assume @p703 (forall @t864 (=> @t863 (=> @t867 (=> @t866 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t843) @t865)))))) % 1.11/1.34 (assume @p704 (forall @t558 (=> @t868 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 (tptp.hAPP @t777 @t366))))) % 1.11/1.34 (assume @p705 (forall @t545 (=> @t868 (=> @t869 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 (tptp.hAPP (tptp.hAPP @t779 @t39) @t37)))))) % 1.11/1.34 (assume @p706 (forall @t545 (=> @t868 (=> @t869 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 @t37)))))) % 1.11/1.34 (assume @p707 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t775)) % 1.11/1.34 (assume @p708 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t811)) % 1.11/1.34 (assume @p709 (forall @t874 (and @t873 (=> (not @t871) (= @t870 @t775))))) % 1.11/1.34 (assume @p710 (forall (@list @t366 @t21 @t222) (= (tptp.hAPP (tptp.hAPP @t810 @t876) @t366) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t739 @t222) @t366) @t875)))) % 1.11/1.34 (assume @p711 (forall @t738 (=> @t28 (=> @t743 @t742)))) % 1.11/1.34 (assume @p712 (forall (@list @t21 @t222) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t876) @t223))) % 1.11/1.34 (assume @p713 (forall @t877 (= (tptp.c_Complex_Orcis @t74 @t21) @t544))) % 1.11/1.34 (assume @p714 (forall @t545 (=> @t868 (=> @t869 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t870))))) % 1.11/1.34 (assume @p715 (forall (@list @t20 @t878 @t21 @t879) (= (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Complex_Orcis @t879 @t21)) (tptp.c_Complex_Orcis @t878 @t20)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t41 @t879) @t878) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t20))))) % 1.11/1.34 (assume @p716 (forall @t874 @t873)) % 1.11/1.34 (assume @p717 (forall (@list @t728 @t880 @t22) (=> @t28 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t880) (=> (forall @t432 @t881) @t743))))) % 1.11/1.34 (assume @p718 (forall @t887 (=> @t886 (=> (forall @t6 (=> @t884 (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t197))))) (=> @t885 (forall @t6 (=> @t884 (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t883)))))))))) % 1.11/1.34 (assume @p719 (forall @t887 (=> @t886 (=> (forall @t6 (=> @t884 (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t197))))) (=> @t885 (forall @t6 (=> @t884 (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t883)))))))))) % 1.11/1.34 (assume @p720 (forall @t889 (=> @t603 (=> @t888 (exists @t184 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t182) (= (tptp.hAPP (tptp.hAPP @t739 @t182) @t366) @t21))))))) % 1.11/1.34 (assume @p721 (forall @t889 (=> @t603 (=> @t888 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t3) (= (tptp.hAPP (tptp.hAPP @t739 @t3) @t366) @t21) (forall @t718 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t716) (= (tptp.hAPP (tptp.hAPP @t739 @t716) @t366) @t21)) (= @t716 @t3))))))))) % 1.11/1.34 (assume @p722 (forall @t558 (=> @t590 (= (tptp.c_Transcendental_Oln @t782) (tptp.hAPP @t740 @t890))))) % 1.11/1.34 (assume @p723 (forall @t540 (=> @t590 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t890 @t39)))) % 1.11/1.34 (assume @p724 (forall @t237 (=> @t894 (=> @t893 (= (= @t892 @t891) @t167))))) % 1.11/1.34 (assume @p725 (forall @t237 (=> @t894 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t892 @t891) @t604))))) % 1.11/1.34 (assume @p726 (= (tptp.c_Transcendental_Oln @t32) @t74)) % 1.11/1.34 (assume @p727 (forall @t237 (=> @t894 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t892 @t891) @t236))))) % 1.11/1.34 (assume @p728 (forall @t540 (=> @t896 @t895))) % 1.11/1.34 (assume @p729 (forall @t540 (=> @t898 (=> @t590 @t897)))) % 1.11/1.34 (assume @p730 (forall @t540 (=> @t590 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t32) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t890 @t74))))) % 1.11/1.34 (assume @p731 (forall @t549 (=> @t894 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t892 @t74) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t80 @t32))))) % 1.11/1.34 (assume @p732 (forall @t549 (=> @t894 (= (= @t892 @t74) (= @t80 @t32))))) % 1.11/1.34 (assume @p733 (forall @t549 (=> @t894 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t892) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t80))))) % 1.11/1.34 (assume @p734 (forall @t540 (=> @t897 @t898))) % 1.11/1.34 (assume @p735 (forall @t549 (=> @t894 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t892) @t547)))) % 1.11/1.34 (assume @p736 (forall @t540 (=> @t895 (=> @t590 @t896)))) % 1.11/1.34 (assume @p737 (forall @t545 (=> @t590 (=> @t660 (= (tptp.c_Transcendental_Oln @t659) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t890 (tptp.c_Transcendental_Oln @t37))))))) % 1.11/1.34 (assume @p738 (forall @t540 (=> @t539 (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 @t32 @t39)) @t39)))) % 1.11/1.34 (assume @p739 (forall @t738 (=> @t150 (= (tptp.c_SEQ_Oincseq @t22 @t728) (forall @t737 (=> @t736 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t735 @t730))))))) % 1.11/1.34 (assume @p740 (forall (@list @t430 @t2 @t421) (=> (forall @t725 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t722 @t421) (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 @t722 @t367)) @t899)) @t811))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t2 @t364) @t430) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t430 (tptp.hAPP @t2 @t421)) (exists @t725 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t722 @t421) (= @t899 @t430)))))))) % 1.11/1.34 (assume @p741 (forall (@list @t880 @t728 @t900 @t22) (=> @t28 (=> (forall @t432 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t900 @t429) @t881)) @t743)))) % 1.11/1.34 (assume @p742 (forall @t905 (=> @t733 (= @t904 (exists @t903 (forall @t432 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t731 @t902))))))) % 1.11/1.34 (assume @p743 (forall @t905 (=> @t733 (= @t904 (exists @t903 (forall @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t731 @t902))))))) % 1.11/1.34 (assume @p744 (forall @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t906))) % 1.11/1.34 (assume @p745 (forall @t374 (=> @t602 @t908))) % 1.11/1.34 (assume @p746 (forall @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t906))) % 1.11/1.34 (assume @p747 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t769 @t909) @t366) @t909))) % 1.11/1.34 (assume @p748 (forall (@list @t422 @t80) (= (= (tptp.hAPP @t770 @t422) @t909) (or @t508 (= @t80 @t909))))) % 1.11/1.34 (assume @p749 (forall @t419 (=> @t438 (= @t910 (tptp.c_Nat_OSuc @t428))))) % 1.11/1.34 (assume @p750 (forall @t400 (= @t906 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t367 @t366)))) % 1.11/1.34 (assume @p751 (forall @t400 (= @t906 @t673))) % 1.11/1.34 (assume @p752 (forall @t374 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t906) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t368 @t366)))) % 1.11/1.34 (assume @p753 (forall @t400 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t906 @t367) @t366))) % 1.11/1.34 (assume @p754 (forall (@list @t421 @t86 @t835 @t834 @t22) (= (tptp.hAPP @t836 @t911) (tptp.hAPP (tptp.hAPP @t835 @t86) (tptp.hAPP @t836 @t421))))) % 1.11/1.34 (assume @p755 (forall @t426 (= (not @t607) @t913))) % 1.11/1.34 (assume @p756 (forall @t426 (= @t914 @t611))) % 1.11/1.34 (assume @p757 (forall @t426 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t912 @t911) @t607))) % 1.11/1.34 (assume @p758 (forall @t586 (=> (not @t587) @t915))) % 1.11/1.34 (assume @p759 (forall @t419 (=> (not @t702) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t907) @t469)))) % 1.11/1.34 (assume @p760 (forall @t374 (=> @t602 @t916))) % 1.11/1.34 (assume @p761 (forall @t374 (=> @t602 (=> (not (= @t907 @t366)) @t917)))) % 1.11/1.34 (assume @p762 (forall @t253 (=> @t606 (=> @t613 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t918 @t250))))) % 1.11/1.34 (assume @p763 (forall @t374 (=> @t916 (=> @t661 @t469)))) % 1.11/1.34 (assume @p764 (forall @t374 (=> @t917 @t602))) % 1.11/1.34 (assume @p765 (forall @t374 (=> @t908 @t602))) % 1.11/1.34 (assume @p766 (forall @t463 (= (= @t921 @t920) @t460))) % 1.11/1.34 (assume @p767 (forall @t417 (not (= @t364 @t907)))) % 1.11/1.34 (assume @p768 (forall (@list @t922) (not (= @t364 (tptp.c_Nat_OSuc @t922))))) % 1.11/1.34 (assume @p769 (forall @t417 (not (= @t907 @t364)))) % 1.11/1.34 (assume @p770 (forall (@list @t923) (not (= (tptp.c_Nat_OSuc @t923) @t364)))) % 1.11/1.34 (assume @p771 (forall @t400 (not (= @t366 @t906)))) % 1.11/1.34 (assume @p772 (forall @t400 (not (= @t906 @t366)))) % 1.11/1.34 (assume @p773 (forall (@list @t924 @t925) (= (= (tptp.c_Nat_OSuc @t925) (tptp.c_Nat_OSuc @t924)) (= @t925 @t924)))) % 1.11/1.34 (assume @p774 (forall @t545 (=> (= (tptp.c_Nat_OSuc @t39) (tptp.c_Nat_OSuc @t37)) @t152))) % 1.11/1.34 (assume @p775 (forall @t463 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t921 @t920) @t437))) % 1.11/1.34 (assume @p776 (forall @t374 (= (tptp.hAPP @t370 @t906) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t371)))) % 1.11/1.34 (assume @p777 (forall @t374 (= (tptp.hAPP (tptp.hAPP @t369 @t907) @t366) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t366 @t371)))) % 1.11/1.34 (assume @p778 (forall @t374 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t428 @t907))) % 1.11/1.34 (assume @p779 (forall @t463 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t921 @t920) @t607))) % 1.11/1.34 (assume @p780 (= @t367 @t909)) % 1.11/1.34 (assume @p781 (forall @t374 (=> @t926 @t602))) % 1.11/1.34 (assume @p782 (forall @t426 (=> @t437 @t915))) % 1.11/1.34 (assume @p783 (forall @t374 (=> @t602 @t926))) % 1.11/1.34 (assume @p784 (forall @t374 (=> @t439 @t916))) % 1.11/1.34 (assume @p785 (forall @t426 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t912 @t421) @t607))) % 1.11/1.34 (assume @p786 (forall @t426 (= @t914 @t437))) % 1.11/1.34 (assume @p787 (forall @t586 (= @t587 @t927))) % 1.11/1.34 (assume @p788 (forall @t426 (= @t607 (exists @t436 (= @t421 (tptp.c_Nat_OSuc @t435)))))) % 1.11/1.34 (assume @p789 (forall @t928 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t251 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t251))))) % 1.11/1.34 (assume @p790 (forall @t928 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t251 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t357))))) % 1.11/1.34 (assume @p791 (forall @t426 (= (= @t425 @t909) (and @t930 @t929)))) % 1.11/1.34 (assume @p792 (forall @t426 (= (= @t509 @t909) @t931))) % 1.11/1.34 (assume @p793 (forall @t426 (= (= @t909 @t509) @t931))) % 1.11/1.34 (assume @p794 (forall @t540 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t932) (or (= @t39 @t364) (= @t39 @t909))))) % 1.11/1.34 (assume @p795 (forall @t507 (= @t588 (exists @t715 (= @t421 (tptp.c_Nat_OSuc @t714)))))) % 1.11/1.34 (assume @p796 (forall @t507 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t421 @t909) @t506))) % 1.11/1.34 (assume @p797 (forall @t426 (= @t914 (or @t508 (exists @t934 (and (= @t422 (tptp.c_Nat_OSuc @t933)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t933 @t421))))))) % 1.11/1.34 (assume @p798 (forall @t936 (=> @t71 (= (tptp.hAPP @t752 @t39) @t935)))) % 1.11/1.34 (assume @p799 (forall @t936 (=> @t71 (= @t937 @t935)))) % 1.11/1.34 (assume @p800 (forall @t936 (=> @t71 (= @t935 @t937)))) % 1.11/1.34 (assume @p801 (forall @t767 (=> @t353 (= @t938 @t787)))) % 1.11/1.34 (assume @p802 (forall @t767 (=> @t759 (= @t938 @t785)))) % 1.11/1.34 (assume @p803 (forall @t788 (=> @t798 (= (tptp.hAPP @t796 @t906) @t75)))) % 1.11/1.34 (assume @p804 (forall @t400 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t906 @t366)))) % 1.11/1.34 (assume @p805 (forall @t426 (= (not @t437) @t927))) % 1.11/1.34 (assume @p806 (forall @t426 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t422 @t911) (or @t437 (= @t422 @t911))))) % 1.11/1.34 (assume @p807 (forall @t586 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t911 @t912) @t616))) % 1.11/1.34 (assume @p808 (forall @t374 (=> @t439 @t939))) % 1.11/1.34 (assume @p809 (forall @t374 (=> @t939 (=> (not @t439) (= @t357 @t906))))) % 1.11/1.34 (assume @p810 (forall @t374 (=> @t926 @t439))) % 1.11/1.34 (assume @p811 (forall @t374 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t907 @t906) @t428))) % 1.11/1.34 (assume @p812 (forall @t450 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t910 (tptp.c_Nat_OSuc @t250)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t428 @t250)))) % 1.11/1.34 (assume @p813 (forall @t374 (= @t941 @t940))) % 1.11/1.34 (assume @p814 (forall @t374 (= @t941 @t942))) % 1.11/1.34 (assume @p815 (forall @t374 (= @t940 @t942))) % 1.11/1.34 (assume @p816 (forall @t795 (=> @t303 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t938 @t943) (=> @t243 @t161))))) % 1.11/1.34 (assume @p817 (forall @t795 (=> @t303 (=> (= @t938 @t943) (=> @t245 (=> @t243 @t164)))))) % 1.11/1.34 (assume @p818 (forall @t767 (=> @t303 (=> @t766 (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t938))))) % 1.11/1.34 (assume @p819 (forall @t419 (=> @t945 (=> @t944 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t909 @t371))))) % 1.11/1.34 (assume @p820 (forall @t419 (=> @t945 (=> @t944 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t505))))) % 1.11/1.34 (assume @p821 (forall @t419 (=> @t945 (=> @t944 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t366 @t371))))) % 1.11/1.34 (assume @p822 (forall (@list @t251 @t366) (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t918) @t366)))) % 1.11/1.34 (assume @p823 (forall @t400 (=> @t603 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t909)) @t366)))) % 1.11/1.34 (assume @p824 (forall @t426 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t909 @t425) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t909 @t422) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t909 @t421))))) % 1.11/1.34 (assume @p825 (forall @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t946))) % 1.11/1.34 (assume @p826 (forall @t949 (=> @t442 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t948 @t357) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t947 @t466))))) % 1.11/1.34 (assume @p827 (forall @t949 (=> @t442 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t948) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t467 @t947))))) % 1.11/1.34 (assume @p828 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t909) @t32)) % 1.11/1.34 (assume @p829 (forall @t400 (= @t946 @t618))) % 1.11/1.34 (assume @p830 (forall @t486 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t909 @t251) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t909 @t774)))) % 1.11/1.34 (assume @p831 (forall (@list @t366 @t222 @t22) (=> @t303 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t75 @t222) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t222 @t69) (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.hAPP (tptp.hAPP @t745 @t222) @t906) @t222)))))) % 1.11/1.34 (assume @p832 (forall @t767 (=> @t303 (=> @t562 (=> @t809 (tptp.c_Orderings_Oord__class_Oless @t22 @t938 @t69)))))) % 1.11/1.34 (assume @p833 (forall (@list @t37 @t366 @t53 @t22) (=> @t353 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t366) (= (tptp.hAPP @t750 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t906 @t53)) (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t750 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t366 @t53))) @t37)))))) % 1.11/1.34 (assume @p834 (forall @t400 (=> @t603 (= @t366 @t950)))) % 1.11/1.34 (assume @p835 (forall @t400 (=> @t603 (= @t950 @t366)))) % 1.11/1.34 (assume @p836 (forall @t374 (and (=> @t372 (= @t418 @t366)) (=> @t373 (= @t418 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t368 @t366))))))) % 1.11/1.34 (assume @p837 (forall @t738 (=> @t28 (= @t743 (exists @t903 (forall @t432 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t741 @t902))))))) % 1.11/1.34 (assume @p838 (forall @t738 (=> @t28 (= @t743 (exists @t903 (forall @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t741 @t902))))))) % 1.11/1.34 (assume @p839 (forall @t48 (=> (tptp.class_Rings_Ocomm__ring__1 @t22) (= (tptp.c_Groups_Ominus__class_Ominus @t22 (tptp.hAPP @t746 @t932) (tptp.hAPP @t750 @t932)) (tptp.hAPP @t179 @t97))))) % 1.11/1.34 (assume @p840 (forall @t874 (=> @t660 (=> @t539 (exists @t432 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t734 @t37) @t39) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 (tptp.hAPP (tptp.hAPP @t41 @t951) @t37)))))))) % 1.11/1.34 (assume @p841 (forall @t953 (=> @t654 (=> @t814 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t952 @t357) @t250) (tptp.hAPP @t952 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t909))))))) % 1.11/1.34 (assume @p842 (forall @t957 (=> @t956 (= @t955 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 @t775))))) % 1.11/1.34 (assume @p843 (forall @t957 (=> @t958 (= @t955 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t86))))) % 1.11/1.34 (assume @p844 (forall @t541 (=> @t961 (=> @t960 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t959 @t775))))) % 1.11/1.34 (assume @p845 (forall @t545 (=> @t868 (=> @t869 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t39 @t37)))))) % 1.11/1.34 (assume @p846 (forall @t877 (=> (not (= @t21 @t775)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t21) @t811)))) % 1.11/1.34 (assume @p847 (forall @t962 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t775 @t20) @t775))) % 1.11/1.34 (assume @p848 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t21 @t75) @t75)))) % 1.11/1.34 (assume @p849 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t75 @t21) @t75)))) % 1.11/1.34 (assume @p850 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t21 @t69) @t21)))) % 1.11/1.34 (assume @p851 (forall @t114 (=> @t963 (=> @t270 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t21 @t21) @t69))))) % 1.11/1.34 (assume @p852 (forall @t338 (=> @t963 @t968))) % 1.11/1.34 (assume @p853 (forall @t338 (=> @t963 (=> @t967 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t275 @t274) @t964))))) % 1.11/1.34 (assume @p854 (forall @t575 (=> @t963 (=> @t268 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t290 @t20) @t21))))) % 1.11/1.34 (assume @p855 (forall @t575 (=> @t963 (=> @t268 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t103 @t20) @t21))))) % 1.11/1.34 (assume @p856 (forall @t338 (=> @t963 (and (=> @t966 (= @t965 @t75)) @t968)))) % 1.11/1.34 (assume @p857 (forall (@list @t430 @t454) (= (= @t970 @t775) (or @t969 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t454) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t454 @t430)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t454 @t775) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t430 @t454)))))) % 1.11/1.34 (assume @p858 (forall @t957 (=> @t956 (= @t972 @t971)))) % 1.11/1.34 (assume @p859 (forall (@list @t454 @t430) (=> @t973 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t970) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t430 @t454))))) % 1.11/1.34 (assume @p860 (forall (@list @t176 @t86) (=> @t971 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t954) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t176 @t86) @t956))))) % 1.11/1.34 (assume @p861 (forall @t976 (=> @t975 (=> @t842 (=> @t841 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t959 @t974)))))) % 1.11/1.34 (assume @p862 (forall @t541 (=> @t975 (=> @t978 @t977)))) % 1.11/1.34 (assume @p863 (forall @t541 (=> @t975 (=> @t980 @t979)))) % 1.11/1.34 (assume @p864 (forall @t957 (=> @t958 (= @t972 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t86 @t775))))) % 1.11/1.34 (assume @p865 (forall @t541 (=> @t981 (=> @t960 @t977)))) % 1.11/1.34 (assume @p866 (forall @t976 (=> @t961 (=> @t842 (=> @t841 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t974 @t959)))))) % 1.11/1.34 (assume @p867 (forall @t541 (=> @t981 (=> @t982 @t979)))) % 1.11/1.34 (assume @p868 (forall @t985 (=> @t984 (=> @t960 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t959 @t983))))) % 1.11/1.34 (assume @p869 (forall @t985 (=> @t984 (=> @t978 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t983 @t959))))) % 1.11/1.34 (assume @p870 (forall (@list @t250 @t39) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t775 @t39) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t250) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t39 @t250) @t39))))) % 1.11/1.34 (assume @p871 (forall @t988 (=> @t987 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t986) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t959 @t128))))) % 1.11/1.34 (assume @p872 (forall @t159 (=> @t963 (=> @t268 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t990 @t20) @t989))))) % 1.11/1.34 (assume @p873 (forall @t159 (=> @t963 (=> @t268 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t991 @t20) @t989))))) % 1.11/1.34 (assume @p874 (forall @t575 (=> @t963 (=> @t268 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t91 @t20) @t992))))) % 1.11/1.34 (assume @p875 (forall @t575 (=> @t963 (=> @t268 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t326 @t20) @t992))))) % 1.11/1.34 (assume @p876 (forall @t998 (= (tptp.hBOOL @t997) (and (=> @t969 (tptp.hBOOL (tptp.hAPP @t683 @t775))) (=> @t973 (forall @t725 (=> (exists @t934 @t996) @t724))) (=> @t995 (forall @t725 (=> (exists @t934 @t994) @t724))))))) % 1.11/1.34 (assume @p877 (forall (@list @t1002 @t37 @t999 @t1000) (=> (= @t1000 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1005 @t37) @t1002)) (=> (and (=> @t1003 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t1002) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1002 @t999))) (=> @t1004 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t999 @t1002) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1002 @t775)))) (=> @t1001 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1000 @t999) @t37)))))) % 1.11/1.34 (assume @p878 (forall @t224 (=> @t700 (exists @t432 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t699 @t222) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t222 @t951)))))) % 1.11/1.34 (assume @p879 (forall @t1010 (=> @t995 (= @t1009 (forall @t1007 (=> @t994 @t1006)))))) % 1.11/1.34 (assume @p880 (forall @t417 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t357 @t909) @t357))) % 1.11/1.34 (assume @p881 (forall @t374 @t1012)) % 1.11/1.34 (assume @p882 (forall @t877 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t775) @t775) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t775) @t21)))) % 1.11/1.34 (assume @p883 (forall @t29 (=> @t963 (= (tptp.c_Divides_Odiv__class_Odiv @t22 @t1013 @t20) @t75)))) % 1.11/1.34 (assume @p884 (forall @t541 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1014 @t20) @t775))) % 1.11/1.34 (assume @p885 (forall @t29 (=> @t963 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t1013 @t1015) @t21)))) % 1.11/1.34 (assume @p886 (forall @t575 (=> @t963 (= @t1016 @t21)))) % 1.11/1.34 (assume @p887 (forall @t29 (=> @t963 (= @t1017 @t21)))) % 1.11/1.34 (assume @p888 (forall @t159 (=> @t963 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t1016 @t128) @t323)))) % 1.11/1.34 (assume @p889 (forall @t163 (=> @t963 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t1017 @t128) @t323)))) % 1.11/1.34 (assume @p890 (forall @t662 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t21 @t1020) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1018 @t128)))) % 1.11/1.34 (assume @p891 (forall @t662 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1023 @t128) (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 @t21 @t128) @t1022) (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 @t21 @t128) @t1021) @t128))))) % 1.11/1.34 (assume @p892 (forall @t450 (=> @t439 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t357 @t250) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t366 @t250))))) % 1.11/1.34 (assume @p893 (forall @t374 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1011 @t357))) % 1.11/1.34 (assume @p894 (forall @t448 (and (=> @t1026 (= @t1024 @t364)) (=> (not @t1026) @t1025)))) % 1.11/1.34 (assume @p895 (forall @t155 (=> @t1030 (= (tptp.c_Divides_Odiv__class_Odiv @t56 @t39 @t1029) (tptp.c_Divides_Odiv__class_Odiv @t56 @t1027 @t122))))) % 1.11/1.34 (assume @p896 (forall @t29 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t1013 @t20) @t1013)))) % 1.11/1.34 (assume @p897 (forall @t29 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t91 @t20) @t1013)))) % 1.11/1.34 (assume @p898 (forall @t575 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t326 @t20) @t1013)))) % 1.11/1.34 (assume @p899 (forall @t163 (=> @t963 (= @t1033 @t1032)))) % 1.11/1.34 (assume @p900 (forall @t163 (=> @t963 (= @t1033 @t1035)))) % 1.11/1.34 (assume @p901 (forall @t163 (=> @t963 (= @t1033 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t1034 @t1031) @t128))))) % 1.11/1.34 (assume @p902 (forall @t163 (=> @t963 (= @t1032 @t1033)))) % 1.11/1.34 (assume @p903 (forall @t340 (=> @t963 (= @t1035 @t1033)))) % 1.11/1.34 (assume @p904 (forall @t1038 (=> @t963 (=> @t1037 (=> @t1036 (= @t1033 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t99 @t110) @t128))))))) % 1.11/1.34 (assume @p905 (forall @t1041 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1040 @t37) @t357) @t1039))) % 1.11/1.34 (assume @p906 (forall (@list @t357 @t37 @t39) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t39 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t37 @t357)) @t357) @t1039))) % 1.11/1.34 (assume @p907 (forall @t163 (=> @t1043 (= @t1042 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t21 @t1031) @t128))))) % 1.11/1.34 (assume @p908 (forall @t163 (=> @t1043 (= @t1042 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t1034 @t20) @t128))))) % 1.11/1.34 (assume @p909 (forall @t163 (=> @t1043 (= @t1042 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t1034 @t1031) @t128))))) % 1.11/1.34 (assume @p910 (forall @t1038 (=> @t1043 (=> @t1037 (=> @t1036 (= @t1042 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t99 @t110) @t128))))))) % 1.11/1.34 (assume @p911 (forall @t29 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t103 @t20) @t75)))) % 1.11/1.34 (assume @p912 (forall @t575 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t290 @t20) @t75)))) % 1.11/1.34 (assume @p913 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t21 @t69) @t75)))) % 1.11/1.34 (assume @p914 (forall @t163 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t990 @t20) @t1013)))) % 1.11/1.34 (assume @p915 (forall @t340 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t991 @t20) @t1013)))) % 1.11/1.34 (assume @p916 (forall @t163 (=> @t963 (= @t1044 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.hAPP @t102 @t1031) @t128))))) % 1.11/1.34 (assume @p917 (forall @t163 (=> @t963 (= @t1044 @t1046)))) % 1.11/1.34 (assume @p918 (forall @t163 (=> @t963 (= @t1044 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.hAPP @t1045 @t1031) @t128))))) % 1.11/1.34 (assume @p919 (forall @t338 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t296 @t295) (tptp.hAPP @t294 @t1013))))) % 1.11/1.34 (assume @p920 (forall @t340 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t275 @t274) (tptp.hAPP (tptp.hAPP @t43 @t1013) @t128))))) % 1.11/1.34 (assume @p921 (forall @t340 (=> @t963 (= @t1046 @t1044)))) % 1.11/1.34 (assume @p922 (forall @t1038 (=> @t963 (=> @t1037 (=> @t1036 (= @t1044 (tptp.c_Divides_Odiv__class_Omod @t22 (tptp.hAPP @t100 @t110) @t128))))))) % 1.11/1.34 (assume @p923 (forall @t662 (= @t1050 @t1048))) % 1.11/1.34 (assume @p924 (forall @t662 (= @t1048 @t1050))) % 1.11/1.34 (assume @p925 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t75 @t21) @t75)))) % 1.11/1.34 (assume @p926 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t21 @t75) @t21)))) % 1.11/1.34 (assume @p927 (forall @t114 (=> @t963 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t21 @t21) @t75)))) % 1.11/1.34 (assume @p928 (forall @t877 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t21) @t775))) % 1.11/1.34 (assume @p929 (forall @t962 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t775 @t20) @t775))) % 1.11/1.34 (assume @p930 (forall @t1053 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t422 @t197) @t775) (exists @t1052 (= @t422 (tptp.hAPP (tptp.hAPP @t779 @t197) @t1051)))))) % 1.11/1.34 (assume @p931 (forall @t545 (=> @t868 (=> @t869 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t39 @t37)))))) % 1.11/1.34 (assume @p932 (forall @t953 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t357) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t357 @t250) @t357)))) % 1.11/1.34 (assume @p933 (forall @t192 (=> @t978 @t1054))) % 1.11/1.34 (assume @p934 (forall @t192 (=> @t960 @t1055))) % 1.11/1.34 (assume @p935 (forall @t1041 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t776 @t1040) @t37) @t357) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t778 @t357)))) % 1.11/1.34 (assume @p936 (forall @t450 (=> @t654 (=> @t439 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t250 @t366) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t250 @t357)))))) % 1.11/1.34 (assume @p937 (forall @t419 (=> @t603 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t371 @t366) @t357)))) % 1.11/1.34 (assume @p938 (forall @t419 (=> @t603 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t505 @t366) @t357)))) % 1.11/1.34 (assume @p939 (forall @t448 (=> @t653 @t1025))) % 1.11/1.34 (assume @p940 (forall @t419 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t366) (=> @t654 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1011 @t357))))) % 1.11/1.34 (assume @p941 (forall @t541 (=> @t981 (=> @t982 @t1056)))) % 1.11/1.34 (assume @p942 (forall @t192 (=> @t978 (and @t1057 @t1054)))) % 1.11/1.34 (assume @p943 (forall @t192 (=> @t978 @t1057))) % 1.11/1.34 (assume @p944 (forall @t541 (=> @t975 (=> @t980 @t1056)))) % 1.11/1.34 (assume @p945 (forall @t192 (=> @t960 (and @t1058 @t1055)))) % 1.11/1.34 (assume @p946 (forall @t192 (=> @t960 @t1058))) % 1.11/1.34 (assume @p947 (forall @t541 (= @t21 @t1059))) % 1.11/1.34 (assume @p948 (forall @t662 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1047 @t128) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t856 @t1022) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1049 @t128))))) % 1.11/1.34 (assume @p949 (forall (@list @t250 @t21 @t20) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1059 @t250) @t1060))) % 1.11/1.34 (assume @p950 (forall (@list @t250 @t20 @t21) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t779 @t959) @t20) @t1014) @t250) @t1060))) % 1.11/1.34 (assume @p951 (forall @t374 (= @t1062 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t357 (tptp.hAPP (tptp.hAPP @t779 @t1061) @t366))))) % 1.11/1.34 (assume @p952 (forall @t419 (= (tptp.hAPP (tptp.hAPP @t779 @t366) @t1061) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t357 @t1062)))) % 1.11/1.34 (assume @p953 (forall @t419 (=> @t603 (and @t1012 @t1064)))) % 1.11/1.34 (assume @p954 (forall @t419 (=> @t603 @t1064))) % 1.11/1.34 (assume @p955 (forall @t998 (= (tptp.hBOOL (tptp.hAPP @t683 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t421 @t430))) (and (=> @t510 @t687) (=> (not @t510) (forall @t1007 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t933 @t430) (=> (= @t421 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t512 @t722) @t933)) @t724)))))))) % 1.11/1.34 (assume @p956 (forall @t541 (=> @t858 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1023 @t775) (= @t1014 @t1023))))) % 1.11/1.34 (assume @p957 (forall (@list @t421 @t422 @t683) (= (tptp.hBOOL (tptp.hAPP @t683 @t1065)) (or (and @t506 @t687) (exists @t1052 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t516 @t1051) @t422) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t422 (tptp.hAPP @t516 (tptp.c_Nat_OSuc @t1051))) (tptp.hBOOL (tptp.hAPP @t683 @t1051)))))))) % 1.11/1.34 (assume @p958 (forall (@list @t422 @t174 @t421) (=> @t588 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t516 @t174) @t422) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t422 (tptp.hAPP @t516 (tptp.c_Nat_OSuc @t174)))) (= @t174 @t1065))))) % 1.11/1.34 (assume @p959 (forall @t419 (=> @t603 (=> @t438 @t1063)))) % 1.11/1.34 (assume @p960 (forall @t998 (= (tptp.hBOOL (tptp.hAPP @t683 @t1008)) (and (=> @t969 @t726) (=> @t973 (forall @t1007 (=> @t996 @t1066))) (=> @t995 (forall @t1007 (=> @t994 @t1066))))))) % 1.11/1.34 (assume @p961 (forall @t1068 (=> @t987 (=> @t855 (=> @t845 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t775 @t1067)))))) % 1.11/1.34 (assume @p962 (forall @t1068 (=> @t987 (=> @t855 (=> @t845 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1067 @t986)))))) % 1.11/1.34 (assume @p963 (forall @t1069 (=> @t987 (=> @t866 (=> @t867 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t986 @t1067)))))) % 1.11/1.34 (assume @p964 (forall @t1069 (=> @t987 (=> @t866 (=> @t867 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1067 @t775)))))) % 1.11/1.34 (assume @p965 (forall (@list @t37 @t1070 @t999 @t1000) (=> (= @t1000 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1005 @t1070) @t37)) (=> (and (=> @t1003 (and @t869 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t999))) (=> @t1004 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t999 @t37) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t775)))) (=> @t1001 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1000 @t999) @t37)))))) % 1.11/1.34 (assume @p966 (forall @t988 (=> @t987 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t986) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t959 @t128)) @t1014))))) % 1.11/1.34 (assume @p967 (forall @t1010 (=> @t973 (= @t1009 (forall @t1007 (=> @t996 @t1006)))))) % 1.11/1.34 (assume @p968 (forall @t545 (=> @t896 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t37) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t39 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t37))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t542 @t37)))))) % 1.11/1.34 (assume @p969 (forall @t889 (= (tptp.c_Complex_Ocis (tptp.hAPP (tptp.hAPP @t41 @t946) @t21)) (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Complex_Ocis @t21)) (tptp.c_Complex_Ocis @t875))))) % 1.11/1.34 (assume @p970 (forall (@list @t128 @t21) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t21) @t128) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1072 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t909 @t128)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1071 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t909 @t128)) @t128))))) % 1.11/1.34 (assume @p971 (forall (@list @t39 @t126) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t364 @t126) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t599 @t1073) (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 @t39 @t126)) (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 @t39 @t126)) @t1073)))))) % 1.11/1.34 (assume @p972 (forall @t662 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1075 @t20) @t128) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1075 @t1076) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1075 @t1074) @t128))))) % 1.11/1.34 (assume @p973 (forall @t662 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t1020) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1019 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1018 @t128)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t20))))) % 1.11/1.34 (assume @p974 (forall @t155 (=> @t1030 (= (tptp.c_Divides_Odiv__class_Omod @t56 @t39 @t1029) (tptp.c_Groups_Oplus__class_Oplus @t56 (tptp.hAPP @t1028 (tptp.c_Divides_Odiv__class_Omod @t56 @t1027 @t122)) (tptp.c_Divides_Odiv__class_Omod @t56 @t39 @t37)))))) % 1.11/1.34 (assume @p975 (forall @t374 (= @t1079 @t1078))) % 1.11/1.34 (assume @p976 (forall @t419 (= (tptp.hAPP @t427 @t1011) @t1078))) % 1.11/1.34 (assume @p977 (forall @t374 (= @t1077 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t1079)))) % 1.11/1.34 (assume @p978 (forall @t662 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t20) @t128) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1072 @t1076) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1071 @t1074) @t128))))) % 1.11/1.34 (assume @p979 (forall @t619 (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 @t366 @t39)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t557 @t599)))) % 1.11/1.34 (assume @p980 (forall @t419 (=> @t438 (= @t1077 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t428 @t366))))) % 1.11/1.34 (assume @p981 (forall @t374 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1077 @t357))) % 1.11/1.34 (assume @p982 (forall @t1053 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t422 @t197) @t364) (exists @t1052 (= @t422 (tptp.hAPP (tptp.hAPP @t369 @t197) @t1051)))))) % 1.11/1.34 (assume @p983 (forall @t475 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t446 @t357) @t366) @t1077))) % 1.11/1.34 (assume @p984 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t369 @t1077) @t250) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t459 @t458)))) % 1.11/1.34 (assume @p985 (forall @t448 (= (tptp.hAPP @t445 @t1077) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t447 @t446)))) % 1.11/1.34 (assume @p986 (forall @t419 (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1077 @t366)))) % 1.11/1.34 (assume @p987 (forall @t1083 (=> @t1082 (tptp.class_Groups_Ocancel__comm__monoid__add @t1081)))) % 1.11/1.34 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p992 (forall @t1086 (=> (tptp.class_Orderings_Opreorder @t1080) (tptp.class_Orderings_Opreorder @t1085)))) % 1.11/1.34 (assume @p993 (forall @t1086 (=> (tptp.class_Orderings_Oorder @t1080) (tptp.class_Orderings_Oorder @t1085)))) % 1.11/1.34 (assume @p994 (forall @t1086 (=> (tptp.class_Orderings_Oord @t1080) (tptp.class_Orderings_Oord @t1085)))) % 1.11/1.34 (assume @p995 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p996 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p998 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p999 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1000 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1001 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1002 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1003 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1004 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1005 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1006 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1007 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1008 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1009 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1010 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1011 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1012 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1013 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1014 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1015 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1016 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1018 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1019 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1020 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1021 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1023 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1024 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1025 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1026 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1027 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1028 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1029 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1030 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1031 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1032 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1033 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1034 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1035 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1036 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1037 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1038 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1039 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1040 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1041 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1042 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1043 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1044 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1045 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1046 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1047 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1048 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1049 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1050 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1051 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1052 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.11/1.34 (assume @p1053 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1054 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1055 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1056 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1057 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1058 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1059 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1060 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1061 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1062 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1063 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1064 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1065 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1066 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1068 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1069 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1070 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1073 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1074 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1075 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1076 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1077 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1078 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1079 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1080 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1081 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1082 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1083 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1084 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1085 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1086 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1087 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1088 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.11/1.34 (assume @p1089 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.11/1.34 (assume @p1090 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.11/1.34 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.11/1.34 (assume @p1092 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1093 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1094 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1095 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1096 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1097 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1098 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1100 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1101 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1102 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1103 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1104 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1105 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1106 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1107 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1108 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1109 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1110 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1111 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1112 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1113 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1114 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1115 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1116 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1117 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1118 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1119 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1120 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1121 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1122 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1123 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1124 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1125 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1126 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1127 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1128 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1129 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1130 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1131 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1132 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1133 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1134 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1135 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1136 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1137 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1138 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1139 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1140 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1141 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1142 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1143 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1144 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1145 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1146 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1147 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1148 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1149 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1150 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1151 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1152 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.11/1.34 (assume @p1153 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1154 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1155 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1156 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1157 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1158 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1159 @t1087) % 1.11/1.34 (assume @p1160 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1161 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1162 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1163 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1164 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1165 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1166 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1167 @t1088) % 1.11/1.34 (assume @p1168 @t1089) % 1.11/1.34 (assume @p1169 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1170 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1171 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1172 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1173 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1174 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1175 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1176 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1177 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1178 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1179 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1180 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1181 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1182 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1183 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1184 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1185 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1186 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1187 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (assume @p1188 (forall @t1083 (=> @t1090 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1081)))) % 1.11/1.34 (assume @p1189 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1081)))) % 1.11/1.34 (assume @p1190 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1081)))) % 1.11/1.34 (assume @p1191 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1081)))) % 1.11/1.34 (assume @p1192 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__semiring__1__strict @t1081)))) % 1.11/1.34 (assume @p1193 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__semiring__strict @t1081)))) % 1.11/1.34 (assume @p1194 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oordered__ab__semigroup__add @t1081)))) % 1.11/1.34 (assume @p1195 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oordered__ab__group__add__abs @t1081)))) % 1.11/1.34 (assume @p1196 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oordered__comm__monoid__add @t1081)))) % 1.11/1.34 (assume @p1197 (forall @t1083 (=> @t1091 (tptp.class_Groups_Olinordered__ab__group__add @t1081)))) % 1.11/1.34 (assume @p1198 (forall @t1083 (=> @t1082 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1081)))) % 1.11/1.34 (assume @p1199 (forall @t1083 (=> @t1090 (tptp.class_Rings_Oring__1__no__zero__divisors @t1081)))) % 1.11/1.34 (assume @p1200 (forall @t1083 (=> @t1091 (tptp.class_Rings_Oordered__cancel__semiring @t1081)))) % 1.11/1.34 (assume @p1201 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__ring__strict @t1081)))) % 1.11/1.34 (assume @p1202 (forall @t1083 (=> @t1090 (tptp.class_Rings_Oring__no__zero__divisors @t1081)))) % 1.11/1.34 (assume @p1203 (forall @t1083 (=> @t1091 (tptp.class_Rings_Oordered__comm__semiring @t1081)))) % 1.11/1.34 (assume @p1204 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__semiring__1 @t1081)))) % 1.11/1.34 (assume @p1205 (forall @t1083 (=> @t1091 (tptp.class_Groups_Oordered__ab__group__add @t1081)))) % 1.11/1.34 (assume @p1206 (forall @t1083 (=> @t1082 (tptp.class_Groups_Ocancel__semigroup__add @t1081)))) % 1.11/1.34 (assume @p1207 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__semiring @t1081)))) % 1.11/1.34 (assume @p1208 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__semidom @t1081)))) % 1.11/1.34 (assume @p1209 (forall @t1083 (=> @t1092 (tptp.class_Groups_Oab__semigroup__mult @t1081)))) % 1.11/1.34 (assume @p1210 (forall @t1083 (=> @t1093 (tptp.class_Groups_Ocomm__monoid__mult @t1081)))) % 1.11/1.34 (assume @p1211 (forall @t1083 (=> @t1094 (tptp.class_Groups_Oab__semigroup__add @t1081)))) % 1.11/1.34 (assume @p1212 (forall @t1083 (=> @t1091 (tptp.class_Rings_Oordered__semiring @t1081)))) % 1.11/1.34 (assume @p1213 (forall @t1083 (=> @t1091 (tptp.class_Rings_Oordered__ring__abs @t1081)))) % 1.11/1.34 (assume @p1214 (forall @t1083 (=> @t1090 (tptp.class_Rings_Ono__zero__divisors @t1081)))) % 1.11/1.34 (assume @p1215 (forall @t1083 (=> @t1094 (tptp.class_Groups_Ocomm__monoid__add @t1081)))) % 1.11/1.34 (assume @p1216 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__ring @t1081)))) % 1.11/1.34 (assume @p1217 (forall @t1083 (=> @t1091 (tptp.class_Rings_Olinordered__idom @t1081)))) % 1.11/1.34 (assume @p1218 (forall @t1083 (=> @t1093 (tptp.class_Rings_Ocomm__semiring__1 @t1081)))) % 1.11/1.34 (assume @p1219 (forall @t1083 (=> @t1092 (tptp.class_Rings_Ocomm__semiring__0 @t1081)))) % 1.11/1.34 (assume @p1220 (forall @t1083 (=> @t1095 (tptp.class_Divides_Osemiring__div @t1081)))) % 1.11/1.34 (assume @p1221 (forall @t1083 (=> @t1092 (tptp.class_Rings_Ocomm__semiring @t1081)))) % 1.11/1.34 (assume @p1222 (forall @t1083 (=> @t1096 (tptp.class_Groups_Oab__group__add @t1081)))) % 1.11/1.34 (assume @p1223 (forall @t1083 (=> @t1093 (tptp.class_Rings_Ozero__neq__one @t1081)))) % 1.11/1.34 (assume @p1224 (forall @t1083 (=> @t1091 (tptp.class_Rings_Oordered__ring @t1081)))) % 1.11/1.34 (assume @p1225 (forall @t1083 (=> @t1091 (tptp.class_Orderings_Opreorder @t1081)))) % 1.11/1.34 (assume @p1226 (forall @t1083 (=> @t1091 (tptp.class_Orderings_Olinorder @t1081)))) % 1.11/1.34 (assume @p1227 (forall @t1083 (=> @t1093 (tptp.class_Groups_Omonoid__mult @t1081)))) % 1.11/1.34 (assume @p1228 (forall @t1083 (=> @t1097 (tptp.class_Rings_Ocomm__ring__1 @t1081)))) % 1.11/1.34 (assume @p1229 (forall @t1083 (=> @t1094 (tptp.class_Groups_Omonoid__add @t1081)))) % 1.11/1.34 (assume @p1230 (forall @t1083 (=> @t1092 (tptp.class_Rings_Osemiring__0 @t1081)))) % 1.11/1.34 (assume @p1231 (forall @t1083 (=> @t1096 (tptp.class_Groups_Ogroup__add @t1081)))) % 1.11/1.34 (assume @p1232 (forall @t1083 (=> @t1095 (tptp.class_Divides_Oring__div @t1081)))) % 1.11/1.34 (assume @p1233 (forall @t1083 (=> @t1092 (tptp.class_Rings_Omult__zero @t1081)))) % 1.11/1.34 (assume @p1234 (forall @t1083 (=> @t1098 (tptp.class_Rings_Ocomm__ring @t1081)))) % 1.11/1.34 (assume @p1235 (forall @t1083 (=> @t1091 (tptp.class_Orderings_Oorder @t1081)))) % 1.11/1.34 (assume @p1236 (forall @t1083 (=> @t1091 (tptp.class_Int_Oring__char__0 @t1081)))) % 1.11/1.34 (assume @p1237 (forall @t1083 (=> @t1092 (tptp.class_Rings_Osemiring @t1081)))) % 1.11/1.34 (assume @p1238 (forall @t1083 (=> @t1091 (tptp.class_Orderings_Oord @t1081)))) % 1.11/1.34 (assume @p1239 (forall @t1083 (=> @t1091 (tptp.class_Groups_Osgn__if @t1081)))) % 1.11/1.34 (assume @p1240 (forall @t1083 (=> @t1097 (tptp.class_Rings_Oring__1 @t1081)))) % 1.11/1.34 (assume @p1241 (forall @t1083 (=> @t1093 (tptp.class_Power_Opower @t1081)))) % 1.11/1.34 (assume @p1242 (forall @t1083 (=> (tptp.class_Groups_Ozero @t1080) (tptp.class_Groups_Ozero @t1081)))) % 1.11/1.34 (assume @p1243 (forall @t1083 (=> @t1098 (tptp.class_Rings_Oring @t1081)))) % 1.11/1.34 (assume @p1244 (forall @t1083 (=> @t1090 (tptp.class_Rings_Oidom @t1081)))) % 1.11/1.34 (assume @p1245 (forall @t1083 (=> @t1093 (tptp.class_Groups_Oone @t1081)))) % 1.11/1.34 (assume @p1246 (forall @t237 (or (not @t1099) @t167))) % 1.11/1.34 (assume @p1247 (forall @t237 (or @t565 @t1099))) % 1.11/1.34 (assume @p1248 (not @t1102)) % 1.11/1.34 (assume @p1249 true) % 1.11/1.34 (step @p1250 :rule evaluate :args ((= false true))) % 1.11/1.34 (step @p1251 :rule bool-impl-elim :args (@t28 @t138)) % 1.11/1.34 (step @p1252 :rule cong :premises (@p1251) :args (@t139)) % 1.11/1.34 (step @p1253 :rule eq_resolve :premises (@p48 @p1252)) % 1.11/1.34 (step @p1254 :rule instantiate :premises (@p1253) :args (@t1103)) % 1.11/1.34 (step @p1255 :rule cnf_or_pos :args (@t1106)) % 1.11/1.34 (step @p1256 :rule reordering :premises (@p1255) :args ((or @t1105 @t1104 (not @t1106)))) % 1.11/1.34 (step @p1257 :rule chain_m_resolution :premises (@p1256 @p1159 @p1254) :args (@t1104 @t1107 (@list @t1087 @t1106))) % 1.11/1.34 (step @p1258 :rule true_intro :premises (@p1257)) % 1.11/1.34 (step @p1259 :rule bool-impl-elim :args (@t71 @t393)) % 1.11/1.34 (step @p1260 :rule cong :premises (@p1259) :args (@t394)) % 1.11/1.34 (step @p1261 :rule eq_resolve :premises (@p226 @p1260)) % 1.11/1.34 (step @p1262 :rule instantiate :premises (@p1261) :args (@t1103)) % 1.11/1.34 (step @p1263 :rule cnf_or_pos :args (@t1111)) % 1.11/1.34 (step @p1264 :rule reordering :premises (@p1263) :args ((or @t1110 @t1109 (not @t1111)))) % 1.11/1.34 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p1167 @p1262) :args (@t1109 @t1107 (@list @t1088 @t1111))) % 1.11/1.34 (step @p1266 :rule symm :premises (@p1265)) % 1.11/1.34 (step @p1267 :rule bool-impl-elim :args (@t62 @t140)) % 1.11/1.34 (step @p1268 :rule cong :premises (@p1267) :args (@t141)) % 1.11/1.34 (step @p1269 :rule eq_resolve :premises (@p49 @p1268)) % 1.11/1.34 (step @p1270 :rule instantiate :premises (@p1269) :args ((@list tptp.v_z____ @t9 tptp.v_aa____ tptp.tc_Complex_Ocomplex))) % 1.11/1.34 (step @p1271 :rule cnf_or_pos :args (@t1114)) % 1.11/1.34 (step @p1272 :rule reordering :premises (@p1271) :args ((or @t1113 @t1112 (not @t1114)))) % 1.11/1.34 (step @p1273 :rule chain_m_resolution :premises (@p1272 @p1168 @p1270) :args (@t1112 @t1107 (@list @t1089 @t1114))) % 1.11/1.34 (step @p1274 :rule trans :premises (@p1273 @p1266)) % 1.11/1.34 (step @p1275 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.11/1.34 (step @p1276 :rule cong :premises (@p1275 @p1274) :args (@t1101)) % 1.11/1.34 (step @p1277 :rule refl :args (@t17)) % 1.11/1.34 (step @p1278 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.11/1.34 (step @p1279 :rule cong :premises (@p1278 @p1277 @p1276) :args (@t1102)) % 1.11/1.34 (step @p1280 :rule false_intro :premises (@p1248)) % 1.11/1.34 (step @p1281 :rule symm :premises (@p1280)) % 1.11/1.34 (step @p1282 :rule trans :premises (@p1281 @p1279 @p1258)) % 1.11/1.34 (step @p1283 false :rule eq_resolve :premises (@p1282 @p1250)) % 1.11/1.34 ) % 1.11/1.34 % SZS output end Proof % 1.11/1.34 % cvc5 exiting %------------------------------------------------------------------------------